============================== Prover9 =============================== Prover9 (64) version 2017-09A, September 2017. Process 13980 was started by veroff on metis, Fri Apr 17 17:12:34 2020 The command was "prover9 -f TLRproperties_2.in". ============================== end of head =========================== ============================== INPUT ================================= % Reading from file TLRproperties_2.in assign(order,kbo). set(lex_order_vars). set(para_from_small). clear(back_demod). set(restrict_denials). assign(max_weight,5). formulas(assumptions). 1 * x = x. x * 1 = x. x \ (x * y) = y. x * (x \ y) = y. (x * y) / y = x. (x / y) * y = x. x * y = u & x * z = u -> y = z. y * x = u & z * x = u -> y = z. x * y = x * z -> y = z. y * x = z * x -> y = z. x != y | z * x = z * y. x != y | x * z = y * z. (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). (x * y) \ (y * x) = K(y,x) # label("commutator"). (y * x) \ (y * (x * u)) = L(u,x,y). ((u * x) * y) / (x * y) = R(u,x,y). x \ (u * x) = T(u,x). a(x,y,z) = 1 -> L(z,y,x) = z. L(x,y,z) = x -> a(z,y,x) = 1. T(x,y) = x -> T(y,x) = y. T(x,y) = x -> K(x,y) = 1. K(x,y) = 1 -> T(x,y) = x. T(T(u,x),y) = T(T(u,y),x) # label("AIM-TT condition"). T(L(u,x,y),z) = L(T(u,z),x,y). T(R(u,x,y),z) = R(T(u,z),x,y). L(R(u,x,y),z,w) = R(L(u,z,w),x,y). L(L(u,x,y),z,w) = L(L(u,z,w),x,y). R(R(u,x,y),z,w) = R(R(u,z,w),x,y). end_of_list. formulas(goals). K(x,R(y,z,u)) = K(x,L(y,z,u)) # label("KRKL"). T(x,R(y,z,u)) = T(x,L(y,z,u)) # label("TRTL"). R(K(x,y),z,u) = L(K(x,y),z,u) # label("RKLK 1"). R(x,K(y,z),u) = L(x,K(y,z),u) # label("RKLK 2"). R(x,y,K(z,u)) = L(x,y,K(z,u)) # label("RKLK 3"). L(K(x,y),z,u) = K(x,L(y,z,u)) # label("LKKL"). end_of_list. formulas(hints). L(K(x,y),z,u) = K(x,L(y,z,u)). 1 * x = x. x * 1 = x. x \ (x * y) = y. x * (x \ y) = y. (x * y) / y = x. (x / y) * y = x. x * y != z | x * u != z | u = y. x * y != z | u * y != z | u = x. x * y != x * z | y = z. x * y != z * y | x = z. x != y | z * x = z * y. x != y | x * z = y * z. (x * (y * z)) \ ((x * y) * z) = a(x,y,z). a(x,y,z) = (x * (y * z)) \ ((x * y) * z). (x * y) \ (y * x) = K(y,x). K(x,y) = (y * x) \ (x * y). (x * y) \ (x * (y * z)) = L(z,y,x). L(x,y,z) = (z * y) \ (z * (y * x)). ((x * y) * z) / (y * z) = R(x,y,z). R(x,y,z) = ((x * y) * z) / (y * z). x \ (y * x) = T(y,x). T(x,y) = y \ (x * y). a(x,y,z) != 1 | L(z,y,x) = z. L(x,y,z) != x | a(z,y,x) = 1. T(x,y) != x | T(y,x) = y. T(x,y) != x | K(x,y) = 1. K(x,y) != 1 | T(x,y) = x. T(T(x,y),z) = T(T(x,z),y). T(L(x,y,z),u) = L(T(x,u),y,z). L(T(x,y),z,u) = T(L(x,z,u),y). T(R(x,y,z),u) = R(T(x,u),y,z). R(T(x,y),z,u) = T(R(x,z,u),y). L(R(x,y,z),u,w) = R(L(x,u,w),y,z). R(L(x,y,z),u,w) = L(R(x,u,w),y,z). L(L(x,y,z),u,w) = L(L(x,u,w),y,z). R(R(x,y,z),u,w) = R(R(x,u,w),y,z). L(K(c21,c22),c23,c24) != K(c21,L(c22,c23,c24)). x * (1 * 1) = x. 1 \ x = x. x \ x = 1. x \ (x * (y \ (y * z))) = z. (x * (x \ 1)) * y = y. x * (x \ (1 * y)) = y. x * (y * (y \ 1)) = x. x \ (y * (y \ (x * z))) = z. x * (y * (y \ (x \ z))) = z. x / x = 1. x / 1 = x. x * (((x \ y) * z) / z) = y. x / (y \ x) = y. ((1 / x) * x) * y = y. x * ((1 / y) * y) = x. (x / y) \ x = y. x \ (((x * y) / z) * z) = y. (x \ (x * (y / z))) * z = y. ((x * (x \ y)) / z) * z = y. (((x * y) / z) * z) / y = x. (((x / y) / z) * z) * y = x. x != y | 1 * z != y | z = x. x != y | z * u != y | u = z \ x. x != y | z * u != y | z \ x = u. x != y | z * u != y | z = x / u. x != y | z * u != y | x / u = z. x != 1 * y | x = y. 1 * x != y | y = x. 1 * x != y | x = y. x * y != (x * z) * 1 | y = z. (x * y) * 1 != x * z | z = y. x != y * z | y \ x = z. x * y != z | x \ z = y. x * y != z * (z \ (x * u)) | y = u. x * (x \ (y * z)) != y * u | u = z. (x / y) * z != x | z = y. x != y * 1 | x = y. x * 1 != y | y = x. x * y != z \ (z * (u * y)) | x = u. x \ (x * (y * z)) != u * z | u = y. x * (y \ z) != z | x = y. x != y * z | x / z = y. x * y != z | z / y = x. x * (y * (y \ z)) = x * z. ((x / y) * y) * z = x * z. (x * (x \ y)) * z = y * z. (x * (y * z)) * a(x,y,z) = (x * y) * z. (x * y) * K(y,x) = y * x. K(x \ y,x) = y \ ((x \ y) * x). x \ ((y \ x) * y) = K(y \ x,y). K(x,x \ y) = ((x \ y) * x) \ y. ((x \ y) * x) \ y = K(x,x \ y). K(x,y / x) = y \ (x * (y / x)). x \ (y * (x / y)) = K(y,x / y). K(x / y,y) = (y * (x / y)) \ x. (x * (y / x)) \ y = K(y / x,x). L(x,1,y) = (y * 1) \ (y * x). (x * 1) \ (x * y) = L(y,1,x). L(1,x,y) = (y * x) \ (y * x). (x * y) \ (x * y) = L(1,y,x). (x * y) * L(z,y,x) = x * (y * z). L(x \ y,x,z) = (z * x) \ (z * y). L(x,y,z / y) = z \ ((z / y) * (y * x)). x \ ((x / y) * (y * z)) = L(z,y,x / y). L(x,y / x,z) = (z * (y / x)) \ (z * y). R(1,x,y) = (x * y) / (x * y). (x * y) / (x * y) = R(1,x,y). R(x,1,y) = ((x * 1) * y) / y. ((x * 1) * y) / y = R(x,1,y). R(x,x \ y,z) = (y * z) / ((x \ y) * z). R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). R(x,y,z) * (y * z) = (x * y) * z. R(x / y,y,z) = (x * z) / (y * z). T(1,x) = x \ x. T(x,x) = x. x * T(y,x) = y * x. T(x,x \ y) = (x \ y) \ y. T(x / y,y) = y \ x. T(R(T(x,y),z,u),w) = T(T(R(x,z,u),w),y). T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). x * y != z | y = x \ z. x = y \ (1 \ (y * x)). x \ (1 \ (x * y)) = y. (x * (x \ 1)) \ y = y. ((1 / x) * x) \ y = y. x / (y * (y \ 1)) = x. x / ((1 / y) * y) = x. T(x,y) = T(T(x,y),x). T(T(x,y),x) = T(x,y). L(x,y,z) = T(L(x,y,z),x). T(L(x,y,z),x) = L(x,y,z). 1 * 1 = x \ x. x \ x = 1 * 1. (x / (y \ x)) * z = y * z. (x * y) / K(x,y) = y * x. (x * (y * z)) / L(z,y,x) = x * y. (x * y) / T(x,y) = y. x / (y / ((z \ x) \ y)) = z. ((x / y) \ x) * z = y * z. x = (y / (1 * x)) \ y. (x / (1 * y)) \ x = y. x * ((y / (x \ z)) \ y) = z. R(x,y,z) \ ((x * y) * z) = y * z. T(1,x) = 1. T(x,1) = x. x \ x != y | y = 1. x \ x != y | 1 = y. ((1 / x) * x) * y != z | y = z. x * (y * (y \ 1)) != z | z = x. R(x,x \ 1,y) = y / ((x \ 1) * y). L(x \ 1,x,y) = (y * x) \ y. R(1 / x,x,y) = y / (x * y). a(x,1 / y,y) = x \ ((x * (1 / y)) * y). x \ ((x * (1 / y)) * y) = a(x,1 / y,y). L(x,1 / x,y) = (y * (1 / x)) \ y. x * y != ((x * z) / u) * u | y = z. T((x * y) / x,x) = y. x * y != z | x = z / y. x = (y * T(x,y)) / y. (x * T(y,x)) / x = y. x = y \ (x * T(y,x)). x \ (y * T(x,y)) = y. (x \ y) * T(x,x \ y) = y. x * (y * (y \ T(z,x))) = z * x. x * T(y / x,x) = y. x * y != z | y * u != z | u = T(x,y). x * y != z | y * u != z | T(x,y) = u. x * y != y * z | T(x,y) = z. x * y != z * x | T(z,x) = y. x * y != y * T(z,y) | x = z. x * T(y,x) != z * x | z = y. K(T(x,y),y) = (x * y) \ (T(x,y) * y). (x * y) \ (T(x,y) * y) = K(T(x,y),y). L(T(x,y),y,z) = (z * y) \ (z * (x * y)). (x * y) \ (x * (z * y)) = L(T(z,y),y,x). R(x,y,T(z,y)) = ((x * y) * T(z,y)) / (z * y). ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). x * T(T(y,x),z) = T(y,z) * x. x * L(T(y,x),z,u) = L(y,z,u) * x. x * R(T(y,x),z,u) = R(y,z,u) * x. T(x \ y,z) = T(T(y / x,z),x). T(T(x / y,z),y) = T(y \ x,z). L(x \ y,z,u) = T(L(y / x,z,u),x). T(L(x / y,z,u),y) = L(y \ x,z,u). R(x \ y,z,u) = T(R(y / x,z,u),x). T(R(x / y,z,u),y) = R(y \ x,z,u). T(x / (x / y),x / y) = y. K(x \ 1,x) = (x \ 1) * x. L(x,y \ 1,y) = y * ((y \ 1) * x). x * ((x \ 1) * y) = L(y,x \ 1,x). K(x,1 / x) = x * (1 / x). L(x,y,1 / y) = (1 / y) * (y * x). (1 / x) * (x * y) = L(y,x,1 / x). R(x,y,y \ 1) = (x * y) * (y \ 1). (x * y) * (y \ 1) = R(x,y,y \ 1). R(x,1 / y,y) = (x * (1 / y)) * y. (x * (1 / y)) * y = R(x,1 / y,y). K(T(x,y),x) = 1. T(x,T(x,y)) = x. x * T(x,y) = T(x,y) * x. T(x,y) * x = x * T(x,y). x / T(y,y \ x) = y \ x. (T(x,y) * z) / T(T(x,z),y) = z. (x / (1 * y)) * y = x. T(x,y) = T(T((z * x) / z,y),z). T(T((x * y) / x,z),x) = T(y,z). K(x,(y * x) / y) = 1. (x * T(T(y,x),z)) / x = T(y,z). T(x,(y * x) / y) = x. x * L(y,z,u) != u * (z * y) | x = u * z. x * L(y,z,u) != u * (z * y) | u * z = x. x != y | y / 1 = x. x / 1 = (y / x) \ y. (x / y) \ x = y / 1. x / 1 = y * (y \ x). x * (x \ y) = y / 1. x / 1 = 1 * x. x / 1 != y | y = x. x / 1 != y | x = y. x / (y * (y \ 1)) != z | z = x. x / ((1 / y) * y) != z | z = x. (x / y) \ x != z | z = y. x * (x \ y) != z | z = y. x \ (x * y) != z | z = y. x \ (y * x) != z | z = T(y,x). x \ (y * x) != z | T(y,x) = z. (x * y) * L(z,y,x) != u | u = x * (y * z). (x * y) * L(z,y,x) != u | x * (y * z) = u. x * T(y,x) != z | z = y * x. x * T(y,x) != z | y * x = z. (x / y) * y != z | z = x. (x * (x \ 1)) \ y != z | z = y. ((1 / x) * x) \ y != z | z = y. x * y != z | z = y * T(x,y). x * y != z | y * T(x,y) = z. R(x,y,z) * (y * z) != u | u = (x * y) * z. R(x,y,z) * (y * z) != u | (x * y) * z = u. x \ (y * (y \ x)) = 1. (x / y) \ (z * (z \ x)) = y. x \ ((x * y) * L(z,y,x)) = y * z. x * 1 = y * (y \ x). x * (x \ y) = y * 1. x * 1 != y * z | y \ x = z. (x / y) * y = x * 1. x * 1 != y * z | x / z = y. x * (x \ y) = (y / z) * z. (x / y) * y = z * (z \ x). L(x \ (y \ z),x,y) = (y * x) \ z. x * (y * (y \ z)) = u * (u \ (x * z)). x * (x \ (y * z)) = y * (u * (u \ z)). ((1 * x) / y) \ x = y. (x / y) * y = 1 * x. 1 * x != y * z | x / z = y. (x / ((y / z) * z)) * y = x. (((x / y) * y) / z) \ x = z. ((x / y) * y) / z = x / z. R((x / y) / z,z,y) = x / (z * y). ((x / y) * y) * (x \ z) = z. x != y | z != y | z = x. x != y | x = z / (y \ z). (x * y) / y = z / (x \ z). x * (x \ y) = z / (y \ z). x / (y \ x) = z * (z \ y). x != y | x = (y / z) * z. (x * y) / y = (x / z) * z. x != y | x = z * (z \ y). x \ (x * y) = z * (z \ y). (x / (y * (y \ z))) * z = x. x * y != z * y | x = (z / u) * u. x * y != z * y | (z / u) * u = x. x != (y * (y \ z)) * u | x = z * u. (x \ y) * x = y * K(x \ y,x). x * K(y \ x,y) = (y \ x) * y. x != ((y / z) * z) * u | x = y * u. x * (y / x) = y * K(x,y / x). x * K(y,x / y) = y * (x / y). x * y != (y * x) * z | K(x,y) = z. (x * y) * z != y * x | K(y,x) = z. L(K(x,y),y * x,z) = (z * (y * x)) \ (z * (x * y)). (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). R(x,y,K(y,x)) = (y * x) / (y * K(y,x)). (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). (x * y) / T(y * x,K(x,y)) = K(x,y). (x * y) \ (y * x) != z | z = K(y,x). (x * y) \ (y * x) != z | K(y,x) = z. T(x,x \ y) * z = ((x \ y) \ y) * z. x * T(y,y \ z) = x * ((y \ z) \ z). (x \ y) \ y = z * (z \ T(x,x \ y)). T((x \ y) \ y,z) = T(T(x,z),x \ y). T(T(x,y),x \ z) = T((x \ z) \ z,y). T(x,L(x,y,z)) = x. x / K(y,y \ x) = (y \ x) * y. x != y * (y \ z) | x = z. ((x / y) \ x) * (y \ z) = z. x * (((y / x) \ y) \ z) = z. ((x / y) \ x) * z != u | y \ u = z. (x / y) * ((z / y) \ z) = x. x != (y \ x) * z | T(y,y \ x) = z. (x \ y) * z != y | T(x,x \ y) = z. T(x / (x / y),(z / (x / y)) \ z) = y. x != y * z | x = z * T(y,z). K(x \ 1,x) = x * T(x \ 1,x). x * T(x \ 1,x) = K(x \ 1,x). (x \ 1) \ K(x \ 1,x) = x. R(x \ 1,x,y) = (K(x \ 1,x) * y) / (x * y). (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). T(x \ 1,x) = x \ K(x \ 1,x). x \ K(x \ 1,x) = T(x \ 1,x). L(x,1 / y,y) = K(y,1 / y) \ (y * ((1 / y) * x)). K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). x * y != z * (z \ u) | x = u / y. z * (z \ u) != x * y | x = u / y. x * (x \ y) != z * u | y / u = z. x * ((y / (z \ u)) \ y) != u | x = z. x / (y \ ((x / z) * z)) = y. R(x,y / z,z) * y = (x * (y / z)) * z. R(x / y,y,x \ z) = z / (y * (x \ z)). (x / (y \ x)) * z != u | u = y * z. (x / (y \ x)) * z != u | y * z = u. x / (y \ x) != z | z = y. (x * y) / y != z | z = x. x / x != y | y = 1. x / x != y | 1 = y. (x * y) / y != z * u | x / u = z. ((x / y) * y) * z != u | u = x * z. ((x / y) * y) * z != u | x * z = u. x * (y * (y \ z)) != u | u = x * z. x * (y * (y \ z)) != u | x * z = u. R(x,y,y \ z) * z = (x * y) * (y \ z). (x \ 1) * x != y | y = K(x \ 1,x). (x \ 1) * x != y | K(x \ 1,x) = y. x * y != x * z | z = y. x \ (x * y) = L(y,1,x). L(x,1,y) = x. L(x,1,y) != z | z = x. 1 = L(1,x,y). L(1,x,y) = 1. 1 = R(1,x,y). R(1,x,y) = 1. (x * y) / y = R(x,1,y). R(x,1,y) = x. x != ((1 / y) * y) \ z | x = z. L(x \ 1,x,1 / x) = 1 / x. x * L(y \ 1,y,z) = x * ((z * y) \ z). (x * y) * L(y \ 1,y,x) = x. L((x \ y) \ 1,x \ y,x) = y \ x. L(x \ 1,x,y / x) = y \ (y / x). L(T(x \ 1,y),x,z) = T((z * x) \ z,y). T((x * y) \ x,z) = L(T(y \ 1,z),y,x). R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). L((x * y) \ x,z,u) = L(L(y \ 1,z,u),y,x). L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). x / L(y \ 1,y,x) = x * y. x != y / (z * (z \ 1)) | x = y. R(1 / x,x,x \ 1) = x \ 1. R(1 / x,x,x \ y) = (x \ y) / y. R(1 / (x / y),x / y,y) = y / x. R(T(1 / x,y),x,z) = T(z / (x * z),y). T(x / (y * x),z) = R(T(1 / y,z),y,x). R(x / (y * x),z,u) = R(R(1 / y,z,u),y,x). R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). R(1 / x,x,y) \ y = x * y. T(x,y) * z != x * y | T(y,T(x,y)) = z. x * T(T(y,x),z) != u * x | u = T(y,z). x * T(T(y,x),z) != u * x | T(y,z) = u. T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. T(x,x \ y) \ y != z | T(x \ y,T(x,x \ y)) = z. x * T(T(y,x),z) != u | T(y,z) * x = u. x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. K(x \ 1,x) != y | y = (x \ 1) * x. K(x \ 1,x) != y | (x \ 1) * x = y. K(x,1 / x) != y | y = x * (1 / x). K(x,1 / x) != y | x * (1 / x) = y. L(x,y,1 / y) != z | z = (1 / y) * (y * x). L(x,y,1 / y) != z | (1 / y) * (y * x) = z. x * (y * (y \ 1)) != z * u | z \ x = u. x * (x \ y) != z * u | z \ y = u. (x / y) * y != z * u | x / u = z. ((1 / x) * x) * y != z * u | y / u = z. L(T(x \ 1,y),x,1 / x) = T(1 / x,y). (x * y) \ x != z | z = L(y \ 1,y,x). (x * y) \ x != z | L(y \ 1,y,x) = z. x / L(y,1 / y,x) = x * (1 / y). ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. R(T(1 / x,y),x,x \ 1) = T(x \ 1,y). R(x,x \ 1,y) \ y = (x \ 1) * y. x / (y * x) != z | z = R(1 / y,y,x). x / (y * x) != z | R(1 / y,y,x) = z. x * y != (z \ u) \ u | x \ T(z,z \ u) = y. x \ T(y,y \ z) = x \ ((y \ z) \ z). x * y != (z * u) \ (z * (u * w)) | x \ L(w,u,z) = y. (1 / x) \ L(y,x,1 / x) = x * y. x \ L(y,x \ 1,x) = (x \ 1) * y. x * y != ((z * u) * w) / (u * w) | R(z,u,w) / y = x. R(x,y,y \ 1) / (y \ 1) = x * y. x * y != L(z \ 1,z,u) | ((u * z) \ u) / y = x. ((x * y) \ x) / L(y \ 1,y,x) = 1. (x * y) \ ((x \ (x * y)) * x) = K(y,x). K(x,y) = (y * x) \ ((y \ (y * x)) * y). x \ (y * T(y \ x,y)) = K(y \ x,y). K(x \ 1,x) \ 1 = K(x,x \ 1). K(x,1 / x) \ 1 = K(1 / x,x). L(x \ T(y,z),x,z) = (z * x) \ (y * z). T(x,y) * z != z * u | T(T(x,z),y) = u. x * T(x \ (y * x),z) = T(y,z) * x. x * T(x \ y,z) = T(y / x,z) * x. T(x / y,z) * y = y * T(y \ x,z). x * T(y,z) = T((x * y) / x,z) * x. T((x * y) / x,z) * x = x * T(y,z). (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). (x / y) * T(y,z) = T(x / (x / y),z) * (x / y). T(x / (x / y),z) * (x / y) = (x / y) * T(y,z). (x * T(x \ y,z)) / x = T(y / x,z). x * T(x \ y,z) != u | T(y / x,z) * x = u. (x * T(y,z)) / x = T((x * y) / x,z). T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). (x \ y) * x != y * z | K(x \ y,x) = z. L(K(x \ y,x),y,z) = (z * y) \ (z * ((x \ y) * x)). (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). x \ ((y \ x) * y) != z | z = K(y \ x,y). x \ ((y \ x) * y) != z | K(y \ x,y) = z. x \ (y * (x / y)) != z | z = K(y,x / y). x \ (y * (x / y)) != z | K(y,x / y) = z. (x * y) * L(z,y,x) != x * u | u = y * z. (x * y) * L(z,y,x) != x * u | y * z = u. x \ (x * y) != z * u | z = y / u. x \ (x * y) != z * u | y / u = z. x * y != z * (u * (u \ w)) | (z * w) / y = x. (x * y) / L(z \ y,z,x) = x * z. x * ((x \ y) * z) = y * L(z,x \ y,x). x * L(y,z \ x,z) = z * ((z \ x) * y). (x / y) * (y * z) = x * L(z,y,x / y). x * L(y,z,x / z) = (x / z) * (z * y). x * (y * z) != (x * y) * u | L(z,y,x) = u. (x * y) * z != x * (y * u) | L(u,y,x) = z. L(L(x,y,z),z * y,u) = (u * (z * y)) \ (u * (z * (y * x))). (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). (x * y) \ (x * (y * z)) != u | u = L(z,y,x). (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). (1 / x) * (x * y) != z | L(y,x,1 / x) = z. x != y \ (z * y) | x = T(z,y). L(x \ (y * x),x,y) = T(y,y * x). L(x \ y,x,1 / x) = (1 / x) * y. x != (y * (y \ 1)) \ z | x = z. L((x \ 1) \ y,x \ 1,x) = x * y. x != y \ (z * (y / z)) | x = K(z,y / z). L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). L((x \ y) \ z,x \ y,x) = y \ (x * z). L(x \ y,x,z / x) = z \ ((z / x) * y). L(T(x \ y,z),x,u) = T((u * x) \ (u * y),z). T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). x / L(y \ z,y,x / z) = (x / z) * y. L((x \ 1) \ y,x \ 1,x) != z | z = x * y. L((x \ 1) \ y,x \ 1,x) != z | x * y = z. L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). x * y != ((z / u) * u) * (z \ w) | x \ w = y. R(x / y,y,x \ z) \ z = y * (x \ z). x * y != (z * (z \ u)) * w | x \ (u * w) = y. R(x,x \ y,z) \ (y * z) = (x \ y) * z. x * y != ((z / u) * u) * w | x \ (z * w) = y. R(x / y,y,z) \ (x * z) = y * z. (x * y) * z != u * (y * z) | R(x,y,z) = u. R(R(x,y,z),y * z,u) = (((x * y) * z) * u) / ((y * z) * u). (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. ((x * y) * z) / (y * z) != u | u = R(x,y,z). ((x * y) * z) / (y * z) != u | R(x,y,z) = u. (x * y) * (y \ 1) != z | z = R(x,y,y \ 1). (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). x != y / ((1 / z) * z) | x = y. R(x / (1 / y),1 / y,y) = x * y. R(x / y,y,y \ 1) = x * (y \ 1). R(x / y,y,y \ z) = (x * (y \ z)) / z. R(x / (y / z),y / z,z) = (x * z) / y. R(T(x / y,z),y,u) = T((x * u) / (y * u),z). T((x * y) / (z * y),u) = R(T(x / z,u),z,y). T(R(x / y,y,z),y * z) = (y * z) \ (x * z). R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). R(x / (1 / y),1 / y,y) != z | z = x * y. R(x / (1 / y),1 / y,y) != z | x * y = z. (x * y) / L(z,y / z,x) = x * (y / z). (x * (y * z)) / L(T(y,z),z,x) = x * z. (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. L(x,1 / x,x) = K(x,1 / x) \ x. K(x,1 / x) \ x = L(x,1 / x,x). x * y != L(L(z,u,w),v5,v6) | x \ L(L(z,v5,v6),u,w) = y. x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). x * y != L(R(z,u,w),v5,v6) | x \ R(L(z,v5,v6),u,w) = y. x \ R(L(y,x \ 1,x),z,u) = (x \ 1) * R(y,z,u). x * y != L(T(z,u),w,v5) | x \ T(L(z,w,v5),u) = y. x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). x * (y * (x \ 1)) = L(T(y,x \ 1),x \ 1,x). L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). (1 / x) * (y * x) = L(T(y,x),x,1 / x). L(T(x,y),y,1 / y) = (1 / y) * (x * y). (1 / x) \ L(y,x,1 / x) != z | z = x * y. (1 / x) \ L(y,x,1 / x) != z | x * y = z. x * y != R(L(z,u,w),v5,v6) | L(R(z,v5,v6),u,w) / y = x. L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. x * y != (z * u) * (u \ 1) | x \ R(z,u,u \ 1) = y. (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). x * y != R(R(z,u,w),v5,v6) | R(R(z,v5,v6),u,w) / y = x. R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). K(x,1 / x) * x = R(x,1 / x,x). L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). R((x * y) \ z,u,w) = L(R(y \ (x \ z),u,w),y,x). L(R(x \ (y \ z),u,w),x,y) = R((y * x) \ z,u,w). L((x * y) \ z,u,w) = L(L(y \ (x \ z),u,w),y,x). L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). x * (y * (y \ z)) != u * w | (x * z) / w = u. (x * (x \ y)) * z != u | y * z = u. (((x * y) / z) * z) / y != u * w | x / w = u. L(T(x \ 1,y),x,z / x) = T(z \ (z / x),y). T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). R(T(1 / x,y),x,x \ z) = T((x \ z) / z,y). T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). x * (y * (y \ (x \ z))) != u * w | u \ z = w. x * (y * (y \ z)) != u * w | u \ (x * z) = w. (((x / y) / z) * z) * y != u * w | x / w = u. ((x / y) * y) * z != u * w | (x * z) / w = u. x * ((x \ 1) * y) != z | z = L(y,x \ 1,x). x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. L(T(x,y),y,x) = T(x,x * y). x != L(T(y,z),u,w) | x = T(L(y,u,w),z). T(x,x * y) = T(L(x,y,x),y). T(L(x,y,x),y) = T(x,x * y). L(T(T(x,y),z),y,x) = T(T(x,x * y),z). R(T(x,x * y),z,u) = L(R(T(x,y),z,u),y,x). L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). L(T(x,x * y),z,u) = L(L(T(x,y),z,u),y,x). L(L(T(x,y),z,u),y,x) = L(T(x,x * y),z,u). x * T(y,y * x) = L(y,x,y) * x. (x * T(y,y * x)) / x = L(y,x,y). L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). R((1 / x) * y,z,u) = L(R(x \ y,z,u),x,1 / x). L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). R(x * (y \ 1),z,u) = R(R(x / y,z,u),y,y \ 1). R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). K(x,1 / x) * L(x,1 / x,x) = x. (x \ y) * T(x,y) = L(x,x \ y,x) * (x \ y). L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). ((x \ y) * T(x,y)) / (x \ y) = L(x,x \ y,x). x != K(x,1 / x) * y | L(x,1 / x,x) = y. K(x,1 / x) * y != x | L(x,1 / x,x) = y. ((x / y) \ x) * z != u | T(u / y,(x / y) \ x) = z. T(x / y,(z / y) \ z) = y \ x. x != (y * z) * L(u,z,y) | x = y * (z * u). L(x,y,z) * (z * y) = z * (y * T(x,z * y)). x * (y * T(z,x * y)) = L(z,y,x) * (x * y). x * y != z * L(T(u,z),w,v5) | x \ (L(u,w,v5) * z) = y. x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. x * L(x \ y,z,u) = L(y / x,z,u) * x. L(x / y,z,u) * y = y * L(y \ x,z,u). x * L(y,z,u) = L((x * y) / x,z,u) * x. L((x * y) / x,z,u) * x = x * L(y,z,u). (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). x != R(y,z,u) * (z * u) | x = (y * z) * u. (x * y) * R(T(z,x * y),x,y) = (z * x) * y. x * y != R(z,u,w) * (u * w) | x \ ((z * u) * w) = y. (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). x * R(x \ y,z,u) = R(y / x,z,u) * x. R(x / y,z,u) * y = y * R(y \ x,z,u). x * R(y,z,u) = R((x * y) / x,z,u) * x. R((x * y) / x,z,u) * x = x * R(y,z,u). (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). (x / y) * R(y,z,u) = R(x / (x / y),z,u) * (x / y). R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). (x * L(x \ y,z,u)) / x = L(y / x,z,u). (x * R(x \ y,z,u)) / x = R(y / x,z,u). T(x / (y * x),y) = R(y \ 1,y,x). T((x * y) / (z * y),z) = R(z \ x,z,y). T(x / (y * z),y) = R(y \ (x / z),y,z). R(x \ (y / z),x,z) = T(y / (x * z),x). T((x \ y) / y,x) = R(x \ 1,x,x \ y). T(x / y,y / x) = R((y / x) \ 1,y / x,x). R((x / y) \ 1,x / y,y) = T(y / x,x / y). x * R(x \ 1,x,y) = (y / (x * y)) * x. (x / (y * x)) * y = y * R(y \ 1,y,x). x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. x * T(y,y \ z) = ((y \ z) \ z) * T(x,T(y,y \ z)). ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). K(x,(y \ z) \ z) = (T(y,y \ z) * x) \ (x * ((y \ z) \ z)). (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). L(x,y,(z \ u) \ u) = (T(z,z \ u) * y) \ (((z \ u) \ u) * (y * x)). (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). x / ((y \ z) \ z) = x / T(y,y \ z). x / T(y,y \ z) = x / ((y \ z) \ z). x * y != z * ((u \ w) \ w) | (z * T(u,u \ w)) / y = x. (x * T(y,y \ z)) / ((y \ z) \ z) = x. x \ (x / y) != z | L(y \ 1,y,x / y) = z. K(x \ 1,x) \ (x \ 1) != y | L(x \ 1,x,x \ 1) = y. (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). x != y \ ((z \ y) * z) | x = K(z \ y,z). K(x,y) = K(y \ (y * x),y). K(x \ (x * y),x) = K(y,x). K(x,y) = K(z \ (z * x),y). K(x \ (x * y),z) = K(y,z). K((x / y) \ x,z) = K(y,z). x * y != y * T(z,z * y) | x = L(z,y,z). T((x * y) / x,y * x) = L(y,x,y). x != T(y,y \ z) * u | x = ((y \ z) \ z) * u. x * T(y,((x * y) / x) \ z) = ((((x * y) / x) \ z) \ z) * x. ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). (x * T(y,z)) / x != u | u = T((x * y) / x,z). (x * T(y,z)) / x != u | T((x * y) / x,z) = u. (x * y) * L(x,y,x) = ((y * x) / y) * (x * y). ((x * y) / x) * (y * x) = (y * x) * L(y,x,y). T(x / y,z) * y != u | u = y * T(y \ x,z). T(x / y,z) * y != u | y * T(y \ x,z) = u. x * ((y * T(z,x)) / y) = ((y * z) / y) * x. (x * (y \ z)) / x = T((x * (z / y)) / x,y). T((x * (y / z)) / x,z) = (x * (z \ y)) / x. T((x * y) / x,z) * x != u | u = x * T(y,z). T((x * y) / x,z) * x != u | x * T(y,z) = u. (x * (y * z)) \ ((x * y) * z) != u | u = a(x,y,z). (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. x \ ((x / y) * (z * y)) = L(T(z,y),y,x / y). L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. x \ (K(x,1 / x) * x) = a(x,1 / x,x). x \ R(x,1 / y,y) = a(x,1 / y,y). x * ((y * x) \ (y * (z * x))) = L(z,x,y) * x. T(R(x,y,K(y,x)),z) * (y * K(y,x)) = (y * K(y,x)) * T((y * K(y,x)) \ (y * x),z). (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). L(R(x,y / z,z),u,w) * y = (L(x,u,w) * (y / z)) * z. L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). T(x / (y * x),z) * (y * x) = (T(1 / y,z) * y) * x. x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. x * T(x \ (y * x),z) != u | T(y,z) * x = u. x != T(y / z,z) | x = z \ y. L(T(x \ 1,x),x,1 / x) = x \ 1. x * y != L(T(z \ 1,u),z,1 / z) | x \ T(1 / z,u) = y. (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). T(x,(y * z) \ y) = L(z \ 1,z,y) \ (x * ((y * z) \ y)). L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). x * y != R(T(1 / z,u),z,z \ 1) | T(z \ 1,u) / y = x. T(x \ 1,y) / (x \ 1) = T(1 / x,y) * x. x != (y * z) \ (z * y) | x = K(z,y). L(x \ T(x,y),x,y) = K(x,y). K(x,y) = L(x \ T(x,y),x,y). L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z). x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). x \ (y * ((y \ x) * z)) != u | u = L(z,y \ x,y). x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. x * y != z * (u * (u \ x)) | T(z,x) = y. T(x / y,x) = L(y \ x,y,x / y). L(x \ y,x,y / x) = T(y / x,y). L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). T(R(x / y,y,y \ z),z) = z \ (x * (y \ z)). R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). R((x * y) / z,u,w) = R(R(x / (z / y),u,w),z / y,y). R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). (x * y) \ (x * (z * y)) != u | u = L(T(z,y),y,x). (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. x != L(T(y \ 1,y),y,1 / y) | x = y \ 1. (1 / x) * ((x \ 1) * x) = x \ 1. x * y != L(T(z \ 1,z),z,1 / z) | x \ (z \ 1) = y. (1 / x) \ (x \ 1) = (x \ 1) * x. x * ((1 / x) * (y * x)) = L(y,x,1 / x) * x. (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. (1 / x) * K(x \ 1,x) = x \ 1. x != (y \ 1) * y | x = K(y \ 1,y). (1 / x) \ (x \ 1) = K(x \ 1,x). x * y != (1 / z) * K(z \ 1,z) | x \ (z \ 1) = y. x \ ((x \ 1) \ 1) = K((x \ 1) \ 1,x \ 1). K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1). L(x,K(y \ 1,y),1 / y) = (y \ 1) \ ((1 / y) * (K(y \ 1,y) * x)). (x \ 1) \ ((1 / x) * (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). K(x \ 1,x) * y != x \ 1 | T(1 / x,K(x \ 1,x)) = y. (x \ 1) * L(y,K(x \ 1,x),1 / x) = (1 / x) * (K(x \ 1,x) * y). (x * (y \ 1)) / L(K(y \ 1,y),1 / y,x) = x * (1 / y). x / L(K(y \ 1,y),1 / y,x / (y \ 1)) = (x / (y \ 1)) * (1 / y). (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). T(((x * y) * z) / (x * z),x) = R(y,x,z). R(x,y,z) = T(((y * x) * z) / (y * z),y). T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. T((x \ y) / y,x) * y = ((x \ 1) * x) * (x \ y). (x / y) * (y / x) = (y / x) * R((y / x) \ 1,y / x,x). (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). R(x \ 1,x,y) \ ((y / (x * y)) * x) != z | T(x,R(x \ 1,x,y)) = z. (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. T(K(x,1 / x),x) = a(x,1 / x,x). x * R(y,x,z) = (((x * y) * z) / (x * z)) * x. (((x * y) * z) / (x * z)) * x = x * R(y,x,z). R(x,1 / y,y) = T(((1 / y) * x) * y,1 / y). T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). T(R(x,y,x),y * x) = T(x,y). R(x,y,x) * (y * x) = (y * x) * T(x,y). x != T(R(y,z,u),w) | x = R(T(y,w),z,u). T(x,y) = R(T(x,y * x),y,x). R(T(x,y * x),y,x) = T(x,y). R(T(x,y),y / x,x) = T(x,y / x). x * R(T(y,x * y),x,y) = y * x. T(x,y) * (y * x) = (T(x,y * x) * y) * x. (T(x,y * x) * y) * x = T(x,y) * (y * x). R(x,1 / x,x) = T(x,1 / x). x * y != R(z,1 / z,z) | T(z,1 / z) / y = x. T(x,1 / x) / x = K(x,1 / x). R(T(x,1 / x),y,z) = R(R(x,y,z),1 / x,x). R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). x \ T(x,1 / x) = a(x,1 / x,x). (x * y) * T(y,x) = (y * x) * y. x * y != (z * (z \ 1)) * u | x \ u = y. ((x \ 1) * x) \ x = T(x,x \ 1). K(x \ 1,x) \ x = T(x,x \ 1). x != T(y,y \ z) | x = (y \ z) \ z. K(x \ 1,x) \ x = (x \ 1) \ 1. K(x \ 1,x) * ((x \ 1) \ 1) = x. K(x,1 / x) \ (1 / x) = ((1 / x) \ 1) \ 1. T(T(R(x,y,z),u),w) = R(T(T(x,w),u),y,z). R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. x / (y * z) != u | R((x / z) / y,y,z) = u. x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. x != y * L(z \ 1,z,u) | x = y * ((u * z) \ u). L(1 / x,x,y) * x = x * ((y * x) \ y). x * y != z * L(u \ 1,u,w) | (z * ((w * u) \ w)) / y = x. (x * ((y * x) \ y)) / x = L(1 / x,x,y). L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). (x * L(y,z,u)) / x = L((x * y) / x,z,u). L((x * y) / x,z,u) = (x * L(y,z,u)) / x. (x * ((y * z) \ y)) / x = L((x * (z \ 1)) / x,z,y). L((x * (y \ 1)) / x,y,z) = (x * ((z * y) \ z)) / x. (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). R(R(x,y,K(y,x)),z,u) * (y * K(y,x)) = (y * K(y,x)) * R((y * K(y,x)) \ (y * x),z,u). (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). (x * R(y,z,u)) / x = R((x * y) / x,z,u). R((x * y) / x,z,u) = (x * R(y,z,u)) / x. x * y != R((z * u) / z,w,v5) * z | (z * R(u,w,v5)) / y = x. (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. L(x / y,z,u) * y != w | w = y * L(y \ x,z,u). L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. (x * ((y * x) \ z)) / x = L((y \ z) / x,x,y). L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. (x * K(x,y)) / x = L(T(x,y) / x,x,y). L(T(x,y) / x,x,y) = (x * K(x,y)) / x. ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). R(x / y,z,u) * y != w | w = y * R(y \ x,z,u). R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. x * ((y * (x \ z)) / y) = ((y * (z / x)) / y) * x. ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. x != T(y / z,u) * z | x = z * T(z \ y,u). T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). x != (y / z) \ y | x = z. (1 / (1 / x)) * (x * (1 / x)) = x. (1 / (1 / x)) * K(x,1 / x) = x. K(x,1 / x) \ (1 / x) = x \ 1. K(x,1 / x) * (x \ 1) = 1 / x. R(T(x \ y,z),u,w) = T(T(R(y / x,u,w),z),x). T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). L((x * y) / x,z,u) * x != w | w = x * L(y,z,u). L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. x != (y * T(z,u)) / y | x = T((y * z) / y,u). R(x,y,T(x,y)) = T(((x * y) * x) / (x * y),y). T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). T(R(x,y,T(x,y)),x * y) = T(x,y). T(x,y) = R(T(x,x * y),y,T(x,y)). R(T(x,x * y),y,T(x,y)) = T(x,y). (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). L(1 / x,x,y) = L((y * x) \ y,x,1 / x). L((x * y) \ x,y,1 / y) = L(1 / y,y,x). (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). R(x / (y * x),z,u) * (y * x) = (R(1 / y,z,u) * y) * x. (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). (x * y) * T(K(y,x),z) = x * (y * T(y \ T(y,x),z)). x * (y * T(y \ T(y,x),z)) = (x * y) * T(K(y,x),z). (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). (x * y) * L((y * T(x,y)) \ y,z,u) = y * (T(x,y) * L(T(x,y) \ 1,z,u)). T((x * y) \ (y * z),u) = L(T(T(x,y) \ z,u),T(x,y),y). L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. R((x * y) \ (y * z),u,w) = L(R(T(x,y) \ z,u,w),T(x,y),y). L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). L((x * y) \ (y * z),u,w) = L(L(T(x,y) \ z,u,w),T(x,y),y). L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). T(x / (y * z),u) * (y * z) = (T((x / z) / y,u) * y) * z. (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). T(x,y) * (x * y) = (T(x,x * y) * y) * T(x,y). (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). R(T((x * y) / x,z),x,y) * (x * y) = (x * y) * T(y,z). (x * y) * ((z * ((x * y) \ (u * y))) / z) = ((z * R(u / x,x,y)) / z) * (x * y). ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). x \ T(x * y,z) = (x \ 1) * T((x \ 1) \ y,z). (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. x * T(x \ (x / y),z) = (x / y) * (y * T(y \ 1,z)). (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). x != L(T(y,z),z,1 / z) | x = (1 / z) * (y * z). T((1 / x) * y,x) = (1 / x) * ((x \ y) * x). (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). x * y != L(T(z \ u,w),z,1 / z) | x \ T((1 / z) * u,w) = y. (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). (1 / x) * (y * x) = T((1 / x) * (x * y),x). T((1 / x) * (x * y),x) = (1 / x) * (y * x). x != L(T(y,z \ 1),z \ 1,z) | x = z * (y * (z \ 1)). T(x * y,x \ 1) = x * (((x \ 1) \ y) * (x \ 1)). x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). x * y != R(T(z / (1 / u),w),1 / u,u) | T(z * u,w) / y = x. T(x * y,z) / y = T(x / (1 / y),z) * (1 / y). T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. x * y != R(T(z / u,w),u,u \ 1) | T(z * (u \ 1),w) / y = x. T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). x * (y * T(y \ 1,x * y)) = ((x * y) \ x) * (x * y). ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). T(x / y,y / x) * y = (((y / x) \ 1) * (y / x)) * x. x * y != y * L(z,u,w) | x = L((y * z) / y,u,w). (x * y) / x = L(((y * x) * y) / (y * x),x,y). L(((x * y) * x) / (x * y),y,x) = (y * x) / y. T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. T(x / (x / y),z) * (x / y) != u | (x / y) * T(y,z) = u. x != L(T(y \ 1,z),y,u / y) | x = T(u \ (u / y),z). x \ ((x / y) * ((y \ 1) * y)) = T(x \ (x / y),y). x \ ((y \ x) * y) = (x \ y) * T((x \ y) \ 1,y). (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). x \ (y * (z \ x)) = R(T(y / z,x),z,z \ x). R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). x * y != y * R(T(z,y * z),y,z) | x = z. ((x * T(y,x * y)) * y) / (x * y) = y. x * (y * x) = (y * T(x,y * x)) * x. (x * T(y,x * y)) * y = y * (x * y). (x * (y * x)) / x = y * T(x,y * x). x * y != x * (z * x) | T(z * T(x,z * x),x) = y. T(x * T(y,x * y),y) = x * y. x != (y / z) * z | x = y. T((x / y) * T(y,(x / y) * y),y) = x. x \ ((y * (x * y)) / y) != z | z = T(y,x * y). x \ ((y * (x * y)) / y) != z | T(y,x * y) = z. T((x / y) * T(y,x),y) = x. T(x * T(x \ y,y),x \ y) = y. (x * y) / x = (y / x) * T(x,y). (x / y) * T(y,x) = (y * x) / y. ((x \ y) * y) / (x \ y) = x * T(x \ y,y). T(x,y) * z != (x * y) / x | T(y / x,T(x,y)) = z. T(x / y,T(y,x)) = T(y,x) \ ((y * x) / y). T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). x * y != (z / u) * T(u,z) | ((u * z) / u) / y = x. ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z. (x * y) * T(L(y \ 1,y,x),x) = (L(y \ 1,y,x) * x) / L(y \ 1,y,x). (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). (x * (1 / y)) * T(L(y,1 / y,x),x) = (L(y,1 / y,x) * x) / L(y,1 / y,x). (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). T(x,y * T(y \ x,x)) = x. T(x,(x * y) * L(T(y \ 1,x),y,x)) = x. T(x,x * (y * T(y \ 1,x))) = x. L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. L(((x * y) * x) / (x * y),y,x) * y = y * x. (x \ (y * (z \ x))) * x = (T(y / z,x) * z) * (z \ x). x * y != L(z,x,u) * x | y = (u * x) \ (u * (z * x)). x = (x * y) \ (x * ((((x * y) * x) / (x * y)) * y)). (x * y) \ (x * ((((x * y) * x) / (x * y)) * y)) = x. x * y != z * T(u,u \ w) | (z * ((u \ w) \ w)) / y = x. ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). K((x * y) \ 1,x * y) \ ((((x * y) \ 1) * x) * y) != z | a((x * y) \ 1,x,y) = z. x * T(x \ (y \ x),y) = ((y \ 1) * y) * (y \ x). ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). x != y * z | x = R(y,z,z \ 1) / (z \ 1). x * ((y * (x \ z)) / y) = R((y * (z / x)) / y,x,x \ 1) / (x \ 1). R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). ((x * (y / z)) / x) * z != u | u = z * ((x * (z \ y)) / x). ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. T((x * y) \ (z * y),x) = R(T(x \ z,x * y),x,y). R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). T(x,y) * z != T(x,y) * (x * y) | T(T(x,x * y) * y,T(x,y)) = z. T(T(x,x * y) * y,T(x,y)) = x * y. (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). T(1 / (x \ 1),y) * (x \ 1) = x \ T(x,y). x != (y \ z) * T((y \ z) \ z,u) | x = T(y,u) * (y \ z). x \ T(x,y) = T(x,y) * (x \ 1). T(x,y) * (x \ 1) = x \ T(x,y). (x \ y) * ((y / x) \ 1) = (y / x) \ T(y / x,x). (x / y) \ T(x / y,y) = (y \ x) * ((x / y) \ 1). (1 / x) \ T(y,z) = x * T(x \ ((1 / x) \ y),z). x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. x * y != T(z / (1 / u),w) * (1 / u) | x \ (T(z * u,w) / u) = y. (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. ((1 / x) \ y) * (1 / x) = T(y * x,1 / x) / x. T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. x != T(y / (y / z),u) * (y / z) | x = (y / z) * T(z,u). T(x,y) / x = (1 / x) * T(x,y). (1 / x) * T(x,y) = T(x,y) / x. x * y != T(1 / (1 / z),u) * (1 / z) | (T(z,u) / z) / y = x. (T(x,y) / x) / T(x,y) = 1 / x. x * y != T(1 / (1 / z),u) * (1 / z) | x \ (T(z,u) / z) = y. (1 / x) \ (T(x,y) / x) = T(x,y). T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. T(x,y) * z != T(x,y) / x | T(1 / x,T(x,y)) = z. T(1 / x,T(x,y)) = T(x,y) \ (T(x,y) / x). T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). x != y * T(z,z \ u) | x = y * ((z \ u) \ u). T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). (1 / (x / y)) * (y \ x) = T(x / y,y) / (x / y). T(x / y,y) / (x / y) = (1 / (x / y)) * (y \ x). T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). ((x \ y) \ y) / x = (1 / x) * ((x \ y) \ y). (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). x * T(x \ (x / y),y) = (x / y) * ((y \ 1) * y). (x / y) * ((y \ 1) * y) = x * T(x \ (x / y),y). x != (y * z) \ ((y \ (y * z)) * y) | x = K(z,y). ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = K(y,x). K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). x * y != (z * u) \ ((z \ (z * u)) * z) | x \ K(u,z) = y. ((x * y) \ x) \ K(y,x) = T(((x * y) \ x) \ 1,x). T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). (x * y) * x = x * ((((x * y) * x) / (x * y)) * y). x * ((((x * y) * x) / (x * y)) * y) = (x * y) * x. K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). (x \ 1) * T((x \ 1) \ y,z) != u | u = x \ T(x * y,z). (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. x * y != (z \ 1) * T((z \ 1) \ (z \ u),w) | (z \ T(u,w)) / y = x. (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). (x / y) \ (y \ x) = (y \ x) * ((x / y) \ 1). (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). x * (((y * x) / y) \ 1) = ((y * x) / y) \ (y \ (y * x)). ((x * y) / x) \ (x \ (x * y)) = y * (((x * y) / x) \ 1). ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). (1 / x) * T((1 / x) \ y,z) != u | u = T(y * x,z) / x. (1 / x) * T((1 / x) \ y,z) != u | T(y * x,z) / x = u. T(x,1 / y) / y = ((1 / y) \ (x / y)) * (1 / y). ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. (x \ y) / (y / x) = (1 / (y / x)) * (x \ y). (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). (x \ y) * z != (x \ y) / (y / x) | T(1 / (y / x),x \ y) = z. T(1 / (x / y),y \ x) = (y \ x) \ ((y \ x) / (x / y)). (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). (1 / (x / (x / y))) * y = ((x / y) \ x) / (x / (x / y)). ((x / y) \ x) / (x / (x / y)) = (1 / (x / (x / y))) * y. x != (y \ 1) * T((y \ 1) \ z,u) | x = y \ T(y * z,u). T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). T(x,x * K(y,x)) = x. T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). T(x * y,x) = (((x * y) * x) / (x * y)) * y. (((x * y) * x) / (x * y)) * y = T(x * y,x). T(x * y,x) / y = ((x * y) * x) / (x * y). ((x * y) * x) / (x * y) = T(x * y,x) / y. T(T(x * y,x) / y,x * y) = x. T(T(x * y,x) / y,y) = R(x,y,T(x,y)). T(T(x,x / y) / y,(x / y) * y) = x / y. T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. R(x,y,T(x,y)) = y \ T(x * y,x). x \ T(y * x,y) = R(y,x,T(y,x)). x * R(y,x,T(y,x)) = T(y * x,y). T(T(x,x / y) / y,x) = x / y. (x * (x / y)) / x = T(x,x / y) / y. T(x,x / y) / y = (x * (x / y)) / x. T(x / y,y) = T(y \ T(x,x / y),x). T(x \ T(y,y / x),y) = T(y / x,x). ((x * (x / y)) / x) * y = T(x,x / y). ((x * (x / y)) / x) * y != z | z = T(x,x / y). ((x * (x / y)) / x) * y != z | T(x,x / y) = z. T(x \ T(y,y / x),y) = x \ y. T((x \ y) \ T(y,x),y) = (x \ y) \ y. (x * (y \ x)) / x = y \ T(x,x / y). x \ T(y,y / x) = (y * (x \ y)) / y. x != ((y * (z / u)) / y) * u | x = u * ((y * (u \ z)) / y). T(x,x / y) = y * ((x * (y \ x)) / x). x * ((y * (x \ y)) / y) = T(y,y / x). x * ((y * (x \ y)) / y) != z | z = T(y,y / x). x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. (x / y) * ((x * y) / x) = T(x,x / (x / y)). (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). (x / T(y,x)) * y = T(x,x / (x / T(y,x))). T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. (T(x,1 / y) / y) \ (x / y) = K(1 / y,(1 / y) \ (x / y)). K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). x != y * (z * (z \ u)) | x = y * u. K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. L(x / (y * x),z,u) * (y * x) = (L(1 / y,z,u) * y) * x. L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. L(x / (y * z),u,w) * (y * z) = (L((x / z) / y,u,w) * y) * z. (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. x \ L(x * y,z,u) = (x \ 1) * L((x \ 1) \ y,z,u). (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). x \ R(x * y,z,u) = (x \ 1) * R((x \ 1) \ y,z,u). (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). L(x \ 1,y,z) / (x \ 1) = L(1 / x,y,z) * x. L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. x != L(1 / y,y,z) * y | x = y * ((z * y) \ z). L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. ((x * y) \ x) / (y \ 1) = y * ((x * y) \ x). (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). K(x \ 1,x * ((y * x) \ y)) = L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))). L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. R(x / 1,y,z) / x = R(1 / (1 / x),y,z) * (1 / x). R(1 / (1 / x),y,z) * (1 / x) = R(x / 1,y,z) / x. L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). T(L(x,y,z),1 / x) / x = L(x,y,z) * (1 / x). x * (1 / y) != T(z,1 / y) / y | x = (1 / y) \ (z / y). L(x,y,z) = (1 / x) \ (L(x,y,z) / x). (1 / x) \ (L(x,y,z) / x) = L(x,y,z). (1 / x) * L(x,y,z) = L(x,y,z) / x. (L(x,y,z) / x) / L(x,y,z) = 1 / x. L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). x * T(x \ (y * z),u) = y * ((y \ x) * T((y \ x) \ z,u)). x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). T((x * y) / z,u) * z = (T(x / (z / y),u) * (z / y)) * y. (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). (x * y) * ((z * ((x * y) \ x)) / z) != u | x * (y * ((z * (y \ 1)) / z)) = u. (x * y) * L((x * (y \ 1)) / x,y,x) = T(x,x / (x * y)). (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. R(T(x,y * z),y,z) = T((y * z) \ ((y * x) * z),y). T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y) = K(x,y). K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). x * (y * ((x \ y) / y)) = T(y,y / (x * y)). (x \ 1) * y != K(x \ 1,x) * z | L(x \ y,x,x \ 1) = z. K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. x * y != R(z,u,w) * x | y = R(T(z,x),u,w). R((x \ y) \ y,z,u) = R(T(x,x \ y),z,u). R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). (x * y) * T((x * y) \ y,z) = (T(1 / x,z) * x) * y. T(x,y) * (x * z) = x * (z * T(T(x,z),y)). x * (y * T(T(x,y),z)) = T(x,z) * (x * y). x * (T(x,y) * z) = T(x,y) * (x * z). T(x,y) * (x * z) = x * (T(x,y) * z). x \ (T(x,y) * z) = T(x,y) * (x \ z). x \ y = T(x,z) * (x \ (T(x,z) \ y)). T(x,y) * (x \ (T(x,y) \ z)) = x \ z. (T(x,y) * z) / (T(x,y) * (x \ z)) = x. T(x,y) * z = x * (T(x,y) * (x \ z)). x * (T(x,y) * (x \ z)) = T(x,y) * z. T(x,y) * (x * (T(x,y) \ z)) = x * z. (x * y) * z != x * (T(x,u) * y) | T(T(x,u),x * y) = z. T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). x * y != z * (u * (u \ w)) | x \ (z * w) = y. T(x,y) \ (x * z) = x * (T(x,y) \ z). x * y != z * (u * (u \ (z \ w))) | x \ w = y. T(x,y) \ z = x * (T(x,y) \ (x \ z)). x * (T(x,y) \ (x \ z)) = T(x,y) \ z. x * y != z * (u * (u \ 1)) | x \ z = y. T(x,y) \ x = x * (T(x,y) \ 1). x * (T(x,y) \ 1) = T(x,y) \ x. T(x / y,z) * x = (x / y) * (T(x / y,z) * y). (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. T(x,y) * (z * x) = x * (T(x,y) * T(z,x)). x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). (x \ y) * ((y / x) * z) = (y / x) * (T(y / x,x) * z). (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). (T(x,y) \ 1) * z != T(x,y) \ x | T(x,T(x,y) \ 1) = z. T(x,T(x,y) \ 1) = (T(x,y) \ 1) \ (T(x,y) \ x). (T(x,y) \ 1) \ (T(x,y) \ x) = T(x,T(x,y) \ 1). (T(x,y) \ x) / (T(x,y) \ 1) = x. x \ (T(x,y) \ x) = T(x,y) \ 1. (x / y) * ((y \ x) \ 1) = T(x / y,y) \ (x / y). T(x / y,y) \ (x / y) = (x / y) * ((y \ x) \ 1). x \ (T(x,y) \ x) != z | z = T(x,y) \ 1. x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z. (1 / x) * (T(x,y) \ x) = L(T(x,y) \ 1,x,1 / x). L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). T(x,y) \ (x \ z) = x \ (T(x,y) \ z). x * y != T(x,z) * u | y = T(x,z) * (x \ u). T(x,z) * u != x * y | y = T(x,z) * (x \ u). T(x,y) * z != x * u | T(x,y) * (x \ z) = u. T(x,T(y,x)) = y * (T(y,x) \ x). x * (T(x,y) \ y) = T(y,T(x,y)). x * y != z * ((z \ x) * u) | y = L(u,z \ x,z). x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). x * y != z * (x / z) | y = K(z,x / z). x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). T(x,y) \ (x * z) != u | u = x * (T(x,y) \ z). T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). T(x,x \ y) \ (x * z) = x * (((x \ y) \ y) \ z). x * (T(x,y) \ (x \ z)) != u | u = T(x,y) \ z. x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. x * y != T(x,z) * (z * x) | T(T(x,z * x) * z,x) = y. T(T(x,y * x) * y,x) = T(x,y) * T(y,x). T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). (x / y) * ((y \ x) \ y) = T(y,y \ x). ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). ((x * y) / x) * (y \ x) = T(x,y). T(x,y) = ((x * y) / x) * (y \ x). x * y != ((z * u) / z) * (u \ z) | T(z,u) / y = x. T(x,y) / (y \ x) = (x * y) / x. x * y != ((z * u) / z) * (u \ z) | x \ T(z,u) = y. ((x * y) / x) \ T(x,y) = y \ x. T(x / y,y) = (x / (x / y)) * (y \ (x / y)). (x / (x / y)) * (y \ (x / y)) = T(x / y,y). T(x,R(1 / y,y,x)) = ((x * R(1 / y,y,x)) / x) * (y * x). ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). T(x,R(y,y \ 1,x)) = ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x). ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). x * y != T((z * u) / z,z) | u / y = x. x / (y \ ((y * x) / y)) = (y * x) / ((y * x) / y). (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. (x \ y) \ (y / x) = (y / x) * ((x \ y) \ 1). (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). x != (1 / y) * ((y \ z) \ z) | x = ((y \ z) \ z) / y. (x \ 1) \ (1 / x) = ((x \ 1) \ 1) / x. ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). ((x * y) / x) * (y \ 1) = (x \ (x * y)) \ ((x * y) / x). (x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1). (x / (x / y)) * (y \ 1) = ((x / y) \ x) \ (x / (x / y)). ((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1). x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). x * T(x \ (y \ x),z) = (T(1 / y,z) * y) * (y \ x). (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). K((x * y) \ x,x * y) = y * T(y \ 1,x * y). x * y != z * T(z \ 1,u * z) | K((u * z) \ u,u * z) / y = x. K((x * y) \ x,x * y) / y = T(1 / y,x * y). x * T(x \ y,x / y) = (((x / y) \ 1) * (x / y)) * y. (((x / y) \ 1) * (x / y)) * y = x * T(x \ y,x / y). (x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x). ((x * y) / x) \ y = y * (((x * y) / x) \ 1). x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. T(x,y) * (T(z / (z / x),y) \ 1) = (((z / x) * T(x,y)) / (z / x)) \ T(x,y). (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). x / (y / (y / x)) = (1 / (y / (y / x))) * x. (1 / (x / (x / y))) * y = y / (x / (x / y)). (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). x != (y \ z) * L((y \ z) \ z,u,w) | x = L(y,u,w) * (y \ z). x \ L(x,y,z) = L(x,y,z) * (x \ 1). L(x,y,z) * (x \ 1) = x \ L(x,y,z). x * y != (z \ 1) * L((z \ 1) \ 1,u,w) | x \ (z \ L(z,u,w)) = y. L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1). L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). x != (y \ z) * R((y \ z) \ z,u,w) | x = R(y,u,w) * (y \ z). x \ R(x,y,z) = R(x,y,z) * (x \ 1). R(x,y,z) * (x \ 1) = x \ R(x,y,z). x * y != (z \ 1) * R((z \ 1) \ 1,u,w) | (z \ R(z,u,w)) / y = x. (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). x * y != (z \ 1) * R((z \ 1) \ 1,u,w) | x \ (z \ R(z,u,w)) = y. R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. x * y != R(z,u,w) * (z \ 1) | (z \ R(z,u,w)) / y = x. (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1). R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). x != y * L(T(z,y),u,w) | x = L(z,u,w) * y. (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. (1 / (x \ y)) \ (y \ x) = L((x \ y) \ 1,x \ y,x) * (x \ y). L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). x != L(y / z,u,w) * z | x = z * L(z \ y,u,w). L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. x != R(y / (y / z),u,w) * (y / z) | x = (y / z) * R(z,u,w). R(x,y,z) / x = (1 / x) * R(x,y,z). (1 / x) * R(x,y,z) = R(x,y,z) / x. x * R(x \ 1,y,z) = R(x \ 1,y,z) / (x \ 1). R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). R(x,y,z) * u != R(x,y,z) / x | T(1 / x,R(x,y,z)) = u. T(1 / x,R(x,y,z)) = R(x,y,z) \ (R(x,y,z) / x). R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). x * y != R(1 / (z / u),z / u,u) | x \ (u / z) = y. (1 / (x / y)) \ (y / x) = (x / y) * R((x / y) \ 1,x / y,y). (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). x != R(1 / y,y,z) | x = z / (y * z). (1 / x) * ((y / (x * y)) * x) = y / (x * y). ((x / (y * x)) * y) * z != x / (y * x) | T(1 / y,(x / (y * x)) * y) = z. T(1 / x,(y / (x * y)) * x) = ((y / (x * y)) * x) \ (y / (x * y)). ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). ((x * y) / x) * (y * z) = (x \ (x * y)) * (((x * y) / x) * z). (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). x \ ((y * x) / y) = ((y * x) / y) * (x \ 1). ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). x \ (y / (y / x)) = (y / (y / x)) * (x \ 1). (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). x != (1 / (y / z)) * (z \ y) | x = (z \ y) / (y / z). x \ (1 / (1 / x)) = (x \ 1) / (1 / x). (x \ 1) / (1 / x) = x \ (1 / (1 / x)). x != (y * z) * T((y * z) \ y,u) | x = y * (z * T(z \ 1,u)). ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). ((x \ R(1 / y,y,x)) * x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). K(x \ (x / y),x) = y * T(y \ 1,x). x * y != z \ (u * T(u \ z,u)) | x \ K(u \ z,u) = y. x \ K(y \ (y / x),y) = T(x \ 1,y). x != (1 / y) * T((1 / y) \ 1,z) | x = T(y,z) / y. K(x \ (x / (1 / y)),x) = T(y,x) / y. x != (y \ 1) * T((y \ 1) \ 1,z) | x = y \ T(y,z). K(x \ (x / (y \ 1)),x) = y \ T(y,x). x * y != z * T(z \ 1,u) | K(u \ (u / z),u) / y = x. K(x \ (x / y),x) / y = T(1 / y,x). K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). x * K(x \ (x / T(x,y)),x) = T(x,y) * ((T(x,y) \ 1) * x). T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x). (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). K(x \ (x / (1 / y)),x) * y = T(y,x). T(x,y) = K(y \ (y / (1 / x)),y) * x. K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. K(R(x \ 1,y,z) \ (x * R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). (x * T(x \ 1,y)) * z != (u * x) * T((u * x) \ u,y) | T(u,x * T(x \ 1,y)) = z. T(x,x * T(x \ 1,y)) = x. T(x,(x \ 1) * x) = x. T(x,K(x \ 1,x)) = x. R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. T(x \ 1,x \ T(x,y)) = x \ 1. T(1 / x,T(x,y) / x) = 1 / x. R(x,x \ 1,x) = T(x,x \ 1). K(x \ 1,x) * x = x * K(x \ 1,x). T(x,x \ 1) \ x = (x \ 1) * x. T(x \ T(x,y),x \ 1) = x \ T(x,y). (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). (x * (1 / y)) / x = T((x * (1 / y)) / x,T(y,z) / y). T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. x * y != T(x,x \ 1) \ x | T(x \ 1,x) = y. T(x \ 1,x) = T(x,x \ 1) \ 1. T(x,x \ 1) \ 1 = T(x \ 1,x). T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). 1 / T(x \ 1,x) = T(x,x \ 1). ((x \ 1) \ 1) \ 1 = T(x \ 1,x). T(x \ 1,x) = ((x \ 1) \ 1) \ 1. (x \ 1) \ 1 = T((1 / x) \ 1,1 / x). T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. x != (y \ z) \ z | x = T(y,y \ z). T(x \ 1,x) = T(x \ 1,(x \ 1) \ 1). T(x \ 1,(x \ 1) \ 1) = T(x \ 1,x). T((x \ 1) \ 1,x \ 1) = T(x \ 1,x) \ 1. R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). (x * K(x \ 1,x)) / (x * x) = R(x \ 1,x,x). L(x \ T(x,y),x,y) = T((y * x) \ (x * y),x \ 1). T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). T(x,1 / x) = (x \ 1) \ 1. T(x,1 / x) = T(x,x \ 1). x != T(y,1 / y) | x = R(y,1 / y,y). (x \ 1) \ 1 = R(x,1 / x,x). R(x,1 / x,x) = (x \ 1) \ 1. ((1 / x) * ((x \ 1) \ 1)) / (1 / x) = x. ((x \ 1) \ 1) / x = K(x,1 / x). x \ ((x \ 1) \ 1) = a(x,1 / x,x). a(x,1 / x,x) = x \ ((x \ 1) \ 1). L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). L(T(x,x \ 1),1 / x,x) = T(x,x * (1 / x)). (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). T(x,x \ 1) / x = K(x,1 / x). x \ T(x,x \ 1) = a(x,1 / x,x). R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). x != R(y,1 / y,y) | x = K(y,1 / y) * y. (x \ 1) \ 1 = K(x,1 / x) * x. K(x,1 / x) * x = (x \ 1) \ 1. x != ((y \ 1) \ 1) / y | x = (y \ 1) \ (1 / y). K(x,1 / x) = (x \ 1) \ (1 / x). (x \ 1) \ (1 / x) = K(x,1 / x). (x \ 1) / (1 / x) = K(1 / x,1 / (1 / x)). K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). (1 / x) / K(x,1 / x) = x \ 1. R(1 / x,x,1 / x) = x \ 1. R(x \ 1,x,y) = R(y / (x * y),x,1 / x). R(x / (y * x),y,1 / y) = R(y \ 1,y,x). R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). L(T(x,x \ 1),1 / x,x) = T(x,K(x,1 / x)). R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). L(x \ 1,y,z) / (1 / x) = L(1 / x,y,z) * (1 / (1 / x)). L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). T((x * y) / x,y \ 1) = T((x * y) / x,1 / y). T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). T(x,1 / T(x,y)) = T((y * T(x,y)) / y,T(x,y) \ 1). T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). x != L(y \ T(y,z),y,z) | x = K(y,z). T((x * y) \ (y * x),y \ 1) = K(y,x). K(x,y) = T((y * x) \ (x * y),x \ 1). K(x,y) = T(K(x,y),x \ 1). T(K(x,y),x \ 1) = K(x,y). T(x \ 1,K(x,y)) = x \ 1. (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. (x \ 1) * ((x \ 1) \ 1) = T(x,K(x \ 1,y)) * (x \ 1). T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). (x * T(x \ (y \ x),z)) / (y \ x) != u | u = y * T(y \ 1,z). (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. x != y * T(y \ (z * y),u) | x = T(z,u) * y. K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. T(x,T(x,y) \ 1) = T(x,1 / T(x,y)). T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). T(x,K(x \ 1,y)) * (x \ 1) = 1. T(x,K(x \ 1,y)) = x. T(1 / x,K(x,y)) = 1 / x. R(1 / (x / y),x / y,y) = T((1 * y) / x,K(x / y,z)). T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). x != (y * z) * R(L(u,z,y),w,v5) | x = y * (z * R(u,w,v5)). R(x,y,z) * (x * u) = x * (u * R(T(x,u),y,z)). x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). x * (R(x,y,z) * u) = R(x,y,z) * (x * u). R(x,y,z) * (x * u) = x * (R(x,y,z) * u). R(x,y,z) * u = x * (R(x,y,z) * (x \ u)). x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. x * y != R(z,u,x) * (u * x) | T(z * u,x) = y. T(x * y,x) = R(x,y,x) * (x \ (y * x)). R(x,y,x) * (x \ (y * x)) = T(x * y,x). R(x,y,x) * T(y,x) = T(x * y,x). R(x,y,x) \ T(x * y,x) = T(y,x). L((x * y) / z,u,w) * z = (L(x / (z / y),u,w) * (z / y)) * y. (L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * y. L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). x * L(x \ (y * z),u,w) = y * ((y \ x) * L((y \ x) \ z,u,w)). x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). R((x * y) / z,u,w) * z = (R(x / (z / y),u,w) * (z / y)) * y. (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). x * ((y * (x \ (x / z))) / y) = (x / z) * (z * ((y * (z \ 1)) / y)). (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). x * y != L((z * (u \ w)) / z,u,1 / u) | x \ ((z * ((1 / u) * w)) / z) = y. (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). x * y != L((z * ((u \ 1) \ w)) / z,u \ 1,u) | x \ ((z * (u * w)) / z) = y. x \ ((y * (x * z)) / y) = (x \ 1) * ((y * ((x \ 1) \ z)) / y). (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). x * y != R((z * (u / (1 / w))) / z,1 / w,w) | ((z * (u * w)) / z) / y = x. ((x * (y * z)) / x) / z = ((x * (y / (1 / z))) / x) * (1 / z). ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). (x * T(y,z)) * y = (x * y) * T(y,z). (x * y) / T(y,z) = (x / T(y,z)) * y. x / T(x,y) = (1 / T(x,y)) * x. (1 / T(x,y)) * x = x / T(x,y). x * y = ((x / T(y,z)) * y) * T(y,z). ((x / T(y,z)) * y) * T(y,z) = x * y. ((x / y) * T(y,z)) * y = x * T(y,z). (x * T(y,z)) \ ((x * y) * T(y,z)) = y. x * y != ((z / u) * u) * w | (z * w) / y = x. (x * T(y,z)) / y = (x / y) * T(y,z). x * y != (((z / u) / w) * w) * u | z / y = x. x / y = ((x / T(y,z)) / y) * T(y,z). ((x / T(y,z)) / y) * T(y,z) = x / y. ((x / y) * T(y,z)) \ (x * T(y,z)) = y. (x * (y \ z)) * (z / y) = (x * (z / y)) * T(z / y,y). (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). (1 / T(x,y)) \ (x / T(x,y)) = x. (1 / T(x,y)) * x != z | z = x / T(x,y). (1 / T(x,y)) * x != z | x / T(x,y) = z. (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). x * (1 / T(x,y)) = T(x,1 / T(x,y)) / T(x,y). T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). x * y != (z * x) / T(x,u) | T(z / T(x,u),x) = y. (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. T(x,x / (x / T(y,x))) * T(y,x) = x * y. T(x,y) = R(T(x,y * T(x,z)),y,T(x,z)). R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). (1 / T(x,y)) * T(T(x,z),u) = T((T(x,z) / T(x,y)) * T(x,y),u) / T(x,y). T((T(x,y) / T(x,z)) * T(x,z),u) / T(x,z) = (1 / T(x,z)) * T(T(x,y),u). x * (x * y) = T(x,x / (x / T(y,x))) * (y * x). T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). (x * (x * y)) / (y * x) = T(x,x / (x / T(y,x))). T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. x != T(y,y / (y / T(z,y))) | x = (y / T(z,y)) * z. (x * (x * y)) / (y * x) = (x / T(y,x)) * y. R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). (x * ((y * z) / y)) * z = (x * (y \ (y * z))) * ((y * z) / y). (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). x / (y / z) = ((x / (z \ y)) / (y / z)) * (z \ y). ((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y). (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. T(x,y) / x != z | (1 / x) * T(x,y) = z. L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). x * y != (z * u) * L((z * (u \ 1)) / z,u,z) | x \ T(z,z / (z * u)) = y. x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). x * y != z \ T(z,z / (z * u)) | (u * ((z * (u \ 1)) / z)) / y = x. (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). x != R(1 / (y / z),y / z,z) | x = z / y. T((1 * x) / y,K(y / x,z)) = x / y. T(x / y,K(y / x,z)) = x / y. T(x / y,y) = T(y \ x,K(y / x,z)). T(x \ y,K(x / y,z)) = T(y / x,x). T(x \ y,K(x / y,z)) = x \ y. ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. x != ((y * z) / y) * (z \ 1) | x = z \ ((y * z) / y). (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(y \ x,x \ y,1 / (x \ y)). (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). (x * y) * R((x * y) \ y,z,u) = (R(1 / x,z,u) * x) * y. x != (y * z) * T((y * z) \ u,y) | x = ((y \ (u / z)) * y) * z. x * (y * T(y \ z,x)) = ((x \ ((x * z) / y)) * x) * y. ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). ((x \ (y / z)) * x) * z = x * (z * T(z \ (x \ y),x)). x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. x * (K(x \ 1,x) * (x \ y)) = ((x \ (y / y)) * x) * y. ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). ((x \ 1) * x) * y = x * (K(x \ 1,x) * (x \ y)). x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. x * (K(x \ 1,x) * y) = K(x \ 1,x) * (x * y). K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). x * (K(x \ 1,x) * y) != K(x \ 1,x) * z | x * y = z. K(x \ 1,x) * y != x * (K(x \ 1,x) * z) | x * z = y. x * (K(x \ 1,x) * (x \ y)) != z | K(x \ 1,x) * y = z. (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). x != (y * z) * T((y * z) \ z,u) | x = (y * T(y \ 1,u)) * z. x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. x * ((y \ (x \ y)) * y) = (x * T(x \ 1,y)) * y. (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). (T((x / y) / z,u) * z) * y = (z * y) * T((z * y) \ x,u). L(x,y,z) * (x * u) = x * (u * L(T(x,u),y,z)). x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). x * (L(x,y,z) * u) = L(x,y,z) * (x * u). L(x,y,z) * (x * u) = x * (L(x,y,z) * u). L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). x * y != L(z,u,w) * (z * v5) | x \ (z * (L(z,u,w) * v5)) = y. ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). L((x * y) / y,y,L(x,z,u)) = T((y * x) / y,L(x,z,u) * y). T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). x != ((1 / y) * ((y \ 1) \ 1)) / (1 / y) | x = y. T(1 / (1 / x),x \ 1) = x. T(x,y) = T(T(1 / (1 / x),y),x \ 1). T(T(1 / (1 / x),y),x \ 1) = T(x,y). T(1 / (1 / (1 / x)),x) = 1 / x. (x \ 1) * x = (1 / (1 / x)) * (x \ 1). (1 / (1 / x)) * (x \ 1) = (x \ 1) * x. K(x,x \ 1) = T(x,x \ 1) / x. T(x,x \ 1) / x = K(x,x \ 1). x * (1 / x) = (1 / (1 / (1 / x))) * x. (1 / (1 / (1 / x))) * x = x * (1 / x). x != T(y,y \ 1) / y | x = K(y,1 / y). K(x,x \ 1) = K(x,1 / x). K(x,1 / x) = K(x,x \ 1). K(x,x \ 1) * x = T(x,x \ 1). ((x \ 1) \ 1) / x = K(x,x \ 1). x * (1 / x) = K(x,x \ 1). K(x,x \ 1) = x * (1 / x). x != K(y,z) | x = K((u / y) \ u,z). K(x,x \ 1) = K((y / x) \ y,1 / x). K((x / y) \ x,1 / y) = K(y,y \ 1). x * y != K(z,1 / z) | x \ K(z,z \ 1) = y. x \ K(x,x \ 1) = 1 / x. K(x \ 1,x) = K(x \ 1,(x \ 1) \ 1). K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). K(x,x \ 1) \ 1 = K(1 / x,x). (1 / (1 / x)) * K(x,x \ 1) = x. K(x,x \ 1) * (x \ 1) = 1 / x. K(x,x \ 1) * x = (x \ 1) \ 1. T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). x * (1 / x) != y | y = K(x,x \ 1). x * (1 / x) != y | K(x,x \ 1) = y. T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). L(x \ y,x,K(x,x \ 1)) = T(x,x \ 1) \ (K(x,x \ 1) * y). T(x,x \ 1) \ (K(x,x \ 1) * y) = L(x \ y,x,K(x,x \ 1)). T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. x * L(y,K(x,x \ 1),1 / (1 / x)) = (1 / (1 / x)) * (K(x,x \ 1) * y). R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). ((x \ 1) \ 1) / L(y \ x,y,K(x,x \ 1)) = K(x,x \ 1) * y. K(x,1 / x) != y | K(x,x \ 1) = y. (x \ 1) * x = (x \ 1) / (1 / x). (x \ 1) / (1 / x) = (x \ 1) * x. (x \ 1) / (1 / x) = K(x \ 1,x). x != (y \ 1) / (1 / y) | x = K(1 / y,1 / (1 / y)). K(x \ 1,x) = K(1 / x,1 / (1 / x)). K(1 / x,1 / (1 / x)) = K(x \ 1,x). x != (y \ 1) / (1 / y) | x = y \ (1 / (1 / y)). K(x \ 1,x) = x \ (1 / (1 / x)). x \ (1 / (1 / x)) = K(x \ 1,x). K(x \ 1,x) * (1 / x) = x \ 1. K(x \ 1,x) \ (x \ 1) = 1 / x. x * K(x \ 1,x) = 1 / (1 / x). x * (T(x,y) \ K(x \ 1,x)) = T(x,y) \ (1 / (1 / x)). T(1 / x,K(x \ 1,x)) = 1 / x. (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). L(x \ 1,x,x \ 1) = 1 / x. L(1 / x,y,z) = L(L(x \ 1,y,z),x,x \ 1). L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). L(x,x \ 1,x) = 1 / (1 / x). (1 / (1 / x)) / (x * x) = R(x \ 1,x,x). L(T(x,y),x \ 1,x) = T(1 / (1 / x),y). R(1 / (1 / x),y,z) = L(R(x,y,z),x \ 1,x). L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). K(x \ 1,x) * L(1 / x,y,z) = L(1 / x,y,z) * K(x \ 1,x). L(1 / x,y,z) * K(x \ 1,x) = K(x \ 1,x) * L(1 / x,y,z). x != (1 / (y / (y / z))) * z | x = z / (y / (y / z)). x * (1 / x) = x / (1 / (1 / x)). x / (1 / (1 / x)) = x * (1 / x). x != y * (1 / y) | x = K(y,y \ 1). x / (1 / (1 / x)) = K(x,x \ 1). x != y * (1 / y) | x = K(y,1 / y). x / (1 / (1 / x)) = K(x,1 / x). K(x,x \ 1) * (1 / (1 / x)) = x. K(x,x \ 1) \ x = 1 / (1 / x). K(x,1 / x) * (1 / (1 / x)) = x. x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). L(x,1 / x,x) = 1 / (1 / x). L(T(x,y),1 / x,x) = T(1 / (1 / x),y). T(L(x,1 / x,x),x \ 1) = x. x != T(L(y,z,u),w) | x = L(T(y,w),z,u). x = L(T(x,x \ 1),1 / x,x). L(T(x,x \ 1),1 / x,x) = x. x != L(T(y,y \ 1),1 / y,y) | x = T(y,K(y,1 / y)). x = T(x,K(x,1 / x)). T(x,K(x,1 / x)) = x. T(K(x,1 / x),x) = K(x,1 / x). T(x,K(x,x \ 1)) = x. K(x,x \ 1) * L(x,y,z) = L(x,y,z) * K(x,x \ 1). L(x,y,z) * K(x,x \ 1) = K(x,x \ 1) * L(x,y,z). x != T(K(y,1 / y),y) | x = a(y,1 / y,y). K(x,1 / x) = a(x,1 / x,x). a(x,1 / x,x) = K(x,1 / x). x != a(y,1 / y,y) | x = y \ T(y,y \ 1). K(x,1 / x) = x \ T(x,x \ 1). x \ T(x,x \ 1) = K(x,1 / x). x != a(y,1 / y,y) | x = y \ ((y \ 1) \ 1). K(x,1 / x) = x \ ((x \ 1) \ 1). x \ ((x \ 1) \ 1) = K(x,1 / x). x != K(y,1 / y) | x = K(y,y \ 1). x \ T(x,x \ 1) = K(x,x \ 1). x \ ((x \ 1) \ 1) = K(x,x \ 1). x != y \ ((y \ 1) \ 1) | x = K((y \ 1) \ 1,y \ 1). K(x,1 / x) = K((x \ 1) \ 1,x \ 1). K((x \ 1) \ 1,x \ 1) = K(x,1 / x). x * K(x,x \ 1) = T(x,x \ 1). (x \ 1) \ 1 = x * K(x,x \ 1). x * K(x,x \ 1) = (x \ 1) \ 1. K(x,x \ 1) = K((x \ 1) \ 1,x \ 1). K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). T(x,x \ 1) * L(y,K(x,x \ 1),x) = x * (K(x,x \ 1) * y). L(K(x,x \ 1) \ y,K(x,x \ 1),x) = T(x,x \ 1) \ (x * y). (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. K(1 / x,(1 / x) \ 1) = K(x \ 1,x). K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,1 / (x \ 1)). (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. K(1 / x,x) = K(x \ 1,x). x != K((y / z) \ y,1 / z) | x = K(z,z \ 1). K(1 / (1 / x),1 / x) = K(x,x \ 1). x != K(1 / y,y) | x = K(y,y \ 1) \ 1. K(x \ 1,x) = K(x,x \ 1) \ 1. K(x,x \ 1) \ 1 = K(x \ 1,x). K(T(x,x \ 1),T(x \ 1,x)) = K(T(x \ 1,x) \ 1,T(x \ 1,x)). K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(T(x,x \ 1),T(x \ 1,x)). L(R(x \ 1,x,x),y,z) * (x * x) = (x * x) * L((x * x) \ (1 / (1 / x)),y,z). (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = L(R(x \ 1,x,x),y,z) * (x * x). x * y != L(T(z,u),z \ 1,z) | T(1 / (1 / z),u) / y = x. T(1 / (1 / x),y) / ((x \ 1) * T(x,y)) = x. x != L(T(y,z),1 / y,y) | x = K(y,1 / y) \ (y * (T(y,z) / y)). T(1 / (1 / x),y) = K(x,1 / x) \ (x * (T(x,y) / x)). K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). x != L(y,z,u) * K(y,y \ 1) | x = y * (L(y,z,u) * (1 / y)). K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,x). K(T(x \ 1,x),T(x,x \ 1)) = K(x \ 1,x). x != K((y \ 1) \ 1,y \ 1) | x = K(y,y \ 1). K(T((x \ 1) \ 1,x \ 1),T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). (x * y) * L((x * y) \ y,z,u) = (L(1 / x,z,u) * x) * y. x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). x \ (y * T(y \ x,z)) = (x \ y) * T((x \ y) \ 1,z). (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). x * K((x \ y) \ 1,x \ y) = y * T(y \ x,x \ y). x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). x * K(y \ (y / (x \ z)),y) = z * T(z \ x,y). x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). x * y != z * K(u \ (u / (z \ w)),u) | x \ (w * T(w \ z,u)) = y. x \ (y * T(y \ x,z)) = K(z \ (z / (x \ y)),z). K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). x != (y \ 1) * T((y \ 1) \ (y \ z),u) | x = y \ T(z,u). (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). x * y != (z \ u) * T((z \ u) \ u,w) | x \ (T(z,w) * (z \ u)) = y. x \ (T(y,z) * (y \ x)) = K(z \ (z / (x \ (y \ x))),z). K(x \ (x / (y \ (z \ y))),x) = y \ (T(z,x) * (z \ y)). x * T(y,z) = (x * y) * K(z \ (z / ((x * y) \ x)),z). (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). T(x,x * (y \ (z * T(z \ y,x)))) = x. T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. T(x,x * (T(x,y) \ x)) = x. T(x,y) = T(T(x,y),x * (T(x,z) \ x)). T(T(x,y),x * (T(x,z) \ x)) = T(x,y). x * T(y,(x * y) \ x) = (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x). (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). T(x,y) / z = (x / z) * K(y \ (y / ((x / z) \ (1 / z))),y). (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). x * y != T(z / u,w) * u | (u * T(u \ z,w)) / y = x. (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). (x * T(x \ y,z)) / y = K(z \ (z / (x / y)),z). K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). x != T(T(y,z),y * (T(y,u) \ y)) | x = T(y,z). (x * (T(x,y) \ x)) \ (x * x) = T(x,y). (x * x) / T(x,y) = x * (T(x,y) \ x). T(x / T(x,y),x) = T(x,y) \ x. T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). (T(x,y) \ x) * T(x,y) = T(x,y) * T(T(x,y) \ x,x). T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). x != ((y * R(z,u,w)) / y) * (u * w) | x = (((y * z) / y) * u) * w. T(x,R(1 / y,y,x)) = (((x * (1 / y)) / x) * y) * x. (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). (x \ T(x,x / (x * y))) * x = T(x,R(1 / y,y,x)). T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. x * (((y * x) / y) * z) = ((y * x) / y) * (x * z). ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). L(x,((y * z) / y) \ z,(y * z) / y) = ((y * z) / y) * (z \ ((((y * z) / y) \ z) * x)). ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). x * L(x \ (y \ x),z,u) = (L(1 / y,z,u) * y) * (y \ x). (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). T(x,x / (y \ 1)) = y \ ((x * (y * x)) / x). x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). T(x,x / (y \ 1)) != z | T(x,y * x) = z. T(x,x / (1 / y)) = ((x * (x * y)) / x) / y. ((x * (x * y)) / x) / y = T(x,x / (1 / y)). ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. ((x * y) / x) / (x \ y) = T(x,x / (1 / (x \ y))). T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. (1 / x) * ((y * x) / y) = ((y * x) / y) / x. x * ((y * (x \ 1)) / y) = ((y * (x \ 1)) / y) / (x \ 1). ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. (x * y) * ((z * y) / z) = (x * ((z * y) / z)) * y. (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. T(x,x / (x / y)) * y = ((x / y) * y) * ((x * y) / x). ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. x * ((x * y) / x) = T(x,x / (x / y)) * y. T(x,x / (x / y)) * y = x * ((x * y) / x). T(x,x / (x / y)) * (x \ y) = (x * y) / x. ((x * y) / x) / (x \ y) = T(x,x / (x / y)). x != ((y * z) / y) / (y \ z) | x = T(y,y / (1 / (y \ z))). T(x,x / (x / y)) = T(x,x / (1 / (x \ y))). T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). T(x,x / (1 / y)) = T(x,x / (x / (x * y))). T(x,x / (x / (x * y))) = T(x,x / (1 / y)). (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. x != (y * z) * T((y * z) \ u,w) | x = y * (z * T(z \ (y \ u),w)). (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). K(x \ (x / T(y,z)),x) = T(y * T(y \ 1,x),z). T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). x * K(y \ (y / T(z,x)),y) = (z * T(z \ 1,y)) * x. (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). x != K(y \ (y / z),y) | x = z * T(z \ 1,y). T(x * T(x \ 1,y),z) = T(x,z) * T(T(x,z) \ 1,y). T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). x * y != K(z \ (z / T(u,w)),z) | x \ T(u * T(u \ 1,z),w) = y. T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). T(K(x \ 1,x),y) = K(x \ (x / T(x,y)),x). K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). T(K(x \ (x / y),x),z) = K(x \ (x / T(y,z)),x). K(x \ (x / T(y,z)),x) = T(K(x \ (x / y),x),z). K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). K(x \ (x / (((y \ x) \ z) \ z)),x) = T(K(x \ y,x),(y \ x) \ z). T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). (T(x,y) \ 1) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). T(x,y) \ T(x * T(x \ 1,z),y) != u | u = T(T(x,y) \ 1,z). T(x,y) \ T(x * T(x \ 1,z),y) != u | T(T(x,y) \ 1,z) = u. T(x,y) \ T(x * (x \ 1),y) = T(T(x,y) \ 1,x \ T(x,z)). T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). T(x,y) \ T(x * T(x \ 1,x),y) = T(T(x,y) \ 1,T(x,x \ 1)). (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). (x * T(x \ y,z)) * u = x * (u * T(u \ (x \ (y * u)),z)). x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). x * y != (z * x) * T((z * x) \ (u * x),w) | T(z * T(z \ u,w),x) = y. T(x * T(x \ y,z),x) = x * T(x \ (x \ (y * x)),z). x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). x * T(x \ T(y,x),z) = T(x * T(x \ y,z),x). T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). x != y * T(z,y) | x = z * y. T(x * T(x \ y,x),x) = (x \ T(y,x)) * x. x * y != z * T(z \ T(u,z),w) | x \ T(z * T(z \ u,w),z) = y. x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). T((x \ y) * x,x) = (x \ T(y,x)) * x. x * y != (z \ T(u,z)) * z | T((z \ u) * z,z) / y = x. T((x \ y) * x,x) / x = x \ T(y,x). x * y != (z \ T(u,z)) * z | x \ T((z \ u) * z,z) = y. T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). x * (T((x \ y) * x,x) / x) = T(y,x). (x \ T(y,x)) * x != z | z = T((x \ y) * x,x). (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. T(x,y) / y = y \ T(y * (x / y),y). x \ T(x * (y / x),x) = T(y,x) / x. x * (T(y * x,x) / x) = T(x * y,x). x * (T(y,x) / x) = T(x * (y / x),x). T(x * (y / x),x) = x * (T(y,x) / x). (x \ 1) * (T(x \ R(x,y,z),x \ 1) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). x * T(T(y,x) / x,z) = T(x * T(y / x,z),x). T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). T(x * T(1 / x,y),x) = x * T(1 / x,y). (x * R(x \ 1,y,z)) * u != (w * x) * R((w * x) \ w,y,z) | T(w,x * R(x \ 1,y,z)) = u. T(x,x * R(x \ 1,y,z)) = x. x * y != (z * x) * R((z * x) \ x,u,w) | T(z * R(z \ 1,u,w),x) = y. T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. T(x,(y / (x * y)) * x) = x. T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. T(x \ 1,x \ R(x,y,z)) = x \ 1. T(x / y,(y / x) * (x / y)) = x / y. T(x * (y / (x * y)),x) = T(x,y / (x * y)) * T(y / (x * y),x). T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). T(x \ R(x,y,z),x \ 1) = x \ R(x,y,z). T(x \ 1,y) = T(T(x \ 1,y),x \ R(x,z,u)). T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). T(x / (y * x),y * (x / (y * x))) = x / (y * x). (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). R(x / (y * x),y,x / (y * x)) = T(x / (y * x),y). T(x \ 1,R(x,y,z)) \ T((x \ 1) * R(x,y,z),x \ 1) = T(R(x,y,z),x \ 1). x != T(y / (z * y),z) | x = R(z \ 1,z,y). R(x / (y * x),y,x / (y * x)) = R(y \ 1,y,x). R(x \ 1,x,y) \ T((y / (x * y)) * x,y / (x * y)) = T(x,y / (x * y)). (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). (x * L(x \ 1,y,z)) * u != (w * x) * L((w * x) \ w,y,z) | T(w,x * L(x \ 1,y,z)) = u. T(x,x * L(x \ 1,y,z)) = x. T(x,x * ((y * x) \ y)) = x. T(x \ y,(x \ y) * (y \ x)) = x \ y. T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. (((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y). T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). T(x \ (x / y),(x \ (x / y)) * y) = x \ (x / y). (x \ y) * (y \ x) = L(y \ x,x \ y,y \ x) * (x \ y). L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). T((x \ (x / y)) * y,x \ (x / y)) = (x \ (x / y)) * y. T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). x * (y \ z) != (y \ z) * (z \ y) | x = L(1 / (y \ z),y \ z,y). L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. ((x \ (y * z)) * x) / z = (x / z) * T((x / z) \ y,x). (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. (x * (y * T(y \ z,u))) / z = ((x * y) / z) * T(((x * y) / z) \ x,u). ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). (x * (1 / x)) * (x \ y) = y * L(y \ (x \ y),x,x \ 1). x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). (x * y) * (z * T(z \ L(y \ z,y,x),u)) = ((x * y) * T((x * y) \ x,u)) * z. ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). (x \ T(x * (y / z),u)) * z = (x \ 1) * (z * T(z \ ((x \ 1) \ y),u)). (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). x * y != R(z,u,y) * (u * y) | x = z * u. (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). x * y = ((x / K(y \ 1,y)) * y) * K(y \ 1,y). ((x / K(y \ 1,y)) * y) * K(y \ 1,y) = x * y. x * K(y \ 1,y) != (z * (y \ 1)) * y | x = R(z,y \ 1,y). ((x * (y \ 1)) / K(y \ 1,y)) * y = R(x,y \ 1,y). (x * (y \ 1)) / K(y \ 1,y) != z | z = R(x,y \ 1,y) / y. (x * (y \ 1)) / K(y \ 1,y) != z | R(x,y \ 1,y) / y = z. x * y != R(R(z / u,w,v5),u,u \ 1) | R(z * (u \ 1),w,v5) / y = x. R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). R(x,y,z) / (u \ 1) = u * R(u \ (x / (u \ 1)),y,z). x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). R(1 / x,y,z) / (x \ 1) = x * R(x \ K(x,x \ 1),y,z). x * R(x \ K(x,x \ 1),y,z) = R(1 / x,y,z) / (x \ 1). x * R(1 / x,y,z) = R(1 / x,y,z) / (x \ 1). R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). (x / y) / ((y / x) \ 1) = (y / x) * R(1 / (y / x),y / x,x). (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). x * ((y * (x \ (z * u))) / y) = z * ((z \ x) * ((y * ((z \ x) \ u)) / y)). x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). (x \ y) * (y \ x) = (1 / (y \ x)) \ (x \ y). (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. ((x \ y) * (y \ x)) * z != x \ y | T(1 / (y \ x),(x \ y) * (y \ x)) = z. T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). x != (y / z) * R((y / z) \ 1,y / z,z) | x = (z / y) * (y / z). (1 / (x / y)) \ (y / x) = (y / x) * (x / y). (1 / ((x \ y) / y)) \ x = (y / (x \ y)) * ((x \ y) / y). (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. x * ((x \ y) / y) = (1 / ((x \ y) / y)) \ x. (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. (x * ((x \ y) / y)) * z != x | T(1 / ((x \ y) / y),x * ((x \ y) / y)) = z. T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. R(x,T(1 / x,y),x) = T(x,(x * T(x \ 1,y)) / x). T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). T(x,T(1 / x,y)) = R(x,T(1 / x,y),x). R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). R(T(x,T(1 / x,y)),z,u) = R(R(x,z,u),T(1 / x,y),x). R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). L(x,y,L(x,z,u)) * y = y * T(x,L(x,z,u) * y). x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. x * y != L(z,u,w) * x | y = L(T(z,x),u,w). T(x,L(x,y,z) * u) = L(T(x,u),u,L(x,y,z)). L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). x != T(y,y \ z) \ (y * u) | x = y * (((y \ z) \ z) \ u). L(K(x,x \ 1) \ y,K(x,x \ 1),x) = x * (((x \ 1) \ 1) \ y). (x / y) * (y / x) = (y / x) / ((x / y) \ 1). (x / y) / ((y / x) \ 1) = (y / x) * (x / y). x / (((x \ y) / y) \ 1) = ((x \ y) / y) * (y / (x \ y)). ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). ((x \ y) / y) * x = x / (((x \ y) / y) \ 1). x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). x != (y * z) * L((y * z) \ z,u,w) | x = (y * L(y \ 1,u,w)) * z. x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. x * y != (x * z) * L(u,z,x) | y = z * u. K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. x \ (K(x,x \ 1) * y) = K(x,x \ 1) * (x \ y). x * y != K(x,x \ 1) * L(x,z,u) | y = L(x,z,u) * (1 / x). K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). x * (K(x,x \ 1) * y) = K(x,x \ 1) * (x * y). K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. x != K(y,y \ 1) * (y * z) | x = T(y,y \ 1) * L(z,y,K(y,y \ 1)). x * (K(x,x \ 1) * y) = T(x,x \ 1) * L(y,x,K(x,x \ 1)). T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y). (1 / x) * y != K(x,x \ 1) * z | x \ L(y,1 / x,x) = z. K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. x != L(1 / y,z,u) * (1 / (1 / y)) | x = L(y \ 1,z,u) / (1 / y). K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). T(x,x \ 1) * y != x * (K(x,x \ 1) * z) | y = L(z,K(x,x \ 1),x). L(x,y,K(y,y \ 1)) = L(x,K(y,y \ 1),y). L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). L(x,K(1 / y,y),1 / y) = L(x,1 / y,K(1 / y,(1 / y) \ 1)). L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(1 / y,y),1 / y). L(x,K(y \ 1,y),1 / y) = L(x,1 / y,K(1 / y,(1 / y) \ 1)). L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). (x * y) * L(y,z,u) = (L((x * y) / x,z,u) * x) * y. (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. (x * L(y,z,u)) * y = (x * y) * L(y,z,u). ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). (T(x,y) \ x) * y = T(y,R(T(x,y),T(x,y) \ 1,y)). T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. T(x,R(y,y \ 1,x)) / x != z | z = y \ ((x * y) / x). T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. L(x \ 1,x,y \ ((x * y) / x)) = T(1 / x,T(x,R(y,y \ 1,x))). T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). x \ (((T(y,x) \ y) * x) \ x) = T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1. T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1 = x \ (((T(y,x) \ y) * x) \ x). (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. L(x * y,z,u) / y = (1 / y) * L((1 / y) \ x,z,u). (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. T(1 / x,L(x,y,z) / x) = 1 / x. (x * (1 / y)) / x = T((x * (1 / y)) / x,L(y,z,u) / y). T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. (L(x / (y / z),u,w) * (y / z)) * z = y * L(y \ (x * z),u,w). x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. x != R(y / z,u,w) * z | x = z * R(z \ y,u,w). (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). (x * R(x \ y,z,u)) / y = (x / y) * R((x / y) \ 1,z,u). (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w) = (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z). (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). x != K(y \ 1,y) * L(1 / y,z,u) | x = L(1 / y,z,u) * K(y \ 1,y). (x \ 1) * (x * L(x \ 1,y,z)) = L(1 / x,y,z) * K(x \ 1,x). L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). K(T(x \ 1,x) \ 1,T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(x,x \ 1). x != K(T(y \ 1,y) \ 1,T(y \ 1,y)) | x = K(T(y,y \ 1),T(y \ 1,y)). K(x,x \ 1) = K(T(x,x \ 1),T(x \ 1,x)). K(T(x,x \ 1),T(x \ 1,x)) = K(x,x \ 1). K(T(x,x \ 1),T(x,x \ 1) \ 1) = K(x,x \ 1). T(x,x \ 1) \ (K(x,x \ 1) * y) = K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y). K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = T(x,x \ 1) \ (K(x,x \ 1) * y). T(T(x,y) \ 1,x) = T(T(x,y) \ 1,T(x,x \ 1)). T(T(x,y) \ 1,T(x,x \ 1)) = T(T(x,y) \ 1,x). T(T(x,y) \ 1,(x \ 1) \ 1) = T(T(x,y) \ 1,x). ((x \ 1) \ 1) * T(T(x,y) \ 1,x) = (T(x,y) \ 1) * ((x \ 1) \ 1). (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). x != T(y * T(1 / y,z),y) | x = y * T(1 / y,z). T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). L(x,1 / (1 / y),K(1 / (1 / y),(1 / (1 / y)) \ 1)) = L(x,K(y,y \ 1),1 / (1 / y)). (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). x \ (y * L(y \ x,z,u)) = (x \ y) * L((x \ y) \ 1,z,u). (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). L(x,y,z) * L(((z * y) \ (z * (y * x))) \ 1,u,w) = (z * y) \ ((z * (y * x)) * L((z * (y * x)) \ (z * y),u,w)). (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. x != (y \ 1) * ((z * ((y \ 1) \ 1)) / z) | x = y \ ((z * y) / z). K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). K(x,y / x) = (y \ x) * ((x * ((y \ x) \ 1)) / x). (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). K(T(x,y),1 / x) = x * ((T(x,y) * (x \ 1)) / T(x,y)). x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). K(L(x,y,z),1 / x) = x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)). x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). K(T(x,y),1 / T(x,z)) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). x * K(x,(x / y) / x) = T(x,x / (x * y)). K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). x * K(x,y / x) = T(x,x / (x * (y \ x))). T(x,x / (x * (y \ x))) = x * K(x,y / x). T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). T(x,R(y,x,(y * x) \ x)) = x * K(x,y). x \ ((x * K(x,y)) * z) = T(x,R(y,x,(y * x) \ x)) * (x \ z). T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). (x * K(x,y)) * (x \ z) = x \ ((x * K(x,y)) * z). x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). x \ (x * K(x,y)) = (x * K(x,y)) * (x \ 1). (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). x * y != z \ (z * u) | u / y = x. K(x,y) / (x \ 1) = x * K(x,y). x != (y * z) * L((y * z) \ u,w,v5) | x = y * (z * L(z \ (y \ u),w,v5)). (x * L(x \ y,z,u)) * w = x * (w * L(w \ (x \ (y * w)),z,u)). x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. x != (y * z) * L((y * z) \ y,u,w) | x = y * (z * L(z \ 1,u,w)). ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). x * y != (z * x) * L((z * x) \ (u * x),w,v5) | T(z * L(z \ u,w,v5),x) = y. T(x * L(x \ y,z,u),x) = x * L(x \ (x \ (y * x)),z,u). x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). x * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),x). T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). x * y != z * L(z \ T(u,z),w,v5) | x \ T(z * L(z \ u,w,v5),z) = y. x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). x \ T(x * L(y,z,u),x) = L(x \ T(x * y,x),z,u). L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). x != (y * z) * R((y * z) \ u,w,v5) | x = y * (z * R(z \ (y \ u),w,v5)). (x * R(x \ y,z,u)) * w = x * (w * R(w \ (x \ (y * w)),z,u)). x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. (x * y) * R(y,z,u) = (x * R(x \ (x * y),z,u)) * y. (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). (x * R(y,z,u)) * y = (x * y) * R(y,z,u). (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. T(x,y) = R(T(x,y * R(x,z,u)),y,R(x,z,u)). R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). x * y != (z * (z \ 1)) * u | u / y = x. R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). T(x * y,x) * T(x,y) = (x * y) * R(x,y,T(x,y)). (x * y) * R(x,y,T(x,y)) = T(x * y,x) * T(x,y). x != y / T(z,z \ u) | x = y / ((z \ u) \ u). (x \ 1) * R(x,y,z) = R(x,y,z) / ((x \ 1) \ 1). R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). x != (y * z) * ((u * ((y * z) \ y)) / u) | x = y * (z * ((u * (z \ 1)) / u)). (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). (x * y) * (y / (x * y)) = (x * (((x * y) * (x \ 1)) / (x * y))) * y. (x * (((x * y) * (x \ 1)) / (x * y))) * y = (x * y) * (y / (x * y)). (((x * y) / x) / y) * (1 / y) = (1 / y) * ((1 / y) * ((x * ((1 / y) \ 1)) / x)). (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). (x * L(x \ y,z,u)) / y = (x / y) * L((x / y) \ 1,z,u). (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w) = (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z). (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). x != (y \ z) \ ((z / y) * u) | x = (z / y) * ((y \ z) \ u). L(x,K(y \ 1,y),1 / y) = (1 / y) * ((y \ 1) \ (K(y \ 1,y) * x)). (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * ((y \ 1) \ K(y \ 1,y))) / x). (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y. T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. T(x * y,z) = T(T(T(x,x * y) * y,z),R(x,y,y \ 1)). T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). T(x,R(x / y,y,y \ 1)) = T((x / y) * y,T(x / y,y)). T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). T(x,T(x / y,y)) = T(x,x * (y \ 1)). T(x,y \ x) = T(x,x * (y \ 1)). T(x,x * (y \ 1)) = T(x,y \ x). T(x,x * y) = T(x,(1 / y) \ x). T(x,(1 / y) \ x) = T(x,x * y). L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). x != T(y,y / (y * T(y,z))) | x = y * (T(y,T(y,z) \ 1) / y). T(x,T(x,y) \ 1) = x * (T(x,T(x,y) \ 1) / x). x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). ((T(x,y) \ x) * y) \ 1 = y \ (((T(x,y) \ x) * y) \ y). x \ (((T(y,x) \ y) * x) \ x) = ((T(y,x) \ y) * x) \ 1. (1 / x) * ((x \ 1) \ ((x \ 1) * (x * y))) = L(L(y,x,x \ 1),K(x \ 1,x),1 / x). L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * ((y \ 1) \ ((y \ 1) * (y * x))). T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). x != T(L(y / z,u,w),z) | x = L(z \ y,u,w). (x \ R(x,y,z)) / R(x,y,z) = L(x \ 1,R(x,y,z),1 / x). L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). x != (y \ z) * T((y \ z) \ 1,u) | x = y \ (z * T(z \ y,u)). K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). x != (y * z) * ((u * ((y * z) \ z)) / u) | x = (y * ((u * (y \ 1)) / u)) * z. x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). (x * y) * T(K(y,x),x) = y * L(x,T(x,y) \ x,T(x,y)). x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) != z | z = K(x,x \ 1) * y. (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) != z | K(x,x \ 1) * y = z. (x * y) * T(K(y,x),z) = (y * x) * K(z \ (z / K(x,y)),z). (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). T(x * (y / (x * y)),x) = x * R(1 / x,x,y). T(x * (y / (x * y)),x) = x * (y / (x * y)). T(x,x * (y / (x * y))) = x. x != T(y * (z / (y * z)),y) | x = T(y,z / (y * z)) * R(y \ 1,y,z). x * (y / (x * y)) = T(x,y / (x * y)) * R(x \ 1,x,y). T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). T(x,x * ((x \ y) / y)) = x. T(x / y,(x / y) * (y / x)) = x / y. T(x,x \ y) = T((x \ y) \ y,x * ((x \ z) / z)). T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). T(x / (y * x),(x / (y * x)) * y) = x / (y * x). T(x / y,y) = T(y \ x,(x / y) * (y / x)). T(x \ y,(y / x) * (x / y)) = T(y / x,x). T(x \ y,(y / x) * (x / y)) = x \ y. K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. T((x / (y * x)) * y,x / (y * x)) = (x / (y * x)) * y. (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = (x \ T(x * (z / y),y)) * y. (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * (z / z),y)) * z. (x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)). T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). T((x \ 1) * y,x) = (x \ 1) * ((x \ y) * x). (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). (x \ 1) * (y * x) = T((x \ 1) * (x * y),x). T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). T((x \ 1) * (x * y),x) != (x \ 1) * z | y * x = z. x * ((x \ 1) * (y * x)) = ((x \ 1) * (x * y)) * x. ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). x != y * ((y \ 1) * z) | x = L(z,y \ 1,y). ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). x * K(y,(y / T(z,x)) / y) = (z * x) * ((y * ((z * x) \ x)) / y). (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). x * y != (z * x) * ((u * ((z * x) \ x)) / u) | T(z * ((u * (z \ 1)) / u),x) = y. T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). x != K(y,(y / z) / y) | x = z * ((y * (z \ 1)) / y). T(x * ((y * (x \ 1)) / y),z) = T(x,z) * ((y * (T(x,z) \ 1)) / y). T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). T(x * (1 / x),y) = K(x,(x / T(x,y)) / x). K(x,(x / T(x,y)) / x) = T(x * (1 / x),y). T(x \ T(x,x / (x * y)),z) = K(x,(x / T(y,z)) / x). T(K(x,y / x),z) = K(x,(x / T(y \ x,z)) / x). K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). T(x * (1 / x),y) = T(x,y) * ((x * (T(x,y) \ 1)) / x). T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). K(x,(x / (y \ x)) / x) = T(K(x,y / x),K(y / x,z)). T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. T(K(x,y / x),K(y / x,z)) = K(x,y / x). T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). T(K(x,y),K(y,z)) = K(x,(y * x) / x). T(K(x,y),K(y,z)) = K(x,y). T(K(x,y),K(z,x)) = K(x,y). K(x,y) * K(z,x) = K(z,x) * K(x,y). K(x,y) * L(K(z,x),u,w) = L(K(z,x),u,w) * K(x,y). L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). T(x,y) * (1 / T(x,y)) = T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y). T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = T(x,y) * (1 / T(x,y)). T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = T(x * (((x \ 1) * T((x \ 1) \ 1,z)) / T(x,z)),y). T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = K(T(x,y),T(x,y) \ 1). T(K(T(x,y),1 / x),y) = K(T(x,y),T(x,y) \ 1). K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). x != (y \ 1) \ (K(y \ 1,y) * z) | x = L((1 / y) \ z,1 / y,K(y \ 1,y)). K(x \ 1,x) * ((x \ 1) \ y) = L((1 / x) \ y,1 / x,K(x \ 1,x)). L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). (1 / x) * (K(x \ 1,x) * (x * y)) = K(1 / x,(1 / x) \ 1) * L(y,x,1 / x). K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). (x * (y * (1 / y))) * y = (x * y) * (y * L(y \ 1,y,1 / y)). (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. (x * y) * (y * (1 / y)) = (x * (y * (1 / y))) * y. (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). x != y \ (z * (z \ y)) | x = 1. K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. 1 / (x \ y) = T(1 / (x \ y),(y \ x) * (x \ y)). T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). x != T(1 / (y \ z),(z \ y) * (y \ z)) | x = ((z \ y) * (y \ z)) \ (z \ y). 1 / (x \ y) = ((y \ x) * (x \ y)) \ (y \ x). ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). (x \ y) * (1 / (x \ y)) = x \ (y * L(y \ x,x \ y,y \ x)). x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. L(x \ 1,x,(y * x) \ y) = 1 / x. (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. L(1 / x,x,y) = L((y * x) \ y,x,(z * x) \ z). L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). (L(x \ 1,x,y) * x) * (1 / x) = (y * x) \ y. (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). T(x,(y * x) \ y) = K(((y * x) \ y) \ (((y * x) \ y) * x),(y * x) \ y) * x. K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). x * K(x \ y,(x \ y) \ 1) = y * L(y \ x,x \ y,y \ x). x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. x != y / y | x = 1. K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. (x \ T(x * 1,y)) * z = (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)). (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * 1,y)) * z. (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. x * y != z * (z \ x) | y = 1. (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1. x != (y * z) * T(L(u,z,y),w) | x = y * (z * T(u,w)). (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). (x * (y * T(y \ 1,x))) * (x \ 1) = x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)). x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). (1 / x) * (x * (y * T(y \ 1,x))) = ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) / x. ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). x != T((y * (1 / z)) / y,T(z,u) / z) | x = (y * (1 / z)) / y. L(1 / x,T(x,y),1 / x) = (T(x,y) * (1 / x)) / T(x,y). (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). K(x \ y,((x \ y) / ((y \ x) \ 1)) / (x \ y)) = ((y \ x) \ 1) * ((((y \ x) \ 1) \ (x \ y)) / (x \ y)). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. R(x \ 1,x,y) \ ((y / (x * y)) * x) = T(x,y / (x * y)). T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). (x * R(x \ 1,x,y)) \ (T(x,y / (x * y)) * R(x \ 1,x,y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). x != T(y,R(T(z,y),T(z,y) \ 1,y)) | x = (T(z,y) \ z) * y. (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. x != (y * (z * L(z \ 1,u,w))) * z | x = (y * z) * (z * L(z \ 1,u,w)). (x * ((y * x) \ y)) * K(x \ 1,x) = ((x \ 1) * x) * (x * L(x \ 1,x,y)). ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). (x * y) * R((x * y) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). T(x * R(x \ 1,y,z),u) = T(x,u) * R(T(x,u) \ 1,y,z). T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). (x / (T(y,z) * x)) * T(y,z) = T(y * R(y \ 1,T(y,z),x),z). T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). T(x * T(x \ 1,T(x,y)),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). x * T(y,z) != T(y * T(y \ 1,T(y,z)),z) | x = T(y,z) \ 1. (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). x != T(T(y,z) \ 1,y \ T(y,u)) | x = T(y,z) \ 1. (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. (x \ T(x,y)) \ 1 = (x \ 1) \ (T(x,y) \ 1). (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. (x * y) * L((x * y) \ y,z,u) = y * (T(x,y) * L(T(x,y) \ 1,z,u)). x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). x * y != (z * x) * L((z * x) \ x,u,w) | T(z * L(z \ 1,u,w),x) = y. T(x * L(x \ 1,y,z),u) = T(x,u) * L(T(x,u) \ 1,y,z). T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). T(x,y) * z != T(x * (1 / x),y) | z = (T(x,y) \ x) / x. (1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x. (T(x,y) \ x) * z != (T(x,y) \ x) / x | T(1 / x,T(x,y) \ x) = z. T(1 / x,T(x,y) \ x) = (T(x,y) \ x) \ ((T(x,y) \ x) / x). (T(x,y) \ x) \ ((T(x,y) \ x) / x) = T(1 / x,T(x,y) \ x). T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x). (1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x). x != y \ (T(y,z) \ y) | x = T(y,z) \ 1. (1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1. (1 / x) * ((T(x,y) \ 1) * x) != z | T(x,y) \ 1 = z. ((T(x,y) \ x) / x) * K(x \ 1,x) = (T(x,y) \ x) * T(T(1 / x,T(x,y) \ x),x). (T(x,y) \ x) * T(T(1 / x,T(x,y) \ x),x) = ((T(x,y) \ x) / x) * K(x \ 1,x). T(K(T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). x != T(K(T(y,z),1 / y),z) | x = K(T(y,z),T(y,z) \ 1). T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). x * y != K(x,x \ 1) | y = 1 / x. (T(x,y) / x) \ (1 / x) = 1 / T(x,y). (T(x,y) / x) * (1 / T(x,y)) = 1 / x. (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). T(x,y) * ((T(x,y) / x) \ (1 / x)) != z | K(T(x,y),T(x,y) \ 1) = z. T(x / (x / y),z) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). T(T(x,y),z) / T(x,u) = (1 / T(x,u)) * T(T(x,y),z). (1 / T(x,y)) * T(T(x,z),u) = T(T(x,z),u) / T(x,y). (x \ 1) * T(T(x,y),z) = T(T(x,y),z) / T(x,x \ 1). T(T(x,y),z) / T(x,x \ 1) = (x \ 1) * T(T(x,y),z). x != y * T(T(z,y),u) | x = T(z,u) * y. T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). x != T(y,z) * (y \ 1) | x = y \ T(y,z). T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). x != (y \ T(y,z)) \ (y \ 1) | x = T(y,z) \ 1. 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. (T(x,y) \ 1) \ 1 = T(T(x,x \ 1),y). T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. 1 / T(x,y) = T(1 / (1 / x),y) \ 1. T(1 / (1 / x),y) \ 1 = 1 / T(x,y). T((x \ 1) \ 1,y) = (T(x,y) \ 1) \ 1. (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). 1 / (1 / T(x,y)) = T(1 / (1 / x),y). x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. ((x \ y) \ 1) \ 1 = T(((y / x) \ 1) \ 1,x). T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. x != 1 / (1 / y) | x = y * K(y \ 1,y). T(1 / (1 / x),y) = T(x,y) * K(T(x,y) \ 1,T(x,y)). T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). T(x,T(x,y) \ 1) = (x \ 1) \ 1. x * (((x \ y) \ 1) \ 1) = (((y / x) \ 1) \ 1) * x. (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((R(z / x,x,y) \ 1) \ 1) * (x * y). ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). x != (y \ 1) \ 1 | x = y * K(y,y \ 1). T(x,T(x,y) \ 1) = x * K(x,x \ 1). x != T(y,T(y,z) \ 1) | x = (T(y,z) \ 1) \ (T(y,z) \ y). (x \ 1) \ 1 = (T(x,y) \ 1) \ (T(x,y) \ x). (T(x,y) \ 1) \ (T(x,y) \ x) = (x \ 1) \ 1. T(K(x,x \ 1),y) = K(x,x \ 1). K(K(x,x \ 1),y) = 1. T(x,K(y,y \ 1)) = x. x * y != T(K(z,z \ 1),u) | x \ K(z,z \ 1) = y. T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. x * K(y,y \ 1) = K(y,y \ 1) * x. K(x,x \ 1) * y = y * K(x,x \ 1). x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. K(K(x \ 1,x),y) = 1. K(x,x \ 1) * y != z * K(x,x \ 1) | z = y. K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. T(x,K(y \ 1,y)) = x. T(K(x \ 1,x),y) = K(x \ 1,x). x * K(y \ 1,y) = K(y \ 1,y) * x. K(x \ 1,x) * y = y * K(x \ 1,x). K(x \ 1,x) * y != z * K(x \ 1,x) | z = y. K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. x != T(K(y \ 1,y),z) | x = K(y \ (y / T(y,z)),y). K(x \ 1,x) = K(x \ (x / T(x,y)),x). K(x \ (x / T(x,y)),x) = K(x \ 1,x). x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. R(x,y,K(z,z \ 1)) = ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y). ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) = R(T(z,y * K(x,x \ 1)),y,K(x,x \ 1)). (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) != u | L(T(z,y),y,K(x,x \ 1)) = u. x != (y / z) * K(z \ 1,z) | x = y * T(y \ (y / z),z). K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). x * K(x \ (x / T(x,y)),x) = 1 / (1 / x). x != T((((y * z) / y) \ u) \ u,y) | x = T(z,((y * z) / y) \ u). ((x \ (x * y)) \ 1) \ 1 = T(y,((x * y) / x) \ 1). T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. x * y != z * K(z \ (z / T(z,u)),z) | x \ (1 / (1 / z)) = y. T(x,y) \ (1 / (1 / x)) = (T(x,y) \ 1) * x. x != (T(y,z) \ 1) * ((y \ 1) \ 1) | x = ((y \ 1) \ 1) * T(T(y,z) \ 1,y). T(x,y) \ x = ((x \ 1) \ 1) * T(T(x,y) \ 1,x). ((x \ 1) \ 1) * T(T(x,y) \ 1,x) = T(x,y) \ x. x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. (((x / y) \ 1) \ 1) * y != z | z = y * (((y \ x) \ 1) \ 1). (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). x * y != (z * x) * L((z * x) \ u,w,v5) | T(z * L(z \ (u / x),w,v5),x) = y. T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). (1 / x) * (((y * x) / y) / x) = (((y * x) / y) / x) * (1 / x). (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). x != R((y / z) / u,u,z) | x = y / (u * z). ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = K(y,x). K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). K(x,y) = ((1 / y) * K(x,y)) / (1 / y). ((1 / x) * K(y,x)) / (1 / x) = K(y,x). K(x,y) * (1 / y) = (1 / y) * K(x,y). T(K(x,y),1 / y) = K(x,y). T(1 / x,K(y,x)) = 1 / x. T(1 / x,x) = T(x \ 1,K(y,x)). T(x \ 1,K(y,x)) = T(1 / x,x). T(x \ 1,K(y,x)) = x \ 1. (x \ 1) * ((y * x) / y) = ((y * x) / y) / ((x \ 1) \ 1). ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * ((y * T(x,y)) / y). (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). (T(x,y) \ 1) * x = x / ((T(x,y) \ 1) \ 1). x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. K(x,((T(x,y) \ 1) * x) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. x * ((x * ((y * (x \ 1)) / y)) * z) = (x * ((y * (x \ 1)) / y)) * (x * z). (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. 1 / ((x \ y) / y) = T(1 / ((x \ y) / y),x * ((x \ y) / y)). T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). x != T(1 / ((y \ z) / z),y * ((y \ z) / z)) | x = (y * ((y \ z) / z)) \ y. 1 / ((x \ y) / y) = (x * ((x \ y) / y)) \ x. (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). ((x / y) * (y / x)) * (1 / (y / x)) = x / y. K(1 / (x / y),(y / x) * (x / y)) = 1. K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. x * y != (z * u) / u | z / y = x. x / (1 / (y / (x * y))) = ((x * y) / y) * (y / (x * y)). ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). K(1 / x,(y / (x * y)) * x) = 1. T(1 / x,(y / (x * y)) * x) = 1 / x. L(x \ 1,x,y / (x * y)) = 1 / x. L(x \ 1,x,R(1 / x,x,y)) = 1 / x. ((x / (y * x)) * y) * (1 / y) = x / (y * x). R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). R(x \ 1,x,y) * K(x,x \ 1) = y / (x * y). x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). T(1 / (1 / x),R(1 / x,x,y)) = x. T(1 / (1 / x),y / (x * y)) = x. T(x,x \ 1) = T(x,y / (x * y)). T(x,y / (x * y)) = T(x,x \ 1). T(x,y / (x * y)) = (x \ 1) \ 1. x * y != T(z,z \ 1) | x \ T(z,u / (z * u)) = y. x \ T(x,y / (x * y)) = K(x,x \ 1). K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. T(x / y,y / x) = ((x / y) \ 1) \ 1. ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). x * (y / (x * y)) = x / (1 / (y / (x * y))). x / (1 / (y / (x * y))) = x * (y / (x * y)). K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). x != T(y,((z * y) / z) \ 1) | x = (y \ 1) \ 1. T(x,y / (y * x)) = (x \ 1) \ 1. T(x \ y,x / y) = ((x \ y) \ 1) \ 1. T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. x != K(y \ (y * z),u) | x = K(z,u). R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). K(x,(y * x) \ y) * x = T(x,(y * x) \ y). x * y != T(x,(z * x) \ z) | T(K(x,(z * x) \ z),x) = y. T(K(x,(y * x) \ y),x) = x \ T(x,(y * x) \ y). x \ T(x,(y * x) \ y) = T(K(x,(y * x) \ y),x). (((x * (y / z)) / x) * z) * u = (z * u) * ((x * ((z * u) \ (y * u))) / x). (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. (x * y) * ((z * ((x * y) \ u)) / z) = (((z * ((u / y) / x)) / z) * x) * y. (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. (x * ((y / z) / x)) * z = (x * z) * ((x * ((x * z) \ y)) / x). (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. T(x,x / (x * y)) = (x * ((x / y) / x)) * y. (x * ((x / y) / x)) * y = T(x,x / (x * y)). x != (y * z) * ((u * ((y * z) \ w)) / u) | x = y * (z * ((u * (z \ (y \ w))) / u)). (x * ((y / z) / x)) * z = x * (z * ((x * (z \ (x \ y))) / x)). x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. x * y != T(z,z / (z * x)) | T(z * ((z / x) / z),x) = y. T(x * ((x / y) / x),y) = y \ T(x,x / (x * y)). x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). x * ((y * (z \ u)) * ((x * ((y * (z \ u)) \ (x \ u))) / x)) = (x * (R(z / y,y,z \ u) / x)) * (y * (z \ u)). (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). x * ((y * ((x * (y \ 1)) / x)) * (x \ z)) = (x * ((z / (y * (x \ z))) / x)) * (y * (x \ z)). (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. (x * y) * (y * ((z * (y \ 1)) / z)) = ((x * y) * ((z * ((x * y) \ x)) / z)) * y. ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). (x * (T(y,x) / y)) \ (x * z) = x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z). x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). x != L(y,z,u) \ (y * w) | x = y * (L(y,z,u) \ w). K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))). (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). x != L(R(y,z,u),w,v5) * (z * u) | x = (L(y,w,v5) * z) * u. (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = (L(x \ 1,y,z) * x) * x. x * (x * L(x \ (x \ (1 / (1 / x))),y,z)) = (L(x \ 1,y,z) * x) * x. x * (x * L(x \ K(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. x * (x * L(T(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. x * (L(x \ 1,y,z) * x) = (L(x \ 1,y,z) * x) * x. (L(x \ 1,y,z) * x) * x = x * (L(x \ 1,y,z) * x). T(x,L(x \ 1,y,z) * x) = x. T(x \ y,(y \ x) * (x \ y)) = x \ y. T(x \ (x / y),y * (x \ (x / y))) = x \ (x / y). R(x \ (x / y),y,x \ (x / y)) = T(x \ (x / y),y). T(x \ (x / y),y) \ T((x \ (x / y)) * y,x \ (x / y)) = T(y,x \ (x / y)). T(x \ (x / y),y) \ ((x \ (x / y)) * y) = T(y,x \ (x / y)). T(x,T(y \ (y / x),x)) = T(x,y \ (y / x)). T(x,T(T(1 / x,R(x,y,z)),x)) = T(x,R(x,y,z) \ (R(x,y,z) / x)). T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(T(1 / x,R(x,y,z)),x)). T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(x \ 1,R(x,y,z))). T(x,T(1 / x,R(x,y,z))) = T(x,T(x \ 1,R(x,y,z))). T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). L(x,T(x,y) \ x,x) = L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)). L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). x != L(y,T(y,z) \ y,T(y,z)) | x = T(y,z) * T(T(y,z) \ y,y). L(x,T(x,y) \ x,x) = T(x,y) * T(T(x,y) \ x,x). T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). x != T(y,z) * T(T(y,z) \ y,y) | x = (T(y,z) \ y) * T(y,z). L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). (x * (y * T(y \ 1,z))) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * (y * T(y \ 1,z))) * z. K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). (x \ 1) * T(x,(y * x) \ y) = K(x \ 1,x * ((y * x) \ y)). K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). T(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x. x != (1 / y) * (y * z) | x = L(z,y,1 / y). K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). K(x \ 1,x) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). L(x * K(y \ 1,y),y,1 / y) = K(y \ 1,y) * L(T(x,K(y \ 1,y)),y,1 / y). K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). (x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). (x \ 1) * R(x,y,z) = T((x \ 1) * R(x,y,z),x \ 1). T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z). T(x \ 1,R(x,y,z)) \ ((x \ 1) * R(x,y,z)) = T(R(x,y,z),x \ 1). T(R(x,y,z),T(x \ 1,R(x,y,z))) = T(R(x,y,z),x \ 1). T(R(x,y,z),x \ 1) = R(T(x,T(x \ 1,R(x,y,z))),y,z). R(T(x,T(x \ 1,R(x,y,z))),y,z) = T(R(x,y,z),x \ 1). R(T(x,T(x \ 1,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). (x * (y * T(y \ T(z,x),u))) / x = ((x * y) / x) * T(((x * y) / x) \ z,u). ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). x != K(y \ 1,y) * (y * L(y \ 1,y,z)) | x = (y * ((z * y) \ z)) * K(y \ 1,y). L(x \ 1,x,y) / (1 / x) = (x * ((y * x) \ y)) * K(x \ 1,x). (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). x != L(y \ 1,y,z) / (1 / y) | x = L(y \ 1,y,z) * y. (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. x * y != (y * ((z * y) \ z)) * K(y \ 1,y) | x = (y \ 1) * (y * L(y \ 1,y,z)). L(x \ 1,x,y) = (x \ 1) * (x * L(x \ 1,x,y)). (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). x != L(y \ 1,y,z) | x = (z * y) \ z. (x \ 1) * (x * L(x \ 1,x,y)) = (y * x) \ y. (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). (x * y) \ x = (y \ 1) * (y * ((x * y) \ x)). (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. x != y | x = y * 1. (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | z = K(y \ 1,y * ((x * y) \ x)). 1 = K(x \ 1,x * ((y * x) \ y)). K(x \ 1,x * ((y * x) \ y)) = 1. x * y != K(z \ 1,z * ((u * z) \ u)) | x \ 1 = y. (x \ 1) \ 1 = T(x,(y * x) \ y). T(x,(y * x) \ y) = (x \ 1) \ 1. T(1 / (1 / x),(y * x) \ y) / 1 = x. T(x,(y * x) \ y) = T(x,x \ 1). x * y != T(z,(u * z) \ u) | ((z \ 1) \ 1) / y = x. ((x \ 1) \ 1) / x = K(x,(y * x) \ y). K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). T(1 / (1 / x),(y * x) \ y) = x. T(1 / (1 / (x \ y)),y \ x) = x \ y. (((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y). x != ((y \ 1) \ 1) / y | x = K(y,y \ 1). K(x,(y * x) \ y) = K(x,x \ 1). K(x \ y,y \ x) = K(x \ y,(x \ y) \ 1). K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). K(x,y \ (y / x)) = K(x,x \ 1). K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). K(x,(y * x) \ y) \ 1 = K(x \ 1,x). T(K(x,(y * x) \ y),z) = K(x,x \ 1). K(x,x \ 1) = K((y / x) \ y,z \ (z / x)). K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. x * (((x \ y) \ 1) \ 1) = y * K((y \ x) \ 1,y \ x). x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). T(K(x \ y,x),(y \ x) \ 1) = K(x \ (x / T(y \ x,x \ y)),x). K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). x != (((y * z) \ y) * z) / ((y * z) \ y) | x = L(z,(y * z) \ y,z). 1 / (1 / x) = L(x,(y * x) \ y,x). L(x,(y * x) \ y,x) = 1 / (1 / x). L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). x != L(y \ z,z \ y,y \ z) | x = L(1 / (z \ y),z \ y,z). 1 / (1 / (x \ y)) = L(1 / (y \ x),y \ x,y). L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). x * (1 / (1 / (x \ y))) = y * K(y \ x,(y \ x) \ 1). x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). T(K(x,y),K(y,x)) = T(K(x,y),K(x,y) \ 1). T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. x != T(K(y,z),K(u,y)) | x = K(y,z). (K(x,y) \ 1) \ 1 = K(x,y). 1 / (1 / K(x,y)) = K(x,y). x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ ((x * (y * z)) / L(z,y,x))))). (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ ((x * (y * z)) / L(z,y,x))))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). x != L((y * z) \ y,z,(u * z) \ u) | x = L(1 / z,z,y). 1 / (1 / ((x * y) \ x)) = L(1 / y,y,x). L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). x != K(y \ z,(y \ z) \ 1) | x = K(y \ z,z \ y). K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). x != K(y \ (y / T(z \ y,u)),y) | x = T(K(y \ z,y),u). T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). T(K(x,y),((y * x) \ y) \ 1) = T(K(y \ (y * x),y),y \ (y * x)). T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). x != T(K(y \ (y / (z \ 1)),y),T(z,y) \ z) | x = ((z \ T(z,y)) \ 1) \ 1. x \ T(x,y) = ((x \ T(x,y)) \ 1) \ 1. ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. x != (y \ T(y,z)) \ 1 | x = (y \ 1) \ (T(y,z) \ 1). 1 / (x \ T(x,y)) = (x \ 1) \ (T(x,y) \ 1). (x \ 1) \ (T(x,y) \ 1) = 1 / (x \ T(x,y)). T(K(x,y),y \ (y * x)) = T(K(x,y),((y * x) \ y) \ 1). T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * (y * x). L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = L(x,y,1 / y). L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | L(x,y,1 / y) = z. L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | (1 / y) * (y * x) = z. x \ (x * (y * T(y \ 1,x))) = (x * (y * T(y \ 1,x))) * (x \ 1). (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). x != y \ (y * z) | x = z. (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). (x * (y \ T(y,x))) * (x \ 1) = (y \ 1) * T((y \ 1) \ 1,x). (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). (x * (y * T(y \ 1,x))) / x = L(y * T(y \ 1,x),x,1 / x). L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. L(K(x,y),y,1 / y) = (y * (((y * x) \ y) * T(((y * x) \ y) \ 1,y))) / y. (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). (x * K(y,x)) / x = L(K(y,x),x,1 / x). L(K(x,y),y,1 / y) = (y * K(x,y)) / y. (T(x,y) \ x) * T(x \ 1,T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x). (x \ 1) * (T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x). ((T(x,y) \ x) / x) * K(x \ 1,x) = (x \ 1) * (T(x,y) \ x). x * ((x * (T(y,x) / y)) \ z) = (x * (T(y,x) / y)) \ (x * z). (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). L(x,y,1 / y) * K(y \ 1,y) = L(x * K(y \ 1,y),y,1 / y). L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). x != y * (T((y \ z) * y,y) / y) | x = T(z,y). K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). T(x,y) * K(y,y \ 1) = T(x * K(y,y \ 1),y). T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). K(x,x \ 1) * T(y,x) = T(K(x,x \ 1) * y,x). T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). (1 / K(x,x \ 1)) * T(y,x) = T((1 / K(x,x \ 1)) * y,x). T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). x != T((y / z) * K(z,z \ 1),z) | x = z \ (y * K(z,z \ 1)). (x \ y) * K(x,x \ 1) = x \ (y * K(x,x \ 1)). x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). (1 / x) \ (y * K(1 / x,x)) = ((1 / x) \ y) * K(1 / x,(1 / x) \ 1). ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). x * (y * K(x,x \ 1)) = (x * y) * K(x,x \ 1). (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). ((1 / x) * y) * K(x \ 1,x) = (1 / x) * (y * K(1 / x,(1 / x) \ 1)). (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = ((1 / x) * y) * K(x \ 1,x). (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. L(x,y,K(x,x \ 1)) = x. L(1 / x,y,K(x \ 1,x)) = 1 / x. L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). T(((x \ 1) * x) * y,x) = (1 / K(x,x \ 1)) * T(y,x). (1 / K(x,x \ 1)) * T(y,x) = T(((x \ 1) * x) * y,x). (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). ((x \ 1) * x) * T(y,x) = T(K(x \ 1,x) * y,x). T(K(x \ 1,x) * y,x) = ((x \ 1) * x) * T(y,x). T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). L(x,y,K(x \ 1,x)) = x. L(T(x,y),z,K(x \ 1,x)) = T(x,y). T(x,K(x \ 1,x) * y) = T(x,y). T(x,(x \ 1) * y) = T(x,L(x \ y,x,x \ 1)). T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). (x * y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)). (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = ((T(x,y) \ x) / x) * K(x \ 1,x). (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). x * (y * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). R(x,y,K(x \ 1,x)) = x. (T(x,y) \ x) * K(x \ 1,x) = x * ((T(x,y) \ 1) * K(x \ 1,x)). x * ((T(x,y) \ 1) * K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x). R(T(x,y),z,K(x \ 1,x)) = T(x,y). x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. T(x,y) \ K(x \ 1,x) = (T(x,y) \ 1) * K(x \ 1,x). (T(x,y) \ 1) * K(x \ 1,x) = T(x,y) \ K(x \ 1,x). x * (T(x,y) \ K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x). (T(x,y) \ x) * K(x \ 1,x) = x * (T(x,y) \ K(x \ 1,x)). x != y * (T(y,z) \ K(y \ 1,y)) | x = T(y,z) \ (1 / (1 / y)). (T(x,y) \ x) * K(x \ 1,x) = T(x,y) \ (1 / (1 / x)). x != T(R(y,z,u),w) * (z * u) | x = (T(y,w) * z) * u. (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). x * ((K(x,y) \ y) * K(x,y)) = (T(y,K(x,y)) * x) * K(x,y). (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). x != T((y * (1 / z)) / y,L(z,u,w) / z) | x = (y * (1 / z)) / y. L(1 / x,L(x,y,z),1 / x) = (L(x,y,z) * (1 / x)) / L(x,y,z). (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). L(1 / x,L(x,y,z),1 / x) * x = x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)). x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). x != y * ((L(y,z,u) * (y \ 1)) / L(y,z,u)) | x = K(L(y,z,u),1 / y). x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). x * ((y * z) * T((y * z) \ y,u)) = (x * y) * K(u \ (u / L(z,y,x)),u). (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). L(x * T(x \ 1,y),z,u) = L(x,z,u) * T(L(x,z,u) \ 1,y). L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). L(K(x,x \ 1),x,y) \ 1 = K((y * x) \ y,((y * x) \ y) \ 1). K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. T(x,L(K(y,y \ 1),y,z)) = x. x != K((y * z) \ y,((y * z) \ y) \ 1) | x = K((y * z) \ y,z). L(K(x,x \ 1),x,y) \ 1 = K((y * x) \ y,x). K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). x != ((y * z) * u) / (z * u) | x = R(y,z,u). K(x \ (x / R(y,z,u)),x) = R(y * T(y \ 1,x),z,u). R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. R(x * T(x \ 1,y),z,u) = R(x,z,u) * T(R(x,z,u) \ 1,y). R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). (R(x,y,z) \ 1) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). x != ((y * z) \ y) * T(((y * z) \ y) \ 1,y) | x = K(z,y). (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). T(K(x,y),((y * x) \ y) \ 1) = (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)). (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),((x * y) \ x) \ 1). x != T(K(y,z),((z * y) \ z) \ 1) | x = T(K(y,z),y). (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),y). K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). (x \ y) \ L(1 / (y \ x),y \ x,y) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). x != ((T(y,z) \ y) / y) * K(y \ 1,y) | x = (y \ 1) * (T(y,z) \ y). (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = (x \ 1) * (T(x,y) \ x). (1 / x) * ((T(x,y) \ x) * K(x \ 1,x)) = (x \ 1) * (T(x,y) \ x). (1 / x) * (T(x,y) \ (1 / (1 / x))) = (x \ 1) * (T(x,y) \ x). (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). T(x,y) \ 1 = (x \ 1) * (T(x,y) \ x). (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. x * y != (1 / z) * ((T(z,u) \ 1) * z) | x \ (T(z,u) \ 1) = y. (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. x \ (T(1 / x,y) \ 1) = T(1 / x,y) \ (1 / x). T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). x != (y \ 1) \ (T(y,z) \ 1) | x = 1 / (y \ T(y,z)). T(x,y) \ x = 1 / (x \ T(x,y)). 1 / (x \ T(x,y)) = T(x,y) \ x. x != (y \ 1) \ (T(y,z) \ 1) | x = (y \ T(y,z)) \ 1. T(x,y) \ x = (x \ T(x,y)) \ 1. (x \ T(x,y)) \ 1 = T(x,y) \ x. x * ((T(x,y) \ x) \ 1) = T(x,y). (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). ((x / y) \ (y \ x)) \ 1 = T(x / y,y) \ (x / y). T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. (x * T(x \ 1,y)) \ 1 = T(1 / x,y) \ (1 / x). (x \ (x * K(x,y))) \ 1 = T(x,R(y,x,(y * x) \ x)) \ x. T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. (x \ y) \ (y / x) = ((y / x) \ (x \ y)) \ 1. ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). (((x * y) / x) \ y) \ 1 = (x \ (x * y)) \ ((x * y) / x). (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. x != T(1 / y,z) \ (1 / y) | x = y \ (T(1 / y,z) \ 1). (x * T(x \ 1,y)) \ 1 = x \ (T(1 / x,y) \ 1). x \ ((y * x) / y) = (((y * x) / y) \ x) \ 1. (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). x != y * (z * R(z \ (y \ (u * z)),w,v5)) | x = (y * R(y \ u,w,v5)) * z. K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. x != y * (z * L(z \ (y \ (u * z)),w,v5)) | x = (y * L(y \ u,w,v5)) * z. K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. x != R(R(y,z,u),w,v5) * (z * u) | x = (R(y,w,v5) * z) * u. (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). L(T(x,y),y,K(z,z \ 1)) = R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)). R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = L(T(x,y),y,K(z,z \ 1)). L(T(x,y),y,K(z \ 1,z)) = R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)). R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). ((x \ y) / y) * R(x,z,u) = R(x,z,u) / (((x \ y) / y) \ 1). R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). x != T(y,y \ 1) \ (K(y,y \ 1) * z) | x = L(y \ z,y,K(y,y \ 1)). K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). K(x,x \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). K(x,x \ 1) * (((x \ 1) \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). L(x \ y,x,K(x,x \ 1)) = K(x,x \ 1) * (((x \ 1) \ 1) \ y). x != T(T(y,z) * ((T(y,z) / y) \ (1 / y)),T(y,z)) | x = T(y,z) * ((T(y,z) / y) \ (1 / y)). T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). x != T(y,z) * (T(u / (u / y),z) \ 1) | x = T(u / (u / y),z) \ T(y,z). T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). T(1 / (1 / x),y) \ T(x,y) != z | K(T(x,y),T(x,y) \ 1) = z. L(x \ x,y,z) = K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)). K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). x != L(1,y,z) | x = 1. K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. x * 1 = ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)). ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. x != y * (x * L(x \ 1,z,u)) | (x * L(x \ 1,z,u)) \ x = y. x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). K(R(x,y,z),x \ 1) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). (x \ 1) * K(R(x,y,z),x \ 1) = (x \ R(x,y,z)) / R(x,y,z). (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). (x \ 1) * K(R(x,y,z),x \ 1) != u | u = (x \ R(x,y,z)) / R(x,y,z). (x \ 1) * K(R(x,y,z),x \ 1) != u | (x \ R(x,y,z)) / R(x,y,z) = u. (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | u = K(R(x,y,z),x \ 1). (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). K((1 / x) \ (T(x,y) / x),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). T(K(T(x,y),1 / x),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). x != T(y,z) * ((T(y,z) \ T(y,u)) / T(y,u)) | x = K(T(y,u),1 / T(y,z)). T(K(T(x,y),1 / x),z) = K(T(x,y),1 / T(x,z)). K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). x != L(1 / (y \ z),y \ z,y) * ((z \ y) \ 1) | x = (z \ y) \ L(1 / (y \ z),y \ z,y). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). x != ((y \ z) \ 1) * ((((y \ z) \ 1) \ (z \ y)) / (z \ y)) | x = (y \ z) \ L(1 / (z \ y),z \ y,z). K(x \ y,y \ x) = (y \ x) \ L(1 / (x \ y),x \ y,x). (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). x != L(1 / (y \ z),y \ z,y) | x = 1 / (1 / (z \ y)). (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). x * y != 1 / (1 / x) | y = K(x \ 1,x). K(x \ y,y \ x) = K((y \ x) \ 1,y \ x). K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). x != K(((y * z) \ y) \ 1,(y * z) \ y) | x = L(K(z,z \ 1),z,y). K(x,(y * x) \ y) = L(K(x,x \ 1),x,y). L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). x != K(y,(z * y) \ z) | x = K(y,y \ 1). L(K(x,x \ 1),x,y) = K(x,x \ 1). K((x * y) \ x,y) = K(y,(x * y) \ x) \ 1. K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). x != K(y,(z * y) \ z) \ 1 | x = K(y \ 1,y). K((x * y) \ x,y) = K(y \ 1,y). K(x \ (x / y),y) = K(y \ 1,y). K((x * y) \ y,T(x,y)) = K(T(x,y) \ 1,T(x,y)). K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). K(((x * y) / x) \ T(x,y),T(y / x,T(x,y))) = K(T(y / x,T(x,y)) \ 1,T(y / x,T(x,y))). K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,y \ (x * y)). K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). x != K(1 / y,(1 / y) \ 1) | x = K(y \ 1,y). L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). (x * (y \ 1)) / K(y \ 1,y) = x * (1 / y). x / K(y \ 1,y) = (x / (y \ 1)) * (1 / y). (x / (y \ 1)) * (1 / y) = x / K(y \ 1,y). R(x,y \ 1,y) / y = x * (1 / y). x / (1 / y) = (x * K(y \ 1,y)) / (y \ 1). (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). (x * (1 / y)) * y = R(x,y \ 1,y). R(x,y \ 1,y) = R(x,1 / y,y). R(x,1 / y,y) = R(x,y \ 1,y). x * y = R(x / (1 / y),y \ 1,y). R(x / (1 / y),y \ 1,y) = x * y. ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). R(x,1 / y,K(y \ 1,y)) = x. R(x,1 / (1 / y),K(y,y \ 1)) = x. x != R(y / (1 / (1 / z)),1 / (1 / z),K(z,z \ 1)) | x = (y * K(z,z \ 1)) / z. x / (1 / (1 / y)) = (x * K(y,y \ 1)) / y. (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). x * y = (x * (1 / (1 / y))) * K(y,y \ 1). (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. x != (y / (z / u)) * (u \ z) | x = (y * (u \ z)) / (z / u). x * K(y \ 1,y) = (x * (y \ 1)) / (1 / y). (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). x != ((y / (z \ u)) / (u / z)) * (z \ u) | x = y / (u / z). (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). x != (y * K(z,z \ 1)) / z | x = (y / z) * K(z,z \ 1). x / (1 / (1 / y)) = (x / y) * K(y,y \ 1). (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). x * y != z * K(y,y \ 1) | x * (1 / (1 / y)) = z. x * K(y,y \ 1) != z * y | z * (1 / (1 / y)) = x. (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. x != (y / z) * K(z,z \ 1) | x = y * (1 / (1 / (y \ (y / z)))). x / (1 / (1 / y)) = x * (1 / (1 / (x \ (x / y)))). x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). x * y != (z / u) * K(u,u \ 1) | x \ (z / (1 / (1 / u))) = y. x \ (x / (1 / (1 / y))) = 1 / (1 / (x \ (x / y))). 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). x * (1 / (1 / (x \ y))) = x / (1 / (1 / (y \ x))). x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). (x \ (x / y)) \ 1 = 1 / (x \ (x / ((y \ 1) \ 1))). 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). x / L(y,y \ 1,x) = x * (1 / y). K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). x != K(y \ (y / L(z,u,w)),y) | x = L(z * T(z \ 1,y),u,w). K(1 / x,y) = L(x * T(x \ 1,y),x \ 1,y). L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). (x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)). ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). x != ((y \ (y / z)) \ 1) \ 1 | x = T(y \ (y / z),z). x \ (x / ((y \ 1) \ 1)) = T(x \ (x / y),y). T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). x * K(y \ 1,y) = (x * y) / ((y \ 1) \ 1). (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. x != y * K(z \ 1,z) | x = K(z \ 1,z) * y. (x / ((y \ 1) \ 1)) * y = K(y \ 1,y) * x. x * y = (x * ((y \ 1) \ 1)) * K(y \ 1,y). (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. (x \ T(x * y,z)) * x = T(y * ((x \ 1) \ 1),z) * K(x \ 1,x). T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. x * y = K(y \ 1,y) * (x * T(y,y \ 1)). K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). x * y != z * ((y \ 1) \ 1) | K(y \ 1,y) * x = z. x * ((y \ 1) \ 1) != z * y | K(y \ 1,y) * z = x. R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). x != R(y,z \ 1,z) | x = R(y,1 / z,z). R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). (x * y) * K(y,y \ 1) = x * T(y,y \ 1). K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). x * K(y,y \ 1) = (x / y) * ((y \ 1) \ 1). (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). x != (y * z) * K(z,z \ 1) | x = (y * K(z,z \ 1)) * z. x * ((y \ 1) \ 1) = (x * K(y,y \ 1)) * y. (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). K(x,x \ 1) * (y * x) = y * T(x,x \ 1). x * K(y,y \ 1) = (x / y) * T(y,y \ 1). (x / y) * T(y,y \ 1) = x * K(y,y \ 1). (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). x * y != (T(z,u) \ 1) * ((z \ 1) \ 1) | (T(z,u) \ z) / y = x. (T(x,y) \ x) / x = (T(x,y) \ 1) * K(x,x \ 1). (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. x * y != (z * (y \ 1)) * ((y \ 1) \ 1) | x = z * (1 / y). (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). x * y != (K(y \ 1,y) * z) * ((y \ 1) \ 1) | x = z. (K(x \ 1,x) * y) * K(x,x \ 1) = y. x * y != (z * K(y \ 1,y)) * ((y \ 1) \ 1) | x = z. (x * K(y \ 1,y)) * K(y,y \ 1) = x. K(x \ 1,x) * (y * K(x,x \ 1)) = y. x * (1 / (1 / y)) = K(y \ 1,y) * (x * y). K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). K(x,x \ 1) * (K(x \ 1,x) * y) = y. x * K(y,y \ 1) != z / (y * z) | x = R(y \ 1,y,z). K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). x * K(y,y \ 1) != K(y,y \ 1) * z | x = z. K(x \ 1,x) * (K(x,x \ 1) * y) = y. x * y != (K(z \ 1,z) * u) * K(z,z \ 1) | x \ u = y. K(x,x \ 1) \ y = K(x \ 1,x) * y. K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. K(x,x \ 1) * (y * K(x \ 1,x)) = y. x * K(y,y \ 1) = x / K(y \ 1,y). x / K(y \ 1,y) = x * K(y,y \ 1). (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). x * K(y,y \ 1) != z / (1 / (1 / y)) | x = z / y. (x / (1 / (1 / y))) * K(y \ 1,y) = x / y. K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. x != K(y \ 1,y) * z | x * K(y,y \ 1) = z. K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). K(x,x \ 1) * y = K(x \ 1,x) \ y. K(x \ 1,x) \ y = K(x,x \ 1) * y. x != K(y \ 1,y) * z | K(y,y \ 1) * x = z. K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. x != y * K(z \ 1,z) | y = K(z,z \ 1) * x. y * K(z \ 1,z) != x | y = K(z,z \ 1) * x. x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. x != y / K(z \ 1,z) | x = (y / (z \ 1)) * (1 / z). x * K(y,y \ 1) = (x / (y \ 1)) * (1 / y). (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). a((x * y) \ 1,x,y) = K(x * y,(x * y) \ 1) * ((((x * y) \ 1) * x) * y). K(x * y,(x * y) \ 1) * ((((x * y) \ 1) * x) * y) = a((x * y) \ 1,x,y). K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. (K(x,x \ 1) * y) * x = y * T(x,x \ 1). ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). x * (y / (z * y)) != R(z \ 1,z,y) | x = K(y / (z * y),z). K(x \ 1,x) = K(y / (x * y),x). K(x / (y * x),y) = K(y \ 1,y). K(x / y,y / x) = K((y / x) \ 1,y / x). K((x / y) \ 1,x / y) = K(y / x,x / y). K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). (T(x,y) \ 1) * z != (T(x,y) \ x) / x | z = K(x,T(x,y) \ 1). K(x,x \ 1) = K(x,T(x,y) \ 1). K(x,T(x,y) \ 1) = K(x,x \ 1). x != K(y,y \ 1) | x = T(K(y,y \ 1),z). K(x,T(x,y) \ 1) = T(K(x,x \ 1),z). T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). x * K(T(y,x) \ 1,T(y,x)) = (y * x) * ((((y * x) \ x) \ 1) \ 1). (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). (x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)). x != T(K(T(y,z),1 / y),u) | x = K(T(y,z),1 / T(y,u)). K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)). ((1 / (1 / x)) * y) \ y = 1 / (1 / ((x * y) \ y)). 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). (((1 / x) * y) \ y) \ 1 = 1 / (((x \ 1) * y) \ y). 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. x != K(y,T(y,z) \ 1) | x = K(y,y \ 1). K(T(x,y),1 / T(x,z)) = K(T(x,y),T(x,y) \ 1). K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). x != K(T(y,z),T(y,z) \ 1) | x = K(T(y,z),1 / y). K(T(x,y),x \ 1) = K(T(x,y),1 / x). K(T(x,y),1 / x) = K(T(x,y),x \ 1). L(T(x,y) / x,x,y) = K(1 / (1 / x),y). x != L(T(y,z) / y,y,z) | x = (y * K(y,z)) / y. K(1 / (1 / x),y) = (x * K(x,y)) / x. T(K(1 / (1 / x),y),x) = K(x,y). R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). x != y * ((T(z,y) \ 1) \ 1) | x = ((z \ 1) \ 1) * y. (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. x * T((T(y,x) \ 1) \ 1,z) = (T(y,z) * x) * K(T(T(y,x),z),T(T(y,x),z) \ 1). (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y). K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y). (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). x != K(y \ z,T(y / z,T(z,y))) | x = K(y \ z,z \ y). K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). ((x * y) * (1 / z)) / (y * (1 / z)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,(z \ 1) \ 1)) = R(x,y,1 / (z \ 1)). R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). K(x,y / (x * y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). x != K(T(y,R(y \ 1,y,z)),R(y \ 1,y,z)) | x = y \ T(y,z / (y * z)). K(x,y / (x * y)) = x \ T(x,y / (x * y)). x \ T(x,y / (x * y)) = K(x,y / (x * y)). x != y \ T(y,z / (y * z)) | x = K(y,y \ 1). K(x,y / (x * y)) = K(x,x \ 1). x != K(y,z / (y * z)) | x = K((z / (y * z)) \ 1,z / (y * z)). K(x,x \ 1) = K((y / (x * y)) \ 1,y / (x * y)). K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). K(x / y,y / x) = K(x / y,(x / y) \ 1). K(x / y,(x / y) \ 1) = K(x / y,y / x). x != K(y / z,z / y) | x = K((z / y) \ 1,z / y). K(x / y,(x / y) \ 1) = K((y / x) \ 1,y / x). K((x / y) \ 1,x / y) = K(y / x,(y / x) \ 1). K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. K(x \ 1,x) * (T(x,x \ 1) * y) = x * y. (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. L(x,y,K(y,y \ 1)) = x. x * y != K(z,z \ 1) * (z * u) | (T(z,z \ 1) * u) / y = x. (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. x != L(y,z,K(z,z \ 1)) | x = L(y,K(z,z \ 1),z). x = L(x,K(y,y \ 1),y). L(x,K(y,y \ 1),y) = x. x != L(y \ z,y,K(y,y \ 1)) | x = K(y,y \ 1) * (((y \ 1) \ 1) \ z). x \ y = K(x,x \ 1) * (((x \ 1) \ 1) \ y). K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. x != L(y,1 / (1 / z),K(1 / (1 / z),(1 / (1 / z)) \ 1)) | x = L(y,K(z,z \ 1),1 / (1 / z)). x = L(x,K(y,y \ 1),1 / (1 / y)). L(x,K(y,y \ 1),1 / (1 / y)) = x. x != L(y,1 / z,K(1 / z,(1 / z) \ 1)) | x = L(y,K(z \ 1,z),1 / z). x = L(x,K(y \ 1,y),1 / y). L(x,K(y \ 1,y),1 / y) = x. L(x,1 / y,K(1 / y,y)) = x. L(x,1 / y,K(y \ 1,y)) = x. x != L(K(y,y \ 1) \ z,K(y,y \ 1),y) | x = y * (((y \ 1) \ 1) \ z). K(x,x \ 1) \ y = x * (((x \ 1) \ 1) \ y). x * (((x \ 1) \ 1) \ y) = K(x,x \ 1) \ y. (1 / x) * (x * y) = L(y,x,x \ 1). L(x,y,1 / y) = L(x,y,y \ 1). (x \ 1) * y = (1 / x) * (K(x \ 1,x) * y). (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. L(x,1 / (1 / y),K(y,y \ 1)) = x. x != L((1 / y) \ z,1 / y,K(y \ 1,y)) | x = K(y \ 1,y) * ((y \ 1) \ z). (1 / x) \ y = K(x \ 1,x) * ((x \ 1) \ y). K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. (x \ 1) * y = K(x \ 1,x) * ((1 / x) * y). K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. L(x \ y,x,x \ 1) = (1 / x) * y. x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. x * y = (1 / (1 / x)) * (K(x,x \ 1) * y). (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. (1 / x) * L(y,x \ 1,x) = L((x \ 1) * y,x,x \ 1). L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). x * y = K(x,x \ 1) * ((1 / (1 / x)) * y). K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. T(x,(1 / x) * y) = T(x,(x \ 1) * y). x * y = T(x,x \ 1) * (K(x \ 1,x) * y). T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. x != (y * z) * K(y,y \ 1) | x = y * (z * K(y,y \ 1)). T(x,x \ 1) * y = x * (y * K(x,x \ 1)). x * (y * K(x,x \ 1)) = T(x,x \ 1) * y. T(x,x \ 1) \ y = x \ (y * K(x \ 1,x)). x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. R(x,K(x,x \ 1),y) = x. R(1 / x,K(x \ 1,x),y) = 1 / x. (1 / x) * T(R(1 / x,K(x \ 1,x),y) \ 1,z) = R((1 / x) * T((1 / x) \ 1,z),K(x \ 1,x),y). R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. (x \ y) * x = (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1). (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. x * y != K(z,z \ 1) \ u | x \ (K(z \ 1,z) * u) = y. x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. x != y * (K(z \ 1,z) * u) | x = y * (u * K(z \ 1,z)). (x \ 1) * y = (1 / x) * (y * K(x \ 1,x)). (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. (1 / x) * y = (x \ 1) * (K(x,x \ 1) * y). (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. R(x,K(y \ 1,y),(1 / y) * z) = ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z). ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). (1 / (1 / x)) * y = x * (K(x \ 1,x) * y). x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. (1 / (1 / x)) * y = x * (y * K(x \ 1,x)). x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). x * y = ((x \ 1) \ 1) * (K(x \ 1,x) * y). ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). (x * y) * z != ((x \ 1) \ 1) * y | z = K(T(x,y),x \ 1). K(x,x \ 1) = K(T(x,y),x \ 1). K(T(x,y),x \ 1) = K(x,x \ 1). x != K(T(y,z),y \ 1) | x = K(T(y,z),T(y,z) \ 1). K(x,x \ 1) = K(T(x,y),T(x,y) \ 1). K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). x * y != K(T(z,u),T(z,u) \ 1) | x \ K(z,z \ 1) = y. T(x,y) \ K(x,x \ 1) = 1 / T(x,y). (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. x * (T(x,y) \ (1 / x)) = 1 / T(x,y). x != T(y,z) \ K(y,y \ 1) | x = (T(y,z) \ y) / y. 1 / T(x,y) = (T(x,y) \ x) / x. (T(x,y) \ x) / x = 1 / T(x,y). (1 / T(x,y)) * x = T(x,y) \ x. x / T(x,y) = T(x,y) \ x. x * y != T(x,z) \ x | T(1 / T(x,z),x) = y. T(1 / T(x,y),x) = T(x,y) \ 1. x != y / T(y,z) | x = K(y \ (y / ((z \ y) / T(y,z))),y). T(x,y) \ x = K(x \ (x / ((y \ x) / T(x,y))),x). K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. (T(x,y) \ x) * T(x,y) = x. (T(x,y) \ x) \ x = T(x,y). x != (T(y,z) \ y) * T(y,z) | x = L(y,T(y,z) \ y,y). x = L(x,T(x,y) \ x,x). L(x,T(x,y) \ x,x) = x. x * y = (y * x) * T(K(x,y),y). (x * y) * T(K(y,x),x) = y * x. x != T(1 / T(y,z),y) | x = K(y \ 1,y) / T(y,z). T(x,y) \ 1 = K(x \ 1,x) / T(x,y). K(x \ 1,x) / T(x,y) = T(x,y) \ 1. K(x,y) = T(K(x,y),y). T(K(x,y),y) = K(x,y). T(x,K(y,x)) = x. x * K(y,x) = K(y,x) * x. K(x,y) * y = y * K(x,y). (x * K(y,x)) / x = K(y,x). x * L(K(y,x),z,u) = L(K(y,x),z,u) * x. L(K(x,y),z,u) * y = y * L(K(x,y),z,u). T(x,y) = T(T(x,y),K(z,x)). T(T(x,y),K(z,x)) = T(x,y). K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. T(x,y * T(y \ 1,x)) = x. T(x,y \ T(y,x)) = x. T(x,x \ ((y * x) / y)) = x. (x * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). (x \ T(x,y)) * y = y * (x \ T(x,y)). (x \ T(x,y)) * T(y,z) != u | T(y,z) * (x \ T(x,y)) = u. R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. ((x * K(y,z)) * z) / (z * K(y,z)) != u | R(x,K(y,z),z) = u. x != (y * K(z,y)) / y | x = L(K(z,y),y,1 / y). K(x,y) = L(K(x,y),y,1 / y). L(K(x,y),y,1 / y) = K(x,y). x != (y * K(T(z,y),y)) / y | x = L((T(z,y) * (z \ y)) / y,y,z). K(T(x,y),y) = L((T(x,y) * (x \ y)) / y,y,x). L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). T(K(x,y),T(y,z)) = K(x,y). T(x * T(x \ 1,y),y) = x * T(x \ 1,y). ((x * y) / x) / y = y \ ((x * y) / x). K(K(x,y),T(y,z)) = 1. K(x \ T(x,y),T(y,z)) = 1. T(x \ T(x,y),T(y,z)) = x \ T(x,y). (1 / x) * (x * K(y,x)) = K(y,x). x * y != (1 / z) * (z * K(u,z)) | x \ K(u,z) = y. x \ K(y,x \ 1) = (x \ 1) * K(y,x \ 1). (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x). x * (((y * x) / y) / x) = (y * x) / y. R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ (((x / y) * R(y,z,u)) / (x / y)). R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. x != K(T(y,z) \ 1,T(y,z)) | x = K((y * z) \ z,z \ (y * z)). K(x \ 1,x) = K((x * y) \ y,y \ (x * y)). K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). x != K(T(y / z,T(z,y)) \ 1,T(y / z,T(z,y))) | x = K(y \ z,z \ y). K((x / y) \ 1,x / y) = K(x \ y,y \ x). T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. x * K(y \ 1,y) = ((y \ 1) \ 1) \ (y * x). ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). x != K(y \ 1,y) * (y \ z) | x = z * T(z \ (y \ z),y). ((x \ 1) \ 1) \ y = y * T(y \ (x \ y),x). x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. x \ ((1 / x) \ y) = ((x \ 1) \ 1) \ ((x \ 1) \ y). ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). K(x,x \ 1) * y = (1 / x) * ((x \ 1) \ y). (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. x * ((1 / x) * y) = L(K(x,x \ 1) * y,x \ 1,x). L(K(x,x \ 1) * y,x \ 1,x) = x * ((1 / x) * y). x != K(y \ 1,y) * z | x = z * K(y \ 1,y). (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). (x \ 1) * (x * ((y * (x \ z)) / y)) = K(x \ 1,x) * ((y * ((1 / x) * z)) / y). K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). x \ L(y,1 / x,x) = (x \ 1) * y. (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. L(x,1 / y,y) = L(x,y \ 1,y). L(x,y,y \ 1) = L(x,(y \ 1) \ 1,y \ 1). L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). x * y != ((z \ 1) * u) * K(z,z \ 1) | ((1 / z) * u) / y = x. ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). K(x \ 1,x) * y = (1 / (1 / x)) * (x \ y). (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. x * (y / x) = (1 / (1 / x)) * (y / (1 / (1 / x))). (1 / (1 / x)) * (y / (1 / (1 / x))) = x * (y / x). ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). T(x,L(K(y,x),z,u)) = x. x * (y * T(y \ 1,x)) = y * ((x \ (y \ x)) * x). x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. x * K(y \ 1,y) != T(1 / (1 / y),z) | x = y * (T(y,z) / y). T(x,y) = x * (T(x,y) / x). x * (T(x,y) / x) = T(x,y). x \ T(x,y) = T(x,y) / x. T(x,y) / x = x \ T(x,y). (x \ T(x,y)) * x = T(x,y). x \ ((y * x) / y) = y \ T(y,R(x,x \ 1,y)). x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). (1 / x) * T(x,y) = x \ T(x,y). (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). x * T(x \ 1,y) = (x \ 1) \ T(x \ 1,y). (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). (x \ T(x,y)) * x != z | z = T(x,y). (x \ T(x,y)) * x != z | T(x,y) = z. R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). T(x,x \ T(x,y)) = x. x != (y \ T(y,y / (y * z))) * y | x = T(y,R(1 / z,z,y)). T(x,x / (x * y)) = T(x,R(1 / y,y,x)). T(x,R(1 / y,y,x)) = T(x,x / (x * y)). L(x,y,y \ T(y,z)) = T(y,z) \ ((y \ T(y,z)) * (y * x)). T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). (x \ ((x \ y) \ y)) * x = T(x,x \ y). T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). R(x,y \ T(y,z),y) * T(y,z) = (x * (y \ T(y,z))) * y. (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. K(x \ (x / (y \ 1)),x) * y = T(y,x). T(x,y) = K(y \ (y / (x \ 1)),y) * x. T(x,y) / (x \ T(x,y)) = L(x,x \ T(x,y),x). L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). K(x,x \ T(x,y)) = 1. T(x,K(y \ (y / (x \ 1)),y)) = x. K(x,T(x,y) / x) = 1. x * y != K(z,T(z,u) / z) | x \ 1 = y. x \ 1 = T(1 / x,T(x,y)). T(1 / x,T(x,y)) = x \ 1. T(1 / (1 / x),T(1 / x,y)) = x. x != T(1 / y,T(y,R(z,z \ 1,y))) | x = L(y \ 1,y,z \ ((y * z) / y)). x \ 1 = L(x \ 1,x,y \ ((x * y) / x)). L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. T(x \ 1,x) = T(x \ 1,T(x,y)). T(x \ 1,T(x,y)) = T(x \ 1,x). T(x / (y * x),T(y,z)) = R(y \ 1,y,x). K(x \ 1,T(x,y)) = x * T(x \ 1,T(x,y)). x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). x != T((y * z) / y,K(y \ (y / (((y * z) / y) \ 1)),y)) | x = (((y * z) / y) \ z) \ z. (x * y) / x = (((x * y) / x) \ y) \ y. (((x * y) / x) \ y) \ y = (x * y) / x. T(x,x \ 1) = T(x,T(1 / x,y)). T(x,T(1 / x,y)) = T(x,x \ 1). T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,K(x \ (x / (y \ 1)),x) * y). (((x * y) / x) \ y) * ((x * y) / x) = y. (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). T(x,x / (y * x)) = T(x,x / (x * y)). L(x \ 1,x,T(y,x) \ y) = x \ 1. x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. (x \ 1) * y = L(((x \ 1) \ 1) \ y,x,x \ 1). L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. x != K(y \ 1,y) * (z * y) | x = z * (1 / (1 / y)). (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). K(x \ 1,y) = L(x * T(x \ 1,y),x \ 1,y). L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). x * T(x \ 1,x) = K(x \ 1,T(x,y)). K(x \ 1,T(x,y)) = x * T(x \ 1,x). x != y * T(y \ 1,y) | x = K(y \ 1,y). K(x \ 1,T(x,y)) = K(x \ 1,x). R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). 1 / (x \ ((y * x) / y)) = T(y,R(x,x \ 1,y)) \ y. T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). T(x,y \ ((x * y) / x)) = x. T(x,T(y,x) \ y) = x. (T(x,y) \ x) * y = y * (T(x,y) \ x). x != (T(y,z) \ y) * z | x = T(z,R(T(y,z),T(y,z) \ 1,z)). x * (T(y,x) \ y) = T(x,R(T(y,x),T(y,x) \ 1,x)). T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). x \ ((x * (T(y,x) \ y)) \ x) = ((T(y,x) \ y) * x) \ 1. (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. x != y / (z \ y) | x = z. L(x,x \ T(x,y),x) = x. L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). x != L(y * T(y \ 1,z),y \ 1,z) | x = K(1 / y,z). K(x \ 1,y) = K(1 / x,y). K(1 / x,y) = K(x \ 1,y). x != K((y / z) \ y,u) | x = K(z,u). K(1 / (1 / x),y) = K(x,y). x != K(1 / y,(1 / y) \ (z / y)) | x = (T(z,1 / y) / y) \ (z / y). K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). K(x,y) = K((x \ 1) \ 1,y). K((x \ 1) \ 1,y) = K(x,y). T(K(x,y),x) = K(x,y). T(x,K(x,y)) = x. x != T(K(y,z),y) | x = (((z * y) \ z) \ 1) \ (((z * y) \ z) \ K(y,z)). K(x,y) = (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)). (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). T(x,y) = T(T(x,y),K(x,z)). T(T(x,y),K(x,z)) = T(x,y). K(x,y) * x != z | x * K(x,y) = z. K(((x \ 1) * y) \ y,z) = K(((1 / x) * y) \ y,z). K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). T(K(x,y),T(x,z)) = K(x,y). T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. x != K((y / z) \ 1,y / z) | x = K(y \ z,z \ y). K(x / y,(x / y) \ 1) = K(y \ x,x \ y). x != K((y * z) \ z,z \ (y * z)) | x = K(y \ 1,y). K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). T(x \ 1,T(x,y) \ x) = x \ 1. ((1 / x) * (T(x,y) \ x)) * x = R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x). R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. T(T(x,y) \ x,x \ 1) = T(x,y) \ x. (T(x,y) \ x) * (x \ 1) = (x \ 1) * (T(x,y) \ x). x * y != (z * x) * K(x,z) | y = z. (K(x,y) \ y) * K(x,y) = y. x / K(y,x) = K(y,x) \ x. ((x \ (1 / (1 / y))) * x) * (1 / y) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. x * T(1 / x,y) = ((x \ 1) \ 1) * T(x \ 1,y). ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). x * y != z * (((z \ (u \ z)) \ 1) \ 1) | (((u \ 1) \ 1) \ z) / y = x. (((x \ 1) \ 1) \ y) / y = (((x \ y) / y) \ 1) \ 1. x * (((x \ y) \ 1) \ 1) = (((x / y) \ 1) \ 1) \ x. (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). T(x,y) = T(x,1 / (1 / y)). T(x,1 / (1 / y)) = T(x,y). T(x,1 / y) = T(x,y \ 1). T(x,y) = T(x,(y \ 1) \ 1). T(x,(y \ 1) \ 1) = T(x,y). x != T(((1 / y) * z) * y,1 / y) | x = R(z,1 / y,y). T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). T(x,T(y,y \ 1)) = T(x,y). T(x,T(y \ 1,y)) = T(x,y \ 1). T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). x != (y * T(y \ 1,z)) \ 1 | x = y \ (T(1 / y,z) \ 1). T(x \ 1,y) \ (x \ 1) = x \ (T(1 / x,y) \ 1). K(x,y) \ 1 = T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1). T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. (x \ (y * T(y \ x,z))) \ 1 = T((x \ y) \ 1,z) \ ((x \ y) \ 1). T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. x != (y \ 1) * (T(y,z) \ y) | x = T(y,z) \ 1. (T(x,y) \ x) * (x \ 1) = T(x,y) \ 1. (1 / x) * (T(x,y) \ x) = (x \ 1) * (x * (1 / T(x,y))). (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). ((x \ 1) \ y) / y = ((((1 / x) \ y) / y) \ 1) \ 1. ((((1 / x) \ y) / y) \ 1) \ 1 = ((x \ 1) \ y) / y. x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. x != 1 / (y \ ((z * y) / z)) | x = ((z * y) / z) \ y. T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). (x * (T(y,x) \ y)) \ x = y \ T(y,x). x / (y \ T(y,x)) = x * (T(y,x) \ y). x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. x \ ((x * (T(y,x) \ y)) \ x) = (x * (T(y,x) \ y)) \ 1. x != K(y \ 1,y) * (z / (y * z)) | x = R(y \ 1,y,z). ((x / (y * x)) \ 1) \ 1 = R(y \ 1,y,x). R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. x != ((y / (z * y)) \ 1) \ 1 | x = y / (((z \ 1) \ 1) * y). R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). x != y / ((z \ 1) * y) | x = R(z,z \ 1,y). R(x \ 1,x,y) = R(x \ 1,(x \ 1) \ 1,y). R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. x != T(y,y / (z * y)) | x = T(y,y / (y * z)). T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). T(x,R(y \ 1,y,z)) = T(x,R(1 / y,y,z)). T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. x != T(y,R(1 / z,z,y)) | x = (z * ((y * (z \ 1)) / y)) * y. T(x,R(y \ 1,y,x)) = (y * ((x * (y \ 1)) / x)) * x. (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). R(x,1 / x,y) \ y = (x \ 1) * y. x / ((y \ 1) * x) = R(y,1 / y,x). R(x,1 / x,y) = y / ((x \ 1) * y). R(x,1 / x,y) = R(x,x \ 1,y). L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). x != (y * ((z * (y \ 1)) / z)) * (y * u) | x = y * ((y * ((z * (y \ 1)) / z)) * u). T(x * y,R(x \ 1,x,x * y)) = x * ((x * (((x * y) * (x \ 1)) / (x * y))) * y). x * ((x * (((x * y) * (x \ 1)) / (x * y))) * y) = T(x * y,R(x \ 1,x,x * y)). (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,(x \ 1) \ 1,y)). T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. ((1 / x) * (T(x,y) \ x)) * x = L((1 / T(x,y)) * x,x \ 1,x). L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. x * y != z * (z \ u) | x \ u = y. T(x,y) \ z = K(x \ 1,x) * (T(1 / (1 / x),y) \ z). K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. x \ (y \ T(y,x)) = (x * (T(y,x) \ y)) \ 1. (x * (T(y,x) \ y)) \ 1 = x \ (y \ T(y,x)). (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). x * L(y,x,x \ T(x,z)) = L(x * y,x \ T(x,z),x). L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). L(x,y \ T(y,z),y) = y * L(y \ x,y,y \ T(y,z)). x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u. x != T(y,z) * L(T(y,z) \ u,w,v5) | x = T(y * L(y \ ((z * u) / z),w,v5),z). (x \ T(x,y)) * (x * (T(x,y) \ z)) = T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y). T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). x != L(R(y,z,u),y \ 1,y) | x = R(1 / (1 / y),z,u). R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). x != R(1 / y,y,y \ z) | x = (y \ z) / z. R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). x != (T(y,z) \ y) * z | x = z * (T(y,z) \ y). (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). x * y != (x * (z \ T(z,x))) \ (x * u) | y = (x * (z \ T(z,x))) \ u. T(x,y) \ x = (y * (x \ T(x,y))) \ y. (x * (y \ T(y,x))) \ x = T(y,x) \ y. (x * (y \ T(y,x))) * (T(y,x) \ y) = x. R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. L(T(x,y) \ x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). L(x \ 1,x,K(y,x) \ 1) = x \ 1. T(x,K(y,x) \ 1) = x. (K(x,y) \ 1) * y = y * (K(x,y) \ 1). L(x \ 1,x,K(y,x) \ 1) = (x * (K(y,x) \ 1)) \ (K(y,x) \ 1). (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). x != L(y \ 1,y,K(z,y) \ 1) | x = y \ 1. (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. K(x,x \ 1) * y = T(x \ 1,z) \ (T(1 / x,z) * y). T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). T(x \ 1,y) * ((x \ 1) \ z) = T(1 / x,y) * ((1 / x) \ z). T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. ((1 / x) * T((1 / x) \ 1,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ (K(x \ 1,x) * y),(x \ 1) * y). x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). (1 / x) * y != (x \ 1) * z | y = K(x \ 1,x) * z. T(x \ 1,y) * z = K(x \ 1,x) * (T(1 / x,y) * z). K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. x * y != (1 / z) * (T(z \ 1,u) * ((z \ 1) \ w)) | (T(1 / z,u) * w) / y = x. (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = R((y \ (1 / (1 / x))) * y,1 / x,(1 / x) \ 1) / ((1 / x) \ 1). R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. x != ((1 / y) * (T(y,z) \ y)) * y | x = L(T(y,z) \ y,y \ 1,y). R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). x * ((x * y) * (y / (x * y))) = T(x * y,R(x \ 1,x,x * y)). T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. (x * y) \ (y * x) = K(K(x \ 1,x) * y,(x \ 1) \ 1). K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x). K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x). R(x,y,z) \ R(u / (u / x),y,z) = R(u / (u / x),y,z) / R(x,y,z). R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). x != R(1 / (1 / y),z,u) / R(y,z,u) | x = y * T(y \ 1,R(y,z,u)). R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(y \ (y * z),x \ T(x,y),x). L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). L(x,y \ T(y,z),y) = (y \ T(y,z)) * (y * (T(y,z) \ x)). (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). x * y != L(z,z \ T(z,u),z) | x \ z = y. (x \ T(x,y)) \ x = x * (T(x,y) \ x). (x \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x). (x \ T(x,y)) * (1 / T(x,y)) = L(1 / x,x \ T(x,y),x). L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). (x \ (x * K(x,y))) \ x = x * (T(x,R(y,x,(y * x) \ x)) \ x). x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. (x \ ((y * x) / y)) \ y = y * (T(y,R(x,x \ 1,y)) \ y). x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. T(x,T(y,x)) * (y \ T(y,x)) = L(x,y \ T(y,x),y). x != (y \ T(y,z)) * (1 / T(y,z)) | x = 1 / y. L(1 / x,x \ T(x,y),x) = 1 / x. x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). x * (((x * y) / x) \ y) = (y \ ((x * y) / x)) \ x. (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). (T(x,y) \ x) \ y = y * (((y * T(x,y)) / y) \ T(x,y)). x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. x * (y \ T(y,x)) = (T(y,x) \ y) \ x. (T(x,y) \ x) \ y = y * (x \ T(x,y)). (T(x,y) \ x) * (y * (x \ T(x,y))) = y. x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. x * (K(x,y) \ 1) = K(x,y) \ x. x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). x * ((x \ T(x,y)) * (x \ 1)) = (1 / x) * (x * (x \ T(x,y))). (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). (1 / x) * T(x,y) = L(x \ T(x,y),x \ 1,x). L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). x != (1 / y) * T(y,z) | x = y \ T(y,z). L(x \ T(x,y),x \ 1,x) = x \ T(x,y). L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). L(K(x,y),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). x \ (x * K(x,y)) = L(K(x,y),x \ 1,x). L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). L(K(x,y),x \ 1,x) = K(x,y). x * y != L(K(z,u),z \ 1,z) | x \ K(z,u) = y. x \ K(x,y) = (x \ 1) * K(x,y). (x \ 1) * K(x,y) = x \ K(x,y). K(x,y) * (x \ 1) = x \ K(x,y). K(x,y) \ (x \ K(x,y)) != z | z = x \ 1. K(x,y) \ (x \ K(x,y)) != z | x \ 1 = z. K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z. x != K(y,z) / (y \ 1) | x = y * K(y,z). T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). x != T(y,y / (y * z)) | x = T(y,y / (z * y)). R(x,y,z) * K(R(x,y,z),x \ 1) = T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))). T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). R(x,y,z) * K(R(x,y,z),x \ 1) = R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z). R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). R((x \ 1) \ 1,y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). x * y != R((z \ u) \ u,w,v5) | x \ R(T(z,z \ u),w,v5) = y. R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). x != R(y,z,u) \ R(T(y,y \ 1),z,u) | x = a(R(y,z,u),1 / y,y). K(R(x,y,z),x \ 1) = a(R(x,y,z),1 / x,x). a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). K(R(x,y,z),x \ 1) \ 1 = R(T(x,x \ 1),y,z) \ R(x,y,z). R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. x != K(R(y,z,u),y \ 1) | x = y * ((y \ R(y,z,u)) / R(y,z,u)). a(R(x,y,z),1 / x,x) = x * ((x \ R(x,y,z)) / R(x,y,z)). x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). x != (1 / y) * T((1 / y) \ 1,z) | x = y \ T(y,z). R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. ((x \ 1) * T(x,y)) * z = (x \ T(x,y)) * (z * K(x \ 1,x)). (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. ((x \ 1) * y) \ ((x \ 1) * (y * z)) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). (1 / x) * (y * x) != z * ((x * ((1 / x) * (y * x))) / x) | L(y,x,x \ 1) \ ((1 / x) * (y * x)) = z. x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. x / K(y,x) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). x != y / K(z,y) | x = K(z,y) \ y. x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). x * (K(y,x) \ 1) = x / K(y,x). x * (K(y,x) \ 1) = K(y,x) \ x. x * y != z * (K(u,z) \ 1) | x \ (K(u,z) \ z) = y. (K(x,y) \ 1) \ (K(x,y) \ y) = y. K(x,y) \ y != y * z | K(x,y) \ 1 = z. (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. (K(x,y) \ 1) * ((y \ 1) \ 1) = R(K(x,y) \ y,y \ 1,y). R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). x != y \ T(z,z \ u) | x = y \ ((z \ u) \ u). (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). x != (K(y,z) \ 1) * ((z \ u) \ u) | x = K(y,z) \ ((z \ u) \ u). R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). (K(x,y) \ y) \ 1 = y \ ((((y * x) \ y) \ 1) \ T(((y * x) \ y) \ 1,y)). x \ ((((x * y) \ x) \ 1) \ T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. (T(x,x \ 1) * y) \ (y * ((x \ 1) \ 1)) = K(y,x). K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). x != (T(y,y \ z) * u) \ (u * ((y \ z) \ z)) | x = K(u,(y \ z) \ z). K(x,y) = K(x,(y \ 1) \ 1). K(x,(y \ 1) \ 1) = K(x,y). x != K(((y \ 1) \ 1) \ z,(y \ 1) \ 1) | x = K(y \ z,y). K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). K(x,y \ 1) = K(x,1 / y). K(x,1 / y) = K(x,y \ 1). K(x,((y \ 1) \ z) / z) = K(x,((1 / y) \ z) / z). K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). x != K(y,((1 / z) \ y) / y) | x = ((1 / z) \ y) \ (y * R(1 / (1 / z),z \ 1,(1 / z) \ y)). K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ (x * R(1 / (1 / y),y \ 1,(1 / y) \ x)). ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). x != K(y \ ((1 / y) \ z),y) | x = ((1 / y) \ z) \ ((1 / y) \ T(z,y)). K(x \ ((x \ 1) \ y),x) = ((1 / x) \ y) \ ((1 / x) \ T(y,x)). ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). x \ (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. x \ K(y,x) = (K(y,x) \ x) \ 1. (K(x,y) \ y) \ 1 = y \ K(x,y). 1 / (x \ K(y,x)) = K(y,x) \ x. T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). x * ((y * z) * R((y * z) \ y,u,w)) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). L(x * R(x \ 1,y,z),u,w) = L(x,u,w) * R(L(x,u,w) \ 1,y,z). L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). x != L(y,z,u) * R(L(y,z,u) \ 1,L(y,z,u),y \ 1) | x = ((y \ 1) / (y \ L(y,z,u))) * L(y,z,u). L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). L(x * T(x \ 1,L(x,y,z)),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). x != L(y * T(y \ 1,L(y,z,u)),z,u) | x = K(L(y,z,u) \ 1,L(y,z,u)). ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). x * y != K(y \ 1,y) | x = y \ 1. (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. (L(x,y,z) / x) \ (1 / x) = L(1 / (1 / x),y,z) \ 1. L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). x != y * (z * ((y * (z \ (y \ u))) / y)) | x = (y * ((u / z) / y)) * z. (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). T(x \ 1,x) \ R(y,x,x \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). T(T(x,y) \ x,T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1). T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). x != T(y,T(z \ 1,z)) | x = T(y,z \ 1). T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). x != T(y * T(z,z \ 1),z \ 1) | x = R((z \ 1) \ y,1 / z,z). T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). x != R(y,1 / z,z) | x = R(y,z \ 1,z). T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). x != T(y \ 1,y) \ R(z,y,y \ 1) | x = R((y \ 1) \ z,y \ 1,y). T(T(x,y) \ x,T(x,x \ 1) \ 1) = R((x \ 1) \ (T(x,y) \ 1),x \ 1,x). R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). x != T(T(y,z) \ y,y \ 1) | x = T(y,z) \ y. R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. x != R(T(y,z) \ y,y \ 1,y) | x = L(T(y,z) \ y,y \ 1,y). T(x,y) \ x = L(T(x,y) \ x,x \ 1,x). L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). x != L(T(y,z) \ u,T(y,z),z) | x = (y * z) \ (z * u). L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). L((x * y) \ (y * x),x \ 1,x) = K(y,x). K(x,y) = L((y * x) \ (x * y),y \ 1,y). K(x,y) = L(K(x,y),y \ 1,y). L(K(x,y),y \ 1,y) = K(x,y). R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). R(T(x,x \ 1) * T(x \ 1,x),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). x != R(1,y,z) | x = 1. K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. (x \ 1) * 1 = ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)). ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. (x \ 1) / (x \ R(x,y,z)) != u | u = (x \ R(x,y,z)) \ (x \ 1). (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). x != (y * z) * ((u * ((y * z) \ (y * w))) / u) | x = y * (z * ((u * (z \ w)) / u)). (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). L(x * ((y * (x \ 1)) / y),z,u) = L(x,z,u) * ((y * (L(x,z,u) \ 1)) / y). L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). L(x,y,z) * (1 / L(x,y,z)) = L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z). L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). ((x * ((y * z) / ((u * y) * z))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). x != (y * z) * ((u * ((y * z) \ (w * z))) / u) | x = (y * ((u * (y \ w)) / u)) * z. (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. x * (y * z) != (u * y) * z | x = R(u,y,z). R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). K(x,(x / R(y,z,u)) / x) = R(y * ((x * (y \ 1)) / x),z,u). R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). R(x,y,z) * (1 / R(x,y,z)) = R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z). R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). R(K(x,(x / y) / x),z,u) = K(x,(x / R(y,z,u)) / x). R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). R(x * R(x \ 1,y,z),u,w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). x != R(y,z,u) * R(R(y,z,u) \ 1,R(y,z,u),y \ 1) | x = ((y \ 1) / (y \ R(y,z,u))) * R(y,z,u). R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). R(x * T(x \ 1,R(x,y,z)),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). x * R(y,z,u) != R(y * T(y \ 1,R(y,z,u)),z,u) | x = R(y,z,u) \ 1. (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. (R(x,y,z) / x) \ (1 / x) = R(1 / (1 / x),y,z) \ 1. R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). L(x * L(x \ 1,y,z),u,w) = L(x,u,w) * L(L(x,u,w) \ 1,y,z). L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). L(K(L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). x != L(K(L(y,z,u),1 / y),z,u) | x = K(L(y,z,u),L(y,z,u) \ 1). L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). x != (L(y,z,u) / y) \ (1 / y) | x = L(1 / (1 / y),z,u) \ 1. 1 / L(x,y,z) = L(1 / (1 / x),y,z) \ 1. L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). 1 / (1 / L(x,y,z)) = L(1 / (1 / x),y,z). L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). R(x * L(x \ 1,y,z),u,w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). R(a(R(x,y,z),1 / x,x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). x != R(K(R(y,z,u),y \ 1),z,u) | x = K(R(y,z,u),R(y,z,u) \ 1). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). x != (R(y,z,u) / y) \ (1 / y) | x = R(1 / (1 / y),z,u) \ 1. 1 / R(x,y,z) = R(1 / (1 / x),y,z) \ 1. R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). 1 / (1 / R(x,y,z)) = R(1 / (1 / x),y,z). R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). R(x,y,z) \ 1 = 1 / R((x \ 1) \ 1,y,z). 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. (R(x,y,z) \ 1) \ 1 = R((x \ 1) \ 1,y,z). R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). ((((x / y) \ 1) \ 1) * y) * z = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. x != ((y * z) * u) * (((((y * z) * u) \ (z * u)) \ 1) \ 1) | x = ((R(y,z,u) \ 1) * R(y,z,u)) * (z * u). ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). x != (y * z) * (1 / (1 / ((y * z) \ (y * u)))) | x = y * (z * (1 / (1 / (z \ u)))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). x * (y * K(z,z \ 1)) != (x * y) * u | K(L(z,y,x),L(z,y,x) \ 1) = u. (x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z. K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). K(x \ 1,R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). x * y != K(z \ 1,R(z,u,w)) \ (z \ 1) | x \ ((z \ R(z,u,w)) / R(z,u,w)) = y. (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. K(R(x,y,z),x \ 1) = K(x \ 1,R(x,y,z)) \ 1. K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). x != y * T(y \ 1,R(y,z,u)) | x = R(y,z,u) \ R(1 / (1 / y),z,u). K(x \ 1,R(x,y,z)) = R(x,y,z) \ R(1 / (1 / x),y,z). R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). x != R(1 / (1 / y),z,u) | x = 1 / (1 / R(y,z,u)). R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). K(x \ 1,R(x,y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. R(K(x,R(x \ 1,y,z)),y,z) = K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)). K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. x != K(R(y,z,u) \ 1,R(y,z,u)) | x = K(y \ 1,R(y,z,u)). R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). x != K((y \ 1) \ 1,z) | x = K(y,z). R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). K(x,R(x \ 1,y,z)) * (y * z) = (K(x,R(x \ 1,y,z)) * y) * z. (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). L(x,y,K(z,R(z \ 1,y,x))) = x. x * y != K(z,R(z \ 1,u,y)) * (u * y) | x = u * K(z,z \ 1). K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). x * y != y * K(z,z \ 1) | x = K(z,z \ 1). K(x,R(x \ 1,y,z)) = K(x,x \ 1). K(x,x \ 1) * (y * z) = (y * K(x,x \ 1)) * z. (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). L(x,y,K(z,z \ 1)) = x. x != L(T(y,z),z,K(u,u \ 1)) | x = R(T(y,z * K(u,u \ 1)),z,K(u,u \ 1)). T(x,y) = R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)). R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). L(x,y,K(z \ 1,z)) = x. ((x \ 1) \ 1) / (y \ x) = K(x,x \ 1) * y. (1 / x) / y = K(x,x \ 1) * ((x \ 1) / y). K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. L(x,y,z \ 1) = L(x,y,1 / z). L(x,y,1 / z) = L(x,y,z \ 1). x != L(T(y,z),z,K(u \ 1,u)) | x = R(T(y,z * K(u \ 1,u)),z,K(u \ 1,u)). T(x,y) = R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)). R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y). x != L((y * K(z,z \ 1)) \ u,y * K(z,z \ 1),K(z \ 1,z)) | x = y \ (K(z \ 1,z) * u). (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). x != L(y \ z,y,u) | x = (u * y) \ (u * z). x \ y = (K(z \ 1,z) * x) \ (K(z \ 1,z) * y). (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). x != L(K(y,z),z * y,1 / z) | x = L(y,z,z \ 1) \ ((1 / z) * (y * z)). L(K(x,y),y * x,y \ 1) = L(x,y,y \ 1) \ ((1 / y) * (x * y)). L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). L(x,y,z) = L(x,y,(z \ 1) \ 1). L(x,y,(z \ 1) \ 1) = L(x,y,z). L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). ((x \ 1) \ 1) / y = K(x,x \ 1) * (x / y). K(x,x \ 1) * (x / y) = ((x \ 1) \ 1) / y. ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. (x \ ((y \ 1) \ 1)) * K(y \ 1,(y \ 1) \ 1) = (1 / (y \ 1)) / T(x,x \ T(y,y \ 1)). (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). x * y != (z * K(u,u \ 1)) * w | (K(u,u \ 1) * (z * w)) / y = x. (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). x * y = K(z,z \ 1) * ((K(z \ 1,z) * x) * y). K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. ((1 / x) * y) * z = K(x,x \ 1) * (((x \ 1) * y) * z). K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. x / y = K(x,x \ 1) * ((1 / (1 / x)) / y). K(x,x \ 1) * ((1 / (1 / x)) / y) = x / y. K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. K(x \ 1,x) * (y \ x) = (1 / (1 / x)) / T(y,y \ x). (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). ((1 / x) * y) \ z = ((x \ 1) * y) \ (K(x \ 1,x) * z). ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. (K(x \ 1,x) * y) \ z = y \ (z * K(x,x \ 1)). R(K(x \ 1,x) * y,z,u) = ((K(x \ 1,x) * (y * z)) * u) / (z * u). ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) = T(x,y / (z \ 1)). x * y != K(z * u,(z * u) \ 1) * ((((z * u) \ 1) * z) * u) | a((z * u) \ 1,z,u) / y = x. a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x. x * K(((1 / y) * x) \ x,(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). x != (K(y,y \ 1) * (z * u)) / (K(y,y \ 1) * u) | x = R(z,u,K(y,y \ 1)). R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,(y \ 1) \ 1)). R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). R(x,y,K(z \ 1,z)) = R(x,K(z \ 1,z),y). R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). x != (K(y \ 1,y) * z) / u | x = K(y \ 1,y) * (z / u). R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * (((y * z) * u) / (z * u)). K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). K(x \ 1,x) * R(y,z,u) = R(K(x \ 1,x) * y,z,u). R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). x != K(y \ 1,y) * R(z * T(y,y \ 1),u,w) | x = (y \ R(y * z,u,w)) * y. R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). R(x * y,z,u) = (y \ R(y * x,z,u)) * y. (x \ R(x * y,z,u)) * x = R(y * x,z,u). R(x * y,z,u) / y = y \ R(y * x,z,u). (x \ R(y,z,u)) * x = R((x \ y) * x,z,u). R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. R(x,y,z) / u = u \ R(u * (x / u),y,z). x \ R(x * (y / x),z,u) = R(y,z,u) / x. R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. R((x \ (1 / y)) * x,y,x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. x * (R(y,z,u) / x) = R(x * (y / x),z,u). R(x * (y / x),z,u) = x * (R(y,z,u) / x). R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). x * y != R((z \ (u / w)) * z,w,w \ 1) | ((z \ (u * (w \ 1))) * z) / y = x. ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. x != R((y \ (y / (1 / z))) * y,z \ 1,z) | x = (y * (z \ T(z,y))) * z. (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. ((x \ (1 * y)) * x) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). x * y = (y * (x \ T(x,y))) * x. (x * (y \ T(y,x))) * y = y * x. (x * y) / x = y * (x \ T(x,y)). x * (y \ T(y,x)) = (y * x) / y. x * y != z * (z \ u) | u / y = x. x / y = (y \ x) * (y \ T(y,y \ x)). (x \ y) * (x \ T(x,x \ y)) = y / x. T(x,y) * (y \ T(y,T(x,y))) = x. x * y != (z * (u \ T(u,z))) * u | (u * z) / y = x. (x * y) / T(x,y) = R(y,x \ T(x,y),x). R(x,y \ T(y,x),y) = (y * x) / T(y,x). x \ ((y * x) / y) = y \ T(y,x). x * y != ((z / u) * u) / w | x \ (z / w) = y. x \ (y / (y / x)) = (y / x) \ T(y / x,x). (x / y) \ T(x / y,y) = y \ (x / (x / y)). x * y != (z * T(u,z)) / z | x \ u = y. T(x,y) \ x = y \ T(y,T(x,y)). (x \ 1) * y != (z * (x \ 1)) / z | y = x * ((z * (x \ 1)) / z). x \ T(x,y \ 1) = y * ((x * (y \ 1)) / x). x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). x * y != (z * x) / z | y = ((z * x) / z) / x. x \ T(x,y) = ((x * y) / x) / y. ((x * y) / x) / y = x \ T(x,y). x != y * (z \ T(z,y)) | x = (z \ T(z,y)) * y. (x * y) / x = (x \ T(x,y)) * y. (x \ T(x,y)) * y = (x * y) / x. ((x * y) / x) * (y \ 1) = x \ T(x,y). x * (y * T(y \ 1,x)) = ((y \ 1) * x) / (y \ 1). ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). ((x * y) / x) \ y = T(x,y) \ x. (T(x,y) \ x) * ((x * y) / x) = y. x \ T(x,y) = T(y,T(x,y)) \ y. T(x,T(y,x)) \ x = y \ T(y,x). x * (T(y,T(x,y)) \ y) = T(x,y). L(x \ T(x,y),y,x) = K(x,(x * y) / x). (x \ T(x,y)) * x = T(x,R(y,y \ 1,x)). T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). ((1 / (x * y)) \ T(1 / (x * y),x)) * x = (a((x * y) \ 1,x,y) / y) / (1 / (x * y)). (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((1 / (x * y)) \ T(1 / (x * y),x)) * x. (x / y) \ (y \ x) = T(y,y \ x) \ y. T(x,x \ y) \ x = (y / x) \ (x \ y). (x \ (y * (T(z,x) \ z))) * x = (((z * x) / z) * T(((z * x) / z) \ y,x)) * (((z * x) / z) \ x). (((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. x != y \ T(y,z) | x = K(z \ (z / (y \ 1)),z). T(x,T(y,x)) \ x = K(x \ (x / (y \ 1)),x). K(x \ (x / (y \ 1)),x) = T(x,T(y,x)) \ x. T(x,T(y,x)) * (y \ T(y,x)) = x. x * (y \ T(y,z)) != z | x = T(z,T(y,z)). x * (y \ T(y,z)) != z | T(z,T(y,z)) = x. (x \ T(x,y)) \ y = T(y,T(x,y)). (x * (T(x,T(y,x)) \ x)) * y = y * x. x * (T(x,T(y,x)) \ x) = (y * x) / y. (x * y) / x = y * (T(y,T(x,y)) \ y). x != T(y,T(z,y)) * (z \ T(z,y)) | x = L(y,z \ T(z,y),z). x = L(x,y \ T(y,x),y). L(x,y \ T(y,x),y) = x. x * y != L(z,u \ T(u,z),u) | x \ z = y. x \ y = T(x,y) \ (y * (x \ T(x,y))). T(x,y) \ (y * (x \ T(x,y))) = x \ y. (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). (x \ y) * (x \ ((x \ y) \ y)) = y / x. x * y != x * z | T(z * (T(z,T(x,z)) \ z),x) = y. T(x * (T(x,T(y,x)) \ x),y) = x. T(x,y) \ ((x * y) / x) = x \ y. T(x / y,T(y,x)) = y \ x. T(x,y) * (x \ y) = (x * y) / x. T(x / ((x * y) / x),y) = ((x * y) / x) \ x. T(x \ y,x) = T(x \ y,T(x,y)). T(x \ y,T(x,y)) = T(x \ y,x). K(x \ y,T(x,y)) = y \ (x * T(x \ y,T(x,y))). x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). x * (y \ z) != (y * z) / y | x = T(y,y / (y / z)). T(x,y) = T(x,x / (x / y)). T(x,x / (x / y)) = T(x,y). T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. x * ((x * y) / x) = T(x,y) * y. T(x,y) * y = x * ((x * y) / x). L(((x * y) / x) / y,y,x) = K(T(x,y),y). x != T(y,y / (y / (y * z))) | x = T(y,y / (1 / z)). T(x,x * y) = T(x,x / (1 / y)). T(x,x / (1 / y)) = T(x,x * y). T(x,T(y,x)) = (x / T(y,x)) * y. (x / T(y,x)) * y = T(x,T(y,x)). x * y != T(z,z / (z / u)) | x \ T(z,u) = y. (x / y) \ T(x,y) = (x * y) / x. T(x,x / y) = T(x,y \ x). T(x,T(y,x)) * (y * x) = x * (x * y). T(x,y * x) = T(x,(y \ 1) \ x). T(x,(y \ 1) \ x) = T(x,y * x). x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). T(x,x \ y) * (x \ y) = x * (y / x). R(T(x,x * y),y,x) = (x / T(y,x)) * y. x \ T(x * y,y) = ((x * y) * y) / (x * y). ((x * y) * y) / (x * y) = x \ T(x * y,y). (x \ y) \ (y / x) = x \ ((x \ y) \ y). x * (x * (y / x)) = T(x,x \ y) * y. T(x,x \ y) * y = x * (x * (y / x)). x != (y * z) / T(y,z) | x = z. R(x,y \ T(y,x),y) = x. R(T(x,y),z \ T(z,x),z) = T(x,y). T(x,y) * T(z,x) = (T(x,y) * (z \ T(z,x))) * z. (T(x,y) * (z \ T(z,x))) * z = T(x,y) * T(z,x). L(x \ T(x,T(y,x)),T(y,x),x) = K(x,y). K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). x != (y \ T(y,z)) * y | x = T(y,z). T(x,R(y,y \ 1,x)) = T(x,y). x * K(x,y / x) = T(x,(y \ x) \ 1). T(x,(y \ x) \ 1) = x * K(x,y / x). T(x,R(y \ 1,y,x)) = T(x,y \ 1). T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. x != T(y * z,R(y \ 1,y,y * z)) | x = y * ((y * z) * (z / (y * z))). T(x * y,x \ 1) = x * ((x * y) * (y / (x * y))). x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). x != T(y,R(z \ 1,z,y)) | x = T(y,y / (y * z)). T(x,y \ 1) = T(x,x / (x * y)). T(x,x / (x * y)) = T(x,y \ 1). x != T(y,R(z \ 1,z,u)) | x = T(y,u / (z * u)). T(x,y \ 1) = T(x,x / (y * x)). T(x,x / (y * x)) = T(x,y \ 1). (x * ((x / y) / x)) * y = T(x,y \ 1). x * y != T(z,z / (z * u)) | T(z,u \ 1) / y = x. T(x,y \ 1) / y = x * ((x / y) / x). x * y != T(z,z / (z * u)) | x \ T(z,u \ 1) = y. x \ T(x,y \ 1) = K(x,(x / y) / x). K(x,(x / y) / x) = x \ T(x,y \ 1). T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). x \ T(y,x \ 1) = T(y * ((y / x) / y),x). T(x * ((x / y) / x),y) = y \ T(x,y \ 1). x * y != T(z,z / (u * z)) | x \ T(z,u \ 1) = y. x \ T(y,x \ 1) = y * ((x \ y) / y). T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). x * y != z * ((u \ z) / z) | x \ (u \ T(z,u \ 1)) = y. x \ (y \ T(x,y \ 1)) = (y \ x) / x. x \ T(y,x \ 1) = y * R(1 / x,x,x \ y). x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). L(x \ T(x,y),y,x) = K(T(x,y),y). x != L(y \ T(y,z),z,y) | x = K(y,(y * z) / y). K(T(x,y),y) = K(x,(x * y) / x). K(T(x,x \ y),x \ y) = K(x,y / x). K(T(x,T(y,x)),T(y,x)) = K(x,y). x != (y / T(z,y)) * z | x = T(y,T(z,y)). R(T(x,x * y),y,x) = T(x,T(y,x)). (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). x * T(y,T(x,y)) = L(R(y,x,y),x,y) * x. L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). (x / y) \ (y \ x) = y \ (x / (x / y)). x != (y / z) \ (z \ y) | x = T(z,z \ y) \ z. x \ (y / (y / x)) = T(x,x \ y) \ x. T(x,x \ y) \ x = x \ (y / (y / x)). x * (T(x,x \ y) \ x) = y / (y / x). x / (x / y) = y * (T(y,y \ x) \ y). (x * y) / ((x * y) / x) = x * (T(x,y) \ x). x != y * ((z * (y \ 1)) / z) | x = (z * ((y \ z) / z)) / (y \ z). x \ T(x,y \ 1) = (x * ((y \ x) / x)) / (y \ x). (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). x != L(y,z,u) * ((w * (L(y,z,u) \ 1)) / w) | x = L(y * ((w * (y \ 1)) / w),z,u). x \ T(x,L(y,z,u) \ 1) = L(y * ((x * (y \ 1)) / x),z,u). L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). (T(x,T(y,x)) \ x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). (x \ T(x * y,y)) * x = x * R(y,x,y). (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. x * y != y * T(z,u) | x = T((y * z) / y,u). L(R(x,y,x),y,x) = T((y * x) / y,T(y,x)). T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). x != (y * z) / ((u * z) / u) | x = (y / ((u * z) / u)) * z. x * (T(x,y) \ x) = (x / ((x * y) / x)) * y. (x / ((x * y) / x)) * y = x * (T(x,y) \ x). x != (y * z) / ((y * z) / y) | x = z / (y \ ((y * z) / y)). x * (T(x,y) \ x) = y / (x \ ((x * y) / x)). x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). T(x * (T(x,T(y,x)) \ x),T(y,x)) = L(R(x,y,x),y,x). T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). x * y != z * (T(z,x) \ z) | T(z / ((z * x) / z),x) = y. T(x / ((x * y) / x),y) = y \ (x * (T(x,y) \ x)). x \ (y * (T(y,x) \ y)) = T(y / ((y * x) / y),x). (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). x != y \ (z * T(z \ y,T(z,y))) | x = K(z \ y,z). K(x \ y,T(x,y)) = K(x \ y,x). K(x \ (x * y),x) = K(y,T(x,x * y)). K(x,T(y,y * x)) = K(x,y). K(x \ 1,T(y,x \ y)) = K(x \ 1,y). K((x \ 1) \ 1,T(y,x * y)) = K((x \ 1) \ 1,y). x * y != T(x * z,x \ 1) | y = ((x \ 1) \ z) * (x \ 1). (x * y) * (y / (x * y)) = ((x \ 1) \ y) * (x \ 1). ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). x != K(y,(y / z) / y) | x = y \ T(y,z \ 1). T(x \ T(x,y \ 1),z) = x \ T(x,T(y,z) \ 1). x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. x != T(y / ((y * z) / y),z) | x = ((y * z) / y) \ y. x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. K((x \ 1) \ 1,y) = K(x,T(y,x * y)). K(x,T(y,x * y)) = K(x,y). K(x,T(x \ y,y)) = K(x,x \ y). x != (((y \ 1) \ 1) \ z) * ((y \ 1) \ 1) | x = (y \ z) * y. ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. x \ T(x,R(y \ 1,y,z) \ 1) = T(x \ T(x,(z / (y * z)) \ 1),T(y,u)). T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. x * y != ((z \ 1) * u) * R(z,z \ 1,u) | ((z \ u) * z) / y = x. ((x \ y) * x) / y = ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1). ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(y,((x \ 1) \ y) / y). K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). x != ((1 / y) \ z) \ ((1 / y) \ T(z,y)) | x = K(y \ ((y \ 1) \ z),y). K(x,((y \ 1) \ x) / x) = K(y \ ((y \ 1) \ x),y). K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). x != ((y \ 1) * z) / (y \ 1) | x = ((1 / y) * z) / (1 / y). x * (((x \ (1 / y)) * x) * y) = ((1 / (x * y)) * x) / (1 / (x * y)). ((1 / (x * y)) * x) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. x != ((y * z) / y) * (z \ 1) | x = y \ T(y,z). ((x \ y) * x) / y = ((x \ 1) * y) \ T((x \ 1) * y,x). ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. x != ((y \ 1) * z) \ T((y \ 1) * z,y) | x = L(K(y \ z,y),z,y \ 1). ((x \ y) * x) / y = L(K(x \ y,x),y,x \ 1). L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. L(K(x,y),y * x,y \ 1) = ((y \ (y * x)) * y) / (y * x). ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). (x * y) / (y * x) = L(K(x,y),y * x,y \ 1). L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). x != L(y,z,z \ 1) \ ((1 / z) * (y * z)) | x = L(K(y,z),z * y,z \ 1). T(x,(1 / x) * (y * x)) \ x = L(K(y,x),x * y,x \ 1). L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. x != L(K(y,z),z * y,z \ 1) | x = (y * z) / (z * y). T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). x != y * K(z \ y,z) | x = (z \ y) * z. (x \ T(x,(x \ 1) * y)) * y = (((x \ 1) * y) \ y) * ((x \ 1) * y). (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). (((x \ (1 / y)) * x) * y) * x = x * ((y * x) * T((y * x) \ 1,x)). x * ((y * x) * T((y * x) \ 1,x)) = (((x \ (1 / y)) * x) * y) * x. x * (y * (x * T(x \ (y \ 1),x))) = (((x \ (1 / y)) * x) * y) * x. x * (y * ((x \ (y \ 1)) * x)) = (((x \ (1 / y)) * x) * y) * x. (((x \ (1 / y)) * x) * y) * x = x * (y * ((x \ (y \ 1)) * x)). x != y \ T(y,R(z,u,w) \ 1) | x = R(y \ T(y,z \ 1),u,w). T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) != x * z | ((x \ (1 / y)) * x) * y = z. T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. x != ((y * z) / u) * T(((y * z) / u) \ y,w) | x = (y * (z * T(z \ u,w))) / u. x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. x * K(y \ 1,y) != (z / u) * u | x = z * K(y,y \ 1). x \ ((y \ 1) \ 1) = (x \ y) * K(y,y \ 1). (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). (x \ ((y \ 1) \ 1)) * z = K(y,y \ 1) * ((x \ y) * z). K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * ((x * ((1 / y) * z)) / ((y \ 1) * z)). K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((x * y) * T((x * y) \ 1,x)) * x. (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = (((x \ (1 / y)) * x) * y) * x. x != (((y \ (1 / z)) * y) * z) * y | x = y * (z * ((y \ (z \ 1)) * y)). (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (y * ((x \ (y \ 1)) * x)). ((x \ (1 / y)) * x) * y = y * ((x \ (y \ 1)) * x). ((x \ y) * x) * (y \ 1) = (y \ 1) * ((x \ ((y \ 1) \ 1)) * x). (x \ 1) * ((y \ ((x \ 1) \ 1)) * y) = ((y \ x) * y) * (x \ 1). x != (y \ 1) * ((z \ ((y \ 1) \ 1)) * u) | x = (1 / y) * ((z \ y) * u). ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). (T(x,T(y,x)) \ x) \ (L(z,y,T(x,T(y,x)) \ x) * T(y,x)) = y * T(z,T(y,x)). (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). x != (y \ ((z \ 1) \ 1)) * K(z \ 1,z) | x = y \ z. x / T(y,y \ T(x,x \ 1)) = y \ x. (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). x != (1 / (1 / y)) / T(z,z \ y) | x = K(y \ 1,y) * (z \ y). x \ (1 / (1 / y)) = K(y \ 1,y) * (x \ y). K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. x != K(y,y \ 1) * ((z \ (1 / (1 / y))) * z) | x = y * K(z \ (1 / (1 / y)),z). (x \ y) * x = y * K(x \ (1 / (1 / y)),x). x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. x != ((y \ z) * y) * (z \ 1) | x = (1 / z) * ((y \ z) * y). ((x \ y) * x) / y = (1 / y) * ((x \ y) * x). (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. ((x * (y * T(y \ T(z,x),y))) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. ((x * ((y \ T(z,x)) * y)) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. ((x * ((y \ T(z,x)) * y)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. ((x * ((y / z) / x)) * z) * (y \ u) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). x != (y * ((z / (u * (y \ z))) / y)) * (u * (y \ z)) | x = y * ((y \ T(y,u \ 1)) * (y \ z)). ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). T(x,y \ 1) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). x * ((x \ T(x,y)) * (x \ z)) = T(x,(y \ 1) \ 1) * (x \ z). T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). T(x,y) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). x * ((x \ T(x,y)) * z) = T(x,y) * (x \ (x * z)). T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). T(x,y) * z = x * ((x \ T(x,y)) * z). x * ((x \ T(x,y)) * z) = T(x,y) * z. L(x,y \ T(y,z),y) = x. (x \ T(x,y)) * z = T(x,y) * (x \ z). x * y != T(x,x \ z) * z | y = x * (z / x). (x \ T(x,x \ y)) * y = x * (y / x). x * y != T(x,z) * (x * u) | y = T(x,z) * u. (x \ T(x,y)) * (x * z) = T(x,y) * z. x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. L(x,y,y \ T(y,z)) = x. x * y != L(z,u \ T(u,w),u) | x \ z = y. (x \ T(x,y)) \ z = x * (T(x,y) \ z). L(x,T(y,T(z,y)) \ y,z) = x. L(x,y,T(z,T(y,z)) \ z) = x. L(x,T(y,z) \ y,(y * z) / y) = x. (T(x,T(y,x)) \ x) \ (z * T(y,x)) = y * T(z,T(y,x)). x * y != L(z,T(u,w) \ u,(u * w) / u) | x \ z = y. ((x * y) / x) \ z = y \ ((T(x,y) \ x) * z). x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. x != (y \ T(y,z \ 1)) * (z * u) | x = z * ((y \ T(y,z \ 1)) * u). T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). x != (y \ T(y,z)) * (u * K(y \ 1,y)) | x = ((y \ 1) * T(y,z)) * u. T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. (T(x,y) * z) / (x * z) = x \ T(x,y). (x \ T(x,y)) \ (T(x,y) * z) != u | u = x * z. (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. R(x \ T(x,y),x,z) = x \ T(x,y). L(x \ T(x,T(y,x)),T(y,x),x) = R(K(x,y),x,z). R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). x != R((y / z) \ T(y / z,u),y / z,z) | x = (z * T(z \ y,u)) / y. (x / y) \ T(x / y,z) = (y * T(y \ x,z)) / x. (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). x * y != T(x,T(z,x)) * (z * x) | y = x * z. (T(x,y) \ x) * (x * y) = y * x. (x * y) * z != y * x | T(T(x,y) \ x,x * y) = z. T(T(x,y) \ x,x * y) = K(y,x). K(x,y) = T(T(y,x) \ y,y * x). (x * y) / (y * x) = T(y,x) \ y. x * y != (z / u) * u | z / y = x. x / (y * (x / y)) = T(y,x / y) \ y. T(x,y / x) \ x = y / (x * (y / x)). K(x \ y,x) = T(T(x,x \ y) \ x,y). T(T(x,x \ y) \ x,y) = K(x \ y,x). (x * (y / x)) / y = T(y / x,x) \ (y / x). T(x / y,y) \ (x / y) = (y * (x / y)) / x. x * (((y * x) / (x * y)) \ 1) = T(x,y). T(x,y) = x * (((y * x) / (x * y)) \ 1). T(x \ (y / (y / x)),y) = K(x \ y,x). x != y * (((z * y) / (y * z)) \ 1) | x = T(y,(y \ 1) * (z * y)). T(x,y) = T(x,(x \ 1) * (y * x)). T(x,(x \ 1) * (y * x)) = T(x,y). T(x,T((x \ 1) * y,x)) = T(x,x \ y). x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. (x \ y) \ (y / x) = (x * (y / x)) / y. (x * (y / x)) / y = (x \ y) \ (y / x). x != (y \ z) \ (z / y) | x = y \ ((y \ z) \ z). (x * (y / x)) / y = x \ ((x \ y) \ y). x != (y * ((z \ y) / y)) / (z \ y) | x = y \ T(y,z \ 1). x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). x != y * (((z * y) / z) \ u) | x = R(z \ T(z,y),y,((z * y) / z) \ u) \ u. (T(x,y) \ x) * z = R(x \ T(x,y),y,((x * y) / x) \ z) \ z. R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. x != L(y \ T(y,T(z,y)),T(z,y),y) | x = K(y,z). R(K(x,y),x,z) = K(x,y). x * T(x \ 1,y) = ((x \ z) / z) \ T((x \ z) / z,y). ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). T(x,y \ 1) = T(x,x \ (y \ x)). T(x,x \ (y \ x)) = T(x,y \ 1). T(x,y \ 1) \ x = x \ ((y \ x) / ((y \ x) / x)). x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. x != (y / z) \ T(y / z,z) | x = z \ (y / (y / z)). x * T(x \ 1,y) = y \ ((x \ y) / ((x \ y) / y)). x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). (x * T(x \ 1,y)) \ y = T(y,T((x \ z) / z,y)). T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. x != y \ ((z \ y) / ((z \ y) / y)) | x = T(y,z \ 1) \ y. x * T(x \ 1,y) = T(y,x \ 1) \ y. T(x,y \ 1) \ x = y * T(y \ 1,x). x != y * T(y \ 1,z) | x = K(z \ (z / y),z). T(x,y \ 1) \ x = K(x \ (x / y),x). K(x \ (x / y),x) = T(x,y \ 1) \ x. T(x,(y \ 1) \ 1) \ x = y \ T(y,x). L(x,T(y \ 1,z),y) = (T(z,y \ 1) \ z) \ (y * (T(y \ 1,z) * x)). (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). x * ((y \ (x \ y)) * y) = y * (T(y,x \ 1) \ y). x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). K(x \ (x / y),x) \ x = T(x,y \ 1). T(x,y) \ x = y \ T(y,x). T(x,y / x) \ x = x \ (y / (y / x)). T(x,y) * (y \ T(y,x)) = x. x * (T(x,y) \ x) = (y * x) / y. (x * y) / x = y * (T(y,x) \ y). x * ((T(y,x) \ y) * z) = T(x,y) * z. (T(x,y) \ x) * z = T(y,x) * (y \ z). T(x,y) * (x \ z) = (T(y,x) \ y) * z. K(x,y) = T(x \ T(x,y),y * x). T(x,T(y,x)) = T(x,y). x * y = T(x,y) * T(y,x). T(x,y) * T(y,x) = x * y. T(x,x \ y) \ y = T(x \ y,x). x != T(y,T(z,y)) | x = R(T(y,y * z),z,y). T(x,y) = R(T(x,x * y),y,x). R(T(x,x * y),y,x) = T(x,y). x != T(y,T(z,y)) | x = (y / T(z,y)) * z. T(x,y) = (x / T(y,x)) * y. (x / T(y,x)) * y = T(x,y). x != T(y,T((y \ 1) * z,y)) | x = T(y,y \ z). T(x,(x \ 1) * y) = T(x,x \ y). T(T(x,y),z) = T(T(x,z),T(y,x)). T(T(x,y),T(z,x)) = T(T(x,z),y). T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). T(x,x \ y) = T(x,y / x). T(x,y / x) = T(x,x \ y). T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). T(x * (T(x,y) \ x),y) = x. (x * y) * T(x,y) = R(x,y,x) * (x * y). R(x,y,x) * (x * y) = (x * y) * T(x,y). T(x,y) * z != y * x | T(T(y,x),T(x,y)) = z. T(T(x,y),T(y,x)) = T(y,x) \ (x * y). T(x,y) \ (y * x) = T(T(y,x),T(x,y)). R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). x != T(y,z / y) | x = R(T(y,z),z / y,y). T(x,x \ y) = R(T(x,y),y / x,x). R(T(x,y),y / x,x) = T(x,x \ y). x != T(y * (T(y,T(z,y)) \ y),T(z,y)) | x = L(R(y,z,y),z,y). x = L(R(x,y,x),y,x). L(R(x,y,x),y,x) = x. x != L(R(y,z * y,y),z * y,y) | x = T(z \ T(z * y,y),T(z * y,y)). x = T(y \ T(y * x,x),T(y * x,x)). T(x \ T(x * y,y),T(x * y,y)) = y. x * (y * x) = (L(x,y,x) * y) * x. (L(x,y,x) * y) * x = x * (y * x). R(T(x,y),x \ y,x) = T(x,x \ y). ((x * y) / x) \ x = y \ ((y * x) / y). x != T(y \ T(y,z \ 1),u) | x = y \ T(y,T(z,u) \ 1). K(x,y \ 1) = x \ T(x,T(y,(y \ 1) * x) \ 1). x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). (x \ T(x,x \ y)) \ y = x * T(x \ y,x). (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. x * y != x * (z * x) | T(L(x,z,x) * z,x) = y. T(L(x,y,x) * y,x) = y * x. x * y != y * (z * y) | x = z * T(y,z * y). L(x,y,x) * y = y * T(x,y * x). x * T(y,x * y) = L(y,x,y) * x. T(x,y * x) = T(x,L(x,y,x) * y). T(x,L(x,y,x) * y) = T(x,y * x). x * y != L(z,x,z) * x | y = T(z,z * x). T(x,y * x) = T(x,x * y). (x \ y) * z != L(x,x \ y,x) * (x \ y) | z = T(x,y). T(x,(x \ y) * x) = T(x,y). (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). K(x \ y,x) \ x = T(x,(y \ x) \ 1). T(x,(y \ x) \ 1) = K(x \ y,x) \ x. x != T(y,z / y) \ y | x = z / (y * (z / y)). x \ (y / (y / x)) = y / (x * (y / x)). x / (y * (x / y)) = y \ (x / (x / y)). (x / y) * z != T(x / y,u) * x | z = y * T(y \ x,u). (T(x,y / z) \ x) * y = z * T(z \ y,x). x != T(T(y,z),T(u,y)) | x = T(T(y,u),z). T(x,y) \ (y * x) = T(T(y,x),x). T(x,y) * T(T(y,x),x) = y * x. K(x,y) = K(x,x \ T(x * y,y)). K(x,x \ T(x * y,y)) = K(x,y). x != K(y,y \ T(y * z,z)) | x = (y * R(z,y,z)) \ T(y * z,z). K(x,y) = (x * R(y,x,y)) \ T(x * y,y). x * K(x,y / x) = K(x \ y,x) \ x. K(x \ y,x) \ x = x * K(x,y / x). K(x \ y,x) \ 1 = K(x,y / x). K(x,y) \ 1 = K(y,(y * x) / y). K(x,(x * y) / x) = K(y,x) \ 1. K(x,y) = K(T(y,x),x) \ 1. K(T(x,y),y) \ 1 = K(y,x). K(T(x,y),y) * K(y,x) = 1. K(T(x,y),y) \ 1 != z | z = K(y,x). K(T(x,y),y) \ 1 != z | K(y,x) = z. x * (y * z) != (u * z) * T(y,z) | x = R(u,z,T(y,z)). R(x,y,x) = R(x,y,T(x,y)). R(x,y,T(x,y)) = R(x,y,x). x != R(y,z,T(y,z)) | x = z \ T(y * z,y). R(x,y,x) = y \ T(x * y,x). x \ T(y * x,y) = R(y,x,y). x * R(y,x,y) = T(y * x,y). (x * y) * R(x,y,x) = T(x * y,x) * T(x,y). T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). L(R(x,y,x),y,z) = (z * y) \ (z * T(x * y,x)). (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). x \ T(y * x,y) != z | z = R(y,x,y). x \ T(y * x,y) != z | R(y,x,y) = z. K(x,y) = T(y * x,y) \ T(x * y,y). x != T(y * z,y) \ T(z * y,y) | x = K(y \ T(y * z,y),y). K(x,y) = K(y \ T(y * x,y),y). K(x \ T(x * y,x),x) = K(y,x). K(x \ T(y,x),x) = K(x \ y,x). K(x \ y,x) = K(x \ ((x * y) / x),x). K(x \ ((x * y) / x),x) = K(x \ y,x). K(((x * y) / x) \ x,y) = K(y \ x,y). x * K(y \ x,y) = (x * ((y \ x) * y)) / x. (x * ((y \ x) * y)) / x = x * K(y \ x,y). (x \ T(x,x \ y)) \ y = (x \ y) * x. (x \ ((x \ y) \ y)) \ y = (x \ y) * x. x / ((y \ x) * y) = y \ ((y \ x) \ x). x != y \ ((y \ z) \ z) | x = (y * (z / y)) / z. x / ((y \ x) * y) = (y * (x / y)) / x. (x * (y / x)) / y = y / ((x \ y) * x). x != T(y,(y \ z) * y) | x = T(y,z). T(x,(x \ y) * T(x,y)) = T(x,y). R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). x != y * T(y \ z,u) | x = z * K(u \ (u / (z \ y)),u). (T(x,y / z) \ x) * y = y * K(x \ (x / (y \ z)),x). x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. T(x,(y \ x) * y) = x. T((x \ y) * x,y) = (x \ y) * x. T(x * (y / x),y) = x * (y / x). T(x * (y / x),y) / y = y / ((x \ y) * x). T((x \ y) * x,y) / y = y / ((((x \ 1) * y) \ y) * ((x \ 1) * y)). x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. x != (y * T(y \ 1,z)) \ z | x = T(z,T(y \ 1,z)). T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). x != T(y,T(z,y)) | x = T(y,z). T(x,T(y \ 1,x)) = T(x,(y \ z) / z). T(x,(y \ z) / z) = T(x,y \ 1). T(x,y / (z * y)) = T(x,z \ 1). T(x,y / z) = T(x,(z / y) \ 1). T(x,(y / z) \ 1) = T(x,z / y). T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). T(x * y,x) * T(x,y) = R(x,y,x) * T(x * y,x). R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). T(x,y) * T(y,y \ x) = R(y,x / y,y) * T(x,y). R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). T(x,y) * T(y,y \ x) = R(y,y \ x,y) * T(x,y). R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). x * K(x,y \ 1) = T(x,T(y,y \ x) \ 1). T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). K(x,(y \ x) / x) = K(x,y \ 1). x != K(y,((z \ 1) \ y) / y) | x = K(z \ ((z \ 1) \ y),z). K(x,(y \ 1) \ 1) = K(y \ ((y \ 1) \ x),y). K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). x != K(y,(z \ 1) \ 1) | x = K(y,z). K(x \ ((x \ 1) \ y),x) = K(y,x). x != K(y \ ((y \ 1) \ z),y) | x = K(y \ ((1 / y) \ z),y). K(x,y) = K(y \ ((1 / y) \ x),y). K(x \ ((1 / x) \ y),x) = K(y,x). K(x \ y,x) = K((1 / x) * y,x). K((1 / x) * y,x) = K(x \ y,x). K(x * y,x \ 1) = K((x \ 1) \ y,x \ 1). K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). x * y != T((y \ z) * y,y) | x = y \ T(z,y). ((x \ y) * x) / T(x,y) = x \ T(y,x). (x \ T(y,x)) * T(x,y) = (x \ y) * x. x != T(y * z,y) * T(y,z) | x = (y * z) * R(y,z,y). R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). x * T(y,z) != T(y,z) * T(z,z \ y) | x = R(z,y / z,z). R(x,x \ y,x) = R(x,y / x,x). R(x,y / x,x) = R(x,x \ y,x). R(x,(x * y) / x,x) = R(x,y,x). R(x,y,x) = R(x,T(y,x),x). R(x,T(y,x),x) = R(x,y,x). x != R(y,T(z,y),y) | x = R(y,T(z,y),T(y,z)). R(x,y,x) = R(x,T(y,x),T(x,y)). R(x,T(y,x),T(x,y)) = R(x,y,x). R(R(x,y,x),z,u) = R(R(x,z,u),T(y,x),T(x,y)). R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). x != (y / z) * K(u \ (u / ((y / z) \ (1 / z))),u) | x = T(y,u) / z. (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. R(R(x,y,x),z,u) * (y * x) = (R(x,z,u) * T(y,x)) * T(x,y). (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). x != T(y \ T(y,z),T(z,u)) | x = y \ T(y,z). R(x \ T(x,y),y,z) = x \ T(x,y). (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. x != T(y \ 1,z) * (T(y \ 1,(y \ 1) \ 1) \ u) | x = T(1 / y,z) * ((y \ 1) \ u). (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). x != (y \ T(y,y \ z)) * z | x = y * (z / y). (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). (x \ T(x,y)) \ z = (T(x,y) \ x) * z. x * (T(x,y) \ z) = (T(x,y) \ x) * z. (T(x,y) \ x) * z = x * (T(x,y) \ z). x * y = (T(x,z) \ x) * (T(x,z) * y). (T(x,y) \ x) * (T(x,y) * z) = x * z. x != (T(y,z) \ y) * u | x = T(z,y) * (z \ u). (x \ T(x,y)) \ z = T(y,x) * (y \ z). x * y != z * (T(z,u) \ x) | T(T(z,u) \ z,x) = y. T(T(x,y) \ x,z) = z \ (x * (T(x,y) \ z)). x \ (y * (T(y,z) \ x)) = T(T(y,z) \ y,x). x * (T(x,y) \ z) = T(y,x) * (y \ z). T(x,y) * (x \ z) = y * (T(y,x) \ z). x != (T(y,(z / u) / (1 / u)) \ y) * (z / u) | x = T(z,y) / u. x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. x != (T(y,z / u) \ y) * z | x = u * T(u \ z,y). x * (T(x,y / z) \ y) = z * T(z \ y,x). x * T(x \ y,z) = z * (T(z,y / x) \ y). (T(x,y) \ x) \ z = T(x,y) * (x \ z). x * y = T(z,x) * (z \ (T(x,z) * y)). T(x,y) * (x \ (T(y,x) * z)) = y * z. x * (y * z) = T(x,y) * (T(y,x) * z). T(x,y) * (T(y,x) * z) = x * (y * z). x * y != (z \ T(z,u)) \ (((z * u) / z) * w) | x \ (u * w) = y. T(x,y) \ (x * z) = x \ (((y * x) / y) * z). x \ (((y * x) / y) * z) = T(x,y) \ (x * z). K(x \ (x / (y \ (z \ y))),x) = y \ (x * (T(x,z) \ y)). x != y * (z * u) | x = (y * z) * L(u,z,y). T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. x != T(y,z) \ (y * u) | x = y * (T(y,z) \ u). x \ (((y * x) / y) * z) = x * (T(x,y) \ z). x != y \ (((z * y) / z) * u) | x = ((z * y) / z) * (y \ u). x * (T(x,y) \ z) = ((y * x) / y) * (x \ z). ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). (x * y) \ T(x,y) = L(T(y,x) \ 1,y,x). L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). x != y \ (z * (T(z,u) \ y)) | x = T(T(z,u) \ z,y). K(x \ (x / (y \ (z \ y))),x) = T(T(x,z) \ x,y). x != K(y \ (y / z),y) | x = T(y,z \ 1) \ y. T(T(x,y) \ x,z) = T(x,(z \ (y \ z)) \ 1) \ x. T(x,(y \ (z \ y)) \ 1) \ x = T(T(x,z) \ x,y). (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. (R(x,y,x) * y) * x = (x * y) * R(x,y,x). (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. x / (y * (x / y)) = T((y \ x) * y,x) / x. T((x \ y) * x,y) / y = y / (x * (y / x)). ((x \ y) * x) / y = y / (x * (y / x)). x != y / (z * (y / z)) | x = z \ (y / (y / z)). ((x \ y) * x) / y = x \ (y / (y / x)). x != ((y \ z) * y) / z | x = (1 / z) * ((y \ z) * y). x \ (y / (y / x)) = (1 / y) * ((x \ y) * x). (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). (x * T(1 / x,y)) * z = T(1 / x,y) * ((x \ 1) \ z). T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. (x \ 1) * y = T(1 / x,z) * ((x * T(1 / x,z)) \ y). T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. x != (T(y,z) \ y) \ u | x = T(y,z) * (y \ u). L(x,T(y \ 1,z),y) = T(z,y \ 1) * (z \ (y * (T(y \ 1,z) * x))). T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). L(R(x,y,x),y,R(x,y,x)) = x. x != T(y,z \ 1) * (y \ (z * u)) | x = z * (T(y,z \ 1) * (y \ u)). L(x,T(y \ 1,z),y) = y * (T(z,y \ 1) * (z \ (T(y \ 1,z) * x))). x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). x * ((x \ 1) * y) = L(y,T(x \ 1,z),x). L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). L(x,T(y \ 1,z),y) = L(x,y \ 1,y). x != L(T(1 / y,z) \ u,T(y \ 1,z),y) | x = (y * T(1 / y,z)) \ (y * u). L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). x != T(1 / y,z) * ((y * T(1 / y,z)) \ u) | x = (y \ 1) * u. T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). K(x \ 1,x) * (y * K(x,x \ 1)) = R(y,K(x \ 1,x),(1 / x) * z). R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). x != K(y \ 1,y) * (z * K(y,y \ 1)) | x = z. R(x,K(y \ 1,y),(1 / y) * z) = x. R(x,K(y \ 1,y),z) = x. x != R(y,K(z \ 1,z),u) | x = R(y,u,K(z \ 1,z)). x = R(x,y,K(z \ 1,z)). R(x,y,K(z \ 1,z)) = x. x * (K(y \ 1,y) * z) = (x * K(y \ 1,y)) * z. (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). x != R(T(y,z / (1 / u)),z / (u \ 1),K(u \ 1,u)) | x = T(y,z / (u \ 1)). T(x,y / (1 / z)) = T(x,y / (z \ 1)). x != R(R(y,z,(u \ 1) \ 1),z * T(u,u \ 1),K(u \ 1,u)) | x = R(y,z,u). R(x,y,(z \ 1) \ 1) = R(x,y,z). x \ K(y \ 1,y) = (x \ 1) * K(y \ 1,y). (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). R(x,y,K(z,z \ 1)) = x. x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). x != R(T(y,z * K(u,u \ 1)),z,K(u,u \ 1)) | x = T(y,z). T(x,y * K(z,z \ 1)) = T(x,y). x * (y * K(z,z \ 1)) = (x * y) * K(z,z \ 1). (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1). R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. x != (y * K(z \ 1,z)) * u | x = K(z \ 1,z) * (y * u). x * (K(y \ 1,y) * z) = K(y \ 1,y) * (x * z). K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). L(K(x,x \ 1),y,z) = K(x,x \ 1). x * y != K(L(z,u,w),L(z,u,w) \ 1) | x \ K(z,z \ 1) = y. L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). x * y != L(z,u,w) \ K(z,z \ 1) | x \ (1 / L(z,u,w)) = y. x \ (1 / L(x,y,z)) = L(x,y,z) \ (1 / x). L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). x != y \ (z * K(u,u \ 1)) | x = (K(u \ 1,u) * y) \ z. (x \ y) * K(z,z \ 1) = (K(z \ 1,z) * x) \ y. (K(x \ 1,x) * y) \ z = (y \ z) * K(x,x \ 1). L(K(x \ 1,x) * y,z,u) = (u * z) \ (u * (K(x \ 1,x) * (z * y))). (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(K(z \ 1,z) * u,y,x). x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). x \ T(x * (y / x),z) = T(y,z) / x. x \ T(x * y,z) = T(y * x,z) / x. T(x * y,z) / y = y \ T(y * x,z). (x \ T(x * (y / x),z)) * x = T(y,z). x * (y * (T(z,x) / y)) = (y * (z / y)) * x. (x \ T(x * y,z)) * x = T(y * x,z). T(x \ T(x * y,z),x) = x \ T(y * x,z). (x \ T(y,z)) * x = T((x \ y) * x,z). T((x \ y) * x,z) = (x \ T(y,z)) * x. x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. ((x * T((y \ z) * y,x)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. x * (y * ((x \ z) / y)) = (y * ((z / x) / y)) * x. (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). x * ((y \ (x \ z)) * y) = ((y \ (z / x)) * y) * x. ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). x != ((y \ (z / u)) * y) * u | x = ((y \ (z * (u \ 1))) * y) / (u \ 1). x * ((y \ (x \ z)) * y) = ((y \ (z * (x \ 1))) * y) / (x \ 1). ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). ((x \ (y / z)) * x) * z != u | u = z * ((x \ (z \ y)) * x). ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). x != (y * z) \ (y * (K(u \ 1,u) * (z * w))) | x = L(K(u \ 1,u) * w,z,y). L(x,y,z) * K(u \ 1,u) = L(K(u \ 1,u) * x,y,z). L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). L(x,y,z) = K(u \ 1,u) * L(x * K(u,u \ 1),y,z). K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). x != K(y \ 1,y) * L(z * K(y,y \ 1),u,w) | x = (y \ L(y * (z / y),u,w)) * y. L(x,y,z) = (u \ L(u * (x / u),y,z)) * u. (x \ L(x * (y / x),z,u)) * x = L(y,z,u). x * (L(y,z,u) / x) = L(x * (y / x),z,u). L(x * (y / x),z,u) = x * (L(y,z,u) / x). (x \ L(y,z,u)) * x = L((x \ y) * x,z,u). L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). x != L((y \ ((z \ 1) \ 1)) * y,z \ 1,z) | x = z * (y \ (z / (z / y))). (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). (x \ (1 \ y)) * x = y * (x \ (y / (y / x))). x * (y \ (x / (x / y))) = (y \ (1 \ x)) * y. x * (y \ (x / (x / y))) = (y \ x) * y. x * y != (z \ x) * z | y = K(z \ x,z). x \ (y / (y / x)) = K(x \ y,x). T(K(x \ y,x),y) = K(x \ y,x). T(x,K(y \ x,y)) = x. T(x * y,K(y,x)) = x * y. (x * y) / (y * x) = K(x,y). K(x,y) = (x * y) / (y * x). x != (y * z) / (z * y) | x = T(z,y) \ z. K(x,y) = T(y,x) \ y. x != T(y,z \ 1) \ y | x = K(y \ (y / z),y). K(x \ 1,y) = K(y \ (y / x),y). K(x \ (x / y),x) = K(y \ 1,x). x != T(y,z) \ y | x = ((y * z) / y) \ z. K(x,y) = ((y * x) / y) \ x. x != T(y,z) \ y | x = y / T(y,z). K(x,y) = y / T(y,x). x != T(y,z) \ y | x = (1 / T(y,z)) * y. K(x,y) = (1 / T(y,x)) * y. x != T(y,z) \ y | x = y * (T(y,z) \ 1). K(x,y) = y * (T(y,x) \ 1). x != T(y,(z \ (u \ z)) \ 1) \ y | x = T(T(y,u) \ y,z). K((x \ (y \ x)) \ 1,z) = T(T(z,y) \ z,x). T(T(x,y) \ x,z) = K((z \ (y \ z)) \ 1,x). x != T(y,z) \ y | x = z \ T(z,y). K(x,y) = x \ T(x,y). x != T(y,z \ 1) \ y | x = z * T(z \ 1,y). K(x \ 1,y) = x * T(x \ 1,y). x * T(x \ 1,y) = K(x \ 1,y). x != T(y,T(z,y)) \ y | x = z \ T(z,y). K(T(x,y),y) = x \ T(x,y). x != T(y \ 1,z) \ (y \ 1) | x = y \ (T(1 / y,z) \ 1). K(x,y \ 1) = y \ (T(1 / y,x) \ 1). x \ (T(1 / x,y) \ 1) = K(y,x \ 1). x * y != T(z,u) \ z | x \ K(u,z) = y. x \ K(y,x) = T(x,y) \ 1. T(x,y) \ 1 = x \ K(y,x). T(x,y) * K(y,x) = x. x / K(y,x) = T(x,y). T(x,y) = x / K(y,x). L(K(x,y),T(y,x),z) = (z * T(y,x)) \ (z * y). K((1 / x) \ y,y) = T(y,y * x) \ y. (x \ 1) * K(y,x) = T(x,y) \ 1. K(x,y) * T(y,x) = y. K(x,y) \ y = T(y,x). T(x,y) = K(y,x) \ x. K(x,y) * (y \ 1) = T(y,x) \ 1. x * K(T(x,y),y) = T(x,y). K(x,y) = T(y,T(x,y)) \ y. T(x * K(y,x),y) = x. (x * y) / x = y * K(x,y). x * (K(x,y) * z) = T(x,y) * z. T(x,y) * (x \ z) = K(x,y) * z. K(x / y,z) * x = y * T(y \ x,z). T(K(x \ 1,y),z) = K(y \ (y / T(x,z)),y). K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z). x * K(y \ 1,x) = y * ((x \ (y \ x)) * x). x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). K(x,y) * z = y * (T(y,x) \ z). x * (T(x,y) \ z) = K(y,x) * z. K(x * K(y,y \ 1),z) = z / T(z,x). x != y \ T(y,L(z,u,w) \ 1) | x = L(y \ T(y,z \ 1),u,w). K(x,L(y,z,u) \ 1) = L(x \ T(x,y \ 1),z,u). L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). x != y \ T(y,z \ 1) | x = z * ((y * (z \ 1)) / y). K(x,y \ 1) = y * ((x * (y \ 1)) / x). x * ((y * (x \ 1)) / y) = K(y,x \ 1). x != y \ T(y,z) | x = (1 / y) * T((1 / y) \ 1,z). K(x,y) = (1 / x) * T((1 / x) \ 1,y). x != y \ T(y,z) | x = T(y,z) * (y \ 1). K(x,y) = T(x,y) * (x \ 1). x != y \ T(y,T(z,u) \ 1) | x = T(y \ T(y,z \ 1),u). K(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). x * y != z \ T(z,u) | x \ K(z,u) = y. T(x,y) \ K(x,y) = x \ 1. x * K(x,y) = T(x,y). T(x,y) = x * K(x,y). K(L(x,y,z),u) = L(x,y,z) \ L(T(x,u),y,z). L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). L(K(x,y),x,z) = (z * x) \ (z * T(x,y)). (x * y) \ (x * T(y,z)) = L(K(y,z),y,x). L(K(x,y),x,z / x) = z \ ((z / x) * T(x,y)). x * (y * T(K(y,x),z)) = (x * y) * T(K(y,x),z). (x * y) * T(K(y,x),z) = x * (y * T(K(y,x),z)). K(x,y) * x = T(x,y). T(x,y) = K(x,y) * x. K(x,y) * x != z | T(x,y) = z. (x * K(y,x)) * y = y * x. K(x,y) * y = (x * y) / x. (x * y) / x = K(x,y) * y. (x \ y) * K(x,x \ y) = y / x. K(x,x / y) = x \ T(x,y \ x). x \ T(x,y \ x) = K(x,x / y). K(x,y) \ z = x * (T(x,y) \ z). x * (T(x,y) \ z) = K(x,y) \ z. K(x,y \ 1) = x \ T(x,z / (y * z)). x \ T(x,y / (z * y)) = K(x,z \ 1). K(x,y * K(z,z \ 1)) = x \ T(x,y). T(x,y) \ x != z | z = K(y,x). T(x,y) \ x != z | K(y,x) = z. T(x,y) * y = x * (y * K(x,y)). x * (y * K(x,y)) = T(x,y) * y. x != K(y \ z,y) \ y | x = T(y,(z \ y) \ 1). T(x,x \ y) = T(x,(y \ x) \ 1). T(x,(y \ x) \ 1) = T(x,x \ y). x != K(y,z) \ z | x = 1 / (z \ K(y,z)). T(x,y) = 1 / (x \ K(y,x)). T(x,y) = T(T(x * K(z,x),y),z). T(T(x * K(y,x),z),y) = T(x,z). x * T(y,z) = T(y * K(x,y),z) * x. T(x * K(y,x),z) * y = y * T(x,z). (x * T(y,z)) / x = T(y * K(x,y),z). T(x * K(y,x),z) = (y * T(x,z)) / y. x * L(y,z,u) = L(y * K(x,y),z,u) * x. L(x * K(y,x),z,u) * y = y * L(x,z,u). T(x,L(y,z,u)) = T(x,L(y * K(x,y),z,u)). T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). T(x,y) != x * z | K(x,y) = z. x \ T(x,y) != z | z = K(x,y). x \ T(x,y) != z | K(x,y) = z. x != T(T(y,z),u) | x = T(T(y,u),z). K(T(x,y),z) * T(x,y) = T(T(x,z),y). (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. x != y \ T(y,z) | x = K(y,z). K(T(x,y),y) = K(x,y). x != K(T(y,T(z,y)),T(z,y)) | x = K(y,z). K(x,T(y,x)) = K(x,y). x != K(T(y,y \ z),y \ z) | x = K(y,z / y). K(x,x \ y) = K(x,y / x). K(x,y / x) = K(x,x \ y). K(x \ y,x) = K(y / x,x). K(x / y,y) = K(y \ x,y). K(x,y) \ 1 = K(y,x). K(x,y) \ 1 != z | K(y,x) = z. K(x \ y,(x \ y) \ y) = K(x \ y,x). K(x,y) = K(x,y * K(x,y)). K(x,y * K(x,y)) = K(x,y). 1 / K(x,y) = K(y,x). 1 / K(x,y) != z | z = K(y,x). 1 / K(x,y) != z | K(y,x) = z. T((x * K(y,z)) \ x,u) = L(T(K(z,y),u),K(y,z),x). (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). K(x,T(y,x)) != z | K(x,y) = z. 1 / (x \ K(y,x)) != z | z = T(x,y). 1 / (x \ K(y,x)) != z | T(x,y) = z. K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). K(x,x * y) = T(x,y * x) * (x \ 1). T(x,y * x) * (x \ 1) = K(x,x * y). K(K(x,y),z) = T(K(x,y),z) * K(y,x). T(K(x,y),z) * K(y,x) = K(K(x,y),z). T(x,y) * (x \ 1) != z | z = K(x,y). T(x,y) * (x \ 1) != z | K(x,y) = z. (x * y) / x != z | z = y * K(x,y). (x * y) / x != z | y * K(x,y) = z. x * K(y,y \ x) = y * (x / y). x != K(y / z,z) | x = (z * (y / z)) \ y. K(x \ y,x) = (x * (y / x)) \ y. (x * (y / x)) \ y = K(x \ y,x). x * T(x \ 1,y) != z | K(x \ 1,y) = z. K(x \ (x / y),x) != z | K(y \ 1,x) = z. L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. (x * T(x \ y,z)) / y != u | K(y / x,z) = u. K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w. K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). x != K(y \ (y / (z / u)),y) | x = (z * T(z \ u,y)) / u. K((x / y) \ 1,z) = (x * T(x \ y,z)) / y. (x * T(x \ y,z)) / y = K((x / y) \ 1,z). x * T(x \ y,z) = y * K((y \ x) \ 1,z). (x * y) * K(((x * y) \ x) \ 1,z) = x * T(y,z). K((x / y) \ 1,z) * y = x * T(x \ y,z). K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * K(y \ 1,z)) * z. (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u. x \ (T(x,y) * z) = K(x,y) * z. x * y != z * T(u,z) | x \ (u * z) = y. x \ (y * T(x,z)) = K(x,z) * T(y,T(x,z)). K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)). x \ y = K(x,z) * (T(x,z) \ y). K(x,y) * (T(x,y) \ z) = x \ z. x * y != T(x,z) * (u * x) | y = T(x,z) * T(u,x). K(x,y) * (z * x) = T(x,y) * T(z,x). (x * y) * z != T(x * y,x) * T(x,y) | z = R(x,y,x). K(x * y,x) * T(x,y) = R(x,y,x). (x \ y) / (T(x,z) \ y) = K(x,z). T(x,y) * K(x,z) = K(x,y) * T(x,z). K(x,y) * T(x,z) = T(x,y) * K(x,z). T(x,y) \ z = K(y,x) * (x \ z). K(x,y) * (y \ z) = T(y,x) \ z. x != y * (T(y,z) \ u) | x = ((z * y) / z) * (y \ u). K(x,y) * z = ((x * y) / x) * (y \ z). ((x * y) / x) * (y \ z) = K(x,y) * z. K(x,y \ x) = K(x,x / y). K(x,x / y) = K(x,y \ x). K(x,x / (x / y)) = K(x,y). x != y * (T(y,z) \ u) | x = K(z,y) * u. K(x,y) \ z = K(y,x) * z. (x \ 1) / (x \ K(x,y)) = K(y,x). x \ 1 = K(y,x) * (x \ K(x,y)). K(x,y) * (y \ K(y,x)) = y \ 1. x / (K(y,z) * x) = K(z,y). T(x,K(y,z)) = K(z,y) * (x * K(y,z)). K(x,y) * (z * K(y,x)) = T(z,K(y,x)). K(x,y) * (K(y,x) * z) = z. K(x,y) * (K(y,x) * z) != u | u = z. K(x,y) * z != u | z = K(y,x) * u. K(x,y) * z != u | K(y,x) * u = z. K(x,y) != z | z = K(y,x) \ 1. K(x,y) != z | K(y,x) \ 1 = z. K(x,y) * z != K(y,u) * K(x,y) | z = K(y,u). K(x,y) * (K(x,z) * K(y,x)) = K(x,z). L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). T(x,x \ y) / (y \ x) = x * (y / x). (T(x,y \ 1) / y) \ (x / y) = K(x \ (x / y),x). K(x \ (x / y),x) = (T(x,y \ 1) / y) \ (x / y). (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). (x \ 1) / (x \ K(x,y)) != z | z = K(y,x). (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. T(x,y) * K(x * y,x) = R(x,y,x). K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. L(K(x * y,x),T(x,y),z) = (z * T(x,y)) \ (z * R(x,y,x)). (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). x * K(y,x \ 1) = T(1 / x,y) \ 1. T(1 / x,y) \ 1 = x * K(y,x \ 1). x != T(y,z) \ y | x = K(z,y). K((1 / x) \ y,y) = K(y * x,y). K(x \ y,y) = K(y * (x \ 1),y). K(x * (y \ 1),x) = K(y \ x,x). x / (y * T(y \ x,z)) = K(z,x / y). x != y / T(y,z) | x = K(z,y). K(x * K(y,y \ 1),z) = K(x,z). K(x * K(y \ 1,y),z) = K(x,z). K((1 / x) * y,z) = K((x \ 1) * y,z). K(x \ K(y \ 1,y),z) = K(x \ 1,z). x != R(y,z,u) * ((w * (R(y,z,u) \ 1)) / w) | x = R(y * ((w * (y \ 1)) / w),z,u). K(x,R(y,z,u) \ 1) = R(y * ((x * (y \ 1)) / x),z,u). R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). K(x,(y * z) \ 1) = y * (z * ((x * (z \ (y \ 1))) / x)). x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). K(x,y / (z * y)) = K(x,z \ 1). K(x,(y \ z) / z) = K(x,y \ 1). K(x,y / z) = K(x,(z / y) \ 1). K(x,(y / z) \ 1) = K(x,z / y). K(x,(y * z) / (u * z)) = K(x,R(u / y,y,z) \ 1). K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). K(x,y * K(z,z \ 1)) = K(x,y). K(x,K(y,y \ 1) * z) = K(x,z). K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). x * (y * z) != (y * z) * T(y,z) | x = R(y,z,y). T(x * K(x * y,x),y) = R(x,y,x). T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. T(T(x,y),z) != u | T(T(x,z),y) = u. K(x,y * x) = K(x,x * y). x != T(y,z) * u | x = y * (K(y,z) * u). K(x,y) * (z * x) = x * (K(x,y) * T(z,x)). x * (K(x,y) * T(z,x)) = K(x,y) * (z * x). K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. ((x * y) / x) * z = K(x,y) * (y * z). K(x,y) * (y * z) = ((x * y) / x) * z. T(x,x \ (y * x)) / ((y * x) \ x) = x * y. x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). K(x \ ((y \ 1) * y),z) = K(x \ 1,z). K(x,y) * (y * z) = (K(x,y) * y) * z. (K(x,y) * y) * z = K(x,y) * (y * z). R(K(x,y),y,z) = K(x,y). L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. T(K(x,y),z) = K((z \ (x \ z)) \ 1,y). K((x \ (y \ x)) \ 1,z) = T(K(y,z),x). K((x \ y) \ 1,z) = T(K(x / y,z),x). T(K(x / y,z),x) = K((x \ y) \ 1,z). T(K(x / y,z),x) \ 1 = K(z,(x \ y) \ 1). K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). 1 / T(K(x,y),z) = K(y,T(x \ 1,z) \ 1). K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). T(K(x,y \ 1),z) = K(x,T(y,z) \ 1). K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). K(x,T(1 / y,z) \ 1) = T(K(x,y),z). x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). K(x,y * K(z,y \ 1)) = T(K(x,y),z). x * y != y * z | x = z * K(y,z). L(x * K(y,x),z,u) = L(x,z,u) * K(y,L(x,z,u)). L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). x * y != (z * L(u,w,v5)) / z | L(u * K(z,u),w,v5) / y = x. L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). K(L(x,y,z),u) = L(x * K(u,x),y,z) \ L(x,y,z). L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). x * (y * T(y \ (x \ z),u)) = z * K((z \ (x * y)) \ 1,u). x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). x * K((x \ (y * z)) \ 1,y) = ((y \ (x / z)) * y) * z. ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). K(x,(y * (z \ 1)) \ u) = K(x,(y * (1 / z)) \ u). K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). T(x,T(y,x)) / ((y * x) \ x) = x * y. T(x,y) / ((y * x) \ x) = x * y. (x * y) \ T(x,y) = (y * x) \ x. x != (y * z) \ T(y,z) | x = L(T(z,y) \ 1,z,y). (x * y) \ y = L(T(x,y) \ 1,x,y). L(T(x,y) \ 1,x,y) = (x * y) \ y. x != K(y,T(z \ 1,u) \ 1) | x = T(K(y,z),u). 1 / T(K(x,y),z) = T(K(y,x),z). T(K(x,y),z) \ 1 = T(K(y,x),z). K(x,K(y,z)) = T(K(z,y),x) * K(y,z). T(K(x,y),z) * K(y,x) = K(z,K(y,x)). x != T(K(y / z,u),y) \ 1 | x = K(u,(y \ z) \ 1). T(K(x,y / z),y) = K(x,(y \ z) \ 1). K(x,K(y,z)) = K(y,z) * T(K(z,y),x). K(x,y) * T(K(y,x),z) = K(z,K(x,y)). L(T(K(x,y),z),K(y,x),z) = (K(y,x) * z) \ z. x != T(K(y,z),u) * K(z,y) | x = K(K(y,z),u). K(x,K(y,z)) = K(K(z,y),x). K(K(x,y),z) = K(z,K(y,x)). K(x,K(y,z)) \ 1 = K(x,K(z,y)). T(K(x,y),z) = K(x,y) * K(z,K(y,x)). K(x,y) * K(z,K(y,x)) = T(K(x,y),z). T(x,K(y,z)) = x * K(K(z,y),x). x * K(K(y,z),x) = T(x,K(z,y)). K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. T(K(x,y),y * z) = K(x,((y * z) \ z) \ 1). K(x,y) * T(K(y,x),z) != u | u = K(z,K(x,y)). K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. K(K(x,y),z) != u | K(z,K(y,x)) = u. T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. x * K(y,(x \ z) \ 1) = K(y,(z / x) \ 1) * x. K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). K(x,y) * K(y,((x * z) \ z) \ 1) = K(x * z,K(x,y)). K((x / y) \ 1,z) != u | K(y / x,z) = u. K(x \ 1,y) != z | K(1 / x,y) = z. T(x,K(y,y \ 1)) != z | z = x. T(x / y,y) != z | z = y \ x. T(x / y,y) != z | y \ x = z. L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). x != L(K(y,y \ 1),z,u) | x = K(y,y \ 1). K(x,L(x,y,z) \ 1) = K(x,x \ 1). L(K(x,y),z,u) = K(x,L(1 / y,z,u) \ 1). K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). L(K(x,y),z,u) = K(x,L(y \ 1,z,u) \ 1). K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). T(x,L(x,y,z) \ 1) = K(x,x \ 1) * x. K(x,T(y,L(y,z,u) \ 1)) = K(x,y). K(x,(y \ z) \ 1) = L(K(x,z \ y),z \ y,z). L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). (x * y) / (y * K(z,y)) = (x / (y * K(z,y))) * y. R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). R(K(x,y),z,u) = K(R(1 / x,z,u) \ 1,y). K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). R(R(K(x,y),z,u),w,v5) = K(R(R(1 / x,z,u),w,v5) \ 1,y). K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). x * T(y,z) != (x * y) * u | K(((x * y) \ x) \ 1,z) = u. (x * y) * z != x * T(y,u) | K(((x * y) \ x) \ 1,u) = z. x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. K(x \ 1,y) = (T(y,x \ 1) / x) \ (y / x). (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). x != (T(y,z \ 1) / z) \ (y / z) | x = K(z \ 1,(1 / z) \ (y / z)). K(x \ 1,y) = K(x \ 1,(1 / x) \ (y / x)). K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). x * K(y \ 1,x * y) = (1 / y) * (x / (1 / y)). (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). R(K(x,y),x,z) != u | K(x,y) = u. x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). R(x,K(y,z),z) = ((x * K(y,z)) / (z * K(y,z))) * z. ((x * K(y,z)) / (z * K(y,z))) * z = R(x,K(y,z),z). (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. x != (1 / (1 / y)) * (z / (1 / (1 / y))) | x = y * (z / y). x * K((1 / y) \ 1,x * (1 / y)) = y * (x / y). K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). x * K(y,x * (1 / y)) = y * (x / y). x * y != z * (x / z) | y = K(z,z \ x). K(x,y * (1 / x)) = K(x,x \ y). 1 / K(x,x \ y) = K(y * (1 / x),x). K(x * (1 / y),y) = 1 / K(y,y \ x). x != 1 / K(y,z) | x = K(z,y). K(x * (1 / y),y) = K(y \ x,y). K(x * y,y \ 1) = K((y \ 1) \ x,y \ 1). K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). x != K((y \ 1) \ z,y \ 1) | x = K(y * z,y \ 1). K(x * y,y \ 1) = K(y * x,y \ 1). K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). x != K(y,z * K(u,z \ 1)) | x = T(K(y,z),u). T(K(x,y),z * y) = T(K(x,y),y * z). T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). K(x * y,K(y,z)) = K(K(z,y),y * x). K(K(x,y),y * z) = K(z * y,K(y,x)). K(x * y,K(x,z)) = K(y * x,K(x,z)). K(x * y,K(y,z)) = K(y * x,K(y,z)). x != L(T(K(y,z),u),K(z,y),u) | x = (K(z,y) * u) \ u. T((x * K(y,z)) \ x,x) = (K(y,z) * x) \ x. R(x,y,K(z,y)) * y = R(x * y,K(z,y),y). R(x * y,K(z,y),y) = R(x,y,K(z,y)) * y. R(x * y,K(z,y),y) != u * y | R(x,y,K(z,y)) = u. (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. T(x,y) = R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)). R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). R(K(x,y),z,u) = K(x,R(1 / y,z,u) \ 1). K(x,R(1 / y,z,u) \ 1) = R(K(x,y),z,u). R(K(x,y / z),u,w) = K(x,R(z / y,u,w) \ 1). K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). x != K(y,R(z / u,u,w) \ 1) | x = K(y,(u * w) / (z * w)). R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). R(K(x,y),z,u) = K(x,(z * u) / ((y \ z) * u)). K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). K(x,R(y,y \ z,u)) = R(K(x,y),z,u). K(x,R(y,T(y,x) \ z,u)) = R(K(x,T(y,x)),z,u). K(x,R(y,z,u)) = R(K(x,y),y * z,u). R(K(x,y),y * z,u) = K(x,R(y,z,u)). x != K(y,z / u) | x = K(y,(u / z) \ 1). R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). K(x,R(y,T(y,x) \ z,u)) = R(K(x,y),z,u). R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). x * ((y \ (x \ z)) * y) = z * K((z \ (y * x)) \ 1,y). x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. K(L(x,y,z) \ 1,u) = L(K(x \ 1,u),y,z). L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). L(K(x,y),z,u) = K(L(x \ 1,z,u) \ 1,y). K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). L(K(x,y),z,u) \ 1 = K(y,L(x \ 1,z,u) \ 1). K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. L(K(x,y),z,u) \ w = K(y,L(x \ 1,z,u) \ 1) * w. K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. x != K(y,L(z \ 1,u,w) \ 1) | x = L(K(y,z),u,w). L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). 1 / L(K(x,y),z,u) = L(K(y,x),z,u). 1 / L(K(x,y),z,u) != w | w = L(K(y,x),z,u). 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. L(K(x,y),z,u) \ 1 != w | w = L(K(y,x),z,u). L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. L(K(x,y),z,u) * w = L(K(y,x),z,u) \ w. L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. x != L(K(y,z),u,w) * K(z,v5) | x = K(z,v5) * L(K(y,z),u,w). L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). K((((x \ y) * z) / (y * z)) \ 1,u) = R(R(K(x,u),x,x \ y),y,z). R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. (x \ 1) * (K(x,y) * z) = K(x,y) * ((x \ 1) * z). K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). x != K(y,z) * T(K(z,y),u) | x = K(u,K(y,z)). (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). x != (y * z) * ((u \ L(w,z,y)) * u) | x = y * (z * ((u \ w) * u)). (x * K(y \ 1,z)) * z = x * (y * ((z \ (y \ z)) * z)). x * (y * ((z \ (y \ z)) * z)) = (x * K(y \ 1,z)) * z. x * (y * K(z \ 1,y)) = (x * K(z \ 1,y)) * y. (x * K(y \ 1,z)) * z = x * (z * K(y \ 1,z)). R(x,K(y \ 1,z),z) = x. R(x,K(y,z),z) = x. R(x,y,K(z,y)) = x. x * (y * K(z,y)) = (x * K(z,y)) * y. (x * K(y,z)) * z = x * (z * K(y,z)). x * (y * K(z,y)) = (x * y) * K(z,y). (x * y) * K(z,y) = x * (y * K(z,y)). L(K(x,y),y,z) = K(x,y). x != y * (z * K(u,z)) | x = (y * K(u,z)) * z. (x * y) * K(z,y) = (x * K(z,y)) * y. (x * K(y,z)) * z = (x * z) * K(y,z). (x * (y \ z)) * K(y,y \ z) = x * (z / y). x != K(y,z) | x = K(y,z * K(y,z)). L(K(x,y),y,z) = K(x,y * K(x,y)). a(x,y,K(z,y)) = 1. x != L(K(y,z \ u),z \ u,z) | x = K(y,(u \ z) \ 1). K(x,y \ z) = K(x,(z \ y) \ 1). K(x,(y \ z) \ 1) = K(x,z \ y). L(K(x,y),z,u) = L(L(K(x,y),z,u),y,w). L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). K(x,y) \ 1 = L(K(y,x),y,z). L(K(x,y),x,z) = K(y,x) \ 1. a(x,T(y,z),K(z,y)) = 1. L(K(x,y),T(y,x),z) = K(x,y). x != K(y,z) \ 1 | x = K(z,y). L(K(x,y),x,z) = K(x,y). x != L(K(y,z),y,u) | x = (u * y) \ (u * T(y,z)). K(x,y) = (z * x) \ (z * T(x,y)). (x * y) \ (x * T(y,z)) = K(y,z). x != L(K(y,z),y,u / y) | x = u \ ((u / y) * T(y,z)). K(x,y) = z \ ((z / x) * T(x,y)). x \ ((x / y) * T(y,z)) = K(y,z). (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). x != L(K(y,z),T(z,y),u) | x = (u * T(z,y)) \ (u * z). K(x,y) = (z * T(y,x)) \ (z * y). (x * T(y,z)) \ (x * y) = K(z,y). x != K(y,z) | x = K(z,y) \ 1. K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). L(K(x,y \ z),u,w) = K(x,L(z \ y,u,w) \ 1). K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). x * K(y,z \ x) = z * ((y * (z \ x)) / y). K(x,y) * K(y,z \ (x * z)) = K(x * z,K(x,y)). (x * y) * K(y,z) = x * T(y,z). x \ (y * T(y \ x,z)) = K(y \ x,z). x * K(y,z) = (x / y) * T(y,z). (x / y) * T(y,z) = x * K(y,z). (x * T(y,z)) * K(z,y) = x * y. (x * T(x \ y,z)) \ y = K(z,x \ y). ((x / y) * T(y,z)) \ x = K(z,y). K(((x * y) \ x) \ 1,z) = K(y,z). x * K(y \ x,z) = y * T(y \ x,z). x * T(x \ y,z) = y * K(x \ y,z). K(x,y) * z != u * T(x,y) | T(u * x,K(x,y)) = z. T(x * y,K(y,z)) = K(y,z) \ (x * T(y,z)). K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). x * T(x \ y,z) != u | y * K(x \ y,z) = u. x != (y / z) * T(z,u) | x = (y * T(z,u)) / z. x * K(y,z) = (x * T(y,z)) / y. (x * T(y,z)) / y = x * K(y,z). (x * K(y,z)) * y = x * T(y,z). (x * K(y,z)) \ (x * T(y,z)) = y. x * K(y,z) = (x / T(z,y)) * z. (x / T(y,z)) * y = x * K(z,y). (x * K(y,z)) \ x = K(z,y). (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). (x * K(y,z)) * K(z,y) = x. x / K(y,z) = x * K(z,y). (x * K(y,z)) * K(z,y) != u | u = x. x / K(y,z) != u | u = x * K(z,y). x / K(y,z) != u | x * K(z,y) = u. L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). T(K(x,y),z) = (K(y,x) * z) \ z. (K(x,y) * z) \ z = T(K(y,x),z). (x * (y * K(z,y))) \ (x * y) = K(y,z). a(x,y * K(z,u),K(u,z)) = (x * y) \ ((x * (y * K(z,u))) * K(u,z)). (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y * K(z,u),K(u,z)). (x * K(y,z)) \ x != u | u = K(z,y). (x * K(y,z)) \ x != u | K(z,y) = u. x / K(y,z) != x * u | K(z,y) = u. K((x \ y) \ 1,z) = K(y \ x,z). T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. x != y * T(z,u) | x = (y * z) * K(z,u). (x * K(y,z)) * y = (x * y) * K(y,z). x * y != (y \ T(z,y)) * T(y,z) | x = y \ z. (x \ T(y,x)) * K(x,y) = x \ y. (x * y) * z = (x * T(y,z)) * T(z,y). (x * T(y,z)) * T(z,y) = (x * y) * z. L(x,K(x,y),z) = x. (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). x * K(y,z) != u * z | x / T(z,y) = u. (K(x,y) * z) * T(K(y,x),z) = z. x != K((y \ (z \ y)) \ 1,u) | x = T(K(z,u),y). K((x \ y) \ y,z) = T(K(x,z),y). K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). T(x,(y \ z) \ 1) = K(z \ y,x) \ x. x \ T(x * y,z) = y * K((x \ 1) \ y,z). x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). L(K(x \ y,z),u,w) = K(L(y \ x,u,w) \ 1,z). K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). x * K(y,z) != u | x = u * K(z,y). x \ T(y,x) = (x \ y) * K(y,x). (x \ y) * K(y,x) = x \ T(y,x). K(T(x,x \ y),z) = T(K(x,z),y). x * K(y * x,y) = y \ T(y * x,y). x \ T(x * y,x) = y * K(x * y,x). T(x,y) * K(y,T(x,y)) != z | z = x. L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. (x * (y * K(z,y))) \ (x * y) != u | K(y,z) = u. T(T(x,K(y,z)),K(z,y)) != u | u = x. K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). x \ (y * T(y \ x,z)) != u | u = K(y \ x,z). x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. x * y != (z * u) * L(w,u,z) | x \ (z * (u * w)) = y. (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). x != K(y,z) \ z | x = T(z,y). T(x,(y \ z) \ 1) = T(x,z \ y). T(x,y \ 1) = T(x,(z * y) \ z). T(x,(y * z) \ y) = T(x,z \ 1). K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u. x != (y * z) * ((y * ((y * z) \ u)) / y) | x = (y * ((u / z) / y)) * z. x * K(y,(y * z) \ x) = (y * ((x / z) / y)) * z. (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). x != K(y,z) \ (u * T(y,z)) | x = y * T(u,T(y,z)). T(x * y,K(y,z)) = y * T(x,T(y,z)). T(x,K(y,z)) = y * T(x / y,T(y,z)). x * T(y / x,T(x,z)) = T(y,K(x,z)). x \ T(y,K(x,z)) = T(y / x,T(x,z)). x * y != z \ T(z * x,z) | y = K(z * x,z). K((x \ 1) \ y,x) = K(x * y,x). T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). K(x,y) * z != K(u,K(x,y)) | z = T(K(y,x),u). K(x,T(y,z)) = T(K(x,y),y * z). T(K(x,y),y * z) = K(x,T(y,z)). T(K(x,y),z) = K(x,T(y,y \ z)). K(x,T(y,y \ z)) = T(K(x,y),z). K(x,y) * K(y,T(x,z)) != u | K(x * z,K(x,y)) = u. x * y != z * ((u \ (z \ x)) * u) | y = K((u * z) \ x,u). K((x * y) \ z,y) = K((y * x) \ z,y). (x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z). 1 / K((x * y) \ z,x) = K(x,(y * x) \ z). K(x,(x * y) \ z) = K(x,(y * x) \ z). K(x,(y * x) \ z) = K(x,(x * y) \ z). K(x,(y * x) \ z) != u | K(x,(x * y) \ z) = u. x != K(y,L(z \ u,w,v5) \ 1) | x = L(K(y,u \ z),w,v5). K(x,(y * z) \ (y * u)) = L(K(x,z \ u),u,y). L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). L(K(x,y),z,u) = K(x,(u * (z / y)) \ (u * z)). K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). K(x,L(y,z / y,u)) = L(K(x,y),z,u). x != L(K(y,z),u,w) | x = L(K(z,y),u,w) \ 1. K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. K(x,L(y,z,u)) = L(K(x,y),z * y,u). L(K(x,y),z * y,u) = K(x,L(y,z,u)). x != L(K(y,z),u,w) | x = L(L(K(y,z),u,w),z,v5). K(x,L(y,z,u)) = L(L(K(x,y),z * y,u),y,w). L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). T(x,K(y,L(x,z,u))) = x. K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. x != K(L(y \ z,u,w) \ 1,v5) | x = L(K(z \ y,v5),u,w). K((x * y) \ (x * z),u) = L(K(y \ z,u),z,x). L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). L(K(x,y),z,u) = K((u * (z / x)) \ (u * z),y). K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). x != L(K(y,L(z,u,w)),z,v5) | x = K(y,L(z,u,w)). K(x \ (y * z),L(z,u,w)) = K((y \ x) \ z,L(z,u,w)). K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). K(L(x,y / x,z),u) = L(K(x,u),y,z). x != L(y,z,u) | x = (u * z) \ (u * (z * y)). K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). K(L(x,y,z),u) = L(K(x,u),y * x,z). L(K(x,y),z * x,u) = K(L(x,z,u),y). x != L(K(y,z),z,u) | x = K(y,z). K(L(x,y,z),y * x) = K(x,y * x). (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). x != K(y,z * y) | x = K(y,y * z). K(L(x,y,z),y * x) = K(x,x * y). x != K((1 / y) * z,u) | x = K((y \ 1) * z,u). L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z). (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). x * (y * z) != (x * (z * y)) * u | K(y,L(z,y,x)) = u. (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. K(x,(y * z) \ u) != w | L(K(x,z \ (y \ u)),y \ u,y) = w. x != L(K(y,z),z \ 1,z) | x = K(y,z). K((x * y) \ 1,x) = K(y \ (x \ 1),x). x * K((y * z) \ x,u) = y * ((y \ x) * K(z \ (y \ x),u)). x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). x != K((y * z) \ 1,y) | x = ((y \ (1 / z)) * y) * z. K(x \ (y \ 1),y) = ((y \ (1 / x)) * y) * x. ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). (x * L(K(y,z),u,w)) * L(K(z,y),u,w) = x. (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). x * y = (x * (y * K(z,u))) * L(K(u,z),y,x). (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. (x * (y * K(z,u))) \ (x * y) != w | w = L(K(u,z),y,x). (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). x != (y * (z * K(u,w))) \ (y * z) | x = L(K(w,u),z,y). L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). x * (y * K(z,(x \ u) \ y)) != (x * y) * w | K(z,u \ (x * y)) = w. (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,(z \ 1) \ 1). (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). (x * (y \ 1)) * K(z,y) = (x * K(z,y)) * (y \ 1). (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). R(K(x,y),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). K(R(x,x \ y,z),u) = R(K(x,u),y,z). K(R(x,y,z),u) = R(K(x,u),x * y,z). R(K(x,y),x * z,u) = K(R(x,z,u),y). K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. ((x * K(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)). (x * y) \ ((x * K(z,u)) * y) = K(((x / z) * y) \ (x * y),u). K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). K((x * y) \ (z * y),u) = (z * y) \ ((z * K(x \ z,u)) * y). (x * y) \ ((x * K(z \ x,u)) * y) = K((z * y) \ (x * y),u). (x * y) * K((z * y) \ (x * y),u) = (x * K(z \ x,u)) * y. (x * y) * z != (x * K(u,y)) * y | z = K(u,y). K((x * y) \ (z * y),y) = K(x \ z,y). (x * (y * K(z \ u,y))) \ (x * y) = K(y,(z * y) \ (u * y)). K(x,y \ z) = K(x,(y * x) \ (z * x)). K(x,(y * x) \ (z * x)) = K(x,y \ z). K(x,(x * y) \ (z * x)) = K(x,y \ z). K(x,y \ (z * x)) = K(x,(y / x) \ z). K(x,(y / x) \ z) = K(x,y \ (z * x)). K(x,y \ (z * x)) = K(x,(x \ y) \ z). K(x,(x \ y) \ z) = K(x,y \ (z * x)). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). K(x,y) = K(x,z \ (((x \ z) * y) * x)). K(x,y \ (((x \ y) * z) * x)) = K(x,z). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). x != K(y,z) | x = K((y \ 1) \ 1,z). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). x != L(K(y,z \ ((u \ w) * y)),u \ w,u) | x = K(y,(u * (z / y)) \ w). K(x,(y * (x \ z)) \ u) = K(x,(y * (z / x)) \ u). K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. R(x,y,L(x,z,u)) = T(x * K(y * L(x,z,u),x),y). T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (y / x)) \ u) = w. L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. x != (y * ((z / u) / y)) * u | x = u * (y * ((u \ z) / y)). (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). (((x \ (1 / y)) * x) * y) * z = (y * z) * ((x \ ((y * z) \ z)) * x). (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. x / (K(y \ (z \ 1),z) * x) = K(z,x / (z / ((y * x) \ 1))). K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). x != y / (K(z,u) * y) | x = K(u,z). K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). x != K(y,y / (y / z)) | x = K(y,z). K(x,y \ (x \ 1)) = K(x,(y * x) \ 1). K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). x != K(y,(z * y) \ 1) | x = z * (y * ((z \ 1) / y)). K(x,y \ (x \ 1)) = y * (x * ((y \ 1) / x)). x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). x * (y * (z * ((y \ 1) / z))) = (x * y) * (z * (((x * y) \ x) / z)). (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). ((x \ y) * x) * (T(z,x) \ z) = (x \ (y * (T(z,x) \ z))) * x. (x \ (y * (T(z,x) \ z))) * x = ((x \ y) * x) * (T(z,x) \ z). (x \ (y * K(x,z))) * x = ((x \ y) * x) * (T(z,x) \ z). ((x \ y) * x) * (T(z,x) \ z) = (x \ (y * K(x,z))) * x. ((x \ y) * x) * K(x,z) = (x \ (y * K(x,z))) * x. (x \ (y * K(x,z))) * x = ((x \ y) * x) * K(x,z). x * y != (z * y) * K(y,u) | x = z * K(y,u). x \ (y * K(x,z)) = (x \ y) * K(x,z). x * ((x \ y) * K(x,z)) = y * K(x,z). x * (y * K(x,z)) = (x * y) * K(x,z). (x * y) * K(x,z) = x * (y * K(x,z)). K(x,y \ (x * z)) = K(x,(x \ y) \ z). K(x,(x \ y) \ z) = K(x,y \ (x * z)). R(x,y,K(x,z)) = x. L(K(x,y),z,x) = K(x,y). L(x,y,z) * (u * K(x,w)) = (L(x,y,z) * u) * K(x,w). (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). K(x,(x * y) \ z) = K(x,y \ (x \ z)). x != L(K(y,z),u * y,w) | x = K(L(y,u,w),z). K(x,y) = K(L(x,z,x),y). K(L(x,y,x),z) = K(x,z). x != L(K(y,z),u * z,w) | x = K(y,L(z,u,w)). K(x,y) = K(x,L(y,z,x)). K(x,L(y,z,x)) = K(x,y). K(x,y) = K(R(x,z,x),y). K(R(x,y,x),z) = K(x,z). T(x,L(y,z,y)) = x / K(y,x). K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). L(K(x,y),z * x,u) = K(L(x,z,u),L(y,w,x)). K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). K(T(x,x \ y),z) = K(T(x,y),z). 1 / K(x,y) = K(y,R(x,z,x)). K(x,R(y,z,y)) = 1 / K(y,x). K(x,y) * (z * x) = (K(x,y) * z) * x. (K(x,y) * z) * x = K(x,y) * (z * x). x != y / K(z,u) | x = y * K(u,z). T(x,L(y,z,y)) = x * K(x,y). K(x,R(y,z,y)) = K(x,y). K(x,R(y,z,y)) != u | K(x,y) = u. x != K(y,R(z,T(z,y) \ u,w)) | x = R(K(y,z),u,w). K(x,y) = R(K(x,y),z,y). R(K(x,y),z,y) = K(x,y). K(x,T(y,y \ z)) = K(x,T(y,z)). K(x,y) * (z * y) = (K(x,y) * z) * y. (K(x,y) * z) * y = K(x,y) * (z * y). K(x,L(y,z,y)) = K(x,y). L(K(x,y),z,y) = K(x,y). K((x * y) \ z,x) = K(y \ (x \ z),x). K(x,y) = K(L(x,z,y),y). K(L(x,y,z),z) = K(x,z). K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). T(x * K(y,x),L(y,z,x)) = x. T(x,y) = T(x,L(y,z,x)). T(x,L(y,z,x)) = T(x,y). T(x,(x * y) \ z) = T(x,y \ (x \ z)). x != K(T(y,y \ z),u) | x = T(K(y,u),z). K(T(x,y),z) = T(K(x,z),y). x != T(K(y,z),K(z,u)) | x = K(y,z). K(T(x,K(y,z)),y) = K(x,y). x * K(T(y,x),z) = K(y,z) * x. (K(x,y) * z) * K(T(y,z),x) = z. T(T(x,K(y,z)),y) = K(x,y) * T(x,K(y,z)). K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. x != K(y,T(z,z \ u)) | x = T(K(y,z),u). K(x,T(y,z)) = T(K(x,y),z). x != T(K(y,z),u) | x = K(T(y,u),z). K(x,T(y,z)) = K(T(x,z),y). K(T(x,y),z) = K(x,T(z,y)). x != T(K(y,(z / (y * u)) \ 1),w) | x = R(T(K(y,(z / u) \ y),w),y,u). K(x,T((y / (x * z)) \ 1,u)) = R(T(K(x,(y / z) \ x),u),x,z). R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). x != T(K(y,z),u) | x = K(y,z) * K(u,K(z,y)). K(x,T(y,z)) = K(x,y) * K(z,K(y,x)). K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). x != T(K(y,z \ 1),u) | x = K(y,T(z,u) \ 1). K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). T(K(x,T(y,z)),u) = T(T(K(x,y),u),z). T(T(K(x,y),z),u) = T(K(x,T(y,u)),z). x * K(y,T(z,x)) = K(y,z) * x. T(x,T(y,z)) = x * T(K(x,y),z). x * T(K(x,y),z) = T(x,T(y,z)). K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). (K(x,y) * z) * K(y,T(x,z)) = z. K(x,T(y,z)) \ 1 = K(y,T(x,z)). K(x,T(y,x \ z)) = T(K(x,y),z). K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). K(x \ y,z) = K(y / x,T(z,x)). K(x / y,T(z,y)) = K(y \ x,z). K(x,y) = K((z * x) / z,T(y,z)). K((x * y) / x,T(z,x)) = K(y,z). K(x,y) = K(x,T(y,K(z,L(x,u,w)))). K(x,T(y,K(z,L(x,u,w)))) = K(x,y). x != K(y,z) * u | x = K(z,y) \ u. x * K(T(y,x),z) = K(z,y) \ x. x * K(y,z) = K((x * y) / x,z) * x. K((x * y) / x,z) * x = x * K(y,z). (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). x != K(y,z) * (z \ u) | x = T(z,y) \ u. (x \ y) * K(z,T(x,x \ y)) = T(x,z) \ y. x * y != K(z,(u / x) \ 1) * x | y = K(z,(x \ u) \ 1). K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). K(x,y) * (z * K(y,T(x,z))) = z. x * K(y,x \ z) = K(y,z / x) * x. K(x,y / z) * z = z * K(x,z \ y). (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). K(x,T(y,z)) != u | K(T(x,z),y) = u. x != T(K(y,z),u) | x = K(y,T(z,u)). K(x,T(y,x \ z)) = K(x,T(y,z)). a(x,T(y,z),K(u,y)) = 1. L(K(x,y),T(y,z),u) = K(x,y). x != L(K(y * z,y),T(y,z),u) | x = (u * T(y,z)) \ (u * R(y,z,y)). K(x * y,x) = (z * T(x,y)) \ (z * R(x,y,x)). (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)). T(K(x,y),z) != u | K(T(x,z),y) = u. x != K(y,(y \ z) \ u) | x = K(y,z \ (u * y)). K(x,y \ (x * z)) = K(x,y \ (z * x)). K(x,y \ (z * x)) = K(x,y \ (x * z)). K(x,(x \ y) \ (x \ z)) = K(x,y \ z). x != K(y,(y * z) \ u) | x = K(y,(z * y) \ u). K(x,y \ (x \ z)) = K(x,(y * x) \ z). K(x,(y * x) \ z) = K(x,y \ (x \ z)). K(x,L(y,x \ 1,x) \ z) = K(x,((x \ 1) * y) \ (x \ z)). K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). L(x,y,K(x,z)) = x. x != K(y,z) * (u * y) | x = T(y,z) * T(u,y). (K(x,y) * z) * x = T(x,y) * T(z,x). x * y != K(x,z) * (u * x) | T(K(x,z) * u,x) = y. T(K(x,y) * z,x) = K(x,y) * T(z,x). (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). K(x,y) = L(K(x,y),z,K(y,u)). L(K(x,y),z,K(y,u)) = K(x,y). K(x,y) = L(K(x,y),z,K(x,u)). L(K(x,y),z,K(x,u)) = K(x,y). x != L(K((K(y,z) * u) \ w,v5),w,K(z,y)) | x = K(u \ (K(z,y) * w),v5). K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). K(x,y) = K(x,L(y,z,K(x,u))). K(x,L(y,z,K(x,u))) = K(x,y). K(x,y \ (K(x,z) * u)) = K(x,(K(z,x) * y) \ u). K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). L(x,y,K(z,x)) = x. K(x,y) = L(K(x,y),z,K(u,x)). L(K(x,y),z,K(u,x)) = K(x,y). K(x,y) = K(x,L(y,z,K(u,x))). K(x,L(y,z,K(u,x))) = K(x,y). K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). x != K((y * z) \ u,y) | x = K((z * y) \ u,y). K(x \ (y \ z),y) = K((x * y) \ z,y). K((x * y) \ z,y) = K(x \ (y \ z),y). K(x \ y,z) = K((z \ x) \ (z \ y),z). K((x \ y) \ (x \ z),x) = K(y \ z,x). x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). T(x,(y * x) \ z) = T(x,T(y,x) \ (x \ z)). T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). K(x,(y * z) \ z) = K(x,T(y \ 1,z)). K(x,T(y \ 1,z)) = K(x,(y * z) \ z). T(T(K(x,y),z),u) = K(x,T(T(y,u),z)). K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). K(x * y,K(x,z)) = K(y,K(x,z)). x != K(y * z,K(y,u)) | x = K(z * y,K(y,u)). K(x,K(y,z)) = K(x * y,K(y,z)). K(x * y,K(y,z)) = K(x,K(y,z)). K(x,y \ 1) * z = z * K(x,z \ (y \ z)). x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. K(x,y \ ((x \ z) * x)) = K(x,y \ z). L(K(x,x \ (y \ z)),y \ z,y) = K(x,y \ (x \ z)). L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). x != K(y,(z * y) \ u) | x = (z * ((y \ (z \ u)) * y)) \ u. K(x,y \ (x \ z)) = (y * ((x \ (y \ z)) * x)) \ z. (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). (x \ y) * x = T(x,z) * T(T(x,z) \ y,x). T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. K(x,y) * T(K(x,y) \ z,y) = T(z,y). T(x,y) = K(y,z) * T(K(y,z) \ x,y). K(x,y) * T(K(x,y) \ z,x) = T(z,x). x != K((y * z) \ (u * z),z) | x = K(y \ u,z). K(x \ (y \ (z * y)),y) = K(x \ z,y). T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). T(x,y) * K(y,z) = T(x * K(y,z),y). T(x * K(y,z),y) = T(x,y) * K(y,z). x != y * T(y \ (z \ y),u) | x = K(z \ 1,u) * (z \ y). T(x \ K(y,z),y) = K(x \ 1,y) * (x \ K(y,z)). K(x \ 1,y) * (x \ K(y,z)) = T(x \ K(y,z),y). (x * T(x \ y,z)) \ y = K(z,(x * K(z,u)) \ y). K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. x != K((y \ z) \ (y \ u),y) | x = K(z \ u,y). K((x \ y) \ z,x) = K(y \ (z * x),x). x \ (y * T(x,z)) = T(y,x) * K(x,z). K(x \ ((y \ z) * y),y) = K(x \ z,y). K(x,y) * z != x \ (u * T(x,y)) | T(T(u,x),K(x,y)) = z. T(T(x,y),K(y,z)) = T(x,T(y,z)). T(T(x,K(y,z)),y) = T(x,T(y,z)). T(x \ y,K(x,z)) = T(y / x,T(x,z)). T(x / y,T(y,z)) = T(y \ x,K(y,z)). K(x,T(y,T(z,L(x,u,w)))) = K(x,T(y,z)). x != T(y / z,T(z,u)) | x = z \ T(y,K(z,u)). T(x \ y,K(x,z)) = x \ T(y,K(x,z)). x \ T(y,K(x,z)) = T(x \ y,K(x,z)). x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). T(K(x,y),z) != u | K(x,T(y,z)) = u. K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w / L(x,z,u))). K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). x != T(T(y,K(z,u)),z) | x = T(y,T(z,u)). K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). K(T(x,y),z) = K(R(x,y,R(x,u,w)),T(z,y * R(x,u,w))). K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). x != K(y,T(z,L(z,u,w) \ 1)) | x = K(y,z). K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). x * y != K(z,u) * x | y = K(z,T(u,x)). K(x,y \ (z \ y)) = K(x,T(z \ 1,y)). K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). x != K(y,T(z \ 1,u)) | x = K(y,(z * u) \ u). K(x,y \ (z \ y)) = K(x,(z * y) \ y). K(x,(y * z) \ z) = K(x,z \ (y \ z)). K(x,T((y / z) \ 1,y)) = K(x,y \ z). x * K(T(y,z) \ x,y) = (y \ x) * y. x / T(y,T(y,z) \ x) = y \ x. (x \ y) \ y = T(x,T(x,z) \ y). T(x,T(x,y) \ z) = (x \ z) \ z. T(x,T(x,y) \ z) = T(x,x \ z). T(x,y) = T(x,x \ (T(x,z) * y)). T(x,x \ (T(x,y) * z)) = T(x,z). T(x,K(x,y) * z) = T(x,z). T(x,y) = T(x,K(z,x) * y). T(x,K(y,x) * z) = T(x,z). T(x,T(y,x) \ z) = T(x,y \ z). T(x,y * K(z,x)) = T(x,y). L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u * K(w,x)). K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). T(x,y) = T(x,y * K(x,z)). T(x,y * K(x,z)) = T(x,y). x * y != T(z,u * K(z,w)) | x \ T(z,u) = y. x \ T(x,y) = K(x,y * K(x,z)). K(x,y * K(x,z)) = x \ T(x,y). x != T(y,T(z,y) \ (y \ u)) | x = T(y,(z * y) \ u). T(x,y \ (x \ z)) = T(x,(y * x) \ z). T(x,(y * x) \ z) = T(x,y \ (x \ z)). K(x,y * K(x,z)) = K(x,y). K(x,y * K(x,z)) != u | K(x,y) = u. K(x,y) = K(x,y * K(z,x)). K(x,y * K(z,x)) = K(x,y). K(x,K(x,y) * z) = K(x,z). 1 / K(x,y) = K(y * K(z,x),x). K(x * K(y,z),z) = 1 / K(z,x). R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). K(x,R(K(x,y),z,u) * w) = K(x,w). K(x * K(y,z),z) = K(x,z). K(x * K(y,z),z) != u | K(x,z) = u. K(x,y) = K(K(y,z) * x,y). K(K(x,y) * z,x) = K(z,x). K(K(x,y) \ z,x) = K(z,x). L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). L(K(x,y),y,z) != u | K(x,y) = u. K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. K(x,K(R(x,y,z),u) * w) = K(x,w). K(x \ T(y,z),z) != u | K(x \ y,z) = u. T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. x != y * K(y,z) | x = T(y,z). T(x,y \ ((x \ z) * x)) = T(x,y \ z). T(x,y \ (z * x)) = T(x,y \ (x * z)). L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). K(x * y,K(y,z)) = K(z,K(y,x)). x != K(y * z,K(z,u)) | x = K(y,K(z,u)). K(x,K(y,z)) = K(z,K(y,x)). T(x,K(y,z)) = x * K(z,K(y,x)). x * K(y,K(z,x)) = T(x,K(z,y)). K(x,K(y,z)) \ 1 = K(z,K(x,y)). K(x,y) * K(x,K(y,z)) = T(K(x,y),z). K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). K(x,K(y,z)) = K(y,K(x,z)). x * K(y,K(z,x)) = T(x,K(y,z)). x != y * K(z,K(u,y)) | x = T(y,K(u,z)). T(x,K(y,z)) = T(x,K(z,y)). T(T(x,K(y,z)),K(y,z)) = x. T(K(x,y),z) * z = z * K(x,y). T(T(K(x,y),z),z) = K(x,y). x * y != y * K(z,T(u,y)) | x = K(z,u). T(K(x,T(y,z)),z) = K(x,y). K(x,T(y,z)) * z = z * K(x,y). x != T(T(K(y,z),u),w) | x = K(y,T(T(z,w),u)). K(x,y) = K(x,T(T(y,z),z)). K(x,T(T(y,z),z)) = K(x,y). K(T(x,y),T(z,y)) = K(x,z). x != K((y * z) / y,T(u,y)) | x = K(z,u). K((x * y) / x,z) = K(y,T(z,x)). K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)). K(x,T(y,z)) * (z * K(y,x)) = z. K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w / R(x,z,u))). K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),(x \ u) \ w). K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). x != K(y,(y \ z) \ (y \ u)) | x = K(y,z \ u). L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)). x != R(K(y,z),z * u,w) | x = K(y,R(z,u,w)). K(x,y * K(z,x)) = K(x,R(y,K(z,x),u)). K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). K(x,y * K(z,x)) != u | K(x,y) = u. K(x,y * x) != z | K(x,x * y) = z. K(x,y \ T(z,x)) != u | K(x,y \ z) = u. K(L(x,y,z),y * x) != u | K(x,x * y) = u. K(K(x,y) * z,x) = K(L(z,K(x,y),u),x). K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). x != K(K(y,z) * u,y) | x = K(u,y). K(L(x,K(y,z),u),y) = K(x,y). K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). x != ((y * z) * ((u \ ((y * z) \ w)) * u)) \ w | x = K(u,(y * (z * u)) \ w). K(x,(y * z) \ (x \ u)) = K(x,(y * (z * x)) \ u). K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). x * y != T(y,z) | x = K(y,z). K(x \ 1,y) = K(x \ K(y,z),y). K(x \ K(y,z),y) = K(x \ 1,y). K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). L(x * K(y \ 1,x),z,u) \ L(x,z,u) = K(L(x,z,u),y \ L(K(x,w),v5,v6)). K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). x != (y * T(y \ z,u)) \ z | x = K(u,y \ z). K(x,(y * K(x,z)) \ u) = K(x,y \ u). T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). K(x,y \ z) = K(x,(y * K(u,x)) \ z). K(x,(y * K(z,x)) \ u) = K(x,y \ u). K(x,y \ z) = K(x,(K(u,x) * y) \ z). K(x,(K(y,x) * z) \ u) = K(x,z \ u). K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). x != K(y,(K(z,y) * u) \ w) | x = K(y,u \ (K(y,z) * w)). K(x,y \ z) = K(x,y \ (K(x,u) * z)). K(x,y \ (K(x,z) * u)) = K(x,y \ u). K(x,y \ (z * K(x,u))) = K(x,y \ z). K(x,y \ z) = K(x,y \ (z * K(u,x))). K(x,y \ (z * K(u,x))) = K(x,y \ z). K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). K(x,y \ (z * L(K(u,x),w,v5))) = K(x,y \ z). T(x,(y * K(x,z)) \ u) = T(x,y \ u). T(x,(y * (x * z)) \ u) = T(x,(y * (z * x)) \ u). T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). x != K(K(y,z) \ u,y) | x = K(u,y). K((x * K(y,z)) \ u,y) = K(x \ u,y). K((x * (y * z)) \ u,y) = K((x * (z * y)) \ u,y). K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). K(x \ y,z) = K((K(u,z) * x) \ y,z). K((K(x,y) * z) \ u,y) = K(z \ u,y). x != K((K(y,z) * u) \ w,z) | x = K(u \ (K(z,y) * w),z). K(x \ y,z) = K(x \ (K(z,u) * y),z). K(x \ (K(y,z) * u),y) = K(x \ u,y). K(x \ (y * K(z,u)),z) = K(x \ y,z). K(x \ (y * (z * u)),z) = K(x \ (y * (u * z)),z). K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). x * y != (x * z) * (u * (((x * z) \ x) / u)) | y = K(u,z \ (u \ 1)). K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). (x * K(y,z \ (y \ 1))) \ x = K((u * z) \ (y \ u),y). K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. K(x,(y * z) \ u) = K(x,(y * (z / x)) \ (x \ u)). K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). x != K(y,(z * u) \ u) | x = K(y,u \ (z \ u)). K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). K(x,(y * z) \ (x \ u)) = K(x,(y * (x * z)) \ u). K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). K(x,y \ (x \ z)) = K(x,(y / (x \ 1)) \ z). K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (y / (x \ 1))) \ u). L(K(x * L(y,z,u),y),T(y,x),w) = (w * T(y,x)) \ (w * R(y,x,L(y,z,u))). (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). L(K(x,y),z,L(x,u,w)) = K(x,y). K(x,y) = K(L(x,z,L(x,u,w)),y). K(L(x,y,L(x,z,u)),w) = K(x,w). R(K(x,y),z,R(x,u,w)) = K(x,y). x != R(K(y,z),y * u,w) | x = K(R(y,u,w),z). K(x,y) = K(R(x,z,R(x,u,w)),y). K(R(x,y,R(x,z,u)),w) = K(x,w). x != K(L(T(y,z),u,w),T(v5,z)) | x = K(L(y,u,w),v5). L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). L(K(x,y),x * z,u) = K(L(x,z,u),y). L(K(x,y),z,u) = K(L(x,x \ z,u),y). K(L(x,x \ y,z),u) = L(K(x,u),y,z). K(x,x * y) = K(L(x,y,z),x * y). K(L(x,y,z),x * y) = K(x,x * y). x != L(K(y,(z \ u) \ w),w,z) | x = K(y,u \ (z * w)). K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). L(K(x,y),K(z,x),u) = K(L(x,T(x,z) \ 1,u),y). K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). x != L(y,1,z) | x = y. K(L(x,x \ 1,y),z) = K(x,z). K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). x != K(T(y,z),T(u,z)) | x = K(y,u). K(L(x,T(x,y) \ 1,z),u) = K(x,u). x != K(L(y,T(y,z) \ 1,u),w) | x = K(y,w). L(K(x,y),K(z,x),u) = K(x,y). (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). R(x,K(y,z),K(z,u)) = x. R(x,L(K(y,z),u,w),K(z,v5)) = x. (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))). K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). x != (y * K(z,u)) \ y | x = K(u,z). K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). K(x \ (y \ z),y) = K((z \ x) \ (y \ 1),y). K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). L(K(x,y),z,u) = K(L(x,T(x,w) \ z,u),y). K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). K(L(x,T(x,y) \ 1,z),u) != w | w = K(x,u). K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. K(T(x,y),T(z,y)) != u | K(x,z) = u. K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. K(x,T(T(y,z),z)) != u | K(x,y) = u. K((x * y) / x,T(z,x)) != u | K(y,z) = u. K(x \ (x * y),z) != u | K(y,z) = u. K((x \ 1) \ 1,y) != z | K(x,y) = z. x != y \ T(L(z,y \ 1,y),u) | x = (y \ 1) * T(z,u). T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). x != K(T(y,z),u) | x = K(y,T(u,z)). K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). x != L(y,z,u) \ L(T(y,w),z,u) | x = K(L(y,z,u),w). K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). K(x,T(y,z)) = K(L(x,z,L(x,u,w)),T(y,L(x,u,w) * z)). K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). x != K(R(y,z,R(y,u,w)),v5) | x = K(y,v5). K(x,T(y,z)) = K(x,T(y,z * R(x,u,w))). K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,z / R(x,u,w))). K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). x != K(y,T(z,u / R(y,w,v5))) | x = K(y,T(z,R(y,w,v5) \ u)). K(x,T(y,z)) = K(x,T(y,R(x,u,w) \ z)). K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). K(x,T(y,z)) = K(x,T(y,R(x,u,w) * z)). K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). x != K(y,T(z,u)) | x = K(y,z) * K(y,K(z,u)). K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. x != K(L(y,z,L(y,u,w)),v5) | x = K(y,v5). K(x,T(y,z)) = K(x,T(y,L(x,u,w) * z)). K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). K(x,T(y,z)) = K(x,T(y,L(x,u,w) \ z)). K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). x != K(y,T(z,L(y,u,w) \ v5)) | x = K(y,T(z,v5 / L(y,u,w))). K(x,T(y,z)) = K(x,T(y,z / L(x,u,w))). K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). K((x * y) \ (z \ u),z) = K((x * (y * z)) \ u,z). K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). x != K((y * (z * u)) \ w,u) | x = K((y * (u * z)) \ w,u). K((x * y) \ (z \ u),z) = K((x * (z * y)) \ u,z). K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). T(x,(y * (x * z)) \ u) = 1 / (x \ K((y * z) \ (x \ u),x)). 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). L(K(x,y),z,x \ 1) = K(x,y). ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). x != L(y,z,(u \ 1) \ 1) | x = L(y,z,u). K(x \ 1,y) = L(K(x \ 1,y),z,x). L(K(x \ 1,y),z,x) = K(x \ 1,y). (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). L(K(x,y),z,y \ 1) = K(x,y). x != L(K(y \ T(z,u),w),T(z,u),u) | x = K((u * y) \ (z * u),w). K(x \ T(y,z \ 1),z) = K(((z \ 1) * x) \ (y * (z \ 1)),z). K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). R(x,y,K(x \ 1,z)) = x. R(T(x,y),z,K(x \ 1,u)) = T(x,y). x != R(T(y,z * K(y \ 1,u)),z,K(y \ 1,u)) | x = T(y,z). T(x,y * K(x \ 1,z)) = T(x,y). x * y != T(z,u * K(z \ 1,w)) | x \ T(z,u) = y. x \ T(x,y) = K(x,y * K(x \ 1,z)). K(x,y * K(x \ 1,z)) = x \ T(x,y). T(x,y) = T(x,K(z,x \ 1) * y). T(x,K(y,x \ 1) * z) = T(x,z). T(x,K(y,1 / x) * z) = T(x,z). K(K(x,1 / y) * z,y) = y / T(y,z). K(x,y * K(x \ 1,z)) = K(x,y). K(x,T(y,x \ 1) \ z) = K(x,y \ z). K(K(x,1 / y) * z,y) = K(z,y). K(K(x,y \ 1) * z,y) = K(z,y). K(x \ y,z) = K(T(x,z \ 1) \ y,z). K(T(x,y \ 1) \ z,y) = K(x \ z,y). K(x \ T(y,z \ 1),z) = K(x \ y,z). L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). T(x,(y * z) \ (x \ u)) = T(x,(y * (x * z)) \ u). T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). x != T(y,(z * (y * u)) \ w) | x = T(y,(z * (u * y)) \ w). T(x,(y * z) \ (x \ u)) = T(x,(y * (z * x)) \ u). T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). x != K(y,(z * (y * u)) \ w) | x = K(y,(z * u) \ (y \ w)). L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). K(x,(y * z) \ u) = K(x,(y * T(z,x \ 1)) \ u). K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). K(x,(y * (x \ 1)) \ z) = K(x,((x \ 1) * y) \ z). K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). K(x,(y * z) \ u) = K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u). K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). x != K(y,(z * (y \ 1)) \ (y \ u)) | x = K(y,z \ u). K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). x != K(y,((y \ 1) * z) \ (y \ u)) | x = K(y,L(z,y \ 1,y) \ u). K(x,y \ z) = K(x,L(y,x \ 1,x) \ z). K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). K(x,T((y / z) \ x,u)) = K(x,T((y / (x * z)) \ 1,u)). K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). x != K(y,T((z / u) \ 1,z)) | x = K(y,z \ u). K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). x != K(y,z \ (y * u)) | x = K(y,z \ (u * y)). K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). K(x,T(y \ x,z)) = K(x,z \ ((y \ z) * x)). K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). x != K(y,(y * z) \ (u * y)) | x = K(y,z \ u). K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). K(x,T(y \ x,z)) = K(x,z \ (y \ (x * z))). K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. x != L(K(y,z \ (y \ (u \ w))),u \ w,u) | x = K(y,(u * z) \ (y \ w)). K(x,(y * (z / (x \ 1))) \ u) = K(x,(y * z) \ (x \ u)). x != K(y,(z * (((y \ 1) * u) / (y \ 1))) \ w) | x = K(y,(z * u) \ w). K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). x != (y * z) \ ((y * (z * K(u,w))) * K(w,u)) | x = a(y,z * K(u,w),K(w,u)). L(K(x,y),z,u) * K(y,x) = a(u,z * K(x,y),K(y,x)). a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). a(x,y,K(z,u)) = K(z,u) * L(K(u,z),y * K(z,u),x). K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). x != K(y,z) * L(K(u,y),w,v5) | x = L(K(y,u),w,v5) \ K(y,z). a(x,y,K(z,u)) = L(K(z,u),y,x) \ K(z,u). L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). x * a(y,z,K(u,w)) != K(u,w) | x = L(K(u,w),z,y). x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. x != K(L(L(y,z,u),w,v5),u) | x = K(L(y,w,v5),u). K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). x != K((y * (z * u)) \ w,z) | x = K((y * u) \ (z \ w),z). K(L(x,y * z,u),y) = K((u * z) \ (y \ (u * ((z * x) * y))),y). K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). x != L(y * K(z,y),u,w) \ L(y,u,w) | x = K(L(y,u,w),z). K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). x != L(K(y,z),T(z,u),w) | x = K(y,z). (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). x * (K(y \ 1,z) * (z \ 1)) = (x * K(y \ 1,z)) * (z \ 1). (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). x * y != (z * K(u,w)) * (w \ 1) | x \ (z * (T(w,u) \ 1)) = y. (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). L(K(x,y),y \ 1,z) = K(x,y). x != K((y \ z) \ (u \ 1),u) | x = K(z \ (u \ y),u). L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). x != L(K((y \ z) \ u,w),u,y) | x = K(z \ (y * u),w). K(x \ (y \ z),y) = K(x \ (z * (y \ 1)),y). K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). x != K(((y \ 1) * z) \ (u * (y \ 1)),y) | x = K(z \ T(u,y \ 1),y). K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). x != K(y \ T(z,u \ 1),u) | x = K(y \ z,u). K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). K((x * (y \ 1)) \ z,y) = K(T(x,y \ 1) \ (z * y),y). K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). x != K(T(y,z \ 1) \ u,z) | x = K(y \ u,z). K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). x != K((y * (z \ 1)) \ u,z) | x = L(K(z * (y \ u),z),y \ u,y). K(x \ (y * z),z) = L(K(z * (x \ y),z),x \ y,x). L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). x != K((y * (z \ 1)) \ (y * u),z) | x = L(K(z * u,z),u,y). K(x \ ((x * y) * z),z) = L(K(z * y,z),y,x). L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). x != K(L(y,z,u),z * y) | x = K(y,y * z). L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). x != K(y,L(L(z,u,K(w,y)),v5,v6)) | x = K(y,L(z,v5,v6)). K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). x != K(y,(z * (K(u,y) * w)) \ v5) | x = K(y,(z * w) \ v5). K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). K(x,L(y,z,u)) = K(x,L(y,K(x,w) * z,u)). K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). (x \ 1) / (x \ K(x,L(y,z,u))) = K(L(y,K(x,w) * z,u),x). K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). x != (y \ 1) / (y \ K(y,z)) | x = K(z,y). K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). K(L(x,y,z),u) = K(L(x,T(y,u),z),u). K(L(x,T(y,z),u),z) = K(L(x,y,u),z). K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). x != K(L(y,z,u),L(w,v5,y)) | x = K(L(y,z,u),w). K(x,L(L(y,z,x),x * z,u)) = K(L(x,z * y,u),y). K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). x != K(y,L(L(z,u,y),w,v5)) | x = K(y,L(z,w,v5)). K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). x != K(L(y,T(z,u),w),u) | x = K(L(y,z,w),u). K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). x != K(L(y,z,u),L(K(w,y),v5,v6) * v7) | x = K(L(y,z,u),v7). K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))). K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))). x != K(L(y,z,u),w \ L(K(y,v5),v6,v7)) | x = K(L(y,z,u),w \ 1). K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). x != K(y,(z \ u) \ 1) | x = K(y,u \ z). K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). K(x,(y * (x \ z)) \ u) = K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u). K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). x != K(y,(z * ((y \ 1) * u)) \ w) | x = K(y,(z * u) \ (w * y)). K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). x != K(y,(z * (y \ u)) \ w) | x = L(K(y,u \ ((z \ w) * y)),z \ w,z). K(x,(y * z) \ (u * x)) = L(K(x,z \ ((y \ u) * x)),y \ u,y). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). K(x,(y * z) \ (u * x)) != w | K(x,(y * (z / x)) \ u) = w. L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). K((x * y) \ (z * u),u) = K((x * (y / u)) \ z,u). K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. x != L(K(y,z \ ((u \ w) * y)),u \ w,u) | x = K(y,(u * z) \ (w * y)). K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). x != K(y,(z * (u * (w / y))) \ (u * (y \ w))) | x = K(y,(u * (w / y)) \ (z \ (u * (w / y)))). K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). x != K(y,z \ (u \ z)) | x = K(y,T(u \ 1,z)). K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). x != K(y,T(z,u * (w / y))) | x = K(y,T(z,u * w)). K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). K(x,y \ ((z * (x \ u)) * x)) = K(x,T((y / (z * u)) \ 1,z * u)). K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). x != K(y,T((z / u) \ 1,u)) | x = K(y,(u \ z) \ 1). K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). x != K(y,z \ (((y \ z) * u) * y)) | x = K(y,u). K(x,y \ ((x \ y) * z)) = K(x,x \ z). x != K(y,z \ ((y \ z) * u)) | x = L(K(y,y \ u),u,y \ z). K(x,x \ y) = L(K(x,x \ y),y,x \ z). L(K(x,x \ y),y,x \ z) = K(x,x \ y). L(K(x,x \ y),y,z) = K(x,x \ y). a(x,y,K(z,z \ y)) = 1. x != L(K(y,y \ (z \ u)),z \ u,z) | x = K(y,z \ (y \ u)). K(x,x \ (y \ z)) = K(x,y \ (x \ z)). K(x,y \ (x \ z)) = K(x,x \ (y \ z)). a(x,y,K(z \ y,z)) = 1. L(K(x \ y,x),y,z) = K(x \ y,x). K(x \ (y \ (x * z)),y) = K(y \ z,y). x != K(y,(z * (y \ u)) \ (y \ w)) | x = K(y,(z * u) \ w). K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). (x * y) * K(z \ y,z) = x * ((z \ y) * z). R(x,y,K(z \ y,z)) = x. R(x,y * z,K(z,y)) = x. x * (y * z) = (x * (z * y)) * K(y,z). (x * (y * z)) * K(z,y) = x * (z * y). K(x,L(y,x,z)) = K(x,y). T(x,L(y,x,z)) = x * K(x,y). T(x,L(y,x,z)) = T(x,y). x != T(y,L(y \ z,y,u)) | x = T(y,u \ (y \ (u * z))). T(x,x \ y) = T(x,z \ (x \ (z * y))). T(x,y \ (x \ (y * z))) = T(x,x \ z). L(x,y,z) * T(y,x) = y * L(x,y,z). T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). (x * T(y,z)) \ (x * (T(y,z) * z)) = L(z,y,x). L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). x != (y * z) \ (y * (z * u)) | x = L(u,z,y). L(x,y,z) = L(x,T(y,x),z). L(x,T(y,x),z) = L(x,y,z). L(x,x \ y,z) = L(x,y / x,z). L(x,y / x,z) = L(x,x \ y,z). K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). L(K(x,(y * z) \ u),w * x,v5) = K(L(x,w,v5),x \ ((y * (x \ z)) \ u)). K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = K(L(x,y,z),(u * w) \ v5). T(L(x,y,z),L(x,y,z) \ u) = L(T(x,(z * (y * x)) \ ((z * y) * u)),y,z). L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). L(T(x,x \ y),z,u) = T(L(x,z,u),L(x,z,u) \ y). T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). x != (L(y,z,u) \ w) / (L(T(y,v5),z,u) \ w) | x = K(L(y,z,u),v5). K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). K(x,y * L(x,y,z)) = K(L(x,y,z),x * T(y,x)). K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). K(x,x * y) = K(x,y * L(x,y,z)). K(x,y * L(x,y,z)) = K(x,x * y). L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). L(K(L(x,y,z),x * y),y,z) = K(x,x * y). L(K(x,x * y),y,z) = K(x,x * y). x != L(K(y,y * (z \ u)),z \ u,z) | x = K(y,z \ (u * y)). K(x,x * (y \ z)) = K(x,y \ (z * x)). K(x,y \ (z * x)) = K(x,x * (y \ z)). 1 / L(K(x,x * y),y,z) = K(x * y,x). K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). x != K(y,z \ (u * y)) | x = K(y,z \ (y * u)). K(x,x * (y \ z)) = K(x,y \ (x * z)). K(x,y \ (x * z)) = K(x,x * (y \ z)). L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). L(K(x * y,x),y,z) = K(x * y,x). x != L(K(y * (z \ u),y),z \ u,z) | x = K(z \ (u * y),y). K(x * (y \ z),x) = K(y \ (z * x),x). K(x \ (y * z),z) = K(z * (x \ y),z). K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). K(x \ y,z) = K(z * ((x * z) \ y),z). K(x * ((y * x) \ z),x) = K(y \ z,x). K((x \ y) \ z,z) = K(z * (y \ x),z). L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). x != K(L(y,z,u),w \ (y * L(K(y,v5),v6,v7))) | x = K(L(y,z,u),w \ y). K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). x != L(y * K(z,y),u,w) / L(y,u,w) | x = K(z,L(y,u,w)). K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). x != K(y \ (z * u),L(u,w,v5)) | x = K((z \ y) \ u,L(u,w,v5)). K(x * (y \ z),L(x,u,w)) = K((z \ y) \ x,L(x,u,w)). K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). K(L(x,y,z),x * ((u * w) \ v5)) = K(L(x,y,z),(u * (x \ w)) \ v5). K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). x != (y * (K(z,u) * w)) \ (y * w) | x = L(K(u,T(z,w)),w,y). K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). K(x,y) = L(K(x,y),L(y,z,u),w). L(K(x,y),L(y,z,u),w) = K(x,y). x != L(K(y \ z,u),z,y \ 1) | x = K((y \ 1) * z,u). K(x \ L(y,z,u),y) = K((x \ 1) * L(y,z,u),y). K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). x != K(L(y,z,u),L(y,z,u) \ w) | x = K(L(y,z,u),y \ w). K(L(x,y,z),(u * (1 / x)) \ w) = K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)). K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). x != K(L(y,z,u),y \ ((w * (y \ v5)) \ v6)) | x = K(L(y,z,u),(w * v5) \ v6). K(L(x,y,z),(u * (1 / x)) \ w) = K(L(x,y,z),(u * (1 / L(x,y,z))) \ w). K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). x != K(y,(z * (u / y)) \ w) | x = K(y,y * ((z * u) \ w)). K(L(x,y,z),(u * (1 / x)) \ w) = K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)). K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). x != K(y,(z * (1 / u)) \ w) | x = K(y,(z * (u \ 1)) \ w). K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). x != K(L(y,z,u),(w * (y \ v5)) \ v6) | x = K(L(y,z,u),y * ((w * v5) \ v6)). K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). x != K(y,z \ (y * u)) | x = K(y,y * (z \ u)). K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). x != K(L(y,z,u),L(y,z,u) * (w \ v5)) | x = K(L(y,z,u),y * (w \ v5)). K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). x != K(L(y,z,u),y * (w \ L(K(y,v5),v6,v7))) | x = K(L(y,z,u),w \ y). K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). (x * K(L(y,z,u),w \ y)) \ x = K(w \ L(y,z,u),L(y,z,u)). K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). x \ T(L(y,z,u) * x,L(y,z,u)) = L(T(y * K(y * x,y),x),z,u). L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). L(R(x,y,x),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. x * R(y,z,y) = x * R(y,z,L(y,x,u)). x * R(y,z,L(y,x,u)) = x * R(y,z,y). R(x,y,x) = R(x,y,L(x,z,u)). R(x,y,L(x,z,u)) = R(x,y,x). (x * T(y,z)) \ (x * R(y,z,y)) = K(z * L(y,u,w),y). K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). x != (y * T(z,u)) \ (y * R(z,u,z)) | x = K(z * u,z). K(x * L(y,z,u),y) = K(y * x,y). x != K((y \ 1) * L(z,u,w),z) | x = K(y \ L(z,u,w),z). K(x * (y \ 1),x) = K(y \ L(x,z,u),x). K(x \ L(y,z,u),y) = K(y * (x \ 1),y). x != K(y * (z \ 1),y) | x = K(z \ y,y). K(x \ L(y,z,u),y) = K(x \ y,y). x != K((y \ z) \ L(u,w,v5),u) | x = K(z \ (y * L(u,w,v5)),u). K((x \ y) \ z,z) = K(y \ (x * L(z,u,w)),z). K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). x != K((y \ z) \ u,u) | x = K(u * (z \ y),u). K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). x != K(y * ((z * y) \ u),y) | x = K(z \ u,y). K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). x != K((y * z) \ (u \ (y * ((z * w) * u))),u) | x = K(L(w,u * z,y),u). K((x * y) \ (x * (y * z)),u) = K(L(z,u * y,x),u). K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). K(L(x,y * z,u),y) = K(L(x,z,u),y). K(x,L(y,z,u)) = K(L(x,x \ z,u),y). K(L(x,x \ y,z),u) = K(x,L(u,y,z)). T(x,R(y,z,u)) = T(x,L(y,z,u)). T(c5,R(c6,c7,c8)) != T(c5,L(c6,c7,c8)). x != x * y | 1 = y. x * y != x | 1 = y. x * y != z \ (z * (x * u)) | y = u. x \ (x * (y * z)) != y * u | u = z. x * 1 != y | x = y. x * y != ((z * y) * u) / u | x = z. ((x * y) * z) / z != u * y | u = x. a(x,x \ y,z) = (x * ((x \ y) * z)) \ (y * z). (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). a(x,y / z,z) = (x * y) \ ((x * (y / z)) * z). (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). a(x / y,y,z) = ((x / y) * (y * z)) \ (x * z). ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). L(x,y,1) = y \ (1 * (y * x)). x \ (1 * (x * y)) = L(y,x,1). L(x,y \ z,y) = z \ (y * ((y \ z) * x)). x \ (y * ((y \ x) * z)) = L(z,y \ x,y). R(x,y,1) = (x * y) / (y * 1). (x * y) / (y * 1) = R(x,y,1). R(x,y / z,z) = ((x * (y / z)) * z) / y. ((x * (y / z)) * z) / y = R(x,y / z,z). ((x * y) * z) / a(x,y,z) = x * (y * z). ((x / (y / z)) \ x) \ y = z. K(1,x) = 1. K(x,1) = 1. a(x,y,y \ 1) = x \ ((x * y) * (y \ 1)). x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). a(x,y,T(z,y)) = (x * (z * y)) \ ((x * y) * T(z,y)). (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). a(x,T(y,x),z) = (x * (T(y,x) * z)) \ ((y * x) * z). (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). L(x,T(y,z),z) = (y * z) \ (z * (T(y,z) * x)). (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). R(x,T(y,x),z) = ((y * x) * z) / (T(y,x) * z). ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). T(T(x,y),z) = T(T(T(x,y),z),x). T(T(T(x,y),z),x) = T(T(x,y),z). T((x * y) / x,y) = (x * y) / x. L(x,y,z) \ (u * L(T(x,u),y,z)) = u. x * K(y,z) != y * z | x = z * y. x * K(y,z) != y * z | z * y = x. (x / y) \ x = z * (z \ y). ((x * (x \ y)) / z) \ y = z. (R(x,y,z) * (y * z)) / z = x * y. (x * y) * K(y,x) != y * z | z = x. L(x,K(y,z),z * y) = (y * z) \ ((z * y) * (K(y,z) * x)). (x * y) \ ((y * x) * (K(x,y) * z)) = L(z,K(x,y),y * x). T(x * y,K(y,x)) = K(y,x) \ (y * x). K(x,y) \ (x * y) = T(y * x,K(x,y)). L((x \ y) \ y,z,u) = T(L(x,z,u),x \ y). T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. K(x,L(x,y,z)) = 1. (x \ y) \ y != z | z = T(x,x \ y). (x \ y) \ y != z | T(x,x \ y) = z. a(x,y \ 1,y) = (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y). (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). (x / y) \ x != z * u | z \ y = u. (x * y) / T(x,y) != z | z = y. x \ (x * y) != z * u | z \ y = u. ((x \ y) \ y) * (T(x,x \ y) \ z) = z. x != y * ((z / u) \ z) | x / u = y. x * ((y / z) \ y) != u | u / z = x. (x / T(y,y \ z)) * ((y \ z) \ z) = x. x / L(y,z,x / (z * y)) = (x / (z * y)) * z. x \ (x * y) = L(y,x,1). L(x,y,1) = x. (x * y) / y = R(x,y,1). R(x,y,1) = x. R(1 / x,x,y) * z = (y / (x * y)) * z. x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. x * y != T(z,z \ u) | x \ ((z \ u) \ u) = y. (T(x,x \ y) / z) \ ((x \ y) \ y) = z. x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. T(x,T(T(x,y),z)) = x. K(x,T(T(x,y),z)) = 1. x * T(x \ 1,x) != y | y = K(x \ 1,x). x * T(x \ 1,x) != y | K(x \ 1,x) = y. L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). L(x,L(y,z,u),u * z) = (u * (z * y)) \ ((u * z) * (L(y,z,u) * x)). (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). R(x * y,L(z,y,x),u) = ((x * (y * z)) * u) / (L(z,y,x) * u). ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). L(a(x,y,z),x * (y * z),u) = (u * (x * (y * z))) \ (u * ((x * y) * z)). (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). L(K(x,y) \ z,K(x,y),y * x) = (x * y) \ ((y * x) * z). L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). K(x * y,R(z,x,y)) = ((z * x) * y) \ ((x * y) * R(z,x,y)). ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). R(x,R(y,z,u),z * u) = ((x * R(y,z,u)) * (z * u)) / ((y * z) * u). ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). (R(x,y,z) * (y * z)) / z != u | u = x * y. (R(x,y,z) * (y * z)) / z != u | x * y = u. R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. R(x,y,y \ 1) / (y \ 1) != z * y | z = x. L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w. (x / y) \ (z * (z \ x)) != u * w | u \ y = w. T((x \ y) \ 1,y \ x) = (x \ y) \ 1. K((x \ y) \ 1,y \ x) = 1. K(((x * y) \ x) \ 1,y) = 1. R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. T((x \ 1) \ y,x * y) = (x \ 1) \ y. T(x,y) * T(y,x * y) = L(y,T(x,y),y) * T(x,y). L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). a(x,y,L(T(z,y),u,w)) = (x * (L(z,u,w) * y)) \ ((x * y) * L(T(z,y),u,w)). (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. x * R(x,y,z) = R(x,y,z) * x. R(x,y,z) * x = x * R(x,y,z). x * R(T(x,y),z,u) = R(T(x,y),z,u) * x. R(T(x,y),z,u) * x = x * R(T(x,y),z,u). T(x,R(x,y,z)) = x. T(x * (y \ 1),y) = R(y \ x,y,y \ 1). R(x \ y,x,x \ 1) = T(y * (x \ 1),x). x * y != T(z,z \ u) * w | x \ (((z \ u) \ u) * w) = y. (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). x * y != z * T(u,u \ w) | x \ (z * ((u \ w) \ w)) = y. (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. (x * T(x \ y,z)) / x != u | u = T(y / x,z). (x * T(x \ y,z)) / x != u | T(y / x,z) = u. T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). T(L(x,y,x),z) = T(T((y * x) / y,z),x * y). T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). T(x * y,(x \ 1) \ y) = x * y. x * y != (z * (z \ u)) * w | (u * w) / y = x. (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). x * a(x,y,y \ 1) = (x * y) * (y \ 1). (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). x \ R(x,y,y \ 1) = a(x,y,y \ 1). x * a(x,y,y \ 1) = R(x,y,y \ 1). x \ R(x,y,y \ 1) != z | z = a(x,y,y \ 1). x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. L(T(x,y),y,1 / y) != z | z = (1 / y) * (x * y). L(T(x,y),y,1 / y) != z | (1 / y) * (x * y) = z. (x / (y * x)) * (R(1 / y,y,x) \ z) = z. R(T(1 / x,x * y),x,y) = (x * y) \ y. x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. R(x \ (y * z),u,w) = L(R((y \ x) \ z,u,w),y \ x,y). L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). R(x,T(y,x),(y * x) \ z) \ z = T(y,x) * ((y * x) \ z). (x * y) / ((z \ x) * y) != u | u = R(z,z \ x,y). (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. T((x * y) / z,z / y) = R((z / y) \ x,z / y,y). R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). R(x,y,y \ 1) = T((y * x) * (y \ 1),y). T((x * y) * (x \ 1),x) = R(y,x,x \ 1). ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. (x * y) * L(T(y,x),z,u) = L(R(y,x,y),z,u) * (x * y). L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). (x * y) * R(T(y,x),z,u) = R(R(y,x,y),z,u) * (x * y). R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). x * T(y,x / y) = (y * (x / y)) * y. (x * (y / x)) * x = y * T(x,y / x). K(x \ 1,x) * L(y,x,x \ 1) != z | (x \ 1) * (x * y) = z. R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. (x * y) * z != (y * x) * (K(x,y) * u) | L(u,K(x,y),y * x) = z. (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. (x * y) \ z != u | L(y \ (x \ z),y,x) = u. (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. x * y != (z * u) * L(w,u,z) | (z * (u * w)) / y = x. (x * (y * z)) / (x * y) = L(((x * y) * z) / (x * y),y,x). L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). T(x,R(T(x,y),z,u)) = x. ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. ((x \ y) * (y \ (x * z))) / (x \ y) = L(z / (x \ y),x \ y,x). ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. R((x * y) / x,z,u) * x != w | w = x * R(y,z,u). R((x * y) / x,z,u) * x != w | x * R(y,z,u) = w. T(x * T(x \ 1,y),x \ 1) = (x \ 1) \ T(x \ 1,y). (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). R(x,y,(x * y) \ z) \ z != u | u = y * ((x * y) \ z). R(x,y,(x * y) \ z) \ z != u | y * ((x * y) \ z) = u. L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). L(x,T(y,z),z) * (y * z) = z * (T(y,z) * T(x,y * z)). x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). x * y != L(T((z \ 1) \ u,w),z \ 1,z) | x \ T(z * u,w) = y. x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). L(x,x \ y,x) * (x \ y) != z | z = (x \ y) * T(x,y). L(x,x \ y,x) * (x \ y) != z | (x \ y) * T(x,y) = z. x * y != (z * (u * w)) * a(z,u,w) | x \ ((z * u) * w) = y. ((x * y) * a(z,x,y)) \ ((z * x) * y) = R(T(z,(x * y) * a(z,x,y)),x * y,a(z,x,y)). R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). (x * y) * z != (y * z) * u | R(T(x,y * z),y,z) = u. (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). x * y != (z * u) * a(z,w,w \ u) | ((z * w) * (w \ u)) / y = x. ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). x \ ((y \ (x * z)) * y) = (x \ y) * T((x \ y) \ z,y). (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). T(x,y) * (z \ 1) = z \ T(z * (x * (z \ 1)),y). x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). (1 / x) \ T((1 / x) * y,z) != u * w | u \ (x * T(x \ y,z)) = w. (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). (1 / x) * T(y,z) = T(((1 / x) * y) * x,z) / x. T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). x * (T(y,z) * (x \ 1)) = T(x * (y * (x \ 1)),z). T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | z = K(y,x). ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z. (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). x != (y * z) * L(u,T(y,z),z) | x = z * (T(y,z) * u). x * (y * L(z,T(x,y),y)) = y * (T(x,y) * L(z,y,x)). x * (T(y,x) * L(z,x,y)) = y * (x * L(z,T(y,x),x)). K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). L(x,y,z) * u != L(x,y,z) / x | T(1 / x,L(x,y,z)) = u. T(1 / x,L(x,y,z)) = L(x,y,z) \ (L(x,y,z) / x). L(x,y,z) \ (L(x,y,z) / x) = T(1 / x,L(x,y,z)). L(T(x / y,z),u,w) * y != v5 | y * L(T(y \ x,z),u,w) = v5. x * y != R(T(z,z \ u),w,v5) | x \ R((z \ u) \ u,w,v5) = y. ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = T(x,x \ y) \ R(T(z,z \ u),w,v5). T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ T(y / x,x). T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). T(x * y,y) / T(x,y) = ((x * y) * y) / (x * y). x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. x * y != T(z * T(z \ 1,u),z \ 1) | x \ ((z \ 1) \ T(z \ 1,u)) = y. (1 / x) \ (((1 / x) \ 1) \ T((1 / x) \ 1,y)) = x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1). x \ (((y * x) / y) \ x) = ((y * x) / y) \ 1. (x \ 1) * ((y * (x \ 1)) \ z) = x \ L(x * (y \ z),x \ 1,y). x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). (T(x,y) \ 1) * L(T(x,T(x,y) \ 1),z,u) = T(x,y) \ L(T(x,y) * (T(x,y) \ x),z,u). T(x,y) \ L(T(x,y) * (T(x,y) \ x),z,u) = (T(x,y) \ 1) * L(T(x,T(x,y) \ 1),z,u). x \ T(x * (x \ L(x,y,z)),u) = T(L(x,y,z),u) * (x \ 1). (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). (1 / x) \ L(y,z,u) = x * L(x \ ((1 / x) \ y),z,u). x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). x * y != R(x,z,z \ 1) | y = a(x,z,z \ 1). x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. ((x \ y) * x) * (y \ x) = x * ((y \ x) * T((y \ x) \ 1,x)). x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). (x \ (y \ x)) * x = (y * T(y \ 1,x)) * (y \ x). (x \ y) * z != (y \ (x \ y)) * y | T(x * T(x \ 1,y),x \ y) = z. T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). T(x * T(x \ 1,L(x,y,z)),x \ L(x,y,z)) = K(x \ 1,L(x,y,z)). x \ ((1 / x) \ L(y,z,u)) = L(x \ ((1 / x) \ y),z,u). L(x \ ((1 / x) \ y),z,u) = x \ ((1 / x) \ L(y,z,u)). R(x,x \ 1,x) = (x \ 1) \ 1. ((x \ 1) \ 1) \ x = (x \ 1) * x. ((x \ 1) \ 1) \ x = K(x \ 1,x). ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. ((x \ 1) \ 1) * K(x \ 1,x) = x. (x \ 1) * K(x,1 / x) = 1 / x. T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). (x \ 1) * K(x,y) = K(x,y) * (x \ 1). K(x,y) * (x \ 1) = (x \ 1) * K(x,y). T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). L((x \ 1) \ ((1 / (x \ 1)) \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). K(x \ 1,y) * x = x * K(x \ 1,y). x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). R(x,y,z) \ x = x * (R(x,y,z) \ 1). x * (R(x,y,z) \ 1) = R(x,y,z) \ x. (R(x,y,z) * u) * w != R(x,y,z) * (x * u) | T(x,R(x,y,z) * u) = w. T(x,R(x,y,z) * (x \ u)) = (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u). (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). R(x,y,z) * (u * x) = x * (R(x,y,z) * T(u,x)). x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). (R(x,y,z) \ 1) * T(x,R(x,y,z) \ 1) = R(x,y,z) \ x. (1 / x) * (R(x,y,z) \ x) = L(R(x,y,z) \ 1,x,1 / x). L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). x \ ((x * y) * z) = R(x,y,z) * (x \ (y * z)). R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). x \ (R(x,y,z) * u) != w | w = R(x,y,z) * (x \ u). x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. (x \ ((x * y) * z)) / (x \ (y * z)) = R(x,y,z). R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). x * R(x \ (y * z),u,w) = y * ((y \ x) * R((y \ x) \ z,u,w)). x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). x != y * ((y \ z) * T(u,z)) | x = L(u,y \ z,y) * z. (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). (x * y) \ ((z * y) * R(x / z,z,y)) = K(z * y,R(x / z,z,y)). x * (y \ T(y * (x \ z),x)) = ((x \ (z / (y \ 1))) * x) * (y \ 1). ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). x * (T((x \ y) * z,x) / z) = ((x \ (y / (1 / z))) * x) * (1 / z). ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). x \ y = L(x,z,u) * (x \ (L(x,z,u) \ y)). L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. L(x,y,z) * u = x * (L(x,y,z) * (x \ u)). x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. L(x,y,z) \ x = x * (L(x,y,z) \ 1). x * (L(x,y,z) \ 1) = L(x,y,z) \ x. (L(x,y,z) * u) * w != L(x,y,z) * (x * u) | T(x,L(x,y,z) * u) = w. T(x,L(x,y,z) * (x \ u)) = (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u). (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). L(x,y,z) * (u * x) = x * (L(x,y,z) * T(u,x)). x * (L(x,y,z) * T(u,x)) = L(x,y,z) * (u * x). x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. K(L(x,y,z) \ 1,x) = (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x). (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). (1 / x) * (L(x,y,z) \ x) = L(L(x,y,z) \ 1,x,1 / x). L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). T((1 / x) * (L(x,y,z) \ x),x) = (1 / x) * ((L(x,y,z) \ 1) * x). T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). x * y != z \ (u * z) | x \ T(u,z) = y. L(x,y,z) \ T(u,x) = x \ (L(x,y,z) \ (u * x)). x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). K(x,x \ 1) != y | x * (1 / x) = y. (x \ 1) * K(x,x \ 1) = 1 / x. x != K(y,y \ 1) | x = K(y \ 1,y) \ 1. x * (1 / x) = K(x \ 1,x) \ 1. K(x \ 1,x) \ 1 = x * (1 / x). (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) != z | L(y,K(y,y \ 1),x) = z. L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). L(1 / (1 / x),y,z) = L(L(x,y,z),x \ 1,x). L(L(x,y,z),x \ 1,x) = L(1 / (1 / x),y,z). L((x * y) / x,y \ 1,y) = (x * (1 / (1 / y))) / x. K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). x * y != (z * u) * T((z * u) \ z,w) | (z * (u * T(u \ 1,w))) / y = x. (x * (y * T(y \ 1,z))) / x = K(z \ (z / ((x * y) / x)),z). K(x \ (x / ((y * z) / y)),x) = (y * (z * T(z \ 1,x))) / y. T(x / y,z) \ (y \ x) = (y \ x) * (T(x / y,z) \ 1). (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). ((x \ y) \ y) * (T(x,z) \ 1) = T(y / (x \ y),z) \ ((x \ y) \ y). T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). x \ T(L(x,y,z),u) = T(L(x,y,z),u) * (x \ 1). T(L(x,y,z),u) * (x \ 1) = x \ T(L(x,y,z),u). T(L(x,y,z),u) * (x \ 1) = x \ L(T(x,u),y,z). L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). x * (y \ ((x \ y) * x)) = ((x \ y) * x) * (y \ x). ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). ((x \ y) * x) * (y \ x) = x * K(x \ y,x). (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). (x * y) * ((y * x) \ y) = y * K(x,y). x != y * ((z * u) \ z) | x = y * L(u \ 1,u,z). x * K(y,x) = (y * x) * L(y \ 1,y,x). (x * y) * L(x \ 1,x,y) = y * K(x,y). (x * K(y,x)) \ (y * x) != z | L(((x * y) \ x) \ 1,(x * y) \ x,y * x) = z. x * K(x \ (x / T(x,y)),x) != z | L(x,T(x,y) \ 1,T(x,y)) = z. x / ((y * x) / y) = (1 / ((y * x) / y)) * x. (1 / ((x * y) / x)) * y = y / ((x * y) / x). (x / ((y * x) / y)) / x = 1 / ((y * x) / y). x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). x \ (y * T(y \ z,u)) = (x \ y) * T((x \ y) \ (x \ z),u). (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). T(K(x,y),z) = K(y \ (y / T(L(x \ 1,x,y),z)),y). K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). K(x \ (x / ((y * x) / y)),x) = (y * K(x \ 1,x)) / y. x * y != K(z \ (z / ((u * z) / u)),z) | x \ ((u * K(z \ 1,z)) / u) = y. ((x * y) / x) \ ((x * K(y \ 1,y)) / x) = T(((x * y) / x) \ 1,y). T(x * y,y) / y = y \ T(y * x,y). T(x * T(y,z),x) / x = x \ T(x * T((x * y) / x,z),x). x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. T(x * L(y,z,u),x) / x = x \ T(x * L((x * y) / x,z,u),x). x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. x * ((1 / x) * T(y,x)) = T(x * ((1 / x) * y),x). T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). x \ T(x * T(y / x,z),x) != u | u = T(T(y,x) / x,z). x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). K(x,x * L(x \ 1,y,z)) = 1. T(x \ 1,x \ L(x,y,z)) = x \ 1. T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). x != K(y \ (y / T(z \ 1,u)),y) | x = T(z \ T(z,y),u). T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). L(T(x \ T(x,y),x),x,y) = T((y * x) \ (x * y),T(x,x \ 1)). T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). x != y * ((1 / y) * T(z,y)) | x = T(y * ((1 / y) * z),y). (x * T(x \ y,x)) * (1 / x) = T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x). T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). T(T(x * y,x) / x,z) = T(x * T(y,z),x) / x. T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. (1 / ((x * y) \ x)) \ y = (x \ (x * y)) * ((x * y) \ x). (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. x * ((y * x) \ y) = (1 / ((y * x) \ y)) \ x. (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. x != L(T(y \ T(z,u),w),y,u) | x = T((u * y) \ (z * u),w). T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). T(K(1 / x,y),x \ 1) = T(K(1 / x,y),1 / x). T(K(1 / x,y),1 / x) = T(K(1 / x,y),x \ 1). (1 / x) * T(K(1 / x,y),x \ 1) = K(1 / x,y) * (1 / x). ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. ((x \ y) / y) / (x \ 1) = (y / (x \ y)) * ((x \ y) / y). (x / (y \ x)) * ((y \ x) / x) = ((y \ x) / x) / (y \ 1). x * ((x \ y) / y) = ((x \ y) / y) / (x \ 1). ((x \ y) / y) / (x \ 1) = x * ((x \ y) / y). (x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y. x != (y \ z) / z | x = R(1 / y,y,y \ z). (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). x != (y * z) * R((y * z) \ z,u,w) | x = (y * R(y \ 1,u,w)) * z. x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. x / L(x,y,z) = (1 / L(x,y,z)) * x. (1 / L(x,y,z)) * x = x / L(x,y,z). ((x / y) * L(y,z,u)) * y = x * L(y,z,u). (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. x * y != x / L(x,z,u) | T(1 / L(x,z,u),x) = y. T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). (x * (y * z)) / z = ((x * y) / z) * L(z,y,x). ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. T(x,y) = R(T(x,y * L(x,z,u)),y,L(x,z,u)). R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). ((x * y) / z) \ ((x * (y * z)) / z) = L(z,y,x). L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). L(x,y,z) * u != (z * (y * x)) / x | T((z * y) / x,L(x,y,z)) = u. (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). L(x,y,z) / T(x,x \ 1) = (x \ 1) * L(x,y,z). x != y * R(T(z,y),u,w) | x = R(z,u,w) * y. x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). L((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). T(x,y) \ ((x \ z) \ z) = ((x \ z) \ z) * (T(x,y) \ 1). ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). x \ (y * R(y \ x,z,u)) = (x \ y) * R((x \ y) \ 1,z,u). (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). K(x,1 / ((y * x) / y)) = ((y * x) / y) * ((x * (((y * x) / y) \ 1)) / x). ((x * y) / x) * ((y * (((x * y) / x) \ 1)) / y) = K(y,1 / ((x * y) / x)). x * K(y,(y / (x \ 1)) / y) = (y * x) / y. (x * K(x,y)) * (x \ 1) = K(x,y). (x \ 1) * y != x \ (x * K(x,z)) | T(x * K(x,z),x \ 1) = y. T(x * K(x,y),x \ 1) = (x \ 1) \ K(x,y). L(T(x,y) / y,z,u) = y \ T(y * L(x / y,z,u),y). x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). x != y \ T(y * L((y * z) / y,u,w),y) | x = T(y * L(z,u,w),y) / y. L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. x * y != (z * x) * R((z * x) \ (u * x),w,v5) | T(z * R(z \ u,w,v5),x) = y. T(x * R(x \ y,z,u),y) = (y \ (x * y)) * R((y \ (x * y)) \ y,z,u). (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). T(x * R(x \ y,z,u),x) = x * R(x \ (x \ (y * x)),z,u). x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). x * y != (z * u) * R((z * u) \ (w * u),v5,v6) | x \ ((z * R(z \ w,v5,v6)) * u) = y. x \ ((y * R(y \ x,z,u)) * w) = (x \ (y * w)) * R((x \ (y * w)) \ w,z,u). (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). x / R(x,y,z) = (1 / R(x,y,z)) * x. (1 / R(x,y,z)) * x = x / R(x,y,z). x * y = ((x / R(y,z,u)) * y) * R(y,z,u). ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. (x * y) / R(y,z,u) != w | w = (x / R(y,z,u)) * y. (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. (x * R(y,z,u)) * T(y,x) = R(y,x,R(y,z,u)) * (x * R(y,z,u)). R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). x * R(x \ T(y,x),z,u) = T(x * R(x \ y,z,u),x). T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). x * y != z * R(z \ T(u,z),w,v5) | T(z * R(z \ u,w,v5),z) / y = x. T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). x * y != z * R(z \ T(u,z),w,v5) | x \ T(z * R(z \ u,w,v5),z) = y. x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). T(x * R(y,z,u),x) / x = R(T(x * y,x) / x,z,u). R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. R(x,y,z) * (z * R(z \ (y * z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. x != (y * (z * u)) \ ((y * z) * u) | x = a(y,z,u). L(L(x,y,z) \ x,L(x,y,z),z * y) = a(z,y,x). a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). x != (T(y,y \ z) * u) \ (((y \ z) \ z) * (u * w)) | x = L(w,u,T(y,y \ z)). L(x,y,(z \ u) \ u) = L(x,y,T(z,z \ u)). L(x,y,T(z,z \ u)) = L(x,y,(z \ u) \ u). T(x * T(x \ y,z),y) = T(x,y) * T(T(x,y) \ y,z). T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). (x \ 1) * (K(y \ x,y) * x) = T((x \ 1) * ((y \ x) * y),x). T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). K(K(x,y),K(y,z)) = 1. K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. K(x,y) * R(K(z,x),u,w) = R(K(z,x),u,w) * K(x,y). R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. K(x,y) * R(K(y,z),u,w) = R(K(y,z),u,w) * K(x,y). R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5. (K(x,y) * K(z,x)) \ (K(z,x) * (K(x,y) * u)) != w | L(u,K(x,y),K(z,x)) = w. ((x * K(y,z)) * K(z,u)) / (K(z,u) * K(y,z)) != w | R(x,K(y,z),K(z,u)) = w. x * ((x * R(x \ 1,y,z)) * u) = (x * R(x \ 1,y,z)) * (x * u). (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u). (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). x * ((x * L(x \ 1,y,z)) * u) = (x * L(x \ 1,y,z)) * (x * u). (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u). (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). T(x,y) \ R(x,z,u) = R(x,z,u) * (T(x,y) \ 1). R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). ((x * y) / x) * ((((x * y) / x) \ y) / y) = K(y,1 / ((x * y) / x)). (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. T(x,y) = R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)). R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). 1 / ((x * y) \ x) = (y * ((x * y) \ x)) \ y. (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). (x * (y * R(z,u,w))) / (x * y) = R((x * (y * z)) / (x * y),u,w). R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). x \ ((x * (y * T(y \ 1,x))) \ x) = ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) \ 1. ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ 1 = y \ ((y * (x * T(x \ 1,y))) \ y). (L(x,y,z) * u) \ ((x * (x \ u)) * L(T(x,x \ u),y,z)) = a(x,x \ u,L(T(x,x \ u),y,z)). T(x \ 1,x \ L(x,y,z)) * R((x \ 1) \ 1,u,w) = T((x \ 1) * R((x \ 1) \ 1,u,w),x \ L(x,y,z)). T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). L(T(x,y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x. (1 / x) * L(T((1 / x) \ 1,y),z,u) = L(T(x,y),z,u) / x. (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. R(x,y,z) \ T(x,u) = T(x,u) * (R(x,y,z) \ 1). T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ T(y / x,x). R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). R(x / y,z,u) \ (y \ x) = (y \ x) * (R(x / y,z,u) \ 1). (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ (y \ (y * x)). R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). R((x * y) / x,z,u) \ y = y * (R((x * y) / x,z,u) \ 1). x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. 1 / T(x \ 1,y) = T(1 / x,y) \ 1. T(x \ 1,y) = (T(1 / x,y) \ 1) \ 1. (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). T(x,T(x,y) \ 1) = T(x,x \ 1). (x * K(y \ 1,y)) / x = K(y \ 1,y). T((x \ 1) * x,y) = K(x \ 1,x). x != K(y,y \ 1) * (y \ L(y,z,u)) | x = L(y,z,u) * (1 / y). (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). R(1 / x,x,K(y,y \ 1)) = K(y,y \ 1) / (K(y,y \ 1) * x). R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). (x \ 1) * (x * y) = L(y,x,x \ 1) * K(x \ 1,x). L(x,y,y \ 1) * K(y \ 1,y) = (y \ 1) * (y * x). x * y != R(z,u \ 1,u) * K(u \ 1,u) | x \ ((z * (u \ 1)) * u) = y. K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). L(x \ 1,x,K(y \ 1,y)) = (x * K(y \ 1,y)) \ K(y \ 1,y). (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). ((x * y) / x) \ K(y \ 1,y) = T(((x * y) / x) \ 1,y). L(x,T(x,y) \ 1,T(x,y)) = 1 / (1 / x). L(1 / (1 / x),y,z) = L(L(x,y,z),T(x,u) \ 1,T(x,u)). L(L(x,y,z),T(x,u) \ 1,T(x,u)) = L(1 / (1 / x),y,z). x * T(x \ (x / y),y) != z | K(y \ 1,y) * (x / y) = z. K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). T(x,((y * x) / y) \ 1) != z | T(x,x \ 1) = z. (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. T(((x * y) / x) * (((x * y) / x) \ K(y \ 1,y)),((x * y) / x) \ y) = K(y \ (((x * y) / x) \ y),y). L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). T(x,y) * T(T(x,y) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). T(x * T(x \ (y / z),u),z) = T(x,z) * T(T(x,z) \ (z \ y),u). T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). T(x,y) * T(T(x,y) \ z,u) = T(x * T(x \ ((y * z) / y),u),y). T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). T(x * T(x \ y,z),u) = T(x,u) * T(T(x,u) \ T(y,u),z). T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). T(x * L(x \ y,z,u),y) = T(x,y) * L(T(x,y) \ y,z,u). T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). x != L((y \ z) \ 1,y \ z,y) | x = z \ y. T(x \ y,K(z,y \ x)) = x \ y. K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). L(x \ 1,x,(x \ y) / y) = 1 / x. (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. T(x,x \ 1) = T(x,y / (y * x)). T(x,y / (y * x)) = T(x,x \ 1). (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). x * ((y * (((x / z) * z) \ (u * z))) / y) = ((x / z) * ((y * ((x / z) \ u)) / y)) * z. ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). x * y != (z * x) * ((u * ((z * x) \ (w * x))) / u) | T(z * ((u * (z \ w)) / u),x) = y. T(x * ((y * (x \ z)) / y),z) = (z \ (x * z)) * ((y * ((z \ (x * z)) \ z)) / y). (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). T(x * (1 / y),y) = (y * T(y \ x,y)) * (1 / y). (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). (x * y) * (1 / y) = T((y * x) * (1 / y),y). T((x * y) * (1 / x),x) = (y * x) * (1 / x). T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. 1 / T(x \ y,y \ x) = (x \ y) \ 1. (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). T(x,K(y \ z,z \ y)) = x. x * K(y \ z,z \ y) = K(y \ z,z \ y) * x. K(x \ y,y \ x) * z = z * K(x \ y,y \ x). (x * K(y \ z,z \ y)) / x != u | u = K(y \ z,z \ y). (x * K(y \ z,z \ y)) / x != u | K(y \ z,z \ y) = u. x * (((y \ (y / x)) \ 1) \ 1) = (y \ (y / x)) * x. T(x / y,x \ y) = ((x / y) \ 1) \ 1. T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. (x \ 1) * ((x \ R(x,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). (x \ R(x,y,z)) \ (x \ 1) = (x \ 1) * ((x \ R(x,y,z)) \ 1). (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). (x \ 1) * ((x \ L(x,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * ((x \ L(x,y,z)) \ 1). (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. (x * (y * T(y \ 1,x))) \ 1 = x \ ((x * (y * T(y \ 1,x))) \ x). x \ ((x * (y * T(y \ 1,x))) \ x) = (x * (y * T(y \ 1,x))) \ 1. (x * K(y,x)) * (x \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). K(x,y) = (y * K(x,y)) * (y \ 1). (x * K(y,x)) * (x \ 1) = K(y,x). K(x,1 / y) / y = (1 / y) * K(x,1 / y). (1 / x) * K(y,1 / x) = K(y,1 / x) / x. ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). (x * ((y * (x \ z)) / y)) / z = (x / z) * ((y * ((x / z) \ 1)) / y). (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. ((x * y) * L((x \ (z * u)) / y,y,x)) / u = ((x * y) / u) * ((y * (((x * y) / u) \ z)) / y). ((x * y) / x) * ((((x * y) / x) \ y) / y) = ((x * y) * ((y * ((x * y) \ x)) / y)) / x. ((x * y) * ((y * ((x * y) \ x)) / y)) / x = ((x * y) / x) * ((((x * y) / x) \ y) / y). x != (y \ 1) * (z * T(z \ ((y \ 1) \ u),w)) | x = (y \ T(y * (u / z),w)) * z. K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. R(x,y,K(x,x \ 1)) = x. R(T(x,y),z,K(x,x \ 1)) = T(x,y). x != R(T(y,z * K(y,y \ 1)),z,K(y,y \ 1)) | x = T(y,z). T(x,y * K(x,x \ 1)) = T(x,y). T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). ((x * y) * L(1 / y,y,x)) / x = ((x * y) / x) * ((((x * y) / x) \ y) / y). ((x * y) / x) * ((((x * y) / x) \ y) / y) = ((x * y) * L(1 / y,y,x)) / x. ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * (y * (1 / y))) / x. ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * K(y,y \ 1)) / x. x != ((y * z) / y) * ((((y * z) / y) \ z) / z) | x = K(z,1 / ((y * z) / y)). (x * K(y,y \ 1)) / x = K(y,1 / ((x * y) / x)). K(x,1 / ((y * x) / y)) = (y * K(x,x \ 1)) / y. K(x \ y,1 / (y / x)) = (x * K(x \ y,(x \ y) \ 1)) / x. (x * K(x \ y,(x \ y) \ 1)) / x = K(x \ y,1 / (y / x)). (x * K(x \ y,y \ x)) / x = K(x \ y,1 / (y / x)). (x * (1 / (1 / (x \ y)))) / y = K(y \ x,1 / (x / y)). K(x \ y,1 / (y / x)) != z | K(x \ y,y \ x) = z. (x * (1 / (1 / K(y,(y / (x \ 1)) / y)))) / ((y * x) / y) = K(((y * x) / y) \ x,1 / (x / ((y * x) / y))). K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * (1 / (1 / K(x,(x / (y \ 1)) / x)))) / ((x * y) / x). L(x * T(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u. T(x,y) \ L(x,z,u) = (T(x,y) \ 1) * L(T(x,T(x,y) \ 1),z,u). (T(x,y) \ 1) * L(T(x,T(x,y) \ 1),z,u) = T(x,y) \ L(x,z,u). x * y != (T(z,u) \ 1) * L(T(z,T(z,u) \ 1),w,v5) | x \ (T(z,u) \ L(z,w,v5)) = y. L(x,y,z) \ (T(x,u) \ L(x,y,z)) = T(x,u) \ 1. T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). K(x \ (L(x,y,z) \ x),x) = L(T(K(x \ 1,x),L(x,y,z) \ x),y,z). L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). (x * y) * K(L(z,y,x) \ 1,z) = x * (y * K(z \ 1,z)). x * (y * K(z \ 1,z)) != (x * y) * u | K(L(z,y,x) \ 1,z) = u. (x * y) * z != x * (y * K(u \ 1,u)) | K(L(u,y,x) \ 1,u) = z. K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). (x \ (y * T(y \ x,z))) \ 1 = (x \ y) \ (T(1 / (x \ y),z) \ 1). (x \ y) \ (T(1 / (x \ y),z) \ 1) = (x \ (y * T(y \ x,z))) \ 1. R(x,y,z) * (z * R(T(y,z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). (x * (y * ((x \ (z * u)) / y))) / u = ((x * y) / u) * ((y * (((x * y) / u) \ z)) / y). ((x * y) / z) * ((y * (((x * y) / z) \ u)) / y) = (x * (y * ((x \ (u * z)) / y))) / z. (1 / x) \ (x \ T((1 / x) \ 1,y)) = x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1). x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T((1 / x) \ 1,y)). x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)). x * T(x \ T(x,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)). x * T(x \ T(x,y),x) = (1 / x) \ (x \ T(x,y)). (1 / x) \ (x \ T(x,y)) = x * T(x \ T(x,y),x). (1 / x) \ (x \ T(x,y)) = (x \ T(x,y)) * x. (1 / x) \ (x \ (x * K(x,y))) = (x \ T(x,R(y,x,(y * x) \ x))) * x. (x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ (x \ (x * K(x,y))). (x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ K(x,y). (x \ (x * K(x,y))) * x = (1 / x) \ K(x,y). K(x,y) * x = (1 / x) \ K(x,y). (1 / x) \ K(x,y) = K(x,y) * x. (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(T(x,x \ u),y,z)). a(x,x \ y,L(T(x,x \ y),z,u)) = (L(x,z,u) * y) \ (y * L(T(x,x \ y),z,u)). x != R(T(y / (1 / z),u),1 / z,z) | x = T(y * z,u). R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). R(x,y,y \ 1) = R(x,(y \ 1) \ 1,y \ 1). R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). x \ R(x,y \ 1,y) = a(x,1 / y,y). L(a(x,1 / y,y),x,K(y \ 1,y)) = a(x,y \ 1,y). K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = T(x * y,x \ (1 / y)). T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). x != L(y,z,u / z) | x = u \ ((u / z) * (z * y)). K(1 / x,y / (x \ 1)) = y \ ((y / (x \ 1)) * ((x \ 1) * (x * T(x \ 1,y / (x \ 1))))). x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). x != y / ((z \ u) \ u) | x = y / T(z,z \ u). x * T(x \ (x / y),y) = x / T(y,y \ 1). (x / y) * K(y \ 1,y) = x / T(y,y \ 1). x * (L(x,y,z) / T(x,x \ 1)) = L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x). L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = x * (L(x,y,z) / T(x,x \ 1)). (x / T(y,y \ 1)) * y = x * K(y \ 1,y). x * y = (x * T(y,y \ 1)) * K(y \ 1,y). (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. x * y != z * ((y \ 1) \ 1) | x * K(y \ 1,y) = z. x * ((y \ 1) \ 1) != z * y | z * K(y \ 1,y) = x. x * y != z * K(y \ 1,y) | x * T(y,y \ 1) = z. x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. (x * y) * (1 / y) = (x * T(y,y \ 1)) * (y \ 1). (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). x * y != (z * (u \ 1)) * ((u \ 1) \ 1) | x \ R(z,u \ 1,u) = y. x \ R(x,y \ 1,y) = a(x,y \ 1,(y \ 1) \ 1). a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). x * (((x \ y) \ 1) \ 1) = x / (((y \ x) \ 1) \ 1). x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). (x * (y / (y * x))) * (x \ 1) = ((y / (y * x)) * x) * (1 / x). ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). x != y \ R(y,z \ 1,z) | x = a(y,1 / z,z). a(x,y \ 1,(y \ 1) \ 1) = a(x,1 / y,y). x * y != (z * u) * K(u,u \ 1) | x \ (z * T(u,u \ 1)) = y. (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) = y. x * y != (z / T(u,u \ w)) * ((u \ w) \ w) | z / y = x. x / y = (x / T(y,y \ 1)) * K(y,y \ 1). (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. (x * K(y,y \ 1)) * K(y \ 1,y) = x. ((x \ 1) * (x * y)) * K(x,x \ 1) = L(y,x,x \ 1). (K(x,x \ 1) * y) * K(x \ 1,x) = y. x * y != (z * K(u \ 1,u)) * K(u,u \ 1) | x \ z = y. K(x,x \ 1) \ y = y * K(x \ 1,x). R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)). K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). L(x \ (y * K(z \ 1,z)),x,K(z,z \ 1)) = (K(z,z \ 1) * x) \ y. R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. L(x,K(x,x \ 1),y) = x. L(1 / x,K(x \ 1,x),y) = 1 / x. K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). T(K(1 / x,y),x \ 1) = K(x \ 1,y). T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). (1 / x) * K(x \ 1,y) = K(1 / x,y) * (1 / x). K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). x != T(K(y,z),T(y,y \ 1)) | x = T(K(y,z),y). K(T(x,x \ 1),y) = T(K(x,y),x). L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = x * ((x \ 1) * L(x,y,z)). L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = L(L(x,y,z),x \ 1,x). x != L(L(y,z,u),y \ 1,y) | x = L(1 / (1 / y),z,u). L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = L(1 / (1 / x),y,z). L(x,y,z) * (T(1 / x,L(x,y,z)) * x) = L(1 / (1 / x),y,z). L(x,y,z) * (x * T(x \ 1,L(x,y,z))) = L(1 / (1 / x),y,z). K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). T(K(x \ 1,x),((y * x) / y) \ x) = K(x \ (((y * x) / y) \ x),x). x != T(K(y \ 1,y),z) | x = K(y \ 1,y). K(x \ (((y * x) / y) \ x),x) = K(x \ 1,x). x * ((y \ 1) * (y * T(y \ 1,x))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). (1 / x) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). x != K(y,y \ 1) * (y * z) | x = y * (K(y,y \ 1) * z). T(x,x \ 1) * y = x * (K(x,x \ 1) * y). x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. x * y != L(z,K(u \ 1,u),1 / u) | x \ z = y. (1 / x) \ L(y,x,x \ 1) = x * y. L(x,y,y \ 1) != z | (1 / y) * (y * x) = z. (1 / x) * (y * x) = L(T(y,x),x,x \ 1). L(T(x,y),y,y \ 1) = (1 / y) * (x * y). L(x,y \ 1,y) = L(x,y \ 1,(y \ 1) \ 1). L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). x != (y / (z \ y)) * u | x = z * u. L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. x != K(y,y \ 1) \ z | x = z * K(y \ 1,y). x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x). (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). (1 / x) * (y * x) = (x \ 1) * (y * T(x,x \ 1)). (x \ 1) * (y * T(x,x \ 1)) = (1 / x) * (y * x). ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. (1 / (1 / x)) \ y = K(x,x \ 1) * (x \ y). K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. x * y != z * K(x \ 1,x) | z = ((x \ 1) \ 1) * y. z * K(x \ 1,x) != x * y | z = ((x \ 1) \ 1) * y. x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x. ((x \ 1) \ 1) * y = x * (y * K(x,x \ 1)). x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). K(x,y) * L(y,z,u) = L(y,z,u) * K(x,y). L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). K(x,y) * R(y,z,u) = R(y,z,u) * K(x,y). R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). K(x,y) * T(T(y,z),u) = T(T(y,z),u) * K(x,y). T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). K(x,y) * R(T(y,z),u,w) = R(T(y,z),u,w) * K(x,y). R(T(x,y),z,u) * K(w,x) = K(w,x) * R(T(x,y),z,u). (x * K(y,x)) * L(z,x,K(y,x)) = K(y,x) * (x * z). R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. x * y != L(K(z,u),u,1 / u) | x \ K(z,u) = y. (1 / x) \ K(y,x) = x * K(y,x). K(x \ 1,x) * K(y,x) = (x \ 1) * (x * K(y,x)). K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). (x \ y) * K(x \ 1,(x \ 1) \ 1) = ((x \ 1) \ 1) \ y. ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. K(x \ 1,x) * (T(x,y) \ z) = ((T(x,y) \ 1) \ 1) \ z. x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) \ x = z. x * ((((x \ 1) \ 1) \ 1) * y) = L(y,((x \ 1) \ 1) \ 1,(x \ 1) \ 1) * K(x \ 1,x). L(x,((y \ 1) \ 1) \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). x != y | x = T(y,K(z \ 1,z)). (1 / x) * (y * K(x \ 1,x)) = T((x \ 1) * y,K(z \ 1,z)). T((x \ 1) * y,K(z \ 1,z)) = (1 / x) * (y * K(x \ 1,x)). x != (1 / y) \ K(z,y) | x = y * K(z,y). ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). x != L(y,z,T(u,u \ w)) | x = L(y,z,(u \ w) \ w). L(x,T(y,y \ z) \ 1,T(y,y \ z)) = L(x,1 / T(y,y \ z),(y \ z) \ z). L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,1 / T(y,y \ z),(y \ z) \ z). K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). K(x,y) * R(y,z,u) != R(y,z,u) * w | K(x,y) = w. R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. x / ((y * x) / y) = ((y * x) / y) \ x. x * y != z / ((u * z) / u) | (((u * z) / u) \ z) / y = x. (((x * y) / x) \ y) / y = 1 / ((x * y) / x). K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). K(T(1 / x,y) \ 1,z) = K(T(x \ 1,y) \ 1,z). x != T(K(y,z),y) | x = K(T(y,y \ 1),z). K(x,y) = K(T(x,x \ 1),y). K(T(x,x \ 1),y) = K(x,y). x * R(K(x,y),z,u) = R(K(x,y),z,u) * x. R(K(x,y),z,u) * x = x * R(K(x,y),z,u). K(x,y) * T(x,z) = T(x,z) * K(x,y). T(x,y) * K(x,z) = K(x,z) * T(x,y). K(x,y) * L(x,z,u) = L(x,z,u) * K(x,y). L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). K(x,y) * R(x,z,u) = R(x,z,u) * K(x,y). R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). (x * y) / x = T((x * y) / x,K(y,z)). T((x * y) / x,K(y,z)) = (x * y) / x. K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. T(K(x,y),(z * x) / z) = K(x,y). (K(x * y,z) * y) * T(x,y) = (x * y) * R(K(x * y,z),y,T(x,y)). (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). T(x,R(K(x,y),z,u)) = x. K(x,R(K(x,y),z,u)) = 1. R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). T(K(x,y),R(x,z,u)) = K(x,y). x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). (1 / x) * (y / (1 / x)) = T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)). T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). x * y != (z * K(u,z)) * (z \ 1) | K(u,z) / y = x. K(x,y \ 1) / y = (1 / y) * K(x,y \ 1). (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. x * (1 / y) != (y * (z / (z * y))) * (y \ 1) | x = (z / (z * y)) * y. (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. T(x,y) * ((T(x,y) \ 1) * L(x,z,u)) = L(x,z,u) * (T(x,y) * T(T(x,y) \ 1,L(x,z,u))). L(x,y,z) * (T(x,u) * T(T(x,u) \ 1,L(x,y,z))) = T(x,u) * ((T(x,u) \ 1) * L(x,y,z)). x * y != T(x,x \ 1) * z | y = K(x,x \ 1) * z. T(1 / x,y) = K(x,x \ 1) * T(x \ 1,y). K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). x != ((y \ 1) \ 1) \ z | x = (y \ z) * K(y \ 1,y). x * (((x \ (y \ x)) \ 1) \ 1) = (y \ x) * K(y \ 1,y). (x \ y) * K(x \ 1,x) = y * (((y \ (x \ y)) \ 1) \ 1). ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). (x / (x * y)) * z != (x / (x * y)) * y | T(1 / (1 / y),x / (x * y)) = z. T(1 / (1 / x),y / (y * x)) = x. T(1 / (1 / x),(y / x) / y) = x. (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. x != ((y / (y * z)) \ 1) \ 1 | x = T(y / (y * z),z). x / (x * ((y \ 1) \ 1)) = T(x / (x * y),y). T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). T(x / (x * y),y) = x / (x * T(y,y \ 1)). x / (x * T(y,y \ 1)) = T(x / (x * y),y). T(x / (x * y),y) \ x = x * T(y,y \ 1). ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). x != ((y \ 1) \ 1) * z | x = y * (z * K(y,y \ 1)). (x \ 1) \ K(y,x) = x * (K(y,x) * K(x,x \ 1)). x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). x * y != T(z,R(u,u \ 1,z)) \ z | x \ (((z * u) / z) \ u) = y. x \ (((x * y) / x) \ y) = T(x,R(y,y \ 1,x)) \ 1. T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). T(x,x \ (y \ T(y,x))) = T(x,x \ 1). T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). x * y != T(z,R(T(u,z),T(u,z) \ 1,z)) \ z | (u \ T(u,z)) / y = x. (x \ T(x,y)) / y = 1 / T(y,R(T(x,y),T(x,y) \ 1,y)). 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). (R(T(x,y),z,u) * K(w,x)) * v5 = (K(w,x) * R(T(x,y),z,u)) * v5. K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). K(x \ 1,x) * (T(x,y) \ z) = T((x \ 1) \ 1,y) \ z. x * y != z * (((z \ x) \ 1) \ 1) | y = K((x \ z) \ 1,x \ z). K(x \ 1,x) = K(((x \ y) \ y) \ 1,(x \ y) \ y). K(((x \ y) \ y) \ 1,(x \ y) \ y) = K(x \ 1,x). K(x \ 1,x) * (y * T((x \ z) \ z,u)) = y * (1 / (1 / T((x \ z) \ z,u))). K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). (T(x,y) \ z) * K(x \ 1,x) = T((x \ 1) \ 1,y) \ z. T(x,y) \ z != K(x \ 1,x) * u | T(1 / (1 / x),y) \ z = u. ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. x != (1 / y) * (z * K(y \ 1,y)) | x = z * ((y \ 1) * (y * T(y \ 1,z))). T((x \ 1) * y,K(z \ 1,z)) = y * ((x \ 1) * (x * T(x \ 1,y))). K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). x * K(y,y \ 1) != T(y,y \ 1) * z | x = y * z. T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). x * (1 / T(x,y)) = T(x,y) \ ((x \ 1) \ 1). T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). x != K(y \ 1,y) * ((1 / y) * z) | x = (y \ 1) * z. x \ K(1 / x,y) = (x \ 1) * K(x \ 1,y). (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). (K(x,y) * R(T(y,z),u,w)) * v5 != R(T(y,z),u,w) * K(x,y) | 1 = v5. x \ T((y \ 1) * (x / (y \ 1)),K(z \ 1,z)) = K(1 / y,x / (y \ 1)). T(x,x \ K(y,x)) = T(x,x \ 1). K(x,y) / T(y,y \ 1) = y \ K(x,y). (x \ K(y,x)) * x = K(y,x) * K(x \ 1,x). K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. x * (K(y,x) / x) = K(y,x) * K(x,x \ 1). K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). x * y != z * (z * (K(u,z) / z)) | x \ ((z \ 1) \ K(u,z)) = y. T(x,y) \ ((x \ 1) \ K(z,x)) = x * (T(x,y) \ (x * (K(z,x) / x))). x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * (1 / (T(x,z) \ 1)). K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). x != (y \ K(1 / y,z)) * ((y \ 1) \ 1) | x = K(y \ 1,z). K(x \ 1,y / (1 / x)) = K(x \ 1,y / (x \ 1)). K(x \ 1,y) = K(x \ 1,(y * (1 / x)) / (x \ 1)). K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). K(x,(y \ 1) \ 1) = K(K(y,y \ 1) * x,y). K(K(x,x \ 1) * y,x) = K(y,(x \ 1) \ 1). L(x,y \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). L(x,y \ 1,y) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). ((x \ 1) \ 1) \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. x * y != (z \ 1) * K(z,u) | x \ (z \ K(z,u)) = y. K(x,y) \ (x \ K(x,y)) = x \ 1. (x \ K(x,y)) * z != K(x,y) * ((x \ 1) * u) | L(u,x \ 1,K(x,y)) = z. K(x,y) * ((x \ 1) * z) != (x \ K(x,y)) * u | L(z,x \ 1,K(x,y)) = u. L(x,y,z) * (T(x,u) * T(T(x,u) \ 1,L(x,y,z))) = L(L(x,y,z),T(x,u) \ 1,T(x,u)). L(x,y,z) * T(x * T(x \ 1,L(x,y,z)),u) = L(L(x,y,z),T(x,u) \ 1,T(x,u)). L(L(x,y,z),T(x,u) \ 1,T(x,u)) = L(x,y,z) * T(x * T(x \ 1,L(x,y,z)),u). x != L(L(y,z,u),T(y,w) \ 1,T(y,w)) | x = L(1 / (1 / y),z,u). L(x,y,z) * T(x * T(x \ 1,L(x,y,z)),u) = L(1 / (1 / x),y,z). L(x,y,z) * K(x \ 1,L(x,y,z)) = L(1 / (1 / x),y,z). L(x,y,z) * u != L(1 / (1 / x),y,z) | u = x * T(x \ 1,L(x,y,z)). K(x \ 1,L(x,y,z)) = x * T(x \ 1,L(x,y,z)). x * T(x \ 1,L(x,y,z)) = K(x \ 1,L(x,y,z)). L(K(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u. T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). x != (y \ 1) * R((y \ 1) \ 1,z,u) | x = y \ R(y,z,u). T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * K(x,(x / (y \ 1)) / x)) / ((x * y) / x). K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = ((x * y) / x) / ((x * y) / x). K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = 1. K(((x * y) / x) \ y,y \ ((x * y) / x)) = 1. x * y != K(((z * u) / z) \ u,u \ ((z * u) / z)) | x \ 1 = y. (((x * y) / x) \ y) \ 1 = 1 / (((x * y) / x) \ y). 1 / (((x * y) / x) \ y) = (((x * y) / x) \ y) \ 1. ((((x * y) / x) \ y) \ 1) \ 1 = ((x * y) / x) \ y. (x \ ((y * x) / y)) \ 1 = ((y * x) / y) \ x. (x \ (x * (y * T(y \ 1,x)))) \ 1 = ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) \ x. ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (y \ (y * (x * T(x \ 1,y)))) \ 1. ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (x * T(x \ 1,y)) \ 1. ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = x \ (T(1 / x,y) \ 1). (x * (y * T(y \ 1,x))) \ x = y \ (T(1 / y,x) \ 1). K(x \ (y \ (T(1 / y,x) \ 1)),x) = K(x \ 1,x). K(x \ ((y \ 1) \ (T(y,x) \ 1)),x) = K(x \ 1,x). K(x \ (T(y,x) \ y),x) = K(x \ 1,x). x \ (y \ (T(1 / y,x) \ 1)) = (x * (y * T(y \ 1,x))) \ 1. (x * (y * T(y \ 1,x))) \ 1 = x \ (y \ (T(1 / y,x) \ 1)). (x * K(y,x)) \ 1 = x \ (((x * y) \ x) \ (T(1 / ((x * y) \ x),x) \ 1)). x \ (((x * y) \ x) \ (T(1 / ((x * y) \ x),x) \ 1)) = (x * K(y,x)) \ 1. x \ (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = (x * K(y,x)) \ 1. x \ (((x * y) \ (x * T(y,x))) \ 1) = (x * K(y,x)) \ 1. x \ (((x * y) \ (y * x)) \ 1) = (x * K(y,x)) \ 1. x \ (K(y,x) \ 1) = (x * K(y,x)) \ 1. (x * K(y,x)) \ 1 = x \ (K(y,x) \ 1). x * y != z / K(u,z) | x \ (K(u,z) \ z) = y. x \ (K(y,x) \ x) = K(y,x) \ 1. x * (T(L(y \ 1,y,x) \ 1,x) \ (L(y \ 1,y,x) \ 1)) = K(y,x) \ x. 1 / (K(x,y) \ y) = (((y * x) \ y) * T(((y * x) \ y) \ 1,y)) / y. (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). K(x,y) / y = 1 / (K(x,y) \ y). 1 / (K(x,y) \ y) = K(x,y) / y. (K(x,y) / y) \ 1 = K(x,y) \ y. x != K(y,(z \ 1) \ 1) | x = K(K(z,z \ 1) * y,z). K(x,y) = K(K(y,y \ 1) * x,y). K(K(x,x \ 1) * y,x) = K(y,x). K(x,y) = K(x,1 / (1 / y)). K(x,1 / (1 / y)) = K(x,y). K(x,T(y \ 1,z)) = K(x,T(1 / y,z)). K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). x * y != L(K(z,u),u \ 1,u) | x \ K(z,u) = y. x \ K(y,x) = (x \ 1) * K(y,x). (x \ 1) * K(y,x) = x \ K(y,x). R(x,y \ 1,K(z,y)) = ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)). ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). a(1 / R(x,y,z),x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). R(x * T(x \ 1,x),y,z) = a(1 / R(x,y,z),x,x \ 1). a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z). x * y != (z \ R(z,u,w)) \ (z \ 1) | x \ (R(z,u,w) \ 1) = y. (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). L(1 / x,y,z) \ 1 = 1 / L(x \ 1,y,z). 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). (L(x,y,z) \ 1) \ 1 = L((x \ 1) \ 1,y,z). L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). R(1 / x,y,z) = 1 / (1 / R(x \ 1,y,z)). 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). (((1 / x) * y) \ y) \ 1 = 1 / R(T(x,(1 / x) * y),1 / x,y). 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. x != R(((y / (1 / z)) \ 1) \ 1,z \ 1,z) | x = T(y * z,y \ (1 / z)). ((x * y) \ 1) \ 1 = T(x * y,x \ (1 / y)). T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. x != ((y * z) * u) * (((((y * z) * u) \ (z * u)) \ 1) \ 1) | x = ((R(y,z,u) \ 1) \ 1) \ ((y * z) * u). ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). K((x * (y \ 1)) \ 1,x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). K(x \ 1,R(x,y,z)) \ 1 = R(x,y,z) * (1 / R(x,y,z)). R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. x != K(y \ 1,R(y,z,u)) \ 1 | x = K(R(y,z,u),y \ 1). R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. x != L(y \ (z * K(u \ 1,u)),y,K(u,u \ 1)) | x = (K(u,u \ 1) * y) \ z. x \ (y * K(z \ 1,z)) = (K(z,z \ 1) * x) \ y. (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). x \ y = (K(z,z \ 1) * x) \ (K(z,z \ 1) * y). (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). K(x,x \ 1) / y = K(x,x \ 1) * (1 / y). K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. L(x,y,K(z \ u,u \ z)) = x. x != L(a(y,1 / z,z),y,K(z \ 1,z)) | x = a(y,z \ 1,z). a(x,1 / y,y) = a(x,y \ 1,y). x != L(y \ R(y,z \ 1,z),y,K(z \ 1,z)) | x = a(y,z \ 1,z). x \ R(x,y \ 1,y) = a(x,y \ 1,y). x != L(y \ 1,y,K(z \ 1,z)) | x = (y * K(z \ 1,z)) \ K(z \ 1,z). x \ 1 = (x * K(y \ 1,y)) \ K(y \ 1,y). (x * K(y \ 1,y)) \ K(y \ 1,y) = x \ 1. K(x \ 1,x) / y = K(x \ 1,x) * (1 / y). K(x \ 1,x) * (1 / y) = K(x \ 1,x) / y. (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). x != a(y,1 / z,z) | x = a(y,z \ 1,(z \ 1) \ 1). a(x,y \ 1,y) = a(x,y \ 1,(y \ 1) \ 1). a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. x \ K(y \ 1,y) = (x * K(y,y \ 1)) \ 1. (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. x * K(y,y \ 1) = (1 / y) / (x \ (y \ 1)). (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). (x * K(y,y \ 1)) \ K(y,y \ 1) = x \ 1. x \ K(y,y \ 1) = (K(y \ 1,y) * x) \ 1. (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). x \ K(y,y \ 1) = (x * K(y \ 1,y)) \ 1. (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). x \ y = (x * K(z \ 1,z)) \ (y * K(z \ 1,z)). (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. x \ (K(y,y \ 1) * z) = (x * K(y \ 1,y)) \ z. (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). (x \ y) \ (K(x,x \ 1) * z) = (((x \ 1) \ 1) \ y) \ z. R(K(x,x \ 1),y,z) = K(x,x \ 1). x != R(K(y,y \ 1),z,u) | x = R(y,z,u) * ((1 / y) * (R(y,z,u) \ y)). K(x,x \ 1) = R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)). R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). K(x \ 1,R(x,y,z)) = K(x \ 1,x). L(x,y,z * K(u \ 1,u)) = (K(u \ 1,u) * (z * y)) \ ((z * K(u \ 1,u)) * (y * x)). (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)) = T(x,x \ y). T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). x * ((x * K(y \ 1,y)) \ z) = K(y,y \ 1) * z. x * ((x * K(y \ 1,R(y,z,u))) \ w) = K(y,y \ 1) * w. x * K(y \ 1,y) != (y \ 1) * z | x = (1 / y) * z. x \ R(x,y,z) = (1 / x) * R(x,y,z). (1 / x) * R(x,y,z) = x \ R(x,y,z). x != (1 / y) * R(y,z,u) | x = R(y,z,u) / y. x \ R(x,y,z) = R(x,y,z) / x. R(x,y,z) / x = x \ R(x,y,z). (x \ R(x,y,z)) * x = R(x,y,z). R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). T(x,x \ R(x,y,z)) = x. x * ((x * K(y \ 1,R(y,z,u))) \ w) != v5 * w | K(y,y \ 1) = v5. (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. (x * K(y \ z,z \ y)) * (x \ 1) != u | u = K(y \ z,z \ y). (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). K(x,x \ 1) * R(y,z,u) = R(K(x,x \ 1) * y,z,u). R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). x != K(y,y \ 1) * z | x = z * K(y,y \ 1). R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). x * y != R((z \ (u / (1 / w))) * z,w \ 1,w) | ((z \ (u * w)) * z) / y = x. ((x \ (y * z)) * x) / z = ((x \ (y / (1 / z))) * x) * (1 / z). ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). x * (T(y,x) \ y) = T(x,T(y,x)). x != y * (T(L(z \ 1,z,y) \ 1,y) \ (L(z \ 1,z,y) \ 1)) | x = K(z,y) \ y. T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. T(x,T(y,x * y)) = y \ (x * y). ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. T(x,y) = T(x,(y \ x) \ x). T(x,(y \ x) \ x) = T(x,y). T(T(x,y) / (x / y),x) = x / (x / y). T(T(x,y \ x) / y,x) = x / y. T(x,T(y,y \ x)) = T(x,y). T(x,T(y,x * y)) = T(x,y). T(x,T(x \ y,y)) = T(x,x \ y). T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). T(x,y \ x) = T(x,(1 / y) * x). T(x,(1 / y) * x) = T(x,y \ x). T(T(x * y,y) / x,x * y) = (x * y) / x. L(x,y \ z,T(y,y \ z)) = (y * (z / y)) \ (T(y,y \ z) * ((y \ z) * x)). (x * (y / x)) \ (T(x,x \ y) * ((x \ y) * z)) = L(z,x \ y,T(x,x \ y)). L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). (x / y) \ T(x,(x / y) \ 1) = x * (y / x). ((x \ T(y,x \ 1)) * y) / (x \ y) = R(y,(x \ y) / y,y). R(x,(y \ x) / x,x) = ((y \ T(x,y \ 1)) * x) / (y \ x). R(x,y,x) = T(y \ T(y * x,x),y). T(x \ T(x * y,y),x) = R(y,x,y). x != (y / z) \ T(y,(y / z) \ 1) | x = (((y / z) \ 1) \ z) * ((y / z) \ 1). x * (y / x) = (((x / y) \ 1) \ y) * ((x / y) \ 1). (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). x != ((y \ (z / (1 / u))) * y) * (1 / u) | x = y * (T((y \ z) * u,y) / u). ((x \ (y * z)) * x) / z = x * (T((x \ y) * z,x) / z). x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. (x \ y) * (1 / y) = (x \ ((y \ 1) \ 1)) * (y \ 1). (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). x != L(y,z,K(u \ 1,u)) | x = y. L(x,y,z * K(u \ 1,u)) = L(x,y,z). L(x,y,K(z \ 1,z) * u) = L(x,y,u). L(x,y,z * u) = L(x,y,((z \ 1) \ 1) * u). L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. (T(x,y) * z) / ((x \ T(x,y)) * z) = x. R(x,x \ T(x,y),z) = x. R(x,x \ (K(y,x) \ x),z) = x. R(x,K(y,x) \ 1,z) = x. (x \ T(x,y)) \ (T(x,y) * z) = x * z. K(x,y) * (x * z) = (K(x,y) * x) * z. (K(x,y) * x) * z = K(x,y) * (x * z). L(x,y,K(y,z)) = x. T(x * y,(x * y) \ y) = T(x * y,x \ 1). T(x,x \ y) = T(x,(x / y) \ 1). T(x,(x / y) \ 1) = T(x,x \ y). (x \ (y \ x)) * T(x,y \ 1) = y \ x. T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). (x / y) \ T(x,x \ y) = x * (y / x). (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. (x / (y * x)) \ T(x,x \ (y * x)) = x * y. ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). T(x * y,x \ 1) = ((x * y) \ y) \ y. x / T(y * x,y \ 1) = (y * x) \ x. x != T(y,(z \ 1) \ 1) | x = T(y,z). (((x \ 1) * y) \ y) \ y = T((x \ 1) * y,x). T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. (1 / x) \ y != (y \ ((1 / x) \ y)) * z | T(y,x) = z. (x \ ((1 / y) \ x)) * z != (1 / y) \ x | T(x,y) = z. (x / (y * x)) \ T(x,T(y,x)) = x * y. T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). T(x,y) \ (x * y) = T(y,x). x != T(y \ z,T(y,y \ z)) | x = ((y \ z) \ z) \ z. T(x \ y,x) = ((x \ y) \ y) \ y. x * y != T(z,T(u,z)) | T(z,u) / y = x. T(x,y) / y = x / T(y,x). T(x,y) / (T(y,x) \ x) = y. x * y != T(z,T(u,z)) | x \ T(z,u) = y. x \ T(y,x) = T(x,y) \ y. T(x,y) \ y = x \ T(y,x). T(x,T(T(y,x),z)) = T(x,T(y,z)). T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). T(x,T(y,y * x)) = T(x,L(y,x,y)). T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. K(T(x,y),T(y,x)) = K(x,y). (x / (y * x)) \ T(x,y) = x * y. T(x,y) * (x \ T(y,x)) = y. (x * y) / T(y,x) = T(x,y). a(x,T(y,z),T(z,y)) = (x * (y * z)) \ ((x * T(y,z)) * T(z,y)). (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). a(T(x,y),T(y,x),z) = (T(x,y) * (T(y,x) * z)) \ ((x * y) * z). (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). (x * y) * L(z,T(y,x),T(x,y)) = T(x,y) * (T(y,x) * z). T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). (x * (y / x)) / T(x,x \ y) = y / x. x / T(y,x / y) = y \ x. (x * (y / x)) * x = y * T(x,x \ y). (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). T(x,T(y,x / y)) = T(x,y). T(x / (x / y),y \ x) = y. x != L(R(y,z,u),w,v5) | x = R(L(y,w,v5),z,u). x = R(L(x,y,x),y,x). R(L(x,y,x),y,x) = x. (x * (y * x)) / x = L(x,y,x) * y. T(x,y) * T(T(y,x),x * y) = (T(y,x) * (x * y)) / T(y,x). (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). x / T(y \ x,y) = (y \ x) \ x. T(x * y,T(y,x)) = T(x * y,y). T(x / (x / (x / y)),y) = x / y. (x \ y) * x = (y / (y / x)) * (x \ y). (x / (x / y)) * (y \ x) = (y \ x) * y. ((x \ y) * x) / (x \ y) = y / (y / x). x != T(y \ T(y * z,z),y) | x = R(z,y,z). T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). x != T(y,(y \ 1) * z) | x = T(y,(1 / y) * z). T(x,x \ y) = T(x,(1 / x) * y). T(x,(1 / x) * y) = T(x,x \ y). L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). T(x,T(T(y,x),z)) = T(x,T(y,T(z,T(y,x)))). T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). T(x,y) / (x * y) = x / (y * x). (x * (y / x)) / x = y / (y / (y / x)). R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). x / T(y,(1 / y) * x) = y \ x. x != y / (z * y) | x = R(1 / z,z,y). T(x,y) / (x * y) = R(1 / y,y,x). T(x,x \ y) / y = x / ((x \ y) * x). x / T(y \ 1,y * x) = (y \ 1) \ x. T((x * y) / x,L(x,y,x)) = y. x * y != L(z,u,z) * u | x \ ((z * (u * z)) / z) = y. L(x,y,x) \ ((x * (y * x)) / x) = y. (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. T(x,y) = T(x,L(y,x,y)). T(x,L(y,x,y)) = T(x,y). x != T(y,L(z,y,z)) | x = T(y,T(z,z * y)). T(x,y) = T(x,T(y,y * x)). T(x,T(y,y * x)) = T(x,y). L(x,y,x) * T(y,x) = y * L(x,y,x). T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). R(T(x,y),x \ y,x) = (x \ y) \ y. R(1 / x,x,T(y,x)) = R(1 / x,x,y). R(1 / x,x,y) * R((T(y,x) / (y * x)) \ 1,z,u) = (T(y,x) * R(T(y,x) \ (y * x),z,u)) / (y * x). (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R((T(x,y) / (x * y)) \ 1,z,u). T(R(x,y,z),R(x,y,z) * u) = R(T(x,u * R(x,y,z)),y,z). R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). x != T(y,(1 / z) * y) | x = T(y,z \ y). T(x,x * (1 / y)) = T(x,y \ x). T(x,y) = T(x,x * (y / x)). T(x,x * (y / x)) = T(x,y). T(T(x,x * y),z) = T(T(x,z),y * x). T(T(x,y * x),z) = T(T(x,z),x * y). T(T(x,y),z) = T(T(x,z),(x \ y) * x). T(T(x,y),(x \ z) * x) = T(T(x,z),y). ((x \ y) * x) * T(x,y) != z | x * ((x \ y) * x) = z. T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). x != T(y,z * y) | x = T(y,y * z). T(x,L(x,y,x) * y) = T(x,x * y). R(T(T(x,y),z),x \ y,x) = T((x \ y) \ y,z). R(T(x,x * y),y,T(x,x * y)) = T(x,y). x != (T(y,z) \ y) * u | x = z * (((y * z) / y) \ u). T(x,y) * (x \ z) = x * (((y * x) / y) \ z). x * (((y * x) / y) \ z) = T(x,y) * (x \ z). L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). (x \ T(y,x \ 1)) * y = (x \ y) * T(y,y \ (x \ y)). (x \ y) * T(y,y \ (x \ y)) = (x \ T(y,x \ 1)) * y. T(x,y) = T(x,x \ T(x * y,y)). T(x,x \ T(x * y,y)) = T(x,y). (x \ y) * x = (y * (x \ y)) / (y / x). (x * (y \ x)) / (x / y) = (y \ x) * y. T(x / (x / y),x) = L(y,y \ x,y). L(T(x,y),x \ z,x) = T(T(z / (z / x),z),y). T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). T(x / y,x) = L(y \ x,(y \ x) \ x,y \ x). L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). x * T(x / (x / y),x) = y * ((y \ x) * y). R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). ((x \ 1) \ y) \ y = T(x \ 1,x * y). T(x \ 1,x * y) = ((x \ 1) \ y) \ y. x * L(y,x,y) != z * T(x,y) | L(y,x,y) = z. x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. R(1 / x,x,x \ y) = R(1 / x,x,y / x). R(1 / x,x,y / x) = R(1 / x,x,x \ y). T(T(x,y),z * x) = T(T(x,y),x * z). ((x \ y) * x) * (y / x) = y * (x \ y). R(x,K(x,y),z) = x. R(T(x,y),K(x,z),u) = T(x,y). L(x,y,z) * (K(x,u) * w) = (L(x,y,z) * K(x,u)) * w. (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). 1 != K(T(x,y),y) * z | K(y,x) = z. K(T(x,y),y) * z != 1 | K(y,x) = z. R(T(x,y),z,u) * (K(x,w) * v5) = (R(T(x,y),z,u) * K(x,w)) * v5. (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). (x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y). (x \ y) \ T(y,x) = R(x,x \ y,x). R(x,x \ y,x) = (x \ y) \ T(y,x). L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). T(x,y) * T(T(y,z),x) = T(y,z) * T(x,y). T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). x != T(y,T(T(z,y),u)) | x = T(y,T(z,u)). T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). x != y * (((z * y) / z) \ u) | x = ((z * y) / z) \ (y * u). T(x,y) * (x \ z) = ((y * x) / y) \ (x * z). ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). R(1 / x,x,x \ y) \ (y / x) = x * (y / x). (x / T(x,y)) * (T(y,z) * T(x,y)) = L(T(y,z),T(x,y),x / T(x,y)) * x. L(T(x,y),T(z,x),z / T(z,x)) * z = (z / T(z,x)) * (T(x,y) * T(z,x)). R(T(T(x,y),(x \ z) * x),x \ z,x) = T((x \ z) \ z,y). ((x \ y) / y) * (x * (y / x)) = y / x. T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). x != L(y,z,y) * T(z,y) | x = z * L(y,z,y). T(x,y) * T(y,y * x) = x * L(y,x,y). T(x,y) * T(y,x * y) = x * L(y,x,y). x != T(y,z) * T(z,y * z) | x = L(z,T(y,z),z) * T(y,z). x * L(y,x,y) = L(y,T(x,y),y) * T(x,y). L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). L(x,y,x) = L(x,T(y,x),x). L(x,T(y,x),x) = L(x,y,x). (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). K((1 / x) * (y * x),x) = K(T(y,x),x). K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). x != K(T((1 / y) * z,y),y) | x = K(T((y \ 1) * z,y),y). K(T(x \ y,x),x) = K(T((x \ 1) * y,x),x). K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). K(x,x \ y) = K(x,(x \ 1) * y). K(x,(x \ 1) * y) = K(x,x \ y). x != K(y \ 1,((y \ 1) \ 1) * z) | x = K(y \ 1,y * z). K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). K(x,y) = K(x,x \ ((x \ 1) \ y)). K(x,x \ ((x \ 1) \ y)) = K(x,y). T(x,y) * (T(y,x) / x) = x * (y / x). T(x,y) * (y / T(x,y)) = x * (y / x). x * (y / x) != T(x,y) * z | y / T(x,y) = z. T(x,y) * z != x * (y / x) | y / T(x,y) = z. (T(x,y \ 1) / (y \ x)) \ x = (x \ (y \ x)) * x. (x * (y / x)) * (y / (y / x)) = y * x. (x * y) * ((y * x) / ((y * x) / x)) = (y * x) * x. (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. (x * y) * ((y * x) / y) = (y * x) * x. x * (((y \ x) * y) / (y \ x)) = ((y \ x) * y) * y. x * (x / (x / y)) = ((y \ x) * y) * y. ((x \ y) * x) * x = y * (y / (y / x)). ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). T(x,y) \ T(x * y,y) = R(y,x,y). (x \ (y * x)) \ T(y * x,x) = R(x,y,x). x != R(y,(z \ y) / y,y) | x = ((z \ T(y,z \ 1)) * y) / (z \ y). R(x,x \ (y \ x),x) = ((y \ T(x,y \ 1)) * x) / (y \ x). (x \ y) * T(y,x \ 1) = (x \ T(y,x \ 1)) * y. (x \ T(y,x \ 1)) * y = (x \ y) * T(y,x \ 1). L(x,K(y,z),L(y,u,w)) = x. (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). L(x,K(y,z),y) = x. x != T((y * (z / u)) / y,u) | x = (y * (u \ z)) / y. R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. ((x \ y) * x) * T((x \ y) \ y,z) = (T(x,z) * (x \ y)) * x. L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). L(x,T(y,z) \ 1,y) = T(y,z) * ((T(y,z) \ 1) * x). T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). x != L(y,T(z,z \ u) \ 1,T(z,z \ u)) | x = L(y,1 / T(z,z \ u),(z \ u) \ u). L(x,T(y,y \ z) \ 1,y) = L(x,1 / T(y,y \ z),(y \ z) \ z). L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). R(x,x \ (y \ x),x) = ((y \ x) * T(x,y \ 1)) / (y \ x). (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). x * ((x \ y) * x) = y * (y / (y / T(x,y))). x * (x / (x / T(y,x))) = y * ((y \ x) * y). x * y != z * ((z \ x) * z) | y = T(x / (x / z),x). x / (x / T(y,x)) = T(x / (x / y),x). T(x / (x / y),x) \ x = x / T(y,x). T(x / y,x) \ x = x / T(y \ x,x). x / T(y \ x,x) = T(x / y,x) \ x. ((x \ y) * x) * T(T(x,x \ y),z) = (T(x,z) * (x \ y)) * x. (x * y) * T(T(y,y \ (y * x)),z) = (T(y,z) * (y \ (y * x))) * y. x * y != (T(z,u) \ z) * (T(z,u) * w) | x \ (z * w) = y. x \ (y * z) = ((y * x) / y) \ (T(y,x) * z). ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). L(x,y \ z,T(y,z)) = z \ (y * ((y \ z) * x)). x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). (x * y) * z != T(x,y) * (T(y,x) * u) | z = L(u,T(y,x),T(x,y)). L(x,y,z) = L(x,T(y,z),T(z,y)). L(x,T(y,z),T(z,y)) = L(x,y,z). L(x,y \ z,T(y,z / y)) = L(x,z / y,y). L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). L(x,y \ z,y) = L(x,y \ z,T(y,z)). L(x,y \ z,T(y,z)) = L(x,y \ z,y). (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). a(x,y,z) = a(T(x,y),T(y,x),z). a(T(x,y),T(y,x),z) = a(x,y,z). a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). x != T(y,T(z,u)) / (T(T(z,y),u) \ y) | x = T(z,u). T(x,T(y,T(x,z))) = T(x,y). T(x / (x / y),T(z,y)) = T(x / (x / y),z). T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). x != L(y,1 / T(z,z \ u),(z \ u) \ u) | x = L(y,((z \ u) \ u) \ 1,(z \ u) \ u). L(x,T(y,y \ z) \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). (x * y) * T(T(y,x),z) = (T(y,z) * (y \ (y * x))) * y. (T(x,y) * (x \ (x * z))) * x = (z * x) * T(T(x,z),y). (T(x,y) * z) * x = (z * x) * T(T(x,z),y). (x * y) * T(T(y,x),z) = (T(y,z) * x) * y. (x * y) * T(T(y,z),x) = (T(y,z) * x) * y. L(K(x,y) \ T(T(x,y),z),K(x,y),y * x) = (x * y) \ ((T(x,z) * y) * x). R(T(T(x,y),z * x),z,x) = T(T(x,y),z). R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. a(1 / L(x,y,z),x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). L(K(x \ 1,x),y,z) = a(1 / L(x,y,z),x,x \ 1). a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). x * y != a(1 / L(z,u,w),z,z \ 1) | L(K(z \ 1,z),u,w) / y = x. L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). R(x,K(y,y \ 1),z) = x. x != R(K(y,y \ 1) * (z / u),u,K(y \ 1,y)) | x = z / (u * K(y \ 1,y)). K(x,x \ 1) * (y / z) = y / (z * K(x \ 1,x)). x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). x != R(T(y,z * K(u \ 1,u)),z,K(u \ 1,u)) | x = T(y,z). T(x,y * K(z \ 1,z)) = T(x,y). x != R((y * K(z,z \ 1)) / u,u,K(z \ 1,z)) | x = y / (u * K(z \ 1,z)). (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). x * (y * K(z \ 1,z)) = (x * y) * K(z \ 1,z). (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). x * (K(y,y \ 1) * z) = (x * K(y,y \ 1)) * z. (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). x != R(1 / y,y,K(z,z \ 1)) | x = K(z,z \ 1) / (K(z,z \ 1) * y). 1 / x = K(y,y \ 1) / (K(y,y \ 1) * x). K(x,x \ 1) / (K(x,x \ 1) * y) = 1 / y. x \ K(y,y \ 1) = (x \ 1) * K(y,y \ 1). (x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1). x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). T(x,(y \ 1) * z) = T(x,(1 / y) * z). T(x,(1 / y) * z) = T(x,(y \ 1) * z). T(x,y * K(z,y)) = T(x,(y \ 1) \ K(z,y)). T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). x != T(y,R(1 / z,u,w)) | x = T(y,R(z \ 1,u,w)). T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). T(x,T(y,y \ 1) * z) = T(x,y * z). T(x,y * (z * K(u,u \ 1))) = T(x,y * z). x != T(y * z,(y \ 1) \ z) | x = y * z. T((x \ 1) * y,x \ y) = (x \ 1) * y. T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). K((x \ 1) * y,x \ y) = 1. K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). K(x,x \ 1) / y = 1 / (y * K(x \ 1,x)). 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. (x \ K(y,y \ 1)) * y = (x \ 1) * ((y \ 1) \ 1). T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R((z * K(y \ 1,y)) \ 1,u,w)). T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). K(L(x,y,z) \ 1,x) = K(x \ 1,x). K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). L(K(x \ 1,x),y,z) = K(x \ 1,x). (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). x != K(L(y,z,u) \ 1,y) | x = (L(y,z,u) \ y) \ ((L(y,z,u) \ 1) * y). K(x \ 1,x) = (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x). (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). L(K(x \ y,y \ x),z,u) = K((y \ x) \ 1,y \ x). x != y \ (z * K(u \ 1,u)) | x = (K(u,u \ 1) * y) \ z. (x \ y) * K(z \ 1,z) = (K(z,z \ 1) * x) \ y. (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). x \ (y \ 1) = (x \ (1 / y)) * K(y \ 1,y). (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). T(x,y \ (z \ 1)) = T(x,y \ (1 / z)). T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). x != (y * K(z,z \ 1)) * u | x = K(z,z \ 1) * (y * u). x * (K(y,y \ 1) * z) = K(y,y \ 1) * (x * z). K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). x != y * K(z,z \ 1) | x = K(z,z \ 1) * y. x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. L(x * K(y \ 1,y),z,u) = (u * z) \ (u * (K(y \ 1,y) * (z * x))). (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u * K(z \ 1,z),y,x). (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). x != ((y \ 1) * z) \ (K(y \ 1,y) * u) | x = ((1 / y) * z) \ u. K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. a(x,K(y,y \ 1) * z,u) = (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u). (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). (K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z). x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. (x * ((y \ 1) \ 1)) \ z = K(y \ 1,y) * ((x * y) \ z). K(x \ 1,x) * ((y * x) \ z) = (y * ((x \ 1) \ 1)) \ z. R(1 / x,y,z) \ u = K(x \ 1,x) * (R(x \ 1,y,z) \ u). K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. ((1 / x) \ y) \ z = K(x,x \ 1) * (((x \ 1) \ y) \ z). K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. K((x \ y) \ 1,x \ y) != z | z = K(y \ x,x \ y). K((x \ y) \ 1,x \ y) != z | K(y \ x,x \ y) = z. L(K(x \ y,y \ x),z,u) != w | K(x \ y,y \ x) = w. x * (T(y,z) / x) = T(x * (y / x),z). T(x * (y / x),z) = x * (T(y,z) / x). (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). x \ T(y,z) = T((x \ y) * x,z) / x. T((x \ y) * x,z) / x = x \ T(y,z). T(x * y,z) = x * (T(y * x,z) / x). x * (T(y * x,z) / x) = T(x * y,z). T(x * (y / x),K(y,z)) = x * (y / x). T(x * (y / x),z / y) = x * (T(y,y \ z) / x). x != y \ T(y * z,u) | x = (y \ 1) * T((y \ 1) \ z,u). T(x * y,z) / y = (y \ 1) * T((y \ 1) \ x,z). (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,z). x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. x != (y \ T(y * (z / y),u)) * y | x = K(y \ 1,y) * T(K(y,y \ 1) * z,u). T(x,y) = K(z \ 1,z) * T(K(z,z \ 1) * x,y). K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). T(x,T(x * y,z)) = T(x,T(y * x,z)). T(x,T(y * x,z)) = T(x,T(x * y,z)). T(K(x,y),z * (x / z)) = K(x,y). T(K(x * y,z),y * x) = K(x * y,z). x * y != (z \ T(u,w)) * z | x \ T((z \ u) * z,w) = y. T(x,y) \ T((z \ x) * z,y) = K(z \ T(x,y),z). T((x \ y) * x,z) != u * x | x \ T(y,z) = u. (x * y) * K(y * x,z) = K(y * x,z) * (x * y). K(x * y,z) * (y * x) = (y * x) * K(x * y,z). x != T(y,z) / (z \ y) | x = (y * z) / y. (x \ y) \ T((x \ y) * x,x) = (y * x) / y. x != y * (T(z,u) / y) | x = T(y * (z / y),u). T(x * (y / x),z / y) = T(x * (y / x),y \ z). ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). K(x,x \ 1) * T(y,z) = T(K(x,x \ 1) * y,z). T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). T(x,y) * K(z,z \ 1) = T(K(z,z \ 1) * x,y). T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). x != (y * ((z / (u * (w \ z))) / y)) * (u * (w \ z)) | x = ((y * ((w / u) / y)) * u) * (w \ z). (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. x != T(y,z / u) | x = T(y,(u / z) \ 1). T(x * (y / x),y \ z) = T(x * (y / x),(y / z) \ 1). T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). T(x * K(y,y \ 1),z) = K(y,y \ 1) * T(x,z). T(x \ y,z) = T(((x \ 1) \ 1) \ y,z) * K(x,x \ 1). T(((x \ 1) \ 1) \ y,z) * K(x,x \ 1) = T(x \ y,z). (x \ y) * T(x,y) = (x \ ((x * y) / x)) * x. (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). (x * (y * z)) / x = (z \ ((x * (z * y)) / x)) * z. (x \ ((y * (x * z)) / y)) * x = (y * (z * x)) / y. x != (y * (z * ((y \ (u * w)) / z))) / w | x = ((y * z) / w) * ((z * (((y * z) / w) \ u)) / z). (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * ((z * (((x * z) / x) \ y)) / z). T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). x / (y * ((x \ 1) \ 1)) = (1 / (1 / x)) / (y * x). (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. x != y * (z \ T(z * (y \ u),y)) | x = ((y \ (u / (z \ 1))) * y) * (z \ 1). ((x \ (y * z)) * x) / z = ((x \ (y / (z \ 1))) * x) * (z \ 1). ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. T(x,T(y \ z,u)) = T(x,T(((y \ 1) \ 1) \ z,u)). T(x,T(((y \ 1) \ 1) \ z,u)) = T(x,T(y \ z,u)). T(x,T((y \ 1) \ z,u)) = T(x,T((1 / y) \ z,u)). T(x,T((1 / y) \ z,u)) = T(x,T((y \ 1) \ z,u)). (L(x,y,z) \ 1) * T(x,x \ 1) = L(x,y,z) \ x. ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). x * y != (z * (u * K(w \ 1,w))) * v5 | (K(w \ 1,w) * ((z * u) * v5)) / y = x. (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). L(x,y * K(z \ 1,z),u) = (u * y) \ (K(z,z \ 1) * (u * (K(z \ 1,z) * (y * x)))). (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). x * K(y \ 1,y) != (1 / y) \ z | x = (y \ 1) \ z. (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). x != (y \ 1) \ (R(y,z,u) \ 1) | x = (y \ R(y,z,u)) \ 1. (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. a(x,y,K(z,z \ 1) * u) = ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1). ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). x != (y * z) \ (y * (K(u \ 1,u) * (z * w))) | x = L(w * K(u \ 1,u),z,y). L(x,y,z) * K(u \ 1,u) = L(x * K(u \ 1,u),y,z). L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). K(x,x \ 1) * L(y,z,u) = L(y * K(x,x \ 1),z,u). L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). L(x,y,z) * K(u,u \ 1) = L(x * K(u,u \ 1),y,z). L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). (x \ L(x * y,z,u)) * x = L(y * x,z,u). L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. L(T(x,x \ 1),y,z) = K(x,x \ 1) * L(x,y,z). K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). x != K(y,y \ 1) * L(y,z,u) | x = y * (L(y,z,u) * (1 / y)). L(T(x,x \ 1),y,z) = x * (L(x,y,z) * (1 / x)). x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). x != y \ L((y \ 1) \ 1,z,u) | x = T(L(y,z,u) * (1 / y),y). L(x,y,z) * (1 / x) = T(L(x,y,z) * (1 / x),x). T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). (x \ L(x,y,z)) * x = L(x,y,z). L(x,y,z) / x = x \ L(x,y,z). (x \ L(x,y,z)) \ L(x,y,z) = x. x != L(y,z,u) / y | x = (1 / y) * L(y,z,u). x \ L(x,y,z) = (1 / x) * L(x,y,z). (1 / x) * L(x,y,z) = x \ L(x,y,z). (x \ L(x,y,z)) * T(x,u) = T(x,u) * (x \ L(x,y,z)). T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). L(x,y,z) * u != x \ L(x,y,z) | T(1 / x,L(x,y,z)) = u. T(1 / x,L(x,y,z)) = x \ 1. K(x,y \ 1) = K(x,T(y \ 1,L(y,z,u))). K(x,T(y \ 1,L(y,z,u))) = K(x,y \ 1). L(1 / x,y,z) = L(x \ 1,y,z) * K(x,x \ 1). L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). L(1 / x,y,z) \ 1 = L(x \ 1,y,z) \ K(x \ 1,x). L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). x * y != T(z,u) * (z \ L(z,w,v5)) | x \ ((z \ L(z,w,v5)) * T(z,u)) = y. x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). x != L(y \ 1,z,u) \ K(y \ 1,y) | x = (y \ 1) * (L(y \ 1,z,u) \ y). L(1 / x,y,z) \ 1 = (x \ 1) * (L(x \ 1,y,z) \ x). (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. x * y != L((z \ ((u \ 1) \ w)) * z,u \ 1,u) | x \ ((z \ (u * w)) * z) = y. x \ ((y \ (x * z)) * y) = (x \ 1) * ((y \ ((x \ 1) \ z)) * y). (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). x != (y \ 1) * ((z \ ((y \ 1) \ u)) * z) | x = ((z \ (u * y)) * z) / y. x \ ((y \ (x * z)) * y) = ((y \ (z * x)) * y) / x. ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). (x \ ((y \ (x * z)) * y)) * x != u | u = (y \ (z * x)) * y. (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. x != y \ (z / (z / y)) | x = (1 / z) * ((y \ z) * y). K(x \ y,x) = (1 / y) * ((x \ y) * x). (1 / x) * ((y \ x) * y) = K(y \ x,y). x != y \ (z / (z / y)) | x = z / (y * (z / y)). K(x \ y,x) = y / (x * (y / x)). x / (y * (x / y)) = K(y \ x,y). x * K(x \ y,x) = y / (y / x). x / (x / y) = y * K(y \ x,y). K(x \ y,x) * (x * (y / x)) = y. x != (y \ 1) * K(z,y \ 1) | x = y \ K(z,y \ 1). x / (x / (y \ 1)) = y \ K((y \ 1) \ x,y \ 1). x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). (x * y) / ((x * y) / x) = x * K(y,x). T(x * K(x \ y,x),y) = L(x,x \ y,x). T(x,y) / (T(x,y) / y) = y * K(y \ x,y). x != T(y * z,K(z,y)) | x = K(z,y) \ (z * y). x * y = K(y,x) \ (y * x). K(x,y) \ (x * y) = y * x. K(x,y) * (y * x) = x * y. x * (y * z) != z * y | x = K(z,y). x * (y * z) != z * y | K(z,y) = x. K(x \ y,x) * y = (x \ y) * x. x != T(y \ 1,z) \ (y \ 1) | x = (y * T(y \ 1,z)) \ 1. K(x,y \ 1) = (y * T(y \ 1,x)) \ 1. (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). x * y != T(z,u) \ z | K(u,z) / y = x. K(x,y) / y = 1 / T(y,x). K(x,y) / ((y \ 1) \ 1) = T(y,x) \ 1. K(x,L(y,z,u)) = L(T(y,x),z,u) \ L(y,z,u). L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). K(x,R(y,z,u)) = R(T(y,x),z,u) \ R(y,z,u). R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). x * K(y,z) != z | x = T(z,y). x * K(y,z) != z | T(z,y) = x. x / K(y,x) != z | z = T(x,y). x / K(y,x) != z | T(x,y) = z. ((x \ y) \ y) * K(x \ y,x) = x. (x * K(y,x)) \ (x * x) = T(x,y). T(x,y) = (x * K(y,x)) \ (x * x). K(x \ K(x,y),x) = K(x \ 1,x). K(x,y) * ((y * x) / y) = x. x \ (y * K(x,y)) = ((y * x) / y) \ y. ((x * y) / x) \ x = y \ (x * K(y,x)). x * (((y * x) / y) \ z) = K(x,y) * z. K(x * (1 / y),x) = T(x,y \ x) \ x. K(x,y) * (T(y,x) * z) = y * z. K(x,y) \ y != z | z = T(y,x). K(x,y) \ y != z | T(y,x) = z. (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). L(T(x,y),T(z,x),z / T(z,x)) * z = K(x,z) * (T(x,y) * T(z,x)). x != (y / z) \ T(y / z,u) | x = (z * T(z \ y,u)) / y. K(x / y,z) = (y * T(y \ x,z)) / x. (x * T(x \ y,z)) / y = K(y / x,z). x != y \ T(y,z) | x = ((y * z) / y) * (z \ 1). K(x,y) = ((x * y) / x) * (y \ 1). x != y \ T(y,z) | x = ((y * z) / y) / z. K(x,y) = ((x * y) / x) / y. x != y \ T(y,z) | x = z \ ((y * z) / y). K(x,y) = y \ ((x * y) / x). x != y \ T(y,z) | x = (1 / y) * T(y,z). K(x,y) = (1 / x) * T(x,y). x != y \ T(y,z) | x = T(y,z) / y. K(x,y) = T(x,y) / x. x \ K(y,x \ 1) = (y * (x \ 1)) / y. x != K(y,z \ 1) | x = K(y,1 / z). x \ T(x,y \ 1) = K(x,1 / y). K(R(x,y,z),u) = R(x,y,z) \ R(T(x,u),y,z). R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). x * K(x,y) != z | z = T(x,y). x * K(x,y) != z | T(x,y) = z. K(x,x * (y \ 1)) = x \ T(x,y \ x). T(x,y) * K(y,T(x,y)) = x. K(x,x \ y) * y = x * (y / x). K(x,y) * (x * z) = T(x,y) * z. K(x,y) \ (T(x,y) * z) = x * z. K(x,y) \ z != u | x * (T(x,y) \ z) = u. K(x / (x / y),x) = (x / (x / y)) \ L(y,y \ x,y). (x / (x / y)) \ L(y,y \ x,y) = K(x / (x / y),x). T(1 / (1 / x),y) = (1 / (1 / x)) / K(y,x). (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). K(x,y / x) * (x \ y) = y / x. x != K(y,z) \ z | x = (K(y,z) / z) \ 1. T(x,y) = (K(y,x) / x) \ 1. K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). (x * K(y,x)) \ (y * x) = y. x * R(y,z,u) = R(y * K(x,y),z,u) * x. R(x * K(y,x),z,u) * y = y * R(x,z,u). (x * y) / x = T((x * (y * K(z,y))) / x,z). T((x * (y * K(z,y))) / x,z) = (x * y) / x. (1 / (x * K(y,x))) * L(x,z,u) = L(T(x * K(y,x),y),z,u) / (x * K(y,x)). L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). 1 / (1 / x) = T(1 / (1 / (x * K(y,x))),y). T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). T(x \ K(y,x \ 1),y) = x \ 1. ((x \ 1) \ 1) * y = (y * K(x,y)) * ((x \ 1) \ 1). (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. T(K(x,y \ 1) / y,x) = 1 / y. x != T(y \ 1,z) / (y \ 1) | x = T(1 / y,z) * y. K(x \ 1,y) = T(1 / x,y) * x. T(1 / x,y) * x = K(x \ 1,y). K(x \ 1,y) != z | x * T(x \ 1,y) = z. x * y != z * K(z,u) | T(z,u) / y = x. T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). x != T(y,z) | x = T(y,T(z,T(y,u))). x * K(x,y) = T(x,T(y,T(x,z))). T(x,T(y,T(x,z))) = x * K(x,y). R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. T(T(x,y),x \ 1) = (x \ 1) \ K(x,y). (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). T(1 / x,y) = (1 / x) * K(x \ 1,y). (1 / x) * K(x \ 1,y) = T(1 / x,y). x * y != K(z,u) * z | T(z,u) / y = x. T(x,y) / R(x,z,u) = (K(x,y) / R(x,z,u)) * x. (K(x,y) / R(x,z,u)) * x = T(x,y) / R(x,z,u). K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). x * (K(y,x) * y) = y * x. L(x \ y,x,K(y,z)) = (K(y,z) * x) \ T(y,z). T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). T(x,y) != z | x * K(x,y) = z. K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). (x * y) \ (K(x,y) * ((y * x) * z)) != u | L(z,y * x,K(x,y)) = u. (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). x != ((y * z) / y) \ z | x = z * (((y * z) / y) \ 1). K(x,y) = x * (((y * x) / y) \ 1). x * y != ((z * u) / z) \ u | x \ K(u,z) = y. x \ K(x,y) = ((y * x) / y) \ 1. ((x * y) / x) \ 1 = y \ K(y,x). K(x,y) / x = 1 / ((y * x) / y). x * y != K(z,(u * z) \ u) | K(z,z \ 1) / y = x. K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). K(x \ R(x,y,z),x) = (1 / x) * x. L(T(x,y) \ 1,x,z) = (z * x) \ (z * K(y,x)). (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). x \ (y * K(z,y \ x)) = L(T(y \ x,z) \ 1,y \ x,y). L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). K(x \ (y * x),x) = K(y,x). K((x \ y) \ y,x \ y) = K(x,x \ y). K(T(x,y),y * x) = K(R(x,y,x),y * x). K(R(x,y,x),y * x) = K(T(x,y),y * x). K(R(x,y,y \ 1),y) = K((y * x) * (y \ 1),y). K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). K(x,x \ y) = K(y / (y / x),x \ y). K(x / (x / y),y \ x) = K(y,y \ x). K(x,y) * K(y,x) = 1. K(x,y) * z != 1 | K(y,x) = z. K(x,y) = K(x * K(y,x),y). K(x * K(y,x),y) = K(x,y). K(x,x \ (y * x)) = K(x,y). K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). K(x,R(x \ y,z,u)) = K(x,R(y / x,z,u)). K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). L(x \ K(y,z),x,K(z,y)) = (K(z,y) * x) \ 1. L(L(K(x,y),z,u),K(y,x),w) = L((w * K(y,x)) \ w,z,u). T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z). (x * K(y,x)) \ 1 = x \ K(x,y). T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. K(x \ y,x) * (y / x) = x \ y. K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). (T(x,y) * y) / T(x,y) = y * K(x,y). T(x,y * x) * T(y,x) = (y * x) * K(T(x,y),y * x). (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). x != ((y \ 1) \ 1) * K(z,(y \ 1) \ 1) | x = (y \ 1) \ K(z,y). (x * ((y \ 1) \ 1)) / x = (y \ 1) \ K(x,y). (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. x * y != z * K(u,z) | x \ ((u * z) / u) = y. (x * y) \ ((x * y) / x) = L(x \ 1,x,y). T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). x * ((y * z) / y) = x * (z * K(y,z)). x != ((y * z) * z) / (y * z) | x = T(y * z,z) / T(y,z). x * K(y * x,x) = T(y * x,x) / T(y,x). T(x * y,y) / T(x,y) = y * K(x * y,y). x != ((y * z) * z) / (y * z) | x = y \ T(y * z,z). x * K(y * x,x) = y \ T(y * x,x). x \ T(x * y,y) = y * K(x * y,y). ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). R(x,y,x) = T(x * K(y * x,x),y). T(x * K(y * x,x),y) = R(x,y,x). R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). (x * K(x * y,x)) * y = T(x * y,x). L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). L(x * K(y,x),x \ 1,x) = (y * (1 / (1 / x))) / y. L(x,y,x) = (y * K(x,y)) \ ((x * (y * x)) / x). (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). (1 / x) * ((y * x) / y) = K(y,x). K(x,y) = (1 / y) * ((x * y) / x). (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). x * y != ((z * u) / z) / u | K(z,u) / y = x. K(x,y) / (1 / y) = (x * (1 / (1 / y))) / x. K(x,(y * z) / y) = ((y * ((x * z) / x)) / y) / ((y * z) / y). ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). K(x,x \ y) = (x \ y) \ (y / x). (x \ y) \ (y / x) = K(x,x \ y). x * K(y,x) != z | z = (y * x) / y. x * K(y,x) != z | (y * x) / y = z. K(x,y) * K(x \ 1,x) = (x \ 1) * T(x,y). (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. x * (y * R(z,u,w)) != (y * R(z,u,w)) * T(z,y) | x = R(z,y,R(z,u,w)). T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). (1 / (1 / x)) / (x * y) = x / ((y * K(x,y)) * ((x \ 1) \ 1)). x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). L(((x * y) \ x) \ 1,(x * y) \ x,y * x) = y. x != K(y,z / y) | x = z \ (y * (z / y)). K(x,x \ y) = y \ (x * (y / x)). x \ (y * (x / y)) = K(y,y \ x). x != K(y,(z \ y) / y) | x = K(y,z \ 1). K(x,x \ (y \ x)) = K(x,y \ 1). K(x,x \ y) \ 1 = K(y / x,x). (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. x \ L(T(x,y),y,x) != z | K(x,x * y) = z. K(x,x \ (y * x)) != z | K(x,y) = z. K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). x != K(y \ (y / (z \ u)),y) | x = z \ (u * T(u \ z,y)). K((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). K((x * y) \ x,x * y) = K(y \ 1,x * y). (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. x * y != T(x,z) * (x \ u) | y = ((z * x) / z) \ u. K(x,y) * (x \ z) = ((y * x) / y) \ z. ((x * y) / x) \ z = K(y,x) * (y \ z). x * y != T(x,z) * T(z,x * z) | y = L(z,x,z). K(x,y) * T(y,x * y) = L(y,x,y). x * y != T(x,z) * T(z,z * x) | y = L(z,x,z). K(x,y) * T(y,y * x) = L(y,x,y). a(x,K(x,y) * z,u) = (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u). (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. x != K(y,z) * R(y,u,w) | x = R(y,u,w) * K(y,z). T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). K(x,y) * z = x * (K(x,y) * (x \ z)). x * (K(x,y) * (x \ z)) = K(x,y) * z. x != T(y,z) * (y \ u) | x = ((z * y) / z) \ (y * u). K(x,y) * z = ((y * x) / y) \ (x * z). ((x * y) / x) \ (y * z) = K(y,x) * z. x != T(y,z) * (y \ L(y,u,w)) | x = (y \ L(y,u,w)) * T(y,z). K(x,y) * L(x,z,u) = (x \ L(x,z,u)) * T(x,y). (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). x * y != T(z,u) * (z \ (T(u,z) * w)) | (u * w) / y = x. (x * y) / (T(x,z) * y) = K(z,x). x * y != T(z,u) * (z \ (T(u,z) * w)) | x \ (u * w) = y. K(x,y) \ (y * z) = T(y,x) * z. x * y != T(z,u) * (z \ w) | x \ (K(z,u) * w) = y. x \ (K(x,y) * z) = K(x,y) * (x \ z). x \ (K(y,x) * z) = T(x,y) \ z. T(x * y,z) * L(u,y,x) = K(x * y,z) * (x * (y * u)). K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). T(x,y) \ (x * z) = K(y,x) * z. x != y * (T(y,z) \ u) | x = y \ (((z * y) / z) * u). K(x,y) * z = y \ (((x * y) / x) * z). x \ (((y * x) / y) * z) = K(y,x) * z. x * y != z * (T(z,(u / w) / (w \ 1)) \ (u / w)) | (T(u,z) / w) / y = x. (T(x,y) / z) / (x / z) = K((x / z) / (z \ 1),y). K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). T(x,y) * (K(y,x) * z) = x * z. K(x,y) * (y \ z) != u | T(y,x) \ z = u. x * K(T(x,y),z) = K(y,x) * T(T(x,y),z). K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). (x * y) \ (K(z,x) * (T(x,z) * (y * u))) = L(L(u,y,T(x,z)),T(x,z) * y,K(z,x)). L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))). K(x \ y,y) = (x * T(x \ y,y)) * (y \ 1). (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). K(x,1 / y) != z | K(x,y \ 1) = z. K(x,y) = K(x,(y \ x) \ x). K(x,(y \ x) \ x) = K(x,y). K(x,T(y,y \ x)) = K(x,y). K(x * y,T(x,y)) = K(x * y,x). x * y != z * (T(u,w) / z) | T(z * (u / z),w) / y = x. T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). K(x,(x \ 1) * y) * y = x * (y / x). K(x,y) * ((x \ 1) \ y) = x * (((x \ 1) \ y) / x). K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. T(x,y) * (x \ z) != u | K(x,y) * z = u. K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). (K(x * y,z) * (x * (y * u))) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). a(K(x,y),z,z \ 1) = K(y,x) * R(K(x,y),z,z \ 1). K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). x != K(y,z) * T(T(z,u),w) | x = T(T(z,u),w) * K(y,z). K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). x * y != K(z,u) * w | x \ (K(u,z) \ w) = y. x \ (K(y,z) \ x) = T(K(z,y),x). x != y \ R(y,z \ 1,z) | x = a(y,z \ 1,z). K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). x * (K(y,z) * u) != u | x = K(z,y). x * (K(y,z) * u) != u | K(z,y) = x. x / (K(y,z) * x) != u | u = K(z,y). x / (K(y,z) * x) != u | K(z,y) = u. L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). K(x,y) \ z != u | u = K(y,x) * z. K(x,y) \ z != u | K(y,x) * z = u. K(x,y) * z != K(u,x) * K(x,y) | z = K(u,x). K(x,y) * (K(z,y) * K(y,x)) = K(z,y). R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). K(x,y) * (x * z) != u | u = T(x,y) * z. K(x,y) * (x * z) != u | T(x,y) * z = u. R(x,y,z * K(y,z)) = ((x * y) * (z * K(y,z))) / (T(y,z) * z). ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). T(x,x \ y) / ((y \ x) \ x) = x / ((x \ ((y \ x) \ x)) * x). T(K(x,y) / (1 / y),x) = 1 / (1 / y). x * y != K(((z * u) \ z) \ 1,u) | 1 / y = x. 1 / ((x * y) \ x) = T(1 / ((x * y) \ x),y). T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). K(x,T(y,T(x,z))) = K(x,y). T(x,T(y,T(x,z))) != u | T(x,y) = u. R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). T(x,x \ K(x,y)) = (x \ 1) \ 1. K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). K(x,y) / x = 1 / (x * K(y,x)). 1 / (x * K(y,x)) = K(x,y) / x. T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). (x \ y) * K(x,x \ y) != z | z = y / x. (x \ y) * K(x,x \ y) != z | y / x = z. T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). K(x,x \ y) * z != x * (y / x) | T(y,K(x,x \ y)) = z. T(x,K(y,y \ x)) = x. L(x,K(y,y \ z),z) = (y * (z / y)) \ (z * (K(y,y \ z) * x)). (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). K(x / y,y) != z | K(y \ x,y) = z. K(x / y,z) \ y = T(x / y,z) \ x. T(x / y,z) \ x = K(x / y,z) \ y. x * (K(x,y) * z) != u | u = T(x,y) * z. x * (K(x,y) * z) != u | T(x,y) * z = u. x \ y != K(x,z) * u | T(x,z) \ y = u. (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. T(x,y) * (K(y,x) * z) != u | u = x * z. T(x,y) * (K(y,x) * z) != u | x * z = u. K(x,y) * z != u | y * (T(y,x) \ z) = u. T(T(x,y),z) \ x = K(z,T(x,y)) * K(y,x). K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. T(x,y) \ T(x,z) = K(y,x) * K(x,z). x * (K(y,x) * z) = K(y,x) * (x * z). K(x,y) * (y * z) = y * (K(x,y) * z). x / T(y,x) = K(x,y) * (x / y). K(x,y) * (x / y) = x / T(y,x). K(x,y / z) * (z * T(z \ y,x)) = y. K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. (x \ K(x,y)) * ((x \ 1) \ 1) = K(x,y). (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). (K(x,y) / x) \ 1 = x * K(y,x). (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. K(x \ R(x,y,z),x) = (x \ K(x,x \ 1)) * x. T(x,x * y) * K(y,x) = L(x,y,x). x * y != K(z * u,z) * T(z,u) | x \ R(z,u,z) = y. x \ R(x,y,x) = T(x,x * y) \ T(x,y). T(x,x * y) \ T(x,y) = x \ R(x,y,x). K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | w = R(y,z,u). K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. T(x,T(y,x)) != z | T(x,y) = z. T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. x * y != T(z,z * u) * K(u,z) | x \ L(z,u,z) = y. x \ L(x,y,x) = K(x,x * y) * K(y,x). K(x,x * y) * K(y,x) = x \ L(x,y,x). T(x,y \ x) * K(y \ 1,x) = L(x,y \ 1,x). x * y != T(z,u) * K(z * u,z) | x \ R(z,u,z) = y. x \ R(x,y,x) = K(x,y) * K(x * y,x). K(x,y) * K(x * y,x) = x \ R(x,y,x). R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). (T(x,y) \ 1) * x = K(x \ 1,x) * K(y,x). K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. K(x * (y \ K(y,z)),x) = K(((z * y) / z) \ x,x). K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). (x * K(y,x)) \ y = x \ (y * K(x,y)). x * y = K(x,z) * (((z * x) / z) * y). K(x,y) * (((y * x) / y) * z) = x * z. x * ((x * K(y,x)) \ z) = K(x,y) * z. K(x * (1 / y),x) = K(y \ x,x). K(x * y,x) = K((y \ 1) \ x,x). K((x \ 1) \ y,y) = K(y * x,y). x * y != (z * u) * T((z * u) \ (z * w),v5) | (z * (u * T(u \ w,v5))) / y = x. (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). K(x,y) / (1 / T(y,x)) = 1 / (1 / y). K(x,y) = K(K(z \ 1,z) * x,y). K(K(x \ 1,x) * y,z) = K(y,z). K(x * (1 / y),z) = K(x * (y \ 1),z). K(((x \ 1) \ 1) * y,z) = K(x * y,z). K((x \ 1) \ y,z) = K((1 / x) \ y,z). K((1 / x) \ y,z) = K((x \ 1) \ y,z). K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). K(x \ (y \ 1),z) = K(x \ (1 / y),z). K(x \ (1 / y),z) = K(x \ (y \ 1),z). K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). x != (y / z) * ((u * ((y / z) \ 1)) / u) | x = (y * ((u * (y \ z)) / u)) / z. K(x,(y / z) \ 1) = (y * ((x * (y \ z)) / x)) / z. (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. K(x,x * (y \ 1)) = K(x,y \ x). K(x,y * K(z \ 1,z)) = K(x,y). K(x,y * ((z \ 1) \ 1)) = K(x,y * z). K(x,y * T(z,z \ 1)) = K(x,y * z). K(x,y) = K(x,K(z \ 1,z) * y). K(x,K(y \ 1,y) * z) = K(x,z). K(x,L(y,z,z \ 1)) = K(x,(z \ 1) * (z * y)). K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). K(x,T(y,y \ 1) * z) = K(x,y * z). K(x,(1 / y) * z) = K(x,(y \ 1) * z). K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). K(x,T(y * K(z,z \ 1),u)) = K(x,T(y,u)). K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). T(x * K(y,x),z) = T(x,z) * K(y,T(x,z)). T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). T(R(x,y,x),z) = T(T(x * K(x * y,x),z),y). T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). T(x * K(y \ x,x),y \ 1) = R(x,y \ 1,x). x != ((y \ z) * T(z,y \ 1)) / (y \ z) | x = R(z,z \ (y \ z),z). T(x * K(y \ x,x),y \ 1) = R(x,x \ (y \ x),x). x * y != (z * T(u,w)) / z | x \ T(u * K(z,u),w) = y. T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). K(T(x,y),z) = T(x * K(z,x),y) \ T(x,y). T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). x * (y * K(z,y)) != u | u / ((z * y) / z) = x. x \ (y * T(y \ x,x)) = K((1 / y) * x,x). x * y != T(z * y,u) | x = y \ T(y * z,u). x * K(x * y,x) = y \ T(y * x,x). x \ T(x * y,y) = y * K(y * x,y). K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). (x / y) \ z = K(y \ x,y) * ((y \ x) \ z). K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. (x * K(y,x)) \ z = K(x,y) * (x \ z). x != T(y,z) * K(y,u) | x = K(y,u) * T(y,z). K(x,y) * T(x,z) = K(x,z) * T(x,y). x * (K(y,x) * z) = ((y * x) / y) * z. ((x * y) / x) * z = y * (K(x,y) * z). x \ ((y / (y / x)) * z) = K(x \ y,x) * z. x * (1 / (1 / y)) = (K(x,y) / (1 / y)) * x. (K(x,y) / (1 / y)) * x = x * (1 / (1 / y)). x != K(y,z) * K(z,u) | x = K(z,u) * K(y,z). T(x,y) \ T(x,z) = K(x,z) * K(y,x). R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. (x \ K(x,y)) * T(x,x \ 1) = K(x,y). K(x \ y,x) * ((y / x) * z) = (x \ y) * z. K(x,x \ 1) = K(R(x,y,z),x \ 1). K(R(x,y,z),x \ 1) = K(x,x \ 1). x != K(R(y,z,u),y \ 1) | x = R(y,z,u) * (1 / R(y,z,u)). K(x,x \ 1) = R(x,y,z) * (1 / R(x,y,z)). R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). x * y != K(R(z,u,w),z \ 1) | x \ K(z,z \ 1) = y. R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). K(x,y) / (K(x,y) / y) = 1 / (1 / y). K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). x != K(y,y * (z \ 1)) | x = K(y,z \ y). K(x,x * y) = K(x,(y \ 1) \ x). K(x,(y \ 1) \ x) = K(x,x * y). x != K(y \ (z \ 1),u) | x = K(y \ (1 / z),u). K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u). K(x,(1 / x) * y) * y = x * (y / x). K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). x * y != z \ T(z * x,x) | y = K(z * x,x). K(x * y,x) = K(y * x,x). K(x * y,y) = K(y * x,y). x != K(y * z,y) | x = K((z \ 1) \ y,y). K(x * y,y) = K((x \ 1) \ y,y). K((x \ 1) \ y,y) = K(x * y,y). x != K(y * (1 / z),y) | x = K(z \ y,y). K((1 / x) * y,y) = K(x \ y,y). T((x \ 1) \ y,y) = ((x \ 1) \ y) * K(x * y,y). ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). x != y | x = (z / y) \ z. K(x,y) * T(x,z) = (u / (K(x,z) * T(x,y))) \ u. (x / (K(y,z) * T(y,u))) \ x = K(y,u) * T(y,z). K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. K(x,x \ y) * ((x \ y) * z) = (y / x) * z. K(x,y) * (y * z) = (y * K(x,y)) * z. (x * K(y,x)) * z = K(y,x) * (x * z). (x / y) * z = (y \ x) * (K(y,y \ x) * z). (x \ y) * (K(x,x \ y) * z) = (y / x) * z. (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). (x / (x / y)) * z = y * (K(y \ x,y) * z). (x * K(y,x)) * z = x * (K(y,x) * z). T(x / (x / y),z) \ y = K(x / (x / y),y \ x) * K(z,x / (x / y)). K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. (x * K(y,x)) * z != K(y,x) * (x * u) | z = L(u,x,K(y,x)). x = L(x,y,K(z,y)). L(x,y,K(z,y)) = x. L(x,T(y,z),K(z,y)) = x. R(x,K(y,x),z) = x. L(x,K(y,z),z) = x. L(x,y,z * K(u,z)) = (z * (K(u,z) * y)) \ ((z * K(u,z)) * (y * x)). (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). T(x,y) * (K(z,x) * u) = (T(x,y) * K(z,x)) * u. (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). R(x,y,z) * (K(u,x) * w) = (R(x,y,z) * K(u,x)) * w. (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. x != (y * z) \ ((y * z) / y) | x = L(y \ 1,T(y,z),z). L(x \ 1,x,y) = L(x \ 1,T(x,y),y). L(x \ 1,T(x,y),y) = L(x \ 1,x,y). T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). T(x,y) * K(x,z) != u | K(x,y) * T(x,z) = u. T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. K(x,y) * z != u | T(x,y) * (x \ z) = u. K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. K(x,y) * (((z * x) / z) * u) != w | T(x,y) * (K(z,x) * u) = w. T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. T(x,y) * z != u | x * (K(x,y) * z) = u. x != T(y,z) \ T(y,u) | x = K(z,y) * K(y,u). x \ R(x,y,x) = K(x * y,x) * K(x,y). K(x * y,x) * K(x,y) = x \ R(x,y,x). K(x,y) * K(y,y * x) = y \ L(y,x,y). x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. K(x,y) * K(y * x,x) = x \ R(x,y,x). K(x,y) * K(y,y \ x) = y \ R(y,y \ x,y). x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. K(x * y,y) * K(y,x) = y \ R(y,x,y). T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). T(K(x \ 1,y),z) != u | K(T(x,z) \ 1,y) = u. K(T(1 / x,y) \ 1,z) = T(K(x,z),y). x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. K(x,R(T(K(x,y),z),u,w)) = 1. R(x * K(y,x),z,u) = R(x,z,u) * K(y,R(x,z,u)). R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). T(1 / (K(x,y) / x),y) = 1 / (1 / x). x * (1 / (1 / y)) = (1 / (K(y,x) / y)) * x. (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). K(x,T(y,z)) * K(y \ 1,y) = (T(T(y,z),x) \ 1) * T(y,z). x != (y * ((z \ 1) \ 1)) / y | x = (((y * z) / y) \ 1) \ 1. (x \ 1) \ K(y,x) = (((y * x) / y) \ 1) \ 1. (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). x * y != (z * R(u,w,v5)) / z | x \ R(u * K(z,u),w,v5) = y. R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). K(R(x,y,z),u) = R(x * K(u,x),y,z) \ R(x,y,z). R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). x != (y * T(y \ z,u)) / z | x = K(z / y,u). K((x / y) \ 1,z) = K(y / x,z). x != K(y,z) | x = R(K(y,z),y,u). K((x / y) \ 1,z) = R(K(y / x,z),y / x,u). R(K(x / y,z),x / y,u) = K((y / x) \ 1,z). x != K(y / z,z) | x = K(z \ y,z). K((x / y) \ 1,x) = K(x \ y,x). K((x / y) \ 1,x) != z | K(x \ y,x) = z. x != K(y \ ((1 / y) \ z),y) | x = K(z,y). K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). K(x \ 1,y) = K(y \ (x \ y),y). K(x \ (y \ x),x) = K(y \ 1,x). x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y). x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). (((x * y) \ x) \ x) * K(y \ 1,x * y) = x * y. T(x,y) * z = (x * z) * K(((x * z) \ z) \ 1,y). (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. T(x,y) * T(T(x,y) \ y,z) = T(y * K((y \ x) \ 1,z),y). T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). x != (1 / y) * T((1 / y) \ z,u) | x = T(z * y,u) / y. K(((1 / x) / y) \ 1,z) * y = T(y * x,z) / x. T(x * y,z) / y = K(((1 / y) / x) \ 1,z) * x. x * y != K((z / u) \ 1,w) * u | x \ (z * T(z \ u,w)) = y. x \ (y * T(y \ x,x)) = K((y / x) \ 1,x). K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). x != K(y,z) * K(y \ 1,y) | x = (y \ 1) * T(y,z). (x \ K(x,y)) * x = (x \ 1) * T(x,y). T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). T(1 / ((x * y) \ x),z) = T(T(1 / ((x * y) \ x),z),y). T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). x * y != z * ((u \ z) / z) | (u \ T(z,u \ 1)) / y = x. (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). x != K(y \ 1,y) * K(z,y) | x = (y \ 1) * (y * K(z,y)). (T(x,y) \ 1) * x = (x \ 1) * (x * K(y,x)). (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). K(x,(y * (z / (u \ 1))) \ w) = K(x,(y * (z / (1 / u))) \ w). K(x,(y * (z / (1 / u))) \ w) = K(x,(y * (z / (u \ 1))) \ w). K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). T(x,y) \ T(x * K(z,x),y) != u | u = K(z,T(x,y)). T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). (x * y) * ((y * x) \ x) = T(x,y). T(x,y) = (x * y) * ((y * x) \ x). x * y != (z * u) * ((u * z) \ z) | x \ T(z,u) = y. x \ T(y,y \ x) = ((y \ x) * y) \ y. ((x \ y) * x) \ x = y \ T(x,x \ y). R(x,y,z) * u != K(x,x \ 1) | u = (1 / x) * (R(x,y,z) \ x). 1 / R(x,y,z) = (1 / x) * (R(x,y,z) \ x). (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). (1 / R(x,y,z)) * x = (R(x,y,z) \ 1) * ((x \ 1) \ 1). (R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * x. x \ ((y / (y / x)) * z) = K(y / x,(y / x) \ y) * z. K(x / y,(x / y) \ x) * z = y \ ((x / (x / y)) * z). (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(y,z),u) \ 1). R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). T(K(x,y),z) = K(z,K(y,x)) * K(x,y). K(x,K(y,z)) * K(z,y) = T(K(z,y),x). K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. K(x,K(y,z)) != u | K(K(z,y),x) = u. x / K(y,z) = T(K(y,z) \ x,K(z,y)). T(K(x,y) \ z,K(y,x)) = z / K(x,y). x != T(y,z) * K(z,T(y,z)) | x = y. T(T(x,K(y,z)),K(z,y)) = x. T(x,K(y,z)) * K(z,y) = K(z,y) * x. T(K(x,y),K(z,y)) = K(x,y). T(K(x,y),K(x,z)) = K(x,y). x * y != T(K(z,u),K(w,u)) | x \ K(z,u) = y. K(x,y) \ K(z,x) = K(z,x) * K(y,x). K(x,y) * K(z,y) = K(z,y) * K(x,y). K(x,y) * K(x,z) = K(x,z) * K(x,y). x * K(y,(x \ z) \ 1) = K(y,x / z) * x. x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). x * y != y * (1 / (1 / z)) | x = K(y,z) / (1 / z). 1 / (K(x,y) / x) = K(y,x) / (1 / x). K(x,y) / (1 / y) = 1 / (K(y,x) / y). ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). x != y \ (z * T(z \ y,y)) | x = K((1 / z) * y,y). K((x / y) \ 1,y) = K((1 / x) * y,y). x != K((1 / y) * z,z) | x = K(y \ z,z). K((x / y) \ 1,y) = K(x \ y,y). x != K((y / z) \ 1,u) | x = K(z / y,u). K(x \ y,y) = K(y / x,y). K(x / y,x) = K(y \ x,x). K(x,y) = K((x \ y) \ y,y). K((x \ y) \ y,y) = K(x,y). x * ((T(x,y) \ 1) * x) = L(x * K(y,x),x \ 1,x). L(x * K(y,x),x \ 1,x) = x * ((T(x,y) \ 1) * x). (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). x != (1 / y) \ (1 / R(y,z,u)) | x = (y \ R(y,z,u)) \ 1. R(x,y,z) \ x = (x \ R(x,y,z)) \ 1. (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. x != (1 / y) \ (1 / R(y,z,u)) | x = (y \ 1) \ (R(y,z,u) \ 1). R(x,y,z) \ x = (x \ 1) \ (R(x,y,z) \ 1). (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). R(x,y,z) \ R(x,y,z) = K(x \ R(x,u,w),R(x,y,z)). K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). R(x,y,z) \ R(x,y,z) = K(R(x,y,z),x \ R(x,u,w)). K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). L(K(x,y) * K(z,y),K(y,z),K(y,x)) = (K(y,x) * K(y,z)) \ 1. ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. K(x \ R(x,y,z),x) = (x \ K(x,R(x \ 1,u,w))) * x. T(x,x \ y) != z | (x \ y) \ y = z. R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. T(x,T(1 / y,z) \ x) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). ((x * y) / x) * z != u | y * (K(x,y) * z) = u. x \ K(x * y,x \ 1) = y / (y / (x \ 1)). (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). x * y != L(K(z,u \ 1),w,v5) | x \ K(z,L(u,w,v5) \ 1) = y. L(x,y,z) \ K(x,L(x,y,z) \ 1) = (1 / x) * (L(x,y,z) \ x). (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). x != y * (T(y,z) \ K(u,y)) | x = K(u,y) * K(z,y). T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. x != R(y * T(y \ 1,y),z,u) | x = a(1 / R(y,z,u),y,y \ 1). K(R(x,y,z) \ 1,x) = a(1 / R(x,y,z),x,x \ 1). a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). R(K(x,y),z,u) = K(R(x \ 1,z,u) \ 1,y). K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). R(K(x,y),z,u) \ 1 = K(y,R(1 / x,z,u) \ 1). K(x,R(1 / y,z,u) \ 1) = R(K(y,x),z,u) \ 1. R(K(x,y),z,u) \ w = K(y,R(x \ 1,z,u) \ 1) * w. K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. x != y * ((z \ u) * T((z \ u) \ (y \ u),w)) | x = (y * T(y \ z,w)) * (z \ u). K((x * (y \ 1)) \ 1,z) = (x * T(x \ y,z)) * (y \ 1). (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y). x != K(y / z,u) | x = K((z / y) \ 1,u). (T(x,y) / z) / (x / z) = K(((z \ 1) / (x / z)) \ 1,y). K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). T(x * y,y \ 1) = ((x * y) \ x) \ x. T(x * y,y \ 1) = L(y \ 1,y,x) \ x. L(x \ 1,x,y) \ y = T(y * x,x \ 1). x / T(x * y,y \ 1) = L(y \ 1,y,x). T(x,x \ T(x * y,y \ 1)) = T(x,L(y \ 1,y,x) \ 1). x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). T(x,y) / z = K(((1 / z) / (x / z)) \ 1,y) * (x / z). K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. K(x,T(K(y \ z,y),u)) = K(x,T((z \ 1) * ((y \ z) * y),u)). K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. K(x \ 1,y * x) = K(x \ 1,(x \ 1) \ y). K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). x != K(y * (1 / z),u) | x = K(y * (z \ 1),u). K(x \ y,x) = K(y * (x \ 1),x). K(x * (y \ 1),y) = K(y \ x,y). x != K((y * z) * (y \ 1),y) | x = K(R(z,y,y \ 1),y). K(x \ (x * y),x) = K(R(y,x,x \ 1),x). K(R(x,y,y \ 1),y) = K(y \ (y * x),y). K(R(x,y,y \ 1),y) = K(x,y). x != K(y \ 1,(y \ 1) \ z) | x = K(y \ 1,y * z). K(x \ 1,y * x) = K(x \ 1,x * y). x * T(x \ 1,y * x) = K(x \ 1,x * y). x != K((y \ 1) \ z,u) | x = K((1 / y) \ z,u). K(x * y,y \ 1) = K((1 / y) \ x,y \ 1). K((1 / x) \ y,x \ 1) = K(y * x,x \ 1). x * y != K(x \ 1,z) | y = T(x \ 1,z). T(x \ 1,y * x) = T(x \ 1,x * y). x != T(y \ 1,y * z) | x = ((y \ 1) \ z) \ z. T(x \ 1,y * x) = ((x \ 1) \ y) \ y. T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. x != K(y / z,y) | x = K(z \ y,y). (x / (x / y)) \ L(y,y \ x,y) = K((x / y) \ x,x). x != (y * (1 / (1 / z))) / y | x = K(y,z) / (1 / z). L(x * K(y,x),x \ 1,x) = K(y,x) / (1 / x). L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. x != L(y,K(z,u),L(z,w,v5)) | x = y. (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). x != T(y * K(z \ y,y),z \ 1) | x = R(y,z \ 1,y). R(x,x \ (y \ x),x) = R(x,y \ 1,x). L(x,y,z) * u != L(x * K(w \ 1,w),y,z) | u = K(w \ 1,w). K(x \ 1,L(x,y,z)) = K(x \ 1,x). x != K(y \ 1,y) | x = K(L(y,z,u) \ 1,y). K(x \ 1,L(x,y,z)) = K(L(x,u,w) \ 1,x). K(L(x,y,z) \ 1,x) = K(x \ 1,L(x,u,w)). L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x). x != L(y * K(z,y),y \ 1,y) | x = K(z,y) / (1 / y). x * ((T(x,y) \ 1) * x) = K(y,x) / (1 / x). x * y != K(z,u) / (1 / u) | x \ (1 / (K(u,z) / u)) = y. x \ (1 / (K(x,y) / x)) = (T(x,y) \ 1) * x. x \ (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. T(x,y) \ (1 / (1 / T((z * x) / z,y))) = (T(T(x,y),z) \ 1) * T(x,y). K(x,L(y,x,x \ 1)) * (y * x) = x * y. K(x,y) = K(x,L(y,x,x \ 1)). K(x,L(y,x,x \ 1)) = K(x,y). T(1 / L(x,y,z),x) = L(x,y,z) \ 1. (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). (x / (x / y)) \ L(y,y \ x,y) = K(y,x). K(x,y) = (y / (y / x)) \ L(x,x \ y,x). K(L(x,y,z) \ 1,L(x,y,z)) = K(L(x,y,z) \ 1,x). x != K(L(y,z,u) \ 1,y) | x = K(y \ 1,L(y,w,v5)). K(L(x,y,z) \ 1,L(x,y,z)) = K(x \ 1,L(x,u,w)). K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). x != 1 / T((y * z) \ y,z) | x = ((y * z) \ y) \ 1. K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. x != ((y * K(z,y)) \ 1) \ 1 | x = (y \ 1) \ K(z,y). T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). x * y != (z * K(u \ 1,w)) * u | ((z * u) * K(u \ 1,w)) / y = x. ((x * y) * K(y \ 1,z)) / (K(y \ 1,z) * y) = R(x,K(y \ 1,z),y). x != T(y,y * z) * L(T(z,y),u,w) | x = L(z,u,w) * T(y,y * z). K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). x != T(y,y * z) * R(T(z,y),u,w) | x = R(z,u,w) * T(y,y * z). K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). K(x,y \ 1) = K(x,R(y,x,z) \ 1). K(x,R(y,x,z) \ 1) = K(x,y \ 1). x != R(K(y,y \ 1),z,u) | x = K(y,y \ 1). K(x,R(x,y,z) \ 1) = K(x,x \ 1). R(K(x,y),z,u) = K(x,R(y \ 1,z,u) \ 1). K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). K(x \ R(x,y,z),x) = (x \ K(x,R(x,u,w) \ 1)) * x. x != K(y,R(1 / z,u,w) \ 1) | x = R(K(z,y),u,w) \ 1. R(K(x,y),z,u) = R(K(y,x),z,u) \ 1. R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). x * ((K(y,z) * x) \ 1) = R(K(z,y),x,(K(y,z) * x) \ 1). R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). (R(K(x,y),z,u) \ K(R(K(x,y),z,u) * w,R(K(y,x),z,u))) \ w = w / (R(K(x,y),z,u) \ 1). T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). K(x,y * (z \ 1)) = R(K(x,y / z),y,z \ 1). R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). K(x,y) = R(K(x,y),T(y,z),u). R(K(x,y),T(y,z),u) = K(x,y). x * y != R(K(z,u),T(u,w),v5) | x \ K(z,u) = y. (K(x,y) * T(y,z)) \ K(x,y) = T(y,z) \ 1. K(x,y) * (T(y,z) * u) = (K(x,y) * T(y,z)) * u. (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). K(x,R(y,T(z,y),u)) = R(K(x,y),z * y,u). R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). K(x,R(R(y,z,u),z * u,w)) = R(K(x,R(y,z,u)),(y * z) * u,w). R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),K(z,y) * u,w). R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). K(x * y,x) = K(x * y,R(x,y,z)). K(x * y,R(x,y,z)) = K(x * y,x). x != R(K(y \ 1,z),u,w) | x = K(R(y,u,w) \ 1,z). K(x \ 1,R(y,z,u)) = K(R(x,y * z,u) \ 1,y). K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). R(x,y,x) \ K(x * y,x) = T(x,y) \ 1. K(x,(y / z) \ x) = K(x,(x * z) / y). K(x,(x * y) / z) = K(x,(z / y) \ x). K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. K(x,(x / L(y,z,u)) * y) = K(x,(L(y,z,u) / y) \ x). K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). L(x,T(y,z),K(u,y)) = x. K(x,(((y * z) * u) / ((x * z) * u)) \ 1) = K(x,R(y / x,x * z,u) \ 1). K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1). R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1). K((x \ K(x,y)) * z,u) = K((K(x,y) / x) * z,u). K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). x \ (((y \ (x / z)) * y) * z) = K((x \ (y / (z \ 1))) \ 1,y). K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). K(x * y,T(x,z)) = K(y * x,T(x,z)). K(x * y,T(y,z)) = K(y * x,T(y,z)). x * y != z \ ((u / (u / z)) * y) | x = K(z \ u,z). K(x / y,(x / y) \ x) = K(y \ x,y). K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. x != y \ y | x = 1. K(R(x,y,z),x \ R(x,u,w)) = 1. x != (y \ K(y,z)) * y | x = (y \ 1) * T(y,z). K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x \ 1,u,w)). R(K(x,y),z,u) * w = R(K(y,x),z,u) \ w. R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. ((x \ 1) * y) / ((x \ K(x,z)) * y) = R(K(z,x),x \ 1,y). x != (y * T(y \ z,z)) * (z \ 1) | x = K(y \ z,z). K((x * (y \ 1)) \ 1,y) = K(x \ y,y). (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). (1 / x) * (y \ T(y * x,z)) = K(((1 / x) * (y \ 1)) \ 1,z). K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). x * y != K((z * (u \ 1)) \ 1,u) | K(z \ u,u) / y = x. K(x \ y,y) / (y \ T(y * (x \ 1),y)) = x. x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). x != y / (z * ((u \ (z \ y)) * u)) | x = K(u,y / (u * z)). K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). (T(x,y) / z) / (x / z) = K(((1 / z) / (x / z)) \ 1,y). K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). K(x,y \ K(y,z)) * z = z * K(x,y \ 1). x * y != (1 / ((z * u) \ z)) * K(u,u \ 1) | (((z * u) \ z) \ 1) / y = x. (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x,u,w) \ 1). R(K(x,y),K(x,y) * z,u) = R(K(x,y),z,u). R(K(x,y),y \ 1,z) = R(K(x,y),y \ K(y,x),z). R(K(x,y),y \ K(y,x),z) = R(K(x,y),y \ 1,z). ((((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z)) * (x \ 1)) * z = (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z). (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = ((((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z)) * (x \ 1)) * z. K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). R(x,y,z) * (K(u,x) * w) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5. (x \ 1) * y != K(x \ R(x,z,u),x) | y = T(x,R(x \ 1,w,v5)). T(x,R(x,y,z) \ 1) = T(x,R(x \ 1,u,w)). T(x,R(x \ 1,y,z)) = T(x,R(x,u,w) \ 1). x != T(y,R(z \ 1,z,y)) | x = T(y,z \ 1). T(x,R(x,y,z) \ 1) = T(x,x \ 1). (R(x,y,z) \ 1) * T(x,x \ 1) = R(x,y,z) \ x. R(x,y,z) \ x = (R(x,y,z) \ 1) * ((x \ 1) \ 1). (R(x,y,z) \ 1) * ((x \ 1) \ 1) = R(x,y,z) \ x. x != (R(y,z,u) \ 1) * ((y \ 1) \ 1) | x = (1 / R(y,z,u)) * y. R(x,y,z) \ x = (1 / R(x,y,z)) * x. (1 / R(x,y,z)) * x = R(x,y,z) \ x. x * y != R(x,z,u) \ x | T(1 / R(x,z,u),x) = y. T(1 / R(x,y,z),x) = R(x,y,z) \ 1. x != (1 / R(y,z,u)) * y | x = y / R(y,z,u). R(x,y,z) \ x = x / R(x,y,z). x / R(x,y,z) = R(x,y,z) \ x. (x / R(x,y,z)) * u = (R(x,y,z) \ x) * u. (R(x,y,z) \ x) * R(x,y,z) = x. R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). x != T(y,z) / R(y,u,w) | x = (K(y,z) / R(y,u,w)) * y. R(x,y,z) \ T(x,u) = (K(x,u) / R(x,y,z)) * x. (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). x != L(T(y \ z,u) \ 1,y \ z,y) | x = T(y \ z,u) \ T((y \ z) * (z \ y),u). x \ (y * K(z,y \ x)) = T(y \ x,z) \ T((y \ x) * (x \ y),z). T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. x != R(K(y,z),u,w) \ v5 | x = R(K(z,y),u,w) * v5. (x / y) * z = R(K(y,x),x / y,z) * ((x / T(y,x)) * z). R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. x != L(y,z,u) \ K(y,L(y,w,v5) \ 1) | x = 1 / L(y,z,u). (L(x,y,z) \ x) / x = 1 / L(x,y,z). (1 / L(x,y,z)) * x = L(x,y,z) \ x. x != (1 / L(y,z,u)) * y | x = y / L(y,z,u). L(x,y,z) \ x = x / L(x,y,z). x / L(x,y,z) = L(x,y,z) \ x. (L(x,y,z) \ x) \ x = L(x,y,z). L(1,x,y) = K(L(z,x,y) \ 1,(z \ 1) * L((z \ 1) \ 1,u,w)). K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). L(K(K(x,y),z),u,w) = K(L(K(y,x),u,w) \ 1,z). K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). L(T(K(x,y),z),u,w) = K(L(T(1 / x,z),u,w) \ 1,y). K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). x / (L(K(y,z),u,w) * x) = L(K(z,y),u,w). L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. x / (L(K(y,z),u,w) * x) != v5 | v5 = L(K(z,y),u,w). x / (L(K(y,z),u,w) * x) != v5 | L(K(z,y),u,w) = v5. L(K(x,y),z,u) * w != v5 | w = L(K(y,x),z,u) * v5. L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. T(L(x,x \ y,x),z) = L(T(x,z),x \ T(y,x),x). L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). R(L(T(x,y),x \ z,x),u,w) = L(R(T(x,y),u,w),x \ T(z,x),x). L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). R(K(x \ (y / z),x),y / z,z) = K(((x * z) / y) \ 1,x). x / T(x * ((x / y) / x),y) = L(((x / y) / x) \ 1,(x / y) / x,x). L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). T(x,y) \ K(z,x) = (K(x,z) * T(x,y)) \ 1. (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). R(K(x \ (y / z),x),y / z,z) != u | K(y / (x * z),x) = u. T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. ((x * y) / R(x,y,x)) * x = (y * x) * K(R(x,y,x),y * x). (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. x / (((x \ 1) \ 1) * y) = (1 / (1 / x)) / (x * y). (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). x != T(y,z) * (y \ K(y,u)) | x = K(y,u) * K(y,z). (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). (x * (K(y,z) * u)) / (x * u) = K((x * u) / (x * (y \ u)),z). K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. (1 / x) * (K(x,y) * z) = K(x,y) * ((1 / x) * z). K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). x * y != (1 / z) * (K(z,u) * w) | x \ (K(z,u) * ((1 / z) * w)) = y. (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). x * y != K(z,u) * T(u,z) | x \ u = y. (x \ 1) \ y = K(x,y) * ((x \ 1) \ T(y,x)). K(x,y) * ((x \ 1) \ T(y,x)) = (x \ 1) \ y. (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). K(T(x,y),y) * ((T(x,y) \ 1) \ T(y,x)) = (T(x,y) \ 1) \ y. x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). ((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x). ((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z) = K(y,x). T(x,y) * ((x \ 1) * z) = L(K(x,y) * z,x \ 1,x). L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). L(x,y \ 1,y) = T(y,z) * ((y \ 1) * (K(z,y) * x)). T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). K(x,y) * (T(z,u) * K(y,x)) = T(K(x,y) * (z * K(y,x)),u). T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). x != y \ (((z \ (y / u)) * z) * u) | x = K((y \ (z * u)) \ 1,z). K((x \ (y / (z \ 1))) \ 1,y) = K((x \ (y * z)) \ 1,y). K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). x != K((y * (z \ 1)) \ 1,u) | x = (y * T(y \ z,u)) * (z \ 1). (1 / x) * (y \ T(y * x,z)) = ((1 / x) * T((1 / x) \ y,z)) * (y \ 1). ((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)). (x * y) * K(T(y,x),x * y) = ((y * x) / R(y,x,y)) * y. ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). x != (y * z) * K(T(z,y),y * z) | x = T(z,y * z) * T(y,z). ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). (x / R(y,y \ x,y)) * y = T(y,(y \ x) * y) * T(y \ x,y). T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. ((x \ K(x,y)) * T(x,z)) \ 1 = (K(x,y) * K(x,z)) \ K(x,x \ 1). (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. K(x,y) * ((T(x,y) \ 1) \ T(y,x)) = (T(x,y) \ 1) \ y. T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. (K(x,y) * T(z,u)) * K(y,x) = T((K(x,y) * z) * K(y,x),u). T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. (x * K(y,z)) \ (x * (z * K(y,z))) = z. x != y * (z * K(u,z)) | x = y * ((u * z) / u). (x * y) * K(z,y) = x * ((z * y) / z). L(K(x,y),x,z) != u | K(x,y) = u. x != K((y \ z) \ 1,y \ z) | x = K(z \ y,y \ z). K((x \ y) \ 1,(y \ x) \ 1) = K(y \ x,x \ y). x != K(y,(z \ u) \ 1) | x = T(K(y,z / u),z). K(x,y \ z) = T(K(x,z / y),z). T(K(x,y / z),y) = K(x,z \ y). K(x,a(y,z,u) \ 1) = K(x,((y * z) * u) \ (y * (z * u))). K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). K(x,((y \ 1) * z) \ 1) = K(x,L(z,y \ 1,y) \ y). K(x,L(y,z \ 1,z) \ z) = K(x,((z \ 1) * y) \ 1). K(x,a(y,z,z \ 1) \ 1) = K(x,R(y,z,z \ 1) \ y). K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). K(x,(y \ K(z,u)) \ 1) = K(x,K(u,z) * y). K(x,y \ z) * K(x * ((z \ y) \ 1),x) = x \ R(x,(z \ y) \ 1,x). R(K(x,y \ z),u,w) = K(x,R(z \ y,u,w) \ 1). K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). ((x / T(y,z)) * y) \ x = K(y,z). (x * y) * K(y,z) != u | u = x * T(y,z). (x * y) * K(y,z) != u | x * T(y,z) = u. (x * (y / x)) \ (K(x,x \ y) * T(y,z)) = K(y,z). (x / y) \ (x * K(y,z)) = T(y,z). R(x,y,K(y,z)) = x. R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). (x * y) * K(y * x,z) = K(x,y) * T(y * x,z). K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). (x * T(y,z)) * z = (x * y) * (z * K(y,z)). (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. x != ((y / T(z,u)) / z) * T(z,u) | x = y / z. (x / T(y,z)) * K(y,z) = x / y. (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). (x * K(y,z)) / z = x / T(z,y). (((x * y) * T(z,u)) * K(u,z)) / (y * z) = R(R(x,y,T(z,u)),y * T(z,u),K(u,z)). R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). x * K(y,z) != u | u * K(z,y) = x. ((x * K(y,z)) \ x) \ u = K(y,z) * u. (x \ R(x,y,x)) \ K(x * y,x) = K(y,x). L(L(K(x,y),z,u),K(y,x),w) = L(K(x,y),z,u). (x * (y * K(z,u \ 1))) \ (x * y) = K(L(u,y,x) \ 1,z). K(x,y) * z != u | T(u * K(y,x),K(x,y)) = z. T(x * K(y,z),K(z,y)) = K(y,z) * x. x * K(y,z) != K(y,z) * u | x = T(u,K(z,y)). (K(x,y) * z) * K(y,x) = T(z,K(y,x)). x * K(y,z) != y \ K(y,z) | x = y \ 1. (x \ K(x,y)) * K(y,x) = x \ 1. x * K(y,z) != K(y,z) * K(z,u) | x = K(z,u). (K(x,y) * K(y,z)) * K(y,x) = K(y,z). x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). R(x * K(y,z),K(z,y),u) \ (x * u) = K(z,y) * u. x * y = (x * K(y,z)) * (y * K(z,y)). (x * K(y,z)) * (y * K(z,y)) = x * y. R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). x * y != K(((z * u) \ z) \ 1,w) | x \ K(u,w) = y. ((x * y) \ x) \ K(y,z) = T(((x * y) \ x) \ 1,z). T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). T(x * K(y,z),y) = y \ (x * T(y,z)). x \ (y * T(x,z)) = T(y * K(x,z),x). x * T(y * K(x,z),x) = y * T(x,z). (x * K(y,z)) * y != u | u = x * T(y,z). (x * K(y,z)) * y != u | x * T(y,z) = u. x / T(y,z) = (x / y) * K(z,y). (x / y) * K(z,y) = x / T(y,z). x * y != (z / u) * T(u,w) | x \ (z * K(u,w)) = y. ((x / y) * K(y,z)) \ (x * K(y,z)) = y. a(x,y * K(z,u),z) = (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z). (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). (T(x,y) \ 1) * y = (x \ 1) * T(y,x). K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). (x * (y * K(z,y))) * z = (x * y) * T(z,y). x * y = (x * K(z,y)) * T(y,z). (x * K(y,z)) * T(z,y) = x * z. L(T(x,y),K(x,z),u) = T(x,y). (x \ (x * y)) * x = L(y * x,K(x * y,z),u). L(x * y,K(y * x,z),u) = (y \ (y * x)) * y. L(T(x,y),z,u) = L(L(T(x,y),z,u),K(x,w),v5). L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). T(x / T(y,z),y) = y \ (x * K(z,y)). x \ (y * K(z,x)) = T(y / T(x,z),x). T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). x != K((y \ (z / u)) \ 1,z) | x = y \ (((z \ (y * u)) * z) / u). K((x / y) \ z,x) = z \ (((x \ (z * y)) * x) / y). x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). x != K((y \ z) \ 1,u) | x = T(K(y / z,u),y). K(x \ y,z) = T(K(y / x,z),y). T(K(x / y,z),x) = K(y \ x,z). x != K((y \ (z / (u \ 1))) \ 1,z) | x = K((y \ (z * u)) \ 1,z). K((x / (y \ 1)) \ z,x) = K((z \ (x * y)) \ 1,x). K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). K(T(x,y) \ 1,z) = K((x * y) \ y,z). T(x,(y \ z) \ x) * K(z \ y,x) = L(x,(y \ z) \ 1,x). (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). T(x * K(y \ x,z),x) = T(y,x) * T(T(y,x) \ x,z). T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). x * K(y,x \ z) = z / T(x \ z,y). x / T(y \ x,z) = y * K(z,y \ x). x != y / T(z,y) | x = T(y,z) / z. (x / y) * K(x,y) = T(x,y) / y. x * y != (z / u) * K(w,u) | x \ (z / T(u,w)) = y. x \ (y / T(y / x,z)) = K(x \ y,x) * K(z,y / x). K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). (x \ T(y,x)) \ (x \ y) = K(x,y). K(x,y) = (x \ T(y,x)) \ (x \ y). (x * K(y,z)) \ (x * z) = T(z,y). x * K(y \ x,z) = K(x / y,z) * x. K(x / y,z) * x = x * K(y \ x,z). x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. (x / y) * K(z,y) != u | u = x / T(y,z). (x / y) * K(z,y) != u | x / T(y,z) = u. R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. L(T(x,K(y,x)),K(y,x),z) = x. L(x,K(y,x),z) = x. (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). (x * ((y * z) / y)) * K(z,y) = x * z. (x * ((y * z) / y)) * y = (x * z) * T(y,z). x \ (y \ ((z \ (y * x)) * z)) = K((y \ z) \ x,z). (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). (x * K(y \ x,z)) * (y \ 1) = T(x * (y \ 1),z). T(K(x,y) * z,K(x,y)) = z * K(x,y). T(K(x,y) * z,K(x,y)) != u | u = z * K(x,y). T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). (x * y) / ((z * y) / z) = x * K(y,z). x / (y * K(z,y)) = (x / y) * K(y,z). (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). x != K(T(y \ 1,z) \ 1,u) | x = T(K(y,u),z). K(((x \ 1) * y) \ y,z) = T(K(x,z),y). T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. T(x,L(y \ 1,y,z) \ 1) = T(x,z \ (z * y)). T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. x * L(y,z,u) != L(y,z,u) * K(w,y) | x = K(w,y). K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). (x \ T(x * y,x)) \ (y * K(z,K(x * y,x))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). x * K(y,z) = (x / ((z * y) / z)) * y. (x / ((y * z) / y)) * z = x * K(z,y). T(x * K(y,z),u) = T(T(K(y,z) * x,u),K(y,z)). T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u). T(x * K(y,z),K(z,y)) != u | u = K(y,z) * x. T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. x != (y * z) / ((u * z) / u) | x = (y / (z * K(u,z))) * z. x * K(y,z) = (x / (y * K(z,y))) * y. (x / (y * K(z,y))) * y = x * K(y,z). x != ((y / z) * z) / u | x = y / u. (x / y) * K(y,z) = x / ((z * y) / z). x / ((y * z) / y) = (x / z) * K(z,y). x / (y / z) = (x / (z \ y)) * K(z \ y,z). (x / (y \ z)) * K(y \ z,y) = x / (z / y). (x / (y / (y / z))) * z = x * K(z,z \ y). (x / ((y * z) / y)) * K(y,z) = x / z. (x / (y / z)) * K(z,z \ y) = x / (z \ y). x \ (R(x,y,x) * T(R(x,y,x) \ (x * K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). (x * ((y * z) / y)) * y != u | (x * z) * T(y,z) = u. x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. T(K(x,y / z),y) != u | K(x,z \ y) = u. T(x,T(y,z) \ 1) != u | T(x,(y * z) \ z) = u. K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. x * y != (z * (u * K(w,u))) * w | ((z * u) * T(w,u)) / y = x. ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). x != (y \ z) \ T((y \ z) * y,u) | x = T(z,u) / (y \ z). x * K(((x \ y) \ 1) \ x,z) = T(y,z) / (x \ y). T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). K(x * y,x) = K((1 / x) \ y,x). K((1 / x) \ y,x) = K(x * y,x). x != (K(y * z,u) * z) * T(y,z) | x = (y * z) * R(K(y * z,u),z,T(y,z)). (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). (x / T(y / (y / z),u)) * z = (x * K(u,y / (y / z))) * K(z,z \ y). (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. L(x * y,K(y * x,z),u) = x * y. (x * K(y * z,u)) * (z * y) = x * (K(y * z,u) * (z * y)). (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. K((x \ y) \ 1,z) != u | K(y \ x,z) = u. T(K(x / y,z),x) != u | K(y \ x,z) = u. K(x / y,x) != z | K(y \ x,x) = z. T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. T(x,L(y \ 1,y,z) \ 1) = T(x,y). x != T(y,L(z \ 1,z,y) \ 1) | x = T(y,y \ T(y * z,z \ 1)). T(x,y) = T(x,x \ T(x * y,y \ 1)). T(x,x \ T(x * y,y \ 1)) = T(x,y). T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,y). T(x * T(y,z),K(z,y)) != u | K(y,z) * (x * y) = u. K(x,((1 / y) * z) \ 1) = L(K(x,z \ y),y,y \ 1). L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). x != T(K(y,z),z * u) | x = T(K(y,z),u * z). K(x,T(y,z)) = T(K(x,y),z * y). T(K(x,y),z * y) = K(x,T(y,z)). (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). T(K(x,y),z) = K(x,T(y,z / y)). K(x,T(y,z / y)) = T(K(x,y),z). x != K(y,y \ z) * ((y \ z) * u) | x = (z / y) * u. ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. x != (y * z) * K(z * y,u) | x = K(z * y,u) * (y * z). K(x,y) * T(y * x,z) = K(y * x,z) * (x * y). K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). K((x * y) \ z,x) = K((x / (y \ 1)) \ z,x). K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))) = L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)). L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))). x * (y \ R(y,x,y)) = T(y * x,y) / y. R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). R(x,K(y,z),T(z,u)) = x. x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). T(x / y,(x / y) \ T(x,y \ 1)) = y \ x. T(x,y \ 1) / (y \ x) = (x / y) \ T(x,y \ 1). x != y \ (z \ ((u \ (z * y)) * u)) | x = K((z \ u) \ y,u). K((x / y) \ z,x) = K((y \ x) \ z,x). (x \ y) * K((x \ 1) \ (x \ y),z) != u | u = x \ T(y,z). (x \ y) * K((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. T(x,(y \ 1) \ 1) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). K(x,y \ x) = K(x,(z * y) \ (z * x)). K(x,(y * z) \ (y * x)) = K(x,z \ x). L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). K(x,y \ (z * x)) = K(x,(z \ y) \ x). K(x,(y \ z) \ x) = K(x,z \ (y * x)). T(x,(y * z) \ (y * x)) = x * K(x,z \ x). K(x,y \ (K(z,u) * x)) = K(x,(K(u,z) * y) \ x). K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). x != K(y,(z \ L(z,u,w)) \ y) | x = K(y,(y / L(z,u,w)) * z). K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). x != L(y,z,K(z,u)) | x = y. K(x,L(y \ z,y,K(z,u))) = K(x,y \ z). L(K(x,y \ z),z,y \ 1) = K(x,(1 / y) * z). K(x,(K(y,z) * u) \ T(y,z)) = K(x,u \ y). T(x,(y * z) \ (y * x)) = T(x,z \ x). T(x,y \ (z * x)) = T(x,(z \ y) \ x). T(x,(y \ z) \ x) = T(x,z \ (y * x)). L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). K(x,L(y,z * K(y,u),w)) = L(K(x,y),z * T(y,u),w). L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)). K(x \ y,y \ x) = K(x \ y,L(y \ x,z,u)). K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). x != K(y,(1 / z) * u) | x = K(y,(z \ 1) * u). L(K(x,y \ z),z,y \ 1) = K(x,(y \ 1) * z). K(x \ (y \ 1),y * x) = K(x \ (y \ 1),(y \ 1) \ x). K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. (x * K(y,z)) \ (x * T(y,u)) = K(z,y) * T(y,u). x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). x / T(1 / y,z) = (x / T(y \ 1,z)) * K(y \ 1,y). (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). x / L(y,z,y) = (x / T(y,y * z)) * K(y,z). (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). x / R(y,z,y) = (x / T(y,z)) * K(y,y * z). (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). (x / R(y,z,y)) * y = (x / T(y,z)) * T(y,y * z). (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. x != K(y \ ((z \ 1) * z),u) | x = K(y \ 1,u). L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). K(x \ (y * z),(y \ u) \ z) = K((y \ x) \ z,u \ (y * z)). K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). K(x \ (y * z),z) = K((y \ x) \ z,z). K((x \ y) \ z,z) = K(y \ (x * z),z). K(x \ y,y \ x) = K((1 / x) * y,y \ x). K((1 / x) * y,y \ x) = K(x \ y,y \ x). K(x * y,y \ (x \ 1)) = K((x \ 1) \ y,y \ (x \ 1)). K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. x != K(y,((1 / z) * u) \ w) | x = K(y,((z \ 1) * u) \ w). L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. x != (y / T(z,u)) * T(z,w) | x = (y * K(u,z)) * K(z,w). (x / R(y,z,y)) * y = (x * K(z,y)) * K(y,y * z). (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). K(L(x \ y,x,z),u) != w | L(K(x \ y,u),y,z) = w. L(K(x,y),z,z \ 1) = K(x,((z \ 1) * (z / y)) \ 1). K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1). K((x * y) \ (x * z),u) != w | L(K(y \ z,u),z,x) = w. K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). x / L(K(y,z),u,w) = x * L(K(z,y),u,w). x * L(K(y,z),u,w) != v5 | x = v5 * L(K(z,y),u,w). x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. x / L(L(K(y,z),u,w),K(z,y),v5) = x * L(K(z,y),u,w). x * y != (x * (y * K(z,u))) * w | L(K(u,z),y,x) = w. (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. x * y != T(z,u) * T(T(z,u) \ u,w) | x \ T(u * K(z \ u,w),u) = y. x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). x \ T(x * K(y,z),x) = K(T(x / y,x) \ x,z). K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). R(x,K(y,z),R(z,u,w)) = x. x != R((y / z) * K(u,w),K(w,u),z) | x = y / (K(w,u) * z). (x / R(y,z,u)) * K(y,w) = x / (K(w,y) * R(y,z,u)). x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). R(x,K(y,z),L(z,u,w)) = x. (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (y \ z)) \ u). (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). K(x,y * (L(y,z,u) \ x)) = K(x,(x / L(y,z,u)) * y). K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). (x / T(1 / y,z)) \ 1 = (x / T(y \ 1,z)) \ K(y,y \ 1). (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. x * y != K((z \ 1) \ u,u \ (z \ 1)) | x \ K(z * u,u \ (z \ 1)) = y. ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). K(L(x,y,z) \ 1,u) != w | L(K(x \ 1,u),y,z) = w. L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. T(x,y \ (z * x)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. x != y / L(z,u,y / (u * z)) | x = (y / (u * z)) * u. x * L(K(y,z),u,w) = (x / (K(y,z) * L(K(z,y),u,w))) * K(y,z). (x / (K(y,z) * L(K(z,y),u,w))) * K(y,z) = x * L(K(y,z),u,w). T(K(x,y) * z,u) \ T(z,u) = K(y,T(x \ z,u) \ T(z,u)). K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). (x * K(y * z,u)) * (z * y) = x * (K(z,y) * T(y * z,u)). T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). ((x / (y \ 1)) \ T(x,y)) \ T(x,y) = (y \ 1) \ x. K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). x != K(y,z) * (K(z,y) * u) | x = u. (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). x * (y * z) != T(z * y,u) | x = (y * z) \ T(z * y,u). K(x,y) * K(x * y,z) = (y * x) \ T(x * y,z). (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). (x * y) * (K(y,x) * K(y * x,z)) = T(y * x,z). ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). R(x,T(y,z),z) = R(x,y,z * K(y,z)). R(x,y,z * K(y,z)) = R(x,T(y,z),z). (x * (y / x)) \ (y * z) = L(K(x \ y,x) * z,K(x,x \ y),y). L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. (1 / x) * (L(x,y,z) \ x) = 1 / L(x,y,z). T(1 / L(x,y,z),x) = (1 / x) * ((L(x,y,z) \ 1) * x). (1 / x) * ((L(x,y,z) \ 1) * x) = T(1 / L(x,y,z),x). x * y != (1 / z) * ((L(z,u,w) \ 1) * z) | x \ T(1 / L(z,u,w),z) = y. (x \ 1) \ T(1 / L(x,y,z),x) = (L(x,y,z) \ 1) * T(x,x \ 1). K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). (x \ 1) / (x \ L(x,y,z)) = (L(x,y,z) * (x \ 1)) \ (x \ 1). (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). x != (y \ 1) / (y \ L(y,z,u)) | x = L(y,z,u) \ 1. (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. T(x,y) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). x != T(y,z) * T(y \ z,y) | x = (y \ z) * T(y,z). (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). x * y != (y \ z) * T(y,z) | x = y \ (z * K(y,z)). x / R(y,y \ x,y) = y \ (x * K(y,x)). x != y \ (z * K(y,z)) | x = (y * K(z,y)) \ z. x / R(y,y \ x,y) = (y * K(x,y)) \ x. x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). R(x,y,T(z,y)) = R(x,y * K(z,y),z). R(x,y * K(z,y),z) = R(x,y,T(z,y)). R(x,y / z,z) = R(x,z \ y,T(z,z \ y)). R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). x != L(K(y \ (z \ u),w),z \ u,z) | x = K((z * y) \ u,w). K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). K((x * (y / x)) \ z,y) = K(y \ z,y). K(((x \ y) * x) \ z,y) = K(y \ z,y). (x * K(y \ z,y)) \ (x * y) = T(y,((u \ y) * u) \ z). T(x,((y \ x) * y) \ z) = (u * K(x \ z,x)) \ (u * x). x != (y * K(z,y)) \ (y * y) | x = T(y,z). T(x,((y \ x) * y) \ z) = T(x,x \ z). T(x,x \ T(y,y \ x)) = T(x,x \ y). T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). x \ T(y,y \ x) = T(y,y \ x) / ((x \ y) \ y). T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). x != T(y,y \ z) / ((z \ y) \ y) | x = y / ((y \ ((z \ y) \ y)) * y). x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). x != K(L(y,z,u) \ 1,y) / R(L(y,z,u) \ 1,y,y \ 1) | x = L(y,z,u). 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). L(x,y,z) \ 1 = (L(x,y,z) \ x) * (x \ 1). (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. K(x \ 1,x) * (L(x \ 1,y,z) \ 1) = (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1). (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). x != T(y,z) \ T(u * T(u \ y,y),z) | x = K((y \ u) \ 1,T(y,z)). K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). x != K((y \ z) \ 1,u) | x = K(z \ y,u). K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). 1 / K(x \ y,T(y,z)) = K(y,T(x,z) \ T(y,z)). K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). x / K(y \ x,T(x,z)) != u | T(x,T(y,z) \ T(x,z)) = u. K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). x != K(y,(z / u) \ 1) | x = K(y,u / z). (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). x != R(L(y,z,u),w,v5) | x = L(R(y,w,v5),z,u). L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). (1 / (1 / x)) / K(y,x) = x / (T(x,y) \ ((x \ 1) \ 1)). x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). x != (1 / (1 / y)) / K(z,y) | x = T(1 / (1 / y),z). x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). K((x * y) / (z * y),u) = R(K(x / z,u),x,y). R(K(x / y,z),x,u) = K((x * u) / (y * u),z). x != R(y,1,z) | x = y. K(R(x,x \ 1,y),z) = K(x,z). K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). (x * R(K(y,z),u,w)) \ x = K(z,R(y,y \ u,w)). K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. x != K(y,L(z,y,y \ 1)) | x = K(y,z). K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). R(K(R(x,y,z),u),w,v5) = R(R(K(x,u),w,v5),x * y,z). R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). R(K(x / (y / z),u),x,z) = K((x * z) / y,u). x != R(K(y,z),z,u) | x = K(y,z). K((x * y) / z,x) = K(x / (z / y),x). K((x * y) / z,x) = K((z / y) \ x,x). K((x * y) / z,x) != u | K((z / y) \ x,x) = u. x != K(y,R(z,z \ u,w)) | x = R(K(y,z),u,w). (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. T(K(x,y) * z,z) / z = K(x,(T(y \ z,z) / z) \ 1). K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. x != T(y * z,u) / z | x = z \ T(z * y,u). K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). x \ T(x * K(y,z),x) = K(y,x / T(z \ x,x)). K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). x != y \ T(y * K(z,u),y) | x = K(T(y / z,y) \ y,u). K(x,T(y / z,y) \ y) = K(T(y / x,y) \ y,z). K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). K(T(1 / x,K(x,y) * z) \ 1,u) = L(T(K(x,u),z),z,K(x,y)). L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). x != K(T(1 / y,z) \ 1,u) | x = T(K(y,u),z). L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). x * y != ((z * K(u,w)) * K(u,v5)) * K(w,u) | x \ (z * K(u,v5)) = y. R(x * K(y,z),K(y,u),K(z,y)) \ (x * K(y,u)) = K(y,u) * K(z,y). (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). x * y != (z * K(u,w)) * K(v5,u) | ((z * K(v5,u)) * K(u,w)) / y = x. ((x * K(y,z)) * K(z,u)) / (K(z,u) * K(y,z)) = R(x,K(z,u),K(y,z)). x != K(y,z \ (u * y)) | x = K(y,(z / y) \ u). K(x,(x \ y) \ z) = K(x,(y / x) \ z). K(x,(y / x) \ z) = K(x,(x \ y) \ z). L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). (x \ 1) \ (L(x,y,z) \ 1) = (L(x,y,z) \ 1) * T(x,x \ 1). (L(x,y,z) \ 1) * T(x,x \ 1) = (x \ 1) \ (L(x,y,z) \ 1). x != (L(y,z,u) \ 1) * T(y,y \ 1) | x = L(y,z,u) \ y. (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. x != L(y,z,u) \ 1 | x = (y \ L(y,z,u)) \ (y \ 1). (x \ 1) * (L(x,y,z) \ x) = (x \ L(x,y,z)) \ (x \ 1). (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. (x * y) \ (y * (T(x,y) * z)) = L(L(z,x,y),y * x,K(x,y)). L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). x != (y * z) \ (z * (T(y,z) * u)) | x = L(u,T(y,z),z). L(L(x,y,z),z * y,K(y,z)) = L(x,T(y,z),z). x != (y * (z \ ((u \ (z * (y \ w))) * u))) \ w | x = K(u,(y * (z \ u)) \ w). K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). K(x,(y * (x / y)) \ z) = K(x,x \ z). K(x,(y * z) \ u) = K(x,(y * ((z \ x) \ x)) \ u). K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). K(x,y \ z) = K(x,((y / T(u,u \ x)) * u) \ z). K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). K(x,y \ z) = K(x,((y \ x) \ x) \ z). K(x,((y \ x) \ x) \ z) = K(x,y \ z). L(T(x,y),T(z,x),K(x,z)) * z = K(x,z) * (T(x,y) * T(z,x)). T(x,y) * z = K(x,z) * (T(x,y) * T(z,x)). K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). x != R(K(y / z,u),y / z,w) | x = K((z / y) \ 1,u). K(x / y,((z * y) / x) \ 1) = K((y / x) \ 1,z \ (x / y)). K((x / y) \ 1,z \ (y / x)) = K(y / x,((z * x) / y) \ 1). K((x / y) \ 1,z \ (y / x)) = K(y / x,y / (z * x)). K(x / y,x / (z * y)) != u | K(x / y,z \ (x / y)) = u. L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). x != L(((y / z) / y) \ 1,(y / z) / y,y) | x = (T(y,z \ 1) / z) \ y. x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. x / ((y \ 1) \ T(x,y)) = (T(x,(y \ 1) \ 1) / (y \ 1)) \ x. (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). (T(x,y) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). K(x,y \ z) * K((z \ y) \ x,x) = x \ R(x,(z \ y) \ 1,x). K(x,y \ z) * K(y \ (z * x),x) = x \ R(x,(z \ y) \ 1,x). (x * (y * T(z,y))) \ ((x * y) * T(z,y)) = a(x,y * K(z,y),z). a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. L(K(x,y),z \ u,z) != w | K(x,(z * ((z \ u) / y)) \ u) = w. K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). x / (K(R(y * z,u,w),y) * x) = K(R(R(y,z,u),z * u,w),y * z). K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). R(x,K(y,z),K(z,u)) = R(x,K(z,u),K(y,z)). R(x,K(y,z),K(u,y)) = R(x,K(u,y),K(y,z)). R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). x != K(y \ 1,L(y,z,u)) * (y / L(y,w,v5)) | x = (L(y,w,v5) \ 1) * y. x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). R(x,K(y \ 1,z),y) != u | R(x,y,K(y \ 1,z)) = u. K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). x != T(y,R(K(z,z \ 1) / u,w,v5)) | x = T(y,R(u \ 1,w,v5)). T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). x * y != K(z \ u,z) * R(T(z,z \ u),w,v5) | x \ (u \ ((R(z,w,v5) * (z \ u)) * z)) = y. x \ (y \ ((R(x,z,u) * (x \ y)) * x)) = T(x,x \ y) \ R(T(x,x \ y),z,u). T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). T(x,y) \ (1 / (1 / T((T(z,x) * x) / T(z,x),y))) = (T(T(x,z),y) \ 1) * T(x,y). T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. K((x * y) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. (1 / x) * y != K(z \ 1,z) / x | y = K(z \ 1,z). K(x \ (1 / y),x * y) = K((x * y) \ 1,x * y). K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). x != K((y * (z \ 1)) \ 1,y * (z \ 1)) | x = (z * K((y / z) \ 1,y / z)) * (z \ 1). K(x \ y,x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). K(x \ y,y \ x) = K(x \ y,x * (y \ 1)). K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). x != K(y \ (z \ 1),u * T(w,w \ 1)) | x = K(y \ (1 / z),u * w). K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). x != K(y \ (z \ 1),(z \ 1) \ y) | x = K(y \ (z \ 1),z * y). K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). x != K(y \ (1 / z),y * z) | x = K((y * z) \ 1,y * z). K(x \ (y \ 1),y * x) = K((x * y) \ 1,x * y). K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((x \ y) \ T((x \ y) * x,x)). (1 / x) * ((x \ y) \ T((x \ y) * x,x)) = (x \ T(y,x)) * ((x \ y) \ 1). ((x * y) * T(z,u)) / (y * T(z,u)) = R(R(x,y,z),y * z,K(z,u)). R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. x != R(R(y,z,u),w,v5) | x = R(R(y,w,v5),z,u). R(x,y,T(z,u)) = R(R(x,y * z,K(z,u)),y,z). R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). T(x,x \ (L(x \ 1,y,z) \ 1)) = (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)). (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). (1 / x) * ((y * x) / y) = (x \ T(y,x)) * ((x \ y) \ 1). (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). x != (1 / y) * ((z * y) / z) | x = K(z,y). (x \ T(y,x)) * ((x \ y) \ 1) = K(y,x). K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). K(x * y,x) = (x \ T(x * y,x)) * (y \ 1). (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). x != (1 / y) * K(z \ (y \ 1),u) | x = K((z * y) \ 1,u) / y. T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. R(x,T(K(y,z),u),T(K(z,y),u)) = (x * T(K(y,z),u)) * T(K(z,y),u). (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. T(1 / R(x,y,z),x) = ((1 / R(x,y,z)) * x) * (x \ 1). ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). x != T(1 / R(y,z,u),y) | x = R(y,z,u) \ 1. (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. x != (y / R(y,z,u)) * w | x = (R(y,z,u) \ y) * w. R(x,y,z) \ 1 = (R(x,y,z) \ x) * (x \ 1). (R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1. (x \ 1) * y != R(x,z,u) \ 1 | T(R(x,z,u) \ x,x \ 1) = y. T(R(x,y,z) \ x,x \ 1) = (x \ 1) \ (R(x,y,z) \ 1). x != (y \ 1) \ (R(y,z,u) \ 1) | x = R(y,z,u) \ y. T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. K(R(x,y,z) \ x,x \ 1) = 1. T(1 / x,R(x,y,z) \ x) = 1 / x. (1 / x) * R(T(1 / x,R(x,y,z) \ x) \ 1,u,w) = T((1 / x) * R((1 / x) \ 1,u,w),R(x,y,z) \ x). T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). x != K(y,R(z / u,w,v5) \ 1) | x = R(K(y,u / z),w,v5). K(x,((x * y) * z) / ((u * y) * z)) = R(K(x,x / u),x * y,z). R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). K(x,(y * z) / ((u * (x \ y)) * z)) = K(R(x,x \ y,z),u \ x). K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). x != K(R(y,y \ z,u),w) | x = R(K(y,w),z,u). K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). x != K(y,z / (y / (u \ 1))) | x = K(y,z / (y * u)). K(x,y \ (x \ 1)) = K(x,z / (x * (y * z))). K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). x != L(y,T(z,y),y) | x = L(y,z,y). T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). (x * (y * K(x,z))) * x = (x * y) * T(x,z). R(T(x,y),z,K(x,u)) = T(x,y). R(x,y,z) = R(R(x,y,z),u,K(x,w)). R(R(x,y,z),u,K(x,w)) = R(x,y,z). T(x,y) * (z * K(x,u)) = (T(x,y) * z) * K(x,u). (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). K(x,y) = R(K(x,y),z,K(y,u)). R(K(x,y),z,K(y,u)) = K(x,y). a(x,y,K(x,z)) = 1. K(T(x / (x / y),x),z) = K(y,z). K(x,y) * L(x,z,x) = L(T(x,y),z,x). K(x,x * y) = K(x,(x \ 1) \ y). K(x,(x \ 1) \ y) = K(x,x * y). K(x,T(y \ (x * z),u)) = K(x,T((x \ y) \ z,u)). K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). L(x,y,z) * K(z,x) = L(x * K(z,x),y,z). L(x * K(y,x),z,y) = L(x,z,y) * K(y,x). K(x,K(y,L(z,u,x))) = K(x,K(y,z)). K(x,(y * (x / y)) \ (x * z)) = K(x,K(y \ x,y) * z). K(x,y) = R(K(x,y),z,x). R(K(x,y),z,x) = K(x,y). T(R(x,y,x),z) = R(x,y,x) * K(x,z). R(x,y,x) * K(x,z) = T(R(x,y,x),z). T(x,y) = x * K(R(x,z,x),y). x * K(R(x,y,x),z) = T(x,z). K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. K(x,y) = K(x,R(y,z,x)). K(x,R(y,z,x)) = K(x,y). x != R(K(y,z / (u / w)),z,w) | x = K(y,(z * w) / u). K(x,y / (z / x)) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,y / (z / x)). K(x,y) * ((y * z) * x) = (y * (K(x,y) * z)) * x. (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). T(x,R(y,z,x)) = x * K(x,y). K(x,K(y,R(z,u,x))) = K(x,K(y,z)). R(T(x,y),z,x) = R(T(x,y),z,T(x,u)). R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). K(x,y) * (z * K(y,u)) = (K(x,y) * z) * K(y,u). (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). x != y / K(z,y) | x = T(y,z). T(x,L(y,z,y)) = T(x,y). L(x,y,x) \ z = T(z / L(x,y,x),x). T(x / L(y,z,y),y) = L(y,z,y) \ x. L(x,y,x) * T(z,x) = z * L(x,y,x). T(x,T(y / z,y)) = T(x,z \ y). T(x,y) = T(x,R(y,z,y)). T(x,R(y,z,y)) = T(x,y). R(x,y,x) \ z = T(z / R(x,y,x),x). T(x / R(y,z,y),y) = R(y,z,y) \ x. T(x / y,R(y,z,y)) = y \ x. R(x,y,x) * T(z,x) = z * R(x,y,x). T(x,T(y,y \ z)) = T(x,T(y,z)). T(x,(y * z) / y) = T(x,y / (y / z)). x * y != z * K(R(z,u,z),w) | x \ T(z,w) = y. R(x,y,x) \ T(x,z) = R((z * x) / z,y,x) \ x. R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). K(x,T(y,z)) = K(x,T(y,y * z)). K(x,T(y,y * z)) = K(x,T(y,z)). R(x,y,x) * K(z,x) = R(x * K(z,x),y,x). R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). T(x,R(y,z,x)) = T(x,y). T(x,(y * x) / z) = T(x,y / (z / x)). T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). K((x \ y) \ z,x) = K(y \ (x * z),x). (x * y) * K(z,x) = x * (y * K(z,x)). K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). T(x,y \ (x * z)) = T(x,(x \ y) \ z). T(x,(x \ y) \ z) = T(x,y \ (x * z)). K(T(x,y),z) = K((x \ y) \ y,z). K((x \ y) \ y,z) = K(T(x,y),z). L(K(x,x * (y \ z)),y \ z,y) != u | K(x,(y * (x \ 1)) \ z) = u. x != T(K(y,z / u),z) | x = K(y,u \ z). K(T(x,y),y / z) = K(x,z \ y). T(T(x,y),z) = T(K(x,z),y) * T(x,y). T(K(x,y),z) * T(x,z) = T(T(x,z),y). T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x). T(x,T(y,z)) = T(x,(y \ z) \ z). T(x,(y \ z) \ z) = T(x,T(y,z)). K(x,T(y,L(y,z,u) * w)) = K(x,T(y,L(y,z,u) * (y \ w))). K(x,T(y,L(y,z,u) * (y \ w))) = K(x,T(y,L(y,z,u) * w)). K(x,T(y,z \ y)) = K(x,T(y,z \ 1)). K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). K(x,T(y,z * y)) = K(x,T(y,z)). K(x,(y \ z) \ z) = K(x,T(y,z)). K(x,T(y * z,y \ 1)) = K(x,T(y * z,z)). x != T(K(y,z \ (u * w)),v5) | x = L(T(K(y,(u \ z) \ w),v5),w,u). K(x,T(y \ (z * u),w)) = L(T(K(x,(z \ y) \ u),w),u,z). L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). x != T(K(y,z),u) | x = K((y \ u) \ u,z). K(x,T(y,z)) = K((x \ z) \ z,y). K((x \ y) \ y,z) = K(x,T(z,y)). x != T(K(y,R(z,u,w)),v5) | x = R(T(K(y,z),v5),z * u,w). K(x,T(R(y,z,u),w)) = R(T(K(x,y),w),y * z,u). R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). x != T(K(y,z),u) | x = K(u,K(z,y)) * K(y,z). K(x,T(y,z)) = K(z,K(y,x)) * K(x,y). K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). x != T(K(y \ 1,z),u) | x = K(T(y,u) \ 1,z). K(x \ 1,T(y,z)) = K(T(x,z) \ 1,y). K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). x != T(K(y / z,u),y) | x = K(z \ y,u). K(x / y,T(z,x)) = K(y \ x,z). x != T(K(y,z),K(y,u)) | x = K(y,z). K(x,T(y,K(x,z))) = K(x,y). x != T(K(y,z),R(y,u,w)) | x = K(y,z). K(x,T(y,R(x,z,u))) = K(x,y). K(x,T(y,K(z,x))) = K(x,y). x != K(y * z,T(y,z)) | x = K(y * z,y). T(K(x * y,x),y) = K(x * y,x). K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). T(x,K(y,T(z,x))) != u | T(x,K(y,z)) = u. K(x,y) * (K(z,u) * x) = T(x,y) * K(z,T(u,x)). K(x,T(y,K(z,u))) * K(u,z) = K(u,z) * K(x,y). K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). K(x,T(y / z,y)) != u | K(x,z \ y) = u. x != K(y,T(z \ 1,L(z,u,w))) | x = K(y,z \ 1). K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). x != K(T(y,z),u \ y) | x = K(y,T(u,z) \ T(y,z)). K(x,T(y \ x,z)) = K(x,T(y,z) \ T(x,z)). K(x,T(y,z) \ T(x,z)) = K(x,T(y \ x,z)). x != K(T(T(y,z),u),w) | x = T(T(y * K(w,y),z),u) \ T(T(y,z),u). K(T(x,y),T(z,u)) = T(T(x * K(z,x),y),u) \ T(T(x,y),u). T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). x * y != K(T(z,u),w) | x \ K(z,T(w,u)) = y. x \ K(y,T(x,z)) = T(x,T(y,z)) \ 1. T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). K(T(x,y),z / y) = K(x,y \ z). K(L(x,y,z),u) = K(L(x,y,z),T(u,x)). K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). K(T(x,L(y,z,u)),y) = K(x,y). K(x,y) = K(x,T(y,T(T(x,z),u))). K(x,T(y,T(T(x,z),u))) = K(x,y). K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). K(x,y) = K(x,T(y,R(T(x,z),u,w))). K(x,T(y,R(T(x,z),u,w))) = K(x,y). T(x,K(y,T(x,z))) = x. T(x,T(y,z)) = x / K(y,T(x,z)). x / K(y,T(x,z)) = T(x,T(y,z)). T(T(x,y),z) = T(x,y) * K(x,T(z,y)). T(x,y) * K(x,T(z,y)) = T(T(x,y),z). K(x,y) = K(x,T(y,K(z,z \ x))). K(x,T(y,K(z,z \ x))) = K(x,y). K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. K(x,T(y,z)) * T(x,z) = T(T(x,y),z). a(x,y,K(z,T(y,u))) = 1. (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). (x * K(y,z)) * K(u,T(y,w)) = (x * K(T(u,w),y)) * K(y,z). (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). K(x,T(y,z)) * y = y * K(x,T(y,z)). T(x / y,K(z,y \ x)) = x / y. L(K(x,T(y,z)),y,u) = K(x,T(y,z)). K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). K(x,R(x,y,z) \ u) = K(x,u / R(x,y,z)). K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). K(((x \ y) * (y \ z)) \ z,u) = K(T(R(x,x \ y,y \ z),z),u). K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). K(K(x,y) * z,u) = K(T(z * K(x,y),z),u). K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). L(K(T(x,y),z),y,u) = K((u * (x \ y)) \ (u * y),z). K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). x * K(x \ y,z) = K(y / x,z) * x. K(x / y,z) * y = y * K(y \ x,z). (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. ((x \ y) \ y) \ z = T(z / ((x \ y) \ y),T(x,y)). T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. L(K(x,T(y,z)),z,u) = K(x,(u * (y \ z)) \ (u * z)). K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). L(x,y / z,K(z \ y,u)) = x. R(K(x \ y,z),y,u) = K((y * u) / (x * u),T(z,y)). K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). L(x,(y * z) / y,K(z,u)) = x. ((x * y) / x) * (T(K(y,z),(x * y) / x) * u) = K(y,z) * (((x * y) / x) * L(u,T(K(y,z),(x * y) / x),(x * y) / x)). K(x,y) * (((z * x) / z) * L(u,T(K(x,y),(z * x) / z),(z * x) / z)) = ((z * x) / z) * (T(K(x,y),(z * x) / z) * u). (x * y) / T(T(x,y),z) = K(z,x) * y. x * y != K(z,u) * w | x \ (w * K(z,T(u,w))) = y. x \ (y * K(z,T(x,y))) = T(x,z) \ y. K(x,y) * z != z * u | K(x,T(y,z)) = u. x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). K(x,T(y,z)) = T(K(x,y),x * z). T(K(x,y),x * z) = K(x,T(y,z)). K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. L(x,K(y,z),(u * y) / u) = x. L(x,T(T(y,z),u),K(w,y)) = x. R(x,K(y,z),L(T(z,u),w,v5)) = x. (K(x,y) * T(T(y,z),u)) * w = K(x,y) * (T(T(y,z),u) * w). (x * T(y,z)) * L(K(u,y),w,v5) = x * (T(y,z) * L(K(u,y),w,v5)). T(x,T(y,T(T(x,z),u))) = K(x,y) * x. T(x,T(y,z) \ T(x,z)) = T(x,T(y \ x,z)). K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). x * K(y,x \ z) = K(z / x,y) \ x. K(x / y,z) \ y = y * K(z,y \ x). K(x,T(y,z)) = K(x,T(y,x * z)). K(x,T(y,x * z)) = K(x,T(y,z)). K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). T(x,T(y,x \ z)) = x * K(x,T(y,z)). R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). (x * y) * K(x,T(z,y)) = K(x,z) * (x * y). x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). K(x,(x * y) \ z) = K(x,T(z / (x * y),y)). K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). R(x,y,z) \ K(x,u) = (R(x,y,z) \ 1) * K(x,u). (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). K(x \ 1,x) * K(y,T(x,z)) = (x \ 1) * (x * K(y,T(x,z))). K(x,T(y,z)) * K(y \ 1,y) = (y \ 1) * (y * K(x,T(y,z))). K(T(x,x \ y),z) != u | K(T(x,y),z) = u. x != K(y,(y \ z) \ u) | x = K(y,(z / y) \ u). K(x,y \ (x * z)) = K(x,(y / x) \ z). K(x,(y / x) \ z) = K(x,y \ (x * z)). x != K(y,(y * z) \ u) | x = (((y \ (u / z)) * y) * z) \ u. K(x,y \ (x \ z)) = (((x \ (z / y)) * x) * y) \ z. (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). L(x,y,x) * K(x,z) = L(T(x,z),y,x). x * y != K(z,u) * L(z,w,z) | x \ L(T(z,u),w,z) = y. x \ L(T(x,y),z,x) = K(x,y) * (x \ L(x,z,x)). K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). R(x,y,x) * K(x,z) = R(T(x,z),y,x). L(x \ 1,x,K(x,y) * z) = (K(x,y) * (z * x)) \ (K(x,y) * z). (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). (K(x,y) * z) / x = K(x,y) * (z / x). (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). K(x,R(T(y,z),u,y)) = K(x,T(y,z)). K(x,T(R(y,z,y),u)) = K(x,T(y,u)). K(x,T(T(y,z),u)) = K(x,T(T(y,y * z),u)). K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)). x * (L(x,y,x) \ z) = (z / L(x,y,x)) * x. (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). x * (R(x,y,x) \ z) = (z / R(x,y,x)) * x. (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). ((x * y) / x) \ (z * y) = T((z / (y * K(x,y))) * y,x / (x / y)). T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). L(x,y,z) = L(L(x,y,z),u,K(w,x)). L(L(x,y,z),u,K(w,x)) = L(x,y,z). K(x,y) = L(K(x,y),z,K(u,y)). L(K(x,y),z,K(u,y)) = K(x,y). K(x,y) = K(L(x,z,K(u,y)),y). K(L(x,y,K(z,u)),u) = K(x,u). (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). R(K(x,y),z,u) = L(R(K(x,y),z,u),w,K(v5,x)). L(R(K(x,y),z,u),w,K(v5,x)) = R(K(x,y),z,u). T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. x != K((y * z) \ u,y) | x = K((y / (z \ 1)) \ u,y). K(x \ (y \ z),y) = K((y / (x \ 1)) \ z,y). K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). R(x,y,K(z,x)) = x. R(x,y,z) = R(R(x,y,z),u,K(w,x)). R(R(x,y,z),u,K(w,x)) = R(x,y,z). T(x,y) * (z * K(u,x)) = (T(x,y) * z) * K(u,x). (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). L(x,y,z) * (u * K(w,x)) = (L(x,y,z) * u) * K(w,x). (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). R(x,y,K(z,T(x,u))) = x. L(x,y,z) * (u * K(w,T(x,v5))) = (L(x,y,z) * u) * K(w,T(x,v5)). (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). K(x,y) * (z * K(u,T(x,w))) = (K(x,y) * z) * K(u,T(x,w)). (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). ((x * K(y,z)) * R(z,u,w)) / K(y,z) = (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x. (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = ((x * K(y,z)) * R(z,u,w)) / K(y,z). K(x,T(y,z \ u)) = K(x,T(y,(u \ z) \ y)). K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). K(x \ 1,y) = K(x \ 1,T(y,L(x,z,u))). K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). K(x,K(y,z)) = K(y \ x,K(y,z)). K(x \ y,K(x,z)) = K(y,K(x,z)). R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). K(x,y) * T(x,T(z,y)) = T(T(x,y),z). x * y != T(z,u) * K(z,T(w,u)) | x \ T(T(z,u),w) = y. K(x,y) \ T(T(x,y),z) = T(x,T(z,y)). (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). T(x,(y * z) \ z) = T(x,T(y \ 1,z)). T(x,T(y \ 1,z)) = T(x,(y * z) \ z). x != K(y,z) * y | x = T(y,z). T(x,T(y,T(T(x,z),u))) = T(x,y). T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). x != K(y / z,u) \ z | x = T(y / z,u) \ y. x * K(y,x \ z) = T(z / x,y) \ z. T(x / y,z) \ x = y * K(z,y \ x). T(x,T(y,x \ z)) = T(x,T(y,z)). T(x,T(y,x \ y)) = T(x,y). L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). T(x,T(x * y,y)) = T(x,x * y). K(x,L(y,x,z)) = K(x,z \ (x \ (z * (x * y)))). K(x,y \ (x \ (y * (x * z)))) = K(x,L(z,x,y)). K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). K(x,L(T(y,x),x,z)) = K(x,z \ (x \ (z * (y * x)))). K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). L(T(x,y),z,x) \ u = K(y,x) * (L(x,z,x) \ u). K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. x * y != R(z,u,z) * K(z,w) | x \ R(T(z,w),u,z) = y. T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). T(x,y) * K(z,y) = T(x * K(z,y),y). T(x * K(y,z),z) = T(x,z) * K(y,z). x != K(y \ z,y) * T(u,y \ z) | x = (z / y) \ (u * (y \ z)). T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). L(T(x,T(y,z)),K(x,z),z * x) = (x * z) \ ((T(x,y) * z) * x). x != y * K(z,y \ u) | x = u / T(y \ u,z). T(x / y,z) \ x = x / T(y \ x,z). x / T(y \ x,z) = T(x / y,z) \ x. x / (y * K(z,y \ x)) = T(x / y,z). K(x,y) * T(z,y) = T(K(x,y) * z,y). T(K(x,y) * z,y) = K(x,y) * T(z,y). T(x / y,z) * y = K(z,u) * (y * T(y \ (K(z,u) \ x),z)). K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = T(u / z,x) * z. (T(x / y,z) \ x) \ x = T(y \ x,z). x / T(y,z) = T(x / (x / y),z) \ x. T(x / (x / y),z) \ x = x / T(y,z). (x * y) / (x * K(z,y)) = T((x * y) / x,z). T(x \ R(x,y,x),y) = K(x,y) * T(K(x * y,x),y). K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). x != y * K(z,u) | x = (y / z) * T(z,u). T(x * K(y,z),y) = (T(x,y) / y) * T(y,z). (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). x * y != T(z,u) * K(u,w) | x \ T(z * K(u,w),u) = y. x \ T(x * K(y,z),y) = K(x,y) * K(y,z). x != K((y \ z) \ u,y) | x = K(z \ (y * u),y). K(x \ (y * z),z) = K(x \ (z * y),z). K(x,T(y \ z,u)) = K(x,T(T(z / y,u),z)). K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). x * T(y,T(x,z)) = T(y,K(x,z)) * x. T(x,K(y,z)) * y = y * T(x,T(y,z)). T(x,T(y,y \ 1)) != z | z = T(x,y). T(x,T(y,y \ 1)) != z | T(x,y) = z. K(x,T(y,T(z,x))) = K(x,T(y,z)). T(1 / x,y) = T(1 / x,T(y,x)). T(1 / x,T(y,x)) = T(1 / x,y). L(x,T(y,T(x,z)),x) = L(x,T(y,K(x,z)),x). L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x). T(K(x,y),z) = T(K(x,y),T(z,y)). T(K(x,y),T(z,y)) = T(K(x,y),z). K(x,T(y,x \ z)) = K(x,T(y,z / x)). K(x,T(y,z / x)) = K(x,T(y,x \ z)). x != T(y,T(z,z \ u)) | x = T(y,T(z,u)). T(1 / (x \ y),x) = T(1 / (x \ y),T(x,y)). T(1 / (x \ y),T(x,y)) = T(1 / (x \ y),x). T(K(x,y \ z),y) = T(K(x,y \ z),T(y,z)). T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). T(x,(y \ 1) \ 1) != z | T(x,y) = z. x != K(y,T(z,y \ u)) | x = K(y,T(z,u)). K(x,T(y,z / x)) = K(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,z * x)). K(x,T(y,z * x)) = K(x,T(y,z)). K(a(x,y,z),T(u,x * (y * z))) = K(a(x,y,z),T(u,(x * y) * z)). K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). x != K(y,z) | x = K(L(y,u,y),z). K(x,T(y,z * x)) = K(L(x,u,x),T(y,z)). K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). x != K(y,T(z,u)) | x = T(K(y,z),u). K(x,T(y,z)) = T(K(x,y),z * x). T(K(x,y),z * x) = K(x,T(y,z)). (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). T(K(x,y),z * x) = T(K(x,y),z). (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. K(T(x,y),z) != u | K(x,T(z,y)) = u. K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. T(K(x,y),z * x) != u | K(x,T(y,z)) = u. K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u. x != L(T(K(y,z),u),u,K(y,w)) | x = T(K(y,z),K(y,w) * u). T(K(x,y),z) = T(K(x,y),K(x,u) * z). T(K(x,y),K(x,z) * u) = T(K(x,y),u). T(K(x,y),z) = T(K(x,y),K(u,x) * z). T(K(x,y),K(z,x) * u) = T(K(x,y),u). T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5). x != (K(y,z) / z) \ 1 | x = T(z,y). T(x,L(y,z,K(u,x))) = T(x,y). T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. K(x * y,T(y,z * (y * x))) != u | K(y * x,T(y,z)) = u. (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). x != R(y,z,u) * K(w,y) | x = K(w,y) * R(y,z,u). R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). K(R(L(x,y,x),z,u),w) = K(R((y * x) / y,z,u),T(w,x * y)). K(R((x * y) / x,z,u),T(w,y * x)) = K(R(L(y,x,y),z,u),w). K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). (x * y) * K(x,K(z,T(u,y))) = K(x,K(z,u)) * (x * y). x != K(y,(y * z) \ u) | x = K(y,z \ (y \ u)). K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). (x / R(y,z,y)) * y != y * u | R(y,z,y) \ x = u. K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). K(x \ (y \ 1),x) = K(y \ (x \ 1),x). K(x \ (y \ 1),y) = K(y \ (x \ 1),y). K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). T(x,(y * z) \ z) = x * K(x,z \ (y \ z)). x * K(x,y \ (z \ y)) = T(x,(z * y) \ y). x * y != T(x,z) * T(u,x) | T(T(x,z) * (x \ u),x) = y. T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). T(T(x,y) / (x / y),(x / (x / y)) \ z) = T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ z). T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ z) = T(T(x,y) / (x / y),(x / (x / y)) \ z). x != T(y,L(K(z,y),u,w)) | x = y. T(x,K(x,y) * L(K(z,x),u,w)) = x. T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). T(x,(x \ y) \ z) = T(x,(y / x) \ z). T(x,(y / x) \ z) = T(x,(x \ y) \ z). K(T(x,y),z) = K(x,T(z,K(x,u) * y)). K(x,T(y,K(x,z) * u)) = K(T(x,u),y). L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). T(x,y / (z / x)) = T(x,y / (x \ z)). (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). T(x,y * L(K(x,z),u,w)) = T(x,y). T(x,y * (x * z)) = T(x,y * (z * x)). T(x,y * (z * x)) = T(x,y * (x * z)). T(x,K(y,x * K(y,z))) = x. K(x,y * R(K(x,z),u,w)) = K(x,y). K(x,y / (x \ z)) = K(x,y / (z / x)). K(x,y / (z / x)) = K(x,y / (x \ z)). K(x,y \ z) = K(x,y \ T(z,x)). K(x,y \ T(z,x)) = K(x,y \ z). K(x,T(y,z)) = K(x,T(K(u,x) * y,z)). K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). K(x,y) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). K(x,y) = K(x,K(z,x) * y). K(x,K(y,x) * z) = K(x,z). K(x,K(y,x * K(y,z))) = 1. K(x,y \ T(y * z,x)) = K(x,z). K(x,T(x,y) * z) = K(x,x * z). K(x,K(y,x) \ z) = K(x,z). K(x,R(K(y,x),z,u) * w) = K(x,w). K(x * T(y,z),z) = K(x * y,z). R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). K(x * L(K(y,z),u,w),z) = K(x,z). K(x * y,y) = K(x * T(y,z),y). K(x * T(y,z),y) = K(x * y,y). K(x,y) = K(x * K(y,z),y). K(x * K(y,z),y) = K(x,y). K(x * K(y,T(z,u)),z) = K(x,z). K(K(x,y) * z,y) = K(z,y). R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y * K(x,w)). K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). x != K(y,z) | x = K(y * K(z,u),z). K(K(x,y) * z,x) = K(z * K(x,u),x). K(R(K(x,y),z,u) * w,x) = K(w,x). K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). K(x * (R(y,z,y) \ u),y) = K(x * (u / R(y,z,y)),y). K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). x != K(y * z,z) | x = K(z * y,z). K(x * T(y,z),y) = K(y * x,y). K(x * T(y,z),y) = K(T(y,z) * x,y). K(T(x,y) * z,x) = K(z * T(x,y),x). K(T(x,T(y,z)) * u,y) = K(x * u,y). K(x,y) = K(y * (x / T(y,z)),y). K(x * (y / T(x,z)),x) = K(y,x). T(x,y * (z * K(x,u))) = T(x,y * z). T(x,y * K(L(x,z,u),w)) = T(x,y). K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. K(x,K(y,R(x,z,u)) * w) = K(x,w). K(x * K(y,L(z,u,w)),z) = K(x,z). K(x * y,z) = K(x * (y * K(z,u)),z). K(x * (y * K(z,u)),z) = K(x * y,z). K((K(x,y) * z) * u,x) = K(z * u,x). K(K(R(x,y,z),u) * w,x) = K(w,x). T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). L(T(x,y),z,u) \ L(x,z,u) = K(y * K(L(x,w,v5),v6),L(x,z,u)). K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6). K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). K(x,R(x,y,z) \ u) = K(x,T(R(x,y,z),w) \ u). K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). K(x,y * K(z,R(x,u,w))) = K(x,y). K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). K(x,y) = K(K(L(y,z,u),w) * x,y). K(K(L(x,y,z),u) * w,x) = K(w,x). K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). K(x * y,z) = K(T(x,R(z,u,w)) * y,z). K(T(x,R(y,z,u)) * w,y) = K(x * w,y). K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). x != T(y,(y \ z) \ u) | x = T(y,z \ (y * u)). T(x,(y / x) \ z) = T(x,y \ (x * z)). K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). x != T(y,z / (u / y)) | x = T(y,(z * y) / u). T(x,y / (x \ z)) = T(x,(y * x) / z). T(x,(y * x) / z) = T(x,y / (x \ z)). x != K(y,z / (u / y)) | x = K(y,(z * y) / u). K(x,y / (x \ z)) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,y / (x \ z)). K(x,T(y,z)) = K(x,T(K(x,u) * y,z)). K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). K(K(x,y) * z,x) != u | K(z,x) = u. K(x * y,x) != z | K(y * x,x) = z. T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). K(x * (K(y,z) * u),y) = K(x * u,y). K(K(x,T(y,z)) * u,z) = K(K(x,y) * u,z). T(x,(y * (1 / x)) \ z) = T(x,R(y,x \ 1,x) \ (x * z)). T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). R(x,y,z) \ R(x * K(u * w,x),y,z) = K(u * (K(x,v5) * w),R(x,y,z)). K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). T(x,y \ ((x \ z) * x)) != u | x * K(x,y \ z) = u. L(T(x,y \ z),u,w) \ L(x,u,w) = K(y \ ((x \ z) * x),L(x,u,w)). K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). x != T(y,z \ (y * u)) | x = T(y,(z / y) \ u). T(x,y \ (z * x)) = T(x,(y / x) \ z). T(x,(y / x) \ z) = T(x,y \ (z * x)). x != T(y,z \ (y * u)) | x = T(y,(y \ z) \ u). T(x,y \ (z * x)) = T(x,(x \ y) \ z). T(x,(x \ y) \ z) = T(x,y \ (z * x)). L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). x != T((y * (z * K(u,z))) / y,u) | x = (y * z) / y. (x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x. ((1 / ((x * y) \ x)) / y) * T(y,z) = T((1 / ((x * y) \ x)) * K(y,z),y). T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). (x \ (y * T(x,z))) * x != u * T(x,z) | T(y,x) = u. x * T(y,T(z,x)) = K(y,z) * (x * y). K(x,y) * (z * x) = z * T(x,T(y,z)). x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). K(R(x * K(y,z),u,w),z) = K(R(K(y,z) * x,u,w),z). K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). K(K(x,y),z) = K(x,K(y,z)). x != K(y * z,K(z,u)) | x = K(u,K(z,y)). K(x,K(y,z * y)) = K(x,K(y,z)). (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). T(K(x,y),z) = K(y,K(x,z)) \ K(x,y). K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). T(x,K(y,z)) = K(z,K(y,x)) * x. K(x,K(y,z)) * z = T(z,K(y,x)). K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. K(x,K(y,z)) * K(x,y) = T(K(x,y),z). x != K(R(y \ 1,z,u) \ 1,w) | x = R(K(y,w),z,u). K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). x != K(y,R(z,u,w) \ 1) | x = R(K(y,z \ 1),u,w). K(x,K(y,R(z,u,w) \ 1)) = R(K(K(x,y),z \ 1),u,w). R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). T(x,K(y,z)) * K(y,K(z,x)) = x. K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. K(x,K(y,z)) != u | K(z,K(y,x)) = u. K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). K(K(x,y),z) = K(K(y,u) * x,K(y,z)). K(K(x,y) * z,K(x,u)) = K(K(z,x),u). K(x,K(y,z)) = K(x,K(y,z / y)). K(x,K(y,z / y)) = K(x,K(y,z)). K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). K(x,K(y,y * z)) = K(x,K(y,z)). K(x,K(y,z)) * z = T(z,K(y,y * x)). T(x,K(y,y * z)) = K(z,K(y,x)) * x. K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). K(K(x,y),z) = K(y,K(z,x)). K(x,K(y,z)) != u | K(y,K(x,z)) = u. x != K(y,K(z,u)) | x = K(K(y,z),u). K(x,K(y,z)) = K(K(y,x),z). K(K(x,y),z) = K(y,K(x,z)). x != K(y,K(z,u)) | x = K(u,K(z,y)). K(x,K(y,z)) = K(z,K(x,y)). x != K(y * z,K(y,u)) | x = K(z,K(y,u)). K(x,K(x * y,z)) = K(y,K(x,z)). T(x,K(y,z)) = x * K(y,K(x,z)). x * K(y,K(x,z)) = T(x,K(y,z)). T(x,K(y,z)) = K(y,K(x,z)) * x. K(x,K(y,z)) * y = T(y,K(x,z)). K(x,K(y,z * y)) = K(y,K(x,y * z)). K(x,y) * K(y,K(z,x)) = T(K(x,y),z). K(x,K(T(y,z),u)) = K(y,K(x,T(u,z))). K(x,K(y,z)) = K(y,K(x,L(z,u,K(y,w)))). K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). K(x,y) * K(y,K(z,x)) = K(x,T(y,z)). K(x,K(y,z)) = K(y,K(x,K(y,u) * z)). K(x,K(y,K(x,z) * u)) = K(y,K(x,u)). K(x,K(y,z)) * z = T(z,K(x,y)). K(K(x,y),z) = K(x,K(z,y)). K(K(x,y),z) = K(z,K(x,y)). x != K(K(y,z),u) | x = K(z,K(u,y)). K(x,K(y,z)) = K(x,K(z,y)). K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. K(x,K(y,z)) != u | K(z,K(x,y)) = u. K(R(K(x,y),z,u),w) = K(y,K(R(x \ 1,z,u) \ 1,w)). K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). x * K(K(y,z),x) = T(x,K(y,z)). x != K(y,K(z,u)) | x = K(z,u) * K(u,T(z,y)). K(x,K(y,z)) = K(x,y) * K(y,T(x,z)). K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). x != K(y \ z,K(y,u)) | x = K(z,K(y,u)). K(x,K(y,x \ z)) = K(z,K(x,y)). T(x,K(y,z)) = K(z,K(x,y)) * x. K(x,K(y,z)) * y = T(y,K(z,x)). K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). K(x,K(y,z)) * x = T(x,K(z,y)). K(x,K(y,z)) != u | K(y,K(z,x)) = u. T(K(x,y),z) = K(x,y) * K(z,K(x,y)). K(x,y) * K(z,K(x,y)) = T(K(x,y),z). K(x,K(y,z)) * K(x,K(y,z)) = 1. K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. K(x,K(y,z)) != u | K(x,K(z,y)) = u. K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,((1 / u) / (y / u)) \ 1)). K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). T(x,y * z) = T(x,y * T(z,K(x,u))). T(x,y * T(z,K(x,u))) = T(x,y * z). K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). K(x,K(y,y \ z)) = K(x,K(y,z)). K(x * y,x) * K(z,K(x,y)) = K(x * y,T(x,z)). x != K(y,K(z,u)) | x = K(z,K(y,u)). K(x,K(x * y,z)) = K(x,K(y,z)). K(x,y) * (z * x) = T(z * T(x,y),K(x,y)). T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). (K(x,y) * z) * K(y,x) = T(z,K(x,y)). K(x,y) * z = T(z * K(x,y),K(x,y)). T(x * K(y,z),K(y,z)) = K(y,z) * x. x * K(y,z) = T(K(y,z) * x,K(z,y)). T(K(x,y) * z,K(y,x)) = z * K(x,y). K(x,y) * (z * K(y,x)) = T(z,K(x,y)). x != T(T(y,z),K(z,u)) | x = T(y,T(z,u)). T(T(x,y),K(z,y)) = T(x,T(y,z)). x != T(y * z,K(z,u)) | x = z * T(y,T(z,u)). T(x * y,K(z,y)) = y * T(x,T(y,z)). T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). T(T(x,y),K(z,u)) != w | T(T(x,K(u,z)),y) = w. T(T(x,K(y,z)),K(y,z)) != u | u = x. T(T(x,K(y,z)),z) = T(x,T(z,y)). T(x,K(y,z)) * z = z * T(x,T(z,y)). T(x,K(y,z)) != u | u = T(x,K(z,y)). T(x,K(y,z)) != u | T(x,K(z,y)) = u. K(x,K(y,z)) * (z * R(K(y,u),w,v5)) = T(z * R(K(y,u),w,v5),K(x,y)). R(x,K(y,z),T(u,K(y,z))) = R(x,T(K(y,z),u),u). R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). x != K(y,K(z,u)) | x = K(z,K(u,y)). K(x,K(y,x \ z)) = K(x,K(y,z)). K(x,K(y,x \ z)) = K(x,K(z,y)). T(x,K(y,x \ z)) = K(z,K(x,y)) * x. K(x,K(y \ z,y)) = K(x,K(z / y,z)). K(x,K(y,z)) = K(x,K(x \ y,z)). K(x,K(x \ y,z)) = K(x,K(y,z)). T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). K(T(x,T(y,z)),z) = K(T(x,y),z). K(x,T(y,T(y * z,u))) = K(x,T(T(y,z),K(u,y * z))). K(x,T(T(y,z),K(u,y * z))) = K(x,T(y,T(y * z,u))). x * y != z * K(u \ z,w) | (u * T(u \ z,w)) / y = x. (x * T(x \ y,z)) / y = T(K(x \ y,z),y). x * y != y * K(y \ z,u) | x = K(z / y,u). T(K(x \ y,z),x) = K(y / x,z). x * y != y * K(z \ y,u) | x = K(y / z,u). T(K(x \ y,z),y) = K(y / x,z). K(x \ y,z) * y = y * K(y / x,z). K(T(x,y),z) * y = y * K(x,z). x * L(K(y,z),u,w) = L(T(K(y,z),x),u,w) * x. L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). x * R(K(y,z),u,w) = R(T(K(y,z),x),u,w) * x. R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. K(x \ y,T(z,y)) = K(y / x,z). K(T(x,y) \ 1,T(z,y)) = K(x \ 1,z). (x * K(y,z)) / x = K(y,T(z,x)). x * R(K(y,z),u,w) = R(K(y,T(z,x)),u,w) * x. R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). K(x,y) * T(x,z) = T(T(x,z),T(y,z)). T(T(x,y),T(z,y)) = K(x,z) * T(x,y). x != K(R(y,z,u),T(w,v5)) | x = K(R(T(y,v5),z,u),w). K(R(x,y,z),u) = K(R(T(x,w),y,z),T(u,w)). K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). x != K(L(y,z,y),T(u,w)) | x = K(y,T(u,w * y)). K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). x != K(y,T(T(z / u,w),z)) | x = K(y,T(u \ z,w)). K(x,y / z) = K(x,T(z \ y,y)). K(x,T(y \ z,z)) = K(x,z / y). x != K(y / z,T(u,z)) | x = K(z \ y,u). K(x / y,z) = K(y \ x,T(z,y)). K(x \ y,T(z,x)) = K(y / x,z). K(x,T(y \ z,y)) = K(x,z / y). K(x,T(y,z)) = K(x,(z * y) / z). K(x,(y * z) / y) = K(x,T(z,y)). K(T(x,y),z \ y) = K(x,y / z). x != K(T(y * K(z,u),y),w) | x = K(K(z,u) * y,w). K(x * K(y,z),u) = K(K(y,z) * x,T(u,x)). K(K(x,y) * z,T(u,z)) = K(z * K(x,y),u). K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). K(T(x,y),y \ z) = K(x,z / y). K(T(x,y),z) = K(x,(y * z) / y). K(x,(y * z) / y) = K(T(x,y),z). K(T(x,y),R(z,y,u)) = K(x,((y * z) * u) / (y * u)). K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). K(T(x,y \ z),y) = K(x,z / (z / y)). K(x,T(y,z)) = K(x * K(z,x),y). K(x * K(y,x),z) = K(x,T(z,y)). T(x,y) = x * K(T(x,z),T(y,z)). x * K(T(x,y),T(z,y)) = T(x,z). K(x,y) * K(z,y) = T(T(y,z),T(x,z)) \ y. T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). L(K(x,y),z * T(y,u),w) = K(T(x,u),L(T(y,u),z,w)). K(x,K(y,z)) = K(x,K(y,x * z)). K(x,K(y,x * z)) = K(x,K(y,z)). T(K(x \ y,z),x) = K((x / y) \ 1,z). x != T(K(y,z),z * u) | x = K(y,T(z,u)). K(x / (y * z),y) = K((y * z) \ x,T(y,z)). K((x * y) \ z,T(x,y)) = K(z / (x * y),x). K(x \ y,z \ y) = K(y / x,y / z). K(x / y,x / z) = K(y \ x,z \ x). K((x * y) / z,x) = K(z \ (x * y),T(x,y)). K(x \ (y * z),T(y,z)) = K((y * z) / x,y). K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). x * y != y * K(z,u \ 1) | x = K(z,u \ K(u,y)). K(x,T(y \ 1,z)) = K(x,y \ K(y,z)). x * y != y * K(z,(y \ u) \ 1) | x = K(z,y / u). K(x,T((y \ z) \ 1,y)) = K(x,y / z). x * y != K(z,T(u,w)) * w | (w * K(z,u)) / y = x. (x * K(y,z)) / (y \ x) = T(y,T(z,x)). K(x,T(y,z)) * z != z * u | K(x,y) = u. (x * y) \ ((x * K(z,u)) * y) = R(T(K(z,T(u,x)),x * y),x,y). R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). x * (y * K(x,z)) = T(x,T(z,y)) * y. T(x,T(y,z)) * z = x * (z * K(x,y)). T(K(x,y),z) * (z / y) = (z / y) * K(x,y). R(x,K(T(y,z),u),z * K(u,y)) * z = (x * K(T(y,z),u)) * (K(u,T(y,z)) * z). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. K(x,T(y,z * K(x,u))) = K(x,T(y,z)). K(x,T(y * K(x,z),u)) = K(x,T(y,u)). K(x \ (y \ z),T(y,z)) = K((y \ z) / x,y). L(K(x \ y,T(z,u * y)),y,u) = K((u * y) / (u * x),z). K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). L(K(x,T(y,z * u)),u,z) = (z * (u * K(x,y))) / (z * u). (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). x != K(y,T(z,y * u)) | x = K(y,T(z,u)). K(x,(x * y) / z) = K(x,T(z \ (x * y),y)). K(x,T(y \ (x * z),z)) = K(x,(x * z) / y). K(x,T(y,z)) = K(x,z / (z / y)). K(x,y / (y / z)) = K(x,T(z,y)). K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). K(R((x * y) / x,z,u),w) = K(R(y,z,u),T(w,x)). K(x \ T(x * y,y),z) = K(y,T(z,x * y)). x != K(y \ z,u) | x = K((z \ y) \ 1,u). K(x / y,z) = K((x \ y) \ 1,T(z,y)). K((x \ y) \ 1,T(z,y)) = K(x / y,z). K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). K(x,T(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). K(x,L(y / (z \ u),z \ u,z)) = K(x,T(u \ (z * y),z \ u)). K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). x != K(y,(z * u) / z) | x = ((z * ((y * u) / y)) / z) / ((z * u) / z). K(T(x,y),z) = ((y * ((x * z) / x)) / y) / ((y * z) / y). ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). K(x * K(y,x),z) = K(x,T(z,K(L(x,u,w),v5) * y)). K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). x * K(T(x,y),z \ 1) = T(x,z \ K(y,z \ 1)). T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). K(x * T(y,z),T(y,u)) = K(x * y,T(y,u)). K(x,T(y,z)) = K(x,T(y,z * K(u,x))). K(x,T(y,z * K(u,x))) = K(x,T(y,z)). K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. K(x,y / (y / z)) != u | K(T(x,y),z) = u. K(K(x,y),z) != u | K(z,K(x,y)) = u. K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). K(x,y) * K(x,K(y,z)) = T(K(x,y),K(u,y) \ z). T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). K(x,K(y,z)) * K(x,y) = T(K(x,y),T(z,K(y,u))). T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). T(x,T(y,T(z,x))) = T(x,T(y,z)). T(x,T(y,x \ z)) = T(x,T(y,z / x)). T(x,T(y,z / x)) = T(x,T(y,x \ z)). x != K(K(y,z),u) | x = K(y,K(z,u)). K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). x != K(y,K(z,u)) * u | x = T(u,K(z,y)). T(x,K(y,y * z)) = T(x,K(y,z)). x != T(y,K(z,T(y,u))) | x = y. T(x,K(y,y * T(x,z))) = x. T(x,K(y,z)) = T(x,K(y,y \ z)). T(x,K(y,y \ z)) = T(x,K(y,z)). T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). K(x,T(y,z)) = T(K(x,y),T(z,K(u,x))). T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). K(x,y) * K(y,K(z,x)) != u | K(x,T(y,z)) = u. K(x,K(T(y,z),u)) = K(y,K(u,T(x,z))). K(x,y) * K(y,K(z,T(x,u))) = K(x,T(y,T(z,u))). K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). R(K(x,y),z,u) \ R(T(K(x,y),w),z,u) = K(w,R(K(x,y),z,u)). x != y * T(z,T(y,u)) | x = T(z * y,K(u,y)). T(x,K(y,z)) * z = T(x * z,K(y,z)). T(x * y,K(z,y)) = T(x,K(z,y)) * y. x != K(y,K(z,u)) * z | x = T(z,K(u,y)). T(x,K(y,x \ z)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(y,x * z)). T(x,K(y,x * z)) = T(x,K(y,z)). x != T(y,K(z,u)) | x = T(y,K(u,z)). T(x,K(y,x * z)) = T(x,K(z,y)). T(T(x,K(y,z)),u) = T(T(x,u),K(z,x * y)). T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). K(x,K(y,y \ z)) = K(x,K(z / y,z)). K(x,K(y / z,y)) = K(x,K(z,z \ y)). K(x \ (y \ z),y) * z = z * K(z / (y * x),y). K(x \ 1,T(y,x \ z)) = K((z / (z / x)) \ 1,y). K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,y \ x)). x != K(y,z) * T(y,u) | x = K(y,u) * T(y,z). T(T(x,y),T(z,y)) = K(x,y) * T(x,z). K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). T(K(x \ y,z),x) != u | K(y / x,z) = u. K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). K(x \ 1,y) * K(y,x \ K(x,z)) = K(x \ 1,K(y,z)). x != K(y,T(z \ 1,u)) | x = K(y,T(1 / z,u)). K(x,y / z) = K(x,T(1 / (y \ z),y)). K(x,T(1 / (y \ z),y)) = K(x,y / z). (x * (K(y,z) * K(x,u))) * K(z,y) = T(x,T(u,K(y,z))). R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). (x * (K(y,z) * K(x,u))) * K(z,y) != w | w = T(x,T(u,K(y,z))). (x * (K(y,z) * K(x,u))) * K(z,y) != w | T(x,T(u,K(y,z))) = w. K(x,T(y,z * (x * u))) = K(x,T(y,z * (u * x))). K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). K(x,T(y,z * u)) = K(x,T(y,(z * K(w,x)) * u)). K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). K(x,T(T(y,z),u)) = K(x,T(T(K(w,x) * y,z),u)). K(x,T(T(K(y,x) * z,u),w)) = K(x,T(T(z,u),w)). K((x \ y) \ 1,T(z,y)) = K((y / x) \ 1,z). K(x,T(y,z * L(K(u,x),w,v5))) = K(x,T(y,z)). x != T(y,T(z,y \ u)) | x = T(y,T(z,u)). T(x,T(y,z / x)) = T(x,T(y,z)). T(x \ y,T(z,x)) = T(x \ y,T(z,y)). T(x \ y,T(z,y)) = T(x \ y,T(z,x)). K(x,K(y,z)) = K(K(u,y) * x,K(y,z)). K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). R(x,K(y,z) * u,K(u,K(y,w))) = x. K(x * K(y,z),K(y,u)) = K(x,K(y,u)). R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). x != K(y,K(z,y \ u)) | x = K(y,K(u,z)). K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). K(x,K(y,(x \ z) \ u)) = K(x,K(y,(z / x) \ u)). K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). K(x,K(y,z)) = K(x,K(y,z * K(u,x))). K(x,K(y,z * K(u,x))) = K(x,K(y,z)). K(x,K(y,z)) * K(y,x) != u | u = K(y,T(x,z)). K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. x \ T(y,K(z,x)) = T(x \ y,K(z,x)). x != K(y,K(z,z \ u)) | x = K(y,K(z,u)). K(x,K(y / z,y)) = K(x,K(z,y)). K(x,K(y,z)) = K(x,K(y \ z,z)). K(x,K(y \ z,z)) = K(x,K(y,z)). K(x,K(y,z \ y)) = K(x,K(z,y)). x != K(y,K(z,u)) | x = K(y,K(u,z)). K(x,K(y,z \ y)) = K(x,K(y,z)). x != K(y,K(z,u \ z)) | x = K(y,K(z,u \ 1)). K(x,K(y,z)) = K(x,K(z,y \ 1)). K(x,K(y,z \ 1)) = K(x,K(z,y)). K(x,K(y,z)) = K(x,K(y,z \ 1)). K(x,K(y,z \ 1)) = K(x,K(y,z)). K(x,K(y \ 1,z)) = K(x,K(y,z)). K(x \ 1,K(y,z)) = K(y,K(x,z)). K(x,K(y,z \ 1)) = K(z,K(x,y)). K(x,K(y,z / (u * z))) = K(x,K(u,y)). K(x,K(y,z \ u)) = K(x,K(u \ z,y)). K(x,K(y \ z,u)) = K(x,K(u,z \ y)). K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. K(x,K(y \ 1,z)) = K(z,K(x,y)). K(x \ 1,K(y,z)) = K(y,K(z,x)). T(x,K(y,z \ 1)) = x * K(x,K(y,z)). K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). K(x,K(y \ 1,z)) = K(y,K(x,z)). K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). K(x \ 1,K(y,z)) = K(x,K(y,z)). K(x,(T(y,z) / u) / (y / u)) = K(z,K(x,(u \ 1) / (y / u))). K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). K(x,y) * z != T(T(x,y),u) | z = T(x,T(u,y)). T(x,y) = T(x,T(T(y,z),z)). T(x,T(T(y,z),z)) = T(x,y). (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). T(x,T(y \ z,y)) = T(x,z / y). T(x,T(y,z)) = T(x,(z * y) / z). T(x,(y * z) / y) = T(x,T(z,y)). T(x,T(y,z)) = T(x,y * K(z,y)). T(x,y * K(z,y)) = T(x,T(y,z)). K(x,T(y,z)) * (z * x) = z * T(x,y). T(x,(y * L(z,u,w)) / y) = T(x,L(T(z,y),u,w)). T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). x != T(y,z * K(u,z)) | x = T(y,(z \ 1) \ K(u,z)). T(x,T(y,z)) = T(x,(y \ 1) \ K(z,y)). T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). x \ K(x,y) = T(x \ K(x,y),K(z,x)). T(x \ K(x,y),K(z,x)) = x \ K(x,y). K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. K(x,K(y * z,(y \ u) \ z)) = K(x,K(u \ (y * z),z \ (y \ 1))). K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. T(x,K(y,z \ 1)) = T(x,K(y,z)). T(x,K(y \ 1,z)) = T(x,K(z,y)). T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). T(x,T(y,z)) * T(z,x) = z * T(x,y). x * y != K(z,T(u,w)) * (w * z) | (w * T(z,u)) / y = x. (x * T(y,z)) / T(x,y) = T(y,T(z,x)). T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). T(x \ K(x,y),x) = T(x \ K(x,y),T(x,z)). T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). T(x,T(y,z \ 1)) = T(x,T(y,z)). x != T(y,z) | x = y * K(y,z). T(x,T(y,z \ 1)) = x * K(x,T(y,z)). (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). (x * T(y,z)) / T(x,y) != u | u = T(y,T(z,x)). (x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u. (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). (x * T(y,z)) / T(x,y) = T(y,T(z * K(y,u),x)). T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). K(x,T(y,z \ 1)) = K(x,T(y,z)). x != K(y * z,T(u,y \ 1)) | x = K(y * z,T(u,z)). K(x * y,T(z,x)) = K(x * y,T(z,y)). K(x * y,T(z,y)) = K(x * y,T(z,x)). x != K(y,T(z,u \ 1)) | x = K(y,T(z,u \ y)). K(x,T(y,z)) = K(x,T(y,z \ x)). K(x,T(y,z \ x)) = K(x,T(y,z)). x != K(y,T(z,u \ 1)) | x = K(y,T(z,u \ z)). K(x,T(y,z)) = K(x,T(y,z \ y)). K(x,T(y,z \ y)) = K(x,T(y,z)). K(x,T(y,z \ u)) = K(x,T(y,u \ z)). K(x * R(y,z,u),y) = K(x * R(y,z,u),T(y,x)). K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. K(T(x,y \ z),y) != u | K(T(x,z),y) = u. K(T(x \ y,x),z) != u | K(y / x,z) = u. K(x \ y,T(z,x)) != u | K(y / x,z) = u. K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. K(x,T(y * z,z)) != u | K(x,T(y * z,y)) = u. x != K((((y \ 1) \ 1) \ z) \ u,w) | x = K((y \ z) \ u,w). K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). K(x,T(y,z \ u)) = K(x,T(y,z \ (y \ u))). K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). T(x,y \ (z \ y)) = T(x,(z * y) \ y). T(x,(y * z) \ z) = T(x,z \ (y \ z)). x != T(y,(z * u) \ u) | x = T(y,T(z \ 1,u)). T(x,y \ (z \ y)) = T(x,T(z \ 1,y)). T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). T(x,T((y / z) \ 1,y)) = T(x,y \ z). K(T(x,y \ z),y) = K(T(x,(y / z) \ 1),y). K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). 1 = K(x,K(y,R(T(x,z),u,w))). K(x,K(y,R(T(x,z),u,w))) = 1. K(x,K(y,R(x,z,u))) = 1. T(x,K(y,R(x,z,u))) = x. T(x,y) = T(T(x,y),K(z,R(x,u,w))). T(T(x,y),K(z,R(x,u,w))) = T(x,y). K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. K(K(x,y) * (z * x),u) = K(z * T(x,y),T(u,K(x,y))). K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). T(K(x \ y,z),y) != u | K(y / x,z) = u. K(x \ y,T(z,y)) != u | K(y / x,z) = u. K(R(x,y,z),T(u,x \ w)) = K(R(w / (w / x),y,z),u). K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). x != K((y * z) / u,y) | x = K((u / z) \ y,y). K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. x != (y / z) * K(u,z) | x = y / T(z,u). T(K(x,y),z) * (z / y) = z / T(y,x). K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). x * K((y \ x) / z,y) = K(z \ (y \ x),y) * x. K(x \ (y \ z),y) * z = z * K((y \ z) / x,y). x != K(y,(y * z) / u) | x = K(y,(u / z) \ y). K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w. T(T(x,y),K(z,x * y)) = T(x,T(y,z)). T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). K(x \ 1,T(y,z)) = K((z / (z / x)) \ 1,y). K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,x)). R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). x != K(y,z) * K(y,K(z,u)) | x = T(K(y,z),u). T(K(x,y),z \ 1) = T(K(x,y),z). T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z / y)). K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). T(x,y) * T(x \ K(x,z),x) = (x \ K(x,z)) * T(x,y). x != K(y \ (z \ (u * z)),z) | x = K(y \ u,z). K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). K(x,T(y,(y * z) \ u)) = K(x,T(y,z \ u)). K(x,T(y,(y \ z) \ u)) = K(x,y) * K(x,K(y,z \ u)). K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). x * K(y,T((z / u) \ y,x)) = K(y,T(z \ (y * u),u)) * x. K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). K(x * y,T(x,z)) = K(x * y,T(x,y \ z)). K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). x != K(y * z,T(y,u)) | x = K(z * y,T(y,u)). K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). K(x * y,T(y,z)) = K(x * y,T(y,x \ z)). K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). K(x * y,T(y,z)) = K(x * y,T(y,x * z)). K(x * y,T(y,x * z)) = K(x * y,T(y,z)). K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. (x * K(y,z)) * R(K(z,u),w,v5) = K(y,z) * (T(x,K(y,z)) * R(K(z,u),w,v5)). K(x,y) * (T(z,K(x,y)) * R(K(y,u),w,v5)) = (z * K(x,y)) * R(K(y,u),w,v5). K(x,y \ (x \ ((y * L(y \ z,u,w)) * x))) = K(x,L(L(x \ (y \ (z * x)),u,w),x,y)). K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ (x \ ((y * L(y \ z,u,w)) * x))). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). x != K(y,z * K(u,y)) | x = K(y,z). K(x,R(y,K(z,x),u)) = K(x,y). K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). K(x * K(y,z),z) = K(R(x,K(y,z),u),z). K(R(x,K(y,z),u),z) = K(x * K(y,z),z). x != K(y * K(z,u),u) | x = K(y,u). K(R(x,K(y,z),u),z) = K(x,z). K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). K(L(x,K(y,z),u),y) != w | K(x,y) = w. K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. K(x,T(y,z)) != u | T(K(x,y),z) = u. K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. K(x,y / z) != u | T(K(x,z \ y),z) = u. K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. K(x,T(y,z * (u * K(w,x)))) = K(x,T(y,z * u)). T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. K(x \ (y * z),z) != u | K((x / z) \ y,z) = u. K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. L(K(x,y),z,T(x,u)) = K(x,y). K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). x != K(y,T(z \ u,u)) | x = K(y,u / z). K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). x != K(y,T(z \ (y * u),u)) | x = K(y,(z / u) \ y). K(x,y / (x \ z)) = K(x,(z / y) \ x). x != K(y,T(z \ (y * u),u)) | x = K(y,(y * u) / z). K(x,y / (x \ z)) = K(x,(x * y) / z). K(x,(x * y) / z) = K(x,y / (x \ z)). K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. x != K(y,z / (y \ u)) | x = K(y,(z * y) / u). K(x,(y / z) \ x) = K(x,(z * x) / y). K(x,(y * x) / z) = K(x,(z / y) \ x). K(x,y / z) = K(x,((x * z) / y) \ x). K(x,((x * y) / z) \ x) = K(x,z / y). R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). K(x,(x * y) / z) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,(x * y) / z). K(x,y / z) = K(x,(x \ y) / (x \ z)). K(x,(x \ y) / (x \ z)) = K(x,y / z). K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u. T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). x != K(y,(z * y) / u) | x = K(y,T(u \ (z * y),z)). K(x,(y / z) \ x) = K(x,T(y \ (z * x),z)). K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). T(x,(y * x) / z) = x * K(x,(x * y) / z). x * K(x,(x * y) / z) = T(x,(y * x) / z). K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. K(x,(x \ y) / (z / x)) = K(x,y / z). K(x,(x \ y) / z) = K(x,y / (z * x)). x != K(y,(y \ z) / (y \ u)) | x = K(y,z / u). K(x,y / ((x \ z) * x)) = K(x,y / z). K(x,y / (z * x)) = K(x,y / (x * z)). x != K(y,z / (y * (u * z))) | x = K(y,u \ (y \ 1)). K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). K(x,(y * z) / (z * x)) = K(x,R(y / x,x,z)). K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). K(x,y / (z * x)) = K(x,(z / y) \ (x \ 1)). K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. x != K(y,R(z / y,u,w)) | x = K(y,R(y \ z,u,w)). K(x,(y * z) / (z * x)) = K(x,R(x \ y,x,z)). K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)). T(K(x,y) * (z * K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * z). R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). K(x,y / z) * K(z \ y,u) = K(z \ y,u) * K(x,y / z). K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. x != y \ (z * K(u,T(y,z))) | x = T(y,u) \ z. T(x / T(y,T(z,x)),y) = T(y,z) \ x. T(x / T(y,z),y) = T(y,T(z,x)) \ x. K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. L(K(x,y),z,T(y,u)) = K(x,y). K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). x * T(x \ K(y,z),y) = K(y,z) * K(x \ 1,y). K(x,y) * K(z \ 1,x) = z * T(z \ K(x,y),x). K(x,(y * z) \ u) = K(x,((y * K(w,x)) * z) \ u). K(x,((y * K(z,x)) * u) \ w) = K(x,(y * u) \ w). K(x,(K(x,y) * z) \ u) = K(x,z \ u). K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). x != K(y,(K(z,u) * w) \ T(z,u)) | x = K(y,w \ z). K(x,y \ T(x,z)) = K(x,y \ x). K(x,a(K(x,y),z,u)) = K(x,(z * u) \ ((K(x,y) * z) * u)). K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). x != K(y,T(z,u) \ T(y,u)) | x = K(y,T(z \ y,u)). K(x,T(y,z) \ x) = K(x,T(y \ x,z)). K(x / y,z \ (y \ x)) = K(x / y,z \ (x / y)). K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). x != K(y,T(z,K(u,u \ y))) | x = K(y,z). K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). x != K(y,T((z \ u) \ 1,u) \ y) | x = K(y,z \ ((((z \ u) \ 1) \ z) * y)). K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). K(x,y \ (x \ z)) = K(x,y \ (T(x,u) \ z)). K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). K(x,y \ (z * u)) = K(x,y \ ((z * K(w,x)) * u)). K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). T(x,(K(x,y) * z) \ u) = T(x,z \ u). T(x,y \ z) = T(x,(K(u,x) * y) \ z). T(x,(K(y,x) * z) \ u) = T(x,z \ u). x != T(y,(z * u) \ z) | x = T(y,u \ 1). T(x,y \ K(x,z)) = T(x,y \ 1). (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). x != T(y,(K(z,y) * u) \ w) | x = T(y,u \ w). T(x,y \ z) = T(x,y \ (K(u,x) * z)). T(x,y \ (K(z,x) * u)) = T(x,y \ u). T(x,y \ x) = T(x,y \ T(x,z)). T(x,y \ T(x,z)) = T(x,y \ x). T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). x != T(y,T(z,u) \ T(y,u)) | x = T(y,T(z \ y,u)). T(x,T(y,z) \ x) = T(x,T(y \ x,z)). T(x,y) = T(x,(T(x,z) / y) \ x). T(x,(T(x,y) / z) \ x) = T(x,z). x != 1 / (y \ K(z,y)) | x = T(y,z). T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). T(x,x \ (y \ 1)) = T(x,(x * y) \ 1). T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)) = T(x,L(x * (y \ z),x \ 1,y) \ 1). T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). x != T(y,(y * z) \ u) | x = T(y,z \ (y \ u)). T(x,x \ (y \ 1)) = T(x,y \ (x \ 1)). T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). T(T(x,y) * z,x) = T(x,y) * (x \ T(x * z,x)). T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). K(L(K(x,y),z,u),w) = L(K(x,K(y,w)),z,u). L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). x * K(y,K(z,u)) = (x * K(z,y)) * T(K(y,z),u). (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). x != R(y,K(z,u),T(w,K(z,v5))) | x = R(y,K(z,u),w). R(x,T(K(y,z),u),u) = R(x,K(y,z),u). T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. x != T(T(y * K(z,y),u),z) | x = T(y,u). x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). x != T(y,z \ K(u,z \ 1)) | x = T(y,K(u,z \ 1) / z). x * K(T(x,y),z \ 1) = T(x,K(y,z \ 1) / z). T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). T(K(x,y),K(z,y) \ u) = T(K(x,y),u). x != K(y,K(z,u)) * K(y,z) | x = T(K(y,z),u). T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). K(x,y) * K(y,K(z / (x * u),x)) = K(x,T(y,T((x * u) \ z,u))). K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(y,K(u / (x * z),x)). x != K((y / (y / z)) \ 1,u) | x = K(z \ 1,T(u,y)). K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). K(x,T(T(x * y,z),u)) = K(x,T(T(T(x,w) * y,z),u)). K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(x * z,u),w)). K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). x != L(K(y,K(z,u)),w,v5) | x = K(y,K(u,L(z,w,v5))). K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). x != L(K(y,K(z,u)),w,v5) | x = K(y,K(z,L(u,w,v5))). K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). x != L(K(y,K(z,u)),w,v5) | x = K(L(K(y,z),w,v5),u). K(x,K(y,L(z,u,w))) = K(L(K(z,x),u,w),y). K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. T(x,L((y * z) / y,u,w)) = T(x,L(T(z,y),u,w)). T(x,L(y * K(z,y),u,w)) = T(x,L(T(y,z),u,w)). T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). x != (y * T(z,u)) / T(y,z) | x = T(z,T(u,y)). T(x,T(y * K(x,z),u)) = T(x,T(y,u)). T(x,T(y / (x \ z),u)) = T(x,T(y / (z / x),u)). T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). x != K(y,T(z,u \ y)) | x = K(y,T(z,u)). K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). x * y != K(z \ (u \ x),u) * x | y = K(x / (u * z),u). K((x \ y) / z,x) = K(y / (x * z),x). x != K(y,T(T(z,u),u * y)) | x = K(L(y,w,y),z). K(T(x * y,y) / x,z) = K(L(y,u,y),z). K(L(x,y,x),z) = K(T(u * x,x) / u,z). K(x,y) = K(T(z * x,x) / z,y). K(T(x * y,y) / x,z) = K(y,z). K(T(x,y \ x) / y,z) = K(y \ x,z). K(x \ T(y,x \ y),x) = K(x \ y,x). K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K((T(x,y) / z) \ x,T(x,y) / z). x * (K(y,x) / T(x,z)) = T(x,z) \ ((x \ 1) \ K(y,x)). T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). K(x \ T(y,z),y) = K(x \ y,y). K(x \ y,z) = K(x \ (K(u,z) * y),z). K(x \ (K(y,z) * u),z) = K(x \ u,z). K(x \ (y \ z),y \ z) = K(x \ (z / y),y \ z). K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). K(x \ (y \ z),y) = K(x \ (T(y,u) \ z),y). K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). x != K(T(y,z) \ T(u,z),u) | x = K(y \ u,T(u,z)). K(T(x,y) \ z,z) = K(x \ z,T(z,y)). K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). K(L(x \ 1,x,y) \ z,z) = K(((y * x) \ y) \ z,T(z,K(x,u))). K(((x * y) \ x) \ z,T(z,K(y,u))) = K(L(y \ 1,y,x) \ z,z). K(a(x,y,T(z,y)),y) = K((x * (z * y)) \ ((x * y) * z),y). K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). x != K(y,z \ (T(y,u) \ w)) | x = K(y,z \ (y \ w)). K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). T(x,y / (x \ z)) = T(x,(z / y) \ x). x != T(y,z / (y \ u)) | x = T(y,(z * y) / u). T(x,(y / z) \ x) = T(x,(z * x) / y). T(x,(y * x) / z) = T(x,(z / y) \ x). R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. K(x,R(T(y,z),u,w)) = K(x,R(T(y,x * z),u,w)). K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). x != K(y \ (T(z,u) \ w),z) | x = K(y \ (z \ w),z). K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). K(x,L(x,y,y \ 1) \ z) = K(x,((1 / y) * y) \ (x \ z)). K(x,((1 / y) * y) \ (x \ z)) = K(x,L(x,y,y \ 1) \ z). K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). x != K(y / z,u \ (y / z)) | x = K(z \ y,(u * z) \ y). K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). K(x,y \ (z * u)) = K(x,y \ ((z * K(x,w)) * u)). K(x,y \ ((z * K(x,u)) * w)) = K(x,y \ (z * w)). L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). T(x,y) * L(x \ T(z,x),u,w) = T(T(x,y) * L(x \ z,u,w),x). T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). T(x,y) * R(x \ T(z,x),u,w) = T(T(x,y) * R(x \ z,u,w),x). T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). R(K(x,y),z,u) * w != T(R(K(x,y),z,u),v5) * v5 | T(v5,R(K(x,y),z,u)) = w. T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). x * y != T(x,z) | y = K(x,z). K(L(K(x,y),z,u),w) = K(w,L(K(x,y),z,u)). x != K(L(K(y,z),u,w),v5) | x = K(v5,K(z,L(y,u,w))). K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). x != K(y,K(z,L(u,w,v5))) | x = K(y,K(u,L(z,w,v5))). K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,u * z,w))). K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). K(x,K(y,z \ 1) / z) = K(T(x,((z \ 1) / ((1 / (z \ 1)) \ y)) \ 1),z \ 1). K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). x != T(K(y,z),K(u,z) \ w) | x = T(K(y,z),w). T(K(x,y),z / K(u,y)) = T(K(x,y),z). T(K(x,y),z * K(y,u)) = T(K(x,y),z). R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). T(x,R(y / (y / z),u,w)) = T(x,R(T(z,z \ y),u,w)). T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). x != T(y,T(z / (u / y),w)) | x = T(y,T((z * y) / u,w)). T(x,T(y / (x \ z),u)) = T(x,T((y * x) / z,u)). T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). K(x \ (y * z),T(y,u)) = K(x \ (z * y),T(y,u)). K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). R(K(x,T(y,z)),u,w) = K(x,R(T(y,z),y \ u,w)). K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). K(x,y \ (((z / x) * u) * w)) = K(x,y \ (((x \ z) * u) * w)). x != K(y,K(z,L(u,w,v5))) | x = K(u,K(z,L(y,w,v5))). K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u * z,w))). K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). x != K(y \ (z * u),T(u,w)) | x = K((z \ y) \ u,T(u,w)). K(x \ (y * z),T(y,u)) = K((z \ x) \ y,T(y,u)). K((x \ y) \ z,T(z,u)) = K(y \ (z * x),T(z,u)). K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). x != K(y \ (z * u),T(z,u)) | x = K((y / u) \ z,z). K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). K(x \ y,T(y,z)) = K(((z * x) / z) \ y,y). K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). x != K(((y * z) / y) \ u,u) | x = K(u * (z \ K(z,y)),u). K(x \ y,T(y,z)) = K(y * (x \ K(x,z)),y). K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). x * y != (z * (K(u,w) * v5)) * L(K(w,T(u,v5)),v5,z) | (z * v5) / y = x. (x * y) / (x * (K(z,u) * y)) = L(T(K(u,T(z,y)),x * (K(z,u) * y)),y,x). L(T(K(x,T(y,z)),u * (K(y,x) * z)),z,u) = (u * z) / (u * (K(y,x) * z)). K(x,T(y,L(y,z,u) * (y \ w))) = L(K(x,T(y,w)),w,L(y,z,u)). L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). x != K(y,L(T(z,y),u,w)) | x = K(y,L(z,u,w)). K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). x != K(y,z) * K(y * z,y) | x = y \ R(y,z,y). T(x \ R(x,y,x),y) = x \ R(x,y,x). (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). (T(x * y,x) / x) / y = x \ R(x,y,x). K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u. x != K(y * K(z,y),u) | x = K(y,T(u,z)). K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). x * y != T(z,u) * K(u * L(z,w,v5),z) | x \ R(z,u,L(z,w,v5)) = y. x \ R(x,y,L(x,z,u)) = K(y * L(x,z,u),x) * K(x,y). K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). x * y != T(z,u) * K(u * R(z,w,v5),z) | x \ R(z,u,R(z,w,v5)) = y. x \ R(x,y,R(x,z,u)) = K(y * R(x,z,u),x) * K(x,y). K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). x \ R(x,y,R(x,z,u)) = K(x,y) * K(y * R(x,z,u),x). K(x,y) * K(y * R(x,z,u),x) = x \ R(x,y,R(x,z,u)). R(x,y,R(x,z,u)) * w = T(x,y) * (K(y * R(x,z,u),x) * w). T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. K(x,R(T(y,z),x,z)) = K(x,z \ (x \ ((x * y) * z))). K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. x != K(y,(z * (y / z)) \ u) | x = K(y,y \ u). K(x,K(y \ x,y) * z) = K(x,x \ (x * z)). K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). K(x,y) = K(x,K(z \ x,z) * y). K(x,K(y \ x,y) * z) = K(x,z). x != K(y,K(z \ y,z) * u) | x = K(y,u * K(z \ y,z)). K(x,y) = K(x,y * K(z \ x,z)). K(x,y * K(z \ x,z)) = K(x,y). K(x * y,K(y,x) * z) = K(x * y,z). K(x,(y \ x) * z) = K(x,(x / y) * z). K(x,(x / y) * z) = K(x,(y \ x) * z). K(x,y \ z) = K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)). K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)) = K(x,y \ z). T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. x != K((y * (z / y)) \ u,z) | x = K(z \ u,z). K(K(x \ y,x) * z,y) = K(y \ (y * z),y). K(x \ (x * y),x) = K(K(z \ x,z) * y,x). K(K(x \ y,x) * z,y) = K(z,y). T(K(x \ y,x) * z,y) = (K(x \ y,x) * z) * K(z,y). (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). x != K(y,R(T(y,z),u,w) \ v5) | x = K(y,R(y,u,w) \ v5). K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). K(R(x,y,z),T(u,w)) = K(R(x,y,z),T(u,x * w)). K(R(x,y,z),T(u,x * w)) = K(R(x,y,z),T(u,w)). K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. (x * y) * R(x,z,u) = K(x,y) * ((y * x) * R(x,z,u)). K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). K(x,y / (z / R(x,u,w))) = K(x,(y * R(x,u,w)) / z). K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). T(R(x,y,R(x,z,u)),w) = K(x,w) * R(x,y,R(x,z,u)). K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). (K(x,y) / R(x,z,R(x,u,w))) \ 1 = R(x,z,R(x,u,w)) * K(y,R(x,z,R(x,u,w))). R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. R(K(x,y),z,L(x,u,w)) = K(x,y). K(x,y) = K(R(x,z,L(x,u,w)),y). K(R(x,y,L(x,z,u)),w) = K(x,w). x != K(R(T(y,z),u,w),T(v5,z)) | x = K(R(y,u,w),v5). K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). L(K(x,y),z,L(y,u,w)) = K(x,y). K(x,y) = K(L(x,z,L(y,u,w)),y). K(L(x,y,L(z,u,w)),z) = K(x,z). K(x,y) = K(x,L(y,z,L(y,u,w))). K(x,L(y,z,L(y,u,w))) = K(x,y). K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). x * y != K(z,K(u,w)) * x | y = K(z,K(u,T(w,x))). K(x,K(y,T(z,u))) = K(x,K(y,T(z,x * u))). K(x,K(y,T(z,x * u))) = K(x,K(y,T(z,u))). K(x,K(y,T(z,u))) = K(x,K(y,T(z,x \ u))). K(x,K(y,T(z,x \ u))) = K(x,K(y,T(z,u))). x != K(y * (z / R(u,w,u)),u) | x = K(y * (z / T(u,w)),u). K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). x != K(y * (z / T(y,u)),y) | x = K(z,y). K(x * (R(x,y,x) \ z),x) = K(z,x). K(x * y,x) = K(R(x,z,x) * y,x). K(R(x,y,x) * z,x) = K(x * z,x). x != K(R(y,z,u) * w,y) | x = K(w * R(y,z,u),y). K(x * y,x) = K(y * R(x,z,x),x). K(x * R(y,z,y),y) = K(y * x,y). T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). T(x,y * R(x,z,x)) = T(x,x * y). T(x,y * R(x,z,x)) = x * K(x,x * y). K(x,y * R(x,z,x)) = K(x,x * y). x != K(y,z * R(y,u,w)) | x = K(y,R(y,u,w) * z). K(x,x * y) = K(x,R(x,z,x) * y). K(x,R(x,y,x) * z) = K(x,x * z). x != K(y,z) | x = K(R(y,u,y),z). K(x,x * y) = K(R(x,z,x),R(x,u,x) * y). K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). K(R(K(x,y),z,u),w) = R(K(x,K(y,w)),z,u). R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). K(x,R(K(y,z),u,w)) = K(R(K(y,x),u,w),z). K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). x != K(R(K(y,z),u,w),v5) | x = R(K(y,K(z,v5)),u,w). K(x,R(K(y,z),u,w)) = R(K(y,K(x,z)),u,w). R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). R(K(x,K(y,z)),y,u) = K(x,K(y,z)). T(x,R(K(y,z),u,w)) = x * R(K(x,K(y,z)),u,w). x * R(K(x,K(y,z)),u,w) = T(x,R(K(y,z),u,w)). K(x,T(y,T(z,u))) = K(x,T(y,T(y * z,u))). K(x,T(y,T(y * z,u))) = K(x,T(y,T(z,u))). x != K(y,T(z,T(y,u))) | x = K(y,z). K(x,T(y,T(y * x,z))) = K(x,y). K(x \ y,T(x,T(y,z))) = K(x \ y,x). K((1 / (T(x,y) \ z)) \ x,T(1 / (T(x,y) \ z),T(T(x,y),z))) = K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)). x != K(T(y,z),R(T(u,z),w,v5)) | x = K(y,R(u,w,v5)). R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). R(K(x,y),z,u) = K(x,R(y,T(y,w) \ z,u)). K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). x != K(y,R(z,T(z,u) \ w,v5)) | x = R(K(y,z),K(u,z) * w,v5). R(K(x,y),z,u) = R(K(x,y),K(w,y) * z,u). R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). R(K(x,y),z,u) = R(K(x,y),K(y,w) * z,u). R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). x != K(T(y,z),L(T(u,z),w,v5)) | x = K(y,L(u,w,v5)). L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). x != L(K(y,z),u * T(z,w),v5) | x = K(y,L(z,u * K(z,w),v5)). K(x,L(y,z,u)) = K(x,L(y,z * K(y,w),u)). K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). L(K(x,y),y * z,u) = K(x,L(y,z,u)). K(x,L(y,x,z)) = K(L(x,y,z),y). K(L(x,y,z),y) = K(x,L(y,x,z)). K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). R(K(x,y),z,u) = L(R(K(x,y),z,u),K(w,x),v5). L(R(K(x,y),z,u),K(w,x),v5) = R(K(x,y),z,u). L(K(x,y),z,u) = L(L(K(x,y),z,u),K(w,x),v5). L(L(K(x,y),z,u),K(w,x),v5) = L(K(x,y),z,u). (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). x * R(K(y,z),u,w) = (x * K(y,v5)) * (K(v5,y) * R(K(y,z),u,w)). (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). x * L(K(y,z),u,w) = (x * K(y,v5)) * (K(v5,y) * L(K(y,z),u,w)). (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). x != (y * K(z,u)) * K(u,w) | x = (y * K(u,w)) * K(z,u). x * (K(y,z) * K(z,u)) = (x * K(z,u)) * K(y,z). (x * K(y,z)) * K(u,y) = x * (K(u,y) * K(y,z)). x != (y * K(z,u)) * K(u,u * z) | x = (y / R(u,z,u)) * u. x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). x != R(y,K(z,u),K(u,w)) | x = R(y,K(u,w),K(z,u)). x = R(x,K(y,z),K(u,y)). R(x,K(y,z),K(u,y)) = x. R(x,T(K(y,z),u),K(z,w)) = x. (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). x * (K(y,z) * K(u,y)) = (x * K(y,z)) * K(u,y). (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). (x * K(y,z)) \ ((K(z,u) * K(y,z)) * (x / K(z,u))) = K(K(z,u) * K(y,z),R(x / K(z,u),K(z,u),K(y,z))). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u / K(x,y))). (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). R(x,T(K(y,z),u),T(K(z,w),v5)) = x. x * (L(K(y,z),u,w) * K(z,v5)) = (x * L(K(y,z),u,w)) * K(z,v5). (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),K(u,y) * x). T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). x != (y * z) \ (z * T(y,y \ z)) | x = a(y,z / y,y). K(x,y) * K(y,y \ x) = a(y,x / y,y). (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),w). (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. x != K(y,z) * K(z,z \ y) | x = z \ R(z,z \ y,z). a(x,y / x,x) = x \ R(x,x \ y,x). x \ R(x,x \ y,x) = a(x,y / x,x). a(x,y / x,x) \ K(y,x) = K(x \ y,x). a(x,y / x,x) * K(x,y) = K(x,x \ y). x \ R(x,y,x) = a(x,(x * y) / x,x). a(x,(x * y) / x,x) = x \ R(x,y,x). a(x,y,x) = x \ R(x,T(y,x),x). x \ R(x,T(y,x),x) = a(x,y,x). x \ R(x,y,x) = a(x,y,x). K(x,y) * K(x * y,x) = a(x,y,x). K(x * y,x) * K(x,y) = a(x,y,x). x != y \ R(y,z,y) | x = T(y,u) \ R(T(y,u),z,y). a(x,y,x) = T(x,z) \ R(T(x,z),y,x). T(x,y) \ R(T(x,y),z,x) = a(x,z,x). x != y \ R(y,(z \ u) \ 1,y) | x = K(y,u \ z) * K(u \ (z * y),y). a(x,(y \ z) \ 1,x) = K(x,z \ y) * K(z \ (y * x),x). K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x). x != y \ R(y,y \ z,y) | x = K(z,y) * K(y,y \ z). a(x,x \ y,x) = K(y,x) * K(x,x \ y). K(x,y) * K(y,y \ x) = a(y,y \ x,y). x * a(x,y,x) = R(x,y,x). a(x,y,x) * x = R(x,y,x). x \ R(x,y \ 1,x) = a(x,x \ (y \ x),x). a(x,x \ (y \ x),x) = x \ R(x,y \ 1,x). a(x,y,x) \ K(x * y,x) = K(y,x). x * a(y,x,y) = T(y * x,y) / y. T(x * y,x) / x = y * a(x,y,x). K(x,T(y,z)) * a(y,u,y) = T(y,T(x,z)) \ R(y,u,y). T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). x \ R(x,y,x) != z | z = a(x,y,x). x \ R(x,y,x) != z | a(x,y,x) = z. K(x,y) * a(y,x,y) = K(y * x,y). K(x,x * y) * a(x,y,x) = K(x,y). a(x,y,x) * (y * x) = T(x * y,x). (x * y) * a(y,x,y) = T(y * x,y). a(x,y,x) * K(y,x) = K(x * y,x). a(x,y \ 1,x) \ K(y \ x,x) = K(y \ 1,x). x != T(y * R(z,u,w),y) / y | x = R(T(y * z,y) / y,u,w). R(x,y,z) * a(u,R(x,y,z),u) = R(T(u * x,u) / u,y,z). R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). T(x * a(y,x,y),y) = y \ T(y * x,y). (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. K(x,y) * K(x * y,x) != z | a(x,y,x) = z. K(x,y) * a(x,x \ y,x) = K(x,x \ y). L(a(x,y,x),K(x,x * y),z) = (z * K(x,x * y)) \ (z * K(x,y)). R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). x != K(y * z,y) | x = K(z * y,y). a(x,y,x) * K(y,x) = K(y * x,x). (R(a(x,y,x),K(y,x),z * u) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). a(x,y,x) * T(x,z) = R(T(x,z),y,x). T(x,y) \ ((x \ y) \ y) = a(x,x \ y,x). a(x,x \ y,x) = T(x,y) \ ((x \ y) \ y). x != y \ R(y,z,y) | x = a(y,z,y). a(x,x \ (y \ x),x) = a(x,y \ 1,x). x != a(y,y \ z,y) | x = T(y,z) \ ((y \ z) \ z). a(x,y \ 1,x) = T(x,y \ x) \ ((x \ (y \ x)) \ (y \ x)). T(x,y \ x) \ ((x \ (y \ x)) \ (y \ x)) = a(x,y \ 1,x). (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). K(x,y) * z != u * (K(x,y) * K(w,x)) | T(u * K(w,x),K(x,y)) = z. T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). (x / T(y,z)) * K(y,u) = (x / y) * (K(y,u) * K(z,y)). (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). L(K(x,y),K(y,z),u) = K(x,y). ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). x * K(y,z) = (x * K(u,z)) * (K(z,u) * K(y,z)). (x * K(y,z)) * (K(z,y) * K(u,z)) = x * K(u,z). L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). (x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))). x * K(y,z) != u * K(w,z) | x = u * (K(w,z) * K(z,y)). x = (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)). (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. ((x * K(y,z)) / (x * K(u,z))) \ 1 = (K(z,u) * K(y,z)) \ K(K(z,u) * K(y,z),x * K(u,z)). x * (K(y,z) * K(z,u)) = x / (K(z,y) * K(u,z)). x / (K(y,z) * K(u,y)) = x * (K(z,y) * K(y,u)). (x * (K(y,z) * K(u,y))) \ x = K(z,y) * K(y,u). x != (x * (K(y,z) * K(u,y))) * w | K(z,y) * K(y,u) = w. (x * (K(y,z) * K(u,y))) * w != x | K(z,y) * K(y,u) = w. x / (K(y,z) * K(z,u)) != w | w = x * (K(z,y) * K(u,z)). x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)). (x * (K(y,z) * K(u,y))) \ x = K(y,u) * K(z,y). x / T((1 * (K(y,z) * K(u,y))) * x,K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. x * (y \ L(y,z,y)) = (x / R(y,z,y)) * y. (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). R(x,y,x) \ x = x \ L(x,y,x). 1 * x != (1 / R(y,z,u)) * y | x = y / R(y,z,u). x \ L(x,y,x) = x / R(x,y,x). x / R(x,y,x) = x \ L(x,y,x). x * y != R(z,u,z) \ z | x \ (z \ L(z,u,z)) = y. x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). x != K(y \ (K(z,u) * w),T(z,v5)) | x = K(y \ w,T(z,v5)). K((K(x,y) * z) / u,x) = K(u \ z,T(x,z)). K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). K(x / y,z) = K((K(z,u) * x) / y,z). K((K(x,y) * z) / u,x) = K(z / u,x). (x * K(y / z,u)) \ x = K(u,(K(u,w) * y) / z). K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. K(x,(K(x,y) * z) / u) = K(x,z / u). K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). x != K(y,(z * y) / u) | x = K(y,z / (y \ u)). K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). x != K((y * K(z,u)) \ w,T(z,v5)) | x = K(y \ w,T(z,v5)). K(x / (y * K(z,u)),z) = K(y \ x,T(z,y)). K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). K(x / y,z) = K(x / (y * K(z,u)),z). K(x / (y * K(z,u)),z) = K(x / y,z). K(x / (y * z),u) = K(x / ((y * K(w,u)) * z),u). K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). K(x / (y * z),u) = K(x / ((K(u,w) * y) * z),u). K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). x != K(T(y,z),(u * K(w,y)) \ v5) | x = K(T(y,z),u \ v5). K(x,y / (z * K(u,x))) = K(T(x,z),z \ y). K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). x != K(T(y,z),z \ u) | x = K(y,u / z). K(x,y / (z * K(u,x))) = K(x,y / z). K(x,y / (z * T(u,x))) = K(x,y / (z * u)). K(x,y / z) = K(x,y / (z * K(x,u))). K(x,y / (z * K(x,u))) = K(x,y / z). K(x,y / (z * u)) = K(x,y / ((z * K(w,x)) * u)). K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). K(x,y / (z * u)) = K(x,y / ((K(x,w) * z) * u)). K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,(((y * K(z,x)) * u) * w) / (u * w)). ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). T(K(x,y),T(z,u)) = T(K(x,y),T(z,x \ u)). T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). T(K(x,y),T(z,u)) = T(K(x,y),T(z,x * u)). T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). K(x,y) / T(y,z) = 1 / (K(y,x) * T(y,z)). 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)). x != T(y,T(z,u)) | x = (u * T(y,z)) / T(u,y). (x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) / T(K(y,z),x). (K(x,y) * T(z,u)) / T(K(x,y),z) = (z * (K(x,y) * K(z,u))) * K(y,x). T(x,K(y,z)) * K(u,y) = T(x * K(u,y),K(y,z)). T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). K(x,y) * T(z,K(x,u)) = T(K(x,y) * z,K(x,u)). T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). T(T(x,K(y,z)),K(y,u)) = K(y,K(x,z)) * T(x,K(y,u)). K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). T(x,K(y,z)) * K(y,u) = T(x * K(y,u),K(y,z)). T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). K(x,y) * T(z,K(y,u)) = T(K(x,y) * z,K(y,u)). T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). T(x,T(y \ x,z)) = T(x,T(x * (y \ 1),z)). T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). x != K(K(R(y,z,u),w) * v5,T(y,v6)) | x = K(v5,T(y,v6)). K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). x != K(R(y,z,u),T(w,y \ v5)) | x = K(R(y,z,u),T(w,v5)). K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). K((x * y) / ((x / z) * y),u) = K(R(z,x / z,y),T(u,x)). K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). x * K(x,(y \ x) \ z) = T(x,(y \ 1) \ (x \ z)). T(x,(y \ 1) \ (x \ z)) = x * K(x,(y \ x) \ z). K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). K(x,(y \ 1) \ z) = K(x,(y \ x) \ (x * z)). K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). K(x,(y \ 1) \ z) = K(x,(y \ x) \ (z * x)). K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). ((x * y) * z) \ ((y * x) * z) = K(y,z \ (y \ ((y * x) * z))). K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). T(x,(y \ z) \ (x \ 1)) = 1 / (x \ K(z \ (x \ y),x)). 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). x != K(y,K(z,u)) | x = K(u,K(y,z)). K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). x != K(y,T(z,u)) | x = K(T(y,u),z). K(x,T(y \ T(T(x,z),u),w)) = K(T(x,w),y \ T(x,u)). x != K(y,T(z \ T(y,u),w)) | x = K(y,T(z \ y,w)). K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). (x * y) * (K(y,x) * z) = (K(y,x) * z) * T(x * y,z). (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). K(x \ y,x) * T(z,y) = T(K(x \ y,x) * z,y). T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). K(T(x,y),R(z,u,w)) = K(T(x,z \ y),R(z,u,w)). K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). x != K(y,z / (u / R(y,w,v5))) | x = K(y,z / (R(y,w,v5) \ u)). K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). x != K(y,K(z,u \ 1)) | x = K(y,K(z,u)). R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). R(K(x,K(y,z)),u,w) = K(x,K(z,R(y,u,w))). R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). x != R(K(y,K(z,u)),w,v5) | x = K(y,R(K(z,u),w,v5)). K(x,K(y,R(z,u,w))) = K(x,R(K(z,y),u,w)). K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). x != R(K(y,K(z,u)),z,w) | x = K(y,K(z,u)). K(x,K(y,R(z,y,u))) = K(x,K(y,z)). K(x,K(y,R(z,u,w))) = K(x,R(K(y,z),u,w)). K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). T(x,K(y,R(z,u,w))) = x * R(K(x,K(y,z)),u,w). x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). K(x,K(y,(z * u) / (R(z,w,v5) * u))) = K(x,K(R(z,w,v5) \ z,R(y,z,u))). K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). x != y * R(K(y,K(z,u)),w,v5) | x = T(y,R(K(z,u),w,v5)). T(x,K(y,R(z,u,w))) = T(x,R(K(y,z),u,w)). T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). x != K(y,L(z,K(z,u) * w,v5)) | x = K(y,L(z,w,v5)). L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). L(K(x,L(y,x,z)),T(y,u) * w,v5) = K(L(x,y,z),L(y,w,v5)). K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. K(T(x,y),y \ z) != u | K(x,z / y) = u. K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. K(x,T(y \ z,y)) != u | K(x,z / y) = u. K(x,T(y \ z,z)) != u | K(x,z / y) = u. K(x / y,T(z,y)) != u | K(y \ x,z) = u. K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. x != (y / T(z,z * u)) * K(z,u) | x = y / L(z,u,z). (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). (x / y) * a(y,z,y) = x / L(y,z,y). (1 / x) * y != 1 / L(x,z,u) | y = L(x,z,u) \ x. a(x,y,x) = L(x,y,x) \ x. L(x,y,x) \ x = a(x,y,x). x * a(y,z,y) = (x * y) / L(y,z,y). (x * y) / L(y,z,y) = x * a(y,z,y). x != a(y,z,y) | x = y \ R(y,z,y). L(x,y,x) \ x = x \ R(x,y,x). x * y != L(z,u,z) \ z | x \ a(z,u,z) = y. x \ a(x,y,x) = L(x,y,x) \ 1. L(x,y,x) \ 1 = x \ a(x,y,x). a(x,y,x) \ x = L(x,y,x). x != L(y,z,u) \ y | x = (y \ L(y,z,u)) \ 1. x \ R(x,y,x) = (x \ L(x,y,x)) \ 1. (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). x != (y * z) / L(z,u,w) | x = (y / L(z,u,w)) * z. x * a(y,z,y) = (x / L(y,z,y)) * y. (x / L(y,z,y)) * y = x * a(y,z,y). (x * a(y,z,y)) \ (x * y) = L(y,z,y). x != (y / L(z,u,z)) * z | x = z * (L(z,u,z) \ y). x * a(y,z,y) = y * (L(y,z,y) \ x). x * (L(x,y,x) \ z) = z * a(x,y,x). x * y = (x * L(y,z,y)) * a(y,z,y). (x * L(y,z,y)) * a(y,z,y) = x * y. ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). x != y * (L(y,z,y) \ u) | x = T(y,w) * (L(T(y,w),z,y) \ u). x * a(y,z,y) = T(y,u) * (L(T(y,u),z,y) \ x). T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). x != y * (L(y,z,u) \ w) | x = L(y,z,u) \ (y * w). x * a(y,z,y) = L(y,z,y) \ (y * x). L(x,y,x) \ (x * z) = z * a(x,y,x). K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z). L(x,y,x) * (z * a(x,y,x)) = x * z. L(x,y,x) * z = x * (z / a(x,y,x)). x * (y / a(x,z,x)) = L(x,z,x) * y. x * y != L(x,z,u) * w | y = L(x,z,u) * (x \ w). x / a(y,z,y) = L(y,z,y) * (y \ x). L(x,y,x) * (x \ z) = z / a(x,y,x). x * y != L(z,u,z) * (z \ w) | x \ (w / a(z,u,z)) = y. (x / y) \ (x / a(y,z,y)) = L(y,z,y). T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. K(x,K(y,z \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x). T(x,y \ (x \ z)) = T(x,(z \ y) \ (x \ 1)). T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). x != T(y,z \ (y \ u)) | x = T(y,(y * z) \ u). T(x,y \ (x \ z)) = T(x,(x * (z \ y)) \ 1). T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). x * y != K(z,u) * R(z,w,R(z,v5,v6)) | x \ R(T(z,u),w,R(z,v5,v6)) = y. x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * (x \ R(x,z,R(x,u,w))). K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). (x * R(T(y,x),z,R(y,u,w))) * y = K(y,x) * ((x * R(y,z,R(y,u,w))) * y). K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). ((x * y) / x) / ((x * (y * K(z / (u * w),y))) / x) = K(y,T(z / ((K(y,v5) * u) * w),x)). K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). T(x,x * y) * K(y,x) = L(x,T(y,K(x,z)),x). L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x). x != T(y,y * z) * K(z,y) | x = L(y,z,y). L(x,T(y,K(x,z)),x) = L(x,y,x). x != L(y,T(z,K(y,u)),y) | x = L(y,T(z,T(y,u)),y). L(x,y,x) = L(x,T(y,T(x,z)),x). L(x,T(y,T(x,z)),x) = L(x,y,x). L(x,T(x,y) \ z,x) = L(x,z / T(x,y),x). L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). x != K(y,z) * K(z * y,y) | x = y \ R(y,z,y). x \ R(x,y * K(x,z),x) = x \ R(x,y,x). a(x,y * K(x,z),x) = x \ R(x,y,x). a(x,y * K(x,z),x) != u | a(x,y,x) = u. x != T(y,(z * (1 / u)) \ w) | x = T(y,(z * (u \ 1)) \ w). T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). (x * (K(y,z) * u)) / (x * u) = L(K(y,T(T(z,u),x * u)),u,x). L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). K(x,K(y,z)) * (K(z,x) * u) != w | K(z,T(x,y)) * u = w. K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). x != K(y,R(T(K(y,z),u),w,v5)) | x = 1. K(x,a(K(x,y),z,u)) = 1. T(x,a(K(x,y),z,u)) = x. T(a(K(x,y),z,u),x) = a(K(x,y),z,u). T(x,y) = T(T(x,y),a(K(x,z),u,w)). T(T(x,y),a(K(x,z),u,w)) = T(x,y). a(K(x,y),z,u) * x = x * a(K(x,y),z,u). a(K(x,y),z,u) * K(x,w) = K(x,w) * a(K(x,y),z,u). K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). x * K(a(K(x,y),z,u),w) = K(a(K(x,y),z,u),w) * x. K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). x != K(y,K(z,L(u,w * y,v5))) | x = K(u,K(z,L(y,w,v5))). K(x,K(y,(z * (u * y)) \ w)) = K(x,K((u * y) \ (z \ w),L(y,u,z))). K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). K(K(a(x,y,T(z,y)),y),u) = K((x * (z * y)) \ ((x * y) * z),K(y,u)). K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). K(x,x \ y) = K(x,L(x,z,z \ 1) \ y). K(x,L(x,y,y \ 1) \ z) = K(x,x \ z). K((x \ 1) \ y,(x * y) \ z) = K((x \ 1) \ y,((x \ 1) \ y) \ z). K((x \ 1) \ y,((x \ 1) \ y) \ z) = K((x \ 1) \ y,(x * y) \ z). x != K(y,z) * K(z,u) | x = (z * y) \ (y * T(z,u)). x \ R(x,y,L(x,z,u)) = (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)). (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). K(x,y) * (y \ R(y,x,L(y,z,u))) = K(x * L(y,z,u),y). x \ R(x,y,R(x,z,u)) = (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)). (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). x \ R(x,y,R(x,z,u)) != w | K(y * R(x,z,u),x) * K(x,y) = w. K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). x != K(y,T(z \ (u * y),u)) | x = K(y,(z / u) \ y). K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. K(x,T(y \ x,z)) = K(x,((z * y) / z) \ x). K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). K(x,(y / (y / z)) \ x) = K(x,T(z \ x,z \ y)). K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). K(x,R(1 / (1 / (1 / y)),y,z) \ x) = K(x,T((z / (y * z)) \ x,y)). K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). K(x,T(y,z * u)) = K(x,T(y,(x * z) * u)). K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). K(x,(R(x,y,z) * u) / w) = K(x,T(w \ (R(x,y,z) * u),u)). K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). x != K(y,T(z,(y * u) * w)) | x = K(y,T(z,(u * y) * w)). K(x,T(y,z * u)) = K(x,T(y,(z * x) * u)). K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). K(x,((y * x) * z) \ u) = K(x,T(u / ((y * x) * z),y * z)). K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). K(x,K(y,z)) = K(x,K(y,R(x,u,w) \ z)). K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(y,R(x,u,w) / z)). K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). K(x,K(y,z)) = K(x,K(y,z * R(x,u,w))). K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). K(x,T(y,z * u)) = K(x,T(y,(y * z) * u)). K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). K(x,T(y,z * u)) = K(x,T(y,(y \ z) * u)). K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). K(x \ y,T(x,z)) = K(x \ y,T(x,y * z)). K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). K(x \ (y / z),T(x,y)) = K(x \ (y / z),T(x,z)). K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). T(x,R(y,x \ 1,x) \ z) = T(x,(y * (x \ 1)) \ (x \ z)). T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). x != K(y,T(z,L(y,u,w) * (w * u))) | x = K(y,T(z,w * (u * y))). K(x,T(y,z * u)) = K(x,T(y,z * (u * x))). K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). x != K(y,T(z,u * (w * y))) | x = K(y,T(z,u * (y * w))). K(x,T(y,z * u)) = K(x,T(y,z * (x * u))). K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). K(x,T(y,z * u)) = K(x,T(y,z * (x \ u))). K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. x != K((y * z) / (u * z),T(w,y)) | x = R(K(u \ y,w),y,z). K(R(x,y / x,z),u) = R(K((y / x) \ y,u),y,z). R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). R(K(x,y),z,u) = K(R(x,z / x,u),y). K(R(x,y / x,z),u) = R(K(x,u),y,z). K(R(x,y,z),u) = R(K(x,u),y * x,z). R(K(x,y),z * x,u) = K(R(x,z,u),y). K(x,R(y,x,z)) = K(R(x,y,z),y). K(R(x,y,z),y) = K(x,R(y,x,z)). R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. T(x,R(y,x,z)) = x * K(R(x,y,z),y). x * K(R(x,y,z),y) = T(x,R(y,x,z)). K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). R(K(x,y),T(T(y,z),u),w) = K(x,y). K(x,y) \ z = T(T(y,u),K(x,y)) * ((T(y,u) * K(x,y)) \ z). T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(z,x) \ u. K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). K(x,K(y,z \ (u * x))) = K(x,K(y,(z / x) \ u)). K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). x != K(y,T(z,u)) * K(z \ 1,z) | x = (T(T(z,u),y) \ 1) * T(z,u). (x \ 1) * (x * K(y,T(x,z))) = (T(T(x,z),y) \ 1) * T(x,z). (T(T(x,y),z) \ 1) * T(x,y) = (x \ 1) * (x * K(z,T(x,y))). K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x). L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). x * L(y,T(z,x) \ x,z) = T(z,x) * ((T(z,x) \ x) * y). T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). (x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x. K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). K(x,y) * z != K(x,T(y,(y \ u) \ w)) | z = K(x,K(y,u \ w)). K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). K(x,K(y,z \ (u * x))) = K(y,K(x,z \ u)). K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). K(x,K(y,z \ u)) = K(x,K(y,z \ (y \ u))). K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). K(x,K(T(y,z),u \ (y * z))) = K(T(y,z),K(x,u \ z)). x != K(y,K(z,u \ (w * y))) | x = K(y,K(z,(u / y) \ w)). K(x,K(y,z \ u)) = K(x,K(y,(z / x) \ u)). K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). K(x,y) * K(x,K(y,z \ u)) = T(K(x,y),(z \ (u * x)) \ 1). T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). x != K(y,K(z,(u / y) \ w)) | x = K(y,K(z,(y \ u) \ w)). K(x,K(y,z \ u)) = K(x,K(y,(x \ z) \ u)). K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). x != K(y,K(z,u \ (y \ w))) | x = K((T(y,v5) * u) \ w,K(y,z)). K(x,K(y,z \ u)) = K((T(x,w) * u) \ z,K(x,y)). K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). K(x,K(y,T(z \ (y * u),u))) = K(T(y,u),K(x,z \ u)). K(x,T(y,z \ u)) = K(x,T(y,(x \ z) \ u)). K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). K(x,T(y,z \ u)) = K(x,T(y,(x * z) \ u)). K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). K(x,T(y,a(x,z,u))) = K(x,T(y,(z * u) \ ((x * z) * u))). K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). K(x,K(y,(y * z) / u)) = K(T(y,z),K(x,u \ z)). K(T(x,y),K(z,u \ y)) = K(z,K(x,(x * y) / u)). K(T(x,y),K(z,u \ y)) = K(x,K(z,(x * y) / u)). K(x,K(T(y,z),u \ z)) = K(y,K(x,(y * z) / u)). K(x,K(y,z / u)) = K(y,K(x,(y * z) / u)). K(x,K(y,(x * z) / u)) = K(y,K(x,z / u)). K(x,K(y,(x * z) / u)) != w | K(x,K(y,z / u)) = w. K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). K(x,y) = K(x,T(y,a(x,z,u))). K(x,T(y,a(x,z,u))) = K(x,y). T(x,T(y,a(x,z,u))) = x * K(x,y). T(x,T(y,a(x,z,u))) = T(x,y). (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). K(x,R(y,z,u)) = K(x,R(y,z * K(y,w),u)). K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). K(x,R(y,z,u)) = K(x,R(y,T(z,y),u)). K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). x != K(y,R(z,T(u,z),w)) | x = R(K(y,z),u * z,w). K(x,R(y,z,u)) = R(K(x,y),z * y,u). R(K(x,y),z * y,u) = K(x,R(y,z,u)). R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). (x * K(y,R(z,u,w))) \ x = K(R(z,K(z,v5) * u,w),y). K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). x != K(R(y,K(y,z) * (y \ u),w),v5) | x = R(K(y,v5),K(y,z) * u,w). K(R(x,x \ y,z),u) = R(K(x,u),K(x,w) * y,z). R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). K(R(x,y,z),u) = K(R(x,K(w,x) * y,z),u). K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. (x / y) * z != u * ((x / T(y,x)) * z) | R(K(y,x),y \ x,z) = u. x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). x * y != T(z,u / w) * K(w \ u,w) | x \ ((u / w) \ (z * (w \ u))) = y. x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). T(K(x,y) * T(z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). x != K(y \ z,y) * K(u,z / y) | x = y \ (z / T(z / y,u)). K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). (x * K((y \ 1) \ (z \ x),z)) * u = (y \ ((z \ (y * x)) * z)) * u. (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). x != K(y,(z * K(u \ y,u)) \ w) | x = K(y,z \ w). K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). x != K(y,(K(z,u) * w) \ y) | x = K(y,w \ (K(u,z) * y)). K(x,y \ x) = K(x,y \ (K(z,z \ x) * x)). K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). K(x,y \ (z * (x / z))) = K(x,y \ x). K(x,y \ ((z \ x) * z)) = K(x,y \ x). K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u * x)). T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). x != T(K(y,z \ u),T(z,u)) | x = T(K(y,z \ u),z). T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). x != K(y,K(z \ u,u)) | x = K(y,K(z,u)). K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). K(x,K(y,z)) = K(x,(y \ 1) * ((z \ y) * z)). K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). x != K(y,z) * (K(y,u) * (z * y)) | x = T(y,u) * z. K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). R(x * a(y,x,y),z,u) = R(x,z,u) * a(y,R(x,z,u),y). R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). x != T(y,z) * (R(y,u,w) \ 1) | x = R(y,u,w) \ T(y,z). x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). x \ L(T(x,y),z,x) = R(x,z,x) \ T(x,y). R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). x != R(y,z,y) \ T(y,u) | x = R((u * y) / u,z,y) \ y. x \ L(T(x,y),z,x) = R((y * x) / y,z,x) \ x. R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. x != K(y,z \ (y \ ((y * u) * z))) | x = K(y,R(T(u,z),y,z)). ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). x != y * K(T(y,z),R(u,w,v5)) | x = T(y,R((z * u) / z,w,v5)). T(x,R(y / (y / z),u,w)) = T(x,R((y * z) / y,u,w)). T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). x != T(y,R((z * u) / z,w,v5)) | x = T(y,R(T(u,z),w,v5)). T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). x != T(y,R(z / (z / u),w,v5)) | x = T(y,R(T(u,u \ z),w,v5)). T(x,R(T(y,z),u,w)) = T(x,R(T(y,y \ z),u,w)). T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). T(x,y * z) * K(z,y) = T(x * K(z,y),y * z). T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). R(K(x,K(y,z)),u,w) * x = T(x,K(R(y,u,w) \ 1,z)). T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). x != T(y,K(z \ 1,u)) | x = T(y,K(u,z)). T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). x != T(y,R(K(z,u),w,v5)) | x = T(y,K(z,R(u,w,v5))). T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). T(x,K(y,T(z * (u \ 1),u))) = T(x,K(u \ z,R(y,u,u \ 1))). T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). K(L(x,y,x) \ 1,z) = K(x \ 1,z). K(x \ 1,y) = K(R(x,z,x) \ 1,y). K(R(x,y,x) \ 1,z) = K(x \ 1,z). K((x \ 1) \ 1,y) = R(K(x,y),z,x \ 1). R(K(x,y),z,x \ 1) = K((x \ 1) \ 1,y). K(x \ 1,y) * (z * x) = (K(x \ 1,y) * z) * x. (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). R(K(x,y),z,x \ 1) = K(x,y). K(x,R(y,z,x \ 1)) = K(x,y). K(x,y) * (z * (x \ 1)) = (K(x,y) * z) * (x \ 1). (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). T(x,R(y,z,x \ 1)) = x * K(x,y). T(x,R(y,z,x \ 1)) = T(x,y). T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). T(x,K(x \ 1,y) * z) = T(x,z). T(x,T(y,x \ 1) \ z) = T(x,y \ z). T(x \ 1,K(x,y) * z) = T(x \ 1,z). T(x,((x \ 1) \ y) \ z) = T(x,(y / (x \ 1)) \ z). T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). x * (T(K(y,z),x) * T(y \ 1,x)) = L(y \ 1,T(K(y,z),x),x) * (K(y,z) * x). L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (T(K(x,y),z) * T(x \ 1,z)). L(x,y,K(x \ 1,z)) = x. L(x \ 1,y,K(x,z)) = x \ 1. L(x \ 1,x,y) = (K(x,z) * (y * x)) \ (K(x,z) * y). (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). (x \ 1) * y != K(x,z) * (u * (x \ 1)) | T(K(x,z) * u,x \ 1) = y. T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). T(T(x * K(y * T(x,z),x),u),w) \ T(T(x,u),w) = K(x,T(T(T(x,z) * y,w),u)). x != (y * K(z,u)) * K(w,T(z,v5)) | x = y * (K(z,u) * K(w,T(z,v5))). (x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))). x != K(y,z) \ u | x = K(z,y) * u. T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(x,z) * u. (T(T(x,y),z) \ 1) * T(x,z) = (x \ 1) * (x * K(y,T(x,z))). K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x). L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). T(K(x,y),z \ u) = T(K(x,y),z \ (u / x)). T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). x != K(y,z / u) * K(u \ z,u) | x = u \ (z / T(z / u,y)). x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). x != T(K(y,z),T(u,y * w)) | x = T(K(y,z),T(u,w)). T(K(x,y \ (z * x)),y) = T(K(x,y \ (z * x)),T(y,z)). T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). x != T(K(y,z \ (u * y)),z) | x = K(y,(z / u) \ y). K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). x != K(y,(z / R(z,u,w)) \ y) | x = K(y,y * (z \ R(z,u,w))). K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). T(T(x,K(y,x)),z * x) * ((T(x,x * z) * K(y,x)) \ u) = K(x,y) * u. x != (y \ 1) * (y * K(z,T(y,u))) | x = K(y \ 1,y) * K(z,T(y,u)). (T(T(x,y),z) \ 1) * T(x,z) = K(x \ 1,x) * K(y,T(x,z)). K(x \ 1,x) * K(y,T(x,z)) = (T(T(x,y),z) \ 1) * T(x,z). K(x,y) * (K(z,x) * u) = ((1 / z) * u) * T(((1 / z) * u) \ (K(x,y) * u),x). ((1 / x) * y) * T(((1 / x) * y) \ (K(z,u) * y),z) = K(z,u) * (K(x,z) * y). K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). x != (K(y,z) * (u * y)) \ (K(y,z) * u) | x = L(y \ 1,y,u). L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). L(x \ 1,T(x,y),z) = L(x \ 1,x,z). T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). K(L(x,y,z),T(u,w)) = K(L(x,y,z),T(u,x \ w)). K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). x != K(L(y,z,u),T(w,y \ v5)) | x = K(L((y \ v5) \ v5,z,u),w). K(L(x,y,z),T(u,w)) = K(L((x \ w) \ w,y,z),u). K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). (x * K(L(y,z,u),T(w,v5))) \ (x * w) = T(w,L((y \ v5) \ v5,z,u)). T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). x != L(T(y,z),K(y,u),w) | x = T(y,z). (x * y) \ ((T(x,z) * y) * x) = T(x,T(z,y)). (x * y) \ ((T(x,z \ (u * x)) * y) * x) = T(x,T((u \ z) \ x,y)). a(x,y,T(x,z)) = a(x,y * K(x,z),x). a(x,y * K(x,z),x) = a(x,y,T(x,z)). a(x,y,x) = a(x,y,T(x,z)). a(x,y,T(x,z)) = a(x,y,x). a(x,y,T(x,z)) != u | a(x,y,x) = u. a(x,T(y,x),x) != z | a(x,y,x) = z. K(R((x * y) / x,z,u),T(w,y * x)) = K(L(R(y,z,u),x,y),w). x != R(y * K(z,y),u,w) \ R(y,u,w) | x = K(R(y,u,w),z). K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). K(R(x,y,z),u) = K(R(x,y,z),u * K(w,x)). K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). K(x,K(y,(z * u) \ ((z * x) * u))) = 1. R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). K(x,K(y,T(z \ (x * u),x \ z))) = K(x,K(y,u / (x \ z))). x != K(y,K(z,T(u,y \ w))) | x = K(y,K(z,T(u,w))). K(x,K(y,z / (x \ u))) = K(x,K(y,T(u \ (x * z),u))). K(x,K(y,T(z \ (x * u),z))) = K(x,K(y,u / (x \ z))). K(x,K(y,(x * z) / u)) = K(x,K(y,z / (x \ u))). K(x,K(y,z / u)) = K(x,K(y,z / (x \ u))). K(x,K(y,z / (x \ u))) = K(x,K(y,z / u)). K(x,K(y,z / u)) = K(x,K(y,z / (x * u))). K(x,K(y,z / (x * u))) = K(x,K(y,z / u)). x * y != R(K(z,u),w,v5) \ R(T(K(z,u),v6),w,v5) | x \ K(v6,R(K(z,u),w,v5)) = y. R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u). x != K((y \ z) \ u,T(u,w)) | x = K(z \ (u * y),T(u,w)). K(L(x \ 1,x,y) \ z,z) = K(y \ (z * (y * x)),T(z,K(x,u))). K(x \ (y * (x * z)),T(y,K(z,u))) = K(L(z \ 1,z,x) \ y,y). x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. x != K(y,T(z,L(z,u,w) * (z \ v5))) | x = K(y,T(z,L(z,u,w) * v5)). L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). K(x,T(y \ x,z)) = K(x,z \ (x * (y \ z))). K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). x != K(y,z \ (y * u)) | x = K(y,(z / y) \ u). K(x,T(y \ x,z)) = K(x,(z / x) \ (y \ z)). K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). K(x \ y,x \ (z \ y)) = K(x \ y,T(z \ (x \ y),y)). K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). x != K(y / z,u \ (z \ y)) | x = K(z \ y,(u * z) \ y). K(x \ y,x \ (z \ y)) = K(x \ y,(z * x) \ y). K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). x != K(R((y * z) / y,u,w),v5) | x = K(R(z,u,w),T(v5,y)). K(L(R(x,y,z),u,x),w) = K(R(x,y,z),T(T(w,x * u),u)). K(R(x,y,z),T(T(u,x * w),w)) = K(L(R(x,y,z),w,x),u). K(R(x,y,z),T(T(u,w),x * w)) = K(L(R(x,y,z),w,x),u). x != K(R(y,z,u),T(w,y * v5)) | x = K(R(y,z,u),T(w,v5)). K(L(R(x,y,z),u,x),w) = K(R(x,y,z),T(T(w,u),u)). K(R(x,y,z),T(T(u,w),w)) = K(L(R(x,y,z),w,x),u). K(R(x,y,z),u) = K(L(R(x,y,z),w,x),u). K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). x != K(R(L(y,z,y),y \ a(y,z,y),u),w) | x = K(L(y,z,y),w). K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). x != K(L(y,z,y),u) | x = K(y,u). K(R(x,x \ a(x,y,x),z),u) = K(x,u). K(x,y) * (a(x,z,x) * u) = (K(x,y) * a(x,z,x)) * u. (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). K(x,y) * z = K(x,x * y) * (a(x,y,x) * z). K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. K(x,x * y) * z = K(x,y) * (a(x,y,x) \ z). K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. K(x,y) * z != K(x,x * y) * u | a(x,y,x) * z = u. K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z. K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. K(x,x * y) * z != K(x,y) * (a(x,y,x) \ u) | z = u. K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). ((x * y) \ ((x * K(z,u)) * y)) \ 1 = R(K(T(T(u,x),x * y),z),x,y). R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. K((x * y) / (x * (z \ y)),u) \ w = L(K(T(T(u,y),x * y),z),y,x) * w. L(K(T(T(x,y),z * y),u),y,z) * w = K((z * y) / (z * (u \ y)),x) \ w. L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). x != L(K(y,T(z,u)),u,L(z,w,v5)) | x = K(y,T(z,L(z,w,v5) * u)). K(x,T(y,z)) = K(x,T(y,L(y,u,w) * z)). K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). K(x,T(y,z)) = K(x,T(y,L(y,u,w) \ z)). K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). K(x * y,T(x,z)) = K(y * x,T(x,z * y)). K(x * y,T(y,z * x)) = K(y * x,T(y,z)). K(x,T(y \ x,z)) = K(x,T(y \ x,z * y)). K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). K(x,T(y \ x,z)) = K(x,T(y \ x,z / y)). K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). x != K(y,T(z \ y,u / z)) | x = K(y,T(z \ y,z \ u)). K(x,T(y \ x,z)) = K(x,T(y \ x,y \ z)). K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). x != K(y,T(z \ y,z \ u)) | x = K(y,(u / (u / z)) \ y). K(x,T(y \ x,z)) = K(x,(z / (z / y)) \ x). K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). x != K(y,((y * z) / u) \ y) | x = K(y,u / z). K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). K(x,T(y \ x,z)) = K(x,((x * z) / y) / z). K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). x != K(y,z / R(T(y,u),w,v5)) | x = K(y,R(y,w,v5) \ z). K(x,T(y \ x,R(T(x,z),u,w))) = K(x,R(x,u,w) \ ((x * R(T(x,z),u,w)) / y)). K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)) = K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). T(x,y) * K(z,T(x,y)) = T(x * K(z,x),K(x,u) * y). T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). x != T(y,z) * K(u,T(y,z)) | x = T(y * K(u,y),z). T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). x != T(y * K(z * R(y,u,w),y),z) | x = R(y,z,R(y,u,w)). T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). x != L(T(y,z),u,w) \ L(y,u,w) | x = K(z,L(y,u,w)). K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)). K(K(L(x,y,z),u) * w,L(x,v5,v6)) = K(w,L(x,v5,v6)). K(K(x,y) * z,L(x,u,w)) = K(z,L(x,u,w)). K(x \ y,L(z,u,w)) = K(x \ T(y,z),L(z,u,w)). K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). K(x \ (y \ z),L(y,u,w)) = K(x \ (z / y),L(y,u,w)). K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. ((T(x,K(y,z)) / u) * u) / x = R(K(y,(T(x,z) / u) / (x / u)),x / u,u). R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. x != (y * K(z,T(u,w))) * K(u,v5) | x = y * (K(u,v5) * K(z,T(u,w))). (x / T(y / (y / z),u)) * z = x * (K(z,z \ y) * K(u,T(z,y))). x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. x != K(y,(z / u) \ (y \ 1)) | x = K(y,u / (z * y)). K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). x != K(y,(z * u) / (u * y)) | x = K(y,R(y \ z,y,u)). K(x,y / ((z \ y) * x)) = K(x,R(x \ z,x,y / z)). K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). x != K(y,T((z \ u) \ y,w)) | x = K(y,T(u \ (z * y),w)). K(x,y \ ((((y \ z) \ 1) \ y) * x)) = K(x,T(1 \ ((y \ z) * x),z)). K(x,T(1 \ ((y \ z) * x),z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / (x * z))). K(x,T(y,T((x * z) \ u,z))) != w | K(x,T(y,u / (x * z))) = w. x != T(y,z) * L(y \ T(z,y),u,w) | x = T(y * L(y \ z,u,w),z). T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). T(T(x,x * y) * L(y,z,u),x) = T(x * L(x \ (x * y),z,u),x * y). T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). x != T(y,y * z) * R(y \ T(y * z,y),u,w) | x = T(y * R(z,u,w),y * z). T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). x * y != (z * R(K(u,w),v5,v6)) * R(K(w,u),v5,v6) | z / y = x. x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). (x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)). x != (y * K(z,u)) \ (y * K(z,w)) | x = K(z,w) * K(u,z). L(a(x,y,x),K(x,x * y),z) = K(x,y) * K(x * y,x). x != K(y,z) * K(y * z,y) | x = a(y,z,y). L(a(x,y,x),K(x,x * y),z) = a(x,y,x). x / a(y,z,y) = (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z). (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = x / a(y,z,y). (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). (x \ y) * K((x \ 1) \ (x \ y),(x * (x \ y)) \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). (x \ (y * z)) * x = (y * K((z \ 1) \ (x \ y),x)) * z. (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. x != (y * K(z,T(u,w))) \ (y * u) | x = T(u,T(z,w)). T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). T(x,L(T(y,y \ z),u,w)) = T(x,L(T(y,z),u,w)). T(x,L(T(T(y * z,z) / y,(T(y * z,z) / y) \ (y * z)),u,w)) = T(x,L((y * z) / y,u,w)). x != (y * z) \ ((T(y,u) * z) * y) | x = T(y,T(u,z)). T(x,T((y \ z) \ x,u)) = T(x,T(z \ (y * x),u)). x * (T(y / (y / z),u) \ z) = (x / T(y / (y / z),u)) * z. (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). x != K(y,z \ ((u \ z) * y)) | x = K(y,T(u \ y,z)). K(x,T((y \ z) * x,z)) = K(x,T(((y \ z) \ 1) \ x,y)). K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). K(x,T((y \ z) * x,z)) = K(x,T(1 \ ((y \ z) * x),y)). K(x,T(1 \ ((y \ z) * x),y)) = K(x,T((y \ z) * x,z)). K(x,T((y \ z) * x,y)) = K(x,T((y \ z) * x,z)). K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / z)). x != K(y,z) * K(y,K(z,u)) | x = K(y,T(z,u)). K(x,T(y,T((x * z) \ u,z))) = K(x,T(y,u / z)). K(x,T(y,z / (x * u))) = K(x,T(y,z / u)). K(x,T(y,z / u)) = K(x,T(y,z / (x \ u))). K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). x != T(y,T((z * (y \ 1)) / u,u / (y \ 1))) | x = T(y,(u / (y \ 1)) \ z). T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). T(x,y \ (z * (x \ 1))) = T(x,(y / (x \ 1)) \ z). T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). (x * (K(y,z) * L(K(u,y),w,v5))) * K(z,y) = x * L(K(u,y),w,v5). T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). K(x,y) * T(y,x * y) = L(y,K(z,y) * x,y). L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). x != K(y,z) * T(z,y * z) | x = L(z,y,z). L(x,K(y,x) * z,x) = L(x,z,x). L(x,T(x,y) \ z,x) = L(x,x \ z,x). x != L(y,T(y,z) \ u,y) | x = L(y,u / T(y,z),y). L(x,x \ y,x) = L(x,y / T(x,z),x). L(x,y / T(x,z),x) = L(x,x \ y,x). x != L(y,z / T(y,u),y) | x = T((z * K(u,y)) / (z / T(y,u)),z * K(u,y)). L(x,x \ y,x) = T((y * K(z,x)) / (y / T(x,z)),y * K(z,x)). T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). K(x \ (y * z),L(z,u,w)) = K((x / z) \ y,L(z,u,w)). K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))). K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). T(x,T(y / (x \ z),u)) = x * K(x,T((z / y) \ x,u)). x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. T(x,a(y,z,K(x,u))) = x. a(x,y,K(z,u)) * K(w,z) = K(w,z) * a(x,y,K(z,u)). K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). x * a(y,z,K(x,u)) = T(x,u) * L(K(u,x),z,y). T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). ((x * y) / x) * L(K(y,x),z,u) = y * a(u,z,K(x,y)). K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). (x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y). (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). (x * a(y,z,K(u,w))) * K(w,u) = x * L(K(w,u),z,y). L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). x != L(K(y,z),u,w) * K(z,v5) | x = (w * u) \ ((w * (u * K(y,z))) * K(z,v5)). a(x,y,K(z,u)) = (x * y) \ ((x * (y * K(u,z))) * K(z,u)). (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). K(L(x,y,z),u) * K(u,x) = a(z,y * x,K(u,x)). K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). (x * y) * a(z,u,K(y,w)) = (x * T(y,w)) * L(K(w,y),u,z). (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). x * K(y,z) != u * L(K(y,z),w,v5) | x = u / a(v5,w,K(y,z)). x * a(y,z,K(u,w)) = x / a(y,z,K(w,u)). x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). x != T(y * z,u) / a(y,z,K(y * z,u)) | x = y * (z * K(y * z,u)). T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). x != a(y / z,z,K(u,y)) | x = ((y / z) * (z * K(u,y))) \ ((u * y) / u). ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). x != (y * T(z,u)) * L(K(w,z),v5,v6) | x = y * (T(z,u) * L(K(w,z),v5,v6)). (x * y) * a(z,u,K(y,w)) = x * (T(y,w) * L(K(w,y),u,z)). x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). x * (y * a(z,u,K(y,w))) = (x * y) * a(z,u,K(y,w)). (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). a(x,y,a(z,u,K(y,w))) = 1. a(x,T(y,z),a(u,w,K(y,v5))) = 1. K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. L(K(x \ y,x),z,y) = (y * (K(x \ y,x) * z)) / (y * z). (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. x != R(K(y,T(T(z,u),u * w)),u,w) | x = (u * w) \ ((u * K(y,z)) * w). ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. x \ ((L(y,z,u) * (y \ x)) * y) = K(y \ x,y) * L(T(y,y \ x),z,u). K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). L(x,y,x) * R(K(x,z),u,w) = L(x * R(K(x,z),u,w),y,x). L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). x != L(y,z,u) * R(K(y,w),v5,v6) | x = R(K(y,w),v5,v6) * L(y,z,u). L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). T(x,K(y,z)) * R(K(z,u),w,v5) = T(x * R(K(z,u),w,v5),K(y,z)). T(x * R(K(y,z),u,w),K(v5,y)) = T(x,K(v5,y)) * R(K(y,z),u,w). x != (y * K(z,u)) * R(K(u,w),v5,v6) | x = y * (R(K(u,w),v5,v6) * K(z,u)). R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). T(K(x,y),z) * T(K(y,u),z) = z \ (K(y,u) * (K(x,y) * z)). x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). (K(x,y) * T(z,u)) / K(x,T(y,z)) = (z * (K(x,y) * K(z,u))) * K(y,x). K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y). K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). x != K(y,z / (u * T(w,y))) | x = K(y,z / (u * w)). K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). T(T(K(x,y) * z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). T(x,y * x) * ((T(x,x * y) * K(z,x)) \ u) = K(x,z) * u. T(x,y * x) * (L(x,y,x) \ z) = K(x,y) * z. T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. x != T(y,z) * (L(y,u,y) \ w) | x = K(y,z) * (w * a(y,u,y)). K(x,y) * z = K(x,x * y) * (z * a(x,y,x)). K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. (a(x,y,x) \ z) * a(x,y,x) = z. a(x,y,x) * z = z * a(x,y,x). K(x,x * y) * (z * x) = K(x,y) * (z * L(x,y,x)). K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). T(x,a(y,z,y)) = x. T(a(x,y,x),z) = a(x,y,x). x / a(y,z,y) = a(y,z,y) \ x. K(x,a(y,z,y)) = 1. a(x,y,x) * z != u | z * a(x,y,x) = u. x * K(y,a(z,u,z)) = x. x != y * a(z,u,z) | a(z,u,z) * y = x. x * a(y,z,y) != u | a(y,z,y) * x = u. a(x,y,x) * z != z * u | u = a(x,y,x). a(x,y,x) * z != z * u | a(x,y,x) = u. R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). L(a(x,y,x),z,u) = (u * (z * a(x,y,x))) / (u * z). (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). x != R(y,z,u) * a(w,R(y,z,u),w) | x = R(y * a(w,y,w),z,u). a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). x != y / a(z,u,z) | x = (y / (K(z,z * u) * a(z,u,z))) * K(z,z * u). a(x,y,x) \ z = (z / (K(x,x * y) * a(x,y,x))) * K(x,x * y). (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = a(y,z,y) \ x. (x / y) \ (a(y,z,y) \ x) = L(y,z,y). T(x,R(a(y,z,y),u,w)) = x. (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). (x / K(y,z)) * K(y,y * z) = a(y,z,y) \ x. (x * K(y,z)) * K(z,z * y) = a(z,y,z) \ x. a(x,y,x) \ z = (z / R(x,y,x)) * x. (x / R(y,z,y)) * y = a(y,z,y) \ x. x != a(y,z,y) \ u | x = u / a(y,z,y). (x / R(y,z,y)) * y = x / a(y,z,y). (a(x,y,x) * (z * x)) / R(x,y,x) = z. x != (y / R(z,u,z)) * z | x = y * (z \ L(z,u,z)). a(x,y,x) \ z = z * (x \ L(x,y,x)). x * (y \ L(y,z,y)) = a(y,z,y) \ x. 1 * x != (y / R(z,u,z)) * z | x = a(z,u,z) \ y. x \ L(x,y,x) = a(x,y,x) \ 1. a(x,y,x) \ 1 = x \ L(x,y,x). x / y = (x * a(y,z,y)) / R(y,z,y). (x * a(y,z,y)) / R(y,z,y) = x / y. x / a(y,z,y) = x * (y \ L(y,z,y)). x * (y \ L(y,z,y)) = x / a(y,z,y). x * R(y,z,y) = a(y,z,y) * (x * y). a(x,y,x) * (z * x) = z * R(x,y,x). (x * R(y,z,y)) / (x * y) = a(y,z,y). x != K(y,z) * (y \ L(y,u,y)) | x = y \ L(T(y,z),u,y). a(x,y,x) \ K(x,z) = x \ L(T(x,z),y,x). (x / y) * R(y,z,y) = x * a(y,z,y). x / (y \ L(y,z,y)) = x * a(y,z,y). (x * y) * a(y,z,y) = x * R(y,z,y). (x * R(y,z,y)) / (x * y) != u | u = a(y,z,y). (x * R(y,z,y)) / (x * y) != u | a(y,z,y) = u. a(x,y,x) * (z * x) != u | u = z * R(x,y,x). a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. ((x * y) * R(L(z,y,x),u,L(z,y,x))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). x != (y / z) * R(z,u,z) | x = R(z,u,z) * (z \ y). x * a(y,z,y) = R(y,z,y) * (y \ x). R(x,y,x) * (x \ z) = z * a(x,y,x). (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). x / (a(y,z,y) \ 1) = x * a(y,z,y). (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). R(x,y,x) * z = (x * z) * a(x,y,x). (x * y) * a(x,z,x) = R(x,z,x) * y. R(x,y,x) * (T(x,z) \ u) = (K(z,x) * u) * a(x,y,x). R(x,a(y,z,y),a(y,z,y) \ 1) = x. R(x,a(y,z,y),y \ L(y,z,y)) = x. R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. a(x,y,x) * (x * z) = R(x,y,x) * z. ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. T(x * L(y,z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). x != K(y,z) * L(T(u,y),w,v5) | x = T(K(y,z) * L(u,w,v5),y). x \ ((L(y,z,u) * (y \ x)) * y) = T(K(y \ x,y) * L(y,z,u),y \ x). T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). (x * y) \ ((T(z * x,z) / z) * y) = L(a(z,T(x,y),z),T(x,y),y). L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). x != (y * z) \ ((T(u * y,u) / u) * z) | x = R(a(u,y,u),y,z). L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). L(a(x,y,x),T(y * K(z,y),z),z) = R(a(x,y * K(z,y),x),y * K(z,y),z). R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). (K(x,y) * T(z,u)) * K(y,T(x,z)) = (z * (K(x,y) * K(z,u))) * K(y,x). (x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) * K(z,T(y,x)). K(x,K(y,z \ 1)) \ (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). K(K(x,y \ 1),z) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). K(x,K(y \ 1,z)) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z). K(x,y) * (K(z,x) * (K(x,y) \ u)) = K(z,x) * u. K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. x * y != K(z,u) * (K(w,z) * v5) | x \ (K(w,z) * (K(z,u) * v5)) = y. (K(x,y) * K(z,x)) \ (K(z,x) * (K(x,y) * u)) = L(u,K(z,x),K(x,y)). K(x,y) * z = K(u,x) * (K(x,y) * (K(x,u) * z)). K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. K(x,y) * (L(K(z,x),u,w) * v5) = K(L(z,u / z,w),x) * (K(x,y) * v5). K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). K(x,K(y,z)) * u = K(z,w) * (K(x,K(y,z)) * (K(z,w) \ u)). K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. L(x,K(y,z),K(z,u)) != w | L(x,K(z,u),K(y,z)) = w. x != T(K(y \ z,y) * u,y \ z) | x = (z / y) \ (u * (y \ z)). x \ ((L(y,z,u) * (y \ x)) * y) = (x / y) \ (L(y,z,u) * (y \ x)). (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). x != (K(y,z) * u) * K(w,T(y,v5)) | x = K(y,z) * (u * K(w,T(y,v5))). (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (T(x,u) * K(z,T(y,x))). L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (K(x,u) * (K(z,y) * x)). T(x,T(y,K(z,u))) = K(z,u) * (K(x,y) * (K(u,z) * x)). K(x,y) * (K(z,u) * (K(y,x) * z)) = T(z,T(u,K(x,y))). K(x,y) * (K(K(x,y) * z,u) * z) = T(K(x,y) * z,T(u,K(x,y))). K(x,y) * (z * K(z * K(x,y),u)) = T(K(x,y) * z,T(u,K(x,y))). K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). x != T(y * K(z,y),T(u,T(y,w))) | x = T(y * K(z,y),u). R(x,T(y,T(x,z)),R(x,u,w)) = T(x * K(y * R(x,u,w),x),y). T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). x != R(y,z,u) \ R(y * K(w,y),z,u) | x = K(w,R(y,z,u)). K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). K(x * y,R(x,z,u)) = K(y * x,R(x,z,u)). K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). L(K(x,T(T(y,z),u * (K(y,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)). K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). L(K(T(T(x,y),z * y),u),y,z) * w = K(x,(z * y) / (z * (u \ y))) * w. T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. x != T(y,z) / y | x = K(y,z). R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | u = L(K(y,x),z,x * y). ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). x != L(K(y,T(T(z,u),w * u)),u,w) | x = K((w * u) / (w * (y \ u)),z). (x * y) / (x * (K(z,u) * y)) = K((x * y) / (x * (u \ y)),z). K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). L(K(T(x,y),T(z,u * y)),y,u) * w = K(x,(u * y) / (u * (z \ y))) * w. L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. L(K(x,T(T(y,z * u),u)),u,z) * w = K(x,(z * u) / (z * (y \ u))) * w. K((x * y) / (x * (z \ y)),u) * w = K(z,(x * y) / (x * (u \ y))) * w. K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). x != K((y * z) / (y * (u \ z)),w) | x = (y * z) / (y * (K(w,u) * z)). K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). x != K((y * z) / (y * (u \ z)),w) | x = (y * (K(u,w) * z)) / (y * z). K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. R(K(x,y),z * u,w) = R(K(x,y),z * (K(v5,y) * u),w). R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). K(x,y / ((z * u) * w)) = K(x,y / ((z * (K(v5,x) * u)) * w)). K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). K(x,y) * (R(x,z,u) * w) = R(x,z,u) * (K(x,y) * w). R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). K(x,y) * (R(y,z,u) * w) = R(y,z,u) * (K(x,y) * w). R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. R(x,y,z) \ K(x,u) = K(x,u) * (R(x,y,z) \ 1). K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). x * y != R(z,u,w) \ K(z,v5) | x \ (K(z,v5) * (R(z,u,w) \ 1)) = y. (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). R(x,y,x) * (T(x,z) \ u) = K(z,x) * ((u / x) * R(x,y,x)). K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). x != K(y,z) * ((u / z) * R(z,w,z)) | x = z * (L(T(z,y),w,z) \ u). R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). x != R(y,z,y) * (T(y,u) \ w) | x = (K(u,y) * w) * a(y,z,y). x * (L(T(x,y),z,x) \ u) = (K(y,x) * u) * a(x,z,x). (K(x,y) * z) * a(y,u,y) = y * (L(T(y,x),u,y) \ z). K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). a(x,y,x) * (K(z,x) * u) = x * (L(T(x,z),y,x) \ u). T(x,y) * (L(T(x,z),u,x) \ w) = R(T(x,y),u,x) * (T(x,z) \ w). R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z). K(x,y) * (R(K(y,x),z,u) * w) = (K(x,y) * R(K(x,y) \ 1,z,u)) * w. (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). K(x,y) * (L(K(y,x),z,u) * w) = (K(x,y) * L(K(x,y) \ 1,z,u)) * w. (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). a(x,y,K(z,u)) * w = K(z,u) * (L(K(u,z),y,x) * w). K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. x != K(y,z) * (L(K(u,y),w,v5) * v6) | x = L(K(u,y),w,v5) * (K(y,z) * v6). a(x,y,K(z,u)) * w = L(K(u,z),y,x) * (K(z,u) * w). L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. K(x,y) * z = a(u,w,K(x,y)) * (L(K(x,y),w,u) * z). a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. x * y != K(z,u) * (K(u,z) * w) | x \ w = y. a(x,y,K(z,u)) \ w = L(K(z,u),y,x) * (K(u,z) * w). L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. x != L(K(y,z),u,w) * (K(z,y) * v5) | x = a(w,u,K(z,y)) * v5. a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). x != a(y,z,K(u,w)) * K(v5,u) | x = K(v5,u) * a(y,z,K(u,w)). a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). x * y != (T(z * u,z) / z) / u | (z \ R(z,u,z)) / y = x. (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. x != T(y,y \ z) \ R(T(u,u \ w),v5,v6) | x = ((y \ z) \ z) \ R((u \ w) \ w,v5,v6). x \ (y \ ((R(x,z,u) * (x \ y)) * x)) = ((x \ y) \ y) \ R((x \ y) \ y,z,u). ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). x != y * T(K(z,u),w) | x * T(K(u,z),w) = y. x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. K(x,y) * T(z * R(K(y,u),w,v5),K(x,y)) = (z * K(x,y)) * R(K(y,u),w,v5). T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). T((x \ 1) * y,K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). x != K(y,K(z,u \ 1) / u) | x = K(T(y,z),u \ 1). K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). x != K(T(y,(z / u) \ 1),z) | x = K(T(y,z \ u),z). K(T(x,y),z \ 1) = K(T(x,(z \ 1) \ (z \ y)),z \ 1). K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. x != K(y,z) * ((z * R(y,u,w)) * y) | x = (y * z) * R(y,u,w). (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). a(x,y,L(x,z,u)) = x \ R(x,y,L(x,z,u)). x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). x \ R(x,y,T(L(x,z,u),y)) = a(x,y * K(L(x,z,u),y),L(x,z,u)). a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)). K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). K(x * L(y,z,u),y) != K(x,y) * w | a(y,x,L(y,z,u)) = w. (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). a(x,y,R(x,z,u)) = x \ R(x,y,R(x,z,u)). x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). a(x,y,R(x,z,u)) \ 1 = R(x,y,R(x,z,u)) \ x. R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. K(x,y) * a(x,z,R(x,u,w)) = x \ R(T(x,y),z,R(x,u,w)). x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). a(x,y,R(x,z,u)) * T(K(y,x),w) = K(y * R(x,z,u),x) * K(y,K(x,w)). K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). a(x,y,R(x,z,u)) = ((x \ w) \ w) \ R((x \ w) \ w,y,R(x,z,u)). ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). x != (y * z) * T((y * z) \ (u * z),w) | x = (y * T(y \ u,w)) * z. K(x,y) * (K(z,x) * u) = ((1 / z) * T((1 / z) \ K(x,y),x)) * u. ((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u). (K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u). (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). L(x,K(y,z),K(z,u)) = x. x * y != K(z,u) * (K(w,z) * x) | T(K(z,u) * K(w,z),x) = y. T(K(x,y) * K(z,x),u) = u \ (K(x,y) * (K(z,x) * u)). x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(x,y) * (K(z,x) * u)) / (K(x,y) * K(z,x))). (K(x,y) * z) / (K(y,u) * (K(x,y) * z)) = R(K(u,y),K(x,y),z). L(x,K(y,z),K(u,y)) = x. x != T(y / (y / z),z \ y) | x = z. L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. x != L(K(y,z) * (K(u,w) * v5),K(z,y),K(w,u)) | x = (K(w,u) * K(z,y)) \ v5. K(x,y) * (K(z,x) * u) = (K(x,z) * K(y,x)) \ u. (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). L(x,K(y,T(z,u)),K(z,w)) = x. x != L(y * K(z * u,y),u,z) | x = (z * (u * y)) / (z * u). x * K(K(y,z) * K(z,u),x) = (K(y,z) * (K(z,u) * x)) / (K(y,z) * K(z,u)). (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). T(K(x,y) * K(y,z),u) = K(y,z) * (K(x,y) * K(K(x,y) * K(y,z),u)). K(x,y) * (K(z,x) * K(K(z,x) * K(x,y),u)) = T(K(z,x) * K(x,y),u). x * y != K(z,u) * (K(w,z) * (K(u,z) * v5)) | (K(w,z) * v5) / y = x. (K(x,y) * z) / (K(u,y) * z) = K(x,y) * K(y,u). (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). R(K(x,y),K(y,z),u) = K(x,y). x * y != K(z,u) * (K(u,w) * (K(u,z) * v5)) | (K(u,w) * v5) / y = x. (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). K(x,y) * R(R(K(x,y),K(y,z),u) \ 1,w,v5) = R(K(x,y) * R(K(x,y) \ 1,w,v5),K(y,z),u). R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). (x * K(y,z)) / (K(u,T(z,x)) * x) = K(y,T(z,x)) * K(T(z,x),u). (K(x,T(y,z)) * K(y,u)) \ w = K(y,T(x,z)) * (K(u,y) * w). x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). x != y \ (K(z,u) * (K(w,z) * y)) | x = T(K(w,z),y) * T(K(z,u),y). T(K(x,y) * K(z,x),u) = T(K(z,x),u) * T(K(x,y),u). T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). K(x,y) = R(K(x,y),K(z,y),u). R(K(x,y),K(z,y),u) = K(x,y). (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(T(z,x),u). (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(z,T(u,x)). x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). x != K(y,z) * (u * K(u * K(y,z),w)) | x = T(K(y,z) * u,T(w,K(y,z))). T(K(x,y) * K(y,z),u) = T(K(y,z) * K(x,y),T(u,K(y,z))). T(K(x,y) * K(z,x),T(u,K(x,y))) = T(K(z,x) * K(x,y),u). R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. x != (y * (K(z,y) * u)) \ (y * (K(z,y) * (u * w))) | x = L(w,u,y * K(z,y)). L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). (x * R(K(y,z),u,w)) * K(v5,y) = (x * K(v5,y)) * R(K(y,z),u,w). x != (y * K(z,u)) * R(K(u,w),v5,v6) | x = y * (K(z,u) * R(K(u,w),v5,v6)). (x * R(K(y,z),u,w)) * K(v5,y) = x * (K(v5,y) * R(K(y,z),u,w)). x != (y * R(K(z,u),w,v5)) * K(u,v6) | x = y / (K(v6,u) * R(K(u,z),w,v5)). x * (K(y,z) * R(K(z,y),u,w)) = x / (K(z,y) * R(K(y,z),u,w)). x / (K(y,z) * R(K(z,y),u,w)) = x * (K(z,y) * R(K(y,z),u,w)). x / a(K(y,z),u,u \ 1) = x * (K(y,z) * R(K(z,y),u,u \ 1)). x * (K(y,z) * R(K(z,y),u,u \ 1)) = x / a(K(y,z),u,u \ 1). x * a(K(y,z),u,u \ 1) = x / a(K(z,y),u,u \ 1). x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). T(x,T((1 / y) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). R(K(x,y),R(y,z,u),w) = K(x,y). (x * K(y,z)) \ x = R(K(z,y),R(z,u,w),v5). R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. R(K(x,y),R(x,z,u),w) = K(x,y). K(x,R(x,y,z) / (u / w)) = K(x,(R(x,y,z) * w) / u). K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). x != R(K(y,(z / u) / w),z / u,u) | x = K(y,z / (w * u)). ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. R(T(x,x * y),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). T(x * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). T(T(x,K(y,z)),K(z,u)) \ x = K(K(y,z) * K(z,u),K(y,z) \ x). K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). K(L(K(x,y),z,u),w \ v5) = K(L(K(x,y),z,u),w \ (v5 / x)). K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). x != K(L(K(y,z),u,w),v5) | x = K(z,K(v5,L(y,u,w))). K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). x != K(y,K(z \ (u \ (w \ v5)),L(u,z,w))) | x = K(y,K(u,(w * (z * u)) \ v5)). K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). x != K(y,K(z \ (u \ w),L(v5,z,u))) | x = K(v5,K(y,(u * z) \ w)). K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). x != K(y,K(z,(u * (w * y)) \ ((u * y) * w))) | x = K(y,K(z,a(u,y,T(w,y)))). K(x,K(y,(z * u) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). x != K(y,K(z,(u * w) \ ((u * y) * w))) | x = 1. K(x,K(y,a(z,x,T(u,x)))) = 1. K(x,K(y,a(z,x,u))) = 1. a(x,y,z) * 1 = T(a(x,y,z),K(u,y)). T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. T(a(x,y,z),K(u,y)) = a(x,y,z). x != T(y,K(z,z \ u)) | x = T(y,K(z,u)). a(x,y \ z,u) = T(a(x,y \ z,u),K(y,z)). T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). K(x,y) * a(z,x \ y,u) = a(z,x \ y,u) * K(x,y). a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. K(x * R(y,z,u),y) * K(y,x) = a(y,T(x,R(y,w,v5)),R(y,z,u)). a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). x != K(y * R(z,u,w),z) * K(z,y) | x = a(z,y,R(z,u,w)). a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). a(x,R(x,y,z) \ u,R(x,w,v5)) = a(x,u / R(x,y,z),R(x,w,v5)). a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). x != K(y,z / R(y,u,w)) | x = K(y,R(y,u,w) \ z). a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). T(x,T((y \ 1) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). x * y != (z * K(u \ z,w)) * (u \ 1) | x \ T(z * (u \ 1),w) = y. x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). x * (y \ 1) = (x * K(y,z)) * (T(y,z) \ 1). (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. x != (y * K(z,u)) * (u \ 1) | x = (y * (u \ 1)) * K(z,u). x * (y \ K(z,y)) = (x * (y \ 1)) * K(z,y). (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). (((x \ y) \ y) \ 1) * y = T((x \ 1) * y,x). T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. (x * (y \ K(z,y))) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). x != T((y \ 1) * z,y) | x = (((y \ 1) * z) \ z) \ z. (((x \ y) \ y) \ 1) * y = (((x \ 1) * y) \ y) \ y. (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). x != K(y \ (z * u),u) | x = K(y \ (u * z),u). L(K(x * y,x),y,z) = K(z \ (x * (z * y)),x). L(K(x * y,y),x,z) = K(z \ ((z * x) * y),y). x != K(y,z) | x = K(y,T(z,K(u,y))). L(K(x * y,x),y,z) = K(z \ (x * (z * y)),T(x,K(u,z \ (x * (z * y))))). K(x \ (y * (x * z)),T(y,K(u,x \ (y * (x * z))))) = L(K(y * z,y),z,x). L(K(x * y,y),x,z) = K(z \ (y * (z * x)),y). L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x * y,x)). L(K(x * T(y,z * x),T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). R(x,y \ 1,K(z,y)) = x. x != R(y / z,z,K(y,u)) | x = T(y,u) / (z * K(y,u)). x / (y \ 1) = T(x,y) / ((y \ 1) * K(x,y)). T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). R(x,y \ 1,K(z,T(y,u))) = x. R(x,(y * K(z,y)) \ 1,K(u,y)) = x. R(x,y \ K(y,z),K(u,y)) = x. x != R(y / (z \ K(z,u)),z \ K(z,u),K(u,z)) | x = (y * K(u,z)) / (z \ 1). x / (y \ K(y,z)) = (x * K(z,y)) / (y \ 1). (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). R(x,y,K(z,y \ 1)) = x. R(x,y \ z,K(u,z \ y)) = x. x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). T(x,y) / (T(y,x) \ 1) = x / (y \ 1). (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. x != (y / (z \ 1)) \ T(y,z) | x = T(y,z) / ((z \ 1) \ y). T(x,y) \ 1 = T(y,x) / ((x \ 1) \ y). T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. (T(x,y) \ 1) \ T(y,x) = (x \ 1) \ y. (T(x,y) \ 1) \ y = (y \ ((x \ 1) \ y)) * y. (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. K(x,y) * ((x \ 1) \ y) = (T(x,y) \ 1) \ y. T(x,y) / (y \ 1) = x / (y \ K(y,x)). (T(x,y) / (y \ 1)) \ x = y \ K(y,x). (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). (x \ (y \ x)) * x = (T(1 / y,x) \ 1) \ x. (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. x != K(y,z) * ((y \ 1) \ z) | x = y * (((y \ 1) \ z) / y). (T(x,y) \ 1) \ y = x * (((x \ 1) \ y) / x). x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. (T(1 * (K(x,y) * K(z,x)),u) \ 1) \ u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). x != y / ((y \ ((z \ y) \ y)) * y) | x = z \ T(y,y \ z). T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). ((x * y) \ y) \ 1 = T(((y * x) \ y) \ 1,y). T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. T((K(x,y) * K(z,x)) \ 1,u) = (((K(x,z) * K(y,x)) * u) \ u) \ 1. (((K(x,y) * K(z,x)) * u) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). R(x,K(y \ 1,z),y) = x. L(x \ 1,K(x,y),z) = x \ 1. R(x,y,K(y \ 1,z)) = x. x * (y * K(y \ 1,z)) = (x * y) * K(y \ 1,z). (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). L(K(x \ 1,y),x,z) = K(x \ 1,y). a(x,y,K(y \ 1,z)) = 1. a(x,y \ 1,K(y,z)) = 1. L(K(x,y),x \ 1,z) = K(x,y). x != L(K(y,z \ 1),u,w) | x = K(y,L(z,u,w) \ 1). K(x,y \ 1) = K(x,L(y,x \ 1,z) \ 1). K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). x != T(y,(y * (z \ u)) \ 1) | x = T(y,u \ (y \ z)). T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). x != K(y,(z * (y \ 1)) \ u) | x = K(y,((y \ 1) * z) \ u). K(x,y \ (z * x)) = K(x,((x \ 1) * y) \ z). K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). x != K(T(y,z),((T(y,z) \ 1) * z) \ u) | x = K(y,u / ((y \ 1) * z)). K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). x != K(y,(z * T(y,u)) / w) | x = K(y,z / (y \ w)). K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). x != K(y,((z * u) * w) / (z * w)) | x = K(T(y,z),R(u,z,w)). K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). (x \ y) * (y \ x) = T((x \ y) * (y \ x),z). T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). K((x \ y) * (y \ x),z) = 1. T(x,(y \ z) * (z \ y)) = x. K(x * ((y * x) \ y),z) = 1. T(x,y * ((z * y) \ z)) = x. T(x * ((y * x) \ y),z) = x * ((y * x) \ y). (x * ((y * x) \ y)) \ z = z / (x * ((y * x) \ y)). x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. K(x,y * ((z * y) \ z)) = 1. T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). x != T(y * L(y \ 1,y,z),u) | x = T(y,u) * ((z * T(y,u)) \ z). x * ((y * x) \ y) = T(x,z) * ((y * T(x,z)) \ y). T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). x != T(y * L(y \ 1,y,z),z) | x = T(y,z) * ((y * z) \ z). x * ((y * x) \ y) = T(x,y) * ((x * y) \ y). T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * (K(z,x) * 1),u). ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * K(z,x),u). x != K(T(y,y \ 1),z) | x = K(y,z). K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). x != K(y,R(z \ u,z,w)) | x = R(K(y,z \ u),u,w). K(x,(y / (((x \ 1) * ((x \ 1) \ z)) * y)) \ x) = R(K(x,(x \ 1) \ z),z,y). R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). x != K(y \ (z * (y * u)),T(z,K(u,w))) | x = K(L(u \ 1,u,y) \ z,z). L(K(x * y,x),y,z) = K(L(y \ 1,y,z) \ x,x). K(L(x \ 1,x,y) \ z,z) = L(K(z * x,z),x,y). x / (L(K(y * z,y),z,u) * x) = K(y,L(z \ 1,z,u) \ y). L(K(x,x * y),y,z) = K(x,L(y \ 1,y,z) \ x). K(x,L(y \ 1,y,z) \ x) = L(K(x,x * y),y,z). K(x,y \ x) = L(K(x,x * ((z * y) \ z)),(z * y) \ z,y * z). L(K(x,x * ((y * z) \ y)),(y * z) \ y,z * y) = K(x,z \ x). R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). x != K(y,(z / (u * z)) \ w) | x = K(y,R(u \ 1,u,z) \ w). R(K(x,x * y),y,z) = K(x,R(y \ 1,y,z) \ x). K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. x != R(y,K(z,u),w * K(u,z)) * w | x = (y * K(z,u)) * (K(u,z) * w). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * T(x \ K(x,y),z). L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = (x \ K(x,y)) * z. L(x \ 1,K(x,T(y,z)),z) * (K(x,y) * z) = (x \ K(x,y)) * z. (x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z. x != (y \ 1) * (K(y,z) * u) | x = K(y,z) * ((y \ 1) * u). (x \ K(x,y)) * z = K(x,y) * ((x \ 1) * z). K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. ((x \ 1) * y) / ((x \ K(x,z)) * y) = K(z,x). L(x,y \ 1,K(y,z)) = x. a(K(x,y),x \ 1,z) = 1. x != ((y \ 1) * z) / ((y \ K(y,u)) * z) | x = R(K(u,y),y \ 1,z). K(x,y) = R(K(x,y),y \ 1,z). R(K(x,y),y \ 1,z) = K(x,y). T(x,T(1 \ (y * x),z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). L(K(x * y,T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). L(K(x * y,T(x,z)),y,z) = K(z \ (x * (z * y)),T(x,z * y)). K(x \ (y * (x * z)),T(y,x * z)) = L(K(y * z,T(y,x)),z,x). K((x / (x * y)) \ z,z) = L(K(z * y,T(z,x)),y,x). L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). x != T(T(y * K(z * R(y,u,w),y),v5),z) | x = R(T(y,v5),z,R(y,u,w)). R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. T(x,T(y * x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). T(x,T(y * x,z)) * K((y \ 1) \ 1,T(x,z)) = L(x,T(1 / y,z) \ 1,x). T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(1 / y,z) \ 1,x). (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = L(x,y,z). x != L(L(y,z,u),w,K(v5,y)) | x = L(y,z,u). L(x,y,x) = L(x,y,T(x,z)). L(x,y,T(x,z)) = L(x,y,x). L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). x != L(y,T(z,u),T(u,z)) | x = L(y,z,u). L(T(x,y),T(z,x),x) = L(T(x,y),z,x). T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). a(x,y,x) = a(T(x,z),y,T(x,z)). a(T(x,y),z,T(x,y)) = a(x,z,x). ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). x != L(T(y,z),u,T(y,w)) | x = L(T(y,z),u,y). (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). x != (y \ T(z,u)) * y | x = T((y \ z) * y,u). (x / y) \ T(x * K(y,z),(x / y) \ 1) = T((((x / y) \ 1) \ y) * ((x / y) \ 1),z). T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). T(x,y) \ (1 / (1 / T(x * K(z,x),y))) = (T(T(x,z),y) \ 1) * T(x,y). T(x,y) \ T(1 / (1 / (x * K(z,x))),y) = (T(T(x,z),y) \ 1) * T(x,y). T(x,y) \ T(1 / (K(x,z) / x),y) = (T(T(x,z),y) \ 1) * T(x,y). x != (T(T(y,z),u) \ 1) * T(y,u) | x = K(y \ 1,y) * K(z,T(y,u)). T(x,y) \ T(1 / (K(x,z) / x),y) = K(x \ 1,x) * K(z,T(x,y)). T(1 / (1 / x),y) \ T(1 / (K(x,z) / x),y) = K(z,T(x,y)). 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). 1 * (x \ R(T(x,y),z,u)) = K(R(x,z,u),y) * (x \ R(x,z,u)). K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). K(x,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w). x != K(R(R(y,K(z,u),w),v5,v6),u) | x = K(R(y,v5,v6),u). K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). x != K(R(y * K(z,u),w,v5),u) | x = K(R(K(z,u) * y,w,v5),u). K(R(x,K(y,z) * u,w),z) = K(R(K(y,z) * x,u,w),z). K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). x != K(R(K(y,z) * u,w,v5),z) | x = R(K(u,z),w * (K(y,z) * u),v5). K(R(x,K(y,z) * u,w),z) = R(K(x,z),u * (K(y,z) * x),w). R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). x != R(K(y,z),u * (K(w,z) * v5),v6) | x = R(K(y,z),u * v5,v6). K(R(x,K(y,z) * u,w),z) = R(K(x,z),u * x,w). R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). x != R(K(y,z),u * y,w) | x = K(R(y,u,w),z). K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. x != K(y,R(R(z,K(u,y),w),v5,v6)) | x = K(y,R(z,v5,v6)). K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). x != K(y,R(z * K(u,y),w,v5)) | x = K(y,R(K(u,y) * z,w,v5)). K(x,R(y,K(z,x) * u,w)) = K(x,R(K(z,x) * y,u,w)). K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). T(x,R(K(y,x) * z,u,w)) = x * K(x,R(z,K(y,x) * u,w)). x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). T(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,K(y,x) * u,w)). T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). T(x,R(x \ y,z,u)) = T(x,R(T(x,w) \ y,z,u)). T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(T(x,z) * y,u),w)). K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,y),u),w)). x != K(y,T(T(T(y,z) * u,w),v5)) | x = K(y,T(T(y * u,w),v5)). K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). x != K(a(y,z,u),T(y,w)) | x = K(a(y,z,u),y). K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). 1 = K(a(x,y,z),x). K(a(x,y,z),x) = 1. T(a(x,y,z),x) = a(x,y,z). x * a(x,y,z) = a(x,y,z) * x. a(x,y,z) * x = x * a(x,y,z). (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). x * (y \ 1) != ((L(y,z,u) \ 1) * y) * (1 / y) | x = L(y,z,u) \ y. L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. (x * y) * (z * (((x * ((u / y) \ u)) \ u) / z)) = (x * (z * ((x \ (u / y)) / z))) * ((u / y) \ u). (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). T(x * (y / x),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). T(x * (y / x),z) / T(y,z) = K(x * K(y,z),(x / y) \ 1). K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). x != T(y * (z / y),u) / T(z,u) | x = K(y,y \ T(z,u)). K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). x != K(y * K(z,u),(y / w) \ 1) | x = K(K(z,u) * y,y \ w). K(x,x \ T(y,z)) = K(K(y,z) * x,x \ y). K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). x != T(y,z) \ R(T(y,z),u,y) | x = y \ R(y,u,y). K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). (x * y) \ (x * (y * z)) = L(z,y * K(u \ 1,u),x). L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). L(x,y * K(z \ 1,z),u) = L(x,y,u). L(x,K(y \ 1,y) * z,u) = L(x,z,u). L(x,y * (z \ 1),u) = L(x,y * (1 / z),u). L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). L(x,T((y \ 1) \ 1,z) \ u,w) = L(x,T(y,z) \ u,w). L(x,T(1 / y,z) \ u,w) = L(x,T(y \ 1,z) \ u,w). L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * ((K(u,z) * T(u,w)) \ 1),v5). L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). x != L(y,T(1 / z,u) \ 1,y) | x = T(y,T(z * y,u)) * K(z,T(y,u)). L(x,T(y \ 1,z) \ 1,x) = T(x,T(y * x,z)) * K(y,T(x,z)). T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(y \ 1,z) \ 1,x). L(x,y * (T(z,u) \ K(w,z)),v5) = L(x,y * (K(u,z) / T(z,w)),v5). L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). T(L(x,x \ y,x),z) = L(T(x,z),x \ (y * K(u,x)),x). L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). x != L(T(y,z),T(u,y),y) | x = L(T(y,z),u,y). L(T(x,y),x \ z,x) = L(T(x,y),z / T(x,u),x). L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). x != (y \ R(y,z \ 1,y)) / (T(y * (z \ 1),y) / y) | x = z. R(x,x \ 1,y \ R(y,x \ 1,y)) = x. R(x,x \ 1,a(y,x \ 1,y)) = x. x \ a(y,x \ 1,y) = (x \ 1) * a(y,x \ 1,y). (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). (x \ T(x * (y \ 1),x)) * R(T(y \ a(x,y \ 1,x),x) \ 1,z,u) = T((y \ a(x,y \ 1,x)) * R((y \ a(x,y \ 1,x)) \ 1,z,u),x). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). R(T(x,y),K(x,z),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). R(R(T(x,y),K(x,z),u),w,v5) * (K(x,z) * u) = (K(x,z) * u) * R((K(x,z) * u) \ (T(T(x,z),T(y,z)) * u),w,v5). (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ T(y * L(y \ z,u,w),x)). x != K(y,z \ T(z * u,y)) | x = K(y,u). K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,L(y \ z,u,w)). K(x,L((y * x) \ (z * x),u,w)) = K(x,L(y \ z,u,w)). K(x,L(y \ (z * x),u,w)) = K(x,L((y / x) \ z,u,w)). K(x,L((y / x) \ z,u,w)) = K(x,L(y \ (z * x),u,w)). K(x,L(y,z,u)) = K(x,L(w \ (((w / x) * y) * x),z,u)). K(x,L(y \ (((y / x) * z) * x),u,w)) = K(x,L(z,u,w)). L(K(x,y \ (((y / x) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). L(K(x,y \ (((x \ y) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). L(K(x,y),((z / x) * y) * x,u) = K(x,L(y,z,u)). K(x,L(y,z,u)) = K(L(x,(z / x) * y,u),y). K(L(x,(y / x) * z,u),z) = K(x,L(z,y,u)). x != K(y,z * ((u * z) \ u)) | x = 1. K(x,L(y * ((z * y) \ z),u,w)) = 1. x != K(y,L(z * ((u * z) \ u),z \ 1,u * z)) | x = K(y,a(u,z,z \ 1) \ 1). 1 = K(x,a(y,z,z \ 1) \ 1). K(x,a(y,z,z \ 1) \ 1) = 1. K(x,a(K(y,z),u,u \ 1)) = 1. T(x,a(K(y,z),u,u \ 1)) = x. T(x,a(K(y,z),u \ 1,u)) = x. T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). x != a(y,z \ 1,z) | x = y \ R(y,z \ 1,z). T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). x != T(K(y,z) * R(K(z,y),u,w),v5) | x = K(y,T(z,v5)) * R(K(z,T(y,v5)),u,w). K(x,y) \ R(K(x,y),z \ 1,z) = K(y,T(x,u)) * R(K(x,T(y,u)),z \ 1,z). K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u). x != K(y,T(z,u)) * w | x = K(u,K(z,y)) * (K(y,z) * w). K(x,y) \ R(K(x,y),z \ 1,z) = K(u,K(x,y)) * (K(y,x) * R(K(x,T(y,u)),z \ 1,z)). K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u). x != T(y,y \ (((y \ 1) * z) \ 1)) | x = T(y,z \ 1). T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). x != T(y,(z \ u) \ 1) | x = T(y,u \ z). T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). x != T(y,L(y * (z \ u),y \ 1,w) \ 1) | x = T(y,u \ (y \ z)). T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). x != T(y,z \ (u * (y \ 1))) | x = T(y,(z / (y \ 1)) \ u). T(x,y \ (x \ z)) = T(x,(y / (x \ 1)) \ z). T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). x != T(y,(z / (y \ 1)) \ u) | x = T(y,((y \ 1) \ z) \ u). T(x,y \ (x \ z)) = T(x,((x \ 1) \ y) \ z). T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). T(x,T(y,x \ 1) \ z) = T(x,(y * (x \ 1)) \ (x \ z)). T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). x != T(y,(z * (y \ 1)) \ (y \ u)) | x = T(y,R(z,y \ 1,y) \ u). T(x,T(y,x \ 1) \ z) = T(x,R(y,x \ 1,x) \ z). T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). x != T(y,T(z,y \ 1) \ u) | x = T(y,z \ u). T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). x != T(y,R(z,y \ 1,y) \ (y * u)) | x = T(y,(z * (y \ 1)) \ u). T(x,y \ (x * z)) = T(x,(y * (x \ 1)) \ z). T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). x != K(y * R(z,u,w),z) * K(y,K(z,v5)) | x = a(z,y,R(z,u,w)) * T(K(y,z),v5). T(K(x * R(y,z,u),y),w) = a(y,x,R(y,z,u)) * T(K(x,y),w). a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). x != T(K(y,z),u) * T(K(z,w),u) | x = T(K(z,w) * K(y,z),u). a(x,y,R(x,z,u)) = T(K(x,y) * K(y * R(x,z,u),x),w). T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). K(x \ (L(y,z,u) * w),T(y,L(y,z,u) \ x)) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). x != T(K(y,z),T(u,K(w,y))) | x = K(y,T(z,u)). R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). x != K(y,(z * (u * y)) \ w) | x = K(y,(z * u) \ (y \ w)). L(K(x,y),T(z,y * x),y * x) = K(x,((z / y) * y) \ (x \ (z * (y * x)))). K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). K(x,y \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). x != K(y,z \ (y \ (z * (u * y)))) | x = K(y,L(u,y,z)). L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). L(K(x,y),z,y * x) = K(x,L(y,x,((y * x) * z) / (y * x))). K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). x != (y * (z * u)) * K(u,L(z,u,y)) | x = y * (u * z). (x * y) * T(z * K(y,x),x * y) = z * (y * x). x * y != (z * u) * T(w * K(u,z),z * u) | (w * (u * z)) / y = x. (x * (y * z)) / (z * y) = x * K(y,z). (x / (y * z)) * K(y,z) = x / (z * y). K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). x != K(y,R(K(z,u),w,v5)) | x = K(y,K(u,R(z,w,v5))). K(x,K(a(y,z,u),T(w,y * (z * u)))) = K(x,K(R(y,z,u) \ y,R(w,y,z * u))). K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). x != y / (K(z \ 1,z) * u) | x = K(z,z \ 1) * (y / u). R(x,y * K(z \ 1,z),u) = K(z,z \ 1) * ((K(z \ 1,z) * ((x * y) * u)) / (y * u)). K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). x != K(y,T(z,L(z,u,w) \ v5)) | x = K(y,T(z,v5)). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). x != K(y \ z,T(u,y)) | x = K(z / y,u). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). R(x,y,z) = R(x,y * K(u \ 1,u),z). R(x,y * K(z \ 1,z),u) = R(x,y,u). R(x,y \ 1,z) = R(x,1 / y,z). R(x,1 / y,z) = R(x,y \ 1,z). R(x,y,z) = R(x,(y \ 1) \ 1,z). R(x,(y \ 1) \ 1,z) = R(x,y,z). 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. 1 / R(T(x,y),x \ 1,y * x) = (((1 / x) * (y * x)) \ (y * x)) \ 1. (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). a(R(x,y,z),u,x) = a(x,T(u,x),R(T(x,u),y,z)). a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). x != a(y,z,u) | x = a(T(y,z),T(z,y),u). a(R(x,y,z),u,x) = a(T(x,T(u,x)),T(T(u,x),x),R(T(x,u),y,z)). a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). x != a(T(y,z),T(u,y),R(T(y,z),w,v5)) | x = a(T(y,z),u,R(T(y,z),w,v5)). a(R(x,y,z),u,x) = a(T(x,u),T(u,x),R(T(x,u),y,z)). a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. x != R(y,z,R(y,u,w)) \ y | x = a(y,z,R(y,u,w)) \ 1. a(R(x,y,z),u,x) \ 1 = a(T(x,u),u,R(T(x,u),y,z)) \ 1. a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) / K(y,z). x != T(y / z,(u / z) \ u) | x = z \ y. T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ x) = (x / y) \ T(x,y). x != (y / z) \ T(y,z) | x = (y * z) / y. T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ x) = (x * y) / x. x / ((x * y) / x) = (T(x,y) / (x / y)) \ x. (T(x,y) / (x / y)) \ x = x / ((x * y) / x). (T(x * y,y) / x) \ (x * y) = (x * y) / (((x * y) * y) / (x * y)). (x * y) / (((x * y) * y) / (x * y)) = (T(x * y,y) / x) \ (x * y). x != (y * z) / ((u * z) / u) | x = y * K(z,u). (T(x * y,y) / x) \ (x * y) = x * K(y,x * y). x != ((y * z) / y) / ((y * (z * K(u,z))) / y) | x = K(z,T(u,y)). K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). K(x,((x \ y) * z) \ u) = K(x,((z * K(x \ y,z)) * y) \ (u * x)). K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). x != K(y,((z \ 1) * u) \ w) | x = K(y,((1 / z) * u) \ w). K(x,((x \ y) * z) \ u) = K(x,((1 / (K(z,x \ y) / z)) * y) \ (u * x)). K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). K(x,y * (x \ z)) = K(x,x \ (y * z)). K(x,x \ (y * z)) = K(x,y * (x \ z)). (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). T(1 / (1 / x),y) \ T(1 / (K(x,z * (x \ u)) / x),y) = K(x \ (z * u),T(x,y)). K((x * y) \ z,y) = K(y \ (x \ z),y). K(x \ (y \ z),y) = K(y \ (x \ z),y). x != K((y * z) \ u,z) | x = K((z * y) \ u,z). K(x \ (y \ z),x) = K((x * y) \ z,x). K((x * y) \ z,x) = K(x \ (y \ z),x). K(x \ ((x \ y) \ z),x) = K(y \ z,x). K((x \ y) \ z,L(x,u,w)) = K(L(x,u,w) \ ((x \ (L(x,u,w) \ y)) \ z),L(x,u,w)). K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). x != R(R(y,z / u,u),z,K(u \ z,u)) | x = R(y,u \ z,u). R(x,y / z,z) = R(x,z \ y,z). R(x,y,T(z,y)) = R(x,y,z). a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). x != R(K(y,(z / (u / w)) \ y),u / w,w) | x = K(y,u / ((y \ z) * w)). R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). x != K(y,L(z,y,u)) | x = K(L(y,z,u),z). K(x,y) = K(L(x,y,z),y). K(L(x,y,z),y) = K(x,y). x != K(y,L(z,y,((z * y) * u) / (z * y))) | x = L(K(y,z),u,z * y). K(x,y) = L(K(x,y),z,y * x). L(K(x,y),z,y * x) = K(x,y). L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). x != L(y,(z \ u) / y,z) | x = (z * ((z \ u) / y)) \ u. L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. K(x * (y \ z),y) = K(y \ (x * z),y). K(x \ (y * z),x) = K(y * (x \ z),x). K(x \ y,x) = K(K(z,y) * (x \ T(y,z)),x). K(K(x,y) * (z \ T(y,x)),z) = K(z \ y,z). K(K(x,y) * z,T(y,x) / z) = K((T(y,x) / z) \ y,T(y,x) / z). K((T(x,y) / z) \ x,T(x,y) / z) = K(K(y,x) * z,T(x,y) / z). (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,K(x,y),y * x). x != L(K(y,z),T(z,u) * w,v5) | x = K(y,L(z,w,v5)). K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). x != K(L(y \ z,y,u),L(y,w,v5)) | x = K(u \ (y \ (u * z)),L(y,w,v5)). K(x \ y,L(x,z,u)) = K(w \ (x \ (w * y)),L(x,z,u)). K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). K((x * (y \ z)) / x,L(x,u,w)) = K(((y / x) \ z) / x,L(x,u,w)). K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). L(x,y * z,K(z,y)) = L(x,K(z,y),y * z). L(x,K(y,z),z * y) = L(x,z * y,K(y,z)). L(x,K(y,z),z * y) != u | L(x,z * y,K(y,z)) = u. x != L(L(y,z,u),u * z,K(z,u)) | x = L(y,T(z,u),u). L(L(x,y,z),K(y,z),z * y) = L(x,T(y,z),z). x != y \ R(y,z,L(y,u,w)) | x = a(y,z,L(y,u,w)). a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). x != a(y,y \ z,L(T(y,y \ z),u,w)) | x = (L(y,u,w) * z) \ (z * L(T(y,y \ z),u,w)). a(x,x \ y,L(x,z,u)) = (L(x,z,u) * y) \ (y * L(T(x,x \ y),z,u)). (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). x != K(y / z,L(z,u,w)) | x = K(z \ y,L(z,u,w)). K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). x != (L(y,z,u) * w) \ (w * L(T(y,v5),z,u)) | x = K(w,L(y,z,u)) * K(L(y,z,u),v5). a(x,x \ y,L(x,z,u)) = K(y,L(x,z,u)) * K(L(x,z,u),x \ y). K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). x != K(y \ (z \ (y * u)),L(z,w,v5)) | x = K(z \ u,L(z,w,v5)). K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(L(y,z,u),L(y,z,u) \ x,L(y,z,u)). a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),x \ u). K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). x != L(K(y,y * ((z * u) \ z)),(z * u) \ z,u * z) | x = K(y,u \ y). K(x,x * ((y * z) \ y)) = K(x,z \ x). K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). L(K(x * y,y),x,z) = K(y * x,y). L(K(x * y,y),x,z) = K(x * y,y). x != L(K(y * z,z),y,u) | x = K(u \ (z * (u * y)),z). K(x * y,y) = K(z \ (y * (z * x)),y). K(x \ (y * (x * z)),y) = K(z * y,y). K((x / y) \ z,y) = K(y * (x \ z),y). K((x \ y) \ z,x) = K(x * (y \ z),x). x != K(y \ ((z \ u) * z),z) | x = K(y \ u,z). K(x * (y \ (x \ z)),x) = K(y \ z,x). K(x,y \ z) * K(x * (y \ z),x) = a(x,(z \ y) \ 1,x). T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). x != T(y,(z * (y \ 1)) \ u) | x = T(y,z \ (y * u)). T(x,x * (y \ z)) = T(x,y \ (x * z)). T(x,y \ (x * z)) = T(x,x * (y \ z)). x != T(y,z \ (y * u)) | x = T(y,z \ (u * y)). T(x,x * (y \ z)) = T(x,y \ (z * x)). T(x,y \ (z * x)) = T(x,x * (y \ z)). T(x,x * (y \ z)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. L(x,(y \ z) \ 1,x) = L(x,z \ y,x). x != T(1 / (1 / y),z) \ T(1 / (K(y,u) / y),z) | x = K(u,T(y,z)). K(x \ (y * z),T(x,u)) = K(y * (x \ z),T(x,u)). K(x \ y,T(x,z)) = K(y * (x \ 1),T(x,z)). K(x * (y \ 1),T(y,z)) = K(y \ x,T(y,z)). K(x * ((1 / (y \ z)) \ 1),T(1 / (y \ z),y)) = K((1 / (y \ z)) \ x,T(1 / (y \ z),T(y,z))). K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * ((1 / (x \ y)) \ 1),T(1 / (x \ y),x)). x != K(L(y,z,u) \ w,L(y,z,u)) | x = K(y \ w,L(y,z,u)). K((x \ y) \ z,L(x,u,w)) = K(x \ ((x \ (L(x,u,w) \ y)) \ z),L(x,u,w)). K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). x != K(y \ ((y \ z) \ u),L(y,w,v5)) | x = K(z \ u,L(y,w,v5)). K((x \ y) \ z,L(x,u,w)) = K((L(x,u,w) \ y) \ z,L(x,u,w)). K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). x != K((y \ z) \ u,y) | x = K(y * (z \ u),y). K((x \ y) \ z,L(x,u,w)) = K(L(x,u,w) * (y \ z),L(x,u,w)). K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). x != K((y \ z) \ u,L(y,w,v5)) | x = K(z \ (y * u),L(y,w,v5)). K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). K((1 / x) \ y,L(x,z,u)) = K(x \ ((x \ (1 / L(x,z,u))) \ y),L(x,z,u)). K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). K((1 / x) \ y,L(x,z,u)) = K((1 / L(x,z,u)) \ y,L(x,z,u)). K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). x != K((1 / y) \ z,y) | x = K(y * z,y). K((1 / x) \ y,L(x,z,u)) = K(L(x,z,u) * y,L(x,z,u)). K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). x != K((y / z) \ u,L(z,w,v5)) | x = K(y \ (u * z),L(z,w,v5)). K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). x != K((y \ z) * L(u,w,v5),L(u,w,v5)) | x = K(y \ (u * z),L(u,w,v5)). K((x \ y) * z,L(z,u,w)) = K(x \ (z * y),L(z,u,w)). K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). K(x * y,L(y,z,u)) * K(L(y,z,u),L(y,z,u) \ (x * L(y,z,u))) = a(L(y,z,u),L(y,z,u) \ (x * L(y,z,u)),L(y,z,u)). x != K(y \ (z * u),L(z,w,v5)) | x = K((z \ y) \ u,L(z,w,v5)). K((x \ y) * z,L(z,u,w)) = K((z \ x) \ y,L(z,u,w)). K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). x != K(y \ (z * u),L(z,w,v5)) | x = K(y \ (u * z),L(z,w,v5)). K((x \ y) * z,L(z,u,w)) = K(x \ (y * z),L(z,u,w)). K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). x != K((y \ z) \ (u * w),L(u,w,y)) | x = K(z \ (y * (u * w)),u). K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). x != K(y \ (z * u),L(u,w,v5)) | x = K((y / u) \ z,L(u,w,v5)). K((x \ y) * z,L(z,u,w)) = K((x / z) \ y,L(z,u,w)). K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). x != K(y,L(z,u,w)) * K(L(z,u,w),z \ y) | x = a(z,z \ y,L(z,u,w)). a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = a(x,x \ u,L(x,y,z)). a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),T(u,x)). (x \ y) * K((x \ 1) \ (x \ y),y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). x \ T(y,y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). x \ T(y,((x \ 1) \ (x \ y)) \ z) = x \ T(y,y \ z). K(x,y \ T(z,z \ x)) = K(x,y \ z). K(x,y \ ((z \ x) \ x)) = K(x,y \ z). x != K(y,L(z,u \ 1,u) \ u) | x = K(y,((u \ 1) * z) \ 1). K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). x != R(y,z,u) * K(w,R(y,z,u)) | x = R(y * K(w,y),z,u). ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). x * (K(y,z) * R(K(z,T(y,u)),w,v5)) != K(z,y) \ R(K(z,y),w,v5) | x = K(u,K(y,R(z,w,v5))). K(x,K(y,z)) = K(x,K(z,R(y,u \ 1,u))). K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). x * K(y,K(z,x)) = T(x,K(y,R(z,u,u \ 1))). T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). K(x,K(y,z * u)) = K(x,K(y,z / (u \ 1))). K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). K(x,K(y,(z \ 1) \ u)) = K(x,K(T(y,u),u * z)). K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). x != K(y,K(z,(u \ 1) / (w / u))) | x = K(z,(T(w,y) / u) / (w / u)). K(x,K(y,z)) = K(x,(T(z,y) / u) / (z / u)). K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). x != R(K(y,K(z,u)),w,v5) | x = K(z,K(u,R(y,w,v5))). K(x,K(y,z)) = K(y,K(z,R(x,y / u,u))). K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. K(x,K(y,z)) * u = T(z,K(x,y)) / (u \ z). T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. x != (K(y,z) * u) \ T(y,z) | x = L(u \ y,u,K(y,z)). x \ y = L(x \ y,x,K(y,K(z,u))). L(x \ y,x,K(y,K(z,u))) = x \ y. a(K(x,K(y,z)),u,u \ x) = 1. a(K(x * y,K(z,u)),x,y) = 1. a(K(K(x,y),z),u,u \ z) = 1. a(K(x,K(y,z * u)),z,u) = 1. x != 1 | x = K(y,K(z,u)) * K(y,K(z,u)). a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). x != T(y,K(z \ u,R(w,z,z \ 1))) | x = T(y,K(w,T(u * (z \ 1),z))). T(x,K(y,z \ u)) = T(x,K(y,T(u * (z \ 1),z))). T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). T(x,K(y,z * (x \ 1))) = T(x,K(y,x \ z)). x != T(y,K(z,y \ u)) | x = T(y,K(z,u)). T(x,K(y,z * (x \ 1))) = T(x,K(y,z)). T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). ((x * (K(y,z) * R(z,u,w))) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). R((x * (K(y,z) * z)) / (x * K(y,z)),u,w) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). R((x * (y * K(z,y))) / (x * K(z,y)),u,w) * x = (x * (K(z,y) * R(y,u,w))) * K(y,z). R((x * y) / x,z,u) * x = (x * (K(w,y) * R(y,z,u))) * K(y,w). x * R(y,z,u) = (x * (K(w,y) * R(y,z,u))) * K(y,w). (x * (K(y,z) * R(z,u,w))) * K(z,y) = x * R(z,u,w). (x * (R(y,z,u) * K(w,y))) * K(y,w) = x * R(y,z,u). L(K(x,y),R(x,z,u),w) = K(x,y). x != L(K(y,z \ u),u,z \ 1) | x = K(y,(z \ 1) * u). K(x,y \ R(x,z,u)) = K(x,(y \ 1) * R(x,z,u)). K(x,(y \ 1) * R(x,z,u)) = K(x,y \ R(x,z,u)). K(x,y \ R(x,z,u)) = K(x,R(x,z,u) * (y \ 1)). K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,z,K(y,y \ 1) * u). (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). x \ (R(x,y,x) * T(x * (R(x,y,x) \ K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). K(x,(y * (z \ 1)) \ u) = K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u). K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). x != K(y,(z * (u / y)) \ w) | x = K(y,(z * u) \ (w * y)). K(x,(y * (z \ 1)) \ u) = K(x,(y * (z \ x)) \ (u * x)). K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). x != K(y,(z * ((u \ y) \ y)) \ w) | x = K(y,(z * u) \ w). K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). K(x,(((y \ x) \ 1) * (1 / (1 / z))) \ u) = K(x,((1 / (K(z,(y \ x) \ 1) / z)) * y) \ (u * x)). K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,x * y)). K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x * y,T(x,z)) \ 1,K(x * y,x),y). x \ (R(x,y,x) * T(x * (T(x,y) \ 1),z)) = (x \ R(x,y,x)) * T(K(y,x),z). x \ (R(x,y,x) * T(K(y,x),z)) = (x \ R(x,y,x)) * T(K(y,x),z). x \ (R(x,y,x) * K(y,T(x,z))) = (x \ R(x,y,x)) * T(K(y,x),z). R(x,y,x) * (x \ K(y,T(x,z))) = (x \ R(x,y,x)) * T(K(y,x),z). (x \ R(x,y,x)) * T(K(y,x),z) = R(x,y,x) * (x \ K(y,T(x,z))). x != R(y,z,u) * (y \ K(w,T(y,v5))) | x = T(y,T(w,v5)) \ R(y,z,u). (x \ R(x,y,x)) * T(K(y,x),z) = T(x,T(y,z)) \ R(x,y,x). x != (y \ R(y,z,y)) * T(K(z,y),u) | x = K(z * y,y) * K(z,K(y,u)). T(x,T(y,z)) \ R(x,y,x) = K(y * x,x) * K(y,K(x,z)). K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). K(x * y,T(y,z)) = T(y,T(x,z)) \ R(y,x,y). T(x,T(y,z)) \ R(x,y,x) = K(y * x,T(x,z)). x != T(y,T(z,u)) \ R(y,w,y) | x = K(z,T(y,u)) * a(y,w,y). K(x * y,T(y,z)) = K(x,T(y,z)) * a(y,x,y). K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). K(x / y,z) * a(z,y \ x,z) = K((y \ x) * z,T(z,y)). K(x * y,T(y,z)) \ (K(x,T(y,z)) * y) = L(y,x,y). K(x * y,T(y,z)) \ (y * K(x,T(y,z))) = L(y,x,y). K(x,T(y * x,z)) * (x * K(y,T(x,z))) = L(x,y,x). T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,y,x). x != T(y,T(z * y,u)) * K(z,T(y,u)) | x = L(y,T(z \ 1,u) \ 1,y). L(x,y,x) = L(x,T(y \ 1,z) \ 1,x). L(x,T(y \ 1,z) \ 1,x) = L(x,y,x). x != L(y,T((z \ 1) \ 1,u) \ w,v5) | x = L(y,T(z,u) \ w,v5). L(x,y \ 1,x) = L(x,T(y,z) \ 1,x). L(x,T(y,z) \ 1,x) = L(x,y \ 1,x). L(x,(y \ z) \ 1,x) = L(x,(z / y) \ 1,x). L(x,(y / z) \ 1,x) = L(x,(z \ y) \ 1,x). x != L(y,(z \ u) \ 1,y) | x = L(y,u \ z,y). L(x,(y / z) \ 1,x) = L(x,y \ z,x). L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,y)). L(K(x * y,T(x,z)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,y)). K(x \ (y * (x * z)),y) * K(x,K(y,z)) = L(K(y * z,T(y,x)),z,x). x != L(K(y * z,T(y,u)),z,u) | x = K((u / (u * z)) \ y,y). K(x \ (y * (x * z)),y) * K(x,K(y,z)) = K((x / (x * z)) \ y,y). K(x * y,y) * K(z,K(y,x)) = K((z / (z * x)) \ y,y). K((x / (x * y)) \ z,z) = K(y * z,z) * K(x,K(z,y)). K((x / (x * y)) \ z,z) = K(z * y,z) * K(x,K(z,y)). x != K(y * z,y) * K(u,K(y,z)) | x = K(y * z,T(y,u)). K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). K((x / y) \ z,z) = K(z * (x \ y),T(z,x)). K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). K((x / y) \ z,z) = K((x \ y) * z,T(z,x)). K((x \ y) * z,T(z,x)) = K((x / y) \ z,z). x != K((y \ z) * u,T(u,y)) | x = K(z / y,u) * a(u,y \ z,u). K((x / y) \ z,z) = K(y / x,z) * a(z,x \ y,z). K(x / y,z) * a(z,y \ x,z) = K((y / x) \ z,z). K(x,y / z) * K((z / y) \ x,x) = a(x,z \ y,x). x != K(y,z) * K(u,y) | x = T(y,u) \ T(y,z). a(x,y \ z,x) = T(x,(y / z) \ x) \ T(x,z / y). T(x,(y / z) \ x) \ T(x,z / y) = a(x,y \ z,x). T(x,(y / z) \ x) \ T(x,(y / z) \ 1) = a(x,y \ z,x). T(x,(y / z) \ x) \ T(x,x \ ((y / z) \ x)) = a(x,y \ z,x). a(x,y \ z,x) = T(x,(y / z) \ x) \ ((x \ ((y / z) \ x)) \ ((y / z) \ x)). T(x,(y / z) \ x) \ ((x \ ((y / z) \ x)) \ ((y / z) \ x)) = a(x,y \ z,x). x != T(y,z \ y) \ ((y \ (z \ y)) \ (z \ y)) | x = a(y,z \ 1,y). a(x,y \ z,x) = a(x,(y / z) \ 1,x). a(x,(y / z) \ 1,x) = a(x,y \ z,x). a(x,y \ 1,x) = a(x,(y * z) \ z,x). a(x,(y * z) \ z,x) = a(x,y \ 1,x). K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). a(x,y,K(z,z \ 1) * u) = a(x,y,u). x != a(y,z,K(u,u \ 1) * w) | x = ((y * (z * (K(u,u \ 1) * w))) \ ((y * z) * w)) * K(u,u \ 1). a(x,y,z) = ((x * (y * (K(u,u \ 1) * z))) \ ((x * y) * z)) * K(u,u \ 1). ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x,T(x * y,z)),K(x * y,x),y). x != L(K(y,T(z,u)),K(z,w),v5) | x = K(y,T(z,u)). (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). K(x,T(y / z,y) \ y) \ (K(x,z) * K(y,K(u,y * K(x,z)))) = K(y,T(y * K(x,z),u)). K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). x != K(y,T(y * K(z,u),z)) | x = K(y,y * K(z,u)). K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). x != K(y,T(z / u,z) \ z) * K(u,y) | x = K(z * K(y,u),z). K(x,x * K(y,z)) = K(x * K(z,y),x). K(x * K(y,z),x) = K(x,x * K(z,y)). T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). a(x,K(y,y \ 1) * z,u) = a(x,z,u). a(x,(y \ 1) \ 1,z) = a(x,y,z). a(x,y * K(z,z \ 1),u) = a(x,y,u). (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1). R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u). R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). x != y / (y / R(K(z,u),w,v5)) | x = (R(K(z,u),w,v5) \ y) \ y. R(T(K(x,y),z),u,w) = (R(K(x,y),u,w) \ z) \ z. (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). x != K(y \ 1,y) * (z \ 1) | x = z \ K(y \ 1,y). (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). x * y != (z \ 1) * (L(z \ 1,u,w) \ z) | x \ (L(1 / z,u,w) \ 1) = y. (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). a(T(x,y),z,R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. a(x,x \ y,R(x,z,u)) = a(T(x,w),T(x,w) \ y,R(x,z,u)). a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). (K(x,T(y,z)) * K(y,T(u,z))) \ 1 = (K(y,u) * K(x,y)) \ K(K(y,u) * K(x,y),z * K(u,y)). x / T((K(y,z) * K(u,y)) * x,K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. x / T(K(y,z) * (K(u,y) * x),K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. T(x,L(T(T(y * z,z) / y,y * K(z,y * z)),u,w)) = T(x,L((y * z) / y,u,w)). ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). x != y \ (z * K(u,y)) | x = T(z / T(y,u),y). ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(((x / y) * (y * K(x,z))) / T(x,z),x). T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). x != R(K(y,z) * R(K(z,y),u,w),K(z,y),u * w) | x = ((K(z,y) * u) * w) / (K(z,y) * (u * w)). K(x,y) * R(K(y,x),z,u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). ((K(x,y) * R(K(y,x),z,u)) * K(y,w)) \ (((K(x,y) * R(K(y,x),z,u)) * K(y,w)) * v5) = L(v5,K(y,w),R(K(x,y) * R(K(y,x),z,u),K(y,w),v5)). L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). x != (y * (z * ((y \ u) / z))) / u | x = K(z,u / (y * z)). K(x,y / ((z * x) * u)) = K(x,y / ((z * u) * x)). K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). K(x,y / (x * (z * u))) = K(x,y / ((z * x) * u)). K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). K(T(x,y * z),u / (x * (y * z))) = K(T(x,y * z),u / ((y * T(x,y * z)) * z)). K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * (y * (y \ z)))). K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). x != K(y,z / ((u * y) * w)) | x = K(y,z / ((y * u) * w)). K(x,y / (x * (z * u))) = K(x,y / ((x * z) * u)). K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). T(x,y / ((x * z) * u)) = x * K(x,y / (x * (z * u))). x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). K(x,((y * x) * z) / (x * z)) = L(K(x,y),z,y * x). L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). L(K(x,y),z,y * x) = K(x,R(y,x,z)). R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). x != L(K(y,z),u,z * y) | x = K(y,z). K(x,R(y,x,z)) = K(x,y). x != K(y,R(T(z,u),y,u)) | x = ((z * y) * u) \ ((y * z) * u). K(x,T(y,z)) = ((y * x) * z) \ ((x * y) * z). ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). x != K(y,R(z,y,u)) | x = K(R(y,z,u),z). K(x,y) = K(R(x,y,z),y). K(R(x,y,z),y) = K(x,y). x != K(y,R(y \ (z / u),y,z / (z / u))) | x = K(y,z / (u * y)). K(x,x \ (y / z)) = K(x,y / (z * x)). K(x,y / (z * x)) = K(x,x \ (y / z)). K(x \ y,x) = R(K(x \ y,x),y,z). R(K(x \ y,x),y,z) = K(x \ y,x). K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). x != K(y,z) | x = K(R(y,z,u),z). K(R(x,y,z),y) = K(R(x,y,u),y). x * K(R(x,y,z),y) = T(x,R(y,x,u)). T(x,R(y,x,z)) = x * K(R(x,y,u),y). K(x / (y * z),y) = K(y \ (x / z),y). K(x,y / (x * z)) = K(x,x \ (y / z)). x != K(y,z / (u * y)) | x = K(y,(y \ z) / u). K(x,x \ (y / z)) = K(x,(x \ y) / z). K(x,(x \ y) / z) = K(x,x \ (y / z)). x != K(y,z / ((u * w) * y)) | x = K(y,z / ((u * y) * w)). K(x,x \ (y / (z * u))) = K(x,y / ((z * x) * u)). K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). x != y * K(R(y,z,y),u) | x = T(y,u). T(x,R(y,x,z)) = T(x,y). T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). x != K(y / (z * u),z) | x = K((z \ y) / u,z). K(x \ (y / z),x) = K((x \ y) / z,x). K((x \ y) / z,x) = K(x \ (y / z),x). x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). K(x,y / z) = K(x,x \ ((x * y) / z)). K(x,x \ ((x * y) / z)) = K(x,y / z). K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). x != K(y,R(R(z,u,w),u * w,v5)) | x = R(K(y,R(z,u,w)),(z * u) * w,v5). K(x,R(y,x * z,u)) = R(K(x,R(y,x,z)),(y * x) * z,u). R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). x != K(y,z / (((y \ u) * y) * w)) | x = K(y,z / (u * w)). K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). x != K(y \ (z / u),T(y,u)) | x = K(y \ (z / u),T(y,z)). K(x \ (y \ z),y) = K(y \ (z / x),T(y,z)). K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). (x * K(y \ (z \ u),z)) \ x = K(T(z,u),z \ (u / y)). K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. x != K(y,y \ ((y * z) / u)) | x = K(y,z / u). K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. T(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). K(x,T(x \ y,z)) = K(x,(y \ z) \ (x \ z)). K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). x != K(y,(z \ ((1 / u) \ z)) \ (y \ ((1 / u) \ z))) | x = K(y,L(y \ T(z,u),y,z \ ((1 / u) \ z))). K(x,T(x \ y,(1 / z) \ y)) = K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). x != K(y,R(z,u,w)) * ((z * u) * w) | x = (z * (K(y,z) * u)) * w. (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. (K(x,y) * z) * T(y * x,z) = (x * y) * z. x != (K(y,z) * u) * T(z * y,u) | x = (z * y) * (K(y,z) * u). (x * y) * z = (y * x) * (K(x,y) * z). (x * y) * (K(y,x) * z) = (y * x) * z. L(x,K(y,z),z * y) = x. L(x,y * z,K(z,y)) = x. x != L(L(y,z,u),u * z,K(w,u)) | x = L(y,z,u * K(w,u)). L(x,y,z) = L(x,y,z * K(y,z)). L(x,y,z * K(y,z)) = L(x,y,z). x != L(L(y,z,u),u * z,K(z,u)) | x = (z * u) \ (u * (T(z,u) * y)). L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). L(x,y,z) = L(x,y,T(z,y)). L(x,y,T(z,y)) = L(x,y,z). L(x,y \ z,y) = L(x,y \ z,(y \ z) \ z). L(x,y \ z,(y \ z) \ z) = L(x,y \ z,y). (x * (T(y,x) * z)) / L(z,y,x) = y * x. T(R(x,y,z),u / R(x,y,z)) = R(T(x,(u * (y * z)) / ((x * y) * z)),y,z). R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). x != T(y,z / y) | x = T(y,y \ z). R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). x != K(y,T(y \ z,u \ z)) | x = K(y,T(y \ z,u)). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). x != K(y,T(z,u \ 1)) | x = K(y,T(z,u)). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). x != K(y,L(z,y,u)) | x = K(y,z). K(x,T(x \ y,z)) = K(x,x \ T(y,z)). K(x,x \ T(y,z)) = K(x,T(x \ y,z)). x != K(y,y \ T(z,u)) | x = K(K(z,u) * y,y \ z). K(x,T(x \ y,z)) = K(K(y,z) * x,x \ y). K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). T(K(x,y) * z,z \ x) = K(z,T(z \ x,y)) * (K(x,y) * z). K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). x != K(y,T(y \ z,u)) * (K(z,u) * y) | x = T(y,y \ z) * K(z,u). T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). T(a(K(x,y),z,z \ x),x) = ((x / z) * (z * K(y,x))) \ ((y * x) / y). ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). x != T(a(K(y,z),u,w),y) | x = a(K(y,z),u,w). ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). x != ((y / z) * (z * K(u,y))) \ ((u * y) / u) | x = a(y / z,z,K(u,y)). a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). x != T(y * z,u) * a(y,z,K(u,y * z)) | x = y * (z * K(y * z,u)). (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). (K(x * y,z) * y) * T(x,y) != x * u | y * K(x * y,z) = u. R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). R(T(x,x \ y),z,u) = R(T(x,R(x,z,u) \ y),z,u). R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). (R(x,y,z) \ u) \ u = R(T(x,x \ u),y,z). R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). x != R(T(y,y \ z),u,w) | x = R((y \ z) \ z,u,w). (R(x,y,z) \ u) \ u = R((x \ u) \ u,y,z). R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. R(T(x,y),z,u) = (R(x,z,u) \ (x * y)) \ (x * y). (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). R(x \ y,z,u) = (R(y / x,z,u) \ y) \ y. (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. K(x,R(y \ x,z,u) \ w) = K(x,R(x / y,z,u) \ w). K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). (x * y) \ (x * (R(x,z,u) * y)) = R(T(x,R(x,z,u) * y),z,u). R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). x != (y * z) \ (y * (u * z)) | x = L(T(u,z),z,y). R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). x != L(R(T(y,z),u,w),z,y) | x = R(T(y,y * z),u,w). R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). K(x * y,R(x,z,u)) = K(R(x,z,u) * y,R(x,z,u)). K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). x != K(y * z,R(y,u,w)) | x = K(z * y,R(y,u,w)). K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). K(x \ y,R(x,z,u)) = K(R(x,z,u) \ y,R(x,z,u)). K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). x != (y \ ((y * z) / y)) \ z | x = (y \ z) \ T(z,y). R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). R((x \ y) \ T(y,x),z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(T(x * K(x \ u,x),u),y,z). R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). R(L(x,x \ y,x),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u) = a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). x != K(y,T(z / (y * u),u)) | x = K(y,u \ (y \ z)). K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). x != K(y,T(z / ((u * T(y,w)) * v5),v6)) | x = K(y,T(z / ((u * y) * v5),v6)). K(x,(y * z) \ (x \ u)) = K(x,T(u / ((y * x) * z),y * z)). K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). x != K(y,T(z / ((u * y) * w),u * w)) | x = K(y,((u * y) * w) \ z). K(x,(y * z) \ (x \ u)) = K(x,((y * x) * z) \ u). K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). x != K(y,(((y \ z) * y) * u) \ w) | x = K(y,(z * u) \ w). K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * (x \ y),T(1 / (x \ y),x)). x != K(y,T(1 / (z \ u),z)) | x = K(y,z / u). K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * (x \ y),x / y). a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). x != K(y,(z * (u / (1 / w))) \ v5) | x = K(y,(z * (u / (w \ 1))) \ v5). K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (y \ 1))) \ u). (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). ((K(x,y) * z) * K(y,x)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). x != T(y,K(z,u)) * K(w,z) | x = T(y * K(w,z),K(z,u)). ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). x != (K(y,z) * (K(z,u) * w)) * (K(z,y) * K(u,z)) | x = w * K(K(y,z) * K(z,u),w). T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). T(T(x,K(y,z)),K(y,u)) = x * K(K(u,y) * K(y,z),x). x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). x != (K(y,T(z,u)) * K(z,w)) \ v5 | x = K(z,T(y,u)) * (K(w,z) * v5). (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(T(y,u),x) * 1). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)). x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). x != K(y,((1 / (K(z,y \ u) / z)) * u) \ (w * y)) | x = K(y,((y \ u) * z) \ w). K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). K(x,y) = R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z). R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). R(K(x,y),L(y,z,u),w) = K(x,y). x != R(K(y / (z / u),w),y,u) | x = K((y * u) / z,w). K(L(x,y,z) / (u / w),x) = K((L(x,y,z) * w) / u,x). K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). x != K(L(y,z,u) / w,y) | x = K(w \ L(y,z,u),y). K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). x != K((L(y,z,u) * w) / v5,y) | x = K((((L(y,z,u) \ v5) \ w) \ w) \ w,y). K((x / y) \ L(z,u,w),z) = K((((L(z,u,w) \ x) \ y) \ y) \ y,z). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(y,T(x,u)) * 1). (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * K(y,T(x,u)). L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (K(x,x \ y) * T(y,z)). x != (y * (z / y)) \ (K(y,y \ z) * T(z,u)) | x = K(z,u). L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = K(y,z). x != L(y,z \ u,T(z,z \ u)) | x = L(y,u / z,z). K(x,y) = L(K((z \ 1) \ (z \ x),y),x / z,z). L(K((x \ 1) \ (x \ y),z),y / x,x) = K(y,z). K(R(x \ y,z,u),w \ (x \ y)) = K(R(x \ y,z,u),w \ (y / x)). K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). K(R(x \ (x * y),z,u),w * K(x,y)) = K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))). K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). (K(x,y) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. K(x,y) * (K(z,y) * u) = (K(z,y) * K(x,y)) * u. (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). ((x * y) / x) \ (y * (K(x,y) * z)) = L(z,T(y,u) \ ((x * y) / x),T(y,u)). L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). x != ((y * z) / y) \ (z * u) | x = K(z,y) * u. L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. L(x,K(y,z) * K(u,z),T(z,u)) = x. x != (L(y,z \ u,z) * u) \ (y * u) | x = a(z,z \ u,T(y,u)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). x != T(y \ 1,z * y) * L(T(y \ 1,y * z) \ 1,u,w) | x = T(y \ L(y,u,w),z * y). T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). T(x \ L(x,y,z),x * u) = T(x \ L(x,y,z),u * x). T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). x != K(y,K(z / (u \ 1),w)) | x = K(y,K(w,z * u)). K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,((x \ L(x,y,z)) / v5) * v5)). K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). K(x,K(y * z,y \ L(y,u,w))) = K(y \ L(y,u,w),K(z * y,x)). K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. x != K(y,z / ((u * (K(w,y) * v5)) * v6)) | x = K(y,z / ((u * v5) * v6)). K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(x,y) * (K(z,x) * u)) / (1 * (K(x,y) * K(z,x)))). (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). x != R(y,z,y) | x = T(y * K(z * y,y),z). R(x,y,L(x,z,u)) = T(x * K(y * x,x),y). T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). x != K(y * z,y) | x = K(z,y) * a(y,z,y). K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). x != K((L(y,z,u) \ w) * L(y,z,u),y) | x = K(w,y). K(x * (L(x,y,z) \ u),x) = K(u,x). x != K(y * (z \ (y \ u)),y) | x = K(z \ u,y). K(x \ y,x) = K(L(x,z,u) \ y,x). K(L(x,y,z) \ u,x) = K(x \ u,x). K(x / L(y,z,u),y) = K(y \ x,y). K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. a(x,y,L(x,z,u)) = a(x,y,x). (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,v5,v6)). x != K(y \ (z * (u * w)),w) | x = K(y \ (z * (w * u)),w). K(x * (y \ (z * u)),x) = K(y \ (z * (x * u)),x). K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). x != K(y \ (z * (u * w)),u) | x = K(((z \ y) \ w) * u,L(u,w,z)). K(x * (y \ (z * u)),x) = K(((z \ y) \ u) * x,L(x,u,z)). K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). K(x,(y * ((y \ z) / u)) \ z) = K(x,L(u,y \ z,y)). L(K(x,y),z,u) = K(L(y,z,u),x) \ 1. K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). x != L(K((y \ 1) \ (y \ z),u),z / y,y) | x = K(z,u). K((x \ 1) \ (x \ y),L(z,y / x,x)) = K(y,z). x != L(y,K(z,u),u * z) | x = y. K(x,L(y,K(z,u),u * z)) = K(x,y). x != L(K(y \ z,u),z,z \ 1) | x = K(((z \ 1) * y) \ 1,u). K(x \ y,L(z,y,y \ 1)) = K(((y \ 1) * x) \ 1,z). K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). K(x,L(y,z,u)) * a(u,z,K(x,y)) = K(x,y). ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). K(x,L(y,T(z,u),u)) = K(x,L(y,z,u)). L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. K(x,L(y,z \ u,z)) = K(x,L(y,u / z,z)). K(x,L(y,z / u,u)) = K(x,L(y,u \ z,u)). K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. K(L(x,y,z),u) * a(z,y,K(x,u)) = K(x,u). x * a(y,z,K(u,x)) = T(x,L(u,z,y)) * K(u,x). T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). x * a(y,z,K(u,w)) != K(u,w) | x = K(u,L(w,z,y)). K(L(x,y,z),u) = K(x,L(u,y,z)). K(x * y,z) = K((x \ 1) \ y,L(z,x \ 1,x)). K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). (x / y) * K(z,L(y,u,w)) = x / T(y,L(z,u,w)). K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). x != K(y,z) * K(L(z,u,w),y) | x = a(w,u * z,K(y,z)). a(x,y,K(z,u)) = a(x,y * u,K(z,u)). a(x,y * z,K(u,z)) = a(x,y,K(u,z)). x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). x * K(y,z) != a(u,w,K(y,z)) | x = K(z,L(y,w,u)). K(x,L(y,z,u)) = K(x,L(y,z * x,u)). K(x,L(y,z * x,u)) = K(x,L(y,z,u)). K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). K((x \ 1) \ y,z) = K(x * y,(x \ 1) \ (x \ z)). K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). K(x,(y \ 1) \ (y \ z)) = K((y \ 1) \ (y \ x),z). K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). x != K((y \ 1) \ (y \ z),L(u,z / y,y)) | x = K(z,u). K(x,(y \ 1) \ (y \ L(z,x / y,y))) = K(x,z). K(x,L((y \ 1) \ (y \ z),x / y,y)) = K(x,z). x != K(y,L(z,u / w,w)) | x = K(y,L(z,w \ u,w)). K(x,y) = K(x,L((z \ 1) \ (z \ y),z \ x,z)). K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K(x,z). x != K(((y \ z) / u) \ z,(y * ((y \ z) / u)) \ z) | x = K(((y \ z) / u) \ z,u). K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). x != K((y \ 1) \ (y \ z),u) | x = K(z,(y \ 1) \ (y \ u)). K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,(x \ 1) \ (x \ L(z,x \ y,(x \ y) \ 1))). K(x,(y \ 1) \ (y \ L(z,y \ x,(y \ x) \ 1))) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). x != (y / z) * K(u,L(z,w,v5)) | x = y / T(z,L(u,w,v5)). x * a(y,z,K(u,x)) = (u * x) / T(u,L(x,z,y)). (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). (x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). x != K((y / z) \ u,L(z,w,v5)) | x = K((y \ u) * z,L(z,w,v5)). K(((x \ y) / z) \ y,z) = K(((x \ y) \ y) * z,L(z,x \ y,x)). K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). x != (y * (z * R(u,w,u))) / (y * (z * u)) | x = L(a(u,w,u),z * u,y). a(L(x,y,z),u,L(x,y,z)) = L(a(x,u,x),y * x,z). L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). L(a(x,y,x),z,u) = a(L(x,z / x,u),y,L(x,z / x,u)). a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). (L(x,y,z) * K(u,x)) * u = (x \ (L(x,y,z) * u)) * x. (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. x != (y * K(z,u)) * z | x = y * T(z,u). (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). x != y \ (z * T(y,u)) | x = T(z * K(y,u),y). (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(T(x * K(x * u,x),u),y,z). R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). R(R(x,y,x),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). x != R(y,z,L(y,u,w)) | x = R(y,z,y). R(R(x,y,x),z,u) = R(R(x,z,u),y,R(x,z,u)). R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). R(R(x,y,x),z,u) * (z * u) = (R(x,y,R(x,z,u)) * z) * u. (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. (R(T(x,y),z,R(x,u,w)) * u) * w = (R(T(x,y),z,T(x,y)) * u) * w. (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). K(x,y) \ (y * a(z,u,K(x,y))) = L(K(x,y),u,z) \ T(y,K(x,y)). L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). x != K((y \ z) \ u,L(y,w,v5)) | x = K((z \ u) * y,L(y,w,v5)). K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). x != y \ T(y * K(z,u),z) | x = K(y,z) * K(z,u). x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). x != K(y,L(z,u,w)) * K(z,y) | x = a(w,u,K(z,y)). x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). a(x,y,K(z,u)) = a(x,y,K(u \ z,u)). a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). a(x,y,K(z,u)) = a(x,y,K(u * z,u)). a(x,y,K(z * u,z)) = a(x,y,K(u,z)). a(x,y,K(z,u)) = a(x,y,K(z * u,u)). a(x,y,K(z * u,u)) = a(x,y,K(z,u)). a(x,y,K(z,z \ u)) = a(x,y,K(u,z \ u)). a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). x != a(y,z,K(y,u)) | x = 1. a(x,y,K(x * z,z)) = 1. L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). L(K(x * y,y),z,x) = K(x * y,y). x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). a(x,y,K(z,z * u)) = a(x,y,K(z,u)). a(x,y,K(z,u)) = a(x,y,K(z,z \ u)). a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). x != a(y,z,K(u,u \ w)) | x = a(y,z,K(w,u \ w)). a(x,y,K(z,u)) = a(x,y,K(u,z \ u)). a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). a(x,y,K(z,u)) = a(x,y,K(u \ z,z)). a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). x != a(y,z,K(u \ w,w)) | x = a(y,z,K(u \ 1,w)). a(x,y,K(z,u)) = a(x,y,K(u \ 1,z)). a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). x * (K(x * y,y) * z) = K(x * y,y) * (x * z). K(x * y,y) * (x * z) = x * (K(x * y,y) * z). x != K(y * z,z) * (y * (K(z,y) * u)) | x = a(z,y,z) * (y * u). x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). x * (a(y,x,y) * z) = a(y,x,y) * (x * z). a(x,y,x) * (y * z) = y * (a(x,y,x) * z). a(x,y,x) * z = y * (a(x,y,x) * (y \ z)). x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. x != K(((y \ z) \ u) * w,L(w,u,y)) | x = K(w * (z \ (y * u)),w). K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). K(x * (y \ (z * u)),x) = K(((z \ y) \ u) * x,L(x,z \ y,z)). K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). x != K(((y \ z) \ z) * u,L(u,y \ z,y)) | x = K(((y \ z) / u) \ z,u). K(x * (y \ (z * y)),x) = K(((z \ y) / x) \ y,x). K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). x != K((y / z) \ u,z) | x = K(z * (y \ u),z). K(x * T(y,z),x) = K(x * ((y \ z) \ z),x). K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). x / (K(y * T(z,u),y) * x) = K(y,y * ((z \ u) \ u)). K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). x != K(y,z) \ (z * u) | x = T(z,y) * u. L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). K(x,L((y \ 1) \ (y \ z),y \ x,(y \ x) \ 1)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). x != T(y,y * K(z,u)) \ T(K(u,z) * y,y) | x = K(u,T(z,y)). K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R(R(1 / y,y,x) \ 1,z,u). x != R(y,z,u) * R(R(y,z,u) \ 1,w,v5) | x = R(y * R(y \ 1,w,v5),z,u). (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R((1 / y) * R((1 / y) \ 1,z,u),y,x). (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). (x * R(y,z,y)) / (x * y) = R(R(y,z,y) / y,y,x). R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). R(x \ R(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). R(a(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). a(x,y,x) = R(a(x,y,x),x,z). R(a(x,y,x),x,z) = a(x,y,x). x != R(y,R(z,u,w),u * w) | x = ((y * R(z,u,w)) * (u * w)) / ((z * u) * w). a(R(x,y,z),u,R(x,y,z)) = ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z). ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. T((x * K(y,x)) * (K(y,x) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). T(x * K(y,x),x \ K(x,y)) \ T(x,z) = T(x,z) * T(x \ K(x,y),(x \ K(x,y)) \ 1). T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),x) = ((x \ 1) \ K(z,x)) \ T(x,y). ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). x != T(y,z) * T(y \ K(y,u),y) | x = (y \ K(y,u)) * T(y,z). ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). K((T(x,y) \ ((x \ 1) \ K(z,x))) \ 1,((x \ K(x,z)) * T(x,y)) \ 1) = K(((x \ 1) \ K(z,x)) \ T(x,y),T(x,y) \ ((x \ 1) \ K(z,x))). (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (K(y,x) * (x \ 1)) * z. (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (T(x,y) \ 1) * z. (x \ 1) * (R(K(y,x),x \ 1,z) * z) = (T(x,y) \ 1) * z. (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). x != T(y,z) * ((T(y,z) \ 1) * u) | x = L(u,T(y,z) \ 1,y). L(x,y \ 1,y) = L(x,T(y,z) \ 1,y). L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). x != L(y,T(z,z \ u) \ 1,z) | x = L(y,((z \ u) \ u) \ 1,(z \ u) \ u). L(x,y \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). x != K(y,(((z \ y) \ 1) * u) \ w) | x = K(y,((y \ z) * u) \ w). K(x,((y \ 1) * z) \ 1) = K(x,((x \ (y \ x)) * z) \ 1). K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). x != K(y,((y \ z) * u) \ 1) | x = K(y,(z * u) \ y). K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). x != K(y,((z \ 1) * (z / u)) \ 1) | x = L(K(y,u),z,z \ 1). K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). L(K(x,y),z,z \ x) = L(K(x,y),z,z \ 1). L(K(x,y),z,z \ 1) = L(K(x,y),z,z \ x). K(x,L(y,z,z \ 1)) = L(K(x,y),z,z \ x). L(K(x,y),z,z \ x) = K(x,L(y,z,z \ 1)). K(x,L(y,z,z \ x)) = K(x,L(y,z,z \ 1)). K(x,L(y,z,z \ 1)) = K(x,L(y,z,z \ x)). K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)). x != K(y,L((z \ 1) \ (z \ u),z \ y,(z \ y) \ 1)) | x = K((((z \ y) \ 1) * (z \ 1)) \ 1,u). K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). x != K(y,L((z \ 1) \ (z \ u),z \ y,z)) | x = K(y,u). K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). x != K((y * ((z \ 1) \ 1)) \ u,w) | x = K((y * z) \ u,w). K(x,y) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y). K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). T(x,y) / ((1 / z) \ x) = K(x,y) / z. x != K(y,z) / z | x = 1 / T(z,y). T(x,y) / ((1 / y) \ x) = 1 / T(y,x). T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). (L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). x != (L(y \ 1,z,u) \ (y \ 1)) \ (L(1 / y,z,u) \ 1) | x = y. T(x,x \ (L(x \ 1,y,z) \ 1)) = x. T(x,x \ (((y * x) \ y) \ 1)) = x. (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). T(L(T(x,K(y,z)),K(y,z),K(u,y)),K(u,y)) = R(T(x,K(u,y) * K(y,z)),K(u,y),K(y,z)). R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(L(T(x,K(z,u)),K(z,u),K(y,z)),K(y,z)). R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)). R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)). x != R(y,K(z,u),K(u,w)) | x = y. T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). x != T(T(y,K(z,u)),K(z,w)) | x = y * K(K(w,z) * K(z,u),y). T(x,K(y,z) * K(u,y)) = x * K(K(u,y) * K(y,z),x). x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). x != T(y,K(z,R(u,w,v5))) | x = T(y,K(u,R(z,w,v5))). T(x,K(y,z) * K(R(u,w,v5),y)) = T(T(x,K(y,z)),K(u,R(y,w,v5))). T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). x != T(T(K(y,z) * u,w),K(y,z)) | x = T(u * K(y,z),w). T(K(x,y) * z,K(x,u) * K(y,x)) = T(z * K(x,y),K(x,u)). T(T(x,R(K(y,z),u,w)),K(z,v5)) = T(x,K(z,v5) * K(R(y,u / y,w),z)). T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. x != T(T(y,K(z,u)),K(z,w)) | x = T(y,K(z,u) * K(w,z)). T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). x * y != T(x,K(z,u) * K(w,z)) | y = K(K(w,z) * K(z,u),x). K(x,K(y,z) * K(u,y)) = K(K(z,y) * K(y,u),x). K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). x * y != K(z,K(u,w) * K(w,v5)) | K(K(w,u) * K(v5,w),z) / y = x. K(K(x,y) * K(z,x),u) / (K(y,x) * K(x,z)) = 1 / T(K(y,x) * K(x,z),u). K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). x != K(K(y,z) * K(u,y),w) | x = K(w,K(z,y) * K(y,u)). K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). T(K(x,y) * K(z,x),u) = (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)). (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. K(K(x,y) * K(y,z),u) = K(u,K(y,x)) * K(u,K(y,z)). K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). x != K(K(y,z) * K(z,u),w) | x = K(w,K(z,y) * K(u,z)). K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). K(x,K(y,z)) * K(x,R(K(y,u),w,v5)) = K(K(z,y) * K(y,(w * v5) / ((u \ w) * v5)),x). K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). x != K(y,K(z,u) * K(w,z)) | x = K(K(z,u) * K(w,z),y). K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). x != K(y,K(z,R(u,w,w \ y))) * K(y,K(z,u)) | x = a(K(v5,K(v6,v7)),v8,v8 \ v5). K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). x != K(y,K(z,u)) * w | x = K(u,v5) * (K(z,K(u,y)) * (K(u,v5) \ w)). K(x,K(y,z) * K(u,y)) = K(z,w) * (K(y,K(z,x)) * (K(z,w) \ K(x,K(y,u)))). K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)). K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). x != K(y,K(z,u) * K(w,z)) | x = K(y,K(u,z) * K(z,w)). K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)). x / T((K(y,z) * x) * K(z,u),K(z,y)) = ((1 * (K(z,u) * K(y,z))) * x) \ x. x != T(T(y,K(z,u)),K(u,w)) | x = T(y,K(z,u) * K(u,w)). T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). x != a(K(y,K(z,u * w)),u,w) | x = 1. K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(x,K(y,z) * K(z,R(y,u,w))). x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). (x * (K(y,z) * K(z,u))) / x = T(K(z,u) * K(y,z),x). T(K(x,y) * K(z,x),u) * u = u * (K(z,x) * K(x,y)). K(x,K(y,z) * K(z,R(y,u,w))) = K(x,K(y,R(z,u,w)) * K(z,y)). K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). x != T(T(y,K(z,u)),K(z,w)) | x = T(y,K(z,w) * K(u,z)). T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). x != T(y,K(z,u) * K(w,z)) | x = T(y,K(z,w) * K(u,z)). T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,R(u,w,v5)) * K(z,y)). T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). x != y / (K(z,u) * K(u,w)) | x = y * (K(w,u) * K(u,z)). 1 / T(K(x,y) * K(y,z),u) = K(K(y,x) * K(z,y),u) * (K(z,y) * K(y,x)). K(K(x,y) * K(z,x),u) * (K(z,x) * K(x,y)) = 1 / T(K(y,x) * K(x,z),u). K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). K(x,K(y,z)) * K(x,K(y,u)) = K(x * K(y,w),K(y,z) * K(u,y)). K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. K(K(x,y) * K(z,x),u) != w | K(u,K(x,y) * K(z,x)) = w. K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w. x / T(K(y,z) * (x * K(z,u)),K(z,y)) = ((1 * (K(z,u) * K(y,z))) * x) \ x. x != K(y * z,u) * (z * y) | x = K(z,y) * T(y * z,u). 1 / T(K(x,y) * K(y,z),u) = K(K(z,y),K(y,x)) * T(K(y,x) * K(z,y),u). K(K(x,y),K(y,z)) * T(K(y,z) * K(x,y),u) = 1 / T(K(z,y) * K(y,x),u). K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). x / ((x * K(y,z)) * K(u,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. ((1 * (K(x,y) * K(z,x))) * u) \ u = u / ((u * K(x,y)) * K(z,x)). ((1 * (K(x,y) * K(z,x))) * u) \ u = u / (u * (K(z,x) * K(x,y))). ((K(x,y) * K(z,x)) * u) \ u = u / (u * (K(z,x) * K(x,y))). x / (x * (K(y,z) * K(z,u))) = ((K(z,u) * K(y,z)) * x) \ x. x / (x * (K(y,z) * K(z,u))) = (K(z,u) * (K(y,z) * x)) \ x. 1 * T(K(x,y) * K(z,x),u) = 1 / T(K(y,x) * K(x,z),u). 1 / T(K(x,y) * K(y,z),u) = 1 * T(K(y,x) * K(z,y),u). 1 / T(K(x,y) * K(y,z),u) = T(K(y,x) * K(z,y),u). T(K(x,y) * K(z,x),u) \ 1 = T(K(y,x) * K(x,z),u). K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))). x != K(y,K(z,u)) * K(y,K(z,w)) | x = K(K(u,z) * K(z,w),y). K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. x != T(y,R((z * u) / z,w,v5)) | x = T(y,R(z / (z / u),w,v5)). ((R((x * y) / x,z,y) \ y) \ y) \ u = T((u / R(y,z,y)) * K(y,x),R(x / (x / y),z,y)). T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. x != T(y,R(z / (z / u),w,u)) | x = T(y,z / (z / u)). ((R((x * y) / x,z,y) \ y) \ y) \ u = T((u / R(y,z,y)) * K(y,x),x / (x / y)). T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. x != T(y * K(z,u),u / (u / z)) | x = ((u * z) / u) \ (y * z). ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). x != ((y * z) / y) \ (z * u) | x = T(z,y) * (z \ u). ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). R(x * K(y,x),z,x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. L(x \ 1,x,y) * L(L(x \ 1,x,y) \ 1,z,u) = L((x \ 1) * L((x \ 1) \ 1,z,u),T(x,w),y). L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). x != L(y,z,u) * L(L(y,z,u) \ 1,w,v5) | x = L(y * L(y \ 1,w,v5),z,u). L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w). L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)). K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). x != K(R(y,z,u),w * K(v5,y)) | x = K(R(y,z,u),w). K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). x != (1 / y) * R(y,z,u) | x = y \ R(y,z,u). T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. x != T(R(y \ z,y,u),y * u) | x = T((y * u) \ (z * u),y). (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T((x * (y * z)) \ (R(x,y,z) * (y * z)),x). T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T(a(x,y,z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). x != T(a(y,z,u),y) | x = a(y,z,u). (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = a(x,y,z). a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. a(x,y,z) = (a(x,y,z) \ 1) \ 1. (a(x,y,z) \ 1) \ 1 = a(x,y,z). x != T(y,R(z \ K(u,u \ 1),w,v5)) | x = T(y,R(z \ 1,w,v5)). T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). x != T(y,R((z \ 1) \ 1,u,w)) | x = T(y,R(z,u,w)). T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). T(x,R(y / T(z \ 1,u),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). x != ((y \ z) \ z) \ R((y \ z) \ z,u,R(y,w,v5)) | x = a(y,u,R(y,w,v5)). x \ (y \ ((R(x,z,R(x,u,w)) * (x \ y)) * x)) = a(x,K(x,v5) * z,R(x,u,w)). a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). x != y \ R(y,z,R(y,u,w)) | x = a(y,z,R(y,u,w)). a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). x != a(T(y,z),T(y,z) \ u,R(y,w,v5)) | x = a(y,y \ u,R(y,w,v5)). a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)). T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). K(x,y / (z * (x \ u))) = K(x,T((z * u) \ (y * x),z * u)). K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). K(x,((y * z) / u) \ x) = K(x,u / (y * (x \ z))). K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). x != R(K(y,(z / (u / w)) \ y),w \ u,w) | x = K(y,u / ((y \ z) * w)). K(x,y / ((z * (x \ u)) * w)) = K(x,y / ((x \ (z * u)) * w)). K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). K(x,(((y * z) * u) / w) \ x) = K(x,w / ((y * (x \ z)) * u)). K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). x != K(y,(z * u) / ((w * (y \ z)) * u)) | x = R(K(y,w \ y),z,u). K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). K(x,R(y,z,u) \ x) = R(K(x,y \ x),z,u). R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). R(K(x,y),z,u) = K(x,R(y \ x,z,u) \ x). K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). R(K(x,x * y),z,u) = K(x,R(y \ 1,z,u) \ x). K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). x != K(y,R(z \ 1,u,w) \ v5) | x = K(y,R(1 / z,u,w) \ v5). R(K(x,x * y),z,u) = K(x,R(1 / y,z,u) \ x). K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). R(R(K(x,y),z,u),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). T(K(x,y) * K(z,x),u) * u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). ((x / y) * (y / x)) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). x != ((y / z) * (z / y)) * ((y / z) \ 1) | x = z / y. R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. R(1 / (x / y),x / y,x * (y / x)) = y / x. ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). T(x / y,(x / y) \ (1 / (y / x))) = x / y. x != T(y,z \ (1 / u)) | x = T(y,z \ (u \ 1)). x / y = T(x / y,(x / y) \ ((y / x) \ 1)). T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). (L(x,y,y \ 1) \ (y * x)) \ 1 = 1 / R(T(y,x),y \ 1,x * y). 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). x != ((L(y,z,z \ 1) \ (z * y)) \ 1) \ 1 | x = ((z \ 1) * (z * y)) \ (z * y). R(T(x,y),x \ 1,y * x) = ((x \ 1) * (x * y)) \ (x * y). ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u * K(y,x))). L(T(x,y),z,u) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))). x != L(T(y,z),u,w) \ (L(y,u,w) * v5) | x = K(z,L(y,u,w)) * v5. T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = K(x,L(y,u,w)) * (x * K(y,z)). x != K(y,z) * (y * u) | x = T(y,z) * u. T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = T(x,L(y,u,w)) * K(y,z). T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). x != T(y * K(z,u),L(T(z,y),w,v5)) | x = T(y * K(z,u),L(z,w,v5)). T(x,L(y,z,u)) * K(y,w) = T(x * K(y,w),L(y,z,u)). T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). x != T(y,L(z,u,w)) * K(z,y) | x = y * a(w,u,K(z,y)). T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). x != K(y,K(z,L(u,w,K(y,v5)))) | x = K(z,K(y,u)). K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). x != K(y,K(z,u \ (z \ w))) | x = K(y,K(z,u \ w)). K(x,K(y * z,a(y,z,u))) = K(x,K(y * z,u \ L(u,z,y))). K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ (K(x,y) * (K(z,x) * (u * K(y,x)))). R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ T(K(z,x) * u,K(x,y)). x != (y * z) \ T(z * y,u) | x = K(z,y) * K(z * y,u). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(K(z,x),u) * K(K(z,x) * u,K(x,y)). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(K(z,x) * u,K(x,y)). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(u,K(x,y)). x != K(y,K(z,u)) * K(y,K(u,w)) | x = K(y,K(z,u) * K(u,w)). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). K(K(x,y) * K(z,x),R(u * K(y,x),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). K(K(x,y) * K(z,x),u * K(y,x)) = K(u,K(z,x) * K(x,y)). (K(x,y) * K(z,x)) \ K(u,K(z,x) * K(x,y)) = K(x,T(z,u)) * K(y,T(x,u)). x != K((1 / (y \ z)) \ u,T(1 / (y \ z),T(y,z))) | x = K(u * (y \ z),y / z). K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)) = K(x * (T(x,y) \ z),T(x,y) / z). K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)) = K(K(y,x) * z,T(x,y) / z). K((1 / (T(x,y) \ z)) \ x,(T(x,y) \ z) \ 1) = K(K(y,x) * z,T(x,y) / z). x != K((1 / y) \ z,y \ 1) | x = K(z * y,y \ 1). K(K(x,y) * z,T(y,x) / z) = K(y * (T(y,x) \ z),(T(y,x) \ z) \ 1). K(x * (T(x,y) \ z),(T(x,y) \ z) \ 1) = K(K(y,x) * z,T(x,y) / z). K(K(x,y) * z,(T(y,x) \ z) \ 1) = K(K(x,y) * z,T(y,x) / z). K(K(x,y) * z,z \ T(y,x)) = K(K(x,y) * z,T(y,x) / z). K(K(x,y) * z,T(y,x) / z) = K(K(x,y) * z,z \ T(y,x)). x != K(K(y,z) * u,T(z,y) / u) | x = K((T(z,y) / u) \ z,T(z,y) / u). K(K(x,y) * z,z \ T(y,x)) = K((T(y,x) / z) \ y,T(y,x) / z). K((T(x,y) / z) \ x,T(x,y) / z) = K(K(y,x) * z,z \ T(x,y)). x != K((T(y,z) / u) \ y,T(y,z) / u) | x = K((T(y,z) / u) \ T(y,u),T(y,z) / u). K(K(x,y) * z,z \ T(y,x)) = K((T(y,x) / z) \ T(y,z),T(y,x) / z). K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K(K(y,x) * z,z \ T(x,y)). (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). R(x,y \ R(y,z,y),y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). x != R(y,z \ R(z,u,z),z \ L(z,u,z)) | x = y. (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). (x \ L(x,y,x)) * x = K(y,T(x,z)) * T(x,T(x * y,z)). K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. x != (y \ L(y,z,u)) * y | x = L(y,z,u). K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). x != (R(y,z,u) \ 1) \ (R(y,z,u) \ K(y,w)) | x = K(y,w). (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). (K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). (K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). x != (K(y,z) / R(y,u,R(y,w,v5))) \ 1 | x = R(y,u,R(y,w,v5)) * K(z,R(y,u,R(y,w,v5))). K(x,y) * R(y,z,R(y,u,w)) = R(y,z,R(y,u,w)) * K(x,R(y,z,R(y,u,w))). R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). K(x,y) = K(x,R(y,z,R(y,u,w))). K(x,R(y,z,R(y,u,w))) = K(x,y). K(x,R(y,z,R(T(y,u),w,v5))) = K(T(x,u),T(y,u)). K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). K(x,y) = K(x,R(y,z,R(T(y,u),w,v5))). K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). a(x,y,R(x,z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). x != (a(y,z,u) \ 1) \ 1 | x = a(y,z,u). a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). x != a(T(y,z),T(y,z) \ z,u) | x = (z * L(u,y \ T(z,y),y)) \ (z * u). a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (y * L(R(T(x,y),z,u),x \ T(y,x),x)) \ (y * R(T(x,y),z,u)). (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). x != a(R(y,z,u),w,y) | x = a(y,w,R(y,z,u)). a(x,x \ y,R(T(x,y),z,u)) = a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)). a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). x != a(T(y,z),u,R(T(y,z),w,v5)) | x = a(y,u,R(y,w,v5)). a(x,x \ y,R(T(x,y),z,u)) = a(x,T(x,y) \ y,R(x,z,u)). a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). x != a(y,T(y,z) \ u,R(y,w,v5)) | x = a(y,y \ u,R(y,w,v5)). a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). x != a(y,y \ z,R(T(y,z),u,w)) | x = a(R(y,u,w),R(y,u,w) \ z,T(R(y,u,w),z)). a(x,x \ y,R(x,z,u)) = a(R(x,z,u),R(x,z,u) \ y,T(R(x,z,u),y)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). x * a(y,y \ (z * y),R(y,u,w)) = (x / R(y,u,w)) * R(R(y,z,y),u,w). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). x != (y / R(z,u,w)) * R(R(z,v5,z),u,w) | x = y * a(R(z,u,w),v5,L(R(z,u,w),v6,v7)). x * a(y,z,R(y,u,w)) = x * a(R(y,u,w),z,L(R(y,u,w),v5,v6)). x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). x != a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)) | x = a(y,y \ w,R(y,z,u)). a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). R(a(x,y,x),z,u) = a(x,y,R(x,x \ z,u)). a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). x * R(a(x,y,x),z,u) = R(x,y,R(x,x \ z,u)). R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). T(x,y) * R(a(x,z,x),u,w) = R(T(x,y),z,R(x,x \ u,w)). R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). x != R(T(y,z),u,R(T(y,z),w,v5)) | x = R(T(y,z),u,R(y,w,v5)). T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). x != a(y,z \ u,w) * K(z,u) | x = K(z,u) * a(y,z \ u,w). K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,R(x,y,z)). K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). T(x,y) * R(a(x,z,x),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). x != T(y,z) * R(a(y,u,y),w,v5) | x = R(T(y,z),u,R(y,y \ w,v5)). R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. x != (y * z) * R((y * z) \ (u * z),w,v5) | x = (y * R(y \ u,w,v5)) * z. (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(K(x,w) \ T(T(x,w),T(y,w)),z,u)) * v5. (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (K(x,y) * R(T(x,z),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. x != (R(T(y,z),u,w) * K(y,v5)) * v6 | x = R(T(y,z),u,w) * (K(y,v5) * v6). (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). R(K(x,y),R(T(x,z),u,w),v5) = (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)). (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). x != R(K(y,z / u),z,u \ 1) | x = K(y,z * (u \ 1)). K(x,R(T(x,y),z,u) / w) = K(x,R(T(x,y),z,u) * (w \ 1)). K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). x != K(y,R(T(y,z),u,w) / v5) | x = K(y,v5 \ R(T(y,z),u,w)). K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). x != K(y,R(T(y,z),u,w) * v5) | x = K(y,R(y,u,w) * v5). K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). x != K(y,R(y,z,u) * (w \ 1)) | x = K(y,w \ R(y,z,u)). K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). (x * R(x \ (x * K(y,z)),u,w)) * K(z,v5) = R(x,K(y,z),K(z,v5)) * (R(K(y,z),u,w) * K(z,v5)). R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). x * (R(K(y,z),u,w) * K(z,v5)) = (x * R(K(y,z),u,w)) * K(z,v5). (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). x * (K(y,z) * R(K(u,y),w,v5)) = x / (K(z,y) * R(K(y,u),w,v5)). x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). x != T(y,z) * L(T(u,y),w,v5) | x = K(y,z) * (L(u,w,v5) * y). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x \ 1,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). x != K(y,K(z,u)) * (y \ w) | x = T(y,K(z,u)) \ w. T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). K((x \ y) \ y,z \ (R(x,u,w) * y)) = K(T(x,R(x,u,w) * (x \ y)),(R(x,u,w) \ z) \ y). K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). x != K((y \ z) \ z,u) | x = K(y,T(u,z)). K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)). x != K(y,T(z \ (R(y,u,w) * v5),v5)) | x = K(y,(R(y,u,w) * v5) / z). K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). x != K(y,T(z,u * (y \ w))) | x = K(y,T(z,u * w)). K(x,(R(x,y,z) * u) / w) = K(x,T((R(x,y,z) \ w) \ u,R(x,y,z) * u)). K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). K(x,y / (R(x,z,u) \ w)) = K(x,(R(x,z,u) * y) / w). K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). x != K(y,(R(y,z,u) * w) / v5) | x = K(y,R(y,z,u) / (v5 / w)). K(x,y / (R(x,z,u) \ w)) = K(x,R(x,z,u) / (w / y)). K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). K(x,(y / z) \ R(x,u,w)) = K(x,z / (R(x,u,w) \ y)). K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). x != K(y,z / (R(y,u,w) \ v5)) | x = K(y,(z * R(y,u,w)) / v5). K(x,(y / z) \ R(x,u,w)) = K(x,(z * R(x,u,w)) / y). K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). x != K(y,((z * u) * R(y,z,u)) / ((w * z) * u)) | x = K(R(y,K(z * u,y) * z,u),w \ y). K(x,(((y * z) * u) / (z * u)) \ R(x,z,u)) = K(R(x,K(z * u,x) * z,u),y \ x). K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). x != K(R(y,K(z,y) * u,w),v5) | x = K(R(y,u,w),v5). K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). K(x,y) * (((z * x) / z) * L(u,T(K(x,y),(z * x) / z),(z * x) / z)) = ((z * x) / z) * (K(x,y) * u). K(x,y) * (((z * x) / z) * L(u,K(x,y),(z * x) / z)) = ((z * x) / z) * (K(x,y) * u). K(x,y) * (((z * x) / z) * u) = ((z * x) / z) * (K(x,y) * u). T(x,y) * (K(z,x) * u) = ((z * x) / z) * (K(x,y) * u). ((x * y) / x) * (K(y,z) * u) = T(y,z) * (K(x,y) * u). K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). x != K(y,(z \ K(u,w)) \ 1) | x = K(y,K(w,u) * z). K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(K(y,x) * R(K(x,y),z,u),K(x,y) * (z * u)). K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). x != K(K(y,z) * R(K(z,u),w,v5),v6) | x = K(K(y,z) * K(z,R(u,w,v5)),v6). K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(K(y,x) * K(x,R(y,z,u)),K(x,y) * (z * u)). K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). K(x * y,K(z,R(u,x,y)) * K(u,z)) = K(a(K(z,u),x,y),((x * y) \ K(u,z)) \ 1). K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). x != K(y,K(z,R(u,w,v5)) * K(u,z)) | x = K(y,K(z,u) * K(u,R(z,w,v5))). K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). x != K(y * z,K(u,w) * K(w,R(u,y,z))) | x = 1. K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. 1 = K(a(K(x,y),z,u),K(x,y) * (z * u)). K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). a(K(x,y),z,u) * w = K(y,x) * (R(K(x,y),z,u) * w). K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). K(a(K(x,y),z,u),w) = K(K(y,x) * K(x,R(y,z,u)),w). K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. R(K(x,T(y,z)),u,w) * (z * K(y,x)) = (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z). (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). x != K(y,z) * (u * L(y,z,y)) | x = K(y,y * z) * (u * y). R(K(x,y),z,u) * L(x,y,x) = K(x,x * y) * (a(K(x,y),z,u) * x). K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). x != R(K(y,z),u,w) * L(y,v5,y) | x = L(y * R(K(y,z),u,w),v5,y). T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). x != R(K(y,T(z,u)),w,v5) * (u * K(z,y)) | x = u * a(K(y,z),w,v5). (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). K(a(K(x,y),z,u),w) * v5 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v5). K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. x != K(a(K(y,z),u,w),v5) * y | x = y * K(a(K(y,z),u,w),v5). K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). x != K(y,z) * T(u,K(w,R(y,v5,v6))) | x = T(K(y,z) * u,K(y,R(w,v5,v6))). x * K(a(K(x,y),z,u),w) = T(K(y,K(x,w)) * x,K(y,R(w,z,u))). T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). x != T(y,K(z,R(u,w,v5)) * K(u,z)) | x = T(y,a(K(u,z),w,v5)). x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). x != K(y,a(K(z,u),w,v5)) | x = K(a(K(y,u),w,v5),z). a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). (T(K(x,y) * K(z,x),u) \ 1) \ u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). x != (1 * (K(y,z) * K(u,y))) * (((K(y,u) * K(z,y)) \ w) / (1 * (K(y,z) * K(u,y)))) | x = T(K(y,z) * K(u,y),w) * w. (T(K(x,y) * K(z,x),u) \ 1) \ u = T(K(x,y) * K(z,x),u) * u. x != T(K(y,z) * K(u,y),w) * w | x = w * (K(u,y) * K(y,z)). (T(K(x,y) * K(z,x),u) \ 1) \ u = u * (K(z,x) * K(x,y)). T(K(x,y) * K(y,z),u) \ u = u * (K(z,y) * K(y,x)). x / (x * (K(y,z) * K(z,u))) = T(K(u,z) * K(z,y),x). x != y / (y * (K(z,u) * K(u,w))) | x = (K(u,w) * (K(z,u) * y)) \ y. T(K(x,y) * K(y,z),u) = (K(y,x) * (K(z,y) * u)) \ u. (K(x,y) * (K(z,x) * u)) \ u = T(K(y,x) * K(x,z),u). T(K(x,y) * K(y,z),u) \ 1 = T(K(y,x) * K(z,y),u). K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). K(R(x,y,z) \ 1,u) * R(K(R(x,y,z) \ 1,u) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). R(K(x \ 1,y) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). x != K(y \ 1,z) * K(z,R(y,u,w) \ 1) | x = a(K(z,y \ 1),u,w). R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). K(x * y,L(y,z,u)) * K(L(y,z,u),x) = a(L(y,z,u),L(y,z,u) \ (x * L(y,z,u)),L(y,z,u)). a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). x != (L(1 / y,z,u) \ 1) / y | x = L(1 / y,z,u) \ (1 / y). 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). x != L(1 / y,z,u) \ (1 / y) | x = L(y \ 1,z,u) \ (y \ 1). 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). x != L((y \ 1) \ 1,z,u) \ ((y \ 1) \ 1) | x = L(y,z,u) \ y. 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. K(x \ L(x,y,z),u) = (L(x,y,z) \ x) * T(x \ L(x,y,z),u). (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). x != (((y * z) \ y) \ 1) / ((z \ 1) \ 1) | x = (1 / ((y * z) \ y)) / z. 1 / (x * ((y * x) \ y)) = (1 / ((y * x) \ y)) / x. (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). x != y / (z * ((u * z) \ u)) | x = (z * ((u * z) \ u)) \ y. (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. x != (1 / ((y * z) \ y)) / z | x = z \ (1 / ((y * z) \ y)). (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). x != (y \ (1 / ((z * y) \ z))) * T(y,u) | x = T((1 / ((z * y) \ z)) * K(y,u),y). (x * ((y * x) \ y)) \ T(x,z) = T((1 / ((y * x) \ y)) * K(x,z),x). T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). x != T(T(1 / ((y * z) \ y),u),z) | x = T(1 / ((y * z) \ y),u). (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). x != (y * ((z * y) \ z)) \ T(y,u) | x = 1 / ((z * T(y,u)) \ z). T(1 / ((x * y) \ x),z) = 1 / ((x * T(y,z)) \ x). 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). K(x,T((((y * z) \ y) \ 1) \ x,u)) = K(x,1 \ (((y * T(z,u)) \ y) * x)). K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T((((y * z) \ y) \ 1) \ x,u)). (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * ((K(z,x) * y) / z). (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * (K(z,x) * (y / z)). x != ((y * z) / y) * (K(z,u) * w) | x = T(z,u) * (K(y,z) * w). (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = T(z,x) * (K(x,z) * (y / z)). x != T(y,z) * (K(z,y) * u) | x = y * u. (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = z * (y / z). ((T(x,y) / z) \ ((y * (((y \ (x * y)) / z) * z)) / y)) * ((y \ (x * y)) / z) = z * (x / z). ((T(x,y) / z) \ ((y * ((T(x,y) / z) * z)) / y)) * ((y \ (x * y)) / z) = z * (x / z). ((T(x,y) / z) \ ((y * T(x,y)) / y)) * ((y \ (x * y)) / z) = z * (x / z). ((T(x,y) / z) \ x) * ((y \ (x * y)) / z) = z * (x / z). ((T(x,y) / z) \ x) * (T(x,y) / z) = z * (x / z). T(x,y) \ T(z * (x / z),y) = K((T(x,u) / z) \ T(x,y),T(x,u) / z). K((T(x,y) / z) \ T(x,u),T(x,y) / z) = T(x,u) \ T(z * (x / z),u). x != T(y,z) \ T(u * (y / u),z) | x = K(u,u \ T(y,z)). K((T(x,y) / z) \ T(x,u),T(x,y) / z) = K(z,z \ T(x,u)). x != K(y,z \ T(u,y)) | x = K(y,z \ u). K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K(z,z \ x). x != K((T(y,z) / u) \ T(y,u),T(y,z) / u) | x = K(K(z,y) * u,u \ T(y,z)). K(x,x \ y) = K(K(z,y) * x,x \ T(y,z)). K(K(x,y) * z,z \ T(y,x)) = K(z,z \ y). x != K(K(y,z) * u,w) | x = K(K(y,T(z,w)) * u,w). K(x,x \ y) = K(K(z,T(y,x \ T(y,z))) * x,x \ T(y,z)). K(K(x,T(y,z \ T(y,x))) * z,z \ T(y,x)) = K(z,z \ y). K(K(x,T(y,z \ y)) * z,z \ T(y,x)) = K(z,z \ y). K(K(x,T(y,z)) * z,z \ T(y,x)) = K(z,z \ y). K(x * K(y,z),x \ T(z,y)) = K(x,x \ z). T(x,y) / (z * K(z,z \ x)) = T(T(x,y) / z,z * K(y,x)). T(T(x,y) / z,z * K(y,x)) = T(x,y) / (z * K(z,z \ x)). T(T(x,y) / z,z * K(y,x)) = T(x,y) / T(z,z \ x). T(x,L(T(y * z,z) / T(y,y \ (y * z)),u,w)) = T(x,L((y * z) / y,u,w)). T(x,L(T(y * z,z) / T(y,z),u,w)) = T(x,L((y * z) / y,u,w)). T(x,L(y * K(z * y,y),u,w)) = T(x,L((z * y) / z,u,w)). T(x,L((y * z) / y,u,w)) = T(x,L(z * K(y * z,z),u,w)). x != T(y,L(z * K(u,z),w,v5)) | x = T(y,L(T(z,u),w,v5)). T(x,L((y * z) / y,u,w)) = T(x,L(T(z,y * z),u,w)). T(x,L(T(y,z * y),u,w)) = T(x,L((z * y) / z,u,w)). x != T(y,L((z * u) / z,w,v5)) | x = T(y,L(T(u,z),w,v5)). T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). (x * L(y,x,y)) / T(T(x,L(y,z,u)),y) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). x != (y * L(z,u,z)) / T(T(y,z),w) | x = K(w,y) * L(z,u,z). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x). x != K(y,z) * L(y,u,y) | x = L(T(y,z),u,y). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x). T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). x != T(y,z * y) * a(u,w,K(z,y)) | x = L(K(z * y,y),w,u) \ T(y,K(z * y,y)). L(T(x,L(y,z,u)),y,x) = L(K(y * x,x),z,u) \ T(x,K(y * x,x)). L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). K(x * y,L(y,z,u)) \ y = L(T(y,L(x,z,u)),x,y). L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). x != L(T(y,L(z,u,w)),z,y) | x = T(y * a(w,u,K(z,y)),y * z). T(x,L(y * x,z,u)) = T(x * a(u,z,K(y,x)),x * y). T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). x / (T(K(y,z),x) * ((y \ x) * y)) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(y,z) = (y * z) / (z * T(y,x)). (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). x != T(y,z) * K(u,z) | x = T(y * K(u,z),z). (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). K(x,x * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). x != K(y,z) * T(u,y) | x = T(K(y,z) * u,y). L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). K(x,x * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). x != T(T(y,y * z) * R(z,u,w),y) | x = T(y * R(z,u,w),y * z). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). K((x * (K(y,x) / T(x,z))) \ 1,((x \ K(x,y)) * T(x,z)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). x != (y \ z) * R((y \ z) \ 1,u,w) | x = y \ (z * R(z \ y,u,w)). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). x != K(y,(z \ 1) * ((u \ z) * u)) | x = K(y,K(z,u)). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. L(x,K(y,z),a(K(y,u),w,v5)) = x. (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). x != (a(K(y,T(z,u)),w,v5) * K(y,z)) * (K(z,y) * u) | x = u * a(K(y,z),w,v5). a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). a(K(x,y),z,u) * w = w * a(K(x,T(y,w)),z,u). x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. T(a(K(x,y),z,u),w) = a(K(x,T(y,w)),z,u). a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). K(R(x,x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). x != K(y \ (z * (((z \ u) \ 1) \ 1)),w) | x = K(y \ u,w). K(R(x,x \ y,y \ x),z) = K(((y \ x) * (x \ y)) \ x,z). K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). K((T(x,y) * ((x * y) \ y)) \ (x * y),z) = K(R(x * y,(x * y) \ y,y \ (x * y)),z). K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). x != K((y * (z \ u)) \ (y * u),w) | x = L(K(T(z,u),w),u,y). K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). L(K(x * y,T(z,x)),x,y) = R(K(y * x,z),x,T(y,x)). R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). x * K(y * x,z) = K(x * y,z) * x. K(x * y,z) * x = x * K(y * x,z). K(x * y,z) = K(y * x,T(z,x)). K(x * y,T(z,y)) = K(y * x,z). K(x * y,T(z,x)) = K(y * x,z). K(x,T(y,z)) = K(z * (x / z),y). K(x * (y / x),z) = K(y,T(z,x)). 1 / K(x * y,z) = K(T(z,x),y * x). K(T(x,y),z * y) = 1 / K(y * z,x). K(x,T(y,z)) = K((z \ x) * z,y). K((x \ y) * x,z) = K(y,T(z,x)). K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). K(T(x,y) * y,z) = K(x * y,T(z,x)). x != K(y,T(T(y,z),u)) | x = 1. K((x \ y) * x,T(y,z)) = 1. T(x,(y \ z) * y) = x / K(z,T(x,y)). K(T(x,y),z * y) = K(x,y * z). K(x,T(y * z,z)) = K(x,z * y). K(x,T(y * z,y)) = K(x,z * y). K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). K(x,T(y,z)) = K(x,(z \ y) * z). K(x,(y \ z) * y) = K(x,T(z,y)). T(x * y,T(z,x)) \ 1 = (x * y) \ K(z,y * x). K(x,K(y,z * u)) = K(x,K(y,(z \ 1) \ u)). K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). K(x,T(y * z,u)) = K(x,T(T(z * y,u),z)). K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). x != K((y \ z) * y,T(z,u)) | x = 1. K(T(x \ y,x) * x,y) = 1. x * K(T(y \ z,y) * y,z) = x. x != y / K(z,T(y,u)) | x = T(y,T(z,u)). T(x,(y \ z) * y) = T(x,T(z,y)). T(x,y * z) = T(x,T(z * y,z)). T(x,T(y * z,y)) = T(x,z * y). x != K(y,T(R(z,u,w) * (z \ y),z)) | x = K(y,y * (z \ R(z,u,w))). K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. x != K(y,K(z \ (u * w),w \ (u \ 1))) | x = K(y,K(u * w,(u \ z) \ w)). K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). x != (K(y,z) * K(u,y)) \ K(w,K(u,y) * K(y,z)) | x = K(y,T(u,w)) * K(z,T(y,w)). T(K(x,y) * K(z,x),T(u,K(x,y))) \ 1 = K(x,T(z,u)) * K(y,T(x,u)). K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). T(K(x,y) * K(y,z),u) \ 1 = K(y,T(x,u)) * K(z,T(y,u)). x != T(K(y,z) * K(z,u),w) \ 1 | x = T(K(z,y) * K(u,z),w). K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). T(K(x,y) * K(z,x),u) * w = K(x,T(y,u)) * (K(z,T(x,u)) * w). K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. x != K(y,T(z,u)) * (K(z * R(y,w,v5),T(y,u)) * v6) | x = R(T(y,u),z,R(y,w,v5)) * (T(y,u) \ v6). T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). a(x,y,R(x,z,u)) * w = R(T(x,v5),y,R(x,z,u)) * (T(x,v5) \ w). R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. (x * a(y,z,y)) * u = (R(a(y,z,y),x,u) * x) * u. (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. x * y != (R(a(z,u,z),w,v5) * w) * v5 | x \ ((w * a(z,u,z)) * v5) = y. ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). x != ((y * z) * u) \ ((z * y) * u) | x = K(z,T(y,u)). a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). x != K(y,a(z,u,z)) | x = 1. a(R(a(x,y,x),z,u),z,u) = 1. L(x,y,R(a(z,u,z),y,x)) = x. (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). a(x,y,x) * z = z * R(a(x,y,x),z,u). x * R(a(y,z,y),x,u) = a(y,z,y) * x. x * y != a(z,u,z) * x | y = a(z,u,z). R(a(x,y,x),z,u) = a(x,y,x). a(x,y,x) = ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w). ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). x != R(a(y,z,y),y * u,w) | x = a(y,z,R(y,u,w)). a(x,y,x) = a(x,y,R(x,z,u)). a(x,y,R(x,z,u)) = a(x,y,x). x != R(a(y,z * K(u,z),y),z * K(u,z),u) | x = L(a(y,z,y),z,u). a(x,y * K(z,y),x) = L(a(x,y,x),y,z). a(x,y,x) * (z * u) = (a(x,y,x) * z) * u. (a(x,y,x) * z) * u = a(x,y,x) * (z * u). (a(x,y,x) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (a(u,z,u) * (K(z,u) * y)) \ (K(u * z,u) * (y * x)). L(x,y,a(z,u,z)) = x. (a(x,y,x) * z) / u = a(x,y,x) * (z / u). ((a(x,y,x) * (z * u)) * w) / (u * w) = R(a(x,y,x) * z,L(u,z,a(x,y,x)),w). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). x != a(y,z,y) | x = a(y,z,L(y,u,w)). a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). K(x,y) * a(x,x \ y,x) = K(x,R(x,z,u) \ y). K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). a(x,y,R(x,z,u)) = a(x,T(y,x),L(x,w,v5)). a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). a(x,L(y * K(z,y),u,w),x) = L(a(x,L(y,u,w),x),L(y,u,w),z). L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). a(a(x,y,x) * z,u,w) = (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w). (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). (x * a(y,z,y)) * u = a(y,z,y) * (x * u). a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). x != a(y,z,y) * (z * u) | x = z * (a(y,z,y) * u). (x * a(y,x,y)) * z = x * (a(y,x,y) * z). x != K(y,z) * a(y,y \ z,y) | x = K(y,y \ z). K(x,R(x,y,z) \ u) = K(x,x \ u). K(x,y \ x) = K(x,x \ ((x * R(T(x,z),u,w)) / y)). K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). x != a(y,y \ z,L(y,u,w)) | x = a(L(y,u,w),L(y,u,w) \ z,L(y,u,w)). a(x,y,R(x,z,u)) = a(L(x,w,v5),L(x,w,v5) \ (y * x),L(x,w,v5)). a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). K(x,y \ x) = K(x,R(T(x,z),u,w) / y). K(x,R(T(x,y),z,u) / w) = K(x,w \ x). x != K(y,R(T(y,z),u,w) / v5) | x = K(y,v5 \ R(y,u,w)). K(x,y \ x) = K(x,y \ R(x,z,u)). K(x,y \ R(x,z,u)) = K(x,y \ x). x != K(y,R(z,u,w) \ R(y,u,w)) | x = K(R(y,u,w),z \ y). K(x,R(y,z,u) \ x) = K(R(x,z,u),y \ x). K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). x != K(R(y,z,u),R(y / w,w,L(K(v5,y),v6,v7)) \ y) | x = K(R(y,z,u),w). K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). x != L(a(y,L(z,u,w),y),L(z,u,w),w * u) | x = (w * (u * z)) \ (w * (u * (T(y * z,y) / y))). a(x,L(y * K(z * u,y),u,z),x) = (z * (u * y)) \ (z * (u * (T(x * y,x) / x))). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). x != a(L(y,z,u),L(y,z,u) \ (w * y),L(y,z,u)) | x = K(w * y,L(y,z,u)) * K(L(y,z,u),w). a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). x != K(y * z,L(z,u,w)) * K(L(z,u,w),y) | x = a(L(z,u,w),L(z,u,w) \ (y * L(z,u,w)),L(z,u,w)). a(x,y,R(x,z,u)) = a(L(x,w,v5),L(x,w,v5) \ (y * L(x,w,v5)),L(x,w,v5)). a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). x != K(y,R(R(y / z,u,w),v5,v6) \ y) | x = R(R(K(y,z),u,w),v5,v6). K(R(x,y,z),u) = R(R(K(x,u),u,L(K(w,x),v5,v6)),y,z). R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). R(K(x,y),z,u) = K(R(x,z,u),y). R(K(x,y),K(x,z),u) = K(x,y). R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). K(x,y) * (K(x,z) * u) = (K(x,y) * K(x,z)) * u. (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). L(x,K(y,z),K(y,u)) = x. K(x,y) * (K(z,y) * u) = (K(y,z) * K(y,x)) \ u. (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). x != L(K(y,z) * K(u,z),K(z,u),K(z,y)) | x = (K(z,y) * K(z,u)) \ 1. K(x,y) * K(z,y) = (K(y,x) * K(y,z)) \ 1. (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). x != K(y,z) * K(u,z) | x = K(u,z) * K(y,z). (K(x,y) * K(x,z)) \ 1 = K(z,x) * K(y,x). T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. x != (K(y,z) * K(y,u)) \ K(y,y \ 1) | x = ((y \ K(y,z)) * T(y,u)) \ 1. K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). K(x,R(y,z,u)) = R(K(x,y),z,u). R(K(x,y),z,u) = K(x,R(y,z,u)). R(K(x,y),z,u) != w | w = K(x,R(y,z,u)). R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. x != R(K(y,z),u,w) | x = K(R(y,u,w),z). K(x,R(y,z,u)) = K(R(x,z,u),y). K(R(x,y,z),u) = K(x,R(u,y,z)). K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). K(x,R(x * y,z,u)) = K(R(x,y,z),R(x * y,y * z,u)). K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. x != K(y,z) * K(z,R(y,u,w)) | x = a(K(z,y),u * y,w). a(K(x,y),z,u) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) = a(K(x,y),z,u). a(K(x,K(y,z)),u,w) = K(a(K(y,x),u * x,w),z). K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). x != K(a(K(y,z),u,w),v5) | x = a(K(y,K(z,v5)),u,w). a(K(x,K(y,z)),u,w) = a(K(y,K(x,z)),u * x,w). a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). K(x,y) * (y * (K(z,y) / y)) = ((y \ K(y,z)) * T(y,x)) \ 1. ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). x != K(y,z) * (z * u) | x = z * (K(y,z) * u). ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))). (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). ((a(x,y,x) * z) * u) / (z * u) = a(x,R(y,y \ z,u),x). a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). a(x,R(y,z,u),x) = R(a(x,y,x),y * z,u). R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). x != R(a(y,z,y),u,w) | x = a(y,z,y). a(x,R(y,z,u),x) = a(x,y,x). a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). a(x,y,x) * T(x,z) = R(T(x,z),R(y,u,w),x). R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). x != a(y,z,y) * T(y,u) | x = R(T(y,u),z,y). R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). R(x,y,z) * T(u,x) = T(u * R(x,y,z),u * x). T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). K(x * y,x * R(y,z,u)) = (x * R(y,z,u)) / (R(y,z,u) * T(x,y)). (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). x != (y * z) / (z * T(y,u)) | x = T(K(u,y) * K(y,z),z). K(x * y,x * R(y,z,u)) = T(K(y,x) * K(x,R(y,z,u)),R(y,z,u)). T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). x != T(a(K(y,z),u,w),v5) | x = a(K(y,T(z,v5)),u,w). K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). x != K(y,z) | x = R(K(y,z),z,u). a(K(x,y),z * y,u) = R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w). R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). x != K(y,(y / z) * u) | x = K(y,(z \ y) * u). a(K(x / y,y),z * y,u) = K(x,(y \ x) * R(y,z,u)). K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). x != K(y,(z \ y) * R(z,u,w)) | x = K(y,y * (z \ R(z,u,w))). a(K(x / y,y),z * y,u) = K(x,x * (y \ R(y,z,u))). K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). x != (y * R(z,u,z)) \ ((z * y) * z) | x = L(T(z,y),u,T(z,y)). T(x,x * R(y,z,u)) = L(T(x,R(y,z,u)),y,T(x,R(y,z,u))). L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). a(L(x,y,z),T(u,L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)). x != a(y,z,R(y,u,w)) | x = a(y,z,y). a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). x != a(L(y,z / y,u),w,L(y,z / y,u)) | x = L(a(y,w,y),z,u). a(x,y,x) = L(a(x,y,x),z,u). L(a(x,y,x),z,u) = a(x,y,x). x != L(a(y,z,y),z,u) | x = a(y,z * K(u,z),y). a(x,y,x) = a(x,y * K(z,y),x). a(x,y * K(z,y),x) = a(x,y,x). (x * y) * a(z,u,z) = x * (y * a(z,u,z)). a(x,y,x) = a(x,T(y,z),x). a(x,T(y,z),x) = a(x,y,x). a(x,y / z,x) = a(x,z \ y,x). a(x,R(y \ z,u,w),x) = a(x,R(z / y,u,w),x). a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). a(x,(y * z) \ (u * z),x) = a(x,R(u / y,y,z),x). a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). x != a(y,(z * u) \ u,y) | x = a(y,z \ 1,y). a(x,y / (z * y),x) = a(x,z \ 1,x). a(x,K(y,y \ 1) / a(z,u,w),x) = a(x,((z * (u * (w * K(y,y \ 1)))) \ ((z * u) * w)) \ 1,x). a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). R(x,y,a(z,u,z)) = x. x != a(y,R(z / u,w,v5),y) | x = a(y,R(u \ z,w,v5),y). a(x,(y * z) \ (u * z),x) = a(x,R(y \ u,y,z),x). a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). x != a(y,R(z,u,w),y) | x = a(y,z,y). a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). (x / y) \ (a(y,z \ u,y) \ x) = L(y,(z * w) \ (u * w),y). L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). x != (y / z) \ (a(z,u,z) \ y) | x = L(z,u,z). L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). x != (a(y,z,y) * u) / w | x = a(y,z,y) * (u / w). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). x != a(y,z / u,y) | x = a(y,u \ z,y). L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). x != L(a(y,z,y),u,w) | x = a(y,z,y). a(x,L(y,z,u),x) = a(x,y,x). a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). a(x,a(y,z,u),x) = a(x,L(u,z,y) \ u,x). a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). x * a(x,y,x) = R(x,L(y,z,u),x). R(x,L(y,z,u),x) = x * a(x,y,x). x != y * a(y,z,y) | x = R(y,z,y). R(x,L(y,z,u),x) = R(x,y,x). L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). a(x,a(y,z,u),x) \ x = L(x,L(u,z,y) \ u,x). L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. x != a(y,z,y) \ y | x = L(y,z,y). L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). x != L(y,z,a(u,w,u)) | x = y. a(a(x,y,x) * z,u,w) = a(z,u,w). a(x,y,z) = a(a(u,w,u) \ x,y,z). a(a(x,y,x) \ z,u,w) = a(z,u,w). a(K(x * y,y),z,u) = a(K(x,y),z,u). a(K(x,x \ y),z,u) = a(K(x,y),z,u). a(K(x \ y,x),z,u) = a(K(y,x),z,u). a(K(x \ 1,y),z,u) = a(K(x \ y,y),z,u). a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u). x != a(K(y \ z,y),u * y,w) | x = K(z,z * (y \ R(y,u,w))). a(K(x,y),z * y,u) = K(x,x * (y \ R(y,z,u))). K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). x != a(K(y,y \ z),u,w) | x = a(K(y,z),u,w). a(K(x,y \ x),z,u) = a(K(y,x),z,u). a(K(x,y),z,u) = a(K(y \ x,x),z,u). a(K(x \ y,y),z,u) = a(K(y,x),z,u). x != a(K(y \ z,z),u,w) | x = a(K(y \ 1,z),u,w). a(K(x,y),z,u) = a(K(y \ 1,x),z,u). a(K(x \ 1,y),z,u) = a(K(y,x),z,u). a(K(x,y),z,u) = a(K(y,x \ 1),z,u). a(K(x,y \ 1),z,u) = a(K(y,x),z,u). a(K(R(x,y * z,u) \ 1,y),w,v5) = a(R(K(y,x),(x * y) * z,u),w,v5). a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). x != a(K(y,z \ 1),u,w) | x = K(z \ 1,y) * K(y,R(z,u,w) \ 1). a(K(x,y),z,u) = K(x \ 1,y) * K(y,R(x,z,u) \ 1). K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). x != K(y,z) | x = (y \ T(z,y)) \ (y \ z). a(K(x,y),z * y,u) = (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))). (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). x != K(y,z) | x = (z / (z / y)) \ L(y,y \ z,y). a(K(x,y),z * y,u) = ((x * (y \ R(y,z,u))) / ((x * (y \ R(y,z,u))) / x)) \ L(x,x \ (x * (y \ R(y,z,u))),x). ((x * (y \ R(y,z,u))) / ((x * (y \ R(y,z,u))) / x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). x != a(K(y,R(z,u,w) \ 1),v5,v6) | x = R(K(z \ 1,y) * K(y,R(z,v5,v6) \ 1),u,w). a(K(x,R(y,z,u)),w,v5) = R(K(x \ 1,y) * K(y,R(x,w,v5) \ 1),z,u). R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). x != a(K(y,z \ 1),u,w) | x = a(K(z,y),u,w). a(K(x,R(y,z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). x != a(K(y \ 1,z),u,w) | x = a(K(z,y),u,w). a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). x != a(K(R(y,z,u),w),v5,v6) | x = a(K(y,R(w,z,u)),v5,v6). a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). R(a(K(x,y),z,u),w,v5) = a(K(x,R(y,w,v5)),z,u). a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). x != R(a(K(y,z),u * z,w),y * R(z,u,w),v5) | x = a(K(y,z),u * z,w). a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). x != a(K(y,R(z,y * u,w)),v5,v6) | x = a(K(y,R(z,u,w)),v5,v6). a(K(x,y),z * y,u) = a(K(x,R(y,R(y,z,u),w)),z * y,u). a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(u,x) = T(T(u,u * x) * L(x,y,z),u). T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). x != T(T(y,y * z) * L(z,u,w),y) | x = T(y * L(z,u,w),y * z). L(x,y,z) * T(u,x) = T(u * L(x,y,z),u * x). T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). x * y != T(z * L(u,w,v5),z * u) | x \ (L(u,w,v5) * T(z,u)) = y. (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). K(x,y) * K(L(y,z,u),x) = K(x * L(y,z,u),x * y). K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). x != K(y,z) * K(L(z,u,w),y) | x = a(w,u,K(y,z)). K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). x != K(y,(y / L(z,u,w)) * z) | x = K(y,z * (L(z,u,w) \ y)). a(x,y,K(z / L(u,y,x),u)) = K(z,u * (L(u,y,x) \ z)). K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). x != a(y,z,K(u \ w,u)) | x = a(y,z,K(w,u)). K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). x != K(y,z * (L(z,u,w) \ y)) | x = K(y,y * (L(z,u,w) \ z)). a(x,y,K(z,u)) = K(z,z * (L(u,y,x) \ u)). K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). a(x,y,K(z,u)) = ((z * (L(u,y,x) \ u)) / ((z * (L(u,y,x) \ u)) / z)) \ L(z,z \ (z * (L(u,y,x) \ u)),z). ((x * (L(y,z,u) \ y)) / ((x * (L(y,z,u) \ y)) / x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). x / (a(y,z,K(u,w)) * x) = K(u * (L(w,z,y) \ w),u). K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w). x != y / (a(z,u,K(w,v5)) * y) | x = a(z,u,K(v5,w)). K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). a(x,y,a(z,u,K(w,v5))) = a(x,y,K(L(w,u,z) \ w,v5)). a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). x != a(y,z,K(u \ w,v5)) | x = a(y,z,K(v5,w \ u)). a(x,y,a(z,u,K(w,v5))) = a(x,y,K(v5,w \ L(w,u,z))). a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). a(x,y,K(z / (L(u,y,x) \ u),u)) = K(z * (u \ L(u,y,x)),z). K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). x / (a(y,z,K(u,w)) * x) = K(u,u * (w \ L(w,z,y))). K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). K(a(x,y,z),u) * 1 = K(L(z,y,x) \ z,u). K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. K(L(x,y,z) \ x,u) = K(a(z,y,x),u). x / (K(a(y,z,u),w) * x) = K(w,L(u,z,y) \ u). K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). x != K(y,L(z \ L(z,u,w),z,w * u)) | x = K(y,a(w,u,z) \ 1). K(x,y \ L(y,z,u)) = K(x,a(u,z,y) \ 1). K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). T(x,a(y,z,u) \ 1) = x * K(x,u \ L(u,z,y)). x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). T(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). x != T(y,y * (z \ L(z,u,w))) | x = y * a(w,u,K(z,y)). L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). T(x \ R(x,y,z),u) = u \ T(u * (x \ R(x,y,z)),u). x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). K(x,y \ R(y,z,u)) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). x != a(K(y,K(z,u)),w * z,v5) | x = a(K(z,K(y,u)),w,v5). K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). x != K(y,K(z,u \ R(u,w,v5))) | x = K(y,K(z,R(u,w,v5) * (u \ z))). a(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w) * (x \ z))). K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). x != K(y,K(R(z,u,w),R(u,v5,v6) \ u)) | x = K(y,K(z,(u * w) / (R(u,v5,v6) * w))). a(K(x,K(R(y,z,u),z)),w,v5) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). x != K(y,K(R(z,u,w) \ z,R(v5,z,u * w))) | x = K(y,K(a(z,u,w),T(v5,z * (u * w)))). a(K(x,K(y,z)),u,w) = K(x,K(a(y,u,w),T(z,y * (u * w)))). K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). x != a(y,(z * u) \ w,y) | x = a(y,u \ (z \ w),y). a(x,K(y,y \ 1) / a(z,u,w),x) = a(x,w \ ((z * u) \ (z * (u * (w * K(y,y \ 1))))),x). a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). x != a(y,z * K(u,u \ 1),w) | x = a(y,z,w). a(x,K(y,y \ 1) / a(z,u,w),x) = a(x,w \ L(w,u,z),x). a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). a(x,y \ L(y,z,u),x) = a(x,a(u,z,y) \ K(w,w \ 1),x). a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). K(x,K((y * z) * u,u \ L(u,z,y))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). (x * K(L(y,z,u) \ y,x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). x != (y * K(z,y)) \ u | x = K(y,z) * (y \ u). a(x,y,K(z,u)) = K(z,L(u,y,x) \ u) * (z \ L(z,a(x,y,u),z)). K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). a(x,y,K(z,u)) = z \ L(T(z,L(u,y,x) \ u),a(x,y,u),z). x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). K(x,x * a(y,z,u)) = a(y,z,K(x,u)). (x * K(y \ R(y,z,u),x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (L(T(u,z),z,u) \ y)) \ (K(u * z,u) * (y * x)). L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (T(u,u * z) \ y)) \ (K(u * z,u) * (y * x)). L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (K(u * z,u) * y) \ (K(u * z,u) * (y * x)). L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = L(x,y,K(u * z,u)). L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). L(x,y,K(z * u,z)) = L(x,y,K(u,z)). L(x,y,K(z,u)) = L(x,y,K(u \ z,u)). L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). x != L(y,z / u,K(u \ z,w)) | x = y. L(x,y / z,K(y,z)) = x. (x / T(y,x)) * z = K(x,y) * ((x / y) * z). K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. R(K(x,y),x \ y,z) = K(x,y). R(K(x,x * y),y,z) = K(x,x * y). x != R(K(y,y * z),u,w) | x = K(y,R(z \ 1,u,w) \ y). K(x,x * y) = K(x,R(y \ 1,y,z) \ x). K(x,R(y \ 1,y,z) \ x) = K(x,x * y). T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). T(x,R(y \ 1,y,z) \ x) = T(x,x * y). x != T(y,R(z \ 1,z,u) \ w) | x = T(y,(u / (z * u)) \ w). T(x,x * y) = T(x,(z / (y * z)) \ x). T(x,(y / (z * y)) \ x) = T(x,x * z). T(x,(y / z) \ x) = T(x,x * (z / y)). x != T(y,(z / u) \ y) | x = T(y,(u * y) / z). T(x,x * (y / z)) = T(x,(y * x) / z). T(x,(y * x) / z) = T(x,x * (y / z)). T(x,(y * x) / z) = x * K(x,x * (y / z)). x * K(x,x * (y / z)) = T(x,(y * x) / z). x * y != T(x,(z * x) / u) | y = K(x,(x * z) / u). K(x,x * (y / z)) = K(x,(x * y) / z). K(x,(x * y) / z) = K(x,x * (y / z)). K(x,x * (y / z)) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,x * (y / z)). K(x,(y / z) \ x) = K(x,x * (z / y)). (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). x != (y * K(z,u)) / (z \ y) | x = T(z,T(u,y)). T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). x != T(y,T((z * y) / u,w)) | x = T(y,T(z / (y \ u),w)). T(x,T(x * (y / z),u)) = T(x,T(y / (x \ z),u)). T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). x != K(y,(z / u) \ y) | x = K(y,y * (u / z)). R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). x != K((y * z) \ 1,y * z) | x = K(y \ (z \ 1),z * y). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,z * (x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). x != K(y,z) * T(z,z * y) | x = L(z,y,z). L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). x != L(y,z * (z \ ((u / w) \ 1)),y) | x = L(y,u \ w,y). L(x,y / z,x) = L(x,z \ y,x). L(x,y,x) = L(x,(y \ z) \ z,x). L(x,(y \ z) \ z,x) = L(x,y,x). L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). L(x,y,x) = L(x,y * K(z,y),x). L(x,y * K(z,y),x) = L(x,y,x). L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). x != L(y,R(z * K(u,z),w,v5),y) | x = L(y,R(z,w,v5),y). L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). x != L(y,(z * u) \ (w * u),y) | x = L(y,z \ w,y). L(x,R(y,z,u),x) = L(x,z \ (z * y),x). L(x,R(y,z,u),x) = L(x,y,x). L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). x != L(y,R(z,u,w),y) | x = L(y,z,y). L(x,a(y,z,u),x) = L(x,y \ R(y,z,u),x). L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)). K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). x != y * (z \ L(z,u,z)) | x = a(z,u,z) \ y. a(K(x,y),z * y,u) = a(x,a(y,z,u),x) \ a(K(x,y),z * y,u). a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). x != R(y,z,a(u,w,u)) | x = y. (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). x != (y * R(z,u,z)) \ ((z * y) * z) | x = L(T(z,y),u,z). T(x,a(y,z,u) \ x) = L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x). L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). x != L(T(y,a(z,u,w) \ 1),w \ L(w,u,z),y) | x = y * a(z,u,K(w,y)). T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (1 / u))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). x != T(T(y,z),a(u,w,z) \ y) | x = T(y,L(z,w,u)). T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(y,K(x \ 1,T(z,L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). x != (y \ 1) * T(K(y,z) * u,y \ 1) | x = K(y,z) * (u * (y \ 1)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). K(x,K(y,z)) * (x \ L(T(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). T(x \ L(x,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). x != T(y,K(z,u)) \ L(T(y,K(z,u)),w,v5) | x = T((y \ 1) * L((y \ 1) \ 1,w,v5),K(z,u * y)). T(x \ L(x,y,z),K(u,w)) = T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). K(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(u * x,w)). K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). x != K(y \ L(y,z,u),K(w * y,v5)) | x = K(v5,K(y * w,y \ L(y,z,u))). K(x,K(y,z \ L(z,u,w))) = K(y,K(z * x,z \ L(z,u,w))). K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). x != K(y,K((z * u) * w,w \ L(w,u,z))) | x = K(y,K(z * (u * w),a(z,u,w) * (z * (u * w)))). K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). x != K(y,K(z * u,w \ L(w,u,z))) | x = K(y,K(z * u,a(z,u,w))). K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. x != K(y,K(a(z,u,w),z * (u * w))) | x = K(y,K(a(z,u,w),(z * u) * w)). K(x,K(y * z,a(y,z,u))) = K(x,K(a(y,z,u),(y * z) * u)). K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). x != K(y,K(a(z,u,w),(z * u) * w)) | x = K(a(z,u,w),T((((z * u) * w) \ 1) * ((y \ ((z * u) * w)) * y),z * (u * w))). K(x,K(y * z,a(y,z,u))) = K(a(y,z,u),T((((y * z) * u) \ 1) * ((x \ ((y * z) * u)) * x),y * (z * u))). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). x != K(y,K(a(z,u,w),T(v5,z * (u * w)))) | x = a(K(y,K(z,v5)),u,w). K(x,K(y * z,a(y,z,u))) = a(K(x,K(y,(y * z) * u)),z,u). a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). a(K(x,K(y,z * u)),z,u) = K(y,K(x * z,a(x,z,u))). K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). K(x,K(y * z,a(y,z,u))) = 1. K(x,K(a(y,z,u),y * (z * u))) = 1. K(x,a(y,z,u)) * 1 = K(x,((y * z) * u) / (y * (z * u))). K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). x != K(y,((z * u) * w) / (z * (u * w))) | x = R(K(y,z \ R(z,u,w)),R(z,u,w),u * w). K(x,a(y,z,u)) = R(K(x,y \ R(y,z,u)),R(y,z,u),z * u). R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). x != R(a(K(y,z),u,w),v5,v6) | x = a(K(y,R(z,v5,v6)),u,w). K(x,a(y,z,u)) = a(K(x,R(y,R(y,z,u),z * u)),z * y,u). a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). x != a(K(y,R(z,R(z,u,w),v5)),u * z,w) | x = a(K(y,z),u * z,w). K(x,a(y,z,u)) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) = K(x,a(y,z,u)). a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). x != a(y,z,y) \ K(y,u) | x = y \ L(T(y,u),z,y). a(K(x,y),z * y,u) = x \ L(T(x,a(y,z,u)),a(y,z,u),x). x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(K(x,y),z * y,u). K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). x != a(K(y,z),u * z,w) | x = a(K(y,z),u,w). K(x,x * a(y,z,u)) = a(K(x,y),z,u). x != K(y,y * a(z,u,w)) | x = a(z,u,K(y,w)). a(K(x,y),z,u) = a(y,z,K(x,u)). (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). x != (T(y,y \ z) * a(u,w,K(v5,v6))) \ ((y \ z) \ z) | x = a(u,w,K(v6,v5)). a(K(x,y),z,u) = a(x,z,K(u,y)). x != a(K(y,z),u,w) | x = a(z,u,K(y,w)). a(x,y,K(z,u)) = a(u,y,K(x,z)). x != a(K(y,z),y \ 1,u) | x = 1. a(x,x \ 1,K(y,z)) = 1. x != a(y,(z \ 1) \ 1,u) | x = a(y,z,u). 1 = a(x \ 1,x,K(y,z)). a(x \ 1,x,K(y,z)) = 1. L(K(x,y),z,z \ 1) = K(x,y). K(x,L(y,z,z \ 1)) = K(x,y). (1 / x) * (x * K(y,z)) = K(y,z). L(K(x,y),1 / z,z) = K(x,y). K(x,y * z) = K(x,(y \ 1) \ z). K(x,(y \ 1) \ z) = K(x,y * z). x \ K(y,z) = (x \ 1) * K(y,z). (x \ 1) * K(y,z) = x \ K(y,z). T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). (1 / x) \ K(y,z) != x * u | u = K(y,z). (1 / x) \ K(y,z) != x * u | K(y,z) = u. x * y != K(z,(u \ 1) \ w) | x \ K(z,u * w) = y. (1 / x) \ K(y,z * u) = x * K(y,(z \ 1) \ u). (x \ K(y,z)) * K(z,y) = x \ 1. K(x,y) * K(z,u) = (K(u,z) * K(y,x)) \ 1. (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). x != (K(y,z) * K(u,z)) \ 1 | x = T(K(z,u) * K(z,y),K(y,z) * K(u,z)). K(x,y) * K(x,z) = T(K(x,y) * K(x,z),K(z,x) * K(y,x)). T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). (1 / x) \ K(y,z) = x * K(y,(u \ 1) \ (u \ z)). x * K(y,(z \ 1) \ (z \ u)) = (1 / x) \ K(y,u). x * K(y,T((z \ 1) \ u,w)) = (1 / x) \ K(y,T(z * u,w)). (1 / x) \ K(y,T(z * u,w)) = x * K(y,T((z \ 1) \ u,w)). K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. x != K(K(y,z) * K(y,u),K(u,y) * K(z,y)) | x = K(((y \ 1) \ K(u,y)) \ T(y,z),T(y,z) \ ((y \ 1) \ K(u,y))). 1 = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. 1 \ 1 = K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)). K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1 \ 1. K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). K(x,T(y * z,u)) = K(x,T((y \ 1) \ z,u)). K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). x != K(y,T((((z * u) \ z) \ 1) \ y,w)) | x = K(y,1 \ (((z * T(u,w)) \ z) * y)). K(x,T(((y * z) \ y) * x,u)) = K(x,1 \ (((y * T(z,u)) \ y) * x)). K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. ((x \ K(x,y)) * T(x,z)) \ 1 = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. K(x,((y * T(z,u)) \ y) * x) = K(x,T(((y * z) \ y) * x,u)). K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). x != K(y,y * ((z * u) \ z)) | x = K(y,u \ y). K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). x != K(y,T(z,u) \ y) | x = K(y,T(z \ y,u)). K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). K(x,T((y \ z) * x,u)) = K(x,T((z \ y) \ x,u)). K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). K(x,(y / z) \ x) = K(x,T((y \ z) * x,z)). K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). x != K(y,T((z \ u) * y,u)) | x = K(y,T((z \ u) * y,z)). K(x,(y / z) \ x) = K(x,T((y \ z) * x,y)). K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). x != K(y,T(y * ((z \ u) \ u),w)) | x = K(y,T(y * T(z,u),w)). K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). K(x,T(y * x,z)) = K(x,(z / (z * y)) \ x). K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). x != K(T(y,z),u \ T(y,w)) | x = K(y,T(u \ T(T(y,v5),w),z)). K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ T(T(x,w),y),y)). K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). x != ((y \ K(y,z)) * T(y,u)) \ 1 | x = y * (K(z,y) / T(y,u)). 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. x != K(y,T(z \ T(T(y,u),w),v5)) | x = K(y,T(z \ y,v5)). K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). x != K(y,T(T(z * T(y,u),w),v5)) | x = K(y,T(T(y * z,w),v5)). K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). x != K(y,T((z / (u * z)) \ y,u)) | x = K(y,R(1 / (1 / (1 / u)),u,z) \ y). K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). x != K(y,R(1 / z,u,w) \ v5) | x = K(y,R(z \ 1,u,w) \ v5). K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). x != K(y,R(1 / z,u,w) \ y) | x = R(K(y,y * z),u,w). K(x,T(x * T(y,z),z)) = R(K(x,x * y),y,z). R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). x != R(R(K(y,z),u,w),y * v5,v6) | x = R(K(R(y,v5,v6),z),u,w). K(R(x,y,z),T(x * T(u,w),w)) = R(K(R(x,y,z),x * u),u,w). R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). x != K(R(y,z,u),(w / v5) \ y) | x = K(R(y,z,u),y * (v5 / w)). K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). x != K(R(y,z,u),T(y * T(w,v5),v5)) | x = R(K(R(y,z,u),y * w),w,v5). K(R(x,y,z),x * u) = R(K(R(x,y,z),x * u),u,w). R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). x != K(R(y,z,u),w) | x = K(y,R(w,z,u)). K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). x != K(y,R(R(y * z,z * u,w),z,u)) | x = K(y,R(y * z,u,w)). K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). x != K(y,R(y * z,z * u,w)) | x = K(y,y * R(z,u,w)). K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). T(x,x * R(y,z,u)) = K(x,R(x * y,z,u)) * x. K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). x != T(y,y * R(z,u,w)) | x = L(T(y,R(z,u,w)),z,T(y,R(z,u,w))). T(x,R(x * y,z,u)) = L(T(x,R(y,z,u)),y,T(x,R(y,z,u))). L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). T(x,R(x * y,z,u)) = L(T(x,R(y,z,u)),y,x). L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). x != L(T(y,R(z,u,w)),z,y) | x = T(y,y * z) * a(K(y,z),u,w). T(x,R(x * y,z,u)) = T(x,x * y) * a(K(x,y),z,u). T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). L(x,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). x != (K(y,z) * K(u,z)) * w | x = K(u,z) * (K(y,z) * w). L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(z,y) * (K(y,z) * (K(y,u) * x))). K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)). K(x,y) * (K(y,x) * z) = L(z,K(y,u) * K(y,x),K(u,y) * K(x,y)). L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). x != L(y,z / T(1 / u,w),v5) | x = L(y,z / T(u \ 1,w),v5). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T((1 / x) \ 1,z),x). L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). L(T(x,R(x \ y,z,u)),y / T(x,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x). x != L(T(y,z),u / T(y,w),y) | x = L(T(y,z),y \ u,y). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). x != L(T(y,R(z,u,w)),z,y) | x = T(y,R(y * z,u,w)). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ u = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. ((x \ K(x,y)) * T(x,z)) * u = (x * (K(y,x) / T(x,z))) \ u. (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). x != L(y,z * (K(u,w) / T(w,v5)),v6) | x = L(y,z * (T(w,u) \ K(v5,w)),v6). ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)). L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). x != L(y,K(z,u) * K(w,u),T(u,w)) | x = y. ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). (K(x,y) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),x * z). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),x * z). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(x \ (x * z),T(x * z,y)). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). x != (y * z) * K(z,u) | x = y * T(z,u). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)). x != K(y,z) * T(u,T(y * u,z)) | x = T(u,y * u) * K(y,z). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). x != T(y,T(z,z \ 1) * u) | x = T(y,z * u). T(x,y * x) * K(y,z) = T(K(y,z) * x,y * x). T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). x != T(y,y * z) * a(y,u,K(w,z)) | x = T(y,R(y * z,u,w)). T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). x != T(T(y,y * z),a(u,w,z) \ y) | x = T(y,L(z * y,w,u)). T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). x != T(y,R(y * (z / T(1 / (1 / y),u)),w,v5)) | x = T(y,R(z,w,v5)). T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). x != T(y,L(z * (u * (1 / w)),v5,v6)) | x = T(y,L(z * (u * (w \ 1)),v5,v6)). T(x,R(y,z,u)) = T(x,L(y * (x * (T(x,w) \ 1)),z,u)). T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). T(x,L(y,z,u)) = T(x,R(y,z,u)). K(x,R(y,z,u)) = K(x,L(y,z,u)). K(c1,R(c2,c3,c4)) != K(c1,L(c2,c3,c4)). x * y != T(z,R(u,w,v5)) | x \ T(z,L(u,w,v5)) = y. x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). K(x,L(y,z,u)) = K(x,R(y,z,u)). R(K(x,y),z,u) = L(K(x,y),z,u). R(K(c9,c10),c11,c12) != L(K(c9,c10),c11,c12). x != K(y,L(z,u,w)) | x = L(K(y,z),u,w). K(x,R(y,z,u)) = L(K(x,y),z,u). L(K(x,y),z,u) = K(x,R(y,z,u)). x != K(y,R(z,u,w)) | x = R(K(y,z),u,w). L(K(x,y),z,u) = R(K(x,y),z,u). R(x,y,K(z,u)) = L(x,y,K(z,u)). R(c17,c18,K(c19,c20)) != L(c17,c18,K(c19,c20)). ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). x != R(y,z,z \ u) * u | x = (y * z) * (z \ u). x * R(y,z,z \ x) = (((x * y) / x) * z) * (z \ x). (((x * y) / x) * z) * (z \ x) = x * R(y,z,z \ x). (x * y) * R(z,x,y) = ((z * K(x * y,z)) * x) * y. ((x * K(y * z,x)) * y) * z = (y * z) * R(x,y,z). ((x * y) * z) * a(z * K(x * y,z),x,y) = ((z * K(x * y,z)) * x) * y. ((x * y) \ y) * R(((y * x) \ T(y,x)) \ 1,z,u) = (y * x) \ (T(y,x) * R(T(y,x) \ (y * x),z,u)). (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((x * y) \ T(x,y)) \ 1,z,u). ((x * y) * z) * K(y * z,u) != w | R(x,y,z) * T(y * z,u) = w. x != ((y * K(z * u,y)) * z) * u | x = (z * u) * R(y,z,u). ((x * y) * z) * a(z * K(x * y,z),x,y) = (x * y) * R(z,x,y). ((x * y) * z) \ ((x * y) * R(z,x,y)) != u | u = a(z * K(x * y,z),x,y). ((x * y) * z) \ ((x * y) * R(z,x,y)) != u | a(z * K(x * y,z),x,y) = u. (x * K(y,z)) * a(K(y,T(z,x)),u,u \ x) = (K(y,T(z,x)) * u) * (u \ x). (K(x,T(y,z)) * u) * (u \ z) = z * R(K(x,y),u,u \ z). x * L(K(y,z),u,w) != (x * K(y,z)) * v5 | a(w,u,K(z,y)) = v5. (x * K(y,z)) * u != x * L(K(y,z),w,v5) | a(v5,w,K(z,y)) = u. R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). x != L(K(y,y * z),z,u) | x = K(y,u \ ((u * z) * y)). K(x,x * y) = K(x,z \ ((z * y) * x)). K(x,y \ ((y * z) * x)) = K(x,x * z). x != K(y,y * z) | x = K(y,z * y). K(x,y \ ((y * z) * x)) = K(x,z * x). x != K(y,z \ ((z * u) * y)) | x = L(K(y,u * y),u,z). K(x,y * x) = L(K(x,y * x),y,z). L(K(x,y * x),y,z) = K(x,y * x). a(x,y,K(z,y * z)) = 1. (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((y * x) \ x) \ 1,z,u). (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(x \ (y * x),z,u)). (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(T(y,x),z,u)). (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (R(y,z,u) * x). (x * y) \ (T(x,y) * R(T(y,x),z,u)) = (y * x) \ (R(y,z,u) * x). (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). ((K(x,y) * z) * u) / a(x,z,K(u,y)) = K(x,y) * (z * u). (x * K(y,z)) * a(y,u,K(u \ x,T(z,x))) = (K(y,T(z,x)) * u) * (u \ x). x != a(y,z,K(u,z * u)) | x = 1. a(x,y,K(y * x,z)) = 1. L(K(x * y,z),x,y) = K(x * y,z). K(x * y,L(z,x,y)) = K(x * y,z). x != y / a(z,u,K(w,v5)) | x = y * a(z,u,K(v5,w)). K(x,y) * (z * u) = ((K(x,y) * z) * u) * a(x,z,K(y,u)). ((K(x,y) * z) * u) * a(x,z,K(y,u)) = K(x,y) * (z * u). (x * K(y,z)) * a(y,u,K(x / u,z)) = (K(y,T(z,x)) * u) * (u \ x). ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). (K(x,T(y,z)) * u) * (u \ z) = z * L(K(x,y),u,u \ z). x != (K(y,T(z,u)) * w) * (w \ u) | x = (u * K(y,z)) * a(y,w,K(u / w,z)). x * L(K(y,z),u,u \ x) = (x * K(y,z)) * a(y,u,K(x / u,z)). (x * K(y,z)) * a(y,u,K(x / u,z)) = x * L(K(y,z),u,u \ x). ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). ((x * y) * z) \ ((x * y) * R(z,x,y)) = (z * (x * y)) \ ((z * x) * y). a(x \ y,x,K(z,u)) = a(u,x,K(y / x,z)). a(x,y,K(z,u)) = a(u,y,K((y * x) / y,z)). a(x,y,K((y * z) / y,u)) = a(z,y,K(u,x)). a(x,y,K(z,T(u,y))) = a(z,y,K(u,x)). a(x * K(y * z,x),y,z) = (x * (y * z)) \ ((x * y) * z). (x * (y * z)) \ ((x * y) * z) = a(x * K(y * z,x),y,z). a(x,y,z) = a(x * K(y * z,x),y,z). a(x * K(y * z,x),y,z) = a(x,y,z). ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). ((K(x,y) * z) * u) * a(u,z,K(x,T(y,z))) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). ((K(x,y) * z) * u) * a(x,z,K(y,u)) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). x != ((K(y,z) * u) * w) * a(y,u,K(z,w)) | x = K(y,z) * (u * w). (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). L(x,y,K(z,u)) = R(x,y,K(z,u)). R(x,K(y,z),u) = L(x,K(y,z),u). R(c13,K(c14,c15),c16) != L(c13,K(c14,c15),c16). T(x,y \ y) = x. 1 \ x = 1 * x. 1 \ x != y | x = y. ((x / y) * y) * z != u | x \ u = z. (x / y) * y != z * u | z \ x = u. L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). x * (y / x) != y * z | K(x,y / x) = z. (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). R(x,y,L(z,y,x)) = (x * (y * z)) / (y * L(z,y,x)). (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). (x * (y / x)) \ y != z | K(y / x,x) = z. ((x / y) * y) * z != u * w | u \ (x * z) = w. ((x / y) \ x) * z != u | y * z = u. x * y != ((z \ u) \ u) * w | x \ (T(z,z \ u) * w) = y. ((x \ y) \ y) \ (T(x,x \ y) * z) = z. (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. x \ (y * (z * (y \ x))) = L(T(z,y \ x),y \ x,y). L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). x \ ((x / (y * z)) * (y * (z * u))) = L(L(u,z,y),y * z,x / (y * z)). L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). (x * y) \ (x * (z * y)) = T(L(z,y,x),y). R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. x \ ((x / y) * (z * y)) = T(L(z,y,x / y),y). T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. ((x / y) * L(y,z,u)) / (x / y) = L(x / (x / y),z,u). (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). (x * (x \ y)) * z != u * w | u \ (y * z) = w. T(x \ ((x / y) * z),y) = x \ ((x / y) * ((y \ z) * y)). x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). T(x * y,1 / y) / y != z | ((1 / y) \ x) * (1 / y) = z. T(x * K(y,x),x) = x * K(y,x). R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). x * K(1 / x,x) = 1 / (1 / x). (x * T(x \ y,z)) / y = (x / y) * T((x / y) \ 1,z). (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. x \ (y * K(x / y,y)) = (y * (x / y)) \ y. x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). x \ (y * ((z * (y \ x)) / z)) = (x \ y) * ((z * ((x \ y) \ 1)) / z). (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). x \ (y * ((z * (y \ u)) / z)) = (x \ y) * ((z * ((x \ y) \ (x \ u))) / z). (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). 1 / (1 / (x \ y)) = T(1 / (1 / (y / x)),x). T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). T(x,K(y,1 / y)) = x. x * K(y,1 / y) = K(y,1 / y) * x. K(x,1 / x) * y = y * K(x,1 / x). (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). x * (L(x,y,z) * (1 / x)) != u | L(x,y,z) * K(x,x \ 1) = u. (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). ((x \ 1) * K(y,x)) / (x \ 1) != z | z = K(y,x). ((x \ 1) * K(y,x)) / (x \ 1) != z | K(y,x) = z. T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). (x / (1 / y)) / x = 1 / (1 / ((x / (y \ 1)) / x)). 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. ((x / (1 / y)) / x) \ 1 = 1 / ((x / (y \ 1)) / x). 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). x * (1 / (1 / y)) = (x * y) * K(y \ 1,y). (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). x * y != (z / (1 / (1 / u))) * K(u \ 1,u) | (z / u) / y = x. (x / y) / (y \ 1) = (x / (1 / (1 / y))) / (1 / y). (x / (1 / (1 / y))) / (1 / y) = (x / y) / (y \ 1). R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. T(x \ 1,x * y) = T(x \ 1,((x \ 1) \ 1) * y). T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). ((1 / x) * (y / (1 / x))) \ y = K(y / (x \ 1),x \ 1). (1 / x) * T(y,x \ 1) = y * (1 / x). T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). (1 / x) * T(y,x \ 1) = y * (1 \ (1 / x)). K(x / (y \ 1),y \ 1) != z | K(x / (1 / y),1 / y) = z. T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. R(x \ 1,x,y) = y / (T(x,x \ 1) * y). x / (T(y,y \ 1) * x) = R(y \ 1,y,x). (((x \ 1) \ 1) * y) \ y = R(T(x \ 1,((x \ 1) \ 1) * y),x,y). R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. x != R(T(y \ 1,y * z),y,z) | x = T((y * z) \ z,y). (((x \ 1) \ 1) * y) \ y = T((x * y) \ y,x). T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. T((x * y) \ y,x) = (T(x,x \ 1) * y) \ y. (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). K(x,y) != z | K(x,(y \ 1) \ 1) = z. K(x,T(y,1 / y)) = K(x,y). K(x,T(y / z,y \ z)) = K(x,y / z). (x \ 1) * K(y,x \ 1) = x \ K(y,1 / x). K(x / (y \ 1),1 / y) != z | K(x / (1 / y),1 / y) = z. L(1 / x,y,z) = 1 / (1 / L(x \ 1,y,z)). 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). L(L(1 / x,y,z),u,w) = 1 / (1 / L(L(x \ 1,y,z),u,w)). 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). T(L(x,y,z),u) = T(T(1 / (1 / L(x,y,z)),u),1 / x). T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). L(x,y,K(z,1 / z)) = x. (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). K(x,1 / x) / y = K(x,1 / x) * (1 / y). K(x,1 / x) * (1 / y) = K(x,1 / x) / y. x != K(y,1 / y) * z | x = z * K(y,1 / y). (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). a(x * K(y \ 1,y),z,u) = (K(y \ 1,y) * (x * (z * u))) \ (((x * K(y \ 1,y)) * z) * u). (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). x != (y * z) / u | x = R(y / (u / z),u / z,z). K(x,1 / x) * (y / z) = R(y / (z / K(x,1 / x)),z / K(x,1 / x),K(x,1 / x)). R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). x * y != (z * R(u,z,z \ 1)) / z | x \ ((z * u) * (z \ 1)) = y. R(x,y,y \ 1) \ ((y * x) * (y \ 1)) = y \ T(y,R(x,y,y \ 1)). T(x,x * y) * y = (x * (x * y)) / x. (x * (x * y)) / x = T(x,x * y) * y. T(x / y,y) * y = (x / y) * (x / (x / y)). x != T(y,y / (y * z)) | x = y * K(y,(y / z) / y). T(x,y \ 1) = x * K(x,(x / y) / x). x * K(x,(x / y) / x) = T(x,y \ 1). x \ T(x,y \ 1) != z | z = K(x,(x / y) / x). x \ T(x,y \ 1) != z | K(x,(x / y) / x) = z. T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). x != (y \ z) * ((u * ((y \ z) \ 1)) / u) | x = y \ (z * ((u * (z \ y)) / u)). x \ T(x,(y \ z) \ 1) = y \ (z * ((x * (z \ y)) / x)). x \ (y * ((z * (y \ x)) / z)) = z \ T(z,(x \ y) \ 1). (x \ y) * x = (y / x) * (y / (y / x)). (x / y) * (x / (x / y)) = (y \ x) * y. x * y != z * ((z / (1 / u)) / z) | x \ (T(z,u) / (1 / u)) = y. x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). a(x * K(y \ 1,y),z,u) = a(x,z,u). a(x \ 1,y,z) = a(1 / x,y,z). a(1 / x,y,z) = a(x \ 1,y,z). (x \ y) / T(y,x \ 1) = y \ (x \ y). ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). T(x,y) \ x != z | z = y \ T(y,x). T(x,y) \ x != z | y \ T(y,x) = z. L(T(x,y),z,u) = T(L(x,z,u),T(y,x)). T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). (T(x,y) / y) \ x = T(y,x). T(x * (y / x),x) = x * (y / T(x,y)). x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). (x * y) / T(T(x,y),y) = T(y,x). K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z). K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). (x * R(x * K(y,x),z,u)) / R(x * K(y,x),z,u) = T(x,R(x * K(y,x),z,u)). T(x,R(x * K(y,x),z,u)) = x. R(x,y,K(z,1 / z)) = x. R(x,y,K(1 / z,z)) = x. x * (y * K(z,1 / z)) = (x * y) * K(z,1 / z). (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). R(x,y,1 / z) = R(x,y,z \ 1). T(x,y * (z \ 1)) = T(x,y * (1 / z)). T(x,y * (1 / z)) = T(x,y * (z \ 1)). T(x,y * (1 / (1 / z))) = T(x,y * z). L(x,K(y \ 1,y),z) = x. L(x,K(y,y \ 1),z) = x. L(x,y * (1 / y),z) = x. a(x,y,K(z \ 1,z)) = 1. a(x,y,K(1 / z,z)) = 1. L(K(1 / x,x),y,z) = K(1 / x,x). x * K(y,1 / y) != (K(y,1 / y) * z) * u | x = z * u. (K(x,1 / x) * y) * z = y * (z * K(x,1 / x)). x != y * K(z,1 / z) | x = K(z,1 / z) * y. x * (y * K(z,1 / z)) = K(z,1 / z) * (x * y). K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). T(x,(y \ z) \ u) = T(x,(((y \ 1) \ 1) \ z) \ u). T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). T(x * (y / x),K(z,y)) = x * (y / x). ((1 / x) \ y) * (1 / x) = x \ T(x * y,1 / x). x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). T(x \ T(y,z),x) = x \ T((x \ y) * x,z). x \ T((x \ y) * x,z) = T(x \ T(y,z),x). T(x * (y / x),K(z,y)) != x * u | y / x = u. T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). L(x,y,z) * K(x,x \ 1) = L((x \ 1) \ 1,y,z). L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. (x * K(x \ y,x)) * (y / x) = y. (x / y) * (y * K(y \ x,y)) = (y \ x) * y. K(x,y) != z | x \ T(x,y) = z. x != (1 / y) \ T(1 / y,z) | x = y * T(y \ 1,z). K(1 / x,y) = x * T(x \ 1,y). x * T(x \ 1,y) = K(1 / x,y). ((x * y) / x) \ K(x,y) = y \ 1. x * K(x,y) != z * u | z \ T(x,y) = u. x / T(x,y) != z | z = K(y,x). x / T(x,y) != z | K(y,x) = z. T(K(x,y) * y,x) = y. T(x,y) = T(x,y * K(x,y)). T(x,y * K(x,y)) = T(x,y). x != T(y,z * (u \ 1)) | x = T(y,z * (1 / u)). x * K(x,y * (z \ 1)) = T(x,y * (1 / z)). R(x,y,K(y,z)) = ((x * y) * K(y,z)) / T(y,z). ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). x != ((y * z) / y) \ z | x = z / ((y * z) / y). K(x,y) = x / ((y * x) / y). K(x,R(y,x,x \ 1)) = K(x,(x * y) * (x \ 1)). K(x,(x * y) * (x \ 1)) = K(x,R(y,x,x \ 1)). x != (y \ 1) * K(z,y \ 1) | x = y \ K(z,1 / y). (x * (y \ 1)) / x = y \ K(x,1 / y). x \ K(y,1 / x) = (y * (x \ 1)) / y. x != (y * z) / y | x = T(y,z) / (z \ y). x * K(y,x) = T(y,x) / (x \ y). T(x,y) / (y \ x) = y * K(x,y). x * K(y / x,x) = y / (y / x). x / (x / y) = y * K(x / y,y). R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). K(1 / x,y) / x = T(1 / x,y). K(x,x \ y) = x / (y / (y / x)). x / (y / (y / x)) = K(x,x \ y). (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. T(x,y) * z != x * u | K(x,y) * z = u. x * (y * K(x,z)) = T(x,z) * T(y,K(x,z)). T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). x != (y / z) * T((y / z) \ 1,u) | x = (y * T(y \ z,u)) / z. K(1 / (x / y),z) = (x * T(x \ y,z)) / y. (x * T(x \ y,z)) / y = K(1 / (x / y),z). K(x,(x / y) / x) = K(x,1 / y). x != y \ T(y,(z \ u) \ 1) | x = z \ (u * ((y * (u \ z)) / y)). K(x,1 / (y \ z)) = y \ (z * ((x * (z \ y)) / x)). x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). T(x \ y,R(y / x,z,u)) = x \ y. (K(x,y) \ z) * L(u,z,K(y,x)) = K(y,x) * (z * u). K(x,y) * z != R(y,u,w) * K(x,y) | z = R(y,u,w). K(x,y) * (R(x,z,u) * K(y,x)) = R(x,z,u). T(x,y * K(x,y)) / (T(x,y) * y) = x / ((y * K(x,y)) * x). (L(x,y,x) * y) \ 1 = (y * x) \ K(y * x,x). (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. T(x,y \ K(y,z)) = T(x,z / (z * y)). x \ (x / (x / y)) = (y * (x / y)) \ y. (x * (y / x)) \ x = y \ (y / (y / x)). ((x * y) / x) * z != K(x,y) | T(1 / y,(x * y) / x) = z. T(1 / x,(y * x) / y) = x \ 1. K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). x * (K(y,x) * (x \ z)) = K(y,x) * z. K(x * y,x / (x * y)) = K(x * y,1 / y). K(x,y / x) = K(x,1 / (y \ x)). K(x,1 / (y \ x)) = K(x,y / x). (x / y) * K(x,1 / y) = x * ((x / y) / x). 1 / ((x \ 1) * K(y,x \ 1)) = K(1 / x,y) / (x \ 1). 1 / (K(x,y \ 1) / y) = K(1 / y,x) / (1 / y). K(1 / x,y) / (1 / x) = 1 / (K(y,x \ 1) / x). T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). K(x,y) * z != u | u = K(y,x) \ z. K(x,y) * z != u | K(y,x) \ z = u. K(x \ 1,x) * (x \ y) != z | z = ((x \ 1) \ 1) \ y. K(x \ 1,x) * (x \ y) != z | ((x \ 1) \ 1) \ y = z. x != (1 / y) * ((z \ y) * z) | x = ((z \ y) * z) * (y \ 1). K(x \ y,x) = ((x \ y) * x) * (y \ 1). ((x \ y) * x) * (y \ 1) = K(x \ y,x). K(x * y,z) = K(x * (1 / (1 / y)),z). K(x * (1 / (1 / y)),z) = K(x * y,z). K(x * ((y \ 1) \ 1),z) = K(x * y,z). K(x / (y \ 1),z) = K(x / (1 / y),z). K(x / (1 / y),z) = K(x / (y \ 1),z). K((1 / (1 / x)) * (x \ y),z) = K(y,z). K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). K(x,y / (z * y)) = K(x,1 / z). K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). K(x,y / z) = K(x,1 / (z / y)). K(x,1 / (y / z)) = K(x,z / y). K(x,y / (z * y)) != u | K(x,z \ 1) = u. K(x,y * K(z,1 / z)) = K(x,y). K(x,y * (1 / z)) = K(x,y * (z \ 1)). K(x,K(y,1 / y) * z) = K(x,z). K(x,y * (z * K(u,1 / u))) = K(x,y * z). K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). K(x,y * ((z \ 1) \ u)) = K(x,y * ((1 / z) \ u)). K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). K(x,K(y,1 / y) / z) = K(x,1 / z). T(x * K(y,x),z) = T((y * x) / y,z). T((x * y) / x,z) = T(y * K(x,y),z). x * ((y * (x \ 1)) / y) != z | z = K(y,1 / x). x * ((y * (x \ 1)) / y) != z | K(y,1 / x) = z. K(x,y) = K(x,x * (y / x)). K(x,x * (y / x)) = K(x,y). (x / (x / y)) \ z = K(y,x / y) * (y \ z). T(x,y / x) / (y \ x) = x * (y / x). x * ((y * (x / y)) \ y) = x / (x / y). (x * y) * ((y * x) \ 1) = K(y \ (y * x),y). K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). K(x * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). K(1 / T(x,y),z) = T(K(1 / x,z),y). T(K(x,1 / y),z) = K(x,T(y,z) \ 1). K(x,T(y,z) \ 1) = T(K(x,1 / y),z). T(K(x,1 / y),z) = K(x,1 / T(y,z)). K(x,1 / T(y,z)) = T(K(x,1 / y),z). T(K(x,y),z) = K(x,1 / T(1 / y,z)). K(x,1 / T(1 / y,z)) = T(K(x,y),z). K(L(x,y,z),u) = L(x,y,z) / L(x * K(u,x),y,z). L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). x != K(y \ 1,z) | x = K(1 / y,z). K(x / y,z) = K(1 / (y / x),z). K(1 / (x / y),z) = K(y / x,z). K(x \ 1,y) = K(z / (x * z),y). K(x / (y * x),z) = K(y \ 1,z). K((x / (y * x)) \ 1,z) = K(y,z). K(x \ 1,y) = K((x \ z) / z,y). K((x \ y) / y,z) = K(x \ 1,z). x * y != z * T(z \ u,w) | (u * K((u \ z) \ 1,w)) / y = x. (x * K((x \ y) \ 1,z)) / y = T(x / y,z). (T(x * y,z) / y) / x = K(1 / ((1 / y) / x),z). K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. x * K(x * y,1 / y) = (x * y) * (x / (x * y)). (x * y) * (x / (x * y)) = x * K(x * y,1 / y). x != y * (z / y) | x = T(y,z / y) / (z \ y). (x / y) * K(x,1 / y) = T(x,(x / y) / x) / ((x / y) \ x). T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). (1 / (1 / x)) \ y = (x \ y) * K(x,1 / x). (x \ y) * K(x,1 / x) = (1 / (1 / x)) \ y. (x * y) * ((y * x) \ 1) = K(x,y). K(x,y) = (x * y) * ((y * x) \ 1). K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. (T(x,y) \ 1) * x = (x \ 1) * ((y * x) / y). (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. K(x / (y * x),z) != u | K(1 / y,z) = u. K(x,y \ 1) != z | K(x,1 / y) = z. T(K(x,1 / y),z) != u | K(x,1 / T(y,z)) = u. K(R(x,y,z) \ 1,y) = K(x \ 1,y). K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). K(L(x,y,y \ 1) \ z,u) = K(((y \ 1) * (y * x)) \ z,u). K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). K(x,y * ((1 / z) \ K(z \ 1,u))) = K(x,y * (((u * (z \ 1)) / u) \ 1)). K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). (x * y) \ (K(x \ 1,x) * y) = T((x * y) \ y,T(x,z)). T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). (1 / x) * (y / (1 / x)) = y * K(1 / x,y * x). x != K(y,z * (1 / u)) | x = K(y,z * (u \ 1)). K(x,x \ y) = K(x,y * (x \ 1)). K(x,y * (x \ 1)) = K(x,x \ y). x != K(y,(y * z) * (y \ 1)) | x = K(y,R(z,y,y \ 1)). K(x,x \ (x * y)) = K(x,R(y,x,x \ 1)). K(x,R(y,x,x \ 1)) = K(x,x \ (x * y)). x != K(y \ z,y) | x = K((1 / y) * z,y). K(x * (1 / y),y) = K((1 / y) * x,y). K((1 / x) * y,x) = K(y * (1 / x),x). K(((1 / x) \ y) * (1 / x),x) = K(y,x). x * K(x * (y \ 1),y) = (y \ x) * y. x != K(y * (1 / (1 / z)),u) | x = K(y * z,u). K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). K(T(x,1 / y) / y,y) = K(x / y,y). x * K(x * y,1 / y) = ((1 / y) \ x) * (1 / y). ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). K(T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y),1 / y) = K((x / y) / (y \ 1),1 / y). K(x,R(y,x,x \ 1)) = K(x,y). x \ T(x,R(y,x,x \ 1)) = K(x,y). K(x,y) = x \ T(x,R(y,x,x \ 1)). x != y \ T(y,R(z,y,y \ 1)) | x = R(z,y,y \ 1) \ ((y * z) * (y \ 1)). K(x,y) = R(y,x,x \ 1) \ ((x * y) * (x \ 1)). R(x,y,y \ 1) * K(y,x) = (y * x) * (y \ 1). K(x,y) * ((y * x) * (y \ 1)) = R(x,y,y \ 1). K(1 / x,y / (1 / x)) = K(1 / x,y * x). x != K((1 / (1 / y)) * (y \ z),u) | x = K(z,u). K((x \ y) * x,1 / x) = K(y,1 / x). (K(x,y) \ z) \ (K(x,y) \ (z * u)) = L(u,z,K(y,x)). T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). (K(x,y) \ (z * u)) \ (K(x,y) \ (z * (u * w))) = L(L(w,u,z),z * u,K(y,x)). 1 / (x \ K(y,1 / x)) = K(1 / x,y) / (x \ 1). K(1 / x,y) / (x \ 1) = 1 / (x \ K(y,1 / x)). K(x,(y * (z \ 1)) \ 1) = R(K(x,z / y),z,z \ 1). R(K(x,y / z),y,y \ 1) = K(x,(z * (y \ 1)) \ 1). R(K(x,y),z,z \ 1) = K(x,((y \ z) * (z \ 1)) \ 1). K(x,((y \ z) * (z \ 1)) \ 1) = R(K(x,y),z,z \ 1). R(K(x,y),z,u) \ 1 != w | w = R(K(y,x),z,u). R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. x != K(((1 / y) * z) \ u,w) | x = K(((y \ 1) * z) \ u,w). (1 / x) * (y * T(y \ x,z)) = K(((x \ 1) * y) \ 1,z). ((x \ 1) \ 1) \ y = y * T(y \ (x \ y),T(x,z)). x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. x != (y * z) \ (K(y \ 1,u) * z) | x = T((y * z) \ z,u). T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). (1 / (x \ y)) * (x \ T(y,z)) = K((((x \ y) \ 1) * (x \ 1)) \ 1,z). K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). L(K(x,y),z,u) = K(1 / L(1 / x,z,u),y). K(1 / L(1 / x,y,z),u) = L(K(x,u),y,z). 1 / L(K(x,y),z,u) = K(y,1 / L(1 / x,z,u)). K(x,1 / L(1 / y,z,u)) = 1 / L(K(y,x),z,u). L(K(x,y),z,u) \ w != v5 | v5 = L(K(y,x),z,u) * w. L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. x != R(y,z,1 / u) | x = R(y,z,u \ 1). T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). T(x,y) / (T(x,y) * y) = x / ((y * K(x,y)) * x). T(x,y) / (T(x,y) * y) = x / (x * y). (x / (x * y)) \ T(x,y) = T(x,y) * y. K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((((K(u,z) / u) \ 1) * z) * w)). K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). K(x,1 / (y \ z)) = K(x,z \ y). K(x,((y * z) \ y) \ 1) = K(x,z). K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). K(x,1 / L(y,z,u)) = K(x,(u * (z * y)) \ (u * z)). K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). x != K(y * z,z \ 1) | x = K((z \ 1) \ y,z \ 1). K(x * ((y * z) \ y),z) = K((((y * z) \ y) \ 1) \ x,((y * z) \ y) \ 1). K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). ((x / y) / x) * z != (x / y) * K(x,1 / y) | T(x,(x / y) / x) = z. T(x,(x / y) / x) = T(x,1 / y). R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). K(x,y) / x = (1 / x) * K(x,y). (1 / x) * K(x,y) = K(x,y) / x. (x * K(y,z / y)) / (z / y) = x / (y \ z). ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). K(x \ y,z) \ z != u | T(z,(y \ x) \ 1) = u. K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). x * (y * K((x \ 1) \ y,z)) = T(x * y,z). ((x \ 1) \ K(y,x)) \ ((x \ 1) \ 1) != z | K(x,y) = z. T(x,T(y,z) \ 1) = T(x,(y * z) \ z). (1 / (x \ y)) * T(z,y \ x) = z * (1 \ (1 / (x \ y))). x * y != T(z,y) | x = z / T(y,z). K(x,y) \ z = z / T(K(x,y),z). x / T(K(y,z),x) = K(y,z) \ x. x / (y / (y / z)) = (x / z) * K(z,y / z). x / T(y * x,T(y,x) \ 1) = (y * x) \ x. x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = ((1 / (x / ((y * z) / y))) \ K(y,z)) * (1 / (x / ((y * z) / y))). K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. K(x,1 / (y \ z)) != u | K(x,z \ y) = u. K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. x * K(y,y \ z) = (x / (y \ z)) * (z / y). (x / (y \ z)) * (z / y) = x * K(y,y \ z). ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). x / (1 / (1 / y)) = K(y,1 / y) * (x / y). K(x,1 / x) * (y / x) = y / (1 / (1 / x)). (x / (1 / (1 / y))) * z = (x / y) * (z * K(y,1 / y)). (x / y) * (z * K(y,1 / y)) = (x / (1 / (1 / y))) * z. T(x,y \ z) != u | T(x,(z \ y) \ 1) = u. ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). x != L(y,K(z,u),u) | x = y. K(x,y \ (z * K(u,z))) = K(x,(z \ y) \ K(u,z)). K(x,(y \ z) \ K(u,y)) = K(x,z \ (y * K(u,y))). x != L(K(1 / y,y),z,u) | x = K(1 / y,y). K(1 / x,L(x,y,z)) = K(1 / x,x). x != L(y,z * (1 / z),u) | x = y. K(x,L(1 / y,y,z)) = K(x,1 / y). L(K(1 / x,x),y,z) = K(1 / L(x,y,z),L(x,u,w)). K(1 / L(x,y,z),L(x,u,w)) = L(K(1 / x,x),y,z). K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). K(1 / L(x,y,z),L(x,u,w)) = K(1 / x,x). L(x,y,z) * K(1 / x,x) = 1 / (1 / L(x,y,z)). T(x,1 / y) / y = (x / y) * K(x,1 / y). (x / y) * K(x,1 / y) = T(x,1 / y) / y. (1 / ((x * y) \ x)) * T(z,y) = z * (1 \ (1 / ((x * y) \ x))). K(x \ 1,y) = T(K(x \ K(x,z),y),z). T(K(x \ K(x,y),z),y) = K(x \ 1,z). x * K(y \ 1,z) = K(y \ K(y,x),z) * x. K(x \ K(x,y),z) * y = y * K(x \ 1,z). K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). x != K(y,L(L(z \ 1,u,w),v5,v6)) | x = K(y,L(L(1 / z,u,w),v5,v6)). K(x,1 / L(y,z,u)) = K(x,L(L(1 / y,y,z),z * y,u)). K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. x != K(y,((z * u) \ z) \ 1) | x = K(y,u). K(x * ((y * z) \ y),z) = K((((y * z) \ y) \ 1) \ x,z). K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). x != y * (z * K(y,u)) | x = T(y,u) * T(z,K(y,u)). (x * y) * K(x,z) = T(x,z) * T(y,K(x,z)). T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). K(x,y) * (z * K(x,u)) = (K(x,y) * z) * K(x,u). (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). R(x,y,x) = R(x,y,T(x,z)). R(x,y,T(x,z)) = R(x,y,x). x * y != L(K(z,u),w,z) | x \ K(z,u) = y. (1 / x) \ K(x \ 1,y) = x * K(x \ 1,y). R(x / y,z,y \ x) = R(x / y,z,x / y). R(x / y,z,x / y) = R(x / y,z,y \ x). K(x,T(y / z,y)) = K(x,z \ y). T(x,y \ T(x,z)) != u | T(x,T(x,z) / y) = u. x != T(K(y,z),u) | x = (K(z,y) * u) \ u. K(x,T(y,z)) = (K(y,x) * z) \ z. (K(x,y) * z) \ z = K(y,T(x,z)). L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). T(x,K(y,T(z,x))) = T(x,K(y,z)). K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). x != K(y,z) | x = (u * K(z,y)) \ u. K(x,T(y,z)) = (u * K(y,T(x,z))) \ u. (x * K(y,T(z,u))) \ x = K(z,T(y,u)). K(x,T(y,z)) \ u = K(y,T(x,z)) * u. x / K(y,T(z,u)) = x * K(z,T(y,u)). x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)). K(x,R(T(y / z,y * u),z,u)) = K(x,(z * u) \ (y * u)). T(T(x,y),y / z) = K(x,z \ y) * T(x,y). K(x,y \ z) * T(x,z) = T(T(x,z),z / y). T(x,(y \ (z \ y)) \ 1) = T(x,T(z,y)). K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. T(x,K(y,x \ z)) = T(x,K(y,z / x)). T(x,K(y,z / x)) = T(x,K(y,x \ z)). T(x / y,T(z,y)) = K(y \ x,z) * (x / y). K(x \ y,z) * (y / x) = T(y / x,T(z,x)). K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. L(x,y,R(K(x,z),u,w)) = x. L(x,y,K(R(x,z,u),w)) = x. (K(R(x,y,z),u) * (w * x)) / (w * x) = R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))). R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = (K(R(x,y,z),u) * (w * x)) / (w * x). x != R(T(y,z),y \ z,y) | x = (y \ z) \ z. R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. R(x,y,T(x * K(z,x),u)) = R(T(x * K(z,x),z),y,x * K(z,x)). R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). x != T(y,T(z,u)) | x = y * T(K(y,z),u). T(T(x,y),K(y,z)) = x * T(K(x,y),z). T(x,K(y,z)) = T((y * x) / y,T(y,z)). T((x * y) / x,T(x,z)) = T(y,K(x,z)). T(x \ 1,y) = T(x \ 1,T(y,x)). T(x \ 1,T(y,x)) = T(x \ 1,y). T((x \ y) \ 1,x) = T((x \ y) \ 1,T(x,y)). T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). x * T(y,K(x,z)) = T(x * y,K(x,z)). T(x * y,K(x,z)) = x * T(y,K(x,z)). x != y * T(z,T(y,u)) | x = T(z * y,K(y,u)). T(x,K(y,z)) * y = T(x * y,K(y,z)). T(x * y,K(y,z)) = T(x,K(y,z)) * y. K(x \ y,T(z,x * K(y,x))) = K(x \ y,T(z,(x \ y) \ T(y,x))). K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). x / y = T(x / y,K(y,x)). T(x / y,K(y,x)) = x / y. T(x / y,z) * T(y,K(x / y,z)) = x * K(x / y,z). K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). x != y * K(z,z \ u) | x = (y / (z \ u)) * (u / z). R((x \ y) * K(x,x \ y),z,x \ y) = (R(x \ y,z,x \ y) / (x \ y)) * (y / x). (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). K(x,y * L(K(x,z),u,w)) = K(x,y). K(x,K(x,y) \ z) = K(x,z). K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). K(x,y * z) = K(x,y * (z * K(u,x))). K(x,y * (z * K(u,x))) = K(x,y * z). K(x * y,T(x,z)) = K(T(x,u) * y,T(x,z)). K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). K(x / y,z * (y * (x / y))) = K(x / y,z * x). K(x * (y / T(z,u)),u) = K(x * (y / z),u). K(x * (y \ z),u) = K(x * (y \ T(z,u)),u). K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). L(x,y,z) / L(x * K(u * w,x),y,z) = K(L(x,y,z),u * (K(x,v5) * w)). K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). x * y != K(z,K(u,w)) | x \ K(w,K(u,z)) = y. K(x,y) \ K(y,K(x,z)) = K(y,T(x,z)). K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. K(K(x,y),z) = K(x,K(K(x,u) \ y,z)). K(x,K(K(x,y) \ z,u)) = K(K(x,z),u). x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)). K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). x * K(x,K(y,z)) = T(x,K(z,y)). x * y != K(K(z,u),w) | K(z,K(w,u)) / y = x. K(x,K(y,z)) / y = 1 / T(y,K(x,z)). K(x,K(y,z)) * u != w | K(x,K(y,z)) \ u = w. K(x,T(K(y,z),u)) = K(x,K(z,T(y,u))). K(x,K(y,T(z,u))) = K(x,T(K(z,y),u)). K(x,y) * T(z,K(y,x)) = z * K(x,y). T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. T(x,K(y,z)) * K(y,z) = K(y,z) * x. K(x,y) * z != u * K(x,y) | u = T(z,K(x,y)). K(x,y) * z != u * K(x,y) | T(z,K(x,y)) = u. T(R(x,K(y,z),u),K(y,z)) = ((K(y,z) * x) * u) / (K(y,z) * u). ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). (x * K(y,z)) / x = T(K(y,z),x). K(x,y \ z) * z = z * K(x,z / y). T(K(1 / T(x,y),z),y) = K(1 / x,z). T(K(x,1 / T(y,z)),z) = K(x,1 / y). x * K(y,z) != u * x | u = K(y,T(z,x)). x * K(y,z) != u * x | K(y,T(z,x)) = u. K(x * y,T(z,T(x,y))) = K(T(x,x * y) * y,z). K(T(x,x * y) * y,z) = K(x * y,T(z,T(x,y))). K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). T(K(x,y),y \ 1) != z | K(x,y) = z. x != T(K(y,T(z,u)),w) | x = K(y,T(T(z,w),u)). K(x / y,T(z,u)) = K(y \ x,T(T(z,y),u)). K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). x / K(x / y,z) = K(y \ x,z) \ x. x * y != y * K(z,(y \ u) \ 1) | x = K(z,(u / y) \ 1). K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). K(L((x \ y) / z,z,x),u) = K((x * z) \ y,T(u,z)). K(T(x,x * y) * y,z) = K(x * y,T(z,x)). (1 / (x \ y)) * K(y / x,z) = K(x \ y,T(z,x)) / (x \ y). K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). K(x,T(L(y,z,u),u * z)) = K(x,(u * (z * y)) / (u * z)). K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). K(x,L(y / z,z,u)) = K(x,T((u * z) \ (u * y),z)). K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). K(x,L(y / (y / z),u,w)) = K(x,T(L(z,u,w),y / z)). K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). K(x * y,K(y,z)) != u | K(z,K(y,x)) = u. T(K(x,y),(z * y) \ z) != u | K(x,y) = u. K(x,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = u. K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). x != K(y,K(z,u)) * u | x = T(u,K(y,z)). T(x,K(y,y * z)) = T(x,K(z,y)). T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). T(x,K(y,z)) = T(x,K(y,z / y)). T(x,K(y,z / y)) = T(x,K(y,z)). x * K(y,T(x,z)) = T(x,K(y,z)) * K(y,x). T(x,K(y,z)) * K(y,x) = x * K(y,T(x,z)). K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). K(x,K(y,T(1 / L(1 / z,u,w),v5))) = K(x,T(L(K(z,y),u,w),v5)). x * K(y,z) = T(K(z,y) \ x,K(z,y)). T(K(x,y) \ z,K(x,y)) = z * K(y,x). K(x,y) * T(z * K(y,x),u) = T(K(y,x) * z,u) * K(x,y). T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). x != T(y,K(z,y \ u)) | x = T(y,K(z,u / y)). T(x,K(y,z)) = T(x,K(y,z / x)). T(x,K(y,z / x)) = T(x,K(y,z)). T(x,K(y,z / x)) = T(x,K(z,y)). T(x,K(y,z)) = T(x,K(y,z * x)). T(x,K(y,z * x)) = T(x,K(y,z)). T(x,K(y,z * x)) = T(x,K(z,y)). T(x,K(y * x,z)) = T(x,K(y,z)). x != T(K(1 / y,z),u) | x = K(1 / T(y,u),z). K(1 / x,y) = K(1 / T(T(x,z),z),y). K(1 / T(T(x,y),y),z) = K(1 / x,z). K(x,1 / T(T(y,z),z)) = K(x,1 / y). T(K(T(x,y),z),y) = K((y / (x * y)) \ 1,z). K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). K(x,y / z) = K(x,((y \ z) * y) \ y). K(x,((y \ z) * y) \ y) = K(x,y / z). K(x,T(y \ 1,z)) = K(x,z / (z * y)). (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). K(x,K(y,z)) = K(x,K(y,y / z)). K(x,K(y,y / z)) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(y,1 / z)). K(x,K(y,1 / z)) = K(x,K(y,z)). K(x,K(y,z / (u * z))) = K(x,K(y,u)). K(x,K(y,z / u)) = K(x,K(y,u / z)). K(x,K(y,y / z)) = K(y,K(x,z)). x * y != K(z,K(u \ 1,w)) | x \ K(z,K(u,w)) = y. (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. x * y != K(z \ 1,K(u,w)) | K(u,K(z,w)) / y = x. K(x,K(y,z)) / y = T(1 / y,K(x,z)). T(1 / x,K(y,z)) = K(y,K(x,z)) / x. K(x,K(y,z)) = K(1 / z,K(x,y)). K(1 / x,K(y,z)) = K(y,K(z,x)). K(x,K(y,1 / z)) = K(z,K(x,y)). K(x,K(x / y,z)) = K(x,K(z,y)). x != K(1 / ((1 / y) / z),u) | x = (T(z * y,u) / y) / z. K(x,K(y,(1 / z) / u)) = (T(u * z,K(x,y)) / z) / u. (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. K(x,K(x / y,z)) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(z,y \ x)). K(x,K(y,z \ x)) = K(x,K(z,y)). K(x,K(x / y,z)) != u | K(x,K(y,z)) = u. K(x / y,K(x,z)) = K(x,K(y,z)). T(x,K(y,z \ x)) = x * K(x,K(z,y)). K(x,K(y,z)) != u | K(x,K(x / y,z)) = u. T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). K(x,1 / T(y,z)) = K(x,1 / ((z * y) / z)). K(x,1 / ((y * z) / y)) = K(x,1 / T(z,y)). K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). x != T(y / z,T(z,y)) | x = z \ y. T(x / y,(x * y) / x) = y \ x. T(x,(((y \ 1) \ 1) \ z) / z) = T(x,T(T(z \ (y \ z),T(y,u)),z)). T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). K(x \ y,T(z,(y * x) / y)) = K(y / x,z). K(x,T(1 / y,z)) = K(x,z / (z * y)). K(x,y \ T(z,z \ y)) = K(x,z / y). x != K(y,T(z \ 1,u)) | x = K(y,u \ (z \ u)). K(x,y / (y * z)) = K(x,y \ (z \ y)). K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). x != y * K(y,K(z,u)) | x = T(y,K(u,z)). T(x,K(y,z \ 1)) = T(x,K(z,y)). K(x,y \ 1) * T(z,K(x,y)) = z * K(x,y \ 1). T(T(x,K(y,z)),z \ 1) = T(x,T(z \ 1,y)). T(x,K(y,z \ u)) = T(x,K(u \ z,y)). T(x,K(y \ z,u)) = T(x,K(u,z \ y)). K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. x != K(y,K(z,u)) / z | x = 1 / T(z,K(y,u)). T(1 / x,K(y,z)) = 1 / T(x,K(y,z)). 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). T(x,K(y,z \ x)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(y,x / z)). T(x,K(y,x / z)) = T(x,K(y,z)). T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). K(x,y \ (z \ y)) = K(x,(y / z) / y). K(x,(y / z) / y) = K(x,y \ (z \ y)). T(x,K(y \ z,z)) = T(x,K(z,y)). T(x,K(y,z)) = T(x,K(z,z / y)). T(x,K(y,y / z)) = T(x,K(z,y)). 1 / (K(x,y) * z) = T(1 / (z * K(x,y)),K(y,x)). T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). x != K(y,z \ (u \ z)) | x = K(y,z / (z * u)). K(x,(y / z) / y) = K(x,y / (y * z)). T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. x != K(y,T(z * u,z \ 1)) | x = K(y,T(z * u,u)). K(x,T(y * z,y)) = K(x,T(y * z,z)). K(x,T(y * z,z)) = K(x,T(y * z,y)). K(x,T(y,z)) = K(x,T(y,1 / z)). K(x,T(y,1 / z)) = K(x,T(y,z)). (x \ 1) * K(y,T(z,x)) = K(y,z) * (x \ 1). K(x \ y,z) = K(x \ y,T(z,y \ x)). K(x \ y,T(z,y \ x)) = K(x \ y,z). K(x,T(y,L(z,u,x))) = K(x,T(y,z)). K(x,T(y,z \ (x * u))) = K(x,T(y,(x \ z) \ u)). K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. K(x,K(y,z * K(u,w))) != v5 | K(x,K(y,K(w,u) / z)) = v5. K(x / y,K(x,z)) != u | K(x,K(y,z)) = u. T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. x != T(y,(z * u) \ u) | x = T(y,T(z,u) \ 1). T(x,y \ (z \ y)) = T(x,T(z,y) \ 1). T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. K(x * (y \ ((z \ 1) \ y)),z) = K(x * (((z \ 1) \ y) / y),z). K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). K(x * ((y * z) \ z),y) = K(x * ((z * y) \ z),y). x != K(y \ z,T(u,z \ y)) | x = K(y \ z,u). K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). K(x,T(y,z)) * (z / y) = z / T(y,x). x * y != T(T(z,u),K(w,z * u)) | x \ T(z,T(u,w)) = y. (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). T(x,1 / T(T(y,z),z)) = T(x,1 / y). T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). K(x,K(y,z) / y) = K(x,1 / T(y,z)). x != K(y,1 / T(1 / z,u)) | x = T(K(y,z),u). K(x,K(1 / y,z) / (1 / y)) = T(K(x,y),z). T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). K(x \ y,T(z,x * K(y,x))) = K(y / x,z). T(T(x,K(y,z)),(y \ z) \ 1) = T(x,T((y \ z) \ 1,y)). K(x / y,T(z,x \ y)) = K(x / y,z). T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). K(x,1 / (K(y,z \ 1) / z)) = T(K(x,z),y). x != K(y,1 / (K(z,u) / w)) | x = K(y,w * K(u,z)). T(K(x,y),z) = K(x,y * K(y \ 1,z)). K(x,y * K(y \ 1,z)) = T(K(x,y),z). K(x,y * K(1 / y,z)) = T(K(x,y),z). K(x,y * K(1 / y,z * y)) = T(K(x,y),z / (1 / y)). K(x,y) = K(x,L(y,z,T(x,u))). K(x,L(y,z,T(x,u))) = K(x,y). K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). K(x,y \ x) = K(x,(y \ (x * z)) / z). K(x,(y \ (x * z)) / z) = K(x,y \ x). K(x,(y \ R(x,z,z \ 1)) / a(x,z,z \ 1)) = K(x,y \ x). x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. K(x,y \ R(x,z,z \ 1)) = K(x,y \ ((z * x) * (z \ 1))). K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ R(x,z,z \ 1)). K(x,y \ (z * (x * u))) = K(x,y \ (z * (u * x))). K(x,y \ (z * (u * x))) = K(x,y \ (z * (x * u))). T(x,T(x,y) / z) = T(x,z \ x). K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. x != T(T(y / z,u),z) | x = T(z \ y,u). x / L(K(y,z),u,w) = T(L(K(y,z),u,w) \ x,L(K(y,z),u,w)). T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). x != K(T(y,y * z) * z,u) | x = K(y * z,T(u,y)). K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(w,u))). (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(w,K(z,u))). K(x,K(x / y,L(z,u,w))) = K(x,K(z,L(y,u,w))). K(x,K(L(y,z,u),w)) = K(x,K(y,L(w,z,u))). K(x,K(y,L(z,u,w))) != v5 | K(z,K(y,L(x,u,w))) = v5. K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. K(x,1 / (y / (y / (1 / z)))) = T(K(x,z),y / (1 / z)). T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). x != K(y,z \ u) * u | x = u * K(y,u / z). T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). x != (K(y * T(z,y),u) * y) * T(z,y) | x = (z * y) * R(K(z * y,u),y,T(z,y)). K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * R(K(x * y,z),y,T(x,y)). T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). T(x,T(y \ 1,z)) = T(x,((z * y) / z) \ 1). T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)). T(x,y \ K(y,z)) = T(x,T(y \ 1,z)). T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). x != T(y,T(z \ 1,u)) | x = T(y,u \ (z \ u)). T(x,y \ K(y,z)) = T(x,z \ (y \ z)). x != T(y,z \ K(z,u)) | x = T(y,u / (u * z)). T(x,y \ (z \ y)) = T(x,y / (y * z)). T(x,y / (y * z)) = T(x,y \ (z \ y)). K(x \ y,z) = K((x * K(u,z)) \ y,z). K((x * K(y,z)) \ u,z) = K(x \ u,z). K(T(x * K(y * K(z,u),w),y * K(z,u)),u) = K(y \ (x * T(y * K(z,u),w)),u). K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). (x * K(y,T(z,u * w))) \ x = K(T(z,u * (w * K(v5,y))),y). K(T(x,y * (z * K(u,w))),w) = (v5 * K(w,T(x,y * z))) \ v5. K(x,T(y,z)) * u != K(x,K(y,z)) * w | K(x,y) * u = w. (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). K(x,1 / L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). K(x,K(y,z)) = K(x,K(z,L(y,y,u))). K(x,K(y,L(z,z,u))) = K(x,K(z,y)). K(x,K(x / y,(z * u) \ w)) = K(x,K(u \ (z \ w),L(y,u,z))). K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,(z * y) \ u)). K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). (K(x,y / z) * K(K(x,z \ y),u)) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). x != K(((y \ 1) * (y * z)) \ u,w) | x = K(L(z,y,y \ 1) \ u,w). K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). x != K(y,K(z,L(u,w,v5))) | x = K(y,L(K(z,u),w,v5)). K(x,1 / L(K(y,z),u,w)) = K(x,L(K(y,z),u,w)). L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. K(x,L(K(y,z),u,w)) != v5 | K(x,K(z,L(y,u,w))) = v5. T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). T(T(x,1 / y),K(z,1 / y)) = T(x,1 / T(y,z)). T(x,1 / T(y,z)) != u | T(x,T(1 / y,z)) = u. T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). T(x / y,z) * T(y,K(z,x / y)) = x * K(x / y,z). (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). L(K(x,y),z,u) = K(x,L(y,y \ z,u)). K(x,L(y,y \ z,u)) = L(K(x,y),z,u). (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). K(x,K(y,L(z / u,u,w))) = K(x,K(z / u,L(y,z,w))). K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). T(x,y) / y = (y \ x) * a(y,y \ x,y). (x \ y) * a(x,x \ y,x) = T(y,x) / x. K(x,y) * a(y,x,y) = K(x * y,y). a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). a(x / y,z,x / y) * (x / y) = R(T(x / y,K(y,x)),z,x / y). R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). T(x * K(L(y \ 1,z,u) \ 1,w),K(w,v5)) = T(x,K(w,v5)) * L(K(y,w),z,u). x != T(y,K(z,u)) * K(z,y) | x = y * K(z,T(y,u)). T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. x != T(y,T((z \ u) \ 1,z)) | x = T(y,(u / z) \ 1). T(T(x,K(y,z)),(y \ z) \ 1) = T(x,(z / y) \ 1). x != T(y,(z / u) \ 1) | x = T(y,u / z). T(T(x,K(y,z)),(y \ z) \ 1) = T(x,y / z). T(T(x,K(y,z)),z \ y) = T(x,y / z). T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). T(x,y \ z) = T(T(x,K(z,y)),z / y). T(T(x,K(y,z)),y / z) = T(x,z \ y). T(T(x,y / z),K(z,y)) = T(x,z \ y). x != K(y,z * K(1 / z,u)) | x = T(K(y,z),u). T(K(x,y),z / (1 / y)) = T(K(x,y),z * y). x != T(y,z) * K(u,T(w,y)) | x = K(y,z) * (K(u,w) * y). K(x * y,z) * T(x,y) = K(x,y) * (K(x * y,z) * x). K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). x != T(K(y,z),u / (1 / z)) | x = T(K(y,z),u * z). K(x,1 / (y / (y / (1 / z)))) = T(K(x,z),y * z). T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). x != T(K(y,z),u * z) | x = K(y,T(z,u)). K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). T(x / y,z) * T(y,K(x,z)) = x * K(x / y,z). T(x / y,z) * T(y,K(x,z)) != x * u | K(x / y,z) = u. T(x / T(y,x),z) * T(T(y,x),K(x,z)) = x * K(T(x,y) / y,z). K(x,K(y / z,(u * y) \ K(u,1 / u))) = K(x,K(y \ (1 / u),L(y / z,z,u))). K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w. L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. ((x * y) / x) / ((x * (y * K(z \ 1,y))) / x) = K(y,T((z \ u) / u,x)). K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). K(x,R(T(y,z * u),y \ z,u)) = K(x,((y \ z) * u) \ (z * u)). x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. x * (y * K(z,K(u,x * y))) != w | T(x * y,K(z,L(u,y,x))) = w. (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). (x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). K(x / y,z) / (y \ x) = (1 / (y \ x)) * K(x / y,z). (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). x * K(1 / x,y) = K(1 / x,y) / (x \ 1). K(1 / x,y) / (x \ 1) = x * K(1 / x,y). x != K(1 / y,z) / (y \ 1) | x = 1 / (y \ K(z,1 / y)). x * K(1 / x,y) = 1 / (x \ K(y,1 / x)). 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). x != K(y,T(z,(y \ u) \ w)) | x = K(y,T(z,u \ (y * w))). K(x,T(y,z \ u)) = K(x,T(y,z \ (x * u))). K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). K(x,T(y,z \ u)) = K(x,T(y,z \ (x \ u))). K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). K(x,y / a(x,z,u)) = K(x,a(x,z,u) \ y). K(K(x,y),z) * (K(x,y) * T(u * K(y,x),w)) = T(K(y,x) * u,w) * T(K(x,y),T(z,T(K(y,x) * u,w))). T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(K(y,x),w) * (K(y,x) * T(z * K(x,y),u)). T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). K(x * (y / (T(z,z \ 1) * y)),z \ 1) = K(x * ((T(z,z \ 1) * y) \ (((z \ 1) \ 1) \ (T(z,z \ 1) * y))),z \ 1). K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * (z / (T(y,y \ 1) * z)),y \ 1). x != K(y,z / a(y,u,w)) | x = K(y,a(y,u,w) \ z). K(x,y \ x) = K(x,a(x,z,z \ 1) \ (y \ R(x,z,z \ 1))). K(x,a(x,y,y \ 1) \ (z \ R(x,y,y \ 1))) = K(x,z \ x). x != (y * K(z,T(u,w))) \ y | x = K(u,T(z,w)). K(T(x,y * (z * K(u,w))),w) = K(x,T(w,y * z)). x != T(y,K(z,u / z)) | x = T(y,K(z,u)). T(x,1 / T(y / z,y)) = T(T(x,1 / (y / z)),K(y,z)). T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). x != T(y,K(z,z / u)) | x = T(y,K(u,z)). T(x,1 / (y \ z)) = T(T(x,1 / (z / y)),K(z,y)). T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). x != T(T(y,1 / (z / u)),K(z,u)) | x = T(y,1 / T(z / u,z)). T(x,1 / (y \ z)) = T(x,1 / T(z / y,z)). T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). T(x,T(1 / y,z)) = T(x,1 / ((y \ z) \ z)). T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). x != T(y,1 / (((z \ u) \ u) \ u)) | x = T(y,1 / (u / z)). T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). x != T(y,T(1 / (z \ u),u)) | x = T(y,K(u,z / u) / (z \ u)). T(x,1 / (y / z)) = T(x,K(y,z / y) / (z \ y)). T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). R(x,y,z \ 1) * K(z,x) = R(x * K(z,x),y,z \ 1). R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). K(L(x,y,z \ 1),z) = K(x,z). x != K(L((y \ z) / u,u,y),w) | x = K((y * u) \ z,T(w,u)). K(((x \ 1) \ y) / z,x) = K(((x \ 1) * z) \ y,T(x,z)). K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). K(x,y) = K(x,y * K(z,x \ 1)). K(x,y * K(z,x \ 1)) = K(x,y). K(x,K(x \ 1,y) * z) = K(x,z). K(x \ y,z * K(u,y \ x)) = K(x \ y,z). K(K(x,x \ y) * z,x / y) = K(z,x / y). K(x * K(y,z \ 1),z) = K(x,z). K(x * K(y,z \ u),u \ z) = K(x,u \ z). K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). K((x \ y) \ z,x / y) = K((y / x) \ z,x / y). K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). x * y != K(z,u) * R(u,w,z \ 1) | x \ R(u * K(z,u),w,z \ 1) = y. x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). x != K(y,R(T(z,u),z \ w,v5)) | x = R(K(y,T(z,u)),w,v5). K(x,((y \ z) * u) \ (z * u)) = R(K(x,T(y,z * u)),z,u). R(x,y,x * K(z,x)) = R(x,y,T(x * K(z,x),u)). R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). R(x,y,x) = R(x,y,x * K(z,x)). R(x,y,x * K(z,x)) = R(x,y,x). R(x \ y,z,y / x) = R(x \ y,z,x \ y). L(K(x,T(y,z)),u,y) = K(x,T(y,z)). K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). K(x * y,T(x,z * y)) != u | K(x * y,T(x,z)) = u. K(T(x,y) * z,T(x,u * z)) != w | K(x * z,T(x,u)) = w. x != K(y \ z,T(u,y * K(z,y))) | x = K(z / y,u). K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). K(x \ y,T(z,T(y,x))) = K(y / x,z). T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. x != T(y,T(T(z \ u,w),z)) | x = T(y,T(u / z,w)). T(x,(((y \ 1) \ 1) \ z) / z) = T(x,T((y \ z) / z,T(y,u))). T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). x != T(y,(z \ u) / u) | x = T(y,z \ 1). T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). x != T(y,((z \ 1) \ 1) \ u) | x = T(y,z \ u). T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. K(x / T(y,x),z) = K(T(x,y) / y,z). K(T(x,y) / y,z) = K(x / T(y,x),z). K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). x \ ((y * x) * (y \ 1)) = K(y,x) * a(x,y,y \ 1). K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). x != K(y,(y \ z) \ u) | x = K(y,z \ (y * u)). K(x,a(x,y,y \ 1) \ z) = K(x,((y * x) * (y \ 1)) \ (x * z)). K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). K(x,y) * K(y,L(x,z,u)) = a(u,z * x,K(x,y)). K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). K(x / y,T(z,u)) \ T(x / (K(y \ x,z) \ x),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. x != (T(y * z,K(u,w)) / z) / y | x = K(u,K(w,(1 / z) / y)). K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). K(x,T(y / z,u)) = K(x,T((z / y) \ 1,u)). K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). T(x,y \ R(y,z,y)) = x. (x \ R(x,y,x)) \ z = z / (x \ R(x,y,x)). x / (y \ R(y,z,y)) = (y \ R(y,z,y)) \ x. T(a(x,y,x),z) = x \ R(x,y,x). x * y != z * a(u,w,u) | x \ (a(u,w,u) * z) = y. (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) = R(T(u,x * a(y,z,y)),x,a(y,z,y)). (a(x,y,x) * z) \ ((z * u) * a(x,y,x)) != w | L(u,z,a(x,y,x)) = w. (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w. (a(x,y,x) * z) \ (z * (u * a(x,y,x))) != w | L(T(u,a(x,y,x)),a(x,y,x),z) = w. a(x,y,x) * z = z * (x \ R(x,y,x)). x * (y \ R(y,z,y)) = a(y,z,y) * x. T(a(x / y,z,x / y),u) = (x / y) \ R(x / y,z,y \ x). x * y != a(z,u,z) * (w * z) | (w * R(z,u,z)) / y = x. (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). x != K(y,z) * u | x = T(z,y) \ (z * u). K(x,y) * (K(z,x) * u) = T(x,z) \ (x * (K(x,y) * u)). T(x,y) \ (x * (K(x,z) * u)) = K(x,z) * (K(y,x) * u). K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. T(K(x,y) \ T(K(x,T(y,z)) * u,w),K(x,y)) = K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w). K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,y) \ T(K(x,T(y,z)) * u,w),K(x,y)). T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). x != L(y,z,u) / L(y * K(w,y),z,u) | x = K(L(y,z,u),w). K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). K(x,(y * z) / (y * (u \ z))) * (y * z) = y * (K(x,u) * z). K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). K(T(x,y),z * ((x * y) \ y)) = K(T(x,y),z * (y / (x * y))). K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). K(1 / x,x) \ (R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)) * ((u * (1 / (1 / L(x,y,z)))) / u)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). K(x,y * ((z * u) * w)) = K(x,y * ((z * (1 / (1 / u))) * w)). K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). K(x \ y,z \ y) * (y / x) = T(T(T(y,x \ y) / x,y),y / z). T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). x != K(y \ z,u) * (z / y) | x = T(z / y,T(u,y)). T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). T(x / y,x / z) = T(x / y,T(z \ x,y)). T(x / y,T(z \ x,y)) = T(x / y,x / z). T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)). L(K(x,y),z,u) * T(w,K(x,v5)) = T(L(K(x,y),z,u) * w,K(x,v5)). T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). T(L(K(x,y),z,u) * T(w,L(K(x,y),z,u)),K(x,v5)) = T(w,K(x,v5)) * L(K(x,y),z,u). x != T(y,(((z \ 1) \ 1) \ u) \ w) | x = T(y,(z \ u) \ w). T(x,y / (((z \ 1) \ 1) \ u)) = T(T(x,K(y,z \ u)),(z \ u) \ y). T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). x != T(T(y,K(z,u)),u \ z) | x = T(y,z / u). T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). R(T(x,y * a(z,u,z)),y,a(z,u,z)) != w | L(T(x,y),y,a(z,u,z)) = w. x != K(((y \ 1) * (z * y)) \ u,y) | x = K(L(z,y,y \ 1) \ u,y). K((x * y) \ (z * y),y) = K(L(x,y,y \ 1) \ z,y). K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). R(x,y \ z,K(y / z,u)) = x. x \ (y * K(x / y,z)) = (x \ y) * K(x / y,z). x != y \ (z * K(y / z,z)) | x = (z * (y / z)) \ z. (x \ y) * K(x / y,y) = (y * (x / y)) \ y. K(x \ y,T(z,u)) = K(L(x,z,z \ 1) \ y,T(z,u)). K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). K((x \ y) \ z,T(x,u)) = K(((x \ 1) * y) \ z,T(x,u)). K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). x != K((y \ z) \ u,T(y,w)) | x = K(z \ (y * u),T(y,w)). K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). x != K(((y \ 1) * z) \ u,T(y,z)) | x = K(((y \ 1) \ u) / z,y). K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). K((x * y) / z,x) = K(((x \ 1) \ y) / z,x). K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). K(x / y,z) = K((y / ((z \ 1) * x)) \ z,z). K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). K(x \ y,y) = K(z / (x * ((y \ 1) * z)),y). K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). K(x * K(y * K(z,u),w),T(u,y * K(z,u))) = K(y \ (x * T(y * K(z,u),w)),u). K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). x != R(y / z,u,z \ y) | x = R(T(y / z,K(z,y)),u,y / z). a(x \ y,z,x \ y) * (y / x) = R(T(y / x,K(x,y)),z,y / x). R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). a(x / y,z,x / y) = a(y \ x,z,y \ x). K(x * K(y * K(z,u),w),T(u,y)) = K(y \ (x * T(y * K(z,u),w)),u). K(x \ (y * T(x * K(z,u),w)),u) = K(y * K(x * K(z,u),w),T(u,x)). K(((x * (y * z)) / z) \ 1,y \ 1) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). x != K(R(y / z,u,w) / v5,z \ y) | x = K(v5 \ R(y / z,u,w),z \ y). K(x / (y * (z * x)),z \ 1) = K(y \ R(1 / z,z,x),z \ 1). K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). x != K(y \ R(1 / z,u,w),v5) | x = K(y \ R(z \ 1,u,w),v5). K(x / (y * (z * x)),z \ 1) = K(y \ R(z \ 1,z,x),z \ 1). K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). K(x \ (y / (z * y)),z \ 1) = K(y / (x * (z * y)),z \ 1). K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). x != K(y \ (z / (u * z)),u \ 1) | x = K(y \ ((u * z) \ z),u \ 1). K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ (x / ((z \ 1) * x)),z). x != K(y / (z * ((u \ 1) * y)),(u \ 1) \ 1) | x = K(z \ u,u). K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). x != K(y \ R(z \ 1,z,u),z \ 1) | x = K(u / (y * (z * u)),z \ 1). K(x \ (y \ 1),y \ 1) = K(z / (x * (y * z)),y \ 1). K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). x != K(y / (z * (u * y)),u \ 1) | x = K(z \ ((u * y) \ y),u \ 1). K(x \ (y \ 1),y \ 1) = K(x \ ((y * z) \ z),y \ 1). K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). x != R(y,z,K(u,1 / u)) | x = y. K(x,1 / x) * (y / z) = y / (z * K(1 / x,x)). x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). x / (1 / (1 / L(y,z,u))) = K(y,1 / y) * (x / L(y,z,u)). K(x,1 / x) * (y / L(x,z,u)) = y / (1 / (1 / L(x,z,u))). x != (y * z) / z | x = y. R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = K(R(x,y,z),u). R(K(R(x,y,z),u),w,x) = K(R(x,y,z),u). a(x,y,x) * K(y,T(x,z)) = K(T(x,z * y) * y,T(x,z * y)). K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). K(x * y,T(x,z)) = a(x,y,x) * K(y,T(x,z)). a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). K(((x \ y) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). K(((x / y) \ 1) * z,T(y / x,u)) * K((x / y) \ 1,T(z,u)) = a((x / y) \ 1,z,(x / y) \ 1). (x / y) * K(z,z \ y) = x / ((z \ y) * z). (x / y) * K(y / z,z) = x / (z * (y / z)). K(x \ y,z * (u / ((x \ y) * x))) = K(x \ y,z * (u / y)). x != (y / z) * K(z / y,u) | x = 1 / ((u * ((y / z) \ 1)) / u). x / (x * (y / x)) = 1 / ((x * ((x / y) \ 1)) / x). 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). (x / (x * (y / x))) \ 1 = (x * ((x / y) \ 1)) / x. (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). K((x \ y) / (x \ 1),1 / x) = K((y / x) / (x \ 1),1 / x). K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). x != K(y / (z \ 1),u) | x = K(y / (1 / z),u). K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). K(x,x \ (y * (x * z))) = K(x,y * z). x != K(y,z \ (u * (y * w))) | x = K(y,z \ (u * (w * y))). K(x,y * z) = K(x,x \ (y * (z * x))). K(x,x \ (y * (z * x))) = K(x,y * z). K(x,K(y,z * u)) = K(x,K(y,z * (u * y))). K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). K(x,y \ z) = K(x,x \ (y \ (x * z))). K(x,x \ (y \ (x * z))) = K(x,y \ z). K(x,K(y / z,u * y)) = K(x,K(y / z,u * z)). K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). K(x \ y,x) = K(z * (x \ (z \ y)),x). K(x * (y \ (x \ z)),y) = K(y \ z,y). L(L(x,y,z),K(y,z),z * y) != u | L(x,T(y,z),z) = u. a(x,y,K(y * z,z)) = 1. K(x,K(y,z * u)) = K(x,K(y,z / (1 / u))). K(x,K(y,z / (1 / u))) = K(x,K(y,z * u)). K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). K(x,K(y,1 / z)) = K(x,K(y,K(u,y) / z)). K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). T(x,K(y,z * (u \ 1))) = T(x,K(T(y,u),u \ z)). T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). T(x,K(y,z / u)) = T(x,K(y,z * (u \ 1))). T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). T(x,T(y,(z * (u \ 1)) \ 1)) = T(T(x,y),K(y,z / u)). T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). T(x,T(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). x != (K(y,z) / u) * K(y,K(z,1 / u)) | x = T(K(y,z),1 / u) / u. T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). x != K(y \ 1,(y \ 1) \ z) | x = K(y \ 1,z * y). K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). x != K((y / (z * y)) \ 1,u) | x = K(z,u). K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). x != K((y / (z * y)) \ 1,u) | x = T(K(T(z,y),u),y). K(x,R(x \ 1,x,y) * z) = T(K(T(x,y),z * (y / (x * y))),y). T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). K(x,y * ((x * z) \ z)) = K(x,R(x \ 1,x,z) * y). K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). a(x,y,1 / z) = a(x,y,z \ 1). K(x / y,T(z,u)) \ T(K(y \ x,z),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ T(K(y \ x,z),u). K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ K(y \ x,T(z,u)). x != K(y,T(z,u)) \ w | x = K(z,T(y,u)) * w. K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(z,T(x / y,u)) * K(y \ x,T(z,u)). x != K(K(y,z) \ u,T(K(y,w),v5)) | x = K(y,K(u,T(w,v5))). K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. x != T(K(y,z) \ u,K(y,z)) | x = u * K(z,y). K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,T(y,z)) * u,w) * K(y,x). K(x,x \ ((y \ 1) \ (x * z))) = K(x,z / T(y \ 1,y * (x * z))). L(x,T(y,z),z) = L(x,y,z). L(x,y \ z,y) = L(x,z / y,y). L(x,y / z,z) = L(x,z \ y,z). x != K(y,y \ (z \ (y * u))) | x = K(y,z \ u). K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). x != K(y,y \ T(z,u)) | x = T((y \ z) * y,u) \ T(z,u). K(x,T(x \ y,z)) = T((x \ y) * x,z) \ T(y,z). T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). x != K(y,((z * y) * (z \ 1)) \ (y * u)) | x = K(y,a(y,z,z \ 1) \ u). K(x,x \ (x * y)) = K(x,a(x,z,z \ 1) \ y). K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). K(x,a(x,y,y \ 1) \ z) = K(x,z). x != K(y,a(y,z,z \ 1) \ (u \ R(y,z,z \ 1))) | x = K(y,u \ y). K(x,y \ R(x,z,z \ 1)) = K(x,y \ x). x != K(y,z \ R(y,u,u \ 1)) | x = K(y,z \ ((u * y) * (u \ 1))). K(x,y \ x) = K(x,y \ ((z * x) * (z \ 1))). K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ x). x != K(y,((z \ u) * w) \ (u * w)) | x = R(K(y,T(z,u * w)),u,w). K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1). R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). R(K(x,T(y,(z * x) / z)),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). R(K(x,T(y,T(x,z))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). R(K(x,y),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,y),z * x,z \ 1). K(x,((y \ (z * x)) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),R(y,y \ z,x)). K(R(x,y,y \ 1),R(z,z \ y,x)) = K(x,(((z \ y) * x) * (y \ 1)) \ x). K(x,(((y \ z) * x) * (z \ 1)) \ x) = R(K(R(x,z,z \ 1),y),z,x). R(K(R(x,y,y \ 1),z),y,x) = K(x,(((z \ y) * x) * (y \ 1)) \ x). x != R(K(R(y,z,u),w),v5,y) | x = K(R(y,z,u),w). K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). x != K(y,((z * y) * u) \ w) | x = K(y,(z * u) \ (y \ w)). K(R(x,y,y \ 1),z) = K(x,((z \ y) * (y \ 1)) \ (x \ x)). K(x,((y \ z) * (z \ 1)) \ (x \ x)) = K(R(x,z,z \ 1),y). K(x,((y \ z) * (z \ 1)) \ 1) = K(R(x,z,z \ 1),y). x != K(y,((z \ u) * (u \ 1)) \ 1) | x = R(K(y,z),u,u \ 1). K(R(x,y,y \ 1),z) = R(K(x,z),y,y \ 1). R(K(x,y),z,z \ 1) = K(R(x,z,z \ 1),y). R(K(x,y),z,z \ 1) \ 1 = K(y,R(x,z,z \ 1)). R(K(x,y),z,z \ 1) = K(x,R(y,z,z \ 1)). R(K(x,y),z,z \ 1) = K(x,(y * z) * (z \ 1)). K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). x * y != T(1 / z,(u * z) / u) | x \ (z \ 1) = y. (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). x != K(y,z) * K(z,L(y,u,w)) | x = a(w,u * y,K(y,z)). a(x,y,K(z,u)) = a(x,y * z,K(z,u)). a(x,y * z,K(z,u)) = a(x,y,K(z,u)). a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). K(x,y) * K(L(y,z,u),x) != w | w = a(u,z,K(x,y)). K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. L(K(x,y),z,u) = K(L(x,z,u),y). x != L(K(y,z),u,w) | x = (w * (u * K(z,y))) \ (w * u). K(L(x,y,z),u) = (z * (y * K(u,x))) \ (z * y). (x * (y * K(z,u))) \ (x * y) = K(L(u,y,x),z). K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). x * (y * K(x * y,z)) != u | T(x * y,L(z,y,x)) = u. K(L(x,y,L(z,u,w)),z) != v5 | K(x,z) = v5. a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. a(x,y,K(z,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). x != y / L(K(z,u),w,v5) | x = y * L(K(u,z),w,v5). T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. x != K((((y \ z) \ 1) * (y \ 1)) \ 1,u) | x = (1 / (y \ z)) * (y \ T(z,u)). K(x,y) = (1 / (z \ x)) * (z \ T(x,y)). (1 / (x \ y)) * (x \ T(y,z)) = K(y,z). T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,K(x,w)) * (K(y,x) * T(z * K(x,y),u)). x != K(y,K(z,u)) * (K(y,z) * w) | x = K(y,T(z,u)) * w. T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,T(x,w)) * T(z * K(x,y),u). (K(x,y / z) * K(x,K(u,z \ y))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). (x * (y * (K(y,z) * (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). K(x,T(y / z,T(u,z))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / T(K(x,y \ z),u). R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / K(x,T(y \ z,u)). x != y / K(z,T(u,w)) | x = y * K(u,T(z,w)). R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) * K(y \ z,T(x,u)). R(K(x,K(y,z)),K(x,z \ y),K(K(x,z \ y),u)) = K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)). x != R(y,z,K(z,u)) | x = y. K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). (x * (K(y,z) * u)) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),L(K(z,y),u,x)) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). x != K(y * T((z * u) \ u,z),w) | x = K(y * ((z * u) \ u),w). K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),K(z,L(y,u,x))) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * L(K(y * x,T(z,y)),y,x). x * (y \ 1) != (y \ 1) * K(z,T(u,y)) | x = K(z,u). K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u). x * K(x * y,z) = K(y * x,z) * x. K(x * y,z) * y = y * K(y * x,z). K(x * K(y,(x \ z) \ 1),T(u,z)) = K(((y * (z \ x)) / y) * z,u). K(((x * (y \ z)) / x) * y,u) = K(z * K(x,(z \ y) \ 1),T(u,y)). K(x * T(y / x,z),u) = K(y * K((y \ x) \ 1,z),T(u,x)). K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). T(x,T(y * z,y)) = x * K(x,z * y). x != T(y,T(z * u,z)) | x = T(T(y,K(u,z)),z * u). T(x,y * z) = T(T(x,K(y,z)),z * y). T(T(x,K(y,z)),z * y) = T(x,y * z). T(x,T(y * z,y)) != u | T(x,z * y) = u. T(T(x,y * z),K(y,z)) = T(x,z * y). T(T(x,y * z),K(y,z)) != u | u = T(x,z * y). T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. K(x \ (1 * ((y * (1 \ z)) / y)),T(u,x)) = K(((y * ((x \ 1) \ (x \ z))) / y) * (x \ 1),u). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). x != K(y,(z * u) * (u \ 1)) | x = R(K(y,z),u,u \ 1). K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(y,z)). x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). K(x,T(y * z,z)) != u | K(x,z * y) = u. K(x,T(y * z,y)) != u | K(x,z * y) = u. (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)). (x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x). x != K(y,T((z \ 1) * (u * z),z)) | x = K(y,L(u,z,z \ 1)). R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). x != R(K(y,z),u,u \ 1) | x = K(y,R(z,u,u \ 1)). K(x,L(y,z,z \ 1)) = K(x,R(y,z,z \ 1)). K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). K(x,y * (z \ 1)) = K(x,L(y / z,z,z \ 1)). K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). T(L(K(x,y),z,u),T(u * z,K(x,y))) = T(u * z,K(x,y)) \ (u * (z * K(x,y))). T(x * y,K(z,u)) \ (x * (y * K(z,u))) = T(L(K(z,u),y,x),T(x * y,K(z,u))). T(x * y,K(z,u)) / ((x * (y * K(z,u))) / L(K(z,u),y,x)) = K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))). K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / ((x * (y * K(z,u))) / L(K(z,u),y,x)). K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). K(x \ T(y * x,z),u) = K((x \ 1) * T(y / (x \ 1),z),u). K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). x != T(L(y,z,u),T(w,y)) | x = L(T(y,w),z,u). T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z * a(x,y,x),u). a(x,y,x) \ T(z * a(x,y,x),u) != z * w | K(z * a(x,y,x),u) = w. a(1 / ((x * y) \ x),z,1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)). ((a(x,y,x) * z) \ (z * u)) * a(x,y,x) != w | L(u,z,a(x,y,x)) = w. x \ (y * (z * a(u,w,u))) = (x \ (y * z)) * a(u,w,u). T(x,y * a(z,u,z)) = T(x,y). T(x,(y * z) * y) = T(x,y * (z * y)). T(x,T(y,z) / z) = T(x,z \ y). T(x,y) = T(x,a(z,u,z) \ y). T(x,a(y,z,y) \ u) = T(x,u). T(x,a(y,z,y) \ u) = x * K(x,u). K(x,a(y,z,y) \ u) = K(x,u). K(x,(y \ R(y,z,y)) \ u) = K(x,u). L(K(x,y \ z),y \ z,y) = K(x,(y * (u \ R(u,w,u))) \ z). K(x,y / (z \ R(z,u,z))) = K(x,y). K(x,y) = K(x,y * (z \ R(z,u,z))). K(x,y * (z \ R(z,u,z))) = K(x,y). K(x,y * a(z,u,z)) = K(x,y). K(x,y * R(z,u,z)) = K(x,y * z). K(x,y * T(z,u)) = K(x,y * T(z,z * u)). K(x,y * T(z,z * u)) = K(x,y * T(z,u)). T(x,y * (z \ y)) = T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))). T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). x != K(y,z) | x = y \ T(y,z). K(x,y * T(z,z * u)) = x \ T(x,y * T(z,u)). K(x,y * T(z,z * u)) != w | K(x,y * T(z,u)) = w. L(T(x,a(y,z,y)),a(y,z,y),u) = ((a(y,z,y) * u) \ (u * x)) * a(y,z,y). ((a(x,y,x) * z) \ (z * u)) * a(x,y,x) = L(T(u,a(x,y,x)),a(x,y,x),z). K(x,y \ z) = K(x,(y * (u \ R(u,w,u))) \ z). K(x,(y * (z \ R(z,u,z))) \ w) = K(x,y \ w). K(x,R(y,z,y) \ u) = K(x,y \ u). K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). K(x,T(y,y \ z) \ u) = K(x,T(y,z) \ u). K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). L(K(x,y \ z),z,a(u,w,u)) = K(x,y \ (a(u,w,u) * z)). K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). x != K(y,T(z,u) \ w) | x = K(y,T(z,z \ u) \ w). K(x,((y \ z) \ z) \ u) = K(x,T(y,y \ z) \ u). K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. K(x,T(y,z) \ u) = K(x,((z \ y) * z) \ u). K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). x != K(y,((z \ u) * z) \ z) | x = K(y,z / u). K(x,T(y,z) \ z) = K(x,z / y). K(x,y \ T(z,y)) = K(x,z / y). K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). T(x,(y / z) * y) = T(x,y * (z \ y)). L(x,y,a(z,u,z)) = L(T(x,a(z,u,z)),a(z,u,z),y). L(T(x,a(y,z,y)),a(y,z,y),u) = L(x,u,a(y,z,y)). L(x,a(y,z,y),u) = L(x,u,a(y,z,y)). L(x,a(y,z,y),u) = x. x != L(y \ (z \ u),y,z) | x = (z * y) \ u. a(x,y,x) \ (z \ u) = (z * a(x,y,x)) \ u. (x * a(y,z,y)) \ u = a(y,z,y) \ (x \ u). (x * a(y,z,y)) * u = x * (a(y,z,y) * u). (a(x,y,x) * z) \ u = a(x,y,x) \ (z \ u). R(x,a(y,z,y),u) = x. x != R(T(y \ z,y * u),y,u) | x = T((y * u) \ (z * u),y). T(a(x,y,x) \ z,a(x,y,x) * u) = T((a(x,y,x) * u) \ (z * u),a(x,y,x)). T((a(x,y,x) * z) \ (u * z),a(x,y,x)) = T(a(x,y,x) \ u,a(x,y,x) * z). x != T(y,a(z,u,z)) | x = y. T(a(x,y,x) \ z,a(x,y,x) * u) = (a(x,y,x) * u) \ (z * u). T(a(x,y,x) \ z,u * a(x,y,x)) = (a(x,y,x) * u) \ (z * u). x != (a(y,z,y) * u) \ w | x = a(y,z,y) \ (u \ w). T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ (u \ (z * u)). T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ T(z,u). x != T(y,z * a(u,w,u)) | x = T(y,z). a(x,y,x) \ T(z,u) = T(a(x,y,x) \ z,u). K(x,y) * T(a(x,y,x) \ z,u) = K(x,x * y) * T(z,u). K(x,y) * T(z,u) = K(x,x * y) * T(a(x,y,x) * z,u). K(x,x * y) * T(a(x,y,x) * z,u) = K(x,y) * T(z,u). a(x,y,x) * T(z,u) = T(a(x,y,x) * z,u). T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). (x * (y * T(a(z,u,z) * (a(z,u,z) \ (y \ (x \ w))),v5))) \ w = K(v5,(x * (y * a(z,u,z))) \ w). T(x * a(y,z,y),u) = a(y,z,y) * T(x,u). x * y != a(z,u,z) * T(w,v5) | x \ T(w * a(z,u,z),v5) = y. a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u). a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z,u). K(x * a(y,z,y),u) = K(x,u). K(a(x,y,x) * z,u) = K(z,u). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * (y * a(w,v5,w))) \ z). K(x,(y * (z * a(u,w,u))) \ v5) = (y * (z * T(z \ (y \ v5),x))) \ v5. x != (y * (z * T(z \ (y \ u),w))) \ u | x = K(w,(y * z) \ u). K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). K(x,(y * z) \ u) = K(x,(L(y,w,y) * z) \ u). K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w). K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (y * K(y * x,T(z,y))). K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). T(x,y) \ (x * (K(y * x,z) * y)) = L(T(K(x * y,z) * y,x),x,K(x,y)). L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). x != T(y,z) \ (y * u) | x = K(z,y) * u. L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). x != K(y,z) * (K(y * z,u) * y) | x = K(y * z,u) * T(y,z). T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). T(x * K(x * ((y * z) \ z),y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / (x * y). K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(x * y,K(z,u)). K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(z,K(u,x * y)). K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). x != K(y,K(T(z,K(y,u)),w)) | x = K(y,K(z,w)). K(x,K(y,z * u)) = K(x,K(z * u,L(T(y,z * u),u,z))). K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). a(((x * y) \ x) \ 1,z,((x * y) \ x) \ 1) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). x != (y / z) \ T(y,K(u,w)) | x = z * K(u,K(w,y)). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * (K(y,z) * u))). (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * (K(z,u) * y))) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * y)) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * u)). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(x * u,L(y,u,x))). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(y,x * u)). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). T(x * (K(y,z) * u),K(z,L(y,u,x))) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). x != T(y,K(z,u)) * L(K(z,w),v5,v6) | x = T(y * L(K(z,w),v5,v6),K(z,u)). (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T((x * (K(z,u) * y)) * L(K(u,z),y,x),K(u,L(z,y,x))). T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(z,L(y,u,x))) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). T(x * T(y,K(z,u)),K(u,L(z,y,x))) = (x * T(y,K(z,u))) * K(z,K(u,x * y)). (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T(x * T(y,K(z,u)),K(u,L(z,y,x))). K(1 / x,x) \ ((1 / L(x,y,z)) * ((u * (1 / (1 / L(x,y,z)))) / u)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * ((x * (1 / (1 / L(y,z,u)))) / x)). K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * (1 / (1 / ((x * L(y,z,u)) / x)))). x != a(K(y,z),u * z,w) | x = K(y,a(z,u,w)). K(x,x * a(y,z,u)) = K(x,a(y,z,u)). K(x,a(y,z,u)) = a(y,z,K(x,u)). a(x,y,K(z,u)) = K(z,a(x,y,u)). x != a(y,z,K(z * u,u)) | x = 1. a(K(x * y,z),x,y) = 1. a(K(x,y),z,z \ x) = 1. L(x \ y,x,K(y,z)) = x \ y. x != L(y \ z,y,K(z,u)) | x = (K(z,u) * y) \ T(z,u). x \ y = (K(y,z) * x) \ T(y,z). (K(x,y) * z) \ T(x,y) = z \ x. T(x,y) / (z \ x) = K(x,y) * z. x != T(y,z) / ((1 / u) \ y) | x = K(y,z) / u. K(x,y) * (1 / z) = K(x,y) / z. K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). x != L(K(y,z),u,w) | x = K(L(y,u,w),z). K(x,y) = K(L(x,z,z \ 1),y). K(L(x,y,y \ 1),z) = K(x,z). x * y != L(K(z,u),w,w \ 1) | x \ K(z,u) = y. (1 / x) \ K(y,z) = x * K(y,z). x != K(y,L(z / u,u,u \ 1)) | x = K(y,z * (u \ 1)). K(x,y / z) = K(x,y * (z \ 1)). K(x,y * (z \ 1)) = K(x,y / z). K(x,(1 / y) * z) = K(x,y \ z). K((1 / x) * y,z) = K(x \ y,z). K(x * y,z) = K((x \ 1) \ y,z). K((x \ 1) \ y,z) = K(x * y,z). x != a(y,z,K(u,w)) | x = L(K(w,u),z,y) * K(u,w). a(x,y,K(z,u)) = L(K(z,x),y,u) * K(x,z). L(K(x,y),z,u) * K(y,x) = a(y,z,K(x,u)). x != a(y,z,K(u,w)) | x = K(u,a(y,z,w)). a(x,y,K(z,u)) = K(x,a(u,y,z)). a(x,y,K(z,K(u,w))) = a(w,y,K(x,K(z,u))). a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). a(x,y,K(z,K(u,w))) = a(z,y,K(x,K(u,w))). K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u). (1 / (x \ y)) * z != K(y,u) | z = x \ T(y,u). (x \ y) * K(y,z) = x \ T(y,z). x != (y / ((z * u) / z)) * K(z,u) | x = y / u. (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. x * K(x,y / z) = T(x,y * (1 / z)). T(x,y * (1 / z)) = x * K(x,y / z). x != K(y,z * u) | x = K(y,T(u * z,u)). K(x,(y \ 1) \ z) = K(x,T(z * y,z)). K(x,T(y * z,y)) = K(x,(z \ 1) \ y). x != K(y * (z \ (y \ u)),z) | x = K(z \ u,z). K(x \ (y \ ((1 / x) \ z)),y) = K(y \ z,y). K(x \ y,z) = K((x \ 1) * y,z). K((x \ 1) * y,z) = K(x \ y,z). x != K(y \ ((z * u) \ u),z \ 1) | x = K(y \ (z \ 1),z \ 1). K(x * ((y * z) \ z),y \ 1) = K((x \ 1) \ (y \ 1),y \ 1). K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). x * (y * K(x * y,z)) = T(x * y,z). T(x * K(y * x,z),y) = y \ T(x * y,z). (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. (x \ K(y,z)) \ (x \ 1) = K(z,y). a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). x * K(y,z) = (y / x) \ T(y,z). (x / y) \ T(x,z) = y * K(x,z). x != K((y / z) \ u,z / y) | x = K((z \ y) \ u,z / y). K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). x * K(y,z) = (K(z,y) / x) \ 1. (K(x,y) / z) \ 1 = z * K(y,x). T(x,y) / (z * K(x,y)) = x / z. 1 / (x * K(y,z)) = K(z,y) / x. T(x,y) / (z / T(y,x)) = x / (z / y). K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). T(x,y * (1 / z)) = T(x,y / z). x != T(y,z * (1 / (1 / u))) | x = T(y,z * u). T(x,y / (1 / z)) = T(x,y * z). K(x * (1 / y),z) = z / T(z,x / y). K(x,(y \ 1) \ z) != u | K(x,y * z) = u. T(x * y,L(z,y,x)) = T(x * y,z). (x * (y * z)) / T(x * y,z) = L(z,y,x). L(x,y,z) = (z * (y * x)) / T(z * y,x). T(x,y / x) / (z / (x \ y)) = x / (z / (y / x)). K(x * (1 / y),z) = K(x / y,z). K(x / y,z) = K(x * (y \ 1),z). K(x * (y \ 1),z) = K(x / y,z). K(x / (1 / y),z) = K(x * y,z). K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). K(x,y / T(z \ 1,z * (x * y))) != u | K(x,z * y) = u. L(x,K(y,T(z,x)),u) = (u * (x * K(y,z))) / T(u * K(y,T(z,x)),x). (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). a(x,y,K(z,u)) * K(z,x) = L(K(z,x),y,u). a(x,y,K(z,K(u,w))) = a(w,y,K(z,K(x,u))). a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),z,K(u,w)). (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). a(x,y,K(z,K(u,w))) = K(u,K(x,a(w,y,z))). a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). x != a(y,z,K(u,K(w,v5))) | x = a(w,z,K(y,K(v5,u))). K(x,K(y,a(z,u,w))) = a(x,u,K(y,K(z,w))). a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). x != L(K(y,K(z,u)),w,v5) | x = K(z,K(u,L(y,w,v5))). a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. x * y != (z \ ((y \ (z * u)) * y)) * z | x = y \ (u * z). (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). x != T(1 / (y * K(z,u)),K(u,z)) | x = 1 / (K(z,u) * y). (1 / x) * K(y,z) = 1 / (K(z,y) * x). 1 / (K(x,y) * z) = (1 / z) * K(y,x). K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). x \ (x / (1 / (y / x))) = (x / (1 / (x \ y))) / x. (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). x != L(K(y,z),u,w) | x = K(y,L(z,u,w)). K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))). x != K(y,L(z,u,w)) | x = L(K(y,z),z * u,w). K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),y * z,K(u,w)). x != K((y \ 1) \ z,u) | x = K(y * z,u). K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). x != K(y * (z \ 1),z \ 1) | x = K(z \ y,z \ 1). K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). x != K(y * ((z * u) \ u),z \ 1) | x = K(y * R(z \ 1,z,u),z \ 1). K(x \ y,x \ 1) = K(y * R(x \ 1,x,z),x \ 1). K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). x != T(K(y \ z,y \ 1) / y,z) | x = R(1 / y,z,y \ 1). R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). R(1 / (x / y),z,y / x) = R(1 / (x / y),z,(x / y) \ 1). R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). a(x,y \ z,K(y,K(u,w))) * K(x,K(u,w)) = K(u,K(w,z \ (y * ((y \ z) * x)))). K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u))). a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). (x \ (y * z)) * K(z,y) = x \ (z * y). (x * y) * K(y,z * x) = R(z,x,y) \ (y * (z * x)). R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). (x * (y * z)) / (z * T(x,y * z)) = R(y,z,x). R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). K(x,y) * z != L(K(x,y),u,K(w,v5)) | z = a(x,u,K(y,K(w,v5))). a(x,y,K(z,K(u,w))) = a(x,z * y,K(z,K(u,w))). a(x,y * z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). a(x,y,K(z,K(u,w))) = a(x,z \ y,K(z,K(u,w))). a(x,y \ z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). x != K(y,K(z,u)) * K(y,K(z,w)) | x = K(K(z,u) * K(w,z),y). a(x,y,K(z,K(u,w))) = K(K(w,L(x,y,u)) * K(x,w),z). K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). x != (1 / y) * K(z,1 / y) | x = K(z,1 / y) / y. (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). x != a(y,z,K(u,K(w,v5))) * K(y,K(u,v5)) | x = K(u,K(v5,L(y,z,w))). K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,u,1 / w))). K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). x / (x / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1. ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). x != a(y,z,K(u,K(w,v5))) * K(y,K(w,v5)) | x = K(w,K(v5,L(y,z,u))). K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). x != (1 / y) \ R(1 / y,z,u) | x = y * R(y \ 1,z,u). T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). x != (y / z) * R((y / z) \ 1,u,w) | x = (y * R(y \ z,u,w)) / z. T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. x != (y * R(y \ z,u,y \ z)) / z | x = a(y \ z,u,y \ z). T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). x != T(a(1 / y,z,u),y \ 1) | x = a(y \ 1,z,u). a(x \ y,z,x \ y) = a((x / y) \ 1,z,(x / y) \ 1). a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). x != T(y,K(z,u / z) / (u \ z)) | x = T(y,1 / (z / u)). (((x / (1 / (x \ y))) / x) \ 1) \ 1 = T((x / (1 / (x \ y))) / x,1 / (y / x)). T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. T((x / (1 / (x \ y))) / x,1 / (y / x)) = (x / ((x \ y) \ 1)) / x. x != T((y / (1 / (y \ z))) / y,1 / (z / y)) | x = y \ (y / ((z / y) \ 1)). (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). x != a((y / z) \ 1,u,(y / z) \ 1) | x = a(y \ z,u,y \ z). K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). x != K((y \ z) \ u,y / z) * K(y / z,u) | x = a((y \ z) \ 1,u,(y \ z) \ 1). a(x \ y,z,x \ y) = a((y \ x) \ 1,z,(y \ x) \ 1). a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). a(x \ (x * y),z,x \ (x * y)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). (1 / ((x * y) / x)) \ (y \ 1) = (1 / y) * (1 / (1 / ((x * y) / x))). (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). x != (1 / ((y * z) / y)) \ (z \ 1) | x = (T(z,y) \ 1) * z. (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((T(L(y,z,u),x) \ 1) * L(y,z,u)). ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). ((x / (x / y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). a(x,y,x) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). x != a(y,z,y) * K(z,y) | x = K(y * z,y). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). K(x * y,x) = K(y * (((z * x) \ z) \ 1),x). K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). K(((x * y) \ x) \ z,y) = K(y * z,y). K(((x * y) \ x) \ (y \ z),y) = K(z,y). x != K(y \ (z \ ((1 / y) \ u)),z) | x = K(z \ u,z). K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). x != K((1 / y) \ z,u) | x = K((y \ 1) \ z,u). K(x \ y,x) = K((((z * x) \ z) \ 1) \ y,x). K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). x != K((((y * z) \ y) \ 1) \ u,z) | x = K(u * ((y * z) \ y),z). K(x \ y,x) = K(y * ((z * x) \ z),x). K(x * ((y * z) \ y),z) = K(z \ x,z). x != K(y * ((z * u) \ z),u) | x = K(y * ((u * z) \ z),u). K(x \ y,x) = K(y * ((x * z) \ z),x). K(x * ((y * z) \ z),y) = K(y \ x,y). K(x * (y \ z),z \ y) = K((z \ y) \ x,z \ y). K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). T(x * K(y \ x,y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). x != K(y * (z \ u),u \ z) | x = K(y * (u / z),u \ z). K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). x != y * K(y * (z / u),z \ u) | x = ((1 / (u \ z)) \ y) * (1 / (u \ z)). ((x \ y) \ z) * (x \ y) = ((1 / (y \ x)) \ z) * (1 / (y \ x)). ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). x != T((y \ z) * y,u) \ T(z,u) | x = K(y,T(y \ z,u)). K(x,y * ((x * z) \ z)) = K(x,T(x \ y,z \ (x \ z))). K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). x != K(y,T(z,u \ (y \ w))) | x = K(y,T(z,u \ w)). K(x,y * ((x * z) \ z)) = K(x,T(x \ y,z \ z)). K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). K(x,x \ y) = K(x,y * ((x * z) \ z)). K(x,y * ((x * z) \ z)) = K(x,x \ y). x != K(y,z * ((y * u) \ u)) | x = K(y,R(y \ 1,y,u) * z). K(x,x \ y) = K(x,R(x \ 1,x,z) * y). K(x,R(x \ 1,x,y) * z) = K(x,x \ z). x != K(y,R(y \ 1,y,z) * u) | x = K(y,u * (z / (y * z))). K(x,x \ y) = K(x,y * (z / (x * z))). K(x,y * (z / (x * z))) = K(x,x \ y). x != K(y \ z,u * (w / ((y \ z) * y))) | x = K(y \ z,u * (w / z)). K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). x != y * K(z \ u,y * (z / u)) | x = (1 / (u \ z)) * (y / (1 / (u \ z))). (x \ y) * (z / (x \ y)) = (1 / (y \ x)) * (z / (1 / (y \ x))). (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(y,1 / y) * ((T(L(y,z,u),x) \ 1) * L(y,z,u)). x != K(y,1 / y) * (z * L(y,u,w)) | x = z * L((y \ 1) \ 1,u,w). K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). K(x,1 / (K(1 / y,y) \ (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). K(x,1 / (K(y,1 / y) * (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). K(x,1 / (1 / (1 / (1 / L(y,z,u))))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). x != K(y,1 / (z / (z / (1 / u)))) | x = K(y,T(u,z)). (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). K(R(x,y,z),u) = u / T(u,L(x,y,z)). x / T(x,L(y,z,u)) = K(R(y,z,u),x). K(x,y / (z * u)) = K(x,L((y / u) / z,z,u)). K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). K(x,T(y / (z * u),z)) = K(x,L(z \ (y / u),z,u)). K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). L(K(x / (y / z),u),x,z) = K((x * z) / y,u). L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). K(L(x,y,z),u) = K(R(x,y,z),u). K(R(x,y,z),u) = K(L(x,y,z),u). K(R(x,y,z),u) != w | K(L(x,y,z),u) = w. K(x,y) != z | K(L(x,a(u,w,u),v5),y) = z. K(L(x,a(y,z,y),u),w) = K(a(v5,v6,v5) * x,w). K(L(x,y,z) \ 1,u) = K(R(x,y,z) \ 1,u). K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u). (x \ K(L(y,z,u) \ 1,w)) \ (x \ 1) = K(w,R(y,z,u) \ 1). K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). x != L(K(y,T(z,u \ w)),u \ w,u) | x = w \ (u * (K(y,z) * (u \ w))). K(((x \ y) * x) / z,T(u,x \ y)) = y \ (x * (K((x \ y) / (z / x),u) * (x \ y))). x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). K(a(x,y,x) * z,u) != w | K(z,u) = w. K(x * a(y,z,y),u) != w | K(x,u) = w. K(T(x,y) / y,z) != u | K(y \ x,z) = u. K(x / T(y,x),z) != u | K(y \ x,z) = u. K(x,(y * z) \ K(y,1 / y)) = K(x,T(1 / (z * y),z)). K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). K(x,L(y,z,u) \ 1) = K(x,R(y,z,u) \ 1). K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). K(x,T((y * z) / u,u / z) \ 1) = K(x,L((u / z) \ y,u / z,z) \ 1). K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). x != L(K(y,z),u,w) * v5 | x = T(v5 * L(K(y,z),u,w),K(z,L(y,u,w))). x * T(y,K(z,u) * x) = T((y * (K(z,u) * x)) * L(K(u,z),x,y),K(z,L(u,x,y))). T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(y,L(z,u,x))) = u * T(x,K(y,z) * u). x != K(y,T(z,u) \ 1) | x = K(y,T(z \ 1,u)). K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). x != K(y,T((z / u) \ 1,w)) | x = K(y,T(u / z,w)). K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). K(x,(y * z) \ (y * (u / y))) = K(x,T(u / (z * y),u / y)). K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). x != K(y,((z \ u) * z) \ w) | x = K(y,T(u,z) \ w). K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). K(x,T(y / ((z / (z * u)) * (z * u)),y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). x * y != T(z * T(u,K(w,v5)),K(v5,L(w,u,z))) | x \ ((z * T(u,K(w,v5))) * K(w,K(v5,z * u))) = y. x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * T(x,K(z,w))))) = T(y,K(u,z) * x). K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). (x * y) * K(z,u) != w * (y * K(z,u)) | L(x,y,K(z,u)) = w. x \ (((y * T(x,K(z,u))) * K(z,u)) * ((K(z,u) * (y * T(x,K(z,w)))) \ (y * T(x,K(z,w))))) = T(y,K(u,z) * x). K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). x \ T(y * T(x,K(z,u)),K(z,z * u)) = T(y,K(z * u,z) * x). x \ T(y * T(x,K(z,u)),K(z,u \ 1)) = T(y,K(u \ 1,z) * x). K(T(x,K(y,z) * (u * K(w,v5))),v5) = K(u \ T(x * T(u * K(w,v5),K(z,y)),K(z,y)),v5). K(x \ T(y * T(x * K(z,u),K(w,v5)),K(w,v5)),u) = K(T(y,K(v5,w) * (x * K(z,u))),u). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). x != y \ T(z * T(y,K(u,w)),K(u,w)) | x = T(z,K(w,u) * y). T(x,K(y,z) * u) = T(x,K(z,y) * u). x * T(y,K(z,u) * x) = T(y * T(x,K(z,u)),K(z,u)). T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). x * y != T(z,K(u,w) * v5) | x \ T(z,K(w,u) * v5) = y. x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). T(x,T(y,z) * u) = T(x,K(z,y) * (y * u)). T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). K(x,K(y,z) * u) = K(x,K(z,y) * u). K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. K(x,T(y,z) \ u) = K(x,K(y,z) * (y \ u)). K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). K(x,T(y / z,T(u,z))) = K(x,K(u,z \ y) * (y / z)). K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). T(x,((y * z) / y) * u) = T(x,T(z,y) * u). K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). T(x,y * z) = T(x,T(T(y,u),u) * z). T(x,T(T(y,z),z) * u) = T(x,y * u). T(x,y * T(T(z,u),u)) = T(T(x,K(y,z)),z * y). T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). x != K(y,z \ T(u,z)) | x = K(y,u / z). K(x,T(y,z) \ T(u,(z * y) / z)) = K(x,u / ((z * y) / z)). K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). T(x,y * z) = T(x,y * T(T(z,u),u)). T(x,y * T(T(z,u),u)) = T(x,y * z). T(x,y * T(z,u)) = T(x,y * ((u * z) / u)). T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). K(x * ((y * z) / y),u) = K(x * T(z,y),u). K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). x != K(y,(L(z,u,z) * w) \ v5) | x = K(y,(z * w) \ v5). K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). K(x,T(y,z) \ T(u,T(y,z))) = K(x,u / ((z * y) / z)). K(x,y / ((z * u) / z)) = K(x,y / T(u,z)). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z * u,z) * x). T(x,K(y * z,y) * u) = T(x,K(z,y) * u). x != T(y,K(z,u) * w) | x = T(y,K(u,z) * w). T(x,K(y,z) * u) = T(x,K(z,z * y) * u). T(x,K(y,y * z) * u) = T(x,K(z,y) * u). x * y != T(z,K(u * w,u) * v5) | x \ T(z,K(w,u) * v5) = y. x \ T(x,K(y,z) * u) = K(x,K(z * y,z) * u). K(x,K(y * z,y) * u) = x \ T(x,K(z,y) * u). T(x,y * K(z,z * u)) = T(T(x,K(y,K(z,u))),K(u,z) * y). T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). K(x,K(y * z,y) * u) = K(x,K(z,y) * u). K(x,K(y,z) * u) = K(x,K(z \ y,z) * u). K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). T(x,y * K(z,u)) = T(x,y * K(u,u * z)). T(x,y * K(z,z * u)) = T(x,y * K(u,z)). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u \ 1,z) * x). T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). x * y != T(z,K(u \ 1,w) * v5) | x \ T(z,K(u,w) * v5) = y. x \ T(x,K(y,z) * u) = K(x,K(y \ 1,z) * u). K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). T(x,y * K(z \ 1,u)) = T(x,K(z,u) * T(y,K(u,z \ 1))). T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). K(x,K(y \ 1,z) * u) != w | K(x,K(y,z) * u) = w. K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). K(x,y * T(y \ (z \ y),u)) = K(x,K(z,u) * (z \ y)). K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). K(x,K(y,z \ u) * w) = K(x,K(u \ z,y) * w). K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). K(x,y * K(z,u \ 1)) = K(x,K(u,z) * T(y,K(z,u))). K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,y \ 1)). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). x != K(y,K(z \ u,z) * w) | x = K(y,K(u,z) * w). K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). x != K(y,K(z,u) * (z \ w)) | x = K(y,T(z,u) \ w). K(x,K(y,z) * (z \ u)) = K(x,T(z,y \ z) \ u). K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). K(x,K(y * K(z,y),u) * z) = K(x,(z * y) * T((z * y) \ ((y * K(z,y)) \ (z * y)),u)). K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). K(x,y * K(z,u)) = K(x,y * K(u,z \ 1)). K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). 1 / K(x,y * K(z,u)) = K(y * K(u,z \ 1),x). K(x * K(y,z \ 1),u) = 1 / K(u,x * K(z,y)). K(x * K(y,z \ 1),u) = K(x * K(z,y),u). x != K(y * K(z,(y \ u) \ 1),T(w,u)) | x = K(((z * (u \ y)) / z) * u,w). K(x * K(x \ y,z),T(u,y)) = K(((z * (y \ x)) / z) * y,u). K(((x * (y \ z)) / x) * y,u) = K(z * K(z \ y,x),T(u,y)). T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)). T(x,y * K(z,u)) = T(x,y * K(z \ 1,u)). T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). x != K(y,K(z,u \ w) * (w / u)) | x = K(y,T(w / u,T(z,u))). K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). x != K(y,T(z / u,z / (u * w))) | x = K(y,(u * K(u * w,w \ 1)) \ ((u * w) * (z / (u * w)))). K(x,T(y / z,T(u,z))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). K(x,T(y / z,y / (((u \ 1) \ 1) \ z))) = K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))). K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (((u \ 1) \ 1) \ z))). K(x,(y * K(z,u)) \ w) = K(x,(K(z,u \ K(u,y)) * y) \ w). K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). K(x,(y * K(z,u)) \ w) = K(x,(K(u \ K(u,y),z) * y) \ w). K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). K(x,(y * K(z \ 1,u)) \ K(u,K(y * K(u,z),z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). K(x \ K(y,z \ 1),u) = K(x \ (z * T(z \ 1,y)),u). K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). (x \ K(y \ K(z,u \ 1),w)) \ (x \ 1) = K(w,y \ K(u \ 1,z)). K(x,y \ K(z,u \ 1)) = K(x,y \ K(u \ 1,z)). K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). x != K(y,(z * K(u,w \ 1)) \ v5) | x = K(y,(z * K(u,w)) \ v5). K(x,T(y / z,T(u,z))) = K(x,(z * K(z * u,u)) \ ((z * u) * (y / (z * u)))). K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). x != K(y,(z * K(u * w,w)) \ v5) | x = K(y,(z * K(u,w)) \ v5). K(x,T(y / z,T(u,z))) = K(x,(z * K(z,u)) \ ((z * u) * (y / (z * u)))). K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). K(x,T(y,z) \ ((y * T(z,y)) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). x != K(T(y,z * (u * K(w,v5))),v5) | x = K(y,T(v5,z * u)). K(x \ T(y * T(x * K(z,u),K(w,v5)),K(w,v5)),u) = K(y,T(u,K(v5,w) * x)). K(x \ T(y * T(x * K(z,u),K(w,v5)),K(w,v5)),u) = K(y,T(u,K(w,v5) * x)). K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). 1 / K(x,y * K(z,u)) = K(y * K(z \ 1,u),x). K(x * K(y \ 1,z),u) = 1 / K(u,x * K(y,z)). K(x * K(y \ 1,z),u) = K(x * K(y,z),u). x != K(y * K((y \ z) \ 1,u),T(w,z)) | x = K(z * T(y / z,u),w). K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). x != K(y * K(y \ z,u),T(w,z)) | x = K(((u * (z \ y)) / u) * z,w). K(x * T(y / x,z),u) = K(((z * (x \ y)) / z) * x,u). K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). x != K((y \ 1) * T(z / (y \ 1),u),w) | x = K(y \ T(z * y,u),w). K(((x * y) / x) / z,u) = K(z \ T((z \ y) * z,x),u). K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). K(T(x,y) / z,u) = K(((y * x) / y) / z,u). K(((x * y) / x) / z,u) = K(T(y,x) / z,u). x != K(((y * z) / y) / T(u,T(z,y)),w) | x = K(T(z * K(y,z),u) / u,w). K(T(x,y) / T(z,T(x,y)),u) = K(T(x * K(y,x),z) / z,u). K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). K(x \ (y * K(z,y)),u) = K(T(y,z) / T(x,T(y,z)),u). K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). K(x \ T(y,z),u) = K(x \ (y * K(z,y)),u). K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). K(x \ y,z) = K(x \ T(T(y,u),u),z). K(x \ T(T(y,z),z),u) = K(x \ y,u). 1 / K(x \ y,z) = K(z,x \ T(T(y,u),u)). K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). K(x,y \ T(T(z,u),u)) = K(x,y \ z). K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). K(x,y \ T(z,u)) = K(x,y \ (z * K(u,z))). K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). x != K(y,z \ (u * K(w,u))) | x = K(y,(u \ z) \ K(w,u)). K(x,y \ T(z,u)) = K(x,(z \ y) \ K(u,z)). K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). x != K(y,z \ T(u * w,u)) | x = K(y,z \ (w * u)). K(x,y \ (z * (u / z))) = K(x,y \ ((u / T(z,u)) * z)). K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). K(x,y \ T(z,u)) = K(x,y \ (u * (z / u))). K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). x != K(y,T(z,u) \ ((u * z) * (w / (u * z)))) | x = K(y,T(w / z,u)). K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). K(x,T(y * z,(y * z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). K(x,T(y / z,u \ 1)) = K(x,T(y / z,y / (u \ z))). K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). x != K(y,T(z / u,z / (w \ u))) | x = K(y,T(u,w) \ ((w \ u) * (z / (w \ u)))). K(x,T(y / z,u)) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). K(x,T(y,T(y,z) / z) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). K(x,(y * K(z \ 1,u)) \ K(u,K(y,z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). K(x,(y * K(z \ 1,u)) \ K(y,K(z,u))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). K(x,(K(y \ 1,z) * u) \ 1) = K(x,(L(K(z,y),u,K(z,y)) * u) \ 1). K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). x != K(y,(K(z,u) * w) \ 1) | x = K(y,w \ K(u,z)). K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). K(x,y \ K(z,u \ 1)) = K(x,(K(z,u) * y) \ 1). K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). K(x,y \ K(z,u)) = K(x,y \ K(u,z \ 1)). K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). x != K(y,z \ K(u,w \ 1)) | x = K(y,z \ K(w \ 1,u)). K(x,y \ K(z,u)) = K(x,y \ K(z \ 1,u)). K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). x != K(y,(z \ u) \ K(w \ 1,z)) | x = K(y,u \ T(z,1 / w)). K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). x != K(y,(z \ u) \ K(w,z)) | x = K(y,u \ T(z,w)). K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). K(x,y \ T(z,u)) = K(x,y \ T(z,u \ 1)). K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). K(x,y \ T(z,T(u,w))) = K(x,y \ T(z,w \ (u \ w))). K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). K(x,T(y,z \ y) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). x != K(y,T(z,u \ z) \ w) | x = K(y,T(z,u) \ w). K(x,T(y / z,T(z,u) / u)) = K(x,T(z,u) \ (T(u,z) * (y / T(u,z)))). K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). x != K(y,z \ (u * (w / u))) | x = K(y,z \ T(w,u)). K(x,T(y / z,u \ z)) = K(x,T(z,u) \ T(y,T(u,z))). K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). x != K(y,T(z,z \ u) \ w) | x = K(y,((z \ u) \ u) \ w). K(x,T(y / (z * u),(z * u) \ u)) = K(x,(((z * u) \ u) \ u) \ T(y,u * K(z \ 1,u * z))). K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). x != K(y,T(z * u,u) \ w) | x = K(y,(u * z) \ w). K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). K(x,T(y / (z * u),T(z,u))) = K(x,(u * z) \ T(y,T(u,z))). K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))). K(x,(y * K(z \ 1,y * z)) \ T(u,T((y * z) \ y,y * z))) = K(x,T(u / ((y * z) * ((y * z) \ y)),T(y * z,(y * z) \ y))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T((z * u) \ z,z * u))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z / (z * u))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z \ (u \ z))). x != K(y,z \ T(u,w \ (v5 \ w))) | x = K(y,z \ T(u,T(v5,w))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T(u,z))). x != K(y,(z * K(u \ 1,w)) \ v5) | x = K(y,(z * K(w,u)) \ v5). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z * u,u)) \ T(y,T(u,z))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z,u)) \ T(y,T(u,z))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(z,u) \ T(y,T(u,z))). x != K(y,T(z,u) \ T(w,T(u,z))) | x = K(y,T(w / z,u \ z)). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). K(x,T(y / z,u * z)) = K(x,T(y / z,u \ z)). K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). K(x,T(y,z \ u)) = K(x,T((y * u) / u,z * u)). K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). K(x,T(y / z,u)) = K(x,T(y / z,(z / u) * z)). K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). K(x,T(y,z * u)) = K(x,T(y,z \ u)). K(x,T(y,z \ u)) = K(x,T(y,z * u)). K(x,T(y,T(z,u))) = K(x,T(y,u * (z \ u))). K(x,T(y,z * (u \ z))) = K(x,T(y,T(u,z))). K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). x != K(y,T(z,u * (w \ u))) | x = K(y,T(z,T(w,u))). K(x,T(y / z,u)) = K(x,T(y / z,T(u,z))). K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). K(x,K(y,T(z,u))) = K(z,K(x,y)). K(T(x,y),K(z,u)) = K(x,K(z,u)). K(x,K(y,T(z,u))) = K(x,K(y,z)). K(x,K(y,T(z,u))) = K(x,K(z,y)). K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. x * K(y,K(z,u)) = K(y,K(z,u)) * x. K(x,K(y,z)) * u = u * K(x,K(y,z)). x != K(y,K(z,T(1 / L(1 / u,w,v5),v6))) | x = K(y,T(L(K(u,z),w,v5),v6)). K(x,K(y,1 / L(1 / z,u,w))) = K(x,T(L(K(z,y),u,w),v5)). K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,1 / L(1 / y,u,w))). K(x,K(y,z \ u)) = K(x,K(y,u / z)). K(x,K(y,z / u)) = K(x,K(y,u \ z)). K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). K(x,K(y,z * u)) = K(x,K(y,u * z)). K(x,K(y \ z,u)) = K(x,K(u,z / y)). K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). K(x,T(y,z)) * u = (K(x,y) * u) * K(x,K(y,z)). (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. T(x,K(y,K(z,u))) = x. x != (y * z) * K(u,K(w,L(v5,z,y))) | x = y * (z * K(u,K(w,v5))). K(x,K(y,L(z,u,w))) * (w * u) = w * (u * K(x,K(y,z))). x != (y * K(z,u)) * K(z,K(u,w)) | x = y * T(K(z,u),w). K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). T(x,K(y,z) * u) = T(x,u * K(y,z)). K(x,T(y,K(z,u))) = K(x,y). K(x,K(y,K(z,u))) = 1. x \ T(y * x,K(z,K(u,w))) = T(y,K(K(u,w),z) * x). K(K(x,y),K(z,u)) = 1. T(K(x,y),K(z,u)) = K(x,y). K(x,y * K(z,u)) = K(x,K(z,u) * y). K(x,K(y,z) * u) = K(x,u * K(y,z)). K(x,K(y,z) / u) = K(x,u \ K(y,z)). K(x,T(y,z \ u)) = K(x,T(y,u / z)). K(x,T(y,z / u)) = K(x,T(y,u \ z)). K(x,T(y,K(z,u))) != w | K(x,y) = w. K(x,T(y,z * u)) = K(x,T(y,u * z)). T(K(x,y),z) = T(K(x,y),T(z,u)). T(K(x,y),T(z,u)) = T(K(x,y),z). x != T(K(y,z),u) | x = T(K(y,z),T(u,w)). T(K(x,y),T(z,u)) = T(K(x,y),T(z,w)). K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. K(x,K(y,z / u)) = K(x,K(y,z \ u)). x != K(y,K(z / u,(w * z) \ K(w,1 / w))) | x = K(y,K(z \ (1 / w),L(z / u,u,w))). K(x,K(y / z,K(u,1 / u) / (u * y))) = K(x,K(y \ (1 / u),L(y / z,z,u))). K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). x != K(y,K(y / z,(u * w) \ v5)) | x = K(y,K(w \ (u \ v5),L(z,w,u))). K(x,K(x / y,z / (u * w))) = K(x,K(w \ (u \ z),L(y,w,u))). K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,u / (z * y))). K(x,K(y,z / u)) = K(x,K(y,(1 / u) * z)). K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). K(x,K(y,z * u)) = K(y,K(x,u * z)). K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. x != K(y,K(z / u,w * u)) | x = K(y,K(z / u,w * z)). K(x,K(y,z / u)) = K(x,K(z / u,(u \ y) * z)). K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). T(x * T(y,K(z,u)),K(z,u)) = y * T(x,y * K(z,u)). K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y,z))). x != K(y,(z * u) \ K(z,1 / z)) | x = K(y,T(1 / (u * z),u)). K(x,K(y,1 / y) / (y * z)) = K(x,T(1 / (z * y),z)). K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). x != K(((y \ z) * y) / u,T(w,y \ z)) | x = z \ (y * (K((y \ z) / (u / y),w) * (y \ z))). K(((x \ y) * x) / z,T(u,y / x)) = y \ (x * (K((x \ y) / (z / x),u) * (x \ y))). x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). (x * y) * K(z,T(u,y * x)) = K(z,u) * (x * y). T(K(x,y) * z,u) * T(K(y,x),T(w,v5)) = K(y,T(x,w)) * T(z * K(x,y),u). K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). K(x,K(y,z \ u)) != w | K(x,K(y,u / z)) = w. K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. x \ (y * x) = T(y,K(K(z,u),w) * x). T(x,K(K(y,z),u) * w) = w \ (x * w). T(x,K(K(y,z),u) * w) = T(x,w). T(x,y) = T(x,y * K(z,K(u,w))). T(x,y * K(z,K(u,w))) = T(x,y). K(x * K(y,K(z,u)),w) = w / T(w,x). K(x * K(y,K(z,u)),w) = K(x,w). K(x * K(y,K(z,u)),w) != v5 | K(x,w) = v5. K(x \ T(y,K(z,u)),w) = K(x \ y,w). T(x * K(y,K(z,u)),w) = K(x,w) * (x * K(y,K(z,u))). K(x,y) * (x * K(z,K(u,w))) = T(x * K(z,K(u,w)),y). x != K(y \ T(z * T(y * K(u,w),K(v5,v6)),K(v5,v6)),w) | x = K(z,T(w,K(v5,v6) * y)). K(x \ (y * T(x * K(z,u),K(w,v5))),u) = K(y,T(u,K(w,v5) * x)). T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). x != K(y,K(z,1 / z) / u) | x = K(y,1 / u). K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). x != K(y,T(1 / z,u)) | x = K(y,u / (u * z)). K(x,1 / (y * z)) = K(x,z / (z * (z * y))). K(x,y / (y * (y * z))) = K(x,1 / (z * y)). T(x,y) * K(z,K(u,w)) = T(x * K(z,K(u,w)),y). T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). x != K(y,K(z,u \ w)) | x = K(y,K(z,w / u)). K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y \ 1,z))). K(x,K(y,L(z,u,w))) = K(x,K(y,(w * (z * u)) / (w * u))). K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). K(x,K(y,T(L(z,u / z,w),u / z))) = K(x,K(y,(w * u) / (w * (u / z)))). K(x,T(L(K(y,z),u,w),v5)) = K(x,1 / L(K(y,z),u,w)). x != K(y,1 / L(K(z,u),w,v5)) | x = K(y,L(K(z,u),w,v5)). K(x,T(L(K(y,z),u,w),v5)) = K(x,L(K(y,z),u,w)). K(x,T(L(K(y,z),u,w),v5)) != v6 | K(x,K(z,L(y,u,w))) = v6. T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). x != K(y,K(y / z,u)) | x = K(y,K(z,u)). K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). x != K(y,K(z,L(u,w,v5)) * (v5 * w)) | x = K(y,v5 * (w * K(z,u))). K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). x != K(y,z * (u * K(u \ 1,w))) | x = K(y,z * (((w * (u \ 1)) / w) \ 1)). K(x,y * (z * K(z,u))) = K(x,y * (((u * (z \ 1)) / u) \ 1)). K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). x != K(y,z * (u \ 1)) | x = K(y,z / u). K(x,y * T(z,u)) = K(x,y / ((u * (z \ 1)) / u)). K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). x != K(y,z / ((u * w) / u)) | x = K(y,z / T(w,u)). K(x,y * T(z,u)) = K(x,y / T(z \ 1,u)). K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). K(x,y * z) = K(x,z * T(y,y * (x * z))). K(x,y * T(z,z * (x * y))) = K(x,z * y). K(x,y * T(z,x * y)) = K(x,z * y). T(x,y * T(z,x * y)) = K(x,z * y) * x. T(x,y * T(z,x * y)) = T(x,z * y). x != T(y,K(z,u) * w) | x = w \ T(y * T(w,K(z,u)),K(u,z)). T(x,y * K(z,u)) = T(y,x * K(z,u)) \ T(x * T(T(y,x * K(z,u)),K(z,u)),K(u,z)). T(x,y * K(z,u)) \ T(y * T(T(x,y * K(z,u)),K(z,u)),K(u,z)) = T(y,x * K(z,u)). x != K(y \ (z * T(y * K(u,w),v5)),w) | x = K(z * K(y * K(u,w),v5),T(w,y)). K(x,T(y,K(z,u) * w)) = K(x * K(w * K(v5,y),K(z,u)),T(y,w)). K(x * K(y * K(z,u),K(w,v5)),T(u,y)) = K(x,T(u,K(w,v5) * y)). K(x,T(y,z)) = K(x,T(y,K(u,w) * z)). K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). K(x,T(y,z * K(u,w))) = K(x,T(y,z)). (x * K(y,z)) * K(u,T(w,x)) = K(u,w) * (x * K(y,z)). K(x,T(y,z)) = K(x,T(y,z / K(u,w))). K(x,T(y,z / K(u,w))) = K(x,T(y,z)). K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). ((1 / x) * K(y,z)) * K(u,x) = K(u,x) * ((1 / x) * K(y,z)). K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). K(x,y) * z != K(x,T(y,u)) * (u * K(w,v5)) | T(u * K(w,v5),K(x,y)) = z. T(x * K(y,z),K(u,w)) = K(u,K(w,x)) * (x * K(y,z)). K(x,K(y,z)) * (z * K(u,w)) = T(z * K(u,w),K(x,y)). x != K(y,z) * (K(u,w) / w) | x = K(y,z) / T(w,u). (K(x,y) / y) * K(z,u) = K(z,T(u,y)) / T(y,x). K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). x != K(y,T(z,u)) / T(u,w) | x = ((1 / u) * K(y,z)) * K(w,u). (K(x,y) / y) * K(z,u) = ((1 / y) * K(z,u)) * K(x,y). ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). T(x,K(y,z)) * K(u,w) = T(x * K(u,w),K(y,z)). T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z). x * y != T(y,K(z,u)) | x = K(z,K(u,y)). K(x,K(y,z)) = K(x,K(y,z * K(u,w))). K(x,K(y,z * K(u,w))) = K(x,K(y,z)). K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). K(x,K(y,z / u)) = K(x,K(y,z / T(u,w))). K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). K(x,K(y,z * u)) = K(x,K(y,(z * K(w,v5)) * u)). K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). K(x,K(y,z * u)) = K(x,K(y,((w * z) / w) * u)). K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). K(x,K(y,z * u)) = K(x,K(y,z * (K(w,v5) * u))). K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). K(x,K(y,z)) = K(x,K(y * K(u,w),z)). K(x,K(y * K(z,u),w)) = K(x,K(y,w)). K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. K(x,K(y,L(z * K(u,w),v5,v6))) = K(x,K(z,L(y,v5,v6))). K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). x != K(y,K(z,u)) | x = K(y,K(z * K(w,v5),u)). K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). x != K(y,K(T(z,u) / w,L(v5,w,u))) | x = K(y,K(v5,(z * u) / (u * w))). K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). K(x,y) * T(z,K(u,w)) = T(K(x,y) * z,K(u,w)). T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). x != K(y,K(z,u * w)) | x = K(y,K(z,w * u)). K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,v5 * z)). x != K(y,K(z / u,L(w,z,v5))) | x = K(y,K(w,L(z / u,u,v5))). K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(K(v5,v6) / y,y,v7))). x != K(y,K(z,u / w)) | x = K(y,K(z,w / u)). K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). K(x,K(y,z * (K(u,w) * v5))) != v6 | K(x,K(y,z * v5)) = v6. x != K(y,K(z,(u * (w * v5)) / (u * v5))) | x = K(y,K(z,L(w,v5,u))). K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). K(x,K(y,a(z,u,u \ w))) = K(x,K(y,((u \ w) * (z * u)) / T(z * w,a(z,u,u \ w)))). K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = K(x,K(y,a(w,z,z \ u))). K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,((u / z) / w) * v5)). K(x,K(y,((z / u) / w) * v5)) = K(x,K(y,((u \ z) / w) * v5)). K(x,K(y,(z / u) * w)) = K(x,K(y,((v5 / (v5 / z)) / u) * w)). K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). x != K(y,K(z,(1 / u) * w)) | x = K(y,K(z,w / u)). K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). K(x,K(y,z / u)) = K(x,K(y,(u * K(w,v5)) / z)). K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). x != K(y,K(z,(u * w) / v5)) | x = K(y,K(z,v5 / (w * u))). K(x,K(y,(z * u) / w)) = K(x,K(y,w / (T(u,v5) * z))). K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,(v5 * (w / u)) / z)). K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). x != K(y,K(z,L(u,w \ v5,w))) | x = K(y,K(z,L(u,v5,w))). K(x,K(y,(z * u) / (u * (u \ w)))) = K(x,K(z / (u \ w),L(y,w,u))). K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). K(x,K(T(R(y,K(z,u),w),K(z,u)),L(v5,K(z,u) * w,v6))) = K(x,K(v5,(((K(z,u) * y) * w) * v6) / (v6 * (K(z,u) * w)))). K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * z) * w)) = v5. K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. x != K(y,z) * ((1 / u) * K(w,v5)) | x = K(y,z) / (K(v5,w) * u). ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). x != ((1 / y) * K(z,u)) * K(w,y) | x = (K(w,y) / y) * K(z,u). K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). K(x,L(K(y,z),K(u,w) / w,v5)) * K(K(y,z),x) = a(v5,K(u,w) / (K(z,y) * w),K(K(y,z),x)). K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,((u \ (u * ((1 / u) * z))) * w) * v5)). K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). K(x,K(y,z * ((u / w) / v5))) = K(x,K(y,((w \ u) / v5) * z)). K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) / T(K(x,y),z). T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). x != K(y,K(z,L(K(u,w) / v5,v6,v7))) | x = K(y,K(z,L(v5,v6,v7))). K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). x != K(y,K(z,L(u,u,w))) | x = K(y,K(u,z)). K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). K(x,T(y,z / u)) = K(x,T(y,(u * K(w,v5)) / z)). K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). x != K(y,T(L(z,u,T(y,w)),v5)) | x = K(y,T(z,v5)). K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). K(x,T(y,z / (u / (w \ v5)))) = K(x,T(y,z / (u / (v5 / w)))). K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). K(1 / x,T(y,z / (u / w))) / x = T(1 / x,T(y,z / (u / T(w,v5)))). T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). T(K(x,y) * z,u) * K(y,T(x,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). x != T(K(y,T(z,u)) * w,v5) * K(z,y) | x = K(y,z) \ T((K(y,K(z,u)) * w) * K(y,z),v5). T(K(x,y) * z,u) * K(y,T(x,w)) = K(x,y) \ T((K(x,K(y,w)) * z) * K(x,y),u). K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,y) * u,w) * K(y,T(x,z)). K(x,T(L(K(y,z),u,w),u / z)) = K(x,K(y,(w * u) / (w * (u / z)))). K(x,K(y,(z * u) / (z * (u / w)))) != v5 | K(x,K(w,L(y,u,z))) = v5. T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). x != K(y,K(z,K(u,w) / v5)) | x = K(y,K(v5,z)). K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). x != K(y,K((1 / (z \ u)) / w,L(w / z,z,z \ u))) | x = K(y,K(u,(1 / (z \ u)) / w)). K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). x != K(y,K(z / u,(u \ w) * z)) | x = K(y,K(w,z / u)). K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). x != K(y,K(z,(1 / u) / w)) | x = K(y,K(z,w * u)). K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). x != K(y,K(z,u / (w / (w / v5)))) | x = K(y,K(z,u / v5)). K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). K(x,y) \ T(K(x,K(y,z)) * (u * K(x,y)),w) = T(K(x,y) * u,w) * K(y,T(x,z)). x \ (x * K((y * (z / y)) \ x,u)) = K(((y \ x) * y) / z,T(u,x / y)). K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). K(1 / x,T(y,z / u)) = K((u * ((x * ((u \ z) * u)) / u)) \ z,y). K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. K(((1 / (x \ y)) * ((z * (((y \ x) \ u) * (y \ x))) / (1 / (x \ y)))) \ u,w) = K(1 / z,T(w,u / (1 / (x \ y)))). K(x,y) \ T(z * K(x,T(y,u)),w) = T(K(x,y) * z,w) * K(y,T(x,u)). K(x,y) * T(z * K(y,T(x,u)),w) = T(K(y,x) * z,w) * K(x,T(y,u)). T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). x != T(K(y,z) * u,w) * K(z,T(y,v5)) | x = K(z,T(y,v5)) * T(u * K(y,z),w). K(x,y) * T(z * K(y,T(x,u)),w) = K(x,T(y,u)) * T(z * K(y,x),w). K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(u,z)) = T(y,x * K(z,u)). x != K(y,K(z,a(u,w,v5))) | x = a(z,w,K(y,K(v5,u))). K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(z \ u,w))). T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(z,u)) = T(y,x * K(z,u)). K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(w,u / z))). T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). x != T(y,z) \ (T(y,u) * w) | x = K(y,u) * (K(z,y) * w). T(x,y * K(z,u)) = K(y,K(z,u)) * (K(x * K(z,u),y) * T(x,K(z,u))). K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). x != K(y,T(z,u)) * T(w * K(z,y),v5) | x = K(y,z) * T(w * K(z,T(y,u)),v5). T(x,y * K(z,u)) = K(u,z) * T(x * K(z,T(u,y)),y). K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). K(x,y) * T(z,u * K(x,y)) = T(z * K(x,T(y,u)),u). T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). R(x,K(y,z),u) = (u * (x * K(y,z))) / T(u * K(y,T(z,x)),x). (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). x != (y * (z * K(u,w))) / T(y * K(u,T(w,z)),z) | x = L(z,K(u,T(w,z)),y). R(x,K(y,z),u) = L(x,K(y,T(z,x)),u). L(x,K(y,T(z,x)),u) = R(x,K(y,z),u). x != K(y,K(z,u / T(w,v5))) | x = K(y,K(z,u / w)). a(x,y,K(z,K(u,w / y))) = K(z,K(x,((y \ w) * (u * y)) / (u * w))). K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). K(x,K(y,(z * u) * R(L(w / v5,v5,1 / v5),z,u))) = K(x,K(y,(((1 / v5) * w) * z) * u)). K(x,K(y,(z * u) * L(R(w / v5,z,u),v5,1 / v5))) = K(x,K(y,(((1 / v5) * w) * z) * u)). K(x,K(y,L(z,K(u,w) / w,v5))) * K(K(z,y),x) = a(v5,K(u,w) / (K(y,z) * w),K(K(z,y),x)). K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). K(1 / x,T(y,z / (u \ w))) = K(1 / x,T(y,z / (1 / (w \ u)))). K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). x != K(y,T(z,u / (w \ v5))) | x = K(y,T(z,u / (v5 / w))). K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). x != K(y,T(z,u / (w / (v5 \ v6)))) | x = K(y,T(z,u / (w / (v6 / v5)))). K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,z / (1 / (w / u)))). K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). K(1 / x,T(y,(z / u) * w)) = K(1 / x,T(y,w / (u / z))). K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. x != K(1 / y,z) / y | x = T(1 / y,z). T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). T(T(1 / (1 / L(x,y,z)),T(u,(w / v5) * v6)),1 / x) = T(L(x,y,z),T(u,v6 / (v5 / T(w,v7)))). x != T(T(1 / (1 / L(y,z,u)),w),1 / y) | x = T(L(y,z,u),w). T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). (T(L(x,y,z),T(u,(w / v5) * v6)) \ 1) * L((x \ 1) \ 1,y,z) = K(T(u,v6 / (v5 / T(w,v7))),L(x,y,z)). K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = (T(L(v5,v6,v7),T(x,(u / z) * y)) \ 1) * L((v5 \ 1) \ 1,v6,v7). x != (T(L(y,z,u),w) \ 1) * L((y \ 1) \ 1,z,u) | x = K(w,L(y,z,u)). K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). x != K(y,T(z,u / (w / T(v5,v6)))) | x = K(y,T(z,u / (w / v5))). K(x,T(L(y,z,u),(w / v5) * v6)) = K(x,T(L(y,z,u),v6 / (v5 / w))). K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). x != K(y,T(L(z,u,T(y,w)),v5 / (v6 / T(v7,v8)))) | x = K(y,T(z,v5 / (v6 / v7))). K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). K(x,T(y,z / (u / w))) = K(x,T(y,(T(w,v5) / u) * z)). K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). K(x,T(y,(z / u) * w)) = K(x,T(y,w / (u / z))). K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). x != K(y,T(z,u / (w / v5))) | x = K(y,T(z,u / (v5 \ w))). K(x,T(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). K(x,T(y,z / (u \ w))) = K(x,y) * K(x,K(y,(u / w) * z)). K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). K(x,y) * z != K(x,T(y,u / (w \ v5))) | z = K(x,K(y,u / (v5 / w))). K(x,K(y,(z / u) * w)) = K(x,K(y,w / (u / z))). K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). x != K(y,K(z,u / ((w * v5) / w))) | x = K(y,K(z,u / v5)). K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). K(x,K(y,z * (u / w))) = K(x,K(y,z / (u \ w))). K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). K(x,K((y / z) * u,L(w,v5,v6))) = K(x,K(u / (y \ z),L(w,v5,v6))). K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). x != K(y,K(z / (u \ w),L(v5,w,u))) | x = K(y,K(v5,(z * u) / (u * (u \ w)))). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). K(x,K(y / z,L(u,w,v5))) = K(x,K(((v6 / z) / v6) * y,L(u,w,v5))). K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). x != K(y,K(z,(u * w) / v5)) | x = K(y,K(z,(w * u) / v5)). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(y * u) / z)) = v5. x != K(y,K(z * ((u / w) / u),L(v5,v6,v7))) | x = K(y,K(z / w,L(v5,v6,v7))). K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K((z / v5) / w,L(y,v5,z))). K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. x != K(y,K((z / u) / w,L(v5,u,z))) | x = K(y,K(v5,(z * (1 / w)) / u)). K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). K(x,K(y,(z * u) / w)) = K(x,K(y,(T(z,u) / (1 / u)) / w)). K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). x != K(y,K(z,(u / w) / v5)) | x = K(y,K(z,(w / u) * v5)). K(x,K(y,(z * u) / w)) = K(x,K(y,((1 / u) / T(z,u)) * w)). K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). x != K(y,K(z,u * ((w / v5) / v6))) | x = K(y,K(z,((v5 \ w) / v6) * u)). K(x,K(y,(z * u) / w)) = K(x,K(y,((u \ 1) / z) * w)). K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). x != K(y,K(z,u * ((w / (w / v5)) / v6))) | x = K(y,K(z,(v5 / v6) * u)). K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). x != K(y,K(z,(u * (1 / w)) / v5)) | x = K(y,K(z,(u * ((v6 / w) / v6)) / v5)). K(x,K(y,(z / u) * w)) = K(x,K(y,(u * ((v5 / z) / v5)) / w)). K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). x != K(y,K(z,(u * w) / (u * (w * v5)))) | x = K(y,K(z,L(v5,w,u))). K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). x != K(y,K(z,u / ((1 / w) * v5))) | x = K(y,K((u / v5) * w,L(z,u / v5,v5))). K(x,K(y,(z / u) * w)) = K(x,K((w / u) * z,L(y,w / u,u))). K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). K(x,K(y,z / (((u / (u / w)) / u) * v5))) = K(x,K(y,((u / (u / ((w / u) \ 1))) / v5) * z)). K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). x != K(y,K(z,L(u,w / v5,v5))) | x = K(y,K(z,L(u,w,v5))). K(x,K(y,(z / u) * w)) = K(x,K((w / u) * z,L(y,w,u))). K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). K(x,K(y,1 / (z * ((1 / u) * w)))) = K(x,K(y,(u / w) * (((1 / u) * w) / (((1 / u) * w) * z)))). K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). x != K(y,K(z,u / (((w / v5) / w) * v6))) | x = K(y,K(z,(v5 / v6) * u)). K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). x != K(y,K(z,((u / (u / (w \ 1))) / v5) * v6)) | x = K(y,K(z,(v5 * w) / v6)). K(x,K(y,((z / u) / w) * v5)) = K(x,K(y,(w * (u / z)) / v5)). K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). x != K(y,K(z,(u * (w / v5)) / v6)) | x = K(y,K(z,v6 / ((v5 \ w) * u))). K(x,K(y,((z / u) / w) * v5)) = K(x,K(y,v5 / ((z \ u) * w))). K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,((w / v5) / T(u,w \ v5)) * z)). K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). x != K(y,K(z,((u \ w) * (v5 * u)) / (v5 * w))) | x = a(z,u,K(y,K(v5,w / u))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). x != a(y,z,K(u,K(w,v5))) | x = a(y,v5 * z,K(u,K(w,v5))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). K(x,K(y,z * ((u / w) / v5))) = K(x,K(y,z / (v5 * (u \ w)))). K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). K(x,K(y,(z * u) * ((w / u) / z))) != v5 | K(x,K(w,L(y,u,z))) = v5. K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). x != K(y,K(z,1 / u)) | x = K(y,K(z,u)). K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). x != K(y,K(z,u * (w / (w * v5)))) | x = K(y,K(z,u / v5)). K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). x != K(y,K(z,((u * w) / u) * v5)) | x = K(y,K(z,w * v5)). K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). x != K(y,K(z,(u * w) * L(R(v5 / v6,u,w),v6,1 / v6))) | x = K(y,K(z,(((1 / v6) * v5) * u) * w)). K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,((v5 / w) * u) * T(z,v6))). K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). K(x,K(y,z * ((u / w) * v5))) = K(x,K(y,z * (v5 * ((1 / w) * u)))). K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). K(x,K(y,z * (u * w))) = K(x,K(y,z * (((w / (1 / v5)) / v5) * u))). K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). x != K(y,K(z,(u / w) * (w * ((1 / u) * v5)))) | x = K(y,K(z,L(v5,1 / u,w))). K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). x != K(y,K(z,u * (w * (1 / v5)))) | x = K(y,K(z,(w / v5) * u)). K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(y,((z / u) / w) * (u / (1 / w)))). K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). x != K(y,K(z,u * (T(w,v5) * v6))) | x = K(y,K(z,(w * v6) * u)). K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). x != K(y,K(z,u * (1 / w))) | x = K(y,K(z,u / w)). K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). x != K(y,K(z,((u / w) * v5) / v6)) | x = K(y,K(z,((w / u) / v5) * v6)). K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). K(x,K(y,a(z,1 / u,w))) = K(x,K(y,((u / w) / z) * ((z * (1 / u)) * w))). K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). x != K(y,K(z,u * (w / (1 / v5)))) | x = K(y,K(z,(v5 * w) * u)). K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(y,(w * u) * ((z / u) / w))). K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,1 / u,1 / w))). K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). x != K(y,K(z,L(u,w,1 / v5))) | x = K(y,K(z,L(u,w,v5))). K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,1 / u,w))). K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). x != K(y,K(z,a(u,w,v5))) | x = a(y,w,K(z,K(u,v5))). K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). K(x,K(R(y,K(z,u),w),L(v5,K(z,u) * w,v6))) = K(x,K(v5,(((K(z,u) * y) * w) * v6) / (v6 * (K(z,u) * w)))). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(R(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(L(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). x != K(y,K(L(z,u,w),v5)) | x = K(y,K(z,L(v5,u,w))). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(L(y,K(z,u) * v5,v6),K(z,u),v5))). x != K(y,K(z,L(u,K(w,v5),v6))) | x = K(y,K(z,u)). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(y,K(z,u) * v5,v6))). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). x != K(y,K(z,((u * w) * v5) / (v5 * w))) | x = K(y,K(z,L(u,w,v5))). K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(z,L(K(u,w) * y,v5,v6))). K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). x != K(y,K(z,L(K(u,w) * v5,v6,v7))) | x = K(y,K(v5,L(z,v6,v7))). K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). x != K(y,K(z,L(u,w,v5))) | x = a(u,w,K(v5,K(y,z))) * K(u,K(y,z)). L(K(x,K(y,z)),K(u,w) * v5,v6) = a(x,v5,K(v6,K(y,z))) * K(x,K(y,z)). x != K(y,K(z,L(u,1 / w,v5))) | x = K(y,K(u,L(z,w,v5))). K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). K(x,K(y,L(z,u,w))) * K(K(y,z),x) = a(w,K(v5,u) / (K(z,y) * u),K(K(y,z),x)). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(K(w,u),v5). a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). a(x,y,K(z,K(u,w))) = a(x,v5 * (y / v5),K(z,K(u,w))). a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). x != a(y,z * ((1 / u) / w),K(v5,K(v6,w * u))) | x = a(y,z,K((1 / u) / w,K(v5,v6))). a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). x != a(y,z,K(u,K(w,v5))) | x = a(w,z,K(u,K(v5,y))). a(x,y / z,K(u,K(w,y))) = a(w,1 / z,K(u,K(y,x))). a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(v5,K(w,u)). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(K(w,L(u,z,x)) * K(u,w),v5). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). x != K(a(y,z * u,K(u,w)),v5) | x = a(u,z,K(v5,K(w,y))). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). x != a(y,1 / z,K(u,K(w,v5))) | x = K(y,K(u,((z / v5) / w) * ((w * (1 / z)) * v5))). a(x,y,K(z,K(u,w))) = K(w,K(z,((y / x) / u) * ((u * (1 / y)) * x))). K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). x != a(y,1 / z,K(u,K(w,v5))) | x = a(v5,w / z,K(u,K(w,y))). a(x,y,K(z,K(u,w))) = a(x,u / y,K(z,K(u,w))). a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). x != a(y,z,K(u,K(w,v5))) | x = a(w,z,K(u,K(y,v5))). a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * (1 / (1 / w))) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,((z / u) / (w * K(1 / z,w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,(((z / u) / w) * K(w,1 / z)) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). x != K(y,K(z,u * (((1 / w) * v5) * v6))) | x = K(y,K(z,u * ((v5 / w) * v6))). a(x,y,K(z,K(u,1 / (K(w,1 / y) / w)))) = K(z,K(u,(((y / x) / w) * K(w,1 / y)) * ((w / y) * x))). K(x,K(y,(((z / u) / w) * K(w,1 / z)) * ((w / z) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). x != K(y,K(z,((u / w) * v5) * ((w / v5) / u))) | x = a(y,w,K(z,K(u / w,v5 / w))). a(x,y,K(z,K(u,w))) = a(z,y,K(u,K(w / y,x / y))). a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). x != a(y,z \ u,K(z,K(w,v5))) | x = a(y,u,K(z,K(w,v5))). a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). x != a(y,z \ u,K(w,K(v5,v6))) | x = a(y,u / z,K(w,K(v5,v6))). a(x,y,K(z,K(u,w / y))) = a(w,y / z,K(x,K(y,u))). a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). x != a(y,z / u,K(w,K(z,v5))) | x = a(z,u,K(w,K(y,v5))). a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). x != K(y,K(z,((u / w) / (v5 * u)) * (v5 * w))) | x = a(z,w,K(y,K(v5,w / u))). a(x,y,K(z,K(u,w))) = a(y,w,K(z,K(u,w / x))). a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). x != a(y,z,K(u,K(w,v5 / z))) | x = a(z,u,K(v5,K(y,w))). a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). K(x,K(y,L(z,u,w))) = L(K(x,K(z,y)),w,u). L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). x != K(y,K((z / u) * w,L(v5,z,u))) | x = K(y,K(v5,(w / u) * z)). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). K(x,K(y,z \ ((z / (u * w)) * (u * (w * v5))))) = K(x,K(y,L(L(v5,w,u),z / (u * w),u * w))). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,v5 \ ((v5 / (w * u)) * (w * (u * z))))). K(x,K(y,1 / L(z,u,w))) = K(x,K(y,L(L(1 / z,z,u),w,u * z))). K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) * (w * (u * z))) / v5)). x != K(y,K(z,(u * w) / v5)) | x = K(y,K(z,(u / v5) * w)). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) / v5) * (w * (u * z)))). x != K(y,K(z,((u / w) / u) * v5)) | x = K(y,K(z,v5 / w)). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,T(L(z,u,w),w * u))). x != K(y,K(z,T(u,w))) | x = K(y,K(z,u)). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,L(L(z,u,w),v5,w * u))). K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,L(1 / z,z,u))). K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). K(x,K(y,1 / z)) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). x != K(y,K(z,1 / u)) | x = K(u,K(y,z)). K(x,K(y,L(z,u,w))) = K(z,K(x,y)). K(x,K(y,L(z,u,w))) = K(x,K(y,z)). (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). L(x,y,K(z,K(u,w))) = x. (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,K(y,K(z,u)) * w,x). K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). K(x,K(y,z)) \ (u * w) = u * (K(x,K(y,z)) * w). (K(x,K(y,z)) \ (u * w)) \ (u * (K(x,K(y,z)) * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). (K(x,K(y,z)) \ (u * w)) \ (K(x,K(y,z)) \ (u * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). x != (K(y,z) \ (u * w)) \ (K(y,z) \ (u * (w * v5))) | x = L(L(v5,w,u),u * w,K(z,y)). L(x,K(y,K(z,u)) * w,v5) = L(L(x,w,v5),v5 * w,K(K(z,u),y)). L(L(x,y,z),z * y,K(K(u,w),v5)) = L(x,K(v5,K(u,w)) * y,z). L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,K(v5,K(u,w)) * y,z). x != L(y,z,K(u,K(w,v5))) | x = y. L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). x != L(y,K(z,T(u,y)),w) | x = R(y,K(z,u),w). L(x,K(y,z),u) = R(x,K(y,z),u). end_of_list. ============================== end of input ========================== ============================== PROCESS NON-CLAUSAL FORMULAS ========== % Formulas that are not ordinary clauses: 1 x * y = u & x * z = u -> y = z # label(non_clause). [assumption]. 2 y * x = u & z * x = u -> y = z # label(non_clause). [assumption]. 3 x * y = x * z -> y = z # label(non_clause). [assumption]. 4 y * x = z * x -> y = z # label(non_clause). [assumption]. 5 a(x,y,z) = 1 -> L(z,y,x) = z # label(non_clause). [assumption]. 6 L(x,y,z) = x -> a(z,y,x) = 1 # label(non_clause). [assumption]. 7 T(x,y) = x -> T(y,x) = y # label(non_clause). [assumption]. 8 T(x,y) = x -> K(x,y) = 1 # label(non_clause). [assumption]. 9 K(x,y) = 1 -> T(x,y) = x # label(non_clause). [assumption]. 10 K(x,R(y,z,u)) = K(x,L(y,z,u)) # label("KRKL") # label(non_clause) # label(goal). [goal]. 11 T(x,R(y,z,u)) = T(x,L(y,z,u)) # label("TRTL") # label(non_clause) # label(goal). [goal]. 12 R(K(x,y),z,u) = L(K(x,y),z,u) # label("RKLK 1") # label(non_clause) # label(goal). [goal]. 13 R(x,K(y,z),u) = L(x,K(y,z),u) # label("RKLK 2") # label(non_clause) # label(goal). [goal]. 14 R(x,y,K(z,u)) = L(x,y,K(z,u)) # label("RKLK 3") # label(non_clause) # label(goal). [goal]. 15 L(K(x,y),z,u) = K(x,L(y,z,u)) # label("LKKL") # label(non_clause) # label(goal). [goal]. ============================== end of process non-clausal formulas === ============================== PROCESS INITIAL CLAUSES =============== % Clauses before input processing: formulas(usable). end_of_list. formulas(sos). 1 * x = x. [assumption]. x * 1 = x. [assumption]. x \ (x * y) = y. [assumption]. x * (x \ y) = y. [assumption]. (x * y) / y = x. [assumption]. (x / y) * y = x. [assumption]. x * y != z | x * u != z | u = y. [clausify(1)]. x * y != z | u * y != z | u = x. [clausify(2)]. x * y != x * z | y = z. [clausify(3)]. x * y != z * y | x = z. [clausify(4)]. x != y | z * x = z * y. [assumption]. x != y | x * z = y * z. [assumption]. (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. x \ (y * x) = T(y,x). [assumption]. a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. T(x,y) != x | T(y,x) = y. [clausify(7)]. T(x,y) != x | K(x,y) = 1. [clausify(8)]. K(x,y) != 1 | T(x,y) = x. [clausify(9)]. T(T(x,y),z) = T(T(x,z),y) # label("AIM-TT condition"). [assumption]. T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. K(c1,R(c2,c3,c4)) != K(c1,L(c2,c3,c4)) # label("KRKL"). [deny(10)]. T(c5,R(c6,c7,c8)) != T(c5,L(c6,c7,c8)) # label("TRTL"). [deny(11)]. R(K(c9,c10),c11,c12) != L(K(c9,c10),c11,c12) # label("RKLK 1"). [deny(12)]. R(c13,K(c14,c15),c16) != L(c13,K(c14,c15),c16) # label("RKLK 2"). [deny(13)]. R(c17,c18,K(c19,c20)) != L(c17,c18,K(c19,c20)) # label("RKLK 3"). [deny(14)]. L(K(c21,c22),c23,c24) != K(c21,L(c22,c23,c24)) # label("LKKL"). [deny(15)]. end_of_list. formulas(demodulators). end_of_list. % 18604 hints input. ============================== PREDICATE ELIMINATION ================= No predicates eliminated. ============================== end predicate elimination ============= Auto_denials: % copying label "KRKL" to answer in negative clause % copying label "TRTL" to answer in negative clause % copying label "RKLK 1" to answer in negative clause % copying label "RKLK 2" to answer in negative clause % copying label "RKLK 3" to answer in negative clause % copying label "LKKL" to answer in negative clause % assign(max_proofs, 6). % (Horn set with more than one neg. clause) Term ordering decisions: Function symbol KB weights: 1=1. c21=1. c22=1. c23=1. c24=1. c5=1. c6=1. c7=1. c8=1. c1=1. c2=1. c3=1. c4=1. c9=1. c10=1. c11=1. c12=1. c17=1. c18=1. c19=1. c20=1. c13=1. c14=1. c15=1. c16=1. *=1. T=1. \=1. /=1. K=1. L=1. R=1. a=1. Predicate symbol precedence: predicate_order([ = ]). Function symbol precedence: function_order([ 1, c21, c22, c23, c24, c5, c6, c7, c8, c1, c2, c3, c4, c9, c10, c11, c12, c17, c18, c19, c20, c13, c14, c15, c16, *, T, \, /, K, L, R, a ]). Skipping inverse_order, because term ordering is KBO. Unfolding symbols: K/2 T/2 L/3 R/3 a/3. Auto_inference settings: % set(paramodulation). % (positive equality literals) % set(hyper_resolution). % (nonunit Horn with equality) % set(hyper_resolution) -> set(pos_hyper_resolution). % set(neg_ur_resolution). % (nonunit Horn with equality) % assign(para_lit_limit, 3). % (nonunit Horn with equality) Auto_process settings: (no changes). kept: 16 1 * x = x. [assumption]. kept: 17 x * 1 = x. [assumption]. kept: 18 x \ (x * y) = y. [assumption]. kept: 19 x * (x \ y) = y. [assumption]. kept: 20 (x * y) / y = x. [assumption]. kept: 21 (x / y) * y = x. [assumption]. kept: 22 x * y != z | x * u != z | u = y. [clausify(1)]. kept: 23 x * y != z | u * y != z | u = x. [clausify(2)]. kept: 24 x * y != x * z | y = z. [clausify(3)]. kept: 25 x * y != z * y | x = z. [clausify(4)]. kept: 26 x != y | z * x = z * y. [assumption]. kept: 27 x != y | x * z = y * z. [assumption]. 28 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. kept: 29 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(28),flip(a)]. 30 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. kept: 31 K(x,y) = (y * x) \ (x * y). [copy(30),flip(a)]. 32 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. kept: 33 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(32),flip(a)]. 34 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. kept: 35 R(x,y,z) = ((x * y) * z) / (y * z). [copy(34),flip(a)]. 36 x \ (y * x) = T(y,x). [assumption]. kept: 37 T(x,y) = y \ (x * y). [copy(36),flip(a)]. kept: 38 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. kept: 39 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. kept: 40 T(x,y) != x | T(y,x) = y. [clausify(7)]. kept: 41 T(x,y) != x | K(x,y) = 1. [clausify(8)]. kept: 42 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. kept: 43 T(T(x,y),z) = T(T(x,z),y) # label("AIM-TT condition"). [assumption]. 44 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. kept: 45 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(44),flip(a)]. 46 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. kept: 47 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(46),flip(a)]. 48 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. kept: 49 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(48),flip(a)]. kept: 50 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. kept: 51 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. kept: 52 K(c1,R(c2,c3,c4)) != K(c1,L(c2,c3,c4)) # label("KRKL") # answer("KRKL"). [deny(10)]. kept: 53 T(c5,R(c6,c7,c8)) != T(c5,L(c6,c7,c8)) # label("TRTL") # answer("TRTL"). [deny(11)]. kept: 54 R(K(c9,c10),c11,c12) != L(K(c9,c10),c11,c12) # label("RKLK 1") # answer("RKLK 1"). [deny(12)]. kept: 55 R(c13,K(c14,c15),c16) != L(c13,K(c14,c15),c16) # label("RKLK 2") # answer("RKLK 2"). [deny(13)]. kept: 56 R(c17,c18,K(c19,c20)) != L(c17,c18,K(c19,c20)) # label("RKLK 3") # answer("RKLK 3"). [deny(14)]. kept: 57 L(K(c21,c22),c23,c24) != K(c21,L(c22,c23,c24)) # label("LKKL") # answer("LKKL"). [deny(15)]. ============================== end of process initial clauses ======== ============================== CLAUSES FOR SEARCH ==================== % Clauses after input processing: formulas(usable). 52 K(c1,R(c2,c3,c4)) != K(c1,L(c2,c3,c4)) # label("KRKL") # answer("KRKL"). [deny(10)]. 53 T(c5,R(c6,c7,c8)) != T(c5,L(c6,c7,c8)) # label("TRTL") # answer("TRTL"). [deny(11)]. 54 R(K(c9,c10),c11,c12) != L(K(c9,c10),c11,c12) # label("RKLK 1") # answer("RKLK 1"). [deny(12)]. 55 R(c13,K(c14,c15),c16) != L(c13,K(c14,c15),c16) # label("RKLK 2") # answer("RKLK 2"). [deny(13)]. 56 R(c17,c18,K(c19,c20)) != L(c17,c18,K(c19,c20)) # label("RKLK 3") # answer("RKLK 3"). [deny(14)]. 57 L(K(c21,c22),c23,c24) != K(c21,L(c22,c23,c24)) # label("LKKL") # answer("LKKL"). [deny(15)]. end_of_list. formulas(sos). 16 1 * x = x. [assumption]. 17 x * 1 = x. [assumption]. 18 x \ (x * y) = y. [assumption]. 19 x * (x \ y) = y. [assumption]. 20 (x * y) / y = x. [assumption]. 21 (x / y) * y = x. [assumption]. 22 x * y != z | x * u != z | u = y. [clausify(1)]. 23 x * y != z | u * y != z | u = x. [clausify(2)]. 24 x * y != x * z | y = z. [clausify(3)]. 25 x * y != z * y | x = z. [clausify(4)]. 26 x != y | z * x = z * y. [assumption]. 27 x != y | x * z = y * z. [assumption]. 29 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(28),flip(a)]. 31 K(x,y) = (y * x) \ (x * y). [copy(30),flip(a)]. 33 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(32),flip(a)]. 35 R(x,y,z) = ((x * y) * z) / (y * z). [copy(34),flip(a)]. 37 T(x,y) = y \ (x * y). [copy(36),flip(a)]. 38 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 39 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 40 T(x,y) != x | T(y,x) = y. [clausify(7)]. 41 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 42 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 43 T(T(x,y),z) = T(T(x,z),y) # label("AIM-TT condition"). [assumption]. 45 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(44),flip(a)]. 47 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(46),flip(a)]. 49 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(48),flip(a)]. 50 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 51 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. end_of_list. formulas(demodulators). end_of_list. % 14313 hints (18604 processed, 4291 redundant). ============================== end of clauses for search ============= ============================== SEARCH ================================ % Starting search at 0.33 seconds. given #1 (I,wt=5): 16 1 * x = x. [assumption]. given #2 (I,wt=5): 17 x * 1 = x. [assumption]. given #3 (I,wt=7): 18 x \ (x * y) = y. [assumption]. given #4 (I,wt=7): 19 x * (x \ y) = y. [assumption]. given #5 (I,wt=7): 20 (x * y) / y = x. [assumption]. given #6 (I,wt=7): 21 (x / y) * y = x. [assumption]. given #7 (I,wt=13): 22 x * y != z | x * u != z | u = y. [clausify(1)]. given #8 (I,wt=13): 23 x * y != z | u * y != z | u = x. [clausify(2)]. given #9 (I,wt=10): 24 x * y != x * z | y = z. [clausify(3)]. given #10 (I,wt=10): 25 x * y != z * y | x = z. [clausify(4)]. given #11 (I,wt=10): 26 x != y | z * x = z * y. [assumption]. given #12 (I,wt=10): 27 x != y | x * z = y * z. [assumption]. given #13 (I,wt=16): 29 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(28),flip(a)]. given #14 (I,wt=11): 31 K(x,y) = (y * x) \ (x * y). [copy(30),flip(a)]. given #15 (I,wt=14): 33 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(32),flip(a)]. given #16 (I,wt=14): 35 R(x,y,z) = ((x * y) * z) / (y * z). [copy(34),flip(a)]. given #17 (I,wt=9): 37 T(x,y) = y \ (x * y). [copy(36),flip(a)]. given #18 (I,wt=12): 38 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. given #19 (I,wt=12): 39 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. given #20 (I,wt=10): 40 T(x,y) != x | T(y,x) = y. [clausify(7)]. given #21 (I,wt=10): 41 T(x,y) != x | K(x,y) = 1. [clausify(8)]. given #22 (I,wt=10): 42 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. given #23 (I,wt=11): 43 T(T(x,y),z) = T(T(x,z),y) # label("AIM-TT condition"). [assumption]. given #24 (I,wt=13): 45 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(44),flip(a)]. given #25 (I,wt=13): 47 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(46),flip(a)]. given #26 (I,wt=15): 49 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(48),flip(a)]. given #27 (I,wt=15): 50 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. given #28 (I,wt=15): 51 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. given #29 (H,wt=5): 59 1 \ x = x. [para(16(a,1),18(a,1,2))]. given #30 (H,wt=5): 60 x \ x = 1. [para(17(a,1),18(a,1,2))]. given #31 (H,wt=5): 67 x / x = 1. [para(16(a,1),20(a,1,1))]. given #32 (H,wt=5): 68 x / 1 = x. [para(17(a,1),20(a,1,1))]. given #33 (H,wt=5): 126 T(x,x) = x. [para(37(a,2),18(a,1))]. given #34 (H,wt=7): 58 x * (1 * 1) = x. [para(16(a,2),17(a,1,2))]. given #35 (H,wt=7): 70 x / (y \ x) = y. [para(19(a,1),20(a,1,1))]. given #36 (H,wt=7): 73 (x / y) \ x = y. [para(21(a,1),18(a,1,2))]. given #37 (H,wt=7): 125 T(1,x) = x \ x. [para(16(a,1),37(a,2,2))]. given #38 (H,wt=5): 151 T(1,x) = 1. [para(125(a,2),60(a,1))]. => 154 back subsumes hint matchers not on Sos. Reset weight to 507.000. given #39 (H,wt=5): 152 K(1,x) = 1. [hyper(41,a,151,a)]. given #40 (H,wt=5): 153 T(x,1) = x. [hyper(40,a,151,a)]. given #41 (H,wt=5): 155 K(x,1) = 1. [hyper(41,a,153,a)]. given #42 (H,wt=7): 139 x \ x = 1 * 1. [hyper(22,a,19,a,b,58,a),flip(a)]. given #43 (H,wt=7): 156 T(x,y \ y) = x. [para(60(a,2),153(a,1,2))]. given #44 (H,wt=8): 82 1 * x != y | y = x. [para(16(a,1),24(a,1)),flip(a)]. given #45 (H,wt=8): 83 1 * x != y | x = y. [para(16(a,1),24(a,2))]. given #46 (H,wt=8): 84 x * y != x | 1 = y. [para(17(a,1),24(a,1)),flip(a)]. given #47 (H,wt=8): 91 x * 1 != y | y = x. [para(17(a,1),25(a,1)),flip(a)]. given #48 (H,wt=8): 92 x * 1 != y | x = y. [para(17(a,1),25(a,2))]. given #49 (H,wt=8): 157 x \ x != y | 1 = y. [para(139(a,2),82(a,1)),flip(b)]. given #50 (H,wt=9): 62 (x * (x \ 1)) * y = y. [para(19(a,2),16(a,1,1))]. given #51 (H,wt=9): 63 x * (x \ (1 * y)) = y. [para(19(a,2),16(a,1))]. given #52 (H,wt=9): 64 x * (y * (y \ 1)) = x. [para(19(a,2),17(a,1,2))]. given #53 (H,wt=9): 71 ((1 / x) * x) * y = y. [para(21(a,2),16(a,1,1))]. given #54 (H,wt=9): 72 x * ((1 / y) * y) = x. [para(21(a,2),17(a,1,2))]. given #55 (H,wt=9): 127 x * T(y,x) = y * x. [para(37(a,2),19(a,1,2))]. given #56 (H,wt=9): 129 T(x / y,y) = y \ x. [para(21(a,1),37(a,2,2))]. given #57 (H,wt=9): 131 x \ (1 \ (x * y)) = y. [hyper(22,a,19,a,b,59,a(flip)),flip(a)]. given #58 (H,wt=9): 132 (x * (x \ 1)) \ y = y. [para(19(a,2),59(a,1,1))]. given #59 (H,wt=9): 133 ((1 / x) * x) \ y = y. [para(21(a,2),59(a,1,1))]. given #60 (H,wt=9): 135 x / (y * (y \ 1)) = x. [para(19(a,2),68(a,1,2))]. given #61 (H,wt=9): 136 x / ((1 / y) * y) = x. [para(21(a,2),68(a,1,2))]. given #62 (H,wt=9): 137 T(T(x,y),x) = T(x,y). [para(126(a,1),43(a,1,1)),flip(a)]. given #63 (H,wt=7): 195 K(T(x,y),x) = 1. [hyper(41,a,137,a)]. given #64 (H,wt=7): 196 T(x,T(x,y)) = x. [hyper(40,a,137,a)]. given #65 (H,wt=9): 144 (x * y) / T(x,y) = y. [para(37(a,2),70(a,1,2))]. given #66 (H,wt=9): 147 (x / (1 * y)) \ x = y. [hyper(22,a,16,a,b,73,a(flip)),flip(a)]. given #67 (H,wt=9): 166 T((x * y) / x,x) = y. [hyper(22,a,21,a(flip),b,127,a)]. given #68 (H,wt=9): 167 (x * T(y,x)) / x = y. [hyper(23,a,21,a,b,127,a(flip)),flip(a)]. given #69 (H,wt=9): 168 x \ (y * T(x,y)) = y. [hyper(22,a,19,a,b,127,a(flip)),flip(a)]. given #70 (H,wt=9): 171 x * T(y / x,x) = y. [para(127(a,2),21(a,1))]. given #71 (H,wt=9): 201 (x / (1 * y)) * y = x. [para(147(a,1),19(a,1,2))]. given #72 (H,wt=9): 203 K(x,(y * x) / y) = 1. [para(166(a,1),195(a,1,1))]. given #73 (H,wt=9): 207 T(x,(y * x) / y) = x. [hyper(42,a,203,a)]. given #74 (H,wt=10): 87 x * y != z | x \ z = y. [para(19(a,1),24(a,1)),flip(a)]. given #75 (H,wt=10): 89 (x / y) * z != x | z = y. [para(21(a,1),24(a,2))]. given #76 (H,wt=10): 94 x * (y \ z) != z | x = y. [para(19(a,1),25(a,2))]. given #77 (H,wt=10): 96 x * y != z | z / y = x. [para(21(a,1),25(a,1)),flip(a)]. given #78 (H,wt=8): 211 x != y | y / 1 = x. [para(17(a,1),96(a,1))]. given #79 (H,wt=7): 214 x / 1 = 1 * x. [hyper(211,a,16,a)]. given #80 (H,wt=8): 215 x / 1 != y | y = x. [para(214(a,2),82(a,1))]. given #81 (H,wt=8): 216 x / 1 != y | x = y. [para(214(a,2),83(a,1))]. given #82 (H,wt=9): 212 (x / y) \ x = y / 1. [hyper(211,a,73,a),flip(a)]. given #83 (H,wt=9): 213 x * (x \ y) = y / 1. [hyper(211,a,19,a),flip(a)]. given #84 (H,wt=10): 219 (x / y) \ x != z | z = y. [para(212(a,2),215(a,1))]. given #85 (H,wt=10): 220 x * (x \ y) != z | z = y. [para(213(a,2),215(a,1))]. given #86 (H,wt=10): 222 x \ (x * y) != z | z = y. [para(20(a,1),219(a,1,1))]. given #87 (H,wt=10): 226 (x / y) * y != z | z = x. [para(73(a,1),220(a,1,2))]. given #88 (H,wt=11): 61 x \ (x * (y \ (y * z))) = z. [para(18(a,2),18(a,1))]. given #89 (H,wt=11): 65 x \ (y * (y \ (x * z))) = z. [para(19(a,2),18(a,1,2))]. given #90 (H,wt=9): 231 x \ (y * (y \ x)) = 1. [para(17(a,1),65(a,1,2,2,2))]. given #91 (H,wt=9): 234 x * (x \ y) = y * 1. [para(231(a,1),19(a,1,2)),flip(a)]. given #92 (H,wt=9): 237 (x / y) * y = x * 1. [para(73(a,1),234(a,1,2))]. given #93 (H,wt=11): 66 x * (y * (y \ (x \ z))) = z. [para(19(a,2),19(a,1,2))]. given #94 (H,wt=11): 69 x * (((x \ y) * z) / z) = y. [para(20(a,2),19(a,1,2))]. given #95 (H,wt=11): 74 x \ (((x * y) / z) * z) = y. [para(21(a,2),18(a,1,2))]. given #96 (H,wt=9): 243 ((1 * x) / y) \ x = y. [para(74(a,1),131(a,1,2))]. given #97 (H,wt=7): 244 1 \ x = 1 * x. [para(67(a,1),243(a,1,1))]. given #98 (H,wt=8): 245 1 \ x != y | x = y. [para(244(a,2),83(a,1))]. given #99 (H,wt=11): 75 (x \ (x * (y / z))) * z = y. [para(18(a,2),21(a,1,1))]. given #100 (H,wt=11): 76 ((x * (x \ y)) / z) * z = y. [para(21(a,2),19(a,1))]. given #101 (H,wt=9): 247 (x / y) * y = 1 * x. [para(63(a,1),76(a,1,1,1))]. given #102 (H,wt=11): 77 (((x * y) / z) * z) / y = x. [para(21(a,2),20(a,1,1))]. given #103 (H,wt=11): 78 (((x / y) / z) * z) * y = x. [para(21(a,2),21(a,1,1))]. given #104 (H,wt=11): 79 x != y | 1 * z != y | z = x. [para(16(a,1),22(a,1))]. given #105 (H,wt=9): 255 x != y | z != y | z = x. [para(16(a,1),79(b,1))]. given #106 (H,wt=11): 97 x * (y * (y \ z)) = x * z. [hyper(26,a,19,a)]. given #107 (H,wt=11): 98 ((x / y) * y) * z = x * z. [hyper(27,a,21,a)]. given #108 (H,wt=11): 99 (x * (x \ y)) * z = y * z. [hyper(27,a,19,a)]. given #109 (H,wt=11): 104 (x * y) * K(y,x) = y * x. [para(31(a,2),19(a,1,2))]. given #110 (H,wt=11): 128 T(x,x \ y) = (x \ y) \ y. [para(19(a,1),37(a,2,2))]. given #111 (H,wt=11): 138 T(L(x,y,z),x) = L(x,y,z). [para(126(a,1),45(a,1,1)),flip(a)]. given #112 (H,wt=8): 279 T(x,L(x,y,z)) = x. [hyper(40,a,138,a)]. given #113 (H,wt=8): 280 K(x,L(x,y,z)) = 1. [hyper(41,a,279,a)]. given #114 (H,wt=11): 140 (x / (y \ x)) * z = y * z. [hyper(27,a,70,a)]. given #115 (H,wt=11): 142 (x * y) / K(x,y) = y * x. [para(31(a,2),70(a,1,2))]. given #116 (H,wt=11): 145 x / (y / ((z \ x) \ y)) = z. [para(70(a,2),70(a,1,2))]. given #117 (H,wt=11): 146 ((x / y) \ x) * z = y * z. [hyper(27,a,73,a)]. given #118 (H,wt=11): 148 x * ((y / (x \ z)) \ y) = z. [para(73(a,2),19(a,1,2))]. given #119 (H,wt=11): 150 ((x / (y / z)) \ x) \ y = z. [para(73(a,2),73(a,1,1))]. given #120 (H,wt=11): 169 (x \ y) * T(x,x \ y) = y. [para(127(a,2),19(a,1))]. given #121 (H,wt=11): 188 T(x / (x / y),x / y) = y. [para(129(a,2),73(a,1))]. given #122 (H,wt=11): 189 K(x \ 1,x) = (x \ 1) * x. [para(132(a,1),31(a,2))]. given #123 (H,wt=11): 191 K(x,1 / x) = x * (1 / x). [para(133(a,1),31(a,2))]. given #124 (H,wt=11): 198 T(x,y) * x = x * T(x,y). [para(137(a,1),127(a,1,2)),flip(a)]. given #125 (H,wt=11): 199 x / T(y,y \ x) = y \ x. [para(19(a,1),144(a,1,1))]. given #126 (H,wt=11): 221 (x / y) \ x = z * (z \ y). [para(213(a,2),212(a,2))]. given #127 (H,wt=11): 232 (x / y) \ (z * (z \ x)) = y. [para(21(a,1),65(a,1,2,2,2))]. given #128 (H,wt=11): 240 (x / y) * y = z * (z \ x). [para(237(a,2),234(a,2)),flip(a)]. given #129 (H,wt=11): 246 ((x * (x \ y)) / z) \ y = z. [hyper(87,a,76,a)]. given #130 (H,wt=11): 249 (x / ((y / z) * z)) * y = x. [para(247(a,2),201(a,1,1,2))]. given #131 (H,wt=11): 250 (((x / y) * y) / z) \ x = z. [para(247(a,2),243(a,1,1,1))]. given #132 (H,wt=11): 251 ((x / y) * y) / z = x / z. [para(21(a,1),77(a,1,1,1,1))]. given #133 (H,wt=11): 254 ((x / y) * y) * (x \ z) = z. [para(70(a,1),78(a,1,1,1,1))]. given #134 (H,wt=11): 256 (x * y) / y = z / (x \ z). [hyper(255,a,70,a,b,20,a)]. given #135 (H,wt=11): 257 x / (y \ x) = z * (z \ y). [hyper(255,a,70,a,b,19,a),flip(a)]. given #136 (H,wt=10): 303 x / (y \ x) != z | z = y. [para(257(a,2),220(a,1))]. given #137 (H,wt=8): 306 x / x != y | 1 = y. [para(59(a,1),303(a,1,2)),flip(b)]. given #138 (H,wt=10): 304 (x * y) / y != z | z = x. [para(18(a,1),303(a,1,2))]. given #139 (H,wt=11): 258 (x * y) / y = (x / z) * z. [hyper(255,a,21,a,b,20,a)]. given #140 (H,wt=11): 259 x \ (x * y) = z * (z \ y). [hyper(255,a,19,a,b,18,a)]. given #141 (H,wt=11): 260 (x / (y * (y \ z))) * z = x. [hyper(226,a,97,a)]. given #142 (H,wt=11): 282 ((x / y) \ x) * (y \ z) = z. [hyper(255,a,19,a(flip),b,146,a)]. given #143 (H,wt=11): 283 x * (((y / x) \ y) \ z) = z. [hyper(220,a,146,a)]. given #144 (H,wt=11): 285 (x / y) * ((z / y) \ z) = x. [para(73(a,1),148(a,1,2,1,2))]. given #145 (H,wt=11): 290 (x \ 1) \ K(x \ 1,x) = x. [hyper(87,a,189,a(flip))]. given #146 (H,wt=11): 298 x / (y \ ((x / z) * z)) = y. [hyper(23,a,148,a,b,240,a(flip))]. given #147 (H,wt=12): 85 (x * y) * 1 != x * z | z = y. [para(17(a,2),24(a,2)),flip(a)]. given #148 (H,wt=10): 317 x * y != x * z | z = y. [para(17(a,1),85(a,1))]. given #149 (H,wt=12): 109 x \ (1 * (x * y)) = L(y,x,1). [para(16(a,1),33(a,2,1)),flip(a)]. given #150 (H,wt=10): 318 x \ (x * y) = L(y,x,1). [para(16(a,1),109(a,1,2))]. given #151 (H,wt=6): 319 L(x,y,1) = x. [hyper(222,a,318,a)]. given #152 (H,wt=12): 110 (x * 1) \ (x * y) = L(y,1,x). [para(16(a,1),33(a,2,2,2)),flip(a)]. given #153 (H,wt=10): 321 x \ (x * y) = L(y,1,x). [para(17(a,1),110(a,1,1))]. given #154 (H,wt=6): 322 L(x,1,y) = x. [hyper(222,a,321,a)]. given #155 (H,wt=9): 323 L(x,1,y) != z | z = x. [para(321(a,1),222(a,1))]. given #156 (H,wt=12): 111 (x * y) \ (x * y) = L(1,y,x). [para(17(a,1),33(a,2,2,2)),flip(a)]. given #157 (H,wt=6): 325 L(1,x,y) = 1. [hyper(157,a,111,a),flip(a)]. given #158 (H,wt=9): 326 L(1,x,y) != z | 1 = z. [para(111(a,1),157(a,1))]. given #159 (H,wt=12): 117 (x * y) / (x * y) = R(1,x,y). [para(16(a,1),35(a,2,1,1)),flip(a)]. given #160 (H,wt=6): 328 R(1,x,y) = 1. [hyper(306,a,117,a),flip(a)]. given #161 (H,wt=9): 329 R(1,x,y) != z | 1 = z. [para(117(a,1),306(a,1))]. given #162 (H,wt=12): 118 ((x * 1) * y) / y = R(x,1,y). [para(16(a,1),35(a,2,2)),flip(a)]. given #163 (H,wt=10): 331 (x * y) / y = R(x,1,y). [para(17(a,1),118(a,1,1,1))]. given #164 (H,wt=6): 332 R(x,1,y) = x. [hyper(304,a,331,a)]. given #165 (H,wt=9): 333 R(x,1,y) != z | z = x. [para(331(a,1),304(a,1))]. given #166 (H,wt=12): 119 (x * y) / (y * 1) = R(x,y,1). [para(17(a,1),35(a,2,1)),flip(a)]. given #167 (H,wt=10): 335 (x * y) / y = R(x,y,1). [para(17(a,1),119(a,1,2))]. given #168 (H,wt=6): 336 R(x,y,1) = x. [hyper(304,a,335,a)]. given #169 (H,wt=12): 158 ((1 / x) * x) * y != z | y = z. [para(21(a,2),83(a,1,1))]. given #170 (H,wt=12): 159 x * (y * (y \ 1)) != z | z = x. [para(19(a,2),91(a,1,2))]. given #171 (H,wt=12): 162 L(x \ 1,x,y) = (y * x) \ y. [para(64(a,1),33(a,2,2))]. given #172 (H,wt=12): 163 R(1 / x,x,y) = y / (x * y). [para(71(a,1),35(a,2,1))]. given #173 (H,wt=12): 173 x * y != z * x | T(z,x) = y. [para(127(a,1),24(a,1)),flip(a)]. given #174 (H,wt=12): 174 x * T(y,x) != z * x | z = y. [para(127(a,2),25(a,2)),flip(a)]. given #175 (H,wt=12): 217 x / (y * (y \ 1)) != z | z = x. [para(19(a,2),215(a,1,2))]. given #176 (H,wt=12): 218 x / ((1 / y) * y) != z | z = x. [para(21(a,2),215(a,1,2))]. given #177 (H,wt=12): 223 x \ (y * x) != z | T(y,x) = z. [para(144(a,1),219(a,1,1)),flip(b)]. given #178 (H,wt=12): 225 x * T(y,x) != z | y * x = z. [para(37(a,2),220(a,1,2)),flip(b)]. given #179 (H,wt=12): 227 (x * (x \ 1)) \ y != z | z = y. [para(62(a,1),220(a,1))]. given #180 (H,wt=12): 228 ((1 / x) * x) \ y != z | z = y. [para(71(a,1),220(a,1))]. given #181 (H,wt=12): 229 x * y != z | y * T(x,y) = z. [para(168(a,1),220(a,1,2)),flip(b)]. given #182 (H,wt=12): 235 x * 1 != y * z | y \ x = z. [para(234(a,1),24(a,1))]. given #183 (H,wt=12): 236 x * (x \ y) != y * z | 1 = z. [para(234(a,2),24(a,1))]. given #184 (H,wt=12): 238 x \ (y * (y \ x)) != z | 1 = z. [para(234(a,2),222(a,1,2)),flip(b)]. given #185 (H,wt=12): 239 x * 1 != y * z | x / z = y. [para(237(a,1),25(a,1))]. given #186 (H,wt=12): 248 1 * x != y * z | x / z = y. [para(247(a,1),25(a,1))]. given #187 (H,wt=12): 305 (x * y) / T(x,y) != z | z = y. [para(37(a,2),303(a,1,2))]. given #188 (H,wt=12): 339 L(x \ 1,x,1 / x) = 1 / x. [hyper(255,a,133,a(flip),b,162,a)]. given #189 (H,wt=12): 341 (x * y) * L(y \ 1,y,x) = x. [para(162(a,2),19(a,1,2))]. given #190 (H,wt=12): 347 x / L(y \ 1,y,x) = x * y. [para(162(a,2),70(a,1,2))]. given #191 (H,wt=12): 348 R(1 / x,x,x \ 1) = x \ 1. [hyper(255,a,135,a(flip),b,163,a)]. given #192 (H,wt=12): 354 R(1 / x,x,y) \ y = x * y. [para(163(a,2),73(a,1,1))]. given #193 (H,wt=13): 80 x != y | z * u != y | z \ x = u. [para(19(a,1),22(a,1)),flip(c)]. given #194 (H,wt=13): 81 x != y | z * u != y | x / u = z. [para(21(a,1),23(a,1)),flip(c)]. given #195 (H,wt=13): 105 x \ ((y \ x) * y) = K(y \ x,y). [para(19(a,1),31(a,2,1)),flip(a)]. given #196 (H,wt=13): 106 ((x \ y) * x) \ y = K(x,x \ y). [para(19(a,1),31(a,2,2)),flip(a)]. given #197 (H,wt=13): 107 x \ (y * (x / y)) = K(y,x / y). [para(21(a,1),31(a,2,1)),flip(a)]. given #198 (H,wt=13): 108 (x * (y / x)) \ y = K(y / x,x). [para(21(a,1),31(a,2,2)),flip(a)]. given #199 (H,wt=13): 170 x * (y * (y \ T(z,x))) = z * x. [para(19(a,2),127(a,1,2))]. given #200 (H,wt=13): 182 x * T(T(y,x),z) = T(y,z) * x. [para(43(a,1),127(a,1,2))]. given #201 (H,wt=13): 185 T(T(x / y,z),y) = T(y \ x,z). [para(129(a,1),43(a,1,1)),flip(a)]. given #202 (H,wt=13): 197 T(T(T(x,y),z),x) = T(T(x,y),z). [para(137(a,1),43(a,1,1)),flip(a)]. given #203 (H,wt=9): 402 T(x,T(T(x,y),z)) = x. [hyper(40,a,197,a)]. given #204 (H,wt=9): 403 K(x,T(T(x,y),z)) = 1. [hyper(41,a,402,a)]. given #205 (H,wt=13): 200 (T(x,y) * z) / T(T(x,z),y) = z. [para(43(a,1),144(a,1,2))]. given #206 (H,wt=13): 202 T(T((x * y) / x,z),x) = T(y,z). [para(166(a,1),43(a,1,1)),flip(a)]. given #207 (H,wt=13): 204 T((x * y) / x,y) = (x * y) / x. [para(166(a,1),196(a,1,2))]. given #208 (H,wt=13): 205 (x * T(T(y,x),z)) / x = T(y,z). [para(43(a,1),167(a,1,1,2))]. given #209 (H,wt=13): 263 x * K(y \ x,y) = (y \ x) * y. [hyper(255,a,99,a(flip),b,104,a(flip)),flip(a)]. given #210 (H,wt=13): 264 x * K(y,x / y) = y * (x / y). [hyper(255,a,98,a(flip),b,104,a(flip)),flip(a)]. given #211 (H,wt=13): 281 x / K(y,y \ x) = (y \ x) * y. [para(19(a,1),142(a,1,1))]. given #212 (H,wt=13): 289 x * T(x \ 1,x) = K(x \ 1,x). [hyper(255,a,127,a,b,189,a),flip(a)]. given #213 (H,wt=13): 294 x \ K(x \ 1,x) = T(x \ 1,x). [para(189(a,2),37(a,2,2)),flip(a)]. given #214 (H,wt=13): 390 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(189(a,2),106(a,1,1))]. given #215 (H,wt=13): 391 K(x,1 / x) \ 1 = K(1 / x,x). [para(191(a,2),108(a,1,1))]. given #216 (H,wt=14): 86 x \ (x * (y * z)) != y * u | u = z. [para(18(a,2),24(a,2)),flip(a)]. given #217 (H,wt=14): 88 x * (x \ (y * z)) != y * u | u = z. [para(19(a,2),24(a,2)),flip(a)]. given #218 (H,wt=14): 90 ((x * y) / z) * z != x * u | u = y. [para(21(a,2),24(a,2)),flip(a)]. given #219 (H,wt=14): 93 x \ (x * (y * z)) != u * z | u = y. [para(18(a,2),25(a,2)),flip(a)]. given #220 (H,wt=14): 95 ((x * y) * z) / z != u * y | u = x. [para(20(a,2),25(a,2)),flip(a)]. given #221 (H,wt=14): 112 (x * y) * L(z,y,x) = x * (y * z). [para(33(a,2),19(a,1,2))]. given #222 (H,wt=14): 114 L(x \ y,x,z) = (z * x) \ (z * y). [para(19(a,1),33(a,2,2,2))]. given #223 (H,wt=14): 122 R(x,y,z) * (y * z) = (x * y) * z. [para(35(a,2),21(a,1,1))]. given #224 (H,wt=14): 123 R(x / y,y,z) = (x * z) / (y * z). [para(21(a,1),35(a,2,1,1))]. given #225 (H,wt=14): 143 (x * (y * z)) / L(z,y,x) = x * y. [para(33(a,2),70(a,1,2))]. given #226 (H,wt=14): 149 R(x,y,z) \ ((x * y) * z) = y * z. [para(35(a,2),73(a,1,1))]. given #227 (H,wt=14): 160 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(62(a,1),35(a,2,1))]. given #228 (H,wt=14): 165 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(72(a,1),33(a,2,2))]. given #229 (H,wt=14): 190 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(132(a,1),33(a,2)),flip(a)]. given #230 (H,wt=14): 192 (1 / x) * (x * y) = L(y,x,1 / x). [para(133(a,1),33(a,2)),flip(a)]. given #231 (H,wt=14): 193 (x * y) * (y \ 1) = R(x,y,y \ 1). [para(135(a,1),35(a,2)),flip(a)]. given #232 (H,wt=14): 194 (x * (1 / y)) * y = R(x,1 / y,y). [para(136(a,1),35(a,2)),flip(a)]. given #233 (H,wt=14): 208 x * K(y,z) != y * z | z * y = x. [para(31(a,2),94(a,1,2)),flip(b)]. given #234 (H,wt=14): 210 x * ((y / (z \ u)) \ y) != u | x = z. [para(73(a,2),94(a,1,2))]. given #235 (H,wt=14): 233 x \ ((x * y) * L(z,y,x)) = y * z. [para(33(a,2),65(a,1,2,2))]. given #236 (H,wt=14): 241 L(x \ (y \ z),x,y) = (y * x) \ z. [para(66(a,1),33(a,2,2))]. given #237 (H,wt=14): 252 (R(x,y,z) * (y * z)) / z = x * y. [para(35(a,2),77(a,1,1,1))]. given #238 (H,wt=14): 253 R((x / y) / z,z,y) = x / (z * y). [para(78(a,1),35(a,2,1))]. given #239 (H,wt=14): 261 x * y != z * y | (z / u) * u = x. [para(98(a,1),25(a,2)),flip(b)]. given #240 (H,wt=14): 262 ((x / y) * y) * z != u | x \ u = z. [para(98(a,2),87(a,1))]. given #241 (H,wt=14): 265 (x * y) * z != y * x | K(y,x) = z. [para(104(a,1),24(a,1)),flip(a)]. given #242 (H,wt=14): 266 (x * y) * K(y,x) != y * z | z = x. [para(104(a,2),24(a,2)),flip(a)]. given #243 (H,wt=14): 272 (x * y) \ (y * x) != z | K(y,x) = z. [para(104(a,1),222(a,1,2)),flip(b)]. given #244 (H,wt=14): 284 ((x / y) \ x) * z != u | y \ u = z. [para(146(a,2),87(a,1))]. given #245 (H,wt=14): 286 (x \ y) * z != y | T(x,x \ y) = z. [para(169(a,1),24(a,1)),flip(a)]. given #246 (H,wt=14): 287 (x \ y) \ y != z | T(x,x \ y) = z. [para(169(a,1),222(a,1,2)),flip(b)]. given #247 (H,wt=14): 291 K(x \ 1,x) != y * x | x \ 1 = y. [para(189(a,2),25(a,1))]. given #248 (H,wt=14): 296 (x / y) \ x != z * u | z \ y = u. [para(221(a,2),24(a,1))]. given #249 (H,wt=14): 297 x * (x \ y) != z * u | y / u = z. [para(232(a,1),94(a,1,2)),flip(a),flip(b)]. given #250 (H,wt=14): 299 (x / y) * y != z * u | z \ x = u. [para(240(a,2),24(a,1))]. given #251 (H,wt=14): 302 (x / (y \ x)) * z != u | y * z = u. [para(256(a,1),226(a,1,1)),flip(b)]. given #252 (H,wt=14): 307 (x * y) / y != z * u | x / u = z. [para(258(a,2),25(a,1))]. given #253 (H,wt=14): 308 ((x / y) * y) * z != u | x * z = u. [para(258(a,1),226(a,1,1)),flip(b)]. given #254 (H,wt=14): 309 x \ (x * y) != z * u | z \ y = u. [para(259(a,2),24(a,1))]. given #255 (H,wt=14): 310 x * (y * (y \ z)) != u | x * z = u. [para(259(a,1),220(a,1,2)),flip(b)]. given #256 (H,wt=14): 313 x * ((y / z) \ y) != u | u / z = x. [para(285(a,1),25(a,1)),flip(a)]. given #257 (H,wt=14): 315 (x \ 1) * x != y | K(x \ 1,x) = y. [para(290(a,1),220(a,1,2)),flip(b)]. given #258 (H,wt=14): 338 x * (1 / x) != y | K(x,1 / x) = y. [para(104(a,1),158(a,1))]. given #259 (H,wt=14): 342 L((x \ y) \ 1,x \ y,x) = y \ x. [para(19(a,1),162(a,2,1))]. given #260 (H,wt=11): 525 K((x \ y) \ 1,y \ x) = 1. [para(342(a,1),280(a,1,2))]. given #261 (H,wt=11): 526 K(((x * y) \ x) \ 1,y) = 1. [para(18(a,1),525(a,1,2))]. given #262 (H,wt=14): 343 L(x \ 1,x,y / x) = y \ (y / x). [para(21(a,1),162(a,2,1))]. given #263 (H,wt=14): 350 R(1 / x,x,x \ y) = (x \ y) / y. [para(19(a,1),163(a,2,2))]. given #264 (H,wt=14): 351 R(1 / (x / y),x / y,y) = y / x. [para(21(a,1),163(a,2,2))]. given #265 (H,wt=14): 364 K(x \ 1,x) != y | (x \ 1) * x = y. [para(31(a,2),227(a,1)),flip(b)]. given #266 (H,wt=14): 365 K(x,1 / x) != y | x * (1 / x) = y. [para(31(a,2),228(a,1)),flip(b)]. given #267 (H,wt=14): 368 x * (x \ y) != z * u | z \ y = u. [para(234(a,2),235(a,1))]. given #268 (H,wt=14): 369 (x / y) * y != z * u | x / u = z. [para(237(a,2),239(a,1))]. given #269 (H,wt=14): 375 x / L(y,1 / y,x) = x * (1 / y). [para(73(a,1),347(a,1,2,1))]. given #270 (H,wt=14): 379 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(70(a,1),354(a,1,1,1))]. given #271 (H,wt=14): 382 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(80,a,33,a,b,133,a(flip))]. given #272 (H,wt=14): 383 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(80,a,33,a,b,132,a(flip))]. given #273 (H,wt=14): 385 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(81,a,35,a,b,135,a(flip))]. given #274 (H,wt=14): 386 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(81,a,162,a(flip),b,16,a)]. given #275 (H,wt=14): 416 x \ (x * y) != z * u | y / u = z. [para(21(a,1),93(a,1,2,2)),flip(b)]. given #276 (H,wt=14): 417 (x * y) / L(z \ y,z,x) = x * z. [hyper(81,a,97,a(flip),b,112,a)]. given #277 (H,wt=14): 435 L(x \ (y * x),x,y) = T(y,y * x). [hyper(255,a,37,a,b,114,a)]. given #278 (H,wt=12): 542 L(T(x,y),y,x) = T(x,x * y). [para(37(a,2),435(a,1,1))]. given #279 (H,wt=12): 543 T(L(x,y,x),y) = T(x,x * y). [hyper(255,a,45,a(flip),b,542,a(flip)),flip(a)]. given #280 (H,wt=14): 436 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(255,a,133,a(flip),b,114,a)]. given #281 (H,wt=14): 437 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(255,a,132,a(flip),b,114,a)]. given #282 (H,wt=14): 452 R(x / y,y,z) \ (x * z) = y * z. [hyper(80,a,98,a(flip),b,122,a)]. given #283 (H,wt=14): 471 R(x / (1 / y),1 / y,y) = x * y. [hyper(255,a,136,a(flip),b,123,a)]. given #284 (H,wt=14): 472 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(255,a,135,a(flip),b,123,a)]. given #285 (H,wt=14): 490 K(x,1 / x) \ x = L(x,1 / x,x). [para(191(a,2),165(a,2,1)),flip(a)]. given #286 (H,wt=14): 503 K(x,1 / x) * x = R(x,1 / x,x). [para(191(a,2),194(a,1,1))]. given #287 (H,wt=14): 519 (x * (x \ y)) * z != u | y * z = u. [para(257(a,1),302(a,1,1))]. given #288 (H,wt=14): 547 x * T(y,y * x) = L(y,x,y) * x. [para(543(a,1),127(a,1,2))]. given #289 (H,wt=14): 548 (x * T(y,y * x)) / x = L(y,x,y). [para(543(a,1),167(a,1,1,2))]. given #290 (H,wt=14): 557 K(x,1 / x) * L(x,1 / x,x) = x. [para(490(a,1),19(a,1,2))]. given #291 (H,wt=14): 558 ((x / y) \ x) * z != u | y * z = u. [para(221(a,2),519(a,1,1))]. given #292 (H,wt=15): 172 x * y != z | y * u != z | T(x,y) = u. [para(127(a,1),22(a,1)),flip(c)]. given #293 (H,wt=13): 564 T(x / y,(z / y) \ z) = y \ x. [hyper(172,a,285,a,b,282,a)]. given #294 (H,wt=15): 177 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(127(a,1),31(a,2,1)),flip(a)]. given #295 (H,wt=15): 183 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(45(a,2),127(a,1,2))]. given #296 (H,wt=15): 184 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(47(a,2),127(a,1,2))]. given #297 (H,wt=13): 577 R(x,y,z) * x = x * R(x,y,z). [para(126(a,1),184(a,1,2,1)),flip(a)]. given #298 (H,wt=8): 584 T(x,R(x,y,z)) = x. [hyper(173,a,577,a)]. given #299 (H,wt=15): 186 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(129(a,1),45(a,1,1)),flip(a)]. given #300 (H,wt=15): 187 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(129(a,1),47(a,1,1)),flip(a)]. given #301 (H,wt=14): 587 T(x / (y * x),y) = R(y \ 1,y,x). [para(163(a,1),187(a,1,1))]. given #302 (H,wt=15): 206 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(45(a,2),168(a,1,2,2))]. given #303 (H,wt=15): 242 x * (x \ (y * z)) = y * (u * (u \ z)). [para(65(a,1),66(a,1,2,2,2)),flip(a)]. given #304 (H,wt=15): 270 K(x,y) \ (x * y) = T(y * x,K(x,y)). [para(104(a,1),37(a,2,2)),flip(a)]. given #305 (H,wt=15): 271 (x * y) / T(y * x,K(x,y)) = K(x,y). [para(104(a,1),144(a,1,1))]. given #306 (H,wt=15): 273 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(27,a,128,a)]. given #307 (H,wt=15): 274 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(26,a,128,a)]. given #308 (H,wt=15): 275 (x \ y) \ y = z * (z \ T(x,x \ y)). [hyper(255,a,19,a,b,128,a(flip))]. given #309 (H,wt=15): 276 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(128(a,1),43(a,1,1)),flip(a)]. given #310 (H,wt=15): 288 T(x / (x / y),(z / (x / y)) \ z) = y. [para(73(a,2),188(a,1,2))]. given #311 (H,wt=15): 312 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(199(a,1),282(a,1,1,1))]. given #312 (H,wt=15): 314 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(199(a,1),285(a,1,2,1))]. given #313 (H,wt=15): 374 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(341(a,1),222(a,1,2)),flip(b)]. given #314 (H,wt=15): 380 x / (y * x) != z | R(1 / y,y,x) = z. [para(354(a,1),303(a,1,2)),flip(b)]. given #315 (H,wt=15): 381 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(80,a,128,a,b,19,a)]. given #316 (H,wt=15): 384 (T(x,x \ y) / z) \ ((x \ y) \ y) = z. [hyper(80,a,128,a(flip),b,21,a)]. given #317 (H,wt=15): 387 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(18(a,1),105(a,2,1)),flip(a)]. given #318 (H,wt=11): 614 K(x \ (x * y),x) = K(y,x). [hyper(255,a,105,a(flip),b,387,a),flip(a)]. given #319 (H,wt=11): 615 K(x \ (x * y),z) = K(y,z). [para(61(a,1),614(a,1,1)),flip(a)]. given #320 (H,wt=11): 616 K((x / y) \ x,z) = K(y,z). [para(21(a,1),615(a,1,1,2))]. given #321 (H,wt=15): 388 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(127(a,2),105(a,1,2))]. given #322 (H,wt=15): 394 x * T(x \ (y * x),z) = T(y,z) * x. [para(37(a,1),182(a,1,2,1))]. given #323 (H,wt=15): 396 T(x / y,z) * y = y * T(y \ x,z). [para(129(a,1),182(a,1,2,1)),flip(a)]. given #324 (H,wt=15): 397 T((x * y) / x,z) * x = x * T(y,z). [para(166(a,1),182(a,1,2,1)),flip(a)]. given #325 (H,wt=14): 618 T((x * y) / x,y * x) = L(y,x,y). [hyper(23,a,547,a(flip),b,397,a)]. given #326 (H,wt=15): 400 (x * T(x \ y,z)) / x = T(y / x,z). [para(185(a,1),167(a,1,1,2))]. given #327 (H,wt=15): 404 (x * T(y,z)) / x = T((x * y) / x,z). [para(202(a,1),167(a,1,1,2))]. given #328 (H,wt=15): 524 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(342(a,1),279(a,1,2))]. given #329 (H,wt=15): 553 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(437(a,1),279(a,1,2))]. given #330 (H,wt=13): 629 T(x * y,(x \ 1) \ y) = x * y. [hyper(40,a,553,a)]. given #331 (H,wt=15): 596 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(80,a,273,a,b,xx)]. given #332 (H,wt=15): 601 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(369,a,274,a),flip(a)]. given #333 (H,wt=15): 602 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(81,a,274,a,b,xx)]. given #334 (H,wt=16): 100 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(29(a,2),19(a,1,2))]. given #335 (H,wt=16): 113 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(19(a,1),33(a,2,1)),flip(a)]. given #336 (H,wt=16): 115 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(21(a,1),33(a,2,1)),flip(a)]. given #337 (H,wt=16): 116 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(21(a,1),33(a,2,2,2))]. given #338 (H,wt=16): 120 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(19(a,1),35(a,2,1,1))]. given #339 (H,wt=16): 124 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(21(a,1),35(a,2,2)),flip(a)]. given #340 (H,wt=16): 141 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(29(a,2),70(a,1,2))]. given #341 (H,wt=16): 161 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(64(a,1),29(a,2,1)),flip(a)]. given #342 (H,wt=15): 643 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(193(a,1),161(a,1,2))]. given #343 (H,wt=15): 644 x * a(x,y,y \ 1) = R(x,y,y \ 1). [para(643(a,1),19(a,1,2))]. given #344 (H,wt=16): 164 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(72(a,1),29(a,2,1)),flip(a)]. given #345 (H,wt=15): 648 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(194(a,1),164(a,1,2))]. given #346 (H,wt=16): 179 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(127(a,1),33(a,2,2,2)),flip(a)]. given #347 (H,wt=16): 269 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(104(a,1),35(a,2,1)),flip(a)]. given #348 (H,wt=16): 300 R(x,y / z,z) * y = (x * (y / z)) * z. [para(35(a,2),249(a,1,1))]. given #349 (H,wt=16): 301 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(254(a,1),35(a,2,1))]. given #350 (H,wt=16): 311 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(35(a,2),260(a,1,1))]. given #351 (H,wt=16): 340 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(26,a,162,a)]. given #352 (H,wt=16): 344 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(162(a,1),45(a,2,1)),flip(a)]. given #353 (H,wt=16): 349 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(27,a,163,a)]. given #354 (H,wt=16): 352 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(163(a,1),47(a,2,1)),flip(a)]. given #355 (H,wt=16): 355 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(127(a,1),173(a,2))]. given #356 (H,wt=16): 356 x * (y * (y \ z)) != z * u | T(x,z) = u. [para(97(a,2),173(a,2)),flip(a)]. given #357 (H,wt=16): 358 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(43(a,1),174(a,1,2)),flip(b)]. given #358 (H,wt=16): 359 T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. [para(127(a,1),223(a,1,2))]. given #359 (H,wt=16): 361 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(43(a,1),225(a,1,2))]. given #360 (H,wt=16): 367 x * (y * (y \ 1)) != z * u | z \ x = u. [para(19(a,2),235(a,1,2))]. given #361 (H,wt=16): 370 (x * (x \ 1)) * y != z * u | y / u = z. [para(19(a,2),248(a,1,1))]. given #362 (H,wt=16): 371 ((1 / x) * x) * y != z * u | y / u = z. [para(21(a,2),248(a,1,1))]. given #363 (H,wt=16): 372 L(T(x \ 1,y),x,1 / x) = T(1 / x,y). [para(339(a,1),45(a,2,1))]. given #364 (H,wt=14): 662 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(255,a,129,a(flip),b,372,a)]. given #365 (H,wt=16): 376 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(347(a,1),282(a,1,1,1))]. given #366 (H,wt=16): 377 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(347(a,1),283(a,1,2,1,1))]. given #367 (H,wt=16): 378 R(T(1 / x,y),x,x \ 1) = T(x \ 1,y). [para(348(a,1),47(a,2,1))]. given #368 (H,wt=16): 389 x * K(y \ x,y) != z | (y \ x) * y = z. [para(105(a,1),220(a,1,2)),flip(b)]. given #369 (H,wt=16): 392 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(170(a,1),33(a,2,2))]. given #370 (H,wt=12): 666 K(x,y) = L(x \ T(x,y),x,y). [hyper(255,a,31,a,b,392,a),flip(a)]. given #371 (H,wt=15): 668 L(x \ T(x,y),x,y) != z | K(x,y) = z. [para(392(a,2),272(a,1))]. given #372 (H,wt=16): 393 T(x,y) * z != z * u | T(T(x,z),y) = u. [para(182(a,1),24(a,1))]. given #373 (H,wt=16): 408 (x \ y) * x != y * z | K(x \ y,x) = z. [para(263(a,1),24(a,1))]. given #374 (H,wt=16): 410 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(263(a,1),222(a,1,2)),flip(b)]. given #375 (H,wt=16): 411 x * (y / x) != y * z | K(x,y / x) = z. [para(264(a,1),24(a,1))]. given #376 (H,wt=16): 412 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(264(a,1),222(a,1,2)),flip(b)]. given #377 (H,wt=16): 413 x * T(x \ 1,x) != y | K(x \ 1,x) = y. [para(294(a,1),220(a,1,2)),flip(b)]. given #378 (H,wt=16): 414 x \ (y * x) != z * u | z \ T(y,x) = u. [para(170(a,1),86(a,1,2)),flip(b)]. given #379 (H,wt=16): 418 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(255,a,99,a(flip),b,112,a(flip)),flip(a)]. given #380 (H,wt=16): 419 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(255,a,98,a(flip),b,112,a(flip)),flip(a)]. given #381 (H,wt=14): 675 L(x \ y,x,y / x) = T(y / x,y). [hyper(172,a,97,a(flip),b,419,a),flip(a)]. given #382 (H,wt=16): 439 L((x \ y) \ z,x \ y,x) = y \ (x * z). [para(19(a,1),114(a,2,1))]. given #383 (H,wt=16): 440 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(21(a,1),114(a,2,1))]. given #384 (H,wt=16): 446 x / L(y \ z,y,x / z) = (x / z) * y. [para(114(a,2),298(a,1,2))]. given #385 (H,wt=16): 450 R(x / y,y,x \ z) \ z = y * (x \ z). [hyper(80,a,254,a(flip),b,122,a)]. given #386 (H,wt=16): 451 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(80,a,99,a(flip),b,122,a)]. given #387 (H,wt=16): 473 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(19(a,1),123(a,2,2))]. given #388 (H,wt=16): 474 R(x / (y / z),y / z,z) = (x * z) / y. [para(21(a,1),123(a,2,2))]. given #389 (H,wt=16): 483 (x * y) / L(z,y / z,x) = x * (y / z). [para(21(a,1),143(a,1,1,2))]. given #390 (H,wt=16): 484 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(127(a,1),143(a,1,1,2))]. given #391 (H,wt=16): 496 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(127(a,1),192(a,1,2)),flip(a)]. given #392 (H,wt=13): 687 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(255,a,662,a(flip),b,496,a(flip))]. given #393 (H,wt=13): 688 (1 / x) \ (x \ 1) = (x \ 1) * x. [hyper(80,a,662,a(flip),b,496,a(flip))]. given #394 (H,wt=13): 691 (1 / x) * K(x \ 1,x) = x \ 1. [para(189(a,2),687(a,1,2))]. given #395 (H,wt=13): 692 (1 / x) \ (x \ 1) = K(x \ 1,x). [hyper(255,a,189,a,b,688,a)]. given #396 (H,wt=16): 509 (x * (y / x)) \ y != z | K(y / x,x) = z. [para(21(a,1),272(a,1,2))]. given #397 (H,wt=16): 516 x * T(y,x) != z * u | z \ (y * x) = u. [para(144(a,1),299(a,1,1))]. given #398 (H,wt=16): 522 (x * (x \ 1)) * y != z * u | z \ y = u. [para(132(a,1),309(a,1))]. given #399 (H,wt=16): 539 T((x * y) / x,x) != z * u | y / u = z. [para(129(a,2),416(a,1))]. given #400 (H,wt=16): 544 L(T(T(x,y),z),y,x) = T(T(x,x * y),z). [para(542(a,1),45(a,2,1))]. given #401 (H,wt=16): 588 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(123(a,1),187(a,1,1))]. given #402 (H,wt=16): 589 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(253(a,1),187(a,1,1)),flip(a)]. given #403 (H,wt=16): 590 T((x \ y) / y,x) = R(x \ 1,x,x \ y). [para(350(a,1),187(a,1,1))]. given #404 (H,wt=16): 592 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(472(a,1),187(a,1,1)),flip(a)]. given #405 (H,wt=16): 593 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(587(a,1),127(a,1,2)),flip(a)]. given #406 (H,wt=16): 634 x * a(x,y,y \ 1) = (x * y) * (y \ 1). [para(64(a,1),100(a,1,1))]. given #407 (H,wt=16): 647 x \ (K(x,1 / x) * x) = a(x,1 / x,x). [para(191(a,2),164(a,1,2,1))]. given #408 (H,wt=14): 711 T(K(x,1 / x),x) = a(x,1 / x,x). [hyper(223,a,647,a)]. given #409 (H,wt=16): 649 (x * y) \ (x * (z * y)) = T(L(z,y,x),y). [hyper(255,a,45,a(flip),b,179,a)]. given #410 (H,wt=16): 657 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(220,a,349,a)]. given #411 (H,wt=16): 658 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(255,a,129,a(flip),b,352,a(flip))]. given #412 (H,wt=16): 703 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(18(a,1),588(a,2,1)),flip(a)]. given #413 (H,wt=12): 716 T(R(x,y,x),y * x) = T(x,y). [para(703(a,2),202(a,1,1))]. given #414 (H,wt=12): 718 R(T(x,y * x),y,x) = T(x,y). [hyper(255,a,47,a,b,716,a(flip)),flip(a)]. given #415 (H,wt=14): 721 R(T(x,y),y / x,x) = T(x,y / x). [para(21(a,1),718(a,1,1,2))]. given #416 (H,wt=12): 725 R(x,1 / x,x) = T(x,1 / x). [para(153(a,1),721(a,1,1))]. given #417 (H,wt=13): 726 T(x,1 / x) / x = K(x,1 / x). [hyper(81,a,725,a(flip),b,503,a)]. given #418 (H,wt=14): 722 x * R(T(y,x * y),x,y) = y * x. [para(718(a,2),127(a,1,2))]. given #419 (H,wt=14): 728 x \ T(x,1 / x) = a(x,1 / x,x). [para(725(a,1),648(a,1,2))]. given #420 (H,wt=16): 707 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(18(a,1),592(a,1,1)),flip(a)]. given #421 (H,wt=16): 717 R(x,y,x) * (y * x) = (y * x) * T(x,y). [para(703(a,2),397(a,1,1))]. given #422 (H,wt=13): 730 (x * y) * T(y,x) = (y * x) * y. [hyper(255,a,122,a(flip),b,717,a(flip))]. given #423 (H,wt=13): 732 ((x \ 1) * x) \ x = T(x,x \ 1). [hyper(80,a,62,a(flip),b,730,a)]. given #424 (H,wt=13): 733 K(x \ 1,x) \ x = T(x,x \ 1). [para(189(a,2),732(a,1,1))]. given #425 (H,wt=13): 734 K(x \ 1,x) \ x = (x \ 1) \ 1. [hyper(255,a,128,a(flip),b,733,a)]. given #426 (H,wt=13): 735 K(x \ 1,x) * ((x \ 1) \ 1) = x. [para(734(a,1),19(a,1,2))]. given #427 (H,wt=15): 731 (x * (y / x)) * x = y * T(x,y / x). [hyper(308,a,730,a),flip(a)]. given #428 (H,wt=17): 130 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(47(a,2),43(a,1,1)),flip(a)]. given #429 (H,wt=17): 209 x * L(y,z,u) != u * (z * y) | u * z = x. [para(33(a,2),94(a,1,2)),flip(b)]. given #430 (H,wt=17): 224 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(33(a,2),220(a,1,2)),flip(b)]. given #431 (H,wt=17): 230 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(35(a,2),226(a,1,1)),flip(b)]. given #432 (H,wt=17): 277 T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). [para(128(a,1),45(a,1,1)),flip(a)]. given #433 (H,wt=17): 278 T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. [para(128(a,2),128(a,1,2))]. given #434 (H,wt=17): 366 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(33(a,2),228(a,1)),flip(b)]. given #435 (H,wt=17): 395 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(43(a,1),182(a,1,2,1))]. given #436 (H,wt=17): 415 (x * y) * L(z,y,x) != x * u | y * z = u. [para(33(a,2),88(a,1,2)),flip(b)]. given #437 (H,wt=17): 422 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(112(a,1),24(a,1)),flip(a)]. given #438 (H,wt=17): 431 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(112(a,1),222(a,1,2)),flip(b)]. given #439 (H,wt=17): 434 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(112(a,1),158(a,1))]. given #440 (H,wt=17): 447 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(114(a,2),227(a,1)),flip(b)]. given #441 (H,wt=17): 454 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(122(a,1),25(a,1))]. given #442 (H,wt=17): 455 R(x,y,z) * (y * z) != u * z | x * y = u. [para(122(a,2),25(a,1))]. given #443 (H,wt=17): 466 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(122(a,1),304(a,1,1)),flip(b)]. given #444 (H,wt=17): 467 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(122(a,2),304(a,1,1)),flip(b)]. given #445 (H,wt=17): 468 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(122(a,1),159(a,1)),flip(b)]. given #446 (H,wt=17): 479 R(x / (1 / y),1 / y,y) != z | x * y = z. [para(123(a,2),218(a,1)),flip(b)]. given #447 (H,wt=17): 497 (1 / x) \ L(y,x,1 / x) != z | x * y = z. [para(192(a,1),222(a,1,2)),flip(b)]. given #448 (H,wt=17): 500 R(x,y,y \ 1) / (y \ 1) != z * y | z = x. [para(193(a,1),95(a,1,1))]. given #449 (H,wt=17): 504 x * (y * z) != u | (x * y) * L(z,y,x) = u. [para(233(a,1),220(a,1,2)),flip(b)]. given #450 (H,wt=17): 536 x / ((y \ 1) * x) != z | R(y,y \ 1,x) = z. [para(379(a,1),303(a,1,2)),flip(b)]. given #451 (H,wt=17): 537 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(383(a,1),220(a,1,2)),flip(b)]. given #452 (H,wt=17): 549 x * T(y,y * x) != z * x | L(y,x,y) = z. [para(543(a,1),174(a,1,2)),flip(b)]. given #453 (H,wt=17): 560 L(x,y,x) * y != y * z | T(x,x * y) = z. [para(547(a,1),24(a,1))]. given #454 (H,wt=17): 563 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(557(a,1),24(a,1)),flip(a)]. given #455 (H,wt=17): 570 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(129(a,1),183(a,1,2,1)),flip(a)]. given #456 (H,wt=16): 762 L(1 / x,x,y) * x = x * ((y * x) \ y). [hyper(255,a,340,a(flip),b,570,a)]. given #457 (H,wt=16): 763 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [hyper(81,a,340,a(flip),b,570,a)]. given #458 (H,wt=17): 571 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(166(a,1),183(a,1,2,1)),flip(a)]. given #459 (H,wt=17): 578 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(129(a,1),184(a,1,2,1)),flip(a)]. given #460 (H,wt=17): 579 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(137(a,1),184(a,1,2,1)),flip(a)]. given #461 (H,wt=10): 773 T(x,R(T(x,y),z,u)) = x. [hyper(173,a,579,a)]. given #462 (H,wt=17): 580 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(166(a,1),184(a,1,2,1)),flip(a)]. given #463 (H,wt=17): 585 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(186(a,1),167(a,1,1,2))]. given #464 (H,wt=16): 784 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(666(a,2),585(a,1,1,2)),flip(a)]. given #465 (H,wt=17): 586 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(187(a,1),167(a,1,1,2))]. given #466 (H,wt=17): 608 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(21(a,1),374(a,1,1))]. given #467 (H,wt=17): 610 (x \ y) / y != z | R(1 / x,x,x \ y) = z. [para(19(a,1),380(a,1,2))]. given #468 (H,wt=17): 626 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(404(a,2),127(a,1,2))]. given #469 (H,wt=17): 627 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(129(a,1),404(a,1,1,2)),flip(a)]. given #470 (H,wt=17): 663 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [hyper(80,a,372,a(flip),b,192,a)]. given #471 (H,wt=17): 665 T(x \ 1,y) / (x \ 1) = T(1 / x,y) * x. [hyper(81,a,378,a(flip),b,193,a)]. given #472 (H,wt=17): 690 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(73(a,1),687(a,1,2,1))]. given #473 (H,wt=13): 794 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(255,a,73,a(flip),b,690,a)]. given #474 (H,wt=13): 796 (1 / (1 / x)) * K(x,1 / x) = x. [para(191(a,2),794(a,1,2))]. given #475 (H,wt=17): 693 K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1). [hyper(80,a,691,a(flip),b,140,a(flip)),flip(a)]. given #476 (H,wt=17): 723 x * R(T(y,x * y),x,y) != z * x | z = y. [para(718(a,2),174(a,1,2))]. given #477 (H,wt=17): 724 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(718(a,1),122(a,1,1)),flip(a)]. given #478 (H,wt=17): 736 K(x,1 / x) \ (1 / x) = ((1 / x) \ 1) \ 1. [para(73(a,1),734(a,1,1,1))]. given #479 (H,wt=13): 798 K(x,1 / x) \ (1 / x) = x \ 1. [para(73(a,1),736(a,2,1))]. given #480 (H,wt=13): 799 K(x,1 / x) * (x \ 1) = 1 / x. [para(798(a,1),19(a,1,2))]. given #481 (H,wt=17): 737 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(255,a,47,a,b,130,a),flip(a)]. given #482 (H,wt=17): 751 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(66(a,1),431(a,1,2))]. given #483 (H,wt=17): 759 x / (y * z) != u | R((x / z) / y,y,z) = u. [para(78(a,1),466(a,1,1))]. given #484 (H,wt=17): 761 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(189(a,2),537(a,1,2))]. given #485 (H,wt=17): 767 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(96,a,571,a),flip(a)]. given #486 (H,wt=17): 775 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(96,a,580,a),flip(a)]. given #487 (H,wt=17): 793 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(255,a,396,a(flip),b,665,a)]. given #488 (H,wt=18): 101 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(19(a,1),29(a,2,2,1)),flip(a)]. given #489 (H,wt=18): 102 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(21(a,1),29(a,2,1,2)),flip(a)]. given #490 (H,wt=18): 103 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(21(a,1),29(a,2,2,1)),flip(a)]. given #491 (H,wt=18): 121 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(19(a,1),35(a,2,1))]. given #492 (H,wt=18): 178 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(127(a,1),33(a,2,1)),flip(a)]. given #493 (H,wt=18): 180 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(127(a,1),35(a,2,1,1)),flip(a)]. given #494 (H,wt=18): 181 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(127(a,1),35(a,2,2)),flip(a)]. given #495 (H,wt=14): 819 T(R(x,y,T(x,y)),x * y) = T(x,y). [para(181(a,1),166(a,1,1))]. given #496 (H,wt=14): 820 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(255,a,47,a,b,819,a(flip)),flip(a)]. given #497 (H,wt=18): 293 (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). [para(189(a,2),35(a,2,1,1)),flip(a)]. given #498 (H,wt=18): 316 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [para(33(a,2),298(a,1,2))]. given #499 (H,wt=18): 345 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(162(a,1),49(a,1,1))]. NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 399 (0.00 of 4.15 sec). given #500 (H,wt=18): 346 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(162(a,1),50(a,1,1)),flip(a)]. given #501 (H,wt=17): 823 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(339(a,1),346(a,1,1)),flip(a)]. given #502 (H,wt=18): 353 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(163(a,1),51(a,1,1)),flip(a)]. given #503 (H,wt=18): 362 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(45(a,2),225(a,1,2))]. given #504 (H,wt=18): 363 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(47(a,2),225(a,1,2))]. given #505 (H,wt=18): 401 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(185(a,1),225(a,1,2))]. given #506 (H,wt=18): 406 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(202(a,1),174(a,1,2)),flip(b)]. given #507 (H,wt=18): 427 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(45(a,1),112(a,1,2))]. given #508 (H,wt=18): 430 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(127(a,1),112(a,1,1))]. given #509 (H,wt=18): 438 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(255,a,107,a(flip),b,114,a)]. given #510 (H,wt=18): 442 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(114(a,1),45(a,2,1)),flip(a)]. given #511 (H,wt=18): 443 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(127(a,1),114(a,2,1))]. given #512 (H,wt=18): 445 L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). [para(191(a,2),114(a,2,2))]. given #513 (H,wt=18): 459 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(47(a,1),122(a,1,1))]. given #514 (H,wt=18): 462 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(127(a,1),122(a,1,2))]. given #515 (H,wt=18): 475 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(123(a,1),47(a,2,1)),flip(a)]. given #516 (H,wt=18): 476 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(123(a,2),129(a,1,1))]. given #517 (H,wt=18): 486 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(127(a,1),149(a,1,2,1))]. given #518 (H,wt=18): 493 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(80,a,45,a(flip),b,190,a)]. given #519 (H,wt=18): 494 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [para(127(a,1),190(a,1,2)),flip(a)]. given #520 (H,wt=18): 499 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(80,a,193,a(flip),b,127,a)]. given #521 (H,wt=18): 505 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(241(a,1),45(a,2,1))]. given #522 (H,wt=18): 508 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(73(a,1),241(a,1,1))]. given #523 (H,wt=18): 511 (x \ y) \ y != z * u | z \ T(x,x \ y) = u. [para(199(a,1),296(a,1,1))]. given #524 (H,wt=18): 514 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(259(a,1),297(a,1,2))]. given #525 (H,wt=18): 517 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(258(a,1),299(a,1,1))]. given #526 (H,wt=18): 520 (((x * y) / z) * z) / y != u * w | x / w = u. [para(21(a,2),307(a,1,1))]. given #527 (H,wt=18): 523 (x / y) \ (z * (z \ x)) != u * w | u \ y = w. [para(240(a,1),309(a,1,2))]. given #528 (H,wt=18): 527 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(343(a,1),45(a,2,1)),flip(a)]. given #529 (H,wt=18): 528 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(350(a,1),47(a,2,1)),flip(a)]. given #530 (H,wt=18): 530 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(19(a,2),368(a,1,2))]. given #531 (H,wt=18): 532 ((x / y) * y) * (x \ z) != u * w | u \ z = w. [para(98(a,2),368(a,1))]. given #532 (H,wt=18): 533 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(259(a,1),368(a,1,2))]. given #533 (H,wt=18): 534 (((x / y) / z) * z) * y != u * w | x / w = u. [para(21(a,2),369(a,1,1))]. given #534 (H,wt=18): 535 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(258(a,1),369(a,1,1))]. given #535 (H,wt=18): 545 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(542(a,1),49(a,1,1)),flip(a)]. given #536 (H,wt=18): 546 L(L(T(x,y),z,u),y,x) = L(T(x,x * y),z,u). [para(542(a,1),50(a,1,1)),flip(a)]. given #537 (H,wt=18): 550 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(436(a,1),45(a,2,1))]. given #538 (H,wt=17): 856 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(255,a,496,a(flip),b,550,a(flip)),flip(a)]. given #539 (H,wt=17): 858 T((1 / x) * (x * y),x) = (1 / x) * (y * x). [para(18(a,1),856(a,1,2,1)),flip(a)]. given #540 (H,wt=18): 552 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(437(a,1),45(a,2,1))]. given #541 (H,wt=18): 554 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(471(a,1),47(a,2,1))]. given #542 (H,wt=18): 555 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(472(a,1),47(a,2,1))]. given #543 (H,wt=18): 559 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(19(a,1),547(a,1,2,2)),flip(a)]. given #544 (H,wt=18): 562 ((x \ y) * T(x,y)) / (x \ y) = L(x,x \ y,x). [para(19(a,1),548(a,1,1,2,2))]. given #545 (H,wt=18): 565 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(255,a,112,a(flip),b,183,a(flip)),flip(a)]. given #546 (H,wt=18): 566 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [hyper(80,a,183,a(flip),b,112,a(flip))]. given #547 (H,wt=18): 567 L(x,y,z) * u != u * w | L(T(x,u),y,z) = w. [para(183(a,1),24(a,1))]. given #548 (H,wt=18): 573 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(255,a,122,a(flip),b,184,a)]. given #549 (H,wt=18): 574 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(80,a,122,a(flip),b,184,a)]. given #550 (H,wt=18): 575 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(184(a,1),24(a,1))]. given #551 (H,wt=18): 591 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(351(a,1),187(a,1,1)),flip(a)]. given #552 (H,wt=18): 605 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(275(a,2),310(a,1,2))]. given #553 (H,wt=18): 607 x / ((y \ z) \ z) != u | x / T(y,y \ z) = u. [para(314(a,1),304(a,1,1)),flip(b)]. given #554 (H,wt=18): 617 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(396(a,1),304(a,1,1)),flip(b)]. given #555 (H,wt=18): 620 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(397(a,1),304(a,1,1)),flip(b)]. given #556 (H,wt=18): 621 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(19(a,1),618(a,1,2))]. given #557 (H,wt=18): 622 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(618(a,1),43(a,1,1)),flip(a)]. given #558 (H,wt=18): 623 ((x * y) / x) * (y * x) = (y * x) * L(y,x,y). [para(618(a,1),127(a,1,2)),flip(a)]. given #559 (H,wt=18): 624 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(400(a,1),226(a,1,1)),flip(b)]. given #560 (H,wt=18): 628 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(404(a,1),226(a,1,1)),flip(b)]. given #561 (H,wt=18): 632 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(81,a,99,a(flip),b,100,a)]. given #562 (H,wt=18): 633 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(19(a,1),100(a,1,1,2))]. given #563 (H,wt=18): 639 L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). [para(127(a,1),115(a,1,2,2)),flip(a)]. given #564 (H,wt=18): 641 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(120(a,2),246(a,1,1))]. given #565 (H,wt=18): 642 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(120(a,2),250(a,1,1))]. given #566 (H,wt=18): 645 R(x,y,y \ 1) != x * z | a(x,y,y \ 1) = z. [para(644(a,1),24(a,1))]. given #567 (H,wt=18): 646 x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(644(a,1),222(a,1,2)),flip(b)]. given #568 (H,wt=18): 652 x * ((y * x) \ (y * (z * x))) = L(z,x,y) * x. [para(179(a,2),183(a,1,2))]. given #569 (H,wt=18): 661 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(37(a,1),361(a,1,2,1))]. given #570 (H,wt=18): 669 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(127(a,2),410(a,1,2))]. given #571 (H,wt=18): 670 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(255,a,183,a(flip),b,418,a(flip))]. given #572 (H,wt=18): 671 x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z). [hyper(80,a,183,a(flip),b,418,a(flip))]. given #573 (H,wt=18): 676 (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. [hyper(255,a,183,a(flip),b,419,a(flip))]. given #574 (H,wt=18): 681 T(R(x / y,y,y \ z),z) = z \ (x * (y \ z)). [para(473(a,2),129(a,1,1))]. given #575 (H,wt=18): 689 x * ((1 / x) * (y * x)) = L(y,x,1 / x) * x. [para(496(a,1),183(a,1,2))]. given #576 (H,wt=18): 712 T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). [para(21(a,1),649(a,1,1)),flip(a)]. given #577 (H,wt=18): 713 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(19(a,1),657(a,1,1,2))]. given #578 (H,wt=18): 714 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(703(a,2),127(a,1,2)),flip(a)]. given #579 (H,wt=15): 884 ((x * T(y,x * y)) * y) / (x * y) = y. [hyper(23,a,722,a(flip),b,714,a)]. given #580 (H,wt=15): 885 (x * T(y,x * y)) * y = y * (x * y). [para(884(a,1),21(a,1,1)),flip(a)]. given #581 (H,wt=13): 887 T(x * T(y,x * y),y) = x * y. [hyper(172,a,885,a,b,xx)]. given #582 (H,wt=15): 886 (x * (y * x)) / x = y * T(x,y * x). [para(884(a,1),77(a,1,1,1))]. given #583 (H,wt=15): 890 T((x / y) * T(y,(x / y) * y),y) = x. [hyper(255,a,21,a(flip),b,887,a)]. given #584 (H,wt=11): 892 T((x / y) * T(y,x),y) = x. [para(21(a,1),890(a,1,1,2,2))]. given #585 (H,wt=13): 893 T(x * T(x \ y,y),x \ y) = y. [para(70(a,1),892(a,1,1,1))]. given #586 (H,wt=13): 894 (x / y) * T(y,x) = (y * x) / y. [para(892(a,1),167(a,1,1,2)),flip(a)]. given #587 (H,wt=17): 895 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [para(893(a,1),167(a,1,1,2))]. given #588 (H,wt=11): 902 T(x,y * T(y \ x,x)) = x. [para(895(a,1),207(a,1,2))]. given #589 (H,wt=16): 903 T(x,(x * y) * L(T(y \ 1,x),y,x)) = x. [para(344(a,1),902(a,1,2,2))]. given #590 (H,wt=13): 904 T(x,x * (y * T(y \ 1,x))) = x. [para(112(a,1),903(a,1,2))]. given #591 (H,wt=17): 896 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(172,a,894,a,b,19,a),flip(a)]. given #592 (H,wt=17): 897 ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). [hyper(81,a,894,a(flip),b,127,a)]. given #593 (H,wt=18): 715 T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). [para(136(a,1),703(a,2,1)),flip(a)]. given #594 (H,wt=18): 727 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(725(a,1),51(a,1,1)),flip(a)]. given #595 (H,wt=18): 729 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [para(707(a,1),167(a,1,1,2))]. given #596 (H,wt=18): 781 (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). [para(114(a,1),585(a,1,1,2))]. given #597 (H,wt=18): 782 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(241(a,1),585(a,1,1,2)),flip(a)]. given #598 (H,wt=18): 783 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(436(a,1),585(a,1,1,2))]. given #599 (H,wt=18): 816 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(731(a,1),102(a,1,2))]. given #600 (H,wt=18): 818 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(255,a,404,a(flip),b,181,a(flip)),flip(a)]. given #601 (H,wt=18): 850 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(70(a,1),517(a,1,1,1))]. given #602 (H,wt=18): 853 (x * (x \ y)) * z != u * w | (y * z) / w = u. [para(70(a,1),535(a,1,1,1))]. given #603 (H,wt=18): 871 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(255,a,45,a,b,622,a)]. given #604 (H,wt=18): 872 L(((x * y) * x) / (x * y),y,x) = (y * x) / y. [hyper(23,a,571,a,b,623,a),flip(a)]. given #605 (H,wt=18): 882 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(255,a,47,a,b,681,a(flip)),flip(a)]. given #606 (H,wt=18): 888 x * (y * x) != z * x | y * T(x,y * x) = z. [para(885(a,1),25(a,1))]. given #607 (H,wt=18): 891 x \ ((y * (x * y)) / y) != z | T(y,x * y) = z. [para(886(a,2),222(a,1,2)),flip(b)]. given #608 (H,wt=18): 908 L(((x * y) * x) / (x * y),y,x) * y = y * x. [para(872(a,2),21(a,1,1))]. given #609 (H,wt=19): 398 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(128(a,1),182(a,1,2,1))]. given #610 (H,wt=19): 399 T(x / (x / y),z) * (x / y) = (x / y) * T(y,z). [para(188(a,1),182(a,1,2,1)),flip(a)]. given #611 (H,wt=19): 407 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(188(a,1),205(a,1,1,2,1))]. given #612 (H,wt=19): 420 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [hyper(81,a,112,a(flip),b,127,a)]. given #613 (H,wt=19): 421 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(80,a,112,a(flip),b,127,a)]. given #614 (H,wt=19): 469 R(x,y,z) * (y * z) != z * u | T(x * y,z) = u. [para(122(a,2),173(a,2)),flip(a)]. given #615 (H,wt=19): 540 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(341(a,1),416(a,1,2))]. given #616 (H,wt=19): 576 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(43(a,1),184(a,1,2,1))]. given #617 (H,wt=19): 594 x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. [para(587(a,1),225(a,1,2))]. given #618 (H,wt=19): 611 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(127(a,1),380(a,1,2))]. given #619 (H,wt=19): 636 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(100(a,1),222(a,1,2)),flip(b)]. given #620 (H,wt=19): 651 L(T(x,y),y,1 / y) != z | (1 / y) * (x * y) = z. [para(179(a,1),228(a,1)),flip(b)]. given #621 (H,wt=19): 672 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(418(a,1),24(a,1))]. given #622 (H,wt=19): 674 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(418(a,1),222(a,1,2)),flip(b)]. given #623 (H,wt=19): 680 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(451(a,1),303(a,1,2)),flip(b)]. given #624 (H,wt=19): 686 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(484(a,1),219(a,1,1)),flip(b)]. given #625 (H,wt=19): 706 T((x \ y) / y,x) * y = ((x \ 1) * x) * (x \ y). [para(590(a,2),311(a,1,1))]. given #626 (H,wt=19): 743 R(x,y,y \ z) * z != u | (x * y) * (y \ z) = u. [para(19(a,1),230(a,1,2))]. given #627 (H,wt=19): 766 L(1 / x,x,y) * x != z | x * ((y * x) \ y) = z. [para(763(a,1),226(a,1,1)),flip(b)]. given #628 (H,wt=19): 789 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(129(a,1),626(a,1,2,1,2)),flip(a)]. given #629 (H,wt=19): 791 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(627(a,1),167(a,1,1,2))]. given #630 (H,wt=19): 792 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(627(a,1),168(a,1,2,2))]. given #631 (H,wt=19): 800 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(129(a,1),737(a,1,1,1)),flip(a)]. given #632 (H,wt=19): 843 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(820(a,1),462(a,1,1)),flip(a)]. given #633 (H,wt=15): 920 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(172,a,843,a,b,xx)]. given #634 (H,wt=19): 848 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(437(a,1),493(a,1,2,1)),flip(a)]. given #635 (H,wt=17): 924 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(17(a,1),848(a,2,2,1))]. given #636 (H,wt=13): 927 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(255,a,398,a(flip),b,924,a(flip)),flip(a)]. given #637 (H,wt=17): 926 T(1 / (x \ 1),y) * (x \ 1) = x \ T(x,y). [hyper(401,a,924,a)]. given #638 (H,wt=19): 855 (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). [hyper(366,a,550,a)]. given #639 (H,wt=19): 857 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(80,a,550,a(flip),b,192,a)]. given #640 (H,wt=19): 859 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(255,a,494,a(flip),b,552,a(flip)),flip(a)]. given #641 (H,wt=19): 860 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(80,a,552,a(flip),b,494,a(flip))]. given #642 (H,wt=19): 861 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(81,a,554,a(flip),b,194,a),flip(a)]. given #643 (H,wt=17): 937 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [para(16(a,1),861(a,2,1,1))]. given #644 (H,wt=13): 940 (1 / x) * T(x,y) = T(x,y) / x. [hyper(255,a,399,a(flip),b,937,a(flip)),flip(a)]. given #645 (H,wt=13): 941 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(81,a,937,a(flip),b,399,a(flip))]. given #646 (H,wt=13): 942 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(80,a,937,a(flip),b,399,a(flip))]. given #647 (H,wt=17): 939 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(624,a,937,a)]. given #648 (H,wt=17): 944 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(172,a,940,a,b,19,a),flip(a)]. given #649 (H,wt=17): 945 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(255,a,274,a(flip),b,940,a(flip))]. given #650 (H,wt=17): 950 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(128(a,1),945(a,1,1)),flip(a)]. given #651 (H,wt=18): 949 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(608,a,944,a)]. given #652 (H,wt=19): 862 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(81,a,555,a(flip),b,193,a)]. given #653 (H,wt=19): 878 x \ ((x / y) * ((y \ 1) * y)) = T(x \ (x / y),y). [hyper(255,a,527,a,b,639,a(flip))]. given #654 (H,wt=19): 880 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(342(a,1),671(a,1,2,1)),flip(a)]. given #655 (H,wt=19): 910 (x * y) \ (x * ((((x * y) * x) / (x * y)) * y)) = x. [hyper(22,a,652,a,b,908,a(flip)),flip(a)]. given #656 (H,wt=19): 913 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [hyper(624,a,706,a),flip(a)]. given #657 (H,wt=19): 915 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(18(a,1),791(a,1,1,2,1,2))]. given #658 (H,wt=19): 922 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(661,a,848,a),flip(a)]. given #659 (H,wt=19): 923 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(87,a,848,a)]. given #660 (H,wt=19): 925 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(19(a,1),848(a,2,2,1))]. given #661 (H,wt=19): 928 (x / y) \ T(x / y,y) = (y \ x) * ((x / y) \ 1). [para(129(a,1),927(a,1,1)),flip(a)]. given #662 (H,wt=17): 960 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [para(129(a,1),928(a,1,2)),flip(a)]. given #663 (H,wt=19): 931 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(19(a,1),857(a,1,2,1)),flip(a)]. given #664 (H,wt=19): 934 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(628,a,861,a),flip(a)]. given #665 (H,wt=19): 935 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(624,a,861,a)]. given #666 (H,wt=19): 936 (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). [hyper(80,a,861,a(flip),b,396,a(flip))]. given #667 (H,wt=19): 938 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(129(a,1),861(a,1,1)),flip(a)]. given #668 (H,wt=19): 946 T(x / y,y) / (x / y) = (1 / (x / y)) * (y \ x). [para(129(a,1),940(a,1,2)),flip(a)]. given #669 (H,wt=17): 968 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [para(129(a,1),946(a,1,1)),flip(a)]. given #670 (H,wt=19): 951 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(255,a,396,a(flip),b,862,a)]. given #671 (H,wt=19): 952 (x / y) * ((y \ 1) * y) = x * T(x \ (x / y),y). [para(878(a,1),19(a,1,2)),flip(a)]. given #672 (H,wt=19): 953 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(255,a,387,a,b,880,a),flip(a)]. given #673 (H,wt=9): 975 T(x,x * K(y,x)) = x. [para(953(a,2),904(a,1,2,2))]. given #674 (H,wt=13): 976 T(x * K(y,x),x) = x * K(y,x). [hyper(40,a,975,a)]. given #675 (H,wt=19): 954 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(80,a,387,a,b,880,a),flip(a)]. given #676 (H,wt=19): 955 x * ((((x * y) * x) / (x * y)) * y) = (x * y) * x. [para(910(a,1),19(a,1,2)),flip(a)]. given #677 (H,wt=17): 980 (((x * y) * x) / (x * y)) * y = T(x * y,x). [hyper(173,a,955,a),flip(a)]. given #678 (H,wt=17): 981 ((x * y) * x) / (x * y) = T(x * y,x) / y. [hyper(96,a,980,a),flip(a)]. given #679 (H,wt=13): 982 T(T(x * y,x) / y,x * y) = x. [para(981(a,1),166(a,1,1))]. given #680 (H,wt=16): 983 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(981(a,1),818(a,1,1))]. given #681 (H,wt=14): 986 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(255,a,129,a(flip),b,983,a(flip)),flip(a)]. given #682 (H,wt=14): 987 x * R(y,x,T(y,x)) = T(y * x,y). [para(983(a,1),171(a,1,2))]. given #683 (H,wt=17): 984 T(T(x,x / y) / y,(x / y) * y) = x / y. [para(21(a,1),982(a,1,1,1,1))]. given #684 (H,wt=13): 988 T(T(x,x / y) / y,x) = x / y. [para(21(a,1),984(a,1,2))]. given #685 (H,wt=15): 989 T(x,x / y) / y = (x * (x / y)) / x. [para(988(a,1),167(a,1,1,2)),flip(a)]. given #686 (H,wt=15): 990 T(x \ T(y,y / x),y) = T(y / x,x). [para(988(a,1),185(a,1,1)),flip(a)]. given #687 (H,wt=13): 993 T(x \ T(y,y / x),y) = x \ y. [hyper(255,a,129,a(flip),b,990,a)]. given #688 (H,wt=15): 991 ((x * (x / y)) / x) * y = T(x,x / y). [para(989(a,1),21(a,1,1))]. given #689 (H,wt=15): 994 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(70(a,1),993(a,1,1,2,2))]. given #690 (H,wt=15): 995 x \ T(y,y / x) = (y * (x \ y)) / y. [para(993(a,1),167(a,1,1,2)),flip(a)]. given #691 (H,wt=15): 996 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(255,a,789,a(flip),b,991,a(flip)),flip(a)]. given #692 (H,wt=17): 998 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(73(a,1),996(a,1,2,1,2))]. given #693 (H,wt=17): 1000 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(167(a,1),998(a,1,2)),flip(a)]. given #694 (H,wt=18): 992 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(989(a,1),226(a,1,1)),flip(b)]. given #695 (H,wt=18): 997 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(995(a,1),220(a,1,2)),flip(b)]. given #696 (H,wt=19): 956 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(189(a,2),913(a,1,1))]. given #697 (H,wt=19): 957 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [para(922(a,1),19(a,1,2)),flip(a)]. given #698 (H,wt=19): 959 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(81,a,925,a(flip),b,396,a)]. given #699 (H,wt=19): 965 (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). [para(21(a,1),936(a,1,2,1,1))]. given #700 (H,wt=19): 967 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(21(a,1),938(a,1,1,1)),flip(a)]. given #701 (H,wt=19): 973 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(951(a,1),21(a,1,1))]. given #702 (H,wt=19): 974 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(189(a,2),952(a,1,2))]. given #703 (H,wt=20): 175 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(127(a,1),29(a,2,1,2)),flip(a)]. given #704 (H,wt=20): 176 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(127(a,1),29(a,2,2,1)),flip(a)]. given #705 (H,wt=20): 268 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(104(a,1),33(a,2,2,2)),flip(a)]. given #706 (H,wt=20): 295 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(191(a,2),33(a,2,1)),flip(a)]. given #707 (H,wt=20): 357 ((x / y) \ x) * z != u | T(u / y,(x / y) \ x) = z. [para(285(a,1),173(a,2))]. given #708 (H,wt=20): 360 T(x,x \ y) \ y != z | T(x \ y,T(x,x \ y)) = z. [para(169(a,1),223(a,1,2))]. given #709 (H,wt=20): 409 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(263(a,1),33(a,2,2,2)),flip(a)]. given #710 (H,wt=20): 426 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(112(a,1),35(a,2,1)),flip(a)]. given #711 (H,wt=20): 428 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(49(a,2),112(a,1,2))]. given #712 (H,wt=20): 429 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(50(a,1),112(a,1,2))]. given #713 (H,wt=20): 433 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(189(a,2),112(a,1,1))]. given #714 (H,wt=20): 453 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(80,a,122,a(flip),b,112,a)]. given #715 (H,wt=20): 460 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(49(a,1),122(a,1,1))]. given #716 (H,wt=20): 461 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(51(a,1),122(a,1,1))]. given #717 (H,wt=20): 465 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(189(a,2),122(a,1,2))]. given #718 (H,wt=20): 477 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(198(a,1),123(a,2,2))]. given #719 (H,wt=20): 485 (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). [para(104(a,1),143(a,1,1,2))]. given #720 (H,wt=20): 487 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(104(a,1),149(a,1,2,1))]. given #721 (H,wt=20): 491 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(80,a,50,a,b,190,a)]. given #722 (H,wt=20): 492 x \ R(L(y,x \ 1,x),z,u) = (x \ 1) * R(y,z,u). [hyper(80,a,49,a,b,190,a)]. given #723 (H,wt=20): 495 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(80,a,50,a,b,192,a)]. given #724 (H,wt=19): 1020 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(339(a,1),495(a,1,2,1))]. given #725 (H,wt=20): 498 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(81,a,49,a(flip),b,193,a)]. given #726 (H,wt=19): 1023 L(x \ 1,y,z) / (x \ 1) = L(1 / x,y,z) * x. [para(348(a,1),498(a,1,1,1))]. given #727 (H,wt=18): 1025 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [hyper(255,a,762,a(flip),b,1023,a)]. given #728 (H,wt=17): 1028 ((x * y) \ x) / (y \ 1) = y * ((x * y) \ x). [para(162(a,1),1025(a,1,1))]. given #729 (H,wt=17): 1029 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [para(1028(a,1),21(a,1,1))]. given #730 (H,wt=18): 1026 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(1025(a,1),21(a,1,1))]. given #731 (H,wt=18): 1027 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [para(1025(a,1),73(a,1,1))]. given #732 (H,wt=20): 501 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(81,a,51,a,b,194,a)]. given #733 (H,wt=20): 502 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(81,a,49,a(flip),b,194,a)]. given #734 (H,wt=19): 1037 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(725(a,1),502(a,1,1,1))]. given #735 (H,wt=19): 1038 T(L(x,y,z),1 / x) / x = L(x,y,z) * (1 / x). [para(45(a,1),1037(a,1,1))]. given #736 (H,wt=15): 1039 (1 / x) \ (L(x,y,z) / x) = L(x,y,z). [hyper(23,a,967,a,b,1038,a(flip)),flip(a)]. given #737 (H,wt=15): 1040 (1 / x) * L(x,y,z) = L(x,y,z) / x. [para(1039(a,1),19(a,1,2))]. given #738 (H,wt=15): 1041 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [para(1039(a,1),70(a,1,2))]. given #739 (H,wt=20): 506 L(R(x \ (y \ z),u,w),x,y) = R((y * x) \ z,u,w). [para(241(a,1),49(a,1,1)),flip(a)]. given #740 (H,wt=20): 507 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(241(a,1),50(a,1,1)),flip(a)]. given #741 (H,wt=20): 551 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(436(a,1),49(a,1,1)),flip(a)]. given #742 (H,wt=20): 556 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(472(a,1),51(a,1,1)),flip(a)]. given #743 (H,wt=20): 561 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(127(a,1),547(a,1,2,2)),flip(a)]. given #744 (H,wt=20): 635 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(127(a,1),100(a,1,1,2))]. given #745 (H,wt=20): 638 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(127(a,1),113(a,1,2,2)),flip(a)]. given #746 (H,wt=20): 667 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(392(a,1),45(a,2,1))]. given #747 (H,wt=20): 677 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(439(a,1),45(a,2,1))]. given #748 (H,wt=20): 682 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(474(a,1),47(a,2,1))]. given #749 (H,wt=20): 685 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(474(a,1),187(a,1,1)),flip(a)]. given #750 (H,wt=20): 698 (1 / x) * K(x \ 1,x) != y * z | y \ (x \ 1) = z. [para(692(a,1),368(a,1,2))]. given #751 (H,wt=20): 704 T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). [para(588(a,1),185(a,1,1))]. given #752 (H,wt=20): 760 (1 / x) \ T(1 / x,y) != z | x * T(x \ 1,y) = z. [para(372(a,1),497(a,1,2))]. given #753 (H,wt=20): 768 L((x * (y \ 1)) / x,y,z) = (x * ((z * y) \ z)) / x. [hyper(81,a,340,a(flip),b,571,a),flip(a)]. given #754 (H,wt=20): 770 x * L(y,z,u) != w * x | L((x * y) / x,z,u) = w. [para(571(a,1),25(a,1))]. given #755 (H,wt=20): 776 (((x * y) / x) * z) * (z \ x) = x * R(y,z,z \ x). [hyper(255,a,311,a(flip),b,580,a(flip)),flip(a)]. given #756 (H,wt=20): 777 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(81,a,580,a(flip),b,311,a(flip))]. given #757 (H,wt=20): 780 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(585(a,1),226(a,1,1)),flip(b)]. given #758 (H,wt=20): 788 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(586(a,1),226(a,1,1)),flip(b)]. given #759 (H,wt=20): 801 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(767(a,2),226(a,1,1)),flip(b)]. given #760 (H,wt=20): 807 R((x * y) / x,z,u) * x != w | x * R(y,z,u) = w. [para(775(a,2),226(a,1,1)),flip(b)]. given #761 (H,wt=20): 808 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(163(a,1),775(a,2,1,2))]. given #762 (H,wt=20): 830 T(x \ 1,y) / (x \ 1) != z | T(1 / x,y) * x = z. [para(793(a,2),401(a,1))]. given #763 (H,wt=20): 874 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(665(a,2),624(a,1))]. given #764 (H,wt=20): 889 x * (y * x) != x * z | T(y * T(x,y * x),x) = z. [para(885(a,1),173(a,2)),flip(a)]. given #765 (H,wt=20): 898 (x * y) / x != T(x,y) * z | T(y / x,T(x,y)) = z. [para(894(a,1),173(a,2)),flip(a)]. given #766 (H,wt=20): 899 T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z. [para(894(a,1),223(a,1,2))]. given #767 (H,wt=20): 905 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(21(a,1),782(a,2,1,2,1))]. given #768 (H,wt=20): 918 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(123(a,1),800(a,1,1,1))]. given #769 (H,wt=20): 919 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(476(a,1),800(a,1,1)),flip(a)]. given #770 (H,wt=18): 1060 R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). [para(16(a,1),919(a,2,1,2))]. given #771 (H,wt=20): 929 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(927(a,1),178(a,1,2,2))]. given #772 (H,wt=20): 943 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(937(a,1),624(a,1))]. given #773 (H,wt=20): 947 T(x,y) / x != T(x,y) * z | T(1 / x,T(x,y)) = z. [para(940(a,1),173(a,2)),flip(a)]. given #774 (H,wt=20): 962 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(960(a,1),24(a,1))]. given #775 (H,wt=20): 978 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(162(a,2),954(a,1,1,1))]. given #776 (H,wt=20): 999 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(782(a,2),996(a,1,2))]. given #777 (H,wt=17): 1063 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(224,a,999,a)]. given #778 (H,wt=20): 1009 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(255,a,97,a(flip),b,433,a)]. given #779 (H,wt=20): 1042 L(x,y,z) \ (L(x,y,z) / x) = T(1 / x,L(x,y,z)). [hyper(172,a,1040,a,b,19,a),flip(a)]. given #780 (H,wt=20): 1061 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(18(a,1),919(a,1,1,1)),flip(a)]. given #781 (H,wt=21): 373 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(341(a,1),33(a,2,2,2))]. given #782 (H,wt=21): 405 T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). [para(128(a,1),202(a,1,1))]. given #783 (H,wt=21): 478 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(163(a,2),123(a,1,1))]. given #784 (H,wt=21): 510 R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w. [para(35(a,2),296(a,1,1))]. given #785 (H,wt=21): 512 (x * y) \ (x * (y * z)) != u * w | u \ L(z,y,x) = w. [para(143(a,1),296(a,1,1))]. given #786 (H,wt=21): 513 (x * y) * L(z,y,x) != u * w | (x * (y * z)) / w = u. [para(33(a,2),297(a,1,2))]. given #787 (H,wt=21): 515 R(x,y,z) * (y * z) != u * w | u \ ((x * y) * z) = w. [para(35(a,2),299(a,1,1))]. given #788 (H,wt=21): 518 (x * y) * L(z,y,x) != u * w | u \ (x * (y * z)) = w. [para(143(a,1),299(a,1,1))]. given #789 (H,wt=21): 521 ((x * y) * z) / (y * z) != u * w | R(x,y,z) / w = u. [para(122(a,1),307(a,1,1))]. given #790 (H,wt=21): 529 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(350(a,2),123(a,1,1))]. given #791 (H,wt=21): 538 (x * y) * (y \ 1) != z * u | z \ R(x,y,y \ 1) = u. [para(385(a,1),299(a,1,1))]. given #792 (H,wt=21): 541 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(122(a,1),416(a,1,2))]. given #793 (H,wt=21): 569 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(47(a,2),183(a,1,2,1))]. given #794 (H,wt=20): 1068 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(545(a,1),569(a,1,2))]. given #795 (H,wt=21): 572 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(128(a,1),183(a,1,2,1))]. given #796 (H,wt=21): 581 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(128(a,1),184(a,1,2,1))]. given #797 (H,wt=17): 1069 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(22,a,184,a,b,581,a),flip(a)]. given #798 (H,wt=21): 582 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(188(a,1),184(a,1,2,1)),flip(a)]. given #799 (H,wt=21): 595 ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). [hyper(225,a,273,a),flip(a)]. given #800 (H,wt=21): 609 K(x \ 1,x) \ (x \ 1) != y | L(x \ 1,x,x \ 1) = y. [para(189(a,2),374(a,1,1))]. given #801 (H,wt=21): 612 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(191(a,2),380(a,1,2))]. given #802 (H,wt=21): 650 L(T(x,y \ 1),y \ 1,y) != z | y * (x * (y \ 1)) = z. [para(179(a,1),227(a,1)),flip(b)]. given #803 (H,wt=21): 656 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(344(a,2),112(a,1,2))]. given #804 (H,wt=21): 659 T(x / (y * x),z) * (y * x) = (T(1 / y,z) * y) * x. [para(352(a,2),122(a,1,1))]. given #805 (H,wt=21): 702 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(544(a,1),112(a,1,2))]. given #806 (H,wt=17): 1073 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(361,a,702,a),flip(a)]. given #807 (H,wt=15): 1074 T(x,y) * (x * z) = x * (T(x,y) * z). [para(182(a,1),1073(a,1,2)),flip(a)]. given #808 (H,wt=13): 1083 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(80,a,64,a(flip),b,1074,a),flip(a)]. given #809 (H,wt=13): 1090 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(96,a,1083,a)]. given #810 (H,wt=13): 1091 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(87,a,1083,a)]. given #811 (H,wt=15): 1075 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(533,a,1074,a)]. given #812 (H,wt=15): 1076 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(530,a,1074,a),flip(a)]. given #813 (H,wt=15): 1077 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(514,a,1074,a)]. given #814 (H,wt=15): 1078 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(310,a,1074,a),flip(a)]. given #815 (H,wt=15): 1079 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(255,a,97,a(flip),b,1074,a)]. given #816 (H,wt=13): 1100 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(355,a,1079,a),flip(a)]. given #817 (H,wt=15): 1081 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(80,a,97,a(flip),b,1074,a)]. given #818 (H,wt=15): 1082 x * (T(x,y) \ (x \ z)) = T(x,y) \ z. [hyper(80,a,66,a(flip),b,1074,a),flip(a)]. given #819 (H,wt=15): 1098 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(87,a,1076,a)]. given #820 (H,wt=16): 1093 x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z. [para(1083(a,1),222(a,1,2)),flip(b)]. given #821 (H,wt=17): 1086 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(127(a,1),1074(a,1,2)),flip(a)]. given #822 (H,wt=17): 1097 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(1090(a,1),959(a,2,1))]. given #823 (H,wt=17): 1104 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(129(a,1),1100(a,1,2,1))]. given #824 (H,wt=15): 1112 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(129(a,1),1104(a,2,2))]. given #825 (H,wt=17): 1108 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(172,a,724,a,b,1086,a)]. given #826 (H,wt=17): 1111 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(1097(a,1),21(a,1,1))]. given #827 (H,wt=17): 1113 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(18(a,1),1112(a,1,2,1))]. given #828 (H,wt=13): 1115 T(x,y) = ((x * y) / x) * (y \ x). [para(18(a,1),1113(a,2,2)),flip(a)]. given #829 (H,wt=13): 1116 T(x,y) / (y \ x) = (x * y) / x. [hyper(81,a,1115,a,b,xx)]. given #830 (H,wt=13): 1117 ((x * y) / x) \ T(x,y) = y \ x. [hyper(80,a,1115,a,b,xx)]. given #831 (H,wt=16): 1119 T(x,y) / (y \ x) != z | (x * y) / x = z. [para(1115(a,2),304(a,1,1)),flip(b)]. given #832 (H,wt=17): 1118 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(21(a,1),1115(a,2,1,1)),flip(a)]. given #833 (H,wt=18): 1085 T(x,y) * (x * z) != x * u | T(x,y) * z = u. [para(1074(a,2),24(a,1))]. given #834 (H,wt=18): 1099 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(1077(a,1),89(a,1,1)),flip(a),flip(b)]. given #835 (H,wt=18): 1103 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(1079(a,1),222(a,1,2)),flip(b)]. given #836 (H,wt=16): 1126 T(x,y) \ x != z | x * (T(x,y) \ 1) = z. [para(17(a,1),1103(a,1,2))]. given #837 (H,wt=18): 1106 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(1098(a,2),220(a,1,2)),flip(b)]. given #838 (H,wt=18): 1127 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(18(a,1),1106(a,1,2,2))]. given #839 (H,wt=16): 1129 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(1100(a,1),1127(a,1))]. given #840 (H,wt=19): 1084 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(21(a,1),1074(a,1,2)),flip(a)]. given #841 (H,wt=19): 1089 (T(x,y) \ 1) \ (T(x,y) \ x) = T(x,T(x,y) \ 1). [hyper(172,a,1083,a,b,19,a),flip(a)]. given #842 (H,wt=19): 1092 T(x / y,y) \ (x / y) = (x / y) * ((y \ x) \ 1). [para(129(a,1),1083(a,1,2,1)),flip(a)]. given #843 (H,wt=17): 1131 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [para(129(a,1),1092(a,1,1)),flip(a)]. given #844 (H,wt=15): 1132 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(255,a,950,a(flip),b,1131,a(flip)),flip(a)]. given #845 (H,wt=19): 1102 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(22,a,264,a,b,1079,a)]. given #846 (H,wt=17): 1135 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(944(a,1),1102(a,1,2))]. given #847 (H,wt=19): 1105 T(x,x \ y) \ (x * z) = x * (((x \ y) \ y) \ z). [para(128(a,1),1081(a,2,2,1))]. given #848 (H,wt=19): 1122 T(x * y,y) / T(x,y) = ((x * y) * y) / (x * y). [para(37(a,2),1116(a,1,2))]. given #849 (H,wt=19): 1125 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(81,a,166,a(flip),b,1118,a),flip(a)]. given #850 (H,wt=19): 1130 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(396(a,1),1084(a,1,2))]. given #851 (H,wt=20): 1095 L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). [para(1083(a,1),192(a,1,2)),flip(a)]. given #852 (H,wt=20): 1110 T(x,y) * (z * x) != x * u | T(x,y) * T(z,x) = u. [para(1086(a,1),24(a,1))]. given #853 (H,wt=20): 1123 ((x * y) / x) * (y \ x) != z * u | z \ T(x,y) = u. [para(1116(a,1),299(a,1,1))]. given #854 (H,wt=20): 1124 ((x * y) / x) * (y \ x) != z * u | T(x,y) / u = z. [para(1116(a,1),369(a,1,1))]. given #855 (H,wt=20): 1128 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(1100(a,1),1106(a,1))]. given #856 (H,wt=21): 705 T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. [para(589(a,1),122(a,1,1))]. given #857 (H,wt=21): 738 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(45(a,1),224(a,1,2))]. given #858 (H,wt=21): 740 (x * y) * L(z,T(x,y),y) != u | y * (T(x,y) * z) = u. [para(127(a,1),224(a,1,1))]. given #859 (H,wt=21): 744 T(R(x,y,z),u) * (y * z) != w | (T(x,u) * y) * z = w. [para(47(a,1),230(a,1,1))]. given #860 (H,wt=21): 747 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(127(a,1),230(a,1,2))]. given #861 (H,wt=21): 750 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(127(a,1),431(a,1,1))]. given #862 (H,wt=21): 755 (x * y) * T(z,y) != u * (z * y) | R(x,y,T(z,y)) = u. [para(127(a,1),454(a,2,2))]. given #863 (H,wt=21): 779 ((x / y) * L(y,z,u)) / (x / y) = L(x / (x / y),z,u). [para(73(a,1),585(a,1,1,2,1))]. given #864 (H,wt=21): 787 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(73(a,1),586(a,1,1,2,1))]. given #865 (H,wt=21): 815 T(x * T(x \ 1,y),x \ 1) = (x \ 1) \ T(x \ 1,y). [para(793(a,1),129(a,1,1))]. given #866 (H,wt=21): 817 R(x,y,(x * y) \ z) \ z != u | y * ((x * y) \ z) = u. [para(121(a,2),219(a,1,1)),flip(b)]. given #867 (H,wt=21): 822 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(255,a,114,a(flip),b,346,a)]. given #868 (H,wt=21): 828 x * ((x \ y) * T(z,y)) != u | L(z,x \ y,x) * y = u. [para(418(a,1),362(a,1))]. given #869 (H,wt=21): 833 x * (y * T(y \ T(y,x),z)) = (x * y) * T(K(y,x),z). [para(666(a,2),427(a,1,2,1)),flip(a)]. given #870 (H,wt=21): 851 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(527(a,2),419(a,1,2)),flip(a)]. given #871 (H,wt=21): 852 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(528(a,2),311(a,1,1))]. given #872 (H,wt=21): 863 L(x,x \ y,x) * (x \ y) != (x \ y) * z | T(x,y) = z. [para(559(a,2),24(a,1))]. given #873 (H,wt=21): 865 L(x,x \ y,x) * (x \ y) != z | (x \ y) * T(x,y) = z. [para(562(a,1),226(a,1,1)),flip(b)]. given #874 (H,wt=21): 866 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(162(a,1),565(a,2,1)),flip(a)]. given #875 (H,wt=19): 1142 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(408,a,866,a)]. given #876 (H,wt=19): 1143 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(81,a,1142,a,b,396,a)]. given #877 (H,wt=21): 868 (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. [para(573(a,1),24(a,1)),flip(a)]. given #878 (H,wt=21): 870 T(x / y,y / x) * y = (((y / x) \ 1) * (y / x)) * x. [para(591(a,1),300(a,1,1))]. given #879 (H,wt=21): 879 L(x,y,z) * y != y * u | (z * y) \ (z * (x * y)) = u. [para(652(a,1),24(a,1))]. given #880 (H,wt=21): 881 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [para(439(a,1),671(a,1,2,1)),flip(a)]. given #881 (H,wt=21): 883 x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). [para(440(a,1),712(a,1,1)),flip(a)]. given #882 (H,wt=21): 909 (x \ (y * (z \ x))) * x = (T(y / z,x) * z) * (z \ x). [para(882(a,1),311(a,1,1))]. given #883 (H,wt=21): 961 ((x * y) / x) \ (x \ (x * y)) = y * (((x * y) / x) \ 1). [para(18(a,1),960(a,1,1)),flip(a)]. given #884 (H,wt=17): 1146 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [para(18(a,1),961(a,1,2)),flip(a)]. given #885 (H,wt=17): 1147 x \ (((y * x) / y) \ x) = ((y * x) / y) \ 1. [hyper(87,a,1146,a)]. given #886 (H,wt=21): 969 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(172,a,968,a,b,19,a),flip(a)]. given #887 (H,wt=21): 970 ((x / y) \ x) / (x / (x / y)) = (1 / (x / (x / y))) * y. [para(73(a,1),968(a,1,2)),flip(a)]. given #888 (H,wt=17): 1149 (1 / (x / (x / y))) * y = y / (x / (x / y)). [para(73(a,1),970(a,1,1)),flip(a)]. given #889 (H,wt=21): 1006 x * (T(y,x) * L(z,x,y)) = y * (x * L(z,T(y,x),x)). [hyper(255,a,430,a(flip),b,429,a(flip)),flip(a)]. given #890 (H,wt=21): 1017 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(437(a,1),491(a,1,2,1)),flip(a)]. given #891 (H,wt=19): 1150 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(17(a,1),1017(a,2,2,1))]. given #892 (H,wt=15): 1153 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(255,a,572,a(flip),b,1150,a(flip)),flip(a)]. given #893 (H,wt=15): 1154 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(80,a,1150,a(flip),b,572,a(flip))]. given #894 (H,wt=21): 1018 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(437(a,1),492(a,1,2,1)),flip(a)]. given #895 (H,wt=19): 1158 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(17(a,1),1018(a,2,2,1))]. given #896 (H,wt=15): 1159 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(255,a,581,a(flip),b,1158,a(flip)),flip(a)]. given #897 (H,wt=15): 1160 (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). [hyper(81,a,1158,a(flip),b,581,a(flip))]. given #898 (H,wt=15): 1161 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(80,a,1158,a(flip),b,581,a(flip))]. given #899 (H,wt=19): 1162 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(81,a,1159,a(flip),b,184,a)]. given #900 (H,wt=21): 1021 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(436(a,1),495(a,1,2,1))]. given #901 (H,wt=21): 1022 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(662(a,1),495(a,1,2,1))]. given #902 (H,wt=19): 1168 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(255,a,183,a(flip),b,1022,a)]. given #903 (H,wt=21): 1024 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(472(a,1),498(a,1,1,1))]. given #904 (H,wt=21): 1035 R(1 / (1 / x),y,z) * (1 / x) = R(x / 1,y,z) / x. [para(351(a,1),501(a,1,1,1)),flip(a)]. given #905 (H,wt=19): 1171 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [para(68(a,1),1035(a,2,1,1))]. given #906 (H,wt=15): 1173 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(255,a,582,a(flip),b,1171,a(flip)),flip(a)]. given #907 (H,wt=19): 1172 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(788,a,1171,a)]. given #908 (H,wt=19): 1174 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [hyper(302,a,1173,a),flip(a)]. given #909 (H,wt=20): 1175 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(172,a,1173,a,b,19,a),flip(a)]. given #910 (H,wt=21): 1050 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(366,a,551,a)]. given #911 (H,wt=19): 1179 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(17(a,1),1050(a,2,1))]. given #912 (H,wt=18): 1184 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(593(a,2),1179(a,1,2))]. given #913 (H,wt=17): 1185 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(255,a,163,a(flip),b,1184,a)]. given #914 (H,wt=19): 1180 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(87,a,1179,a)]. given #915 (H,wt=19): 1182 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(22,a,644,a,b,1179,a)]. given #916 (H,wt=21): 1056 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(350(a,1),777(a,1,1,2))]. given #917 (H,wt=21): 1062 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(978(a,2),377(a,1,2)),flip(a)]. given #918 (H,wt=21): 1072 (x * y) * T((x * y) \ y,z) = (T(1 / x,z) * x) * y. [hyper(624,a,659,a)]. given #919 (H,wt=21): 1087 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(129(a,1),1074(a,1,1)),flip(a)]. given #920 (H,wt=19): 1191 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(129(a,1),1087(a,1,2,1))]. given #921 (H,wt=19): 1193 (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). [hyper(533,a,1191,a)]. given #922 (H,wt=21): 1133 (x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1). [para(18(a,1),1131(a,1,2,1)),flip(a)]. given #923 (H,wt=17): 1194 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [para(18(a,1),1133(a,1,1)),flip(a)]. given #924 (H,wt=21): 1134 ((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1). [para(73(a,1),1131(a,1,2,1)),flip(a)]. given #925 (H,wt=17): 1195 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [para(73(a,1),1134(a,1,1)),flip(a)]. given #926 (H,wt=15): 1196 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(255,a,968,a(flip),b,1195,a(flip)),flip(a)]. given #927 (H,wt=21): 1138 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(624,a,705,a)]. given #928 (H,wt=19): 1197 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [hyper(255,a,656,a(flip),b,1138,a(flip))]. given #929 (H,wt=21): 1140 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(87,a,851,a)]. given #930 (H,wt=15): 1200 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(669,a,1140,a)]. given #931 (H,wt=15): 1201 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(80,a,388,a(flip),b,1140,a(flip))]. given #932 (H,wt=15): 1203 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(255,a,939,a(flip),b,1200,a)]. given #933 (H,wt=15): 1204 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(255,a,924,a(flip),b,1200,a)]. given #934 (H,wt=15): 1205 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(81,a,1200,a,b,396,a)]. given #935 (H,wt=15): 1210 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(1203(a,2),21(a,1,1)),flip(a)]. given #936 (H,wt=18): 1202 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(1140(a,1),669(a,1))]. given #937 (H,wt=18): 1216 x \ T(x,y) != z | K(y \ (y / (x \ 1)),y) = z. [para(924(a,1),1202(a,1))]. given #938 (H,wt=19): 1213 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(129(a,1),1204(a,2,2))]. given #939 (H,wt=21): 1141 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(624,a,852,a),flip(a)]. given #940 (H,wt=21): 1144 (((x / y) \ 1) * (x / y)) * y = x * T(x \ y,x / y). [hyper(624,a,870,a),flip(a)]. given #941 (H,wt=21): 1145 (x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x). [para(396(a,1),909(a,2,1))]. given #942 (H,wt=19): 1221 (x \ (y \ x)) * x = (y * T(y \ 1,x)) * (y \ x). [para(16(a,1),1145(a,1,1,2))]. given #943 (H,wt=19): 1222 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [hyper(172,a,1221,a(flip),b,263,a)]. given #944 (H,wt=21): 1167 x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). [para(19(a,1),1021(a,1,2,1)),flip(a)]. given #945 (H,wt=21): 1170 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(255,a,570,a(flip),b,1024,a)]. given #946 (H,wt=21): 1189 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(255,a,789,a(flip),b,1056,a)]. given #947 (H,wt=21): 1190 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(396(a,1),1072(a,2,1))]. given #948 (H,wt=11): 1227 T(x,x * T(x \ 1,y)) = x. [hyper(172,a,656,a(flip),b,1190,a(flip))]. given #949 (H,wt=9): 1228 T(x,(x \ 1) * x) = x. [para(127(a,1),1227(a,1,2))]. given #950 (H,wt=9): 1229 T(x,K(x \ 1,x)) = x. [para(289(a,1),1227(a,1,2))]. given #951 (H,wt=12): 1234 R(x,x \ 1,x) = T(x,x \ 1). [para(1228(a,1),718(a,1,1))]. given #952 (H,wt=12): 1236 R(x,x \ 1,x) = (x \ 1) \ 1. [hyper(255,a,128,a(flip),b,1234,a)]. given #953 (H,wt=13): 1232 T(x \ 1,x \ T(x,y)) = x \ 1. [para(924(a,1),1227(a,1,2))]. given #954 (H,wt=13): 1233 T(1 / x,T(x,y) / x) = 1 / x. [para(939(a,1),1227(a,1,2))]. given #955 (H,wt=13): 1237 T(x,x \ 1) \ x = (x \ 1) * x. [para(1234(a,1),379(a,1,1))]. given #956 (H,wt=13): 1238 ((x \ 1) \ 1) \ x = (x \ 1) * x. [para(1236(a,1),379(a,1,1))]. given #957 (H,wt=13): 1242 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(172,a,1237,a(flip),b,1083,a),flip(a)]. given #958 (H,wt=13): 1244 ((x \ 1) \ 1) \ x = K(x \ 1,x). [hyper(255,a,189,a,b,1238,a)]. given #959 (H,wt=13): 1247 1 / T(x \ 1,x) = T(x,x \ 1). [para(1242(a,1),70(a,1,2))]. given #960 (H,wt=13): 1248 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(128(a,1),1242(a,1,1)),flip(a)]. given #961 (H,wt=13): 1250 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1244(a,1),19(a,1,2))]. given #962 (H,wt=15): 1231 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(398(a,1),1227(a,1,2))]. given #963 (H,wt=15): 1235 K(x \ 1,x) * x = x * K(x \ 1,x). [para(1229(a,1),127(a,1,2))]. given #964 (H,wt=15): 1239 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(40,a,1232,a)]. given #965 (H,wt=15): 1246 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [hyper(360,a,1242,a)]. given #966 (H,wt=15): 1249 T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. [para(564(a,1),1242(a,1,1)),flip(a)]. given #967 (H,wt=11): 1256 T(x,1 / x) = (x \ 1) \ 1. [para(73(a,1),1249(a,1,1))]. given #968 (H,wt=11): 1257 T(x,1 / x) = T(x,x \ 1). [hyper(255,a,128,a,b,1256,a)]. given #969 (H,wt=12): 1258 R(x,1 / x,x) = (x \ 1) \ 1. [hyper(255,a,725,a,b,1256,a(flip)),flip(a)]. given #970 (H,wt=13): 1260 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1256(a,1),726(a,1,1))]. given #971 (H,wt=13): 1265 T(x,x \ 1) / x = K(x,1 / x). [para(1257(a,1),726(a,1,1))]. given #972 (H,wt=13): 1268 K(x,1 / x) * x = (x \ 1) \ 1. [hyper(255,a,503,a,b,1258,a(flip)),flip(a)]. given #973 (H,wt=13): 1269 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(255,a,1132,a(flip),b,1260,a(flip)),flip(a)]. given #974 (H,wt=13): 1271 (x \ 1) * K(x,1 / x) = 1 / x. [para(1269(a,1),19(a,1,2))]. given #975 (H,wt=13): 1272 (1 / x) / K(x,1 / x) = x \ 1. [para(1269(a,1),70(a,1,2))]. given #976 (H,wt=12): 1273 R(1 / x,x,1 / x) = x \ 1. [hyper(612,a,1272,a)]. given #977 (H,wt=14): 1261 a(x,1 / x,x) = x \ ((x \ 1) \ 1). [para(1256(a,1),728(a,1,2)),flip(a)]. given #978 (H,wt=14): 1266 x \ T(x,x \ 1) = a(x,1 / x,x). [para(1257(a,1),728(a,1,2))]. given #979 (H,wt=15): 1251 T(x \ 1,(x \ 1) \ 1) = T(x \ 1,x). [hyper(255,a,128,a,b,1248,a),flip(a)]. given #980 (H,wt=15): 1259 ((1 / x) * ((x \ 1) \ 1)) / (1 / x) = x. [para(1256(a,1),167(a,1,1,2))]. given #981 (H,wt=16): 1245 ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. [para(1238(a,2),315(a,1))]. given #982 (H,wt=17): 1252 T((x \ 1) \ 1,x \ 1) = T(x \ 1,x) \ 1. [para(1248(a,2),1248(a,2,1))]. given #983 (H,wt=17): 1270 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(73(a,1),1260(a,1,1,1)),flip(a)]. given #984 (H,wt=17): 1274 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1273(a,1),353(a,1,1)),flip(a)]. given #985 (H,wt=18): 1243 T(x,x \ 1) \ x != x * y | T(x \ 1,x) = y. [para(1237(a,2),173(a,2)),flip(a)]. given #986 (H,wt=18): 1253 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1231(a,1),718(a,1,1))]. given #987 (H,wt=18): 1254 (x * K(x \ 1,x)) / (x * x) = R(x \ 1,x,x). [para(1235(a,1),293(a,1,1))]. given #988 (H,wt=18): 1263 L(T(x,x \ 1),1 / x,x) = T(x,x * (1 / x)). [para(1257(a,1),542(a,1,1))]. given #989 (H,wt=18): 1267 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1257(a,1),727(a,2,1))]. given #990 (H,wt=18): 1276 L(T(x,x \ 1),1 / x,x) = T(x,K(x,1 / x)). [para(191(a,2),1263(a,2,2))]. given #991 (H,wt=19): 1240 (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). [para(1232(a,1),127(a,1,2))]. given #992 (H,wt=19): 1262 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1256(a,1),1037(a,1,1,1))]. given #993 (H,wt=19): 1264 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1257(a,1),404(a,1,1,2))]. given #994 (H,wt=19): 1280 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(620,a,1264,a),flip(a)]. given #995 (H,wt=20): 1255 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1239(a,1),667(a,1,1)),flip(a)]. given #996 (H,wt=15): 1282 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(255,a,666,a,b,1255,a),flip(a)]. given #997 (H,wt=11): 1283 T(K(x,y),x \ 1) = K(x,y). [para(31(a,2),1282(a,2,1)),flip(a)]. given #998 (H,wt=11): 1284 T(x \ 1,K(x,y)) = x \ 1. [hyper(40,a,1283,a)]. given #999 (H,wt=15): 1285 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [para(1283(a,1),127(a,1,2)),flip(a)]. given #1000 (H,wt=16): 1287 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(1284(a,1),344(a,2,1))]. given #1001 (H,wt=18): 1286 (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. [para(1283(a,1),225(a,1,2))]. given #1002 (H,wt=21): 1206 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(944(a,1),1200(a,1,1))]. given #1003 (H,wt=21): 1212 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(969(a,1),1203(a,1,1))]. given #1004 (H,wt=21): 1214 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(166(a,1),1204(a,2,2))]. given #1005 (H,wt=21): 1218 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(396(a,1),1141(a,1,1))]. given #1006 (H,wt=21): 1220 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(189(a,2),1144(a,1,1))]. given #1007 (H,wt=21): 1225 L(x \ ((1 / x) \ y),z,u) = x \ ((1 / x) \ L(y,z,u)). [hyper(87,a,1167,a),flip(a)]. given #1008 (H,wt=21): 1241 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1233(a,1),404(a,1,1,2)),flip(a)]. given #1009 (H,wt=21): 1279 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1262(a,1),129(a,1,1))]. given #1010 (H,wt=21): 1281 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(167(a,1),1280(a,1,1)),flip(a)]. given #1011 (H,wt=15): 1294 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(167(a,1),1281(a,1,1)),flip(a)]. given #1012 (H,wt=21): 1288 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1284(a,1),398(a,1,2)),flip(a)]. given #1013 (H,wt=13): 1295 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(255,a,19,a(flip),b,1288,a)]. given #1014 (H,wt=9): 1297 T(x,K(x \ 1,y)) = x. [hyper(94,a,1295,a)]. given #1015 (H,wt=11): 1298 T(1 / x,K(x,y)) = 1 / x. [para(73(a,1),1297(a,1,2,1))]. given #1016 (H,wt=15): 1299 K(x \ 1,y) * x = x * K(x \ 1,y). [para(1297(a,1),127(a,1,2))]. given #1017 (H,wt=22): 267 (x * y) \ ((y * x) * (K(x,y) * z)) = L(z,K(x,y),y * x). [para(104(a,1),33(a,2,1)),flip(a)]. given #1018 (H,wt=22): 292 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(189(a,2),29(a,2,1,2)),flip(a)]. given #1019 (H,wt=22): 444 L(K(x,y) \ z,K(x,y),y * x) = (x * y) \ ((y * x) * z). [para(104(a,1),114(a,2,1))]. given #1020 (H,wt=22): 464 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(104(a,1),122(a,1,2))]. given #1021 (H,wt=22): 583 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(542(a,2),184(a,1,2,1))]. given #1022 (H,wt=19): 1301 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(255,a,428,a(flip),b,583,a(flip)),flip(a)]. given #1023 (H,wt=17): 1302 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(184(a,1),1301(a,1,2)),flip(a)]. given #1024 (H,wt=15): 1308 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(80,a,64,a(flip),b,1302,a),flip(a)]. given #1025 (H,wt=17): 1303 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(533,a,1302,a)]. given #1026 (H,wt=17): 1304 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(514,a,1302,a)]. given #1027 (H,wt=17): 1305 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(310,a,1302,a),flip(a)]. given #1028 (H,wt=16): 1317 R(x,y,x) * (x \ (y * x)) = T(x * y,x). [hyper(172,a,122,a(flip),b,1305,a),flip(a)]. given #1029 (H,wt=14): 1318 R(x,y,x) * T(y,x) = T(x * y,x). [para(37(a,2),1317(a,1,2))]. given #1030 (H,wt=14): 1319 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(87,a,1318,a)]. given #1031 (H,wt=17): 1306 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(87,a,1302,a)]. given #1032 (H,wt=17): 1307 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(80,a,97,a(flip),b,1302,a)]. given #1033 (H,wt=18): 1315 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(122(a,1),1303(a,1,2)),flip(a)]. given #1034 (H,wt=18): 1320 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(96,a,1315,a),flip(a)]. given #1035 (H,wt=19): 1310 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(127(a,1),1302(a,1,2)),flip(a)]. given #1036 (H,wt=20): 1316 x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. [para(1304(a,1),219(a,1,1)),flip(b)]. given #1037 (H,wt=22): 604 (x / T(y,y \ z)) * ((y \ z) \ z) != u * w | x / w = u. [para(274(a,1),369(a,1))]. given #1038 (H,wt=22): 606 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(276(a,1),225(a,1,2))]. given #1039 (H,wt=16): 1321 x \ T(x,y) != z | T(x,y) * (x \ 1) = z. [para(924(a,1),606(a,1))]. given #1040 (H,wt=22): 625 T(x / y,z) * y != u * w | (y * T(y \ x,z)) / w = u. [para(400(a,1),369(a,1,1))]. given #1041 (H,wt=22): 630 ((x \ y) \ y) * z != u * w | u \ (T(x,x \ y) * z) = w. [para(596(a,1),368(a,1,2))]. given #1042 (H,wt=22): 631 x * ((y \ z) \ z) != u * w | (x * T(y,y \ z)) / w = u. [para(602(a,1),369(a,1,1))]. given #1043 (H,wt=22): 637 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(122(a,1),100(a,1,1))]. given #1044 (H,wt=22): 654 L(R(x,y / z,z),u,w) * y = (L(x,u,w) * (y / z)) * z. [para(49(a,1),300(a,1,1))]. given #1045 (H,wt=22): 655 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(49(a,1),311(a,1,1))]. given #1046 (H,wt=22): 660 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(128(a,1),358(a,1,2))]. given #1047 (H,wt=22): 664 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(173,a,376,a),flip(a)]. given #1048 (H,wt=22): 673 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(50(a,1),418(a,1,2))]. given #1049 (H,wt=22): 678 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(439(a,1),49(a,1,1)),flip(a)]. given #1050 (H,wt=22): 679 R(x,T(y,x),(y * x) \ z) \ z = T(y,x) * ((y * x) \ z). [para(144(a,1),450(a,1,1,1))]. given #1051 (H,wt=22): 683 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(474(a,1),51(a,1,1)),flip(a)]. given #1052 (H,wt=22): 695 K(x \ 1,x) * y != x \ 1 | T(1 / x,K(x \ 1,x)) = y. [para(691(a,1),173(a,2))]. given #1053 (H,wt=22): 697 (x * (y \ 1)) / L(K(y \ 1,y),1 / y,x) = x * (1 / y). [para(691(a,1),143(a,1,1,2))]. given #1054 (H,wt=22): 700 x * L(T(y,x),z,u) != w * v5 | w \ (L(y,z,u) * x) = v5. [para(45(a,2),516(a,1,2))]. given #1055 (H,wt=22): 708 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(21(a,1),593(a,1,1,2)),flip(a)]. given #1056 (H,wt=22): 719 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(716(a,1),183(a,1,2,1)),flip(a)]. given #1057 (H,wt=19): 1327 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(255,a,460,a(flip),b,719,a(flip))]. given #1058 (H,wt=22): 720 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(716(a,1),184(a,1,2,1)),flip(a)]. given #1059 (H,wt=19): 1328 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(255,a,461,a(flip),b,720,a(flip))]. given #1060 (H,wt=22): 764 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(342(a,1),570(a,2,2))]. given #1061 (H,wt=22): 765 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(19(a,1),763(a,1,1,2,1))]. given #1062 (H,wt=22): 769 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(81,a,112,a(flip),b,571,a),flip(a)]. given #1063 (H,wt=22): 774 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(230,a,580,a)]. given #1064 (H,wt=22): 778 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(81,a,580,a(flip),b,122,a(flip))]. given #1065 (H,wt=22): 797 T(x,y) * (y * x) != x * z | T(T(x,y * x) * y,x) = z. [para(724(a,1),173(a,2)),flip(a)]. given #1066 (H,wt=22): 802 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(767(a,1),112(a,1,2))]. given #1067 (H,wt=22): 803 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(343(a,1),767(a,2,1,2))]. given #1068 (H,wt=22): 804 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(436(a,1),767(a,2,1,2))]. given #1069 (H,wt=22): 805 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(437(a,1),767(a,2,1,2))]. given #1070 (H,wt=22): 809 ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. [para(775(a,1),122(a,1,1))]. given #1071 (H,wt=22): 810 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(253(a,1),775(a,2,1,2))]. given #1072 (H,wt=22): 812 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(471(a,1),775(a,2,1,2))]. given #1073 (H,wt=22): 813 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(472(a,1),775(a,2,1,2))]. given #1074 (H,wt=22): 834 x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). [hyper(362,a,430,a),flip(a)]. given #1075 (H,wt=22): 838 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(127(a,1),442(a,1,1,1)),flip(a)]. given #1076 (H,wt=22): 844 R(T((x * y) / x,z),x,y) * (x * y) = (x * y) * T(y,z). [para(475(a,1),397(a,1,1))]. given #1077 (H,wt=19): 1338 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(230,a,844,a)]. given #1078 (H,wt=15): 1339 (x * T(y,z)) * y = (x * y) * T(y,z). [para(397(a,1),1338(a,1,1))]. given #1079 (H,wt=13): 1341 (1 / T(x,y)) * x = x / T(x,y). [hyper(371,a,1339,a),flip(a)]. given #1080 (H,wt=13): 1349 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(87,a,1341,a)]. given #1081 (H,wt=15): 1340 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(535,a,1339,a)]. given #1082 (H,wt=15): 1342 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(308,a,1339,a),flip(a)]. given #1083 (H,wt=15): 1343 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(255,a,98,a(flip),b,1339,a)]. given #1084 (H,wt=15): 1344 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(87,a,1339,a)]. given #1085 (H,wt=15): 1345 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(81,a,98,a(flip),b,1339,a)]. given #1086 (H,wt=15): 1346 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(81,a,78,a(flip),b,1339,a),flip(a)]. given #1087 (H,wt=15): 1347 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [hyper(80,a,98,a(flip),b,1339,a)]. given #1088 (H,wt=16): 1350 (1 / T(x,y)) * x != z | x / T(x,y) = z. [para(1349(a,1),220(a,1,2)),flip(b)]. given #1089 (H,wt=16): 1355 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1344(a,1),1061(a,1,1)),flip(a)]. given #1090 (H,wt=17): 1351 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1349(a,1),965(a,2,1))]. given #1091 (H,wt=17): 1354 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1000(a,2),1342(a,1,1))]. given #1092 (H,wt=17): 1357 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [para(1351(a,1),70(a,1,2))]. given #1093 (H,wt=19): 1352 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1349(a,1),967(a,1,1)),flip(a)]. given #1094 (H,wt=19): 1356 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(547(a,1),1355(a,1,1,2))]. given #1095 (H,wt=19): 1359 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1354(a,1),1086(a,1,2)),flip(a)]. given #1096 (H,wt=19): 1360 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1294(a,1),1352(a,1,1))]. given #1097 (H,wt=19): 1361 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(96,a,1359,a),flip(a)]. given #1098 (H,wt=17): 1363 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(255,a,1000,a(flip),b,1361,a(flip))]. given #1099 (H,wt=20): 1353 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1340(a,2),173(a,2)),flip(a)]. given #1100 (H,wt=20): 1364 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(759,a,1363,a)]. given #1101 (H,wt=21): 1348 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(129(a,1),1339(a,1,1,2)),flip(a)]. given #1102 (H,wt=19): 1365 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(129(a,1),1348(a,1,2))]. given #1103 (H,wt=19): 1367 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(535,a,1365,a)]. given #1104 (H,wt=19): 1368 ((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y). [hyper(534,a,1365,a),flip(a)]. given #1105 (H,wt=19): 1369 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(81,a,98,a(flip),b,1365,a)]. given #1106 (H,wt=22): 846 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [para(476(a,1),737(a,2,1))]. given #1107 (H,wt=22): 864 ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). [para(196(a,1),562(a,1,1,2))]. given #1108 (H,wt=22): 873 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(70(a,1),624(a,1,1,1))]. given #1109 (H,wt=22): 875 T(x / (x / y),z) * (x / y) != u | (x / y) * T(y,z) = u. [para(21(a,1),628(a,1,1,1,1))]. given #1110 (H,wt=16): 1371 T(x,y) / x != z | (1 / x) * T(x,y) = z. [para(937(a,1),875(a,1))]. given #1111 (H,wt=22): 876 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(127(a,1),632(a,1,1))]. given #1112 (H,wt=21): 1372 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(255,a,670,a(flip),b,876,a)]. given #1113 (H,wt=21): 1373 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(1372(a,1),73(a,1,1))]. given #1114 (H,wt=22): 906 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(37(a,2),782(a,2,1,2))]. given #1115 (H,wt=22): 907 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(177(a,1),782(a,2,1,2))]. given #1116 (H,wt=22): 916 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(791(a,1),226(a,1,1)),flip(b)]. given #1117 (H,wt=22): 932 T(x * y,x \ 1) != x * z | ((x \ 1) \ y) * (x \ 1) = z. [para(859(a,1),24(a,1))]. given #1118 (H,wt=22): 958 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(923(a,1),220(a,1,2)),flip(b)]. given #1119 (H,wt=22): 964 T(x * y,1 / y) / y != z | ((1 / y) \ x) * (1 / y) = z. [para(935(a,1),225(a,1))]. given #1120 (H,wt=22): 966 (1 / x) * T((1 / x) \ y,z) != u | T(y * x,z) / x = u. [para(936(a,1),220(a,1,2)),flip(b)]. given #1121 (H,wt=22): 977 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z. [para(954(a,2),220(a,1,2)),flip(b)]. given #1122 (H,wt=18): 1377 (x * y) \ ((x \ (x * y)) * x) != z | K(y,x) = z. [para(880(a,1),977(a,1))]. given #1123 (H,wt=22): 1001 T(x,1 / y) / y != z * (1 / y) | (1 / y) \ (x / y) = z. [para(967(a,1),25(a,1))]. given #1124 (H,wt=22): 1003 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(940(a,1),295(a,1,2,2))]. given #1125 (H,wt=22): 1055 (x * y) * L((x * (y \ 1)) / x,y,x) = T(x,x / (x * y)). [para(768(a,2),996(a,1,2))]. given #1126 (H,wt=19): 1378 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(224,a,1055,a)]. given #1127 (H,wt=19): 1379 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(80,a,1055,a(flip),b,112,a(flip))]. given #1128 (H,wt=21): 1381 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(81,a,1379,a(flip),b,927,a)]. given #1129 (H,wt=22): 1088 (x * y) * z != x * (T(x,u) * y) | T(T(x,u),x * y) = z. [para(1074(a,1),173(a,2))]. given #1130 (H,wt=22): 1094 T(x,y) \ x != (T(x,y) \ 1) * z | T(x,T(x,y) \ 1) = z. [para(1083(a,1),173(a,2)),flip(a)]. given #1131 (H,wt=22): 1101 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(22,a,418,a,b,1079,a)]. given #1132 (H,wt=22): 1107 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(1098(a,1),297(a,1,2))]. given #1133 (H,wt=22): 1109 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(22,a,418,a,b,1086,a)]. given #1134 (H,wt=22): 1136 T(x / y,z) * x != (x / y) * u | y * T(y \ x,z) = u. [para(1130(a,1),24(a,1))]. given #1135 (H,wt=22): 1137 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(1130(a,2),24(a,2))]. given #1136 (H,wt=22): 1166 R(x,y,z) * (x \ 1) != u * w | (x \ R(x,y,z)) / w = u. [para(1160(a,1),369(a,1,1))]. given #1137 (H,wt=22): 1183 (1 / x) \ R(1 / x,y,z) != u | x * R(x \ 1,y,z) = u. [para(1179(a,1),222(a,1,2)),flip(b)]. given #1138 (H,wt=22): 1188 x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. [para(1180(a,1),646(a,1))]. given #1139 (H,wt=22): 1208 x * T(x \ 1,y) != z * u | K(y \ (y / x),y) / u = z. [para(1201(a,1),297(a,1,2))]. given #1140 (H,wt=22): 1300 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1298(a,1),682(a,1,1)),flip(a)]. given #1141 (H,wt=15): 1384 T((1 * x) / y,K(y / x,z)) = x / y. [hyper(255,a,351,a(flip),b,1300,a)]. given #1142 (H,wt=13): 1385 T(x / y,K(y / x,z)) = x / y. [para(16(a,1),1384(a,1,1,1))]. given #1143 (H,wt=15): 1386 T(x \ y,K(x / y,z)) = T(y / x,x). [para(1385(a,1),185(a,1,1)),flip(a)]. given #1144 (H,wt=13): 1387 T(x \ y,K(x / y,z)) = x \ y. [hyper(255,a,129,a(flip),b,1386,a)]. given #1145 (H,wt=22): 1312 (R(x,y,z) \ 1) * T(x,R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(229,a,1308,a)]. given #1146 (H,wt=22): 1313 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1308(a,1),192(a,1,2)),flip(a)]. given #1147 (H,wt=22): 1375 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(255,a,404,a(flip),b,906,a)]. given #1148 (H,wt=22): 1376 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(1075(a,1),907(a,1,1,1))]. given #1149 (H,wt=23): 424 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(112(a,1),33(a,2,2,2)),flip(a)]. given #1150 (H,wt=23): 432 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(112(a,1),104(a,1,1))]. given #1151 (H,wt=23): 449 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(112(a,1),114(a,2,2))]. given #1152 (H,wt=23): 456 ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). [para(122(a,1),31(a,2,1)),flip(a)]. given #1153 (H,wt=23): 457 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(122(a,1),35(a,2,1,1)),flip(a)]. given #1154 (H,wt=23): 463 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(122(a,1),104(a,1,1))]. given #1155 (H,wt=23): 480 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(122(a,1),123(a,2,1))]. given #1156 (H,wt=23): 482 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(123(a,2),123(a,1,1))]. given #1157 (H,wt=23): 531 (x * (y * z)) * a(x,y,z) != u * w | u \ ((x * y) * z) = w. [para(29(a,2),368(a,1,2))]. given #1158 (H,wt=23): 598 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(273(a,2),31(a,2,1)),flip(a)]. given #1159 (H,wt=23): 603 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). [hyper(80,a,274,a(flip),b,104,a)]. given #1160 (H,wt=23): 613 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(381(a,2),199(a,1,2,2))]. given #1161 (H,wt=23): 619 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(255,a,273,a(flip),b,397,a(flip)),flip(a)]. given #1162 (H,wt=23): 739 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(49(a,2),224(a,1,2))]. given #1163 (H,wt=23): 741 K(x \ 1,x) * L(y,x,x \ 1) != z | (x \ 1) * (x * y) = z. [para(189(a,2),224(a,1,1))]. given #1164 (H,wt=23): 745 L(R(x,y,z),u,w) * (y * z) != v5 | (L(x,u,w) * y) * z = v5. [para(49(a,1),230(a,1,1))]. given #1165 (H,wt=23): 746 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(51(a,1),230(a,1,1))]. given #1166 (H,wt=23): 756 (x * (y \ 1)) * y != z * K(y \ 1,y) | R(x,y \ 1,y) = z. [para(189(a,2),454(a,2,2))]. given #1167 (H,wt=23): 790 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(128(a,1),626(a,1,2,1,2))]. given #1168 (H,wt=21): 1392 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(255,a,1194,a(flip),b,790,a)]. given #1169 (H,wt=23): 821 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(345(a,2),112(a,1,2))]. given #1170 (H,wt=23): 824 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(346(a,1),112(a,1,2))]. given #1171 (H,wt=23): 826 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(19(a,1),823(a,1,1,1))]. given #1172 (H,wt=23): 827 R(x / (y * x),z,u) * (y * x) = (R(1 / y,z,u) * y) * x. [para(353(a,1),122(a,1,1))]. given #1173 (H,wt=23): 831 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(114(a,1),427(a,1,2,1))]. given #1174 (H,wt=21): 1398 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [hyper(255,a,1138,a(flip),b,831,a(flip)),flip(a)]. given #1175 (H,wt=21): 1399 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(19(a,1),1398(a,1,1,1,2,1)),flip(a)]. given #1176 (H,wt=21): 1402 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(956(a,2),1399(a,1,2)),flip(a)]. given #1177 (H,wt=19): 1403 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(67(a,1),1402(a,1,1,1,2)),flip(a)]. given #1178 (H,wt=19): 1405 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(189(a,2),1403(a,2,1))]. given #1179 (H,wt=19): 1406 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(18(a,1),1405(a,1,2,2)),flip(a)]. given #1180 (H,wt=21): 1407 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(37(a,2),1405(a,1,2,2))]. given #1181 (H,wt=22): 1408 K(x \ 1,x) * y != x * (K(x \ 1,x) * z) | x * z = y. [para(1406(a,1),24(a,1)),flip(a)]. given #1182 (H,wt=22): 1409 x * (K(x \ 1,x) * (x \ y)) != z | K(x \ 1,x) * y = z. [para(1406(a,1),310(a,1))]. given #1183 (H,wt=23): 832 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(241(a,1),427(a,1,2,1))]. given #1184 (H,wt=21): 1411 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(255,a,1190,a(flip),b,832,a(flip))]. given #1185 (H,wt=19): 1412 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(127(a,1),1411(a,1,2)),flip(a)]. given #1186 (H,wt=19): 1414 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(96,a,1412,a)]. given #1187 (H,wt=21): 1413 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(229,a,1412,a)]. given #1188 (H,wt=23): 842 (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). [para(253(a,1),459(a,1,1,1)),flip(a)]. given #1189 (H,wt=23): 854 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(546(a,1),112(a,1,2))]. given #1190 (H,wt=19): 1417 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(362,a,854,a),flip(a)]. given #1191 (H,wt=17): 1418 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(183(a,1),1417(a,1,2)),flip(a)]. given #1192 (H,wt=15): 1424 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(80,a,64,a(flip),b,1418,a),flip(a)]. given #1193 (H,wt=15): 1429 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(87,a,1424,a)]. given #1194 (H,wt=17): 1419 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(533,a,1418,a)]. given #1195 (H,wt=17): 1420 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(530,a,1418,a),flip(a)]. given #1196 (H,wt=17): 1421 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(310,a,1418,a),flip(a)]. given #1197 (H,wt=17): 1422 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(87,a,1418,a)]. given #1198 (H,wt=17): 1423 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(80,a,97,a(flip),b,1418,a)]. given #1199 (H,wt=19): 1427 x * (L(x,y,z) * T(u,x)) = L(x,y,z) * (u * x). [para(127(a,1),1418(a,1,2)),flip(a)]. given #1200 (H,wt=19): 1434 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(80,a,37,a,b,1420,a),flip(a)]. given #1201 (H,wt=20): 1435 L(x,y,z) * u != x * w | L(x,y,z) * (x \ u) = w. [para(1421(a,1),24(a,1))]. given #1202 (H,wt=22): 1431 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1424(a,1),192(a,1,2)),flip(a)]. given #1203 (H,wt=23): 911 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [hyper(81,a,274,a(flip),b,399,a)]. given #1204 (H,wt=11): 1439 T(1 / (1 / x),x \ 1) = x. [hyper(255,a,1259,a(flip),b,911,a(flip))]. given #1205 (H,wt=13): 1441 T(1 / (1 / (1 / x)),x) = 1 / x. [para(73(a,1),1439(a,1,2))]. given #1206 (H,wt=13): 1443 T(x,x \ 1) / x = K(x,x \ 1). [para(1439(a,1),1212(a,1,1)),flip(a)]. given #1207 (H,wt=11): 1445 K(x,1 / x) = K(x,x \ 1). [hyper(255,a,1265,a(flip),b,1443,a(flip)),flip(a)]. given #1208 (H,wt=11): 1448 K(x,x \ 1) = x * (1 / x). [hyper(365,a,1445,a),flip(a)]. given #1209 (H,wt=11): 1450 x \ K(x,x \ 1) = 1 / x. [hyper(80,a,1445,a(flip),b,191,a(flip))]. given #1210 (H,wt=13): 1446 K(x,x \ 1) * x = T(x,x \ 1). [para(1443(a,1),21(a,1,1))]. given #1211 (H,wt=13): 1447 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(128(a,1),1443(a,1,1))]. given #1212 (H,wt=13): 1452 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1445(a,1),391(a,1,1))]. given #1213 (H,wt=13): 1454 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1445(a,1),796(a,1,2))]. given #1214 (H,wt=13): 1455 K(x,x \ 1) * (x \ 1) = 1 / x. [para(1445(a,1),799(a,1,1))]. given #1215 (H,wt=13): 1456 K(x,x \ 1) * x = (x \ 1) \ 1. [para(1445(a,1),1268(a,1,1))]. given #1216 (H,wt=13): 1457 (x \ 1) * K(x,x \ 1) = 1 / x. [para(1445(a,1),1271(a,1,2))]. given #1217 (H,wt=13): 1458 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(255,a,390,a,b,1448,a(flip)),flip(a)]. given #1218 (H,wt=14): 1453 K(x,x \ 1) != y | x * (1 / x) = y. [para(1445(a,1),365(a,1))]. given #1219 (H,wt=14): 1459 K(x,x \ 1) != x * y | 1 / x = y. [para(1448(a,2),24(a,1))]. given #1220 (H,wt=14): 1464 x * (1 / x) != y | K(x,x \ 1) = y. [para(1450(a,1),220(a,1,2)),flip(b)]. given #1221 (H,wt=14): 1475 K(x,1 / x) != y | K(x,x \ 1) = y. [para(191(a,2),1464(a,1))]. given #1222 (H,wt=15): 1440 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1439(a,1),43(a,1,1)),flip(a)]. given #1223 (H,wt=15): 1442 (1 / (1 / x)) * (x \ 1) = (x \ 1) * x. [para(1439(a,1),127(a,1,2)),flip(a)]. given #1224 (H,wt=13): 1477 (x \ 1) / (1 / x) = (x \ 1) * x. [hyper(255,a,968,a(flip),b,1442,a(flip)),flip(a)]. given #1225 (H,wt=13): 1478 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(255,a,189,a,b,1477,a)]. given #1226 (H,wt=13): 1480 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(255,a,1196,a(flip),b,1478,a(flip)),flip(a)]. given #1227 (H,wt=13): 1481 K(x \ 1,x) * (1 / x) = x \ 1. [para(1478(a,1),21(a,1,1))]. given #1228 (H,wt=13): 1482 K(x \ 1,x) \ (x \ 1) = 1 / x. [para(1478(a,1),73(a,1,1))]. given #1229 (H,wt=12): 1489 L(x \ 1,x,x \ 1) = 1 / x. [hyper(609,a,1482,a)]. given #1230 (H,wt=13): 1483 x * K(x \ 1,x) = 1 / (1 / x). [para(1480(a,1),19(a,1,2))]. given #1231 (H,wt=12): 1492 L(x,x \ 1,x) = 1 / (1 / x). [hyper(761,a,1483,a)]. given #1232 (H,wt=13): 1486 T(1 / x,K(x \ 1,x)) = 1 / x. [hyper(695,a,1481,a)]. given #1233 (H,wt=15): 1444 (1 / (1 / (1 / x))) * x = x * (1 / x). [para(1441(a,1),127(a,1,2)),flip(a)]. given #1234 (H,wt=13): 1501 x / (1 / (1 / x)) = x * (1 / x). [hyper(255,a,1149,a(flip),b,1444,a(flip)),flip(a)]. given #1235 (H,wt=13): 1502 x / (1 / (1 / x)) = K(x,x \ 1). [hyper(255,a,1448,a,b,1501,a)]. given #1236 (H,wt=13): 1503 x / (1 / (1 / x)) = K(x,1 / x). [hyper(255,a,191,a,b,1501,a)]. given #1237 (H,wt=13): 1504 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1502(a,1),21(a,1,1))]. given #1238 (H,wt=13): 1505 K(x,x \ 1) \ x = 1 / (1 / x). [para(1502(a,1),73(a,1,1))]. given #1239 (H,wt=13): 1506 K(x,1 / x) * (1 / (1 / x)) = x. [para(1503(a,1),21(a,1,1))]. given #1240 (H,wt=12): 1508 L(x,1 / x,x) = 1 / (1 / x). [hyper(563,a,1506,a)]. given #1241 (H,wt=12): 1510 T(L(x,1 / x,x),x \ 1) = x. [para(1508(a,2),1439(a,1,1))]. given #1242 (H,wt=12): 1511 L(T(x,x \ 1),1 / x,x) = x. [hyper(255,a,45,a,b,1510,a(flip)),flip(a)]. given #1243 (H,wt=9): 1512 T(x,K(x,1 / x)) = x. [hyper(255,a,1276,a(flip),b,1511,a(flip)),flip(a)]. given #1244 (H,wt=9): 1514 T(x,K(x,x \ 1)) = x. [para(1445(a,1),1512(a,1,2))]. given #1245 (H,wt=13): 1513 T(K(x,1 / x),x) = K(x,1 / x). [hyper(40,a,1512,a)]. given #1246 (H,wt=12): 1516 a(x,1 / x,x) = K(x,1 / x). [hyper(255,a,711,a(flip),b,1513,a(flip)),flip(a)]. given #1247 (H,wt=13): 1517 x \ T(x,x \ 1) = K(x,1 / x). [hyper(255,a,1266,a,b,1516,a(flip)),flip(a)]. given #1248 (H,wt=13): 1518 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(255,a,1261,a(flip),b,1516,a(flip)),flip(a)]. given #1249 (H,wt=13): 1519 x \ T(x,x \ 1) = K(x,x \ 1). [hyper(255,a,1445,a(flip),b,1517,a)]. given #1250 (H,wt=13): 1520 x \ ((x \ 1) \ 1) = K(x,x \ 1). [hyper(255,a,1445,a(flip),b,1518,a)]. given #1251 (H,wt=13): 1522 x * K(x,x \ 1) = T(x,x \ 1). [para(1519(a,1),19(a,1,2))]. given #1252 (H,wt=13): 1523 x * K(x,x \ 1) = (x \ 1) \ 1. [para(1519(a,1),275(a,2,2)),flip(a)]. given #1253 (H,wt=15): 1449 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(255,a,616,a,b,1445,a(flip)),flip(a)]. given #1254 (H,wt=15): 1451 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(70(a,1),1445(a,1,2)),flip(a)]. given #1255 (H,wt=15): 1479 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(255,a,1270,a,b,1478,a(flip)),flip(a)]. given #1256 (H,wt=15): 1521 K((x \ 1) \ 1,x \ 1) = K(x,1 / x). [hyper(255,a,693,a,b,1518,a(flip)),flip(a)]. given #1257 (H,wt=15): 1524 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [hyper(255,a,693,a,b,1520,a(flip)),flip(a)]. given #1258 (H,wt=15): 1529 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1475,a,1479,a)]. given #1259 (H,wt=11): 1533 K(1 / x,x) = K(x \ 1,x). [para(73(a,1),1529(a,1,2))]. given #1260 (H,wt=13): 1535 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(255,a,1452,a,b,1533,a(flip)),flip(a)]. given #1261 (H,wt=13): 1537 x * K(1 / x,x) = 1 / (1 / x). [para(1533(a,2),1483(a,1,2))]. given #1262 (H,wt=15): 1534 K(1 / (1 / x),1 / x) = K(x,x \ 1). [hyper(255,a,1449,a(flip),b,1533,a)]. given #1263 (H,wt=16): 1473 ((x \ 1) \ 1) / x != y | K(x,x \ 1) = y. [para(1456(a,1),304(a,1,1)),flip(b)]. given #1264 (H,wt=16): 1490 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1489(a,1),45(a,2,1))]. given #1265 (H,wt=16): 1493 1 / (1 / x) != x * y | K(x \ 1,x) = y. [para(1483(a,1),24(a,1))]. given #1266 (H,wt=16): 1494 (1 / (1 / x)) / (x * x) = R(x \ 1,x,x). [para(1483(a,1),1254(a,1,1))]. given #1267 (H,wt=16): 1495 L(T(x,y),x \ 1,x) = T(1 / (1 / x),y). [para(1492(a,1),45(a,2,1))]. given #1268 (H,wt=16): 1509 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1508(a,1),45(a,2,1))]. given #1269 (H,wt=17): 1540 T(1 / (1 / x),y) / ((x \ 1) * T(x,y)) = x. [hyper(81,a,1495,a(flip),b,190,a)]. given #1270 (H,wt=18): 1476 K((x / y) \ x,1 / y) != z | K(y,y \ 1) = z. [para(616(a,2),1475(a,1))]. given #1271 (H,wt=18): 1491 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1489(a,1),50(a,1,1)),flip(a)]. given #1272 (H,wt=18): 1496 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1492(a,1),49(a,1,1)),flip(a)]. given #1273 (H,wt=18): 1497 L(L(x,y,z),x \ 1,x) = L(1 / (1 / x),y,z). [para(1492(a,1),50(a,1,1)),flip(a)]. given #1274 (H,wt=18): 1531 K((x \ 1) \ 1,x \ 1) != y | K(x,x \ 1) = y. [para(1521(a,2),1475(a,1))]. given #1275 (H,wt=20): 1498 L((x * y) / x,y \ 1,y) = (x * (1 / (1 / y))) / x. [para(1492(a,1),767(a,2,1,2))]. given #1276 (H,wt=21): 1462 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1448(a,2),1418(a,1,2))]. given #1277 (H,wt=21): 1463 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1448(a,2),1423(a,1,2))]. given #1278 (H,wt=21): 1484 x * (T(x,y) \ K(x \ 1,x)) = T(x,y) \ (1 / (1 / x)). [para(1480(a,1),1082(a,1,2,2))]. given #1279 (H,wt=21): 1515 L(x,y,z) * K(x,x \ 1) = K(x,x \ 1) * L(x,y,z). [para(1514(a,1),183(a,1,2,1)),flip(a)]. given #1280 (H,wt=21): 1530 K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,1 / (x \ 1)). [para(1248(a,2),1521(a,1,1))]. given #1281 (H,wt=17): 1544 K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,x). [para(70(a,1),1530(a,2,2))]. given #1282 (H,wt=17): 1545 K(T(x \ 1,x),T(x,x \ 1)) = K(x \ 1,x). [para(128(a,2),1544(a,1,2))]. given #1283 (H,wt=21): 1541 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(255,a,1003,a,b,1509,a(flip)),flip(a)]. given #1284 (H,wt=21): 1543 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(255,a,1462,a(flip),b,1515,a(flip))]. given #1285 (H,wt=21): 1547 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1541(a,1),19(a,1,2))]. given #1286 (H,wt=21): 1549 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1445(a,1),1547(a,1,1))]. given #1287 (H,wt=22): 1460 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1448(a,2),1103(a,1,2))]. given #1288 (H,wt=23): 917 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(73(a,1),792(a,1,2,2,1,2))]. given #1289 (H,wt=23): 963 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(931(a,1),388(a,1,2))]. given #1290 (H,wt=23): 972 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(255,a,848,a(flip),b,951,a)]. given #1291 (H,wt=23): 1002 K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(967(a,1),106(a,1,1)),flip(a)]. given #1292 (H,wt=23): 1011 L(x / (y * x),z,u) * (y * x) = (L(1 / y,z,u) * y) * x. [para(163(a,1),460(a,1,1,1))]. given #1293 (H,wt=23): 1016 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(491(a,2),24(a,1))]. given #1294 (H,wt=23): 1034 R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. [para(501(a,2),25(a,1))]. given #1295 (H,wt=23): 1043 L(x,y,z) / x != L(x,y,z) * u | T(1 / x,L(x,y,z)) = u. [para(1040(a,1),173(a,2)),flip(a)]. given #1296 (H,wt=23): 1051 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(677(a,1),418(a,1,2)),flip(a)]. given #1297 (H,wt=21): 1554 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(17(a,1),1051(a,2,2,1,2))]. given #1298 (H,wt=19): 1557 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1200(a,2),1554(a,1,2)),flip(a)]. given #1299 (H,wt=19): 1559 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(80,a,1557,a,b,xx),flip(a)]. given #1300 (H,wt=15): 1569 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1559(a,1),975(a,1,2,2))]. given #1301 (H,wt=19): 1570 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(994(a,1),1569(a,1,2,2,2,2))]. given #1302 (H,wt=11): 1571 T(x,x * (T(x,y) \ x)) = x. [para(19(a,1),1570(a,1,2,2,2))]. given #1303 (H,wt=15): 1572 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1571(a,1),43(a,1,1)),flip(a)]. given #1304 (H,wt=21): 1555 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(87,a,1554,a),flip(a)]. given #1305 (H,wt=21): 1556 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(289(a,1),1554(a,1,2)),flip(a)]. given #1306 (H,wt=21): 1558 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(966,a,1557,a)]. given #1307 (H,wt=21): 1561 K(x \ (x / (y \ (z \ y))),x) = y \ (T(z,x) * (z \ y)). [hyper(80,a,398,a(flip),b,1557,a(flip)),flip(a)]. given #1308 (H,wt=21): 1562 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(18(a,1),1557(a,1,2,1)),flip(a)]. given #1309 (H,wt=21): 1567 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(73(a,1),1559(a,2,2,2,1))]. given #1310 (H,wt=19): 1575 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(894(a,1),1567(a,2,2))]. given #1311 (H,wt=23): 1052 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(682(a,1),300(a,1,1)),flip(a)]. given #1312 (H,wt=21): 1577 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(16(a,1),1052(a,2,1,1,1))]. given #1313 (H,wt=21): 1578 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(255,a,396,a(flip),b,1577,a)]. given #1314 (H,wt=21): 1579 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(396(a,1),1578(a,1,1))]. given #1315 (H,wt=19): 1581 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1200(a,2),1579(a,1,1))]. given #1316 (H,wt=19): 1582 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(96,a,1581,a),flip(a)]. given #1317 (H,wt=21): 1580 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [hyper(96,a,1579,a),flip(a)]. given #1318 (H,wt=23): 1064 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(1009(a,1),24(a,1)),flip(a)]. given #1319 (H,wt=23): 1080 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(172,a,1074,a,b,242,a)]. given #1320 (H,wt=15): 1587 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(255,a,1572,a(flip),b,1080,a(flip))]. given #1321 (H,wt=15): 1588 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1587(a,1),70(a,1,2))]. given #1322 (H,wt=13): 1589 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1353,a,1588,a)]. given #1323 (H,wt=21): 1591 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1589(a,1),396(a,1,1)),flip(a)]. given #1324 (H,wt=23): 1096 T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). [para(1083(a,1),858(a,1,1,2))]. given #1325 (H,wt=23): 1114 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(129(a,1),1111(a,1,1)),flip(a)]. given #1326 (H,wt=21): 1592 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(129(a,1),1114(a,1,2)),flip(a)]. given #1327 (H,wt=23): 1120 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(354(a,1),1115(a,2,2)),flip(a)]. given #1328 (H,wt=20): 1594 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(255,a,809,a(flip),b,1120,a(flip)),flip(a)]. given #1329 (H,wt=20): 1595 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(789(a,1),1594(a,1,1))]. given #1330 (H,wt=20): 1597 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1379(a,2),1595(a,1,1)),flip(a)]. given #1331 (H,wt=23): 1156 x \ T(x * (x \ L(x,y,z)),u) = T(L(x,y,z),u) * (x \ 1). [para(1153(a,1),922(a,1,2,1,2))]. given #1332 (H,wt=19): 1598 T(L(x,y,z),u) * (x \ 1) = x \ T(L(x,y,z),u). [para(19(a,1),1156(a,1,2,1)),flip(a)]. given #1333 (H,wt=19): 1600 T(L(x,y,z),u) * (x \ 1) = x \ L(T(x,u),y,z). [para(45(a,2),1598(a,2,2))]. given #1334 (H,wt=19): 1601 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [para(45(a,2),1600(a,1,1))]. given #1335 (H,wt=23): 1176 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1173(a,1),173(a,2)),flip(a)]. given #1336 (H,wt=23): 1192 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(166(a,1),1087(a,1,2,1)),flip(a)]. given #1337 (H,wt=19): 1602 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(18(a,1),1192(a,1,1)),flip(a)]. given #1338 (H,wt=19): 1603 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(533,a,1602,a)]. given #1339 (H,wt=19): 1604 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(80,a,97,a(flip),b,1602,a)]. given #1340 (H,wt=23): 1198 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(70(a,1),1197(a,1,1,1,2)),flip(a)]. given #1341 (H,wt=19): 1606 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(880(a,1),1198(a,1,2)),flip(a)]. given #1342 (H,wt=17): 1607 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(105(a,1),1606(a,2,2))]. given #1343 (H,wt=19): 1608 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(18(a,1),1607(a,1,1,1))]. given #1344 (H,wt=15): 1609 (x * y) * ((y * x) \ y) = y * K(x,y). [para(18(a,1),1608(a,2,2,1))]. given #1345 (H,wt=16): 1611 (x * y) * L(x \ 1,x,y) = y * K(x,y). [hyper(255,a,340,a,b,1609,a(flip)),flip(a)]. given #1346 (H,wt=17): 1610 x \ (y * K(x / y,y)) = (y * (x / y)) \ y. [hyper(262,a,1609,a)]. given #1347 (H,wt=23): 1207 T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x). [para(1200(a,2),1086(a,1,2)),flip(a)]. given #1348 (H,wt=23): 1219 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(926(a,1),1141(a,1,1))]. given #1349 (H,wt=23): 1277 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1267(a,1),648(a,1,2))]. given #1350 (H,wt=23): 1278 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(73(a,1),1262(a,1,1,1,1)),flip(a)]. given #1351 (H,wt=23): 1323 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(350(a,1),655(a,1,1,1))]. given #1352 (H,wt=23): 1334 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(80,a,804,a(flip),b,192,a)]. given #1353 (H,wt=23): 1335 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(80,a,805,a(flip),b,190,a),flip(a)]. given #1354 (H,wt=17): 1616 x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). [hyper(997,a,1335,a),flip(a)]. given #1355 (H,wt=16): 1617 T(x,x / (y \ 1)) != z | T(x,y * x) = z. [para(1616(a,1),891(a,1))]. given #1356 (H,wt=23): 1336 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(81,a,812,a(flip),b,194,a),flip(a)]. given #1357 (H,wt=17): 1618 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(992,a,1336,a),flip(a)]. given #1358 (H,wt=18): 1621 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1618(a,1),1364(a,1,1))]. given #1359 (H,wt=19): 1620 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(19(a,1),1618(a,1,1,1,2)),flip(a)]. given #1360 (H,wt=21): 1619 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(16(a,1),1336(a,2,1,1,2))]. given #1361 (H,wt=21): 1622 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(916,a,1619,a)]. given #1362 (H,wt=17): 1623 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(73(a,1),1622(a,1,2,1,2))]. given #1363 (H,wt=21): 1624 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(302,a,1623,a),flip(a)]. given #1364 (H,wt=23): 1362 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1360(a,1),1346(a,1,1,1))]. given #1365 (H,wt=23): 1366 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(166(a,1),1348(a,1,2)),flip(a)]. given #1366 (H,wt=19): 1626 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(18(a,1),1366(a,1,1,2)),flip(a)]. given #1367 (H,wt=17): 1628 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(371,a,1626,a),flip(a)]. given #1368 (H,wt=17): 1630 (x / ((y * x) / y)) / x = 1 / ((y * x) / y). [hyper(96,a,1628,a)]. given #1369 (H,wt=19): 1627 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(535,a,1626,a)]. given #1370 (H,wt=21): 1629 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(998(a,1),1626(a,1,1)),flip(a)]. given #1371 (H,wt=17): 1631 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(308,a,1629,a),flip(a)]. given #1372 (H,wt=17): 1632 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(1099,a,1631,a)]. given #1373 (H,wt=17): 1634 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(96,a,1632,a)]. given #1374 (H,wt=17): 1636 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(255,a,1620,a,b,1634,a(flip)),flip(a)]. given #1375 (H,wt=17): 1637 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(18(a,1),1636(a,1,2,2,2)),flip(a)]. given #1376 (H,wt=20): 1635 (x * y) / x != z * (x \ y) | T(x,x / (x / y)) = z. [para(1632(a,1),25(a,1))]. given #1377 (H,wt=23): 1370 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [para(846(a,1),573(a,1,2))]. given #1378 (H,wt=23): 1397 (x * y) * R((x * y) \ y,z,u) = (R(1 / x,z,u) * x) * y. [hyper(788,a,827,a)]. given #1379 (H,wt=23): 1416 (T((x / y) / z,u) * z) * y = (z * y) * T((z * y) \ x,u). [hyper(255,a,396,a(flip),b,842,a)]. given #1380 (H,wt=23): 1538 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1490(a,1),433(a,1,2))]. given #1381 (H,wt=23): 1550 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(1505(a,2),1549(a,1,2,1))]. given #1382 (H,wt=23): 1552 (x * y) * L((x * y) \ y,z,u) = (L(1 / x,z,u) * x) * y. [hyper(780,a,1011,a)]. given #1383 (H,wt=23): 1553 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(87,a,1051,a)]. given #1384 (H,wt=23): 1560 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(255,a,925,a(flip),b,1557,a(flip))]. given #1385 (H,wt=23): 1566 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(37(a,2),1559(a,1,1,2,2))]. given #1386 (H,wt=21): 1645 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(1190(a,1),1566(a,2,2))]. given #1387 (H,wt=19): 1646 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(255,a,37,a,b,1645,a),flip(a)]. given #1388 (H,wt=17): 1651 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(289(a,1),1646(a,1,1)),flip(a)]. given #1389 (H,wt=19): 1652 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(924(a,1),1646(a,1,1))]. given #1390 (H,wt=19): 1654 K(x \ (x / T(y,z)),x) = T(K(x \ (x / y),x),z). [para(1200(a,2),1646(a,1,1)),flip(a)]. given #1391 (H,wt=19): 1656 K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). [para(70(a,1),1654(a,2,1,1,2))]. given #1392 (H,wt=20): 1653 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1062(a,2),1646(a,1,1)),flip(a)]. given #1393 (H,wt=21): 1647 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(1645(a,2),19(a,1,2)),flip(a)]. given #1394 (H,wt=21): 1649 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(255,a,1200,a(flip),b,1646,a),flip(a)]. given #1395 (H,wt=21): 1650 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(80,a,1646,a,b,1200,a(flip))]. given #1396 (H,wt=21): 1658 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(225,a,1649,a),flip(a)]. given #1397 (H,wt=23): 1574 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(21(a,1),1558(a,1,1,1)),flip(a)]. given #1398 (H,wt=23): 1576 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(81,a,396,a(flip),b,1052,a)]. given #1399 (H,wt=23): 1583 K(x \ (x / ((y * z) / y)),x) = (y * (z * T(z \ 1,x))) / y. [hyper(81,a,656,a(flip),b,1581,a),flip(a)]. given #1400 (H,wt=21): 1664 K(x \ (x / ((y * x) / y)),x) = (y * K(x \ 1,x)) / y. [para(289(a,1),1583(a,2,1,2))]. given #1401 (H,wt=23): 1615 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(780,a,1323,a),flip(a)]. given #1402 (H,wt=23): 1625 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(916,a,1362,a)]. given #1403 (H,wt=21): 1667 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(1083(a,1),1625(a,1,2,1))]. given #1404 (H,wt=21): 1668 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1625(a,1),1378(a,1,2))]. given #1405 (H,wt=23): 1638 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(396(a,1),1370(a,2,1))]. given #1406 (H,wt=21): 1671 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(172,a,1638,a(flip),b,832,a(flip)),flip(a)]. given #1407 (H,wt=19): 1673 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(37(a,2),1671(a,1,2,1,2)),flip(a)]. given #1408 (H,wt=17): 1674 T(x * T(x \ y,x),x) = (x \ T(y,x)) * x. [hyper(255,a,127,a(flip),b,1673,a)]. given #1409 (H,wt=15): 1676 T((x \ y) * x,x) = (x \ T(y,x)) * x. [para(127(a,1),1674(a,1,1))]. given #1410 (H,wt=15): 1677 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(81,a,1676,a,b,xx)]. given #1411 (H,wt=15): 1680 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1676(a,2),69(a,1,2,1))]. given #1412 (H,wt=15): 1681 T(x * y,y) / y = y \ T(y * x,y). [para(18(a,1),1677(a,1,1,1,1))]. given #1413 (H,wt=15): 1684 x \ T(x * (y / x),x) = T(y,x) / x. [para(75(a,1),1677(a,1,1,1)),flip(a)]. given #1414 (H,wt=15): 1687 x * (T(y * x,x) / x) = T(x * y,x). [para(18(a,1),1680(a,1,2,1,1,1))]. given #1415 (H,wt=15): 1688 T(x * (y / x),x) = x * (T(y,x) / x). [para(75(a,1),1680(a,1,2,1,1)),flip(a)]. given #1416 (H,wt=18): 1679 T((x \ y) * x,x) != z * x | x \ T(y,x) = z. [para(1676(a,2),25(a,1))]. given #1417 (H,wt=18): 1682 x * (T((x \ y) * x,x) / x) != z | T(y,x) = z. [para(1677(a,2),220(a,1,2)),flip(b)]. given #1418 (H,wt=18): 1683 (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. [para(1677(a,1),226(a,1,1)),flip(b)]. given #1419 (H,wt=19): 1675 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(80,a,1673,a,b,xx)]. given #1420 (H,wt=19): 1678 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(80,a,1676,a,b,263,a)]. given #1421 (H,wt=19): 1691 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(934(a,1),1687(a,1,2)),flip(a)]. given #1422 (H,wt=19): 1693 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(18(a,1),1675(a,1,2,1,2,1))]. given #1423 (H,wt=19): 1696 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1684(a,1),1693(a,2,1))]. given #1424 (H,wt=19): 1697 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1696(a,1),19(a,1,2)),flip(a)]. given #1425 (H,wt=17): 1698 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(151(a,1),1697(a,2,2,1,1))]. given #1426 (H,wt=21): 1695 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(18(a,1),1678(a,1,2,1,1))]. given #1427 (H,wt=22): 1685 (x \ T(y,x)) * x != z * u | z \ T((x \ y) * x,x) = u. [para(1677(a,1),299(a,1,1))]. given #1428 (H,wt=22): 1686 (x \ T(y,x)) * x != z * u | T((x \ y) * x,x) / u = z. [para(1677(a,1),369(a,1,1))]. given #1429 (H,wt=22): 1699 x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. [para(1697(a,2),222(a,1,2)),flip(b)]. given #1430 (H,wt=23): 1639 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(578(a,1),1397(a,2,1))]. given #1431 (H,wt=12): 1700 T(x,x * R(x \ 1,y,z)) = x. [hyper(172,a,821,a(flip),b,1639,a(flip))]. given #1432 (H,wt=11): 1704 T(x,(y / (x * y)) * x) = x. [para(593(a,2),1700(a,1,2))]. given #1433 (H,wt=14): 1706 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1158(a,1),1700(a,1,2))]. given #1434 (H,wt=15): 1707 T(x / y,(y / x) * (x / y)) = x / y. [para(708(a,1),1700(a,1,2))]. given #1435 (H,wt=16): 1703 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(73(a,1),1700(a,1,2,2,1))]. given #1436 (H,wt=16): 1705 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(581(a,1),1700(a,1,2))]. given #1437 (H,wt=17): 1709 T(x \ R(x,y,z),x \ 1) = x \ R(x,y,z). [hyper(40,a,1706,a)]. given #1438 (H,wt=18): 1710 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1706(a,1),43(a,1,1)),flip(a)]. given #1439 (H,wt=19): 1701 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [hyper(172,a,1639,a(flip),b,821,a(flip))]. given #1440 (H,wt=19): 1711 T(x / (y * x),y * (x / (y * x))) = x / (y * x). [para(20(a,1),1707(a,1,2,1))]. given #1441 (H,wt=20): 1713 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1705(a,1),718(a,1,1))]. given #1442 (H,wt=20): 1715 R(x / (y * x),y,x / (y * x)) = T(x / (y * x),y). [para(1711(a,1),718(a,1,1))]. given #1443 (H,wt=19): 1717 R(x / (y * x),y,x / (y * x)) = R(y \ 1,y,x). [hyper(255,a,587,a(flip),b,1715,a)]. given #1444 (H,wt=23): 1640 (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). [hyper(255,a,832,a(flip),b,1416,a)]. given #1445 (H,wt=23): 1643 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(570(a,1),1552(a,2,1))]. given #1446 (H,wt=12): 1720 T(x,x * L(x \ 1,y,z)) = x. [hyper(172,a,824,a(flip),b,1643,a(flip))]. given #1447 (H,wt=11): 1724 T(x,x * ((y * x) \ y)) = x. [para(162(a,1),1720(a,1,2,2))]. given #1448 (H,wt=12): 1723 K(x,x * L(x \ 1,y,z)) = 1. [hyper(41,a,1720,a)]. given #1449 (H,wt=14): 1727 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1150(a,1),1720(a,1,2))]. given #1450 (H,wt=15): 1725 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(342(a,1),1720(a,1,2,2))]. given #1451 (H,wt=16): 1726 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(572(a,1),1720(a,1,2))]. given #1452 (H,wt=19): 1730 T(x \ (x / y),(x \ (x / y)) * y) = x \ (x / y). [para(73(a,1),1725(a,1,2,2))]. given #1453 (H,wt=20): 1732 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1726(a,1),718(a,1,1))]. given #1454 (H,wt=21): 1729 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(940(a,1),1724(a,1,2,2,1))]. given #1455 (H,wt=21): 1733 T((x \ (x / y)) * y,x \ (x / y)) = (x \ (x / y)) * y. [hyper(40,a,1730,a)]. given #1456 (H,wt=22): 1721 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(172,a,1643,a(flip),b,430,a(flip))]. given #1457 (H,wt=22): 1728 (((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y). [para(1724(a,1),548(a,1,1,2))]. given #1458 (H,wt=22): 1731 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1725(a,1),547(a,1,2)),flip(a)]. given #1459 (H,wt=21): 1735 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(23,a,764,a,b,1731,a)]. given #1460 (H,wt=23): 1644 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(19(a,1),1553(a,1,2,2,1,2)),flip(a)]. given #1461 (H,wt=23): 1655 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1246(a,1),1652(a,2,1,2,2))]. given #1462 (H,wt=19): 1737 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(255,a,1652,a,b,1655,a)]. given #1463 (H,wt=23): 1661 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1232(a,1),1650(a,1,2,1,2)),flip(a)]. given #1464 (H,wt=19): 1739 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(19(a,1),1661(a,2,2,1))]. given #1465 (H,wt=17): 1741 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(151(a,1),1739(a,2,2))]. given #1466 (H,wt=23): 1663 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(255,a,396,a(flip),b,1576,a)]. given #1467 (H,wt=21): 1743 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(127(a,1),1663(a,1,1)),flip(a)]. given #1468 (H,wt=23): 1666 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(570(a,1),1615(a,1,1))]. given #1469 (H,wt=22): 1746 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1489(a,1),1666(a,1,1,2)),flip(a)]. given #1470 (H,wt=22): 1747 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1448(a,2),1746(a,2,1))]. given #1471 (H,wt=23): 1669 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(255,a,832,a(flip),b,1638,a(flip)),flip(a)]. given #1472 (H,wt=23): 1689 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(397(a,1),1681(a,1,1,1)),flip(a)]. given #1473 (H,wt=19): 1751 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(1699,a,1689,a),flip(a)]. given #1474 (H,wt=23): 1719 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(396(a,1),1640(a,1,1))]. given #1475 (H,wt=23): 1754 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(974(a,2),1719(a,1,1))]. given #1476 (H,wt=21): 1755 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(60(a,1),1754(a,2,2,2,1,2))]. given #1477 (H,wt=19): 1757 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(127(a,1),1755(a,2,2))]. given #1478 (H,wt=19): 1758 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(289(a,1),1755(a,2,2))]. given #1479 (H,wt=19): 1760 (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). [para(20(a,1),1758(a,1,1,1))]. given #1480 (H,wt=19): 1762 ((x / K(y \ 1,y)) * y) * K(y \ 1,y) = x * y. [hyper(308,a,1760,a),flip(a)]. given #1481 (H,wt=20): 1759 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(23,a,122,a(flip),b,1757,a)]. given #1482 (H,wt=20): 1763 ((x * (y \ 1)) / K(y \ 1,y)) * y = R(x,y \ 1,y). [hyper(23,a,465,a,b,1762,a)]. given #1483 (H,wt=23): 1764 (x * (y \ 1)) / K(y \ 1,y) != z | R(x,y \ 1,y) / y = z. [para(1759(a,1),304(a,1,1)),flip(b)]. given #1484 (H,wt=24): 425 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(112(a,1),35(a,2,1,1)),flip(a)]. given #1485 (H,wt=24): 488 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(263(a,1),149(a,1,2,1))]. given #1486 (H,wt=24): 489 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(112(a,1),149(a,1,2,1))]. given #1487 (H,wt=24): 742 (x * y) * T((x * y) \ x,z) != u | x * (y * T(y \ 1,z)) = u. [para(344(a,2),224(a,1,2))]. given #1488 (H,wt=24): 748 (x \ y) * L((x \ y) \ y,z,u) != w | L(x,z,u) * (x \ y) = w. [para(277(a,1),225(a,1,2))]. given #1489 (H,wt=24): 771 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(578(a,1),193(a,1,1))]. given #1490 (H,wt=21): 1765 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(81,a,556,a(flip),b,771,a)]. given #1491 (H,wt=21): 1766 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(21(a,1),1765(a,1,1,1)),flip(a)]. given #1492 (H,wt=23): 1767 x * R(x \ K(x,x \ 1),y,z) = R(1 / x,y,z) / (x \ 1). [para(1455(a,1),1765(a,1,1,1)),flip(a)]. given #1493 (H,wt=19): 1768 R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). [para(1450(a,1),1767(a,1,2,1)),flip(a)]. given #1494 (H,wt=24): 785 ((x \ y) * (y \ (x * z))) / (x \ y) = L(z / (x \ y),x \ y,x). [para(439(a,1),585(a,1,1,2))]. given #1495 (H,wt=24): 806 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(439(a,1),767(a,2,1,2))]. given #1496 (H,wt=24): 811 R((x * y) / x,z,u) * x != w * v5 | (x * R(y,z,u)) / v5 = w. [para(775(a,2),369(a,1,1))]. given #1497 (H,wt=24): 829 (x \ y) * R((x \ y) \ y,z,u) != w | R(x,z,u) * (x \ y) = w. [para(128(a,1),363(a,1,2,1))]. given #1498 (H,wt=24): 835 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [para(50(a,1),430(a,1,2))]. given #1499 (H,wt=24): 840 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(443(a,1),49(a,1,1)),flip(a)]. given #1500 (H,wt=24): 841 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(443(a,1),50(a,1,1)),flip(a)]. given #1501 (H,wt=24): 971 (x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z. [para(968(a,1),173(a,2)),flip(a)]. given #1502 (H,wt=24): 1033 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(19(a,1),1027(a,1,1,2,1))]. given #1503 (H,wt=17): 1772 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(342(a,1),1033(a,1,2))]. given #1504 (H,wt=17): 1773 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [para(1772(a,1),70(a,1,2))]. given #1505 (H,wt=24): 1057 L(T(x / y,z),u,w) * y != v5 | y * L(T(y \ x,z),u,w) = v5. [para(400(a,1),801(a,1,1,1))]. given #1506 (H,wt=24): 1058 R(x / (x / y),z,u) * (x / y) != w | (x / y) * R(y,z,u) = w. [para(21(a,1),807(a,1,1,1,1))]. given #1507 (H,wt=24): 1151 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(241(a,1),1017(a,1,2)),flip(a)]. given #1508 (H,wt=24): 1163 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(1159(a,1),104(a,1,1))]. given #1509 (H,wt=24): 1169 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(342(a,1),1168(a,1,2)),flip(a)]. given #1510 (H,wt=17): 1774 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(342(a,1),1169(a,1,1)),flip(a)]. given #1511 (H,wt=17): 1776 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1774(a,1),19(a,1,2))]. given #1512 (H,wt=21): 1775 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(18(a,1),1774(a,1,2)),flip(a)]. given #1513 (H,wt=17): 1779 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(18(a,1),1775(a,1,1)),flip(a)]. given #1514 (H,wt=17): 1780 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(1779(a,1),19(a,1,2))]. given #1515 (H,wt=24): 1181 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(80,a,351,a(flip),b,1179,a),flip(a)]. given #1516 (H,wt=17): 1781 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(255,a,708,a(flip),b,1181,a(flip))]. given #1517 (H,wt=21): 1782 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(70(a,1),1781(a,1,2)),flip(a)]. given #1518 (H,wt=17): 1783 (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). [hyper(302,a,1782,a),flip(a)]. given #1519 (H,wt=17): 1785 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [para(1783(a,1),19(a,1,2))]. given #1520 (H,wt=24): 1230 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1227(a,1),721(a,1,1))]. given #1521 (H,wt=20): 1788 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(400(a,1),1230(a,1,2)),flip(a)]. given #1522 (H,wt=16): 1789 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(400(a,1),1788(a,1,2)),flip(a)]. given #1523 (H,wt=22): 1790 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1789(a,1),51(a,1,1)),flip(a)]. given #1524 (H,wt=24): 1275 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1274(a,1),149(a,1,1))]. given #1525 (H,wt=24): 1291 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1218(a,1),304(a,1,1)),flip(b)]. given #1526 (H,wt=24): 1374 (L(x,y \ z,y) * z) \ (x * z) != u | a(y,y \ z,T(x,z)) = u. [para(1372(a,1),219(a,1,1)),flip(b)]. given #1527 (H,wt=24): 1430 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1424(a,1),31(a,2,1)),flip(a)]. given #1528 (H,wt=24): 1436 L(x,y,z) * (x * u) != w * v5 | w \ (x * (L(x,y,z) * u)) = v5. [para(1422(a,1),368(a,1,2))]. given #1529 (H,wt=24): 1437 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1422(a,1),1375(a,1,1,1)),flip(a)]. given #1530 (H,wt=20): 1793 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(20(a,1),1437(a,2,1))]. given #1531 (H,wt=20): 1794 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1793(a,1),397(a,1,1)),flip(a)]. given #1532 (H,wt=18): 1795 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(22,a,183,a,b,1794,a),flip(a)]. given #1533 (H,wt=24): 1465 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). [para(1446(a,1),112(a,1,1))]. given #1534 (H,wt=24): 1466 T(x,x \ 1) \ (K(x,x \ 1) * y) = L(x \ y,x,K(x,x \ 1)). [para(1446(a,1),114(a,2,1)),flip(a)]. given #1535 (H,wt=24): 1474 ((x \ 1) \ 1) / L(y \ x,y,K(x,x \ 1)) = K(x,x \ 1) * y. [para(1456(a,1),417(a,1,1))]. given #1536 (H,wt=24): 1485 x * (T(x,y) \ K(x \ 1,x)) != z | T(x,y) \ (1 / (1 / x)) = z. [para(1480(a,1),1106(a,1,2,2))]. given #1537 (H,wt=24): 1525 T(x,x \ 1) * L(y,K(x,x \ 1),x) = x * (K(x,x \ 1) * y). [para(1522(a,1),112(a,1,1))]. given #1538 (H,wt=24): 1526 L(K(x,x \ 1) \ y,K(x,x \ 1),x) = T(x,x \ 1) \ (x * y). [para(1522(a,1),114(a,2,1))]. given #1539 (H,wt=24): 1548 K(x,x \ 1) * L(x,y,z) != x * u | L(x,y,z) * (1 / x) = u. [para(1543(a,2),24(a,1))]. given #1540 (H,wt=24): 1659 T(x,y) \ T(x * T(x \ 1,z),y) != u | T(T(x,y) \ 1,z) = u. [para(1649(a,1),222(a,1,2)),flip(b)]. given #1541 (H,wt=24): 1660 T(x * T(x \ 1,T(x,y)),y) != z * T(x,y) | T(x,y) \ 1 = z. [para(1649(a,1),174(a,1)),flip(b)]. given #1542 (H,wt=24): 1738 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(1737(a,1),667(a,1,1)),flip(a)]. given #1543 (H,wt=23): 1797 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(255,a,667,a(flip),b,1738,a)]. given #1544 (H,wt=19): 1798 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(31(a,2),1797(a,2,1))]. given #1545 (H,wt=15): 1799 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(31(a,2),1798(a,1,1))]. given #1546 (H,wt=19): 1800 T(K(1 / x,y),1 / x) = T(K(1 / x,y),x \ 1). [para(564(a,1),1799(a,1,2)),flip(a)]. given #1547 (H,wt=23): 1801 (1 / x) * T(K(1 / x,y),x \ 1) = K(1 / x,y) * (1 / x). [para(1800(a,1),127(a,1,2))]. given #1548 (H,wt=24): 1769 (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). [para(351(a,1),1768(a,1,1)),flip(a)]. given #1549 (H,wt=17): 1802 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [para(351(a,1),1769(a,1,2)),flip(a)]. given #1550 (H,wt=17): 1803 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [para(1802(a,1),21(a,1,1))]. given #1551 (H,wt=20): 1806 ((x / y) * (y / x)) * ((x / y) \ 1) != z | y / x = z. [para(1802(a,1),226(a,1,1)),flip(b)]. given #1552 (H,wt=21): 1804 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [para(70(a,1),1802(a,1,1)),flip(a)]. given #1553 (H,wt=17): 1807 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(70(a,1),1804(a,1,2)),flip(a)]. given #1554 (H,wt=21): 1805 (x / (y \ x)) * ((y \ x) / x) = ((y \ x) / x) / (y \ 1). [para(70(a,1),1802(a,1,2,1)),flip(a)]. given #1555 (H,wt=17): 1809 ((x \ y) / y) / (x \ 1) = x * ((x \ y) / y). [hyper(302,a,1805,a),flip(a)]. given #1556 (H,wt=17): 1811 (x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y. [para(1809(a,1),21(a,1,1))]. given #1557 (H,wt=20): 1812 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [hyper(255,a,350,a,b,1811,a)]. given #1558 (H,wt=24): 1792 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(255,a,1448,a,b,1275,a)]. given #1559 (H,wt=24): 1796 L(K(x,x \ 1) \ y,K(x,x \ 1),x) = x * (((x \ 1) \ 1) \ y). [hyper(255,a,1105,a(flip),b,1526,a)]. given #1560 (H,wt=25): 684 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(163(a,2),474(a,1,1,2))]. given #1561 (H,wt=25): 749 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(104(a,1),422(a,1,1)),flip(a)]. given #1562 (H,wt=25): 814 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(775(a,1),230(a,1,1))]. given #1563 (H,wt=25): 869 (x / y) * R((x / y) \ 1,x / y,y) != z | (y / x) * (x / y) = z. [para(591(a,2),225(a,1,2))]. given #1564 (H,wt=25): 877 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(81,a,633,a(flip),b,127,a)]. given #1565 (H,wt=25): 933 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(21(a,1),860(a,1,2,1))]. given #1566 (H,wt=25): 1004 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(114(a,1),428(a,1,2,1))]. given #1567 (H,wt=25): 1005 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(241(a,1),428(a,1,2,1))]. given #1568 (H,wt=23): 1814 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(255,a,1639,a(flip),b,1005,a(flip))]. given #1569 (H,wt=25): 1007 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(114(a,1),429(a,1,2,1))]. given #1570 (H,wt=25): 1008 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(241(a,1),429(a,1,2,1))]. given #1571 (H,wt=23): 1816 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(255,a,1643,a(flip),b,1008,a(flip))]. given #1572 (H,wt=22): 1817 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1489(a,1),1816(a,2,1,2))]. given #1573 (H,wt=19): 1818 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1747(a,1),1817(a,1,2))]. given #1574 (H,wt=19): 1820 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1448(a,2),1818(a,2,1))]. given #1575 (H,wt=19): 1821 x \ (K(x,x \ 1) * y) = K(x,x \ 1) * (x \ y). [hyper(87,a,1820,a)]. given #1576 (H,wt=19): 1823 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(18(a,1),1820(a,1,2,2)),flip(a)]. given #1577 (H,wt=20): 1819 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(22,a,112,a(flip),b,1818,a)]. given #1578 (H,wt=21): 1822 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(22,a,1543,a(flip),b,1820,a)]. given #1579 (H,wt=21): 1824 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(37(a,2),1820(a,1,2,2))]. given #1580 (H,wt=23): 1828 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(1819(a,1),24(a,1)),flip(a)]. given #1581 (H,wt=24): 1827 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y). [hyper(255,a,1465,a,b,1823,a(flip)),flip(a)]. given #1582 (H,wt=17): 1830 L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). [hyper(22,a,1525,a,b,1827,a),flip(a)]. given #1583 (H,wt=25): 1012 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(123(a,1),460(a,1,1,1))]. given #1584 (H,wt=21): 1833 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(801,a,1012,a),flip(a)]. given #1585 (H,wt=17): 1835 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(571(a,1),1833(a,1,1))]. given #1586 (H,wt=15): 1837 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(371,a,1835,a),flip(a)]. given #1587 (H,wt=17): 1836 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(535,a,1835,a)]. given #1588 (H,wt=17): 1838 ((x / y) * L(y,z,u)) * y = x * L(y,z,u). [hyper(255,a,98,a(flip),b,1835,a)]. given #1589 (H,wt=17): 1839 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(87,a,1835,a)]. given #1590 (H,wt=17): 1840 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(80,a,98,a(flip),b,1835,a)]. given #1591 (H,wt=17): 1842 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(172,a,1837,a,b,19,a)]. given #1592 (H,wt=18): 1844 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [hyper(81,a,112,a(flip),b,1838,a),flip(a)]. given #1593 (H,wt=18): 1845 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1839(a,1),1061(a,1,1)),flip(a)]. given #1594 (H,wt=18): 1847 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(87,a,1844,a),flip(a)]. given #1595 (H,wt=19): 1849 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1845(a,1),573(a,1,2))]. given #1596 (H,wt=19): 1850 L(x,y,z) / T(x,x \ 1) = (x \ 1) * L(x,y,z). [hyper(81,a,62,a(flip),b,1849,a)]. given #1597 (H,wt=20): 1843 x / L(x,y,z) != x * u | T(1 / L(x,y,z),x) = u. [para(1837(a,1),173(a,2)),flip(a)]. given #1598 (H,wt=22): 1846 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1842(a,1),185(a,1,1))]. given #1599 (H,wt=25): 1013 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(253(a,1),460(a,1,1,1)),flip(a)]. given #1600 (H,wt=25): 1014 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(123(a,1),461(a,1,1,1))]. given #1601 (H,wt=25): 1019 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(494(a,1),492(a,1,2,1))]. given #1602 (H,wt=21): 1853 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(255,a,184,a(flip),b,1019,a)]. given #1603 (H,wt=25): 1053 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(768(a,1),112(a,1,2))]. given #1604 (H,wt=25): 1059 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(808(a,1),122(a,1,1))]. given #1605 (H,wt=25): 1121 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(379(a,1),1115(a,2,2)),flip(a)]. given #1606 (H,wt=20): 1858 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(814,a,1121,a)]. given #1607 (H,wt=18): 1859 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1194(a,1),1858(a,1,1))]. given #1608 (H,wt=18): 1860 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(96,a,1859,a)]. given #1609 (H,wt=20): 1861 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(167(a,1),1859(a,1,1,2)),flip(a)]. given #1610 (H,wt=21): 1862 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(1859(a,1),304(a,1,1)),flip(b)]. given #1611 (H,wt=25): 1186 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(172,a,1185,a,b,19,a),flip(a)]. given #1612 (H,wt=25): 1226 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(73(a,1),1170(a,1,1,1,2))]. given #1613 (H,wt=21): 1867 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(73(a,1),1226(a,1,2)),flip(a)]. given #1614 (H,wt=19): 1868 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(16(a,1),1867(a,2,1,1))]. given #1615 (H,wt=14): 1869 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1868(a,1),1720(a,1,2))]. given #1616 (H,wt=22): 1870 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1869(a,1),404(a,1,1,2)),flip(a)]. given #1617 (H,wt=25): 1293 L((x \ 1) \ ((1 / (x \ 1)) \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(70(a,1),1225(a,2,2,1))]. given #1618 (H,wt=21): 1871 L((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(70(a,1),1293(a,1,1,2,1))]. given #1619 (H,wt=25): 1322 (L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * y. [para(474(a,1),654(a,1,1,1)),flip(a)]. given #1620 (H,wt=25): 1324 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(439(a,1),673(a,1,2,1)),flip(a)]. given #1621 (H,wt=25): 1325 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(678(a,1),418(a,1,2)),flip(a)]. given #1622 (H,wt=25): 1326 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(683(a,1),300(a,1,1)),flip(a)]. given #1623 (H,wt=23): 1875 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(16(a,1),1326(a,2,1,1,1))]. given #1624 (H,wt=23): 1876 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(255,a,578,a(flip),b,1875,a)]. given #1625 (H,wt=23): 1877 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(578(a,1),1876(a,1,1))]. given #1626 (H,wt=23): 1878 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(96,a,1877,a),flip(a)]. given #1627 (H,wt=25): 1329 (x \ y) * (y \ x) != z * (x \ y) | L(1 / (x \ y),x \ y,x) = z. [para(764(a,1),25(a,1))]. given #1628 (H,wt=25): 1330 (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). [para(112(a,1),774(a,1,1,1,1))]. given #1629 (H,wt=22): 1880 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(255,a,428,a(flip),b,1330,a)]. given #1630 (H,wt=24): 1881 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(127(a,1),1880(a,1,1,1,1,2))]. given #1631 (H,wt=22): 1882 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(184(a,1),1881(a,2,2))]. given #1632 (H,wt=25): 1333 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(803(a,1),419(a,1,2)),flip(a)]. given #1633 (H,wt=25): 1389 (x * y) \ ((z * y) * R(x / z,z,y)) = K(z * y,R(x / z,z,y)). [para(21(a,1),456(a,1,1,1))]. given #1634 (H,wt=25): 1400 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(848(a,1),1399(a,1,2)),flip(a)]. given #1635 (H,wt=25): 1401 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(935(a,1),1399(a,1,2)),flip(a)]. given #1636 (H,wt=25): 1432 T((1 / x) * (L(x,y,z) \ x),x) = (1 / x) * ((L(x,y,z) \ 1) * x). [para(1424(a,1),858(a,1,1,2))]. given #1637 (H,wt=25): 1438 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(189(a,2),1423(a,1,2))]. given #1638 (H,wt=25): 1499 L(1 / x,y,z) * K(x \ 1,x) = K(x \ 1,x) * L(1 / x,y,z). [para(1486(a,1),183(a,1,2,1)),flip(a)]. given #1639 (H,wt=25): 1536 K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(T(x,x \ 1),T(x \ 1,x)). [para(1247(a,1),1533(a,1,1)),flip(a)]. given #1640 (H,wt=25): 1542 K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1491(a,1),433(a,1,2))]. given #1641 (H,wt=25): 1546 K(T((x \ 1) \ 1,x \ 1),T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). [hyper(255,a,1524,a(flip),b,1545,a)]. given #1642 (H,wt=23): 1885 K(T(x \ 1,x) \ 1,T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). [para(1252(a,1),1546(a,1,1))]. given #1643 (H,wt=19): 1886 K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(x,x \ 1). [para(1251(a,1),1885(a,1,2))]. given #1644 (H,wt=17): 1887 K(T(x,x \ 1),T(x \ 1,x)) = K(x,x \ 1). [hyper(255,a,1536,a(flip),b,1886,a(flip)),flip(a)]. given #1645 (H,wt=19): 1888 K(T(x,x \ 1),T(x,x \ 1) \ 1) = K(x,x \ 1). [para(1242(a,2),1887(a,1,2))]. given #1646 (H,wt=25): 1551 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(167(a,1),917(a,1,2,2))]. given #1647 (H,wt=23): 1890 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(1341(a,1),1551(a,1,2))]. given #1648 (H,wt=25): 1593 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(70(a,1),1592(a,1,2,1,1)),flip(a)]. given #1649 (H,wt=21): 1891 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(70(a,1),1593(a,1,1,1)),flip(a)]. given #1650 (H,wt=25): 1614 x * K(x \ (x / T(x,y)),x) != z | L(x,T(x,y) \ 1,T(x,y)) = z. [para(1207(a,1),537(a,1))]. given #1651 (H,wt=25): 1657 T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). [para(128(a,1),1656(a,1,1,2,2)),flip(a)]. given #1652 (H,wt=25): 1662 T(x,y) \ T(x * T(x \ 1,x),y) = T(T(x,y) \ 1,T(x,x \ 1)). [para(1246(a,1),1650(a,1,2,1,2))]. given #1653 (H,wt=19): 1892 T(T(x,y) \ 1,T(x,x \ 1)) = T(T(x,y) \ 1,x). [hyper(1659,a,1662,a),flip(a)]. given #1654 (H,wt=19): 1893 T(T(x,y) \ 1,(x \ 1) \ 1) = T(T(x,y) \ 1,x). [para(128(a,1),1892(a,1,2))]. given #1655 (H,wt=25): 1665 ((x * y) / x) \ ((x * K(y \ 1,y)) / x) = T(((x * y) / x) \ 1,y). [hyper(80,a,1664,a(flip),b,1200,a(flip))]. given #1656 (H,wt=25): 1670 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(255,a,656,a(flip),b,1638,a(flip))]. given #1657 (H,wt=23): 1895 (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). [para(656(a,1),1670(a,1,1))]. given #1658 (H,wt=25): 1690 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(571(a,1),1681(a,1,1,1)),flip(a)]. given #1659 (H,wt=25): 1708 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1704(a,1),1108(a,1,1,1)),flip(a)]. given #1660 (H,wt=24): 1896 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(587(a,1),1708(a,1,2))]. given #1661 (H,wt=25): 1712 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1703(a,1),548(a,1,1,2))]. given #1662 (H,wt=25): 1777 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(172,a,1776,a,b,19,a)]. given #1663 (H,wt=25): 1786 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(172,a,1785,a,b,19,a)]. given #1664 (H,wt=25): 1791 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1789(a,1),1318(a,1,1))]. given #1665 (H,wt=23): 1897 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(185(a,1),1791(a,1,2))]. given #1666 (H,wt=21): 1898 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(255,a,1698,a(flip),b,1897,a)]. given #1667 (H,wt=25): 1831 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(1 / y,y),1 / y). [para(73(a,1),1830(a,1,2,2)),flip(a)]. given #1668 (H,wt=25): 1832 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). [para(1529(a,1),1830(a,1,2)),flip(a)]. given #1669 (H,wt=25): 1834 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(780,a,1012,a)]. given #1670 (H,wt=25): 1851 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(255,a,570,a(flip),b,1013,a)]. given #1671 (H,wt=25): 1852 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(788,a,1014,a)]. given #1672 (H,wt=25): 1856 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [hyper(916,a,1059,a)]. given #1673 (H,wt=25): 1863 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1860(a,1),949(a,1,3)),flip(a)]. given #1674 (H,wt=25): 1866 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1186(a,1),374(a,1))]. given #1675 (H,wt=25): 1872 (L(x / (y / z),u,w) * (y / z)) * z = y * L(y \ (x * z),u,w). [hyper(255,a,570,a(flip),b,1322,a)]. given #1676 (H,wt=25): 1873 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(87,a,1324,a)]. given #1677 (H,wt=23): 1905 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(17(a,1),1873(a,1,2,2,1,2)),flip(a)]. given #1678 (H,wt=25): 1874 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(87,a,1325,a)]. given #1679 (H,wt=23): 1907 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(17(a,1),1874(a,1,2,2,1,2)),flip(a)]. given #1680 (H,wt=25): 1883 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(87,a,1333,a)]. given #1681 (H,wt=21): 1908 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(19(a,1),1883(a,1,2,2,1))]. given #1682 (H,wt=17): 1909 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(412,a,1908,a)]. given #1683 (H,wt=17): 1911 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(255,a,1392,a(flip),b,1909,a)]. given #1684 (H,wt=17): 1916 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1909(a,2),1378(a,1,2))]. given #1685 (H,wt=17): 1918 x * K(y,(y / (x \ 1)) / y) = (y * x) / y. [para(1911(a,2),19(a,1,2))]. given #1686 (H,wt=17): 1921 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(70(a,1),1916(a,1,2,2,1)),flip(a)]. given #1687 (H,wt=19): 1912 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(70(a,1),1909(a,1,2,1)),flip(a)]. given #1688 (H,wt=20): 1910 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1908(a,1),412(a,1))]. given #1689 (H,wt=20): 1922 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(121(a,2),1921(a,1,2))]. given #1690 (H,wt=16): 1923 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(20(a,1),1922(a,2,2,2))]. given #1691 (H,wt=21): 1913 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(941(a,1),1909(a,1,2)),flip(a)]. given #1692 (H,wt=24): 1914 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1041(a,1),1909(a,1,2)),flip(a)]. given #1693 (H,wt=24): 1924 T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). [para(1923(a,1),1075(a,1,2,1)),flip(a)]. given #1694 (H,wt=19): 1926 x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). [para(1923(a,1),1924(a,1,1)),flip(a)]. given #1695 (H,wt=17): 1927 (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). [para(17(a,1),1926(a,1,2)),flip(a)]. given #1696 (H,wt=13): 1928 (x * K(x,y)) * (x \ 1) = K(x,y). [hyper(255,a,18,a(flip),b,1927,a)]. given #1697 (H,wt=13): 1930 K(x,y) / (x \ 1) = x * K(x,y). [hyper(81,a,18,a(flip),b,1927,a)]. given #1698 (H,wt=16): 1933 K(x,y) / (x \ 1) != z | x * K(x,y) = z. [para(1928(a,1),304(a,1,1)),flip(b)]. given #1699 (H,wt=17): 1929 T(x * K(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(172,a,1927,a,b,259,a(flip))]. given #1700 (H,wt=24): 1931 x \ (x * K(x,y)) != (x \ 1) * z | T(x * K(x,y),x \ 1) = z. [para(1927(a,1),173(a,2)),flip(a)]. given #1701 (H,wt=25): 1884 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(255,a,1499,a,b,1542,a(flip)),flip(a)]. given #1702 (H,wt=25): 1894 ((x \ 1) \ 1) * T(T(x,y) \ 1,x) = (T(x,y) \ 1) * ((x \ 1) \ 1). [para(1893(a,1),127(a,1,2))]. given #1703 (H,wt=25): 1900 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(570(a,1),1834(a,2,1))]. given #1704 (H,wt=23): 1936 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(172,a,1900,a(flip),b,1008,a(flip)),flip(a)]. given #1705 (H,wt=21): 1938 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(37(a,2),1936(a,1,2,1,2)),flip(a)]. given #1706 (H,wt=21): 1939 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(80,a,1938,a,b,xx)]. given #1707 (H,wt=21): 1940 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(18(a,1),1939(a,1,2,1,2,1)),flip(a)]. given #1708 (H,wt=21): 1942 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1684(a,1),1940(a,1,1)),flip(a)]. given #1709 (H,wt=21): 1943 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(255,a,1690,a(flip),b,1942,a(flip))]. given #1710 (H,wt=25): 1901 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(570(a,1),1851(a,1,1))]. given #1711 (H,wt=25): 1902 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(578(a,1),1852(a,2,1))]. given #1712 (H,wt=21): 1949 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(18(a,1),1902(a,1,2,1)),flip(a)]. given #1713 (H,wt=17): 1951 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(18(a,1),1949(a,1,1,2,1))]. given #1714 (H,wt=15): 1952 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(371,a,1951,a),flip(a)]. given #1715 (H,wt=17): 1953 ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. [hyper(308,a,1951,a),flip(a)]. given #1716 (H,wt=17): 1954 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(87,a,1951,a)]. given #1717 (H,wt=18): 1956 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1954(a,1),1061(a,1,1)),flip(a)]. given #1718 (H,wt=19): 1958 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1956(a,1),573(a,1,2))]. given #1719 (H,wt=19): 1959 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(81,a,62,a(flip),b,1958,a)]. given #1720 (H,wt=19): 1962 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(255,a,601,a(flip),b,1959,a(flip)),flip(a)]. given #1721 (H,wt=20): 1955 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1953(a,1),304(a,1,1)),flip(b)]. given #1722 (H,wt=20): 1961 (x * y) * R(x,y,T(x,y)) = T(x * y,x) * T(x,y). [para(987(a,1),1958(a,1,1)),flip(a)]. given #1723 (H,wt=23): 1947 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(172,a,1902,a(flip),b,1005,a(flip)),flip(a)]. given #1724 (H,wt=21): 1963 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(37(a,2),1947(a,1,2,1,2)),flip(a)]. given #1725 (H,wt=21): 1964 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(81,a,1963,a,b,578,a)]. given #1726 (H,wt=21): 1965 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(80,a,1963,a,b,xx)]. given #1727 (H,wt=21): 1966 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(18(a,1),1964(a,1,1,1,2,1)),flip(a)]. given #1728 (H,wt=25): 1903 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(789(a,1),1856(a,2,1))]. given #1729 (H,wt=23): 1969 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(255,a,1053,a(flip),b,1903,a(flip))]. given #1730 (H,wt=25): 1904 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). [para(570(a,1),1872(a,1,1))]. given #1731 (H,wt=25): 1925 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(398(a,2),1913(a,1,2,1))]. given #1732 (H,wt=25): 1934 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(255,a,1008,a(flip),b,1900,a(flip)),flip(a)]. given #1733 (H,wt=25): 1945 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(255,a,1005,a(flip),b,1902,a(flip)),flip(a)]. given #1734 (H,wt=25): 1957 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1956(a,1),184(a,1,2)),flip(a)]. given #1735 (H,wt=25): 1970 (x * (((x * y) * (x \ 1)) / (x * y))) * y = (x * y) * (y / (x * y)). [para(19(a,1),1903(a,1,2,1)),flip(a)]. given #1736 (H,wt=25): 1973 (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). [hyper(96,a,1904,a)]. given #1737 (H,wt=23): 1975 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [para(16(a,1),1973(a,1,1,2,1,2)),flip(a)]. given #1738 (H,wt=26): 423 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(112(a,1),33(a,2,1)),flip(a)]. given #1739 (H,wt=26): 448 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(112(a,1),114(a,2,1))]. given #1740 (H,wt=19): 1977 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(255,a,29,a,b,448,a),flip(a)]. given #1741 (H,wt=26): 458 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(122(a,1),35(a,2,2)),flip(a)]. given #1742 (H,wt=26): 470 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(122(a,1),122(a,1,2))]. given #1743 (H,wt=26): 481 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(122(a,1),123(a,2,2))]. given #1744 (H,wt=26): 597 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). [hyper(80,a,273,a(flip),b,112,a)]. given #1745 (H,wt=26): 599 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(273(a,2),33(a,2,1)),flip(a)]. given #1746 (H,wt=17): 1978 L(x,y,T(z,z \ u)) = L(x,y,(z \ u) \ u). [hyper(255,a,597,a(flip),b,599,a(flip)),flip(a)]. given #1747 (H,wt=26): 600 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(273(a,2),272(a,1,1))]. given #1748 (H,wt=26): 694 (x \ 1) \ ((1 / x) * (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [para(691(a,1),33(a,2,1)),flip(a)]. given #1749 (H,wt=26): 696 (x \ 1) * L(y,K(x \ 1,x),1 / x) = (1 / x) * (K(x \ 1,x) * y). [para(691(a,1),112(a,1,1))]. given #1750 (H,wt=26): 699 x / L(K(y \ 1,y),1 / y,x / (y \ 1)) = (x / (y \ 1)) * (1 / y). [para(692(a,1),446(a,1,2,1))]. given #1751 (H,wt=26): 701 (x \ y) * T((x \ y) \ y,z) != u * w | u \ (T(x,z) * (x \ y)) = w. [para(276(a,1),516(a,1,2))]. given #1752 (H,wt=26): 709 R(x \ 1,x,y) \ ((y / (x * y)) * x) != z | T(x,R(x \ 1,x,y)) = z. [para(593(a,2),223(a,1,2))]. given #1753 (H,wt=26): 752 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(112(a,1),431(a,1,2,2))]. given #1754 (H,wt=26): 825 (x * y) * L((x * y) \ x,z,u) != w | x * (y * L(y \ 1,z,u)) = w. [para(346(a,1),224(a,1,2))]. given #1755 (H,wt=26): 839 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(442(a,2),224(a,1,2))]. given #1756 (H,wt=26): 847 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(127(a,1),486(a,1,2))]. given #1757 (H,wt=26): 849 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(505(a,1),224(a,1,2))]. given #1758 (H,wt=26): 914 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(255,a,385,a,b,789,a(flip)),flip(a)]. given #1759 (H,wt=23): 1980 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(813(a,1),914(a,1,1))]. given #1760 (H,wt=26): 921 T(x,y) * (x * y) != T(x,y) * z | T(T(x,x * y) * y,T(x,y)) = z. [para(843(a,1),173(a,2)),flip(a)]. given #1761 (H,wt=26): 930 (1 / x) \ T((1 / x) * y,z) != u * w | u \ (x * T(x \ y,z)) = w. [para(855(a,1),309(a,1,2))]. given #1762 (H,wt=26): 985 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(193(a,1),982(a,1,1,1,1))]. given #1763 (H,wt=25): 1982 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(193(a,1),985(a,1,2))]. given #1764 (H,wt=25): 1983 T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(47(a,2),1982(a,1,1,1))]. given #1765 (H,wt=18): 1984 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(385(a,1),1983(a,1,1))]. given #1766 (H,wt=22): 1985 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1984(a,1),43(a,1,1)),flip(a)]. given #1767 (H,wt=18): 1986 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(920(a,1),1985(a,1,1))]. given #1768 (H,wt=22): 1987 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(21(a,1),1986(a,1,1)),flip(a)]. given #1769 (H,wt=19): 1988 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(472(a,1),1987(a,2,2))]. given #1770 (H,wt=15): 1989 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(21(a,1),1988(a,1,1))]. given #1771 (H,wt=13): 1990 T(x,x * (y \ 1)) = T(x,y \ x). [para(129(a,1),1989(a,1,2)),flip(a)]. given #1772 (H,wt=13): 1991 T(x,(1 / y) \ x) = T(x,x * y). [para(73(a,1),1990(a,1,2,2)),flip(a)]. given #1773 (H,wt=26): 1211 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(587(a,1),1203(a,2,1))]. given #1774 (H,wt=26): 1223 (x \ (y \ x)) * x != (y \ x) * z | T(y * T(y \ 1,x),y \ x) = z. [para(1221(a,2),173(a,2)),flip(a)]. given #1775 (H,wt=26): 1224 T(x * T(x \ 1,L(x,y,z)),x \ L(x,y,z)) = K(x \ 1,L(x,y,z)). [para(1154(a,1),1222(a,2,1))]. given #1776 (H,wt=26): 1309 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [hyper(172,a,1302,a(flip),b,242,a),flip(a)]. given #1777 (H,wt=26): 1380 x \ T(x,x / (x * y)) != z * u | (y * ((x * (y \ 1)) / x)) / u = z. [para(1378(a,1),416(a,1,2))]. given #1778 (H,wt=26): 1383 (x \ 1) * R((x \ 1) \ 1,y,z) != u * w | (x \ R(x,y,z)) / w = u. [para(581(a,2),1166(a,1))]. given #1779 (H,wt=26): 1390 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(619(a,2),24(a,1))]. given #1780 (H,wt=26): 1415 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1161(a,1),1414(a,1,1,2,1))]. given #1781 (H,wt=25): 1992 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(190(a,1),1415(a,1,1))]. given #1782 (H,wt=24): 1993 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1496(a,1),1992(a,1,1))]. given #1783 (H,wt=26): 1425 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). [hyper(172,a,1418,a(flip),b,242,a),flip(a)]. given #1784 (H,wt=26): 1426 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(80,a,1418,a(flip),b,104,a)]. given #1785 (H,wt=26): 1487 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1481(a,1),112(a,1,1))]. given #1786 (H,wt=23): 1994 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(1064,a,1487,a(flip))]. given #1787 (H,wt=26): 1488 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(1481(a,1),114(a,2,1))]. given #1788 (H,wt=26): 1568 x * K(y \ (y / (x \ z)),y) != u * w | u \ (z * T(z \ x,y)) = w. [para(1559(a,2),368(a,1,2))]. given #1789 (H,wt=26): 1596 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(1083(a,1),1595(a,1,1,2,1))]. given #1790 (H,wt=25): 1995 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(477(a,1),1596(a,2,2))]. given #1791 (H,wt=23): 1996 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(16(a,1),1995(a,2,2,1))]. given #1792 (H,wt=21): 1997 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1667(a,1),1996(a,1,1))]. given #1793 (H,wt=17): 1998 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(226,a,1997,a)]. given #1794 (H,wt=19): 2000 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(255,a,1668,a,b,1998,a(flip)),flip(a)]. given #1795 (H,wt=21): 2001 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1667(a,2),2000(a,1,2))]. given #1796 (H,wt=26): 1648 K(x \ (x / T(y,z)),x) != u * w | u \ T(y * T(y \ 1,x),z) = w. [para(1645(a,2),414(a,1))]. given #1797 (H,wt=26): 1694 x * T(x \ T(y,x),z) != u * w | u \ T(x * T(x \ y,z),x) = w. [para(1675(a,1),368(a,1,2))]. given #1798 (H,wt=26): 1848 (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. [para(1844(a,1),173(a,2)),flip(a)]. given #1799 (H,wt=26): 1864 T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1 = x \ (((T(y,x) \ y) * x) \ x). [para(1861(a,1),1091(a,1,2,1)),flip(a)]. given #1800 (H,wt=21): 2002 x \ (((T(y,x) \ y) * x) \ x) = ((T(y,x) \ y) * x) \ 1. [para(1861(a,1),1864(a,1,1)),flip(a)]. given #1801 (H,wt=26): 1979 (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [hyper(255,a,1193,a(flip),b,694,a(flip)),flip(a)]. given #1802 (H,wt=27): 441 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(29(a,2),114(a,1,1)),flip(a)]. given #1803 (H,wt=27): 640 L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). [para(112(a,1),115(a,1,2,2)),flip(a)]. given #1804 (H,wt=27): 710 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(593(a,1),272(a,1,1))]. given #1805 (H,wt=27): 757 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(263(a,1),454(a,2,2))]. given #1806 (H,wt=27): 1044 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1040(a,1),114(a,2,1))]. given #1807 (H,wt=27): 1067 R(x,y \ 1,y) * K(y \ 1,y) != z * u | z \ ((x * (y \ 1)) * y) = u. [para(189(a,2),515(a,1,2))]. given #1808 (H,wt=27): 1165 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1159(a,1),627(a,2,1))]. given #1809 (H,wt=25): 2004 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1712(a,1),1165(a,1,1))]. given #1810 (H,wt=23): 2005 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(255,a,186,a(flip),b,2004,a(flip)),flip(a)]. given #1811 (H,wt=27): 1177 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1173(a,1),114(a,2,1))]. given #1812 (H,wt=27): 1209 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1116(a,1),1201(a,1,2,1,2))]. given #1813 (H,wt=25): 2006 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(896(a,1),1209(a,1,2,1))]. given #1814 (H,wt=25): 2007 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(2006(a,1),19(a,1,2))]. given #1815 (H,wt=23): 2008 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(255,a,1555,a(flip),b,2007,a(flip))]. given #1816 (H,wt=27): 1292 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(255,a,394,a(flip),b,1220,a)]. given #1817 (H,wt=27): 1311 R(x,y,z) * (x * u) != (R(x,y,z) * u) * w | T(x,R(x,y,z) * u) = w. [para(1302(a,2),173(a,2)),flip(a)]. given #1818 (H,wt=27): 1331 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(114(a,1),802(a,1,2,1,2))]. given #1819 (H,wt=27): 1332 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(241(a,1),802(a,1,2,1,2))]. given #1820 (H,wt=27): 1337 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(838(a,1),430(a,1,2))]. given #1821 (H,wt=21): 2010 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [hyper(172,a,1638,a(flip),b,1337,a(flip)),flip(a)]. given #1822 (H,wt=26): 2011 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(1109(a,1),1337(a,2,2))]. given #1823 (H,wt=22): 2012 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(31(a,2),2011(a,1,2,1)),flip(a)]. given #1824 (H,wt=27): 1428 L(x,y,z) * (x * u) != (L(x,y,z) * u) * w | T(x,L(x,y,z) * u) = w. [para(1418(a,2),173(a,2)),flip(a)]. given #1825 (H,wt=27): 1467 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1446(a,1),422(a,1,1))]. given #1826 (H,wt=27): 1468 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) != z | L(y,K(y,y \ 1),x) = z. [para(1446(a,1),431(a,1,2,2))]. given #1827 (H,wt=27): 1527 T(x,x \ 1) * y != x * (K(x,x \ 1) * z) | L(z,K(x,x \ 1),x) = y. [para(1522(a,1),422(a,1,1))]. given #1828 (H,wt=27): 1528 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(1522(a,1),466(a,1,1,1))]. given #1829 (H,wt=27): 1532 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(1524(a,1),1405(a,1,2,1))]. given #1830 (H,wt=23): 2013 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(1524(a,1),1532(a,2,1))]. given #1831 (H,wt=23): 2014 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(87,a,2013,a)]. given #1832 (H,wt=26): 2015 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) != z | K(x,x \ 1) * y = z. [para(2014(a,1),220(a,1,2)),flip(b)]. given #1833 (H,wt=27): 1563 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(31(a,2),1557(a,2,2,1,2,2))]. given #1834 (H,wt=23): 2016 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(31(a,2),1563(a,1,2,1)),flip(a)]. given #1835 (H,wt=25): 2017 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1200(a,1),2016(a,1,2))]. given #1836 (H,wt=25): 2018 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(87,a,2017,a)]. given #1837 (H,wt=27): 1565 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(20(a,1),1559(a,1,1,2))]. given #1838 (H,wt=27): 1573 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(18(a,1),1556(a,1,2,1)),flip(a)]. given #1839 (H,wt=27): 1584 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [para(20(a,1),1582(a,1,1,2))]. given #1840 (H,wt=27): 1586 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(994(a,1),1582(a,2,1,2))]. given #1841 (H,wt=19): 2020 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(19(a,1),1586(a,2,1))]. given #1842 (H,wt=27): 1642 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(1550(a,1),973(a,1,1))]. given #1843 (H,wt=25): 2021 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1535(a,1),1642(a,1,2))]. given #1844 (H,wt=23): 2022 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1535(a,1),2021(a,2,1,2))]. given #1845 (H,wt=21): 2023 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1483(a,1),2022(a,2,1))]. given #1846 (H,wt=24): 2024 T(1 / (1 / x),y) != z * K(x \ 1,x) | x * (T(x,y) / x) = z. [para(2023(a,1),25(a,1))]. given #1847 (H,wt=27): 1714 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1701(a,1),1688(a,2,2,1))]. given #1848 (H,wt=23): 2025 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(586(a,1),1714(a,2,2))]. given #1849 (H,wt=19): 2026 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(586(a,1),2025(a,1,1,2))]. given #1850 (H,wt=18): 2027 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(163(a,1),2026(a,1,1,2))]. given #1851 (H,wt=17): 2028 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(163(a,1),2027(a,2,2))]. given #1852 (H,wt=11): 2029 T(x,x * (y / (x * y))) = x. [hyper(40,a,2028,a)]. given #1853 (H,wt=11): 2031 T(x,x * ((x \ y) / y)) = x. [para(19(a,1),2029(a,1,2,2,2))]. given #1854 (H,wt=15): 2032 T(x / y,(x / y) * (y / x)) = x / y. [para(21(a,1),2029(a,1,2,2,2))]. given #1855 (H,wt=17): 2035 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(2032(a,1),185(a,1,1)),flip(a)]. given #1856 (H,wt=15): 2036 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(255,a,129,a(flip),b,2035,a)]. given #1857 (H,wt=19): 2033 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(2031(a,1),276(a,1,1)),flip(a)]. given #1858 (H,wt=19): 2034 T(x / (y * x),(x / (y * x)) * y) = x / (y * x). [para(20(a,1),2032(a,1,2,2))]. given #1859 (H,wt=21): 2039 T((x / (y * x)) * y,x / (y * x)) = (x / (y * x)) * y. [hyper(40,a,2034,a)]. given #1860 (H,wt=22): 2030 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(255,a,1896,a,b,2028,a(flip)),flip(a)]. given #1861 (H,wt=27): 1744 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(831(a,1),1663(a,1,1)),flip(a)]. given #1862 (H,wt=27): 1749 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(19(a,1),1669(a,1,2,2,1,2,2))]. given #1863 (H,wt=27): 1753 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(848(a,1),1719(a,1,1)),flip(a)]. given #1864 (H,wt=25): 2040 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(127(a,1),1753(a,1,2)),flip(a)]. given #1865 (H,wt=25): 2042 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(1683,a,2040,a)]. given #1866 (H,wt=17): 2043 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(75(a,1),2042(a,1,1))]. given #1867 (H,wt=17): 2044 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(18(a,1),2043(a,2,2,1,2)),flip(a)]. given #1868 (H,wt=17): 2045 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(18(a,1),2044(a,1,2,1)),flip(a)]. given #1869 (H,wt=19): 2049 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(2045(a,1),127(a,1,2)),flip(a)]. given #1870 (H,wt=18): 2050 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(255,a,190,a(flip),b,2049,a)]. given #1871 (H,wt=20): 2048 T((x \ 1) * (x * y),x) != (x \ 1) * z | y * x = z. [para(2045(a,2),24(a,1))]. given #1872 (H,wt=23): 2046 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(105(a,1),2044(a,1,2,1)),flip(a)]. given #1873 (H,wt=24): 2047 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(2044(a,1),409(a,1,2))]. given #1874 (H,wt=27): 1770 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(806(a,1),418(a,1,2)),flip(a)]. given #1875 (H,wt=23): 2053 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(1909(a,2),1770(a,1,2))]. given #1876 (H,wt=21): 2054 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(17(a,1),2053(a,2,2,1,2,2))]. given #1877 (H,wt=25): 2052 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(17(a,1),1770(a,2,2,1,2,2))]. given #1878 (H,wt=25): 2055 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(37(a,2),2054(a,1,2,2,1,2)),flip(a)]. given #1879 (H,wt=21): 2057 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(172,a,1903,a(flip),b,2055,a(flip))]. given #1880 (H,wt=17): 2059 K(x,(x / T(x,y)) / x) = T(x * (1 / x),y). [para(19(a,1),2057(a,1,1,2,1)),flip(a)]. given #1881 (H,wt=19): 2061 K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). [para(1912(a,1),2057(a,1,1)),flip(a)]. given #1882 (H,wt=21): 2060 T(x \ T(x,x / (x * y)),z) = K(x,(x / T(y,z)) / x). [para(1379(a,2),2057(a,1,1))]. given #1883 (H,wt=21): 2062 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [hyper(255,a,1909,a(flip),b,2059,a(flip)),flip(a)]. given #1884 (H,wt=19): 2064 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(1083(a,1),2062(a,1,2,1))]. given #1885 (H,wt=19): 2066 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1448(a,2),2064(a,2,1))]. given #1886 (H,wt=17): 2067 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(2066(a,1),2001(a,1,2))]. given #1887 (H,wt=20): 2068 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(2067(a,1),24(a,1))]. given #1888 (H,wt=21): 2063 T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). [para(1387(a,1),2061(a,1,2,1,2)),flip(a)]. given #1889 (H,wt=17): 2069 T(K(x,y / x),K(y / x,z)) = K(x,y / x). [para(70(a,1),2063(a,2,2,1))]. given #1890 (H,wt=19): 2070 T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). [para(20(a,1),2069(a,1,1,2))]. given #1891 (H,wt=15): 2071 T(K(x,y),K(y,z)) = K(x,(y * x) / x). [para(20(a,1),2070(a,1,2,1))]. given #1892 (H,wt=11): 2072 T(K(x,y),K(y,z)) = K(x,y). [para(20(a,1),2071(a,2,2))]. given #1893 (H,wt=9): 2073 K(K(x,y),K(y,z)) = 1. [hyper(41,a,2072,a)]. given #1894 (H,wt=11): 2074 T(K(x,y),K(z,x)) = K(x,y). [hyper(40,a,2072,a)]. given #1895 (H,wt=15): 2075 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(2072(a,1),127(a,1,2))]. given #1896 (H,wt=18): 2076 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2072(a,1),225(a,1,2))]. given #1897 (H,wt=18): 2080 K(x,y) * K(y,z) != u * K(x,y) | K(y,z) = u. [para(2074(a,1),174(a,1,2)),flip(b)]. given #1898 (H,wt=18): 2081 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2074(a,1),225(a,1,2))]. given #1899 (H,wt=18): 2084 K(x,y) * K(y,z) != K(y,z) * u | K(x,y) = u. [para(2075(a,1),24(a,1))]. given #1900 (H,wt=18): 2085 K(x,y) * K(z,x) != K(z,x) * u | K(x,y) = u. [para(2075(a,2),24(a,1))]. given #1901 (H,wt=21): 2077 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2072(a,1),183(a,1,2,1)),flip(a)]. given #1902 (H,wt=21): 2078 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2072(a,1),184(a,1,2,1)),flip(a)]. given #1903 (H,wt=21): 2082 R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). [para(2074(a,1),184(a,1,2,1)),flip(a)]. given #1904 (H,wt=22): 2065 T(x * (1 / x),y) != T(x,y) * z | (T(x,y) \ x) / x = z. [para(2064(a,1),24(a,1))]. given #1905 (H,wt=24): 2079 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2072(a,1),362(a,1,2,1))]. given #1906 (H,wt=24): 2083 K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5. [para(2074(a,1),363(a,1,2,1))]. given #1907 (H,wt=25): 2056 (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [hyper(87,a,2052,a),flip(a)]. given #1908 (H,wt=25): 2058 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(255,a,1909,a(flip),b,2057,a),flip(a)]. given #1909 (H,wt=25): 2088 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = T(x,y) * (1 / T(x,y)). [para(19(a,1),2058(a,1,2,1)),flip(a)]. given #1910 (H,wt=25): 2090 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = K(T(x,y),T(x,y) \ 1). [hyper(255,a,1448,a,b,2088,a)]. given #1911 (H,wt=19): 2091 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [para(1913(a,1),2090(a,1,1)),flip(a)]. given #1912 (H,wt=27): 1813 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(255,a,1639,a(flip),b,1004,a(flip))]. given #1913 (H,wt=25): 2092 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1639(a,1),1813(a,1,2)),flip(a)]. given #1914 (H,wt=27): 1815 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [hyper(255,a,1643,a(flip),b,1007,a(flip))]. given #1915 (H,wt=25): 2094 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1643(a,1),1815(a,1,2)),flip(a)]. given #1916 (H,wt=27): 1825 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1451(a,1),1820(a,1,2,1))]. given #1917 (H,wt=23): 2096 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1451(a,1),1825(a,2,1))]. given #1918 (H,wt=23): 2097 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(87,a,2096,a)]. given #1919 (H,wt=26): 2098 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(255,a,1488,a,b,2097,a(flip)),flip(a)]. given #1920 (H,wt=27): 1826 (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. [para(1529(a,1),1820(a,1,2,1))]. given #1921 (H,wt=27): 1854 T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). [para(1083(a,1),1853(a,1,2,1,2))]. given #1922 (H,wt=19): 2100 R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). [para(19(a,1),1854(a,1,2,1)),flip(a)]. given #1923 (H,wt=27): 1915 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1357(a,1),1909(a,1,2)),flip(a)]. given #1924 (H,wt=25): 2101 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1111(a,1),1915(a,1,2,1))]. given #1925 (H,wt=27): 1917 ((x * y) / x) * ((y * (((x * y) / x) \ 1)) / y) = K(y,1 / ((x * y) / x)). [para(1630(a,1),1909(a,1,2)),flip(a)]. given #1926 (H,wt=25): 2102 ((x * y) / x) * ((((x * y) / x) \ y) / y) = K(y,1 / ((x * y) / x)). [para(1146(a,1),1917(a,1,2,1))]. given #1927 (H,wt=27): 1919 K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). [para(1083(a,1),1911(a,2,2,1))]. given #1928 (H,wt=27): 1935 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(255,a,824,a(flip),b,1900,a(flip))]. given #1929 (H,wt=25): 2103 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(824(a,1),1935(a,1,1))]. given #1930 (H,wt=24): 2105 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(339(a,1),2103(a,1,1,2,2)),flip(a)]. given #1931 (H,wt=19): 2106 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(339(a,1),2105(a,1,2,2)),flip(a)]. given #1932 (H,wt=19): 2107 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1448(a,2),2106(a,1,1,2))]. given #1933 (H,wt=19): 2108 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1448(a,2),2107(a,2,2))]. given #1934 (H,wt=19): 2109 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(87,a,2108,a)]. given #1935 (H,wt=19): 2110 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(81,a,98,a(flip),b,2108,a)]. given #1936 (H,wt=20): 2111 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(2109(a,1),1061(a,1,1)),flip(a)]. given #1937 (H,wt=21): 2112 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(2110(a,1),129(a,1,1))]. given #1938 (H,wt=25): 2104 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(81,a,98,a(flip),b,2103,a)]. given #1939 (H,wt=27): 1946 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(172,a,1902,a(flip),b,1325,a),flip(a)]. given #1940 (H,wt=25): 2113 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(37(a,2),1946(a,1,1))]. given #1941 (H,wt=23): 2114 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(37(a,2),2113(a,1,2,1,1))]. given #1942 (H,wt=27): 2019 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1725(a,1),1565(a,2,2,2))]. given #1943 (H,wt=21): 2116 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(255,a,231,a(flip),b,2019,a)]. given #1944 (H,wt=19): 2118 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(2116(a,1),1143(a,1,1)),flip(a)]. given #1945 (H,wt=17): 2119 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(255,a,1777,a(flip),b,2118,a(flip)),flip(a)]. given #1946 (H,wt=18): 2120 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(374,a,2119,a)]. given #1947 (H,wt=21): 2121 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(18(a,1),2119(a,1,1,2))]. given #1948 (H,wt=17): 2124 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(18(a,1),2121(a,2,2))]. given #1949 (H,wt=14): 2125 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(374,a,2124,a)]. given #1950 (H,wt=17): 2126 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(2124(a,1),19(a,1,2))]. given #1951 (H,wt=17): 2127 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(2124(a,1),70(a,1,2))]. given #1952 (H,wt=18): 2129 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(162(a,2),2126(a,1,1,1)),flip(a)]. given #1953 (H,wt=19): 2128 L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). [para(2125(a,1),346(a,1,1)),flip(a)]. given #1954 (H,wt=19): 2131 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(540,a,2129,a)]. given #1955 (H,wt=22): 2122 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(18(a,1),2120(a,1,3))]. given #1956 (H,wt=17): 2132 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(255,a,162,a(flip),b,2122,a(flip)),flip(a)]. given #1957 (H,wt=24): 2123 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(2120(a,1),1905(a,1,2)),flip(a)]. given #1958 (H,wt=24): 2133 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(255,a,1448,a,b,2123,a)]. given #1959 (H,wt=24): 2134 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(2133(a,1),19(a,1,2)),flip(a)]. given #1960 (H,wt=27): 2037 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(2036(a,1),1584(a,2,1,2))]. given #1961 (H,wt=23): 2135 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(19(a,1),2037(a,2,1))]. given #1962 (H,wt=21): 2136 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(255,a,67,a(flip),b,2135,a)]. given #1963 (H,wt=27): 2041 (x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)). [para(1219(a,2),1753(a,1,2)),flip(a)]. given #1964 (H,wt=25): 2138 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * 1,y)) * z. [para(67(a,1),2041(a,1,1,2,1,2)),flip(a)]. given #1965 (H,wt=23): 2139 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(17(a,1),2138(a,2,1,2,1))]. given #1966 (H,wt=21): 2141 (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1. [hyper(22,a,234,a(flip),b,2139,a)]. given #1967 (H,wt=27): 2051 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(87,a,1770,a)]. given #1968 (H,wt=27): 2142 (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). [para(19(a,1),2051(a,1,2,2,1,2,2)),flip(a)]. given #1969 (H,wt=28): 786 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(33(a,2),586(a,1,1,2,1))]. given #1970 (H,wt=25): 2143 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(428(a,1),786(a,1,1)),flip(a)]. given #1971 (H,wt=28): 900 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(347(a,1),894(a,1,1)),flip(a)]. given #1972 (H,wt=25): 2144 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(255,a,427,a(flip),b,900,a)]. given #1973 (H,wt=28): 948 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(940(a,1),618(a,1,2))]. given #1974 (H,wt=22): 2148 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(255,a,1241,a(flip),b,948,a(flip)),flip(a)]. given #1975 (H,wt=24): 2150 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(2148(a,1),627(a,1,1))]. given #1976 (H,wt=22): 2151 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(255,a,186,a(flip),b,2150,a(flip))]. given #1977 (H,wt=20): 2152 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(2151(a,1),1913(a,1,2))]. given #1978 (H,wt=28): 1046 (x * y) * R((x * y) \ z,u,w) != v5 | x * (y * R(y \ (x \ z),u,w)) = v5. [para(506(a,1),224(a,1,2))]. given #1979 (H,wt=28): 1048 (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. [para(507(a,1),224(a,1,2))]. given #1980 (H,wt=28): 1054 (x * y) * ((z * ((x * y) \ x)) / z) != u | x * (y * ((z * (y \ 1)) / z)) = u. [para(768(a,1),224(a,1,2))]. given #1981 (H,wt=28): 1065 (x * y) * T((x * y) \ x,z) != u * w | (x * (y * T(y \ 1,z))) / w = u. [para(344(a,2),513(a,1,2))]. given #1982 (H,wt=28): 1157 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(342(a,1),1154(a,1,1))]. given #1983 (H,wt=21): 2153 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(342(a,1),1157(a,1,2,2))]. given #1984 (H,wt=21): 2154 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [para(2153(a,1),19(a,1,2))]. given #1985 (H,wt=28): 1187 ((x / (y * x)) * y) * z != x / (y * x) | T(1 / y,(x / (y * x)) * y) = z. [para(1185(a,1),173(a,2))]. given #1986 (H,wt=28): 1199 ((x \ R(1 / y,y,x)) * x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(163(a,2),1197(a,1,1,1,2))]. given #1987 (H,wt=28): 1391 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(114(a,1),739(a,1,2,1))]. given #1988 (H,wt=28): 1410 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1406(a,1),179(a,1,2))]. given #1989 (H,wt=23): 2157 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1410(a,1),223(a,1))]. given #1990 (H,wt=28): 1469 x * L(y,K(x,x \ 1),1 / (1 / x)) = (1 / (1 / x)) * (K(x,x \ 1) * y). [para(1454(a,1),112(a,1,1))]. given #1991 (H,wt=28): 1470 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(1454(a,1),122(a,1,2))]. given #1992 (H,wt=28): 1471 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1454(a,1),123(a,2,2))]. given #1993 (H,wt=28): 1472 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1455(a,1),483(a,1,1))]. given #1994 (H,wt=28): 1500 K(x \ 1,x) * L(1 / x,y,z) != u | L(1 / x,y,z) * K(x \ 1,x) = u. [para(1486(a,1),362(a,1,2,1))]. given #1995 (H,wt=28): 1507 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1504(a,1),112(a,1,1))]. given #1996 (H,wt=28): 1672 (x * y) * T((x * y) \ (z * y),u) != y * w | T(x * T(x \ z,u),y) = w. [para(1638(a,2),173(a,2)),flip(a)]. given #1997 (H,wt=28): 1702 (x * y) * R((x * y) \ y,z,u) != y * w | T(x * R(x \ 1,z,u),y) = w. [para(1639(a,2),173(a,2)),flip(a)]. given #1998 (H,wt=28): 1718 R(x \ 1,x,y) \ T((y / (x * y)) * x,y / (x * y)) = T(x,y / (x * y)). [para(1717(a,1),1319(a,1,1))]. given #1999 (H,wt=22): 2158 R(x \ 1,x,y) \ ((y / (x * y)) * x) = T(x,y / (x * y)). [para(2039(a,1),1718(a,1,2))]. given #2000 (H,wt=16): 2159 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [hyper(709,a,2158,a)]. given #2001 (H,wt=28): 1722 (x * y) * L((x * y) \ y,z,u) != y * w | T(x * L(x \ 1,z,u),y) = w. [para(1643(a,2),173(a,2)),flip(a)]. given #2002 (H,wt=28): 1752 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1719(a,1),223(a,1,2))]. given #2003 (H,wt=28): 1761 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(763(a,1),1758(a,1,1,1))]. given #2004 (H,wt=28): 1778 ((x \ y) * (y \ x)) * z != x \ y | T(1 / (y \ x),(x \ y) * (y \ x)) = z. [para(1776(a,1),173(a,2))]. given #2005 (H,wt=28): 1787 (x * ((x \ y) / y)) * z != x | T(1 / ((x \ y) / y),x * ((x \ y) / y)) = z. [para(1785(a,1),173(a,2))]. given #2006 (H,wt=28): 1865 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1861(a,1),1587(a,1,1,2,1))]. given #2007 (H,wt=23): 2162 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(255,a,1861,a(flip),b,1865,a)]. given #2008 (H,wt=28): 1941 x * L(x \ T(y,x),z,u) != w * v5 | w \ T(x * L(x \ y,z,u),x) = v5. [para(1939(a,1),368(a,1,2))]. given #2009 (H,wt=28): 1960 (x * R(y,z,u)) * T(y,x) != w * (x * R(y,z,u)) | R(y,x,R(y,z,u)) = w. [para(1958(a,2),454(a,1))]. given #2010 (H,wt=28): 1967 x * R(x \ T(y,x),z,u) != w * v5 | T(x * R(x \ y,z,u),x) / v5 = w. [para(1965(a,1),297(a,1,2))]. given #2011 (H,wt=28): 1968 x * R(x \ T(y,x),z,u) != w * v5 | w \ T(x * R(x \ y,z,u),x) = v5. [para(1965(a,1),368(a,1,2))]. given #2012 (H,wt=28): 2161 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(1884(a,1),1761(a,1,1))]. given #2013 (H,wt=28): 2163 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(255,a,2103,a(flip),b,2161,a(flip)),flip(a)]. given #2014 (H,wt=28): 2165 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(189(a,2),2163(a,1,1))]. given #2015 (H,wt=29): 568 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(183(a,1),29(a,2,1,2)),flip(a)]. given #2016 (H,wt=29): 753 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) != w | L(u,z,T(x,x \ y)) = w. [para(273(a,1),431(a,1,2))]. given #2017 (H,wt=29): 758 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(691(a,1),454(a,2,2))]. given #2018 (H,wt=29): 836 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(345(a,2),430(a,1,2))]. given #2019 (H,wt=27): 2167 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(127(a,1),836(a,1,2,1,1)),flip(a)]. given #2020 (H,wt=23): 2168 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(172,a,1639,a(flip),b,2167,a),flip(a)]. given #2021 (H,wt=24): 2169 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(594,a,2168,a),flip(a)]. given #2022 (H,wt=28): 2171 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(927(a,1),2169(a,2,1,2))]. given #2023 (H,wt=25): 2172 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1253(a,1),2171(a,1,1,2)),flip(a)]. given #2024 (H,wt=15): 2173 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(23,a,1658,a(flip),b,2172,a)]. given #2025 (H,wt=21): 2174 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(2173(a,1),129(a,1,1))]. given #2026 (H,wt=15): 2175 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(255,a,1741,a(flip),b,2174,a(flip))]. given #2027 (H,wt=17): 2178 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(2175(a,1),2141(a,1,2,2))]. given #2028 (H,wt=17): 2179 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(87,a,2178,a),flip(a)]. given #2029 (H,wt=20): 2180 (x \ T(x,y)) \ 1 != z | (x \ 1) \ (T(x,y) \ 1) = z. [para(2178(a,1),222(a,1,2)),flip(b)]. given #2030 (H,wt=21): 2177 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(663(a,1),2175(a,1,1))]. given #2031 (H,wt=17): 2181 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(73(a,1),2177(a,1,2))]. given #2032 (H,wt=17): 2182 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [para(2181(a,1),70(a,1,2))]. given #2033 (H,wt=17): 2183 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(1200(a,2),2181(a,1,1))]. given #2034 (H,wt=29): 837 (x * y) * L((y * T(x,y)) \ y,z,u) = y * (T(x,y) * L(T(x,y) \ 1,z,u)). [para(346(a,1),430(a,1,2))]. given #2035 (H,wt=27): 2184 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(127(a,1),837(a,1,2,1,1)),flip(a)]. given #2036 (H,wt=23): 2185 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(172,a,1643,a(flip),b,2184,a),flip(a)]. given #2037 (H,wt=23): 2186 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(87,a,2185,a)]. given #2038 (H,wt=24): 2187 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [hyper(255,a,340,a(flip),b,2185,a(flip))]. given #2039 (H,wt=24): 2188 T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). [para(675(a,1),2185(a,2,1,2))]. given #2040 (H,wt=23): 2191 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). [para(1095(a,1),2188(a,1,2))]. given #2041 (H,wt=21): 2192 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(153(a,1),2191(a,2,1,2))]. given #2042 (H,wt=17): 2193 (1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(22,a,2064,a,b,2192,a)]. given #2043 (H,wt=21): 2196 T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x). [para(2193(a,1),1096(a,1,1))]. given #2044 (H,wt=19): 2197 (1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x). [hyper(255,a,129,a(flip),b,2196,a(flip))]. given #2045 (H,wt=17): 2198 (1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1. [hyper(255,a,1091,a(flip),b,2197,a)]. given #2046 (H,wt=20): 2199 (1 / x) * ((T(x,y) \ 1) * x) != z | T(x,y) \ 1 = z. [para(2197(a,2),1093(a,1))]. given #2047 (H,wt=23): 2194 (T(x,y) \ x) \ ((T(x,y) \ x) / x) = T(1 / x,T(x,y) \ x). [hyper(172,a,2193,a,b,19,a),flip(a)]. given #2048 (H,wt=26): 2195 (T(x,y) \ x) / x != (T(x,y) \ x) * z | T(1 / x,T(x,y) \ x) = z. [para(2193(a,1),173(a,2)),flip(a)]. given #2049 (H,wt=28): 2189 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(342(a,1),2186(a,1,2,1,2))]. given #2050 (H,wt=28): 2190 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(940(a,1),2187(a,2,2,1))]. given #2051 (H,wt=23): 2201 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(2152(a,1),2190(a,1,1)),flip(a)]. given #2052 (H,wt=23): 2202 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(255,a,2091,a,b,2201,a)]. given #2053 (H,wt=15): 2203 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(22,a,1448,a(flip),b,2202,a)]. given #2054 (H,wt=15): 2204 (T(x,y) / x) * (1 / T(x,y)) = 1 / x. [para(2203(a,1),19(a,1,2))]. given #2055 (H,wt=26): 2206 T(x,y) * ((T(x,y) / x) \ (1 / x)) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2203(a,2),1464(a,1,2))]. given #2056 (H,wt=22): 2207 T(K(T(x,y),1 / x),y) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2201(a,1),2206(a,1))]. given #2057 (H,wt=27): 2205 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(199(a,1),2203(a,1,2))]. given #2058 (H,wt=29): 1030 ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). [para(1029(a,1),104(a,1,1))]. given #2059 (H,wt=29): 1036 L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). [para(352(a,2),502(a,1,1,1))]. given #2060 (H,wt=23): 2208 L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x. [para(136(a,1),1036(a,1,1,1,1)),flip(a)]. given #2061 (H,wt=23): 2209 (1 / x) * L(T((1 / x) \ 1,y),z,u) = L(T(x,y),z,u) / x. [hyper(1057,a,2208,a)]. given #2062 (H,wt=19): 2210 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(73(a,1),2209(a,1,2,1,1))]. given #2063 (H,wt=29): 1070 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(80,a,1069,a(flip),b,312,a),flip(a)]. given #2064 (H,wt=29): 1148 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(407(a,1),1146(a,1,2,1)),flip(a)]. given #2065 (H,wt=25): 2211 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(407(a,1),1148(a,1,1)),flip(a)]. given #2066 (H,wt=29): 1289 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. [para(1214(a,2),128(a,1,2))]. given #2067 (H,wt=29): 1314 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1308(a,1),922(a,1,2,1,2))]. given #2068 (H,wt=19): 2212 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(19(a,1),1314(a,1,2,1)),flip(a)]. given #2069 (H,wt=25): 2213 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(129(a,1),2212(a,1,1)),flip(a)]. given #2070 (H,wt=23): 2214 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(129(a,1),2213(a,1,2)),flip(a)]. given #2071 (H,wt=27): 2215 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(18(a,1),2214(a,1,1)),flip(a)]. given #2072 (H,wt=23): 2216 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(18(a,1),2215(a,1,2)),flip(a)]. given #2073 (H,wt=29): 1358 T((T(x,y) / T(x,z)) * T(x,z),u) / T(x,z) = (1 / T(x,z)) * T(T(x,y),u). [para(1351(a,1),935(a,1,2,1)),flip(a)]. given #2074 (H,wt=21): 2217 (1 / T(x,y)) * T(T(x,z),u) = T(T(x,z),u) / T(x,y). [para(21(a,1),1358(a,1,1,1)),flip(a)]. given #2075 (H,wt=21): 2219 T(T(x,y),z) / T(x,x \ 1) = (x \ 1) * T(T(x,y),z). [para(199(a,1),2217(a,1,1)),flip(a)]. given #2076 (H,wt=21): 2220 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(255,a,182,a(flip),b,2219,a)]. given #2077 (H,wt=19): 2221 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(255,a,927,a(flip),b,2220,a)]. given #2078 (H,wt=19): 2222 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(2221(a,1),2205(a,1,1))]. given #2079 (H,wt=15): 2223 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(255,a,2175,a(flip),b,2222,a(flip))]. given #2080 (H,wt=15): 2224 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [para(2223(a,1),73(a,1,1)),flip(a)]. given #2081 (H,wt=15): 2225 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(128(a,1),2223(a,1,2,1))]. given #2082 (H,wt=15): 2226 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(564(a,1),2223(a,1,2,1))]. given #2083 (H,wt=15): 2227 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(288(a,1),2223(a,1,2,1)),flip(a)]. given #2084 (H,wt=15): 2228 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [para(128(a,1),2224(a,1,1)),flip(a)]. given #2085 (H,wt=15): 2229 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(564(a,1),2224(a,1,1)),flip(a)]. given #2086 (H,wt=15): 2230 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2227(a,1),70(a,1,2))]. given #2087 (H,wt=17): 2231 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2228(a,2),127(a,1,2))]. given #2088 (H,wt=13): 2237 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(660,a,2231,a)]. given #2089 (H,wt=13): 2241 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(255,a,128,a,b,2237,a)]. given #2090 (H,wt=15): 2240 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(255,a,1523,a,b,2237,a)]. given #2091 (H,wt=13): 2243 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(2068,a,2240,a)]. given #2092 (H,wt=9): 2244 K(K(x,x \ 1),y) = 1. [hyper(41,a,2243,a)]. given #2093 (H,wt=9): 2245 T(x,K(y,y \ 1)) = x. [hyper(40,a,2243,a)]. given #2094 (H,wt=9): 2251 K(K(x \ 1,x),y) = 1. [para(1451(a,1),2244(a,1,1))]. given #2095 (H,wt=9): 2255 T(x,K(y,1 / y)) = x. [para(1445(a,2),2245(a,1,2))]. given #2096 (H,wt=9): 2256 T(x,K(y \ 1,y)) = x. [para(1451(a,1),2245(a,1,2))]. given #2097 (H,wt=13): 2258 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(42,a,2251,a)]. given #2098 (H,wt=13): 2270 T((x \ 1) * x,y) = K(x \ 1,x). [para(189(a,1),2258(a,1,1))]. given #2099 (H,wt=15): 2247 K(x,x \ 1) * y = y * K(x,x \ 1). [para(2243(a,1),127(a,1,2)),flip(a)]. given #2100 (H,wt=15): 2259 K(x,1 / x) * y = y * K(x,1 / x). [hyper(2048,a,2255,a),flip(a)]. given #2101 (H,wt=15): 2263 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2048,a,2256,a),flip(a)]. given #2102 (H,wt=15): 2264 (x * K(y \ 1,y)) / x = K(y \ 1,y). [para(2256(a,1),144(a,1,2))]. given #2103 (H,wt=15): 2269 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(255,a,1651,a,b,2258,a(flip)),flip(a)]. given #2104 (H,wt=17): 2232 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(129(a,1),2228(a,1,1,1)),flip(a)]. given #2105 (H,wt=17): 2235 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(129(a,1),2230(a,1,2,2)),flip(a)]. given #2106 (H,wt=17): 2242 (T(x,y) \ 1) \ (T(x,y) \ x) = (x \ 1) \ 1. [hyper(255,a,1089,a,b,2237,a(flip)),flip(a)]. given #2107 (H,wt=17): 2246 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(80,a,2243,a(flip),b,2066,a)]. given #2108 (H,wt=17): 2291 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2269(a,1),1205(a,1,1))]. given #2109 (H,wt=17): 2292 x * K(x \ (x / T(x,y)),x) = 1 / (1 / x). [para(2269(a,2),1483(a,1,2))]. given #2110 (H,wt=16): 2299 L(x,T(x,y) \ 1,T(x,y)) = 1 / (1 / x). [hyper(1614,a,2292,a)]. given #2111 (H,wt=17): 2297 (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. [para(2242(a,1),19(a,1,2))]. given #2112 (H,wt=17): 2300 T(x,y) \ (1 / (1 / x)) = (T(x,y) \ 1) * x. [hyper(80,a,2292,a(flip),b,1207,a)]. given #2113 (H,wt=18): 2248 x * K(y,y \ 1) != z * x | K(y,y \ 1) = z. [para(2243(a,1),174(a,1,2)),flip(b)]. given #2114 (H,wt=18): 2249 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2243(a,1),225(a,1,2))]. given #2115 (H,wt=18): 2252 K(x,x \ 1) * y != z * K(x,x \ 1) | z = y. [para(2245(a,1),174(a,1,2))]. given #2116 (H,wt=18): 2253 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2245(a,1),225(a,1,2))]. given #2117 (H,wt=16): 2303 (x \ 1) \ 1 != y | x * K(x,x \ 1) = y. [para(1456(a,1),2253(a,1))]. given #2118 (H,wt=18): 2262 K(x,1 / x) * y != z | y * K(x,1 / x) = z. [para(2255(a,1),225(a,1,2))]. given #2119 (H,wt=18): 2266 K(x \ 1,x) * y != z * K(x \ 1,x) | z = y. [para(2256(a,1),174(a,1,2))]. given #2120 (H,wt=18): 2267 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2256(a,1),225(a,1,2))]. given #2121 (H,wt=18): 2271 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2258(a,1),225(a,1,2))]. given #2122 (H,wt=19): 2238 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(129(a,1),2231(a,1,2,1,1)),flip(a)]. given #2123 (H,wt=19): 2279 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(255,a,974,a(flip),b,2263,a)]. given #2124 (H,wt=19): 2281 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(26,a,2263,a)]. given #2125 (H,wt=19): 2293 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(255,a,405,a(flip),b,2232,a(flip)),flip(a)]. given #2126 (H,wt=15): 2308 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(18(a,1),2293(a,2,1,1))]. given #2127 (H,wt=18): 2309 T(x,((y * x) / y) \ 1) != z | T(x,x \ 1) = z. [para(2308(a,2),287(a,1))]. given #2128 (H,wt=19): 2294 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2232(a,1),167(a,1,1,2))]. given #2129 (H,wt=19): 2295 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [para(2235(a,1),167(a,1,1,2))]. given #2130 (H,wt=19): 2302 ((x \ 1) \ 1) * T(T(x,y) \ 1,x) = T(x,y) \ x. [hyper(255,a,1894,a,b,2297,a(flip)),flip(a)]. given #2131 (H,wt=19): 2310 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(18(a,1),2294(a,1,1,2,1,1))]. given #2132 (H,wt=19): 2312 (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). [para(18(a,1),2295(a,1,1,2,2,2))]. given #2133 (H,wt=20): 2233 x * ((T(y,x) \ 1) \ 1) != z | ((y \ 1) \ 1) * x = z. [para(2228(a,2),225(a,1,2))]. given #2134 (H,wt=20): 2278 L(x,y,y \ 1) * K(y \ 1,y) = (y \ 1) * (y * x). [hyper(741,a,2263,a),flip(a)]. given #2135 (H,wt=20): 2280 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [hyper(80,a,465,a(flip),b,2263,a)]. given #2136 (H,wt=21): 2234 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(255,a,1483,a,b,2230,a(flip)),flip(a)]. given #2137 (H,wt=21): 2272 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [hyper(255,a,1822,a(flip),b,2247,a(flip))]. given #2138 (H,wt=21): 2289 ((x * y) / x) \ K(y \ 1,y) = T(((x * y) / x) \ 1,y). [para(2264(a,1),1665(a,1,2))]. given #2139 (H,wt=22): 2288 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2263(a,2),292(a,1,1))]. given #2140 (H,wt=22): 2301 L(L(x,y,z),T(x,u) \ 1,T(x,u)) = L(1 / (1 / x),y,z). [para(2299(a,1),50(a,1,1)),flip(a)]. given #2141 (H,wt=22): 2305 x * T(x \ (x / y),y) != z | K(y \ 1,y) * (x / y) = z. [para(974(a,1),2271(a,1))]. given #2142 (H,wt=22): 2307 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2279(a,1),2267(a,1))]. given #2143 (H,wt=22): 2311 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2294(a,1),226(a,1,1)),flip(b)]. given #2144 (H,wt=23): 2236 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2230(a,1),1890(a,1,1,1,2))]. given #2145 (H,wt=17): 2316 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(167(a,1),2236(a,1,1))]. given #2146 (H,wt=24): 2274 R(1 / x,x,K(y,y \ 1)) = K(y,y \ 1) / (K(y,y \ 1) * x). [para(2247(a,2),163(a,2,2))]. given #2147 (H,wt=24): 2282 L(x \ 1,x,K(y \ 1,y)) = (x * K(y \ 1,y)) \ K(y \ 1,y). [para(2263(a,1),162(a,2,1))]. given #2148 (H,wt=24): 2298 (T(x,y) \ 1) * ((x \ 1) \ 1) != z * u | (T(x,y) \ x) / u = z. [para(2242(a,1),297(a,1,2))]. given #2149 (H,wt=24): 2304 x * (L(x,y,z) * (1 / x)) != u | L(x,y,z) * K(x,x \ 1) = u. [para(1543(a,1),2253(a,1))]. given #2150 (H,wt=26): 2273 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2247(a,2),35(a,2,2)),flip(a)]. given #2151 (H,wt=26): 2283 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2263(a,1),112(a,1,1))]. given #2152 (H,wt=26): 2318 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [para(2247(a,2),2273(a,1,1))]. given #2153 (H,wt=28): 2275 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2247(a,2),451(a,1,2))]. given #2154 (H,wt=28): 2284 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2263(a,2),451(a,1,2))]. given #2155 (H,wt=29): 1612 (x * K(y,x)) \ (y * x) != z | L(((x * y) \ x) \ 1,(x * y) \ x,y * x) = z. [para(1609(a,1),374(a,1,1))]. given #2156 (H,wt=29): 1736 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(37(a,2),1644(a,1,1))]. given #2157 (H,wt=27): 2319 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(37(a,2),1736(a,1,2,1,1)),flip(a)]. given #2158 (H,wt=27): 2320 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(832(a,1),2319(a,1,2))]. given #2159 (H,wt=25): 2321 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1752,a,2320,a),flip(a)]. given #2160 (H,wt=25): 2322 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(18(a,1),2321(a,1,2,1,2)),flip(a)]. given #2161 (H,wt=23): 2323 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(167(a,1),2322(a,1,1,2,1,2)),flip(a)]. given #2162 (H,wt=29): 1771 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(443(a,1),835(a,1,2,1))]. given #2163 (H,wt=23): 2325 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(172,a,1900,a(flip),b,1771,a(flip)),flip(a)]. given #2164 (H,wt=27): 2324 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(172,a,1901,a,b,1771,a(flip))]. given #2165 (H,wt=29): 1841 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1835(a,1),272(a,1,1))]. given #2166 (H,wt=29): 1948 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(80,a,1902,a(flip),b,1325,a),flip(a)]. given #2167 (H,wt=29): 1972 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1622(a,1),1969(a,1,1)),flip(a)]. given #2168 (H,wt=23): 2327 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1622(a,1),1972(a,1,2)),flip(a)]. given #2169 (H,wt=23): 2328 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(96,a,2327,a)]. given #2170 (H,wt=26): 2329 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2328(a,1),810(a,1,1))]. given #2171 (H,wt=23): 2330 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(255,a,253,a(flip),b,2329,a(flip))]. given #2172 (H,wt=27): 2331 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2330(a,1),627(a,1,1))]. given #2173 (H,wt=23): 2332 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(255,a,129,a(flip),b,2331,a(flip))]. given #2174 (H,wt=19): 2333 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(255,a,31,a,b,2332,a),flip(a)]. given #2175 (H,wt=15): 2334 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(31(a,2),2333(a,2,1,2)),flip(a)]. given #2176 (H,wt=11): 2336 T(K(x,y),1 / y) = K(x,y). [para(2334(a,1),166(a,1,1))]. given #2177 (H,wt=11): 2337 T(1 / x,K(y,x)) = 1 / x. [hyper(40,a,2336,a)]. given #2178 (H,wt=13): 2338 T(x \ 1,K(y,x)) = T(1 / x,x). [para(2337(a,1),185(a,1,1)),flip(a)]. given #2179 (H,wt=11): 2341 T(x \ 1,K(y,x)) = x \ 1. [hyper(255,a,129,a(flip),b,2338,a)]. given #2180 (H,wt=15): 2335 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(2334(a,1),21(a,1,1))]. given #2181 (H,wt=16): 2343 T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). [para(2341(a,1),344(a,2,1))]. given #2182 (H,wt=18): 2342 ((x \ 1) * K(y,x)) / (x \ 1) != z | K(y,x) = z. [para(2341(a,1),305(a,1,2)),flip(b)]. given #2183 (H,wt=20): 2344 T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). [para(19(a,1),2343(a,1,1,1))]. given #2184 (H,wt=13): 2345 T(x \ y,K(z,y \ x)) = x \ y. [hyper(255,a,342,a(flip),b,2344,a)]. given #2185 (H,wt=19): 2346 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(2345(a,1),127(a,1,2))]. given #2186 (H,wt=29): 1981 (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). [para(735(a,1),1980(a,1,1,1,2)),flip(a)]. given #2187 (H,wt=21): 2347 ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). [para(290(a,1),1981(a,1,2,1,2)),flip(a)]. given #2188 (H,wt=23): 2348 (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). [para(167(a,1),2347(a,1,1)),flip(a)]. given #2189 (H,wt=17): 2349 x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. [para(167(a,1),2348(a,1,2)),flip(a)]. given #2190 (H,wt=25): 2350 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). [para(2349(a,1),1919(a,1,2,1)),flip(a)]. given #2191 (H,wt=21): 2351 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). [para(20(a,1),2350(a,2,2))]. given #2192 (H,wt=21): 2352 (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. [para(2351(a,1),19(a,1,2))]. given #2193 (H,wt=24): 2354 (T(x,y) \ x) / x != (T(x,y) \ 1) * z | K(x,T(x,y) \ 1) = z. [para(2352(a,1),24(a,1))]. given #2194 (H,wt=29): 2009 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(255,a,1903,a(flip),b,1331,a(flip))]. given #2195 (H,wt=27): 2355 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1903(a,1),2009(a,1,2)),flip(a)]. given #2196 (H,wt=25): 2356 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1909(a,2),2355(a,1,1))]. given #2197 (H,wt=29): 2038 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(2033(a,1),1584(a,2,1,2))]. given #2198 (H,wt=21): 2357 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(169(a,1),2038(a,2,1))]. given #2199 (H,wt=19): 2358 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(255,a,67,a(flip),b,2357,a)]. given #2200 (H,wt=23): 2360 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(2358(a,1),1143(a,1,1)),flip(a)]. given #2201 (H,wt=17): 2361 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(255,a,1786,a(flip),b,2360,a(flip)),flip(a)]. given #2202 (H,wt=21): 2362 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(73(a,1),2361(a,1,1,2,1))]. given #2203 (H,wt=17): 2363 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(73(a,1),2362(a,2,2,1))]. given #2204 (H,wt=15): 2365 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(2363(a,1),2136(a,1,1))]. given #2205 (H,wt=17): 2364 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(2363(a,1),19(a,1,2))]. given #2206 (H,wt=17): 2366 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(20(a,1),2365(a,1,1,2))]. given #2207 (H,wt=13): 2368 K(1 / x,(y / (x * y)) * x) = 1. [para(20(a,1),2366(a,1,2,2))]. given #2208 (H,wt=15): 2369 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(42,a,2368,a)]. given #2209 (H,wt=14): 2370 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1866,a,2369,a)]. given #2210 (H,wt=14): 2371 L(x \ 1,x,(x \ y) / y) = 1 / x. [para(19(a,1),2370(a,1,3,2))]. given #2211 (H,wt=15): 2372 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(163(a,2),2370(a,1,3))]. given #2212 (H,wt=17): 2373 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(2370(a,1),341(a,1,2))]. given #2213 (H,wt=17): 2374 (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. [para(2371(a,1),341(a,1,2))]. given #2214 (H,wt=18): 2376 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(2373(a,1),1792(a,1,2))]. given #2215 (H,wt=18): 2377 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(2376(a,1),19(a,1,2)),flip(a)]. given #2216 (H,wt=19): 2375 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(2372(a,1),347(a,1,2))]. given #2217 (H,wt=14): 2379 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1176,a,2375,a)]. given #2218 (H,wt=13): 2380 T(1 / (1 / x),y / (x * y)) = x. [para(163(a,1),2379(a,1,2))]. given #2219 (H,wt=13): 2381 T(x,y / (x * y)) = T(x,x \ 1). [para(2380(a,1),1440(a,1,1)),flip(a)]. given #2220 (H,wt=13): 2382 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(255,a,128,a(flip),b,2381,a)]. given #2221 (H,wt=15): 2383 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(80,a,2381,a,b,1522,a)]. given #2222 (H,wt=15): 2385 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(21(a,1),2382(a,1,2,2))]. given #2223 (H,wt=21): 2367 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(81,a,20,a(flip),b,2364,a),flip(a)]. given #2224 (H,wt=17): 2387 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(20(a,1),2367(a,1,1)),flip(a)]. given #2225 (H,wt=21): 2378 x / (y * x) != z * K(y,y \ 1) | R(y \ 1,y,x) = z. [para(2376(a,1),94(a,1,2)),flip(a),flip(b)]. given #2226 (H,wt=21): 2386 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(2385(a,1),397(a,1,1))]. given #2227 (H,wt=17): 2389 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(1390,a,2386,a)]. given #2228 (H,wt=13): 2390 T(x,y / (y * x)) = T(x,x \ 1). [hyper(2309,a,2389,a),flip(a)]. given #2229 (H,wt=13): 2391 T(x,y / (y * x)) = (x \ 1) \ 1. [hyper(255,a,2308,a(flip),b,2389,a(flip))]. given #2230 (H,wt=15): 2394 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(19(a,1),2391(a,1,2,2))]. given #2231 (H,wt=17): 2395 T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. [para(20(a,1),2394(a,1,2))]. given #2232 (H,wt=17): 2396 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(70(a,1),2394(a,1,2))]. given #2233 (H,wt=19): 2392 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2390(a,1),127(a,1,2))]. given #2234 (H,wt=24): 2388 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(2387(a,1),1211(a,1,1,2))]. given #2235 (H,wt=20): 2397 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(255,a,615,a(flip),b,2388,a(flip))]. given #2236 (H,wt=20): 2399 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [para(2397(a,1),21(a,1,1))]. given #2237 (H,wt=23): 2400 R(x \ 1,x,y) != z * (y / (x * y)) | K(y / (x * y),x) = z. [para(2399(a,1),25(a,1))]. given #2238 (H,wt=25): 2384 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(2381(a,1),1292(a,2,1))]. given #2239 (H,wt=29): 2086 (K(x,y) * K(z,x)) \ (K(z,x) * (K(x,y) * u)) != w | L(u,K(x,y),K(z,x)) = w. [para(2075(a,2),431(a,1,1))]. given #2240 (H,wt=29): 2087 ((x * K(y,z)) * K(z,u)) / (K(z,u) * K(y,z)) != w | R(x,K(y,z),K(z,u)) = w. [para(2075(a,2),466(a,1,2))]. given #2241 (H,wt=29): 2115 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(18(a,1),2114(a,2,1,2,1))]. given #2242 (H,wt=29): 2130 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(2127(a,1),1210(a,2,1,1,2)),flip(a)]. given #2243 (H,wt=17): 2402 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(18(a,1),2130(a,1,1,1))]. given #2244 (H,wt=19): 2403 x \ T(x,(y * x) \ y) = T(K(x,(y * x) \ y),x). [hyper(172,a,2402,a,b,19,a),flip(a)]. given #2245 (H,wt=22): 2404 T(x,(y * x) \ y) != x * z | T(K(x,(y * x) \ y),x) = z. [para(2402(a,1),173(a,2)),flip(a)]. given #2246 (H,wt=29): 2306 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1846(a,1),2279(a,2,2))]. given #2247 (H,wt=29): 2315 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(751,a,2288,a)]. given #2248 (H,wt=22): 2406 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2280(a,1),2315(a,1,1,2))]. given #2249 (H,wt=30): 754 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(100(a,1),431(a,1,2,2))]. given #2250 (H,wt=30): 845 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(476(a,1),626(a,1,2,1,2)),flip(a)]. given #2251 (H,wt=27): 2407 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(814,a,845,a),flip(a)]. given #2252 (H,wt=27): 2408 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(21(a,1),2407(a,1,2,1,2,2)),flip(a)]. given #2253 (H,wt=23): 2410 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(308,a,2408,a),flip(a)]. given #2254 (H,wt=17): 2412 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(997,a,2410,a),flip(a)]. given #2255 (H,wt=19): 2414 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [hyper(172,a,2412,a,b,19,a),flip(a)]. given #2256 (H,wt=22): 2415 T(x,x / (x * y)) != y * z | T(x * ((x / y) / x),y) = z. [para(2412(a,1),173(a,2)),flip(a)]. given #2257 (H,wt=23): 2413 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(255,a,1332,a(flip),b,2410,a(flip)),flip(a)]. given #2258 (H,wt=26): 2411 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2408(a,1),308(a,1))]. given #2259 (H,wt=20): 2418 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(996(a,1),2411(a,1))]. given #2260 (H,wt=26): 2419 x * (y * ((x * (y \ (x \ z))) / x)) != u | (x * ((z / y) / x)) * y = u. [para(1332(a,1),2411(a,1))]. given #2261 (H,wt=27): 2409 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(789(a,1),2407(a,2,1))]. given #2262 (H,wt=29): 2420 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). [hyper(1054,a,2409,a),flip(a)]. given #2263 (H,wt=29): 2422 (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). [hyper(172,a,2409,a(flip),b,1770,a),flip(a)]. given #2264 (H,wt=27): 2424 T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(37(a,2),2422(a,1,1))]. given #2265 (H,wt=25): 2425 T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(37(a,2),2424(a,1,2,1,2,1))]. given #2266 (H,wt=30): 901 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(375(a,1),894(a,1,1)),flip(a)]. given #2267 (H,wt=25): 2426 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(255,a,427,a(flip),b,901,a)]. given #2268 (H,wt=23): 2427 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(940(a,1),2426(a,2,2))]. given #2269 (H,wt=30): 1032 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1026(a,1),31(a,2,1)),flip(a)]. given #2270 (H,wt=30): 1066 (x * y) * T((x * y) \ (x * z),u) != w * v5 | (x * (y * T(y \ z,u))) / v5 = w. [para(442(a,2),513(a,1,2))]. given #2271 (H,wt=30): 1539 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = L(R(x \ 1,x,x),y,z) * (x * x). [para(1494(a,1),570(a,1,1,1)),flip(a)]. given #2272 (H,wt=27): 2430 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = (L(x \ 1,y,z) * x) * x. [hyper(255,a,460,a(flip),b,1539,a)]. given #2273 (H,wt=27): 2431 x * (x * L(x \ (x \ (1 / (1 / x))),y,z)) = (L(x \ 1,y,z) * x) * x. [hyper(1048,a,2430,a)]. given #2274 (H,wt=25): 2432 x * (x * L(x \ K(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(1480(a,1),2431(a,1,2,2,1,2))]. given #2275 (H,wt=23): 2433 x * (x * L(T(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(294(a,1),2432(a,1,2,2,1))]. given #2276 (H,wt=21): 2434 (L(x \ 1,y,z) * x) * x = x * (L(x \ 1,y,z) * x). [para(183(a,1),2433(a,1,2)),flip(a)]. given #2277 (H,wt=12): 2435 T(x,L(x \ 1,y,z) * x) = x. [hyper(173,a,2434,a)]. given #2278 (H,wt=15): 2436 T(x \ y,(y \ x) * (x \ y)) = x \ y. [para(342(a,1),2435(a,1,2,1))]. given #2279 (H,wt=19): 2437 T(x \ (x / y),y * (x \ (x / y))) = x \ (x / y). [para(73(a,1),2436(a,1,2,1))]. given #2280 (H,wt=20): 2438 R(x \ (x / y),y,x \ (x / y)) = T(x \ (x / y),y). [para(2437(a,1),718(a,1,1))]. given #2281 (H,wt=29): 2439 T(x \ (x / y),y) \ T((x \ (x / y)) * y,x \ (x / y)) = T(y,x \ (x / y)). [para(2438(a,1),1319(a,1,1))]. given #2282 (H,wt=23): 2440 T(x \ (x / y),y) \ ((x \ (x / y)) * y) = T(y,x \ (x / y)). [para(1733(a,1),2439(a,1,2))]. given #2283 (H,wt=17): 2441 T(x,T(y \ (y / x),x)) = T(x,y \ (y / x)). [hyper(359,a,2440,a)]. given #2284 (H,wt=26): 2442 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(T(1 / x,R(x,y,z)),x)). [para(1175(a,1),2441(a,1,2,1)),flip(a)]. given #2285 (H,wt=24): 2443 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(x \ 1,R(x,y,z))). [para(185(a,1),2442(a,2,2))]. given #2286 (H,wt=21): 2444 T(x,T(1 / x,R(x,y,z))) = T(x,T(x \ 1,R(x,y,z))). [para(1175(a,1),2443(a,1,2))]. given #2287 (H,wt=30): 1590 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1588(a,2),618(a,1,2))]. given #2288 (H,wt=28): 2445 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(895(a,1),1590(a,1,1))]. given #2289 (H,wt=27): 2446 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1109(a,1),2445(a,1,1))]. given #2290 (H,wt=27): 2447 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1588(a,1),2446(a,1,2))]. given #2291 (H,wt=27): 2448 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(255,a,45,a,b,2447,a(flip)),flip(a)]. given #2292 (H,wt=19): 2449 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1571(a,1),2448(a,1,1))]. given #2293 (H,wt=20): 2450 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(255,a,1109,a,b,2449,a(flip)),flip(a)]. given #2294 (H,wt=18): 2452 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(255,a,1591,a(flip),b,2450,a(flip))]. given #2295 (H,wt=20): 2451 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2449(a,1),2012(a,1,2))]. given #2296 (H,wt=30): 1716 T(x \ 1,R(x,y,z)) \ T((x \ 1) * R(x,y,z),x \ 1) = T(R(x,y,z),x \ 1). [para(1713(a,1),1319(a,1,1))]. given #2297 (H,wt=30): 1750 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(114(a,2),1669(a,1,2,2,1,2)),flip(a)]. given #2298 (H,wt=28): 2453 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(656(a,1),1750(a,1,1)),flip(a)]. given #2299 (H,wt=26): 2454 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * (y * T(y \ 1,z))) * z. [para(127(a,1),2453(a,1,2))]. given #2300 (H,wt=30): 1937 (x * y) * L((x * y) \ (z * y),u,w) != y * v5 | T(x * L(x \ z,u,w),y) = v5. [para(1900(a,2),173(a,2)),flip(a)]. given #2301 (H,wt=30): 1944 (x * y) * L((x * y) \ z,u,w) != y * v5 | T(x * L(x \ (z / y),u,w),y) = v5. [para(1901(a,1),173(a,2)),flip(a)]. given #2302 (H,wt=30): 1950 (x * y) * R((x * y) \ (z * y),u,w) != y * v5 | T(x * R(x \ z,u,w),y) = v5. [para(1902(a,2),173(a,2)),flip(a)]. given #2303 (H,wt=30): 1971 (x * y) * ((z * ((x * y) \ y)) / z) != y * u | T(x * ((z * (x \ 1)) / z),y) = u. [para(1903(a,2),173(a,2)),flip(a)]. given #2304 (H,wt=30): 2099 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). [para(382(a,1),1826(a,1,2,2)),flip(a)]. given #2305 (H,wt=30): 2239 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(476(a,1),2231(a,1,2,1,1)),flip(a)]. given #2306 (H,wt=30): 2429 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(255,a,1423,a(flip),b,1032,a(flip)),flip(a)]. given #2307 (H,wt=23): 2456 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(664(a,1),2429(a,1,2)),flip(a)]. given #2308 (H,wt=25): 2457 T(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x. [para(2456(a,2),1540(a,1,2))]. given #2309 (H,wt=30): 2455 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). [para(1406(a,1),2099(a,2,2))]. given #2310 (H,wt=29): 2458 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). [hyper(255,a,192,a(flip),b,2455,a)]. given #2311 (H,wt=25): 2459 L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). [para(1529(a,1),2458(a,1,1)),flip(a)]. given #2312 (H,wt=31): 912 K((x * y) \ 1,x * y) \ ((((x * y) \ 1) * x) * y) != z | a((x * y) \ 1,x,y) = z. [para(189(a,2),636(a,1,1))]. given #2313 (H,wt=31): 1010 K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(505(a,1),433(a,1,2))]. given #2314 (H,wt=31): 1461 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1448(a,2),832(a,1,1))]. given #2315 (H,wt=31): 1692 (x \ 1) * (T(x \ R(x,y,z),x \ 1) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1159(a,1),1687(a,1,2,1,1))]. given #2316 (H,wt=27): 2463 (x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1709(a,1),1692(a,1,2,1))]. given #2317 (H,wt=21): 2464 T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z). [para(1160(a,1),2463(a,1,2)),flip(a)]. given #2318 (H,wt=26): 2465 T(x \ 1,R(x,y,z)) \ ((x \ 1) * R(x,y,z)) = T(R(x,y,z),x \ 1). [para(2464(a,1),1716(a,1,2))]. given #2319 (H,wt=22): 2466 T(R(x,y,z),T(x \ 1,R(x,y,z))) = T(R(x,y,z),x \ 1). [hyper(359,a,2465,a)]. given #2320 (H,wt=22): 2467 R(T(x,T(x \ 1,R(x,y,z))),y,z) = T(R(x,y,z),x \ 1). [hyper(255,a,47,a,b,2466,a(flip)),flip(a)]. given #2321 (H,wt=22): 2468 R(T(x,T(x \ 1,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [hyper(255,a,47,a,b,2467,a)]. given #2322 (H,wt=22): 2469 R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [para(2444(a,2),2468(a,1,1))]. given #2323 (H,wt=31): 1734 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(40,a,1729,a)]. given #2324 (H,wt=31): 1745 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [para(832(a,1),1663(a,1,1))]. given #2325 (H,wt=29): 2471 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(37(a,2),1745(a,1,1,2,2,1,2)),flip(a)]. given #2326 (H,wt=31): 1748 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(255,a,1691,a,b,1669,a(flip)),flip(a)]. given #2327 (H,wt=19): 2472 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(66(a,1),1748(a,1,1)),flip(a)]. given #2328 (H,wt=17): 2473 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(127(a,1),2472(a,1,1))]. given #2329 (H,wt=17): 2475 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(18(a,1),2473(a,1,1,1)),flip(a)]. given #2330 (H,wt=20): 2476 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2473(a,1),25(a,1))]. given #2331 (H,wt=20): 2477 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2475(a,2),25(a,1))]. given #2332 (H,wt=31): 1829 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(255,a,1278,a(flip),b,1822,a)]. given #2333 (H,wt=27): 2478 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1529(a,1),1829(a,1,1))]. given #2334 (H,wt=25): 2479 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1020(a,1),2478(a,1,2))]. given #2335 (H,wt=24): 2480 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(255,a,2165,a(flip),b,2479,a(flip)),flip(a)]. given #2336 (H,wt=22): 2481 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(255,a,2131,a(flip),b,2480,a)]. given #2337 (H,wt=19): 2482 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(23,a,2161,a,b,2481,a(flip)),flip(a)]. given #2338 (H,wt=18): 2483 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(255,a,162,a(flip),b,2482,a),flip(a)]. given #2339 (H,wt=17): 2484 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(162(a,1),2483(a,2,2,2)),flip(a)]. given #2340 (H,wt=17): 2486 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(87,a,2484,a)]. given #2341 (H,wt=19): 2485 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(255,a,17,a,b,2484,a)]. given #2342 (H,wt=13): 2488 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(22,a,1030,a,b,2485,a(flip)),flip(a)]. given #2343 (H,wt=13): 2489 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(80,a,2488,a(flip),b,2456,a(flip)),flip(a)]. given #2344 (H,wt=13): 2492 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(255,a,128,a,b,2489,a)]. given #2345 (H,wt=15): 2490 T(1 / (1 / x),(y * x) \ y) / 1 = x. [para(2488(a,1),2457(a,1,2))]. given #2346 (H,wt=13): 2496 T(1 / (1 / x),(y * x) \ y) = x. [hyper(216,a,2490,a)]. given #2347 (H,wt=15): 2493 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(81,a,2489,a(flip),b,2402,a),flip(a)]. given #2348 (H,wt=13): 2500 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(255,a,1447,a(flip),b,2493,a)]. given #2349 (H,wt=13): 2503 K(x,y \ (y / x)) = K(x,x \ 1). [para(21(a,1),2500(a,1,2,1))]. given #2350 (H,wt=15): 2494 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(19(a,1),2489(a,1,2,1))]. given #2351 (H,wt=15): 2498 T(1 / (1 / (x \ y)),y \ x) = x \ y. [para(19(a,1),2496(a,1,2,1))]. given #2352 (H,wt=15): 2505 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2500(a,2),1535(a,1,1))]. given #2353 (H,wt=15): 2506 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2500(a,2),2243(a,1,1))]. given #2354 (H,wt=15): 2508 1 / T(x \ y,y \ x) = (x \ y) \ 1. [para(2494(a,2),70(a,1,2))]. given #2355 (H,wt=16): 2501 K(x,(y * x) \ y) != z | K(x,x \ 1) = z. [para(2493(a,2),1473(a,1))]. given #2356 (H,wt=17): 2502 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(19(a,1),2500(a,1,2,1)),flip(a)]. given #2357 (H,wt=11): 2518 T(x,K(y \ z,z \ y)) = x. [para(2502(a,1),2245(a,1,2))]. given #2358 (H,wt=17): 2507 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(255,a,616,a,b,2503,a(flip)),flip(a)]. given #2359 (H,wt=17): 2509 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(73(a,1),2494(a,1,2))]. given #2360 (H,wt=17): 2515 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(18(a,1),2508(a,1,2,2))]. given #2361 (H,wt=17): 2516 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(1453,a,2502,a)]. given #2362 (H,wt=19): 2499 (((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y). [para(2496(a,1),167(a,1,1,2))]. given #2363 (H,wt=14): 2522 L(x,(y * x) \ y,x) = 1 / (1 / x). [hyper(255,a,1728,a(flip),b,2499,a(flip)),flip(a)]. given #2364 (H,wt=18): 2524 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [para(19(a,1),2522(a,1,2,1))]. given #2365 (H,wt=18): 2525 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [hyper(255,a,1735,a(flip),b,2524,a(flip)),flip(a)]. given #2366 (H,wt=19): 2513 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(2494(a,2),2294(a,1,1,2))]. given #2367 (H,wt=15): 2528 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(617,a,2513,a)]. given #2368 (H,wt=17): 2529 T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. [para(18(a,1),2528(a,1,2))]. given #2369 (H,wt=19): 2519 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2477,a,2518,a),flip(a)]. given #2370 (H,wt=19): 2521 x * (((y \ (y / x)) \ 1) \ 1) = (y \ (y / x)) * x. [para(2509(a,1),127(a,1,2))]. given #2371 (H,wt=21): 2495 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(104(a,1),2492(a,1,2,1))]. given #2372 (H,wt=17): 2530 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(31(a,2),2495(a,1,2)),flip(a)]. given #2373 (H,wt=15): 2531 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(255,a,128,a(flip),b,2530,a(flip))]. given #2374 (H,wt=11): 2532 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(255,a,2074,a(flip),b,2531,a(flip))]. given #2375 (H,wt=11): 2535 1 / (1 / K(x,y)) = K(x,y). [para(2532(a,1),145(a,1,2,2))]. given #2376 (H,wt=21): 2511 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2494(a,1),1556(a,1,2)),flip(a)]. given #2377 (H,wt=21): 2517 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(18(a,1),2502(a,2,2))]. given #2378 (H,wt=21): 2527 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2524(a,1),2134(a,1,2)),flip(a)]. given #2379 (H,wt=19): 2537 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2502(a,1),2527(a,1,2))]. given #2380 (H,wt=21): 2538 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2507(a,1),2537(a,1,2))]. given #2381 (H,wt=22): 2520 (x * K(y \ z,z \ y)) / x != u | K(y \ z,z \ y) = u. [para(2518(a,1),305(a,1,2)),flip(b)]. given #2382 (H,wt=22): 2526 L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). [para(18(a,1),2524(a,1,2))]. given #2383 (H,wt=16): 2540 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [hyper(255,a,2128,a(flip),b,2526,a(flip)),flip(a)]. given #2384 (H,wt=18): 2542 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(70(a,1),2540(a,1,1))]. given #2385 (H,wt=23): 2504 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(1115(a,2),2500(a,1,2,1))]. given #2386 (H,wt=21): 2543 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(896(a,1),2504(a,1,2))]. given #2387 (H,wt=19): 2544 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(255,a,2502,a(flip),b,2543,a)]. given #2388 (H,wt=24): 2487 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2486(a,1),241(a,1,1))]. given #2389 (H,wt=23): 2545 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(193(a,1),2487(a,2,1))]. given #2390 (H,wt=24): 2536 x * (((x \ y) \ 1) \ 1) != y * z | K((y \ x) \ 1,y \ x) = z. [para(2511(a,1),24(a,1))]. given #2391 (H,wt=25): 2510 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. [para(1204(a,2),2494(a,1,1))]. given #2392 (H,wt=25): 2512 K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). [para(2494(a,2),1657(a,2,1,2,2)),flip(a)]. given #2393 (H,wt=21): 2546 T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). [hyper(255,a,1656,a(flip),b,2512,a(flip))]. given #2394 (H,wt=25): 2514 T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). [para(1204(a,2),2498(a,1,1,2,2))]. given #2395 (H,wt=21): 2548 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). [para(2535(a,1),2514(a,1,1))]. given #2396 (H,wt=15): 2549 ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). [hyper(255,a,2510,a(flip),b,2548,a(flip)),flip(a)]. given #2397 (H,wt=15): 2550 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(2549(a,1),70(a,1,2))]. given #2398 (H,wt=17): 2551 (x \ 1) \ (T(x,y) \ 1) = 1 / (x \ T(x,y)). [hyper(255,a,2179,a,b,2550,a),flip(a)]. given #2399 (H,wt=25): 2547 T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). [para(18(a,1),2546(a,1,1,1)),flip(a)]. given #2400 (H,wt=21): 2552 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). [para(18(a,1),2547(a,1,1,1)),flip(a)]. given #2401 (H,wt=17): 2553 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). [para(18(a,1),2552(a,2,2))]. given #2402 (H,wt=31): 2003 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * ((y \ 1) \ ((y \ 1) * (y * x))). [para(433(a,1),1979(a,1,2,2)),flip(a)]. given #2403 (H,wt=23): 2555 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * (y * x). [para(18(a,1),2003(a,2,2))]. given #2404 (H,wt=22): 2556 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = L(x,y,1 / y). [hyper(255,a,192,a(flip),b,2555,a)]. given #2405 (H,wt=25): 2558 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | L(x,y,1 / y) = z. [para(2555(a,2),434(a,1))]. given #2406 (H,wt=26): 2559 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | (1 / y) * (y * x) = z. [para(2556(a,2),366(a,1))]. given #2407 (H,wt=31): 2093 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1158(a,1),2092(a,1,1)),flip(a)]. given #2408 (H,wt=25): 2560 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1158(a,1),2093(a,1,2,1)),flip(a)]. given #2409 (H,wt=23): 2561 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(80,a,64,a(flip),b,2560,a),flip(a)]. given #2410 (H,wt=31): 2095 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1150(a,1),2094(a,1,1)),flip(a)]. given #2411 (H,wt=25): 2562 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1150(a,1),2095(a,1,2,1)),flip(a)]. given #2412 (H,wt=23): 2563 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(80,a,64,a(flip),b,2562,a),flip(a)]. given #2413 (H,wt=26): 2564 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2563(a,1),24(a,1))]. given #2414 (H,wt=31): 2145 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ 1 = y \ ((y * (x * T(x \ 1,y))) \ y). [para(2144(a,1),1147(a,1,2,1)),flip(a)]. given #2415 (H,wt=25): 2565 x \ ((x * (y * T(y \ 1,x))) \ x) = (x * (y * T(y \ 1,x))) \ 1. [para(2144(a,1),2145(a,1,1)),flip(a)]. given #2416 (H,wt=31): 2146 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(2144(a,1),1194(a,1,1)),flip(a)]. given #2417 (H,wt=25): 2566 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(2144(a,1),2146(a,1,2)),flip(a)]. given #2418 (H,wt=21): 2567 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(255,a,18,a(flip),b,2566,a)]. given #2419 (H,wt=23): 2569 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(924(a,1),2567(a,1,1,2)),flip(a)]. given #2420 (H,wt=17): 2571 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(255,a,924,a(flip),b,2569,a(flip))]. given #2421 (H,wt=25): 2570 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). [para(953(a,2),2567(a,1,1,2)),flip(a)]. given #2422 (H,wt=13): 2572 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(977,a,2570,a),flip(a)]. given #2423 (H,wt=17): 2573 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(313,a,2572,a),flip(a)]. given #2424 (H,wt=31): 2147 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(2144(a,1),1623(a,1,2)),flip(a)]. given #2425 (H,wt=30): 2574 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(255,a,192,a(flip),b,2147,a)]. given #2426 (H,wt=24): 2575 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(2144(a,1),2574(a,1,1)),flip(a)]. given #2427 (H,wt=28): 2576 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(953(a,2),2575(a,1,1)),flip(a)]. given #2428 (H,wt=16): 2577 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(953(a,2),2576(a,1,1,2)),flip(a)]. given #2429 (H,wt=31): 2164 (x * ((y * x) \ y)) * K(x \ 1,x) != z * x | (x \ 1) * (x * L(x \ 1,x,y)) = z. [para(2161(a,1),25(a,1))]. given #2430 (H,wt=31): 2200 (T(x,y) \ x) * T(T(1 / x,T(x,y) \ x),x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2194(a,1),974(a,2,2,1)),flip(a)]. given #2431 (H,wt=29): 2578 (T(x,y) \ x) * T(x \ 1,T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(185(a,1),2200(a,1,2))]. given #2432 (H,wt=23): 2579 ((T(x,y) \ x) / x) * K(x \ 1,x) = (x \ 1) * (T(x,y) \ x). [hyper(225,a,2578,a),flip(a)]. given #2433 (H,wt=26): 2580 ((T(x,y) \ x) / x) * K(x \ 1,x) != z | (x \ 1) * (T(x,y) \ x) = z. [para(2578(a,1),225(a,1))]. given #2434 (H,wt=31): 2277 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) != u | L(T(z,y),y,K(x,x \ 1)) = u. [para(2247(a,1),686(a,1,2))]. given #2435 (H,wt=31): 2287 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2263(a,1),686(a,1,2))]. given #2436 (H,wt=31): 2421 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(308,a,2409,a),flip(a)]. given #2437 (H,wt=27): 2581 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(21(a,1),2421(a,2,2,1,2,1))]. given #2438 (H,wt=27): 2582 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(96,a,2581,a)]. given #2439 (H,wt=25): 2583 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(16(a,1),2582(a,1,1,2,1,2,2)),flip(a)]. given #2440 (H,wt=31): 2428 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2427(a,1),1604(a,1,1)),flip(a)]. given #2441 (H,wt=23): 2586 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2427(a,1),2428(a,1,2,1)),flip(a)]. given #2442 (H,wt=31): 2460 K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). [para(127(a,1),2459(a,1,1)),flip(a)]. given #2443 (H,wt=25): 2587 L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). [hyper(362,a,2460,a),flip(a)]. given #2444 (H,wt=31): 2461 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(189(a,2),1010(a,1,2,1,1))]. given #2445 (H,wt=27): 2588 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. [hyper(255,a,1753,a(flip),b,2461,a)]. given #2446 (H,wt=31): 2462 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1448(a,2),1461(a,1,2,1,1))]. given #2447 (H,wt=27): 2589 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(935(a,1),2462(a,2,2))]. given #2448 (H,wt=19): 2590 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(255,a,1680,a(flip),b,2589,a)]. given #2449 (H,wt=19): 2591 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(661,a,2590,a),flip(a)]. given #2450 (H,wt=19): 2592 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(18(a,1),2590(a,1,2,1)),flip(a)]. given #2451 (H,wt=21): 2594 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(129(a,1),2591(a,2,1))]. given #2452 (H,wt=19): 2596 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(255,a,2112,a(flip),b,2594,a(flip)),flip(a)]. given #2453 (H,wt=19): 2597 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2596(a,1),19(a,1,2))]. given #2454 (H,wt=19): 2599 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(18(a,1),2597(a,1,2,1)),flip(a)]. given #2455 (H,wt=10): 2600 R(x,y,K(x,x \ 1)) = x. [hyper(454,a,2599,a)]. given #2456 (H,wt=14): 2602 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2600(a,1),47(a,2,1))]. given #2457 (H,wt=13): 2603 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(255,a,2111,a(flip),b,2602,a(flip))]. given #2458 (H,wt=17): 2605 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1451(a,1),2603(a,1,2,2))]. given #2459 (H,wt=21): 2595 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2592(a,2),1824(a,1,2))]. given #2460 (H,wt=19): 2606 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(225,a,2595,a)]. given #2461 (H,wt=10): 2608 L(x,y,K(x,x \ 1)) = x. [hyper(422,a,2606,a)]. given #2462 (H,wt=14): 2609 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1529(a,1),2608(a,1,3))]. given #2463 (H,wt=18): 2610 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2609(a,1),45(a,2,1))]. given #2464 (H,wt=22): 2607 K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. [para(2595(a,1),225(a,1))]. given #2465 (H,wt=23): 2593 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [para(2590(a,1),855(a,1,2)),flip(a)]. given #2466 (H,wt=21): 2611 (1 / K(x,x \ 1)) * T(y,x) = T(((x \ 1) * x) * y,x). [para(281(a,1),2593(a,1,1,1)),flip(a)]. given #2467 (H,wt=21): 2612 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(189(a,2),2611(a,2,1,1))]. given #2468 (H,wt=19): 2613 T(K(x \ 1,x) * y,x) = ((x \ 1) * x) * T(y,x). [para(281(a,1),2612(a,1,1)),flip(a)]. given #2469 (H,wt=19): 2614 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(189(a,2),2613(a,2,1))]. given #2470 (H,wt=21): 2615 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2614(a,2),1407(a,1,2))]. given #2471 (H,wt=19): 2616 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(225,a,2615,a)]. given #2472 (H,wt=10): 2617 L(x,y,K(x \ 1,x)) = x. [hyper(422,a,2616,a)]. given #2473 (H,wt=14): 2618 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2617(a,1),45(a,2,1))]. given #2474 (H,wt=13): 2619 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(2157,a,2618,a)]. given #2475 (H,wt=18): 2620 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(1009(a,1),2619(a,1,2)),flip(a)]. given #2476 (H,wt=27): 2598 ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). [para(73(a,1),2596(a,1,2,2,2)),flip(a)]. given #2477 (H,wt=27): 2601 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = ((1 / x) * y) * K(x \ 1,x). [para(1529(a,1),2599(a,1,2)),flip(a)]. given #2478 (H,wt=30): 2621 (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(382(a,1),2598(a,1,1)),flip(a)]. given #2479 (H,wt=30): 2623 (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(1533(a,1),2621(a,1,2,2))]. given #2480 (H,wt=30): 2624 (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2587(a,2),2623(a,1,2))]. given #2481 (H,wt=23): 2625 (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). [hyper(497,a,2624,a),flip(a)]. given #2482 (H,wt=19): 2626 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(1529(a,1),2625(a,1,2))]. given #2483 (H,wt=10): 2627 R(x,y,K(x \ 1,x)) = x. [hyper(454,a,2626,a)]. given #2484 (H,wt=14): 2629 R(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2627(a,1),47(a,2,1))]. given #2485 (H,wt=21): 2631 (T(x,y) \ 1) * K(x \ 1,x) = T(x,y) \ K(x \ 1,x). [para(2629(a,1),379(a,1,1)),flip(a)]. given #2486 (H,wt=22): 2630 x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. [para(2627(a,1),230(a,1,1))]. given #2487 (H,wt=25): 2628 x * ((T(x,y) \ 1) * K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x). [para(1083(a,1),2626(a,1,1)),flip(a)]. given #2488 (H,wt=23): 2632 (T(x,y) \ x) * K(x \ 1,x) = x * (T(x,y) \ K(x \ 1,x)). [para(2631(a,1),2628(a,1,2)),flip(a)]. given #2489 (H,wt=21): 2633 (T(x,y) \ x) * K(x \ 1,x) = T(x,y) \ (1 / (1 / x)). [hyper(255,a,1484,a(flip),b,2632,a)]. given #2490 (H,wt=31): 2585 ((x * y) * ((y * ((x * y) \ x)) / y)) / x = ((x * y) / x) * ((((x * y) / x) \ y) / y). [para(1146(a,1),2583(a,1,2,1)),flip(a)]. given #2491 (H,wt=28): 2634 ((x * y) / x) * ((((x * y) / x) \ y) / y) = ((x * y) * L(1 / y,y,x)) / x. [para(763(a,1),2585(a,1,1,2)),flip(a)]. given #2492 (H,wt=25): 2635 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * (y * (1 / y))) / x. [para(112(a,1),2634(a,2,1))]. given #2493 (H,wt=25): 2636 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * K(y,y \ 1)) / x. [para(1448(a,2),2635(a,2,1,2))]. given #2494 (H,wt=19): 2637 K(x,1 / ((y * x) / y)) = (y * K(x,x \ 1)) / y. [hyper(255,a,2102,a(flip),b,2636,a(flip)),flip(a)]. given #2495 (H,wt=23): 2638 (x * K(x \ y,(x \ y) \ 1)) / x = K(x \ y,1 / (y / x)). [para(19(a,1),2637(a,1,2,2,1)),flip(a)]. given #2496 (H,wt=21): 2639 (x * K(x \ y,y \ x)) / x = K(x \ y,1 / (y / x)). [para(2502(a,1),2638(a,1,1,2))]. given #2497 (H,wt=20): 2641 K(x \ y,1 / (y / x)) != z | K(x \ y,y \ x) = z. [para(2639(a,1),2520(a,1))]. given #2498 (H,wt=21): 2640 (x * (1 / (1 / (x \ y)))) / y = K(y \ x,1 / (x / y)). [para(2527(a,1),2638(a,1,1))]. given #2499 (H,wt=32): 653 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). [para(269(a,1),396(a,1,1,1)),flip(a)]. given #2500 (H,wt=27): 2643 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(255,a,459,a(flip),b,653,a)]. given #2501 (H,wt=23): 2644 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(839,a,2643,a)]. given #2502 (H,wt=23): 2645 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(127(a,1),2644(a,1,2)),flip(a)]. given #2503 (H,wt=32): 1031 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(1029(a,1),265(a,1,1))]. given #2504 (H,wt=32): 1045 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(1040(a,1),618(a,1,2))]. given #2505 (H,wt=25): 2646 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(255,a,1870,a(flip),b,1045,a(flip)),flip(a)]. given #2506 (H,wt=29): 2648 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2646(a,1),789(a,1,1)),flip(a)]. given #2507 (H,wt=29): 2649 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(255,a,570,a(flip),b,2648,a)]. given #2508 (H,wt=22): 2650 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(255,a,1914,a(flip),b,2649,a(flip))]. given #2509 (H,wt=32): 1071 (x * T(x \ 1,y)) * z != (u * x) * T((u * x) \ u,y) | T(u,x * T(x \ 1,y)) = z. [para(656(a,2),173(a,2))]. given #2510 (H,wt=32): 1564 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(33(a,2),1557(a,2,2,1,2,2))]. given #2511 (H,wt=28): 2651 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(839,a,1564,a),flip(a)]. given #2512 (H,wt=26): 2652 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(656(a,1),2651(a,2,2))]. given #2513 (H,wt=21): 2653 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(422,a,2652,a)]. given #2514 (H,wt=21): 2656 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(924(a,1),2653(a,1,1))]. given #2515 (H,wt=24): 2654 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(255,a,1200,a(flip),b,2653,a),flip(a)]. given #2516 (H,wt=25): 2655 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(67(a,1),2653(a,2,1,2))]. given #2517 (H,wt=26): 2658 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(386(a,1),2656(a,2,1,2))]. given #2518 (H,wt=26): 2660 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2403(a,1),2658(a,1,1))]. given #2519 (H,wt=22): 2661 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2506(a,1),2660(a,1,1))]. given #2520 (H,wt=12): 2663 T(x,L(K(y,y \ 1),y,z)) = x. [para(2661(a,2),2256(a,1,2))]. given #2521 (H,wt=24): 2662 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2661(a,2),390(a,1,1)),flip(a)]. given #2522 (H,wt=18): 2665 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(255,a,2517,a(flip),b,2662,a(flip)),flip(a)]. given #2523 (H,wt=28): 2659 L(x * T(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u. [para(2654(a,1),413(a,1))]. given #2524 (H,wt=32): 1585 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(35(a,2),1582(a,1,1,2,2))]. given #2525 (H,wt=28): 2666 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1638(a,1),1585(a,2,1))]. given #2526 (H,wt=26): 2667 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1190(a,1),2666(a,2,1,1))]. given #2527 (H,wt=21): 2668 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(255,a,35,a,b,2667,a),flip(a)]. given #2528 (H,wt=24): 2669 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2667(a,2),466(a,1))]. given #2529 (H,wt=24): 2670 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(255,a,1200,a(flip),b,2668,a),flip(a)]. given #2530 (H,wt=25): 2671 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(67(a,1),2668(a,2,1,2))]. given #2531 (H,wt=25): 2673 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(225,a,2670,a),flip(a)]. given #2532 (H,wt=28): 2674 R(x * T(x \ 1,R(x,y,z)),y,z) != u * R(x,y,z) | R(x,y,z) \ 1 = u. [para(2670(a,1),174(a,1)),flip(b)]. given #2533 (H,wt=32): 1605 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(674,a,1603,a),flip(a)]. given #2534 (H,wt=32): 2423 (x * y) * ((z * ((x * y) \ (u * y))) / z) != y * w | T(x * ((z * (x \ u)) / z),y) = w. [para(2409(a,2),173(a,2)),flip(a)]. given #2535 (H,wt=33): 867 R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). [hyper(80,a,100,a(flip),b,573,a),flip(a)]. given #2536 (H,wt=33): 979 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). [para(954(a,1),793(a,1,1))]. given #2537 (H,wt=21): 2675 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [hyper(255,a,953,a,b,979,a)]. given #2538 (H,wt=29): 2676 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),((x * y) \ x) \ 1). [para(2675(a,1),129(a,1,1)),flip(a)]. given #2539 (H,wt=23): 2677 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),y). [hyper(255,a,2553,a(flip),b,2676,a)]. given #2540 (H,wt=33): 1047 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(506(a,1),433(a,1,2))]. given #2541 (H,wt=33): 1049 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(507(a,1),433(a,1,2))]. given #2542 (H,wt=33): 1152 T(x,y) \ L(T(x,y) * (T(x,y) \ x),z,u) = (T(x,y) \ 1) * L(T(x,T(x,y) \ 1),z,u). [para(1089(a,1),1017(a,1,2,1)),flip(a)]. given #2543 (H,wt=25): 2680 (T(x,y) \ 1) * L(T(x,T(x,y) \ 1),z,u) = T(x,y) \ L(x,z,u). [para(19(a,1),1152(a,1,2,1)),flip(a)]. given #2544 (H,wt=19): 2681 L(x,y,z) \ (T(x,u) \ L(x,y,z)) = T(x,u) \ 1. [hyper(80,a,2680,a(flip),b,183,a(flip))]. given #2545 (H,wt=33): 1178 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1175(a,1),642(a,1,1,2))]. given #2546 (H,wt=32): 2682 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1790(a,1),1178(a,1,1))]. given #2547 (H,wt=27): 2683 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2469(a,1),2682(a,1,1))]. given #2548 (H,wt=24): 2684 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1175(a,1),2683(a,2,1))]. given #2549 (H,wt=27): 2685 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(2684(a,2),624(a,1))]. given #2550 (H,wt=33): 1215 K(R(x \ 1,y,z) \ (x * R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(1174(a,1),1204(a,1,1,2))]. given #2551 (H,wt=26): 2686 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(37(a,2),1215(a,1,1))]. given #2552 (H,wt=25): 2687 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2159(a,1),2686(a,2,2))]. given #2553 (H,wt=33): 1388 (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). [para(122(a,1),424(a,1,2))]. given #2554 (H,wt=33): 1396 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(826(a,1),1153(a,1,1)),flip(a)]. given #2555 (H,wt=31): 2688 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(826(a,1),1396(a,1,2)),flip(a)]. given #2556 (H,wt=33): 1433 T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(1424(a,2),1222(a,1,2))]. given #2557 (H,wt=30): 2689 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2654(a,1),1433(a,1,1))]. given #2558 (H,wt=28): 2690 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(289(a,1),2689(a,1,1,1))]. given #2559 (H,wt=26): 2691 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1424(a,1),2690(a,1,2))]. given #2560 (H,wt=26): 2692 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [hyper(255,a,45,a,b,2691,a(flip)),flip(a)]. given #2561 (H,wt=24): 2693 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1429(a,1),2692(a,2,1))]. given #2562 (H,wt=17): 2694 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2258(a,1),2693(a,1,1))]. given #2563 (H,wt=22): 2695 (x * y) * K(L(z,y,x) \ 1,z) = x * (y * K(z \ 1,z)). [para(2694(a,1),112(a,1,2))]. given #2564 (H,wt=25): 2697 (x * y) * z != x * (y * K(u \ 1,u)) | K(L(u,y,x) \ 1,u) = z. [para(2695(a,1),24(a,1)),flip(a)]. given #2565 (H,wt=33): 1899 L(x,1 / (1 / y),K(1 / (1 / y),(1 / (1 / y)) \ 1)) = L(x,K(y,y \ 1),1 / (1 / y)). [para(1534(a,1),1831(a,2,2))]. given #2566 (H,wt=33): 2326 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(581(a,1),1948(a,2,2,1))]. given #2567 (H,wt=31): 2698 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(105(a,1),2326(a,1,1))]. given #2568 (H,wt=29): 2699 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(105(a,1),2698(a,1,2,1,1))]. given #2569 (H,wt=33): 2417 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1903(a,1),2413(a,1,2)),flip(a)]. given #2570 (H,wt=33): 2622 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2193(a,1),2601(a,2,1))]. given #2571 (H,wt=29): 2700 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = (x \ 1) * (T(x,y) \ x). [hyper(255,a,2579,a(flip),b,2622,a)]. given #2572 (H,wt=25): 2701 (1 / x) * ((T(x,y) \ x) * K(x \ 1,x)) = (x \ 1) * (T(x,y) \ x). [para(1529(a,1),2700(a,1,2,2))]. given #2573 (H,wt=23): 2702 (1 / x) * (T(x,y) \ (1 / (1 / x))) = (x \ 1) * (T(x,y) \ x). [para(2633(a,1),2701(a,1,2))]. given #2574 (H,wt=21): 2703 (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). [para(2300(a,1),2702(a,1,2))]. given #2575 (H,wt=15): 2704 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(2199,a,2703,a),flip(a)]. given #2576 (H,wt=15): 2705 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(80,a,2198,a(flip),b,2703,a(flip))]. given #2577 (H,wt=13): 2708 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(255,a,2551,a(flip),b,2705,a(flip)),flip(a)]. given #2578 (H,wt=13): 2709 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(255,a,2179,a(flip),b,2705,a(flip)),flip(a)]. given #2579 (H,wt=13): 2710 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(2708(a,1),148(a,1,2,1))]. given #2580 (H,wt=18): 2706 (x \ 1) * (T(x,y) \ x) != z | T(x,y) \ 1 = z. [para(2703(a,1),2199(a,1))]. given #2581 (H,wt=19): 2707 T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). [hyper(284,a,2704,a),flip(a)]. given #2582 (H,wt=19): 2712 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(129(a,1),2709(a,1,1,2)),flip(a)]. given #2583 (H,wt=17): 2715 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(129(a,1),2712(a,1,1)),flip(a)]. given #2584 (H,wt=19): 2713 (x * T(x \ 1,y)) \ 1 = T(1 / x,y) \ (1 / x). [para(663(a,1),2709(a,1,1))]. given #2585 (H,wt=19): 2717 (x * T(x \ 1,y)) \ 1 = x \ (T(1 / x,y) \ 1). [hyper(255,a,2707,a(flip),b,2713,a)]. given #2586 (H,wt=21): 2716 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(18(a,1),2715(a,1,1,2)),flip(a)]. given #2587 (H,wt=17): 2719 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(18(a,1),2716(a,1,1)),flip(a)]. given #2588 (H,wt=17): 2720 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(2719(a,1),70(a,1,2))]. given #2589 (H,wt=20): 2721 1 / (x \ ((y * x) / y)) != z | ((y * x) / y) \ x = z. [para(2719(a,1),303(a,1,2)),flip(b)]. given #2590 (H,wt=22): 2714 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1923(a,1),2709(a,1,1,2)),flip(a)]. given #2591 (H,wt=18): 2722 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(18(a,1),2714(a,2,1))]. given #2592 (H,wt=25): 2711 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(47(a,2),2709(a,1,1,2))]. given #2593 (H,wt=25): 2718 (x \ y) \ (T(1 / (x \ y),z) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1555(a,1),2717(a,1,1)),flip(a)]. given #2594 (H,wt=25): 2724 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(47(a,2),2711(a,2,1))]. given #2595 (H,wt=33): 2678 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(189(a,2),1047(a,1,2,1,1))]. given #2596 (H,wt=33): 2679 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(189(a,2),1049(a,1,2,1,1))]. given #2597 (H,wt=33): 2725 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(255,a,1945,a(flip),b,2678,a)]. given #2598 (H,wt=29): 2727 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1018(a,1),2725(a,2,1))]. given #2599 (H,wt=33): 2726 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(255,a,1934,a(flip),b,2679,a)]. given #2600 (H,wt=29): 2728 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(1017(a,1),2726(a,2,1))]. given #2601 (H,wt=34): 772 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(269(a,1),578(a,1,1,1)),flip(a)]. given #2602 (H,wt=29): 2729 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(255,a,461,a(flip),b,772,a)]. given #2603 (H,wt=25): 2730 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1391,a,2729,a)]. given #2604 (H,wt=28): 2731 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1234(a,1),2730(a,2,1,1))]. given #2605 (H,wt=34): 1015 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(927(a,1),487(a,1,1,1))]. given #2606 (H,wt=34): 1974 R(x,y,z) * (z * R(z \ (y * z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. [para(149(a,1),1945(a,1,2,2,1,2))]. given #2607 (H,wt=32): 2732 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [para(37(a,2),1974(a,1,2,2,1)),flip(a)]. given #2608 (H,wt=30): 2733 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(184(a,1),2732(a,2,2))]. given #2609 (H,wt=34): 2276 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) = R(T(z,y * K(x,x \ 1)),y,K(x,x \ 1)). [para(2247(a,2),574(a,1,1))]. given #2610 (H,wt=27): 2734 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = L(T(x,y),y,K(z,z \ 1)). [hyper(2277,a,2276,a),flip(a)]. given #2611 (H,wt=34): 2286 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). [para(2263(a,2),574(a,1,1))]. given #2612 (H,wt=27): 2735 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(2287,a,2286,a),flip(a)]. given #2613 (H,wt=34): 2584 ((x * y) * L((x \ (z * u)) / y,y,x)) / u = ((x * y) / u) * ((y * (((x * y) / u) \ z)) / y). [para(782(a,2),2582(a,1,1,2))]. given #2614 (H,wt=31): 2736 ((x * y) / z) * ((y * (((x * y) / z) \ u)) / y) = (x * (y * ((x \ (u * z)) / y))) / z. [para(112(a,1),2584(a,1,1)),flip(a)]. given #2615 (H,wt=35): 1139 (1 / x) \ (((1 / x) \ 1) \ T((1 / x) \ 1,y)) = x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1). [hyper(80,a,815,a(flip),b,855,a)]. given #2616 (H,wt=31): 2737 x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T((1 / x) \ 1,y)). [para(73(a,1),1139(a,1,2,1)),flip(a)]. given #2617 (H,wt=27): 2738 x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)). [para(73(a,1),2737(a,2,2,2,1))]. given #2618 (H,wt=23): 2739 x * T(x \ T(x,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)). [para(73(a,1),2738(a,1,2,1,2,1))]. given #2619 (H,wt=19): 2740 (1 / x) \ (x \ T(x,y)) = x * T(x \ T(x,y),x). [para(73(a,1),2739(a,1,2,2)),flip(a)]. given #2620 (H,wt=17): 2741 (1 / x) \ (x \ T(x,y)) = (x \ T(x,y)) * x. [hyper(255,a,127,a(flip),b,2740,a)]. given #2621 (H,wt=26): 2742 (x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ (x \ (x * K(x,y))). [para(1923(a,1),2741(a,1,2,2)),flip(a)]. given #2622 (H,wt=22): 2743 (x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ K(x,y). [para(18(a,1),2742(a,2,2))]. given #2623 (H,wt=17): 2745 (x \ (x * K(x,y))) * x = (1 / x) \ K(x,y). [para(1923(a,1),2743(a,1,1,2))]. given #2624 (H,wt=13): 2746 (1 / x) \ K(x,y) = K(x,y) * x. [para(18(a,1),2745(a,1,1)),flip(a)]. given #2625 (H,wt=35): 1155 L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [para(1153(a,1),593(a,1,1,2)),flip(a)]. given #2626 (H,wt=35): 1164 R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [para(1159(a,1),593(a,1,1,2)),flip(a)]. given #2627 (H,wt=35): 1393 (x * R(x \ 1,y,z)) * u != (w * x) * R((w * x) \ w,y,z) | T(w,x * R(x \ 1,y,z)) = u. [para(821(a,2),173(a,2))]. given #2628 (H,wt=35): 1395 (x * L(x \ 1,y,z)) * u != (w * x) * L((w * x) \ w,y,z) | T(w,x * L(x \ 1,y,z)) = u. [para(824(a,2),173(a,2))]. given #2629 (H,wt=35): 1808 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(1807(a,1),1766(a,1,2,1,2))]. given #2630 (H,wt=23): 2748 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(18(a,1),1808(a,1,2,1)),flip(a)]. given #2631 (H,wt=35): 1889 K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = T(x,x \ 1) \ (K(x,x \ 1) * y). [para(1888(a,1),1821(a,1,2,1)),flip(a)]. given #2632 (H,wt=32): 2749 K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [hyper(255,a,1466,a(flip),b,1889,a)]. given #2633 (H,wt=24): 2750 K(x,x \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [para(1888(a,1),2749(a,1,1))]. given #2634 (H,wt=24): 2751 L(x \ y,x,K(x,x \ 1)) = K(x,x \ 1) * (((x \ 1) \ 1) \ y). [para(128(a,1),2750(a,1,2,1)),flip(a)]. given #2635 (H,wt=35): 2166 (L(x,y,z) * u) \ ((x * (x \ u)) * L(T(x,x \ u),y,z)) = a(x,x \ u,L(T(x,x \ u),y,z)). [para(1421(a,1),568(a,1,1))]. given #2636 (H,wt=31): 2752 a(x,x \ y,L(T(x,x \ y),z,u)) = (L(x,z,u) * y) \ (y * L(T(x,x \ y),z,u)). [para(19(a,1),2166(a,1,2,1)),flip(a)]. given #2637 (H,wt=35): 2470 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). [para(1203(a,2),1734(a,2,2,1))]. given #2638 (H,wt=31): 2754 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(255,a,1734,a(flip),b,2470,a(flip))]. given #2639 (H,wt=27): 2755 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(2183(a,1),2754(a,1,2))]. given #2640 (H,wt=25): 2756 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(255,a,2211,a(flip),b,2755,a(flip))]. given #2641 (H,wt=24): 2757 T(1 / (1 / x),y) \ T(x,y) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2756(a,1),2206(a,1))]. given #2642 (H,wt=35): 2657 L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). [para(20(a,1),2656(a,2,1,2))]. given #2643 (H,wt=26): 2758 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1720(a,1),2657(a,1,1,2)),flip(a)]. given #2644 (H,wt=24): 2759 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(60(a,1),2758(a,2,1))]. given #2645 (H,wt=21): 2760 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(255,a,325,a(flip),b,2759,a)]. given #2646 (H,wt=23): 2763 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2760(a,1),263(a,1,2)),flip(a)]. given #2647 (H,wt=21): 2764 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(255,a,17,a(flip),b,2763,a)]. given #2648 (H,wt=24): 2765 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2764(a,1),25(a,1)),flip(a)]. given #2649 (H,wt=36): 1920 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1159(a,1),1911(a,2,2,1))]. given #2650 (H,wt=34): 2766 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1962(a,1),1920(a,1,2,1))]. given #2651 (H,wt=24): 2767 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(20(a,1),2766(a,1,2)),flip(a)]. given #2652 (H,wt=24): 2768 (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). [para(2767(a,1),19(a,1,2)),flip(a)]. given #2653 (H,wt=27): 2770 (x \ 1) * K(R(x,y,z),x \ 1) != u | (x \ R(x,y,z)) / R(x,y,z) = u. [para(2767(a,1),220(a,1,2)),flip(b)]. given #2654 (H,wt=27): 2771 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. [para(2768(a,2),222(a,1,2)),flip(b)]. given #2655 (H,wt=37): 1290 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(407(a,1),1214(a,1,1,2,2,1))]. given #2656 (H,wt=35): 2772 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(2182(a,1),1290(a,1,1,2))]. given #2657 (H,wt=29): 2773 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(939(a,1),2772(a,1,1,2)),flip(a)]. given #2658 (H,wt=23): 2774 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(942(a,1),2773(a,2,1))]. given #2659 (H,wt=19): 2775 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(407(a,1),2774(a,1,1))]. given #2660 (H,wt=17): 2776 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(2757,a,2775,a)]. given #2661 (H,wt=37): 1382 (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). [para(1159(a,1),1381(a,1,1,2,1))]. given #2662 (H,wt=37): 2089 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(398(a,2),2058(a,2,1,2,1)),flip(a)]. given #2663 (H,wt=35): 2778 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(1111(a,1),2089(a,2,2,1))]. given #2664 (H,wt=25): 2779 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1925(a,1),2778(a,1,1)),flip(a)]. given #2665 (H,wt=19): 2780 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(255,a,2101,a(flip),b,2779,a(flip)),flip(a)]. given #2666 (H,wt=37): 2155 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(2154(a,1),790(a,1,2,1))]. given #2667 (H,wt=36): 2781 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(765(a,1),2155(a,2,1))]. given #2668 (H,wt=34): 2782 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(255,a,2688,a(flip),b,2781,a)]. given #2669 (H,wt=37): 2156 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(2154(a,1),1909(a,2,2,1)),flip(a)]. given #2670 (H,wt=35): 2783 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1773(a,1),2156(a,2,2,1))]. given #2671 (H,wt=27): 2784 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(20(a,1),2783(a,2,2))]. given #2672 (H,wt=22): 2785 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [hyper(255,a,2782,a(flip),b,2784,a(flip)),flip(a)]. given #2673 (H,wt=22): 2787 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [para(2785(a,1),19(a,1,2))]. given #2674 (H,wt=19): 2788 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(255,a,2525,a(flip),b,2787,a)]. given #2675 (H,wt=17): 2789 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(22,a,1483,a,b,2788,a),flip(a)]. given #2676 (H,wt=19): 2791 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2789(a,1),2511(a,1,2))]. given #2677 (H,wt=21): 2790 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(255,a,615,a(flip),b,2789,a)]. given #2678 (H,wt=16): 2792 L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). [hyper(255,a,2661,a,b,2790,a(flip)),flip(a)]. given #2679 (H,wt=14): 2794 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(255,a,2500,a(flip),b,2792,a)]. given #2680 (H,wt=17): 2795 K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). [para(2792(a,1),2665(a,2,1)),flip(a)]. given #2681 (H,wt=13): 2798 K((x * y) \ x,y) = K(y \ 1,y). [hyper(255,a,2505,a(flip),b,2795,a(flip))]. given #2682 (H,wt=13): 2800 K(x \ (x / y),y) = K(y \ 1,y). [para(21(a,1),2798(a,1,1,1))]. given #2683 (H,wt=19): 2801 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(127(a,1),2798(a,1,1,1)),flip(a)]. given #2684 (H,wt=20): 2797 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(1529(a,1),2794(a,1,1))]. given #2685 (H,wt=16): 2804 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(255,a,1529,a(flip),b,2797,a)]. given #2686 (H,wt=17): 2805 (x * (y \ 1)) / K(y \ 1,y) = x * (1 / y). [para(2804(a,1),697(a,1,2))]. given #2687 (H,wt=14): 2807 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1764,a,2805,a)]. given #2688 (H,wt=13): 2812 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(1034,a,2807,a),flip(a)]. given #2689 (H,wt=14): 2810 (x * (1 / y)) * y = R(x,y \ 1,y). [para(2805(a,1),1763(a,1,1))]. given #2690 (H,wt=14): 2813 R(x / (1 / y),y \ 1,y) = x * y. [hyper(479,a,2812,a),flip(a)]. given #2691 (H,wt=15): 2816 x \ R(x,y \ 1,y) = a(x,1 / y,y). [para(2812(a,1),648(a,1,2))]. given #2692 (H,wt=17): 2806 (x / (y \ 1)) * (1 / y) = x / K(y \ 1,y). [para(2804(a,1),699(a,1,2)),flip(a)]. given #2693 (H,wt=17): 2808 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(520,a,2805,a),flip(a)]. given #2694 (H,wt=17): 2809 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(2805(a,1),21(a,1,1))]. given #2695 (H,wt=12): 2822 R(x,1 / y,K(y \ 1,y)) = x. [hyper(758,a,2809,a)]. given #2696 (H,wt=14): 2823 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1449(a,1),2822(a,1,3))]. given #2697 (H,wt=17): 2815 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(70(a,1),2812(a,1,2)),flip(a)]. given #2698 (H,wt=17): 2820 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [para(2808(a,1),21(a,1,1))]. given #2699 (H,wt=17): 2821 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2271,a,2809,a)]. given #2700 (H,wt=17): 2824 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(255,a,1471,a(flip),b,2823,a(flip)),flip(a)]. given #2701 (H,wt=17): 2825 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2823(a,1),1470(a,1,1)),flip(a)]. given #2702 (H,wt=17): 2826 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(255,a,1367,a,b,2820,a(flip)),flip(a)]. given #2703 (H,wt=17): 2827 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(255,a,1368,a(flip),b,2820,a(flip))]. given #2704 (H,wt=16): 2834 1 / (1 / x) != y | x * K(x \ 1,x) = y. [para(2827(a,1),302(a,1))]. given #2705 (H,wt=17): 2829 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(255,a,2110,a(flip),b,2824,a(flip)),flip(a)]. given #2706 (H,wt=17): 2831 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2826(a,1),21(a,1,1))]. given #2707 (H,wt=17): 2833 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2271,a,2827,a)]. given #2708 (H,wt=18): 2814 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [hyper(255,a,554,a(flip),b,2812,a(flip))]. given #2709 (H,wt=18): 2817 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(2335(a,1),2810(a,1,1))]. given #2710 (H,wt=19): 2835 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(255,a,2538,a(flip),b,2829,a(flip)),flip(a)]. given #2711 (H,wt=19): 2836 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(80,a,2829,a(flip),b,2538,a(flip)),flip(a)]. given #2712 (H,wt=19): 2839 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(70(a,1),2835(a,1,2,2,2,2)),flip(a)]. given #2713 (H,wt=19): 2840 (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). [para(2835(a,1),2295(a,1,1))]. given #2714 (H,wt=19): 2841 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(70(a,1),2836(a,2,2,2,2))]. given #2715 (H,wt=19): 2842 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2836(a,1),73(a,1,1))]. given #2716 (H,wt=19): 2843 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(18(a,1),2839(a,2,2,2,2))]. given #2717 (H,wt=18): 2847 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2542(a,2),2843(a,1,2))]. given #2718 (H,wt=14): 2848 x / L(y,y \ 1,x) = x * (1 / y). [para(70(a,1),2847(a,2,2,2))]. given #2719 (H,wt=18): 2849 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2848(a,2),615(a,1,1,2))]. given #2720 (H,wt=18): 2850 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(255,a,2653,a,b,2849,a(flip)),flip(a)]. given #2721 (H,wt=19): 2844 (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). [para(2839(a,1),73(a,1,1))]. given #2722 (H,wt=19): 2845 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. [para(70(a,1),2840(a,1,1,2,2)),flip(a)]. given #2723 (H,wt=19): 2846 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(145(a,1),2842(a,1,1,2,2)),flip(a)]. given #2724 (H,wt=19): 2854 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. [para(2845(a,1),73(a,1,1)),flip(a)]. given #2725 (H,wt=19): 2855 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2846(a,1),73(a,1,1))]. given #2726 (H,wt=17): 2857 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(255,a,2509,a,b,2855,a(flip)),flip(a)]. given #2727 (H,wt=17): 2859 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2857(a,2),19(a,1,2))]. given #2728 (H,wt=17): 2861 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(2307,a,2859,a)]. given #2729 (H,wt=17): 2862 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(2305,a,2859,a)]. given #2730 (H,wt=17): 2863 x * T(x \ (x / y),y) = x / T(y,y \ 1). [hyper(255,a,601,a,b,2859,a)]. given #2731 (H,wt=17): 2864 (x / y) * K(y \ 1,y) = x / T(y,y \ 1). [hyper(255,a,601,a,b,2861,a)]. given #2732 (H,wt=17): 2865 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(20(a,1),2861(a,1,1)),flip(a)]. given #2733 (H,wt=17): 2866 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2861(a,1),1758(a,1,1))]. given #2734 (H,wt=17): 2868 (x / T(y,y \ 1)) * y = x * K(y \ 1,y). [para(2864(a,1),1758(a,1,1))]. given #2735 (H,wt=17): 2869 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [para(2865(a,1),21(a,1,1))]. given #2736 (H,wt=17): 2870 (x / ((y \ 1) \ 1)) * y = K(y \ 1,y) * x. [hyper(255,a,2263,a,b,2866,a)]. given #2737 (H,wt=17): 2871 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(20(a,1),2866(a,1,1)),flip(a)]. given #2738 (H,wt=17): 2872 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(602(a,1),2866(a,1,1)),flip(a)]. given #2739 (H,wt=17): 2876 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2263(a,2),2869(a,1,1))]. given #2740 (H,wt=17): 2878 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [para(602(a,1),2870(a,1,1)),flip(a)]. given #2741 (H,wt=18): 2879 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(23,a,465,a,b,2871,a)]. given #2742 (H,wt=17): 2884 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(468,a,2879,a)]. given #2743 (H,wt=17): 2887 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(255,a,2812,a,b,2884,a)]. given #2744 (H,wt=19): 2856 x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). [para(2846(a,1),148(a,1,2,1))]. given #2745 (H,wt=19): 2858 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2855(a,1),2521(a,1,2))]. given #2746 (H,wt=19): 2860 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [para(73(a,1),2857(a,2,2,2,1))]. given #2747 (H,wt=19): 2877 (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. [para(2809(a,1),2869(a,1,1))]. given #2748 (H,wt=19): 2881 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2872(a,1),2831(a,1,1)),flip(a)]. given #2749 (H,wt=19): 2885 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [hyper(80,a,2879,a(flip),b,634,a),flip(a)]. given #2750 (H,wt=17): 2892 a(x,y \ 1,(y \ 1) \ 1) = a(x,1 / y,y). [hyper(255,a,2816,a(flip),b,2885,a)]. given #2751 (H,wt=19): 2889 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(70(a,1),2856(a,1,2,1,1,2)),flip(a)]. given #2752 (H,wt=20): 2818 L(a(x,1 / y,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2816(a,1),2406(a,1,1))]. given #2753 (H,wt=20): 2830 x * K(y,y \ 1) != z * y | z * (1 / (1 / y)) = x. [para(2825(a,1),25(a,1)),flip(a)]. given #2754 (H,wt=20): 2832 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2826(a,1),2813(a,1,1))]. given #2755 (H,wt=20): 2837 x / (1 / (1 / y)) != z * K(y,y \ 1) | x / y = z. [para(2829(a,1),25(a,1))]. given #2756 (H,wt=20): 2874 x * ((y \ 1) \ 1) != z * y | z * K(y \ 1,y) = x. [para(2869(a,1),25(a,1)),flip(a)]. given #2757 (H,wt=20): 2875 (x * K(y \ 1,y)) * ((y \ 1) \ 1) != z * y | z = x. [para(2869(a,2),25(a,2)),flip(a)]. given #2758 (H,wt=20): 2880 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2872(a,1),25(a,1)),flip(a)]. given #2759 (H,wt=20): 2882 x * ((y \ 1) \ 1) != z * y | K(y \ 1,y) * z = x. [para(2876(a,1),25(a,1)),flip(a)]. given #2760 (H,wt=20): 2883 (K(x \ 1,x) * y) * ((x \ 1) \ 1) != z * x | z = y. [para(2876(a,2),25(a,2)),flip(a)]. given #2761 (H,wt=21): 2793 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(2790(a,1),1573(a,1,2))]. given #2762 (H,wt=19): 2894 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(2500(a,1),2793(a,1,2))]. given #2763 (H,wt=17): 2895 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2489(a,1),2894(a,2,2))]. given #2764 (H,wt=17): 2896 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2492(a,1),2894(a,2,2))]. given #2765 (H,wt=17): 2898 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2249,a,2895,a)]. given #2766 (H,wt=17): 2899 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(308,a,2895,a),flip(a)]. given #2767 (H,wt=17): 2900 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(255,a,2108,a,b,2895,a(flip)),flip(a)]. given #2768 (H,wt=15): 2911 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(23,a,2876,a(flip),b,2900,a)]. given #2769 (H,wt=15): 2912 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(23,a,2869,a(flip),b,2900,a)]. given #2770 (H,wt=15): 2913 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2882,a,2900,a(flip))]. given #2771 (H,wt=15): 2914 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(2874,a,2900,a(flip))]. given #2772 (H,wt=15): 2916 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(2249,a,2911,a)]. given #2773 (H,wt=15): 2918 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(23,a,2247,a(flip),b,2911,a)]. given #2774 (H,wt=15): 2919 K(x,x \ 1) \ y = K(x \ 1,x) * y. [hyper(80,a,2911,a(flip),b,2247,a)]. given #2775 (H,wt=15): 2924 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2249,a,2912,a)]. given #2776 (H,wt=15): 2925 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(308,a,2912,a),flip(a)]. given #2777 (H,wt=15): 2928 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(23,a,2247,a(flip),b,2912,a)]. given #2778 (H,wt=15): 2929 K(x,x \ 1) \ y = y * K(x \ 1,x). [hyper(80,a,2912,a(flip),b,2247,a)]. given #2779 (H,wt=15): 2934 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(310,a,2916,a),flip(a)]. given #2780 (H,wt=17): 2903 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(2249,a,2896,a)]. given #2781 (H,wt=17): 2904 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(308,a,2896,a),flip(a)]. given #2782 (H,wt=17): 2905 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) = y. [hyper(80,a,2896,a(flip),b,2108,a)]. given #2783 (H,wt=10): 2949 L(x,K(x,x \ 1),y) = x. [hyper(1468,a,2905,a)]. given #2784 (H,wt=14): 2950 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1529(a,1),2949(a,1,2))]. given #2785 (H,wt=17): 2906 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [hyper(2607,a,2898,a)]. given #2786 (H,wt=17): 2909 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(81,a,314,a(flip),b,2900,a),flip(a)]. given #2787 (H,wt=17): 2910 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(23,a,2877,a(flip),b,2900,a)]. given #2788 (H,wt=17): 2915 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(2830,a,2911,a),flip(a)]. given #2789 (H,wt=17): 2922 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [para(2833(a,1),2911(a,1,1))]. given #2790 (H,wt=17): 2923 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [hyper(2830,a,2912,a),flip(a)]. given #2791 (H,wt=17): 2927 (x / (1 / (1 / y))) * K(y \ 1,y) = x / y. [hyper(23,a,2829,a,b,2912,a)]. given #2792 (H,wt=17): 2936 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2821(a,1),2916(a,1,2))]. given #2793 (H,wt=17): 2937 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2833(a,1),2916(a,1,2))]. given #2794 (H,wt=17): 2942 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(255,a,2806,a,b,2925,a(flip)),flip(a)]. given #2795 (H,wt=17): 2948 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [hyper(2607,a,2903,a)]. given #2796 (H,wt=18): 2917 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(23,a,2377,a(flip),b,2911,a)]. given #2797 (H,wt=13): 2954 K(x / (y * x),y) = K(y \ 1,y). [hyper(23,a,2399,a,b,2917,a),flip(a)]. given #2798 (H,wt=17): 2955 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(21(a,1),2954(a,1,1,2)),flip(a)]. given #2799 (H,wt=18): 2921 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2911(a,1),2252(a,2))]. given #2800 (H,wt=18): 2930 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(2912(a,1),2252(a,2))]. given #2801 (H,wt=18): 2931 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2913(a,1),24(a,1)),flip(a)]. given #2802 (H,wt=18): 2938 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2918(a,1),24(a,1)),flip(a)]. given #2803 (H,wt=18): 2939 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2918(a,1),2266(a,1)),flip(a),flip(b)]. given #2804 (H,wt=18): 2940 K(x,x \ 1) \ y != z | y * K(x \ 1,x) = z. [para(2919(a,2),2267(a,1))]. given #2805 (H,wt=19): 2908 (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(81,a,2297,a(flip),b,2900,a),flip(a)]. given #2806 (H,wt=13): 2958 K(x,T(x,y) \ 1) = K(x,x \ 1). [hyper(22,a,2352,a,b,2908,a),flip(a)]. given #2807 (H,wt=15): 2959 T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). [hyper(255,a,2243,a,b,2958,a),flip(a)]. given #2808 (H,wt=19): 2926 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(261,a,2912,a)]. given #2809 (H,wt=19): 2952 (x / (1 / (1 / y))) / (1 / y) = (x / y) / (y \ 1). [hyper(81,a,2927,a(flip),b,2820,a),flip(a)]. given #2810 (H,wt=20): 2920 ((x \ 1) * (x * y)) * K(x,x \ 1) = L(y,x,x \ 1). [para(433(a,1),2911(a,1,1))]. given #2811 (H,wt=21): 2803 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(37(a,1),2801(a,2,2)),flip(a)]. given #2812 (H,wt=21): 2853 (x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)). [para(37(a,2),2844(a,1,1,2,2,2))]. given #2813 (H,wt=21): 2957 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(20(a,1),2955(a,2,1))]. given #2814 (H,wt=21): 2961 T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). [para(2776(a,1),2959(a,1,1))]. given #2815 (H,wt=21): 2964 (x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)). [para(2230(a,1),2853(a,1,1,2))]. given #2816 (H,wt=19): 2966 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. [para(127(a,1),2964(a,1,1)),flip(a)]. given #2817 (H,wt=19): 2967 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). [para(2966(a,1),73(a,1,1))]. given #2818 (H,wt=19): 2968 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. [para(70(a,1),2967(a,1,1,1,1,2)),flip(a)]. given #2819 (H,wt=19): 2969 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [para(2968(a,1),73(a,1,1))]. given #2820 (H,wt=21): 2965 K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)). [hyper(255,a,2780,a,b,2961,a(flip))]. given #2821 (H,wt=19): 2971 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). [hyper(255,a,2958,a(flip),b,2965,a(flip)),flip(a)]. given #2822 (H,wt=17): 2972 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [para(199(a,1),2971(a,2,2))]. given #2823 (H,wt=15): 2973 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(255,a,2776,a(flip),b,2972,a(flip)),flip(a)]. given #2824 (H,wt=22): 2852 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(73(a,1),2850(a,1,2))]. given #2825 (H,wt=16): 2974 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(939(a,1),2852(a,1,1))]. given #2826 (H,wt=15): 2975 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(255,a,784,a(flip),b,2974,a(flip))]. given #2827 (H,wt=13): 2976 T(K(1 / (1 / x),y),x) = K(x,y). [para(2975(a,2),166(a,1,1))]. given #2828 (H,wt=15): 2977 T(K(1 / x,y),x \ 1) = K(x \ 1,y). [para(70(a,1),2976(a,1,1,1,2))]. given #2829 (H,wt=19): 2979 K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). [para(2977(a,1),1801(a,1,2)),flip(a)]. given #2830 (H,wt=21): 2978 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(199(a,1),2976(a,1,1,1,2))]. given #2831 (H,wt=17): 2980 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(70(a,1),2978(a,1,1,1))]. given #2832 (H,wt=13): 2981 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(255,a,1799,a(flip),b,2980,a(flip))]. given #2833 (H,wt=22): 2890 (x * (y \ 1)) * ((y \ 1) \ 1) != z * y | x * (1 / y) = z. [para(2877(a,2),25(a,1))]. given #2834 (H,wt=22): 2935 K(x,x \ 1) \ y != z * u | z \ (K(x \ 1,x) * y) = u. [para(2916(a,1),309(a,1,2))]. given #2835 (H,wt=22): 2962 (x / y) * y != z * K(u \ 1,u) | x * K(u,u \ 1) = z. [para(2926(a,2),25(a,1))]. given #2836 (H,wt=23): 2888 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(1248(a,2),2887(a,1,3))]. given #2837 (H,wt=19): 2982 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(70(a,1),2888(a,2,2))]. given #2838 (H,wt=19): 2983 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(128(a,2),2982(a,1,2))]. given #2839 (H,wt=23): 2891 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2392(a,1),2881(a,1,1)),flip(a)]. given #2840 (H,wt=23): 2901 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(127(a,1),2895(a,1,1))]. given #2841 (H,wt=21): 2985 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2776(a,1),2901(a,1,2))]. given #2842 (H,wt=19): 2986 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(255,a,2231,a(flip),b,2985,a)]. given #2843 (H,wt=19): 2987 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(2973(a,1),2986(a,1,2))]. given #2844 (H,wt=22): 2988 ((x \ 1) \ 1) * y != (x * y) * z | K(T(x,y),x \ 1) = z. [para(2987(a,1),24(a,1))]. given #2845 (H,wt=24): 2838 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(2528(a,1),2814(a,1,1)),flip(a)]. given #2846 (H,wt=25): 2873 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(972(a,1),2866(a,1,1)),flip(a)]. given #2847 (H,wt=25): 2907 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2228(a,1),2899(a,1,2))]. given #2848 (H,wt=25): 2963 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2803(a,1),2791(a,1,2)),flip(a)]. given #2849 (H,wt=26): 2886 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(2385(a,2),2879(a,1,2))]. given #2850 (H,wt=26): 2933 R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)). [para(2914(a,1),123(a,2,1))]. given #2851 (H,wt=26): 2941 L(x \ (y * K(z \ 1,z)),x,K(z,z \ 1)) = (K(z,z \ 1) * x) \ y. [para(2924(a,1),114(a,2,2))]. given #2852 (H,wt=26): 2943 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2928(a,1),123(a,2,1))]. given #2853 (H,wt=26): 2984 (x * (y / (y * x))) * (x \ 1) != z * (1 / x) | (y / (y * x)) * x = z. [para(2891(a,1),25(a,1))]. given #2854 (H,wt=27): 2945 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. [para(2934(a,1),2588(a,1,2,1))]. given #2855 (H,wt=28): 2944 K(x * y,(x * y) \ 1) * ((((x * y) \ 1) * x) * y) = a((x * y) \ 1,x,y). [hyper(912,a,2934,a),flip(a)]. given #2856 (H,wt=29): 2946 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2934(a,1),2727(a,1,2,1))]. given #2857 (H,wt=27): 2990 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2903(a,1),2946(a,1,2,1))]. given #2858 (H,wt=29): 2947 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2934(a,1),2728(a,1,2,1))]. given #2859 (H,wt=27): 2991 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(2903(a,1),2947(a,1,2,1))]. given #2860 (H,wt=29): 2992 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2904(a,1),2991(a,1,2,1))]. given #2861 (H,wt=31): 2867 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = x * (L(x,y,z) / T(x,x \ 1)). [para(2863(a,1),1427(a,1,2)),flip(a)]. given #2862 (H,wt=29): 2993 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = x * ((x \ 1) * L(x,y,z)). [para(1850(a,1),2867(a,2,2))]. given #2863 (H,wt=28): 2994 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = L(L(x,y,z),x \ 1,x). [hyper(255,a,190,a(flip),b,2993,a)]. given #2864 (H,wt=27): 2995 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = L(1 / (1 / x),y,z). [hyper(255,a,1497,a(flip),b,2994,a)]. given #2865 (H,wt=24): 2996 L(x,y,z) * (T(1 / x,L(x,y,z)) * x) = L(1 / (1 / x),y,z). [para(1042(a,1),2995(a,1,2,1))]. given #2866 (H,wt=24): 2997 L(x,y,z) * (x * T(x \ 1,L(x,y,z))) = L(1 / (1 / x),y,z). [para(396(a,1),2996(a,1,2))]. given #2867 (H,wt=27): 2998 L(1 / (1 / x),y,z) != L(x,y,z) * u | x * T(x \ 1,L(x,y,z)) = u. [para(2997(a,1),24(a,1))]. given #2868 (H,wt=31): 2989 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y). [para(200(a,1),2907(a,1,1)),flip(a)]. given #2869 (H,wt=31): 2999 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y). [para(2228(a,1),2989(a,2,2,1))]. given #2870 (H,wt=29): 3000 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(255,a,182,a(flip),b,2999,a)]. given #2871 (H,wt=32): 2932 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2913(a,1),114(a,2,1))]. given #2872 (H,wt=33): 2851 x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). [hyper(255,a,115,a,b,2850,a(flip)),flip(a)]. given #2873 (H,wt=33): 2953 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2230(a,1),2937(a,1,2,2))]. given #2874 (H,wt=29): 3001 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(1529(a,1),2953(a,1,1))]. given #2875 (H,wt=35): 2802 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). [para(897(a,1),2800(a,1,1,2)),flip(a)]. given #2876 (H,wt=29): 3002 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1117(a,1),2802(a,2,1))]. given #2877 (H,wt=25): 3003 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(255,a,2544,a(flip),b,3002,a)]. given #2878 (H,wt=36): 2893 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1197(a,1),2832(a,2,1))]. given #2879 (H,wt=37): 2313 T(((x * y) / x) * (((x * y) / x) \ K(y \ 1,y)),((x * y) / x) \ y) = K(y \ (((x * y) / x) \ y),y). [para(2289(a,2),1222(a,1,1,2))]. given #2880 (H,wt=25): 3004 T(K(x \ 1,x),((y * x) / y) \ x) = K(x \ (((y * x) / y) \ x),x). [para(19(a,1),2313(a,1,1))]. given #2881 (H,wt=17): 3005 K(x \ (((y * x) / y) \ x),x) = K(x \ 1,x). [hyper(255,a,2258,a(flip),b,3004,a(flip))]. given #2882 (H,wt=37): 2951 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(2910(a,1),457(a,1,1))]. given #2883 (H,wt=31): 3008 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2910(a,1),2951(a,1,2)),flip(a)]. given #2884 (H,wt=24): 3009 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(255,a,35,a,b,3008,a)]. given #2885 (H,wt=27): 3010 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(3008(a,2),466(a,1))]. given #2886 (H,wt=34): 3011 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,(z \ 1) \ 1)) = R(x,y,1 / (z \ 1)). [para(128(a,2),3009(a,1,2,2))]. given #2887 (H,wt=30): 3012 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). [para(1451(a,1),3011(a,1,3))]. given #2888 (H,wt=26): 3013 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). [para(70(a,1),3012(a,2,3))]. given #2889 (H,wt=38): 1641 x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). [para(1538(a,1),565(a,1,2))]. given #2890 (H,wt=32): 3014 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2605(a,1),1641(a,1,2,2,2)),flip(a)]. given #2891 (H,wt=25): 3015 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2950(a,1),3014(a,1,1)),flip(a)]. given #2892 (H,wt=39): 2160 (x * R(x \ 1,x,y)) \ (T(x,y / (x * y)) * R(x \ 1,x,y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2159(a,1),177(a,1,2,1))]. given #2893 (H,wt=32): 3017 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2030(a,1),2160(a,1,2))]. given #2894 (H,wt=23): 3018 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(710,a,3017,a),flip(a)]. given #2895 (H,wt=17): 3019 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(255,a,2687,a(flip),b,3018,a(flip)),flip(a)]. given #2896 (H,wt=13): 3020 K(x,y / (x * y)) = K(x,x \ 1). [hyper(255,a,2383,a(flip),b,3019,a(flip))]. given #2897 (H,wt=17): 3023 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(21(a,1),3020(a,1,2,2)),flip(a)]. given #2898 (H,wt=19): 3022 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(255,a,2957,a,b,3020,a(flip)),flip(a)]. given #2899 (H,wt=17): 3026 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(3022(a,1),2384(a,1,1))]. given #2900 (H,wt=10): 3030 L(x,y,K(y,y \ 1)) = x. [hyper(1467,a,3026,a(flip))]. given #2901 (H,wt=10): 3035 L(x,K(y,y \ 1),y) = x. [hyper(255,a,1830,a,b,3030,a(flip)),flip(a)]. given #2902 (H,wt=12): 3038 L(x,K(y \ 1,y),1 / y) = x. [hyper(255,a,1832,a(flip),b,3030,a(flip)),flip(a)]. given #2903 (H,wt=12): 3039 L(x,1 / y,K(1 / y,y)) = x. [para(73(a,1),3030(a,1,3,2))]. given #2904 (H,wt=12): 3040 L(x,1 / y,K(y \ 1,y)) = x. [para(1529(a,1),3030(a,1,3))]. given #2905 (H,wt=13): 3044 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(2558,a,3038,a)]. given #2906 (H,wt=14): 3037 L(x,K(y,y \ 1),1 / (1 / y)) = x. [hyper(255,a,1899,a(flip),b,3030,a(flip)),flip(a)]. given #2907 (H,wt=14): 3043 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(2559,a,3038,a)]. given #2908 (H,wt=14): 3046 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(80,a,3038,a(flip),b,2555,a(flip))]. given #2909 (H,wt=14): 3049 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1534(a,1),3039(a,1,3))]. given #2910 (H,wt=14): 3052 L(x \ y,x,x \ 1) = (1 / x) * y. [para(3040(a,1),1994(a,1,1,2))]. given #2911 (H,wt=15): 3065 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(3052(a,1),2620(a,1,2))]. given #2912 (H,wt=16): 3053 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [hyper(651,a,3044,a),flip(a)]. given #2913 (H,wt=17): 3027 K(x \ 1,x) * (T(x,x \ 1) * y) = x * y. [hyper(2921,a,3026,a)]. given #2914 (H,wt=17): 3028 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2253,a,3026,a)]. given #2915 (H,wt=17): 3029 T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. [hyper(533,a,3026,a)]. given #2916 (H,wt=17): 3031 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(255,a,1823,a(flip),b,3026,a(flip)),flip(a)]. given #2917 (H,wt=17): 3032 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(81,a,3026,a(flip),b,1823,a(flip))]. given #2918 (H,wt=10): 3074 R(x,K(x,x \ 1),y) = x. [hyper(1528,a,3032,a)]. given #2919 (H,wt=14): 3075 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1529(a,1),3074(a,1,2))]. given #2920 (H,wt=17): 3036 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(255,a,2751,a(flip),b,3030,a(flip)),flip(a)]. given #2921 (H,wt=17): 3042 x * (((x \ 1) \ 1) \ y) = K(x,x \ 1) \ y. [hyper(255,a,1796,a(flip),b,3035,a(flip)),flip(a)]. given #2922 (H,wt=17): 3047 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(3038(a,1),696(a,1,2)),flip(a)]. given #2923 (H,wt=17): 3048 L(x,y,y \ 1) != z | (1 / y) * (y * x) = z. [para(3038(a,1),2559(a,1))]. given #2924 (H,wt=17): 3050 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(255,a,2098,a(flip),b,3040,a(flip)),flip(a)]. given #2925 (H,wt=17): 3051 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(3040(a,1),1487(a,1,2)),flip(a)]. given #2926 (H,wt=17): 3055 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(70(a,1),3044(a,1,3)),flip(a)]. given #2927 (H,wt=17): 3058 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [para(3037(a,1),1469(a,1,2)),flip(a)]. given #2928 (H,wt=17): 3063 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(3049(a,1),1507(a,1,2)),flip(a)]. given #2929 (H,wt=17): 3067 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(1408,a,3027,a),flip(a)]. given #2930 (H,wt=17): 3068 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [para(128(a,1),3027(a,1,2,1))]. given #2931 (H,wt=17): 3069 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(255,a,273,a(flip),b,3028,a)]. given #2932 (H,wt=13): 3112 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(22,a,2987,a,b,3069,a),flip(a)]. given #2933 (H,wt=15): 3116 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(255,a,2972,a,b,3112,a(flip)),flip(a)]. given #2934 (H,wt=15): 3120 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(80,a,3116,a(flip),b,1448,a(flip))]. given #2935 (H,wt=13): 3126 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(255,a,2246,a(flip),b,3120,a(flip)),flip(a)]. given #2936 (H,wt=13): 3127 (1 / T(x,y)) * x = T(x,y) \ x. [para(3126(a,1),21(a,1,1))]. given #2937 (H,wt=11): 3128 x / T(x,y) = T(x,y) \ x. [hyper(1350,a,3127,a)]. given #2938 (H,wt=11): 3133 (T(x,y) \ x) * T(x,y) = x. [para(3128(a,1),21(a,1,1))]. given #2939 (H,wt=10): 3135 L(x,T(x,y) \ x,x) = x. [hyper(255,a,2452,a,b,3133,a(flip)),flip(a)]. given #2940 (H,wt=11): 3134 (T(x,y) \ x) \ x = T(x,y). [para(3128(a,1),73(a,1,1))]. given #2941 (H,wt=13): 3129 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(172,a,3127,a,b,1083,a)]. given #2942 (H,wt=13): 3137 (x * y) * T(K(y,x),x) = y * x. [para(3135(a,1),2451(a,1,2)),flip(a)]. given #2943 (H,wt=9): 3139 T(K(x,y),y) = K(x,y). [hyper(265,a,3137,a),flip(a)]. given #2944 (H,wt=7): 3140 T(x,K(y,x)) = x. [hyper(40,a,3139,a)]. given #2945 (H,wt=9): 3151 T(x,y \ T(y,x)) = x. [para(1204(a,1),3140(a,1,2))]. given #2946 (H,wt=11): 3141 K(x,y) * y = y * K(x,y). [para(3139(a,1),127(a,1,2)),flip(a)]. given #2947 (H,wt=11): 3142 (x * K(y,x)) / x = K(y,x). [para(3139(a,1),167(a,1,1,2))]. given #2948 (H,wt=11): 3144 T(T(x,y),K(z,x)) = T(x,y). [para(3140(a,1),43(a,1,1)),flip(a)]. given #2949 (H,wt=11): 3150 T(x,y * T(y \ 1,x)) = x. [para(1200(a,1),3140(a,1,2))]. given #2950 (H,wt=11): 3152 T(x,x \ ((y * x) / y)) = x. [para(1575(a,1),3140(a,1,2))]. given #2951 (H,wt=11): 3164 T(K(x,y),T(y,z)) = K(x,y). [hyper(40,a,3144,a)]. given #2952 (H,wt=9): 3168 K(K(x,y),T(y,z)) = 1. [hyper(41,a,3164,a)]. given #2953 (H,wt=11): 3169 K(x \ T(x,y),T(y,z)) = 1. [para(1204(a,1),3168(a,1,1))]. given #2954 (H,wt=12): 3161 L(K(x,y),y,1 / y) = K(x,y). [hyper(255,a,2577,a,b,3142,a(flip)),flip(a)]. given #2955 (H,wt=13): 3171 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(366,a,3161,a)]. given #2956 (H,wt=13): 3172 (1 / x) \ K(y,x) = x * K(y,x). [hyper(80,a,3161,a(flip),b,192,a)]. given #2957 (H,wt=14): 3131 T(x,y) \ x != z | x / T(x,y) = z. [para(3127(a,1),1350(a,1))]. given #2958 (H,wt=15): 3125 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1460,a,3120,a)]. given #2959 (H,wt=15): 3138 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(255,a,2291,a,b,3129,a(flip)),flip(a)]. given #2960 (H,wt=15): 3154 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(3151(a,1),127(a,1,2))]. given #2961 (H,wt=15): 3167 ((x * y) / x) / y = y \ ((x * y) / x). [para(3152(a,1),199(a,1,2))]. given #2962 (H,wt=15): 3170 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(42,a,3169,a)]. given #2963 (H,wt=15): 3177 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [para(3138(a,1),21(a,1,1))]. given #2964 (H,wt=15): 3179 x * (((y * x) / y) / x) = (y * x) / y. [para(3167(a,2),19(a,1,2))]. given #2965 (H,wt=15): 3181 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(315,a,3177,a)]. given #2966 (H,wt=16): 3173 (1 / x) \ K(y,x) != z | x * K(y,x) = z. [para(3161(a,1),497(a,1,2))]. given #2967 (H,wt=17): 3070 x * (y * K(x,x \ 1)) = T(x,x \ 1) * y. [hyper(255,a,2599,a(flip),b,3028,a(flip)),flip(a)]. given #2968 (H,wt=17): 3072 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2924(a,1),3029(a,1,2)),flip(a)]. given #2969 (H,wt=17): 3077 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [hyper(2930,a,3036,a)]. given #2970 (H,wt=17): 3078 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(2921,a,3036,a)]. given #2971 (H,wt=17): 3082 x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x). [hyper(255,a,2929,a(flip),b,3042,a)]. given #2972 (H,wt=17): 3083 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(80,a,2919,a(flip),b,3042,a)]. given #2973 (H,wt=17): 3084 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [hyper(255,a,2281,a(flip),b,3047,a(flip)),flip(a)]. given #2974 (H,wt=17): 3088 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2918(a,1),3047(a,1,2)),flip(a)]. given #2975 (H,wt=17): 3090 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2938,a,3050,a)]. given #2976 (H,wt=17): 3091 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(2931,a,3050,a)]. given #2977 (H,wt=17): 3092 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(2267,a,3050,a)]. given #2978 (H,wt=17): 3094 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(3050(a,1),2096(a,1,2))]. given #2979 (H,wt=17): 3096 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2938,a,3051,a)]. given #2980 (H,wt=14): 3208 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(1828,a,3096,a)]. given #2981 (H,wt=13): 3211 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1016,a,3208,a)]. given #2982 (H,wt=17): 3097 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(2931,a,3051,a)]. given #2983 (H,wt=17): 3098 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(2267,a,3051,a)]. given #2984 (H,wt=17): 3104 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(80,a,19,a(flip),b,3058,a),flip(a)]. given #2985 (H,wt=17): 3105 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [para(2916(a,1),3058(a,1,2)),flip(a)]. given #2986 (H,wt=17): 3106 x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. [para(2924(a,1),3058(a,1,2)),flip(a)]. given #2987 (H,wt=17): 3107 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(2930,a,3063,a)]. given #2988 (H,wt=17): 3109 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(255,a,273,a(flip),b,3067,a(flip)),flip(a)]. given #2989 (H,wt=17): 3113 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [hyper(255,a,2599,a(flip),b,3069,a(flip)),flip(a)]. given #2990 (H,wt=17): 3143 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(3139(a,1),183(a,1,2,1)),flip(a)]. given #2991 (H,wt=10): 3223 T(x,L(K(y,x),z,u)) = x. [hyper(173,a,3143,a)]. given #2992 (H,wt=17): 3145 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(3140(a,1),183(a,1,2,1)),flip(a)]. given #2993 (H,wt=17): 3146 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(3140(a,1),184(a,1,2,1)),flip(a)]. given #2994 (H,wt=17): 3166 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(40,a,3150,a)]. given #2995 (H,wt=17): 3174 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(80,a,3171,a(flip),b,140,a(flip)),flip(a)]. given #2996 (H,wt=17): 3182 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [para(3177(a,1),687(a,1,2))]. given #2997 (H,wt=17): 3186 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [hyper(255,a,2803,a,b,3181,a(flip)),flip(a)]. given #2998 (H,wt=17): 3187 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(255,a,3003,a(flip),b,3181,a(flip))]. given #2999 (H,wt=17): 3188 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3181(a,1),2234(a,1,2))]. given #3000 (H,wt=11): 3232 x * (T(x,y) / x) = T(x,y). [hyper(23,a,2023,a,b,3188,a),flip(a)]. given #3001 (H,wt=11): 3234 T(x,y) / x = x \ T(x,y). [hyper(87,a,3232,a),flip(a)]. given #3002 (H,wt=11): 3236 (x \ T(x,y)) * x = T(x,y). [para(3232(a,1),75(a,1,1,2))]. given #3003 (H,wt=9): 3248 T(x,x \ T(x,y)) = x. [hyper(286,a,3236,a)]. given #3004 (H,wt=9): 3257 K(x,x \ T(x,y)) = 1. [hyper(41,a,3248,a)]. given #3005 (H,wt=9): 3259 K(x,T(x,y) / x) = 1. [para(3234(a,2),3257(a,1,2))]. given #3006 (H,wt=11): 3260 T(1 / x,T(x,y)) = x \ 1. [hyper(80,a,3259,a(flip),b,1135,a),flip(a)]. given #3007 (H,wt=13): 3238 (1 / x) * T(x,y) = x \ T(x,y). [hyper(1371,a,3234,a)]. given #3008 (H,wt=13): 3258 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1204(a,2),3248(a,1,2))]. given #3009 (H,wt=13): 3261 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(255,a,73,a(flip),b,3260,a)]. given #3010 (H,wt=13): 3263 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3260(a,1),185(a,1,1)),flip(a)]. given #3011 (H,wt=13): 3267 T(x,T(1 / x,y)) = T(x,x \ 1). [para(3261(a,1),1440(a,1,1)),flip(a)]. given #3012 (H,wt=14): 3235 x \ T(x,y) != z | T(x,y) / x = z. [para(3232(a,1),222(a,1,2)),flip(b)]. given #3013 (H,wt=14): 3241 (x \ T(x,y)) * x != z | T(x,y) = z. [para(3234(a,1),226(a,1,1)),flip(b)]. given #3014 (H,wt=15): 3246 (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. [para(3234(a,1),2204(a,1,1))]. given #3015 (H,wt=15): 3251 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(128(a,1),3236(a,1,1,2))]. given #3016 (H,wt=15): 3255 T(x,y) = K(y \ (y / (x \ 1)),y) * x. [para(1204(a,2),3236(a,1,1)),flip(a)]. given #3017 (H,wt=15): 3266 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(255,a,1289,a(flip),b,3258,a(flip)),flip(a)]. given #3018 (H,wt=15): 3275 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(3266(a,1),19(a,1,2))]. given #3019 (H,wt=15): 3276 x / ((y * x) / y) = ((y * x) / y) \ x. [para(3266(a,1),70(a,1,2))]. given #3020 (H,wt=16): 3245 x \ T(x,y) != z | (1 / x) * T(x,y) = z. [para(3234(a,1),1371(a,1))]. given #3021 (H,wt=16): 3249 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(255,a,1597,a,b,3236,a(flip)),flip(a)]. given #3022 (H,wt=15): 3280 T(x,x / (y * x)) = T(x,x / (x * y)). [para(163(a,1),3249(a,1,2))]. given #3023 (H,wt=16): 3262 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(255,a,1863,a(flip),b,3260,a(flip)),flip(a)]. given #3024 (H,wt=14): 3283 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(167(a,1),3262(a,1,3,2))]. given #3025 (H,wt=16): 3264 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3260(a,1),352(a,2,1))]. given #3026 (H,wt=17): 3193 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [para(18(a,1),3077(a,1,1)),flip(a)]. given #3027 (H,wt=17): 3195 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(255,a,956,a(flip),b,3078,a(flip)),flip(a)]. given #3028 (H,wt=17): 3203 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(2015,a,3088,a),flip(a)]. given #3029 (H,wt=17): 3206 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(255,a,2263,a(flip),b,3094,a)]. given #3030 (H,wt=17): 3213 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(70(a,1),3211(a,1,2)),flip(a)]. given #3031 (H,wt=17): 3216 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [hyper(2921,a,3104,a)]. given #3032 (H,wt=17): 3218 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(1409,a,3105,a),flip(a)]. given #3033 (H,wt=17): 3239 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(943,a,3234,a)]. given #3034 (H,wt=17): 3240 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(874,a,3234,a),flip(a)]. given #3035 (H,wt=17): 3265 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3260(a,1),1206(a,1,1)),flip(a)]. given #3036 (H,wt=15): 3292 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3263(a,1),3265(a,1,2)),flip(a)]. given #3037 (H,wt=13): 3293 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(255,a,289,a(flip),b,3292,a)]. given #3038 (H,wt=17): 3279 (((x * y) / x) \ y) / y = 1 / ((x * y) / x). [hyper(81,a,3276,a(flip),b,1628,a)]. given #3039 (H,wt=18): 3056 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(3044(a,1),689(a,2,1))]. given #3040 (H,wt=18): 3064 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [hyper(255,a,140,a(flip),b,3052,a)]. given #3041 (H,wt=18): 3130 T(x,y) \ x != x * z | T(1 / T(x,y),x) = z. [para(3127(a,1),173(a,2)),flip(a)]. given #3042 (H,wt=18): 3147 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(3140(a,1),361(a,1,2,1))]. given #3043 (H,wt=18): 3162 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(255,a,1376,a,b,3142,a(flip)),flip(a)]. given #3044 (H,wt=18): 3183 (x * y) / x != y * z | ((x * y) / x) / y = z. [para(3179(a,1),24(a,1))]. given #3045 (H,wt=18): 3237 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(1862,a,3234,a),flip(a)]. given #3046 (H,wt=11): 3299 T(x,y \ ((x * y) / x)) = x. [para(3237(a,1),3248(a,1,2))]. given #3047 (H,wt=9): 3300 T(x,T(y,x) \ y) = x. [para(167(a,1),3299(a,1,2,2))]. given #3048 (H,wt=15): 3301 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(3300(a,1),127(a,1,2))]. given #3049 (H,wt=18): 3242 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(3234(a,1),123(a,1,1))]. given #3050 (H,wt=18): 3256 L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). [para(3236(a,1),864(a,1,1)),flip(a)]. given #3051 (H,wt=10): 3306 L(x,x \ T(x,y),x) = x. [hyper(255,a,70,a(flip),b,3256,a)]. given #3052 (H,wt=18): 3285 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(447,a,3213,a),flip(a)]. given #3053 (H,wt=18): 3289 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3240(a,1),666(a,2,1)),flip(a)]. given #3054 (H,wt=11): 3309 K(1 / x,y) = K(x \ 1,y). [hyper(255,a,2850,a(flip),b,3289,a(flip)),flip(a)]. given #3055 (H,wt=11): 3310 K(1 / (1 / x),y) = K(x,y). [hyper(255,a,616,a(flip),b,3309,a)]. given #3056 (H,wt=9): 3315 T(K(x,y),x) = K(x,y). [para(3310(a,1),2976(a,1,1))]. given #3057 (H,wt=7): 3316 T(x,K(x,y)) = x. [hyper(40,a,3315,a)]. given #3058 (H,wt=11): 3312 K((x \ 1) \ 1,y) = K(x,y). [para(70(a,1),3309(a,1,1)),flip(a)]. given #3059 (H,wt=11): 3317 K(T(x,x \ 1),y) = K(x,y). [hyper(255,a,2981,a,b,3315,a(flip)),flip(a)]. given #3060 (H,wt=11): 3321 T(T(x,y),K(x,z)) = T(x,y). [para(3316(a,1),43(a,1,1)),flip(a)]. given #3061 (H,wt=11): 3332 T(K(x,y),T(x,z)) = K(x,y). [hyper(40,a,3321,a)]. given #3062 (H,wt=14): 3322 K(x,y) * x != z | x * K(x,y) = z. [para(3316(a,1),225(a,1,2))]. given #3063 (H,wt=15): 3323 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3316(a,1),182(a,1,2,1)),flip(a)]. given #3064 (H,wt=15): 3326 T((x * y) / x,K(y,z)) = (x * y) / x. [para(3316(a,1),404(a,1,1,2)),flip(a)]. given #3065 (H,wt=13): 3336 T(K(x,y),(z * x) / z) = K(x,y). [hyper(40,a,3326,a)]. given #3066 (H,wt=17): 3319 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3315(a,1),184(a,1,2,1)),flip(a)]. given #3067 (H,wt=10): 3338 T(x,R(K(x,y),z,u)) = x. [hyper(173,a,3319,a)]. given #3068 (H,wt=10): 3339 K(x,R(K(x,y),z,u)) = 1. [hyper(41,a,3338,a)]. given #3069 (H,wt=17): 3324 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3316(a,1),183(a,1,2,1)),flip(a)]. given #3070 (H,wt=17): 3325 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3316(a,1),184(a,1,2,1)),flip(a)]. given #3071 (H,wt=12): 3341 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(173,a,3325,a)]. given #3072 (H,wt=18): 3302 (T(x,y) \ x) * y != z | y * (T(x,y) \ x) = z. [para(3300(a,1),225(a,1,2))]. given #3073 (H,wt=18): 3335 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3332(a,1),225(a,1,2))]. given #3074 (H,wt=19): 3024 K((x / y) \ 1,x / y) = K(y / x,(y / x) \ 1). [hyper(255,a,2955,a,b,3023,a),flip(a)]. given #3075 (H,wt=17): 3342 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(255,a,3187,a(flip),b,3024,a(flip))]. given #3076 (H,wt=19): 3066 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(70(a,1),3065(a,1,2,1)),flip(a)]. given #3077 (H,wt=19): 3080 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(3036(a,1),2906(a,1,1)),flip(a)]. given #3078 (H,wt=19): 3086 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). [para(2833(a,1),3047(a,1,2))]. given #3079 (H,wt=19): 3087 (x \ 1) * (y * T(x,x \ 1)) = (1 / x) * (y * x). [para(2878(a,1),3047(a,1,2)),flip(a)]. given #3080 (H,wt=19): 3103 ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. [para(3051(a,1),2876(a,1,1))]. given #3081 (H,wt=17): 3347 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [hyper(81,a,2572,a(flip),b,3103,a(flip)),flip(a)]. given #3082 (H,wt=19): 3132 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(255,a,2020,a,b,3128,a(flip)),flip(a)]. given #3083 (H,wt=13): 3348 T(x \ 1,T(x,y) \ x) = x \ 1. [para(3132(a,1),2341(a,1,2))]. given #3084 (H,wt=15): 3350 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(40,a,3348,a)]. given #3085 (H,wt=19): 3148 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(3140(a,1),395(a,1,2,1,1)),flip(a)]. given #3086 (H,wt=19): 3153 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(3140(a,1),2645(a,1,1,1)),flip(a)]. given #3087 (H,wt=11): 3352 (K(x,y) \ y) * K(x,y) = y. [hyper(22,a,104,a(flip),b,3153,a)]. given #3088 (H,wt=11): 3353 x / K(y,x) = K(y,x) \ x. [hyper(96,a,3352,a)]. given #3089 (H,wt=14): 3354 x / K(y,x) != z | K(y,x) \ x = z. [para(3352(a,1),304(a,1,1)),flip(b)]. given #3090 (H,wt=19): 3175 K(x \ 1,x) * K(y,x) = (x \ 1) * (x * K(y,x)). [para(3171(a,1),3051(a,1,2))]. given #3091 (H,wt=19): 3201 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [para(3050(a,1),3083(a,1,2)),flip(a)]. given #3092 (H,wt=19): 3205 ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). [hyper(255,a,3172,a(flip),b,3092,a)]. given #3093 (H,wt=19): 3215 ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). [hyper(81,a,3097,a(flip),b,2942,a)]. given #3094 (H,wt=19): 3217 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(3104(a,1),2906(a,1,1))]. given #3095 (H,wt=19): 3220 (1 / (1 / x)) * (y / (1 / (1 / x))) = x * (y / x). [para(2927(a,1),3106(a,1,2)),flip(a)]. given #3096 (H,wt=19): 3222 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(3107(a,1),2831(a,1,1))]. given #3097 (H,wt=19): 3227 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(3166(a,1),1413(a,1,2)),flip(a)]. given #3098 (H,wt=19): 3229 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(3182(a,2),1083(a,1,2))]. given #3099 (H,wt=19): 3271 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3267(a,1),1898(a,1,1))]. given #3100 (H,wt=17): 3360 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(22,a,3031,a,b,3271,a(flip)),flip(a)]. given #3101 (H,wt=19): 3284 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2396(a,1),3195(a,1,2))]. given #3102 (H,wt=19): 3287 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(255,a,2915,a(flip),b,3218,a)]. given #3103 (H,wt=17): 3367 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(37(a,2),3287(a,1,2))]. given #3104 (H,wt=11): 3368 T(x,1 / (1 / y)) = T(x,y). [hyper(358,a,3367,a),flip(a)]. given #3105 (H,wt=11): 3370 T(x,1 / y) = T(x,y \ 1). [para(70(a,1),3368(a,1,2,2))]. given #3106 (H,wt=11): 3371 T(x,(y \ 1) \ 1) = T(x,y). [para(145(a,1),3368(a,1,2)),flip(a)]. given #3107 (H,wt=11): 3377 T(x,T(y,y \ 1)) = T(x,y). [para(128(a,2),3371(a,1,2))]. given #3108 (H,wt=13): 3378 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(1248(a,2),3371(a,1,2))]. given #3109 (H,wt=15): 3374 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(3370(a,1),127(a,1,2))]. given #3110 (H,wt=17): 3376 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). [para(3371(a,1),127(a,1,2))]. given #3111 (H,wt=17): 3380 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(2396(a,2),3371(a,1,2))]. given #3112 (H,wt=17): 3385 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(3377(a,1),127(a,1,2))]. given #3113 (H,wt=17): 3386 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [para(3377(a,1),595(a,1,2))]. given #3114 (H,wt=17): 3387 (1 / x) * T(y,x \ 1) = y * (1 \ (1 / x)). [para(59(a,2),3374(a,2,2))]. given #3115 (H,wt=18): 3373 T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). [hyper(255,a,715,a(flip),b,3370,a(flip))]. given #3116 (H,wt=19): 3290 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(3240(a,1),2709(a,1,1))]. given #3117 (H,wt=19): 3314 K(T(1 / x,y) \ 1,z) = K(T(x \ 1,y) \ 1,z). [para(2226(a,1),3309(a,1,1))]. given #3118 (H,wt=19): 3330 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(2969(a,1),3312(a,1,1)),flip(a)]. given #3119 (H,wt=19): 3343 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(255,a,3186,a(flip),b,3342,a)]. given #3120 (H,wt=19): 3351 (T(x,y) \ x) * (x \ 1) = (x \ 1) * (T(x,y) \ x). [para(3348(a,1),127(a,1,2))]. given #3121 (H,wt=15): 3394 (T(x,y) \ x) * (x \ 1) = T(x,y) \ 1. [hyper(255,a,2704,a(flip),b,3351,a)]. given #3122 (H,wt=19): 3355 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(23,a,2891,a,b,3222,a)]. given #3123 (H,wt=13): 3395 T(1 / (1 / x),y / (y * x)) = x. [hyper(172,a,3355,a,b,xx)]. given #3124 (H,wt=13): 3397 T(1 / (1 / x),(y / x) / y) = x. [para(21(a,1),3395(a,1,2,2))]. given #3125 (H,wt=19): 3358 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(2630,a,3229,a)]. given #3126 (H,wt=19): 3359 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(255,a,273,a(flip),b,3271,a(flip)),flip(a)]. given #3127 (H,wt=19): 3364 (((x \ 1) \ 1) \ y) / y = (((x \ y) / y) \ 1) \ 1. [hyper(81,a,3284,a(flip),b,2238,a)]. given #3128 (H,wt=19): 3365 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(73(a,1),3284(a,1,2,1,1,2)),flip(a)]. given #3129 (H,wt=19): 3390 T(x \ 1,y) \ (x \ 1) = x \ (T(1 / x,y) \ 1). [hyper(255,a,2717,a(flip),b,3290,a(flip))]. given #3130 (H,wt=19): 3398 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(3397(a,1),168(a,1,2,2))]. given #3131 (H,wt=19): 3400 ((((1 / x) \ y) / y) \ 1) \ 1 = ((x \ 1) \ y) / y. [para(73(a,1),3364(a,1,1,1,1)),flip(a)]. given #3132 (H,wt=19): 3401 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(3365(a,1),70(a,1,2))]. given #3133 (H,wt=19): 3403 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(18(a,1),3401(a,1,2,2,1,1))]. given #3134 (H,wt=17): 3405 T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). [hyper(255,a,2529,a,b,3403,a),flip(a)]. given #3135 (H,wt=17): 3406 x / (x * T(y,y \ 1)) = T(x / (x * y),y). [para(128(a,2),3405(a,2,2,2)),flip(a)]. given #3136 (H,wt=17): 3407 T(x / (x * y),y) \ x = x * T(y,y \ 1). [para(3406(a,1),73(a,1,1))]. given #3137 (H,wt=19): 3404 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2238(a,2),3401(a,1,2))]. given #3138 (H,wt=19): 3408 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [para(20(a,1),3404(a,1,2,1,1,1))]. given #3139 (H,wt=20): 3033 T(x,x \ 1) * y != z * K(x,x \ 1) | x * y = z. [para(3026(a,1),2252(a,1)),flip(b)]. given #3140 (H,wt=20): 3073 T(x,x \ 1) * y != x * z | K(x,x \ 1) * y = z. [para(3031(a,1),24(a,1))]. given #3141 (H,wt=20): 3085 (x \ 1) * y != (1 / x) * z | K(x \ 1,x) * y = z. [para(3047(a,1),24(a,1))]. given #3142 (H,wt=20): 3095 (1 / x) \ y != z * K(x \ 1,x) | (x \ 1) \ y = z. [para(3050(a,1),2266(a,1)),flip(b)]. given #3143 (H,wt=20): 3102 (x \ 1) * y != z * K(x \ 1,x) | (1 / x) * y = z. [para(3051(a,1),2266(a,1)),flip(b)]. given #3144 (H,wt=20): 3111 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x. [para(3068(a,1),2266(a,1)),flip(a),flip(b)]. given #3145 (H,wt=17): 3409 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [hyper(3111,a,3205,a)]. given #3146 (H,wt=19): 3410 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(255,a,3113,a,b,3409,a(flip)),flip(a)]. given #3147 (H,wt=20): 3156 (x * K(y,x)) * L(z,x,K(y,x)) = K(y,x) * (x * z). [para(3141(a,1),112(a,1,1))]. given #3148 (H,wt=20): 3157 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(3141(a,1),122(a,1,2))]. given #3149 (H,wt=20): 3176 (1 / x) * (x * K(y,x)) != z * u | z \ K(y,x) = u. [para(3172(a,1),368(a,1,2))]. given #3150 (H,wt=19): 3411 L(K(x,y),y,1 / y) != z * u | z \ K(x,y) = u. [para(192(a,1),3176(a,1))]. given #3151 (H,wt=20): 3196 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(3078(a,1),2267(a,1))]. given #3152 (H,wt=20): 3198 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) \ x = z. [para(3082(a,1),24(a,1))]. given #3153 (H,wt=20): 3204 L(K(x,x \ 1) * y,x \ 1,x) = x * ((1 / x) * y). [para(3088(a,1),190(a,1,2)),flip(a)]. given #3154 (H,wt=20): 3224 L(x,y,z) * K(u,x) != w * L(x,y,z) | K(u,x) = w. [para(3145(a,2),25(a,1))]. given #3155 (H,wt=20): 3225 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(3146(a,1),24(a,1)),flip(a)]. given #3156 (H,wt=20): 3226 R(x,y,z) * K(u,x) != K(u,x) * w | R(x,y,z) = w. [para(3146(a,2),24(a,1))]. given #3157 (H,wt=20): 3244 x \ T(x,y) != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(3234(a,1),943(a,1))]. given #3158 (H,wt=20): 3288 (1 / x) * T((1 / x) \ 1,y) != z | T(x,y) / x = z. [para(3239(a,2),3235(a,1))]. given #3159 (H,wt=20): 3298 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3237(a,1),2708(a,1,2)),flip(a)]. given #3160 (H,wt=18): 3412 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(255,a,2720,a(flip),b,3298,a)]. given #3161 (H,wt=20): 3303 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(255,a,1861,a,b,3301,a(flip)),flip(a)]. given #3162 (H,wt=20): 3308 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(3193(a,1),3285(a,1,1))]. given #3163 (H,wt=20): 3327 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(3316(a,1),362(a,1,2,1))]. given #3164 (H,wt=20): 3328 K(x,y) * R(x,z,u) != w | R(x,z,u) * K(x,y) = w. [para(3316(a,1),363(a,1,2,1))]. given #3165 (H,wt=20): 3413 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(80,a,3412,a(flip),b,1083,a),flip(a)]. given #3166 (H,wt=17): 3416 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(3413(a,1),2241(a,1,2))]. given #3167 (H,wt=15): 3417 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(167(a,1),3416(a,1,2,2,1))]. given #3168 (H,wt=20): 3414 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(167(a,1),3412(a,2,1))]. given #3169 (H,wt=15): 3420 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3303(a,1),3414(a,1,1))]. given #3170 (H,wt=15): 3421 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(3420(a,1),70(a,1,2))]. given #3171 (H,wt=21): 3060 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(190(a,1),3043(a,1,2)),flip(a)]. given #3172 (H,wt=21): 3123 (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). [para(3116(a,1),2910(a,1,2))]. given #3173 (H,wt=21): 3149 R(T(x,y),z,u) * K(w,x) = K(w,x) * R(T(x,y),z,u). [para(3140(a,1),576(a,1,2,1,1)),flip(a)]. given #3174 (H,wt=21): 3184 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1624(a,1),3179(a,1,2))]. given #3175 (H,wt=21): 3189 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(3181(a,1),2915(a,1,1))]. given #3176 (H,wt=21): 3190 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3181(a,1),2963(a,2,2))]. given #3177 (H,wt=21): 3192 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [para(564(a,1),3070(a,2,1))]. given #3178 (H,wt=21): 3194 (x \ y) * K(x \ 1,(x \ 1) \ 1) = ((x \ 1) \ 1) \ y. [para(1451(a,2),3077(a,1,2))]. given #3179 (H,wt=21): 3197 K(x \ 1,x) * (T(x,y) \ z) = ((T(x,y) \ 1) \ 1) \ z. [para(3181(a,1),3078(a,1,1))]. given #3180 (H,wt=21): 3200 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1524(a,1),3083(a,1,2,1))]. given #3181 (H,wt=21): 3219 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(3181(a,1),3105(a,1,2,1))]. given #3182 (H,wt=21): 3254 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(3236(a,1),466(a,1,1,1))]. given #3183 (H,wt=21): 3304 x \ ((x * (T(y,x) \ y)) \ x) = ((T(y,x) \ y) * x) \ 1. [para(3301(a,1),2002(a,1,2,1))]. given #3184 (H,wt=21): 3318 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(255,a,2677,a,b,3315,a(flip)),flip(a)]. given #3185 (H,wt=21): 3344 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(3342(a,2),2791(a,1,2))]. given #3186 (H,wt=21): 3346 ((1 / x) * (y / (1 / x))) \ y = K(y / (x \ 1),x \ 1). [para(3086(a,2),108(a,1,1))]. given #3187 (H,wt=21): 3363 (x \ y) * K(x \ 1,x) = y * (((y \ (x \ y)) \ 1) \ 1). [hyper(255,a,3077,a,b,3284,a),flip(a)]. given #3188 (H,wt=19): 3433 K(((x \ y) \ y) \ 1,(x \ y) \ y) = K(x \ 1,x). [hyper(22,a,2511,a,b,3363,a),flip(a)]. given #3189 (H,wt=21): 3393 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(3343(a,1),1456(a,1,1))]. given #3190 (H,wt=16): 3435 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(255,a,2917,a(flip),b,3393,a(flip)),flip(a)]. given #3191 (H,wt=16): 3436 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(255,a,3408,a,b,3435,a)]. given #3192 (H,wt=16): 3438 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(3435(a,2),3371(a,1,2))]. given #3193 (H,wt=16): 3440 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [para(3436(a,2),73(a,1,1))]. given #3194 (H,wt=16): 3442 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [para(128(a,2),3436(a,2,2,1)),flip(a)]. given #3195 (H,wt=16): 3443 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(255,a,3280,a(flip),b,3438,a)]. given #3196 (H,wt=17): 3439 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(255,a,160,a,b,3436,a),flip(a)]. given #3197 (H,wt=17): 3444 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(163(a,2),3438(a,2,2)),flip(a)]. given #3198 (H,wt=18): 3446 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(73(a,1),3440(a,1,1,1))]. given #3199 (H,wt=14): 3448 R(x,1 / x,y) \ y = (x \ 1) * y. [para(73(a,1),3446(a,2,1,1))]. given #3200 (H,wt=14): 3449 R(x,1 / x,y) = y / ((x \ 1) * y). [para(3448(a,1),70(a,1,2)),flip(a)]. given #3201 (H,wt=13): 3450 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(255,a,160,a,b,3449,a)]. given #3202 (H,wt=20): 3447 (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). [hyper(255,a,1595,a,b,3444,a(flip)),flip(a)]. given #3203 (H,wt=21): 3399 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(3358(a,1),3084(a,1,2)),flip(a)]. given #3204 (H,wt=21): 3427 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2230(a,1),3189(a,2,2))]. given #3205 (H,wt=21): 3429 K(x \ 1,x) * (T(x,y) \ z) = T((x \ 1) \ 1,y) \ z. [para(2228(a,1),3197(a,2,1))]. given #3206 (H,wt=21): 3430 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(2230(a,1),3219(a,2,1))]. given #3207 (H,wt=21): 3431 x \ ((x * (T(y,x) \ y)) \ x) = (x * (T(y,x) \ y)) \ 1. [para(3301(a,1),3304(a,2,1))]. given #3208 (H,wt=17): 3458 (x * (T(y,x) \ y)) \ 1 = x \ (y \ T(y,x)). [para(3420(a,1),3431(a,1,2)),flip(a)]. given #3209 (H,wt=21): 3456 (T(x,y) \ z) * K(x \ 1,x) = T((x \ 1) \ 1,y) \ z. [hyper(2267,a,3429,a)]. given #3210 (H,wt=21): 3457 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(80,a,19,a(flip),b,3430,a),flip(a)]. given #3211 (H,wt=21): 3459 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2931,a,3457,a)]. given #3212 (H,wt=22): 3155 (x \ T(x,y)) * T(y,z) != u | T(y,z) * (x \ T(x,y)) = u. [para(3151(a,1),361(a,1,2,1))]. given #3213 (H,wt=22): 3165 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(3144(a,1),361(a,1,2,1))]. given #3214 (H,wt=22): 3178 x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x). [para(3154(a,1),1101(a,1,2,2))]. given #3215 (H,wt=22): 3228 (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). [hyper(2770,a,3174,a)]. given #3216 (H,wt=22): 3250 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3236(a,1),33(a,2,1)),flip(a)]. given #3217 (H,wt=21): 3464 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3250(a,1),1101(a,1,2)),flip(a)]. given #3218 (H,wt=21): 3465 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(19(a,1),3464(a,1,1)),flip(a)]. given #3219 (H,wt=22): 3252 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(3236(a,1),112(a,1,1))]. given #3220 (H,wt=22): 3253 R(x,y \ T(y,z),y) * T(y,z) = (x * (y \ T(y,z))) * y. [para(3236(a,1),122(a,1,2))]. given #3221 (H,wt=22): 3278 x / ((y * x) / y) != z * u | (((y * x) / y) \ x) / u = z. [para(3275(a,1),307(a,1,1))]. given #3222 (H,wt=22): 3415 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(3206(a,2),3308(a,1,1))]. given #3223 (H,wt=22): 3419 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. [hyper(81,a,3414,a(flip),b,3127,a),flip(a)]. given #3224 (H,wt=17): 3468 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. [para(3303(a,1),3419(a,1,2))]. given #3225 (H,wt=22): 3432 K(x / (y \ 1),y \ 1) != z | K(x / (1 / y),1 / y) = z. [para(3346(a,1),509(a,1))]. given #3226 (H,wt=22): 3451 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(3450(a,1),1496(a,1,1))]. given #3227 (H,wt=21): 3470 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(255,a,1496,a(flip),b,3451,a(flip))]. given #3228 (H,wt=22): 3463 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(3228(a,2),19(a,1,2))]. given #3229 (H,wt=22): 3471 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(255,a,350,a(flip),b,3470,a(flip))]. given #3230 (H,wt=23): 3158 K(x,y) * (y * z) != (y * K(x,y)) * u | L(z,y,K(x,y)) = u. [para(3141(a,1),422(a,1,1)),flip(a)]. given #3231 (H,wt=23): 3159 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(3141(a,1),454(a,2,2))]. given #3232 (H,wt=23): 3160 ((x * K(y,z)) * z) / (z * K(y,z)) != u | R(x,K(y,z),z) = u. [para(3141(a,1),466(a,1,2))]. given #3233 (H,wt=23): 3202 T((x \ 1) * y,K(z \ 1,z)) = (1 / x) * (y * K(x \ 1,x)). [hyper(255,a,2256,a,b,3084,a),flip(a)]. given #3234 (H,wt=23): 3221 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2789(a,1),3107(a,1,2))]. given #3235 (H,wt=23): 3247 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3234(a,1),2586(a,1,1,2))]. given #3236 (H,wt=23): 3281 (x \ T(x,x / (x * y))) * x != z | T(x,R(1 / y,y,x)) = z. [para(3249(a,1),3241(a,1,1,2))]. given #3237 (H,wt=23): 3286 K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). [para(2746(a,1),3216(a,1,2))]. given #3238 (H,wt=23): 3305 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3301(a,1),2162(a,1,1,2,1))]. given #3239 (H,wt=23): 3311 K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [hyper(255,a,1002,a(flip),b,3309,a(flip))]. given #3240 (H,wt=23): 3340 R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). [para(3338(a,1),183(a,1,2,1))]. given #3241 (H,wt=23): 3424 (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). [para(1111(a,1),3123(a,1,1))]. given #3242 (H,wt=17): 3480 T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). [hyper(23,a,3028,a,b,3424,a)]. given #3243 (H,wt=17): 3481 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(255,a,381,a(flip),b,3480,a(flip)),flip(a)]. given #3244 (H,wt=23): 3461 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3457(a,1),3109(a,1,2))]. given #3245 (H,wt=23): 3469 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. [para(3240(a,1),3468(a,2,1))]. given #3246 (H,wt=23): 3476 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3234(a,1),3247(a,2,2,1,2))]. given #3247 (H,wt=23): 3477 K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). [para(2979(a,1),3286(a,1,2))]. given #3248 (H,wt=17): 3483 (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). [hyper(255,a,3051,a(flip),b,3477,a(flip)),flip(a)]. given #3249 (H,wt=19): 3484 (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). [para(3483(a,1),1928(a,1,1))]. given #3250 (H,wt=23): 3478 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(255,a,3301,a(flip),b,3305,a)]. given #3251 (H,wt=19): 3486 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3420(a,1),3478(a,1,1,2))]. given #3252 (H,wt=15): 3487 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(22,a,3476,a(flip),b,3486,a(flip)),flip(a)]. given #3253 (H,wt=15): 3488 (x * (y \ T(y,x))) * (T(y,x) \ y) = x. [para(3487(a,1),19(a,1,2))]. given #3254 (H,wt=23): 3479 K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). [para(3370(a,1),3311(a,2,1,1))]. given #3255 (H,wt=24): 3163 R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). [para(3142(a,1),450(a,1,1,1))]. given #3256 (H,wt=24): 3243 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(3234(a,1),474(a,1,1))]. given #3257 (H,wt=24): 3389 T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(3203(a,1),3373(a,1,1,1))]. given #3258 (H,wt=22): 3491 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2948(a,1),3389(a,1,1))]. given #3259 (H,wt=24): 3426 (x * (y \ 1)) / x != (y \ 1) * z | y * ((x * (y \ 1)) / x) = z. [para(3184(a,1),24(a,1))]. given #3260 (H,wt=24): 3441 T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. [para(3436(a,2),129(a,1,1))]. given #3261 (H,wt=24): 3453 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [para(3439(a,2),3447(a,2,2)),flip(a)]. given #3262 (H,wt=24): 3454 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3399(a,1),2050(a,1,1)),flip(a)]. given #3263 (H,wt=22): 3494 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(3127(a,1),3454(a,1,1)),flip(a)]. given #3264 (H,wt=24): 3460 T(x,y) \ z != K(x \ 1,x) * u | T(1 / (1 / x),y) \ z = u. [para(3457(a,1),24(a,1))]. given #3265 (H,wt=24): 3466 L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u. [para(3464(a,2),24(a,1))]. given #3266 (H,wt=24): 3490 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(396(a,1),3243(a,2,1))]. given #3267 (H,wt=24): 3492 R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. [hyper(255,a,47,a,b,3441,a(flip)),flip(a)]. given #3268 (H,wt=20): 3495 R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(3066(a,1),3492(a,1,1))]. given #3269 (H,wt=17): 3496 T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. [hyper(255,a,1060,a(flip),b,3495,a(flip)),flip(a)]. given #3270 (H,wt=17): 3497 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). [para(128(a,2),3496(a,2,1,1)),flip(a)]. given #3271 (H,wt=24): 3493 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(1912(a,1),3453(a,2,1))]. given #3272 (H,wt=25): 3061 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(3043(a,1),268(a,1,1))]. given #3273 (H,wt=25): 3124 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(3116(a,1),3000(a,1,2))]. given #3274 (H,wt=21): 3499 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(3116(a,1),3124(a,1,2))]. given #3275 (H,wt=25): 3191 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(3181(a,1),3001(a,1,1))]. given #3276 (H,wt=21): 3503 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(73(a,1),3191(a,2,2))]. given #3277 (H,wt=23): 3506 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(3503(a,1),3109(a,1,2))]. given #3278 (H,wt=25): 3345 T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). [hyper(255,a,2256,a,b,3086,a),flip(a)]. given #3279 (H,wt=25): 3391 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1062(a,2),3290(a,1,1)),flip(a)]. given #3280 (H,wt=9): 3508 T(x,K(y,x) \ 1) = x. [para(3391(a,1),3300(a,1,2))]. given #3281 (H,wt=14): 3507 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3391(a,1),3283(a,1,3))]. given #3282 (H,wt=15): 3509 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3508(a,1),127(a,1,2))]. given #3283 (H,wt=24): 3510 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3509(a,1),162(a,2,1)),flip(a)]. given #3284 (H,wt=17): 3511 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(255,a,3507,a(flip),b,3510,a)]. given #3285 (H,wt=25): 3392 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1555(a,1),3290(a,1,1)),flip(a)]. given #3286 (H,wt=25): 3425 (R(T(x,y),z,u) * K(w,x)) * v5 = (K(w,x) * R(T(x,y),z,u)) * v5. [hyper(27,a,3149,a)]. given #3287 (H,wt=25): 3455 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(128(a,1),3427(a,1,2,2))]. given #3288 (H,wt=25): 3462 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1451(a,1),3459(a,1,2))]. given #3289 (H,wt=21): 3514 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(70(a,1),3462(a,2,1,1,2))]. given #3290 (H,wt=21): 3515 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2939,a,3514,a)]. given #3291 (H,wt=21): 3516 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(18(a,1),3515(a,1,2)),flip(a)]. given #3292 (H,wt=21): 3517 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [para(3516(a,1),19(a,1,2))]. given #3293 (H,wt=23): 3519 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(3090(a,1),3517(a,1,2)),flip(a)]. given #3294 (H,wt=23): 3520 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3519(a,1),1078(a,1,2))]. given #3295 (H,wt=25): 3474 T((x \ 1) * y,K(z \ 1,z)) = y * ((x \ 1) * (x * T(x \ 1,y))). [hyper(255,a,3015,a,b,3202,a)]. given #3296 (H,wt=25): 3475 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2507(a,1),3221(a,1,2))]. given #3297 (H,wt=26): 3062 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(3043(a,1),2969(a,1,1,1,1))]. given #3298 (H,wt=26): 3100 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(3051(a,1),484(a,1,1))]. given #3299 (H,wt=19): 3523 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2610(a,1),3100(a,1,2))]. given #3300 (H,wt=26): 3337 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(747,a,3319,a),flip(a)]. given #3301 (H,wt=26): 3482 (x * (y \ T(y,x))) \ (x * z) != x * u | (x * (y \ T(y,x))) \ z = u. [para(3476(a,2),24(a,1))]. given #3302 (H,wt=26): 3513 (K(x,y) * R(T(y,z),u,w)) * v5 != R(T(y,z),u,w) * K(x,y) | 1 = v5. [para(3425(a,1),84(a,1))]. given #3303 (H,wt=27): 3108 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(263(a,1),3063(a,1,2))]. given #3304 (H,wt=27): 3418 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(954(a,1),3417(a,1,2,2,2))]. given #3305 (H,wt=13): 3527 T(x,x \ K(y,x)) = T(x,x \ 1). [para(3318(a,1),3418(a,1,2,2))]. given #3306 (H,wt=15): 3528 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(3527(a,1),199(a,1,2))]. given #3307 (H,wt=17): 3529 K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. [para(3528(a,1),2868(a,1,1)),flip(a)]. given #3308 (H,wt=17): 3530 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(3528(a,1),2909(a,1,1))]. given #3309 (H,wt=17): 3531 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(3530(a,1),2597(a,1,2)),flip(a)]. given #3310 (H,wt=17): 3532 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(3531(a,1),3410(a,1,2))]. given #3311 (H,wt=25): 3533 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(80,a,3532,a(flip),b,1079,a),flip(a)]. given #3312 (H,wt=25): 3534 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(1081(a,1),3533(a,1,2))]. given #3313 (H,wt=27): 3498 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. [para(3493(a,2),3322(a,1))]. given #3314 (H,wt=27): 3502 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(3499(a,1),3192(a,1,2))]. given #3315 (H,wt=23): 3535 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(73(a,1),3502(a,1,2,1,1,1))]. given #3316 (H,wt=21): 3536 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(22,a,3047,a,b,3535,a),flip(a)]. given #3317 (H,wt=23): 3537 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(81,a,3520,a(flip),b,3535,a(flip))]. given #3318 (H,wt=23): 3538 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3536(a,1),3109(a,1,2))]. given #3319 (H,wt=27): 3521 x \ T((y \ 1) * (x / (y \ 1)),K(z \ 1,z)) = K(1 / y,x / (y \ 1)). [para(3474(a,2),2851(a,1,2))]. given #3320 (H,wt=21): 3539 x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). [para(3345(a,1),3521(a,1,2))]. given #3321 (H,wt=28): 3209 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(3096(a,1),143(a,1,1,2))]. given #3322 (H,wt=28): 3396 (x / (x * y)) * z != (x / (x * y)) * y | T(1 / (1 / y),x / (x * y)) = z. [para(3355(a,1),173(a,2))]. given #3323 (H,wt=28): 3437 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(122(a,1),3435(a,2,1,1,2))]. given #3324 (H,wt=28): 3526 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(127(a,2),3337(a,2,1,1,1))]. given #3325 (H,wt=29): 3207 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1334(a,1),3094(a,1,2)),flip(a)]. given #3326 (H,wt=29): 3212 L(x,T(y,y \ z) \ 1,T(y,y \ z)) = L(x,1 / T(y,y \ z),(y \ z) \ z). [hyper(255,a,1978,a(flip),b,3211,a(flip))]. given #3327 (H,wt=29): 3214 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,1 / T(y,y \ z),(y \ z) \ z). [para(601(a,2),3211(a,1,2)),flip(a)]. given #3328 (H,wt=29): 3356 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(263(a,1),3222(a,1,1)),flip(a)]. given #3329 (H,wt=29): 3434 K(x \ 1,x) * (y * T((x \ z) \ z,u)) = y * (1 / (1 / T((x \ z) \ z,u))). [para(3433(a,1),3189(a,1,1))]. given #3330 (H,wt=25): 3542 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * (1 / (T(x,z) \ 1)). [para(2225(a,1),3434(a,2,2,2))]. given #3331 (H,wt=21): 3543 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [para(70(a,1),3542(a,2,2))]. given #3332 (H,wt=29): 3485 (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(107(a,2),3484(a,1,1,2))]. given #3333 (H,wt=27): 3545 (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(3539(a,1),3485(a,1,1,2))]. given #3334 (H,wt=19): 3546 K(x \ 1,y / (1 / x)) = K(x \ 1,y / (x \ 1)). [hyper(255,a,3484,a(flip),b,3545,a(flip))]. given #3335 (H,wt=19): 3547 K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). [para(20(a,1),3546(a,1,2)),flip(a)]. given #3336 (H,wt=19): 3548 K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). [para(1369(a,1),3547(a,1,2))]. given #3337 (H,wt=17): 3549 K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). [para(2942(a,1),3548(a,1,2))]. given #3338 (H,wt=19): 3550 K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). [para(3069(a,1),3549(a,1,2))]. given #3339 (H,wt=29): 3518 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2014(a,2),3517(a,1,2))]. given #3340 (H,wt=27): 3551 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(3200(a,1),3518(a,1,2))]. given #3341 (H,wt=29): 3522 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1451(a,1),3475(a,1,2))]. given #3342 (H,wt=25): 3553 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2841(a,1),3522(a,2,1))]. given #3343 (H,wt=29): 3552 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(128(a,2),3551(a,1,2,1))]. given #3344 (H,wt=30): 3349 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3132(a,1),2817(a,1,1,2)),flip(a)]. given #3345 (H,wt=29): 3555 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(255,a,3494,a(flip),b,3349,a)]. given #3346 (H,wt=21): 3556 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(3132(a,1),3555(a,1,1))]. given #3347 (H,wt=30): 3452 x * ((x * (((x * y) * (x \ 1)) / (x * y))) * y) = T(x * y,R(x \ 1,x,x * y)). [hyper(255,a,2355,a(flip),b,3447,a(flip)),flip(a)]. given #3348 (H,wt=24): 3557 T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). [para(1970(a,1),3452(a,1,2)),flip(a)]. given #3349 (H,wt=30): 3554 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3553(a,1),2893(a,1,1))]. given #3350 (H,wt=24): 3558 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(924(a,1),3554(a,2,1,2))]. given #3351 (H,wt=31): 3110 (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). [para(3067(a,1),598(a,1,1))]. given #3352 (H,wt=21): 3559 K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). [para(2876(a,1),3110(a,1,2)),flip(a)]. given #3353 (H,wt=17): 3560 K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x). [hyper(255,a,31,a,b,3559,a)]. given #3354 (H,wt=17): 3561 K(K(x,x \ 1) * y,x) = K(y,(x \ 1) \ 1). [para(2918(a,1),3560(a,1,1)),flip(a)]. given #3355 (H,wt=19): 3562 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x). [para(3078(a,1),3560(a,1,1))]. given #3356 (H,wt=31): 3180 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(787(a,1),3167(a,1,1)),flip(a)]. given #3357 (H,wt=27): 3563 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(787(a,1),3180(a,1,2)),flip(a)]. given #3358 (H,wt=24): 3564 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(255,a,1993,a(flip),b,3563,a(flip))]. given #3359 (H,wt=31): 3210 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3096(a,1),431(a,1,2,2))]. given #3360 (H,wt=32): 3099 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(3051(a,1),35(a,2,2)),flip(a)]. given #3361 (H,wt=32): 3199 L(x,((y \ 1) \ 1) \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(383(a,1),3082(a,1,2)),flip(a)]. given #3362 (H,wt=28): 3565 L(x,y \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(3213(a,1),3199(a,1,1))]. given #3363 (H,wt=24): 3566 L(x,y \ 1,y) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(3055(a,1),3565(a,1,1))]. given #3364 (H,wt=22): 3567 ((x \ 1) \ 1) \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. [hyper(3198,a,3566,a)]. given #3365 (H,wt=32): 3296 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3293(a,1),1015(a,1,1,2))]. given #3366 (H,wt=32): 3467 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(255,a,2324,a,b,3252,a(flip)),flip(a)]. given #3367 (H,wt=28): 3569 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3465(a,1),3467(a,1,1))]. given #3368 (H,wt=26): 3570 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(255,a,186,a(flip),b,3569,a(flip)),flip(a)]. given #3369 (H,wt=22): 3571 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(18(a,1),3570(a,1,1)),flip(a)]. given #3370 (H,wt=15): 3572 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(80,a,3306,a(flip),b,3571,a)]. given #3371 (H,wt=20): 3573 (x \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x). [para(1100(a,1),3571(a,1,2))]. given #3372 (H,wt=20): 3577 T(x,T(y,x)) * (y \ T(y,x)) = L(x,y \ T(y,x),y). [hyper(3155,a,3573,a)]. given #3373 (H,wt=22): 3574 L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). [para(3125(a,1),3571(a,1,2)),flip(a)]. given #3374 (H,wt=14): 3578 L(1 / x,x \ T(x,y),x) = 1 / x. [hyper(255,a,3246,a(flip),b,3574,a)]. given #3375 (H,wt=22): 3576 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3237(a,1),3572(a,1,1)),flip(a)]. given #3376 (H,wt=19): 3581 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3412(a,1),3576(a,1,2)),flip(a)]. given #3377 (H,wt=21): 3582 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(167(a,1),3581(a,1,1,2)),flip(a)]. given #3378 (H,wt=15): 3583 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(167(a,1),3582(a,1,2,1)),flip(a)]. given #3379 (H,wt=15): 3584 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(3583(a,1),19(a,1,2))]. given #3380 (H,wt=24): 3575 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1923(a,1),3572(a,1,1,2)),flip(a)]. given #3381 (H,wt=20): 3585 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(18(a,1),3575(a,2,1))]. given #3382 (H,wt=13): 3587 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2722(a,1),3585(a,1,2))]. given #3383 (H,wt=31): 3580 x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). [para(3578(a,1),565(a,2,1))]. given #3384 (H,wt=27): 3588 x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). [para(19(a,1),3580(a,1,2,2,2))]. given #3385 (H,wt=23): 3590 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). [para(3260(a,1),3588(a,1,2,2)),flip(a)]. given #3386 (H,wt=23): 3591 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). [para(1240(a,1),3590(a,2,2))]. given #3387 (H,wt=22): 3593 (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). [hyper(255,a,190,a(flip),b,3591,a)]. given #3388 (H,wt=18): 3594 L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). [hyper(310,a,3593,a),flip(a)]. given #3389 (H,wt=16): 3596 L(x \ T(x,y),x \ 1,x) = x \ T(x,y). [hyper(255,a,3238,a(flip),b,3594,a)]. given #3390 (H,wt=25): 3597 L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). [para(1923(a,1),3596(a,1,1,2))]. given #3391 (H,wt=21): 3598 x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). [para(18(a,1),3597(a,1,1)),flip(a)]. given #3392 (H,wt=16): 3600 L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). [para(1923(a,1),3598(a,1,2)),flip(a)]. given #3393 (H,wt=12): 3601 L(K(x,y),x \ 1,x) = K(x,y). [hyper(255,a,18,a(flip),b,3600,a)]. given #3394 (H,wt=13): 3604 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(80,a,3601,a(flip),b,190,a),flip(a)]. given #3395 (H,wt=13): 3605 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(1286,a,3604,a)]. given #3396 (H,wt=13): 3606 K(x,y) \ (x \ K(x,y)) = x \ 1. [hyper(80,a,3604,a(flip),b,1285,a)]. given #3397 (H,wt=16): 3607 x \ K(x,y) != z * K(x,y) | x \ 1 = z. [para(3604(a,1),25(a,1))]. given #3398 (H,wt=16): 3608 K(x,y) \ (x \ K(x,y)) != z | x \ 1 = z. [para(3605(a,1),222(a,1,2)),flip(b)]. given #3399 (H,wt=19): 3602 L(K(x,y),x \ 1,x) != z * u | z \ K(x,y) = u. [para(3600(a,2),309(a,1))]. given #3400 (H,wt=20): 3609 K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z. [para(3605(a,1),416(a,1,2))]. given #3401 (H,wt=27): 3610 K(x,y) * ((x \ 1) * z) != (x \ K(x,y)) * u | L(z,x \ 1,K(x,y)) = u. [para(3605(a,1),422(a,1,1)),flip(a)]. given #3402 (H,wt=32): 3472 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). [para(3463(a,1),1382(a,1,1)),flip(a)]. given #3403 (H,wt=30): 3611 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(255,a,1930,a(flip),b,3472,a)]. given #3404 (H,wt=30): 3612 T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(255,a,3280,a,b,3611,a(flip)),flip(a)]. given #3405 (H,wt=30): 3613 R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(255,a,47,a,b,3612,a(flip)),flip(a)]. given #3406 (H,wt=22): 3614 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(2382(a,1),3613(a,1,1)),flip(a)]. given #3407 (H,wt=22): 3615 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(80,a,1069,a,b,3614,a)]. given #3408 (H,wt=18): 3617 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(255,a,1277,a(flip),b,3615,a(flip)),flip(a)]. given #3409 (H,wt=23): 3619 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(255,a,3463,a,b,3617,a),flip(a)]. given #3410 (H,wt=23): 3620 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(2005(a,2),3619(a,1,2))]. given #3411 (H,wt=24): 3618 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(3615(a,1),2724(a,1,1)),flip(a)]. given #3412 (H,wt=24): 3621 K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. [para(3618(a,1),2685(a,1))]. given #3413 (H,wt=32): 3473 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(3471(a,2),107(a,1,2,2))]. given #3414 (H,wt=33): 3277 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1159(a,1),3266(a,1,1,1,1))]. given #3415 (H,wt=31): 3622 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1159(a,1),3277(a,2,1))]. given #3416 (H,wt=34): 3357 L(x,y,z) * (T(x,u) * T(T(x,u) \ 1,L(x,y,z))) = T(x,u) * ((T(x,u) \ 1) * L(x,y,z)). [para(2681(a,1),3227(a,1,2,1)),flip(a)]. given #3417 (H,wt=33): 3623 L(x,y,z) * (T(x,u) * T(T(x,u) \ 1,L(x,y,z))) = L(L(x,y,z),T(x,u) \ 1,T(x,u)). [hyper(255,a,190,a(flip),b,3357,a)]. given #3418 (H,wt=31): 3624 L(L(x,y,z),T(x,u) \ 1,T(x,u)) = L(x,y,z) * T(x * T(x \ 1,L(x,y,z)),u). [para(1649(a,1),3623(a,1,2)),flip(a)]. given #3419 (H,wt=26): 3625 L(x,y,z) * T(x * T(x \ 1,L(x,y,z)),u) = L(1 / (1 / x),y,z). [hyper(255,a,2301,a(flip),b,3624,a(flip))]. given #3420 (H,wt=22): 3627 L(x,y,z) * K(x \ 1,L(x,y,z)) = L(1 / (1 / x),y,z). [para(1224(a,1),3625(a,1,2))]. given #3421 (H,wt=19): 3629 x * T(x \ 1,L(x,y,z)) = K(x \ 1,L(x,y,z)). [hyper(22,a,2997,a,b,3627,a),flip(a)]. given #3422 (H,wt=26): 3630 L(K(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u. [para(3629(a,1),2659(a,1,1))]. given #3423 (H,wt=34): 3361 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3271(a,1),599(a,1,1))]. given #3424 (H,wt=30): 3631 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3538(a,1),3361(a,1,2))]. given #3425 (H,wt=24): 3632 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3631(a,1),431(a,1))]. given #3426 (H,wt=34): 3366 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(149(a,1),3284(a,1,2,1,1,2))]. given #3427 (H,wt=35): 3540 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(3437(a,1),470(a,1,1))]. given #3428 (H,wt=35): 3633 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2311,a,3540,a)]. given #3429 (H,wt=37): 3076 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(3075(a,1),2670(a,1,1)),flip(a)]. given #3430 (H,wt=30): 3634 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(3075(a,1),3076(a,2,2,1,1))]. given #3431 (H,wt=24): 3635 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(255,a,3239,a(flip),b,3634,a)]. given #3432 (H,wt=18): 3637 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3239(a,1),3635(a,1,1))]. given #3433 (H,wt=25): 3638 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3637(a,1),3296(a,1,1))]. given #3434 (H,wt=23): 3639 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3293(a,1),3638(a,2,1))]. given #3435 (H,wt=23): 3641 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3639(a,1),19(a,1,2))]. given #3436 (H,wt=23): 3643 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(255,a,2281,a(flip),b,3641,a(flip)),flip(a)]. given #3437 (H,wt=37): 3101 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(3051(a,1),424(a,1,1))]. given #3438 (H,wt=31): 3644 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(3051(a,1),3101(a,1,2)),flip(a)]. given #3439 (H,wt=27): 3645 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3644(a,2),431(a,1))]. given #3440 (H,wt=38): 3297 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(3056(a,1),3275(a,1,1,1,1))]. given #3441 (H,wt=34): 3646 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(20(a,1),3297(a,1,1,1))]. given #3442 (H,wt=37): 3648 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3646(a,1),25(a,1)),flip(a)]. given #3443 (H,wt=39): 2170 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). [para(1727(a,1),2168(a,1,2,1,1)),flip(a)]. given #3444 (H,wt=32): 3649 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1727(a,1),2170(a,2,1))]. given #3445 (H,wt=26): 3650 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(255,a,1158,a(flip),b,3649,a)]. given #3446 (H,wt=20): 3652 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1158(a,1),3650(a,1,1))]. given #3447 (H,wt=20): 3653 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(40,a,3652,a)]. given #3448 (H,wt=39): 2642 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * (1 / (1 / K(x,(x / (y \ 1)) / x)))) / ((x * y) / x). [para(1911(a,2),2640(a,1,1,2,2,2)),flip(a)]. given #3449 (H,wt=35): 3654 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * K(x,(x / (y \ 1)) / x)) / ((x * y) / x). [para(2535(a,1),2642(a,2,1,2))]. given #3450 (H,wt=29): 3655 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = ((x * y) / x) / ((x * y) / x). [para(1918(a,1),3654(a,2,1))]. given #3451 (H,wt=19): 3656 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = 1. [hyper(255,a,67,a(flip),b,3655,a)]. given #3452 (H,wt=17): 3657 K(((x * y) / x) \ y,y \ ((x * y) / x)) = 1. [hyper(2641,a,3656,a)]. given #3453 (H,wt=19): 3659 1 / (((x * y) / x) \ y) = (((x * y) / x) \ y) \ 1. [hyper(80,a,3657,a(flip),b,2516,a),flip(a)]. given #3454 (H,wt=19): 3660 ((((x * y) / x) \ y) \ 1) \ 1 = ((x * y) / x) \ y. [para(3659(a,1),73(a,1,1))]. given #3455 (H,wt=17): 3661 (x \ ((y * x) / y)) \ 1 = ((y * x) / y) \ x. [para(2719(a,1),3660(a,1,1))]. given #3456 (H,wt=31): 3662 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (y \ (y * (x * T(x \ 1,y)))) \ 1. [para(2144(a,1),3661(a,1,1,2)),flip(a)]. given #3457 (H,wt=27): 3663 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (x * T(x \ 1,y)) \ 1. [para(18(a,1),3662(a,2,1))]. given #3458 (H,wt=27): 3664 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = x \ (T(1 / x,y) \ 1). [hyper(255,a,2717,a(flip),b,3663,a)]. given #3459 (H,wt=19): 3667 K(x \ (y \ (T(1 / y,x) \ 1)),x) = K(x \ 1,x). [para(3664(a,1),3005(a,1,1,2))]. given #3460 (H,wt=19): 3668 K(x \ ((y \ 1) \ (T(y,x) \ 1)),x) = K(x \ 1,x). [para(70(a,1),3667(a,1,1,2,2,1,1))]. given #3461 (H,wt=15): 3669 K(x \ (T(y,x) \ y),x) = K(x \ 1,x). [para(2705(a,1),3668(a,1,1,2))]. given #3462 (H,wt=21): 3666 (x * (y * T(y \ 1,x))) \ x = y \ (T(1 / y,x) \ 1). [para(2144(a,1),3664(a,1,1))]. given #3463 (H,wt=23): 3670 (x * (y * T(y \ 1,x))) \ 1 = x \ (y \ (T(1 / y,x) \ 1)). [para(3666(a,1),2565(a,1,2)),flip(a)]. given #3464 (H,wt=27): 3671 x \ (((x * y) \ x) \ (T(1 / ((x * y) \ x),x) \ 1)) = (x * K(y,x)) \ 1. [para(953(a,2),3670(a,1,1,2)),flip(a)]. given #3465 (H,wt=25): 3672 x \ (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = (x * K(y,x)) \ 1. [para(2718(a,1),3671(a,1,2))]. given #3466 (H,wt=21): 3673 x \ (((x * y) \ (x * T(y,x))) \ 1) = (x * K(y,x)) \ 1. [para(18(a,1),3672(a,1,2,1,2,2,1))]. given #3467 (H,wt=19): 3674 x \ (((x * y) \ (y * x)) \ 1) = (x * K(y,x)) \ 1. [para(127(a,1),3673(a,1,2,1,2))]. given #3468 (H,wt=15): 3675 (x * K(y,x)) \ 1 = x \ (K(y,x) \ 1). [para(31(a,2),3674(a,1,2,1)),flip(a)]. given #3469 (H,wt=39): 3422 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(954(a,1),3421(a,1,2,2))]. given #3470 (H,wt=25): 3676 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3318(a,1),3422(a,1,2)),flip(a)]. given #3471 (H,wt=23): 3678 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(3392(a,1),3676(a,1,2))]. given #3472 (H,wt=19): 3679 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(18(a,1),3678(a,1,2,1,2,2,1))]. given #3473 (H,wt=17): 3680 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(127(a,1),3679(a,1,2,1,2))]. given #3474 (H,wt=13): 3681 x * (K(y,x) \ 1) = x / K(y,x). [para(31(a,2),3680(a,1,2,1))]. given #3475 (H,wt=13): 3682 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(255,a,3353,a(flip),b,3681,a)]. given #3476 (H,wt=13): 3683 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(80,a,3353,a(flip),b,3681,a)]. given #3477 (H,wt=13): 3684 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(80,a,3682,a(flip),b,3509,a)]. given #3478 (H,wt=15): 3687 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3682(a,1),3511(a,1,1))]. given #3479 (H,wt=15): 3690 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3687(a,1),19(a,1,2))]. given #3480 (H,wt=16): 3685 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3682(a,1),24(a,1))]. given #3481 (H,wt=17): 3689 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3684(a,1),925(a,1,2,1))]. given #3482 (H,wt=20): 3688 x * (K(y,x) \ 1) != z * u | z \ (K(y,x) \ x) = u. [para(3683(a,1),368(a,1,2))]. given #3483 (H,wt=18): 3693 x / K(y,x) != z * u | z \ (K(y,x) \ x) = u. [para(3681(a,1),3688(a,1))]. given #3484 (H,wt=21): 3692 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(255,a,274,a(flip),b,3689,a(flip))]. given #3485 (H,wt=21): 3694 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(255,a,381,a(flip),b,3692,a(flip))]. given #3486 (H,wt=22): 3691 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3690(a,1),2879(a,1,1)),flip(a)]. given #3487 (H,wt=20): 3695 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(255,a,3694,a(flip),b,3691,a)]. given #3488 (H,wt=25): 3677 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(255,a,3353,a(flip),b,3676,a)]. given #3489 (H,wt=25): 3698 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(3677(a,1),3469(a,1,2)),flip(a)]. given #3490 (H,wt=13): 3699 1 / (K(x,y) \ y) = K(x,y) / y. [para(953(a,2),3698(a,1,1)),flip(a)]. given #3491 (H,wt=13): 3700 (K(x,y) / y) \ 1 = K(x,y) \ y. [para(3699(a,1),73(a,1,1))]. given #3492 (H,wt=27): 3686 x * (T(L(y \ 1,y,x) \ 1,x) \ (L(y \ 1,y,x) \ 1)) = K(y,x) \ x. [para(3391(a,2),3682(a,1,2))]. given #3493 (H,wt=27): 3696 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3695(a,1),2731(a,1,2,2))]. given #3494 (H,wt=19): 3701 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(533,a,3696,a),flip(a)]. given #3495 (H,wt=11): 3702 K(x,(y \ 1) \ 1) = K(x,y). [hyper(255,a,598,a(flip),b,3701,a),flip(a)]. given #3496 (H,wt=11): 3707 K(x,1 / y) = K(x,y \ 1). [para(73(a,1),3702(a,1,2,1)),flip(a)]. given #3497 (H,wt=11): 3708 K(x,1 / (1 / y)) = K(x,y). [para(150(a,1),3702(a,1,2)),flip(a)]. given #3498 (H,wt=11): 3709 K(x,T(y,1 / y)) = K(x,y). [para(1256(a,2),3702(a,1,2))]. given #3499 (H,wt=13): 3705 K(K(x,x \ 1) * y,x) = K(y,x). [hyper(255,a,3561,a,b,3702,a(flip)),flip(a)]. given #3500 (H,wt=14): 3704 K(x,y) != z | K(x,(y \ 1) \ 1) = z. [para(3701(a,2),600(a,1))]. given #3501 (H,wt=15): 3706 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [hyper(255,a,3562,a(flip),b,3702,a(flip))]. given #3502 (H,wt=15): 3710 K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). [para(2229(a,1),3702(a,1,2)),flip(a)]. given #3503 (H,wt=15): 3711 K(x,T(y / z,y \ z)) = K(x,y / z). [para(2528(a,2),3702(a,1,2))]. given #3504 (H,wt=17): 3718 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(3707(a,1),2573(a,2,1))]. given #3505 (H,wt=17): 3719 (x \ 1) * K(y,x \ 1) = x \ K(y,1 / x). [para(3707(a,2),3174(a,2,2))]. given #3506 (H,wt=17): 3722 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2592(a,2),3705(a,1,1))]. given #3507 (H,wt=19): 3713 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(3400(a,1),3702(a,1,2)),flip(a)]. given #3508 (H,wt=19): 3723 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(3201(a,1),3706(a,1,1))]. given #3509 (H,wt=19): 3724 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(3096(a,1),3722(a,1,1,1))]. given #3510 (H,wt=21): 3712 ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). [para(3702(a,1),3174(a,2,2))]. given #3511 (H,wt=22): 3720 K(x / (y \ 1),1 / y) != z | K(x / (1 / y),1 / y) = z. [para(3707(a,2),3432(a,1))]. given #3512 (H,wt=23): 3726 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(255,a,963,a,b,3723,a(flip)),flip(a)]. given #3513 (H,wt=27): 3697 x \ ((((x * y) \ x) \ 1) \ T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3677(a,1),3458(a,1,1)),flip(a)]. given #3514 (H,wt=25): 3727 x \ (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3240(a,1),3697(a,1,2))]. given #3515 (H,wt=13): 3728 (K(x,y) \ y) \ 1 = y \ K(x,y). [para(953(a,2),3727(a,1,2)),flip(a)]. given #3516 (H,wt=13): 3729 1 / (x \ K(y,x)) = K(y,x) \ x. [para(3728(a,1),70(a,1,2))]. given #3517 (H,wt=32): 3725 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(255,a,3473,a,b,3713,a(flip)),flip(a)]. given #3518 (H,wt=39): 3423 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3060(a,2),2324(a,1,1))]. given #3519 (H,wt=32): 3730 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3415(a,1),3423(a,1,1))]. given #3520 (H,wt=39): 3524 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3523(a,1),1647(a,2,2,1,2)),flip(a)]. given #3521 (H,wt=33): 3731 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3239(a,1),3524(a,2,1))]. given #3522 (H,wt=40): 1394 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(112(a,1),821(a,1,1))]. given #3523 (H,wt=37): 3732 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(112(a,1),1394(a,1,2,1,1))]. given #3524 (H,wt=33): 3733 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1391,a,3732,a),flip(a)]. given #3525 (H,wt=31): 3734 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(821(a,1),3733(a,2,2))]. given #3526 (H,wt=26): 3735 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(422,a,3734,a),flip(a)]. given #3527 (H,wt=32): 3736 L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [hyper(255,a,1155,a(flip),b,3735,a(flip))]. given #3528 (H,wt=29): 3737 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1732(a,1),3736(a,1,1,2)),flip(a)]. given #3529 (H,wt=27): 3738 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(255,a,2655,a(flip),b,3737,a)]. given #3530 (H,wt=17): 3739 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(23,a,189,a(flip),b,3738,a)]. given #3531 (H,wt=21): 3740 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(73(a,1),3739(a,1,1))]. given #3532 (H,wt=19): 3741 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(1020(a,1),3740(a,1,2))]. given #3533 (H,wt=19): 3742 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(3741(a,1),21(a,1,1))]. given #3534 (H,wt=19): 3743 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2765,a,3742,a)]. given #3535 (H,wt=21): 3744 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1868(a,1),3743(a,1,1)),flip(a)]. given #3536 (H,wt=40): 2416 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(301(a,2),2413(a,2,1,2,1)),flip(a)]. given #3537 (H,wt=36): 3745 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(255,a,2413,a(flip),b,2416,a)]. given #3538 (H,wt=40): 3388 (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(3386(a,2),499(a,2,1))]. given #3539 (H,wt=38): 3746 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1242(a,1),3388(a,1,1))]. given #3540 (H,wt=36): 3747 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1242(a,1),3746(a,1,2,3))]. given #3541 (H,wt=30): 3748 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2983(a,1),3747(a,1,2)),flip(a)]. given #3542 (H,wt=28): 3750 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(3386(a,1),3748(a,1,1))]. given #3543 (H,wt=26): 3751 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(1242(a,1),3750(a,1,2))]. given #3544 (H,wt=24): 3752 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(255,a,3378,a(flip),b,3751,a(flip))]. given #3545 (H,wt=23): 3753 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(255,a,3491,a(flip),b,3752,a)]. given #3546 (H,wt=23): 3754 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(255,a,2812,a(flip),b,3753,a)]. given #3547 (H,wt=30): 3749 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(2302(a,1),3748(a,1,1)),flip(a)]. given #3548 (H,wt=28): 3755 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(255,a,3754,a(flip),b,3749,a(flip)),flip(a)]. given #3549 (H,wt=26): 3756 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(1242(a,1),3755(a,2,2))]. given #3550 (H,wt=24): 3757 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(255,a,3378,a(flip),b,3756,a)]. given #3551 (H,wt=20): 3758 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(255,a,3350,a(flip),b,3757,a)]. given #3552 (H,wt=16): 3759 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(2705(a,1),3758(a,1,1))]. given #3553 (H,wt=16): 3760 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(255,a,3556,a(flip),b,3759,a(flip)),flip(a)]. given #3554 (H,wt=23): 3761 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(3760(a,1),841(a,1,1))]. given #3555 (H,wt=20): 3762 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(255,a,443,a(flip),b,3761,a(flip))]. given #3556 (H,wt=16): 3763 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(255,a,31,a,b,3762,a),flip(a)]. given #3557 (H,wt=12): 3764 L(K(x,y),y \ 1,y) = K(x,y). [para(31(a,2),3763(a,2,1)),flip(a)]. given #3558 (H,wt=13): 3765 (x \ 1) * K(y,x) = x \ K(y,x). [hyper(80,a,3764,a(flip),b,190,a),flip(a)]. given #3559 (H,wt=24): 3766 ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(3765(a,1),35(a,2,2)),flip(a)]. given #3560 (H,wt=40): 3489 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). [para(3163(a,2),957(a,1,1,2))]. given #3561 (H,wt=40): 3541 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(255,a,385,a,b,3356,a),flip(a)]. given #3562 (H,wt=36): 3767 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(73(a,1),3541(a,1,1,3))]. given #3563 (H,wt=36): 3768 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2812(a,1),3767(a,1,1))]. given #3564 (H,wt=41): 2672 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1162(a,1),2668(a,2,1,2))]. given #3565 (H,wt=39): 3769 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1242(a,1),2672(a,1,1,2,1))]. given #3566 (H,wt=32): 3770 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1710(a,1),3769(a,1,1,2)),flip(a)]. given #3567 (H,wt=30): 3772 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3385(a,1),3770(a,2,1))]. given #3568 (H,wt=22): 3773 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(169(a,1),3772(a,2,1))]. given #3569 (H,wt=19): 3774 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(255,a,328,a(flip),b,3773,a)]. given #3570 (H,wt=23): 3777 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3774(a,1),263(a,1,2)),flip(a)]. given #3571 (H,wt=21): 3778 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. [hyper(255,a,17,a(flip),b,3777,a)]. given #3572 (H,wt=24): 3779 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(3778(a,1),304(a,1,1)),flip(b)]. given #3573 (H,wt=42): 1855 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(112(a,1),1053(a,1,1))]. given #3574 (H,wt=39): 3780 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(112(a,1),1855(a,1,2,1,2,1))]. given #3575 (H,wt=35): 3781 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(255,a,1331,a(flip),b,3780,a(flip))]. given #3576 (H,wt=33): 3782 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1053(a,1),3781(a,2,2))]. given #3577 (H,wt=28): 3783 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(422,a,3782,a),flip(a)]. given #3578 (H,wt=30): 3784 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(19(a,1),3783(a,1,2,1)),flip(a)]. given #3579 (H,wt=30): 3785 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(255,a,1448,a,b,3784,a)]. given #3580 (H,wt=23): 3786 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1914(a,1),3785(a,1,1))]. given #3581 (H,wt=42): 1857 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(122(a,1),1059(a,1,2))]. given #3582 (H,wt=39): 3787 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(122(a,1),1857(a,1,1,1,2,2)),flip(a)]. given #3583 (H,wt=39): 3788 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(255,a,789,a(flip),b,3787,a)]. given #3584 (H,wt=35): 3789 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(255,a,2409,a(flip),b,3788,a)]. given #3585 (H,wt=35): 3790 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(789(a,1),3789(a,1,1))]. given #3586 (H,wt=33): 3791 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1903(a,1),3790(a,2,1))]. given #3587 (H,wt=28): 3792 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(23,a,122,a,b,3791,a)]. given #3588 (H,wt=23): 3793 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1910,a,3792,a),flip(a)]. given #3589 (H,wt=21): 3795 R(K(x,(x / y) / x),z,u) = K(x,(x / R(y,z,u)) / x). [para(1909(a,2),3793(a,1,1))]. given #3590 (H,wt=30): 3794 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(19(a,1),3792(a,1,2,1)),flip(a)]. given #3591 (H,wt=30): 3796 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(255,a,1448,a,b,3794,a)]. given #3592 (H,wt=28): 3797 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1159(a,1),3796(a,1,1,2,1))]. given #3593 (H,wt=23): 3798 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3463(a,1),3797(a,1,1))]. given #3594 (H,wt=42): 1879 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(35(a,2),1878(a,1,1)),flip(a)]. given #3595 (H,wt=37): 3799 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(35(a,2),1879(a,2,2,1,1))]. given #3596 (H,wt=33): 3800 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1902(a,1),3799(a,1,1))]. given #3597 (H,wt=31): 3801 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1639(a,1),3800(a,1,1,1))]. given #3598 (H,wt=26): 3802 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(466,a,3801,a),flip(a)]. given #3599 (H,wt=29): 3803 R(x,y,z) * R(R(x,y,z) \ 1,u,w) != v5 | R(x * R(x \ 1,u,w),y,z) = v5. [para(3801(a,1),466(a,1))]. given #3600 (H,wt=29): 3805 R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). [para(592(a,1),3802(a,2,1,2))]. given #3601 (H,wt=24): 3806 R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). [hyper(1188,a,3805,a),flip(a)]. given #3602 (H,wt=22): 3807 a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z). [para(16(a,1),3806(a,1,1,2,1)),flip(a)]. given #3603 (H,wt=32): 3804 R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [hyper(255,a,1164,a(flip),b,3802,a(flip))]. given #3604 (H,wt=29): 3808 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1713(a,1),3804(a,1,1,2)),flip(a)]. given #3605 (H,wt=17): 3809 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(23,a,2673,a(flip),b,3808,a)]. given #3606 (H,wt=17): 3810 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(3779,a,3809,a)]. given #3607 (H,wt=19): 3811 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(80,a,3810,a(flip),b,2561,a)]. given #3608 (H,wt=21): 3812 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(73(a,1),3810(a,1,2))]. given #3609 (H,wt=19): 3813 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1180(a,1),3812(a,1,1))]. given #3610 (H,wt=21): 3814 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1172(a,1),3813(a,1,1)),flip(a)]. given #3611 (H,wt=42): 1906 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(33(a,2),1905(a,1,1)),flip(a)]. given #3612 (H,wt=37): 3815 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(33(a,2),1906(a,2,2,1,1))]. given #3613 (H,wt=33): 3816 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(1007(a,1),3815(a,1,2))]. given #3614 (H,wt=31): 3817 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(824(a,1),3816(a,1,2,2))]. given #3615 (H,wt=26): 3818 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(431,a,3817,a),flip(a)]. given #3616 (H,wt=27): 3820 L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). [para(675(a,1),3818(a,2,1,2))]. given #3617 (H,wt=26): 3822 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1431(a,1),3820(a,1,2))]. given #3618 (H,wt=24): 3823 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(153(a,1),3822(a,2,1,2))]. given #3619 (H,wt=24): 3824 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1448(a,2),3823(a,2,1))]. given #3620 (H,wt=29): 3819 L(x,y,z) * L(L(x,y,z) \ 1,u,w) != v5 | L(x * L(x \ 1,u,w),y,z) = v5. [para(3817(a,1),431(a,1))]. given #3621 (H,wt=34): 3821 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(1044(a,1),3818(a,1,2))]. given #3622 (H,wt=32): 3825 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(17(a,1),3821(a,1,2,2)),flip(a)]. given #3623 (H,wt=27): 3826 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2650(a,1),3825(a,1,1)),flip(a)]. given #3624 (H,wt=27): 3827 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(255,a,3786,a(flip),b,3826,a)]. given #3625 (H,wt=17): 3828 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(22,a,1448,a(flip),b,3827,a)]. given #3626 (H,wt=17): 3829 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(255,a,3744,a,b,3828,a(flip)),flip(a)]. given #3627 (H,wt=17): 3830 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(3829(a,1),70(a,1,2)),flip(a)]. given #3628 (H,wt=17): 3831 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(70(a,1),3829(a,1,1,1,2)),flip(a)]. given #3629 (H,wt=17): 3832 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(70(a,1),3830(a,1,1,2)),flip(a)]. given #3630 (H,wt=17): 3835 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(3831(a,1),73(a,1,1))]. given #3631 (H,wt=17): 3837 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(70(a,1),3835(a,1,1,1,1)),flip(a)]. given #3632 (H,wt=21): 3834 T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). [para(3830(a,1),186(a,1,1))]. given #3633 (H,wt=17): 3838 T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). [para(73(a,1),3834(a,2,1))]. given #3634 (H,wt=21): 3839 T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). [para(3838(a,1),43(a,1,1)),flip(a)]. given #3635 (H,wt=22): 3833 L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). [para(241(a,1),3830(a,2,2,2))]. given #3636 (H,wt=23): 3836 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). [para(3832(a,1),3830(a,1,1)),flip(a)]. given #3637 (H,wt=23): 3841 K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). [para(3836(a,1),3708(a,1,2))]. given #3638 (H,wt=27): 3840 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(3833(a,1),112(a,1,2))]. given #3639 (H,wt=27): 3842 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [para(18(a,1),3840(a,2,2,2,2,2,2))]. given #3640 (H,wt=42): 1976 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(35(a,2),1975(a,1,1)),flip(a)]. given #3641 (H,wt=37): 3843 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(35(a,2),1976(a,2,2,1,1))]. given #3642 (H,wt=33): 3844 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1900(a,1),3843(a,1,1))]. given #3643 (H,wt=31): 3845 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1643(a,1),3844(a,1,1,1))]. given #3644 (H,wt=26): 3846 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(466,a,3845,a),flip(a)]. given #3645 (H,wt=27): 3847 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(675(a,1),3846(a,2,1,2))]. given #3646 (H,wt=26): 3849 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1313(a,1),3847(a,1,2))]. given #3647 (H,wt=24): 3850 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(153(a,1),3849(a,2,1,2))]. given #3648 (H,wt=24): 3851 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1448(a,2),3850(a,2,1))]. given #3649 (H,wt=34): 3848 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1177(a,1),3846(a,1,2))]. given #3650 (H,wt=32): 3852 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(17(a,1),3848(a,1,2,2)),flip(a)]. given #3651 (H,wt=28): 3853 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3620(a,1),3852(a,1,1)),flip(a)]. given #3652 (H,wt=27): 3854 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3617(a,1),3853(a,2,1))]. given #3653 (H,wt=27): 3855 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(255,a,3798,a(flip),b,3854,a)]. given #3654 (H,wt=17): 3856 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(22,a,1448,a(flip),b,3855,a)]. given #3655 (H,wt=17): 3857 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(255,a,3814,a,b,3856,a(flip)),flip(a)]. given #3656 (H,wt=17): 3858 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(3857(a,1),70(a,1,2)),flip(a)]. given #3657 (H,wt=17): 3859 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. [para(145(a,1),3857(a,1,1,1)),flip(a)]. given #3658 (H,wt=17): 3861 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(70(a,1),3858(a,1,1,2)),flip(a)]. given #3659 (H,wt=17): 3862 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(3859(a,1),73(a,1,1)),flip(a)]. given #3660 (H,wt=17): 3863 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(3861(a,1),3368(a,1,2))]. given #3661 (H,wt=17): 3867 T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). [para(3862(a,2),3371(a,1,2))]. given #3662 (H,wt=21): 3860 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2230(a,1),3857(a,1,1,1))]. given #3663 (H,wt=22): 3864 R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. [para(472(a,1),3862(a,2,1,1))]. given #3664 (H,wt=22): 3866 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2813(a,1),3862(a,2,1,1))]. given #3665 (H,wt=17): 3869 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(255,a,2838,a,b,3866,a(flip)),flip(a)]. given #3666 (H,wt=24): 3868 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(658(a,1),3860(a,1,1)),flip(a)]. given #3667 (H,wt=30): 3865 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3862(a,2),2239(a,1,1))]. given #3668 (H,wt=27): 3870 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(230,a,3865,a),flip(a)]. given #3669 (H,wt=27): 3871 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2238(a,1),3870(a,2,1))]. given #3670 (H,wt=30): 3873 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(255,a,3366,a(flip),b,3871,a(flip)),flip(a)]. given #3671 (H,wt=30): 3874 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(3862(a,2),3873(a,1,1))]. given #3672 (H,wt=24): 3875 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. [para(3190(a,1),3874(a,2,1))]. given #3673 (H,wt=31): 3872 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(255,a,3633,a(flip),b,3871,a(flip)),flip(a)]. given #3674 (H,wt=25): 3877 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3190(a,1),3872(a,2,1))]. given #3675 (H,wt=35): 3876 (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(3864(a,1),3875(a,1,1))]. given #3676 (H,wt=31): 3878 (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(21(a,1),3876(a,1,2,1))]. given #3677 (H,wt=29): 3879 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). [hyper(1245,a,3878,a),flip(a)]. given #3678 (H,wt=42): 2539 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ ((x * (y * z)) / L(z,y,x))))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(143(a,1),2538(a,1,1)),flip(a)]. given #3679 (H,wt=35): 3881 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(143(a,1),2539(a,1,2,2,2,2))]. given #3680 (H,wt=31): 3882 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). [hyper(255,a,3842,a(flip),b,3881,a(flip))]. given #3681 (H,wt=31): 3884 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). [para(3840(a,1),3882(a,2,2))]. given #3682 (H,wt=29): 3885 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). [para(60(a,1),3884(a,2,2,2,2,2,2,2))]. given #3683 (H,wt=25): 3887 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). [para(70(a,1),3885(a,2,2,2,2,2))]. given #3684 (H,wt=25): 3888 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). [para(1448(a,2),3887(a,2,2,2))]. given #3685 (H,wt=28): 3889 (x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z. [para(3888(a,1),24(a,1)),flip(a)]. given #3686 (H,wt=42): 3273 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,K(x \ (x / (y \ 1)),x) * y). [para(3255(a,2),566(a,1,2,2))]. given #3687 (H,wt=34): 3890 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(3255(a,2),3273(a,2,2,2))]. given #3688 (H,wt=44): 1217 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(1161(a,1),1213(a,2,2))]. given #3689 (H,wt=42): 3891 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(2748(a,1),1217(a,1,1,2))]. given #3690 (H,wt=32): 3892 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(21(a,1),3891(a,1,1,2))]. given #3691 (H,wt=24): 3894 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1161(a,1),3892(a,1,1)),flip(a)]. given #3692 (H,wt=24): 3896 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3894(a,1),3622(a,1,1))]. given #3693 (H,wt=26): 3897 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(80,a,3896,a(flip),b,3587,a)]. given #3694 (H,wt=19): 3898 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(2771,a,3897,a),flip(a)]. given #3695 (H,wt=19): 3900 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3898(a,1),2532(a,1,1))]. given #3696 (H,wt=19): 3901 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(3621,a,3900,a)]. given #3697 (H,wt=22): 3899 K(x \ 1,R(x,y,z)) \ 1 != u | K(R(x,y,z),x \ 1) = u. [para(3897(a,1),2771(a,1))]. given #3698 (H,wt=22): 3902 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(255,a,3564,a,b,3901,a(flip)),flip(a)]. given #3699 (H,wt=22): 3904 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(3902(a,1),19(a,1,2))]. given #3700 (H,wt=22): 3905 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(255,a,3858,a(flip),b,3904,a)]. given #3701 (H,wt=20): 3906 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(22,a,1483,a,b,3905,a),flip(a)]. given #3702 (H,wt=20): 3907 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(364,a,3906,a)]. given #3703 (H,wt=22): 3908 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3906(a,1),1458(a,1,1)),flip(a)]. given #3704 (H,wt=20): 3911 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(255,a,3898,a(flip),b,3908,a)]. given #3705 (H,wt=22): 3910 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3907(a,1),3877(a,1,1))]. given #3706 (H,wt=23): 3903 R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(3901(a,1),2671(a,1,1))]. given #3707 (H,wt=23): 3909 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3907(a,1),315(a,1))]. given #3708 (H,wt=25): 3912 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3910(a,1),25(a,1))]. given #3709 (H,wt=26): 3913 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(3312(a,1),3910(a,1,1))]. given #3710 (H,wt=22): 3915 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(1524(a,1),3913(a,2,1,2))]. given #3711 (H,wt=25): 3916 K(x,R(x \ 1,y,z)) * (y * z) != u * z | y * K(x,x \ 1) = u. [para(3915(a,2),25(a,1))]. given #3712 (H,wt=27): 3914 K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). [para(3312(a,1),3903(a,1,1)),flip(a)]. given #3713 (H,wt=24): 3917 R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). [hyper(255,a,3906,a(flip),b,3914,a(flip))]. given #3714 (H,wt=20): 3918 R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). [hyper(255,a,3312,a(flip),b,3917,a)]. given #3715 (H,wt=25): 3919 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(3918(a,1),122(a,1,1)),flip(a)]. given #3716 (H,wt=13): 3920 L(x,y,K(z,R(z \ 1,y,x))) = x. [hyper(422,a,3919,a)]. given #3717 (H,wt=18): 3921 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(23,a,3915,a(flip),b,3919,a)]. given #3718 (H,wt=14): 3922 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(23,a,2247,a,b,3921,a)]. given #3719 (H,wt=10): 3926 L(x,y,K(z,z \ 1)) = x. [para(3922(a,1),3920(a,1,3))]. given #3720 (H,wt=10): 3939 L(x,y,K(z,1 / z)) = x. [para(1445(a,2),3926(a,1,3))]. given #3721 (H,wt=10): 3940 L(x,y,K(z \ 1,z)) = x. [para(1451(a,1),3926(a,1,3))]. given #3722 (H,wt=12): 3943 L(x,y,K(z \ u,u \ z)) = x. [para(2502(a,1),3926(a,1,3))]. given #3723 (H,wt=13): 3947 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3645,a,3940,a),flip(a)]. given #3724 (H,wt=13): 3951 a(x,1 / y,y) = a(x,y \ 1,y). [hyper(255,a,2818,a(flip),b,3940,a(flip))]. given #3725 (H,wt=13): 3963 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(70(a,1),3947(a,1,3)),flip(a)]. given #3726 (H,wt=15): 3952 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(255,a,2406,a(flip),b,3940,a(flip))]. given #3727 (H,wt=17): 3937 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3926(a,1),375(a,1,2)),flip(a)]. given #3728 (H,wt=17): 3941 ((x \ 1) \ 1) / (y \ x) = K(x,x \ 1) * y. [para(3926(a,1),1474(a,1,2))]. given #3729 (H,wt=17): 3942 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3926(a,1),1472(a,1,2)),flip(a)]. given #3730 (H,wt=17): 3946 K(x,1 / x) * (1 / y) = K(x,1 / x) / y. [para(3939(a,1),375(a,1,2)),flip(a)]. given #3731 (H,wt=17): 3953 (x * K(y \ 1,y)) \ K(y \ 1,y) = x \ 1. [hyper(255,a,2282,a(flip),b,3940,a(flip)),flip(a)]. given #3732 (H,wt=17): 3956 K(x \ 1,x) * (1 / y) = K(x \ 1,x) / y. [para(3940(a,1),375(a,1,2)),flip(a)]. given #3733 (H,wt=17): 3965 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [hyper(255,a,2892,a,b,3951,a(flip)),flip(a)]. given #3734 (H,wt=17): 3966 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(3632,a,3963,a)]. given #3735 (H,wt=17): 3969 K(x,x \ 1) * (x / y) = ((x \ 1) \ 1) / y. [para(73(a,1),3941(a,1,2)),flip(a)]. given #3736 (H,wt=17): 3971 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2253,a,3942,a)]. given #3737 (H,wt=17): 3973 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(2914(a,1),3953(a,1,1)),flip(a)]. given #3738 (H,wt=17): 3974 (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. [hyper(2267,a,3956,a)]. given #3739 (H,wt=17): 3976 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2253,a,3969,a)]. given #3740 (H,wt=17): 3977 (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). [hyper(302,a,3971,a),flip(a)]. given #3741 (H,wt=17): 3980 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(3977(a,1),73(a,1,1))]. given #3742 (H,wt=19): 3925 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3922(a,1),3915(a,1,1)),flip(a)]. given #3743 (H,wt=17): 3983 (x * K(y,y \ 1)) \ K(y,y \ 1) = x \ 1. [hyper(80,a,64,a(flip),b,3925,a)]. given #3744 (H,wt=17): 3988 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [para(2911(a,1),3983(a,1,1)),flip(a)]. given #3745 (H,wt=17): 3989 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(2912(a,1),3983(a,1,1)),flip(a)]. given #3746 (H,wt=19): 3933 (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). [hyper(255,a,2941,a(flip),b,3926,a(flip)),flip(a)]. given #3747 (H,wt=19): 3934 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(255,a,114,a(flip),b,3926,a(flip)),flip(a)]. given #3748 (H,wt=19): 3936 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3926(a,1),112(a,1,2))]. given #3749 (H,wt=14): 3994 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(454,a,3936,a)]. given #3750 (H,wt=19): 3938 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3926(a,1),483(a,1,2))]. given #3751 (H,wt=17): 3998 K(x,x \ 1) * ((1 / (1 / x)) / y) = x / y. [para(1504(a,1),3938(a,1,1)),flip(a)]. given #3752 (H,wt=17): 4000 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [hyper(2921,a,3998,a)]. given #3753 (H,wt=19): 3945 (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). [para(3939(a,1),112(a,1,2))]. given #3754 (H,wt=19): 3950 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(255,a,2932,a(flip),b,3940,a(flip))]. given #3755 (H,wt=19): 3954 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(255,a,114,a(flip),b,3940,a(flip)),flip(a)]. given #3756 (H,wt=19): 3955 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3940(a,1),112(a,1,2))]. given #3757 (H,wt=19): 3957 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3940(a,1),483(a,1,2))]. given #3758 (H,wt=19): 3958 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3940(a,1),2283(a,1,2))]. given #3759 (H,wt=14): 4010 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3912,a,3958,a)]. given #3760 (H,wt=17): 4016 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3909,a,4010,a)]. given #3761 (H,wt=19): 3985 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [para(2911(a,1),3925(a,1,1)),flip(a)]. given #3762 (H,wt=19): 3991 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [para(2924(a,1),3933(a,1,1)),flip(a)]. given #3763 (H,wt=19): 3992 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2924(a,1),3934(a,1,1)),flip(a)]. given #3764 (H,wt=19): 4002 (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). [hyper(255,a,2259,a(flip),b,3945,a)]. given #3765 (H,wt=19): 4006 (K(x \ 1,x) * y) \ z = y \ (z * K(x,x \ 1)). [para(2913(a,1),3954(a,1,2))]. given #3766 (H,wt=19): 4021 x * ((x * K(y \ 1,y)) \ z) = K(y,y \ 1) * z. [para(3992(a,2),19(a,1,2))]. given #3767 (H,wt=19): 4022 (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). [hyper(81,a,98,a(flip),b,4002,a)]. given #3768 (H,wt=20): 3932 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [hyper(255,a,2734,a,b,3926,a(flip)),flip(a)]. given #3769 (H,wt=20): 3949 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y). [hyper(255,a,2735,a,b,3940,a(flip)),flip(a)]. given #3770 (H,wt=20): 3968 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3937(a,1),2253(a,1))]. given #3771 (H,wt=20): 3979 K(x \ 1,x) / y != (1 / y) * z | K(x \ 1,x) = z. [para(3974(a,1),24(a,1))]. given #3772 (H,wt=21): 3986 K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. [para(3097(a,1),3925(a,1,1)),flip(a)]. given #3773 (H,wt=18): 4029 a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x. [hyper(81,a,2944,a(flip),b,3986,a(flip))]. given #3774 (H,wt=21): 3993 (x \ y) \ (K(x,x \ 1) * z) = (((x \ 1) \ 1) \ y) \ z. [para(3036(a,1),3934(a,1,1))]. given #3775 (H,wt=21): 3996 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(255,a,3851,a,b,3994,a(flip)),flip(a)]. given #3776 (H,wt=21): 4001 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(199(a,1),4000(a,1,2)),flip(a)]. given #3777 (H,wt=21): 4004 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(3097(a,1),3950(a,1,1)),flip(a)]. given #3778 (H,wt=21): 4009 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3957(a,1),129(a,1,1))]. given #3779 (H,wt=21): 4017 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(4010(a,1),1163(a,1,2))]. given #3780 (H,wt=15): 4034 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(23,a,3098,a,b,4017,a),flip(a)]. given #3781 (H,wt=13): 4036 R(x,y,z) / x = x \ R(x,y,z). [hyper(255,a,1173,a(flip),b,4034,a(flip)),flip(a)]. given #3782 (H,wt=13): 4037 (x \ R(x,y,z)) * x = R(x,y,z). [para(4036(a,1),21(a,1,1))]. given #3783 (H,wt=10): 4039 T(x,x \ R(x,y,z)) = x. [hyper(286,a,4037,a)]. given #3784 (H,wt=22): 4023 (K(x,1 / x) * y) * z != u * K(x,1 / x) | y * z = u. [para(4002(a,2),25(a,1))]. given #3785 (H,wt=22): 4024 x * ((x * K(y \ 1,R(y,z,u))) \ w) = K(y,y \ 1) * w. [para(4010(a,2),4021(a,1,2,1,2))]. given #3786 (H,wt=23): 3960 (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). [para(3943(a,1),112(a,1,2))]. given #3787 (H,wt=23): 4020 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(255,a,128,a,b,3991,a),flip(a)]. given #3788 (H,wt=23): 4038 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(4036(a,1),480(a,1,1))]. given #3789 (H,wt=23): 4041 (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). [para(2519(a,1),3960(a,1,1))]. given #3790 (H,wt=24): 4031 K(x,x \ 1) != R(x,y,z) * u | (1 / x) * (R(x,y,z) \ x) = u. [para(3996(a,1),24(a,1))]. given #3791 (H,wt=24): 4043 (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. [para(4041(a,2),159(a,1)),flip(b)]. given #3792 (H,wt=25): 3962 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(255,a,3061,a,b,3947,a(flip)),flip(a)]. given #3793 (H,wt=25): 4040 x * ((x * K(y \ 1,R(y,z,u))) \ w) != v5 * w | K(y,y \ 1) = v5. [para(4024(a,2),25(a,1))]. given #3794 (H,wt=26): 3975 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(255,a,114,a(flip),b,3966,a(flip))]. given #3795 (H,wt=26): 3984 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(81,a,3925,a(flip),b,122,a)]. given #3796 (H,wt=17): 4044 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(255,a,2318,a(flip),b,3984,a(flip))]. given #3797 (H,wt=21): 4045 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1451(a,1),4044(a,1,2)),flip(a)]. given #3798 (H,wt=17): 4046 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1451(a,1),4045(a,1,3)),flip(a)]. given #3799 (H,wt=26): 3999 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3938(a,1),2943(a,1,1))]. given #3800 (H,wt=26): 4008 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3955(a,1),35(a,2,1,1)),flip(a)]. given #3801 (H,wt=26): 4028 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) = T(x,y / (z \ 1)). [para(2827(a,1),3949(a,1,1,2))]. given #3802 (H,wt=26): 4047 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3955(a,1),4008(a,1,1))]. given #3803 (H,wt=26): 4048 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(255,a,3957,a(flip),b,4047,a(flip)),flip(a)]. given #3804 (H,wt=21): 4049 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(35(a,2),4048(a,1,2)),flip(a)]. given #3805 (H,wt=21): 4051 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2938,a,4049,a(flip))]. given #3806 (H,wt=19): 4052 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1481(a,1),4051(a,1,2,1))]. given #3807 (H,wt=21): 4053 R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). [para(2918(a,1),4051(a,1,2,1)),flip(a)]. given #3808 (H,wt=21): 4054 R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). [hyper(255,a,2247,a(flip),b,4053,a)]. given #3809 (H,wt=27): 4032 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(4004(a,1),3731(a,1,2,1)),flip(a)]. given #3810 (H,wt=27): 4050 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(255,a,2990,a(flip),b,4049,a)]. given #3811 (H,wt=17): 4056 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2878(a,1),4050(a,1,1)),flip(a)]. given #3812 (H,wt=17): 4057 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(96,a,4056,a)]. given #3813 (H,wt=17): 4058 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(19(a,1),4056(a,1,1,2,1)),flip(a)]. given #3814 (H,wt=17): 4059 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(21(a,1),4057(a,1,1,1)),flip(a)]. given #3815 (H,wt=17): 4063 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(4059(a,1),19(a,1,2)),flip(a)]. given #3816 (H,wt=22): 4060 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(472(a,1),4058(a,2,1,2))]. given #3817 (H,wt=22): 4062 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2813(a,1),4058(a,2,1,2))]. given #3818 (H,wt=17): 4066 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(255,a,3558,a(flip),b,4062,a(flip))]. given #3819 (H,wt=13): 4069 (x * (y \ T(y,x))) * y = y * x. [para(18(a,1),4066(a,1,1)),flip(a)]. given #3820 (H,wt=13): 4070 x * (y \ T(y,x)) = (y * x) / y. [hyper(96,a,4069,a),flip(a)]. given #3821 (H,wt=13): 4072 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(23,a,127,a(flip),b,4069,a)]. given #3822 (H,wt=13): 4074 x \ ((y * x) / y) = y \ T(y,x). [hyper(87,a,4070,a)]. given #3823 (H,wt=13): 4077 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(80,a,167,a(flip),b,4070,a)]. given #3824 (H,wt=13): 4079 ((x * y) / x) / y = x \ T(x,y). [hyper(22,a,3179,a,b,4070,a),flip(a)]. given #3825 (H,wt=13): 4080 (x \ T(x,y)) * y = (x * y) / x. [hyper(255,a,3154,a,b,4070,a(flip)),flip(a)]. given #3826 (H,wt=13): 4085 ((x * y) / x) \ y = T(x,y) \ x. [para(4070(a,1),3487(a,1,1))]. given #3827 (H,wt=13): 4086 (T(x,y) \ x) * ((x * y) / x) = y. [para(4070(a,1),3584(a,1,2))]. given #3828 (H,wt=13): 4087 T(x,T(y,x)) \ x = y \ T(y,x). [para(4072(a,1),3487(a,1,1)),flip(a)]. given #3829 (H,wt=13): 4088 x * (T(y,T(x,y)) \ y) = T(x,y). [para(4072(a,1),3488(a,1,1))]. given #3830 (H,wt=13): 4091 x * (T(y,x) \ y) = T(x,T(y,x)). [para(4077(a,2),19(a,1,2))]. given #3831 (H,wt=13): 4101 T(x,T(y,x)) * (y \ T(y,x)) = x. [para(4087(a,1),19(a,1,2))]. given #3832 (H,wt=10): 4107 L(x,y \ T(y,x),y) = x. [hyper(255,a,3577,a(flip),b,4101,a(flip)),flip(a)]. given #3833 (H,wt=13): 4103 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(4087(a,1),3134(a,1,1))]. given #3834 (H,wt=15): 4071 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(81,a,19,a(flip),b,4069,a),flip(a)]. given #3835 (H,wt=15): 4083 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(4070(a,1),2571(a,1,1))]. given #3836 (H,wt=15): 4096 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(19(a,1),4085(a,1,1,1)),flip(a)]. given #3837 (H,wt=15): 4104 (x * (T(x,T(y,x)) \ x)) * y = y * x. [para(4087(a,2),4069(a,1,1,2))]. given #3838 (H,wt=13): 4114 T(x * (T(x,T(y,x)) \ x),y) = x. [hyper(172,a,4104,a,b,xx)]. given #3839 (H,wt=15): 4105 (x * y) / x = y * (T(y,T(x,y)) \ y). [para(4087(a,2),4070(a,1,2)),flip(a)]. given #3840 (H,wt=15): 4110 T(x,y) \ (y * (x \ T(x,y))) = x \ y. [hyper(80,a,4107,a(flip),b,3178,a),flip(a)]. given #3841 (H,wt=13): 4116 T(x,y) \ ((x * y) / x) = x \ y. [para(4070(a,1),4110(a,1,2))]. given #3842 (H,wt=11): 4117 T(x / y,T(y,x)) = y \ x. [hyper(899,a,4116,a)]. given #3843 (H,wt=13): 4118 T(x,y) * (x \ y) = (x * y) / x. [para(4116(a,1),19(a,1,2))]. given #3844 (H,wt=11): 4123 T(x,x / (x / y)) = T(x,y). [hyper(23,a,1632,a,b,4118,a),flip(a)]. given #3845 (H,wt=11): 4132 T(x,x / y) = T(x,y \ x). [para(70(a,1),4123(a,1,2,2))]. given #3846 (H,wt=11): 4133 T(x,(y \ x) \ x) = T(x,y). [para(145(a,1),4123(a,1,2)),flip(a)]. given #3847 (H,wt=11): 4138 T(x,T(y,y \ x)) = T(x,y). [para(128(a,2),4133(a,1,2))]. given #3848 (H,wt=13): 4119 T(x,T(y,x * y)) = y \ (x * y). [para(20(a,1),4117(a,1,1))]. given #3849 (H,wt=11): 4139 T(x,T(y,x * y)) = T(x,y). [hyper(255,a,37,a,b,4119,a)]. given #3850 (H,wt=13): 4121 T(x \ y,T(x,y)) = T(x \ y,x). [para(4117(a,1),185(a,1,1)),flip(a)]. given #3851 (H,wt=13): 4127 T(x,y) * y = x * ((x * y) / x). [para(4118(a,1),1078(a,1,2)),flip(a)]. given #3852 (H,wt=13): 4129 T(x,x / (1 / y)) = T(x,x * y). [hyper(255,a,1637,a(flip),b,4123,a(flip)),flip(a)]. given #3853 (H,wt=13): 4130 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(255,a,1000,a(flip),b,4123,a(flip)),flip(a)]. given #3854 (H,wt=13): 4131 (x / y) \ T(x,y) = (x * y) / x. [hyper(80,a,4123,a(flip),b,998,a)]. given #3855 (H,wt=13): 4136 T(x,(y \ 1) \ x) = T(x,y * x). [hyper(1617,a,4132,a),flip(a)]. given #3856 (H,wt=13): 4137 T(T(x,y \ x) / y,x) = x / y. [para(4132(a,1),988(a,1,1,1))]. given #3857 (H,wt=13): 4140 T(x,T(x \ y,y)) = T(x,x \ y). [para(19(a,1),4139(a,1,2,2))]. given #3858 (H,wt=13): 4149 T(x,(1 / y) * x) = T(x,y \ x). [para(73(a,1),4136(a,1,2,1)),flip(a)]. given #3859 (H,wt=15): 4112 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(128(a,1),4071(a,1,2,2))]. given #3860 (H,wt=15): 4124 (x * (x * y)) / x = T(x,x * y) * y. [para(18(a,1),4118(a,1,2)),flip(a)]. given #3861 (H,wt=15): 4134 T(T(x,y) / (x / y),x) = x / (x / y). [para(4123(a,1),988(a,1,1,1))]. given #3862 (H,wt=15): 4135 T(x,T(y,x)) * (y * x) = x * (x * y). [para(4123(a,1),1359(a,1,1))]. given #3863 (H,wt=15): 4145 T(x,x \ y) * (x \ y) = x * (y / x). [para(19(a,1),4127(a,2,2,1))]. given #3864 (H,wt=15): 4151 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(87,a,4112,a)]. given #3865 (H,wt=15): 4155 T(x,x \ y) * y = x * (x * (y / x)). [para(4145(a,1),1078(a,1,2)),flip(a)]. given #3866 (H,wt=16): 4073 R(x,y \ T(y,x),y) = (y * x) / T(y,x). [hyper(81,a,4069,a(flip),b,3253,a),flip(a)]. given #3867 (H,wt=10): 4157 R(x,y \ T(y,x),y) = x. [hyper(255,a,144,a(flip),b,4073,a)]. given #3868 (H,wt=14): 4159 R(T(x,y),z \ T(z,x),z) = T(x,y). [para(4157(a,1),47(a,2,1))]. given #3869 (H,wt=16): 4089 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(4074(a,1),438(a,1,1))]. given #3870 (H,wt=16): 4090 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(4074(a,1),1859(a,1,1)),flip(a)]. given #3871 (H,wt=12): 4162 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(255,a,3236,a(flip),b,4090,a)]. given #3872 (H,wt=14): 4165 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(3439(a,1),4162(a,1,2))]. given #3873 (H,wt=13): 4168 T(x,x / (x * y)) = T(x,y \ 1). [hyper(255,a,3443,a(flip),b,4165,a(flip)),flip(a)]. given #3874 (H,wt=13): 4169 T(x,x / (y * x)) = T(x,y \ 1). [hyper(255,a,3438,a(flip),b,4165,a(flip)),flip(a)]. given #3875 (H,wt=15): 4163 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(3498,a,4162,a),flip(a)]. given #3876 (H,wt=15): 4170 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2418,a,4168,a)]. given #3877 (H,wt=15): 4173 x * K(x,(x / y) / x) = T(x,y \ 1). [hyper(255,a,1916,a,b,4168,a(flip)),flip(a)]. given #3878 (H,wt=15): 4174 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(81,a,4168,a(flip),b,2412,a)]. given #3879 (H,wt=15): 4175 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(80,a,4168,a(flip),b,1916,a),flip(a)]. given #3880 (H,wt=15): 4178 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(80,a,4169,a(flip),b,1063,a)]. given #3881 (H,wt=15): 4186 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(80,a,4178,a,b,xx)]. given #3882 (H,wt=16): 4102 x * (y \ T(y,z)) != z | T(z,T(y,z)) = x. [para(4087(a,1),94(a,1,2)),flip(b)]. given #3883 (H,wt=16): 4108 T(x,T(y,x)) \ x != z | y \ T(y,x) = z. [para(4101(a,1),222(a,1,2)),flip(b)]. given #3884 (H,wt=16): 4128 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(4118(a,1),3162(a,1,1,1))]. given #3885 (H,wt=14): 4192 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(4079(a,1),4128(a,1,1))]. given #3886 (H,wt=13): 4193 K(T(x,y),y) = K(x,(x * y) / x). [hyper(255,a,4089,a(flip),b,4192,a(flip))]. given #3887 (H,wt=13): 4195 K(T(x,T(y,x)),T(y,x)) = K(x,y). [para(167(a,1),4193(a,2,2))]. given #3888 (H,wt=15): 4194 K(T(x,x \ y),x \ y) = K(x,y / x). [para(19(a,1),4193(a,2,2,1))]. given #3889 (H,wt=16): 4147 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(4129(a,1),1621(a,1,1))]. given #3890 (H,wt=14): 4197 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(255,a,4130,a(flip),b,4147,a)]. given #3891 (H,wt=16): 4161 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(167(a,1),4089(a,2,2)),flip(a)]. given #3892 (H,wt=17): 4076 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(80,a,251,a(flip),b,4070,a),flip(a)]. given #3893 (H,wt=15): 4200 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(129(a,1),4076(a,1,2))]. given #3894 (H,wt=15): 4201 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(255,a,4096,a,b,4200,a(flip)),flip(a)]. given #3895 (H,wt=15): 4202 x / (x / y) = y * (T(y,y \ x) \ y). [para(4201(a,2),19(a,1,2)),flip(a)]. given #3896 (H,wt=17): 4078 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(22,a,3184,a,b,4070,a),flip(a)]. given #3897 (H,wt=17): 4100 K(x \ (x / (y \ 1)),x) = T(x,T(y,x)) \ x. [hyper(255,a,1204,a,b,4087,a),flip(a)]. given #3898 (H,wt=17): 4111 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(3240(a,1),4103(a,1,1))]. given #3899 (H,wt=17): 4120 T(x / ((x * y) / x),y) = ((x * y) / x) \ x. [para(166(a,1),4117(a,1,2))]. given #3900 (H,wt=17): 4141 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(4121(a,1),127(a,1,2))]. given #3901 (H,wt=17): 4143 x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). [para(4121(a,2),388(a,1,2,2))]. given #3902 (H,wt=17): 4146 T(x / y,y) * y = (x / y) * (x / (x / y)). [para(21(a,1),4127(a,2,2,1))]. given #3903 (H,wt=15): 4210 (x / y) * (x / (x / y)) = (y \ x) * y. [para(129(a,1),4146(a,1,1)),flip(a)]. given #3904 (H,wt=17): 4148 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(20(a,1),4131(a,1,1)),flip(a)]. given #3905 (H,wt=14): 4211 T(x \ T(x * y,y),x) = R(y,x,y). [para(4148(a,1),703(a,2,1)),flip(a)]. given #3906 (H,wt=16): 4212 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(4148(a,1),714(a,1,1))]. given #3907 (H,wt=17): 4150 T(T(x * y,y) / x,x * y) = (x * y) / x. [para(18(a,1),4137(a,1,1,1,2))]. given #3908 (H,wt=17): 4177 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(4168(a,1),2414(a,1,2)),flip(a)]. given #3909 (H,wt=17): 4181 T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). [para(70(a,1),4174(a,2,2,1))]. given #3910 (H,wt=17): 4182 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(73(a,1),4174(a,1,1,2))]. given #3911 (H,wt=17): 4187 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(73(a,1),4178(a,2,2,1))]. given #3912 (H,wt=17): 4199 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(4197(a,1),1068(a,1,2)),flip(a)]. given #3913 (H,wt=17): 4203 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(18(a,1),4202(a,2,2,1,2))]. given #3914 (H,wt=17): 4215 x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. [hyper(80,a,4182,a,b,xx)]. given #3915 (H,wt=17): 4217 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(23,a,397,a,b,4199,a),flip(a)]. given #3916 (H,wt=17): 4218 (x / ((x * y) / x)) * y = x * (T(x,y) \ x). [hyper(255,a,1627,a(flip),b,4203,a(flip)),flip(a)]. given #3917 (H,wt=17): 4219 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(255,a,1125,a(flip),b,4203,a(flip)),flip(a)]. given #3918 (H,wt=17): 4225 (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). [para(4219(a,1),73(a,1,1))]. given #3919 (H,wt=18): 4082 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(4070(a,1),929(a,1,2))]. given #3920 (H,wt=18): 4106 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [hyper(255,a,3686,a(flip),b,4091,a(flip))]. given #3921 (H,wt=18): 4152 (x \ y) \ (y / x) != z | x \ ((x \ y) \ y) = z. [para(4112(a,1),222(a,1,2)),flip(b)]. given #3922 (H,wt=18): 4153 T(x,T(y,x)) * (y * x) != x * z | x * y = z. [para(4135(a,2),24(a,1))]. given #3923 (H,wt=18): 4156 T(x,x \ y) * y != x * z | x * (y / x) = z. [para(4155(a,2),24(a,1))]. given #3924 (H,wt=18): 4166 T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. [para(4162(a,1),3498(a,1))]. given #3925 (H,wt=18): 4180 x \ T(x,y \ 1) != z | K(x,(x / y) / x) = z. [para(4173(a,1),222(a,1,2)),flip(b)]. given #3926 (H,wt=18): 4188 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(350(a,2),4178(a,2,2)),flip(a)]. given #3927 (H,wt=18): 4198 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(4197(a,1),184(a,1,2))]. given #3928 (H,wt=19): 4084 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(3240(a,1),4070(a,1,2)),flip(a)]. given #3929 (H,wt=19): 4122 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(4117(a,1),2008(a,1,1)),flip(a)]. given #3930 (H,wt=13): 4229 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(255,a,4143,a(flip),b,4122,a(flip))]. given #3931 (H,wt=15): 4230 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(255,a,615,a(flip),b,4229,a(flip))]. given #3932 (H,wt=11): 4231 K(x,T(y,y * x)) = K(x,y). [hyper(255,a,615,a(flip),b,4230,a(flip))]. given #3933 (H,wt=15): 4233 K(x \ 1,T(y,x \ y)) = K(x \ 1,y). [para(1990(a,1),4231(a,1,2))]. given #3934 (H,wt=19): 4160 (T(x,y) * (z \ T(z,x))) * z = T(x,y) * T(z,x). [para(4159(a,1),3253(a,1,1)),flip(a)]. given #3935 (H,wt=19): 4167 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [hyper(255,a,3557,a(flip),b,4165,a(flip)),flip(a)]. given #3936 (H,wt=19): 4176 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(4168(a,1),2060(a,1,1,2))]. given #3937 (H,wt=19): 4179 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(128(a,2),4163(a,1,2,1))]. given #3938 (H,wt=19): 4204 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(255,a,1189,a,b,4078,a(flip)),flip(a)]. given #3939 (H,wt=19): 4216 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(255,a,933,a(flip),b,4187,a(flip)),flip(a)]. given #3940 (H,wt=19): 4223 x \ (y * (T(y,x) \ y)) = T(y / ((y * x) / y),x). [hyper(172,a,4218,a,b,19,a),flip(a)]. given #3941 (H,wt=17): 4239 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [hyper(255,a,4120,a(flip),b,4223,a)]. given #3942 (H,wt=19): 4234 K((x \ 1) \ 1,T(y,x * y)) = K((x \ 1) \ 1,y). [para(4136(a,1),4233(a,1,2))]. given #3943 (H,wt=15): 4240 K((x \ 1) \ 1,y) = K(x,T(y,x * y)). [hyper(255,a,3312,a(flip),b,4234,a(flip))]. given #3944 (H,wt=11): 4241 K(x,T(y,x * y)) = K(x,y). [hyper(255,a,3312,a(flip),b,4240,a(flip))]. given #3945 (H,wt=13): 4242 K(x,T(x \ y,y)) = K(x,x \ y). [para(19(a,1),4241(a,1,2,2))]. given #3946 (H,wt=19): 4235 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(22,a,859,a,b,4167,a),flip(a)]. given #3947 (H,wt=19): 4236 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(255,a,4175,a(flip),b,4176,a),flip(a)]. given #3948 (H,wt=19): 4243 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(255,a,3080,a(flip),b,4235,a(flip))]. given #3949 (H,wt=18): 4245 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(160(a,2),4243(a,1,2))]. given #3950 (H,wt=20): 4081 (x * (y \ T(y,x))) * y != z * u | (y * x) / u = z. [para(4070(a,2),369(a,1,1))]. given #3951 (H,wt=20): 4092 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(4077(a,2),3242(a,1,1))]. given #3952 (H,wt=20): 4093 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(4079(a,1),452(a,1,1,1))]. given #3953 (H,wt=20): 4115 x * y != x * z | T(z * (T(z,T(x,z)) \ z),x) = y. [para(4104(a,1),173(a,2))]. given #3954 (H,wt=20): 4142 T(x,y) * T(x \ y,x) != z | (x \ y) * T(x,y) = z. [para(4121(a,1),225(a,1,2))]. given #3955 (H,wt=20): 4144 x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. [para(4121(a,2),669(a,1,2,2))]. given #3956 (H,wt=21): 4184 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(4175(a,1),3795(a,1,1))]. given #3957 (H,wt=21): 4185 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(80,a,4178,a,b,4145,a)]. given #3958 (H,wt=21): 4206 x \ (y * ((z * (y \ x)) / z)) = z \ T(z,(x \ y) \ 1). [hyper(255,a,2056,a(flip),b,4078,a(flip)),flip(a)]. given #3959 (H,wt=21): 4221 T(x * (T(x,T(y,x)) \ x),T(y,x)) = L(R(x,y,x),y,x). [para(4105(a,1),4217(a,1,1))]. given #3960 (H,wt=21): 4248 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(255,a,4175,a(flip),b,4184,a)]. given #3961 (H,wt=22): 4189 R(x,(y \ x) / x,x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [para(4178(a,2),124(a,1,1,1)),flip(a)]. given #3962 (H,wt=22): 4190 x * ((y \ x) / x) != z * u | (y \ T(x,y \ 1)) / u = z. [para(4186(a,1),297(a,1,2))]. given #3963 (H,wt=22): 4191 x * ((y \ x) / x) != z * u | z \ (y \ T(x,y \ 1)) = u. [para(4186(a,1),368(a,1,2))]. given #3964 (H,wt=22): 4213 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(4212(a,1),106(a,1,1))]. given #3965 (H,wt=22): 4224 x * (T(x,y) \ x) != y * z | T(x / ((x * y) / x),y) = z. [para(4218(a,1),173(a,2)),flip(a)]. given #3966 (H,wt=22): 4237 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(4179(a,2),24(a,1))]. given #3967 (H,wt=23): 4065 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(81,a,4060,a(flip),b,193,a)]. given #3968 (H,wt=23): 4067 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(81,a,4062,a(flip),b,2810,a),flip(a)]. given #3969 (H,wt=21): 4249 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(255,a,1401,a(flip),b,4067,a(flip)),flip(a)]. given #3970 (H,wt=23): 4125 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(105(a,1),4118(a,1,2))]. given #3971 (H,wt=23): 4205 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(255,a,3783,a(flip),b,4078,a(flip)),flip(a)]. given #3972 (H,wt=21): 4251 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(4078(a,1),4205(a,1,1))]. given #3973 (H,wt=23): 4207 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(4078(a,1),2356(a,2,2,1))]. given #3974 (H,wt=23): 4252 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(4175(a,1),4207(a,1,1))]. given #3975 (H,wt=24): 4183 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(4174(a,2),162(a,2,1))]. given #3976 (H,wt=24): 4220 x * ((x / (1 / y)) / x) != z * u | z \ (T(x,y) / (1 / y)) = u. [para(4215(a,1),368(a,1,2))]. given #3977 (H,wt=24): 4227 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(73(a,1),4188(a,2,2,2))]. given #3978 (H,wt=24): 4238 x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. [para(4216(a,1),410(a,1,2))]. given #3979 (H,wt=24): 4253 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(3470(a,1),4227(a,1,2))]. given #3980 (H,wt=23): 4254 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(4253(a,1),3725(a,1,2)),flip(a)]. given #3981 (H,wt=19): 4255 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(255,a,3726,a(flip),b,4254,a),flip(a)]. given #3982 (H,wt=25): 4075 R(x,y,y \ 1) \ ((y * x) * (y \ 1)) = y \ T(y,R(x,y,y \ 1)). [hyper(80,a,729,a(flip),b,4070,a)]. given #3983 (H,wt=25): 4222 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(4148(a,1),4217(a,1,1))]. given #3984 (H,wt=25): 4228 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1138(a,1),4084(a,2,2))]. given #3985 (H,wt=25): 4246 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(81,a,4245,a(flip),b,774,a),flip(a)]. given #3986 (H,wt=21): 4258 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(255,a,4083,a(flip),b,4246,a(flip)),flip(a)]. given #3987 (H,wt=18): 4259 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(255,a,2047,a(flip),b,4258,a(flip)),flip(a)]. given #3988 (H,wt=22): 4260 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(18(a,1),4259(a,1,1,1)),flip(a)]. given #3989 (H,wt=18): 4261 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(18(a,1),4260(a,1,1,1)),flip(a)]. given #3990 (H,wt=25): 4256 ((1 / (x * y)) * x) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [hyper(255,a,3215,a,b,4228,a(flip)),flip(a)]. given #3991 (H,wt=26): 4094 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(4079(a,1),450(a,1,1,1))]. given #3992 (H,wt=26): 4099 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3648,a,4086,a)]. given #3993 (H,wt=22): 4263 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(255,a,3962,a(flip),b,4099,a(flip)),flip(a)]. given #3994 (H,wt=22): 4264 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(3065(a,1),4263(a,2,1))]. given #3995 (H,wt=19): 4265 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(255,a,4261,a(flip),b,4264,a(flip))]. given #3996 (H,wt=21): 4266 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(4265(a,1),2710(a,1,2,1))]. given #3997 (H,wt=26): 4250 (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. [para(4125(a,1),25(a,1))]. given #3998 (H,wt=27): 4055 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3330(a,1),4032(a,2,2))]. given #3999 (H,wt=25): 4267 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(255,a,263,a(flip),b,4055,a),flip(a)]. given #4000 (H,wt=27): 4126 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(4118(a,1),431(a,1,1))]. given #4001 (H,wt=27): 4247 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(4092(a,1),840(a,1,1))]. given #4002 (H,wt=23): 4268 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(31(a,2),4247(a,2,1))]. given #4003 (H,wt=28): 4061 R((x \ (1 / y)) * x,y,x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(4058(a,2),1199(a,1,1))]. given #4004 (H,wt=25): 4269 x * ((y * x) * T((y * x) \ 1,x)) = (((x \ (1 / y)) * x) * y) * x. [hyper(230,a,4061,a),flip(a)]. given #4005 (H,wt=25): 4270 x * (y * (x * T(x \ (y \ 1),x))) = (((x \ (1 / y)) * x) * y) * x. [para(832(a,1),4269(a,1,2))]. given #4006 (H,wt=23): 4271 (((x \ (1 / y)) * x) * y) * x = x * (y * ((x \ (y \ 1)) * x)). [para(127(a,1),4270(a,1,2,2)),flip(a)]. given #4007 (H,wt=28): 4154 (x * (y / x)) \ (T(x,x \ y) * ((x \ y) * z)) = L(z,x \ y,T(x,x \ y)). [para(4145(a,1),33(a,2,1)),flip(a)]. given #4008 (H,wt=28): 4244 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3264(a,1),4236(a,1,2,2,1)),flip(a)]. given #4009 (H,wt=28): 4257 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(4228(a,2),24(a,1))]. given #4010 (H,wt=28): 4262 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [para(4029(a,2),4256(a,1,1))]. given #4011 (H,wt=28): 4272 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(255,a,4248,a,b,4244,a)]. given #4012 (H,wt=24): 4274 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3371(a,1),4272(a,2,1,2))]. given #4013 (H,wt=29): 4068 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(4062(a,1),3768(a,1,1)),flip(a)]. given #4014 (H,wt=27): 4275 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(16(a,1),4068(a,2,1,1,2))]. given #4015 (H,wt=23): 4276 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(73(a,1),4275(a,2,2))]. given #4016 (H,wt=29): 4226 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(4219(a,1),1557(a,2,2,1,2))]. given #4017 (H,wt=25): 4277 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(255,a,1744,a(flip),b,4226,a(flip))]. given #4018 (H,wt=23): 4278 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(127(a,1),4277(a,2,1,2))]. given #4019 (H,wt=21): 4279 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(4239(a,1),4278(a,1,2,1))]. given #4020 (H,wt=30): 4098 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(4085(a,1),1605(a,1,2,2,1))]. given #4021 (H,wt=28): 4280 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(4085(a,1),4098(a,2,2))]. given #4022 (H,wt=31): 4005 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3950(a,1),3210(a,1))]. given #4023 (H,wt=31): 4033 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(3207(a,1),4009(a,1,1))]. given #4024 (H,wt=31): 4113 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(4083(a,1),431(a,1,1))]. given #4025 (H,wt=31): 4208 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(4078(a,1),2417(a,2,2,1))]. given #4026 (H,wt=31): 4214 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(4177(a,1),2873(a,2,1,2))]. given #4027 (H,wt=29): 4282 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2899(a,1),4214(a,1,1,1))]. given #4028 (H,wt=27): 4283 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3976(a,1),4282(a,1,1,1))]. given #4029 (H,wt=25): 4284 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(129(a,1),4283(a,1,1))]. given #4030 (H,wt=21): 4285 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(4186(a,1),4284(a,2,1))]. given #4031 (H,wt=17): 4286 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(255,a,21,a(flip),b,4285,a)]. given #4032 (H,wt=17): 4287 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(23,a,2926,a(flip),b,4285,a),flip(a)]. given #4033 (H,wt=19): 4290 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(4286(a,1),2831(a,1,1)),flip(a)]. given #4034 (H,wt=20): 4288 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) != z | x \ y = z. [para(4285(a,2),226(a,1)),flip(b)]. given #4035 (H,wt=21): 4291 K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. [para(4287(a,1),3925(a,1,1)),flip(a)]. given #4036 (H,wt=23): 4292 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(4291(a,1),3088(a,1,2))]. given #4037 (H,wt=26): 4293 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(4291(a,1),3204(a,1,1))]. given #4038 (H,wt=31): 4273 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) != x * z | ((x \ (1 / y)) * x) * y = z. [para(4262(a,2),24(a,1))]. given #4039 (H,wt=31): 4281 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(4033(a,2),4005(a,1))]. given #4040 (H,wt=32): 4013 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3958(a,1),33(a,2,1)),flip(a)]. given #4041 (H,wt=32): 4015 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3958(a,1),3099(a,1,1))]. given #4042 (H,wt=32): 4025 R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [hyper(255,a,474,a,b,4022,a(flip)),flip(a)]. given #4043 (H,wt=32): 4095 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((1 / (x * y)) \ T(1 / (x * y),x)) * x. [para(4029(a,2),4080(a,2,1)),flip(a)]. given #4044 (H,wt=30): 4296 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((x * y) * T((x * y) \ 1,x)) * x. [para(663(a,1),4095(a,2,1))]. given #4045 (H,wt=28): 4297 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = (((x \ (1 / y)) * x) * y) * x. [para(1138(a,1),4296(a,2,1))]. given #4046 (H,wt=28): 4298 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (y * ((x \ (y \ 1)) * x)). [hyper(255,a,4271,a(flip),b,4297,a)]. given #4047 (H,wt=19): 4299 ((x \ (1 / y)) * x) * y = y * ((x \ (y \ 1)) * x). [hyper(4273,a,4298,a)]. given #4048 (H,wt=23): 4300 (x \ 1) * ((y \ ((x \ 1) \ 1)) * y) = ((y \ x) * y) * (x \ 1). [para(70(a,1),4299(a,1,1,1,2)),flip(a)]. given #4049 (H,wt=19): 4301 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(255,a,4292,a(flip),b,4300,a(flip))]. given #4050 (H,wt=32): 4209 (T(x,T(y,x)) \ x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(4100(a,1),3890(a,1,1))]. given #4051 (H,wt=30): 4302 (T(x,T(y,x)) \ x) \ (L(z,y,T(x,T(y,x)) \ x) * T(y,x)) = y * T(z,T(y,x)). [para(4100(a,1),4209(a,1,2,1,3))]. given #4052 (H,wt=32): 4294 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3958(a,1),4013(a,1,2))]. given #4053 (H,wt=24): 4303 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(752,a,4294,a)]. given #4054 (H,wt=15): 4304 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(255,a,3940,a(flip),b,4303,a(flip))]. given #4055 (H,wt=15): 4306 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2263(a,2),4304(a,1,3))]. given #4056 (H,wt=17): 4307 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(3068(a,1),4306(a,1,3)),flip(a)]. given #4057 (H,wt=32): 4295 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(255,a,3957,a(flip),b,4015,a(flip)),flip(a)]. given #4058 (H,wt=33): 3978 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(613(a,1),3971(a,1,1)),flip(a)]. given #4059 (H,wt=29): 4308 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1451(a,1),3978(a,2,2))]. given #4060 (H,wt=25): 4309 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(70(a,1),4308(a,1,1))]. given #4061 (H,wt=15): 4310 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(255,a,4286,a(flip),b,4309,a)]. given #4062 (H,wt=17): 4311 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(564(a,1),4310(a,1,2,2,2))]. given #4063 (H,wt=19): 4312 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(288(a,1),4310(a,1,2,2,2))]. given #4064 (H,wt=17): 4313 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(255,a,4001,a(flip),b,4312,a(flip)),flip(a)]. given #4065 (H,wt=21): 4316 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(4313(a,1),3985(a,1,2,1))]. given #4066 (H,wt=17): 4317 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(255,a,3108,a(flip),b,4316,a(flip)),flip(a)]. given #4067 (H,wt=17): 4318 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(4317(a,1),4276(a,1,1))]. given #4068 (H,wt=17): 4319 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(255,a,4301,a(flip),b,4318,a(flip)),flip(a)]. given #4069 (H,wt=20): 4320 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(4318(a,1),24(a,1))]. given #4070 (H,wt=34): 4012 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3958(a,1),29(a,2,1)),flip(a)]. given #4071 (H,wt=34): 4321 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3958(a,1),4012(a,1,2,1))]. given #4072 (H,wt=34): 4322 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3955(a,1),4321(a,1,2))]. given #4073 (H,wt=26): 4323 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(754,a,4322,a)]. given #4074 (H,wt=15): 4324 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(255,a,3940,a(flip),b,4323,a(flip))]. given #4075 (H,wt=13): 4326 a(1 / x,y,z) = a(x \ 1,y,z). [para(691(a,1),4324(a,1,1)),flip(a)]. given #4076 (H,wt=35): 4014 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3958(a,1),431(a,1,2,2))]. given #4077 (H,wt=35): 4097 (((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(4085(a,1),1145(a,1,1,2,2)),flip(a)]. given #4078 (H,wt=33): 4327 ((x * (y * T(y \ T(z,x),y))) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(2471(a,1),4097(a,1,1))]. given #4079 (H,wt=31): 4328 ((x * ((y \ T(z,x)) * y)) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(127(a,1),4327(a,1,1,1,2))]. given #4080 (H,wt=29): 4329 ((x * ((y \ T(z,x)) * y)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(4085(a,1),4328(a,1,2))]. given #4081 (H,wt=36): 4064 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(4063(a,2),3745(a,1,1))]. given #4082 (H,wt=31): 4330 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(230,a,4064,a),flip(a)]. given #4083 (H,wt=27): 4332 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(255,a,4208,a(flip),b,4330,a(flip))]. given #4084 (H,wt=23): 4333 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(4170(a,1),4332(a,1,1)),flip(a)]. given #4085 (H,wt=23): 4334 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3371(a,1),4333(a,1,2,1,2)),flip(a)]. given #4086 (H,wt=19): 4335 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3371(a,1),4334(a,1,1)),flip(a)]. given #4087 (H,wt=19): 4336 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(18(a,1),4335(a,1,2,2)),flip(a)]. given #4088 (H,wt=15): 4337 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(18(a,1),4336(a,1,2)),flip(a)]. given #4089 (H,wt=10): 4338 L(x,y \ T(y,z),y) = x. [hyper(672,a,4337,a)]. given #4090 (H,wt=10): 4347 L(x,y,y \ T(y,z)) = x. [hyper(3466,a,4338,a)]. given #4091 (H,wt=12): 4353 L(x,T(y,T(z,y)) \ y,z) = x. [para(4087(a,2),4338(a,1,2))]. given #4092 (H,wt=12): 4356 L(x,y,T(z,T(y,z)) \ z) = x. [para(4087(a,2),4347(a,1,3))]. given #4093 (H,wt=14): 4357 L(x,T(y,z) \ y,(y * z) / y) = x. [para(166(a,1),4353(a,1,2,1,2))]. given #4094 (H,wt=15): 4340 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(96,a,4337,a)]. given #4095 (H,wt=10): 4360 R(x,x \ T(x,y),z) = x. [hyper(680,a,4340,a)]. given #4096 (H,wt=12): 4361 R(x,x \ (K(y,x) \ x),z) = x. [para(4106(a,1),4360(a,1,2,2))]. given #4097 (H,wt=10): 4362 R(x,K(y,x) \ 1,z) = x. [para(3683(a,1),4361(a,1,2))]. given #4098 (H,wt=15): 4341 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(22,a,1078,a,b,4337,a)]. given #4099 (H,wt=15): 4342 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(22,a,4155,a(flip),b,4337,a)]. given #4100 (H,wt=15): 4343 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(22,a,1074,a(flip),b,4337,a)]. given #4101 (H,wt=15): 4351 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(80,a,4338,a(flip),b,3571,a)]. given #4102 (H,wt=15): 4366 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(96,a,4343,a)]. given #4103 (H,wt=14): 4372 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(3254,a,4366,a)]. given #4104 (H,wt=15): 4367 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [hyper(87,a,4343,a)]. given #4105 (H,wt=16): 4365 T(x,y) * (x \ 1) != z | x \ T(x,y) = z. [para(4341(a,1),91(a,1)),flip(b)]. given #4106 (H,wt=17): 4345 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(4077(a,2),4337(a,1,2,1))]. given #4107 (H,wt=13): 4377 (T(x,y) \ x) * (x * y) = y * x. [hyper(22,a,4135,a(flip),b,4345,a)]. given #4108 (H,wt=13): 4378 K(x,y) = T(T(y,x) \ y,y * x). [hyper(172,a,4377,a,b,104,a),flip(a)]. given #4109 (H,wt=13): 4379 (x * y) / (y * x) = T(y,x) \ y. [hyper(96,a,4377,a)]. given #4110 (H,wt=15): 4380 T(x,y / x) \ x = y / (x * (y / x)). [hyper(81,a,21,a(flip),b,4377,a),flip(a)]. given #4111 (H,wt=15): 4383 T(T(x,x \ y) \ x,y) = K(x \ y,x). [para(19(a,1),4378(a,2,2)),flip(a)]. given #4112 (H,wt=15): 4385 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(4379(a,2),2710(a,1,2,1)),flip(a)]. given #4113 (H,wt=13): 4387 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(255,a,4266,a(flip),b,4385,a),flip(a)]. given #4114 (H,wt=15): 4386 T(x \ (y / (y / x)),y) = K(x \ y,x). [para(4201(a,1),4383(a,1,1))]. given #4115 (H,wt=15): 4388 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(2044(a,1),4387(a,1,2))]. given #4116 (H,wt=16): 4381 (x * y) / (y * x) != z | T(y,x) \ y = z. [para(4377(a,1),304(a,1,1)),flip(b)]. given #4117 (H,wt=17): 4359 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(80,a,4357,a(flip),b,4280,a),flip(a)]. given #4118 (H,wt=17): 4384 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(21(a,1),4379(a,1,2)),flip(a)]. given #4119 (H,wt=15): 4390 (x * (y / x)) / y = (x \ y) \ (y / x). [para(129(a,1),4384(a,1,1)),flip(a)]. given #4120 (H,wt=15): 4391 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(255,a,4151,a(flip),b,4390,a)]. given #4121 (H,wt=17): 4389 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(4359(a,1),19(a,1,2))]. given #4122 (H,wt=18): 4368 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(4343(a,1),222(a,1,2)),flip(b)]. given #4123 (H,wt=18): 4369 (x \ T(x,y)) \ (x \ z) != u | T(x,y) \ z = u. [para(4351(a,2),1106(a,1))]. given #4124 (H,wt=18): 4394 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(19(a,1),4368(a,1,2))]. given #4125 (H,wt=19): 4373 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(4366(a,1),4268(a,1,1)),flip(a)]. given #4126 (H,wt=10): 4395 R(K(x,y),x,z) = K(x,y). [hyper(255,a,4161,a,b,4373,a)]. given #4127 (H,wt=15): 4397 (K(x,y) * x) * z = K(x,y) * (x * z). [para(4395(a,1),122(a,1,1)),flip(a)]. given #4128 (H,wt=8): 4398 L(x,y,K(y,z)) = x. [hyper(422,a,4397,a)]. given #4129 (H,wt=19): 4375 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(255,a,3490,a(flip),b,4372,a(flip)),flip(a)]. given #4130 (H,wt=19): 4392 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(255,a,4204,a(flip),b,4391,a(flip))]. given #4131 (H,wt=17): 4408 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(4392(a,1),3251(a,1,1))]. given #4132 (H,wt=13): 4409 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(3241,a,4408,a),flip(a)]. given #4133 (H,wt=13): 4411 T(x,(x / y) \ 1) = T(x,x \ y). [para(73(a,1),4409(a,1,2,2)),flip(a)]. given #4134 (H,wt=15): 4412 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(4409(a,1),169(a,1,2))]. given #4135 (H,wt=15): 4413 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(4409(a,1),199(a,1,2))]. given #4136 (H,wt=15): 4417 (x / y) \ T(x,x \ y) = x * (y / x). [para(4411(a,1),4187(a,1,2))]. given #4137 (H,wt=17): 4410 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(18(a,1),4409(a,1,2,2))]. given #4138 (H,wt=15): 4422 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(255,a,128,a(flip),b,4410,a(flip))]. given #4139 (H,wt=15): 4423 x / T(y * x,y \ 1) = (y * x) \ x. [para(4410(a,1),199(a,1,2))]. given #4140 (H,wt=17): 4418 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(73(a,1),4412(a,1,2,2))]. given #4141 (H,wt=17): 4419 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(3371(a,1),4413(a,1,2))]. given #4142 (H,wt=17): 4420 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(20(a,1),4417(a,2,2))]. given #4143 (H,wt=15): 4426 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(37(a,2),4420(a,1,2,2))]. given #4144 (H,wt=17): 4424 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(255,a,3371,a(flip),b,4422,a(flip)),flip(a)]. given #4145 (H,wt=19): 4415 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4409(a,1),4201(a,1,1)),flip(a)]. given #4146 (H,wt=19): 4416 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4409(a,1),4185(a,1,1))]. given #4147 (H,wt=20): 4376 (x \ 1) * T((x \ 1) \ 1,y) != z | x \ T(x,y) = z. [para(398(a,2),4365(a,1))]. given #4148 (H,wt=20): 4382 (x * y) * z != y * x | T(T(x,y) \ x,x * y) = z. [para(4377(a,1),173(a,2))]. given #4149 (H,wt=20): 4425 (x \ ((1 / y) \ x)) * z != (1 / y) \ x | T(x,y) = z. [para(4418(a,1),24(a,1)),flip(a)]. given #4150 (H,wt=21): 4358 (T(x,T(y,x)) \ x) \ (z * T(y,x)) = y * T(z,T(y,x)). [para(4356(a,1),4302(a,1,2,1))]. given #4151 (H,wt=21): 4406 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1291,a,4375,a),flip(a)]. given #4152 (H,wt=19): 4428 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(255,a,4076,a(flip),b,4406,a(flip)),flip(a)]. given #4153 (H,wt=15): 4430 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(255,a,4415,a(flip),b,4428,a(flip)),flip(a)]. given #4154 (H,wt=15): 4431 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(255,a,1200,a,b,4430,a),flip(a)]. given #4155 (H,wt=15): 4432 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(255,a,924,a(flip),b,4430,a)]. given #4156 (H,wt=11): 4439 T(x,y) \ x = y \ T(y,x). [para(3371(a,1),4432(a,1,1))]. given #4157 (H,wt=11): 4441 T(x,y) * (y \ T(y,x)) = x. [para(4439(a,1),19(a,1,2))]. given #4158 (H,wt=9): 4446 T(x,T(y,x)) = T(x,y). [hyper(4102,a,4441,a)]. given #4159 (H,wt=11): 4448 T(x,y) * T(y,x) = x * y. [para(4441(a,1),4160(a,1,1)),flip(a)]. given #4160 (H,wt=11): 4449 T(x,y) \ (x * y) = T(y,x). [hyper(1129,a,4446,a)]. given #4161 (H,wt=11): 4452 (x / T(y,x)) * y = T(x,y). [hyper(255,a,4130,a,b,4446,a(flip)),flip(a)]. given #4162 (H,wt=11): 4456 T(x,y) / y = x / T(y,x). [hyper(81,a,4446,a(flip),b,4130,a)]. given #4163 (H,wt=11): 4457 T(x,y) / (T(y,x) \ x) = y. [hyper(81,a,4446,a(flip),b,1100,a)]. given #4164 (H,wt=11): 4458 T(x,y) \ y = x \ T(y,x). [hyper(80,a,4446,a(flip),b,1100,a),flip(a)]. given #4165 (H,wt=11): 4463 T(x,y / x) = T(x,x \ y). [para(129(a,1),4446(a,1,2)),flip(a)]. given #4166 (H,wt=11): 4473 T(x * (T(x,y) \ x),y) = x. [para(4446(a,1),4114(a,1,1,2,1))]. given #4167 (H,wt=9): 4505 L(R(x,y,x),y,x) = x. [hyper(255,a,4221,a(flip),b,4473,a(flip)),flip(a)]. given #4168 (H,wt=9): 4509 R(L(x,y,x),y,x) = x. [hyper(255,a,49,a,b,4505,a(flip)),flip(a)]. given #4169 (H,wt=11): 4474 K(T(x,y),T(y,x)) = K(x,y). [para(4446(a,1),4195(a,1,1))]. given #4170 (H,wt=11): 4477 T(x,y) * (x \ T(y,x)) = y. [hyper(1099,a,4448,a)]. given #4171 (H,wt=11): 4479 (x * y) / T(y,x) = T(x,y). [hyper(96,a,4448,a)]. given #4172 (H,wt=11): 4489 (T(x,y) / y) \ x = T(y,x). [para(4456(a,2),73(a,1,1))]. given #4173 (H,wt=11): 4498 x / T(y,x / y) = y \ x. [para(4463(a,2),199(a,1,2))]. given #4174 (H,wt=11): 4503 T(x,T(y,x / y)) = T(x,y). [para(4463(a,2),4138(a,1,2))]. given #4175 (H,wt=11): 4506 T(x / (x / y),y \ x) = y. [para(4202(a,2),4473(a,1,1))]. given #4176 (H,wt=12): 4451 R(T(x,x * y),y,x) = T(x,y). [hyper(255,a,4197,a,b,4446,a(flip)),flip(a)]. given #4177 (H,wt=13): 4442 (x * y) / x = y * (T(y,x) \ y). [para(4439(a,2),4070(a,1,2)),flip(a)]. given #4178 (H,wt=13): 4445 K(x,y) = T(x \ T(x,y),y * x). [para(4439(a,1),4378(a,2,1))]. given #4179 (H,wt=13): 4450 T(x,x \ y) \ y = T(x \ y,x). [hyper(1128,a,4446,a)]. given #4180 (H,wt=13): 4454 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(255,a,4388,a(flip),b,4446,a(flip))]. given #4181 (H,wt=13): 4455 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(255,a,278,a(flip),b,4446,a(flip))]. given #4182 (H,wt=13): 4459 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(4446(a,1),43(a,1,1)),flip(a)]. given #4183 (H,wt=13): 4460 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(43(a,1),4446(a,1,2))]. given #4184 (H,wt=13): 4476 (x / (y * x)) \ T(x,y) = x * y. [para(4446(a,1),4426(a,1,2))]. given #4185 (H,wt=13): 4518 x / T(y \ x,y) = (y \ x) \ x. [para(70(a,1),4498(a,1,2,2))]. given #4186 (H,wt=13): 4519 T(x * y,T(y,x)) = T(x * y,y). [para(20(a,1),4503(a,1,2,2))]. given #4187 (H,wt=13): 4522 T(x / (x / (x / y)),y) = x / y. [para(73(a,1),4506(a,1,2))]. given #4188 (H,wt=13): 4532 T(x,(1 / x) * y) = T(x,x \ y). [hyper(255,a,3065,a,b,4454,a(flip)),flip(a)]. given #4189 (H,wt=13): 4538 T(x,y) / (x * y) = x / (y * x). [para(4476(a,1),70(a,1,2))]. given #4190 (H,wt=13): 4542 x / T(y,(1 / y) * x) = y \ x. [para(4532(a,2),199(a,1,2))]. given #4191 (H,wt=14): 4447 T(x,y) \ x != z | y \ T(y,x) = z. [para(4441(a,1),222(a,1,2)),flip(b)]. given #4192 (H,wt=14): 4467 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(543(a,1),4446(a,1,2))]. given #4193 (H,wt=14): 4488 T(x,y) != z * y | x / T(y,x) = z. [para(4452(a,1),25(a,1))]. given #4194 (H,wt=14): 4496 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(255,a,721,a,b,4463,a(flip)),flip(a)]. given #4195 (H,wt=14): 4510 (L(x,y,x) * y) * x = x * (y * x). [para(4505(a,1),460(a,1,1)),flip(a)]. given #4196 (H,wt=12): 4546 T(L(x,y,x) * y,x) = y * x. [hyper(172,a,4510,a,b,xx)]. given #4197 (H,wt=14): 4511 (x * (y * x)) / x = L(x,y,x) * y. [para(4509(a,1),252(a,1,1,1))]. given #4198 (H,wt=12): 4549 T((x * y) / x,L(x,y,x)) = y. [hyper(1848,a,4511,a)]. given #4199 (H,wt=10): 4552 T(x,L(y,x,y)) = T(x,y). [para(4549(a,1),202(a,1,1)),flip(a)]. given #4200 (H,wt=11): 4553 T(x,T(y,y * x)) = T(x,y). [hyper(255,a,4467,a,b,4552,a(flip)),flip(a)]. given #4201 (H,wt=14): 4517 x / T(y,x) != z | T(x,y) / y = z. [para(4489(a,1),303(a,1,2)),flip(b)]. given #4202 (H,wt=14): 4525 R(T(x,y),x \ y,x) = T(x,x \ y). [para(19(a,1),4451(a,1,1,2))]. given #4203 (H,wt=14): 4543 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(255,a,163,a,b,4538,a)]. given #4204 (H,wt=14): 4547 x * T(y,x * y) = L(y,x,y) * x. [hyper(23,a,885,a,b,4510,a),flip(a)]. given #4205 (H,wt=11): 4563 T(x,y * x) = T(x,x * y). [hyper(22,a,547,a,b,4547,a)]. given #4206 (H,wt=11): 4564 T(x,(x \ y) * x) = T(x,y). [hyper(22,a,559,a(flip),b,4547,a)]. given #4207 (H,wt=11): 4567 T(x,x * (y / x)) = T(x,y). [para(21(a,1),4563(a,1,2)),flip(a)]. given #4208 (H,wt=13): 4566 T(x,x * (1 / y)) = T(x,y \ x). [hyper(255,a,4149,a(flip),b,4563,a(flip))]. given #4209 (H,wt=14): 4548 T(x,L(x,y,x) * y) = T(x,y * x). [para(4546(a,1),4446(a,1,2)),flip(a)]. given #4210 (H,wt=14): 4550 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(80,a,4511,a,b,xx)]. given #4211 (H,wt=14): 4560 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(255,a,128,a(flip),b,4525,a)]. given #4212 (H,wt=14): 4574 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(255,a,4563,a(flip),b,4548,a)]. given #4213 (H,wt=15): 4438 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4431(a,2),3134(a,1,1))]. given #4214 (H,wt=15): 4440 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(255,a,4076,a(flip),b,4439,a)]. given #4215 (H,wt=15): 4443 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4439(a,2),4337(a,1,2,1))]. given #4216 (H,wt=15): 4444 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4439(a,2),4341(a,1,1)),flip(a)]. given #4217 (H,wt=15): 4461 T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). [para(4446(a,1),45(a,1,1)),flip(a)]. given #4218 (H,wt=15): 4462 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(45(a,2),4446(a,1,2))]. given #4219 (H,wt=15): 4478 T(x,y) \ (y * x) = T(T(y,x),T(x,y)). [hyper(172,a,4448,a,b,19,a),flip(a)]. given #4220 (H,wt=13): 4583 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(255,a,4459,a(flip),b,4478,a)]. given #4221 (H,wt=13): 4584 T(x,y) * T(T(y,x),x) = y * x. [para(4583(a,1),19(a,1,2))]. given #4222 (H,wt=13): 4586 (x * y) / T(T(x,y),y) = T(y,x). [para(4583(a,1),70(a,1,2))]. given #4223 (H,wt=15): 4490 T(x * (y / x),x) = x * (y / T(x,y)). [para(4456(a,1),1688(a,2,2))]. given #4224 (H,wt=15): 4497 (x * (y / x)) / T(x,x \ y) = y / x. [para(4463(a,1),144(a,1,2))]. given #4225 (H,wt=15): 4501 (x * (y / x)) * x = y * T(x,x \ y). [para(4463(a,1),731(a,2,2))]. given #4226 (H,wt=15): 4508 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(255,a,4222,a,b,4505,a(flip)),flip(a)]. given #4227 (H,wt=13): 4589 T(x,x \ T(x * y,y)) = T(x,y). [para(4508(a,1),4140(a,1,2)),flip(a)]. given #4228 (H,wt=13): 4590 K(x,x \ T(x * y,y)) = K(x,y). [para(4508(a,1),4242(a,1,2)),flip(a)]. given #4229 (H,wt=15): 4523 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(4506(a,1),127(a,1,2)),flip(a)]. given #4230 (H,wt=15): 4524 ((x \ y) * x) / (x \ y) = y / (y / x). [para(4506(a,1),167(a,1,1,2))]. given #4231 (H,wt=14): 4593 T(x / (x / y),x) = L(y,y \ x,y). [para(4524(a,1),621(a,1,1))]. given #4232 (H,wt=15): 4526 ((x * y) / x) \ x = y \ ((y * x) / y). [para(4442(a,2),4225(a,1,1))]. given #4233 (H,wt=15): 4540 (x * (y / x)) / x = y / (y / (y / x)). [para(4522(a,1),167(a,1,1,2))]. given #4234 (H,wt=15): 4544 T(x,x \ y) / y = x / ((x \ y) * x). [para(19(a,1),4538(a,1,2))]. given #4235 (H,wt=15): 4545 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(70(a,1),4542(a,1,2,2,1))]. given #4236 (H,wt=15): 4554 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(4552(a,1),127(a,1,2))]. given #4237 (H,wt=15): 4561 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(611,a,4543,a)]. given #4238 (H,wt=15): 4568 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4563(a,1),43(a,1,1))]. given #4239 (H,wt=15): 4569 T(T(x,y * x),z) = T(T(x,z),x * y). [para(4563(a,2),43(a,1,1))]. given #4240 (H,wt=15): 4570 T(T(x,y),(x \ z) * x) = T(T(x,z),y). [para(4564(a,1),43(a,1,1)),flip(a)]. given #4241 (H,wt=15): 4579 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(70(a,1),4438(a,1,1,1,2)),flip(a)]. given #4242 (H,wt=15): 4580 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(255,a,4380,a(flip),b,4440,a(flip)),flip(a)]. given #4243 (H,wt=15): 4592 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(255,a,1367,a,b,4523,a(flip)),flip(a)]. given #4244 (H,wt=15): 4599 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [para(4545(a,1),73(a,1,1)),flip(a)]. given #4245 (H,wt=15): 4602 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(255,a,43,a,b,4568,a(flip))]. given #4246 (H,wt=15): 4603 K(x \ y,x) \ x = x * K(x,y / x). [hyper(4166,a,4579,a),flip(a)]. given #4247 (H,wt=13): 4605 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3685,a,4603,a)]. given #4248 (H,wt=13): 4606 K(x,(x * y) / x) = K(y,x) \ 1. [para(18(a,1),4605(a,1,1,1)),flip(a)]. given #4249 (H,wt=11): 4607 K(T(x,y),y) \ 1 = K(y,x). [para(167(a,1),4606(a,1,2)),flip(a)]. given #4250 (H,wt=8): 4610 R(x,K(x,y),z) = x. [para(4607(a,1),4362(a,1,2))]. given #4251 (H,wt=11): 4609 K(T(x,y),y) * K(y,x) = 1. [para(4607(a,1),19(a,1,2))]. given #4252 (H,wt=12): 4611 R(T(x,y),K(x,z),u) = T(x,y). [para(4610(a,1),47(a,2,1))]. given #4253 (H,wt=14): 4614 K(T(x,y),y) * z != 1 | K(y,x) = z. [para(4609(a,1),24(a,1)),flip(a)]. given #4254 (H,wt=14): 4615 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4609(a,1),222(a,1,2)),flip(b)]. given #4255 (H,wt=15): 4604 ((x \ y) * x) * (y / x) = y * (x \ y). [para(4592(a,1),21(a,1,1))]. given #4256 (H,wt=16): 4475 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(4446(a,1),4198(a,1,2)),flip(a)]. given #4257 (H,wt=11): 4618 R(x,y,T(x,y)) = R(x,y,x). [hyper(23,a,462,a,b,4475,a),flip(a)]. given #4258 (H,wt=12): 4620 x \ T(y * x,y) = R(y,x,y). [hyper(255,a,986,a,b,4618,a(flip)),flip(a)]. given #4259 (H,wt=12): 4621 x * R(y,x,y) = T(y * x,y). [para(4618(a,1),987(a,1,2))]. given #4260 (H,wt=14): 4624 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(19(a,1),4620(a,1,2,1)),flip(a)]. given #4261 (H,wt=15): 4623 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(4446(a,1),4618(a,1,3))]. given #4262 (H,wt=15): 4626 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4621(a,1),222(a,1,2)),flip(b)]. given #4263 (H,wt=16): 4578 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4574(a,1),1356(a,1,1))]. given #4264 (H,wt=16): 4591 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(255,a,4213,a,b,4590,a(flip))]. given #4265 (H,wt=15): 4628 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4621(a,1),4591(a,2,1))]. given #4266 (H,wt=13): 4629 K(x \ T(x * y,x),x) = K(y,x). [hyper(255,a,1695,a(flip),b,4628,a),flip(a)]. given #4267 (H,wt=13): 4630 K(x \ T(y,x),x) = K(x \ y,x). [para(19(a,1),4629(a,1,1,2,1))]. given #4268 (H,wt=15): 4631 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(166(a,1),4630(a,1,1,2)),flip(a)]. given #4269 (H,wt=15): 4632 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(4526(a,2),4631(a,1,1))]. given #4270 (H,wt=17): 4465 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(4446(a,1),182(a,1,2,1))]. given #4271 (H,wt=17): 4491 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). [para(43(a,1),4457(a,1,2,1))]. given #4272 (H,wt=17): 4530 (x \ T(x,x \ y)) \ y = x * T(x \ y,x). [para(4450(a,1),4351(a,2,2))]. given #4273 (H,wt=15): 4636 (x \ T(x,x \ y)) \ y = (x \ y) * x. [hyper(255,a,127,a(flip),b,4530,a)]. given #4274 (H,wt=15): 4637 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(128(a,1),4636(a,1,1,2))]. given #4275 (H,wt=15): 4638 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(4637(a,1),70(a,1,2))]. given #4276 (H,wt=15): 4639 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(255,a,4391,a,b,4638,a),flip(a)]. given #4277 (H,wt=17): 4537 T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). [para(4446(a,1),4460(a,1,2)),flip(a)]. given #4278 (H,wt=15): 4640 T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). [hyper(255,a,4460,a(flip),b,4537,a)]. given #4279 (H,wt=17): 4575 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(559(a,1),4548(a,1,2))]. given #4280 (H,wt=13): 4641 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(255,a,4564,a(flip),b,4575,a)]. given #4281 (H,wt=16): 4642 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4641(a,1),1355(a,1,1))]. given #4282 (H,wt=17): 4581 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(22,a,1130,a,b,4443,a)]. given #4283 (H,wt=17): 4582 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(255,a,4389,a,b,4444,a),flip(a)]. given #4284 (H,wt=17): 4596 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(4593(a,2),418(a,1,2))]. given #4285 (H,wt=17): 4601 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(129(a,1),4561(a,1,3)),flip(a)]. given #4286 (H,wt=17): 4633 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4632(a,1),4279(a,1,2)),flip(a)]. given #4287 (H,wt=9): 4648 T(x,(y \ x) * y) = x. [hyper(4250,a,4633,a)]. given #4288 (H,wt=13): 4649 T((x \ y) * x,y) = (x \ y) * x. [hyper(40,a,4648,a)]. given #4289 (H,wt=13): 4650 T(x * (y / x),y) = x * (y / x). [para(75(a,1),4648(a,1,2))]. given #4290 (H,wt=17): 4634 T(x,y) * T(T(y,z),x) = T(y,z) * T(x,y). [para(43(a,1),4465(a,1,2))]. given #4291 (H,wt=17): 4644 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(255,a,1604,a,b,4582,a(flip)),flip(a)]. given #4292 (H,wt=17): 4651 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4650(a,2),4639(a,1,1))]. given #4293 (H,wt=18): 4435 T(x,y \ 1) \ x != z | K(x \ (x / y),x) = z. [para(4430(a,2),1202(a,1))]. given #4294 (H,wt=18): 4483 T(x,y) * z != y * x | T(T(y,x),T(x,y)) = z. [para(4448(a,1),173(a,2))]. given #4295 (H,wt=18): 4502 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(4463(a,1),816(a,1,2,2))]. given #4296 (H,wt=18): 4555 L(x,y,x) * T(y,x) != z | y * L(x,y,x) = z. [para(4552(a,1),225(a,1,2))]. given #4297 (H,wt=18): 4577 R(T(T(x,y),z),x \ y,x) = T((x \ y) \ y,z). [para(4560(a,1),47(a,2,1))]. given #4298 (H,wt=18): 4594 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(4593(a,2),45(a,2,1)),flip(a)]. given #4299 (H,wt=18): 4595 L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). [para(70(a,1),4593(a,1,1,2)),flip(a)]. given #4300 (H,wt=18): 4600 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(4554(a,1),25(a,1)),flip(a)]. given #4301 (H,wt=18): 4622 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4618(a,1),1961(a,1,2)),flip(a)]. given #4302 (H,wt=18): 4647 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(4601(a,1),354(a,1,1))]. given #4303 (H,wt=15): 4656 ((x \ y) / y) * (x * (y / x)) = y / x. [para(4647(a,1),713(a,1,2))]. given #4304 (H,wt=19): 4429 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(4406(a,1),4103(a,1,1)),flip(a)]. given #4305 (H,wt=17): 4657 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(255,a,4111,a(flip),b,4429,a)]. given #4306 (H,wt=15): 4658 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(255,a,4446,a(flip),b,4657,a(flip))]. given #4307 (H,wt=13): 4659 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(255,a,4446,a(flip),b,4658,a(flip))]. given #4308 (H,wt=13): 4660 T(x,y / (z * y)) = T(x,z \ 1). [para(18(a,1),4659(a,1,2,1))]. given #4309 (H,wt=13): 4661 T(x,(y / z) \ 1) = T(x,z / y). [para(73(a,1),4659(a,1,2,1)),flip(a)]. given #4310 (H,wt=19): 4436 T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). [para(4430(a,2),1646(a,1,1))]. given #4311 (H,wt=19): 4437 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(4430(a,2),3227(a,2,2)),flip(a)]. given #4312 (H,wt=19): 4468 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(4446(a,1),183(a,1,2,1))]. given #4313 (H,wt=18): 4666 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(542(a,1),4468(a,1,2))]. given #4314 (H,wt=16): 4667 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(255,a,4554,a(flip),b,4666,a)]. given #4315 (H,wt=16): 4669 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4563(a,2),4667(a,1,2))]. given #4316 (H,wt=17): 4670 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(255,a,561,a,b,4669,a(flip)),flip(a)]. given #4317 (H,wt=11): 4672 L(x,T(y,x),x) = L(x,y,x). [hyper(4600,a,4670,a),flip(a)]. given #4318 (H,wt=19): 4469 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4446(a,1),184(a,1,2,1))]. given #4319 (H,wt=19): 4512 x * (y * x) != x * z | T(L(x,y,x) * y,x) = z. [para(4509(a,1),469(a,1,1))]. given #4320 (H,wt=19): 4527 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(255,a,4236,a,b,4445,a),flip(a)]. given #4321 (H,wt=17): 4678 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4454(a,1),4527(a,1,2,2,1))]. given #4322 (H,wt=17): 4679 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4678(a,1),19(a,1,2)),flip(a)]. given #4323 (H,wt=13): 4680 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(4237,a,4679,a)]. given #4324 (H,wt=17): 4681 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(255,a,4255,a,b,4680,a(flip)),flip(a)]. given #4325 (H,wt=13): 4682 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(255,a,3702,a(flip),b,4681,a)]. given #4326 (H,wt=13): 4683 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(255,a,3723,a,b,4682,a(flip)),flip(a)]. given #4327 (H,wt=13): 4684 K((1 / x) * y,x) = K(x \ y,x). [para(18(a,1),4683(a,1,1,2)),flip(a)]. given #4328 (H,wt=15): 4685 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(37(a,2),4684(a,2,1))]. given #4329 (H,wt=17): 4686 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(70(a,1),4684(a,1,1,1)),flip(a)]. given #4330 (H,wt=17): 4687 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(856(a,1),4685(a,1,1))]. given #4331 (H,wt=17): 4688 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(255,a,3724,a(flip),b,4687,a(flip)),flip(a)]. given #4332 (H,wt=17): 4689 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4688(a,1),4607(a,1,1))]. given #4333 (H,wt=13): 4690 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4615,a,4689,a),flip(a)]. given #4334 (H,wt=13): 4692 K(x,x \ ((x \ 1) \ y)) = K(x,y). [para(19(a,1),4690(a,1,2)),flip(a)]. given #4335 (H,wt=17): 4691 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [hyper(255,a,3550,a(flip),b,4690,a(flip))]. given #4336 (H,wt=19): 4536 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(45(a,2),4459(a,1,2))]. given #4337 (H,wt=19): 4572 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(4564(a,1),4452(a,1,1,2))]. given #4338 (H,wt=15): 4694 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(23,a,1676,a(flip),b,4572,a)]. given #4339 (H,wt=15): 4695 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [para(4694(a,1),21(a,1,1))]. given #4340 (H,wt=18): 4696 (x \ T(y,x)) * T(x,y) != z * x | x \ y = z. [para(4695(a,2),25(a,1))]. given #4341 (H,wt=19): 4573 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4567(a,1),4477(a,1,1))]. given #4342 (H,wt=15): 4697 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1684(a,1),4573(a,1,2))]. given #4343 (H,wt=15): 4698 T(x,y) * (y / T(x,y)) = x * (y / x). [para(4456(a,1),4697(a,1,2))]. given #4344 (H,wt=18): 4699 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4698(a,1),24(a,1)),flip(a)]. given #4345 (H,wt=19): 4598 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(4409(a,1),4544(a,1,1))]. given #4346 (H,wt=19): 4617 (x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y). [para(73(a,1),4604(a,1,1,1))]. given #4347 (H,wt=15): 4701 (x * (y / x)) * (y / (y / x)) = y * x. [para(73(a,1),4617(a,2,2))]. given #4348 (H,wt=19): 4619 (x * y) * T(x,y) != z * (x * y) | R(x,y,x) = z. [para(4475(a,1),25(a,1))]. given #4349 (H,wt=19): 4625 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4620(a,1),114(a,1,1)),flip(a)]. given #4350 (H,wt=19): 4668 T(x,y) * T(y,y * x) != x * z | L(y,x,y) = z. [para(4667(a,2),24(a,1))]. given #4351 (H,wt=19): 4671 T(x,y) * T(y,x * y) != x * z | L(y,x,y) = z. [para(4669(a,2),24(a,1))]. given #4352 (H,wt=19): 4700 (T(x,y \ 1) / (y \ x)) \ x = (x \ (y \ x)) * x. [para(4598(a,2),73(a,1,1))]. given #4353 (H,wt=19): 4702 (x * y) * ((y * x) / ((y * x) / x)) = (y * x) * x. [para(20(a,1),4701(a,1,1,2))]. given #4354 (H,wt=15): 4704 (x * y) * ((y * x) / y) = (y * x) * x. [para(20(a,1),4702(a,1,2,2))]. given #4355 (H,wt=19): 4705 x * (((y \ x) * y) / (y \ x)) = ((y \ x) * y) * y. [hyper(519,a,4704,a)]. given #4356 (H,wt=15): 4706 ((x \ y) * x) * x = y * (y / (y / x)). [para(4524(a,1),4705(a,1,2)),flip(a)]. given #4357 (H,wt=20): 4470 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(4446(a,1),361(a,1,2,1))]. given #4358 (H,wt=20): 4515 (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). [para(47(a,2),4479(a,1,2))]. given #4359 (H,wt=20): 4528 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(255,a,4211,a(flip),b,4450,a)]. given #4360 (H,wt=14): 4709 T(x,y) \ T(x * y,y) = R(y,x,y). [para(4589(a,1),4528(a,1,1))]. given #4361 (H,wt=16): 4710 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(37(a,1),4709(a,1,1))]. given #4362 (H,wt=20): 4551 (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. [para(4511(a,2),865(a,1))]. given #4363 (H,wt=20): 4571 ((x \ y) * x) * T(x,y) != z | x * ((x \ y) * x) = z. [para(4564(a,1),225(a,1,2))]. given #4364 (H,wt=20): 4597 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(4540(a,1),808(a,1,1))]. given #4365 (H,wt=20): 4645 T(x,y) * (x \ z) != x * u | ((y * x) / y) \ z = u. [para(4582(a,1),24(a,1))]. given #4366 (H,wt=20): 4646 x * ((x \ y) * x) != y * z | T(y / (y / x),y) = z. [para(4596(a,1),24(a,1))]. given #4367 (H,wt=20): 4674 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4451(a,1),4469(a,1,2)),flip(a)]. given #4368 (H,wt=19): 4711 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(255,a,4622,a(flip),b,4674,a)]. given #4369 (H,wt=20): 4675 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4496(a,1),4469(a,1,2)),flip(a)]. given #4370 (H,wt=20): 4676 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4525(a,1),4469(a,1,2)),flip(a)]. given #4371 (H,wt=13): 4714 R(x,y / x,x) = R(x,x \ y,x). [hyper(23,a,4675,a,b,4676,a),flip(a)]. given #4372 (H,wt=13): 4716 R(x,(x * y) / x,x) = R(x,y,x). [para(18(a,1),4714(a,2,2))]. given #4373 (H,wt=11): 4717 R(x,T(y,x),x) = R(x,y,x). [para(167(a,1),4716(a,1,2)),flip(a)]. given #4374 (H,wt=13): 4718 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(255,a,4623,a,b,4717,a(flip)),flip(a)]. given #4375 (H,wt=19): 4719 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4718(a,1),51(a,1,1)),flip(a)]. given #4376 (H,wt=21): 4576 L(x,y,x) * y != z * u | z \ ((x * (y * x)) / x) = u. [para(4550(a,1),368(a,1,2))]. given #4377 (H,wt=21): 4587 (x \ y) * T(y,y \ (x \ y)) = (x \ T(y,x \ 1)) * y. [para(4178(a,2),4501(a,1,1)),flip(a)]. given #4378 (H,wt=19): 4720 (x \ T(y,x \ 1)) * y = (x \ y) * T(y,x \ 1). [para(4409(a,1),4587(a,1,2)),flip(a)]. given #4379 (H,wt=21): 4612 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4610(a,1),460(a,1,1,1)),flip(a)]. given #4380 (H,wt=11): 4721 L(x,K(y,z),L(y,u,w)) = x. [hyper(422,a,4612,a)]. given #4381 (H,wt=8): 4723 L(x,K(y,z),y) = x. [para(319(a,1),4721(a,1,3))]. given #4382 (H,wt=21): 4643 x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. [hyper(255,a,1557,a(flip),b,4581,a),flip(a)]. given #4383 (H,wt=21): 4655 T(x * y,x) * T(x,y) != (x * y) * z | R(x,y,x) = z. [para(4622(a,2),24(a,1))]. given #4384 (H,wt=21): 4703 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [para(3371(a,1),4700(a,1,1,1))]. given #4385 (H,wt=21): 4722 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3324(a,1),4612(a,1,1))]. given #4386 (H,wt=21): 4729 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(255,a,1574,a(flip),b,4643,a(flip))]. given #4387 (H,wt=22): 4485 (x * y) * L(z,T(y,x),T(x,y)) = T(x,y) * (T(y,x) * z). [para(4448(a,1),112(a,1,1))]. given #4388 (H,wt=22): 4486 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(4448(a,1),122(a,1,2))]. given #4389 (H,wt=22): 4541 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(4522(a,1),682(a,1,1))]. given #4390 (H,wt=20): 4731 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(255,a,627,a(flip),b,4541,a)]. given #4391 (H,wt=22): 4654 R(T(T(x,y),(x \ z) * x),x \ z,x) = T((x \ z) \ z,y). [para(4570(a,2),4577(a,1,1))]. given #4392 (H,wt=22): 4665 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4661(a,1),4274(a,1,1,2))]. given #4393 (H,wt=18): 4734 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(20(a,1),4665(a,1,1,2,2))]. given #4394 (H,wt=14): 4735 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(255,a,3170,a(flip),b,4734,a(flip))]. given #4395 (H,wt=17): 4736 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4735(a,1),4093(a,1,1))]. given #4396 (H,wt=18): 4737 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(4113,a,4736,a)]. given #4397 (H,wt=20): 4739 T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). [para(167(a,1),4737(a,1,3)),flip(a)]. given #4398 (H,wt=19): 4740 L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). [hyper(537,a,4739,a)]. given #4399 (H,wt=22): 4715 R(x,x \ (y \ x),x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [hyper(255,a,4189,a(flip),b,4714,a(flip))]. given #4400 (H,wt=22): 4742 R(x,x \ (y \ x),x) = ((y \ x) * T(x,y \ 1)) / (y \ x). [para(4720(a,1),4715(a,2,1))]. given #4401 (H,wt=23): 4363 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(255,a,4252,a(flip),b,4341,a(flip))]. given #4402 (H,wt=23): 4364 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(255,a,3643,a(flip),b,4341,a(flip))]. given #4403 (H,wt=21): 4744 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(3072(a,1),4364(a,1,2))]. given #4404 (H,wt=23): 4493 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(4458(a,1),2325(a,1,2,1))]. given #4405 (H,wt=23): 4504 x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. [para(4463(a,2),4215(a,1,2,1))]. given #4406 (H,wt=23): 4516 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(4479(a,1),894(a,1,1)),flip(a)]. given #4407 (H,wt=23): 4533 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(4454(a,1),4267(a,2,1,2))]. given #4408 (H,wt=19): 4747 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(255,a,4342,a(flip),b,4533,a)]. given #4409 (H,wt=23): 4556 T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). [para(4553(a,1),183(a,1,2,1))]. given #4410 (H,wt=23): 4557 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(4553(a,1),184(a,1,2,1))]. given #4411 (H,wt=23): 4565 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(255,a,47,a,b,4563,a(flip)),flip(a)]. given #4412 (H,wt=23): 4707 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(4458(a,1),4706(a,1,1,1))]. given #4413 (H,wt=19): 4748 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [para(4695(a,1),4707(a,1,1))]. given #4414 (H,wt=17): 4749 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [hyper(4571,a,4748,a),flip(a)]. given #4415 (H,wt=15): 4750 x / (x / T(y,x)) = T(x / (x / y),x). [hyper(22,a,4596,a,b,4749,a)]. given #4416 (H,wt=15): 4751 T(x / (x / y),x) \ x = x / T(y,x). [para(4750(a,1),73(a,1,1))]. given #4417 (H,wt=15): 4752 x / T(y \ x,x) = T(x / y,x) \ x. [para(70(a,1),4751(a,1,1,1,2)),flip(a)]. given #4418 (H,wt=23): 4713 T(x,y) * T(y,y \ x) != z * T(x,y) | R(y,x / y,y) = z. [para(4675(a,1),25(a,1))]. given #4419 (H,wt=23): 4733 ((x \ y) * x) * T((x \ y) \ y,z) = (T(x,z) * (x \ y)) * x. [para(4654(a,1),573(a,1,2))]. given #4420 (H,wt=23): 4743 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(4341(a,1),4363(a,2,2))]. given #4421 (H,wt=23): 4753 ((x \ y) * x) * T(T(x,x \ y),z) = (T(x,z) * (x \ y)) * x. [para(128(a,2),4733(a,1,2,1))]. given #4422 (H,wt=24): 4393 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(255,a,4094,a,b,4389,a(flip)),flip(a)]. given #4423 (H,wt=15): 4755 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4735(a,1),4393(a,1,1))]. given #4424 (H,wt=15): 4756 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(4394,a,4755,a),flip(a)]. given #4425 (H,wt=15): 4758 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(4368,a,4755,a),flip(a)]. given #4426 (H,wt=15): 4759 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [hyper(255,a,4444,a,b,4755,a)]. given #4427 (H,wt=15): 4762 T(x,y) * (x \ z) = y * (T(y,x) \ z). [hyper(255,a,4444,a,b,4756,a(flip)),flip(a)]. given #4428 (H,wt=15): 4768 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(80,a,19,a(flip),b,4758,a)]. given #4429 (H,wt=15): 4769 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(255,a,4444,a,b,4758,a(flip)),flip(a)]. given #4430 (H,wt=15): 4771 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4758(a,1),4443(a,1,2)),flip(a)]. given #4431 (H,wt=17): 4761 x \ (y * (T(y,z) \ x)) = T(T(y,z) \ y,x). [hyper(172,a,4756,a,b,19,a),flip(a)]. given #4432 (H,wt=17): 4764 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(255,a,4581,a(flip),b,4756,a(flip)),flip(a)]. given #4433 (H,wt=17): 4770 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(80,a,4758,a(flip),b,4389,a),flip(a)]. given #4434 (H,wt=17): 4772 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(80,a,4736,a(flip),b,4759,a(flip)),flip(a)]. given #4435 (H,wt=17): 4777 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(255,a,1081,a(flip),b,4772,a)]. given #4436 (H,wt=17): 4778 ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). [hyper(255,a,1603,a(flip),b,4777,a(flip)),flip(a)]. given #4437 (H,wt=18): 4774 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(255,a,112,a,b,4771,a)]. given #4438 (H,wt=13): 4780 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(22,a,4485,a,b,4774,a(flip)),flip(a)]. given #4439 (H,wt=16): 4779 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(367,a,4774,a),flip(a)]. given #4440 (H,wt=17): 4781 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(129(a,1),4780(a,1,2))]. given #4441 (H,wt=17): 4782 L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). [para(4463(a,1),4781(a,1,3))]. given #4442 (H,wt=18): 4776 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(4126,a,4770,a),flip(a)]. given #4443 (H,wt=15): 4783 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(674,a,4776,a),flip(a)]. given #4444 (H,wt=20): 4766 x * (T(x,y) \ z) != z * u | T(T(x,y) \ x,z) = u. [para(4756(a,1),173(a,2)),flip(a)]. given #4445 (H,wt=20): 4767 x \ (y * (T(y,z) \ x)) != u | T(T(y,z) \ y,x) = u. [para(4756(a,1),223(a,1,2))]. given #4446 (H,wt=21): 4763 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(255,a,4729,a(flip),b,4756,a(flip))]. given #4447 (H,wt=21): 4773 K(x \ (x / (y \ (z \ y))),x) = y \ (x * (T(x,z) \ y)). [para(4762(a,1),1561(a,2,2))]. given #4448 (H,wt=19): 4784 K(x \ (x / (y \ (z \ y))),x) = T(T(x,z) \ x,y). [hyper(255,a,4761,a(flip),b,4773,a)]. given #4449 (H,wt=19): 4785 T(x,(y \ (z \ y)) \ 1) \ x = T(T(x,z) \ x,y). [hyper(255,a,4431,a(flip),b,4784,a(flip)),flip(a)]. given #4450 (H,wt=22): 4775 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(4764(a,1),958(a,1))]. given #4451 (H,wt=24): 4481 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(4448(a,1),29(a,2,1,2)),flip(a)]. given #4452 (H,wt=24): 4482 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4448(a,1),29(a,2,2,1)),flip(a)]. given #4453 (H,wt=20): 4786 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4771(a,1),4482(a,1,1))]. given #4454 (H,wt=13): 4787 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(636,a,4786,a),flip(a)]. given #4455 (H,wt=16): 4788 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4786(a,1),636(a,1))]. given #4456 (H,wt=24): 4534 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(4455(a,1),677(a,1,1))]. given #4457 (H,wt=24): 4730 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4719(a,1),4486(a,1,1)),flip(a)]. given #4458 (H,wt=21): 4789 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(255,a,461,a(flip),b,4730,a)]. given #4459 (H,wt=18): 4790 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1318(a,1),4789(a,1,1))]. given #4460 (H,wt=17): 4791 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(255,a,4622,a(flip),b,4790,a(flip))]. given #4461 (H,wt=20): 4792 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(4791(a,1),222(a,1,2))]. given #4462 (H,wt=24): 4746 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(4516(a,2),4470(a,1))]. given #4463 (H,wt=25): 4487 T(x,y) * (T(y,x) * z) != (x * y) * u | L(z,T(y,x),T(x,y)) = u. [para(4448(a,1),422(a,1,1)),flip(a)]. given #4464 (H,wt=25): 4585 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(45(a,2),4583(a,1,1))]. given #4465 (H,wt=25): 4616 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4611(a,1),461(a,1,1,1)),flip(a)]. given #4466 (H,wt=25): 4635 T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4446(a,1),4491(a,1,2,1))]. given #4467 (H,wt=21): 4793 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4640(a,1),4635(a,1,1))]. given #4468 (H,wt=11): 4794 T(x,T(y,T(x,z))) = T(x,y). [hyper(255,a,4491,a(flip),b,4793,a(flip))]. given #4469 (H,wt=17): 4797 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(188(a,1),4794(a,1,2,2))]. given #4470 (H,wt=24): 4800 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(4797(a,1),4594(a,1,1))]. given #4471 (H,wt=25): 4653 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(4243(a,1),4651(a,1,1,1)),flip(a)]. given #4472 (H,wt=17): 4801 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4747(a,1),4653(a,1,2)),flip(a)]. given #4473 (H,wt=15): 4802 ((x \ y) * x) / y = y / (x * (y / x)). [para(4649(a,1),4801(a,1,1))]. given #4474 (H,wt=15): 4803 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(255,a,4580,a(flip),b,4802,a)]. given #4475 (H,wt=17): 4804 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(255,a,4319,a,b,4803,a(flip)),flip(a)]. given #4476 (H,wt=24): 4805 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4804(a,1),4293(a,2,2))]. given #4477 (H,wt=25): 4741 L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). [hyper(255,a,3212,a(flip),b,4740,a(flip)),flip(a)]. given #4478 (H,wt=25): 4745 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(255,a,3552,a(flip),b,4744,a(flip))]. given #4479 (H,wt=21): 4807 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3359(a,1),4745(a,1,1)),flip(a)]. given #4480 (H,wt=21): 4808 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4807(a,1),3537(a,1,2))]. given #4481 (H,wt=21): 4809 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4808(a,1),260(a,1,1)),flip(a)]. given #4482 (H,wt=25): 4754 (x * y) * T(T(y,y \ (y * x)),z) = (T(y,z) * (y \ (y * x))) * y. [para(18(a,1),4753(a,1,1,1))]. given #4483 (H,wt=21): 4810 (T(x,y) * (x \ (x * z))) * x = (z * x) * T(T(x,z),y). [para(18(a,1),4754(a,1,2,1,2)),flip(a)]. given #4484 (H,wt=17): 4811 (x * y) * T(T(y,x),z) = (T(y,z) * x) * y. [para(18(a,1),4810(a,1,1,2)),flip(a)]. given #4485 (H,wt=17): 4812 (x * y) * T(T(y,z),x) = (T(y,z) * x) * y. [para(43(a,1),4811(a,1,2))]. given #4486 (H,wt=16): 4814 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(868,a,4812,a)]. given #4487 (H,wt=25): 4806 L(x,T(y,y \ z) \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). [hyper(255,a,3214,a,b,4741,a(flip))]. given #4488 (H,wt=26): 4434 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(4430(a,2),33(a,2,1)),flip(a)]. given #4489 (H,wt=26): 4492 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(4458(a,1),101(a,1,1,2,1))]. given #4490 (H,wt=26): 4558 T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w. [para(4553(a,1),362(a,1,2,1))]. given #4491 (H,wt=26): 4559 T(x,x * y) * R(T(y,x),z,u) != w | R(y,z,u) * T(x,x * y) = w. [para(4553(a,1),363(a,1,2,1))]. given #4492 (H,wt=26): 4712 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4711(a,1),4625(a,1,2))]. given #4493 (H,wt=12): 4816 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(4792,a,4712,a)]. given #4494 (H,wt=26): 4815 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(255,a,4768,a(flip),b,4434,a(flip)),flip(a)]. given #4495 (H,wt=26): 4817 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(255,a,4743,a(flip),b,4815,a(flip)),flip(a)]. given #4496 (H,wt=16): 4818 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4769(a,1),4817(a,1,2)),flip(a)]. given #4497 (H,wt=15): 4819 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(255,a,190,a(flip),b,4818,a)]. given #4498 (H,wt=24): 4821 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(255,a,3975,a(flip),b,4819,a(flip))]. given #4499 (H,wt=27): 4494 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(4458(a,1),2115(a,1,2,1))]. given #4500 (H,wt=28): 4652 L(T(x,y),T(z,x),z / T(z,x)) * z = (z / T(z,x)) * (T(x,y) * T(z,x)). [para(4634(a,1),676(a,1,2)),flip(a)]. given #4501 (H,wt=28): 4732 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(4540(a,2),4731(a,1,2))]. given #4502 (H,wt=24): 4824 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(73(a,1),4732(a,2,1,2))]. given #4503 (H,wt=28): 4813 L(K(x,y) \ T(T(x,y),z),K(x,y),y * x) = (x * y) \ ((T(x,z) * y) * x). [para(4811(a,1),444(a,2,2))]. given #4504 (H,wt=29): 4627 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4621(a,1),3735(a,2,1))]. given #4505 (H,wt=24): 4825 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(1188,a,4627,a),flip(a)]. given #4506 (H,wt=20): 4826 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2270(a,1),4825(a,1,1)),flip(a)]. given #4507 (H,wt=25): 4827 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(81,a,4826,a(flip),b,1182,a)]. given #4508 (H,wt=25): 4829 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(2694(a,1),4827(a,1,1))]. given #4509 (H,wt=30): 4708 (x * R(x * K(y,x),z,u)) / R(x * K(y,x),z,u) = T(x,R(x * K(y,x),z,u)). [para(976(a,1),4515(a,1,2,1))]. given #4510 (H,wt=12): 4830 T(x,R(x * K(y,x),z,u)) = x. [hyper(304,a,4708,a)]. given #4511 (H,wt=31): 4823 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4821(a,1),3730(a,2,2))]. given #4512 (H,wt=21): 4832 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(255,a,4809,a(flip),b,4823,a)]. given #4513 (H,wt=22): 4833 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(4281,a,4832,a)]. given #4514 (H,wt=18): 4835 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(255,a,97,a(flip),b,4833,a)]. given #4515 (H,wt=21): 4837 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4835(a,1),3209(a,1,2))]. given #4516 (H,wt=26): 4838 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4837(a,1),4295(a,1,2)),flip(a)]. given #4517 (H,wt=14): 4840 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(255,a,2913,a(flip),b,4838,a)]. given #4518 (H,wt=10): 4844 R(x,K(y \ 1,y),z) = x. [para(19(a,1),4840(a,1,3))]. given #4519 (H,wt=10): 4847 R(x,y,K(z \ 1,z)) = x. [hyper(255,a,4046,a(flip),b,4844,a(flip)),flip(a)]. given #4520 (H,wt=10): 4849 R(x,K(y,y \ 1),z) = x. [para(1449(a,1),4844(a,1,2))]. given #4521 (H,wt=10): 4859 R(x,y,K(z,1 / z)) = x. [para(73(a,1),4847(a,1,3,1))]. given #4522 (H,wt=10): 4864 R(x,y,K(z,z \ 1)) = x. [para(1449(a,1),4847(a,1,3))]. given #4523 (H,wt=10): 4865 R(x,y,K(1 / z,z)) = x. [para(1533(a,2),4847(a,1,3))]. given #4524 (H,wt=13): 4856 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(255,a,3949,a(flip),b,4847,a(flip))]. given #4525 (H,wt=13): 4857 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(255,a,3013,a(flip),b,4847,a(flip))]. given #4526 (H,wt=13): 4869 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(3010,a,4864,a)]. given #4527 (H,wt=13): 4874 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(255,a,3932,a(flip),b,4864,a(flip))]. given #4528 (H,wt=15): 4854 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [hyper(255,a,4028,a(flip),b,4847,a(flip))]. given #4529 (H,wt=15): 4882 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(2511(a,1),4856(a,1,2))]. given #4530 (H,wt=15): 4883 T(x,y * (1 / z)) = T(x,y * (z \ 1)). [para(2809(a,1),4856(a,1,2)),flip(a)]. given #4531 (H,wt=15): 4884 T(x,y * (1 / (1 / z))) = T(x,y * z). [para(2923(a,1),4856(a,1,2))]. given #4532 (H,wt=15): 4886 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(3077(a,1),4856(a,1,2))]. given #4533 (H,wt=15): 4887 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(3092(a,1),4856(a,1,2))]. given #4534 (H,wt=15): 4888 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(3098(a,1),4856(a,1,2)),flip(a)]. given #4535 (H,wt=15): 4897 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(3028(a,1),4874(a,1,2))]. given #4536 (H,wt=15): 4902 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(255,a,629,a(flip),b,4886,a(flip))]. given #4537 (H,wt=11): 4906 K((x \ 1) * y,x \ y) = 1. [hyper(41,a,4902,a)]. given #4538 (H,wt=17): 4861 (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). [para(4847(a,1),379(a,1,1)),flip(a)]. given #4539 (H,wt=17): 4875 K(x,x \ 1) / (K(x,x \ 1) * y) = 1 / y. [hyper(255,a,2274,a(flip),b,4864,a(flip)),flip(a)]. given #4540 (H,wt=17): 4877 (x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1). [para(4864(a,1),379(a,1,1)),flip(a)]. given #4541 (H,wt=17): 4889 T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). [para(3205(a,1),4856(a,1,2)),flip(a)]. given #4542 (H,wt=17): 4899 T(x,y * (z * K(u,u \ 1))) = T(x,y * z). [para(3888(a,1),4874(a,1,2))]. given #4543 (H,wt=17): 4907 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(2271,a,4861,a)]. given #4544 (H,wt=17): 4910 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. [para(2924(a,1),4875(a,1,2)),flip(a)]. given #4545 (H,wt=19): 4848 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4844(a,1),122(a,1,1)),flip(a)]. given #4546 (H,wt=10): 4914 L(x,K(y \ 1,y),z) = x. [hyper(422,a,4848,a)]. given #4547 (H,wt=10): 4920 L(x,K(y,y \ 1),z) = x. [para(1449(a,1),4914(a,1,2))]. given #4548 (H,wt=10): 4927 L(x,y * (1 / y),z) = x. [para(1448(a,1),4920(a,1,2))]. given #4549 (H,wt=19): 4855 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(255,a,3999,a(flip),b,4847,a(flip)),flip(a)]. given #4550 (H,wt=19): 4858 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(255,a,2933,a(flip),b,4847,a(flip))]. given #4551 (H,wt=19): 4860 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4847(a,1),122(a,1,1)),flip(a)]. given #4552 (H,wt=14): 4933 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(2697,a,4860,a)]. given #4553 (H,wt=14): 4935 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(422,a,4860,a)]. given #4554 (H,wt=10): 4944 a(x,y,K(z \ 1,z)) = 1. [hyper(39,a,4935,a)]. given #4555 (H,wt=10): 4948 a(x,y,K(1 / z,z)) = 1. [para(1533(a,2),4944(a,1,3))]. given #4556 (H,wt=14): 4949 L(K(1 / x,x),y,z) = K(1 / x,x). [hyper(38,a,4948,a)]. given #4557 (H,wt=19): 4862 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4847(a,1),451(a,1,1))]. given #4558 (H,wt=17): 4951 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(691(a,1),4862(a,1,2)),flip(a)]. given #4559 (H,wt=15): 4953 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4951(a,1),4856(a,1,2)),flip(a)]. given #4560 (H,wt=19): 4866 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4847(a,1),2284(a,1,1))]. given #4561 (H,wt=19): 4867 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [para(4849(a,1),122(a,1,1)),flip(a)]. given #4562 (H,wt=19): 4868 (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). [para(4859(a,1),122(a,1,1)),flip(a)]. given #4563 (H,wt=19): 4876 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4864(a,1),122(a,1,1)),flip(a)]. given #4564 (H,wt=14): 4960 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(422,a,4876,a)]. given #4565 (H,wt=17): 4958 K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). [hyper(3889,a,4876,a)]. given #4566 (H,wt=17): 4964 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(80,a,4958,a(flip),b,1448,a(flip))]. given #4567 (H,wt=17): 4966 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(80,a,4964,a(flip),b,1463,a(flip)),flip(a)]. given #4568 (H,wt=19): 4878 x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1). [para(4864(a,1),451(a,1,1))]. given #4569 (H,wt=19): 4879 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4864(a,1),2275(a,1,1))]. given #4570 (H,wt=19): 4896 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2272(a,1),4874(a,1,2))]. given #4571 (H,wt=19): 4911 (x \ K(y,y \ 1)) * y = (x \ 1) * ((y \ 1) \ 1). [para(4877(a,1),2900(a,1,1))]. given #4572 (H,wt=19): 4912 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(2910(a,1),4899(a,1,2,2))]. given #4573 (H,wt=19): 4915 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(255,a,3958,a(flip),b,4848,a(flip)),flip(a)]. given #4574 (H,wt=19): 4930 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2263(a,2),4855(a,1,2))]. given #4575 (H,wt=19): 4934 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2271,a,4860,a)]. given #4576 (H,wt=19): 4950 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(255,a,3933,a,b,4862,a(flip)),flip(a)]. given #4577 (H,wt=17): 4982 T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). [para(4950(a,2),4856(a,1,2))]. given #4578 (H,wt=19): 4954 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(255,a,2263,a,b,4866,a)]. given #4579 (H,wt=19): 4955 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [hyper(255,a,3925,a(flip),b,4867,a(flip)),flip(a)]. given #4580 (H,wt=19): 4956 (K(x,1 / x) * y) * z = y * (z * K(x,1 / x)). [hyper(23,a,4002,a(flip),b,4868,a)]. given #4581 (H,wt=19): 4957 K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). [hyper(255,a,2259,a,b,4868,a(flip)),flip(a)]. given #4582 (H,wt=19): 4967 (K(x \ 1,x) * y) \ z = (y \ z) * K(x,x \ 1). [hyper(255,a,4006,a,b,4878,a(flip)),flip(a)]. given #4583 (H,wt=19): 4969 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(255,a,2247,a,b,4879,a)]. given #4584 (H,wt=19): 4970 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2938,a,4915,a)]. given #4585 (H,wt=19): 4981 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(255,a,2263,a,b,4950,a)]. given #4586 (H,wt=19): 4983 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(2936(a,1),4982(a,1,2,1))]. given #4587 (H,wt=19): 4984 T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). [para(3036(a,1),4982(a,1,2,1)),flip(a)]. given #4588 (H,wt=19): 4995 (K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z). [hyper(255,a,2247,a,b,4967,a)]. given #4589 (H,wt=20): 4903 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(3435(a,2),4886(a,1,2,1))]. given #4590 (H,wt=20): 4945 L(K(x \ y,y \ x),z,u) = K((y \ x) \ 1,y \ x). [para(2789(a,1),4935(a,1,1))]. given #4591 (H,wt=20): 5003 K((x \ y) \ 1,x \ y) != z | K(y \ x,x \ y) = z. [para(4945(a,1),323(a,1)),flip(b)]. given #4592 (H,wt=21): 4901 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4854(a,1),4763(a,1,2,1))]. given #4593 (H,wt=15): 5005 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(4775,a,4901,a)]. given #4594 (H,wt=15): 5006 T(x * (y / x),z) = x * (T(y,z) / x). [para(5005(a,1),19(a,1,2)),flip(a)]. given #4595 (H,wt=15): 5007 T(x * y,z) / y = y \ T(y * x,z). [para(20(a,1),5005(a,1,2,1,2)),flip(a)]. given #4596 (H,wt=15): 5008 (x \ T(x * (y / x),z)) * x = T(y,z). [para(5005(a,2),21(a,1,1))]. given #4597 (H,wt=15): 5011 T((x \ y) * x,z) / x = x \ T(y,z). [para(69(a,1),5005(a,1,2,1)),flip(a)]. given #4598 (H,wt=15): 5016 x * (T(y * x,z) / x) = T(x * y,z). [para(20(a,1),5006(a,1,1,2)),flip(a)]. given #4599 (H,wt=15): 5020 T(x * (y / x),K(z,y)) = x * (y / x). [para(3140(a,1),5006(a,2,2,1))]. given #4600 (H,wt=15): 5021 T(x * (y / x),K(y,z)) = x * (y / x). [para(3316(a,1),5006(a,2,2,1))]. given #4601 (H,wt=13): 5039 T(K(x,y),z * (x / z)) = K(x,y). [hyper(40,a,5021,a)]. given #4602 (H,wt=15): 5025 (x \ T(x * y,z)) * x = T(y * x,z). [para(5007(a,1),21(a,1,1))]. given #4603 (H,wt=15): 5030 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(69(a,1),5008(a,1,1,2,1)),flip(a)]. given #4604 (H,wt=15): 5037 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(5016(a,1),4567(a,1,2)),flip(a)]. given #4605 (H,wt=15): 5040 T(K(x * y,z),y * x) = K(x * y,z). [para(20(a,1),5039(a,1,2,2))]. given #4606 (H,wt=17): 5012 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [para(5005(a,1),170(a,1,2,2))]. given #4607 (H,wt=17): 5026 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(5007(a,1),129(a,1,1))]. given #4608 (H,wt=17): 5031 x \ T((x \ y) * x,z) = T(x \ T(y,z),x). [para(5011(a,1),129(a,1,1)),flip(a)]. given #4609 (H,wt=17): 5048 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(5030(a,1),127(a,1,2))]. given #4610 (H,wt=17): 5050 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(129(a,1),5030(a,2,1,2))]. given #4611 (H,wt=17): 5056 T(x \ T(x * y,y),x) != z | R(y,x,y) = z. [para(5026(a,2),4626(a,1))]. given #4612 (H,wt=18): 5010 x * (T(y,z) / x) != u | T(x * (y / x),z) = u. [para(5005(a,1),220(a,1,2)),flip(b)]. given #4613 (H,wt=18): 5033 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(5011(a,1),226(a,1,1)),flip(b)]. given #4614 (H,wt=18): 5038 T(x * (y / x),K(z,y)) != x * u | y / x = u. [para(5020(a,2),24(a,1))]. given #4615 (H,wt=18): 5042 T(x * y,z) != u * y | y \ T(y * x,z) = u. [para(5025(a,1),25(a,1))]. given #4616 (H,wt=18): 5043 T(x * y,z) / y != u | y \ T(y * x,z) = u. [para(5025(a,1),304(a,1,1)),flip(b)]. given #4617 (H,wt=18): 5047 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(5030(a,2),25(a,1))]. given #4618 (H,wt=19): 5009 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(70(a,1),5005(a,1,2,1,2))]. given #4619 (H,wt=17): 5060 (x \ y) \ T((x \ y) * x,x) = (y * x) / y. [hyper(255,a,1116,a(flip),b,5009,a)]. given #4620 (H,wt=19): 5022 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(4463(a,1),5006(a,2,2,1))]. given #4621 (H,wt=19): 5023 x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). [hyper(964,a,5007,a),flip(a)]. given #4622 (H,wt=19): 5024 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(255,a,848,a,b,5007,a),flip(a)]. given #4623 (H,wt=19): 5029 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). [hyper(255,a,2945,a,b,5008,a(flip)),flip(a)]. given #4624 (H,wt=19): 5046 T(x,y) \ T((z \ x) * z,y) = K(z \ T(x,y),z). [hyper(80,a,5030,a,b,263,a)]. given #4625 (H,wt=19): 5051 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(5030(a,2),106(a,1,1))]. given #4626 (H,wt=19): 5053 K(x * y,z) * (y * x) = (y * x) * K(x * y,z). [para(5040(a,1),127(a,1,2)),flip(a)]. given #4627 (H,wt=19): 5055 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(129(a,1),5012(a,1,2,2,1)),flip(a)]. given #4628 (H,wt=19): 5057 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(129(a,1),5048(a,1,2,1,2)),flip(a)]. given #4629 (H,wt=19): 5059 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(5050(a,1),167(a,1,1,2))]. given #4630 (H,wt=19): 5061 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(255,a,5006,a,b,5022,a)]. given #4631 (H,wt=19): 5063 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(2938,a,5029,a),flip(a)]. given #4632 (H,wt=19): 5064 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [hyper(2931,a,5029,a),flip(a)]. given #4633 (H,wt=19): 5071 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(18(a,1),5059(a,1,1,2,1,2))]. given #4634 (H,wt=17): 5079 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(4551,a,5071,a),flip(a)]. given #4635 (H,wt=19): 5075 T(x * K(y,y \ 1),z) = K(y,y \ 1) * T(x,z). [para(2247(a,1),5063(a,1,1))]. given #4636 (H,wt=19): 5080 (x \ ((y * (x * z)) / y)) * x = (y * (z * x)) / y. [para(18(a,1),5071(a,1,1,2,1)),flip(a)]. given #4637 (H,wt=21): 4905 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(3174(a,1),4888(a,2,2))]. given #4638 (H,wt=19): 5082 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(3347(a,1),4905(a,1,2))]. given #4639 (H,wt=21): 4932 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(2871(a,1),4858(a,2,2))]. given #4640 (H,wt=19): 5083 (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). [para(1454(a,1),4932(a,1,1)),flip(a)]. given #4641 (H,wt=21): 4940 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(255,a,1430,a,b,4933,a(flip)),flip(a)]. given #4642 (H,wt=21): 4985 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [hyper(255,a,4004,a(flip),b,4954,a(flip))]. given #4643 (H,wt=21): 4990 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2936(a,1),4955(a,2,2))]. given #4644 (H,wt=21): 4991 K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). [para(2937(a,1),4955(a,2,2))]. given #4645 (H,wt=21): 4992 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(3090(a,1),4955(a,2,2))]. given #4646 (H,wt=21): 5000 K(x \ 1,x) * ((y * x) \ z) = (y * ((x \ 1) \ 1)) \ z. [para(2898(a,1),4981(a,1,1)),flip(a)]. given #4647 (H,wt=21): 5002 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [para(3050(a,1),4995(a,1,1)),flip(a)]. given #4648 (H,wt=21): 5004 L(K(x \ y,y \ x),z,u) != w | K(x \ y,y \ x) = w. [para(4945(a,2),5003(a,1))]. given #4649 (H,wt=21): 5028 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(5007(a,1),4249(a,1,2))]. given #4650 (H,wt=21): 5073 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(255,a,4661,a,b,5061,a(flip)),flip(a)]. given #4651 (H,wt=21): 5078 T(((x \ 1) \ 1) \ y,z) * K(x,x \ 1) = T(x \ y,z). [para(3036(a,1),5064(a,1,1)),flip(a)]. given #4652 (H,wt=19): 5087 T(x,T(((y \ 1) \ 1) \ z,u)) = T(x,T(y \ z,u)). [para(5078(a,1),4874(a,1,2)),flip(a)]. given #4653 (H,wt=19): 5088 T(x,T((1 / y) \ z,u)) = T(x,T((y \ 1) \ z,u)). [para(73(a,1),5087(a,1,2,1,1,1)),flip(a)]. given #4654 (H,wt=21): 5085 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4940(a,1),19(a,1,2))]. given #4655 (H,wt=19): 5089 (L(x,y,z) \ 1) * T(x,x \ 1) = L(x,y,z) \ x. [hyper(2880,a,5085,a)]. given #4656 (H,wt=22): 4891 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4857(a,1),122(a,1,1))]. given #4657 (H,wt=22): 4962 (x * y) * K(z,z \ 1) != u | x * (y * K(z,z \ 1)) = u. [para(4960(a,1),224(a,1,2))]. given #4658 (H,wt=20): 5093 ((x \ 1) \ 1) * y != z | x * (y * K(x,x \ 1)) = z. [para(3069(a,1),4962(a,1))]. given #4659 (H,wt=22): 4997 x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. [para(4969(a,2),2253(a,1))]. given #4660 (H,wt=22): 5013 x * (T(y,z) / x) != u * w | T(x * (y / x),z) / w = u. [para(5005(a,1),297(a,1,2))]. given #4661 (H,wt=22): 5034 (x \ T(y,z)) * x != u * w | u \ T((x \ y) * x,z) = w. [para(5011(a,1),299(a,1,1))]. given #4662 (H,wt=22): 5054 (x * y) * K(y * x,z) != u | K(y * x,z) * (x * y) = u. [para(5040(a,1),225(a,1,2))]. given #4663 (H,wt=22): 5072 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(5059(a,1),226(a,1,1)),flip(b)]. given #4664 (H,wt=23): 4894 T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). [hyper(255,a,3863,a(flip),b,4874,a)]. given #4665 (H,wt=23): 4938 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4860(a,1),3958(a,1,1))]. given #4666 (H,wt=23): 4939 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4860(a,1),3992(a,1,1))]. given #4667 (H,wt=23): 4952 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(4016(a,1),4951(a,1,2))]. given #4668 (H,wt=21): 5097 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(23,a,3092,a,b,4952,a)]. given #4669 (H,wt=19): 5098 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(255,a,3811,a(flip),b,5097,a)]. given #4670 (H,wt=23): 4978 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4915(a,1),4866(a,1,2))]. given #4671 (H,wt=23): 4993 x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). [para(4955(a,1),4879(a,1,2))]. given #4672 (H,wt=23): 4994 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(4955(a,1),4950(a,1,1))]. given #4673 (H,wt=23): 5001 K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. [para(4052(a,1),4981(a,1,1)),flip(a)]. given #4674 (H,wt=23): 5027 T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,z). [para(104(a,1),5007(a,2,2,1))]. given #4675 (H,wt=23): 5069 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(255,a,4065,a,b,5057,a(flip)),flip(a)]. given #4676 (H,wt=23): 5086 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(255,a,1400,a,b,5028,a(flip)),flip(a)]. given #4677 (H,wt=23): 5090 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(5085(a,1),2831(a,1,1))]. given #4678 (H,wt=23): 5094 T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). [para(4054(a,2),4894(a,1,2))]. given #4679 (H,wt=21): 5103 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). [para(3937(a,1),5094(a,1,2,1))]. given #4680 (H,wt=23): 5101 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(5072,a,5086,a)]. given #4681 (H,wt=24): 5044 T(x * y,z) \ T(y * x,z) != u | K(x \ T(x * y,z),x) = u. [para(5025(a,1),410(a,1,2))]. given #4682 (H,wt=25): 5091 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4891(a,1),25(a,1))]. given #4683 (H,wt=25): 5092 (x * (y \ 1)) * ((y \ 1) \ 1) != z * u | z \ R(x,y \ 1,y) = u. [para(4891(a,1),367(a,1))]. given #4684 (H,wt=26): 4973 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(K(z \ 1,z) * u,y,x). [para(4915(a,2),33(a,2,2,2)),flip(a)]. given #4685 (H,wt=26): 4979 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u * K(z \ 1,z),y,x). [para(4934(a,2),33(a,2,2,2)),flip(a)]. given #4686 (H,wt=26): 5099 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(33(a,2),4978(a,2,1))]. given #4687 (H,wt=21): 5104 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(255,a,4979,a(flip),b,5099,a(flip)),flip(a)]. given #4688 (H,wt=21): 5105 L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). [hyper(255,a,4973,a(flip),b,5099,a(flip)),flip(a)]. given #4689 (H,wt=21): 5108 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [hyper(255,a,2263,a,b,5105,a)]. given #4690 (H,wt=21): 5110 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(2913(a,1),5108(a,1,1)),flip(a)]. given #4691 (H,wt=17): 5113 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(255,a,2992,a(flip),b,5110,a(flip)),flip(a)]. given #4692 (H,wt=17): 5115 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(20(a,1),5113(a,1,1,2,1,2))]. given #4693 (H,wt=17): 5116 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(5113(a,1),69(a,1,2,1)),flip(a)]. given #4694 (H,wt=17): 5117 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(69(a,1),5113(a,1,1,2,1)),flip(a)]. given #4695 (H,wt=21): 5111 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(2938,a,5110,a),flip(a)]. given #4696 (H,wt=19): 5122 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(1522(a,1),5111(a,1,1)),flip(a)]. given #4697 (H,wt=19): 5124 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(255,a,1543,a(flip),b,5122,a(flip)),flip(a)]. given #4698 (H,wt=19): 5125 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(128(a,1),5124(a,2,1))]. given #4699 (H,wt=19): 5126 L(x,y,z) * K(x,x \ 1) = L((x \ 1) \ 1,y,z). [hyper(2304,a,5125,a)]. given #4700 (H,wt=19): 5127 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(87,a,5125,a)]. given #4701 (H,wt=19): 5128 L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). [para(1445(a,2),5126(a,1,2))]. given #4702 (H,wt=19): 5129 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(255,a,1279,a,b,5127,a(flip)),flip(a)]. given #4703 (H,wt=13): 5131 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2476,a,5129,a)]. given #4704 (H,wt=13): 5132 L(x,y,z) / x = x \ L(x,y,z). [hyper(96,a,5131,a)]. given #4705 (H,wt=13): 5133 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(87,a,5131,a)]. given #4706 (H,wt=15): 5134 (1 / x) * L(x,y,z) = x \ L(x,y,z). [hyper(255,a,1040,a,b,5132,a(flip)),flip(a)]. given #4707 (H,wt=12): 5138 T(1 / x,L(x,y,z)) = x \ 1. [hyper(172,a,5134,a,b,1153,a)]. given #4708 (H,wt=16): 5135 (x \ L(x,y,z)) * x != u | L(x,y,z) = u. [para(5132(a,1),226(a,1,1)),flip(b)]. given #4709 (H,wt=16): 5139 K(x,T(y \ 1,L(y,z,u))) = K(x,y \ 1). [para(5138(a,1),3710(a,1,2)),flip(a)]. given #4710 (H,wt=21): 5112 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(2931,a,5110,a),flip(a)]. given #4711 (H,wt=19): 5140 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1457(a,1),5112(a,1,1)),flip(a)]. given #4712 (H,wt=21): 5137 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(5133(a,1),398(a,1,2,1)),flip(a)]. given #4713 (H,wt=21): 5141 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(5140(a,1),3973(a,1,1)),flip(a)]. given #4714 (H,wt=21): 5142 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(5140(a,1),3980(a,1,1))]. given #4715 (H,wt=21): 5144 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(255,a,1438,a(flip),b,5141,a(flip)),flip(a)]. given #4716 (H,wt=22): 5118 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(5117(a,1),112(a,1,2))]. given #4717 (H,wt=22): 5119 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(437(a,1),5117(a,2,1,2))]. given #4718 (H,wt=23): 5130 K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). [para(5128(a,1),4957(a,2,2))]. given #4719 (H,wt=23): 5136 x \ L(x,y,z) != L(x,y,z) * u | T(1 / x,L(x,y,z)) = u. [para(5132(a,1),1043(a,1))]. given #4720 (H,wt=23): 5146 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(80,a,5119,a(flip),b,190,a),flip(a)]. given #4721 (H,wt=19): 5147 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(255,a,5101,a(flip),b,5146,a(flip)),flip(a)]. given #4722 (H,wt=19): 5148 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [para(5147(a,1),21(a,1,1))]. given #4723 (H,wt=22): 5149 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(5147(a,1),226(a,1,1)),flip(b)]. given #4724 (H,wt=22): 5150 (x \ ((y \ (x * z)) * y)) * x != u * y | y \ (z * x) = u. [para(5148(a,2),25(a,1))]. given #4725 (H,wt=24): 5107 L(x * K(y \ 1,y),z,u) != L(x,z,u) * w | K(y \ 1,y) = w. [para(5104(a,2),24(a,1))]. given #4726 (H,wt=24): 5120 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(439(a,1),5117(a,2,1,2))]. given #4727 (H,wt=19): 5151 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(255,a,4805,a(flip),b,5120,a(flip))]. given #4728 (H,wt=17): 5152 x * (y \ (x / (x / y))) = (y \ (1 \ x)) * y. [para(17(a,1),5151(a,1,1,2,2)),flip(a)]. given #4729 (H,wt=15): 5153 x * (y \ (x / (x / y))) = (y \ x) * y. [para(59(a,1),5152(a,2,1,2))]. given #4730 (H,wt=13): 5154 x \ (y / (y / x)) = K(x \ y,x). [hyper(22,a,263,a,b,5153,a)]. given #4731 (H,wt=13): 5156 x / (y * (x / y)) = K(y \ x,y). [hyper(255,a,4580,a,b,5154,a(flip)),flip(a)]. given #4732 (H,wt=13): 5158 x / (x / y) = y * K(y \ x,y). [para(5154(a,1),19(a,1,2)),flip(a)]. given #4733 (H,wt=13): 5161 T(K(x \ y,x),y) = K(x \ y,x). [para(5154(a,1),4386(a,1,1))]. given #4734 (H,wt=9): 5171 T(x,K(y \ x,y)) = x. [hyper(40,a,5161,a)]. given #4735 (H,wt=11): 5172 T(x * y,K(y,x)) = x * y. [para(18(a,1),5171(a,1,2,1))]. given #4736 (H,wt=11): 5173 K(x,y) \ (x * y) = y * x. [hyper(255,a,270,a,b,5172,a(flip)),flip(a)]. given #4737 (H,wt=11): 5174 K(x,y) = (x * y) / (y * x). [para(5172(a,1),271(a,1,2)),flip(a)]. given #4738 (H,wt=9): 5177 K(x,y) = T(y,x) \ y. [hyper(255,a,4379,a(flip),b,5174,a)]. given #4739 (H,wt=9): 5182 K(x,y) = y / T(y,x). [hyper(255,a,3128,a,b,5177,a)]. given #4740 (H,wt=9): 5186 K(x,y) = x \ T(x,y). [hyper(255,a,4439,a(flip),b,5177,a)]. given #4741 (H,wt=9): 5194 T(x,y) * K(y,x) = x. [para(5177(a,2),19(a,1,2))]. given #4742 (H,wt=9): 5197 T(x,y) = x / K(y,x). [para(5177(a,2),70(a,1,2)),flip(a)]. given #4743 (H,wt=9): 5207 K(x,y) * T(y,x) = y. [para(5177(a,2),3133(a,1,1))]. given #4744 (H,wt=9): 5208 T(x,y) = K(y,x) \ x. [para(5177(a,2),3134(a,1,1)),flip(a)]. given #4745 (H,wt=9): 5216 T(x * K(y,x),y) = x. [para(5177(a,2),4473(a,1,1,2))]. given #4746 (H,wt=9): 5242 K(x,y) = T(x,y) / x. [hyper(255,a,3234,a,b,5186,a)]. given #4747 (H,wt=9): 5252 T(x,y) = x * K(x,y). [para(5186(a,2),19(a,1,2)),flip(a)]. given #4748 (H,wt=9): 5263 T(x,y) = K(x,y) * x. [para(5186(a,2),3236(a,1,1)),flip(a)]. given #4749 (H,wt=9): 5306 T(K(x,y) * y,x) = y. [para(3141(a,2),5216(a,1,1))]. given #4750 (H,wt=11): 5175 K(x,y) * (y * x) = x * y. [para(5173(a,1),19(a,1,2))]. given #4751 (H,wt=11): 5180 K(x,y) = ((y * x) / y) \ x. [hyper(255,a,4085,a,b,5177,a)]. given #4752 (H,wt=11): 5183 K(x,y) = (1 / T(y,x)) * y. [hyper(255,a,3127,a,b,5177,a)]. given #4753 (H,wt=11): 5184 K(x,y) = y * (T(y,x) \ 1). [hyper(255,a,1083,a,b,5177,a)]. given #4754 (H,wt=11): 5188 K(T(x,y),y) = x \ T(x,y). [hyper(255,a,4087,a(flip),b,5177,a)]. given #4755 (H,wt=9): 5368 K(T(x,y),y) = K(x,y). [hyper(255,a,5186,a,b,5188,a)]. given #4756 (H,wt=9): 5373 K(x,T(y,x)) = K(x,y). [hyper(255,a,4195,a(flip),b,5368,a(flip))]. given #4757 (H,wt=9): 5381 K(x,y) \ 1 = K(y,x). [para(5368(a,1),4607(a,1,1))]. given #4758 (H,wt=9): 5382 K(x,y) * K(y,x) = 1. [para(5368(a,1),4609(a,1,1))]. given #4759 (H,wt=9): 5394 1 / K(x,y) = K(y,x). [para(5381(a,1),70(a,1,2))]. given #4760 (H,wt=11): 5190 K(x,y) / y = 1 / T(y,x). [hyper(81,a,5177,a,b,3127,a)]. given #4761 (H,wt=11): 5192 T(x,y) \ 1 = x \ K(y,x). [hyper(80,a,5177,a,b,1083,a),flip(a)]. given #4762 (H,wt=11): 5211 K(x,y) * ((y * x) / y) = x. [para(5177(a,2),4086(a,1,1))]. given #4763 (H,wt=11): 5212 x * K(T(x,y),y) = T(x,y). [para(5177(a,2),4088(a,1,2))]. given #4764 (H,wt=11): 5215 K(x,y) = T(y,T(x,y)) \ y. [para(4446(a,2),5177(a,2,1))]. given #4765 (H,wt=11): 5217 (x * y) / x = y * K(x,y). [para(5177(a,2),4442(a,2,2))]. given #4766 (H,wt=11): 5237 K(x,y) = ((x * y) / x) / y. [hyper(255,a,4079,a,b,5186,a)]. given #4767 (H,wt=11): 5239 K(x,y) = y \ ((x * y) / x). [hyper(255,a,4074,a,b,5186,a)]. given #4768 (H,wt=11): 5241 K(x,y) = (1 / x) * T(x,y). [hyper(255,a,3238,a,b,5186,a)]. given #4769 (H,wt=11): 5243 K(x,y) = T(x,y) * (x \ 1). [hyper(255,a,927,a,b,5186,a)]. given #4770 (H,wt=11): 5249 T(x,y) \ K(x,y) = x \ 1. [hyper(80,a,5186,a,b,927,a)]. given #4771 (H,wt=11): 5265 (x * K(y,x)) * y = y * x. [para(5186(a,2),4069(a,1,1,2))]. given #4772 (H,wt=11): 5266 T(x,y) * K(y,T(x,y)) = x. [para(5186(a,2),4072(a,1,2))]. given #4773 (H,wt=11): 5267 (x * y) / x = K(x,y) * y. [para(5186(a,2),4080(a,1,1)),flip(a)]. given #4774 (H,wt=11): 5291 T(x,y) = 1 / (x \ K(y,x)). [hyper(255,a,3729,a,b,5208,a)]. given #4775 (H,wt=11): 5292 T(x,y) = (K(y,x) / x) \ 1. [hyper(255,a,3700,a,b,5208,a)]. given #4776 (H,wt=11): 5296 (x * K(y,x)) \ (y * x) = y. [para(5216(a,1),168(a,1,2,2))]. given #4777 (H,wt=11): 5310 T(x,y * K(x,y)) = T(x,y). [para(5216(a,1),4446(a,1,2)),flip(a)]. given #4778 (H,wt=11): 5340 x * (K(y,x) * y) = y * x. [para(5263(a,1),127(a,1,2))]. given #4779 (H,wt=11): 5358 K(x,y) = x / ((y * x) / y). [hyper(255,a,3276,a,b,5180,a)]. given #4780 (H,wt=11): 5374 K(x,y / x) = K(x,x \ y). [hyper(255,a,4194,a(flip),b,5368,a(flip)),flip(a)]. given #4781 (H,wt=11): 5375 K(x \ (y * x),x) = K(y,x). [para(37(a,1),5368(a,1,1))]. given #4782 (H,wt=11): 5376 K(x / y,y) = K(y \ x,y). [para(129(a,1),5368(a,1,1)),flip(a)]. given #4783 (H,wt=11): 5385 K(x * K(y,x),y) = K(x,y). [para(5216(a,1),5368(a,1,1)),flip(a)]. given #4784 (H,wt=11): 5387 K(x,x \ (y * x)) = K(x,y). [para(37(a,1),5373(a,1,2))]. given #4785 (H,wt=11): 5392 K(x,y * K(x,y)) = K(x,y). [para(5216(a,1),5373(a,1,2)),flip(a)]. given #4786 (H,wt=12): 5199 x * K(y,z) != z | T(z,y) = x. [para(5177(a,2),94(a,1,2)),flip(b)]. given #4787 (H,wt=12): 5201 x / K(y,x) != z | T(x,y) = z. [para(5177(a,2),303(a,1,2)),flip(b)]. given #4788 (H,wt=12): 5218 K(x,y) != z | x \ T(x,y) = z. [para(5177(a,2),4447(a,1))]. given #4789 (H,wt=12): 5227 K(x,y) \ y != z | T(y,x) = z. [para(5182(a,2),219(a,1,1)),flip(b)]. given #4790 (H,wt=12): 5255 x * K(x,y) != z | T(x,y) = z. [para(5186(a,2),220(a,1,2)),flip(b)]. given #4791 (H,wt=12): 5264 K(x,y) * x != z | T(x,y) = z. [para(5186(a,2),3241(a,1,1))]. given #4792 (H,wt=12): 5281 T(x,y) \ x != z | K(y,x) = z. [para(5194(a,1),222(a,1,2)),flip(b)]. given #4793 (H,wt=12): 5289 x / T(x,y) != z | K(y,x) = z. [para(5207(a,1),304(a,1,1)),flip(b)]. given #4794 (H,wt=12): 5323 T(x,y) != x * z | K(x,y) = z. [para(5252(a,2),24(a,1))]. given #4795 (H,wt=12): 5325 x \ T(x,y) != z | K(x,y) = z. [para(5252(a,2),222(a,1,2)),flip(b)]. given #4796 (H,wt=12): 5339 T(x,y) != z * x | K(x,y) = z. [para(5263(a,2),25(a,1))]. given #4797 (H,wt=12): 5341 T(x,y) / x != z | K(x,y) = z. [para(5263(a,2),304(a,1,1)),flip(b)]. given #4798 (H,wt=12): 5353 T(x,y) != z | x * K(x,y) = z. [para(5263(a,2),3322(a,1))]. given #4799 (H,wt=12): 5383 K(x,y) * z != 1 | K(y,x) = z. [para(5368(a,1),4614(a,1,1))]. given #4800 (H,wt=12): 5384 K(x,y) \ 1 != z | K(y,x) = z. [para(5368(a,1),4615(a,1,1))]. given #4801 (H,wt=12): 5395 1 / K(x,y) != z | K(y,x) = z. [para(5381(a,1),303(a,1,2)),flip(b)]. given #4802 (H,wt=12): 5403 K(x,T(y,x)) != z | K(x,y) = z. [para(5381(a,1),4615(a,1))]. given #4803 (H,wt=13): 5162 K(x \ y,x) * (x * (y / x)) = y. [para(5156(a,1),21(a,1,1))]. given #4804 (H,wt=13): 5166 (x * K(x \ y,x)) * (y / x) = y. [para(5158(a,1),21(a,1,1))]. given #4805 (H,wt=13): 5178 K(x \ y,x) * y = (x \ y) * x. [para(5174(a,2),260(a,1,1))]. given #4806 (H,wt=13): 5179 K(x \ (x / y),x) = K(y \ 1,x). [hyper(255,a,4431,a,b,5177,a),flip(a)]. given #4807 (H,wt=13): 5187 x * T(x \ 1,y) = K(x \ 1,y). [hyper(255,a,4430,a(flip),b,5177,a),flip(a)]. given #4808 (H,wt=13): 5203 ((x \ y) \ y) * K(x \ y,x) = x. [para(5177(a,2),312(a,1,2))]. given #4809 (H,wt=13): 5204 T(x,y) = (x * K(y,x)) \ (x * x). [para(5177(a,2),1587(a,1,1,2)),flip(a)]. given #4810 (H,wt=13): 5206 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(5177(a,2),2704(a,1,2))]. given #4811 (H,wt=13): 5209 K(x,y) * (y \ 1) = T(y,x) \ 1. [para(5177(a,2),3394(a,1,1))]. given #4812 (H,wt=13): 5210 K(x \ K(x,y),x) = K(x \ 1,x). [para(5177(a,2),3669(a,1,1,2))]. given #4813 (H,wt=13): 5220 x * (K(x,y) * z) = T(x,y) * z. [para(5177(a,2),4443(a,1,2,1))]. given #4814 (H,wt=13): 5221 T(x,y) * (x \ z) = K(x,y) * z. [para(5177(a,2),4444(a,2,1))]. given #4815 (H,wt=13): 5225 x * (T(x,y) \ z) = K(y,x) * z. [para(5177(a,2),4756(a,1,1)),flip(a)]. given #4816 (H,wt=13): 5226 K(x,y) * (T(y,x) * z) = y * z. [para(5177(a,2),4758(a,1,1))]. given #4817 (H,wt=13): 5236 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(255,a,4083,a,b,5186,a)]. given #4818 (H,wt=13): 5245 x * T(x \ 1,y) = K(1 / x,y). [hyper(255,a,663,a(flip),b,5186,a),flip(a)]. given #4819 (H,wt=13): 5247 ((x * y) / x) \ K(x,y) = y \ 1. [hyper(80,a,5186,a,b,4083,a)]. given #4820 (H,wt=13): 5250 x \ T(x,y \ 1) = K(x,1 / y). [hyper(255,a,3707,a,b,5186,a(flip))]. given #4821 (H,wt=13): 5268 (x \ y) * K(x,x \ y) = y / x. [para(5186(a,2),4071(a,1,2))]. given #4822 (H,wt=13): 5269 x \ T(x,y \ x) = K(x,x / y). [para(4132(a,1),5186(a,2,2)),flip(a)]. given #4823 (H,wt=11): 5583 K(x,x / y) = K(x,y \ x). [hyper(5325,a,5269,a),flip(a)]. given #4824 (H,wt=11): 5584 K(x,(y \ x) \ x) = K(x,y). [para(70(a,1),5583(a,1,2)),flip(a)]. given #4825 (H,wt=11): 5585 K(x,x / (x / y)) = K(x,y). [para(73(a,1),5583(a,2,2))]. given #4826 (H,wt=11): 5586 K(x,T(y,y \ x)) = K(x,y). [para(128(a,2),5584(a,1,2))]. given #4827 (H,wt=13): 5271 K(x,x \ y) * y = x * (y / x). [para(5186(a,2),4342(a,1,1))]. given #4828 (H,wt=13): 5272 K(x,y) * (x * z) = T(x,y) * z. [para(5186(a,2),4343(a,1,1))]. given #4829 (H,wt=13): 5273 x * (T(x,y) \ z) = K(x,y) \ z. [para(5186(a,2),4351(a,1,1)),flip(a)]. given #4830 (H,wt=11): 5600 K(x,y) \ z = K(y,x) * z. [hyper(255,a,5225,a(flip),b,5273,a(flip))]. given #4831 (H,wt=11): 5605 x / (K(y,z) * x) = K(z,y). [hyper(416,a,5600,a)]. given #4832 (H,wt=11): 5608 K(x,y) * (K(y,x) * z) = z. [hyper(222,a,5600,a)]. given #4833 (H,wt=12): 5624 K(x,y) != z | K(y,x) \ 1 = z. [para(5605(a,1),217(a,1)),flip(b)]. given #4834 (H,wt=13): 5274 K(x,y) \ (T(x,y) * z) = x * z. [para(5186(a,2),4367(a,1,1))]. given #4835 (H,wt=13): 5284 x * (y * K(x,y)) = T(x,y) * y. [para(5194(a,1),4771(a,1,2)),flip(a)]. given #4836 (H,wt=13): 5288 K(x,y / x) * (x \ y) = y / x. [para(129(a,1),5207(a,1,2))]. given #4837 (H,wt=13): 5290 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(255,a,4579,a,b,5208,a),flip(a)]. given #4838 (H,wt=13): 5295 T(T(x * K(y,x),z),y) = T(x,z). [para(5216(a,1),43(a,1,1)),flip(a)]. given #4839 (H,wt=13): 5307 T(x \ K(y,x \ 1),y) = x \ 1. [para(3174(a,1),5216(a,1,1))]. given #4840 (H,wt=13): 5309 T(K(x,y \ 1) / y,x) = 1 / y. [para(3718(a,1),5216(a,1,1))]. given #4841 (H,wt=13): 5312 T(1 / x,y) * x = K(x \ 1,y). [hyper(255,a,665,a(flip),b,5242,a),flip(a)]. given #4842 (H,wt=13): 5320 T(x,T(y,T(x,z))) = x * K(x,y). [hyper(255,a,4794,a,b,5252,a(flip)),flip(a)]. given #4843 (H,wt=11): 5642 K(x,T(y,T(x,z))) = K(x,y). [hyper(5323,a,5320,a)]. given #4844 (H,wt=13): 5359 K(x,y) = x * (((y * x) / y) \ 1). [hyper(255,a,1146,a,b,5180,a)]. given #4845 (H,wt=13): 5360 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(80,a,5180,a,b,1146,a),flip(a)]. given #4846 (H,wt=13): 5362 K(x,y) / x = 1 / ((y * x) / y). [para(5180(a,2),3279(a,1,1))]. given #4847 (H,wt=13): 5402 (x * K(y,x)) \ 1 = x \ K(x,y). [para(5381(a,1),3675(a,2,2))]. given #4848 (H,wt=13): 5409 K(x \ y,x) * (y / x) = x \ y. [para(19(a,1),5211(a,1,2,1))]. given #4849 (H,wt=13): 5423 T(x,y) / (y \ x) = y * K(x,y). [hyper(255,a,1116,a,b,5217,a(flip)),flip(a)]. given #4850 (H,wt=13): 5425 x / (x / y) = y * K(x / y,y). [hyper(255,a,251,a(flip),b,5217,a(flip)),flip(a)]. given #4851 (H,wt=13): 5442 K(x,y) = (1 / y) * ((x * y) / x). [para(5217(a,2),3171(a,1,2)),flip(a)]. given #4852 (H,wt=13): 5447 (x \ y) \ (y / x) = K(x,x \ y). [para(19(a,1),5239(a,2,2,1)),flip(a)]. given #4853 (H,wt=13): 5452 K(1 / x,y) / x = T(1 / x,y). [hyper(313,a,5243,a(flip))]. given #4854 (H,wt=13): 5466 x / (y / (y / x)) = K(x,x \ y). [para(4524(a,1),5358(a,2,2)),flip(a)]. given #4855 (H,wt=13): 5470 x \ (y * (x / y)) = K(y,y \ x). [hyper(255,a,107,a,b,5374,a(flip)),flip(a)]. given #4856 (H,wt=13): 5471 K(x,x \ (y \ x)) = K(x,y \ 1). [hyper(255,a,4680,a(flip),b,5374,a(flip))]. given #4857 (H,wt=13): 5472 x * K(y,y \ x) = y * (x / y). [para(5374(a,1),264(a,1,2))]. given #4858 (H,wt=9): 5661 T(x,K(y,y \ x)) = x. [hyper(172,a,5472,a,b,5271,a)]. given #4859 (H,wt=13): 5473 K(x,x \ y) \ 1 = K(y / x,x). [para(5374(a,1),5381(a,1,1))]. given #4860 (H,wt=13): 5475 (x * (y / x)) \ y = K(x \ y,x). [hyper(255,a,108,a,b,5376,a(flip)),flip(a)]. given #4861 (H,wt=13): 5534 x \ (T(x,y) * z) = K(x,y) * z. [hyper(87,a,5220,a)]. given #4862 (H,wt=13): 5536 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(80,a,19,a(flip),b,5220,a),flip(a)]. given #4863 (H,wt=13): 5546 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(1107,a,5221,a)]. given #4864 (H,wt=13): 5553 (x * y) / (T(x,z) * y) = K(z,x). [hyper(81,a,4769,a(flip),b,5221,a(flip))]. given #4865 (H,wt=13): 5554 K(x,y) \ (y * z) = T(y,x) * z. [hyper(80,a,4769,a(flip),b,5221,a(flip))]. given #4866 (H,wt=13): 5556 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(80,a,5221,a(flip),b,4762,a(flip))]. given #4867 (H,wt=13): 5559 T(x,y) \ (x * z) = K(y,x) * z. [hyper(1127,a,5225,a)]. given #4868 (H,wt=13): 5560 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(1106,a,5225,a),flip(a)]. given #4869 (H,wt=13): 5564 T(x,y) * (K(y,x) * z) = x * z. [para(5225(a,1),1079(a,1,2))]. given #4870 (H,wt=13): 5576 K(x,(x / y) / x) = K(x,1 / y). [hyper(4180,a,5250,a)]. given #4871 (H,wt=13): 5587 K(x * y,T(x,y)) = K(x * y,x). [para(18(a,1),5586(a,1,2,2))]. given #4872 (H,wt=13): 5602 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(3609,a,5600,a)]. given #4873 (H,wt=13): 5603 K(x,y) * (y \ K(y,x)) = y \ 1. [hyper(3608,a,5600,a),flip(a)]. given #4874 (H,wt=13): 5609 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(80,a,5600,a,b,127,a)]. given #4875 (H,wt=13): 5645 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(5360(a,1),2308(a,1,2))]. given #4876 (H,wt=13): 5649 1 / (x * K(y,x)) = K(x,y) / x. [para(5217(a,1),5362(a,2,2)),flip(a)]. given #4877 (H,wt=13): 5655 T(1 / x,(y * x) / y) = x \ 1. [hyper(172,a,5442,a(flip),b,5236,a(flip))]. given #4878 (H,wt=13): 5687 K(x,y) * (x / y) = x / T(y,x). [hyper(4699,a,5564,a),flip(a)]. given #4879 (H,wt=13): 5692 K(x,1 / (y \ x)) = K(x,y / x). [para(70(a,1),5576(a,1,2,1)),flip(a)]. given #4880 (H,wt=13): 5699 (K(x,y) / x) \ 1 = x * K(y,x). [para(5649(a,1),73(a,1,1))]. given #4881 (H,wt=14): 5176 x * (y * z) != z * y | K(z,y) = x. [para(5173(a,1),94(a,1,2)),flip(b)]. given #4882 (H,wt=14): 5297 x * y != z * x | y * K(x,y) = z. [para(5216(a,1),174(a,1,2)),flip(b)]. given #4883 (H,wt=14): 5364 K(x,y) / y != z | 1 / T(y,x) = z. [para(5183(a,2),304(a,1,1)),flip(b)]. given #4884 (H,wt=14): 5365 K(x \ R(x,y,z),x) = (1 / x) * x. [para(4039(a,1),5183(a,2,1,2))]. given #4885 (H,wt=14): 5405 (K(x,y) / y) \ 1 != z | T(y,x) = z. [para(5190(a,2),219(a,1,1)),flip(b)]. given #4886 (H,wt=14): 5406 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(5192(a,1),303(a,1,2)),flip(b)]. given #4887 (H,wt=14): 5430 T(x * K(y * x,x),y) = R(x,y,x). [para(5217(a,1),703(a,2,1)),flip(a)]. given #4888 (H,wt=14): 5448 x * K(y,x) != z | (y * x) / y = z. [para(5239(a,2),220(a,1,2)),flip(b)]. given #4889 (H,wt=14): 5456 T(x,y) * (x \ 1) != z | K(x,y) = z. [para(5249(a,1),220(a,1,2)),flip(b)]. given #4890 (H,wt=14): 5458 (x * y) / x != z | y * K(x,y) = z. [para(5265(a,1),304(a,1,1)),flip(b)]. given #4891 (H,wt=14): 5502 K(x,x \ (y * x)) != z | K(x,y) = z. [para(37(a,1),5403(a,1,2))]. given #4892 (H,wt=14): 5506 K(x,y) != z | K(x,y * K(x,y)) = z. [para(5216(a,1),5403(a,1,2))]. given #4893 (H,wt=14): 5539 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(22,a,4669,a(flip),b,5220,a)]. given #4894 (H,wt=14): 5540 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(22,a,4667,a(flip),b,5220,a)]. given #4895 (H,wt=14): 5541 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(22,a,4622,a(flip),b,5220,a)]. given #4896 (H,wt=14): 5580 K(x,1 / y) != z | K(x,y \ 1) = z. [para(5250(a,1),5325(a,1))]. given #4897 (H,wt=14): 5582 T(x \ y,R(y / x,z,u)) = x \ y. [para(5268(a,1),4830(a,1,2,1))]. given #4898 (H,wt=14): 5611 x * (K(y,z) * u) != u | K(z,y) = x. [para(5600(a,1),94(a,1,2)),flip(b)]. given #4899 (H,wt=14): 5612 K(x,y) * (K(y,x) * z) != u | u = z. [para(5600(a,1),220(a,1,2))]. given #4900 (H,wt=14): 5613 x / (K(y,z) * x) != u | K(z,y) = u. [para(5600(a,1),303(a,1,2)),flip(b)]. given #4901 (H,wt=14): 5622 K(x,y) * z != u | K(y,x) * u = z. [para(5605(a,1),89(a,1,1)),flip(b)]. given #4902 (H,wt=14): 5623 K(x,y) \ z != u | K(y,x) * z = u. [para(5605(a,1),219(a,1,1)),flip(b)]. given #4903 (H,wt=14): 5643 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(5320(a,2),5255(a,1))]. given #4904 (H,wt=12): 5718 T(x,T(y,x)) != z | T(x,y) = z. [para(126(a,1),5643(a,1,2,2))]. given #4905 (H,wt=14): 5665 K(x / y,y) != z | K(y \ x,y) = z. [para(5473(a,1),5384(a,1))]. given #4906 (H,wt=14): 5707 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(3147,a,5540,a)]. given #4907 (H,wt=14): 5708 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(3147,a,5541,a)]. given #4908 (H,wt=14): 5712 K(x,y) * z != u | K(y,x) \ z = u. [para(19(a,1),5612(a,1,2)),flip(b)]. given #4909 (H,wt=15): 5155 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(255,a,4804,a,b,5154,a(flip)),flip(a)]. given #4910 (H,wt=15): 5165 (x * y) / ((x * y) / x) = x * K(y,x). [para(18(a,1),5158(a,2,2,1))]. given #4911 (H,wt=15): 5181 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(255,a,3290,a,b,5177,a),flip(a)]. given #4912 (H,wt=15): 5189 x \ (T(1 / x,y) \ 1) = K(y,x \ 1). [hyper(255,a,3390,a(flip),b,5177,a),flip(a)]. given #4913 (H,wt=15): 5191 K(x,y) / ((y \ 1) \ 1) = T(y,x) \ 1. [hyper(81,a,5177,a,b,2297,a)]. given #4914 (H,wt=15): 5205 K((1 / x) \ y,y) = T(y,y * x) \ y. [para(1991(a,1),5177(a,2,1))]. given #4915 (H,wt=13): 5733 K((1 / x) \ y,y) = K(y * x,y). [hyper(255,a,5177,a,b,5205,a)]. given #4916 (H,wt=13): 5734 K(x * (y \ 1),x) = K(y \ x,x). [para(70(a,1),5733(a,1,1,1)),flip(a)]. given #4917 (H,wt=15): 5213 ((x * y) / x) \ x = y \ (x * K(y,x)). [para(5177(a,2),4239(a,1,2,2)),flip(a)]. given #4918 (H,wt=15): 5214 x * (((y * x) / y) \ z) = K(x,y) * z. [para(5177(a,2),4389(a,2,1))]. given #4919 (H,wt=15): 5219 K(x * (1 / y),x) = T(x,y \ x) \ x. [para(4566(a,1),5177(a,2,1))]. given #4920 (H,wt=13): 5740 K(x * (1 / y),x) = K(y \ x,x). [hyper(255,a,5177,a,b,5219,a)]. given #4921 (H,wt=13): 5742 K((x \ 1) \ y,y) = K(y * x,y). [para(70(a,1),5740(a,1,1,2)),flip(a)]. given #4922 (H,wt=15): 5222 K(x / y,z) * x = y * T(y \ x,z). [para(5177(a,2),4581(a,1,1))]. given #4923 (H,wt=15): 5230 (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). [para(5182(a,2),2316(a,1,2))]. given #4924 (H,wt=15): 5232 K(x * K(y,y \ 1),z) = z / T(z,x). [para(4874(a,1),5182(a,2,2))]. given #4925 (H,wt=13): 5746 K(x * K(y,y \ 1),z) = K(x,z). [hyper(255,a,5182,a,b,5232,a)]. given #4926 (H,wt=13): 5747 K(x * K(y \ 1,y),z) = K(x,z). [para(1451(a,1),5746(a,1,1,2))]. given #4927 (H,wt=13): 5751 K(K(x \ 1,x) * y,z) = K(y,z). [para(2911(a,1),5746(a,1,1)),flip(a)]. given #4928 (H,wt=15): 5233 (x * T(x \ y,z)) / y = K(y / x,z). [hyper(255,a,4375,a,b,5186,a),flip(a)]. given #4929 (H,wt=15): 5238 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(255,a,4078,a,b,5186,a),flip(a)]. given #4930 (H,wt=15): 5240 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(255,a,3239,a,b,5186,a)]. given #4931 (H,wt=15): 5248 x \ K(y,x \ 1) = (y * (x \ 1)) / y. [hyper(80,a,5186,a,b,4078,a)]. given #4932 (H,wt=15): 5262 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1990(a,1),5186(a,2,2))]. given #4933 (H,wt=13): 5780 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(255,a,5186,a,b,5262,a)]. given #4934 (H,wt=15): 5278 x \ T(x,y / (z * y)) = K(x,z \ 1). [para(4660(a,2),5186(a,2,2)),flip(a)]. given #4935 (H,wt=13): 5782 K(x,y / (z * y)) = K(x,z \ 1). [hyper(5325,a,5278,a)]. given #4936 (H,wt=13): 5784 K(x,y / (z * y)) = K(x,1 / z). [hyper(255,a,3707,a,b,5782,a)]. given #4937 (H,wt=13): 5785 K(x,(y \ z) / z) = K(x,y \ 1). [para(19(a,1),5782(a,1,2,2))]. given #4938 (H,wt=13): 5786 K(x,(y / z) \ 1) = K(x,z / y). [para(21(a,1),5782(a,1,2,2)),flip(a)]. given #4939 (H,wt=13): 5788 K(x,1 / (y / z)) = K(x,z / y). [para(21(a,1),5784(a,1,2,2)),flip(a)]. given #4940 (H,wt=15): 5279 K(x,y * K(z,z \ 1)) = x \ T(x,y). [para(4874(a,1),5186(a,2,2))]. given #4941 (H,wt=13): 5794 K(x,y * K(z,z \ 1)) = K(x,y). [hyper(255,a,5186,a,b,5279,a)]. given #4942 (H,wt=13): 5795 K(x,y * K(z,1 / z)) = K(x,y). [para(1445(a,2),5794(a,1,2,2))]. given #4943 (H,wt=13): 5796 K(x,y * K(z \ 1,z)) = K(x,y). [para(1451(a,1),5794(a,1,2,2))]. given #4944 (H,wt=13): 5797 K(x,K(y,y \ 1) * z) = K(x,z). [para(2247(a,2),5794(a,1,2))]. given #4945 (H,wt=13): 5800 K(x,K(y \ 1,y) * z) = K(x,z). [para(2911(a,1),5794(a,1,2)),flip(a)]. given #4946 (H,wt=13): 5810 K(x,K(y,1 / y) * z) = K(x,z). [para(2259(a,2),5795(a,1,2))]. given #4947 (H,wt=15): 5298 T(x * K(y,x),z) * y = y * T(x,z). [para(5216(a,1),182(a,1,2,1)),flip(a)]. given #4948 (H,wt=14): 5820 T(x * K(x * y,x),y) = R(x,y,x). [hyper(23,a,4475,a,b,5298,a)]. given #4949 (H,wt=15): 5299 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(5216(a,1),205(a,1,1,2,1)),flip(a)]. given #4950 (H,wt=15): 5333 (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). [para(5252(a,2),1929(a,1,1)),flip(a)]. given #4951 (H,wt=15): 5334 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(3309(a,1),5252(a,2,2)),flip(a)]. given #4952 (H,wt=15): 5337 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(255,a,43,a,b,5263,a(flip))]. given #4953 (H,wt=14): 5829 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(5337(a,1),5264(a,1))]. given #4954 (H,wt=15): 5377 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(128(a,1),5368(a,1,1))]. given #4955 (H,wt=15): 5380 K(x / (x / y),y \ x) = K(y,y \ x). [para(4506(a,1),5368(a,1,1)),flip(a)]. given #4956 (H,wt=15): 5388 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(45(a,2),5373(a,1,2))]. given #4957 (H,wt=15): 5389 K(x \ y,(x \ y) \ y) = K(x \ y,x). [para(128(a,1),5373(a,1,2))]. given #4958 (H,wt=15): 5414 (T(x,y) * y) / T(x,y) = y * K(x,y). [para(5215(a,2),4442(a,2,2))]. given #4959 (H,wt=15): 5417 x \ K(y,1 / x) = (y * (x \ 1)) / y. [hyper(255,a,3719,a(flip),b,5217,a),flip(a)]. given #4960 (H,wt=15): 5421 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(26,a,5217,a)]. given #4961 (H,wt=15): 5424 x \ T(x * y,y) = y * K(x * y,y). [hyper(255,a,4148,a(flip),b,5217,a(flip)),flip(a)]. given #4962 (H,wt=15): 5435 (x * K(x * y,x)) * y = T(x * y,x). [para(5217(a,1),980(a,1,1))]. given #4963 (H,wt=15): 5454 T(x,y * x) * (x \ 1) = K(x,x * y). [para(4563(a,2),5243(a,2,1)),flip(a)]. given #4964 (H,wt=11): 5842 K(x,y * x) = K(x,x * y). [hyper(5456,a,5454,a)]. given #4965 (H,wt=11): 5844 K(x,x * (y / x)) = K(x,y). [para(21(a,1),5842(a,1,2)),flip(a)]. given #4966 (H,wt=14): 5843 K(x,x * y) != z | K(x,y * x) = z. [para(5454(a,1),5456(a,1))]. given #4967 (H,wt=15): 5455 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5381(a,1),5243(a,2,2)),flip(a)]. given #4968 (H,wt=15): 5537 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(22,a,4582,a,b,5220,a),flip(a)]. given #4969 (H,wt=15): 5538 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(22,a,1086,a,b,5220,a)]. given #4970 (H,wt=15): 5550 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(255,a,5220,a,b,5221,a(flip)),flip(a)]. given #4971 (H,wt=15): 5551 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(255,a,4644,a,b,5221,a(flip)),flip(a)]. given #4972 (H,wt=15): 5555 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(80,a,5221,a(flip),b,5220,a)]. given #4973 (H,wt=15): 5558 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(5186(a,2),5221(a,1,2)),flip(a)]. given #4974 (H,wt=15): 5561 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(255,a,4778,a,b,5225,a(flip)),flip(a)]. given #4975 (H,wt=15): 5562 x \ (((y * x) / y) * z) = K(y,x) * z. [hyper(255,a,4777,a,b,5225,a(flip)),flip(a)]. given #4976 (H,wt=15): 5589 K(x,(x \ 1) * y) * y = x * (y / x). [para(4690(a,2),5271(a,1,1))]. given #4977 (H,wt=15): 5607 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(223,a,5600,a),flip(a)]. given #4978 (H,wt=15): 5626 K(x,y) * (K(z,y) * K(y,x)) = K(z,y). [hyper(22,a,2075,a,b,5608,a)]. given #4979 (H,wt=15): 5628 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(22,a,2075,a(flip),b,5608,a)]. given #4980 (H,wt=15): 5638 T(x,x \ y) / (y \ x) = x * (y / x). [para(5290(a,1),4181(a,1,1))]. given #4981 (H,wt=15): 5640 T(K(x,y) / (1 / y),x) = 1 / (1 / y). [para(73(a,1),5309(a,1,1,1,2))]. given #4982 (H,wt=15): 5647 T(x,y \ K(y,z)) = T(x,z / (z * y)). [para(5360(a,1),4661(a,1,2))]. given #4983 (H,wt=15): 5654 (x * (y / x)) \ x = y \ (y / (y / x)). [para(5425(a,2),1610(a,1,2)),flip(a)]. given #4984 (H,wt=15): 5667 T(x / y,z) \ x = K(x / y,z) \ y. [hyper(523,a,5534,a),flip(a)]. given #4985 (H,wt=15): 5682 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(5252(a,2),5559(a,1,2))]. given #4986 (H,wt=15): 5683 K(x,y) * (y * z) = y * (K(x,y) * z). [para(5559(a,1),5225(a,1,2)),flip(a)]. given #4987 (H,wt=15): 5686 x * (K(y,x) * (x \ z)) = K(y,x) * z. [para(5560(a,2),5225(a,1,2))]. given #4988 (H,wt=15): 5688 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(1137,a,5564,a)]. given #4989 (H,wt=15): 5697 (x \ K(x,y)) * ((x \ 1) \ 1) = K(x,y). [para(5645(a,1),169(a,1,2))]. given #4990 (H,wt=15): 5729 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(255,a,4301,a,b,5155,a(flip)),flip(a)]. given #4991 (H,wt=15): 5731 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(5189(a,1),19(a,1,2)),flip(a)]. given #4992 (H,wt=15): 5736 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(5217(a,1),5213(a,1,1))]. given #4993 (H,wt=15): 5737 K(x,y) * (((y * x) / y) * z) = x * z. [para(18(a,1),5214(a,1,2)),flip(a)]. given #4994 (H,wt=15): 5739 x * ((x * K(y,x)) \ z) = K(x,y) * z. [para(5217(a,1),5214(a,1,2,1))]. given #4995 (H,wt=14): 5879 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(4040,a,5739,a),flip(a)]. given #4996 (H,wt=15): 5744 x / (y * T(y \ x,z)) = K(z,x / y). [para(5222(a,1),5605(a,1,2))]. given #4997 (H,wt=15): 5745 K(x,y) / (1 / T(y,x)) = 1 / (1 / y). [para(5230(a,1),70(a,1,2))]. given #4998 (H,wt=15): 5749 K(x * (1 / (1 / y)),z) = K(x * y,z). [para(2825(a,1),5746(a,1,1)),flip(a)]. given #4999 (H,wt=15): 5750 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(2895(a,1),5746(a,1,1))]. given #5000 (H,wt=15): 5752 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2910(a,1),5746(a,1,1))]. given #5001 (H,wt=15): 5753 K(x / (1 / y),z) = K(x / (y \ 1),z). [para(2922(a,1),5746(a,1,1)),flip(a)]. given #5002 (H,wt=15): 5754 K(((x \ 1) \ 1) * y,z) = K(x * y,z). [para(3069(a,1),5746(a,1,1))]. given #5003 (H,wt=15): 5755 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(3091(a,1),5746(a,1,1)),flip(a)]. given #5004 (H,wt=15): 5756 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(3097(a,1),5746(a,1,1))]. given #5005 (H,wt=15): 5762 K(x \ K(y \ 1,y),z) = K(x \ 1,z). [para(4861(a,1),5747(a,1,1))]. given #5006 (H,wt=15): 5763 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4951(a,1),5747(a,1,1)),flip(a)]. given #5007 (H,wt=15): 5766 K((1 / (1 / x)) * (x \ y),z) = K(y,z). [para(3218(a,2),5751(a,1,1))]. given #5008 (H,wt=15): 5798 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(2895(a,1),5794(a,1,2))]. given #5009 (H,wt=13): 5890 K(x,(y \ 1) \ x) = K(x,x * y). [hyper(255,a,5780,a(flip),b,5798,a(flip)),flip(a)]. given #5010 (H,wt=15): 5799 K(x,y * T(z,z \ 1)) = K(x,y * z). [para(2896(a,1),5794(a,1,2))]. given #5011 (H,wt=15): 5801 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(2910(a,1),5794(a,1,2))]. given #5012 (H,wt=15): 5805 K(x,T(y,y \ 1) * z) = K(x,y * z). [para(3028(a,1),5794(a,1,2))]. given #5013 (H,wt=15): 5807 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(3097(a,1),5794(a,1,2))]. given #5014 (H,wt=15): 5808 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(3194(a,1),5794(a,1,2))]. given #5015 (H,wt=15): 5818 K(x,K(y,1 / y) / z) = K(x,1 / z). [para(3946(a,1),5810(a,1,2))]. given #5016 (H,wt=15): 5822 T((x * y) / x,z) = T(y * K(x,y),z). [hyper(23,a,397,a,b,5298,a),flip(a)]. given #5017 (H,wt=15): 5841 x \ T(x * y,y) = y * K(y * x,y). [hyper(23,a,5025,a,b,5435,a),flip(a)]. given #5018 (H,wt=11): 5894 K(x * y,y) = K(y * x,y). [hyper(22,a,5424,a(flip),b,5841,a(flip)),flip(a)]. given #5019 (H,wt=13): 5895 K((x \ 1) \ y,y) = K(x * y,y). [hyper(255,a,5742,a,b,5894,a),flip(a)]. given #5020 (H,wt=13): 5896 K((1 / x) * y,y) = K(x \ y,y). [hyper(255,a,5740,a(flip),b,5894,a)]. given #5021 (H,wt=15): 5849 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(5217(a,1),5537(a,1,1))]. given #5022 (H,wt=15): 5853 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(255,a,3323,a(flip),b,5558,a)]. given #5023 (H,wt=15): 5855 K(x,y) * (y * z) = ((x * y) / x) * z. [para(18(a,1),5561(a,1,2)),flip(a)]. given #5024 (H,wt=15): 5858 ((x * y) / x) * z = y * (K(x,y) * z). [para(5562(a,1),19(a,1,2)),flip(a)]. given #5025 (H,wt=15): 5861 T(x,y / x) / (y \ x) = x * (y / x). [para(4463(a,2),5638(a,1,1))]. given #5026 (H,wt=15): 5864 x * ((y * (x / y)) \ y) = x / (x / y). [para(5654(a,2),19(a,1,2))]. given #5027 (H,wt=15): 5865 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(255,a,2075,a,b,5682,a)]. given #5028 (H,wt=15): 5875 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [hyper(605,a,5697,a)]. given #5029 (H,wt=15): 5885 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(5190(a,2),5745(a,1,2))]. given #5030 (H,wt=15): 5889 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(189(a,1),5762(a,1,1,2))]. given #5031 (H,wt=15): 5892 K(x,(1 / x) * y) * y = x * (y / x). [para(5807(a,2),5589(a,1,1))]. given #5032 (H,wt=15): 5901 (x * K(y,x)) * z = K(y,x) * (x * z). [para(5217(a,1),5855(a,2,1)),flip(a)]. given #5033 (H,wt=8): 5909 L(x,y,K(z,y)) = x. [hyper(22,a,3156,a,b,5901,a),flip(a)]. given #5034 (H,wt=10): 5910 L(x,T(y,z),K(z,y)) = x. [para(4195(a,1),5909(a,1,3))]. given #5035 (H,wt=15): 5902 (K(x,y) * y) * z = K(x,y) * (y * z). [para(5267(a,1),5855(a,2,1)),flip(a)]. given #5036 (H,wt=10): 5911 R(K(x,y),y,z) = K(x,y). [hyper(5091,a,5902,a)]. given #5037 (H,wt=15): 5906 (x * K(y,x)) * z = x * (K(y,x) * z). [para(5217(a,1),5858(a,1,1))]. given #5038 (H,wt=8): 5912 R(x,K(y,x),z) = x. [hyper(5091,a,5906,a)]. given #5039 (H,wt=8): 5913 L(x,K(y,z),z) = x. [hyper(422,a,5906,a)]. given #5040 (H,wt=16): 5169 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(5158(a,1),4593(a,1,1))]. given #5041 (H,wt=16): 5228 K(x,y) * T(y,x) != z * u | z \ y = u. [para(5182(a,2),299(a,1,1))]. given #5042 (H,wt=16): 5256 (x * y) \ (x * T(y,z)) = L(K(y,z),y,x). [para(5186(a,2),114(a,1,1)),flip(a)]. given #5043 (H,wt=16): 5257 x * K(x,y) != z * u | T(x,y) / u = z. [para(5186(a,2),297(a,1,2))]. given #5044 (H,wt=16): 5258 x * K(x,y) != z * u | z \ T(x,y) = u. [para(5186(a,2),368(a,1,2))]. given #5045 (H,wt=16): 5275 K(x,y) \ z != u | x * (T(x,y) \ z) = u. [para(5186(a,2),4394(a,1,1))]. given #5046 (H,wt=16): 5282 T(x,y) \ x != z * u | z \ K(y,x) = u. [para(5194(a,1),309(a,1,2))]. given #5047 (H,wt=16): 5283 T(x,y) \ x != z * u | K(y,x) / u = z. [para(5194(a,1),416(a,1,2))]. given #5048 (H,wt=16): 5315 K(x,y) * x != z * u | T(x,y) / u = z. [para(5242(a,2),369(a,1,1))]. given #5049 (H,wt=16): 5316 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(5242(a,2),874(a,1))]. given #5050 (H,wt=16): 5329 x \ T(x,y) != z * u | z \ K(x,y) = u. [para(5252(a,2),309(a,1,2))]. given #5051 (H,wt=16): 5378 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(716(a,1),5368(a,1,1)),flip(a)]. given #5052 (H,wt=16): 5419 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [hyper(80,a,5217,a,b,1611,a)]. given #5053 (H,wt=15): 5927 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(255,a,4082,a(flip),b,5419,a(flip)),flip(a)]. given #5054 (H,wt=16): 5483 (1 / x) * T(x,y) != z | x \ T(x,y) = z. [para(5241(a,1),5218(a,1))]. given #5055 (H,wt=16): 5488 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(4430(a,1),5281(a,1))]. given #5056 (H,wt=16): 5489 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(4431(a,2),5281(a,1))]. given #5057 (H,wt=16): 5496 T(x,x \ 1) / x != y | K(x,1 / x) = y. [para(1257(a,1),5341(a,1,1))]. given #5058 (H,wt=16): 5507 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(5368(a,2),5403(a,1))]. given #5059 (H,wt=16): 5520 K(x \ 1,y) != x * z | T(x \ 1,y) = z. [para(5187(a,1),24(a,1))]. given #5060 (H,wt=16): 5542 T(x,y) * z != x * u | K(x,y) * z = u. [para(5220(a,1),24(a,1))]. given #5061 (H,wt=16): 5565 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(5225(a,1),1106(a,1))]. given #5062 (H,wt=16): 5566 K(x,y) * z != u | T(y,x) \ (y * z) = u. [para(5225(a,1),1127(a,1))]. given #5063 (H,wt=16): 5568 K(x,y) \ (y * z) != u | T(y,x) * z = u. [para(5226(a,1),222(a,1,2)),flip(b)]. given #5064 (H,wt=16): 5570 x * (T(x,y) \ z) != u | K(y,x) * z = u. [para(5226(a,1),310(a,1))]. given #5065 (H,wt=16): 5575 K(1 / x,y) / x != z | T(1 / x,y) = z. [para(5245(a,1),617(a,1,1))]. given #5066 (H,wt=16): 5593 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(5272(a,1),310(a,1))]. given #5067 (H,wt=16): 5631 K(1 / x,x) != y | K(x,x \ 1) \ 1 = y. [para(1533(a,2),5624(a,1))]. given #5068 (H,wt=16): 5634 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(5274(a,1),220(a,1,2)),flip(b)]. given #5069 (H,wt=16): 5657 (x \ y) * K(x,x \ y) != z | y / x = z. [para(5447(a,1),220(a,1,2)),flip(b)]. given #5070 (H,wt=16): 5662 x * (y / x) != y * z | K(x,x \ y) = z. [para(5472(a,1),24(a,1))]. given #5071 (H,wt=16): 5668 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(5534(a,1),220(a,1,2)),flip(b)]. given #5072 (H,wt=16): 5671 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5536(a,1),24(a,1))]. given #5073 (H,wt=16): 5678 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(5559(a,1),220(a,1,2)),flip(b)]. given #5074 (H,wt=16): 5680 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(5559(a,1),1103(a,1))]. given #5075 (H,wt=16): 5689 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(5564(a,1),222(a,1,2)),flip(b)]. given #5076 (H,wt=16): 5694 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5603(a,1),304(a,1,1)),flip(b)]. given #5077 (H,wt=16): 5709 T(x,x * y) \ T(x,y) = x \ R(x,y,x). [hyper(80,a,5541,a(flip),b,5225,a),flip(a)]. given #5078 (H,wt=16): 5720 K(x,x \ 1) != y | T(K(x,x \ 1),z) = y. [para(2243(a,1),5643(a,1))]. given #5079 (H,wt=16): 5721 T(x,T(T(y,x),z)) != u | T(x,T(y,z)) = u. [para(4459(a,1),5643(a,1,2))]. given #5080 (H,wt=16): 5723 T(x,(y \ z) / z) != u | T(x,y \ 1) = u. [para(4658(a,1),5718(a,1))]. given #5081 (H,wt=16): 5724 K(x,x * y) * K(y,x) = x \ L(x,y,x). [hyper(80,a,5707,a(flip),b,5220,a),flip(a)]. given #5082 (H,wt=16): 5726 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(80,a,5708,a(flip),b,5220,a),flip(a)]. given #5083 (H,wt=16): 5728 (K(x,y) \ 1) * z != u | K(x,y) \ z = u. [para(5381(a,2),5712(a,1,1))]. given #5084 (H,wt=16): 5741 K(x * (1 / y),x) != z | K(y \ x,x) = z. [para(5219(a,2),5281(a,1))]. given #5085 (H,wt=16): 5781 K(x,x * (y \ 1)) != z | K(x,y \ x) = z. [para(5262(a,2),5325(a,1))]. given #5086 (H,wt=16): 5789 K(x,y / (z * y)) != u | K(x,z \ 1) = u. [para(5784(a,2),5580(a,1))]. given #5087 (H,wt=16): 5793 K(x,y / z) != u | K(x,(z / y) \ 1) = u. [para(5788(a,1),5580(a,1))]. given #5088 (H,wt=16): 5935 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(19(a,1),5634(a,1,2))]. given #5089 (H,wt=16): 5940 T(x,y) * z != u | x * (K(x,y) * z) = u. [para(5608(a,1),5678(a,1,2))]. given #5090 (H,wt=16): 5942 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(255,a,5682,a(flip),b,5709,a(flip)),flip(a)]. given #5091 (H,wt=16): 5943 T(x,y / z) != u | T(x,(z / y) \ 1) = u. [para(73(a,1),5723(a,1,2,1))]. given #5092 (H,wt=16): 5944 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(2076,a,5724,a)]. given #5093 (H,wt=16): 5946 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5894(a,2),5726(a,1,2))]. given #5094 (H,wt=16): 5948 K(x * y,x) != z | K((y \ 1) \ x,x) = z. [para(70(a,1),5741(a,1,1,2))]. given #5095 (H,wt=16): 5949 K(x * (y \ 1),x) != z | K(y \ x,x) = z. [para(5752(a,1),5741(a,1))]. given #5096 (H,wt=16): 5950 K((1 / x) * y,y) != z | K(x \ y,y) = z. [para(5894(a,2),5741(a,1))]. given #5097 (H,wt=16): 5951 K(x,(y \ z) / z) != u | K(x,y \ 1) = u. [para(19(a,1),5789(a,1,2,2))]. given #5098 (H,wt=16): 5958 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(5894(a,2),5942(a,1,1))]. given #5099 (H,wt=17): 5168 (x / y) * (y * K(y \ x,y)) = (y \ x) * y. [para(5158(a,1),4210(a,1,2))]. given #5100 (H,wt=17): 5170 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(4630(a,1),5158(a,2,2))]. given #5101 (H,wt=17): 5185 T(T(x,y) \ x,z) = K((z \ (y \ z)) \ 1,x). [hyper(255,a,4785,a(flip),b,5177,a),flip(a)]. given #5102 (H,wt=15): 5961 K((x \ (y \ x)) \ 1,z) = T(K(y,z),x). [para(5177(a,2),5185(a,1,1)),flip(a)]. given #5103 (H,wt=15): 5962 T(K(x / y,z),x) = K((x \ y) \ 1,z). [para(73(a,1),5961(a,1,1,1,2)),flip(a)]. given #5104 (H,wt=17): 5223 K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z). [para(5177(a,2),4436(a,1,1)),flip(a)]. given #5105 (H,wt=15): 5965 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(5489,a,5223,a)]. given #5106 (H,wt=15): 5967 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(73(a,1),5965(a,2,1,1))]. given #5107 (H,wt=15): 5968 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3312(a,1),5965(a,2,1))]. given #5108 (H,wt=15): 5969 K(1 / T(x,y),z) = T(K(1 / x,z),y). [para(2227(a,1),5967(a,1,1))]. given #5109 (H,wt=17): 5224 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(5177(a,2),4437(a,1,2)),flip(a)]. given #5110 (H,wt=17): 5244 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [hyper(255,a,4236,a(flip),b,5186,a),flip(a)]. given #5111 (H,wt=15): 5971 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(5186(a,2),5244(a,1,1)),flip(a)]. given #5112 (H,wt=15): 5973 K(x,T(y,z) \ 1) = T(K(x,1 / y),z). [para(5250(a,1),5244(a,1,1)),flip(a)]. given #5113 (H,wt=15): 5974 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(73(a,1),5971(a,2,1,2))]. given #5114 (H,wt=12): 5981 K(x,R(T(K(x,y),z),u,w)) = 1. [para(5974(a,1),3339(a,1,2,1))]. given #5115 (H,wt=15): 5976 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(3702(a,1),5971(a,2,1))]. given #5116 (H,wt=15): 5979 K(x,1 / T(y,z)) = T(K(x,1 / y),z). [hyper(255,a,3707,a,b,5973,a(flip)),flip(a)]. given #5117 (H,wt=15): 5980 K(x,1 / T(1 / y,z)) = T(K(x,y),z). [hyper(255,a,3707,a,b,5974,a(flip)),flip(a)]. given #5118 (H,wt=15): 5982 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(5731(a,1),5974(a,1,2))]. given #5119 (H,wt=17): 5286 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(3708(a,1),5197(a,2,2)),flip(a)]. given #5120 (H,wt=17): 5300 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(5216(a,1),183(a,1,2,1)),flip(a)]. given #5121 (H,wt=17): 5301 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(5216(a,1),184(a,1,2,1)),flip(a)]. given #5122 (H,wt=17): 5302 T((x * (y * K(z,y))) / x,z) = (x * y) / x. [para(5216(a,1),404(a,1,1,2)),flip(a)]. given #5123 (H,wt=17): 5305 T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). [para(5216(a,1),2230(a,1,2,2)),flip(a)]. given #5124 (H,wt=15): 5987 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(5649(a,1),5305(a,1,1,2))]. given #5125 (H,wt=17): 5311 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(5216(a,1),4462(a,1,2,1)),flip(a)]. given #5126 (H,wt=17): 5319 x * K(x,y * (z \ 1)) = T(x,y * (1 / z)). [hyper(255,a,4883,a,b,5252,a(flip))]. given #5127 (H,wt=17): 5390 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(187(a,1),5373(a,1,2)),flip(a)]. given #5128 (H,wt=17): 5408 K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. [para(5192(a,2),3529(a,2,1))]. given #5129 (H,wt=17): 5413 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [para(5215(a,2),4358(a,1,1))]. given #5130 (H,wt=17): 5416 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(4257,a,5217,a)]. given #5131 (H,wt=17): 5418 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(255,a,3712,a(flip),b,5217,a),flip(a)]. given #5132 (H,wt=17): 5422 T(x * y,y) / T(x,y) = y * K(x * y,y). [hyper(255,a,1122,a,b,5217,a(flip)),flip(a)]. given #5133 (H,wt=17): 5431 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(5217(a,1),767(a,1,1))]. given #5134 (H,wt=17): 5432 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(5217(a,1),775(a,1,1))]. given #5135 (H,wt=17): 5444 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(5217(a,1),5079(a,1,1,2))]. given #5136 (H,wt=17): 5445 K(x,y) / (1 / y) = (x * (1 / (1 / y))) / x. [hyper(81,a,5237,a,b,1619,a)]. given #5137 (H,wt=17): 5451 K(x,y) * K(x \ 1,x) = (x \ 1) * T(x,y). [para(5241(a,2),3098(a,1,1))]. given #5138 (H,wt=17): 5491 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(542(a,2),5325(a,1,2))]. given #5139 (H,wt=17): 5512 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(255,a,1582,a(flip),b,5179,a(flip)),flip(a)]. given #5140 (H,wt=13): 5998 K((x / y) \ 1,z) = K(y / x,z). [hyper(255,a,5233,a(flip),b,5512,a(flip))]. given #5141 (H,wt=13): 6002 K((x / y) \ 1,x) = K(x \ y,x). [hyper(255,a,5376,a(flip),b,5998,a)]. given #5142 (H,wt=13): 6003 K(1 / (x / y),z) = K(y / x,z). [hyper(255,a,3309,a,b,5998,a(flip)),flip(a)]. given #5143 (H,wt=13): 6004 K(x / (y * x),z) = K(y \ 1,z). [para(20(a,1),5998(a,1,1,1)),flip(a)]. given #5144 (H,wt=13): 6005 K((x / (y * x)) \ 1,z) = K(y,z). [para(20(a,1),5998(a,2,1))]. given #5145 (H,wt=13): 6006 K((x \ y) / y,z) = K(x \ 1,z). [para(70(a,1),5998(a,1,1,1)),flip(a)]. given #5146 (H,wt=13): 6009 K(x \ (y \ x),x) = K(y \ 1,x). [para(70(a,1),6002(a,1,1,1)),flip(a)]. given #5147 (H,wt=15): 6008 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(255,a,4683,a(flip),b,6002,a)]. given #5148 (H,wt=16): 6007 K((x / y) \ 1,x) != z | K(x \ y,x) = z. [para(5998(a,2),5665(a,1))]. given #5149 (H,wt=17): 5513 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(255,a,1559,a(flip),b,5179,a(flip)),flip(a)]. given #5150 (H,wt=17): 5514 K((x * y) \ x,x * y) = K(y \ 1,x * y). [para(20(a,1),5179(a,1,1,2))]. given #5151 (H,wt=17): 5515 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(5179(a,1),1557(a,2,2))]. given #5152 (H,wt=17): 5517 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(5179(a,1),1581(a,1,1))]. given #5153 (H,wt=17): 5533 K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. [para(5210(a,1),263(a,1,2))]. given #5154 (H,wt=15): 6028 (x \ K(x,y)) * x = (x \ 1) * T(x,y). [hyper(255,a,5451,a(flip),b,5533,a(flip))]. given #5155 (H,wt=17): 5535 K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)). [hyper(80,a,127,a(flip),b,5220,a),flip(a)]. given #5156 (H,wt=17): 5544 T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). [para(127(a,1),5220(a,1,2)),flip(a)]. given #5157 (H,wt=17): 5545 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(2075(a,1),5220(a,1,2))]. given #5158 (H,wt=17): 5547 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(873,a,5221,a)]. given #5159 (H,wt=17): 5567 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(5186(a,2),5225(a,1,2)),flip(a)]. given #5160 (H,wt=17): 5572 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(895(a,1),5236(a,2,1)),flip(a)]. given #5161 (H,wt=17): 5574 (x * T(x \ y,z)) / y = K(1 / (x / y),z). [hyper(255,a,1580,a(flip),b,5245,a(flip)),flip(a)]. given #5162 (H,wt=17): 5627 K(x,y) * (R(x,z,u) * K(y,x)) = R(x,z,u). [hyper(22,a,3146,a(flip),b,5608,a)]. given #5163 (H,wt=17): 5641 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(81,a,526,a(flip),b,5312,a),flip(a)]. given #5164 (H,wt=17): 5660 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(5471(a,1),5271(a,1,1))]. given #5165 (H,wt=17): 5681 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(5194(a,1),5559(a,1,2)),flip(a)]. given #5166 (H,wt=17): 5691 K(x * y,x / (x * y)) = K(x * y,1 / y). [para(20(a,1),5576(a,1,2,1))]. given #5167 (H,wt=17): 5693 (x / y) * K(x,1 / y) = x * ((x / y) / x). [para(5576(a,1),264(a,1,2))]. given #5168 (H,wt=17): 5732 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [para(5191(a,1),2870(a,1,1)),flip(a)]. given #5169 (H,wt=17): 5758 K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). [para(4878(a,2),5746(a,1,1))]. given #5170 (H,wt=17): 5759 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4879(a,2),5746(a,1,1))]. given #5171 (H,wt=17): 5764 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4950(a,2),5747(a,1,1))]. given #5172 (H,wt=17): 5809 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(4967(a,2),5794(a,1,2))]. given #5173 (H,wt=17): 5811 K(x,y * (z * K(u,1 / u))) = K(x,y * z). [para(4868(a,1),5795(a,1,2))]. given #5174 (H,wt=17): 5812 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4950(a,2),5796(a,1,2))]. given #5175 (H,wt=17): 5813 K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). [para(4955(a,1),5797(a,1,2))]. given #5176 (H,wt=17): 5814 K(x,T(y * K(z,z \ 1),u)) = K(x,T(y,u)). [para(5075(a,2),5797(a,1,2))]. given #5177 (H,wt=17): 5819 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(23,a,5265,a,b,5298,a),flip(a)]. given #5178 (H,wt=17): 5826 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(80,a,5299,a,b,5217,a(flip))]. given #5179 (H,wt=17): 5827 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(5299(a,2),5180(a,2,1)),flip(a)]. given #5180 (H,wt=17): 5839 x \ (y * T(y \ x,x)) = K((1 / y) * x,x). [hyper(930,a,5424,a)]. given #5181 (H,wt=17): 5846 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(19(a,1),5537(a,1,1,1)),flip(a)]. given #5182 (H,wt=17): 5847 (x / (x / y)) \ z = K(y,x / y) * (y \ z). [para(21(a,1),5537(a,1,1,1))]. given #5183 (H,wt=17): 5850 x * (K(x,y) * T(z,x)) = K(x,y) * (z * x). [hyper(255,a,5220,a,b,5538,a),flip(a)]. given #5184 (H,wt=17): 5859 x \ ((y / (y / x)) * z) = K(x \ y,x) * z. [para(4524(a,1),5562(a,1,2,1))]. given #5185 (H,wt=17): 5860 T(x,x \ (y * x)) / ((y * x) \ x) = x * y. [para(20(a,1),5638(a,2,2))]. given #5186 (H,wt=15): 6059 T(x,T(y,x)) / ((y * x) \ x) = x * y. [para(37(a,2),5860(a,1,1,2))]. given #5187 (H,wt=13): 6060 T(x,y) / ((y * x) \ x) = x * y. [para(4446(a,1),6059(a,1,1))]. given #5188 (H,wt=13): 6061 T(x,y) = (x * y) * ((y * x) \ x). [para(6060(a,1),21(a,1,1)),flip(a)]. given #5189 (H,wt=13): 6062 (x * y) \ T(x,y) = (y * x) \ x. [para(6060(a,1),73(a,1,1))]. given #5190 (H,wt=14): 6065 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(255,a,4779,a,b,6062,a(flip)),flip(a)]. given #5191 (H,wt=15): 6064 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(80,a,6061,a,b,99,a(flip)),flip(a)]. given #5192 (H,wt=17): 5862 (K(x,y) / (1 / y)) * x = x * (1 / (1 / y)). [para(5640(a,1),127(a,1,2)),flip(a)]. given #5193 (H,wt=17): 5876 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(18(a,1),5729(a,1,1,1)),flip(a)]. given #5194 (H,wt=13): 6068 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(255,a,615,a(flip),b,5876,a(flip)),flip(a)]. given #5195 (H,wt=17): 5877 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(19(a,1),5737(a,1,2,1,1))]. given #5196 (H,wt=17): 5881 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(255,a,3911,a,b,5879,a(flip)),flip(a)]. given #5197 (H,wt=17): 5882 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). [hyper(80,a,5879,a(flip),b,3911,a)]. given #5198 (H,wt=17): 5900 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(19(a,1),5855(a,2,1,1))]. given #5199 (H,wt=17): 5903 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(19(a,1),5858(a,1,1,1)),flip(a)]. given #5200 (H,wt=17): 5905 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(4524(a,1),5858(a,1,1))]. given #5201 (H,wt=17): 5963 T(K(x / y,z),x) \ 1 = K(z,(x \ y) \ 1). [para(5962(a,2),5381(a,1,1))]. given #5202 (H,wt=17): 5970 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). [para(5968(a,1),5394(a,1,2)),flip(a)]. given #5203 (H,wt=13): 6085 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(255,a,5976,a(flip),b,5970,a(flip))]. given #5204 (H,wt=13): 6086 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(6085(a,1),73(a,1,1))]. given #5205 (H,wt=15): 6087 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [para(6085(a,1),5183(a,2,1)),flip(a)]. given #5206 (H,wt=11): 6092 K(K(x,y),z) = K(z,K(y,x)). [hyper(255,a,5455,a(flip),b,6087,a(flip)),flip(a)]. given #5207 (H,wt=13): 6093 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(5624,a,6092,a)]. given #5208 (H,wt=13): 6095 x * K(K(y,z),x) = T(x,K(z,y)). [para(6092(a,2),5252(a,2,2)),flip(a)]. given #5209 (H,wt=11): 6101 T(T(x,K(y,z)),K(z,y)) = x. [hyper(255,a,5266,a(flip),b,6095,a(flip))]. given #5210 (H,wt=11): 6105 T(K(x,y),K(z,y)) = K(x,y). [para(2072(a,1),6101(a,1,1))]. given #5211 (H,wt=11): 6106 T(K(x,y),K(x,z)) = K(x,y). [para(2074(a,1),6101(a,1,1))]. given #5212 (H,wt=14): 6099 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(6093(a,1),5384(a,1))]. given #5213 (H,wt=15): 6088 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(255,a,5963,a(flip),b,6086,a(flip))]. given #5214 (H,wt=15): 6090 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(6086(a,1),5184(a,2,2)),flip(a)]. given #5215 (H,wt=15): 6094 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(6092(a,1),5252(a,2,2)),flip(a)]. given #5216 (H,wt=15): 6096 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(6092(a,1),5263(a,2,1)),flip(a)]. given #5217 (H,wt=15): 6100 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(5657,a,6095,a),flip(a)]. given #5218 (H,wt=15): 6102 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(6095(a,1),5265(a,1,1))]. given #5219 (H,wt=15): 6107 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(80,a,6105,a(flip),b,5607,a)]. given #5220 (H,wt=15): 6108 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(6105(a,1),127(a,1,2))]. given #5221 (H,wt=15): 6110 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(6106(a,1),127(a,1,2))]. given #5222 (H,wt=16): 6097 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(6092(a,1),5384(a,1,1))]. given #5223 (H,wt=14): 6119 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(5381(a,1),6097(a,1))]. given #5224 (H,wt=17): 5975 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(5971(a,2),127(a,1,2))]. given #5225 (H,wt=17): 5988 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(5987(a,1),127(a,1,2)),flip(a)]. given #5226 (H,wt=15): 6123 K(x,y) / (1 / y) = 1 / (K(y,x) / y). [hyper(23,a,5862,a,b,5988,a),flip(a)]. given #5227 (H,wt=17): 5990 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(255,a,2310,a(flip),b,5418,a),flip(a)]. given #5228 (H,wt=15): 6125 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(5360(a,1),5990(a,1,1))]. given #5229 (H,wt=17): 6022 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [hyper(81,a,5515,a(flip),b,396,a)]. given #5230 (H,wt=17): 6026 x \ (y * T(y \ x,x)) = K((y / x) \ 1,x). [hyper(80,a,5517,a(flip),b,3141,a(flip))]. given #5231 (H,wt=15): 6126 K((x / y) \ 1,y) = K((1 / x) * y,y). [hyper(255,a,5839,a(flip),b,6026,a(flip))]. given #5232 (H,wt=13): 6127 K((x / y) \ 1,y) = K(x \ y,y). [hyper(255,a,5896,a(flip),b,6126,a)]. given #5233 (H,wt=11): 6128 K(x / y,x) = K(y \ x,x). [hyper(255,a,5998,a(flip),b,6127,a(flip)),flip(a)]. given #5234 (H,wt=11): 6129 K((x \ y) \ y,y) = K(x,y). [para(70(a,1),6128(a,1,1)),flip(a)]. given #5235 (H,wt=17): 6029 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(3165,a,5567,a)]. given #5236 (H,wt=17): 6032 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(81,a,4178,a,b,5660,a)]. given #5237 (H,wt=17): 6036 (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. [hyper(255,a,3175,a(flip),b,5732,a(flip)),flip(a)]. given #5238 (H,wt=17): 6053 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(5622,a,5846,a)]. given #5239 (H,wt=17): 6056 (x \ y) * K(x,1 / x) = (1 / (1 / x)) \ y. [hyper(255,a,2259,a(flip),b,5847,a),flip(a)]. given #5240 (H,wt=17): 6075 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(22,a,3996,a,b,5881,a),flip(a)]. given #5241 (H,wt=17): 6112 T(K(x,y),y * z) = K(x,((y * z) \ z) \ 1). [para(20(a,1),6088(a,1,1,2))]. given #5242 (H,wt=17): 6113 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(6088(a,1),127(a,1,2))]. given #5243 (H,wt=17): 6117 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(5275,a,6107,a)]. given #5244 (H,wt=17): 6118 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(5935,a,6110,a)]. given #5245 (H,wt=17): 6124 ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). [para(5217(a,1),5990(a,1,1,1))]. given #5246 (H,wt=17): 6130 (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. [hyper(255,a,5421,a,b,6036,a(flip)),flip(a)]. given #5247 (H,wt=17): 6132 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(87,a,6075,a)]. given #5248 (H,wt=15): 6135 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(255,a,5098,a(flip),b,6132,a(flip)),flip(a)]. given #5249 (H,wt=17): 6136 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(255,a,5097,a(flip),b,6132,a(flip)),flip(a)]. given #5250 (H,wt=18): 5195 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(45(a,2),5177(a,2,1)),flip(a)]. given #5251 (H,wt=18): 5196 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(47(a,2),5177(a,2,1)),flip(a)]. given #5252 (H,wt=18): 5202 L(K(x,y),T(y,x),z) = (z * T(y,x)) \ (z * y). [para(5177(a,2),114(a,1,1))]. given #5253 (H,wt=18): 5253 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(45(a,2),5186(a,2,2)),flip(a)]. given #5254 (H,wt=18): 5254 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(47(a,2),5186(a,2,2)),flip(a)]. given #5255 (H,wt=18): 5260 L(K(x,y),x,z / x) = z \ ((z / x) * T(x,y)). [para(5186(a,2),440(a,1,1))]. given #5256 (H,wt=18): 5324 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [para(5252(a,2),35(a,2,2)),flip(a)]. given #5257 (H,wt=18): 5328 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(5252(a,2),123(a,2,1))]. given #5258 (H,wt=18): 5336 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(255,a,45,a,b,5263,a(flip))]. given #5259 (H,wt=16): 6143 L(T(x,y),z,u) != w | T(L(x,z,u),y) = w. [para(5336(a,1),5264(a,1))]. given #5260 (H,wt=18): 5345 L(x \ y,x,K(y,z)) = (K(y,z) * x) \ T(y,z). [para(5263(a,2),114(a,2,2))]. given #5261 (H,wt=18): 5366 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(5184(a,2),33(a,2,2,2)),flip(a)]. given #5262 (H,wt=18): 5379 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(707(a,1),5368(a,1,1)),flip(a)]. given #5263 (H,wt=18): 5391 K(x,(x * y) * (x \ 1)) = K(x,R(y,x,x \ 1)). [para(707(a,1),5373(a,1,2)),flip(a)]. given #5264 (H,wt=18): 5396 L(x \ K(y,z),x,K(z,y)) = (K(z,y) * x) \ 1. [para(5381(a,1),241(a,1,1,2))]. given #5265 (H,wt=18): 5427 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(5217(a,1),123(a,1,1))]. given #5266 (H,wt=18): 5429 R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). [para(5217(a,1),472(a,1,1))]. given #5267 (H,wt=18): 5434 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(5217(a,1),871(a,1,1,1))]. given #5268 (H,wt=18): 5440 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(5217(a,1),1847(a,2,1)),flip(a)]. given #5269 (H,wt=18): 5449 x * (y * K(z,y)) != u | x * ((z * y) / z) = u. [para(5239(a,2),310(a,1,2,2))]. given #5270 (H,wt=18): 5450 x * K(y,x) != z * u | z \ ((y * x) / y) = u. [para(5239(a,2),368(a,1,2))]. given #5271 (H,wt=18): 5462 ((x * y) / x) / y != z * u | K(x,y) / u = z. [para(5267(a,2),307(a,1,1))]. given #5272 (H,wt=18): 5463 L(((x * y) \ x) \ 1,(x * y) \ x,y * x) = y. [hyper(1612,a,5296,a)]. given #5273 (H,wt=18): 5484 (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. [para(3309(a,1),5255(a,1,2))]. given #5274 (H,wt=18): 5492 x \ T(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(2381(a,2),5325(a,1,2))]. given #5275 (H,wt=18): 5493 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(4375(a,2),5325(a,1))]. given #5276 (H,wt=16): 6146 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(5512(a,1),5493(a,1))]. given #5277 (H,wt=14): 6147 K(x \ 1,y) != z | K(1 / x,y) = z. [para(68(a,1),6146(a,1,1,1))]. given #5278 (H,wt=16): 6149 K(x / (y * x),z) != u | K(1 / y,z) = u. [para(6004(a,2),6147(a,1))]. given #5279 (H,wt=18): 5500 K(x,(y * x) \ y) \ 1 != z | K(x \ 1,x) = z. [para(2500(a,2),5384(a,1,1))]. given #5280 (H,wt=18): 5503 K(x,L(T(y,x),z,u)) != w | K(x,L(y,z,u)) = w. [para(45(a,2),5403(a,1,2))]. given #5281 (H,wt=18): 5504 K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w. [para(47(a,2),5403(a,1,2))]. given #5282 (H,wt=18): 5573 ((x * y) / x) * (y \ 1) != z | x \ T(x,y) = z. [para(5236(a,1),5218(a,1))]. given #5283 (H,wt=18): 5617 K(x,y) * (K(y,x) * z) != u * w | u \ z = w. [para(5600(a,1),309(a,1))]. given #5284 (H,wt=18): 5646 (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. [para(4511(a,1),5360(a,1,1)),flip(a)]. given #5285 (H,wt=18): 5704 K(x \ R(x,y,z),x) = (x \ K(x,x \ 1)) * x. [para(1450(a,2),5365(a,2,1))]. given #5286 (H,wt=18): 5706 T(K(x,y),z) * K(y,x) != u | K(K(x,y),z) = u. [para(5381(a,1),5456(a,1,2))]. given #5287 (H,wt=18): 5713 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(2247(a,1),5612(a,1,2))]. given #5288 (H,wt=12): 6155 T(x,K(y,y \ 1)) != z | z = x. [para(5607(a,1),5713(a,1))]. given #5289 (H,wt=12): 6157 T(x / y,y) != z | y \ x = z. [para(1386(a,1),6155(a,1)),flip(b)]. given #5290 (H,wt=14): 6159 T(x,x \ y) != z | (x \ y) \ y = z. [para(70(a,1),6157(a,1,1))]. given #5291 (H,wt=15): 6156 L(x \ 1,x,y) != z | (y * x) \ y = z. [para(1287(a,1),6155(a,1)),flip(b)]. given #5292 (H,wt=16): 6158 K(x,T(x,y) \ 1) != z | K(x,x \ 1) = z. [para(2959(a,1),6155(a,1)),flip(b)]. given #5293 (H,wt=17): 6161 L(T(x \ 1,x),x,1 / x) != y | x \ 1 = y. [para(372(a,2),6157(a,1))]. given #5294 (H,wt=17): 6162 R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. [para(983(a,1),6157(a,1))]. given #5295 (H,wt=17): 6168 R(T(x,y),x \ y,x) != z | (x \ y) \ y = z. [para(4525(a,2),6159(a,1))]. given #5296 (H,wt=18): 5717 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(37(a,2),5623(a,1))]. given #5297 (H,wt=18): 5725 T(x,y \ x) * K(y \ 1,x) = L(x,y \ 1,x). [para(1990(a,1),5707(a,1,1))]. given #5298 (H,wt=18): 5804 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(2920(a,1),5794(a,1,2)),flip(a)]. given #5299 (H,wt=18): 5823 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(5820(a,1),43(a,1,1)),flip(a)]. given #5300 (H,wt=18): 5824 T(x * K(y \ x,x),y \ 1) = R(x,y \ 1,x). [para(5734(a,1),5820(a,1,1,2))]. given #5301 (H,wt=18): 5830 T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. [para(4569(a,1),5829(a,1))]. given #5302 (H,wt=18): 5831 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(4602(a,2),5829(a,1))]. given #5303 (H,wt=18): 5836 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(3053(a,1),5388(a,1,2))]. given #5304 (H,wt=18): 5837 x * ((y * (x \ 1)) / y) != z | K(y,1 / x) = z. [para(5417(a,1),220(a,1,2)),flip(b)]. given #5305 (H,wt=14): 6175 K(x,y \ 1) != z | K(x,1 / y) = z. [para(5238(a,1),5837(a,1))]. given #5306 (H,wt=18): 5838 x * (y * K(z,y)) != u | u / ((z * y) / z) = x. [para(5421(a,1),96(a,1))]. given #5307 (H,wt=18): 5840 x \ T(x * y,y) != y * z | K(x * y,y) = z. [para(5424(a,2),24(a,1))]. given #5308 (H,wt=18): 5854 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5558(a,2),3335(a,1))]. given #5309 (H,wt=18): 5869 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(5683(a,1),310(a,1))]. given #5310 (H,wt=18): 5899 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5853(a,1),24(a,1))]. given #5311 (H,wt=18): 5907 T(x,y) \ T(x,z) != u | K(y,x) * K(x,z) = u. [para(5865(a,2),2076(a,1))]. given #5312 (H,wt=18): 5918 (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. [para(5913(a,1),224(a,1,2))]. given #5313 (H,wt=18): 5920 ((x * y) / x) \ y != z * u | z \ K(y,x) = u. [para(4085(a,2),5282(a,1))]. given #5314 (H,wt=18): 5922 T(x,y \ 1) \ x != z | y * T(y \ 1,x) = z. [para(5177(a,1),5316(a,1))]. given #5315 (H,wt=18): 5924 K(x \ (x / y),x) != z | y * T(y \ 1,x) = z. [para(5179(a,2),5316(a,1))]. given #5316 (H,wt=18): 5925 K(x,1 / x) != y * z | y \ K(x,x \ 1) = z. [para(1517(a,1),5329(a,1))]. given #5317 (H,wt=18): 5932 ((x * y) / x) \ (y * z) != u | K(y,x) * z = u. [para(4644(a,2),5593(a,1))]. given #5318 (H,wt=18): 5933 T(x,y) * K(x,z) != u | K(x,y) * T(x,z) = u. [para(5186(a,2),5593(a,1,2))]. given #5319 (H,wt=18): 5936 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(127(a,1),5634(a,1,2))]. given #5320 (H,wt=18): 5952 (T(x,y) \ x) * z != u | T(y,x) * (y \ z) = u. [para(5177(a,1),5935(a,1,1))]. given #5321 (H,wt=18): 5956 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(19(a,1),5942(a,1,1,1)),flip(a)]. given #5322 (H,wt=18): 5966 T(K(x \ 1,y),z) != u | K(T(x,z) \ 1,y) = u. [para(5223(a,1),5489(a,1))]. given #5323 (H,wt=18): 6001 R(K(x / y,z),x / y,u) = K((y / x) \ 1,z). [hyper(255,a,4395,a,b,5998,a),flip(a)]. given #5324 (H,wt=18): 6091 L(T(K(x,y),z),K(y,x),z) = (K(y,x) * z) \ z. [para(6086(a,1),6065(a,1,1))]. given #5325 (H,wt=18): 6103 K(x,y) * z != u * K(x,y) | T(z,K(y,x)) = u. [para(6101(a,1),174(a,1,2)),flip(b)]. given #5326 (H,wt=18): 6109 K(x,y) * K(z,y) != u | K(z,y) * K(x,y) = u. [para(6105(a,1),225(a,1,2))]. given #5327 (H,wt=18): 6111 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(6106(a,1),225(a,1,2))]. given #5328 (H,wt=18): 6115 K(x,K(y,z)) != K(y,z) * u | T(K(z,y),x) = u. [para(6090(a,1),24(a,1))]. given #5329 (H,wt=18): 6116 K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. [para(6094(a,1),5612(a,1,2)),flip(b)]. given #5330 (H,wt=18): 6120 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(5455(a,2),6119(a,1))]. given #5331 (H,wt=18): 6150 K(x,y) * z != u * w | u \ (K(y,x) \ z) = w. [para(19(a,1),5617(a,1,2))]. given #5332 (H,wt=18): 6160 T(x * y,K(y,x)) != z | K(y,x) \ (y * x) = z. [para(142(a,1),6157(a,1,1))]. given #5333 (H,wt=18): 6171 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(255,a,47,a,b,5823,a)]. given #5334 (H,wt=18): 6178 T(K(x,1 / y),z) != u | K(x,1 / T(y,z)) = u. [para(5973(a,1),6175(a,1))]. given #5335 (H,wt=18): 6179 ((x * y) / x) * z != u | y * (K(x,y) * z) = u. [para(5217(a,2),5918(a,1,1))]. given #5336 (H,wt=18): 6180 K(x,y) * (y * z) != u | y * (K(x,y) * z) = u. [para(5901(a,1),5918(a,1))]. given #5337 (H,wt=19): 5164 x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). [hyper(255,a,3174,a(flip),b,5158,a),flip(a)]. given #5338 (H,wt=17): 6183 x \ K(x * y,x \ 1) = y / (y / (x \ 1)). [para(4686(a,1),5164(a,1,2))]. given #5339 (H,wt=17): 6184 (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). [para(6183(a,2),73(a,1,1))]. given #5340 (H,wt=19): 5234 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(255,a,4251,a,b,5186,a),flip(a)]. given #5341 (H,wt=17): 6185 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(5186(a,2),5234(a,1,1))]. given #5342 (H,wt=14): 6187 K(x,L(x,y,z) \ 1) = K(x,x \ 1). [hyper(255,a,4960,a(flip),b,6185,a(flip))]. given #5343 (H,wt=16): 6193 T(x,L(x,y,z) \ 1) = K(x,x \ 1) * x. [para(6187(a,1),5263(a,2,1))]. given #5344 (H,wt=14): 6194 K(x,T(y,L(y,z,u) \ 1)) = K(x,y). [para(6193(a,2),5797(a,1,2))]. given #5345 (H,wt=17): 6189 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(73(a,1),6185(a,1,1,2)),flip(a)]. given #5346 (H,wt=17): 6191 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3702(a,1),6185(a,1,1)),flip(a)]. given #5347 (H,wt=18): 6195 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(342(a,1),6191(a,1,2,1)),flip(a)]. given #5348 (H,wt=19): 5261 (x * y) * T(K(y,x),z) = x * (y * T(K(y,x),z)). [para(5186(a,2),833(a,1,2,2,1)),flip(a)]. given #5349 (H,wt=19): 5308 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(5216(a,1),3376(a,1,2)),flip(a)]. given #5350 (H,wt=19): 5335 (K(x,y) / R(x,z,u)) * x = T(x,y) / R(x,z,u). [hyper(81,a,5263,a,b,1953,a),flip(a)]. given #5351 (H,wt=19): 5357 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(5175(a,1),5027(a,1,1,1))]. given #5352 (H,wt=19): 5420 T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). [hyper(80,a,5217,a,b,1079,a)]. given #5353 (H,wt=17): 6198 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(255,a,6117,a(flip),b,5420,a)]. given #5354 (H,wt=19): 5438 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(5217(a,1),1627(a,2,1,2))]. given #5355 (H,wt=19): 5510 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2669,a,5179,a)]. given #5356 (H,wt=17): 6204 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(5187(a,1),5510(a,1,1))]. given #5357 (H,wt=14): 6206 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [hyper(255,a,5911,a(flip),b,6204,a(flip))]. given #5358 (H,wt=17): 6205 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(5240(a,2),5510(a,1,1)),flip(a)]. given #5359 (H,wt=17): 6209 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3312(a,1),6204(a,1,1)),flip(a)]. given #5360 (H,wt=19): 5516 (x * y) * K(((x * y) \ x) \ 1,z) = x * T(y,z). [para(5179(a,1),1562(a,1,2))]. given #5361 (H,wt=19): 5519 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(849,a,5187,a)]. given #5362 (H,wt=17): 6217 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(127(a,1),5519(a,1,2))]. given #5363 (H,wt=19): 5521 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(5187(a,1),656(a,2,2))]. given #5364 (H,wt=19): 5523 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(5187(a,1),866(a,2,2))]. given #5365 (H,wt=19): 5524 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(5187(a,1),1190(a,2,1))]. given #5366 (H,wt=19): 5525 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(5187(a,1),1218(a,1,1))]. given #5367 (H,wt=19): 5526 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(5187(a,1),1411(a,2,1))]. given #5368 (H,wt=19): 5548 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(255,a,3325,a,b,5221,a)]. given #5369 (H,wt=19): 5552 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [hyper(255,a,5137,a(flip),b,5221,a(flip)),flip(a)]. given #5370 (H,wt=19): 5563 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(81,a,4901,a(flip),b,5225,a(flip)),flip(a)]. given #5371 (H,wt=19): 5578 x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). [hyper(255,a,4206,a,b,5250,a(flip)),flip(a)]. given #5372 (H,wt=19): 5588 T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). [hyper(81,a,5006,a,b,5271,a)]. given #5373 (H,wt=19): 5590 K(x,y) * ((x \ 1) \ y) = x * (((x \ 1) \ y) / x). [para(4692(a,1),5271(a,1,1))]. given #5374 (H,wt=19): 5606 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(255,a,3148,a,b,5600,a)]. given #5375 (H,wt=19): 5658 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(4238,a,5470,a)]. given #5376 (H,wt=19): 5659 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [para(5006(a,2),5470(a,1,2))]. given #5377 (H,wt=19): 5666 K(x \ (x / y),x) = (T(x,y \ 1) / y) \ (x / y). [para(4174(a,2),5475(a,1,1)),flip(a)]. given #5378 (H,wt=17): 6227 (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). [hyper(5489,a,5666,a),flip(a)]. given #5379 (H,wt=17): 6228 K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). [hyper(255,a,3479,a,b,6227,a(flip)),flip(a)]. given #5380 (H,wt=17): 6229 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(20(a,1),6228(a,1,2,2))]. given #5381 (H,wt=17): 6230 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(6147,a,6229,a)]. given #5382 (H,wt=19): 5701 K(1 / x,y) / (1 / x) = 1 / (K(y,x \ 1) / x). [para(3718(a,1),5649(a,1,2)),flip(a)]. given #5383 (H,wt=19): 5735 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(5360(a,1),5734(a,1,1,2)),flip(a)]. given #5384 (H,wt=19): 5767 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(4985(a,1),5751(a,1,1))]. given #5385 (H,wt=19): 5768 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(5000(a,1),5751(a,1,1))]. given #5386 (H,wt=19): 5770 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(255,a,2583,a(flip),b,5238,a(flip)),flip(a)]. given #5387 (H,wt=19): 5775 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(5238(a,1),2052(a,1,2))]. given #5388 (H,wt=19): 5787 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5782(a,1),5288(a,1,1))]. given #5389 (H,wt=19): 5815 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(4992(a,1),5797(a,1,2)),flip(a)]. given #5390 (H,wt=19): 5816 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(4985(a,1),5800(a,1,2))]. given #5391 (H,wt=19): 5874 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(925(a,1),5688(a,1,2))]. given #5392 (H,wt=19): 5883 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(1138(a,1),5744(a,1,2))]. given #5393 (H,wt=19): 5884 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1743(a,1),5744(a,1,2))]. given #5394 (H,wt=19): 5897 ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). [para(5895(a,1),5252(a,2,2)),flip(a)]. given #5395 (H,wt=19): 5898 (x / (K(y,z) * T(y,u))) \ x = K(y,u) * T(y,z). [hyper(255,a,73,a,b,5853,a),flip(a)]. given #5396 (H,wt=19): 5915 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(5912(a,1),459(a,1,1,1)),flip(a)]. given #5397 (H,wt=19): 5921 R(x,1 / x,x) != y * z | T(x,1 / x) / z = y. [para(503(a,1),5315(a,1))]. given #5398 (H,wt=19): 5931 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(4192(a,2),5507(a,1))]. given #5399 (H,wt=13): 6238 R(K(x,y),x,z) != u | K(x,y) = u. [para(4373(a,2),5931(a,1))]. given #5400 (H,wt=19): 5945 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(5726(a,1),2076(a,1))]. given #5401 (H,wt=19): 5957 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5942(a,1),2081(a,1))]. given #5402 (H,wt=19): 6017 (((x * y) \ x) \ x) * K(y \ 1,x * y) = x * y. [para(5514(a,1),5203(a,1,2))]. given #5403 (H,wt=15): 6239 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(5199,a,6017,a)]. given #5404 (H,wt=16): 6240 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [para(162(a,2),6239(a,2,1)),flip(a)]. given #5405 (H,wt=16): 6241 x / T(x * y,y \ 1) = L(y \ 1,y,x). [para(6240(a,1),70(a,1,2))]. given #5406 (H,wt=19): 6018 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(958,a,5515,a)]. given #5407 (H,wt=19): 6020 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(661,a,5515,a),flip(a)]. given #5408 (H,wt=19): 6024 T(x * y,z) / y = K(((1 / y) / x) \ 1,z) * x. [hyper(255,a,935,a(flip),b,5517,a),flip(a)]. given #5409 (H,wt=19): 6027 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(18(a,1),5517(a,2,2,1))]. given #5410 (H,wt=19): 6030 K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. [para(935(a,1),5574(a,1,1)),flip(a)]. given #5411 (H,wt=19): 6033 (x * y) * (x / (x * y)) = x * K(x * y,1 / y). [para(5691(a,1),264(a,1,2)),flip(a)]. given #5412 (H,wt=19): 6038 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(3344(a,1),5758(a,1,1,2))]. given #5413 (H,wt=19): 6039 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(3993(a,1),5759(a,1,1))]. given #5414 (H,wt=19): 6042 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2821(a,1),5809(a,1,2,1)),flip(a)]. given #5415 (H,wt=19): 6045 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(3097(a,1),5814(a,1,2,1))]. given #5416 (H,wt=19): 6048 T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). [para(5158(a,2),5826(a,1,2,1))]. given #5417 (H,wt=19): 6082 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(5272(a,1),5903(a,1,2))]. given #5418 (H,wt=19): 6098 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(6092(a,1),5272(a,1,1))]. given #5419 (H,wt=19): 6121 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(129(a,1),5975(a,1,2,2,1)),flip(a)]. given #5420 (H,wt=19): 6197 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [para(5357(a,1),21(a,1,1))]. given #5421 (H,wt=19): 6200 (x * y) / (y * K(z,y)) = (x / (y * K(z,y))) * y. [para(5217(a,1),5438(a,1,2))]. given #5422 (H,wt=19): 6211 K(x,R(1 / y,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(6205(a,1),5381(a,1,1)),flip(a)]. given #5423 (H,wt=19): 6219 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [hyper(87,a,5524,a)]. given #5424 (H,wt=19): 6224 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5525(a,2),5526(a,1,2))]. given #5425 (H,wt=19): 6231 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [para(6230(a,1),5472(a,1,2)),flip(a)]. given #5426 (H,wt=19): 6236 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(5057(a,1),5883(a,1,2))]. given #5427 (H,wt=19): 6244 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(6018(a,1),19(a,1,2))]. given #5428 (H,wt=19): 6246 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(3707(a,1),6033(a,2,2))]. given #5429 (H,wt=19): 6258 x * K((1 / y) \ 1,x * (1 / y)) = y * (x / y). [hyper(255,a,3220,a(flip),b,6231,a(flip))]. given #5430 (H,wt=15): 6261 x * K(y,x * (1 / y)) = y * (x / y). [para(73(a,1),6258(a,1,2,1))]. given #5431 (H,wt=13): 6262 K(x,y * (1 / x)) = K(x,x \ y). [hyper(22,a,5472,a,b,6261,a)]. given #5432 (H,wt=13): 6264 K(x,y * (x \ 1)) = K(x,x \ y). [hyper(255,a,5801,a(flip),b,6262,a(flip)),flip(a)]. given #5433 (H,wt=15): 6266 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(6262(a,1),5394(a,1,2)),flip(a)]. given #5434 (H,wt=13): 6268 K(x * (1 / y),y) = K(y \ x,y). [hyper(255,a,5394,a(flip),b,6266,a)]. given #5435 (H,wt=13): 6271 K(x * (y \ 1),y) = K(y \ x,y). [hyper(255,a,5752,a(flip),b,6268,a(flip)),flip(a)]. given #5436 (H,wt=15): 6269 K((1 / x) * y,x) = K(y * (1 / x),x). [hyper(255,a,4684,a,b,6268,a),flip(a)]. given #5437 (H,wt=15): 6270 K(((1 / x) \ y) * (1 / x),x) = K(y,x). [hyper(255,a,4683,a(flip),b,6268,a)]. given #5438 (H,wt=15): 6274 x * K(x * (y \ 1),y) = (y \ x) * y. [para(6271(a,2),263(a,1,2))]. given #5439 (H,wt=15): 6276 K(T(x,1 / y) / y,y) = K(x / y,y). [para(967(a,1),6270(a,1,1))]. given #5440 (H,wt=16): 6267 K(x,R(y,x,x \ 1)) = K(x,x \ (x * y)). [hyper(255,a,5391,a(flip),b,6264,a(flip)),flip(a)]. given #5441 (H,wt=12): 6279 K(x,R(y,x,x \ 1)) = K(x,y). [para(18(a,1),6267(a,2,2))]. given #5442 (H,wt=14): 6280 K(x,y) = x \ T(x,R(y,x,x \ 1)). [hyper(5218,a,6279,a),flip(a)]. given #5443 (H,wt=16): 6273 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [hyper(255,a,5379,a(flip),b,6271,a(flip)),flip(a)]. given #5444 (H,wt=12): 6282 K(R(x,y,y \ 1),y) = K(x,y). [hyper(255,a,615,a(flip),b,6273,a)]. given #5445 (H,wt=17): 6265 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [para(70(a,1),6262(a,1,2,2)),flip(a)]. given #5446 (H,wt=15): 6284 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(255,a,4691,a(flip),b,6265,a(flip))]. given #5447 (H,wt=17): 6272 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(70(a,1),6268(a,1,1,2)),flip(a)]. given #5448 (H,wt=15): 6287 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(255,a,4686,a(flip),b,6272,a(flip))]. given #5449 (H,wt=17): 6285 x * T(x \ 1,y * x) = K(x \ 1,x * y). [hyper(5316,a,6284,a)]. given #5450 (H,wt=15): 6289 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(22,a,5187,a,b,6285,a)]. given #5451 (H,wt=15): 6290 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(255,a,4599,a(flip),b,6289,a)]. given #5452 (H,wt=17): 6286 K((1 / x) \ y,x \ 1) = K(y * x,x \ 1). [hyper(255,a,5755,a,b,6272,a(flip)),flip(a)]. given #5453 (H,wt=17): 6293 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(19(a,1),6290(a,1,2))]. given #5454 (H,wt=18): 6281 K(x,y) = R(y,x,x \ 1) \ ((x * y) * (x \ 1)). [hyper(255,a,4075,a,b,6280,a)]. given #5455 (H,wt=18): 6294 R(x,y,y \ 1) * K(y,x) = (y * x) * (y \ 1). [para(6281(a,2),19(a,1,2))]. given #5456 (H,wt=18): 6295 K(x,y) * ((y * x) * (y \ 1)) = R(x,y,y \ 1). [para(6294(a,1),5627(a,1,2))]. given #5457 (H,wt=19): 6259 (1 / x) * (y / (1 / x)) = y * K(1 / x,y * x). [para(3309(a,2),6231(a,2,2))]. given #5458 (H,wt=17): 6296 K(1 / x,y / (1 / x)) = K(1 / x,y * x). [hyper(411,a,6259,a)]. given #5459 (H,wt=19): 6275 K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). [hyper(255,a,5749,a(flip),b,6269,a)]. given #5460 (H,wt=15): 6297 K((x \ y) * x,1 / x) = K(y,1 / x). [hyper(255,a,5766,a(flip),b,6275,a(flip))]. given #5461 (H,wt=19): 6277 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(73(a,1),6274(a,1,2,1,2)),flip(a)]. given #5462 (H,wt=19): 6288 K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). [para(6287(a,1),5982(a,1,2,2))]. given #5463 (H,wt=15): 6298 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(255,a,5982,a(flip),b,6288,a(flip))]. given #5464 (H,wt=19): 6299 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6298(a,2),5455(a,1,1))]. given #5465 (H,wt=15): 6300 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(6120,a,6299,a),flip(a)]. given #5466 (H,wt=15): 6301 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(6119,a,6300,a),flip(a)]. given #5467 (H,wt=20): 5277 (x / (x / y)) \ L(y,y \ x,y) = K(x / (x / y),x). [para(4593(a,1),5186(a,2,2)),flip(a)]. given #5468 (H,wt=20): 5303 ((x * K(y * z,x)) * y) * z = (y * z) * R(x,y,z). [para(5216(a,1),573(a,1,2,1)),flip(a)]. given #5469 (H,wt=20): 5347 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(5263(a,2),179(a,1,1))]. given #5470 (H,wt=20): 5397 T((x * K(y,z)) \ x,u) = L(T(K(z,y),u),K(y,z),x). [para(5381(a,1),344(a,2,1,1))]. given #5471 (H,wt=17): 6303 T((x * K(y,z)) \ x,x) = (K(y,z) * x) \ x. [hyper(255,a,6091,a(flip),b,5397,a)]. given #5472 (H,wt=20): 5428 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(5217(a,2),452(a,1,2))]. given #5473 (H,wt=20): 5436 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(5217(a,1),769(a,1,1))]. given #5474 (H,wt=20): 5437 L(x * K(y,x),x \ 1,x) = (y * (1 / (1 / x))) / y. [para(5217(a,1),1498(a,1,1))]. given #5475 (H,wt=18): 6304 L(x * K(y,x),x \ 1,x) = K(y,x) / (1 / x). [hyper(255,a,5445,a,b,5437,a)]. given #5476 (H,wt=20): 5481 (1 / (1 / x)) / K(y,x) != z | T(1 / (1 / x),y) = z. [para(3708(a,1),5201(a,1,2))]. given #5477 (H,wt=20): 5596 T(x,y) * (x \ z) != u * w | u \ (K(x,y) * z) = w. [para(5272(a,1),533(a,1))]. given #5478 (H,wt=20): 5614 (K(x,y) \ z) * L(u,z,K(y,x)) = K(y,x) * (z * u). [para(5600(a,2),112(a,1,1))]. given #5479 (H,wt=20): 5615 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5600(a,1),241(a,1,1,2))]. given #5480 (H,wt=20): 5616 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5600(a,1),241(a,1,1))]. given #5481 (H,wt=20): 5635 K(x,y) * (x * z) != u * w | (T(x,y) * z) / w = u. [para(5274(a,1),297(a,1,2))]. given #5482 (H,wt=20): 5714 K(x \ 1,x) * (x \ y) != z | ((x \ 1) \ 1) \ y = z. [para(3036(a,1),5612(a,1,2)),flip(b)]. given #5483 (H,wt=20): 5715 K(x \ 1,x) * ((1 / x) * y) != z | (x \ 1) * y = z. [para(3096(a,1),5612(a,1,2)),flip(b)]. given #5484 (H,wt=20): 5722 T(x,T(y,z)) / (T(T(y,x),z) \ x) != u | T(y,z) = u. [para(4793(a,2),5643(a,1))]. given #5485 (H,wt=20): 5778 (1 / x) * T((1 / x) \ 1,y) != z | x \ T(x,y) = z. [para(5240(a,1),5218(a,1))]. given #5486 (H,wt=20): 5791 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(452(a,1),5785(a,1,2,1)),flip(a)]. given #5487 (H,wt=20): 5821 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(23,a,1957,a,b,5298,a)]. given #5488 (H,wt=20): 5825 T(x * K(y \ x,x),y \ 1) = R(x,x \ (y \ x),x). [hyper(255,a,4742,a,b,5299,a)]. given #5489 (H,wt=15): 6310 R(x,x \ (y \ x),x) = R(x,y \ 1,x). [hyper(255,a,5824,a(flip),b,5825,a(flip))]. given #5490 (H,wt=20): 5828 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(5299(a,2),5458(a,1))]. given #5491 (H,wt=20): 5863 x * (1 / (1 / y)) != z * x | K(x,y) / (1 / y) = z. [para(5640(a,1),174(a,1,2)),flip(b)]. given #5492 (H,wt=20): 5893 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(3435(a,2),5808(a,1,2,1))]. given #5493 (H,wt=20): 5904 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(5858(a,1),774(a,1,1))]. given #5494 (H,wt=20): 5928 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(5927(a,1),1721(a,1,1,2))]. given #5495 (H,wt=20): 5930 (x \ 1) / (1 / x) != y | K(1 / x,1 / (1 / x)) = y. [para(564(a,1),5496(a,1,1))]. given #5496 (H,wt=20): 5938 x * (y * K(x,z)) != u | T(x,z) * T(y,K(x,z)) = u. [para(127(a,1),5668(a,1,2))]. given #5497 (H,wt=20): 5953 ((x * y) / x) \ (y * z) != u | T(y,x) * (y \ z) = u. [para(5551(a,2),5935(a,1))]. given #5498 (H,wt=20): 5964 T(K(x / y,z),x) \ 1 != u | K(z,(x \ y) \ 1) = u. [para(5962(a,2),5384(a,1,1))]. given #5499 (H,wt=20): 5978 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(5971(a,1),5255(a,1,2))]. given #5500 (H,wt=20): 5984 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(23,a,5265,a,b,5300,a),flip(a)]. given #5501 (H,wt=14): 6311 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(22,a,5104,a(flip),b,5984,a)]. given #5502 (H,wt=17): 6313 K(L(x,y,z) \ 1,x) = K(x \ 1,L(x,u,w)). [hyper(255,a,4933,a,b,6311,a),flip(a)]. given #5503 (H,wt=20): 5986 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(23,a,5265,a,b,5301,a),flip(a)]. given #5504 (H,wt=20): 5991 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(81,a,5431,a,b,5267,a(flip))]. given #5505 (H,wt=20): 5992 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(5431(a,2),5180(a,2,1)),flip(a)]. given #5506 (H,wt=20): 5993 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(5431(a,2),5358(a,2,2)),flip(a)]. given #5507 (H,wt=20): 5994 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(80,a,5432,a,b,5217,a(flip))]. given #5508 (H,wt=20): 5996 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(5432(a,2),5180(a,2,1)),flip(a)]. given #5509 (H,wt=20): 5997 (x \ y) * T(x,y) != z * x | x \ (y * K(x,y)) = z. [para(5444(a,1),25(a,1))]. given #5510 (H,wt=20): 6010 K(x / y,y / x) != z | K((y / x) \ 1,y / x) = z. [para(6003(a,1),5665(a,1))]. given #5511 (H,wt=20): 6046 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5819(a,1),222(a,1,2)),flip(b)]. given #5512 (H,wt=20): 6047 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5826(a,1),220(a,1,2)),flip(b)]. given #5513 (H,wt=20): 6058 x \ ((y / (y / x)) * z) != u * z | K(x \ y,x) = u. [para(5859(a,2),25(a,1))]. given #5514 (H,wt=20): 6063 (x * y) * ((y * x) \ x) != z * u | z \ T(x,y) = u. [para(6060(a,1),299(a,1,1))]. given #5515 (H,wt=20): 6067 (x * (1 / (1 / y))) / x != z | K(x,y) / (1 / y) = z. [para(5862(a,1),304(a,1,1)),flip(b)]. given #5516 (H,wt=20): 6073 K(x,x \ y) * ((x \ y) * z) != u | (y / x) * z = u. [para(5877(a,1),5612(a,1,2)),flip(b)]. given #5517 (H,wt=20): 6114 x * K(y,(x \ z) \ 1) != u * x | K(y,x / z) = u. [para(6088(a,1),174(a,1,2)),flip(b)]. given #5518 (H,wt=20): 6131 L(x * K(y,x),x \ 1,x) = x * ((T(x,y) \ 1) * x). [para(6036(a,1),190(a,1,2)),flip(a)]. given #5519 (H,wt=17): 6322 x * ((T(x,y) \ 1) * x) = K(y,x) / (1 / x). [hyper(255,a,6304,a(flip),b,6131,a(flip))]. given #5520 (H,wt=17): 6323 x \ (1 / (K(x,y) / x)) = (T(x,y) \ 1) * x. [hyper(80,a,6123,a(flip),b,6322,a)]. given #5521 (H,wt=19): 6324 x \ (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [para(5362(a,1),6323(a,1,2,2))]. given #5522 (H,wt=20): 6154 K(x \ 1,x) * (y * x) != z | y * (1 / (1 / x)) = z. [para(2825(a,1),5713(a,1,2)),flip(b)]. given #5523 (H,wt=20): 6166 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(128(a,2),6159(a,1,2))]. given #5524 (H,wt=20): 6172 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5836(a,1),5892(a,1,1))]. given #5525 (H,wt=16): 6326 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(20(a,1),6172(a,2,2))]. given #5526 (H,wt=12): 6327 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(5176,a,6326,a),flip(a)]. given #5527 (H,wt=20): 6176 K(T(x,y),T(x,y) \ 1) != z | K(T(x,y),1 / x) = z. [para(2972(a,2),6175(a,1))]. given #5528 (H,wt=20): 6181 x * (T(x,y) \ K(z,x)) != u | K(z,x) * K(y,x) = u. [para(5225(a,2),6109(a,1))]. given #5529 (H,wt=20): 6182 T(x,y) * (x \ K(x,z)) != u | K(x,z) * K(x,y) = u. [para(5221(a,2),6111(a,1))]. given #5530 (H,wt=20): 6192 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(6187(a,2),4964(a,1,2))]. given #5531 (H,wt=15): 6328 T(1 / L(x,y,z),x) = L(x,y,z) \ 1. [para(6192(a,1),5307(a,1,1))]. given #5532 (H,wt=20): 6196 K(x \ y,(x \ y) \ 1) != z | K(x \ y,y \ x) = z. [para(6195(a,1),5004(a,1))]. given #5533 (H,wt=20): 6202 a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). [hyper(255,a,3807,a,b,5510,a(flip)),flip(a)]. given #5534 (H,wt=20): 6252 ((x * K(y,z)) / (z * K(y,z))) * z = R(x,K(y,z),z). [hyper(3160,a,6200,a),flip(a)]. given #5535 (H,wt=17): 6331 R(x * y,K(z,y),y) = R(x,y,K(z,y)) * y. [para(35(a,2),6252(a,1,1)),flip(a)]. given #5536 (H,wt=20): 6302 (x / (x / y)) \ L(y,y \ x,y) = K((x / y) \ x,x). [hyper(255,a,6128,a(flip),b,5277,a)]. given #5537 (H,wt=16): 6333 K(x,y) = (y / (y / x)) \ L(x,x \ y,x). [hyper(255,a,616,a(flip),b,6302,a),flip(a)]. given #5538 (H,wt=20): 6305 (K(x,y) \ z) \ (K(x,y) \ (z * u)) = L(u,z,K(y,x)). [hyper(80,a,5600,a,b,5614,a)]. given #5539 (H,wt=20): 6314 L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x). [para(6311(a,2),2694(a,1,1))]. given #5540 (H,wt=20): 6332 R(x * y,K(z,y),y) != u * y | R(x,y,K(z,y)) = u. [para(6331(a,2),25(a,1))]. given #5541 (H,wt=20): 6336 K(L(x,y,z) \ 1,L(x,y,z)) = K(L(x,y,z) \ 1,x). [hyper(3630,a,6314,a)]. given #5542 (H,wt=20): 6337 K(L(x,y,z) \ 1,L(x,y,z)) = K(x \ 1,L(x,u,w)). [hyper(255,a,6313,a(flip),b,6336,a)]. given #5543 (H,wt=21): 5331 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(5252(a,2),454(a,2,2))]. given #5544 (H,wt=21): 5349 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(5263(a,2),431(a,1,2,2))]. given #5545 (H,wt=21): 5363 K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). [hyper(81,a,2500,a(flip),b,5183,a(flip))]. given #5546 (H,wt=19): 6341 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(255,a,2515,a(flip),b,5363,a)]. given #5547 (H,wt=21): 5404 T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. [para(5394(a,1),3869(a,1,2,2))]. given #5548 (H,wt=19): 6343 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [hyper(255,a,6124,a(flip),b,5404,a)]. given #5549 (H,wt=21): 5415 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(4746,a,5217,a),flip(a)]. given #5550 (H,wt=21): 5485 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(45(a,2),5281(a,1,1))]. given #5551 (H,wt=21): 5486 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(47(a,2),5281(a,1,1))]. given #5552 (H,wt=21): 5490 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(45(a,2),5325(a,1,2))]. given #5553 (H,wt=21): 5509 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(5178(a,1),2046(a,2,2))]. given #5554 (H,wt=21): 5518 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [para(5179(a,1),1560(a,1,2))]. given #5555 (H,wt=21): 5528 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(5187(a,1),1895(a,2,2))]. given #5556 (H,wt=19): 6346 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(5187(a,1),5528(a,1,1,2))]. given #5557 (H,wt=19): 6349 (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. [hyper(87,a,6346,a)]. given #5558 (H,wt=20): 6353 R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). [para(6349(a,1),1061(a,1,1)),flip(a)]. given #5559 (H,wt=21): 5594 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(183(a,1),5272(a,1,2))]. given #5560 (H,wt=21): 5595 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(184(a,1),5272(a,1,2))]. given #5561 (H,wt=21): 5604 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(646,a,5600,a),flip(a)]. given #5562 (H,wt=21): 5610 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(255,a,3952,a(flip),b,5600,a(flip))]. given #5563 (H,wt=21): 5618 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5600(a,1),524(a,1,2))]. given #5564 (H,wt=21): 5700 1 / ((x \ 1) * K(y,x \ 1)) = K(1 / x,y) / (x \ 1). [para(3309(a,2),5649(a,2,1))]. given #5565 (H,wt=19): 6356 K(1 / x,y) / (x \ 1) = 1 / (x \ K(y,1 / x)). [para(3719(a,1),5700(a,1,2)),flip(a)]. given #5566 (H,wt=21): 5769 R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). [hyper(255,a,3792,a(flip),b,5238,a(flip)),flip(a)]. given #5567 (H,wt=17): 6358 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(5238(a,1),5769(a,1,1))]. given #5568 (H,wt=14): 6359 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(6238,a,6358,a),flip(a)]. given #5569 (H,wt=14): 6360 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(255,a,3994,a(flip),b,6358,a(flip))]. given #5570 (H,wt=17): 6361 K(x,R(1 / y,z,u) \ 1) = R(K(x,y),z,u). [para(73(a,1),6358(a,1,1,2)),flip(a)]. given #5571 (H,wt=15): 6366 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(255,a,6211,a(flip),b,6361,a(flip)),flip(a)]. given #5572 (H,wt=17): 6362 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3702(a,1),6358(a,1,1)),flip(a)]. given #5573 (H,wt=19): 6363 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5786(a,1),6358(a,1,1)),flip(a)]. given #5574 (H,wt=18): 6370 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(255,a,5791,a(flip),b,6363,a(flip))]. given #5575 (H,wt=18): 6372 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(450(a,1),6363(a,1,2)),flip(a)]. given #5576 (H,wt=18): 6374 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(21(a,1),6370(a,2,2,2))]. given #5577 (H,wt=18): 6375 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(70(a,1),6370(a,1,1,2)),flip(a)]. given #5578 (H,wt=12): 6378 R(K(x,y),T(y,z),u) = K(x,y). [para(4340(a,1),6375(a,1,2)),flip(a)]. given #5579 (H,wt=15): 6377 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(120(a,2),6375(a,1,2))]. given #5580 (H,wt=15): 6382 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(18(a,1),6377(a,1,2,2)),flip(a)]. given #5581 (H,wt=14): 6386 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(6238,a,6382,a),flip(a)]. given #5582 (H,wt=17): 6379 (K(x,y) * T(y,z)) \ K(x,y) = T(y,z) \ 1. [hyper(80,a,6378,a(flip),b,193,a)]. given #5583 (H,wt=16): 6389 R(x,y,x) \ K(x * y,x) = T(x,y) \ 1. [para(5541(a,1),6379(a,1,1))]. given #5584 (H,wt=17): 6383 R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). [para(37(a,2),6377(a,1,2,2)),flip(a)]. given #5585 (H,wt=18): 6376 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(5583(a,1),6374(a,1,1))]. given #5586 (H,wt=15): 6390 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(6238,a,6376,a),flip(a)]. given #5587 (H,wt=18): 6392 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(6376(a,1),6238(a,1))]. given #5588 (H,wt=19): 6369 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(6362(a,1),5252(a,2,2))]. given #5589 (H,wt=19): 6380 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(6378(a,1),122(a,1,1)),flip(a)]. given #5590 (H,wt=10): 6395 L(x,T(y,z),K(u,y)) = x. [hyper(422,a,6380,a)]. given #5591 (H,wt=19): 6381 K(x,R(y,T(y,x) \ z,u)) = R(K(x,T(y,x)),z,u). [hyper(5504,a,6377,a)]. given #5592 (H,wt=17): 6396 K(x,R(y,T(y,x) \ z,u)) = R(K(x,y),z,u). [para(5373(a,1),6381(a,2,1))]. given #5593 (H,wt=19): 6387 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(255,a,6204,a(flip),b,6382,a(flip)),flip(a)]. given #5594 (H,wt=19): 6388 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6382(a,1),47(a,2,1))]. given #5595 (H,wt=20): 6364 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(51(a,1),6359(a,1,2,1))]. given #5596 (H,wt=20): 6371 R(K(x,y / z),y,y \ 1) = K(x,(z * (y \ 1)) \ 1). [para(472(a,1),6363(a,1,2,1)),flip(a)]. given #5597 (H,wt=20): 6373 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(21(a,1),6370(a,2,2,1))]. given #5598 (H,wt=20): 6391 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(255,a,5786,a,b,6376,a)]. given #5599 (H,wt=20): 6398 K(x,((y \ z) * (z \ 1)) \ 1) = R(K(x,y),z,z \ 1). [para(70(a,1),6371(a,1,1,2)),flip(a)]. given #5600 (H,wt=20): 6399 R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1). [para(20(a,1),6391(a,1,1,2,1))]. given #5601 (H,wt=21): 5772 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). [hyper(255,a,1332,a(flip),b,5238,a(flip)),flip(a)]. given #5602 (H,wt=17): 6402 x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). [para(19(a,1),5772(a,1,2,2,1))]. given #5603 (H,wt=21): 5774 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(5238(a,1),1053(a,2,2))]. given #5604 (H,wt=21): 5777 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(5240(a,2),1190(a,2,1))]. given #5605 (H,wt=21): 5817 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(5001(a,1),5800(a,1,2))]. given #5606 (H,wt=21): 5886 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3861(a,1),5749(a,1,1,2))]. given #5607 (H,wt=21): 5887 K(x * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). [para(2395(a,2),5750(a,1,1,2))]. given #5608 (H,wt=21): 5888 K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). [para(5699(a,1),5754(a,1,1,1,1))]. given #5609 (H,wt=19): 6403 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(5402(a,1),5888(a,1,1,1)),flip(a)]. given #5610 (H,wt=21): 5916 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(5912(a,1),461(a,1,1,1)),flip(a)]. given #5611 (H,wt=21): 5959 ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). [para(5168(a,2),4604(a,1,1))]. given #5612 (H,wt=21): 6014 x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y). [para(1138(a,1),5513(a,1,2))]. given #5613 (H,wt=21): 6015 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1743(a,1),5513(a,1,2))]. given #5614 (H,wt=21): 6021 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(255,a,1138,a(flip),b,5515,a(flip)),flip(a)]. given #5615 (H,wt=21): 6025 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(255,a,925,a(flip),b,5517,a)]. given #5616 (H,wt=21): 6031 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [para(5641(a,1),43(a,1,1)),flip(a)]. given #5617 (H,wt=21): 6040 K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). [para(4052(a,1),5759(a,1,1,2))]. given #5618 (H,wt=21): 6049 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5894(a,1),5826(a,1,2,1,2))]. given #5619 (H,wt=15): 6408 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(6046,a,6049,a),flip(a)]. given #5620 (H,wt=21): 6055 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(37(a,2),5846(a,1,2))]. given #5621 (H,wt=21): 6076 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * x. [para(5882(a,1),4911(a,1,1)),flip(a)]. given #5622 (H,wt=21): 6080 K(x / y,(x / y) \ x) * z = y \ ((x / (x / y)) * z). [hyper(284,a,5903,a),flip(a)]. given #5623 (H,wt=15): 6409 K(x / y,(x / y) \ x) = K(y \ x,y). [hyper(23,a,5859,a(flip),b,6080,a)]. given #5624 (H,wt=21): 6133 K(x,y) * K(y,((x * z) \ z) \ 1) = K(x * z,K(x,y)). [para(6112(a,1),6090(a,1,2))]. given #5625 (H,wt=21): 6137 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(6135(a,1),5890(a,1,2,1))]. given #5626 (H,wt=21): 6140 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(4039(a,1),5196(a,1,1,1)),flip(a)]. given #5627 (H,wt=16): 6412 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(6140(a,2),157(a,1))]. given #5628 (H,wt=21): 6142 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(4039(a,1),5254(a,1,2,1)),flip(a)]. given #5629 (H,wt=13): 6413 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(255,a,60,a(flip),b,6142,a)]. given #5630 (H,wt=21): 6148 L(x * T(x \ 1,y),x \ 1,y) != z | K(1 / x,y) = z. [para(3289(a,2),6147(a,1))]. given #5631 (H,wt=21): 6152 K(x \ R(x,y,z),x) = (x \ K(x,R(x \ 1,u,w))) * x. [para(3922(a,2),5704(a,2,1,2))]. given #5632 (H,wt=21): 6153 K(x \ 1,x) * (y / (x * y)) != z | R(x \ 1,x,y) = z. [para(2377(a,2),5713(a,1,2)),flip(b)]. given #5633 (H,wt=21): 6213 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(6209(a,1),5600(a,1,1)),flip(a)]. given #5634 (H,wt=17): 6416 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6362(a,1),6213(a,1,1)),flip(a)]. given #5635 (H,wt=18): 6417 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(541,a,6416,a)]. given #5636 (H,wt=18): 6418 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(510,a,6416,a)]. given #5637 (H,wt=18): 6419 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(6416(a,2),91(a,1)),flip(b)]. given #5638 (H,wt=21): 6215 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(255,a,1749,a(flip),b,5519,a(flip)),flip(a)]. given #5639 (H,wt=15): 6421 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(255,a,5572,a(flip),b,6215,a(flip))]. given #5640 (H,wt=21): 6216 (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). [para(73(a,1),5519(a,1,2,2,1,2))]. given #5641 (H,wt=21): 6218 x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). [para(848(a,1),5519(a,1,2))]. given #5642 (H,wt=17): 6425 K(x \ y,y) / (y \ T(y * (x \ 1),y)) = x. [hyper(81,a,6421,a(flip),b,6218,a)]. given #5643 (H,wt=17): 6426 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6425(a,1),148(a,1,2,1))]. given #5644 (H,wt=21): 6221 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). [para(3293(a,1),5525(a,1,1))]. given #5645 (H,wt=19): 6428 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [hyper(5714,a,6221,a),flip(a)]. given #5646 (H,wt=21): 6222 K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y). [para(3606(a,1),5525(a,2,2,1))]. given #5647 (H,wt=21): 6225 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(255,a,5998,a,b,5563,a(flip)),flip(a)]. given #5648 (H,wt=21): 6237 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(5069(a,1),5884(a,1,2))]. given #5649 (H,wt=17): 6429 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(255,a,6236,a(flip),b,6237,a(flip))]. given #5650 (H,wt=21): 6245 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [para(21(a,1),6024(a,1,1,1)),flip(a)]. given #5651 (H,wt=21): 6250 K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). [para(5360(a,1),6121(a,1,1,2))]. given #5652 (H,wt=17): 6431 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(18(a,1),6250(a,2,2,2,1))]. given #5653 (H,wt=20): 6432 x * K(y,z \ 1) != u * x | K(y,z \ K(z,x)) = u. [para(6431(a,1),25(a,1))]. given #5654 (H,wt=21): 6253 T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). [para(3293(a,1),6219(a,1,2,1)),flip(a)]. given #5655 (H,wt=17): 6433 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [hyper(255,a,6219,a(flip),b,6253,a)]. given #5656 (H,wt=21): 6307 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(255,a,4721,a(flip),b,5616,a(flip))]. given #5657 (H,wt=21): 6321 L(x * K(y,x),x \ 1,x) != z | K(y,x) / (1 / x) = z. [para(5437(a,2),6067(a,1))]. given #5658 (H,wt=21): 6342 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3968,a,6341,a)]. given #5659 (H,wt=21): 6365 K(x \ R(x,y,z),x) = (x \ K(x,R(x,u,w) \ 1)) * x. [para(6360(a,2),5704(a,2,1,2))]. given #5660 (H,wt=21): 6385 R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). [para(5556(a,1),6377(a,1,2,2)),flip(a)]. given #5661 (H,wt=17): 6436 R(K(x,y),K(x,y) * z,u) = R(K(x,y),z,u). [hyper(255,a,6396,a(flip),b,6385,a)]. given #5662 (H,wt=19): 6437 R(K(x,y),y \ K(y,x),z) = R(K(x,y),y \ 1,z). [para(5603(a,1),6436(a,1,2)),flip(a)]. given #5663 (H,wt=21): 6394 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1836(a,1),6390(a,1,2)),flip(a)]. given #5664 (H,wt=21): 6404 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(3146(a,1),5916(a,1,1))]. given #5665 (H,wt=21): 6406 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(5072,a,6021,a),flip(a)]. given #5666 (H,wt=21): 6415 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x \ 1,u,w)). [hyper(255,a,6028,a(flip),b,6152,a)]. given #5667 (H,wt=21): 6423 (1 / x) * (y * T(y \ x,z)) = K(((x \ 1) * y) \ 1,z). [hyper(255,a,5767,a(flip),b,6216,a)]. given #5668 (H,wt=21): 6430 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(96,a,6245,a),flip(a)]. given #5669 (H,wt=21): 6435 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x,u,w) \ 1). [hyper(255,a,6028,a(flip),b,6365,a)]. given #5670 (H,wt=17): 6443 T(x,R(x \ 1,y,z)) = T(x,R(x,u,w) \ 1). [hyper(22,a,6415,a(flip),b,6435,a(flip)),flip(a)]. given #5671 (H,wt=14): 6444 T(x,R(x,y,z) \ 1) = T(x,x \ 1). [hyper(255,a,4165,a(flip),b,6443,a(flip))]. given #5672 (H,wt=19): 6445 (R(x,y,z) \ 1) * T(x,x \ 1) = R(x,y,z) \ x. [para(6444(a,1),1312(a,1,2))]. given #5673 (H,wt=19): 6446 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = R(x,y,z) \ x. [hyper(255,a,274,a(flip),b,6445,a(flip)),flip(a)]. given #5674 (H,wt=15): 6448 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(255,a,6076,a(flip),b,6446,a(flip)),flip(a)]. given #5675 (H,wt=13): 6450 x / R(x,y,z) = R(x,y,z) \ x. [hyper(255,a,1952,a(flip),b,6448,a(flip)),flip(a)]. given #5676 (H,wt=13): 6453 (R(x,y,z) \ x) * R(x,y,z) = x. [para(6450(a,1),21(a,1,1))]. given #5677 (H,wt=15): 6449 T(1 / R(x,y,z),x) = R(x,y,z) \ 1. [hyper(172,a,6448,a,b,1308,a)]. given #5678 (H,wt=17): 6452 (x / R(x,y,z)) * u = (R(x,y,z) \ x) * u. [hyper(27,a,6450,a)]. given #5679 (H,wt=17): 6456 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(6453(a,1),5011(a,1,1,1))]. given #5680 (H,wt=19): 6457 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(255,a,5335,a,b,6456,a(flip)),flip(a)]. given #5681 (H,wt=20): 6451 R(x,y,z) \ x != x * u | T(1 / R(x,y,z),x) = u. [para(6448(a,1),173(a,2)),flip(a)]. given #5682 (H,wt=21): 6439 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(5132(a,1),6394(a,1,2,1))]. given #5683 (H,wt=21): 6455 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(6450(a,2),6137(a,1,2,1))]. given #5684 (H,wt=22): 5352 T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w. [para(5263(a,2),1955(a,1,1))]. given #5685 (H,wt=22): 5367 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(5184(a,2),113(a,1,2,2)),flip(a)]. given #5686 (H,wt=22): 5398 L(L(K(x,y),z,u),K(y,x),w) = L((w * K(y,x)) \ w,z,u). [para(5381(a,1),346(a,1,1,1))]. given #5687 (H,wt=22): 5457 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(23,a,1957,a,b,5265,a)]. given #5688 (H,wt=22): 5557 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(33(a,2),5221(a,1,2)),flip(a)]. given #5689 (H,wt=22): 5592 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(47(a,2),5272(a,2,1))]. given #5690 (H,wt=22): 5656 ((x * y) / x) * z != K(x,y) | T(1 / y,(x * y) / x) = z. [para(5442(a,2),173(a,2))]. given #5691 (H,wt=22): 5664 K(x,x \ y) * z != x * (y / x) | T(y,K(x,x \ y)) = z. [para(5472(a,1),173(a,2))]. given #5692 (H,wt=22): 5673 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(45(a,2),5546(a,1,2,1))]. given #5693 (H,wt=22): 5674 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(47(a,2),5553(a,1,2,1))]. given #5694 (H,wt=22): 5677 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(45(a,2),5559(a,1,1))]. given #5695 (H,wt=22): 5703 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5687(a,1),149(a,1,2,1))]. given #5696 (H,wt=22): 5705 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(3718(a,1),5430(a,1,1))]. given #5697 (H,wt=22): 5779 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [para(1424(a,1),5248(a,2,1))]. given #5698 (H,wt=15): 6462 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(255,a,6192,a(flip),b,5779,a(flip))]. given #5699 (H,wt=15): 6464 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(6462(a,1),21(a,1,1))]. given #5700 (H,wt=13): 6465 x / L(x,y,z) = L(x,y,z) \ x. [hyper(255,a,1837,a(flip),b,6464,a(flip)),flip(a)]. given #5701 (H,wt=13): 6466 (L(x,y,z) \ x) \ x = L(x,y,z). [para(6465(a,1),73(a,1,1))]. given #5702 (H,wt=22): 5929 L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2654(a,1),5488(a,1))]. given #5703 (H,wt=20): 6468 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(5187(a,1),5929(a,1,1))]. given #5704 (H,wt=17): 6470 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(6468,a,xx),flip(a)]. given #5705 (H,wt=17): 6471 K(x \ 1,x) != y | K(L(x,z,u) \ 1,x) = y. [para(4935(a,1),6468(a,1))]. given #5706 (H,wt=17): 6474 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(3309(a,2),6470(a,1,1))]. given #5707 (H,wt=17): 6475 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3312(a,1),6470(a,1,1)),flip(a)]. given #5708 (H,wt=17): 6478 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(255,a,3309,a,b,6474,a)]. given #5709 (H,wt=17): 6481 K(1 / L(1 / x,y,z),u) = L(K(x,u),y,z). [para(3310(a,1),6478(a,1,1)),flip(a)]. given #5710 (H,wt=19): 6476 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(5381(a,1),6470(a,1,1,1)),flip(a)]. given #5711 (H,wt=19): 6479 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(6475(a,1),5381(a,1,1)),flip(a)]. given #5712 (H,wt=15): 6483 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(255,a,6191,a(flip),b,6479,a(flip))]. given #5713 (H,wt=15): 6484 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [para(6483(a,1),70(a,1,2))]. given #5714 (H,wt=18): 6485 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(6483(a,1),303(a,1,2)),flip(b)]. given #5715 (H,wt=18): 6486 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6484(a,1),219(a,1,1)),flip(b)]. given #5716 (H,wt=19): 6482 K(x,1 / L(1 / y,z,u)) = 1 / L(K(y,x),z,u). [para(6481(a,1),5394(a,1,2)),flip(a)]. given #5717 (H,wt=20): 6487 K(x,L(y \ 1,z,u) \ 1) != w | L(K(x,y),z,u) = w. [para(6479(a,2),6486(a,1))]. given #5718 (H,wt=21): 6477 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5967(a,1),6470(a,1,1)),flip(a)]. given #5719 (H,wt=21): 6480 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(6475(a,1),5600(a,1,1)),flip(a)]. given #5720 (H,wt=17): 6488 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(6191(a,1),6480(a,1,1)),flip(a)]. given #5721 (H,wt=17): 6489 x / (L(K(y,z),u,w) * x) = L(K(z,y),u,w). [hyper(416,a,6488,a)]. given #5722 (H,wt=17): 6491 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(222,a,6488,a)]. given #5723 (H,wt=18): 6495 L(K(x,y),z,u) != w | L(K(y,x),z,u) \ 1 = w. [para(6489(a,1),217(a,1)),flip(b)]. given #5724 (H,wt=20): 6492 x / (L(K(y,z),u,w) * x) != v5 | L(K(z,y),u,w) = v5. [para(6488(a,1),303(a,1,2)),flip(b)]. given #5725 (H,wt=20): 6493 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(6489(a,1),89(a,1,1)),flip(b)]. given #5726 (H,wt=20): 6494 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(6489(a,1),219(a,1,1)),flip(b)]. given #5727 (H,wt=21): 6490 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(255,a,2077,a(flip),b,6488,a)]. given #5728 (H,wt=22): 5934 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5556(a,1),5593(a,1,2))]. given #5729 (H,wt=22): 5954 K(x,x \ 1) * (x * y) != z | x * (K(x,x \ 1) * y) = z. [para(3026(a,2),5940(a,1))]. given #5730 (H,wt=22): 5960 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(5170(a,1),4800(a,1,1,1))]. given #5731 (H,wt=19): 6496 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(5169(a,1),5960(a,1,1)),flip(a)]. given #5732 (H,wt=19): 6497 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(255,a,45,a,b,6496,a)]. given #5733 (H,wt=22): 5972 T(x \ T(x,y \ 1),z) != u | x \ T(x,T(y,z) \ 1) = u. [para(5244(a,2),5218(a,1))]. given #5734 (H,wt=22): 6151 (K(x \ 1,x) * y) * K(x,x \ 1) != z * u | z \ y = u. [para(2247(a,1),5617(a,1))]. given #5735 (H,wt=22): 6163 T(x,T(x,y) \ 1) != z | (T(x,y) \ 1) \ (T(x,y) \ x) = z. [para(1090(a,1),6157(a,1,1))]. given #5736 (H,wt=22): 6190 (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). [para(6185(a,1),112(a,1,2))]. given #5737 (H,wt=22): 6207 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(6204(a,1),122(a,1,1))]. given #5738 (H,wt=22): 6208 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(123(a,1),6204(a,2,1,1))]. given #5739 (H,wt=20): 6501 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(6002(a,1),6208(a,1,1))]. given #5740 (H,wt=22): 6214 (x * y) * z != x * T(y,u) | K(((x * y) \ x) \ 1,u) = z. [para(5516(a,1),24(a,1)),flip(a)]. given #5741 (H,wt=22): 6220 (x * y) \ (K(x \ 1,z) * y) != u | T((x * y) \ y,z) = u. [para(5524(a,1),222(a,1,2)),flip(b)]. given #5742 (H,wt=22): 6232 K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). [para(3043(a,1),5767(a,1,1,1)),flip(a)]. given #5743 (H,wt=22): 6242 T(x,x \ T(x * y,y \ 1)) = T(x,L(y \ 1,y,x) \ 1). [para(6240(a,1),4409(a,1,2,2))]. given #5744 (H,wt=22): 6243 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(5073(a,1),6241(a,1,2))]. given #5745 (H,wt=22): 6248 K(x,(y / z) \ 1) * z != z * u | K(x,(z \ y) \ 1) = u. [para(6121(a,2),24(a,1))]. given #5746 (H,wt=22): 6249 x * K(y,(x \ z) \ 1) != u * x | K(y,(z / x) \ 1) = u. [para(6121(a,1),25(a,1))]. given #5747 (H,wt=22): 6251 T(x * y,z) != u * (y * x) | (y * x) \ T(x * y,z) = u. [para(6197(a,1),25(a,1))]. given #5748 (H,wt=22): 6308 K(x \ 1,x) * K(y,x) != z | (x \ 1) * (x * K(y,x)) = z. [para(3171(a,1),5715(a,1,2))]. given #5749 (H,wt=22): 6329 K(x \ y,T(x / y,T(y,x))) != z | K(x \ y,y \ x) = z. [para(2543(a,2),6196(a,1))]. given #5750 (H,wt=22): 6367 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(817,a,6366,a),flip(a)]. given #5751 (H,wt=17): 6505 (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). [hyper(80,a,6378,a(flip),b,6367,a(flip)),flip(a)]. given #5752 (H,wt=17): 6506 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(5853(a,1),6505(a,1,1))]. given #5753 (H,wt=22): 6420 ((x \ 1) * y) / ((x \ K(x,z)) * y) = R(K(z,x),x \ 1,y). [para(3605(a,1),6417(a,1,2,1))]. given #5754 (H,wt=22): 6460 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(255,a,6416,a(flip),b,5703,a(flip)),flip(a)]. given #5755 (H,wt=22): 6461 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5752(a,1),5705(a,1,1,1))]. given #5756 (H,wt=22): 6499 (x * K(y \ 1,y)) * K(y,y \ 1) != z * u | z \ x = u. [para(2263(a,1),6151(a,1,1))]. given #5757 (H,wt=22): 6502 R(K(x \ (y / z),x),y / z,z) = K(((x * z) / y) \ 1,x). [para(21(a,1),6501(a,2,1,1,2))]. given #5758 (H,wt=22): 6507 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(255,a,4869,a(flip),b,6461,a)]. given #5759 (H,wt=23): 5354 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(112(a,1),5175(a,1,2))]. given #5760 (H,wt=23): 5399 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(5381(a,1),2018(a,2,2,1))]. given #5761 (H,wt=23): 5407 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(5192(a,1),2185(a,1,2,1))]. given #5762 (H,wt=23): 5426 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(122(a,1),5217(a,1,1))]. given #5763 (H,wt=23): 5446 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [para(915(a,1),5237(a,2,1)),flip(a)]. given #5764 (H,wt=23): 5453 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(5243(a,2),431(a,1,2,2))]. given #5765 (H,wt=23): 5460 x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). [para(5265(a,1),5083(a,1,2)),flip(a)]. given #5766 (H,wt=19): 6513 (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). [para(5308(a,1),5460(a,1,2)),flip(a)]. given #5767 (H,wt=23): 5637 T(x,y * K(x,y)) / (T(x,y) * y) = x / ((y * K(x,y)) * x). [para(5284(a,1),4538(a,1,2))]. given #5768 (H,wt=19): 6515 T(x,y) / (T(x,y) * y) = x / ((y * K(x,y)) * x). [para(5310(a,1),5637(a,1,1))]. given #5769 (H,wt=15): 6516 T(x,y) / (T(x,y) * y) = x / (x * y). [para(5265(a,1),6515(a,2,2))]. given #5770 (H,wt=15): 6517 (x / (x * y)) \ T(x,y) = T(x,y) * y. [para(6516(a,1),73(a,1,1))]. given #5771 (H,wt=23): 5639 T(x,x \ y) / ((y \ x) \ x) = x / ((x \ ((y \ x) \ x)) * x). [para(5290(a,1),4598(a,1,1))]. given #5772 (H,wt=23): 5698 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(5645(a,1),182(a,1,2,1))]. given #5773 (H,wt=21): 6518 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(255,a,6118,a(flip),b,5698,a)]. given #5774 (H,wt=23): 5727 (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). [para(5708(a,1),33(a,2,2,2)),flip(a)]. given #5775 (H,wt=23): 5743 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(81,a,831,a(flip),b,5222,a)]. given #5776 (H,wt=23): 5891 K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u). [hyper(255,a,5763,a,b,5799,a)]. given #5777 (H,wt=23): 5989 K(x,T(y,z)) * K(y \ 1,y) = (T(T(y,z),x) \ 1) * T(y,z). [para(3181(a,1),5408(a,1,2))]. given #5778 (H,wt=23): 6019 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(849,a,5515,a),flip(a)]. given #5779 (H,wt=21): 6521 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [para(127(a,1),6019(a,2,2))]. given #5780 (H,wt=23): 6023 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [para(5515(a,1),2010(a,2,1)),flip(a)]. given #5781 (H,wt=23): 6034 T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). [hyper(255,a,5861,a,b,5693,a),flip(a)]. given #5782 (H,wt=23): 6041 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(5002(a,1),5764(a,1,1,1))]. given #5783 (H,wt=23): 6043 K(x,(y * (z / (1 / u))) \ w) = K(x,(y * (z / (u \ 1))) \ w). [para(4991(a,1),5812(a,1,2,1)),flip(a)]. given #5784 (H,wt=23): 6044 K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). [para(3986(a,1),5813(a,1,2,2))]. given #5785 (H,wt=23): 6050 T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). [para(5515(a,2),5826(a,1,2,1))]. given #5786 (H,wt=23): 6052 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5819(a,1),5827(a,1,1,1))]. given #5787 (H,wt=23): 6145 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(5440(a,2),4550(a,1,1))]. given #5788 (H,wt=23): 6165 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(47(a,2),6159(a,1))]. given #5789 (H,wt=23): 6212 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(6205(a,1),6204(a,1,1)),flip(a)]. given #5790 (H,wt=23): 6223 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(848(a,1),5526(a,1,2))]. given #5791 (H,wt=23): 6234 T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). [para(2425(a,1),5770(a,1,1))]. given #5792 (H,wt=23): 6247 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(5155(a,1),6045(a,1,2,1)),flip(a)]. given #5793 (H,wt=23): 6256 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(73(a,1),6224(a,1,2,1,1))]. given #5794 (H,wt=19): 6525 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(73(a,1),6256(a,2,1,1))]. given #5795 (H,wt=19): 6526 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(18(a,1),6525(a,1,2,2)),flip(a)]. given #5796 (H,wt=23): 6257 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3312(a,1),6224(a,1,2,1))]. given #5797 (H,wt=19): 6529 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3312(a,1),6257(a,2,1))]. given #5798 (H,wt=17): 6531 K(x,y) * ((x \ 1) \ T(y,x)) = (x \ 1) \ y. [hyper(80,a,5207,a(flip),b,6529,a),flip(a)]. given #5799 (H,wt=19): 6532 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(18(a,1),6529(a,1,2,2)),flip(a)]. given #5800 (H,wt=19): 6539 ((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x). [para(6532(a,1),5605(a,1,2))]. given #5801 (H,wt=19): 6540 ((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z) = K(y,x). [para(5608(a,1),6539(a,1,2,2))]. given #5802 (H,wt=22): 6537 x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). [para(6532(a,2),190(a,1,2))]. given #5803 (H,wt=20): 6542 L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). [hyper(5668,a,6537,a),flip(a)]. given #5804 (H,wt=20): 6543 T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). [para(5608(a,1),6542(a,1,1)),flip(a)]. given #5805 (H,wt=23): 6260 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5381(a,1),6244(a,1,2,2,1,1,2))]. given #5806 (H,wt=23): 6315 R(x,y,z) \ R(x * K(u,x),y,z) != w | K(u,R(x,y,z)) = w. [para(5986(a,1),222(a,1,2)),flip(b)]. given #5807 (H,wt=23): 6317 R(x,y,z) * K(u,R(x,y,z)) != w | R(x * K(u,x),y,z) = w. [para(5994(a,1),220(a,1,2)),flip(b)]. given #5808 (H,wt=23): 6354 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(255,a,4556,a(flip),b,5594,a)]. given #5809 (H,wt=23): 6355 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(255,a,4557,a(flip),b,5595,a)]. given #5810 (H,wt=23): 6405 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(4065(a,1),6015(a,1,2)),flip(a)]. given #5811 (H,wt=21): 6548 K((x \ (y / (z \ 1))) \ 1,y) = K((x \ (y * z)) \ 1,y). [hyper(255,a,6014,a(flip),b,6405,a)]. given #5812 (H,wt=23): 6422 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5515(a,1),6215(a,1,1))]. given #5813 (H,wt=23): 6424 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(848(a,1),6216(a,1,2)),flip(a)]. given #5814 (H,wt=23): 6434 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(81,a,6342,a(flip),b,2899,a)]. given #5815 (H,wt=23): 6509 R(K(x \ (y / z),x),y / z,z) != u | K(y / (x * z),x) = u. [para(6502(a,2),6146(a,1))]. given #5816 (H,wt=23): 6510 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(5261(a,1),5399(a,1,2))]. given #5817 (H,wt=19): 6551 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(255,a,6090,a(flip),b,6510,a)]. given #5818 (H,wt=23): 6512 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1955,a,5426,a),flip(a)]. given #5819 (H,wt=22): 6552 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(5378(a,1),6512(a,1,2)),flip(a)]. given #5820 (H,wt=20): 6553 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(255,a,5415,a(flip),b,6552,a)]. given #5821 (H,wt=23): 6519 K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). [para(6518(a,1),3543(a,1,2))]. given #5822 (H,wt=23): 6520 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(5547(a,1),5743(a,1,1,2)),flip(a)]. given #5823 (H,wt=23): 6533 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(37(a,2),6529(a,1,2,2))]. given #5824 (H,wt=23): 6535 K(T(x,y),y) * ((T(x,y) \ 1) \ T(y,x)) = (T(x,y) \ 1) \ y. [para(4446(a,1),6531(a,1,2,2))]. given #5825 (H,wt=21): 6556 K(x,y) * ((T(x,y) \ 1) \ T(y,x)) = (T(x,y) \ 1) \ y. [para(5368(a,1),6535(a,1,1))]. given #5826 (H,wt=23): 6536 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [para(127(a,1),6532(a,2,2))]. given #5827 (H,wt=23): 6544 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5515(a,2),6260(a,1,2))]. given #5828 (H,wt=23): 6545 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(6020(a,1),6260(a,1,2)),flip(a)]. given #5829 (H,wt=23): 6557 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(87,a,6544,a)]. given #5830 (H,wt=23): 6560 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6557(a,1),5025(a,1,1))]. given #5831 (H,wt=23): 6561 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(18(a,1),6560(a,1,1,2,1)),flip(a)]. given #5832 (H,wt=24): 5318 T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). [hyper(81,a,5252,a,b,100,a)]. given #5833 (H,wt=24): 5433 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(5217(a,2),103(a,1,2))]. given #5834 (H,wt=24): 5443 (x * y) * K(T(y,x),x * y) != z | T(y,x * y) * T(x,y) = z. [para(5217(a,1),4746(a,1))]. given #5835 (H,wt=24): 5530 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * K(y \ 1,z)) * z. [para(5187(a,1),2454(a,2,1,2))]. given #5836 (H,wt=21): 6563 x * (y * ((z \ (y \ z)) * z)) = (x * K(y \ 1,z)) * z. [hyper(255,a,5118,a(flip),b,5530,a(flip)),flip(a)]. given #5837 (H,wt=19): 6564 (x * K(y \ 1,z)) * z = x * (z * K(y \ 1,z)). [para(5224(a,1),6563(a,1,2)),flip(a)]. given #5838 (H,wt=10): 6565 R(x,K(y \ 1,z),z) = x. [hyper(3159,a,6564,a)]. given #5839 (H,wt=8): 6566 R(x,K(y,z),z) = x. [para(73(a,1),6565(a,1,2,1))]. given #5840 (H,wt=8): 6567 R(x,y,K(z,y)) = x. [hyper(6332,a,6566,a)]. given #5841 (H,wt=15): 6568 (x * K(y,z)) * z = x * (z * K(y,z)). [para(6566(a,1),3157(a,1,1)),flip(a)]. given #5842 (H,wt=15): 6569 (x * y) * K(z,y) = x * (y * K(z,y)). [para(6567(a,1),122(a,1,1)),flip(a)]. given #5843 (H,wt=10): 6572 L(K(x,y),y,z) = K(x,y). [hyper(422,a,6569,a)]. given #5844 (H,wt=8): 6579 a(x,y,K(z,y)) = 1. [hyper(39,a,6572,a)]. given #5845 (H,wt=10): 6584 a(x,T(y,z),K(z,y)) = 1. [para(4195(a,1),6579(a,1,3))]. given #5846 (H,wt=12): 6583 L(K(x,y),x,z) = K(y,x) \ 1. [para(6572(a,1),6483(a,1,1)),flip(a)]. given #5847 (H,wt=10): 6586 L(K(x,y),x,z) = K(x,y). [hyper(255,a,5381,a(flip),b,6583,a)]. given #5848 (H,wt=12): 6585 L(K(x,y),T(y,x),z) = K(x,y). [hyper(38,a,6584,a)]. given #5849 (H,wt=13): 6580 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(255,a,6195,a(flip),b,6572,a(flip)),flip(a)]. given #5850 (H,wt=13): 6587 L(K(x,y),x,z) != u | K(x,y) = u. [para(6583(a,2),5384(a,1))]. given #5851 (H,wt=13): 6588 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(255,a,5256,a,b,6586,a(flip)),flip(a)]. given #5852 (H,wt=13): 6589 x \ ((x / y) * T(y,z)) = K(y,z). [hyper(255,a,5260,a(flip),b,6586,a(flip)),flip(a)]. given #5853 (H,wt=13): 6594 (x * T(y,z)) \ (x * y) = K(z,y). [hyper(255,a,5202,a(flip),b,6585,a(flip)),flip(a)]. given #5854 (H,wt=13): 6595 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(6175,a,6580,a)]. given #5855 (H,wt=13): 6599 T(K(x,y / z),y) = K(x,z \ y). [hyper(255,a,6088,a,b,6580,a(flip)),flip(a)]. given #5856 (H,wt=13): 6601 K(x,((y * z) \ y) \ 1) = K(x,z). [para(18(a,1),6580(a,2,2))]. given #5857 (H,wt=13): 6618 (x * y) * K(y,z) = x * T(y,z). [para(6588(a,1),19(a,1,2))]. given #5858 (H,wt=8): 6642 R(x,y,K(y,z)) = x. [hyper(5331,a,6618,a)]. given #5859 (H,wt=13): 6620 ((x / T(y,z)) * y) \ x = K(y,z). [para(21(a,1),6588(a,1,2))]. given #5860 (H,wt=13): 6629 (x / y) * T(y,z) = x * K(y,z). [para(6589(a,1),19(a,1,2)),flip(a)]. given #5861 (H,wt=13): 6631 (x / y) \ (x * K(y,z)) = T(y,z). [para(6589(a,1),65(a,1,2,2))]. given #5862 (H,wt=13): 6633 (x * T(y,z)) * K(z,y) = x * y. [para(6594(a,1),19(a,1,2))]. given #5863 (H,wt=13): 6635 ((x / y) * T(y,z)) \ x = K(z,y). [para(21(a,1),6594(a,1,2))]. given #5864 (H,wt=11): 6670 (x * K(y,z)) \ x = K(z,y). [para(6629(a,1),6635(a,1,1))]. given #5865 (H,wt=11): 6672 (x * K(y,z)) * K(z,y) = x. [para(6670(a,1),19(a,1,2))]. given #5866 (H,wt=11): 6673 x / K(y,z) = x * K(z,y). [para(6670(a,1),70(a,1,2))]. given #5867 (H,wt=13): 6641 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(6214,a,6618,a)]. given #5868 (H,wt=13): 6658 T(x,(x / y) / x) = T(x,1 / y). [hyper(172,a,5693,a(flip),b,6629,a)]. given #5869 (H,wt=13): 6659 (x * T(y,z)) / y = x * K(y,z). [hyper(255,a,1345,a,b,6629,a(flip)),flip(a)]. given #5870 (H,wt=13): 6660 (x / T(y,z)) * K(y,z) = x / y. [hyper(255,a,1346,a(flip),b,6629,a(flip))]. given #5871 (H,wt=13): 6663 (x * K(y,z)) * y = x * T(y,z). [para(6629(a,1),1343(a,1,1))]. given #5872 (H,wt=13): 6664 (x * K(y,z)) \ (x * T(y,z)) = y. [para(6629(a,1),1347(a,1,1))]. given #5873 (H,wt=8): 6733 L(x,K(x,y),z) = x. [hyper(5349,a,6664,a)]. given #5874 (H,wt=12): 6734 L(T(x,y),K(x,z),u) = T(x,y). [para(6733(a,1),45(a,2,1))]. given #5875 (H,wt=13): 6666 (x * K(y,z)) / z = x / T(z,y). [hyper(535,a,6633,a)]. given #5876 (H,wt=13): 6667 (x / T(y,z)) * y = x * K(z,y). [hyper(308,a,6633,a),flip(a)]. given #5877 (H,wt=13): 6682 (K(x,y) * z) \ z = T(K(y,x),z). [para(6670(a,1),6303(a,1,1)),flip(a)]. given #5878 (H,wt=13): 6688 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(23,a,3604,a,b,6672,a)]. given #5879 (H,wt=13): 6707 K((x \ y) \ 1,z) = K(y \ x,z). [para(19(a,1),6641(a,1,1,1,1))]. given #5880 (H,wt=13): 6715 (1 / x) * K(x,y) = K(x,y) / x. [para(5241(a,2),6659(a,1,1)),flip(a)]. given #5881 (H,wt=13): 6718 (x / y) * K(z,y) = x / T(y,z). [hyper(23,a,6672,a,b,6660,a),flip(a)]. given #5882 (H,wt=13): 6723 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(23,a,4695,a(flip),b,6663,a)]. given #5883 (H,wt=13): 6732 (x * K(y,z)) * T(z,y) = x * z. [para(6672(a,1),6663(a,1,1)),flip(a)]. given #5884 (H,wt=13): 6750 (K(x,y) * z) * T(K(y,x),z) = z. [para(6682(a,1),19(a,1,2))]. given #5885 (H,wt=13): 6755 T(K(x / y,z),x) = K(y \ x,z). [hyper(255,a,5962,a,b,6707,a(flip)),flip(a)]. given #5886 (H,wt=13): 6757 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(255,a,5961,a(flip),b,6707,a(flip))]. given #5887 (H,wt=13): 6778 (x / y) * K(x,y) = T(x,y) / y. [hyper(255,a,4456,a,b,6718,a)]. given #5888 (H,wt=13): 6782 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(87,a,6723,a),flip(a)]. given #5889 (H,wt=13): 6783 (x \ y) * K(y,x) = x \ T(y,x). [hyper(23,a,6672,a,b,6723,a),flip(a)]. given #5890 (H,wt=13): 6784 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(87,a,6732,a)]. given #5891 (H,wt=13): 6790 K(T(x,x \ y),z) = T(K(x,z),y). [para(128(a,2),6757(a,1,1))]. given #5892 (H,wt=14): 6577 L(K(x,y),y,z) = K(x,y * K(x,y)). [hyper(255,a,5392,a,b,6572,a)]. given #5893 (H,wt=14): 6674 x * K(y,z) != u | u * K(z,y) = x. [para(6670(a,1),94(a,1,2)),flip(b)]. given #5894 (H,wt=14): 6675 (x * K(y,z)) * K(z,y) != u | u = x. [para(6670(a,1),220(a,1,2))]. given #5895 (H,wt=14): 6677 x / K(y,z) != u | x * K(z,y) = u. [para(6670(a,1),303(a,1,2)),flip(b)]. given #5896 (H,wt=14): 6693 (x * K(y,z)) \ x != u | K(z,y) = u. [para(6672(a,1),222(a,1,2)),flip(b)]. given #5897 (H,wt=14): 6700 x / K(y,z) != x * u | K(z,y) = u. [para(6673(a,2),24(a,1))]. given #5898 (H,wt=14): 6794 T(x,y) * K(y,T(x,y)) != z | z = x. [para(5212(a,1),6675(a,1,1))]. given #5899 (H,wt=14): 6800 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(6095(a,1),6794(a,1))]. given #5900 (H,wt=14): 6801 T(K(x,y),K(x,z)) != u | K(x,y) = u. [para(2074(a,1),6800(a,1,1)),flip(b)]. given #5901 (H,wt=14): 6802 T(K(x,y),K(y,z)) != u | K(x,y) = u. [para(6105(a,1),6800(a,1,1)),flip(b)]. given #5902 (H,wt=14): 6803 T(K(x,y),K(z,x)) != u | K(x,y) = u. [para(6106(a,1),6800(a,1,1)),flip(b)]. given #5903 (H,wt=15): 6570 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(87,a,6568,a)]. given #5904 (H,wt=12): 6804 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(686,a,6570,a)]. given #5905 (H,wt=8): 6805 L(x,K(y,x),z) = x. [para(3140(a,1),6804(a,1,1))]. given #5906 (H,wt=15): 6573 (x * K(y,z)) * z = (x * z) * K(y,z). [hyper(255,a,6568,a,b,6569,a),flip(a)]. given #5907 (H,wt=15): 6574 (x * y) * K(z,y) = x * ((z * y) / z). [hyper(255,a,5421,a,b,6569,a)]. given #5908 (H,wt=15): 6597 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [hyper(255,a,5381,a,b,6580,a)]. given #5909 (H,wt=15): 6619 x \ (y * T(y \ x,z)) = K(y \ x,z). [para(19(a,1),6588(a,1,1))]. given #5910 (H,wt=15): 6634 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(19(a,1),6594(a,1,2))]. given #5911 (H,wt=15): 6643 x * T(x \ y,z) = y * K(x \ y,z). [hyper(519,a,6618,a),flip(a)]. given #5912 (H,wt=15): 6680 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(6670(a,2),5600(a,1,1))]. given #5913 (H,wt=15): 6685 (x * (y * K(z,y))) \ (x * y) = K(y,z). [para(6569(a,1),6670(a,1,1))]. given #5914 (H,wt=15): 6686 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(172,a,6672,a,b,5608,a)]. given #5915 (H,wt=15): 6687 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [hyper(23,a,6102,a,b,6672,a)]. given #5916 (H,wt=15): 6689 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(23,a,2075,a,b,6672,a)]. given #5917 (H,wt=15): 6699 (x * K(y,z)) * (y * K(z,y)) = x * y. [para(6672(a,1),6568(a,1,1)),flip(a)]. given #5918 (H,wt=15): 6712 x \ (y * T(x,z)) = T(y * K(x,z),x). [para(6659(a,1),129(a,1,1)),flip(a)]. given #5919 (H,wt=15): 6713 x * T(y * K(x,z),x) = y * T(x,z). [para(6659(a,1),171(a,1,2,1))]. given #5920 (H,wt=15): 6719 (x * K(y,z)) * y = (x * y) * K(y,z). [hyper(255,a,6618,a,b,6663,a)]. given #5921 (H,wt=15): 6722 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(80,a,6629,a(flip),b,6663,a)]. given #5922 (H,wt=15): 6728 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(5206(a,1),6663(a,1,1))]. given #5923 (H,wt=15): 6731 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(6633(a,1),6663(a,1,1)),flip(a)]. given #5924 (H,wt=15): 6741 x \ (y * K(z,x)) = T(y / T(x,z),x). [para(6666(a,1),129(a,1,1)),flip(a)]. given #5925 (H,wt=15): 6759 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(37(a,2),6707(a,1,1,1))]. given #5926 (H,wt=15): 6764 T(x,(y \ z) \ 1) = K(z \ y,x) \ x. [para(6707(a,1),5208(a,2,1))]. given #5927 (H,wt=13): 6850 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(255,a,5208,a,b,6764,a)]. given #5928 (H,wt=13): 6854 T(x,(y * z) \ y) = T(x,z \ 1). [para(18(a,1),6850(a,1,2,1)),flip(a)]. given #5929 (H,wt=15): 6777 x / T(y \ x,z) = y * K(z,y \ x). [hyper(302,a,6718,a),flip(a)]. given #5930 (H,wt=15): 6788 K(x / y,z) * x = x * K(y \ x,z). [para(6755(a,1),127(a,1,2)),flip(a)]. given #5931 (H,wt=15): 6792 x \ T(x * y,x) = y * K(x * y,x). [para(18(a,1),6783(a,1,1)),flip(a)]. given #5932 (H,wt=15): 6814 (x * ((y * z) / y)) * K(z,y) = x * z. [hyper(6674,a,6574,a)]. given #5933 (H,wt=15): 6837 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(6686(a,1),6101(a,1,1))]. given #5934 (H,wt=15): 6839 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(5600(a,2),6687(a,1,1))]. given #5935 (H,wt=13): 6872 x / T(K(y,z),x) = K(y,z) \ x. [hyper(23,a,4452,a,b,6839,a),flip(a)]. given #5936 (H,wt=15): 6840 (x * y) / ((z * y) / z) = x * K(y,z). [hyper(5838,a,6699,a)]. given #5937 (H,wt=15): 6841 x / (y * K(z,y)) = (x / y) * K(y,z). [hyper(81,a,21,a(flip),b,6699,a)]. given #5938 (H,wt=15): 6849 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(255,a,5968,a(flip),b,6759,a(flip))]. given #5939 (H,wt=15): 6857 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(37(a,2),6850(a,1,2,1))]. given #5940 (H,wt=15): 6867 (x / ((y * z) / y)) * z = x * K(z,y). [hyper(308,a,6814,a),flip(a)]. given #5941 (H,wt=15): 6873 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(255,a,5438,a(flip),b,6840,a(flip)),flip(a)]. given #5942 (H,wt=15): 6874 x / ((y * z) / y) = (x / z) * K(z,y). [hyper(255,a,251,a(flip),b,6840,a(flip)),flip(a)]. given #5943 (H,wt=15): 6884 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(6674,a,6874,a(flip))]. given #5944 (H,wt=16): 6581 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(6572(a,1),50(a,1,1)),flip(a)]. given #5945 (H,wt=16): 6621 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6588(a,1),220(a,1,2)),flip(b)]. given #5946 (H,wt=16): 6630 x * K(y,z) != u | (x / y) * T(y,z) = u. [para(6589(a,1),220(a,1,2)),flip(b)]. given #5947 (H,wt=16): 6681 (x \ R(x,y,x)) \ K(x * y,x) = K(y,x). [para(5942(a,1),6670(a,1,1))]. given #5948 (H,wt=16): 6714 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(6659(a,1),226(a,1,1)),flip(b)]. given #5949 (H,wt=16): 6746 x * K(y,z) != u * z | x / T(z,y) = u. [para(6667(a,1),25(a,1))]. given #5950 (H,wt=16): 6787 (x * K(y,z)) \ (x * z) != u | T(z,y) = u. [para(6732(a,1),222(a,1,2)),flip(b)]. given #5951 (H,wt=16): 6795 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(6660(a,1),6675(a,1,1)),flip(b)]. given #5952 (H,wt=16): 6815 (1 / x) * ((y * x) / y) != z | K(y,x) = z. [para(6574(a,1),158(a,1))]. given #5953 (H,wt=16): 6817 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(6597(a,2),5384(a,1))]. given #5954 (H,wt=16): 6852 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(6764(a,2),5227(a,1))]. given #5955 (H,wt=16): 6898 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(3707(a,2),6817(a,1))]. given #5956 (H,wt=16): 6900 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(6088(a,2),6817(a,1))]. given #5957 (H,wt=17): 6576 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(5268(a,1),6569(a,2,2))]. given #5958 (H,wt=17): 6609 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5600(a,1),6580(a,1,2,1))]. given #5959 (H,wt=17): 6610 K(x,(y \ K(z,u)) \ 1) = K(x,K(u,z) * y). [para(5600(a,1),6580(a,2,2))]. given #5960 (H,wt=17): 6613 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6580(a,1),5775(a,1,2))]. given #5961 (H,wt=17): 6645 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(172,a,6618,a,b,19,a),flip(a)]. given #5962 (H,wt=15): 6907 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(255,a,5413,a(flip),b,6645,a(flip))]. given #5963 (H,wt=15): 6908 x * T(y / x,T(x,z)) = T(y,K(x,z)). [para(21(a,1),6907(a,1,1)),flip(a)]. given #5964 (H,wt=15): 6909 x \ T(y,K(x,z)) = T(y / x,T(x,z)). [hyper(87,a,6908,a)]. given #5965 (H,wt=17): 6653 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(6618(a,1),6568(a,1,1)),flip(a)]. given #5966 (H,wt=17): 6704 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(6673(a,1),5788(a,2,2))]. given #5967 (H,wt=17): 6730 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(6569(a,1),6663(a,1,1))]. given #5968 (H,wt=17): 6742 (x * K(y,z / y)) / (z / y) = x / (y \ z). [para(129(a,1),6666(a,2,2))]. given #5969 (H,wt=17): 6766 K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). [para(5600(a,1),6707(a,1,1,1))]. given #5970 (H,wt=17): 6769 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [para(6707(a,1),6018(a,2,2))]. given #5971 (H,wt=13): 6915 K((x \ 1) \ y,x) = K(x * y,x). [hyper(22,a,6792,a(flip),b,6769,a(flip))]. given #5972 (H,wt=13): 6917 K((1 / x) \ y,x) = K(x * y,x). [hyper(255,a,5755,a,b,6915,a(flip)),flip(a)]. given #5973 (H,wt=17): 6771 x * (y * K((x \ 1) \ y,z)) = T(x * y,z). [para(6707(a,1),6244(a,1,2,2))]. given #5974 (H,wt=17): 6816 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(6574(a,1),6663(a,1,1))]. given #5975 (H,wt=17): 6864 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(23,a,3145,a(flip),b,6788,a)]. given #5976 (H,wt=17): 6878 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(5268(a,1),6841(a,1,2)),flip(a)]. given #5977 (H,wt=17): 6879 x / (y / (y / z)) = (x / z) * K(z,y / z). [para(5425(a,2),6841(a,1,2))]. given #5978 (H,wt=17): 6880 x / T(y * x,T(y,x) \ 1) = (y * x) \ x. [para(6857(a,2),199(a,1,2))]. given #5979 (H,wt=17): 6882 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(4524(a,1),6867(a,1,1,2))]. given #5980 (H,wt=17): 6886 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [para(19(a,1),6884(a,1,1,2,1))]. given #5981 (H,wt=17): 6903 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [hyper(308,a,6576,a),flip(a)]. given #5982 (H,wt=17): 6919 K(x,1 / x) * (y / x) = y / (1 / (1 / x)). [hyper(255,a,2259,a,b,6879,a),flip(a)]. given #5983 (H,wt=18): 6647 x * T(x \ y,z) != u | y * K(x \ y,z) = u. [para(6618(a,1),519(a,1))]. given #5984 (H,wt=18): 6683 L(L(K(x,y),z,u),K(y,x),w) = L(K(x,y),z,u). [para(6670(a,1),5398(a,2,1))]. given #5985 (H,wt=18): 6694 K(x,y) * z != u | T(u * K(y,x),K(x,y)) = z. [para(6672(a,1),173(a,2))]. given #5986 (H,wt=18): 6716 T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. [para(6659(a,1),6157(a,1,1))]. given #5987 (H,wt=18): 6726 x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. [para(6663(a,1),223(a,1,2))]. given #5988 (H,wt=18): 6737 L(x * y,K(y * x,z),u) = (y \ (y * x)) * y. [para(6733(a,1),5115(a,1,1,2)),flip(a)]. given #5989 (H,wt=14): 6927 L(x * y,K(y * x,z),u) = x * y. [para(18(a,1),6737(a,2,1))]. given #5990 (H,wt=18): 6740 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(6734(a,1),50(a,1,1)),flip(a)]. given #5991 (H,wt=18): 6748 x \ (y * K(z,x)) != u | T(y / T(x,z),x) = u. [para(6667(a,1),223(a,1,2))]. given #5992 (H,wt=18): 6765 K(x \ y,z) \ z != u | T(z,(y \ x) \ 1) = u. [para(6707(a,1),5227(a,1,1))]. given #5993 (H,wt=16): 6930 T(x,y \ z) != u | T(x,(z \ y) \ 1) = u. [para(5208(a,2),6765(a,1))]. given #5994 (H,wt=18): 6789 x * K(y \ x,z) != u * x | K(x / y,z) = u. [para(6755(a,1),174(a,1,2)),flip(b)]. given #5995 (H,wt=18): 6799 (x * (y * K(z,y))) \ (x * y) != u | K(y,z) = u. [para(6569(a,1),6693(a,1,1))]. given #5996 (H,wt=18): 6812 (x * K(y,z)) * z != (x * z) * u | K(y,z) = u. [para(6573(a,2),24(a,1))]. given #5997 (H,wt=18): 6832 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(6643(a,2),222(a,1,2)),flip(b)]. given #5998 (H,wt=16): 6934 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(5513(a,1),6832(a,1))]. given #5999 (H,wt=16): 6935 T(K(x,y),z) != u | K((x \ z) \ z,y) = u. [para(5961(a,1),6934(a,1))]. given #6000 (H,wt=14): 6937 K(x,y) != z | K((x \ 1) \ 1,y) = z. [para(153(a,1),6935(a,1))]. given #6001 (H,wt=16): 6936 T(K(x / y,z),x) != u | K(y \ x,z) = u. [para(5962(a,2),6934(a,1))]. given #6002 (H,wt=14): 6939 K(x / y,x) != z | K(y \ x,x) = z. [para(3139(a,1),6936(a,1))]. given #6003 (H,wt=18): 6836 (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. [para(6643(a,2),6693(a,1,1))]. given #6004 (H,wt=18): 6838 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(6686(a,1),6800(a,1,1)),flip(b)]. given #6005 (H,wt=18): 6844 (x * y) * K(y,z) != u * y | x * K(y,z) = u. [para(6719(a,1),25(a,1))]. given #6006 (H,wt=18): 6845 (x * K(y,z)) / y != u | (x / y) * K(y,z) = u. [para(6722(a,1),303(a,1,2)),flip(b)]. given #6007 (H,wt=18): 6858 T(x,L(y \ 1,y,z) \ 1) = T(x,z \ (z * y)). [para(162(a,2),6850(a,1,2,1))]. given #6008 (H,wt=14): 6942 T(x,L(y \ 1,y,z) \ 1) = T(x,y). [para(18(a,1),6858(a,2,2))]. given #6009 (H,wt=15): 6943 T(x,x \ T(x * y,y \ 1)) = T(x,y). [hyper(255,a,6242,a,b,6942,a(flip)),flip(a)]. given #6010 (H,wt=18): 6861 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(6850(a,1),6159(a,1))]. given #6011 (H,wt=18): 6865 x \ T(x * y,x) != y * z | K(x * y,x) = z. [para(6792(a,2),24(a,1))]. given #6012 (H,wt=18): 6871 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(6837(a,1),6800(a,1,1)),flip(b)]. given #6013 (H,wt=18): 6885 (x / ((y * z) / y)) * K(y,z) != u | x / z = u. [para(6874(a,2),6675(a,1,1)),flip(b)]. given #6014 (H,wt=18): 6892 (x \ K(x,y)) * x != z | (x \ 1) * T(x,y) = z. [para(3604(a,1),6714(a,1,1))]. given #6015 (H,wt=18): 6894 x * K(y,x \ z) != u | z / T(x \ z,y) = u. [para(70(a,1),6795(a,1,1))]. given #6016 (H,wt=18): 6896 K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u. [para(37(a,2),6817(a,1,2,1))]. given #6017 (H,wt=18): 6901 T(x,T(y,z) \ 1) != u | T(x,(y * z) \ z) = u. [para(37(a,2),6852(a,1,2,1))]. given #6018 (H,wt=18): 6941 T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. [para(5608(a,1),6838(a,1,1))]. given #6019 (H,wt=19): 6591 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(6586(a,1),495(a,1,2,1))]. given #6020 (H,wt=19): 6598 K((x \ y) \ 1,(y \ x) \ 1) = K(y \ x,x \ y). [hyper(255,a,2789,a(flip),b,6580,a)]. given #6021 (H,wt=19): 6612 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(6580(a,1),6185(a,1,1)),flip(a)]. given #6022 (H,wt=19): 6614 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6580(a,1),6358(a,1,1)),flip(a)]. given #6023 (H,wt=19): 6615 K(x,y) * K(y,z \ (x * z)) = K(x * z,K(x,y)). [para(6580(a,1),6133(a,1,2))]. given #6024 (H,wt=17): 6950 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(37(a,2),6615(a,1,2,2))]. given #6025 (H,wt=13): 6951 T(K(x,y),y * z) = K(x,T(y,z)). [hyper(22,a,6090,a,b,6950,a),flip(a)]. given #6026 (H,wt=13): 6952 T(K(x,y),z * y) = K(x,T(y,z)). [hyper(255,a,6298,a,b,6951,a(flip)),flip(a)]. given #6027 (H,wt=13): 6953 K(x,T(y,y \ z)) = T(K(x,y),z). [para(19(a,1),6951(a,1,2)),flip(a)]. given #6028 (H,wt=13): 6956 K(x,T(y,z / y)) = T(K(x,y),z). [para(21(a,1),6952(a,1,2)),flip(a)]. given #6029 (H,wt=17): 6954 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(6951(a,1),127(a,1,2))]. given #6030 (H,wt=19): 6627 (x * (y / x)) \ (K(x,x \ y) * T(y,z)) = K(y,z). [para(5271(a,1),6588(a,1,1))]. given #6031 (H,wt=19): 6652 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(5175(a,1),6618(a,1,1)),flip(a)]. given #6032 (H,wt=19): 6706 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [hyper(80,a,6641,a(flip),b,5187,a),flip(a)]. given #6033 (H,wt=19): 6745 (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). [para(6666(a,1),6629(a,1,1))]. given #6034 (H,wt=19): 6749 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(4423(a,1),6667(a,1,1))]. given #6035 (H,wt=19): 6754 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(255,a,6015,a,b,6707,a(flip)),flip(a)]. given #6036 (H,wt=19): 6756 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(255,a,6548,a(flip),b,6707,a(flip)),flip(a)]. given #6037 (H,wt=17): 6966 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(6934,a,6756,a),flip(a)]. given #6038 (H,wt=19): 6772 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(6707(a,1),5518(a,1,2))]. given #6039 (H,wt=19): 6773 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(6707(a,1),6406(a,1,2))]. given #6040 (H,wt=19): 6774 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(6707(a,1),6470(a,1,1)),flip(a)]. given #6041 (H,wt=19): 6775 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(6707(a,1),6521(a,1,2))]. given #6042 (H,wt=15): 6970 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(22,a,6773,a,b,6775,a)]. given #6043 (H,wt=17): 6972 1 / K((x * y) \ z,x) = K(x,(y * x) \ z). [para(6970(a,1),5394(a,1,2))]. given #6044 (H,wt=15): 6973 K(x,(y * x) \ z) = K(x,(x * y) \ z). [hyper(5395,a,6972,a),flip(a)]. given #6045 (H,wt=18): 6974 K(x,(y * x) \ z) != u | K(x,(x * y) \ z) = u. [para(6972(a,1),5395(a,1))]. given #6046 (H,wt=19): 6791 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(6179,a,6778,a)]. given #6047 (H,wt=16): 6975 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5726(a,1),6791(a,1,2))]. given #6048 (H,wt=19): 6806 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(6805(a,1),427(a,1,2,1))]. given #6049 (H,wt=10): 6977 R(x,K(y,z),T(z,u)) = x. [hyper(454,a,6806,a)]. given #6050 (H,wt=19): 6823 x \ (y \ ((z \ (y * x)) * z)) = K((y \ z) \ x,z). [para(881(a,1),6619(a,1,2))]. given #6051 (H,wt=19): 6826 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(1138(a,1),6634(a,1,1))]. given #6052 (H,wt=19): 6834 (x * K(y \ x,z)) * (y \ 1) = T(x * (y \ 1),z). [para(6643(a,1),973(a,1,1))]. given #6053 (H,wt=19): 6870 T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u). [para(6837(a,1),43(a,1,1)),flip(a)]. given #6054 (H,wt=19): 6906 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(255,a,2410,a(flip),b,6613,a),flip(a)]. given #6055 (H,wt=19): 6912 ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). [para(6056(a,1),6742(a,1,1))]. given #6056 (H,wt=19): 6914 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(255,a,5009,a(flip),b,6769,a(flip)),flip(a)]. given #6057 (H,wt=19): 6916 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6769(a,1),5026(a,1,1))]. given #6058 (H,wt=19): 6945 T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,y). [para(21(a,1),6943(a,1,2,2,1))]. given #6059 (H,wt=17): 6981 T(x / y,(x / y) \ T(x,y \ 1)) = y \ x. [hyper(255,a,129,a(flip),b,6945,a)]. given #6060 (H,wt=19): 6957 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(255,a,5900,a(flip),b,6954,a)]. given #6061 (H,wt=19): 6958 K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). [hyper(255,a,5053,a,b,6652,a),flip(a)]. given #6062 (H,wt=19): 6964 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(6284(a,2),6749(a,2,2))]. given #6063 (H,wt=19): 6965 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(5147(a,1),6754(a,1,2))]. given #6064 (H,wt=15): 6983 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(255,a,6823,a(flip),b,6965,a(flip))]. given #6065 (H,wt=19): 6967 (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. [hyper(6674,a,6772,a)]. given #6066 (H,wt=19): 6971 (x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z). [para(6775(a,1),6670(a,1,1))]. given #6067 (H,wt=19): 6978 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [hyper(5918,a,6834,a)]. given #6068 (H,wt=19): 6982 T(x,y \ 1) / (y \ x) = (x / y) \ T(x,y \ 1). [para(6981(a,1),199(a,1,2))]. given #6069 (H,wt=20): 6604 K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). [para(114(a,2),6580(a,1,2,1))]. given #6070 (H,wt=18): 6986 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [hyper(255,a,6612,a(flip),b,6604,a(flip)),flip(a)]. given #6071 (H,wt=15): 6987 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(6587,a,6986,a),flip(a)]. given #6072 (H,wt=15): 6992 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(19(a,1),6987(a,1,2,1)),flip(a)]. given #6073 (H,wt=17): 6991 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(114(a,2),6986(a,2,2))]. given #6074 (H,wt=16): 6998 K(x,L(y \ z,y,K(z,u))) = K(x,y \ z). [hyper(255,a,4398,a(flip),b,6991,a(flip))]. given #6075 (H,wt=17): 6994 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [para(6987(a,1),5252(a,2,2))]. given #6076 (H,wt=15): 7001 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(255,a,5252,a,b,6994,a)]. given #6077 (H,wt=15): 7002 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(19(a,1),7001(a,1,2,1)),flip(a)]. given #6078 (H,wt=17): 7000 K(x,(K(y,z) * u) \ T(y,z)) = K(x,u \ y). [para(5345(a,1),6998(a,1,2))]. given #6079 (H,wt=18): 6988 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(19(a,1),6986(a,2,2,1))]. given #6080 (H,wt=18): 6990 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(73(a,1),6986(a,1,1,2)),flip(a)]. given #6081 (H,wt=15): 7007 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(116(a,2),6990(a,1,2))]. given #6082 (H,wt=15): 7009 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(20(a,1),7007(a,1,2,2)),flip(a)]. given #6083 (H,wt=10): 7015 T(x,K(y,L(x,z,u))) = x. [para(7009(a,1),3223(a,1,2))]. given #6084 (H,wt=14): 7013 K(1 / x,L(x,y,z)) = K(1 / x,x). [hyper(255,a,4949,a(flip),b,7009,a(flip))]. given #6085 (H,wt=14): 7014 K(x,L(1 / y,y,z)) = K(x,1 / y). [hyper(255,a,4927,a(flip),b,7009,a(flip))]. given #6086 (H,wt=17): 7008 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [hyper(255,a,6483,a,b,7007,a)]. given #6087 (H,wt=18): 6999 L(K(x,y \ z),z,y \ 1) = K(x,(1 / y) * z). [para(3052(a,1),6991(a,2,2))]. given #6088 (H,wt=18): 7011 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(5004,a,7009,a),flip(a)]. given #6089 (H,wt=18): 7012 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(255,a,6581,a,b,7009,a(flip)),flip(a)]. given #6090 (H,wt=16): 7020 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(7009(a,1),7012(a,1,1))]. given #6091 (H,wt=18): 7017 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(7008(a,2),6486(a,1))]. given #6092 (H,wt=18): 7018 L(K(x,y \ z),z,y \ 1) = K(x,(y \ 1) * z). [hyper(255,a,5807,a(flip),b,6999,a)]. given #6093 (H,wt=19): 6993 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [para(19(a,1),6987(a,1,2,2))]. given #6094 (H,wt=19): 6995 K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). [para(5608(a,1),6987(a,1,2,1)),flip(a)]. given #6095 (H,wt=19): 7003 K(x,(y \ z) \ K(u,y)) = K(x,z \ (y * K(u,y))). [hyper(255,a,5913,a(flip),b,6988,a(flip)),flip(a)]. given #6096 (H,wt=20): 6605 K(x,L(y,z \ 1,z) \ z) = K(x,((z \ 1) * y) \ 1). [para(383(a,1),6580(a,1,2,1)),flip(a)]. given #6097 (H,wt=20): 6637 K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). [para(33(a,2),6595(a,1,2,2)),flip(a)]. given #6098 (H,wt=20): 6646 K(x,y) * z != u * T(x,y) | T(u * x,K(x,y)) = z. [para(6618(a,1),173(a,2))]. given #6099 (H,wt=20): 6648 (x / y) * T(y,z) != u * w | u \ (x * K(y,z)) = w. [para(6618(a,1),517(a,1))]. given #6100 (H,wt=20): 6697 R(x * K(y,z),K(z,y),u) \ (x * u) = K(z,y) * u. [para(6672(a,1),149(a,1,2,1))]. given #6101 (H,wt=19): 7024 (x * K(y,z)) \ (x * T(y,u)) = K(z,y) * T(y,u). [para(6977(a,1),6697(a,1,1))]. given #6102 (H,wt=19): 7025 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [para(7024(a,1),298(a,1,2))]. given #6103 (H,wt=18): 7027 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(5540(a,1),7025(a,1,2)),flip(a)]. given #6104 (H,wt=18): 7028 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(5541(a,1),7025(a,1,2)),flip(a)]. given #6105 (H,wt=20): 6701 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(6673(a,1),253(a,1,1))]. given #6106 (H,wt=20): 6761 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(114(a,2),6707(a,1,1,1))]. given #6107 (H,wt=18): 7030 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(255,a,6774,a(flip),b,6761,a(flip)),flip(a)]. given #6108 (H,wt=17): 7036 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(114(a,2),7030(a,2,1))]. given #6109 (H,wt=18): 7032 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(19(a,1),7030(a,2,1,1))]. given #6110 (H,wt=15): 7043 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(255,a,6572,a(flip),b,7032,a(flip)),flip(a)]. given #6111 (H,wt=18): 7034 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(73(a,1),7030(a,1,1,1)),flip(a)]. given #6112 (H,wt=15): 7044 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(116(a,2),7034(a,1,1))]. given #6113 (H,wt=15): 7046 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(20(a,1),7044(a,1,1,2)),flip(a)]. given #6114 (H,wt=14): 7047 K(L(x,y,z),y * x) = K(x,y * x). [hyper(255,a,6572,a(flip),b,7046,a(flip))]. given #6115 (H,wt=14): 7049 K(L(x,y,z),y * x) = K(x,x * y). [hyper(255,a,5842,a(flip),b,7047,a)]. given #6116 (H,wt=18): 7040 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(3052(a,1),7036(a,2,1))]. given #6117 (H,wt=17): 7050 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [hyper(5004,a,7040,a),flip(a)]. given #6118 (H,wt=18): 7048 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(7046(a,1),485(a,1,2))]. given #6119 (H,wt=18): 7051 L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z). [hyper(255,a,5756,a(flip),b,7040,a)]. given #6120 (H,wt=18): 7053 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(6677,a,7048,a)]. given #6121 (H,wt=20): 6796 ((x \ 1) \ K(y,x)) \ ((x \ 1) \ 1) != z | K(x,y) = z. [para(3409(a,1),6693(a,1,1))]. given #6122 (H,wt=20): 6848 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(6731(a,1),4481(a,1,2))]. given #6123 (H,wt=16): 7056 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(6848(a,1),636(a,1))]. given #6124 (H,wt=20): 6893 (x * ((y * z) / y)) * y != u | (x * z) * T(y,z) = u. [para(6574(a,1),6714(a,1,1))]. given #6125 (H,wt=20): 6895 x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. [para(144(a,1),6795(a,1,1))]. given #6126 (H,wt=20): 6899 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(5600(a,1),6817(a,1,2,1))]. given #6127 (H,wt=20): 6902 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(3341(a,1),6900(a,1))]. given #6128 (H,wt=20): 6938 x \ ((x \ 1) \ 1) != y | K((x \ 1) \ 1,x \ 1) = y. [para(1520(a,2),6937(a,1))]. given #6129 (H,wt=20): 6947 T(x * T(y,z),K(z,y)) != u | K(y,z) * (x * y) = u. [para(6618(a,1),6871(a,1,1))]. given #6130 (H,wt=20): 6948 K(x,y) * K(x \ 1,x) != z | (x \ 1) * T(x,y) = z. [para(5533(a,2),6892(a,1))]. given #6131 (H,wt=20): 6949 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(3052(a,1),6612(a,1,2,1)),flip(a)]. given #6132 (H,wt=20): 6955 K(x,y) * K(y,T(x,z)) != u | K(x * z,K(x,y)) = u. [para(6951(a,1),6116(a,1,2))]. given #6133 (H,wt=20): 6960 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(162(a,2),6706(a,1,1,1))]. given #6134 (H,wt=20): 6989 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(19(a,1),6986(a,2,2,2))]. given #6135 (H,wt=20): 7006 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(19(a,1),6990(a,1,2,2))]. given #6136 (H,wt=20): 7016 K(1 / L(x,y,z),L(x,u,w)) = L(K(1 / x,x),y,z). [para(7013(a,1),6478(a,1,1)),flip(a)]. given #6137 (H,wt=17): 7060 K(1 / L(x,y,z),L(x,u,w)) = K(1 / x,x). [hyper(255,a,4949,a(flip),b,7016,a)]. given #6138 (H,wt=19): 7062 L(x,y,z) * K(1 / x,x) = 1 / (1 / L(x,y,z)). [para(7060(a,1),1537(a,1,2))]. given #6139 (H,wt=20): 7021 K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. [para(70(a,1),7017(a,1,2,2))]. given #6140 (H,wt=20): 7029 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(7028(a,1),6663(a,1,1)),flip(a)]. given #6141 (H,wt=20): 7031 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(255,a,5889,a(flip),b,7030,a)]. given #6142 (H,wt=20): 7033 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(19(a,1),7030(a,2,1,2))]. given #6143 (H,wt=15): 7066 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(255,a,3764,a(flip),b,7033,a(flip))]. given #6144 (H,wt=17): 7070 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(255,a,5416,a,b,7066,a(flip)),flip(a)]. given #6145 (H,wt=20): 7038 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(6915(a,1),7030(a,1,1))]. given #6146 (H,wt=20): 7039 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(1977(a,2),7036(a,2,1))]. given #6147 (H,wt=20): 7045 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(255,a,33,a(flip),b,7044,a)]. given #6148 (H,wt=18): 7071 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(7045(a,2),431(a,1))]. given #6149 (H,wt=20): 7057 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [hyper(255,a,5816,a(flip),b,6949,a)]. given #6150 (H,wt=20): 7065 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(255,a,6745,a(flip),b,7029,a(flip)),flip(a)]. given #6151 (H,wt=20): 7072 K(L(x \ y,x,z),u) != w | L(K(x \ y,u),y,z) = w. [para(70(a,1),7071(a,1,1,2))]. given #6152 (H,wt=20): 7073 K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1). [para(73(a,1),7057(a,1,1,2)),flip(a)]. given #6153 (H,wt=21): 6606 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(643(a,1),6580(a,1,2,1)),flip(a)]. given #6154 (H,wt=21): 6671 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(255,a,6191,a(flip),b,6670,a)]. given #6155 (H,wt=17): 7076 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(6475(a,1),6671(a,1,1,2))]. given #6156 (H,wt=17): 7077 (x * L(K(y,z),u,w)) * L(K(z,y),u,w) = x. [para(7076(a,1),19(a,1,2))]. given #6157 (H,wt=17): 7078 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(7076(a,1),70(a,1,2))]. given #6158 (H,wt=18): 7081 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(112(a,1),7076(a,1,1))]. given #6159 (H,wt=18): 7083 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(209,a,7077,a),flip(a)]. given #6160 (H,wt=20): 7079 x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. [para(7076(a,1),94(a,1,2)),flip(b)]. given #6161 (H,wt=20): 7080 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(7076(a,1),303(a,1,2)),flip(b)]. given #6162 (H,wt=20): 7082 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(418(a,1),7076(a,1,1))]. given #6163 (H,wt=21): 6709 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(6641(a,1),5334(a,1,2))]. given #6164 (H,wt=21): 6711 T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). [para(6658(a,1),6034(a,1,1))]. given #6165 (H,wt=17): 7087 (x / y) * K(x,1 / y) = T(x,1 / y) / y. [para(73(a,1),6711(a,1,2)),flip(a)]. given #6166 (H,wt=21): 6735 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6733(a,1),429(a,1,2,1))]. given #6167 (H,wt=21): 6776 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(6707(a,1),6023(a,1,1,2)),flip(a)]. given #6168 (H,wt=19): 7088 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(80,a,6776,a(flip),b,6643,a(flip))]. given #6169 (H,wt=19): 7089 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(73(a,1),7088(a,1,2,1,2,1)),flip(a)]. given #6170 (H,wt=21): 6780 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(80,a,6718,a(flip),b,5905,a(flip)),flip(a)]. given #6171 (H,wt=21): 6807 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(6805(a,1),428(a,1,2,1))]. given #6172 (H,wt=11): 7090 R(x,K(y,z),R(z,u,w)) = x. [hyper(454,a,6807,a)]. given #6173 (H,wt=21): 6808 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(6805(a,1),429(a,1,2,1))]. given #6174 (H,wt=11): 7092 R(x,K(y,z),L(z,u,w)) = x. [hyper(454,a,6808,a)]. given #6175 (H,wt=21): 6827 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(832(a,1),6634(a,1,1))]. given #6176 (H,wt=21): 6847 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(80,a,112,a(flip),b,6731,a)]. given #6177 (H,wt=21): 6859 (1 / (x \ y)) * T(z,y \ x) = z * (1 \ (1 / (x \ y))). [para(6850(a,1),3387(a,1,2))]. given #6178 (H,wt=21): 6913 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(6766(a,1),5965(a,2,1))]. given #6179 (H,wt=15): 7098 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(5306(a,1),6913(a,1,1,1)),flip(a)]. given #6180 (H,wt=17): 7099 K(x \ K(x,y),z) * y = y * K(x \ 1,z). [para(7098(a,1),127(a,1,2)),flip(a)]. given #6181 (H,wt=21): 6925 (x / y) * (z * K(y,1 / y)) = (x / (1 / (1 / y))) * z. [para(6919(a,1),4956(a,1,1)),flip(a)]. given #6182 (H,wt=19): 7100 K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). [para(6925(a,1),5811(a,1,2))]. given #6183 (H,wt=21): 6996 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(255,a,6439,a(flip),b,6992,a(flip))]. given #6184 (H,wt=21): 7010 L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)). [para(6659(a,1),7007(a,1,2,2)),flip(a)]. given #6185 (H,wt=21): 7019 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). [para(437(a,1),7011(a,1,2)),flip(a)]. given #6186 (H,wt=21): 7022 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(116(a,1),7017(a,1,2))]. given #6187 (H,wt=21): 7026 (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). [para(3360(a,1),7025(a,1,2)),flip(a)]. given #6188 (H,wt=21): 7041 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(255,a,7020,a(flip),b,7032,a(flip)),flip(a)]. given #6189 (H,wt=21): 7052 K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). [para(70(a,1),7050(a,1,1,1)),flip(a)]. given #6190 (H,wt=21): 7054 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(7048(a,1),6700(a,1)),flip(a)]. given #6191 (H,wt=21): 7063 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(114(a,1),7021(a,1,2))]. given #6192 (H,wt=21): 7074 K((x * y) \ (x * z),u) != w | L(K(y \ z,u),z,x) = w. [para(114(a,1),7072(a,1,1))]. given #6193 (H,wt=21): 7085 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(7083(a,1),24(a,1)),flip(a)]. given #6194 (H,wt=21): 7086 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(7083(a,1),222(a,1,2)),flip(b)]. given #6195 (H,wt=21): 7091 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(255,a,6701,a(flip),b,7090,a(flip)),flip(a)]. given #6196 (H,wt=21): 7096 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(255,a,45,a,b,6847,a)]. given #6197 (H,wt=21): 7101 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1423(a,1),6996(a,1,2)),flip(a)]. given #6198 (H,wt=22): 6602 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(29(a,2),6580(a,1,2,1)),flip(a)]. given #6199 (H,wt=22): 6678 L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). [para(6670(a,1),114(a,1,1))]. given #6200 (H,wt=17): 7106 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(255,a,7081,a(flip),b,6678,a)]. given #6201 (H,wt=22): 6684 (x * (y * K(z,u \ 1))) \ (x * y) = K(L(u,y,x) \ 1,z). [para(6190(a,1),6670(a,1,1))]. given #6202 (H,wt=20): 7107 K(L(x,y,z) \ 1,u) != w | L(K(x \ 1,u),y,z) = w. [para(6684(a,1),7086(a,1))]. given #6203 (H,wt=22): 6725 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(6663(a,1),162(a,2,1))]. given #6204 (H,wt=22): 6768 T(x,(y \ z) \ x) * K(z \ y,x) = L(x,(y \ z) \ 1,x). [para(6707(a,1),5725(a,1,2))]. given #6205 (H,wt=22): 6820 x * K(y \ x,z) != u * w | (y * T(y \ x,z)) / w = u. [para(6619(a,1),297(a,1,2))]. given #6206 (H,wt=22): 6833 x \ (y * T(y \ x,z)) != u * w | u \ K(y \ x,z) = w. [para(6643(a,2),309(a,1,2))]. given #6207 (H,wt=22): 6931 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(881(a,1),6832(a,1,2))]. given #6208 (H,wt=18): 7110 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(6965(a,1),6931(a,1))]. given #6209 (H,wt=22): 6969 x * ((y \ (x \ z)) * y) != z * u | K((y * x) \ z,y) = u. [para(6773(a,1),24(a,1))]. given #6210 (H,wt=22): 6984 (x \ y) * K((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(6967(a,1),6675(a,1,1)),flip(b)]. given #6211 (H,wt=22): 7004 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(6988(a,1),45(a,2,1))]. given #6212 (H,wt=22): 7023 K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(373(a,2),6637(a,1,2))]. given #6213 (H,wt=22): 7035 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(127(a,1),7030(a,2,1,2))]. given #6214 (H,wt=22): 7068 L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). [para(6915(a,1),7033(a,1,1))]. given #6215 (H,wt=22): 7084 x / L(L(K(y,z),u,w),K(z,y),v5) = x * L(K(z,y),u,w). [para(6683(a,2),7078(a,1,2))]. given #6216 (H,wt=22): 7105 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(449(a,2),6602(a,1,2))]. given #6217 (H,wt=22): 7108 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(6725(a,2),5453(a,1))]. given #6218 (H,wt=22): 7109 T(x,y \ (z * x)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(7002(a,1),6768(a,1,1))]. given #6219 (H,wt=22): 7111 (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(6643(a,2),6984(a,1))]. given #6220 (H,wt=22): 7112 K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [hyper(255,a,3841,a,b,7023,a(flip)),flip(a)]. given #6221 (H,wt=23): 6797 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5984(a,1),6693(a,1,1))]. given #6222 (H,wt=23): 6798 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5986(a,1),6693(a,1,1))]. given #6223 (H,wt=23): 6828 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1638(a,1),6634(a,1,1))]. given #6224 (H,wt=23): 6829 T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). [para(2323(a,1),6634(a,1,1))]. given #6225 (H,wt=23): 6897 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(114(a,2),6817(a,1,2,1))]. given #6226 (H,wt=23): 6928 (x * K(y * z,u)) * (z * y) = x * (K(y * z,u) * (z * y)). [para(6927(a,1),112(a,1,2))]. given #6227 (H,wt=23): 6985 T(x,(y \ 1) \ 1) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(3371(a,1),6982(a,2,2))]. given #6228 (H,wt=19): 7117 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(3371(a,1),6985(a,1,1))]. given #6229 (H,wt=19): 7118 ((x / (y \ 1)) \ T(x,y)) \ T(x,y) = (y \ 1) \ x. [para(7117(a,1),73(a,1,1))]. given #6230 (H,wt=23): 7005 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(6988(a,1),112(a,1,2))]. given #6231 (H,wt=23): 7042 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(255,a,6988,a(flip),b,7032,a(flip)),flip(a)]. given #6232 (H,wt=21): 7120 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(59(a,1),7042(a,2,1))]. given #6233 (H,wt=23): 7064 K(x,(y * z) \ u) != w | L(K(x,z \ (y \ u)),y \ u,y) = w. [para(241(a,1),7021(a,1,2))]. given #6234 (H,wt=23): 7067 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(7033(a,1),418(a,1,2)),flip(a)]. given #6235 (H,wt=23): 7097 (1 / ((x * y) \ x)) * T(z,y) = z * (1 \ (1 / ((x * y) \ x))). [para(18(a,1),6859(a,1,2,2))]. given #6236 (H,wt=21): 7123 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(59(a,1),7097(a,2,2))]. given #6237 (H,wt=23): 7102 (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. [para(7026(a,1),3989(a,1,1)),flip(a)]. given #6238 (H,wt=23): 7103 ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). [hyper(80,a,7052,a(flip),b,2516,a)]. given #6239 (H,wt=23): 7115 K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). [para(5547(a,1),6829(a,1,1,1)),flip(a)]. given #6240 (H,wt=23): 7116 (x * K(y * z,u)) * (z * y) = x * (K(z,y) * T(y * z,u)). [para(6958(a,1),6928(a,2,2))]. given #6241 (H,wt=19): 7125 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [hyper(255,a,5608,a(flip),b,7116,a)]. given #6242 (H,wt=19): 7126 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(23,a,6197,a,b,7125,a),flip(a)]. given #6243 (H,wt=19): 7127 (x * y) * (K(y,x) * K(y * x,z)) = T(y * x,z). [para(7126(a,1),19(a,1,2))]. given #6244 (H,wt=22): 7128 (x * y) \ T(y * x,z) != u | K(y,x) * K(y * x,z) = u. [para(7127(a,1),222(a,1,2)),flip(b)]. given #6245 (H,wt=23): 7124 T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). [para(7115(a,2),19(a,1,2))]. given #6246 (H,wt=24): 5619 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5600(a,1),311(a,1,1,3))]. given #6247 (H,wt=24): 5629 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). [para(5608(a,1),114(a,2,1))]. given #6248 (H,wt=24): 5630 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(5608(a,1),122(a,1,2))]. given #6249 (H,wt=24): 5636 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(5284(a,1),35(a,2,2)),flip(a)]. given #6250 (H,wt=22): 7129 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(6653(a,1),5636(a,1,1))]. given #6251 (H,wt=15): 7130 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(466,a,7129,a),flip(a)]. given #6252 (H,wt=24): 5663 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(5472(a,1),33(a,2,1)),flip(a)]. given #6253 (H,wt=24): 5702 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5687(a,1),112(a,1,1))]. given #6254 (H,wt=24): 5716 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. [para(4049(a,2),5612(a,1,2)),flip(b)]. given #6255 (H,wt=24): 5719 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(187(a,1),5643(a,1,2))]. given #6256 (H,wt=24): 5868 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5683(a,1),122(a,2,1))]. given #6257 (H,wt=22): 7132 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6382(a,1),5868(a,1,1))]. given #6258 (H,wt=24): 5937 K(x,y) * (((z * x) / z) * u) != w | T(x,y) * (K(z,x) * u) = w. [para(5858(a,2),5634(a,1,2))]. given #6259 (H,wt=24): 5985 (x * L(y,z,u)) / x != w * v5 | L(y * K(x,y),z,u) / v5 = w. [para(5300(a,1),307(a,1,1))]. given #6260 (H,wt=24): 5999 K((x / y) \ 1,z) * y != u * w | u \ (x * T(x \ y,z)) = w. [para(5512(a,1),299(a,1,1))]. given #6261 (H,wt=24): 6144 L(K(x,y) * K(z,y),K(y,z),K(y,x)) = (K(y,x) * K(y,z)) \ 1. [para(6107(a,1),5396(a,1,1))]. given #6262 (H,wt=24): 6164 T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. [para(2110(a,1),6157(a,1,1))]. given #6263 (H,wt=24): 6188 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (1 / x) * (L(x,y,z) \ x). [hyper(80,a,6185,a(flip),b,3824,a)]. given #6264 (H,wt=17): 7133 (1 / x) * (L(x,y,z) \ x) = 1 / L(x,y,z). [hyper(255,a,6192,a(flip),b,6188,a(flip))]. given #6265 (H,wt=20): 7135 1 / L(x,y,z) != (1 / x) * u | L(x,y,z) \ x = u. [para(7133(a,1),24(a,1))]. given #6266 (H,wt=21): 7136 (1 / x) * ((L(x,y,z) \ 1) * x) = T(1 / L(x,y,z),x). [para(7133(a,1),1432(a,1,1)),flip(a)]. given #6267 (H,wt=24): 6319 K(x,y / (x * y)) != z | K((y / (x * y)) \ 1,y / (x * y)) = z. [para(20(a,1),6010(a,1,1))]. given #6268 (H,wt=24): 6400 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(6391(a,1),47(a,2,1))]. given #6269 (H,wt=24): 6407 x \ (((y \ (x / z)) * y) * z) != u | K((x \ (y * z)) \ 1,y) = u. [para(6021(a,2),222(a,1,2)),flip(b)]. given #6270 (H,wt=24): 6441 K(x \ R(x,y,z),x) != (x \ 1) * u | T(x,R(x \ 1,w,v5)) = u. [para(6415(a,2),24(a,1))]. given #6271 (H,wt=24): 6454 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(6450(a,1),6370(a,1,1,2))]. given #6272 (H,wt=24): 6473 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1723(a,1),6470(a,1,1)),flip(a)]. given #6273 (H,wt=21): 7139 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(255,a,325,a(flip),b,6473,a)]. given #6274 (H,wt=15): 7141 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(1150(a,1),7139(a,1,2))]. given #6275 (H,wt=20): 7142 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(42,a,7141,a)]. given #6276 (H,wt=20): 7143 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(40,a,7142,a)]. given #6277 (H,wt=22): 7144 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(1153(a,2),7143(a,1,1))]. given #6278 (H,wt=23): 7145 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(7144(a,1),4423(a,1,2)),flip(a)]. given #6279 (H,wt=19): 7146 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(255,a,3739,a(flip),b,7145,a)]. given #6280 (H,wt=17): 7147 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(1153(a,1),7146(a,1,1))]. given #6281 (H,wt=24): 6500 (x * y) * K(y,y \ 1) != z * u | z \ (x * T(y,y \ 1)) = u. [para(2878(a,1),6151(a,1,1))]. given #6282 (H,wt=24): 6508 (x / y) * K(y,y \ 1) != z * u | z \ (x / (1 / (1 / y))) = u. [para(2927(a,1),6499(a,1,1))]. given #6283 (H,wt=24): 6554 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(19(a,1),6553(a,1,1,1)),flip(a)]. given #6284 (H,wt=20): 7148 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4564(a,1),6554(a,1,1)),flip(a)]. given #6285 (H,wt=18): 7149 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(255,a,4141,a(flip),b,7148,a)]. given #6286 (H,wt=16): 7150 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(23,a,5444,a,b,7149,a)]. given #6287 (H,wt=16): 7151 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(255,a,5736,a,b,7150,a)]. given #6288 (H,wt=17): 7152 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4624(a,1),7151(a,1,2))]. given #6289 (H,wt=17): 7153 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(7152(a,1),73(a,1,1))]. given #6290 (H,wt=17): 7154 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5736(a,1),7153(a,1,1))]. given #6291 (H,wt=17): 7155 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(5217(a,2),7154(a,1,1,2))]. given #6292 (H,wt=24): 6649 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(6618(a,1),487(a,1,2))]. given #6293 (H,wt=24): 6695 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(6672(a,1),112(a,1,1))]. given #6294 (H,wt=24): 6911 ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). [hyper(81,a,6730,a(flip),b,122,a)]. given #6295 (H,wt=22): 7156 ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). [para(6663(a,1),6911(a,1,2))]. given #6296 (H,wt=15): 7157 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [hyper(466,a,7156,a),flip(a)]. given #6297 (H,wt=17): 7158 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [para(5268(a,1),7157(a,1,2)),flip(a)]. given #6298 (H,wt=24): 6933 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(832(a,1),6832(a,1,2))]. given #6299 (H,wt=24): 6940 (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. [para(832(a,1),6836(a,1,1))]. given #6300 (H,wt=24): 7037 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(5608(a,1),7030(a,2,1,1))]. given #6301 (H,wt=24): 7059 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(5600(a,1),6989(a,1,1,2))]. given #6302 (H,wt=24): 7069 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6983(a,1),7033(a,1,1))]. given #6303 (H,wt=19): 7163 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(255,a,7033,a(flip),b,7069,a(flip))]. given #6304 (H,wt=15): 7164 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(19(a,1),7163(a,2,1,1))]. given #6305 (H,wt=15): 7165 K(((x \ y) * x) \ z,y) = K(y \ z,y). [para(70(a,1),7164(a,1,1,1,2))]. given #6306 (H,wt=21): 7166 T(x,((y \ x) * y) \ z) = (u * K(x \ z,x)) \ (u * x). [para(7165(a,1),6784(a,1,1,2)),flip(a)]. given #6307 (H,wt=15): 7167 T(x,((y \ x) * y) \ z) = T(x,x \ z). [hyper(255,a,5204,a,b,7166,a)]. given #6308 (H,wt=15): 7168 T(x,x \ T(y,y \ x)) = T(x,x \ y). [para(6064(a,1),7167(a,1,2))]. given #6309 (H,wt=19): 7169 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(7168(a,1),199(a,1,2))]. given #6310 (H,wt=19): 7170 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [hyper(255,a,601,a(flip),b,7169,a(flip)),flip(a)]. given #6311 (H,wt=19): 7171 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [hyper(255,a,5639,a(flip),b,7170,a(flip))]. given #6312 (H,wt=24): 7131 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5608(a,1),5663(a,1,2,2)),flip(a)]. given #6313 (H,wt=24): 7138 K((x \ (y / (z \ 1))) \ 1,y) != u | K((x \ (y * z)) \ 1,y) = u. [para(6405(a,2),6407(a,1))]. given #6314 (H,wt=25): 5121 (x * y) * ((z \ L(u,y,x)) * z) != w | x * (y * ((z \ u) * z)) = w. [para(5117(a,1),224(a,1,2))]. given #6315 (H,wt=25): 5123 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [para(5111(a,2),4879(a,1,2))]. given #6316 (H,wt=25): 5143 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [hyper(80,a,5137,a(flip),b,1078,a)]. given #6317 (H,wt=25): 5355 (x * y) \ (K(x,y) * ((y * x) * z)) != u | L(z,y * x,K(x,y)) = u. [para(5175(a,1),431(a,1,1))]. given #6318 (H,wt=25): 5356 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5175(a,1),424(a,1,1))]. given #6319 (H,wt=25): 5505 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(1061(a,1),5403(a,1,2))]. given #6320 (H,wt=25): 5532 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u. [para(5206(a,1),431(a,1,2,2))]. given #6321 (H,wt=25): 5648 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(729(a,1),5362(a,2,2))]. given #6322 (H,wt=20): 7173 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(6282(a,1),5648(a,1,1))]. given #6323 (H,wt=19): 7174 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(255,a,4829,a(flip),b,7173,a(flip))]. given #6324 (H,wt=17): 7175 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1424(a,1),7174(a,1,2,1))]. given #6325 (H,wt=17): 7176 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [para(7175(a,1),73(a,1,1)),flip(a)]. given #6326 (H,wt=17): 7178 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(87,a,7176,a)]. given #6327 (H,wt=21): 7177 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(313,a,7176,a)]. given #6328 (H,wt=25): 5776 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [para(5238(a,1),2420(a,2,2))]. given #6329 (H,wt=19): 7180 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5774(a,1),5776(a,1,1))]. given #6330 (H,wt=23): 7183 (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). [para(3702(a,1),7180(a,1,1,2)),flip(a)]. given #6331 (H,wt=19): 7184 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3702(a,1),7183(a,1,2)),flip(a)]. given #6332 (H,wt=20): 7185 (x * K(y,x)) * (x \ 1) != z * u | K(y,x) / u = z. [para(7184(a,2),370(a,1))]. given #6333 (H,wt=25): 5941 L(T(x,y),z,u) \ (L(x,z,u) * w) != v5 | K(y,L(x,z,u)) * w = v5. [para(45(a,2),5689(a,1,1))]. given #6334 (H,wt=25): 6016 T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). [para(2323(a,1),5513(a,1,2))]. given #6335 (H,wt=21): 7186 K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). [hyper(255,a,6050,a(flip),b,6016,a(flip))]. given #6336 (H,wt=19): 7187 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(255,a,6707,a(flip),b,7186,a)]. given #6337 (H,wt=17): 7188 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(6934,a,7187,a)]. given #6338 (H,wt=19): 7189 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(7188(a,1),5394(a,1,2)),flip(a)]. given #6339 (H,wt=17): 7191 K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). [hyper(255,a,5394,a(flip),b,7189,a)]. given #6340 (H,wt=22): 7190 x / K(y \ x,T(x,z)) != u | T(x,T(y,z) \ T(x,z)) = u. [para(7188(a,1),5201(a,1,2))]. given #6341 (H,wt=25): 6233 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1332(a,1),5770(a,1,1))]. given #6342 (H,wt=21): 7192 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(19(a,1),6233(a,1,1,2,2,1))]. given #6343 (H,wt=19): 7193 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(255,a,5786,a(flip),b,7192,a)]. given #6344 (H,wt=25): 6384 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(149(a,1),6377(a,1,2,2)),flip(a)]. given #6345 (H,wt=25): 6442 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). [para(925(a,1),6423(a,1,2)),flip(a)]. given #6346 (H,wt=25): 6458 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(255,a,2189,a,b,5367,a(flip)),flip(a)]. given #6347 (H,wt=25): 6459 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(5592(a,1),5613(a,1,2))]. given #6348 (H,wt=25): 6498 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(6497(a,1),49(a,1,1)),flip(a)]. given #6349 (H,wt=25): 6514 (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). [para(1891(a,1),6513(a,2,2))]. given #6350 (H,wt=21): 7198 x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). [para(5184(a,2),6514(a,1,2)),flip(a)]. given #6351 (H,wt=19): 7199 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(255,a,5286,a(flip),b,7198,a)]. given #6352 (H,wt=17): 7200 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(3481(a,1),7199(a,1,2))]. given #6353 (H,wt=17): 7201 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [para(7200(a,1),73(a,1,1))]. given #6354 (H,wt=25): 6523 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(529(a,1),6212(a,1,1,1)),flip(a)]. given #6355 (H,wt=20): 7202 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(4395(a,1),6523(a,1,1)),flip(a)]. given #6356 (H,wt=18): 7203 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(6146,a,7202,a)]. given #6357 (H,wt=15): 7206 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(120(a,2),7203(a,1,1))]. given #6358 (H,wt=12): 7207 K(R(x,x \ 1,y),z) = K(x,z). [hyper(255,a,332,a(flip),b,7206,a)]. given #6359 (H,wt=15): 7208 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(18(a,1),7206(a,1,1,2)),flip(a)]. given #6360 (H,wt=17): 7212 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [hyper(255,a,6327,a(flip),b,7207,a)]. given #6361 (H,wt=18): 7205 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(73(a,1),7203(a,1,1,2,1)),flip(a)]. given #6362 (H,wt=18): 7214 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(21(a,1),7205(a,2,1,2))]. given #6363 (H,wt=15): 7215 K((x * y) / z,x) = K(x / (z / y),x). [hyper(255,a,5911,a(flip),b,7214,a(flip))]. given #6364 (H,wt=15): 7216 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(255,a,6128,a(flip),b,7215,a)]. given #6365 (H,wt=18): 7217 K((x * y) / z,x) != u | K((z / y) \ x,x) = u. [para(7215(a,2),6939(a,1))]. given #6366 (H,wt=19): 7211 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(7206(a,1),6670(a,1,1,2)),flip(a)]. given #6367 (H,wt=17): 7218 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(255,a,6377,a(flip),b,7211,a(flip))]. given #6368 (H,wt=17): 7219 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [para(7218(a,1),19(a,1,2))]. given #6369 (H,wt=20): 7209 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(7206(a,2),122(a,1,1))]. given #6370 (H,wt=21): 7213 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(7208(a,1),51(a,1,1)),flip(a)]. given #6371 (H,wt=23): 7210 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5555(a,1),7206(a,1,1,2))]. given #6372 (H,wt=24): 7220 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) != v5 * v6 | x / v6 = v5. [para(7218(a,1),297(a,1,2))]. given #6373 (H,wt=25): 6524 T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). [para(790(a,1),6234(a,1,1,1))]. given #6374 (H,wt=21): 7221 K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. [para(5561(a,1),6524(a,1,1,1)),flip(a)]. given #6375 (H,wt=21): 7222 K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). [hyper(255,a,5007,a(flip),b,7221,a)]. given #6376 (H,wt=19): 7223 K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). [hyper(255,a,5786,a(flip),b,7222,a(flip)),flip(a)]. given #6377 (H,wt=19): 7224 K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). [para(4752(a,1),7223(a,1,2))]. given #6378 (H,wt=19): 7225 K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). [hyper(255,a,7089,a,b,7224,a),flip(a)]. given #6379 (H,wt=25): 6528 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(80,a,6526,a,b,127,a)]. given #6380 (H,wt=20): 7226 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(686,a,6528,a)]. given #6381 (H,wt=24): 7227 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(7226(a,1),6477(a,1,1,1)),flip(a)]. given #6382 (H,wt=20): 7228 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(255,a,5967,a(flip),b,7227,a)]. given #6383 (H,wt=25): 6555 (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(6519(a,1),3988(a,1,1)),flip(a)]. given #6384 (H,wt=25): 6638 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(6595(a,1),6277(a,2,2))]. given #6385 (H,wt=25): 6770 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [para(6707(a,1),6231(a,2,2))]. given #6386 (H,wt=25): 6890 ((x * y) * z) * K(y * z,u) != w | R(x,y,z) * T(y * z,u) = w. [para(122(a,1),6621(a,1,1))]. given #6387 (H,wt=25): 6979 T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). [para(129(a,2),6912(a,1,1))]. given #6388 (H,wt=25): 6997 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(6293(a,2),6992(a,1,2,1))]. given #6389 (H,wt=25): 7058 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1723(a,1),6960(a,2,2))]. given #6390 (H,wt=25): 7093 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (y \ z)) \ u). [para(881(a,1),6827(a,1,1,2))]. given #6391 (H,wt=25): 7095 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1743(a,1),6827(a,1,1,2))]. given #6392 (H,wt=25): 7113 (x / (K(y,z) * L(K(z,y),u,w))) * K(y,z) = x * L(K(y,z),u,w). [hyper(255,a,316,a(flip),b,7084,a(flip)),flip(a)]. given #6393 (H,wt=25): 7114 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(73(a,1),6828(a,1,1,1,2,1))]. given #6394 (H,wt=23): 7230 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(6629(a,1),7114(a,1,1,1)),flip(a)]. given #6395 (H,wt=23): 7231 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(7230(a,2),19(a,1,2))]. given #6396 (H,wt=19): 7234 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(6722(a,1),7231(a,1,2,2))]. given #6397 (H,wt=19): 7236 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(6672(a,1),7234(a,1,1,1))]. given #6398 (H,wt=23): 7233 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(7231(a,1),6670(a,1,1)),flip(a)]. given #6399 (H,wt=23): 7238 (x * y) \ ((x * K(z \ x,u)) * y) = K((z * y) \ (x * y),u). [para(70(a,1),7233(a,1,1,1,1)),flip(a)]. given #6400 (H,wt=23): 7239 (x * y) * K((z * y) \ (x * y),u) = (x * K(z \ x,u)) * y. [para(7238(a,1),19(a,1,2))]. given #6401 (H,wt=15): 7240 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(22,a,6573,a(flip),b,7239,a)]. given #6402 (H,wt=17): 7241 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [para(132(a,1),7240(a,1,1))]. given #6403 (H,wt=20): 7243 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(7241(a,1),6507(a,1,1,1))]. given #6404 (H,wt=23): 7242 (x * (y * K(z \ u,y))) \ (x * y) = K(y,(z * y) \ (u * y)). [para(7240(a,1),6685(a,1,1,2,2))]. given #6405 (H,wt=15): 7244 K(x,(y * x) \ (z * x)) = K(x,y \ z). [hyper(6799,a,7242,a),flip(a)]. given #6406 (H,wt=15): 7245 K(x,(x * y) \ (z * x)) = K(x,y \ z). [hyper(6974,a,7244,a)]. given #6407 (H,wt=15): 7246 K(x,(y / x) \ z) = K(x,y \ (z * x)). [para(21(a,1),7244(a,1,2,1)),flip(a)]. given #6408 (H,wt=15): 7247 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [para(19(a,1),7245(a,1,2,1)),flip(a)]. given #6409 (H,wt=15): 7249 K(x,(y / x) \ z) = K(x,(x \ y) \ z). [hyper(255,a,7246,a,b,7247,a),flip(a)]. given #6410 (H,wt=15): 7250 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(18(a,1),7247(a,1,2)),flip(a)]. given #6411 (H,wt=24): 7248 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [para(7246(a,1),6989(a,1,1))]. given #6412 (H,wt=24): 7251 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(7247(a,1),6989(a,1,1))]. given #6413 (H,wt=19): 7254 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(255,a,7248,a(flip),b,7251,a(flip)),flip(a)]. given #6414 (H,wt=25): 7137 (x \ 1) \ T(1 / L(x,y,z),x) = (L(x,y,z) \ 1) * T(x,x \ 1). [hyper(80,a,7136,a(flip),b,3087,a)]. given #6415 (H,wt=23): 7257 (L(x,y,z) \ 1) * T(x,x \ 1) = (x \ 1) \ (L(x,y,z) \ 1). [para(6328(a,1),7137(a,1,2)),flip(a)]. given #6416 (H,wt=17): 7258 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(255,a,5089,a(flip),b,7257,a(flip))]. given #6417 (H,wt=17): 7260 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [para(7258(a,1),19(a,1,2))]. given #6418 (H,wt=21): 7261 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(255,a,7147,a,b,7260,a),flip(a)]. given #6419 (H,wt=15): 7262 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2564,a,7261,a)]. given #6420 (H,wt=25): 7172 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5683(a,1),5356(a,1,2))]. given #6421 (H,wt=23): 7263 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(5272(a,1),7172(a,1,2,2)),flip(a)]. given #6422 (H,wt=18): 7264 L(L(x,y,z),z * y,K(y,z)) = L(x,T(y,z),z). [hyper(255,a,178,a(flip),b,7263,a)]. given #6423 (H,wt=21): 7265 L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. [para(7263(a,2),750(a,1))]. given #6424 (H,wt=25): 7196 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(6458(a,1),19(a,1,2))]. given #6425 (H,wt=25): 7197 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(255,a,49,a(flip),b,6498,a)]. given #6426 (H,wt=25): 7229 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(5147(a,1),7095(a,1,1,2))]. given #6427 (H,wt=19): 7266 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(255,a,7093,a(flip),b,7229,a(flip))]. given #6428 (H,wt=15): 7267 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(19(a,1),7266(a,2,2,1))]. given #6429 (H,wt=19): 7268 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(70(a,1),7266(a,1,2,1,2)),flip(a)]. given #6430 (H,wt=19): 7269 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(314(a,1),7268(a,1,2,1)),flip(a)]. given #6431 (H,wt=17): 7270 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(6667(a,1),7269(a,1,2,1))]. given #6432 (H,wt=15): 7271 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(5203(a,1),7270(a,1,2,1)),flip(a)]. given #6433 (H,wt=25): 7255 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(7254(a,1),5602(a,1,2,2))]. given #6434 (H,wt=22): 7272 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(7255(a,1),5694(a,1))]. given #6435 (H,wt=26): 5102 ((L(x,y,z) \ 1) * x) * (1 / x) != u * (x \ 1) | L(x,y,z) \ x = u. [para(5090(a,2),25(a,1))]. given #6436 (H,wt=26): 5231 L(T(x,y),T(z,x),z / T(z,x)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(5182(a,2),4652(a,2,1))]. given #6437 (H,wt=24): 7273 L(T(x,y),T(z,x),K(x,z)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(5182(a,2),5231(a,1,1,3))]. given #6438 (H,wt=17): 7274 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [para(5910(a,1),7273(a,1,1)),flip(a)]. given #6439 (H,wt=17): 7275 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(5538(a,2),7274(a,1,2))]. given #6440 (H,wt=26): 5439 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1835(a,1),5217(a,1,1))]. given #6441 (H,wt=20): 7278 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(5439(a,1),703(a,2,1)),flip(a)]. given #6442 (H,wt=22): 7279 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5828,a,7278,a)]. given #6443 (H,wt=26): 5441 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1951(a,1),5217(a,1,1))]. given #6444 (H,wt=26): 5529 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(5187(a,1),2453(a,2,1,2))]. given #6445 (H,wt=26): 5543 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(5220(a,1),29(a,2,2,1)),flip(a)]. given #6446 (H,wt=26): 5644 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(5359(a,2),1302(a,2,2))]. given #6447 (H,wt=26): 5914 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(5906(a,1),33(a,2,1)),flip(a)]. given #6448 (H,wt=26): 5939 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(2346(a,1),5678(a,1,2))]. given #6449 (H,wt=26): 6035 ((x / y) / x) * z != (x / y) * K(x,1 / y) | T(x,(x / y) / x) = z. [para(5693(a,2),173(a,2))]. given #6450 (H,wt=26): 6306 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5600(a,1),5615(a,1,1))]. given #6451 (H,wt=26): 6320 T(x,y) \ T(z * T(z \ x,x),y) != u | K((x \ z) \ 1,T(x,y)) = u. [para(5515(a,2),6046(a,1,2,1))]. given #6452 (H,wt=26): 6339 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(6337(a,1),2306(a,1,1))]. given #6453 (H,wt=24): 7284 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. [hyper(255,a,127,a(flip),b,6339,a)]. given #6454 (H,wt=26): 6340 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(6337(a,1),2862(a,1,1))]. given #6455 (H,wt=26): 6350 ((x * y) * K(y \ 1,z)) / (K(y \ 1,z) * y) = R(x,K(y \ 1,z),y). [hyper(81,a,6346,a(flip),b,122,a)]. given #6456 (H,wt=26): 6352 (x * K(y \ 1,z)) * y != u * w | ((x * y) * K(y \ 1,z)) / w = u. [para(6349(a,1),297(a,1,2))]. given #6457 (H,wt=26): 6401 R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1). [para(21(a,1),6399(a,2,2,1,2))]. given #6458 (H,wt=23): 7289 K((x / y) \ 1,z \ (y / x)) = K(y / x,((z * x) / y) \ 1). [hyper(255,a,6001,a(flip),b,6401,a(flip)),flip(a)]. given #6459 (H,wt=21): 7290 K((x / y) \ 1,z \ (y / x)) = K(y / x,y / (z * x)). [hyper(255,a,5786,a(flip),b,7289,a)]. given #6460 (H,wt=22): 7292 K(x / y,x / (z * y)) != u | K(x / y,z \ (x / y)) = u. [para(7290(a,1),6146(a,1))]. given #6461 (H,wt=26): 6503 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(73(a,1),6243(a,1,2,2)),flip(a)]. given #6462 (H,wt=24): 7293 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(4177(a,1),6503(a,2,2))]. given #6463 (H,wt=19): 7294 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(255,a,4183,a(flip),b,7293,a(flip))]. given #6464 (H,wt=23): 7295 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3371(a,1),7294(a,1,2,2)),flip(a)]. given #6465 (H,wt=19): 7296 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(3371(a,1),7295(a,1,1,1)),flip(a)]. given #6466 (H,wt=19): 7297 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [para(7296(a,1),73(a,1,1))]. given #6467 (H,wt=25): 7298 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(129(a,1),7297(a,1,1,1,1))]. given #6468 (H,wt=23): 7299 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(129(a,1),7298(a,2,2))]. given #6469 (H,wt=26): 6558 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6544(a,1),24(a,1))]. given #6470 (H,wt=26): 6559 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6545(a,2),24(a,1))]. given #6471 (H,wt=26): 6562 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6561(a,2),25(a,1))]. given #6472 (H,wt=26): 6611 K(x,y \ z) * K(x * ((z \ y) \ 1),x) = x \ R(x,(z \ y) \ 1,x). [para(6580(a,1),5726(a,1,1))]. given #6473 (H,wt=24): 7300 K(x,y \ z) * K((z \ y) \ x,x) = x \ R(x,(z \ y) \ 1,x). [para(5734(a,1),6611(a,1,2))]. given #6474 (H,wt=24): 7301 K(x,y \ z) * K(y \ (z * x),x) = x \ R(x,(z \ y) \ 1,x). [para(7043(a,1),7300(a,1,2))]. given #6475 (H,wt=26): 6692 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y * K(z,u),K(u,z)). [para(6672(a,1),29(a,2,1,2)),flip(a)]. given #6476 (H,wt=26): 6724 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6663(a,1),29(a,2,1,2)),flip(a)]. given #6477 (H,wt=24): 7302 (x * (y * T(z,y))) \ ((x * y) * T(z,y)) = a(x,y * K(z,y),z). [para(6730(a,1),6724(a,1,2))]. given #6478 (H,wt=18): 7303 a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. [para(7302(a,1),636(a,1))]. given #6479 (H,wt=26): 6729 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6663(a,1),5946(a,1,2,1))]. given #6480 (H,wt=26): 6752 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(6688(a,1),123(a,2,2))]. given #6481 (H,wt=26): 6821 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(6619(a,1),439(a,1,1))]. given #6482 (H,wt=23): 7304 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6821(a,2),6933(a,1))]. given #6483 (H,wt=26): 7119 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(7005(a,1),24(a,1)),flip(a)]. given #6484 (H,wt=26): 7122 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(7067(a,2),6693(a,1,1))]. given #6485 (H,wt=23): 7305 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(7082(a,1),7122(a,1))]. given #6486 (H,wt=23): 7306 L(K(x,y),z \ u,z) != w | K(x,(z * ((z \ u) / y)) \ u) = w. [para(73(a,1),7305(a,1,1,2))]. given #6487 (H,wt=26): 7195 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(6386(a,1),6384(a,1,1))]. given #6488 (H,wt=22): 7310 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(255,a,7208,a(flip),b,7195,a(flip))]. given #6489 (H,wt=26): 7235 R(x * K(y,z),K(y,u),K(z,y)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(80,a,7234,a(flip),b,122,a)]. given #6490 (H,wt=26): 7237 ((x * K(y,z)) * K(z,u)) / (K(z,u) * K(y,z)) = R(x,K(z,u),K(y,z)). [hyper(81,a,7236,a(flip),b,122,a)]. given #6491 (H,wt=17): 7312 R(x,K(y,z),K(u,y)) = R(x,K(u,y),K(y,z)). [hyper(2087,a,7237,a),flip(a)]. given #6492 (H,wt=26): 7282 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(775(a,2),5644(a,1,2,2,1))]. given #6493 (H,wt=24): 7313 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(2216(a,1),7282(a,1,2))]. given #6494 (H,wt=26): 7283 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(5906(a,1),5914(a,1,2))]. given #6495 (H,wt=26): 7287 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(3837(a,2),6340(a,2,2))]. given #6496 (H,wt=19): 7314 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(255,a,7284,a(flip),b,7287,a(flip))]. given #6497 (H,wt=19): 7315 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [para(7314(a,1),73(a,1,1))]. given #6498 (H,wt=26): 7288 ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). [para(1299(a,1),6350(a,1,2))]. given #6499 (H,wt=20): 7316 R(x,K(y \ 1,z),y) != u | R(x,y,K(y \ 1,z)) = u. [para(7288(a,1),466(a,1))]. given #6500 (H,wt=26): 7311 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(7310(a,1),5605(a,1,2,1)),flip(a)]. given #6501 (H,wt=25): 7317 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(7311(a,2),5613(a,1))]. given #6502 (H,wt=27): 4913 T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). [para(4910(a,1),3863(a,1,2,1)),flip(a)]. given #6503 (H,wt=25): 7318 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). [para(3989(a,1),4913(a,1,2,1)),flip(a)]. given #6504 (H,wt=21): 7319 T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). [hyper(255,a,5103,a(flip),b,7318,a(flip))]. given #6505 (H,wt=27): 5145 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(241(a,1),5118(a,1,2,1,2))]. given #6506 (H,wt=27): 5294 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(5208(a,2),2699(a,1,2,1))]. given #6507 (H,wt=27): 5411 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(100(a,1),5211(a,1,2,1))]. given #6508 (H,wt=27): 5908 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(4506(a,1),5865(a,1,2)),flip(a)]. given #6509 (H,wt=23): 7322 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(5380(a,1),5908(a,1,1))]. given #6510 (H,wt=27): 5995 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(5432(a,2),4526(a,1,1))]. given #6511 (H,wt=27): 6134 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(6117(a,1),4307(a,2,3))]. given #6512 (H,wt=27): 6235 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). [para(5360(a,2),5815(a,2,2,2)),flip(a)]. given #6513 (H,wt=27): 6325 T(x,y) \ (1 / (1 / T((z * x) / z,y))) = (T(T(x,y),z) \ 1) * T(x,y). [para(404(a,1),6324(a,1,2,2,2))]. given #6514 (H,wt=27): 6344 T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(6110(a,1),5404(a,2,1,1))]. given #6515 (H,wt=27): 6549 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(313,a,6422,a)]. given #6516 (H,wt=23): 7326 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(73(a,1),6549(a,1,1,1,1,2)),flip(a)]. given #6517 (H,wt=21): 7327 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6707(a,1),7326(a,1,2))]. given #6518 (H,wt=19): 7328 K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). [hyper(22,a,3974,a,b,7327,a),flip(a)]. given #6519 (H,wt=21): 7329 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5763(a,1),7327(a,1,2))]. given #6520 (H,wt=23): 7330 K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). [para(70(a,1),7328(a,2,1,2))]. given #6521 (H,wt=25): 7331 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). [hyper(255,a,3879,a,b,7330,a(flip)),flip(a)]. given #6522 (H,wt=23): 7332 (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). [para(3187(a,1),7331(a,1,1,2))]. given #6523 (H,wt=17): 7333 K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). [hyper(4043,a,7332,a),flip(a)]. given #6524 (H,wt=25): 7334 K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). [para(128(a,2),7333(a,1,2,2))]. given #6525 (H,wt=21): 7335 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). [hyper(255,a,5891,a(flip),b,7334,a(flip))]. given #6526 (H,wt=19): 7336 K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). [hyper(255,a,7019,a(flip),b,7335,a(flip))]. given #6527 (H,wt=19): 7337 K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). [hyper(255,a,7328,a,b,7336,a(flip)),flip(a)]. given #6528 (H,wt=27): 6550 ((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)). [hyper(255,a,6215,a,b,6424,a(flip)),flip(a)]. given #6529 (H,wt=23): 7338 (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). [para(935(a,1),6550(a,1,1))]. given #6530 (H,wt=27): 6640 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(255,a,6272,a,b,6601,a(flip)),flip(a)]. given #6531 (H,wt=21): 7341 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(255,a,6601,a(flip),b,6640,a(flip)),flip(a)]. given #6532 (H,wt=27): 6650 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(6618(a,1),457(a,1,1))]. given #6533 (H,wt=25): 7343 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6618(a,1),6650(a,1,2)),flip(a)]. given #6534 (H,wt=18): 7344 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(255,a,35,a,b,7343,a)]. given #6535 (H,wt=18): 7346 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(255,a,51,a,b,7344,a(flip)),flip(a)]. given #6536 (H,wt=21): 7345 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(7343(a,2),466(a,1))]. given #6537 (H,wt=27): 6922 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(6666(a,1),6882(a,1,1)),flip(a)]. given #6538 (H,wt=27): 6980 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5763(a,1),6914(a,2,2))]. given #6539 (H,wt=27): 7075 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2545(a,2),6606(a,1,2))]. given #6540 (H,wt=27): 7094 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(832(a,1),6827(a,1,1,2))]. given #6541 (H,wt=25): 7348 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(127(a,1),7094(a,1,1,2,2))]. given #6542 (H,wt=25): 7349 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(5145(a,2),7348(a,1,1))]. given #6543 (H,wt=27): 7104 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(5216(a,1),7096(a,2,1))]. given #6544 (H,wt=23): 7350 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(5311(a,1),7104(a,1,1,2))]. given #6545 (H,wt=21): 7351 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(5284(a,1),7350(a,1,2,2))]. given #6546 (H,wt=27): 7259 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(3196,a,7258,a)]. given #6547 (H,wt=27): 7285 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) != v5 | (L(x,u,w) \ 1) * x = v5. [para(6339(a,2),225(a,1))]. given #6548 (H,wt=27): 7307 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(5600(a,1),7305(a,1,1,2))]. given #6549 (H,wt=27): 7308 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (y / x)) \ u) = w. [para(7246(a,1),7305(a,1,1))]. given #6550 (H,wt=22): 7353 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(7251(a,1),7308(a,1))]. given #6551 (H,wt=27): 7309 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. [para(7247(a,1),7305(a,1,1))]. given #6552 (H,wt=22): 7354 K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. [para(7248(a,1),7309(a,1))]. given #6553 (H,wt=27): 7323 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3461(a,1),6134(a,1,3))]. given #6554 (H,wt=27): 7325 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(6107(a,1),6344(a,1,2))]. given #6555 (H,wt=27): 7339 (1 / x) * ((x \ y) \ T((x \ y) * x,x)) = (x \ T(y,x)) * ((x \ y) \ 1). [para(1677(a,1),7338(a,1,1)),flip(a)]. given #6556 (H,wt=21): 7355 (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). [para(5060(a,1),7339(a,1,2)),flip(a)]. given #6557 (H,wt=15): 7356 K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). [hyper(255,a,5442,a,b,7355,a),flip(a)]. given #6558 (H,wt=17): 7357 (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). [para(18(a,1),7356(a,2,2,1)),flip(a)]. given #6559 (H,wt=23): 7358 (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). [para(5600(a,1),7357(a,1,2))]. given #6560 (H,wt=23): 7359 K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). [para(7224(a,2),7358(a,1,1))]. given #6561 (H,wt=21): 7360 K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). [para(17(a,1),7359(a,1,2))]. given #6562 (H,wt=27): 7347 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(6041(a,1),6980(a,2,2))]. given #6563 (H,wt=25): 7361 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(255,a,7329,a(flip),b,7347,a)]. given #6564 (H,wt=28): 5068 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(162(a,2),5055(a,2,2,2,1))]. given #6565 (H,wt=28): 5070 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(163(a,2),5057(a,1,1,1,2))]. given #6566 (H,wt=28): 5350 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(5263(a,2),635(a,1,1))]. given #6567 (H,wt=28): 5459 ((x * y) * z) * a(z * K(x * y,z),x,y) = ((z * K(x * y,z)) * x) * y. [para(5265(a,1),100(a,1,1))]. given #6568 (H,wt=25): 7364 ((x * y) * z) * a(z * K(x * y,z),x,y) = (x * y) * R(z,x,y). [hyper(255,a,5303,a(flip),b,5459,a)]. given #6569 (H,wt=28): 5482 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) != z | x \ T(x,y / (x * y)) = z. [para(3018(a,2),5218(a,1))]. given #6570 (H,wt=28): 5832 L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. [para(4585(a,2),5829(a,1))]. given #6571 (H,wt=28): 5845 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(100(a,1),5842(a,2,2))]. given #6572 (H,wt=28): 6089 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [para(6086(a,1),193(a,1,2)),flip(a)]. given #6573 (H,wt=26): 7366 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(6086(a,1),6089(a,1,3)),flip(a)]. given #6574 (H,wt=28): 6173 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) != u | K(T(x,z),1 / T(x,y)) = u. [para(1111(a,1),5837(a,1,2,1))]. given #6575 (H,wt=28): 6174 ((x * y) / x) * ((((x * y) / x) \ y) / y) != z | K(y,1 / ((x * y) / x)) = z. [para(1146(a,1),5837(a,1,2,1))]. given #6576 (H,wt=28): 6201 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(5438(a,1),6157(a,1,1))]. given #6577 (H,wt=28): 6330 (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(6202(a,1),634(a,1,2))]. given #6578 (H,wt=21): 7368 ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). [hyper(5484,a,6330,a),flip(a)]. given #6579 (H,wt=19): 7369 (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). [para(1952(a,1),7368(a,1,1))]. given #6580 (H,wt=17): 7370 (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. [hyper(255,a,6449,a(flip),b,7369,a)]. given #6581 (H,wt=17): 7371 (R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1. [hyper(255,a,6452,a(flip),b,7370,a(flip)),flip(a)]. given #6582 (H,wt=21): 7372 T(R(x,y,z) \ x,x \ 1) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(172,a,7371,a,b,19,a)]. given #6583 (H,wt=17): 7374 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(255,a,6136,a(flip),b,7372,a)]. given #6584 (H,wt=12): 7375 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(41,a,7374,a)]. given #6585 (H,wt=14): 7376 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(7375(a,1),5309(a,1,1,1))]. given #6586 (H,wt=24): 7373 R(x,y,z) \ 1 != (x \ 1) * u | T(R(x,y,z) \ x,x \ 1) = u. [para(7371(a,1),173(a,2)),flip(a)]. given #6587 (H,wt=28): 6397 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(482(a,1),6364(a,1,2,1)),flip(a)]. given #6588 (H,wt=26): 7378 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(255,a,5786,a(flip),b,6397,a)]. given #6589 (H,wt=24): 7379 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(255,a,6363,a(flip),b,7378,a(flip)),flip(a)]. given #6590 (H,wt=24): 7380 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(5583(a,1),7379(a,1,1))]. given #6591 (H,wt=22): 7381 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(255,a,7208,a(flip),b,7380,a(flip))]. given #6592 (H,wt=24): 7382 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(19(a,1),7381(a,1,2,1,1)),flip(a)]. given #6593 (H,wt=22): 7384 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(255,a,7206,a(flip),b,7382,a(flip))]. given #6594 (H,wt=28): 6504 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) != z | K(x \ y,y \ x) = z. [para(3002(a,2),6329(a,1))]. given #6595 (H,wt=20): 7385 K((x / y) \ 1,x / y) != z | K(x \ y,y \ x) = z. [para(3181(a,1),6504(a,1))]. given #6596 (H,wt=28): 6511 T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. [para(5407(a,1),5940(a,1))]. given #6597 (H,wt=28): 6743 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(6666(a,1),4593(a,1,1,2))]. given #6598 (H,wt=28): 6918 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(255,a,3337,a,b,6816,a)]. given #6599 (H,wt=28): 6929 (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. [para(6740(a,1),224(a,1,2))]. given #6600 (H,wt=28): 6946 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) != z | ((y \ T(y,x)) \ 1) \ 1 = z. [para(1204(a,2),6861(a,1,1))]. given #6601 (H,wt=28): 7160 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. [para(881(a,1),6940(a,1,1,2))]. given #6602 (H,wt=28): 7252 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [hyper(255,a,3312,a,b,7248,a)]. given #6603 (H,wt=28): 7256 L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(7254(a,1),6989(a,1,1))]. given #6604 (H,wt=28): 7280 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(5441(a,1),918(a,1,1,1))]. given #6605 (H,wt=24): 7388 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(18(a,1),7280(a,2,1,1))]. given #6606 (H,wt=28): 7362 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(255,a,5055,a(flip),b,5068,a(flip))]. given #6607 (H,wt=28): 7363 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(4058(a,2),5070(a,1,1))]. given #6608 (H,wt=25): 7390 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(230,a,7363,a),flip(a)]. given #6609 (H,wt=23): 7391 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(7070(a,1),7390(a,2,1))]. given #6610 (H,wt=23): 7392 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(7391(a,1),6237(a,1,2)),flip(a)]. given #6611 (H,wt=19): 7393 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(255,a,5605,a(flip),b,7392,a)]. given #6612 (H,wt=15): 7396 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(255,a,5585,a(flip),b,7393,a(flip)),flip(a)]. given #6613 (H,wt=17): 7395 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(255,a,6429,a(flip),b,7393,a(flip)),flip(a)]. given #6614 (H,wt=17): 7397 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(255,a,6402,a,b,7396,a(flip)),flip(a)]. given #6615 (H,wt=28): 7365 ((x * y) * z) \ ((x * y) * R(z,x,y)) != u | a(z * K(x * y,z),x,y) = u. [para(7364(a,1),222(a,1,2)),flip(b)]. given #6616 (H,wt=28): 7387 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(6741(a,1),6743(a,2,2))]. given #6617 (H,wt=26): 7398 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [hyper(255,a,4672,a(flip),b,7387,a)]. given #6618 (H,wt=28): 7389 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(5116(a,2),7362(a,1,2))]. given #6619 (H,wt=25): 7399 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(224,a,7389,a),flip(a)]. given #6620 (H,wt=23): 7400 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(7397(a,1),7399(a,2,2))]. given #6621 (H,wt=26): 7401 (x * y) * (z * (((x * y) \ x) / z)) != x * u | K(z,y \ (z \ 1)) = u. [para(7400(a,2),24(a,1))]. given #6622 (H,wt=29): 4977 (x * y) \ (x * (K(z \ 1,z) * (y * u))) != w | L(K(z \ 1,z) * u,y,x) = w. [para(4915(a,2),431(a,1,2,2))]. given #6623 (H,wt=29): 4980 (x * y) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u * K(z \ 1,z),y,x) = w. [para(4934(a,2),431(a,1,2,2))]. given #6624 (H,wt=29): 5052 ((x * T((y \ z) * y,x)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(5030(a,2),4329(a,1,1,1,2))]. given #6625 (H,wt=23): 7402 (x \ (y * (T(z,x) \ z))) * x = ((x \ y) * x) * (T(z,x) \ z). [para(167(a,1),5052(a,1,1)),flip(a)]. given #6626 (H,wt=21): 7404 ((x \ y) * x) * (T(z,x) \ z) = (x \ (y * K(x,z))) * x. [para(5177(a,2),7402(a,1,1,2,2)),flip(a)]. given #6627 (H,wt=19): 7405 (x \ (y * K(x,z))) * x = ((x \ y) * x) * K(x,z). [para(5177(a,2),7404(a,1,2)),flip(a)]. given #6628 (H,wt=15): 7407 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(23,a,6719,a,b,7405,a)]. given #6629 (H,wt=15): 7408 x * ((x \ y) * K(x,z)) = y * K(x,z). [para(7407(a,1),19(a,1,2))]. given #6630 (H,wt=15): 7410 (x * y) * K(x,z) = x * (y * K(x,z)). [para(18(a,1),7408(a,1,2,1)),flip(a)]. given #6631 (H,wt=8): 7412 R(x,y,K(x,z)) = x. [hyper(454,a,7410,a)]. given #6632 (H,wt=10): 7413 L(K(x,y),z,x) = K(x,y). [hyper(422,a,7410,a)]. given #6633 (H,wt=8): 7426 a(x,y,K(x,z)) = 1. [hyper(39,a,7413,a)]. given #6634 (H,wt=10): 7427 K(L(x,y,x),z) = K(x,z). [hyper(255,a,7046,a(flip),b,7413,a(flip)),flip(a)]. given #6635 (H,wt=10): 7428 K(x,L(y,z,x)) = K(x,y). [hyper(255,a,7009,a(flip),b,7413,a(flip)),flip(a)]. given #6636 (H,wt=10): 7432 K(R(x,y,x),z) = K(x,z). [para(4816(a,1),7427(a,1,1)),flip(a)]. given #6637 (H,wt=10): 7442 R(K(x,y),z,x) = K(x,y). [hyper(255,a,7206,a(flip),b,7432,a(flip)),flip(a)]. given #6638 (H,wt=10): 7451 K(x,R(y,z,x)) = K(x,y). [hyper(255,a,6382,a(flip),b,7442,a(flip)),flip(a)]. given #6639 (H,wt=11): 7423 R(x,y,T(x,z)) = R(x,y,x). [para(7412(a,1),7346(a,1,1)),flip(a)]. given #6640 (H,wt=12): 7417 R(T(x,y),z,K(x,u)) = T(x,y). [para(7412(a,1),47(a,2,1))]. given #6641 (H,wt=12): 7421 R(K(x,y),z,K(y,u)) = K(x,y). [para(7412(a,1),6377(a,1,2)),flip(a)]. given #6642 (H,wt=12): 7433 T(x,L(y,z,y)) = x / K(y,x). [para(7427(a,1),5197(a,2,2))]. given #6643 (H,wt=10): 7466 T(x,L(y,z,y)) = T(x,y). [hyper(255,a,5197,a,b,7433,a)]. given #6644 (H,wt=10): 7474 T(x,R(y,z,y)) = T(x,y). [para(4816(a,1),7466(a,1,2)),flip(a)]. given #6645 (H,wt=12): 7445 x * K(R(x,y,x),z) = T(x,z). [para(7432(a,2),5252(a,2,2)),flip(a)]. given #6646 (H,wt=12): 7446 K(x,R(y,z,y)) = 1 / K(y,x). [para(7432(a,1),5394(a,1,2)),flip(a)]. given #6647 (H,wt=10): 7482 K(x,R(y,z,y)) = K(x,y). [hyper(255,a,5394,a(flip),b,7446,a)]. given #6648 (H,wt=10): 7484 R(K(x,y),z,y) = K(x,y). [hyper(255,a,6396,a(flip),b,7482,a(flip)),flip(a)]. given #6649 (H,wt=12): 7456 T(x,R(y,z,x)) = x * K(x,y). [para(7451(a,1),5252(a,2,2))]. given #6650 (H,wt=10): 7489 T(x,R(y,z,x)) = T(x,y). [hyper(255,a,5252,a,b,7456,a)]. given #6651 (H,wt=12): 7467 T(x,L(y,z,y)) = x * K(x,y). [hyper(255,a,6673,a(flip),b,7433,a)]. given #6652 (H,wt=10): 7502 K(x,L(y,z,y)) = K(x,y). [hyper(5323,a,7467,a)]. given #6653 (H,wt=10): 7503 L(K(x,y),z,y) = K(x,y). [hyper(7017,a,7502,a)]. given #6654 (H,wt=10): 7506 K(L(x,y,z),z) = K(x,z). [hyper(255,a,7046,a(flip),b,7503,a(flip)),flip(a)]. given #6655 (H,wt=12): 7476 T(x / y,R(y,z,y)) = y \ x. [hyper(255,a,129,a(flip),b,7474,a)]. given #6656 (H,wt=12): 7514 T(x * K(y,x),L(y,z,x)) = x. [para(7506(a,1),5216(a,1,1,2))]. given #6657 (H,wt=10): 7517 T(x,L(y,z,x)) = T(x,y). [para(7514(a,1),5295(a,1,1)),flip(a)]. given #6658 (H,wt=13): 7431 K(T(x / (x / y),x),z) = K(y,z). [para(4593(a,2),7427(a,1,1))]. given #6659 (H,wt=13): 7436 K(x,(x \ 1) \ y) = K(x,x * y). [para(437(a,1),7428(a,1,2)),flip(a)]. given #6660 (H,wt=13): 7443 K(T(x,x \ y),z) = K(T(x,y),z). [para(4642(a,1),7432(a,1,1))]. given #6661 (H,wt=11): 7522 K(T(x,y),z) = T(K(x,z),y). [hyper(255,a,6790,a(flip),b,7443,a(flip))]. given #6662 (H,wt=11): 7524 K(T(x,K(y,z)),y) = K(x,y). [hyper(255,a,2072,a(flip),b,7522,a)]. given #6663 (H,wt=13): 7473 T(x,T(y / z,y)) = T(x,z \ y). [para(4595(a,1),7466(a,1,2))]. given #6664 (H,wt=13): 7479 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4642(a,1),7474(a,1,2))]. given #6665 (H,wt=13): 7483 K(x,R(y,z,y)) != u | K(x,y) = u. [para(7446(a,2),5395(a,1))]. given #6666 (H,wt=13): 7485 K(x,T(y,y * z)) = K(x,T(y,z)). [para(4578(a,1),7482(a,1,2)),flip(a)]. given #6667 (H,wt=13): 7486 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4642(a,1),7482(a,1,2))]. given #6668 (H,wt=11): 7539 K(x,T(y,z)) = T(K(x,y),z). [hyper(255,a,6953,a(flip),b,7486,a(flip))]. given #6669 (H,wt=11): 7542 K(T(x,y),z) = K(x,T(z,y)). [hyper(255,a,7522,a,b,7539,a),flip(a)]. given #6670 (H,wt=9): 7593 T(x,K(y,T(x,z))) = x. [para(7542(a,1),3140(a,1,2))]. given #6671 (H,wt=10): 7603 a(x,y,K(z,T(y,u))) = 1. [para(7542(a,1),6579(a,1,3))]. given #6672 (H,wt=11): 7553 K(x,T(y,K(x,z))) = K(x,y). [hyper(255,a,6106,a(flip),b,7539,a)]. given #6673 (H,wt=11): 7555 K(x,T(y,K(z,x))) = K(x,y). [hyper(255,a,2074,a(flip),b,7539,a)]. given #6674 (H,wt=12): 7554 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(255,a,3341,a(flip),b,7539,a)]. given #6675 (H,wt=12): 7589 K(T(x,L(y,z,u)),y) = K(x,y). [para(279(a,1),7542(a,2,2))]. given #6676 (H,wt=13): 7491 T(x,R(y,z,x)) != u | T(x,y) = u. [para(7456(a,2),5255(a,1))]. given #6677 (H,wt=13): 7504 K(x,T(y / z,y)) = K(x,z \ y). [para(4595(a,1),7502(a,1,2))]. given #6678 (H,wt=13): 7520 K((x \ y) \ y,z) = K(T(x,y),z). [para(145(a,1),7431(a,1,1,1)),flip(a)]. given #6679 (H,wt=13): 7523 K(T(x,y),y / z) = K(x,z \ y). [hyper(255,a,6599,a(flip),b,7522,a)]. given #6680 (H,wt=13): 7525 x * K(T(y,x),z) = K(y,z) * x. [para(7522(a,2),127(a,1,2))]. given #6681 (H,wt=13): 7527 (K(x,y) * z) * K(T(y,z),x) = z. [para(7522(a,2),6750(a,1,2))]. given #6682 (H,wt=13): 7530 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(70(a,1),7473(a,1,2,1)),flip(a)]. given #6683 (H,wt=13): 7537 K(x,T(y,z * y)) = K(x,T(y,z)). [para(4563(a,2),7485(a,1,2))]. given #6684 (H,wt=13): 7540 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(128(a,1),7486(a,1,2))]. given #6685 (H,wt=13): 7544 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(255,a,6757,a,b,7539,a),flip(a)]. given #6686 (H,wt=13): 7545 (K(x,y) * z) \ z = K(y,T(x,z)). [hyper(255,a,6682,a,b,7539,a),flip(a)]. given #6687 (H,wt=13): 7552 K(x / y,T(z,x)) = K(y \ x,z). [hyper(255,a,6755,a(flip),b,7539,a)]. given #6688 (H,wt=12): 7635 L(x,y / z,K(z \ y,u)) = x. [para(7552(a,1),4398(a,1,3))]. given #6689 (H,wt=12): 7643 L(x,(y * z) / y,K(z,u)) = x. [para(18(a,1),7635(a,1,3,1))]. given #6690 (H,wt=13): 7556 T(K(x * y,x),y) = K(x * y,x). [hyper(255,a,5587,a(flip),b,7539,a(flip))]. given #6691 (H,wt=13): 7559 x * K(y,T(z,x)) = K(y,z) * x. [para(7539(a,2),127(a,1,2))]. given #6692 (H,wt=13): 7563 T(x,K(y,T(z,x))) = T(x,K(y,z)). [para(7539(a,2),4446(a,1,2))]. given #6693 (H,wt=13): 7564 x * T(K(x,y),z) = T(x,T(y,z)). [para(7539(a,1),5252(a,2,2)),flip(a)]. given #6694 (H,wt=13): 7572 (K(x,y) * z) * K(y,T(x,z)) = z. [para(7539(a,2),6750(a,1,2))]. given #6695 (H,wt=13): 7575 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(5624,a,7542,a)]. given #6696 (H,wt=13): 7580 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(255,a,6790,a(flip),b,7542,a(flip))]. given #6697 (H,wt=13): 7584 K(x / y,T(z,y)) = K(y \ x,z). [para(129(a,1),7542(a,1,1)),flip(a)]. given #6698 (H,wt=13): 7585 K(T(x,y),z / y) = K(x,y \ z). [para(129(a,1),7542(a,2,2))]. given #6699 (H,wt=13): 7586 K((x * y) / x,T(z,x)) = K(y,z). [para(166(a,1),7542(a,1,1)),flip(a)]. given #6700 (H,wt=10): 7669 a(x,T(y,z),K(u,y)) = 1. [para(7586(a,1),6579(a,1,3))]. given #6701 (H,wt=12): 7667 L(x,K(y,z),(u * y) / u) = x. [para(7586(a,1),4723(a,1,2))]. given #6702 (H,wt=12): 7668 L(x,T(T(y,z),u),K(w,y)) = x. [para(7586(a,1),6395(a,1,3))]. given #6703 (H,wt=12): 7671 L(K(x,y),T(y,z),u) = K(x,y). [hyper(38,a,7669,a)]. given #6704 (H,wt=13): 7590 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(402(a,1),7542(a,1,1)),flip(a)]. given #6705 (H,wt=13): 7594 x / K(y,T(x,z)) = T(x,T(y,z)). [para(7542(a,1),5197(a,2,2)),flip(a)]. given #6706 (H,wt=13): 7598 K(x,T(y,K(z,z \ x))) = K(x,y). [para(5661(a,1),7542(a,1,1)),flip(a)]. given #6707 (H,wt=13): 7614 T(x / y,K(z,y \ x)) = x / y. [para(129(a,1),7593(a,1,2,2))]. given #6708 (H,wt=13): 7625 x * K(T(y,x),z) = K(z,y) \ x. [hyper(255,a,5600,a,b,7525,a)]. given #6709 (H,wt=13): 7650 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(5622,a,7559,a(flip))]. given #6710 (H,wt=13): 7659 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(255,a,7539,a,b,7580,a)]. given #6711 (H,wt=13): 7660 T(K(x,y),x * z) = K(x,T(y,z)). [para(18(a,1),7580(a,1,2,2)),flip(a)]. given #6712 (H,wt=13): 7670 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7586(a,1),7092(a,1,2))]. given #6713 (H,wt=13): 7683 K(x,T(y,x * z)) = K(x,T(y,z)). [para(18(a,1),7659(a,1,2,2)),flip(a)]. given #6714 (H,wt=14): 7418 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(7412(a,1),51(a,1,1)),flip(a)]. given #6715 (H,wt=14): 7439 K(x,K(y,L(z,u,x))) = K(x,K(y,z)). [para(7009(a,1),7428(a,1,2))]. given #6716 (H,wt=14): 7457 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(6382(a,1),7451(a,1,2))]. given #6717 (H,wt=14): 7532 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(1236(a,1),7483(a,1,2))]. given #6718 (H,wt=14): 7592 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(773(a,1),7542(a,1,1)),flip(a)]. given #6719 (H,wt=14): 7611 K(x,T(y,K(z,L(x,u,w)))) = K(x,y). [para(7015(a,1),7542(a,1,1)),flip(a)]. given #6720 (H,wt=14): 7615 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(38,a,7603,a)]. given #6721 (H,wt=14): 7658 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7575(a,1),5384(a,1))]. given #6722 (H,wt=14): 7692 R(x,y,x) != z | R(x,y,T(x,u)) = z. [para(7418(a,1),7345(a,1))]. given #6723 (H,wt=14): 7698 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(7539(a,1),7658(a,1))]. given #6724 (H,wt=15): 7411 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(7119,a,7410,a),flip(a)]. given #6725 (H,wt=15): 7424 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(7305,a,7413,a)]. given #6726 (H,wt=15): 7434 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(7427(a,1),5336(a,1,1))]. given #6727 (H,wt=15): 7444 R(x,y,x) * K(x,z) = T(R(x,y,x),z). [para(7432(a,1),5252(a,2,2)),flip(a)]. given #6728 (H,wt=15): 7447 x * K(R(x,y,x),z) != u | T(x,z) = u. [para(7432(a,2),5255(a,1,2))]. given #6729 (H,wt=15): 7450 (K(x,y) * z) * x = K(x,y) * (z * x). [para(7432(a,1),7209(a,1,1)),flip(a)]. given #6730 (H,wt=8): 7711 L(x,y,K(x,z)) = x. [hyper(422,a,7450,a)]. given #6731 (H,wt=11): 7721 L(x,y,R(K(x,z),u,w)) = x. [para(6361(a,1),7711(a,1,3))]. given #6732 (H,wt=11): 7725 L(x,y,K(R(x,z,u),w)) = x. [para(7208(a,1),7721(a,1,3))]. given #6733 (H,wt=12): 7722 L(K(x,y),z,K(y,u)) = K(x,y). [para(7711(a,1),7007(a,1,2)),flip(a)]. given #6734 (H,wt=12): 7723 L(K(x,y),z,K(x,u)) = K(x,y). [para(7711(a,1),7044(a,1,1)),flip(a)]. given #6735 (H,wt=12): 7728 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(255,a,7009,a(flip),b,7723,a(flip)),flip(a)]. given #6736 (H,wt=15): 7452 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(255,a,6374,a(flip),b,7442,a(flip)),flip(a)]. given #6737 (H,wt=15): 7464 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(7417(a,1),7346(a,1,1)),flip(a)]. given #6738 (H,wt=14): 7736 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(7464(a,1),7482(a,1,2))]. given #6739 (H,wt=14): 7737 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(47(a,1),7736(a,1,2))]. given #6740 (H,wt=15): 7468 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(6157,a,7466,a),flip(a)]. given #6741 (H,wt=15): 7471 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(7466(a,1),127(a,1,2))]. given #6742 (H,wt=15): 7475 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(6157,a,7474,a),flip(a)]. given #6743 (H,wt=15): 7477 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(7474(a,1),127(a,1,2))]. given #6744 (H,wt=15): 7480 T(x,(y * z) / y) = T(x,y / (y / z)). [para(4824(a,1),7474(a,1,2))]. given #6745 (H,wt=15): 7488 (K(x,y) * z) * y = K(x,y) * (z * y). [para(7484(a,1),122(a,1,1)),flip(a)]. given #6746 (H,wt=8): 7746 L(x,y,K(z,x)) = x. [hyper(422,a,7488,a)]. given #6747 (H,wt=12): 7751 L(K(x,y),z,K(u,y)) = K(x,y). [para(7746(a,1),7007(a,1,2)),flip(a)]. given #6748 (H,wt=12): 7752 L(K(x,y),z,K(u,x)) = K(x,y). [para(7746(a,1),7044(a,1,1)),flip(a)]. given #6749 (H,wt=12): 7753 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(255,a,7046,a(flip),b,7751,a(flip)),flip(a)]. given #6750 (H,wt=12): 7755 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(255,a,7009,a(flip),b,7752,a(flip)),flip(a)]. given #6751 (H,wt=14): 7750 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(7746(a,1),50(a,1,1)),flip(a)]. given #6752 (H,wt=15): 7496 T(x,(y * x) / z) = T(x,y / (z / x)). [para(474(a,1),7489(a,1,2))]. given #6753 (H,wt=15): 7505 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(7304,a,7503,a)]. given #6754 (H,wt=15): 7507 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(255,a,7032,a(flip),b,7503,a(flip))]. given #6755 (H,wt=15): 7509 (x * y) * K(z,x) = x * (y * K(z,x)). [para(7503(a,1),112(a,1,2))]. given #6756 (H,wt=8): 7764 R(x,y,K(z,x)) = x. [hyper(454,a,7509,a)]. given #6757 (H,wt=10): 7772 R(x,y,K(z,T(x,u))) = x. [para(7542(a,1),7764(a,1,3))]. given #6758 (H,wt=14): 7768 R(R(x,y,z),u,K(w,x)) = R(x,y,z). [para(7764(a,1),51(a,1,1)),flip(a)]. given #6759 (H,wt=15): 7518 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(241(a,1),7517(a,1,2))]. given #6760 (H,wt=15): 7519 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(439(a,1),7517(a,1,2)),flip(a)]. given #6761 (H,wt=15): 7526 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(7522(a,1),5263(a,2,1)),flip(a)]. given #6762 (H,wt=15): 7536 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(1990(a,1),7485(a,1,2)),flip(a)]. given #6763 (H,wt=15): 7548 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(255,a,6096,a,b,7539,a),flip(a)]. given #6764 (H,wt=15): 7549 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(255,a,6094,a,b,7539,a),flip(a)]. given #6765 (H,wt=15): 7550 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). [hyper(255,a,5971,a,b,7539,a),flip(a)]. given #6766 (H,wt=15): 7551 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(255,a,5965,a,b,7539,a),flip(a)]. given #6767 (H,wt=15): 7557 T(T(K(x,y),z),u) = T(K(x,T(y,u)),z). [para(7539(a,2),43(a,1,1)),flip(a)]. given #6768 (H,wt=15): 7558 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(43(a,1),7539(a,1,2))]. given #6769 (H,wt=15): 7567 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7539(a,2),6090(a,1,2))]. given #6770 (H,wt=13): 7782 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(6955,a,7567,a)]. given #6771 (H,wt=13): 7783 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(255,a,6301,a,b,7782,a(flip)),flip(a)]. given #6772 (H,wt=13): 7784 K(x \ y,K(x,z)) = K(y,K(x,z)). [para(19(a,1),7782(a,1,1)),flip(a)]. given #6773 (H,wt=15): 7578 (x * K(y,T(z,u))) \ x = K(z,T(y,u)). [hyper(255,a,6670,a,b,7542,a(flip)),flip(a)]. given #6774 (H,wt=15): 7581 T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). [hyper(80,a,7542,a(flip),b,5184,a(flip)),flip(a)]. given #6775 (H,wt=15): 7582 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(43(a,1),7542(a,2,2))]. given #6776 (H,wt=15): 7587 K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). [para(138(a,1),7542(a,1,1)),flip(a)]. given #6777 (H,wt=15): 7588 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(138(a,1),7542(a,2,2))]. given #6778 (H,wt=15): 7595 T(x,y) * K(x,T(z,y)) = T(T(x,y),z). [para(7542(a,1),5252(a,2,2)),flip(a)]. given #6779 (H,wt=15): 7597 K(x,T(y,z)) \ u = K(y,T(x,z)) * u. [para(7542(a,1),5600(a,1,1))]. given #6780 (H,wt=15): 7601 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(7542(a,1),5337(a,1,1))]. given #6781 (H,wt=15): 7604 x / K(y,T(z,u)) = x * K(z,T(y,u)). [para(7542(a,1),6673(a,1,2))]. given #6782 (H,wt=15): 7613 K(x,T(y,z)) * y = y * K(x,T(y,z)). [para(7593(a,1),127(a,1,2))]. given #6783 (H,wt=15): 7617 K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)). [para(7522(a,2),7553(a,1,2))]. given #6784 (H,wt=15): 7626 K(x / y,z) * y = y * K(y \ x,z). [para(129(a,1),7525(a,1,2,1)),flip(a)]. given #6785 (H,wt=15): 7627 K((x * y) / x,z) * x = x * K(y,z). [para(166(a,1),7525(a,1,2,1)),flip(a)]. given #6786 (H,wt=15): 7631 T(x,(y \ (z \ y)) \ 1) = T(x,T(z,y)). [hyper(6930,a,7530,a)]. given #6787 (H,wt=15): 7646 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(6895,a,7559,a)]. given #6788 (H,wt=15): 7648 x \ (y * K(z,T(x,y))) = T(x,z) \ y. [hyper(80,a,7559,a,b,5225,a)]. given #6789 (H,wt=15): 7653 K(x,y / z) * z = z * K(x,z \ y). [para(129(a,1),7559(a,1,2,2)),flip(a)]. given #6790 (H,wt=15): 7655 T(x,K(y,z / x)) = T(x,K(y,x \ z)). [para(129(a,1),7563(a,1,2,2)),flip(a)]. given #6791 (H,wt=15): 7656 T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). [hyper(5978,a,7564,a)]. given #6792 (H,wt=15): 7678 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(7590(a,1),5263(a,2,1))]. given #6793 (H,wt=13): 7793 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(255,a,5263,a,b,7678,a)]. given #6794 (H,wt=15): 7681 K(x / y,z) \ y = y * K(z,y \ x). [para(7585(a,1),7625(a,1,2)),flip(a)]. given #6795 (H,wt=15): 7685 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(7659(a,1),5252(a,2,2))]. given #6796 (H,wt=13): 7797 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(255,a,5252,a,b,7685,a)]. given #6797 (H,wt=11): 7799 T(x,T(y,x \ y)) = T(x,y). [para(126(a,1),7797(a,2,2))]. given #6798 (H,wt=13): 7801 T(x,T(x * y,y)) = T(x,x * y). [para(18(a,1),7799(a,1,2,2))]. given #6799 (H,wt=15): 7700 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(255,a,7249,a,b,7411,a(flip)),flip(a)]. given #6800 (H,wt=15): 7701 K(x,y \ (z * x)) = K(x,y \ (x * z)). [hyper(255,a,7247,a(flip),b,7411,a(flip)),flip(a)]. given #6801 (H,wt=15): 7702 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(19(a,1),7411(a,2,2,2))]. given #6802 (H,wt=15): 7703 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(255,a,6973,a,b,7424,a(flip)),flip(a)]. given #6803 (H,wt=15): 7708 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(3327,a,7434,a)]. given #6804 (H,wt=15): 7710 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(255,a,47,a,b,7444,a)]. given #6805 (H,wt=15): 7712 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(255,a,5538,a(flip),b,7450,a)]. given #6806 (H,wt=15): 7714 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(172,a,7450,a,b,5850,a)]. given #6807 (H,wt=15): 7716 (K(x,y) * z) / x = K(x,y) * (z / x). [para(7711(a,1),483(a,1,2))]. given #6808 (H,wt=15): 7759 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(255,a,6970,a,b,7505,a(flip)),flip(a)]. given #6809 (H,wt=15): 7761 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(19(a,1),7505(a,1,1,1)),flip(a)]. given #6810 (H,wt=15): 7778 K(x,T(y \ 1,z)) = K(x,(y * z) \ z). [hyper(6896,a,7550,a),flip(a)]. given #6811 (H,wt=15): 7781 K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). [hyper(255,a,7539,a,b,7557,a),flip(a)]. given #6812 (H,wt=15): 7787 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(5933,a,7595,a)]. given #6813 (H,wt=15): 7788 K(x,y) \ T(T(x,y),z) = T(x,T(z,y)). [hyper(80,a,7595,a(flip),b,5558,a)]. given #6814 (H,wt=15): 7792 T(x,T(y \ 1,z)) = T(x,(y * z) \ z). [hyper(6901,a,7656,a),flip(a)]. given #6815 (H,wt=15): 7795 T(x / y,z) \ x = y * K(z,y \ x). [hyper(255,a,5667,a,b,7681,a(flip)),flip(a)]. given #6816 (H,wt=15): 7802 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(19(a,1),7701(a,2,2,2))]. given #6817 (H,wt=15): 7814 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(6559,a,7714,a),flip(a)]. given #6818 (H,wt=15): 7815 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6558,a,7714,a)]. given #6819 (H,wt=15): 7817 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(19(a,1),7714(a,1,1)),flip(a)]. given #6820 (H,wt=15): 7819 K(x \ (y \ (z * y)),y) = K(x \ z,y). [hyper(255,a,7240,a(flip),b,7759,a(flip))]. given #6821 (H,wt=15): 7824 x / T(y \ x,z) = T(x / y,z) \ x. [hyper(255,a,6777,a,b,7795,a),flip(a)]. given #6822 (H,wt=15): 7825 x / (y * K(z,y \ x)) = T(x / y,z). [para(7795(a,1),70(a,1,2))]. given #6823 (H,wt=15): 7827 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(18(a,1),7815(a,1,2,1)),flip(a)]. given #6824 (H,wt=15): 7828 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(7815(a,1),6560(a,1,1)),flip(a)]. given #6825 (H,wt=15): 7833 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(255,a,7761,a(flip),b,7819,a(flip))]. given #6826 (H,wt=15): 7837 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(7824(a,1),73(a,1,1))]. given #6827 (H,wt=15): 7838 T(x / (x / y),z) \ x = x / T(y,z). [para(73(a,1),7824(a,1,2,1)),flip(a)]. given #6828 (H,wt=15): 7842 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(6716,a,7828,a)]. given #6829 (H,wt=13): 7852 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(172,a,7842,a(flip),b,5535,a)]. given #6830 (H,wt=13): 7855 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(5829,a,7852,a)]. given #6831 (H,wt=13): 7861 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(7852(a,1),7555(a,1,2))]. given #6832 (H,wt=13): 7863 T(1 / x,T(y,x)) = T(1 / x,y). [para(2337(a,1),7855(a,1,1)),flip(a)]. given #6833 (H,wt=13): 7864 T(x \ 1,T(y,x)) = T(x \ 1,y). [para(2341(a,1),7855(a,1,1)),flip(a)]. given #6834 (H,wt=13): 7866 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(6105(a,1),7855(a,1,1)),flip(a)]. given #6835 (H,wt=14): 7860 T(x,T(y,y \ 1)) != z | T(x,y) = z. [para(7852(a,1),6155(a,1)),flip(b)]. given #6836 (H,wt=14): 7871 T(x,(y \ 1) \ 1) != z | T(x,y) = z. [para(128(a,1),7860(a,1,2))]. given #6837 (H,wt=15): 7846 K(x \ ((y \ z) * y),y) = K(x \ z,y). [hyper(255,a,7761,a(flip),b,7833,a(flip))]. given #6838 (H,wt=15): 7847 K(x \ (y * z),z) = K(x \ (z * y),z). [hyper(255,a,7507,a(flip),b,7833,a(flip))]. given #6839 (H,wt=15): 7856 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(255,a,7564,a,b,7852,a)]. given #6840 (H,wt=15): 7857 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [para(129(a,1),7852(a,1,1)),flip(a)]. given #6841 (H,wt=15): 7858 T((x * y) / x,T(x,z)) = T(y,K(x,z)). [para(166(a,1),7852(a,1,1)),flip(a)]. given #6842 (H,wt=15): 7859 T(x,K(y,z)) * y = y * T(x,T(y,z)). [para(7852(a,1),182(a,1,2)),flip(a)]. given #6843 (H,wt=15): 7867 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(129(a,1),7861(a,1,2,2)),flip(a)]. given #6844 (H,wt=13): 7879 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(255,a,7659,a(flip),b,7867,a)]. given #6845 (H,wt=13): 7881 K(x,T(y,z * x)) = K(x,T(y,z)). [para(20(a,1),7879(a,1,2,2)),flip(a)]. given #6846 (H,wt=13): 7886 T(K(x,y),z * x) = K(x,T(y,z)). [hyper(255,a,7539,a(flip),b,7881,a(flip)),flip(a)]. given #6847 (H,wt=13): 7888 T(K(x,y),z * x) = T(K(x,y),z). [hyper(255,a,7539,a(flip),b,7886,a)]. given #6848 (H,wt=15): 7876 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(255,a,6909,a,b,7857,a(flip)),flip(a)]. given #6849 (H,wt=15): 7877 T(x * y,K(x,z)) = x * T(y,K(x,z)). [para(7858(a,1),6908(a,1,2)),flip(a)]. given #6850 (H,wt=11): 7890 T(x / y,K(y,x)) = x / y. [hyper(5038,a,7877,a),flip(a)]. given #6851 (H,wt=15): 7878 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(255,a,6907,a,b,7859,a),flip(a)]. given #6852 (H,wt=15): 7883 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4659(a,1),7879(a,1,2))]. given #6853 (H,wt=16): 7435 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(50(a,1),7428(a,1,2))]. given #6854 (H,wt=16): 7513 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(50(a,1),7506(a,1,1))]. given #6855 (H,wt=16): 7534 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(4642(a,1),7483(a,1,2))]. given #6856 (H,wt=14): 7895 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(6953(a,1),7534(a,1))]. given #6857 (H,wt=14): 7896 K(x,y) != z | K(x,T(y,K(u,x))) = z. [para(2074(a,1),7895(a,1))]. given #6858 (H,wt=14): 7899 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7522(a,2),7895(a,1))]. given #6859 (H,wt=16): 7538 K(x * y,T(x,y)) != z | K(x * y,x) = z. [para(7485(a,1),5403(a,1))]. given #6860 (H,wt=16): 7560 x * K(y,T(z,x)) != u * x | K(y,z) = u. [para(7539(a,2),174(a,1,2)),flip(b)]. given #6861 (H,wt=16): 7565 T(x,K(y,T(z,x))) != u | T(x,K(y,z)) = u. [para(7539(a,2),5718(a,1,2))]. given #6862 (H,wt=16): 7573 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(7539(a,2),6900(a,1))]. given #6863 (H,wt=16): 7576 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(255,a,5139,a(flip),b,7542,a)]. given #6864 (H,wt=16): 7596 x / K(y,T(x,z)) != u | T(x,T(y,z)) = u. [para(7542(a,1),5201(a,1,2))]. given #6865 (H,wt=16): 7651 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7559(a,1),24(a,1))]. given #6866 (H,wt=16): 7699 K(T(x,x \ y),z) != u | K(T(x,y),z) = u. [para(6790(a,2),7698(a,1))]. given #6867 (H,wt=16): 7729 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(7723(a,1),45(a,2,1))]. given #6868 (H,wt=15): 7906 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [hyper(255,a,7228,a(flip),b,7729,a(flip)),flip(a)]. given #6869 (H,wt=15): 7908 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(5608(a,1),7906(a,1,2)),flip(a)]. given #6870 (H,wt=16): 7731 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(255,a,4560,a(flip),b,7464,a)]. given #6871 (H,wt=16): 7757 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(7753(a,1),5292(a,2,1,1))]. given #6872 (H,wt=12): 7911 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(255,a,5292,a,b,7757,a)]. given #6873 (H,wt=16): 7780 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(279(a,1),7551(a,1,1,1)),flip(a)]. given #6874 (H,wt=16): 7798 T(x,T(y,x \ z)) != u | T(x,T(y,z)) = u. [para(7685(a,2),5255(a,1))]. given #6875 (H,wt=16): 7862 K(x,T(y,T(z,L(x,u,w)))) = K(x,T(y,z)). [para(7852(a,1),7611(a,1,2))]. given #6876 (H,wt=16): 7872 T(x,T(y \ 1,y)) != z | T(x,y \ 1) = z. [para(1251(a,1),7860(a,1,2))]. given #6877 (H,wt=16): 7885 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(255,a,7427,a,b,7881,a),flip(a)]. given #6878 (H,wt=16): 7898 K((x \ y) \ y,z) != u | K(x,T(z,y)) = u. [para(6757(a,2),7895(a,1))]. given #6879 (H,wt=16): 7900 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(7580(a,2),7895(a,1))]. given #6880 (H,wt=16): 7902 T(K(x,y),z * x) != u | K(x,T(y,z)) = u. [para(7888(a,2),7895(a,1))]. given #6881 (H,wt=16): 7914 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(7539(a,2),7902(a,1))]. given #6882 (H,wt=17): 7414 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [hyper(255,a,5544,a,b,7410,a),flip(a)]. given #6883 (H,wt=17): 7416 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(7410(a,1),6663(a,1,1))]. given #6884 (H,wt=17): 7429 (1 / x) \ K(x \ 1,y) = x * K(x \ 1,y). [hyper(80,a,7413,a(flip),b,3043,a)]. given #6885 (H,wt=17): 7438 L(x * K(y,x),z,y) = L(x,z,y) * K(y,x). [para(7428(a,1),5984(a,1,2)),flip(a)]. given #6886 (H,wt=17): 7460 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(129(a,1),7423(a,1,3)),flip(a)]. given #6887 (H,wt=17): 7487 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(7482(a,1),5986(a,1,2)),flip(a)]. given #6888 (H,wt=17): 7516 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(7476(a,1),127(a,1,2))]. given #6889 (H,wt=17): 7528 K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). [para(7524(a,1),5263(a,2,1)),flip(a)]. given #6890 (H,wt=15): 7923 K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). [hyper(255,a,7855,a(flip),b,7528,a)]. given #6891 (H,wt=15): 7924 K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). [hyper(5854,a,7923,a)]. given #6892 (H,wt=17): 7541 K(x,T(y * z,y \ 1)) = K(x,T(y * z,z)). [para(4410(a,1),7486(a,1,2))]. given #6893 (H,wt=17): 7577 K(x,T(y,z) \ T(x,z)) = K(x,T(y \ x,z)). [hyper(255,a,7191,a,b,7542,a(flip)),flip(a)]. given #6894 (H,wt=17): 7583 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(47(a,2),7542(a,1,1))]. given #6895 (H,wt=17): 7599 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(7542(a,1),5560(a,1,1))]. given #6896 (H,wt=17): 7605 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(7542(a,1),6784(a,1,1,2))]. given #6897 (H,wt=17): 7616 K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). [para(47(a,2),7553(a,1,2))]. given #6898 (H,wt=17): 7618 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(129(a,1),7554(a,1,2)),flip(a)]. given #6899 (H,wt=17): 7621 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(6680(a,1),7520(a,1,1)),flip(a)]. given #6900 (H,wt=17): 7624 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [para(7523(a,1),5263(a,2,1)),flip(a)]. given #6901 (H,wt=17): 7647 (x \ y) * K(z,T(x,x \ y)) = T(x,z) \ y. [hyper(255,a,5560,a(flip),b,7559,a)]. given #6902 (H,wt=17): 7649 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(22,a,6121,a(flip),b,7559,a)]. given #6903 (H,wt=17): 7654 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(7539(a,2),7559(a,1,2,2))]. given #6904 (H,wt=17): 7657 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(7564(a,1),6551(a,1,2,2))]. given #6905 (H,wt=17): 7661 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(138(a,1),7584(a,1,2))]. given #6906 (H,wt=17): 7662 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(7584(a,1),5263(a,2,1)),flip(a)]. given #6907 (H,wt=17): 7679 T(x,T(y,z) \ T(x,z)) = T(x,T(y \ x,z)). [hyper(7190,a,7594,a)]. given #6908 (H,wt=17): 7686 K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)). [para(6854(a,1),7659(a,1,2))]. given #6909 (H,wt=17): 7688 (x * y) * K(x,T(z,y)) = K(x,z) * (x * y). [para(7660(a,1),127(a,1,2))]. given #6910 (H,wt=17): 7690 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(129(a,1),7683(a,1,2)),flip(a)]. given #6911 (H,wt=17): 7738 K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)). [para(4578(a,1),7737(a,1,2,1)),flip(a)]. given #6912 (H,wt=17): 7739 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(7468(a,1),127(a,1,2)),flip(a)]. given #6913 (H,wt=17): 7741 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(129(a,1),7471(a,1,2))]. given #6914 (H,wt=17): 7743 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(7475(a,1),127(a,1,2)),flip(a)]. given #6915 (H,wt=17): 7760 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(255,a,6966,a,b,7505,a(flip)),flip(a)]. given #6916 (H,wt=15): 7938 K(x \ (y \ 1),y) = K(y \ (x \ 1),y). [hyper(6007,a,7760,a),flip(a)]. given #6917 (H,wt=15): 7939 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [hyper(255,a,7761,a(flip),b,7938,a(flip))]. given #6918 (H,wt=17): 7776 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(127(a,1),7518(a,1,2,1)),flip(a)]. given #6919 (H,wt=17): 7777 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(6850(a,1),7536(a,1,2)),flip(a)]. given #6920 (H,wt=17): 7791 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(5785(a,1),7653(a,1,1)),flip(a)]. given #6921 (H,wt=15): 7942 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(22,a,7559,a,b,7791,a),flip(a)]. given #6922 (H,wt=15): 7943 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(255,a,7778,a(flip),b,7942,a(flip)),flip(a)]. given #6923 (H,wt=15): 7944 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [para(73(a,1),7942(a,2,2,2))]. given #6924 (H,wt=17): 7811 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(80,a,7710,a(flip),b,5548,a)]. given #6925 (H,wt=17): 7812 (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). [para(5221(a,2),7712(a,1,1))]. given #6926 (H,wt=17): 7813 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [para(5536(a,1),7712(a,1,1)),flip(a)]. given #6927 (H,wt=15): 7948 x * K(T(y,z) \ x,y) = (y \ x) * y. [hyper(6647,a,7813,a)]. given #6928 (H,wt=13): 7949 x / T(y,T(y,z) \ x) = y \ x. [hyper(6746,a,7948,a)]. given #6929 (H,wt=13): 7950 T(x,T(x,y) \ z) = (x \ z) \ z. [para(7949(a,1),73(a,1,1)),flip(a)]. given #6930 (H,wt=13): 7951 T(x,T(x,y) \ z) = T(x,x \ z). [hyper(255,a,128,a,b,7950,a)]. given #6931 (H,wt=13): 7954 T(x,x \ (T(x,y) * z)) = T(x,z). [para(18(a,1),7951(a,1,2)),flip(a)]. given #6932 (H,wt=11): 7957 T(x,K(x,y) * z) = T(x,z). [para(5534(a,1),7954(a,1,2))]. given #6933 (H,wt=11): 7959 T(x,K(y,x) * z) = T(x,z). [para(5608(a,1),7957(a,1,2)),flip(a)]. given #6934 (H,wt=11): 7967 T(x,y * K(z,x)) = T(x,y). [para(7627(a,1),7959(a,1,2))]. given #6935 (H,wt=11): 7970 T(x,y * K(x,z)) = T(x,y). [para(6672(a,1),7967(a,1,2)),flip(a)]. given #6936 (H,wt=13): 7960 T(x,T(y,x) \ z) = T(x,y \ z). [para(5560(a,1),7957(a,1,2))]. given #6937 (H,wt=13): 7974 K(x,y * K(x,z)) = x \ T(x,y). [hyper(80,a,7970,a(flip),b,5252,a(flip)),flip(a)]. given #6938 (H,wt=11): 7982 K(x,y * K(x,z)) = K(x,y). [hyper(255,a,5186,a,b,7974,a)]. given #6939 (H,wt=11): 7983 T(x,K(y,x * K(y,z))) = x. [para(7974(a,2),3151(a,1,2))]. given #6940 (H,wt=11): 7988 K(x,y * K(z,x)) = K(x,y). [para(6672(a,1),7982(a,1,2)),flip(a)]. given #6941 (H,wt=11): 7994 K(x,K(x,y) * z) = K(x,z). [para(7559(a,1),7982(a,1,2))]. given #6942 (H,wt=11): 7995 K(x,K(y,x) * z) = K(x,z). [para(7572(a,1),7982(a,1,2)),flip(a)]. given #6943 (H,wt=11): 7996 K(x,K(y,x * K(y,z))) = 1. [hyper(41,a,7983,a)]. given #6944 (H,wt=11): 8001 K(x,K(x,y) \ z) = K(x,z). [para(7625(a,1),7988(a,1,2))]. given #6945 (H,wt=11): 8003 K(x,K(y,x) \ z) = K(x,z). [para(5600(a,2),7994(a,1,2))]. given #6946 (H,wt=13): 7991 K(x,y \ T(z,x)) = K(x,y \ z). [para(6967(a,1),7982(a,1,2)),flip(a)]. given #6947 (H,wt=13): 7997 K(x * K(y,z),z) = 1 / K(z,x). [para(7988(a,1),5394(a,1,2)),flip(a)]. given #6948 (H,wt=11): 8007 K(x * K(y,z),z) = K(x,z). [hyper(255,a,5394,a(flip),b,7997,a)]. given #6949 (H,wt=11): 8014 K(x * K(y,z),y) = K(x,y). [para(6672(a,1),8007(a,1,1)),flip(a)]. given #6950 (H,wt=11): 8016 K(K(x,y) * z,y) = K(z,y). [para(7525(a,1),8007(a,1,1))]. given #6951 (H,wt=11): 8017 K(K(x,y) * z,x) = K(z,x). [para(7527(a,1),8007(a,1,1)),flip(a)]. given #6952 (H,wt=11): 8018 K(K(x,y) \ z,x) = K(z,x). [para(7625(a,1),8007(a,1,1))]. given #6953 (H,wt=13): 7999 K(x,y \ T(y * z,x)) = K(x,z). [para(6018(a,2),7988(a,1,2))]. given #6954 (H,wt=13): 8002 K(x,T(x,y) * z) = K(x,x * z). [para(5272(a,1),7994(a,1,2))]. given #6955 (H,wt=13): 8009 K(x * T(y,z),z) = K(x * y,z). [para(1562(a,1),8007(a,1,1))]. given #6956 (H,wt=13): 8013 K(x * T(y,z),y) = K(x * y,y). [para(6633(a,1),8007(a,1,1)),flip(a)]. given #6957 (H,wt=13): 8015 K(x * K(y,T(z,u)),z) = K(x,z). [para(7542(a,1),8007(a,1,1,2))]. given #6958 (H,wt=13): 8030 K(x * T(y,z),y) = K(y * x,y). [hyper(255,a,5894,a(flip),b,8013,a)]. given #6959 (H,wt=13): 8033 K(x * (y / T(x,z)),x) = K(y,x). [para(21(a,1),8030(a,1,1)),flip(a)]. given #6960 (H,wt=14): 7958 T(x,K(x,y) * L(K(z,x),u,w)) = x. [hyper(255,a,3223,a(flip),b,7957,a)]. given #6961 (H,wt=14): 7978 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(6189(a,1),7970(a,1,2,2))]. given #6962 (H,wt=14): 7984 K(x,y * K(x,z)) != u | K(x,y) = u. [para(7974(a,2),5325(a,1))]. given #6963 (H,wt=13): 8037 L(K(x,y),y,z) != u | K(x,y) = u. [para(6577(a,2),7984(a,1))]. given #6964 (H,wt=14): 7986 K(x,y * L(K(x,z),u,w)) = K(x,y). [para(6189(a,1),7982(a,1,2,2))]. given #6965 (H,wt=14): 7987 K(x,y * R(K(x,z),u,w)) = K(x,y). [para(6361(a,1),7982(a,1,2,2))]. given #6966 (H,wt=14): 8005 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(6361(a,1),7994(a,1,2,1))]. given #6967 (H,wt=14): 8006 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(6205(a,1),7995(a,1,2,1))]. given #6968 (H,wt=14): 8008 K(x * K(y,z),z) != u | K(x,z) = u. [para(7997(a,2),5395(a,1))]. given #6969 (H,wt=14): 8012 K(x * L(K(y,z),u,w),z) = K(x,z). [para(6475(a,1),8007(a,1,1,2))]. given #6970 (H,wt=14): 8025 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6361(a,1),8017(a,1,1,1))]. given #6971 (H,wt=14): 8035 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(7046(a,1),7978(a,1,2,2))]. given #6972 (H,wt=14): 8041 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(7208(a,1),8005(a,1,2,1))]. given #6973 (H,wt=14): 8042 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(6382(a,1),8006(a,1,2,1))]. given #6974 (H,wt=14): 8043 K(x * y,y) != z | K(y * x,y) = z. [para(104(a,1),8008(a,1,1))]. given #6975 (H,wt=14): 8045 K(x,y) != z | K(x * K(y,u),y) = z. [para(6672(a,1),8008(a,1,1))]. given #6976 (H,wt=14): 8046 K(K(x,y) \ z,x) != u | K(z,x) = u. [para(7625(a,1),8008(a,1,1))]. given #6977 (H,wt=14): 8047 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(7009(a,1),8012(a,1,1,2))]. given #6978 (H,wt=14): 8050 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(7208(a,1),8025(a,1,1,1))]. given #6979 (H,wt=14): 8056 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(7627(a,1),8042(a,1,2))]. given #6980 (H,wt=14): 8058 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7527(a,1),8047(a,1,1)),flip(a)]. given #6981 (H,wt=15): 7963 T(x,(y / x) \ z) = T(x,(x \ y) \ z). [para(6053(a,1),7957(a,1,2)),flip(a)]. given #6982 (H,wt=15): 7965 K(x,T(y,K(x,z) * u)) = K(T(x,u),y). [para(7957(a,1),7542(a,1,1)),flip(a)]. given #6983 (H,wt=15): 7971 T(x,y / (z / x)) = T(x,y / (x \ z)). [para(6878(a,1),7967(a,1,2))]. given #6984 (H,wt=15): 7980 T(x,y * (z * x)) = T(x,y * (x * z)). [para(7053(a,1),7970(a,1,2)),flip(a)]. given #6985 (H,wt=15): 7981 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(255,a,7776,a(flip),b,7960,a(flip)),flip(a)]. given #6986 (H,wt=15): 7990 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(6886(a,1),7982(a,1,2)),flip(a)]. given #6987 (H,wt=15): 7992 K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). [para(7124(a,1),7982(a,1,2)),flip(a)]. given #6988 (H,wt=15): 8021 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(7586(a,1),8016(a,1,1,1))]. given #6989 (H,wt=15): 8022 K(K(x,y) * z,x) = K(z * K(x,u),x). [hyper(255,a,8014,a,b,8017,a)]. given #6990 (H,wt=14): 8069 K(K(x,y) * z,x) != u | K(z,x) = u. [para(8022(a,2),8008(a,1))]. given #6991 (H,wt=14): 8070 K(x * y,x) != z | K(y * x,x) = z. [para(5175(a,1),8069(a,1,1))]. given #6992 (H,wt=15): 8031 K(T(x,y) * z,x) = K(z * T(x,y),x). [para(104(a,1),8015(a,1,1)),flip(a)]. given #6993 (H,wt=15): 8032 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(6020(a,1),8015(a,1,1))]. given #6994 (H,wt=15): 8034 T(x,y * (z * K(x,u))) = T(x,y * z). [para(112(a,1),7978(a,1,2))]. given #6995 (H,wt=15): 8040 K(x,y * (z * K(u,x))) = K(x,y * z). [para(7083(a,1),7986(a,1,2)),flip(a)]. given #6996 (H,wt=15): 8048 K(x * (y * K(z,u)),z) = K(x * y,z). [para(7083(a,1),8012(a,1,1)),flip(a)]. given #6997 (H,wt=15): 8049 K((K(x,y) * z) * u,x) = K(z * u,x). [para(122(a,1),8025(a,1,1))]. given #6998 (H,wt=15): 8062 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(255,a,7519,a(flip),b,7963,a)]. given #6999 (H,wt=15): 8063 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [hyper(255,a,7542,a(flip),b,7965,a)]. given #7000 (H,wt=15): 8064 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(255,a,7496,a,b,7971,a(flip)),flip(a)]. given #7001 (H,wt=15): 8066 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(255,a,7452,a,b,7990,a(flip)),flip(a)]. given #7002 (H,wt=15): 8067 K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). [para(5608(a,1),7992(a,1,2,1)),flip(a)]. given #7003 (H,wt=15): 8076 K(x * (K(y,z) * u),y) = K(x * u,y). [para(7559(a,1),8048(a,1,1,2))]. given #7004 (H,wt=16): 8044 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1560(a,1),8008(a,1,1))]. given #7005 (H,wt=16): 8060 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(5226(a,1),8050(a,1,1)),flip(a)]. given #7006 (H,wt=17): 7826 T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). [para(7802(a,1),5252(a,2,2))]. given #7007 (H,wt=15): 8082 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [hyper(255,a,5252,a,b,7826,a)]. given #7008 (H,wt=15): 8085 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(18(a,1),8082(a,1,2,2,1))]. given #7009 (H,wt=15): 8088 T(x,(y / x) \ z) = T(x,y \ (z * x)). [hyper(255,a,8062,a,b,8085,a),flip(a)]. given #7010 (H,wt=15): 8089 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(255,a,7519,a,b,8085,a),flip(a)]. given #7011 (H,wt=17): 7839 (x * y) / (x * K(z,y)) = T((x * y) / x,z). [para(18(a,1),7825(a,1,2,2,2))]. given #7012 (H,wt=17): 7843 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(255,a,6629,a,b,7828,a),flip(a)]. given #7013 (H,wt=17): 7844 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(80,a,7828,a,b,5220,a)]. given #7014 (H,wt=17): 7849 K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). [para(7837(a,1),7540(a,1,2)),flip(a)]. given #7015 (H,wt=17): 7854 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [para(7842(a,2),6663(a,1,1))]. given #7016 (H,wt=17): 7865 L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x). [para(7855(a,1),4672(a,1,2)),flip(a)]. given #7017 (H,wt=17): 7868 T(1 / (x \ y),T(x,y)) = T(1 / (x \ y),x). [hyper(255,a,7479,a(flip),b,7863,a(flip)),flip(a)]. given #7018 (H,wt=17): 7869 T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). [hyper(255,a,7479,a(flip),b,7864,a(flip)),flip(a)]. given #7019 (H,wt=17): 7870 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(255,a,7479,a(flip),b,7866,a(flip)),flip(a)]. given #7020 (H,wt=17): 7884 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(4660(a,1),7879(a,1,2))]. given #7021 (H,wt=17): 7887 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(7881(a,1),7559(a,1,2))]. given #7022 (H,wt=15): 8095 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(6621,a,7887,a),flip(a)]. given #7023 (H,wt=17): 7921 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(255,a,3146,a(flip),b,7487,a)]. given #7024 (H,wt=17): 7927 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(3140(a,1),7583(a,2,2))]. given #7025 (H,wt=17): 7931 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6907(a,2),7657(a,1,2))]. given #7026 (H,wt=13): 8098 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(5325,a,7931,a)]. given #7027 (H,wt=11): 8099 K(x,K(y,z)) = K(z,K(y,x)). [hyper(255,a,7783,a(flip),b,8098,a(flip))]. given #7028 (H,wt=11): 8100 K(K(x,y),z) = K(x,K(y,z)). [hyper(6099,a,8099,a)]. given #7029 (H,wt=13): 8101 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(255,a,8098,a(flip),b,8099,a)]. given #7030 (H,wt=13): 8105 x * K(y,K(z,x)) = T(x,K(z,y)). [para(8099(a,1),5252(a,2,2)),flip(a)]. given #7031 (H,wt=13): 8106 K(x,K(y,z)) * z = T(z,K(y,x)). [para(8099(a,1),5263(a,2,1)),flip(a)]. given #7032 (H,wt=13): 8110 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(8099(a,1),6093(a,1,1))]. given #7033 (H,wt=11): 8134 K(x,K(y,z)) = K(y,K(x,z)). [hyper(6097,a,8110,a)]. given #7034 (H,wt=11): 8135 K(K(x,y),z) = K(y,K(z,x)). [hyper(5384,a,8110,a)]. given #7035 (H,wt=11): 8137 K(K(x,y),z) = K(y,K(x,z)). [hyper(255,a,8100,a,b,8134,a),flip(a)]. given #7036 (H,wt=11): 8138 K(x,K(y,z)) = K(z,K(x,y)). [hyper(255,a,8099,a,b,8134,a)]. given #7037 (H,wt=11): 8152 K(K(x,y),z) = K(x,K(z,y)). [hyper(255,a,8099,a,b,8135,a)]. given #7038 (H,wt=11): 8153 K(K(x,y),z) = K(z,K(x,y)). [hyper(255,a,8099,a,b,8137,a)]. given #7039 (H,wt=11): 8154 K(x,K(y,z)) = K(x,K(z,y)). [hyper(255,a,8135,a(flip),b,8137,a(flip))]. given #7040 (H,wt=13): 8119 T(x,K(y,z)) * K(y,K(z,x)) = x. [para(8100(a,1),5194(a,1,2))]. given #7041 (H,wt=13): 8129 K(x,K(y,z / y)) = K(x,K(y,z)). [para(21(a,1),8101(a,1,2,2)),flip(a)]. given #7042 (H,wt=13): 8131 K(x,K(y,y * z)) = K(x,K(y,z)). [para(5842(a,1),8101(a,1,2))]. given #7043 (H,wt=13): 8139 K(x,K(x * y,z)) = K(y,K(x,z)). [hyper(255,a,7782,a(flip),b,8134,a)]. given #7044 (H,wt=13): 8140 x * K(y,K(x,z)) = T(x,K(y,z)). [para(8134(a,1),5252(a,2,2)),flip(a)]. given #7045 (H,wt=13): 8141 K(x,K(y,z)) * y = T(y,K(x,z)). [para(8134(a,1),5263(a,2,1)),flip(a)]. given #7046 (H,wt=13): 8150 x * K(y,K(z,x)) = T(x,K(y,z)). [para(8134(a,1),8105(a,1,2))]. given #7047 (H,wt=11): 8193 T(x,K(y,z)) = T(x,K(z,y)). [hyper(255,a,8105,a(flip),b,8150,a(flip))]. given #7048 (H,wt=11): 8198 T(T(x,K(y,z)),K(y,z)) = x. [hyper(6800,a,8193,a)]. given #7049 (H,wt=13): 8151 K(x,K(y,z)) * z = T(z,K(x,y)). [para(8134(a,1),8106(a,1,1))]. given #7050 (H,wt=13): 8158 x * K(K(y,z),x) = T(x,K(y,z)). [para(8137(a,2),8105(a,1,2))]. given #7051 (H,wt=13): 8160 K(x,K(y,x \ z)) = K(z,K(x,y)). [hyper(255,a,7784,a(flip),b,8138,a)]. given #7052 (H,wt=13): 8161 K(x,K(y,z)) * y = T(y,K(z,x)). [para(8138(a,1),5263(a,2,1)),flip(a)]. given #7053 (H,wt=13): 8172 x * K(x,K(y,z)) = T(x,K(z,y)). [para(8138(a,1),8105(a,1,2))]. given #7054 (H,wt=13): 8173 K(x,K(y,z)) * x = T(x,K(z,y)). [para(8138(a,1),8106(a,1,1))]. given #7055 (H,wt=13): 8178 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(8153(a,1),5382(a,1,1))]. given #7056 (H,wt=13): 8190 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(5374(a,1),8129(a,1,2))]. given #7057 (H,wt=13): 8192 K(x,K(x * y,z)) = K(x,K(y,z)). [hyper(255,a,8134,a,b,8139,a)]. given #7058 (H,wt=13): 8200 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(255,a,7852,a(flip),b,8193,a)]. given #7059 (H,wt=13): 8208 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(8193(a,1),7855(a,1,1))]. given #7060 (H,wt=13): 8212 T(K(x,y),z) * z = z * K(x,y). [para(8198(a,1),4584(a,1,2))]. given #7061 (H,wt=11): 8227 T(T(K(x,y),z),z) = K(x,y). [hyper(393,a,8212,a)]. given #7062 (H,wt=11): 8231 T(K(x,T(y,z)),z) = K(x,y). [hyper(23,a,7559,a(flip),b,8212,a)]. given #7063 (H,wt=11): 8236 K(x,T(T(y,z),z)) = K(x,y). [hyper(255,a,7781,a,b,8227,a(flip)),flip(a)]. given #7064 (H,wt=11): 8242 K(T(x,y),T(z,y)) = K(x,z). [hyper(7698,a,8231,a)]. given #7065 (H,wt=13): 8213 (x * K(y,z)) / x = T(K(y,z),x). [para(8198(a,1),4586(a,1,2))]. given #7066 (H,wt=13): 8218 K(x,K(y,x \ z)) = K(x,K(y,z)). [hyper(255,a,8138,a,b,8160,a)]. given #7067 (H,wt=13): 8219 K(x,K(y,x \ z)) = K(x,K(z,y)). [hyper(255,a,8134,a,b,8160,a)]. given #7068 (H,wt=13): 8223 K(x,K(x \ y,z)) = K(x,K(y,z)). [para(19(a,1),8192(a,1,2,1)),flip(a)]. given #7069 (H,wt=13): 8225 K(T(x,T(y,z)),z) = K(T(x,y),z). [para(8200(a,1),7524(a,1,1))]. given #7070 (H,wt=13): 8229 T(K(x \ y,z),x) = K(y / x,z). [hyper(23,a,7626,a,b,8212,a)]. given #7071 (H,wt=13): 8230 T(K(x \ y,z),y) = K(y / x,z). [hyper(23,a,6788,a,b,8212,a)]. given #7072 (H,wt=13): 8234 K(T(x,y),z) * y = y * K(x,z). [para(7522(a,2),8212(a,1,1))]. given #7073 (H,wt=13): 8235 K(x,T(y,z)) * z = z * K(x,y). [para(7539(a,2),8212(a,1,1))]. given #7074 (H,wt=13): 8243 K(x \ y,T(z,y)) = K(y / x,z). [hyper(6936,a,8231,a)]. given #7075 (H,wt=13): 8246 (x * K(y,z)) / x = K(y,T(z,x)). [para(8231(a,1),167(a,1,1,2))]. given #7076 (H,wt=13): 8252 K(x,T(y \ z,z)) = K(x,z / y). [hyper(255,a,7849,a(flip),b,8236,a(flip)),flip(a)]. given #7077 (H,wt=13): 8253 K((x * y) / x,z) = K(y,T(z,x)). [hyper(255,a,7586,a(flip),b,8236,a(flip))]. given #7078 (H,wt=13): 8254 K(x \ y,T(z,x)) = K(y / x,z). [hyper(255,a,7584,a(flip),b,8236,a(flip)),flip(a)]. given #7079 (H,wt=13): 8255 K(x,T(y \ z,y)) = K(x,z / y). [para(129(a,1),8236(a,1,2,1))]. given #7080 (H,wt=13): 8256 K(x,(y * z) / y) = K(x,T(z,y)). [para(166(a,1),8236(a,1,2,1)),flip(a)]. given #7081 (H,wt=13): 8257 K(T(x,y),z \ y) = K(x,y / z). [hyper(7573,a,8242,a)]. given #7082 (H,wt=13): 8263 K(T(x,y),y \ z) = K(x,z / y). [para(129(a,1),8242(a,1,2))]. given #7083 (H,wt=13): 8264 K(x,(y * z) / y) = K(T(x,y),z). [para(166(a,1),8242(a,1,2)),flip(a)]. given #7084 (H,wt=13): 8269 K(x * K(y,x),z) = K(x,T(z,y)). [para(5216(a,1),8242(a,1,1)),flip(a)]. given #7085 (H,wt=13): 8270 x * K(T(x,y),T(z,y)) = T(x,z). [para(8242(a,2),5252(a,2,2)),flip(a)]. given #7086 (H,wt=13): 8276 K(x,T(y,z)) * (z * K(y,x)) = z. [para(8242(a,1),7650(a,1,2,2))]. given #7087 (H,wt=13): 8278 K(x,K(y,x * z)) = K(x,K(y,z)). [para(18(a,1),8218(a,1,2,2)),flip(a)]. given #7088 (H,wt=13): 8308 K(x,y / (y / z)) = K(x,T(z,y)). [para(73(a,1),8252(a,1,2,1)),flip(a)]. given #7089 (H,wt=14): 8111 K(x,K(y,z)) != u | K(K(x,y),z) = u. [para(8099(a,1),6099(a,1))]. given #7090 (H,wt=14): 8122 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(8100(a,1),6119(a,1))]. given #7091 (H,wt=14): 8136 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(8110(a,1),6097(a,1))]. given #7092 (H,wt=14): 8156 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(8137(a,1),6119(a,1))]. given #7093 (H,wt=14): 8176 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(8152(a,1),6119(a,1))]. given #7094 (H,wt=14): 8183 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(8153(a,1),6119(a,1))]. given #7095 (H,wt=14): 8207 T(T(x,K(y,z)),K(y,z)) != u | u = x. [para(8193(a,1),6800(a,1,1))]. given #7096 (H,wt=12): 8348 T(x,K(y,T(x,z))) != u | u = x. [para(7593(a,1),8207(a,1,1))]. given #7097 (H,wt=14): 8214 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(8198(a,1),6800(a,1,1)),flip(b)]. given #7098 (H,wt=14): 8277 T(K(x,y),y \ 1) != z | K(x,y) = z. [para(8213(a,1),2342(a,1))]. given #7099 (H,wt=14): 8335 K(x,x / (x / y)) != z | K(x,y) = z. [para(8308(a,2),5403(a,1))]. given #7100 (H,wt=14): 8339 K(K(x,y),z) != u | K(x,K(y,z)) = u. [para(6092(a,2),8122(a,1))]. given #7101 (H,wt=14): 8342 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(8137(a,2),8122(a,1))]. given #7102 (H,wt=14): 8343 K(K(x,y),z) != u | K(y,K(z,x)) = u. [para(8152(a,2),8122(a,1))]. given #7103 (H,wt=15): 8102 K(x,y) \ K(y,K(x,z)) = K(y,T(x,z)). [hyper(80,a,8099,a,b,7567,a)]. given #7104 (H,wt=15): 8104 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(8099(a,1),5208(a,2,1)),flip(a)]. given #7105 (H,wt=15): 8112 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(8099(a,1),6094(a,1,2))]. given #7106 (H,wt=15): 8113 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(8099(a,1),6096(a,1,1))]. given #7107 (H,wt=15): 8115 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(8099(a,1),7549(a,1,2))]. given #7108 (H,wt=15): 8116 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [para(8099(a,1),7924(a,1,1))]. given #7109 (H,wt=13): 8358 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(8116(a,1),7957(a,1,2))]. given #7110 (H,wt=15): 8127 K(x,K(K(x,y) \ z,u)) = K(K(x,z),u). [para(8001(a,1),8100(a,1,1)),flip(a)]. given #7111 (H,wt=15): 8128 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(8017(a,1),8100(a,1,1)),flip(a)]. given #7112 (H,wt=15): 8132 T(x,K(y,y * z)) = K(z,K(y,x)) * x. [para(7782(a,1),8106(a,1,1)),flip(a)]. given #7113 (H,wt=13): 8363 T(x,K(y,y * z)) = T(x,K(z,y)). [hyper(255,a,8151,a(flip),b,8132,a)]. given #7114 (H,wt=13): 8364 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(255,a,8106,a(flip),b,8132,a)]. given #7115 (H,wt=11): 8366 T(x,K(y,y * T(x,z))) = x. [hyper(255,a,7593,a(flip),b,8364,a)]. given #7116 (H,wt=13): 8367 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(19(a,1),8364(a,1,2,2)),flip(a)]. given #7117 (H,wt=13): 8368 T(x,K(y,z / y)) = T(x,K(y,z)). [para(5844(a,1),8364(a,1,2)),flip(a)]. given #7118 (H,wt=15): 8133 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(8106(a,1),8063(a,1,2,2))]. given #7119 (H,wt=15): 8143 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(5842(a,2),8134(a,1,2))]. given #7120 (H,wt=15): 8144 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(8134(a,1),6094(a,1,2))]. given #7121 (H,wt=15): 8146 K(x,K(T(y,z),u)) = K(y,K(x,T(u,z))). [para(7542(a,2),8134(a,1,2))]. given #7122 (H,wt=15): 8148 K(x,y) * K(y,K(z,x)) = K(x,T(y,z)). [para(8134(a,1),7549(a,1,2))]. given #7123 (H,wt=15): 8149 K(x,K(y,K(x,z) * u)) = K(y,K(x,u)). [para(7994(a,1),8134(a,1,2)),flip(a)]. given #7124 (H,wt=15): 8159 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(255,a,7567,a,b,8138,a),flip(a)]. given #7125 (H,wt=15): 8169 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7542(a,1),8138(a,1,2))]. given #7126 (H,wt=15): 8170 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(8138(a,2),7548(a,1,1))]. given #7127 (H,wt=15): 8171 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(8138(a,1),7549(a,1,2))]. given #7128 (H,wt=15): 8174 K(x,K(y,z)) / y = 1 / T(y,K(x,z)). [hyper(81,a,8152,a(flip),b,5183,a(flip))]. given #7129 (H,wt=15): 8177 K(x,y) * K(z,K(x,y)) = T(K(x,y),z). [para(8153(a,1),5252(a,2,2)),flip(a)]. given #7130 (H,wt=15): 8186 K(x,K(y,T(z,u))) = K(x,T(K(z,y),u)). [para(7522(a,1),8154(a,1,2)),flip(a)]. given #7131 (H,wt=15): 8187 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(8154(a,1),7549(a,1,2))]. given #7132 (H,wt=15): 8188 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(8119(a,1),8034(a,1,2,2)),flip(a)]. given #7133 (H,wt=15): 8189 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(4680(a,1),8129(a,1,2))]. given #7134 (H,wt=15): 8195 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(6941,a,8193,a)]. given #7135 (H,wt=15): 8196 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(6871,a,8193,a),flip(a)]. given #7136 (H,wt=15): 8197 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(6838,a,8193,a),flip(a)]. given #7137 (H,wt=15): 8199 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(5717,a,8193,a)]. given #7138 (H,wt=15): 8201 T(x * y,K(z,y)) = y * T(x,T(y,z)). [hyper(255,a,6907,a(flip),b,8193,a)]. given #7139 (H,wt=15): 8202 K(x,y) * T(z,K(y,x)) = z * K(x,y). [para(8193(a,1),127(a,1,2))]. given #7140 (H,wt=15): 8206 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(8193(a,1),6102(a,1,1))]. given #7141 (H,wt=15): 8209 T(x,K(y,z)) * z = z * T(x,T(z,y)). [para(8193(a,1),7859(a,1,1))]. given #7142 (H,wt=15): 8220 T(x,K(y,x \ z)) = K(z,K(x,y)) * x. [para(8160(a,1),5263(a,2,1))]. given #7143 (H,wt=13): 8387 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(255,a,8161,a(flip),b,8220,a)]. given #7144 (H,wt=13): 8388 T(x,K(y,z / x)) = T(x,K(y,z)). [hyper(255,a,7655,a,b,8387,a(flip)),flip(a)]. given #7145 (H,wt=13): 8389 T(x,K(y,x * z)) = T(x,K(y,z)). [para(18(a,1),8387(a,1,2,2)),flip(a)]. given #7146 (H,wt=13): 8390 T(x,K(y,z / x)) = T(x,K(z,y)). [hyper(255,a,8193,a,b,8388,a)]. given #7147 (H,wt=13): 8391 T(x,K(y,z * x)) = T(x,K(y,z)). [para(20(a,1),8388(a,1,2,2)),flip(a)]. given #7148 (H,wt=13): 8392 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(255,a,8193,a,b,8389,a)]. given #7149 (H,wt=13): 8393 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(255,a,8193,a,b,8391,a)]. given #7150 (H,wt=13): 8396 T(x,K(y * x,z)) = T(x,K(y,z)). [hyper(8214,a,8393,a)]. given #7151 (H,wt=15): 8222 K(x,K(y \ z,y)) = K(x,K(z / y,z)). [para(6409(a,1),8190(a,1,2))]. given #7152 (H,wt=15): 8232 K(x,y \ z) * z = z * K(x,z / y). [para(6599(a,1),8212(a,1,1))]. given #7153 (H,wt=15): 8233 K(x \ y,z) * y = y * K(y / x,z). [para(6755(a,1),8212(a,1,1))]. given #7154 (H,wt=15): 8240 T(K(1 / T(x,y),z),y) = K(1 / x,z). [para(5969(a,2),8227(a,1,1))]. given #7155 (H,wt=15): 8241 T(K(x,1 / T(y,z)),z) = K(x,1 / y). [para(5979(a,2),8227(a,1,1))]. given #7156 (H,wt=15): 8244 K(T(x,y) \ 1,T(z,y)) = K(x \ 1,z). [hyper(5966,a,8231,a)]. given #7157 (H,wt=15): 8249 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(8231(a,1),7526(a,1,1)),flip(a)]. given #7158 (H,wt=15): 8268 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(4506(a,1),8242(a,1,2))]. given #7159 (H,wt=15): 8279 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(255,a,5998,a,b,8229,a)]. given #7160 (H,wt=15): 8282 K(x / y,x / z) = K(y \ x,z \ x). [hyper(6900,a,8230,a),flip(a)]. given #7161 (H,wt=15): 8284 x / K(x / y,z) = K(y \ x,z) \ x. [para(8230(a,1),6872(a,1,2))]. given #7162 (H,wt=15): 8286 K(x,T(y \ 1,z)) = K(x,y \ K(y,z)). [hyper(23,a,6431,a,b,8235,a)]. given #7163 (H,wt=15): 8288 K(x,T((y \ z) \ 1,y)) = K(x,y / z). [hyper(23,a,6113,a(flip),b,8235,a)]. given #7164 (H,wt=15): 8289 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(81,a,8235,a(flip),b,5221,a)]. given #7165 (H,wt=15): 8293 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(8235(a,1),5220(a,1,2)),flip(a)]. given #7166 (H,wt=15): 8296 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(8235(a,1),8063(a,1,2,2))]. given #7167 (H,wt=15): 8297 K(x,T(y * K(x,z),u)) = K(x,T(y,u)). [para(8235(a,1),8067(a,1,2,1))]. given #7168 (H,wt=15): 8315 K((x \ y) \ 1,T(z,y)) = K(x / y,z). [hyper(255,a,6707,a,b,8254,a(flip)),flip(a)]. given #7169 (H,wt=15): 8333 K(x,T(y,z * K(u,x))) = K(x,T(y,z)). [para(8276(a,1),8063(a,1,2,2)),flip(a)]. given #7170 (H,wt=15): 8360 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(129(a,1),8358(a,1,2,2)),flip(a)]. given #7171 (H,wt=13): 8423 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(255,a,7797,a(flip),b,8360,a)]. given #7172 (H,wt=15): 8361 K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). [hyper(255,a,8100,a(flip),b,8127,a)]. given #7173 (H,wt=15): 8362 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(255,a,8100,a(flip),b,8128,a)]. given #7174 (H,wt=14): 8427 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(8362(a,1),6642(a,1,3))]. given #7175 (H,wt=15): 8370 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(255,a,7539,a(flip),b,8133,a(flip)),flip(a)]. given #7176 (H,wt=15): 8373 K(x,K(T(y,z),u)) = K(y,K(u,T(x,z))). [hyper(8122,a,8146,a)]. given #7177 (H,wt=15): 8375 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(255,a,8134,a,b,8149,a)]. given #7178 (H,wt=15): 8376 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(2081,a,8159,a)]. given #7179 (H,wt=15): 8382 T(K(x,y) \ z,K(x,y)) = z * K(y,x). [hyper(519,a,8195,a),flip(a)]. given #7180 (H,wt=15): 8386 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(255,a,8201,a,b,8209,a),flip(a)]. given #7181 (H,wt=15): 8397 K(x,K(y / z,y)) = K(x,K(z,z \ y)). [hyper(8183,a,8222,a),flip(a)]. given #7182 (H,wt=13): 8435 K(x,K(y / z,y)) = K(x,K(z,y)). [hyper(255,a,8190,a(flip),b,8397,a)]. given #7183 (H,wt=13): 8436 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(70(a,1),8435(a,1,2,1)),flip(a)]. given #7184 (H,wt=13): 8437 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(8183,a,8436,a)]. given #7185 (H,wt=13): 8438 K(x,K(y,z \ y)) = K(x,K(y,z)). [hyper(255,a,8154,a,b,8437,a)]. given #7186 (H,wt=13): 8439 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(255,a,8189,a,b,8437,a(flip)),flip(a)]. given #7187 (H,wt=13): 8440 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(255,a,8189,a,b,8438,a(flip)),flip(a)]. given #7188 (H,wt=13): 8441 K(x,K(y,y / z)) = K(x,K(y,z)). [para(73(a,1),8438(a,1,2,2)),flip(a)]. given #7189 (H,wt=13): 8442 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(8183,a,8439,a)]. given #7190 (H,wt=13): 8443 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(8156,a,8439,a)]. given #7191 (H,wt=13): 8444 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(255,a,8134,a,b,8439,a)]. given #7192 (H,wt=13): 8448 K(x,K(y \ 1,z)) = K(z,K(x,y)). [hyper(8176,a,8440,a)]. given #7193 (H,wt=13): 8449 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(8156,a,8440,a)]. given #7194 (H,wt=13): 8450 K(x,K(y,1 / z)) = K(x,K(y,z)). [para(73(a,1),8440(a,1,2,2)),flip(a)]. given #7195 (H,wt=13): 8455 K(x,K(y,y / z)) = K(y,K(x,z)). [hyper(255,a,8134,a,b,8441,a)]. given #7196 (H,wt=13): 8456 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(255,a,8134,a,b,8442,a)]. given #7197 (H,wt=13): 8459 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(255,a,8134,a,b,8443,a)]. given #7198 (H,wt=13): 8461 K(1 / x,K(y,z)) = K(y,K(z,x)). [para(73(a,1),8444(a,1,2,2)),flip(a)]. given #7199 (H,wt=13): 8462 K(x,K(y,1 / z)) = K(z,K(x,y)). [para(3707(a,2),8444(a,1,2))]. given #7200 (H,wt=13): 8466 K(x,K(x / y,z)) = K(x,K(z,y)). [hyper(8176,a,8455,a)]. given #7201 (H,wt=13): 8470 K(x,K(x / y,z)) = K(x,K(y,z)). [hyper(255,a,8154,a,b,8466,a)]. given #7202 (H,wt=13): 8471 K(x,K(y,z \ x)) = K(x,K(z,y)). [para(70(a,1),8466(a,1,2,1)),flip(a)]. given #7203 (H,wt=13): 8473 K(x / y,K(x,z)) = K(x,K(y,z)). [hyper(8136,a,8470,a)]. given #7204 (H,wt=15): 8399 K(1 / T(T(x,y),y),z) = K(1 / x,z). [hyper(255,a,5969,a,b,8240,a(flip)),flip(a)]. given #7205 (H,wt=15): 8400 K(x,1 / T(T(y,z),z)) = K(x,1 / y). [hyper(6178,a,8241,a)]. given #7206 (H,wt=15): 8403 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(255,a,5853,a,b,8249,a)]. given #7207 (H,wt=11): 8479 T(x,T(T(y,z),z)) = T(x,y). [hyper(22,a,7787,a,b,8403,a(flip)),flip(a)]. given #7208 (H,wt=13): 8481 T(x,T(y \ z,y)) = T(x,z / y). [para(129(a,1),8479(a,1,2,1))]. given #7209 (H,wt=13): 8482 T(x,(y * z) / y) = T(x,T(z,y)). [para(166(a,1),8479(a,1,2,1)),flip(a)]. given #7210 (H,wt=13): 8484 T(x,y * K(z,y)) = T(x,T(y,z)). [para(5216(a,1),8479(a,1,2,1)),flip(a)]. given #7211 (H,wt=13): 8488 T(x / y,(x * y) / x) = y \ x. [hyper(255,a,4117,a(flip),b,8482,a)]. given #7212 (H,wt=14): 8485 T(x,y) != z | T(x,T(y,T(x,u))) = z. [para(8479(a,1),5643(a,1))]. given #7213 (H,wt=14): 8487 T(x,y / x) != z | T(x,x \ y) = z. [para(8481(a,1),5718(a,1))]. given #7214 (H,wt=15): 8411 K(x,T(1 / (y \ z),y)) = K(x,y / z). [hyper(255,a,3710,a,b,8288,a(flip)),flip(a)]. given #7215 (H,wt=15): 8412 K(x,((y \ z) * y) \ y) = K(x,y / z). [hyper(255,a,7778,a(flip),b,8288,a(flip)),flip(a)]. given #7216 (H,wt=15): 8413 K(x,T(y \ 1,z)) = K(x,z / (z * y)). [para(18(a,1),8288(a,1,2,1,1))]. given #7217 (H,wt=15): 8424 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(70(a,1),8423(a,1,2,2)),flip(a)]. given #7218 (H,wt=15): 8425 K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). [hyper(8136,a,8361,a)]. given #7219 (H,wt=15): 8426 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5608(a,1),8362(a,1,1)),flip(a)]. given #7220 (H,wt=15): 8428 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(8235(a,1),8362(a,1,1))]. given #7221 (H,wt=15): 8432 K(x,K(y,z * K(u,x))) = K(x,K(y,z)). [para(8276(a,1),8375(a,1,2,2)),flip(a)]. given #7222 (H,wt=15): 8434 x \ T(y,K(z,x)) = T(x \ y,K(z,x)). [hyper(5047,a,8386,a)]. given #7223 (H,wt=15): 8445 K(x,K(y,z / (u * z))) = K(x,K(u,y)). [para(5782(a,2),8439(a,1,2))]. given #7224 (H,wt=15): 8446 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6580(a,1),8439(a,1,2)),flip(a)]. given #7225 (H,wt=15): 8451 T(x,K(y,z \ 1)) = x * K(x,K(y,z)). [para(8440(a,1),5252(a,2,2))]. given #7226 (H,wt=13): 8505 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(255,a,5252,a,b,8451,a)]. given #7227 (H,wt=13): 8506 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(255,a,8172,a(flip),b,8451,a)]. given #7228 (H,wt=13): 8507 T(x,K(y \ 1,z)) = T(x,K(z,y)). [hyper(8214,a,8505,a)]. given #7229 (H,wt=15): 8452 K(x,K(y,z / (u * z))) = K(x,K(y,u)). [para(5782(a,2),8440(a,1,2))]. given #7230 (H,wt=15): 8453 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5786(a,1),8440(a,1,2))]. given #7231 (H,wt=15): 8460 T(1 / x,K(y,z)) = K(y,K(x,z)) / x. [hyper(81,a,8443,a(flip),b,5312,a),flip(a)]. given #7232 (H,wt=15): 8474 T(x,K(y,z \ x)) = x * K(x,K(z,y)). [para(8471(a,1),5252(a,2,2))]. given #7233 (H,wt=13): 8514 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(255,a,8172,a(flip),b,8474,a)]. given #7234 (H,wt=13): 8515 T(x,K(y,x / z)) = T(x,K(y,z)). [para(73(a,1),8514(a,1,2,2)),flip(a)]. given #7235 (H,wt=15): 8486 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(8479(a,1),8095(a,2,2))]. given #7236 (H,wt=15): 8492 T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). [hyper(255,a,4889,a,b,8484,a(flip)),flip(a)]. given #7237 (H,wt=15): 8495 K(x,T(1 / y,z)) = K(x,z / (z * y)). [para(18(a,1),8411(a,1,2,1,2))]. given #7238 (H,wt=15): 8496 K(x,y \ T(z,z \ y)) = K(x,z / y). [para(6064(a,1),8412(a,1,2))]. given #7239 (H,wt=15): 8497 K(x,y / (y * z)) = K(x,y \ (z \ y)). [hyper(255,a,7942,a(flip),b,8413,a(flip))]. given #7240 (H,wt=15): 8501 T(x \ K(x,y),K(z,x)) = x \ K(x,y). [para(2074(a,1),8434(a,1,2)),flip(a)]. given #7241 (H,wt=15): 8508 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(255,a,7852,a(flip),b,8505,a(flip))]. given #7242 (H,wt=13): 8524 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(255,a,7852,a(flip),b,8508,a(flip))]. given #7243 (H,wt=15): 8511 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(6580(a,1),8506(a,1,2)),flip(a)]. given #7244 (H,wt=13): 8526 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(255,a,8367,a(flip),b,8511,a)]. given #7245 (H,wt=13): 8527 T(x,K(y,y / z)) = T(x,K(z,y)). [para(73(a,1),8526(a,1,2,1)),flip(a)]. given #7246 (H,wt=15): 8513 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). [hyper(255,a,8174,a(flip),b,8460,a),flip(a)]. given #7247 (H,wt=15): 8518 T(x,T(y,z)) * T(z,x) = z * T(x,y). [hyper(5936,a,8486,a)]. given #7248 (H,wt=15): 8519 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(81,a,8486,a(flip),b,5538,a(flip))]. given #7249 (H,wt=15): 8522 K(x,(y / z) / y) = K(x,y \ (z \ y)). [para(564(a,1),8496(a,1,2,2)),flip(a)]. given #7250 (H,wt=15): 8525 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(255,a,5252,a(flip),b,8524,a)]. given #7251 (H,wt=13): 8535 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(5323,a,8525,a)]. given #7252 (H,wt=13): 8540 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(255,a,7883,a(flip),b,8535,a(flip)),flip(a)]. given #7253 (H,wt=13): 8542 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(255,a,7536,a(flip),b,8535,a(flip)),flip(a)]. given #7254 (H,wt=13): 8543 K(x,T(y,1 / z)) = K(x,T(y,z)). [para(73(a,1),8535(a,1,2,2)),flip(a)]. given #7255 (H,wt=15): 8534 K(x,(y / z) / y) = K(x,y / (y * z)). [hyper(255,a,8497,a,b,8522,a)]. given #7256 (H,wt=15): 8539 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(255,a,7884,a(flip),b,8535,a(flip)),flip(a)]. given #7257 (H,wt=15): 8541 K(x,T(y * z,z)) = K(x,T(y * z,y)). [hyper(255,a,7541,a(flip),b,8535,a(flip)),flip(a)]. given #7258 (H,wt=15): 8544 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6850(a,1),8535(a,1,2))]. given #7259 (H,wt=15): 8549 K(x \ y,T(z,y \ x)) = K(x \ y,z). [hyper(5403,a,8544,a),flip(a)]. given #7260 (H,wt=16): 8108 x * K(y,K(z,x)) != u | T(x,K(z,y)) = u. [para(8099(a,1),5255(a,1,2))]. given #7261 (H,wt=16): 8109 K(x,K(y,z)) * z != u | T(z,K(y,x)) = u. [para(8099(a,1),5264(a,1,1))]. given #7262 (H,wt=16): 8142 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(8134(a,1),5255(a,1,2))]. given #7263 (H,wt=16): 8147 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(7728(a,1),8134(a,1,2)),flip(a)]. given #7264 (H,wt=16): 8162 K(x,K(y,z)) * y != u | T(y,K(z,x)) = u. [para(8138(a,1),5264(a,1,1))]. given #7265 (H,wt=16): 8163 K(x,K(y,z)) * z != u | T(z,K(x,y)) = u. [para(8138(a,2),5264(a,1,1))]. given #7266 (H,wt=16): 8184 x * K(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(8154(a,1),5255(a,1,2))]. given #7267 (H,wt=16): 8215 T(x,K(y,z)) != u * x | K(y,K(z,x)) = u. [para(8151(a,1),25(a,1))]. given #7268 (H,wt=16): 8221 1 != x | K(y,K(z,u)) * K(y,K(z,u)) = x. [para(8178(a,1),6109(a,1))]. given #7269 (H,wt=16): 8247 x * K(y,z) != u * x | K(y,T(z,x)) = u. [para(8231(a,1),174(a,1,2)),flip(b)]. given #7270 (H,wt=16): 8251 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(255,a,7885,a(flip),b,8236,a(flip))]. given #7271 (H,wt=16): 8275 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(7514(a,1),8242(a,1,1))]. given #7272 (H,wt=14): 8553 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(255,a,8269,a(flip),b,8275,a)]. given #7273 (H,wt=16): 8290 K(x,T(y,z)) * z != z * u | K(x,y) = u. [para(8235(a,2),24(a,1))]. given #7274 (H,wt=16): 8338 K(x,y / (y / z)) != u | K(T(x,y),z) = u. [para(8308(a,2),7658(a,1))]. given #7275 (H,wt=16): 8340 K(x * y,K(y,z)) != u | K(z,K(y,x)) = u. [para(7783(a,2),8122(a,1))]. given #7276 (H,wt=16): 8341 K(x * y,K(y,z)) != u | K(x,K(y,z)) = u. [para(8098(a,2),8122(a,1))]. given #7277 (H,wt=16): 8344 K(x,K(y,x \ z)) != u | K(x,K(z,y)) = u. [para(8160(a,2),8136(a,1))]. given #7278 (H,wt=16): 8347 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(8101(a,2),8183(a,1))]. given #7279 (H,wt=16): 8350 T(K(x,y),(z * y) \ z) != u | K(x,y) = u. [para(6854(a,2),8277(a,1))]. given #7280 (H,wt=16): 8359 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(8116(a,1),8041(a,1,2))]. given #7281 (H,wt=16): 8407 T(K(x \ y,z),x) != u | K(y / x,z) = u. [para(8279(a,2),6146(a,1))]. given #7282 (H,wt=16): 8447 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(8439(a,2),8183(a,1))]. given #7283 (H,wt=16): 8465 K(x,K(y,1 / z)) != u | K(z,K(x,y)) = u. [para(8450(a,2),8156(a,1))]. given #7284 (H,wt=16): 8468 K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. [para(8461(a,2),8183(a,1))]. given #7285 (H,wt=16): 8469 K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. [para(8462(a,2),8176(a,1))]. given #7286 (H,wt=16): 8472 K(x,K(x / y,z)) != u | K(x,K(y,z)) = u. [para(8466(a,2),8183(a,1))]. given #7287 (H,wt=16): 8475 K(x,K(y,z)) != u | K(x,K(x / y,z)) = u. [para(8473(a,1),8136(a,1))]. given #7288 (H,wt=16): 8536 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(8525(a,2),5255(a,1))]. given #7289 (H,wt=16): 8551 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(8544(a,1),7900(a,1))]. given #7290 (H,wt=16): 8552 T(x,K(y,x \ z)) != u | T(x,K(y,z)) = u. [para(8220(a,2),8162(a,1))]. given #7291 (H,wt=16): 8555 K(T(x,y \ z),y) != u | K(T(x,z),y) = u. [para(8268(a,2),8338(a,1))]. given #7292 (H,wt=16): 8556 K(x * y,K(x,z)) != u | K(y,K(x,z)) = u. [para(6301(a,1),8341(a,1))]. given #7293 (H,wt=16): 8559 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(7522(a,2),8407(a,1))]. given #7294 (H,wt=16): 8560 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(7539(a,2),8407(a,1))]. given #7295 (H,wt=16): 8563 K(x / y,K(x,z)) != u | K(x,K(y,z)) = u. [para(8134(a,1),8472(a,1))]. given #7296 (H,wt=16): 8564 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(8508(a,2),8536(a,1))]. given #7297 (H,wt=16): 8565 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(7883(a,2),8551(a,1))]. given #7298 (H,wt=16): 8568 T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. [para(43(a,1),8564(a,1))]. given #7299 (H,wt=17): 7935 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(255,a,7424,a(flip),b,7690,a)]. given #7300 (H,wt=17): 7937 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(7110,a,7760,a)]. given #7301 (H,wt=17): 7941 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(7002(a,1),7777(a,1,2))]. given #7302 (H,wt=17): 7945 x * K(x,y \ (z \ y)) = T(x,(z * y) \ y). [para(7943(a,1),5252(a,2,2)),flip(a)]. given #7303 (H,wt=15): 8576 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(5255,a,7945,a),flip(a)]. given #7304 (H,wt=15): 8577 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(255,a,7792,a,b,8576,a(flip)),flip(a)]. given #7305 (H,wt=15): 8578 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(255,a,6857,a,b,8576,a(flip)),flip(a)]. given #7306 (H,wt=15): 8579 T(x,T((y / z) \ 1,y)) = T(x,y \ z). [para(73(a,1),8577(a,2,2,2))]. given #7307 (H,wt=17): 8028 K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). [para(7828(a,2),8002(a,1,2))]. given #7308 (H,wt=17): 8053 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(5175(a,1),8041(a,1,2))]. given #7309 (H,wt=17): 8057 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(263(a,1),8047(a,1,1))]. given #7310 (H,wt=17): 8059 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(5175(a,1),8050(a,1,1))]. given #7311 (H,wt=17): 8068 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(5226(a,1),8021(a,1,1)),flip(a)]. given #7312 (H,wt=17): 8073 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(6718(a,1),8048(a,1,1,2))]. given #7313 (H,wt=17): 8074 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(6967(a,1),8048(a,1,1,2)),flip(a)]. given #7314 (H,wt=17): 8077 K(K(x,T(y,z)) * u,z) = K(K(x,y) * u,z). [para(7548(a,1),8049(a,1,1,1))]. given #7315 (H,wt=17): 8103 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [para(8099(a,1),104(a,1,2))]. given #7316 (H,wt=12): 8585 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(3513,a,8103,a),flip(a)]. given #7317 (H,wt=10): 8586 K(x,K(y,R(x,z,u))) = 1. [para(126(a,1),8585(a,1,2,2,1))]. given #7318 (H,wt=10): 8587 T(x,K(y,R(x,z,u))) = x. [hyper(42,a,8586,a)]. given #7319 (H,wt=14): 8588 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(8587(a,1),43(a,1,1)),flip(a)]. given #7320 (H,wt=17): 8155 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(8137(a,1),5175(a,1,1))]. given #7321 (H,wt=17): 8179 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(8153(a,1),5560(a,1,1))]. given #7322 (H,wt=17): 8194 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [hyper(6947,a,8193,a),flip(a)]. given #7323 (H,wt=17): 8224 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(8200(a,1),6102(a,1,1))]. given #7324 (H,wt=17): 8228 (x * T(x \ y,z)) / y = T(K(x \ y,z),y). [hyper(81,a,6643,a,b,8212,a)]. given #7325 (H,wt=16): 8592 T(K(x \ y,z),y) != u | K(y / x,z) = u. [para(8228(a,1),5493(a,1))]. given #7326 (H,wt=16): 8593 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(7539(a,2),8592(a,1))]. given #7327 (H,wt=17): 8250 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [hyper(255,a,7583,a,b,8236,a(flip)),flip(a)]. given #7328 (H,wt=17): 8259 K(K(x,y) * z,T(u,z)) = K(z * K(x,y),u). [hyper(255,a,7621,a(flip),b,8242,a(flip)),flip(a)]. given #7329 (H,wt=17): 8260 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(45(a,2),8242(a,1,1))]. given #7330 (H,wt=17): 8261 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(45(a,2),8242(a,1,2))]. given #7331 (H,wt=17): 8262 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(47(a,2),8242(a,1,2))]. given #7332 (H,wt=17): 8271 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(8242(a,1),5681(a,1,1)),flip(a)]. given #7333 (H,wt=17): 8280 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [hyper(255,a,7558,a,b,8229,a(flip)),flip(a)]. given #7334 (H,wt=17): 8281 K((x * y) \ z,T(x,y)) = K(z / (x * y),x). [hyper(255,a,6951,a(flip),b,8229,a(flip)),flip(a)]. given #7335 (H,wt=17): 8283 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(255,a,6951,a(flip),b,8230,a(flip)),flip(a)]. given #7336 (H,wt=17): 8287 K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). [hyper(23,a,6121,a,b,8235,a)]. given #7337 (H,wt=17): 8294 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(6956(a,1),8235(a,1,1))]. given #7338 (H,wt=15): 8604 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(255,a,6718,a(flip),b,8294,a)]. given #7339 (H,wt=15): 8606 K(x,T(y,z)) * (z / y) = z / T(y,x). [para(7539(a,2),8604(a,1,1))]. given #7340 (H,wt=17): 8298 K(x \ (y \ z),T(y,z)) = K((y \ z) / x,y). [hyper(7534,a,8243,a)]. given #7341 (H,wt=17): 8305 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [hyper(7914,a,8252,a)]. given #7342 (H,wt=17): 8307 K(x,T(y \ (x * z),z)) = K(x,(x * z) / y). [hyper(255,a,7683,a(flip),b,8252,a(flip)),flip(a)]. given #7343 (H,wt=17): 8313 K(T(x,x * y) * y,z) = K(x * y,T(z,x)). [para(4124(a,1),8253(a,1,1))]. given #7344 (H,wt=17): 8314 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(4148(a,1),8253(a,1,1))]. given #7345 (H,wt=17): 8332 K(x * T(y,z),T(y,u)) = K(x * y,T(y,u)). [para(8270(a,1),8048(a,1,1,2))]. given #7346 (H,wt=17): 8365 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(8363(a,1),8208(a,1,1))]. given #7347 (H,wt=17): 8369 T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). [hyper(40,a,8366,a)]. given #7348 (H,wt=17): 8377 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(7879(a,1),8169(a,2,2))]. given #7349 (H,wt=17): 8378 T(x,K(y,z)) * K(y,x) = x * K(y,T(x,z)). [para(8170(a,1),5220(a,1,2)),flip(a)]. given #7350 (H,wt=17): 8394 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(8392(a,1),43(a,1,1)),flip(a)]. given #7351 (H,wt=15): 8613 T(T(x,y),K(z,x * y)) = T(x,T(y,z)). [hyper(255,a,7855,a(flip),b,8394,a)]. given #7352 (H,wt=17): 8395 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(8392(a,1),8208(a,1,1))]. given #7353 (H,wt=17): 8406 K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). [para(37(a,2),8279(a,1,1,1)),flip(a)]. given #7354 (H,wt=17): 8421 K((x \ y) \ 1,T(z,y)) = K((y / x) \ 1,z). [hyper(255,a,5998,a,b,8315,a)]. given #7355 (H,wt=17): 8429 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(7345,a,8427,a)]. given #7356 (H,wt=17): 8430 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(255,a,8219,a(flip),b,8373,a(flip))]. given #7357 (H,wt=17): 8454 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(8440(a,1),8112(a,1,2))]. given #7358 (H,wt=13): 8618 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(255,a,8112,a(flip),b,8454,a(flip))]. given #7359 (H,wt=16): 8620 T(K(x,y),z) != u | K(T(x,z \ 1),y) = u. [para(8618(a,1),7698(a,1))]. given #7360 (H,wt=16): 8621 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(8618(a,1),7871(a,1))]. given #7361 (H,wt=17): 8476 T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). [para(8399(a,1),5197(a,2,2))]. given #7362 (H,wt=15): 8625 T(x,1 / T(T(y,z),z)) = T(x,1 / y). [hyper(255,a,5197,a,b,8476,a)]. given #7363 (H,wt=17): 8477 K(x,1 / ((y * z) / y)) = K(x,1 / T(z,y)). [para(166(a,1),8400(a,1,2,2,1)),flip(a)]. given #7364 (H,wt=15): 8627 K(x,K(y,z) / y) = K(x,1 / T(y,z)). [para(5362(a,2),8477(a,1,2))]. given #7365 (H,wt=17): 8483 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(185(a,1),8479(a,1,2,1))]. given #7366 (H,wt=17): 8493 T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). [para(2573(a,1),8484(a,1,2))]. given #7367 (H,wt=17): 8494 K(x \ y,T(z,(y * x) / y)) = K(y / x,z). [para(8488(a,1),8242(a,1,1))]. given #7368 (H,wt=17): 8498 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(8424(a,1),7861(a,1,2))]. given #7369 (H,wt=17): 8510 T(T(x,K(y,z)),z \ 1) = T(x,T(z \ 1,y)). [para(8505(a,1),8208(a,1,1))]. given #7370 (H,wt=17): 8523 T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). [para(8501(a,1),8208(a,1,1)),flip(a)]. given #7371 (H,wt=17): 8545 (x \ 1) * K(y,T(z,x)) = K(y,z) * (x \ 1). [para(8535(a,1),7559(a,1,2))]. given #7372 (H,wt=17): 8572 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(255,a,6039,a(flip),b,7937,a(flip))]. given #7373 (H,wt=17): 8574 K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). [para(8082(a,1),7941(a,1,2)),flip(a)]. given #7374 (H,wt=17): 8575 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(8089(a,2),7941(a,1,2))]. given #7375 (H,wt=17): 8582 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [para(8579(a,1),8225(a,1,1)),flip(a)]. given #7376 (H,wt=17): 8589 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(6673(a,2),8155(a,1,2))]. given #7377 (H,wt=17): 8599 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(8403(a,1),8271(a,1,1))]. given #7378 (H,wt=17): 8600 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [hyper(255,a,8549,a(flip),b,8280,a(flip))]. given #7379 (H,wt=15): 8640 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(255,a,8254,a(flip),b,8600,a)]. given #7380 (H,wt=17): 8601 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(255,a,7216,a(flip),b,8283,a)]. given #7381 (H,wt=17): 8605 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(6105(a,1),8604(a,1,1))]. given #7382 (H,wt=17): 8608 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(255,a,6390,a(flip),b,8307,a)]. given #7383 (H,wt=17): 8615 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(5830,a,8395,a)]. given #7384 (H,wt=17): 8616 K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,x)). [para(73(a,1),8421(a,1,1,1)),flip(a)]. given #7385 (H,wt=17): 8626 T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). [para(129(a,1),8625(a,1,2,2,1))]. given #7386 (H,wt=17): 8628 K(x,K(1 / y,z) / (1 / y)) = T(K(x,y),z). [hyper(255,a,5980,a(flip),b,8627,a)]. given #7387 (H,wt=17): 8630 K(x \ y,T(z,x * K(y,x))) = K(y / x,z). [para(5217(a,1),8494(a,1,2,2))]. given #7388 (H,wt=17): 8635 K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). [hyper(255,a,7819,a(flip),b,8572,a(flip))]. given #7389 (H,wt=17): 8636 K(x,T(y,(y * z) \ u)) = K(x,T(y,z \ u)). [para(7518(a,2),8574(a,1,2))]. given #7390 (H,wt=17): 8645 K(x,1 / (K(y,z \ 1) / z)) = T(K(x,z),y). [para(5701(a,1),8628(a,1,2))]. given #7391 (H,wt=15): 8648 K(x,y * K(y \ 1,z)) = T(K(x,y),z). [hyper(255,a,6704,a(flip),b,8645,a(flip)),flip(a)]. given #7392 (H,wt=15): 8649 K(x,y * K(1 / y,z)) = T(K(x,y),z). [para(3309(a,2),8648(a,1,2,2))]. given #7393 (H,wt=16): 8650 T(K(x \ 1,x),y) != z | K(x \ 1,x) = z. [para(8648(a,1),7984(a,1))]. given #7394 (H,wt=17): 8647 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(7900,a,8636,a),flip(a)]. given #7395 (H,wt=17): 8652 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [hyper(255,a,6408,a,b,8647,a)]. given #7396 (H,wt=17): 8653 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(255,a,6408,a,b,8652,a(flip)),flip(a)]. given #7397 (H,wt=17): 8654 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(18(a,1),8653(a,1,2,2)),flip(a)]. given #7398 (H,wt=18): 7440 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(7428(a,1),7046(a,1,1)),flip(a)]. given #7399 (H,wt=16): 8655 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(255,a,7046,a(flip),b,7440,a)]. given #7400 (H,wt=18): 7531 T(x,y \ T(x,z)) != u | T(x,T(x,z) / y) = u. [para(7473(a,1),5643(a,1))]. given #7401 (H,wt=18): 7600 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7542(a,1),5623(a,1,1))]. given #7402 (H,wt=18): 7606 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7542(a,1),6674(a,1,2))]. given #7403 (H,wt=18): 7607 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7542(a,1),6677(a,1,2))]. given #7404 (H,wt=18): 7608 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(7542(a,1),6693(a,1,1,2))]. given #7405 (H,wt=18): 7676 (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). [hyper(255,a,5727,a,b,7671,a(flip)),flip(a)]. given #7406 (H,wt=18): 7694 K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. [para(2229(a,1),7532(a,1,2))]. given #7407 (H,wt=18): 7756 L(R(K(x,y),z,u),w,K(v5,x)) = R(K(x,y),z,u). [para(7752(a,1),49(a,1,1)),flip(a)]. given #7408 (H,wt=18): 7758 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(50(a,1),7755(a,1,2))]. given #7409 (H,wt=18): 7779 K(x,T(y \ 1,z)) != u | K(x,(y * z) \ z) = u. [para(7550(a,1),6896(a,1))]. given #7410 (H,wt=18): 7789 x * K(x \ y,z) != u * x | K(y / x,z) = u. [para(7626(a,1),25(a,1))]. given #7411 (H,wt=18): 7804 L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). [hyper(7063,a,7703,a)]. given #7412 (H,wt=18): 7806 K(x,y \ (x \ (y * (x * z)))) = K(x,L(z,x,y)). [para(33(a,2),7703(a,1,2)),flip(a)]. given #7413 (H,wt=18): 7807 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(114(a,2),7703(a,1,2))]. given #7414 (H,wt=18): 7821 T(T(x,y),z) != K(x,y) * u | T(x,T(z,y)) = u. [para(7787(a,1),24(a,1))]. given #7415 (H,wt=18): 7893 K(x,T(y,z \ 1)) != u | K(x,T(y,z \ y)) = u. [para(4409(a,1),7534(a,1,2))]. given #7416 (H,wt=18): 7897 K(x,T(y,z) \ 1) != u | K(x,T(y \ 1,z)) = u. [para(5971(a,2),7895(a,1))]. given #7417 (H,wt=18): 7901 T(T(K(x,y),z),u) != w | K(x,T(T(y,u),z)) = w. [para(7557(a,2),7895(a,1))]. given #7418 (H,wt=18): 7904 T(x,K(y,x \ z)) != u | T(x,K(y,z / x)) = u. [para(129(a,1),7565(a,1,2,2))]. given #7419 (H,wt=18): 7910 T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5). [para(6205(a,1),7908(a,1,2,1))]. given #7420 (H,wt=18): 7998 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(7988(a,1),5911(a,1,1))]. given #7421 (H,wt=16): 8664 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(255,a,6382,a(flip),b,7998,a(flip)),flip(a)]. given #7422 (H,wt=12): 8665 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(255,a,7988,a(flip),b,8664,a)]. given #7423 (H,wt=14): 8666 K(x,y * K(z,x)) != u | K(x,y) = u. [para(8664(a,1),7483(a,1))]. given #7424 (H,wt=14): 8669 K(x,y * x) != z | K(x,x * y) = z. [para(104(a,1),8666(a,1,2))]. given #7425 (H,wt=16): 8670 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(1560(a,1),8666(a,1,2))]. given #7426 (H,wt=16): 8672 K(x,y \ T(y * z,x)) != u | K(x,z) = u. [para(6018(a,2),8666(a,1,2))]. given #7427 (H,wt=17): 8674 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(7047(a,2),8669(a,1))]. given #7428 (H,wt=18): 8010 R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). [para(8007(a,1),4395(a,1,1))]. given #7429 (H,wt=16): 8675 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(255,a,7208,a(flip),b,8010,a(flip)),flip(a)]. given #7430 (H,wt=12): 8676 K(R(x,K(y,z),u),z) = K(x,z). [hyper(255,a,8007,a(flip),b,8675,a)]. given #7431 (H,wt=18): 8026 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(8017(a,1),6586(a,1,1))]. given #7432 (H,wt=16): 8679 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(255,a,7046,a(flip),b,8026,a(flip)),flip(a)]. given #7433 (H,wt=12): 8680 K(L(x,K(y,z),u),y) = K(x,y). [hyper(255,a,8017,a(flip),b,8679,a)]. given #7434 (H,wt=15): 8681 K(L(x,K(y,z),u),y) != w | K(x,y) = w. [para(8679(a,2),8069(a,1))]. given #7435 (H,wt=18): 8038 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(6886(a,1),7984(a,1,2))]. given #7436 (H,wt=18): 8039 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(7032(a,1),8037(a,1))]. given #7437 (H,wt=18): 8051 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(432(a,1),8035(a,1,2))]. given #7438 (H,wt=18): 8065 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(114(a,2),7981(a,1,2))]. given #7439 (H,wt=18): 8081 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(37(a,1),8044(a,1,1,2))]. given #7440 (H,wt=18): 8107 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(8099(a,1),5227(a,1,1))]. given #7441 (H,wt=18): 8120 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(8100(a,1),5255(a,1,2))]. given #7442 (H,wt=14): 8686 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(8115(a,1),8120(a,1))]. given #7443 (H,wt=16): 8688 K(x,T(y,y \ z)) != u | T(K(x,y),z) = u. [para(7486(a,2),8686(a,1))]. given #7444 (H,wt=16): 8689 K(x,y / z) != u | T(K(x,z \ y),z) = u. [para(8255(a,1),8686(a,1))]. given #7445 (H,wt=18): 8121 K(x,K(y,z)) * K(x,y) != u | T(K(x,y),z) = u. [para(8100(a,1),5264(a,1,1))]. given #7446 (H,wt=18): 8175 K(x,K(y,z)) / y != u | 1 / T(y,K(x,z)) = u. [para(8152(a,1),5364(a,1,1))]. given #7447 (H,wt=18): 8180 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(8153(a,1),5622(a,1,1))]. given #7448 (H,wt=18): 8181 K(x,K(y,z)) * u != w | K(x,K(y,z)) \ u = w. [para(8153(a,1),5712(a,1,1))]. given #7449 (H,wt=18): 8204 T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. [para(8193(a,1),5829(a,1,1))]. given #7450 (H,wt=18): 8205 T(T(x,y),K(z,u)) != w | T(T(x,K(u,z)),y) = w. [para(8193(a,1),5829(a,1))]. given #7451 (H,wt=18): 8210 K(x,y) * z != u * K(x,y) | T(z,K(x,y)) = u. [para(8198(a,1),174(a,1,2)),flip(b)]. given #7452 (H,wt=18): 8345 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7542(a,1),8183(a,1,2))]. given #7453 (H,wt=18): 8349 x * T(y,T(x,z)) != u | T(y * x,K(z,x)) = u. [para(6907(a,1),8214(a,1))]. given #7454 (H,wt=18): 8351 K(x,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = u. [para(8102(a,1),5623(a,1))]. given #7455 (H,wt=18): 8353 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(8112(a,2),7895(a,1))]. given #7456 (H,wt=18): 8356 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(8115(a,1),24(a,1))]. given #7457 (H,wt=18): 8372 K(x,y) * K(y,K(z,x)) != u | K(x,T(y,z)) = u. [para(8144(a,2),7895(a,1))]. given #7458 (H,wt=18): 8383 T(K(x,y) \ z,K(x,y)) != u | z * K(y,x) = u. [para(8195(a,1),519(a,1))]. given #7459 (H,wt=18): 8385 x * T(y,T(x,z)) != u | T(y * x,K(x,z)) = u. [para(8201(a,1),8214(a,1))]. given #7460 (H,wt=18): 8422 K(x,T(y,z * L(K(u,x),w,v5))) = K(x,T(y,z)). [para(6475(a,1),8333(a,1,2,2,2))]. given #7461 (H,wt=18): 8433 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(8376(a,1),6675(a,1,1)),flip(b)]. given #7462 (H,wt=18): 8502 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(8445(a,2),8183(a,1))]. given #7463 (H,wt=18): 8504 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(8446(a,1),8183(a,1))]. given #7464 (H,wt=18): 8512 K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. [para(8452(a,2),8183(a,1))]. given #7465 (H,wt=18): 8530 (x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u. [para(8518(a,1),304(a,1,1)),flip(b)]. given #7466 (H,wt=18): 8550 K(x \ y,T(z,y \ x)) != u | K(x \ y,z) = u. [para(8544(a,1),5403(a,1))]. given #7467 (H,wt=18): 8561 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(5786(a,1),8447(a,1,2))]. given #7468 (H,wt=18): 8566 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(4455(a,1),8559(a,1,1))]. given #7469 (H,wt=18): 8569 T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. [para(8505(a,1),8564(a,1))]. given #7470 (H,wt=18): 8570 K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. [para(4661(a,1),8565(a,1,2))]. given #7471 (H,wt=18): 8571 K(x,T(y * z,z)) != u | K(x,T(y * z,y)) = u. [para(7541(a,1),8565(a,1))]. given #7472 (H,wt=18): 8595 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(8250(a,1),8050(a,1,1,1))]. given #7473 (H,wt=18): 8657 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(5600(a,1),7600(a,1))]. given #7474 (H,wt=18): 8663 T(K(x,T(y,z)),u) != w | K(x,T(T(y,u),z)) = w. [para(7539(a,2),7901(a,1,1))]. given #7475 (H,wt=18): 8668 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(51(a,1),8665(a,1,2))]. given #7476 (H,wt=18): 8678 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(51(a,1),8676(a,1,1))]. given #7477 (H,wt=18): 8684 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(7759(a,2),8081(a,1))]. given #7478 (H,wt=18): 8685 K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. [para(7761(a,1),8081(a,1))]. given #7479 (H,wt=18): 8694 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(7522(a,1),8657(a,1,1))]. given #7480 (H,wt=18): 8695 K(x \ (y * z),z) != u | K((x / z) \ y,z) = u. [para(21(a,1),8684(a,1,1,1))]. given #7481 (H,wt=18): 8697 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(7846(a,1),8684(a,1))]. given #7482 (H,wt=19): 7419 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(7412(a,1),459(a,1,1,1)),flip(a)]. given #7483 (H,wt=12): 8700 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(422,a,7419,a)]. given #7484 (H,wt=12): 8702 K(x,L(y,z,T(x,u))) = K(x,y). [hyper(255,a,7009,a(flip),b,8700,a(flip)),flip(a)]. given #7485 (H,wt=16): 8703 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [para(45(a,1),8702(a,1,2))]. given #7486 (H,wt=19): 7422 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(7412(a,1),7209(a,1,1,1)),flip(a)]. given #7487 (H,wt=19): 7437 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(677(a,1),7428(a,1,2)),flip(a)]. given #7488 (H,wt=17): 8704 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(255,a,8252,a(flip),b,7437,a(flip))]. given #7489 (H,wt=15): 8705 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(255,a,8608,a(flip),b,8704,a(flip))]. given #7490 (H,wt=15): 8706 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(255,a,8307,a(flip),b,8704,a(flip)),flip(a)]. given #7491 (H,wt=15): 8709 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(255,a,8066,a,b,8705,a(flip)),flip(a)]. given #7492 (H,wt=15): 8710 K(x,((x * y) / z) \ x) = K(x,z / y). [para(18(a,1),8705(a,1,2,2)),flip(a)]. given #7493 (H,wt=15): 8712 K(x,(y * x) / z) = K(x,(x * y) / z). [hyper(255,a,8066,a,b,8706,a),flip(a)]. given #7494 (H,wt=15): 8713 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(19(a,1),8706(a,1,2,1)),flip(a)]. given #7495 (H,wt=15): 8717 K(x,(y \ (x * z)) / z) = K(x,y \ x). [para(70(a,1),8710(a,1,2,1)),flip(a)]. given #7496 (H,wt=15): 8720 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(8038,a,8713,a)]. given #7497 (H,wt=15): 8722 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(20(a,1),8720(a,1,2,2))]. given #7498 (H,wt=15): 8723 K(x,y / ((x \ z) * x)) = K(x,y / z). [hyper(255,a,8713,a(flip),b,8722,a(flip))]. given #7499 (H,wt=15): 8724 K(x,y / (z * x)) = K(x,y / (x * z)). [para(18(a,1),8723(a,1,2,2,1))]. given #7500 (H,wt=17): 8715 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [hyper(8689,a,8709,a)]. given #7501 (H,wt=17): 8716 K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). [hyper(255,a,8305,a,b,8709,a(flip)),flip(a)]. given #7502 (H,wt=17): 8718 x * K(x,(x * y) / z) = T(x,(y * x) / z). [para(8712(a,1),5252(a,2,2)),flip(a)]. given #7503 (H,wt=17): 8725 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(255,a,7395,a(flip),b,8724,a)]. given #7504 (H,wt=17): 8728 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(21(a,1),8725(a,1,2,2,1)),flip(a)]. given #7505 (H,wt=18): 8714 K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u. [para(8706(a,1),6392(a,1))]. given #7506 (H,wt=18): 8719 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(8712(a,2),6392(a,1))]. given #7507 (H,wt=18): 8726 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(123(a,2),8724(a,2,2)),flip(a)]. given #7508 (H,wt=18): 8731 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(255,a,5390,a(flip),b,8726,a(flip)),flip(a)]. given #7509 (H,wt=19): 7448 x * K(R(x,y,x),z) != u * w | u \ T(x,z) = w. [para(7432(a,2),5258(a,1,2))]. given #7510 (H,wt=19): 7449 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(7432(a,1),5592(a,1,1))]. given #7511 (H,wt=19): 7455 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(7442(a,1),5868(a,1,1)),flip(a)]. given #7512 (H,wt=19): 7465 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(7421(a,1),122(a,1,1)),flip(a)]. given #7513 (H,wt=19): 7481 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(80,a,7445,a(flip),b,7313,a),flip(a)]. given #7514 (H,wt=19): 7497 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(682(a,1),7489(a,1,2))]. given #7515 (H,wt=19): 7533 K(x,T(y \ 1,L(y,z,u))) != w | K(x,y \ 1) = w. [para(1732(a,1),7483(a,1,2))]. given #7516 (H,wt=19): 7547 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(255,a,6388,a,b,7539,a),flip(a)]. given #7517 (H,wt=19): 7566 K(x,y) * (K(z,u) * x) = T(x,y) * K(z,T(u,x)). [para(7539(a,2),5538(a,2,2))]. given #7518 (H,wt=19): 7568 K(x,T(y,K(z,u))) * K(u,z) = K(u,z) * K(x,y). [para(7539(a,2),6102(a,1,1))]. given #7519 (H,wt=19): 7570 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7539(a,2),6098(a,2,1))]. given #7520 (H,wt=19): 7574 K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). [para(7007(a,1),7539(a,2,1))]. given #7521 (H,wt=19): 7609 x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). [para(7542(a,1),6741(a,1,2,2))]. given #7522 (H,wt=15): 8737 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(255,a,7648,a(flip),b,7609,a(flip))]. given #7523 (H,wt=15): 8738 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(8479(a,1),8737(a,1,1,2))]. given #7524 (H,wt=19): 7632 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(6157,a,7530,a),flip(a)]. given #7525 (H,wt=19): 7652 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(45(a,2),7559(a,1,2,2))]. given #7526 (H,wt=19): 7680 K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). [para(6686(a,1),7598(a,1,2))]. given #7527 (H,wt=19): 7684 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(47(a,2),7659(a,1,2))]. given #7528 (H,wt=19): 7691 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [para(7418(a,1),379(a,1,1)),flip(a)]. given #7529 (H,wt=19): 7695 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(255,a,7032,a(flip),b,7615,a(flip))]. given #7530 (H,wt=19): 7704 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(255,a,6826,a,b,7424,a(flip)),flip(a)]. given #7531 (H,wt=19): 7706 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(7424(a,1),6906(a,2,2))]. given #7532 (H,wt=19): 7709 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(80,a,7434,a(flip),b,5550,a),flip(a)]. given #7533 (H,wt=19): 7727 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [hyper(255,a,7037,a(flip),b,7722,a(flip))]. given #7534 (H,wt=19): 7730 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(5629(a,1),7728(a,1,2)),flip(a)]. given #7535 (H,wt=19): 7754 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [para(7751(a,1),112(a,1,2))]. given #7536 (H,wt=19): 7762 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(7505(a,1),6773(a,1,2))]. given #7537 (H,wt=19): 7770 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(7764(a,1),459(a,1,1,1)),flip(a)]. given #7538 (H,wt=12): 8748 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(422,a,7770,a)]. given #7539 (H,wt=19): 7794 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(5216(a,1),7793(a,1,2,2,1))]. given #7540 (H,wt=19): 7805 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [hyper(255,a,6971,a,b,7703,a(flip)),flip(a)]. given #7541 (H,wt=19): 7810 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(7708(a,1),6307(a,1,1)),flip(a)]. given #7542 (H,wt=19): 7822 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(7539(a,2),7787(a,1,2,2))]. given #7543 (H,wt=19): 7829 K(x \ 1,y) * (x \ K(y,z)) = T(x \ K(y,z),y). [hyper(255,a,5525,a,b,7817,a(flip)),flip(a)]. given #7544 (H,wt=13): 8753 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(23,a,5263,a(flip),b,7829,a),flip(a)]. given #7545 (H,wt=16): 8757 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(6189(a,1),8753(a,1,1,2))]. given #7546 (H,wt=19): 7832 K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. [para(7817(a,1),6827(a,1,1,2)),flip(a)]. given #7547 (H,wt=15): 8760 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [hyper(255,a,6634,a(flip),b,7832,a)]. given #7548 (H,wt=15): 8763 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(6672(a,1),8760(a,1,2,1)),flip(a)]. given #7549 (H,wt=15): 8765 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7559(a,1),8760(a,1,2,1))]. given #7550 (H,wt=13): 8770 K(x,y \ T(x,z)) = K(x,y \ x). [hyper(255,a,7000,a(flip),b,8765,a(flip))]. given #7551 (H,wt=15): 8766 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7572(a,1),8760(a,1,2,1)),flip(a)]. given #7552 (H,wt=15): 8772 K(x,T(y,z) \ x) = K(x,T(y \ x,z)). [hyper(255,a,7577,a(flip),b,8770,a(flip))]. given #7553 (H,wt=15): 8774 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(255,a,7730,a(flip),b,8766,a(flip)),flip(a)]. given #7554 (H,wt=15): 8782 K(x,y \ (z * K(x,u))) = K(x,y \ z). [para(8235(a,1),8774(a,1,2,2))]. given #7555 (H,wt=15): 8783 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(8276(a,1),8774(a,1,2,2)),flip(a)]. given #7556 (H,wt=17): 8761 T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). [para(8760(a,1),5252(a,2,2))]. given #7557 (H,wt=15): 8788 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [hyper(255,a,5252,a,b,8761,a)]. given #7558 (H,wt=15): 8790 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [para(7559(a,1),8788(a,1,2,1))]. given #7559 (H,wt=13): 8792 T(x,y \ K(x,z)) = T(x,y \ 1). [hyper(255,a,6854,a(flip),b,8790,a(flip))]. given #7560 (H,wt=15): 8791 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(7572(a,1),8788(a,1,2,1)),flip(a)]. given #7561 (H,wt=17): 8775 K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). [hyper(255,a,7598,a(flip),b,8772,a)]. given #7562 (H,wt=17): 8779 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(5536(a,1),8774(a,1,2,2)),flip(a)]. given #7563 (H,wt=18): 8768 K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). [para(6475(a,1),8763(a,1,2,1,2))]. given #7564 (H,wt=18): 8787 K(x,y \ (z * L(K(u,x),w,v5))) = K(x,y \ z). [para(6475(a,1),8783(a,1,2,2,2))]. given #7565 (H,wt=19): 7851 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(5885(a,1),7838(a,1,1,1))]. given #7566 (H,wt=19): 7873 T(x,R(y \ 1,y,z)) != u | T(x,z / (y * z)) = u. [para(3435(a,2),7871(a,1,2))]. given #7567 (H,wt=18): 8799 T(x,x / (x * y)) != z | T(x,x / (y * x)) = z. [para(3443(a,1),7873(a,1))]. given #7568 (H,wt=19): 7912 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(114(a,1),7911(a,1,2))]. given #7569 (H,wt=15): 8800 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(255,a,8791,a(flip),b,7912,a(flip)),flip(a)]. given #7570 (H,wt=13): 8802 T(x,y \ T(x,z)) = T(x,y \ x). [para(5207(a,1),8800(a,1,2,2)),flip(a)]. given #7571 (H,wt=13): 8804 T(x,T(x,y) / z) = T(x,z \ x). [hyper(7531,a,8802,a)]. given #7572 (H,wt=13): 8806 T(x,(T(x,y) / z) \ x) = T(x,z). [para(73(a,1),8802(a,1,2)),flip(a)]. given #7573 (H,wt=15): 8805 T(x,T(y,z) \ x) = T(x,T(y \ x,z)). [hyper(255,a,7679,a(flip),b,8802,a(flip))]. given #7574 (H,wt=19): 7933 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [hyper(255,a,6194,a(flip),b,7686,a(flip))]. given #7575 (H,wt=19): 7940 T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). [para(7939(a,1),5291(a,2,2,2))]. given #7576 (H,wt=15): 8809 T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). [hyper(255,a,5291,a,b,7940,a)]. given #7577 (H,wt=15): 8810 T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). [para(18(a,1),8809(a,1,2,2,1)),flip(a)]. given #7578 (H,wt=15): 8812 T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). [hyper(255,a,7518,a(flip),b,8810,a(flip)),flip(a)]. given #7579 (H,wt=17): 8813 T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). [hyper(255,a,6854,a(flip),b,8812,a(flip))]. given #7580 (H,wt=19): 7946 T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). [hyper(172,a,7812,a,b,1078,a)]. given #7581 (H,wt=19): 8054 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5536(a,1),8041(a,1,2)),flip(a)]. given #7582 (H,wt=19): 8055 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(5592(a,1),8041(a,1,2))]. given #7583 (H,wt=19): 8072 K(x / y,z * (y * (x / y))) = K(x / y,z * x). [para(264(a,1),8040(a,1,2,2))]. given #7584 (H,wt=19): 8114 K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. [para(8099(a,1),6098(a,1,1))]. given #7585 (H,wt=19): 8123 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(8100(a,1),6476(a,2,1))]. given #7586 (H,wt=17): 8817 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(6483(a,1),8123(a,1,1)),flip(a)]. given #7587 (H,wt=19): 8124 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(8100(a,1),6618(a,1,2))]. given #7588 (H,wt=19): 8166 (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). [para(8138(a,2),6666(a,1,1,2))]. given #7589 (H,wt=19): 8191 K(x * y,x) * K(z,K(x,y)) = K(x * y,T(x,z)). [para(8131(a,1),7549(a,1,2))]. given #7590 (H,wt=19): 8203 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(8193(a,1),4519(a,1,2))]. given #7591 (H,wt=19): 8217 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(8158(a,1),7130(a,1,3)),flip(a)]. given #7592 (H,wt=15): 8819 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(255,a,8429,a(flip),b,8217,a)]. given #7593 (H,wt=19): 8237 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(8227(a,1),183(a,1,2,1)),flip(a)]. given #7594 (H,wt=19): 8238 R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). [para(8227(a,1),184(a,1,2,1)),flip(a)]. given #7595 (H,wt=19): 8239 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(8227(a,1),206(a,1,2,2,1))]. given #7596 (H,wt=17): 8822 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(5832,a,8239,a)]. given #7597 (H,wt=19): 8248 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(8231(a,1),184(a,1,2,1)),flip(a)]. given #7598 (H,wt=19): 8266 K(T(x,x * y) * y,z) = K(x * y,T(z,T(x,y))). [para(920(a,1),8242(a,1,1)),flip(a)]. given #7599 (H,wt=17): 8826 K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). [hyper(255,a,8313,a(flip),b,8266,a(flip))]. given #7600 (H,wt=19): 8285 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(7621(a,1),8234(a,1,1))]. given #7601 (H,wt=19): 8311 K(R((x * y) / x,z,u),w) = K(R(y,z,u),T(w,x)). [para(775(a,2),8253(a,1,1))]. given #7602 (H,wt=19): 8329 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(775(a,2),8264(a,1,2))]. given #7603 (H,wt=19): 8331 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(5307(a,1),8270(a,1,2,2)),flip(a)]. given #7604 (H,wt=19): 8354 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(8003(a,1),8112(a,1,2,2)),flip(a)]. given #7605 (H,wt=15): 8831 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(255,a,8112,a(flip),b,8354,a)]. given #7606 (H,wt=18): 8832 T(K(x,y),K(z,y) \ u) != w | T(K(x,y),u) = w. [para(8354(a,2),8120(a,1))]. given #7607 (H,wt=18): 8833 T(K(x,y),y * z) != u | T(K(x,y),z * y) = u. [para(5173(a,1),8832(a,1,2))]. given #7608 (H,wt=19): 8355 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7553(a,1),8113(a,1,1,2)),flip(a)]. given #7609 (H,wt=15): 8834 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(255,a,8113,a(flip),b,8355,a)]. given #7610 (H,wt=19): 8371 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7542(a,1),8144(a,1,2,2))]. given #7611 (H,wt=19): 8374 K(x,y) * K(y,K(z,T(x,u))) = K(x,T(y,T(z,u))). [para(7542(a,1),8148(a,1,2,2))]. given #7612 (H,wt=19): 8398 K(x \ (y \ z),y) * z = z * K(z / (y * x),y). [para(7505(a,1),8233(a,1,1))]. given #7613 (H,wt=19): 8402 K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,y \ x)). [para(4506(a,1),8244(a,1,1,1)),flip(a)]. given #7614 (H,wt=17): 8839 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [hyper(255,a,8616,a(flip),b,8402,a(flip))]. given #7615 (H,wt=19): 8409 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(7292,a,8282,a)]. given #7616 (H,wt=19): 8418 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(7053(a,1),8296(a,1,2,2)),flip(a)]. given #7617 (H,wt=19): 8419 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(7231(a,1),8296(a,1,2,2)),flip(a)]. given #7618 (H,wt=19): 8420 K(x,T(T(K(y,x) * z,u),w)) = K(x,T(T(z,u),w)). [para(7124(a,1),8297(a,1,2,1)),flip(a)]. given #7619 (H,wt=19): 8431 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(6053(a,1),8375(a,1,2,2)),flip(a)]. given #7620 (H,wt=19): 8458 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(6217(a,2),8442(a,1,2))]. given #7621 (H,wt=19): 8464 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(7107,a,8449,a)]. given #7622 (H,wt=17): 8843 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(8443(a,1),8464(a,1,1))]. given #7623 (H,wt=17): 8844 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(8449(a,1),8464(a,1,1))]. given #7624 (H,wt=17): 8845 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(8459(a,1),8464(a,1,1))]. given #7625 (H,wt=17): 8847 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(255,a,8843,a(flip),b,8844,a(flip))]. given #7626 (H,wt=17): 8850 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(255,a,8844,a(flip),b,8845,a(flip))]. given #7627 (H,wt=17): 8851 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(255,a,8843,a(flip),b,8845,a(flip))]. given #7628 (H,wt=17): 8852 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(255,a,8817,a(flip),b,8845,a(flip)),flip(a)]. given #7629 (H,wt=17): 8855 K(x,K(L(y,z,u),w)) = K(x,K(y,L(w,z,u))). [hyper(8183,a,8847,a)]. given #7630 (H,wt=17): 8859 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(255,a,8134,a,b,8852,a)]. given #7631 (H,wt=19): 8478 K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). [para(188(a,1),8400(a,1,2,2,1))]. given #7632 (H,wt=19): 8489 T(x,(y * L(z,u,w)) / y) = T(x,L(T(z,y),u,w)). [para(45(a,2),8482(a,2,2))]. given #7633 (H,wt=19): 8490 T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). [para(775(a,2),8482(a,1,2))]. given #7634 (H,wt=19): 8499 K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). [para(7539(a,1),8425(a,1,2))]. given #7635 (H,wt=19): 8509 K(x,y \ 1) * T(z,K(x,y)) = z * K(x,y \ 1). [para(8505(a,1),127(a,1,2))]. given #7636 (H,wt=19): 8516 T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. [para(8514(a,1),8206(a,1,1))]. given #7637 (H,wt=19): 8520 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(7537(a,1),8486(a,1,1))]. given #7638 (H,wt=19): 8521 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(7580(a,1),8486(a,1,1))]. given #7639 (H,wt=19): 8528 T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). [para(6686(a,1),8513(a,1,2)),flip(a)]. given #7640 (H,wt=19): 8529 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [hyper(81,a,274,a(flip),b,8518,a)]. given #7641 (H,wt=19): 8533 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(7970(a,1),8519(a,1,1,2)),flip(a)]. given #7642 (H,wt=15): 8869 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(255,a,8519,a(flip),b,8533,a)]. given #7643 (H,wt=19): 8548 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(584(a,1),8539(a,1,2)),flip(a)]. given #7644 (H,wt=19): 8554 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(439(a,1),8553(a,1,2,2)),flip(a)]. given #7645 (H,wt=19): 8573 K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). [para(19(a,1),7941(a,1,2,2,2))]. given #7646 (H,wt=17): 8873 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(255,a,8540,a(flip),b,8573,a)]. given #7647 (H,wt=19): 8584 K(x * ((y * z) \ z),y) = K(x * ((z * y) \ z),y). [para(6062(a,1),8074(a,1,1,2))]. given #7648 (H,wt=19): 8603 T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). [para(8287(a,1),5252(a,2,2))]. given #7649 (H,wt=17): 8875 T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). [hyper(255,a,5252,a,b,8603,a)]. given #7650 (H,wt=17): 8877 T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)). [para(18(a,1),8875(a,1,2,1,1)),flip(a)]. given #7651 (H,wt=15): 8878 T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). [para(5360(a,1),8877(a,1,2)),flip(a)]. given #7652 (H,wt=15): 8879 T(x,y \ K(y,z)) = T(x,z \ (y \ z)). [hyper(255,a,8577,a(flip),b,8878,a(flip))]. given #7653 (H,wt=15): 8880 T(x,y / (y * z)) = T(x,y \ (z \ y)). [hyper(255,a,5647,a(flip),b,8879,a(flip)),flip(a)]. given #7654 (H,wt=19): 8607 K(x \ (y \ z),y) * z = z * K((y \ z) / x,y). [para(8298(a,1),7559(a,1,2)),flip(a)]. given #7655 (H,wt=15): 8881 K((x \ y) / z,x) = K(y / (x * z),x). [hyper(22,a,8398,a(flip),b,8607,a(flip))]. given #7656 (H,wt=19): 8610 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(8560,a,8314,a)]. given #7657 (H,wt=16): 8882 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(255,a,8251,a,b,8610,a),flip(a)]. given #7658 (H,wt=13): 8883 K(T(x * y,y) / x,z) = K(y,z). [hyper(8681,a,8882,a),flip(a)]. given #7659 (H,wt=15): 8885 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(19(a,1),8883(a,1,1,1,1))]. given #7660 (H,wt=15): 8886 K(x \ T(y,x \ y),x) = K(x \ y,x). [hyper(5665,a,8885,a)]. given #7661 (H,wt=19): 8631 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(129(a,1),8498(a,1,2,2)),flip(a)]. given #7662 (H,wt=19): 8641 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(5680,a,8605,a)]. given #7663 (H,wt=19): 8644 T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). [para(4455(a,1),8626(a,1,2,2))]. given #7664 (H,wt=19): 8683 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(241(a,1),8680(a,1,1))]. given #7665 (H,wt=15): 8889 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(255,a,8018,a(flip),b,8683,a)]. given #7666 (H,wt=15): 8891 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(6672(a,1),8889(a,1,1,1)),flip(a)]. given #7667 (H,wt=15): 8893 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7572(a,1),8889(a,1,1,1)),flip(a)]. given #7668 (H,wt=15): 8897 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(255,a,7727,a(flip),b,8893,a(flip)),flip(a)]. given #7669 (H,wt=13): 8899 K(x \ T(y,z),y) = K(x \ y,y). [para(5263(a,2),8897(a,1,1,2))]. given #7670 (H,wt=15): 8900 K(x \ (K(y,z) * u),z) = K(x \ u,z). [para(5608(a,1),8897(a,1,1,2)),flip(a)]. given #7671 (H,wt=15): 8905 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(8235(a,1),8897(a,1,1,2))]. given #7672 (H,wt=15): 8906 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(255,a,7188,a(flip),b,8899,a(flip))]. given #7673 (H,wt=17): 8902 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(5536(a,1),8897(a,1,1,2)),flip(a)]. given #7674 (H,wt=17): 8908 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(6027(a,1),8900(a,1,1,2))]. given #7675 (H,wt=19): 8693 K(x,T(y,z * (u * K(w,x)))) = K(x,T(y,z * u)). [para(112(a,1),8422(a,1,2,2))]. given #7676 (H,wt=19): 8701 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [hyper(7305,a,8700,a)]. given #7677 (H,wt=17): 8915 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(255,a,8779,a(flip),b,8701,a)]. given #7678 (H,wt=19): 8708 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(27,a,8705,a)]. given #7679 (H,wt=15): 8917 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5899,a,8708,a)]. given #7680 (H,wt=15): 8918 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(255,a,8064,a,b,8917,a(flip)),flip(a)]. given #7681 (H,wt=19): 8734 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(47(a,2),7547(a,2,2))]. given #7682 (H,wt=19): 8736 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(8099(a,1),7570(a,1,1))]. given #7683 (H,wt=19): 8740 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(47(a,2),7684(a,2,2))]. given #7684 (H,wt=19): 8741 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(87,a,7691,a)]. given #7685 (H,wt=19): 8744 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(255,a,5055,a(flip),b,7706,a(flip))]. given #7686 (H,wt=17): 8923 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(22,a,7400,a(flip),b,8744,a)]. given #7687 (H,wt=19): 8749 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(7304,a,8748,a)]. given #7688 (H,wt=17): 8926 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(255,a,8902,a(flip),b,8749,a)]. given #7689 (H,wt=19): 8750 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(255,a,7349,a(flip),b,7805,a(flip)),flip(a)]. given #7690 (H,wt=19): 8758 K(x,y) * K(z \ 1,x) = z * T(z \ K(x,y),x). [para(8753(a,1),6643(a,2,2)),flip(a)]. given #7691 (H,wt=19): 8764 K(x,((y * K(z,x)) * u) \ w) = K(x,(y * u) \ w). [para(7231(a,1),8760(a,1,2,1)),flip(a)]. given #7692 (H,wt=19): 8769 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(7586(a,1),8763(a,1,2,1,2))]. given #7693 (H,wt=19): 8773 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(129(a,1),8770(a,1,2,2)),flip(a)]. given #7694 (H,wt=19): 8781 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(8774(a,1),7539(a,2,1))]. given #7695 (H,wt=19): 8784 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(6576(a,1),8782(a,1,2,2))]. given #7696 (H,wt=19): 8785 K(x,y \ (z * (u * x))) = K(x,y \ (z * (x * u))). [para(7053(a,1),8782(a,1,2,2)),flip(a)]. given #7697 (H,wt=19): 8786 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [para(7231(a,1),8782(a,1,2,2)),flip(a)]. given #7698 (H,wt=19): 8789 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(7053(a,1),8788(a,1,2,1)),flip(a)]. given #7699 (H,wt=19): 8796 K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). [para(112(a,1),8768(a,1,2,1))]. given #7700 (H,wt=19): 8797 K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). [para(112(a,1),8787(a,1,2,2))]. given #7701 (H,wt=19): 8803 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5846(a,1),8800(a,1,2,2))]. given #7702 (H,wt=19): 8814 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(18(a,1),7946(a,1,1,2)),flip(a)]. given #7703 (H,wt=19): 8815 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(47(a,2),8054(a,1,2,1))]. given #7704 (H,wt=19): 8818 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(6672(a,1),8124(a,1,1)),flip(a)]. given #7705 (H,wt=19): 8821 T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). [para(47(a,1),8238(a,1,1))]. given #7706 (H,wt=19): 8823 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [hyper(255,a,5295,a(flip),b,8822,a(flip))]. given #7707 (H,wt=17): 8945 K(L(K(x,y),z,u),w) = K(w,L(K(x,y),z,u)). [hyper(22,a,5252,a(flip),b,8823,a)]. given #7708 (H,wt=17): 8946 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(255,a,8859,a(flip),b,8945,a(flip))]. given #7709 (H,wt=14): 8949 K(x,K(y,L(z,z,u))) = K(x,K(z,y)). [para(6586(a,1),8946(a,1,2)),flip(a)]. given #7710 (H,wt=17): 8947 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(255,a,8847,a,b,8946,a)]. given #7711 (H,wt=19): 8830 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(255,a,5082,a,b,8331,a(flip)),flip(a)]. given #7712 (H,wt=17): 8951 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(5323,a,8830,a)]. given #7713 (H,wt=19): 8835 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(6100(a,1),8834(a,1,2))]. given #7714 (H,wt=15): 8953 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(255,a,8831,a(flip),b,8835,a)]. given #7715 (H,wt=15): 8955 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(6673(a,1),8953(a,1,2))]. given #7716 (H,wt=19): 8840 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(104(a,1),8419(a,1,2,2,1))]. given #7717 (H,wt=19): 8854 K(x,K(x / y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(8475,a,8847,a)]. given #7718 (H,wt=19): 8863 T(x,L((y * z) / y,u,w)) = T(x,L(T(z,y),u,w)). [para(767(a,2),8489(a,1,2))]. given #7719 (H,wt=19): 8864 T(x,L(y * K(z,y),u,w)) = T(x,L(T(y,z),u,w)). [para(5431(a,2),8489(a,1,2))]. given #7720 (H,wt=19): 8865 T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). [para(47(a,2),8490(a,2,2))]. given #7721 (H,wt=19): 8866 T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). [hyper(255,a,8232,a(flip),b,8516,a)]. given #7722 (H,wt=17): 8959 K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). [hyper(5542,a,8866,a)]. given #7723 (H,wt=17): 8960 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [para(8138(a,2),8959(a,1,1))]. given #7724 (H,wt=19): 8870 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(6886(a,1),8869(a,1,2,1)),flip(a)]. given #7725 (H,wt=19): 8892 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(7053(a,1),8889(a,1,1,1)),flip(a)]. given #7726 (H,wt=19): 8894 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(8242(a,1),8889(a,1,1,1,2))]. given #7727 (H,wt=19): 8901 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(5409(a,1),8897(a,1,1,2)),flip(a)]. given #7728 (H,wt=19): 8904 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(8242(a,1),8897(a,1,1,2,1))]. given #7729 (H,wt=19): 8909 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(7053(a,1),8905(a,1,1,2)),flip(a)]. given #7730 (H,wt=19): 8914 K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). [para(7525(a,1),8693(a,1,2,2,2))]. given #7731 (H,wt=19): 8919 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7539(a,2),8734(a,1,1))]. given #7732 (H,wt=19): 8922 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(18(a,1),8740(a,1,2,1,2)),flip(a)]. given #7733 (H,wt=19): 8929 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(21(a,1),8750(a,1,2,1,2)),flip(a)]. given #7734 (H,wt=19): 8932 K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). [para(263(a,1),8764(a,1,2,1,1))]. given #7735 (H,wt=19): 8933 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(255,a,8409,a(flip),b,8773,a(flip))]. given #7736 (H,wt=19): 8934 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(255,a,7539,a,b,8781,a)]. given #7737 (H,wt=17): 8970 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(5263(a,2),8934(a,1,2,1,2))]. given #7738 (H,wt=19): 8936 K(x,y \ ((z * K(x,u)) * w)) = K(x,y \ (z * w)). [para(6672(a,1),8786(a,1,2,2,1)),flip(a)]. given #7739 (H,wt=19): 8937 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(7525(a,1),8796(a,1,2,1,2))]. given #7740 (H,wt=19): 8938 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(7525(a,1),8797(a,1,2,2,2))]. given #7741 (H,wt=19): 8948 K(x,1 / L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [para(6484(a,2),8946(a,1,2))]. given #7742 (H,wt=19): 8950 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(7009(a,1),8947(a,1,2)),flip(a)]. given #7743 (H,wt=19): 8962 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(255,a,7497,a,b,8870,a(flip)),flip(a)]. given #7744 (H,wt=19): 8965 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(5175(a,1),8904(a,1,1,2)),flip(a)]. given #7745 (H,wt=19): 8967 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(19(a,1),8919(a,1,2)),flip(a)]. given #7746 (H,wt=16): 8977 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(255,a,332,a(flip),b,8967,a)]. given #7747 (H,wt=16): 8978 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(255,a,7539,a(flip),b,8977,a)]. given #7748 (H,wt=19): 8969 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(7354,a,8929,a)]. given #7749 (H,wt=17): 8979 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [para(17(a,1),8969(a,2,2,1))]. given #7750 (H,wt=17): 8981 K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). [para(21(a,1),8979(a,1,2,1)),flip(a)]. given #7751 (H,wt=19): 8974 K(x,1 / L(K(y,z),u,w)) = K(x,L(K(y,z),u,w)). [hyper(255,a,8947,a,b,8948,a)]. given #7752 (H,wt=19): 8975 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(255,a,8851,a,b,8950,a(flip)),flip(a)]. given #7753 (H,wt=19): 8976 K((x \ y) \ z,T(z,u)) = K(y \ (z * x),T(z,u)). [hyper(255,a,7695,a,b,8965,a(flip)),flip(a)]. given #7754 (H,wt=17): 8983 K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). [hyper(255,a,8601,a(flip),b,8976,a)]. given #7755 (H,wt=17): 8984 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [para(18(a,1),8983(a,1,1,1)),flip(a)]. given #7756 (H,wt=17): 8985 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(255,a,5735,a(flip),b,8984,a(flip)),flip(a)]. given #7757 (H,wt=17): 8986 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(8070,a,8985,a)]. given #7758 (H,wt=19): 8980 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(18(a,1),8969(a,1,2,1,2)),flip(a)]. given #7759 (H,wt=20): 7454 K(x,y) * (z * x) != x * u | T(K(x,y) * z,x) = u. [para(7442(a,1),469(a,1,1))]. given #7760 (H,wt=20): 7610 (x * K(y,T(z,u))) \ (x * z) != w | T(z,T(y,u)) = w. [para(7542(a,1),6787(a,1,1,2))]. given #7761 (H,wt=20): 7622 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7520(a,1),7030(a,1,1)),flip(a)]. given #7762 (H,wt=20): 7628 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(7525(a,1),7081(a,1,1,2))]. given #7763 (H,wt=20): 7629 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. [para(7525(a,1),7083(a,1,1,2))]. given #7764 (H,wt=20): 7633 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7540(a,1),6986(a,1,1)),flip(a)]. given #7765 (H,wt=20): 7641 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7552(a,1),7205(a,1,1)),flip(a)]. given #7766 (H,wt=20): 7663 K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. [para(7584(a,1),5264(a,1,1))]. given #7767 (H,wt=20): 7682 K(x,y) * z != u * w | u \ (z * K(x,T(y,z))) = w. [para(7650(a,1),5617(a,1,2))]. given #7768 (H,wt=20): 7803 L(K(x,x \ (y \ z)),y \ z,y) = K(x,y \ (x \ z)). [hyper(7064,a,7703,a)]. given #7769 (H,wt=20): 7808 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(179(a,1),7703(a,1,2)),flip(a)]. given #7770 (H,wt=18): 8990 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(255,a,5388,a(flip),b,7808,a)]. given #7771 (H,wt=20): 7841 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5726(a,1),7827(a,1,1)),flip(a)]. given #7772 (H,wt=18): 8992 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(7556(a,1),7841(a,1,2))]. given #7773 (H,wt=15): 8993 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(255,a,5726,a(flip),b,8992,a(flip))]. given #7774 (H,wt=17): 8994 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [para(8993(a,1),167(a,1,1,2))]. given #7775 (H,wt=16): 8995 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(6975(a,1),8994(a,1,1))]. given #7776 (H,wt=20): 7874 T(x,R((y \ 1) \ 1,z,u)) != w | T(x,R(y,z,u)) = w. [para(3862(a,2),7871(a,1,2))]. given #7777 (H,wt=20): 7894 K(x,T(y * z,y \ 1)) != u | K(x,T(y * z,z)) = u. [para(4410(a,1),7534(a,1,2))]. given #7778 (H,wt=20): 7903 K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u. [para(7191(a,2),7899(a,1))]. given #7779 (H,wt=18): 8996 K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u. [para(8770(a,1),7903(a,1))]. given #7780 (H,wt=20): 7930 K(x,K(y,z)) * u != u * w | K(x,K(y,T(z,u))) = w. [para(7654(a,1),24(a,1))]. given #7781 (H,wt=20): 7936 (x / R(y,z,y)) * y != y * u | R(y,z,y) \ x = u. [para(7743(a,2),24(a,1))]. given #7782 (H,wt=20): 8075 K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). [para(7028(a,1),8048(a,1,1,2))]. given #7783 (H,wt=20): 8086 T(x,y \ ((x \ z) * x)) != u | x * K(x,y \ z) = u. [para(8082(a,2),5353(a,1))]. given #7784 (H,wt=20): 8094 (x \ (y * T(x,z))) * x != u * T(x,z) | T(y,x) = u. [para(7854(a,2),25(a,1))]. given #7785 (H,wt=20): 8164 K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. [para(8138(a,2),5634(a,1,1))]. given #7786 (H,wt=20): 8182 K(x,K(y,z)) * (x \ u) != w | T(x,K(y,z)) \ u = w. [para(8153(a,1),5565(a,1,1))]. given #7787 (H,wt=20): 8265 K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). [para(703(a,2),8242(a,1,2)),flip(a)]. given #7788 (H,wt=20): 8302 K(x,T(y,z)) * z != u * w | (z * K(x,y)) / w = u. [para(8246(a,1),369(a,1,1))]. given #7789 (H,wt=20): 8309 K(x,(y * x) / z) != u | K(x,T(z \ (y * x),y)) = u. [para(8252(a,1),7914(a,1))]. given #7790 (H,wt=20): 8312 K(L((x \ y) / z,z,x),u) = K((x * z) \ y,T(u,z)). [para(782(a,2),8253(a,1,1))]. given #7791 (H,wt=20): 8320 K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). [para(781(a,1),8256(a,1,2)),flip(a)]. given #7792 (H,wt=20): 8330 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(8058(a,1),8269(a,1,1,2)),flip(a)]. given #7793 (H,wt=18): 8998 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(255,a,8269,a(flip),b,8330,a)]. given #7794 (H,wt=20): 8346 K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. [para(7584(a,2),8183(a,1,2))]. given #7795 (H,wt=20): 8546 (x \ 1) * K(y,T(z,x)) != u * (x \ 1) | K(y,z) = u. [para(8535(a,1),7560(a,1,2))]. given #7796 (H,wt=20): 8567 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(7589(a,1),8559(a,1))]. given #7797 (H,wt=20): 8581 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(8578(a,1),8565(a,1,2))]. given #7798 (H,wt=20): 8602 K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. [para(8283(a,2),7217(a,1))]. given #7799 (H,wt=20): 8609 K(x,T(y \ (x * z),z)) != u | K(x,(y / z) \ x) = u. [para(8307(a,2),6392(a,1))]. given #7800 (H,wt=20): 8612 K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w. [para(8377(a,2),8136(a,1))]. given #7801 (H,wt=20): 8624 K(T(x \ 1,y) \ 1,z) != u | K(T(x,y \ 1),z) = u. [para(5968(a,2),8620(a,1))]. given #7802 (H,wt=20): 8660 L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)). [hyper(255,a,7702,a(flip),b,7804,a)]. given #7803 (H,wt=20): 8690 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(8430(a,2),8345(a,1))]. given #7804 (H,wt=20): 8696 K(x * (y \ 1),y \ 1) != z | K(y \ x,y \ 1) = z. [para(132(a,1),8684(a,1,1))]. given #7805 (H,wt=20): 8727 T(x,(y * x) / z) != x * u | K(x,(x * y) / z) = u. [para(8718(a,1),24(a,1))]. given #7806 (H,wt=20): 8730 K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. [para(8305(a,2),8719(a,1))]. given #7807 (H,wt=20): 8808 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(7933(a,1),7279(a,1,2))]. given #7808 (H,wt=20): 8857 K(x,K(y,L(z,u,w))) != v5 | K(z,K(y,L(x,u,w))) = v5. [para(8850(a,1),8136(a,1))]. given #7809 (H,wt=20): 8858 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8850(a,2),8136(a,1))]. given #7810 (H,wt=20): 8860 K(L(K(x,y),z,u),w) != v5 | K(w,K(y,L(x,z,u))) = v5. [para(8852(a,2),8136(a,1))]. given #7811 (H,wt=20): 8861 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(8859(a,2),8136(a,1))]. given #7812 (H,wt=20): 8871 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(8548(a,1),5457(a,1,2))]. given #7813 (H,wt=20): 8874 K(x,T(x \ y,z \ y)) != u | K(x,T(x \ y,z)) = u. [para(8573(a,2),8551(a,1))]. given #7814 (H,wt=20): 8876 T(x,T((y \ z) \ 1,y)) != u | T(x,(z / y) \ 1) = u. [para(8603(a,2),5255(a,1))]. given #7815 (H,wt=20): 8968 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(5505,a,8922,a)]. given #7816 (H,wt=20): 9002 L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. [para(8843(a,2),8857(a,1))]. given #7817 (H,wt=20): 9003 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8845(a,2),8857(a,1))]. given #7818 (H,wt=20): 9004 K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. [para(8154(a,1),8858(a,1))]. given #7819 (H,wt=20): 9005 L(K(x,K(y,z)),u,w) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(8843(a,2),8858(a,1))]. given #7820 (H,wt=20): 9006 K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(8946(a,2),8858(a,1))]. given #7821 (H,wt=20): 9007 K(x,L(K(y,z),u,w)) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8947(a,2),8858(a,1))]. given #7822 (H,wt=20): 9011 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(255,a,7424,a(flip),b,8968,a(flip)),flip(a)]. given #7823 (H,wt=21): 7420 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(7412(a,1),460(a,1,1,1)),flip(a)]. given #7824 (H,wt=13): 9012 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(422,a,7420,a)]. given #7825 (H,wt=13): 9014 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(255,a,7046,a(flip),b,9012,a(flip)),flip(a)]. given #7826 (H,wt=21): 7441 K(x,(y * (x / y)) \ (x * z)) = K(x,K(y \ x,y) * z). [para(7131(a,1),7428(a,1,2))]. given #7827 (H,wt=17): 9015 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(255,a,7267,a(flip),b,7441,a(flip)),flip(a)]. given #7828 (H,wt=13): 9017 K(x,K(y \ x,y) * z) = K(x,z). [para(18(a,1),9015(a,1,2)),flip(a)]. given #7829 (H,wt=13): 9018 K(x,y * K(z \ x,z)) = K(x,y). [hyper(255,a,7680,a(flip),b,9017,a(flip)),flip(a)]. given #7830 (H,wt=15): 9019 K(x * y,K(y,x) * z) = K(x * y,z). [para(18(a,1),9017(a,1,2,1,1))]. given #7831 (H,wt=15): 9020 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5877(a,1),9017(a,1,2)),flip(a)]. given #7832 (H,wt=21): 7515 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(7131(a,1),7506(a,1,1))]. given #7833 (H,wt=17): 9024 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(255,a,7164,a(flip),b,7515,a(flip)),flip(a)]. given #7834 (H,wt=13): 9026 K(K(x \ y,x) * z,y) = K(z,y). [hyper(255,a,615,a(flip),b,9024,a(flip))]. given #7835 (H,wt=21): 7591 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(277(a,1),7542(a,1,1))]. given #7836 (H,wt=21): 7623 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(773(a,1),7523(a,1,1))]. given #7837 (H,wt=21): 7665 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(773(a,1),7585(a,1,1))]. given #7838 (H,wt=19): 9029 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(255,a,8815,a(flip),b,7665,a)]. given #7839 (H,wt=21): 7687 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(7659(a,1),7208(a,1,1))]. given #7840 (H,wt=19): 9031 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(255,a,7208,a(flip),b,7687,a(flip))]. given #7841 (H,wt=19): 9032 K(R(x,y,z),T(u,x * w)) = K(R(x,y,z),T(u,w)). [para(18(a,1),9031(a,1,2,2)),flip(a)]. given #7842 (H,wt=21): 7717 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(7711(a,1),428(a,1,2,1))]. given #7843 (H,wt=13): 9034 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(454,a,7717,a)]. given #7844 (H,wt=13): 9037 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(255,a,7208,a(flip),b,9034,a(flip)),flip(a)]. given #7845 (H,wt=21): 7718 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(7711(a,1),429(a,1,2,1))]. given #7846 (H,wt=13): 9041 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(454,a,7718,a)]. given #7847 (H,wt=13): 9042 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(255,a,7208,a(flip),b,9041,a(flip)),flip(a)]. given #7848 (H,wt=19): 9043 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(255,a,8250,a(flip),b,9042,a(flip))]. given #7849 (H,wt=15): 9044 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(255,a,8242,a(flip),b,9043,a(flip))]. given #7850 (H,wt=19): 9046 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(9044(a,1),5292(a,2,1,1))]. given #7851 (H,wt=15): 9047 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(255,a,5292,a,b,9046,a)]. given #7852 (H,wt=21): 7771 (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). [para(7764(a,1),460(a,1,1,1)),flip(a)]. given #7853 (H,wt=13): 9048 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(422,a,7771,a)]. given #7854 (H,wt=13): 9049 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(255,a,7046,a(flip),b,9048,a(flip)),flip(a)]. given #7855 (H,wt=13): 9050 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(255,a,7009,a(flip),b,9048,a(flip)),flip(a)]. given #7856 (H,wt=21): 7786 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(47(a,2),7588(a,1,1))]. given #7857 (H,wt=21): 7790 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(7466(a,1),7646(a,1,2,1))]. given #7858 (H,wt=21): 7816 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(255,a,6055,a(flip),b,7714,a)]. given #7859 (H,wt=21): 7818 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(45(a,2),7714(a,2,2))]. given #7860 (H,wt=21): 7875 T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). [para(5979(a,2),7856(a,2,2))]. given #7861 (H,wt=19): 9052 T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). [hyper(255,a,5252,a,b,7875,a)]. given #7862 (H,wt=18): 9054 T(x,1 / T(y,z)) != u | T(x,T(1 / y,z)) = u. [para(9052(a,1),8564(a,1))]. given #7863 (H,wt=19): 9053 T(T(x,1 / y),K(z,1 / y)) = T(x,1 / T(y,z)). [hyper(8214,a,9052,a)]. given #7864 (H,wt=21): 7913 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(129(a,1),7862(a,1,2,2)),flip(a)]. given #7865 (H,wt=21): 7916 T(x / y,z) * T(y,K(x / y,z)) = x * K(x / y,z). [hyper(255,a,98,a(flip),b,7414,a)]. given #7866 (H,wt=21): 7919 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(7890(a,2),7460(a,1,1))]. given #7867 (H,wt=21): 7928 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(6686(a,1),7616(a,1,2,1))]. given #7868 (H,wt=21): 7934 (x * y) * K(x,K(z,T(u,y))) = K(x,K(z,u)) * (x * y). [para(7539(a,2),7688(a,1,2,2))]. given #7869 (H,wt=17): 9057 K(x,K(y,T(z,x * u))) = K(x,K(y,T(z,u))). [hyper(22,a,7654,a,b,7934,a),flip(a)]. given #7870 (H,wt=17): 9058 K(x,K(y,T(z,x \ u))) = K(x,K(y,T(z,u))). [para(19(a,1),9057(a,1,2,2,2)),flip(a)]. given #7871 (H,wt=21): 8029 K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). [para(7475(a,1),8009(a,1,1,2)),flip(a)]. given #7872 (H,wt=20): 9059 K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). [hyper(255,a,8075,a(flip),b,8029,a(flip))]. given #7873 (H,wt=14): 9060 K(x * (R(x,y,x) \ z),x) = K(z,x). [hyper(255,a,8033,a(flip),b,9059,a)]. given #7874 (H,wt=14): 9061 K(R(x,y,x) * z,x) = K(x * z,x). [para(18(a,1),9060(a,1,1,2)),flip(a)]. given #7875 (H,wt=14): 9062 K(x * R(y,z,y),y) = K(y * x,y). [hyper(255,a,8059,a(flip),b,9061,a(flip)),flip(a)]. given #7876 (H,wt=18): 9063 T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). [para(9062(a,1),5291(a,2,2,2))]. given #7877 (H,wt=14): 9064 T(x,y * R(x,z,x)) = T(x,x * y). [hyper(255,a,5291,a,b,9063,a)]. given #7878 (H,wt=16): 9065 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(255,a,5252,a(flip),b,9064,a)]. given #7879 (H,wt=14): 9066 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(5323,a,9065,a)]. given #7880 (H,wt=14): 9067 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(255,a,8053,a,b,9066,a(flip)),flip(a)]. given #7881 (H,wt=17): 9068 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(255,a,7432,a,b,9067,a(flip)),flip(a)]. given #7882 (H,wt=21): 8036 K(x,(x * y) * (x \ 1)) != z | K(x,R(y,x,x \ 1)) = z. [para(6294(a,1),7984(a,1,2))]. given #7883 (H,wt=21): 8061 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(6878(a,1),8056(a,1,2))]. given #7884 (H,wt=21): 8096 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(7921(a,2),7091(a,1,2))]. given #7885 (H,wt=21): 8097 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(6837(a,1),7927(a,1,1,1)),flip(a)]. given #7886 (H,wt=21): 8117 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(255,a,6209,a(flip),b,8100,a)]. given #7887 (H,wt=17): 9069 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(6209(a,1),8117(a,1,1)),flip(a)]. given #7888 (H,wt=21): 8118 R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). [hyper(255,a,6358,a,b,8100,a(flip)),flip(a)]. given #7889 (H,wt=21): 8157 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(6209(a,1),8137(a,1,1)),flip(a)]. given #7890 (H,wt=17): 9071 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(6209(a,1),8157(a,1,2)),flip(a)]. given #7891 (H,wt=17): 9072 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(255,a,9069,a,b,9071,a(flip)),flip(a)]. given #7892 (H,wt=17): 9073 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(8134(a,1),9072(a,1,1))]. given #7893 (H,wt=14): 9074 R(K(x,K(y,z)),y,u) = K(x,K(y,z)). [para(4395(a,1),9073(a,2,2))]. given #7894 (H,wt=19): 9075 x * R(K(x,K(y,z)),u,w) = T(x,R(K(y,z),u,w)). [para(9073(a,2),5252(a,2,2)),flip(a)]. given #7895 (H,wt=21): 8167 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [para(8138(a,2),6769(a,2,2))]. given #7896 (H,wt=21): 8168 x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)). [para(8138(a,2),6771(a,1,2,2))]. given #7897 (H,wt=21): 8226 K(x,T(T(y,z),K(u,y * z))) = K(x,T(y,T(y * z,u))). [para(8200(a,1),7738(a,1,2)),flip(a)]. given #7898 (H,wt=17): 9078 K(x,T(y,T(y * z,u))) = K(x,T(y,T(z,u))). [para(8613(a,1),8226(a,1,2)),flip(a)]. given #7899 (H,wt=13): 9079 K(x,T(y,T(y * x,z))) = K(x,y). [hyper(255,a,5642,a(flip),b,9078,a)]. given #7900 (H,wt=15): 9080 K(x \ y,T(x,T(y,z))) = K(x \ y,x). [para(19(a,1),9079(a,1,2,2,1))]. given #7901 (H,wt=21): 8272 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(8242(a,1),6382(a,1,1))]. given #7902 (H,wt=17): 9082 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(255,a,8262,a(flip),b,8272,a)]. given #7903 (H,wt=17): 9084 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(19(a,1),9082(a,1,2)),flip(a)]. given #7904 (H,wt=17): 9085 R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). [hyper(255,a,6385,a,b,9084,a(flip)),flip(a)]. given #7905 (H,wt=17): 9088 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(5608(a,1),9085(a,1,2)),flip(a)]. given #7906 (H,wt=21): 8273 L(K(x,y),z * T(y,u),w) = K(T(x,u),L(T(y,u),z,w)). [para(8242(a,1),7009(a,1,1))]. given #7907 (H,wt=17): 9090 L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). [hyper(255,a,8261,a(flip),b,8273,a)]. given #7908 (H,wt=15): 9093 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(127(a,1),9090(a,1,2))]. given #7909 (H,wt=13): 9096 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(255,a,7046,a(flip),b,9093,a(flip)),flip(a)]. given #7910 (H,wt=15): 9095 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(169(a,1),9090(a,1,2)),flip(a)]. given #7911 (H,wt=17): 9092 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(255,a,7010,a(flip),b,9090,a(flip)),flip(a)]. given #7912 (H,wt=17): 9094 L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). [para(171(a,1),9090(a,1,2))]. given #7913 (H,wt=17): 9101 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(7559(a,1),9092(a,1,2,2))]. given #7914 (H,wt=21): 8274 L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)). [para(8242(a,1),7046(a,1,1))]. given #7915 (H,wt=17): 9103 L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). [hyper(255,a,8260,a(flip),b,8274,a)]. given #7916 (H,wt=15): 9105 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(127(a,1),9103(a,1,2))]. given #7917 (H,wt=14): 9107 K(L(x,y,z),x * y) = K(x,x * y). [hyper(8037,a,9105,a),flip(a)]. given #7918 (H,wt=15): 9106 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(169(a,1),9103(a,1,2)),flip(a)]. given #7919 (H,wt=12): 9111 K(L(x,x \ 1,y),z) = K(x,z). [hyper(255,a,322,a(flip),b,9106,a)]. given #7920 (H,wt=18): 9112 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(255,a,8260,a(flip),b,9111,a(flip))]. given #7921 (H,wt=14): 9113 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(255,a,8242,a(flip),b,9112,a(flip))]. given #7922 (H,wt=19): 9109 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(5184(a,2),9105(a,1,2)),flip(a)]. given #7923 (H,wt=12): 9115 L(K(x,y),K(z,x),u) = K(x,y). [hyper(255,a,9113,a(flip),b,9109,a(flip))]. given #7924 (H,wt=18): 9117 L(R(K(x,y),z,u),K(w,x),v5) = R(K(x,y),z,u). [para(9115(a,1),49(a,1,1)),flip(a)]. given #7925 (H,wt=18): 9118 L(L(K(x,y),z,u),K(w,x),v5) = L(K(x,y),z,u). [para(9115(a,1),50(a,1,1)),flip(a)]. given #7926 (H,wt=19): 9119 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(9115(a,1),112(a,1,2))]. given #7927 (H,wt=10): 9127 R(x,K(y,z),K(z,u)) = x. [hyper(454,a,9119,a)]. given #7928 (H,wt=10): 9131 R(x,K(y,z),K(u,y)) = x. [hyper(255,a,7312,a,b,9127,a(flip)),flip(a)]. given #7929 (H,wt=12): 9132 R(x,T(K(y,z),u),K(z,w)) = x. [para(1653(a,1),9127(a,1,2))]. given #7930 (H,wt=13): 9134 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(6475(a,1),9127(a,1,2))]. given #7931 (H,wt=14): 9140 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(5974(a,1),9132(a,1,3))]. given #7932 (H,wt=17): 9135 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(9127(a,1),6649(a,1,1))]. given #7933 (H,wt=16): 9144 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(255,a,4502,a(flip),b,9135,a(flip))]. given #7934 (H,wt=15): 9148 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(255,a,5956,a,b,9144,a(flip)),flip(a)]. given #7935 (H,wt=15): 9151 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(18(a,1),9148(a,1,2,2)),flip(a)]. given #7936 (H,wt=13): 9152 x \ R(x,T(y,x),x) = a(x,y,x). [para(167(a,1),9151(a,1,2)),flip(a)]. given #7937 (H,wt=11): 9153 x \ R(x,y,x) = a(x,y,x). [para(4717(a,1),9152(a,1,2))]. given #7938 (H,wt=11): 9159 x * a(x,y,x) = R(x,y,x). [para(9153(a,1),19(a,1,2))]. given #7939 (H,wt=11): 9161 a(x,y,x) * x = R(x,y,x). [para(9153(a,1),4037(a,1,1))]. given #7940 (H,wt=14): 9154 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(5957,a,9153,a)]. given #7941 (H,wt=14): 9155 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(5945,a,9153,a)]. given #7942 (H,wt=14): 9160 x * a(x,y,x) != z | R(x,y,x) = z. [para(9153(a,1),220(a,1,2)),flip(b)]. given #7943 (H,wt=14): 9163 a(x,y,x) \ K(x * y,x) = K(y,x). [para(9153(a,1),6681(a,1,1))]. given #7944 (H,wt=14): 9164 T(x * y,x) / x = y * a(x,y,x). [para(9153(a,1),6975(a,1,2)),flip(a)]. given #7945 (H,wt=14): 9166 x \ R(x,y,x) != z | a(x,y,x) = z. [para(9159(a,1),222(a,1,2)),flip(b)]. given #7946 (H,wt=14): 9167 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(5622,a,9154,a)]. given #7947 (H,wt=14): 9168 K(x,x * y) * a(x,y,x) = K(x,y). [para(9154(a,1),5628(a,1,2))]. given #7948 (H,wt=14): 9169 a(x,y,x) * (y * x) = T(x * y,x). [para(9154(a,1),7125(a,1,1))]. given #7949 (H,wt=14): 9170 (x * y) * a(y,x,y) = T(y * x,y). [para(9154(a,1),7127(a,1,2))]. given #7950 (H,wt=14): 9171 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(6674,a,9155,a)]. given #7951 (H,wt=14): 9181 K(x,y) * a(y,x,y) = K(x * y,y). [hyper(255,a,5894,a,b,9167,a)]. given #7952 (H,wt=14): 9185 a(x,y,x) * K(y,x) = K(y * x,x). [hyper(255,a,5894,a,b,9171,a)]. given #7953 (H,wt=15): 9156 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(255,a,7811,a,b,9153,a(flip)),flip(a)]. given #7954 (H,wt=15): 9189 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(9156(a,1),4037(a,1,1))]. given #7955 (H,wt=16): 9149 a(x,y / x,x) \ K(y,x) = K(x \ y,x). [para(9144(a,1),6670(a,1,1))]. given #7956 (H,wt=16): 9150 a(x,y / x,x) * K(x,y) = K(x,x \ y). [para(9144(a,1),6689(a,1,1))]. given #7957 (H,wt=16): 9158 K(x,y) * K(y,y \ x) = a(y,y \ x,y). [hyper(255,a,5956,a(flip),b,9153,a(flip)),flip(a)]. given #7958 (H,wt=16): 9175 (x \ y) * a(x,x \ y,x) = T(y,x) / x. [para(19(a,1),9164(a,1,1,1)),flip(a)]. given #7959 (H,wt=16): 9176 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(9164(a,1),129(a,1,1))]. given #7960 (H,wt=16): 9182 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(19(a,1),9168(a,1,1,2))]. given #7961 (H,wt=16): 9190 a(x,x \ y,x) = T(x,y) \ ((x \ y) \ y). [para(4560(a,1),9156(a,1,2)),flip(a)]. given #7962 (H,wt=17): 9162 a(x,x \ (y \ x),x) = x \ R(x,y \ 1,x). [para(6310(a,1),9153(a,1,2)),flip(a)]. given #7963 (H,wt=15): 9193 a(x,x \ (y \ x),x) = a(x,y \ 1,x). [hyper(255,a,9153,a(flip),b,9162,a)]. given #7964 (H,wt=17): 9172 a(x,y,x) * K(y,x) != z | K(x * y,x) = z. [para(9155(a,1),6675(a,1,1)),flip(b)]. given #7965 (H,wt=17): 9180 K(x,y) * K(x * y,x) != z | a(x,y,x) = z. [para(5726(a,2),9166(a,1))]. given #7966 (H,wt=18): 9173 a(x,y \ 1,x) \ K(y \ x,x) = K(y \ 1,x). [para(5734(a,1),9163(a,1,2))]. given #7967 (H,wt=19): 9126 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(6674,a,9119,a)]. given #7968 (H,wt=19): 9128 (x * K(y,z)) * K(u,y) = x * (K(u,y) * K(y,z)). [hyper(255,a,7236,a,b,9119,a(flip)),flip(a)]. given #7969 (H,wt=19): 9130 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(2075(a,2),9119(a,2,2))]. given #7970 (H,wt=19): 9137 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [para(9131(a,1),122(a,1,1)),flip(a)]. given #7971 (H,wt=12): 9200 L(K(x,y),K(y,z),u) = K(x,y). [hyper(422,a,9137,a)]. given #7972 (H,wt=16): 9204 L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). [para(8242(a,1),9200(a,1,2))]. given #7973 (H,wt=19): 9139 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [para(9131(a,1),7235(a,1,1))]. given #7974 (H,wt=19): 9192 K(x,y) * a(x,x \ y,x) != z | K(x,x \ y) = z. [para(9158(a,1),5612(a,1,2)),flip(b)]. given #7975 (H,wt=19): 9196 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(2075(a,2),9126(a,1,1,2))]. given #7976 (H,wt=19): 9202 (x * K(y,z)) * (K(z,y) * K(u,z)) = x * K(u,z). [para(6672(a,1),9137(a,1,1)),flip(a)]. given #7977 (H,wt=19): 9208 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(23,a,9126,a,b,9196,a(flip)),flip(a)]. given #7978 (H,wt=19): 9210 x / (K(y,z) * K(u,y)) = x * (K(z,y) * K(y,u)). [hyper(308,a,9208,a),flip(a)]. given #7979 (H,wt=19): 9211 (x * (K(y,z) * K(u,y))) \ x = K(z,y) * K(y,u). [hyper(87,a,9208,a)]. given #7980 (H,wt=19): 9214 x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)). [para(2075(a,1),9210(a,1,2))]. given #7981 (H,wt=19): 9215 (x * (K(y,z) * K(u,y))) \ x = K(y,u) * K(z,y). [hyper(255,a,2075,a,b,9211,a)]. given #7982 (H,wt=20): 9129 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(255,a,7065,a(flip),b,9119,a(flip))]. given #7983 (H,wt=17): 9217 (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). [para(5944(a,1),9129(a,1,2)),flip(a)]. given #7984 (H,wt=13): 9218 R(x,y,x) \ x = x \ L(x,y,x). [hyper(7936,a,9217,a)]. given #7985 (H,wt=13): 9219 x / R(x,y,x) = x \ L(x,y,x). [hyper(79,a,1952,a(flip),b,9217,a(flip)),flip(a)]. given #7986 (H,wt=15): 9220 x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. [hyper(80,a,9218,a(flip),b,1308,a)]. given #7987 (H,wt=20): 9146 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(9135(a,2),2081(a,1))]. given #7988 (H,wt=21): 8301 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(7957(a,1),8243(a,1,2))]. given #7989 (H,wt=17): 9223 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(255,a,8904,a(flip),b,8301,a(flip)),flip(a)]. given #7990 (H,wt=15): 9224 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(8593,a,9223,a),flip(a)]. given #7991 (H,wt=19): 9226 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(9224(a,1),6670(a,1,1,2)),flip(a)]. given #7992 (H,wt=15): 9227 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(255,a,6670,a(flip),b,9226,a)]. given #7993 (H,wt=17): 9228 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(8486(a,1),9227(a,1,2,1))]. given #7994 (H,wt=17): 9229 K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). [hyper(255,a,8066,a(flip),b,9228,a)]. given #7995 (H,wt=21): 8317 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(7970(a,1),8254(a,1,2))]. given #7996 (H,wt=17): 9230 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(255,a,8894,a(flip),b,8317,a(flip)),flip(a)]. given #7997 (H,wt=15): 9231 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(8560,a,9230,a),flip(a)]. given #7998 (H,wt=19): 9233 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(7231(a,1),9231(a,1,1,2)),flip(a)]. given #7999 (H,wt=19): 9234 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(7525(a,1),9233(a,1,1,2,1))]. given #8000 (H,wt=19): 9235 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [para(7527(a,1),9233(a,1,1,2,1)),flip(a)]. given #8001 (H,wt=21): 8321 K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). [para(779(a,1),8256(a,1,2)),flip(a)]. given #8002 (H,wt=21): 8327 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(7967(a,1),8263(a,1,1))]. given #8003 (H,wt=17): 9237 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(255,a,8769,a(flip),b,8327,a(flip)),flip(a)]. given #8004 (H,wt=15): 9239 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(255,a,8263,a(flip),b,9237,a(flip))]. given #8005 (H,wt=15): 9241 K(x,y / (z * K(x,u))) = K(x,y / z). [para(6672(a,1),9239(a,1,2,2)),flip(a)]. given #8006 (H,wt=17): 9240 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(1562(a,1),9239(a,1,2,2))]. given #8007 (H,wt=19): 9242 K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). [para(7231(a,1),9241(a,1,2,2)),flip(a)]. given #8008 (H,wt=19): 9243 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(104(a,1),9242(a,1,2,2,1))]. given #8009 (H,wt=19): 9244 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(263(a,1),9242(a,1,2,2,1))]. given #8010 (H,wt=19): 9245 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(7525(a,1),9242(a,1,2,2,1))]. given #8011 (H,wt=19): 9246 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(7527(a,1),9242(a,1,2,2,1)),flip(a)]. given #8012 (H,wt=21): 8328 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(255,a,5446,a,b,8264,a(flip)),flip(a)]. given #8013 (H,wt=21): 8336 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(8308(a,1),7322(a,1,2))]. given #8014 (H,wt=21): 8352 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(7659(a,1),8104(a,1,1,2))]. given #8015 (H,wt=17): 9249 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(8107,a,8352,a),flip(a)]. given #8016 (H,wt=17): 9250 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(18(a,1),9249(a,1,2,2)),flip(a)]. given #8017 (H,wt=21): 8404 K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). [para(8249(a,1),5190(a,2,2))]. given #8018 (H,wt=17): 9252 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(8242(a,1),8404(a,1,1)),flip(a)]. given #8019 (H,wt=17): 9253 (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). [para(9252(a,1),5898(a,1,1))]. given #8020 (H,wt=21): 8410 K(x \ 1,y) * K(y,x \ K(x,z)) = K(x \ 1,K(y,z)). [para(8286(a,1),8159(a,1,2))]. given #8021 (H,wt=21): 8415 (x * (K(y,z) * K(x,u))) * K(z,y) = T(x,T(u,K(y,z))). [hyper(6674,a,8293,a)]. given #8022 (H,wt=21): 8467 (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). [hyper(255,a,6030,a(flip),b,8461,a(flip)),flip(a)]. given #8023 (H,wt=21): 8500 K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). [para(8432(a,1),8151(a,1,1))]. given #8024 (H,wt=19): 9257 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(8164,a,8500,a),flip(a)]. given #8025 (H,wt=19): 9258 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(6562,a,9257,a),flip(a)]. given #8026 (H,wt=19): 9260 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(9257(a,2),6670(a,1,1))]. given #8027 (H,wt=19): 9262 T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). [para(6672(a,1),9260(a,1,1,1))]. given #8028 (H,wt=19): 9263 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [para(9262(a,1),19(a,1,2)),flip(a)]. given #8029 (H,wt=17): 9265 T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). [hyper(255,a,8378,a(flip),b,9263,a)]. given #8030 (H,wt=19): 9264 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(6562,a,9263,a),flip(a)]. given #8031 (H,wt=20): 9266 T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. [para(9265(a,2),24(a,1))]. given #8032 (H,wt=21): 8532 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1990(a,1),8519(a,1,1,2))]. given #8033 (H,wt=17): 9267 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(8530,a,8532,a),flip(a)]. given #8034 (H,wt=21): 8558 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(129(a,1),8359(a,1,2,2)),flip(a)]. given #8035 (H,wt=21): 8590 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(8194(a,1),7542(a,1,1)),flip(a)]. given #8036 (H,wt=21): 8594 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4506(a,1),8250(a,1,1,1)),flip(a)]. given #8037 (H,wt=19): 9269 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(255,a,9031,a(flip),b,8594,a)]. given #8038 (H,wt=21): 8596 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(255,a,7944,a(flip),b,8259,a(flip))]. given #8039 (H,wt=21): 8611 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(8369(a,1),7781(a,2,1))]. given #8040 (H,wt=21): 8614 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [hyper(80,a,8613,a(flip),b,6687,a)]. given #8041 (H,wt=21): 8629 T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). [para(5692(a,1),8493(a,1,2,1))]. given #8042 (H,wt=21): 8632 T(T(x,K(y,z)),(y \ z) \ 1) = T(x,T((y \ z) \ 1,y)). [para(8367(a,1),8510(a,1,1))]. given #8043 (H,wt=19): 9272 T(T(x,K(y,z)),(y \ z) \ 1) = T(x,(z / y) \ 1). [hyper(255,a,8875,a(flip),b,8632,a)]. given #8044 (H,wt=17): 9273 T(T(x,K(y,z)),(y \ z) \ 1) = T(x,y / z). [hyper(255,a,4661,a(flip),b,9272,a)]. given #8045 (H,wt=15): 9274 T(T(x,K(y,z)),z \ y) = T(x,y / z). [hyper(6852,a,9273,a)]. given #8046 (H,wt=15): 9276 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(8198(a,1),9274(a,1,1)),flip(a)]. given #8047 (H,wt=15): 9277 T(T(x,y / z),K(z,y)) = T(x,z \ y). [hyper(8204,a,9276,a)]. given #8048 (H,wt=21): 8633 T(x,y) * T(x \ K(x,z),x) = (x \ K(x,z)) * T(x,y). [para(8523(a,1),127(a,1,2))]. given #8049 (H,wt=21): 8637 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). [hyper(255,a,8115,a,b,8575,a),flip(a)]. given #8050 (H,wt=21): 8639 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(8100(a,1),8599(a,2,1))]. given #8051 (H,wt=21): 8643 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(8615(a,1),182(a,1,2))]. given #8052 (H,wt=21): 8646 T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). [para(8635(a,1),5291(a,2,2,2))]. given #8053 (H,wt=17): 9280 T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). [hyper(255,a,5291,a,b,8646,a)]. given #8054 (H,wt=19): 9281 T(x,(y \ 1) \ (x \ z)) = x * K(x,(y \ x) \ z). [hyper(8086,a,9280,a),flip(a)]. given #8055 (H,wt=17): 9282 K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). [hyper(5323,a,9281,a)]. given #8056 (H,wt=17): 9283 K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). [para(18(a,1),9282(a,1,2,2)),flip(a)]. given #8057 (H,wt=17): 9284 K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). [hyper(255,a,7701,a,b,9283,a(flip)),flip(a)]. given #8058 (H,wt=21): 8651 K(x,y * K(1 / y,z * y)) = T(K(x,y),z / (1 / y)). [para(6296(a,1),8649(a,1,2,2))]. given #8059 (H,wt=17): 9285 T(K(x,y),z / (1 / y)) = T(K(x,y),z * y). [hyper(255,a,8649,a(flip),b,8651,a(flip))]. given #8060 (H,wt=21): 8656 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(439(a,1),8655(a,1,2)),flip(a)]. given #8061 (H,wt=21): 8699 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(7030(a,2),8697(a,1))]. given #8062 (H,wt=21): 8743 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(20(a,1),7704(a,1,1,1,1,2))]. given #8063 (H,wt=21): 8747 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(18(a,1),7762(a,2,2,1,2))]. given #8064 (H,wt=21): 8751 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(7810(a,1),5564(a,1,2))]. given #8065 (H,wt=21): 8827 T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). [para(8826(a,1),7559(a,1,2))]. given #8066 (H,wt=21): 8828 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(8329(a,1),5252(a,2,2))]. given #8067 (H,wt=21): 8841 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(x * z,u),w)). [para(5226(a,1),8420(a,1,2,1,1)),flip(a)]. given #8068 (H,wt=21): 8862 T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). [hyper(255,a,5980,a(flip),b,8478,a(flip)),flip(a)]. given #8069 (H,wt=19): 9290 T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). [hyper(255,a,9285,a(flip),b,8862,a(flip)),flip(a)]. given #8070 (H,wt=17): 9291 K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). [hyper(255,a,6952,a(flip),b,9290,a(flip))]. given #8071 (H,wt=21): 8868 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(8529(a,1),6620(a,1,1,1))]. given #8072 (H,wt=21): 8888 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(8641(a,1),3534(a,1,2)),flip(a)]. given #8073 (H,wt=21): 8924 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [para(18(a,1),8744(a,2,2,2,1))]. given #8074 (H,wt=21): 8925 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(8923(a,1),6670(a,1,1,2)),flip(a)]. given #8075 (H,wt=17): 9293 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(255,a,6670,a(flip),b,8925,a)]. given #8076 (H,wt=17): 9294 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(19(a,1),9293(a,1,1,1)),flip(a)]. given #8077 (H,wt=21): 8928 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(8926(a,1),8138(a,2,2))]. given #8078 (H,wt=21): 8958 T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). [para(4524(a,1),8865(a,1,2,1)),flip(a)]. given #8079 (H,wt=21): 8971 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(7601(a,1),8934(a,1,2,1,2))]. given #8080 (H,wt=19): 9298 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [hyper(255,a,8970,a(flip),b,8971,a)]. given #8081 (H,wt=21): 8991 K(x,y \ (x \ (y * (z * x)))) != u | K(x,L(z,x,y)) = u. [para(7808(a,2),5503(a,1))]. given #8082 (H,wt=21): 9022 K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)) = K(x,y \ z). [para(6967(a,1),9018(a,1,2)),flip(a)]. given #8083 (H,wt=21): 9023 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(9019(a,1),5216(a,1,1,2))]. given #8084 (H,wt=21): 9028 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(9026(a,1),5252(a,2,2)),flip(a)]. given #8085 (H,wt=19): 9301 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(6621,a,9028,a),flip(a)]. given #8086 (H,wt=21): 9033 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [para(9031(a,1),5382(a,1,1))]. given #8087 (H,wt=19): 9303 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5383,a,9033,a),flip(a)]. given #8088 (H,wt=21): 9035 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(5175(a,1),7717(a,1,1)),flip(a)]. given #8089 (H,wt=21): 9038 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(255,a,6374,a(flip),b,9034,a(flip)),flip(a)]. given #8090 (H,wt=21): 9039 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(9037(a,1),5263(a,2,1)),flip(a)]. given #8091 (H,wt=21): 9056 T(x / y,z) * T(y,K(z,x / y)) = x * K(x / y,z). [para(8193(a,1),7916(a,1,2))]. given #8092 (H,wt=19): 9307 T(x / y,z) * T(y,K(x,z)) = x * K(x / y,z). [para(8390(a,1),9056(a,1,2))]. given #8093 (H,wt=21): 9070 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(8100(a,1),8118(a,1,1))]. given #8094 (H,wt=19): 9310 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(255,a,8440,a(flip),b,9070,a)]. given #8095 (H,wt=17): 9312 R(K(x,K(y,z)),u,w) = K(x,K(z,R(y,u,w))). [para(8439(a,1),9310(a,1,1))]. given #8096 (H,wt=17): 9313 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(8440(a,1),9310(a,1,1))]. given #8097 (H,wt=14): 9316 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [hyper(255,a,9074,a(flip),b,9313,a(flip))]. given #8098 (H,wt=17): 9314 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(8444(a,1),9310(a,1,1))]. given #8099 (H,wt=17): 9315 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(255,a,9073,a(flip),b,9312,a(flip)),flip(a)]. given #8100 (H,wt=17): 9317 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(255,a,9073,a(flip),b,9313,a(flip)),flip(a)]. given #8101 (H,wt=19): 9318 x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). [para(9313(a,2),5252(a,2,2)),flip(a)]. given #8102 (H,wt=17): 9320 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [hyper(255,a,9075,a(flip),b,9318,a(flip)),flip(a)]. given #8103 (H,wt=21): 9099 L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). [para(5220(a,1),9093(a,1,2))]. given #8104 (H,wt=17): 9321 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(255,a,9101,a(flip),b,9099,a)]. given #8105 (H,wt=21): 9102 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(9094(a,1),8946(a,1,2)),flip(a)]. given #8106 (H,wt=21): 9110 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(8242(a,1),9105(a,1,1))]. given #8107 (H,wt=17): 9325 L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). [hyper(255,a,8260,a(flip),b,9110,a)]. given #8108 (H,wt=17): 9327 K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). [para(19(a,1),9325(a,1,2)),flip(a)]. given #8109 (H,wt=17): 9328 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(9327(a,2),323(a,1)),flip(b)]. given #8110 (H,wt=14): 9329 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(9112(a,2),9328(a,1))]. given #8111 (H,wt=14): 9336 K(x,T(y,T(x,z))) != u | K(x,y) = u. [para(196(a,1),9329(a,1,1))]. given #8112 (H,wt=14): 9339 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7542(a,1),9329(a,1))]. given #8113 (H,wt=16): 9335 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(129(a,1),9329(a,1,2))]. given #8114 (H,wt=16): 9338 K(x,T(y,K(z,z \ x))) != u | K(x,y) = u. [para(5661(a,1),9329(a,1,1))]. given #8115 (H,wt=16): 9340 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(129(a,1),9339(a,1,2,1))]. given #8116 (H,wt=16): 9342 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(7849(a,1),9339(a,1))]. given #8117 (H,wt=16): 9343 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(8253(a,2),9339(a,1))]. given #8118 (H,wt=14): 9349 K(x \ (x * y),z) != u | K(y,z) = u. [para(7584(a,1),9343(a,1))]. given #8119 (H,wt=14): 9350 K((x / y) \ x,z) != u | K(y,z) = u. [para(21(a,1),9349(a,1,1,2))]. given #8120 (H,wt=14): 9351 K(x,y) != z | K((u / x) \ u,y) = z. [para(232(a,1),9349(a,1,1))]. given #8121 (H,wt=14): 9352 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(5889(a,1),9349(a,1))]. given #8122 (H,wt=14): 9353 K(T(x,x \ 1),y) != z | K(x,y) = z. [para(128(a,2),9352(a,1,1))]. given #8123 (H,wt=16): 9344 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(8254(a,1),9339(a,1))]. given #8124 (H,wt=17): 9337 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(773(a,1),9329(a,1,1))]. given #8125 (H,wt=18): 9330 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(43(a,1),9329(a,1,2))]. given #8126 (H,wt=19): 9341 K(x,T(T(y,z),z * x)) != u | K(L(x,w,x),y) = u. [para(7885(a,1),9339(a,1))]. given #8127 (H,wt=20): 9331 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(45(a,2),9329(a,1,1))]. given #8128 (H,wt=20): 9332 K(T(x,y),L(T(z,y),u,w)) != v5 | K(x,L(z,u,w)) = v5. [para(45(a,2),9329(a,1,2))]. given #8129 (H,wt=20): 9333 K(R(T(x,y),z,u),T(w,y)) != v5 | K(R(x,z,u),w) = v5. [para(47(a,2),9329(a,1,1))]. given #8130 (H,wt=20): 9334 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(47(a,2),9329(a,1,2))]. given #8131 (H,wt=20): 9345 K(R(x,y,z),T(u,w)) != v5 | K(R(T(x,w),y,z),u) = v5. [para(8250(a,1),9339(a,1))]. given #8132 (H,wt=20): 9347 K(x,T(y \ (x * z),z)) != u | K(x,(x * z) / y) = u. [para(7683(a,1),9342(a,1))]. given #8133 (H,wt=20): 9354 K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. [para(138(a,1),9344(a,1,2))]. given #8134 (H,wt=20): 9356 L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. [para(9110(a,2),9331(a,1))]. given #8135 (H,wt=13): 9358 K(x,y) != z | K(L(x,u,x),y) = z. [para(7413(a,1),9356(a,1))]. given #8136 (H,wt=20): 9357 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(8272(a,2),9334(a,1))]. given #8137 (H,wt=18): 9359 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(126(a,1),9357(a,1,2,1))]. given #8138 (H,wt=21): 9165 T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). [para(9153(a,1),7599(a,1,2)),flip(a)]. given #8139 (H,wt=21): 9199 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(6718(a,1),9130(a,1,1)),flip(a)]. given #8140 (H,wt=20): 9360 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(255,a,7027,a(flip),b,9199,a)]. given #8141 (H,wt=15): 9361 (x / y) * a(y,z,y) = x / L(y,z,y). [para(9154(a,1),9360(a,1,2))]. given #8142 (H,wt=11): 9362 L(x,y,x) \ x = a(x,y,x). [hyper(22,a,7133,a,b,9361,a),flip(a)]. given #8143 (H,wt=11): 9366 a(x,y,x) \ x = L(x,y,x). [para(9362(a,1),6466(a,1,1))]. given #8144 (H,wt=13): 9364 L(x,y,x) \ x = x \ R(x,y,x). [hyper(255,a,9153,a,b,9362,a)]. given #8145 (H,wt=13): 9365 L(x,y,x) \ 1 = x \ a(x,y,x). [hyper(80,a,9362,a(flip),b,1424,a),flip(a)]. given #8146 (H,wt=15): 9363 (x * y) / L(y,z,y) = x * a(y,z,y). [para(20(a,1),9361(a,1,1)),flip(a)]. given #8147 (H,wt=15): 9367 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(255,a,7262,a,b,9364,a(flip)),flip(a)]. given #8148 (H,wt=15): 9369 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(255,a,1836,a(flip),b,9363,a(flip)),flip(a)]. given #8149 (H,wt=15): 9370 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [para(9363(a,1),73(a,1,1))]. given #8150 (H,wt=15): 9371 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(255,a,7739,a(flip),b,9369,a(flip)),flip(a)]. given #8151 (H,wt=15): 9372 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(20(a,1),9369(a,1,1)),flip(a)]. given #8152 (H,wt=15): 9375 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(255,a,1423,a,b,9371,a(flip)),flip(a)]. given #8153 (H,wt=15): 9377 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(9375(a,1),19(a,1,2))]. given #8154 (H,wt=15): 9378 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(21(a,1),9377(a,1,2)),flip(a)]. given #8155 (H,wt=15): 9379 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(22,a,1421,a,b,9378,a),flip(a)]. given #8156 (H,wt=15): 9380 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(80,a,9379,a(flip),b,7741,a(flip))]. given #8157 (H,wt=19): 9374 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(255,a,8751,a,b,9371,a(flip)),flip(a)]. given #8158 (H,wt=21): 9248 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(5217(a,1),8328(a,1,1,1,2))]. given #8159 (H,wt=21): 9255 K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)). [hyper(255,a,8138,a,b,8410,a)]. given #8160 (H,wt=21): 9261 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(8141(a,1),9258(a,1,1)),flip(a)]. given #8161 (H,wt=21): 9279 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(5037(a,2),8643(a,1,2))]. given #8162 (H,wt=21): 9288 K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). [hyper(255,a,7566,a,b,8827,a(flip)),flip(a)]. given #8163 (H,wt=21): 9295 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(9294(a,1),5291(a,2,2,2)),flip(a)]. given #8164 (H,wt=17): 9385 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(5406,a,9295,a),flip(a)]. given #8165 (H,wt=17): 9386 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(255,a,7518,a,b,9385,a(flip)),flip(a)]. given #8166 (H,wt=21): 9296 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(255,a,8138,a(flip),b,8928,a)]. given #8167 (H,wt=21): 9297 K(x,T(y \ T(T(x,z),u),w)) = K(T(x,w),y \ T(x,u)). [hyper(255,a,7542,a,b,8971,a)]. given #8168 (H,wt=21): 9300 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(9023(a,1),6713(a,1,2)),flip(a)]. given #8169 (H,wt=21): 9304 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1951(a,2),9035(a,1,2))]. given #8170 (H,wt=21): 9305 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(255,a,8061,a(flip),b,9038,a)]. given #8171 (H,wt=21): 9306 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(255,a,47,a,b,9039,a)]. given #8172 (H,wt=21): 9368 K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(9365(a,1),7207(a,1,1,2))]. given #8173 (H,wt=21): 9376 K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z). [para(9371(a,1),5272(a,1,2))]. given #8174 (H,wt=21): 9382 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(9374(a,1),5226(a,1,2))]. given #8175 (H,wt=21): 9383 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(9248(a,1),21(a,1,1))]. given #8176 (H,wt=21): 9389 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(9383(a,1),5605(a,1,2))]. given #8177 (H,wt=22): 7529 T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x). [para(7524(a,1),5707(a,1,2))]. given #8178 (H,wt=18): 9393 L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x). [para(8188(a,1),7529(a,1,1)),flip(a)]. given #8179 (H,wt=13): 9394 L(x,T(y,K(x,z)),x) = L(x,y,x). [hyper(255,a,5707,a(flip),b,9393,a)]. given #8180 (H,wt=13): 9396 L(x,T(y,T(x,z)),x) = L(x,y,x). [hyper(255,a,7865,a(flip),b,9394,a(flip)),flip(a)]. given #8181 (H,wt=17): 9398 L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). [para(129(a,1),9396(a,1,2)),flip(a)]. given #8182 (H,wt=22): 7543 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(255,a,7004,a,b,7539,a),flip(a)]. given #8183 (H,wt=22): 7561 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7539(a,2),565(a,1,2,2))]. given #8184 (H,wt=22): 7602 T(x,y) * K(x,T(z,y)) != u * w | u \ T(T(x,y),z) = w. [para(7542(a,1),5258(a,1,2))]. given #8185 (H,wt=22): 7619 K(x,R(T(y / z,y * u),z,u)) = K(x,(z * u) \ (y * u)). [para(475(a,1),7504(a,1,2))]. given #8186 (H,wt=22): 7705 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(190(a,1),7424(a,1,2,1)),flip(a)]. given #8187 (H,wt=22): 7734 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(7464(a,1),1319(a,1,1))]. given #8188 (H,wt=22): 7853 x \ (y * T(x,z)) != K(x,z) * u | T(T(y,x),K(x,z)) = u. [para(7842(a,2),173(a,2)),flip(a)]. given #8189 (H,wt=22): 7889 x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). [para(383(a,1),7876(a,2,1))]. given #8190 (H,wt=19): 9402 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(255,a,493,a(flip),b,7889,a(flip))]. given #8191 (H,wt=22): 7915 K(x * y,T(y,z * (y * x))) != u | K(y * x,T(y,z)) = u. [para(6408(a,2),7914(a,1))]. given #8192 (H,wt=22): 7926 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1956(a,1),7583(a,1,1)),flip(a)]. given #8193 (H,wt=22): 7947 T(x,y) * T(z,x) != x * u | T(T(x,y) * (x \ z),x) = u. [para(7812(a,1),173(a,2)),flip(a)]. given #8194 (H,wt=22): 7968 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(7967(a,1),5253(a,1,2,1)),flip(a)]. given #8195 (H,wt=17): 9405 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(255,a,5253,a(flip),b,7968,a)]. given #8196 (H,wt=17): 9406 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(7525(a,1),9405(a,1,2))]. given #8197 (H,wt=20): 9407 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(6475(a,1),9406(a,1,2,1))]. given #8198 (H,wt=22): 7993 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7982(a,1),6729(a,1,1)),flip(a)]. given #8199 (H,wt=20): 9409 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(8013(a,1),7993(a,2,2))]. given #8200 (H,wt=17): 9410 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(255,a,5946,a(flip),b,9409,a)]. given #8201 (H,wt=15): 9412 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(9166,a,9410,a)]. given #8202 (H,wt=16): 9413 a(x,y * K(x,z),x) != u | a(x,y,x) = u. [para(9412(a,2),9166(a,1))]. given #8203 (H,wt=22): 8078 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(2807(a,1),8062(a,1,2,1)),flip(a)]. given #8204 (H,wt=22): 8125 (x * K(y,z)) * K(y,K(z,u)) != w | x * T(K(y,z),u) = w. [para(8100(a,1),6621(a,1,2))]. given #8205 (H,wt=22): 8299 L(K(x \ y,T(z,u * y)),y,u) = K((u * y) / (u * x),z). [hyper(7074,a,8243,a)]. given #8206 (H,wt=22): 8303 (K(x,T(y,z)) * u) * (u \ z) = z * R(K(x,y),u,u \ z). [para(8246(a,1),776(a,1,1,1))]. given #8207 (H,wt=22): 8304 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(8246(a,1),769(a,1,1)),flip(a)]. given #8208 (H,wt=22): 8319 K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). [para(33(a,2),8255(a,1,2,1)),flip(a)]. given #8209 (H,wt=22): 8557 K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. [para(8229(a,1),8350(a,1))]. given #8210 (H,wt=22): 8562 K(x,K(y,z * K(u,w))) != v5 | K(x,K(y,K(w,u) / z)) = v5. [para(6704(a,1),8469(a,1,2))]. given #8211 (H,wt=22): 8597 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1795(a,1),8260(a,1,1))]. given #8212 (H,wt=22): 8598 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1795(a,1),8261(a,1,2))]. given #8213 (H,wt=22): 8671 K(x \ 1,((x \ 1) \ 1) * y) != z | K(x \ 1,x * y) = z. [para(2987(a,1),8666(a,1,2))]. given #8214 (H,wt=20): 9418 K(x \ 1,(x \ 1) \ y) != z | K(x \ 1,x * y) = z. [para(4690(a,1),8671(a,1))]. given #8215 (H,wt=22): 8687 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(8169(a,2),8120(a,1,2))]. given #8216 (H,wt=22): 8691 K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. [para(7783(a,1),8353(a,1,2))]. given #8217 (H,wt=22): 8698 K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. [para(6098(a,2),8694(a,1))]. given #8218 (H,wt=22): 8739 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(3053(a,1),7652(a,1,2,2))]. given #8219 (H,wt=22): 8742 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) != w | K(x,u) = w. [para(7691(a,1),222(a,1,2)),flip(b)]. given #8220 (H,wt=22): 8771 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(29(a,2),8765(a,1,2)),flip(a)]. given #8221 (H,wt=21): 9421 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(574(a,1),8771(a,1,2))]. given #8222 (H,wt=10): 9422 K(x,a(K(x,y),z,u)) = 1. [hyper(255,a,5981,a(flip),b,9421,a(flip))]. given #8223 (H,wt=10): 9424 T(x,a(K(x,y),z,u)) = x. [hyper(42,a,9422,a)]. given #8224 (H,wt=14): 9426 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(9424(a,1),43(a,1,1)),flip(a)]. given #8225 (H,wt=15): 9425 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(40,a,9424,a)]. given #8226 (H,wt=17): 9427 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(9424(a,1),127(a,1,2))]. given #8227 (H,wt=21): 9428 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(9424(a,1),7525(a,1,2,1)),flip(a)]. given #8228 (H,wt=21): 9429 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(9425(a,1),7525(a,1,2,1)),flip(a)]. given #8229 (H,wt=22): 8780 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ R(x,z,z \ 1)). [para(6295(a,1),8774(a,1,2,2)),flip(a)]. given #8230 (H,wt=22): 8816 K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. [para(8114(a,2),8694(a,1))]. given #8231 (H,wt=22): 8838 K(x \ (y \ z),y) * z != z * u | K(z / (y * x),y) = u. [para(8398(a,2),24(a,1))]. given #8232 (H,wt=22): 8846 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(w,u))). [para(8843(a,1),112(a,1,2))]. given #8233 (H,wt=22): 8848 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). [para(8844(a,1),112(a,1,2))]. given #8234 (H,wt=22): 8853 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(w,K(z,u))). [para(8845(a,1),112(a,1,2))]. given #8235 (H,wt=22): 8856 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(241(a,1),8850(a,2,2,2))]. given #8236 (H,wt=22): 8912 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(175(a,1),8908(a,1,1)),flip(a)]. given #8237 (H,wt=22): 8920 K(x,T(y,z)) * u != K(x,K(y,z)) * w | K(x,y) * u = w. [para(8736(a,1),24(a,1))]. given #8238 (H,wt=22): 8930 K(x,((1 / y) * y) \ (x \ z)) = K(x,L(x,y,y \ 1) \ z). [para(3043(a,1),8750(a,1,2,1)),flip(a)]. given #8239 (H,wt=16): 9433 K(x,L(x,y,y \ 1) \ z) = K(x,x \ z). [para(133(a,1),8930(a,1,2)),flip(a)]. given #8240 (H,wt=22): 8963 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [hyper(255,a,6232,a(flip),b,8892,a)]. given #8241 (H,wt=22): 8999 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(5354(a,1),8998(a,1,2,2))]. given #8242 (H,wt=22): 9000 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(80,a,8808,a(flip),b,5545,a),flip(a)]. given #8243 (H,wt=22): 9008 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(80,a,8871,a(flip),b,5545,a),flip(a)]. given #8244 (H,wt=22): 9009 K(x,y) * K(y * R(x,z,u),x) = x \ R(x,y,R(x,z,u)). [hyper(80,a,8871,a(flip),b,5220,a),flip(a)]. given #8245 (H,wt=22): 9076 x * R(K(x,K(y,z)),u,w) != v5 | T(x,R(K(y,z),u,w)) = v5. [para(9073(a,2),5255(a,1,2))]. given #8246 (H,wt=22): 9097 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [hyper(255,a,7032,a(flip),b,9093,a(flip))]. given #8247 (H,wt=22): 9098 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(9093(a,1),112(a,1,2))]. given #8248 (H,wt=22): 9108 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(255,a,6988,a(flip),b,9105,a(flip))]. given #8249 (H,wt=22): 9157 K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x). [hyper(255,a,7301,a,b,9153,a(flip)),flip(a)]. given #8250 (H,wt=22): 9194 T(x,y \ x) \ ((x \ (y \ x)) \ (y \ x)) = a(x,y \ 1,x). [hyper(255,a,9190,a(flip),b,9193,a(flip)),flip(a)]. given #8251 (H,wt=22): 9195 x * K(y,z) != u * K(w,z) | u * (K(w,z) * K(z,y)) = x. [para(9126(a,1),25(a,2)),flip(b)]. given #8252 (H,wt=22): 9212 (x * (K(y,z) * K(u,y))) * w != x | K(z,y) * K(y,u) = w. [para(9208(a,1),24(a,1)),flip(a)]. given #8253 (H,wt=22): 9213 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(9208(a,1),304(a,1,1)),flip(b)]. given #8254 (H,wt=22): 9270 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(123(a,1),9269(a,1,1)),flip(a)]. given #8255 (H,wt=22): 9308 T(x / y,z) * T(y,K(x,z)) != x * u | K(x / y,z) = u. [para(9307(a,2),24(a,1))]. given #8256 (H,wt=22): 9346 K(x,K(y \ x,y) * z) != u | K(x,z * K(y \ x,y)) = u. [para(6686(a,1),9338(a,1,2))]. given #8257 (H,wt=22): 9381 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(9374(a,2),24(a,1))]. given #8258 (H,wt=22): 9399 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(7539(a,2),7543(a,1,1))]. given #8259 (H,wt=19): 9443 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(6587,a,9399,a)]. given #8260 (H,wt=17): 9444 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(255,a,8716,a(flip),b,9443,a)]. given #8261 (H,wt=17): 9446 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(18(a,1),9444(a,1,2,1,1)),flip(a)]. given #8262 (H,wt=19): 9447 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(4524(a,1),9446(a,1,2,1)),flip(a)]. given #8263 (H,wt=20): 9445 K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. [para(9443(a,2),8730(a,1))]. given #8264 (H,wt=22): 9404 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(255,a,7542,a(flip),b,7926,a)]. given #8265 (H,wt=16): 9449 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(255,a,9037,a(flip),b,9404,a(flip)),flip(a)]. given #8266 (H,wt=16): 9451 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(21(a,1),9449(a,1,2,2)),flip(a)]. given #8267 (H,wt=16): 9452 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(255,a,8558,a(flip),b,9451,a(flip)),flip(a)]. given #8268 (H,wt=16): 9454 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(18(a,1),9452(a,1,2,2)),flip(a)]. given #8269 (H,wt=17): 9455 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(149(a,1),9452(a,1,2,2)),flip(a)]. given #8270 (H,wt=17): 9459 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(255,a,8840,a,b,9455,a(flip)),flip(a)]. given #8271 (H,wt=20): 9457 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(255,a,8115,a,b,9454,a)]. given #8272 (H,wt=16): 9461 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8356,a,9457,a)]. given #8273 (H,wt=16): 9463 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(19(a,1),9461(a,1,2,2)),flip(a)]. given #8274 (H,wt=16): 9465 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(8504,a,9463,a)]. given #8275 (H,wt=16): 9466 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(73(a,1),9465(a,1,2,2)),flip(a)]. given #8276 (H,wt=16): 9467 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(8502,a,9466,a),flip(a)]. given #8277 (H,wt=17): 9464 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(122(a,1),9461(a,1,2,2))]. given #8278 (H,wt=17): 9468 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(8136,a,9464,a)]. given #8279 (H,wt=19): 9462 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(9457(a,2),8353(a,1))]. given #8280 (H,wt=16): 9470 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(332(a,1),9462(a,1,2,2,1))]. given #8281 (H,wt=21): 9469 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(9464(a,1),8170(a,1,1))]. given #8282 (H,wt=17): 9471 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(8433,a,9469,a),flip(a)]. given #8283 (H,wt=17): 9472 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(19(a,1),9471(a,1,2,2,1)),flip(a)]. given #8284 (H,wt=17): 9473 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(9470,a,9472,a),flip(a)]. given #8285 (H,wt=19): 9474 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(21(a,1),9473(a,1,2,2)),flip(a)]. given #8286 (H,wt=22): 9414 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [hyper(255,a,4983,a(flip),b,8078,a)]. given #8287 (H,wt=22): 9417 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(9330,a,8597,a),flip(a)]. given #8288 (H,wt=16): 9476 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(255,a,9014,a(flip),b,9417,a(flip)),flip(a)]. given #8289 (H,wt=16): 9479 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(19(a,1),9476(a,1,2,2)),flip(a)]. given #8290 (H,wt=16): 9480 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(255,a,7913,a,b,9479,a(flip)),flip(a)]. given #8291 (H,wt=17): 9478 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(255,a,8999,a(flip),b,9476,a(flip)),flip(a)]. given #8292 (H,wt=17): 9482 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(483(a,1),9480(a,1,2,2))]. given #8293 (H,wt=17): 9484 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(255,a,8418,a(flip),b,9478,a(flip)),flip(a)]. given #8294 (H,wt=17): 9485 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(19(a,1),9484(a,1,2,2,2)),flip(a)]. given #8295 (H,wt=22): 9419 K(x,K(y,z)) * (K(z,x) * u) != w | K(z,T(x,y)) * u = w. [para(8134(a,1),8698(a,1,1))]. given #8296 (H,wt=22): 9420 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(5807(a,1),8739(a,1,2))]. given #8297 (H,wt=20): 9487 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(8247,a,9420,a)]. given #8298 (H,wt=22): 9437 K(x,y) * (y \ R(y,x,L(y,z,u))) = K(x * L(y,z,u),y). [para(9000(a,1),5626(a,1,2))]. given #8299 (H,wt=22): 9440 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(7509(a,1),9098(a,2,2))]. given #8300 (H,wt=22): 9442 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(9339,a,9270,a)]. given #8301 (H,wt=19): 9489 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(255,a,7641,a(flip),b,9442,a),flip(a)]. given #8302 (H,wt=15): 9490 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(73(a,1),9489(a,1,1,1)),flip(a)]. given #8303 (H,wt=15): 9491 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(20(a,1),9490(a,1,1,2)),flip(a)]. given #8304 (H,wt=13): 9493 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(9359,a,9491,a),flip(a)]. given #8305 (H,wt=15): 9496 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [para(9493(a,2),5252(a,2,2)),flip(a)]. given #8306 (H,wt=16): 9495 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(9491(a,1),9359(a,1))]. given #8307 (H,wt=22): 9475 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(19(a,1),9414(a,1,2,2)),flip(a)]. given #8308 (H,wt=23): 7535 K(x,T(y,L(y,z,u) * (y \ w))) = K(x,T(y,L(y,z,u) * w)). [para(1421(a,1),7485(a,1,2,2)),flip(a)]. given #8309 (H,wt=23): 7571 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7539(a,2),6247(a,2,2))]. given #8310 (H,wt=23): 7579 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(255,a,6052,a,b,7542,a(flip)),flip(a)]. given #8311 (H,wt=23): 7612 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [para(7542(a,1),7236(a,1,2)),flip(a)]. given #8312 (H,wt=23): 7630 (x * (K(y,z) * u)) \ (x * u) != w | L(K(z,T(y,u)),u,x) = w. [para(7525(a,1),7086(a,1,1,2))]. given #8313 (H,wt=23): 7674 (K(x,y) * T(T(y,z),u)) * w = K(x,y) * (T(T(y,z),u) * w). [para(7668(a,1),112(a,1,2))]. given #8314 (H,wt=14): 9501 R(K(x,y),T(T(y,z),u),w) = K(x,y). [hyper(5091,a,7674,a)]. given #8315 (H,wt=23): 7693 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(685(a,1),7457(a,1,2,2))]. given #8316 (H,wt=21): 9503 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(8612,a,7693,a)]. given #8317 (H,wt=19): 9504 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(8346,a,9503,a),flip(a)]. given #8318 (H,wt=23): 7696 K(x \ 1,x) * K(y,T(x,z)) = (x \ 1) * (x * K(y,T(x,z))). [para(7615(a,1),433(a,1,2))]. given #8319 (H,wt=23): 7697 K(x,T(y,z)) * K(y \ 1,y) = (y \ 1) * (y * K(x,T(y,z))). [para(7615(a,1),2278(a,1,1))]. given #8320 (H,wt=23): 7774 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(7772(a,1),7209(a,1,1,1)),flip(a)]. given #8321 (H,wt=23): 7785 R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). [para(7581(a,1),2100(a,1,2))]. given #8322 (H,wt=23): 7831 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = T(u / z,x) * z. [para(7817(a,1),1719(a,1,1)),flip(a)]. given #8323 (H,wt=23): 7966 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7959(a,1),4783(a,1,3))]. given #8324 (H,wt=21): 9508 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5556(a,1),7966(a,1,2))]. given #8325 (H,wt=19): 9509 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5556(a,1),9508(a,2,2))]. given #8326 (H,wt=22): 9510 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(9509(a,1),418(a,1,2)),flip(a)]. given #8327 (H,wt=22): 9511 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(4458(a,1),9510(a,1,2,1))]. given #8328 (H,wt=22): 9512 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(4458(a,1),9511(a,2,2,2))]. given #8329 (H,wt=23): 7975 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(7970(a,1),183(a,1,2,1))]. given #8330 (H,wt=23): 7977 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(7970(a,1),4462(a,1,2,1))]. given #8331 (H,wt=23): 8092 (x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x. [hyper(255,a,5302,a(flip),b,7839,a)]. given #8332 (H,wt=19): 9515 (x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x. [para(5392(a,1),8092(a,1,2,2))]. given #8333 (H,wt=23): 8126 (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. [para(8100(a,1),7087(a,1,2))]. given #8334 (H,wt=23): 8316 K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). [para(8254(a,1),6715(a,1,2)),flip(a)]. given #8335 (H,wt=21): 9517 (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). [para(8254(a,1),8316(a,1,1)),flip(a)]. given #8336 (H,wt=17): 9518 K(1 / x,y) / (x \ 1) = x * K(1 / x,y). [hyper(302,a,9517,a),flip(a)]. given #8337 (H,wt=17): 9519 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). [hyper(255,a,6356,a(flip),b,9518,a(flip)),flip(a)]. given #8338 (H,wt=17): 9520 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(5417(a,1),9519(a,1,2))]. given #8339 (H,wt=21): 9521 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(6003(a,1),9520(a,2,2))]. given #8340 (H,wt=23): 8325 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(4454(a,1),8263(a,1,1))]. given #8341 (H,wt=21): 9522 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(7699,a,8325,a)]. given #8342 (H,wt=23): 8357 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(7247(a,1),8115(a,1,2,2))]. given #8343 (H,wt=17): 9524 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(22,a,8637,a,b,8357,a)]. given #8344 (H,wt=17): 9525 K(x,K(y,z \ (u * x))) = K(y,K(x,z \ u)). [hyper(8136,a,9524,a)]. given #8345 (H,wt=17): 9526 K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). [hyper(255,a,8134,a,b,9524,a)]. given #8346 (H,wt=17): 9528 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(7802(a,1),9524(a,1,2)),flip(a)]. given #8347 (H,wt=17): 9529 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(255,a,8134,a,b,9525,a)]. given #8348 (H,wt=17): 9531 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(255,a,9504,a,b,9529,a(flip)),flip(a)]. given #8349 (H,wt=17): 9533 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(255,a,8431,a(flip),b,9531,a(flip)),flip(a)]. given #8350 (H,wt=17): 9534 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(8504,a,9533,a)]. given #8351 (H,wt=19): 9536 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(255,a,9296,a,b,9534,a(flip)),flip(a)]. given #8352 (H,wt=19): 9537 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(8176,a,9536,a)]. given #8353 (H,wt=21): 9530 K(x,K(T(y,z),u \ (y * z))) = K(T(y,z),K(x,u \ z)). [para(127(a,1),9526(a,1,2,2,2))]. given #8354 (H,wt=21): 9535 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [para(9533(a,1),8115(a,1,2))]. given #8355 (H,wt=17): 9539 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [hyper(8353,a,9535,a),flip(a)]. given #8356 (H,wt=17): 9540 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(255,a,8554,a(flip),b,9539,a(flip)),flip(a)]. given #8357 (H,wt=17): 9541 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [para(18(a,1),9539(a,1,2,2,1)),flip(a)]. given #8358 (H,wt=17): 9542 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(19(a,1),9540(a,1,2,2,2)),flip(a)]. given #8359 (H,wt=21): 9538 K(x,K(y,T(z \ (y * u),u))) = K(T(y,u),K(x,z \ u)). [para(7542(a,1),9530(a,1,2))]. given #8360 (H,wt=19): 9544 K(T(x,y),K(z,u \ y)) = K(z,K(x,(x * y) / u)). [para(8307(a,1),9538(a,1,2)),flip(a)]. given #8361 (H,wt=19): 9545 K(T(x,y),K(z,u \ y)) = K(x,K(z,(x * y) / u)). [hyper(255,a,8134,a,b,9544,a)]. given #8362 (H,wt=19): 9546 K(x,K(T(y,z),u \ z)) = K(y,K(x,(y * z) / u)). [hyper(8136,a,9545,a)]. given #8363 (H,wt=17): 9547 K(x,K(y,(x * z) / u)) = K(y,K(x,z / u)). [para(8257(a,1),9546(a,1,2)),flip(a)]. given #8364 (H,wt=20): 9548 K(x,K(y,(x * z) / u)) != w | K(x,K(y,z / u)) = w. [para(9547(a,2),8136(a,1))]. given #8365 (H,wt=22): 9543 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(29(a,2),9541(a,1,2,2)),flip(a)]. given #8366 (H,wt=21): 9549 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(574(a,1),9543(a,1,2,2))]. given #8367 (H,wt=12): 9550 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(9337,a,9549,a),flip(a)]. given #8368 (H,wt=14): 9553 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(9550(a,1),5252(a,2,2))]. given #8369 (H,wt=12): 9554 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(255,a,5252,a,b,9553,a)]. given #8370 (H,wt=17): 9551 K(x,y / a(x,z,u)) = K(x,a(x,z,u) \ y). [hyper(9340,a,9550,a)]. given #8371 (H,wt=23): 8379 K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). [para(7585(a,1),8171(a,1,2,2))]. given #8372 (H,wt=23): 8384 T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). [para(8197(a,1),182(a,1,2,1)),flip(a)]. given #8373 (H,wt=23): 8414 (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). [para(7943(a,1),8289(a,1,1,2))]. given #8374 (H,wt=19): 9557 T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). [hyper(255,a,8289,a(flip),b,8414,a(flip))]. given #8375 (H,wt=23): 8416 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(8293(a,2),6382(a,1,2))]. given #8376 (H,wt=17): 9558 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(9357,a,8416,a),flip(a)]. given #8377 (H,wt=15): 9560 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(5194(a,1),9558(a,1,2,2)),flip(a)]. given #8378 (H,wt=15): 9562 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(255,a,6383,a,b,9560,a(flip)),flip(a)]. given #8379 (H,wt=17): 9561 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(7559(a,1),9558(a,1,2,2))]. given #8380 (H,wt=17): 9563 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(19(a,1),9562(a,1,2))]. given #8381 (H,wt=21): 9564 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(9561(a,1),6670(a,1,1,2)),flip(a)]. given #8382 (H,wt=17): 9566 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(255,a,6670,a(flip),b,9564,a)]. given #8383 (H,wt=17): 9568 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(5608(a,1),9566(a,1,1,2)),flip(a)]. given #8384 (H,wt=19): 9567 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(255,a,7210,a(flip),b,9566,a(flip)),flip(a)]. given #8385 (H,wt=17): 9570 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(255,a,7206,a(flip),b,9567,a)]. given #8386 (H,wt=17): 9571 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(5288(a,1),9570(a,1,2))]. given #8387 (H,wt=22): 9573 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(9571(a,1),6460(a,1,1))]. given #8388 (H,wt=23): 8457 (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. [hyper(80,a,8442,a(flip),b,6068,a(flip))]. given #8389 (H,wt=23): 8463 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(6225(a,1),8448(a,1,2)),flip(a)]. given #8390 (H,wt=23): 8583 K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). [para(4419(a,1),8073(a,1,1,2)),flip(a)]. given #8391 (H,wt=23): 8591 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(8481(a,1),8224(a,1,1))]. given #8392 (H,wt=21): 9576 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(255,a,6055,a(flip),b,8591,a)]. given #8393 (H,wt=23): 8642 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(8608(a,2),7559(a,2,1)),flip(a)]. given #8394 (H,wt=23): 8721 K(x,(y \ R(x,z,z \ 1)) / a(x,z,z \ 1)) = K(x,y \ x). [para(644(a,1),8717(a,1,2,1,2))]. given #8395 (H,wt=23): 8733 T(K(x,y) * (z * K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * z). [para(7465(a,1),8196(a,1,1))]. given #8396 (H,wt=23): 8735 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(7614(a,1),7568(a,1,1,2)),flip(a)]. given #8397 (H,wt=21): 9580 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(255,a,6780,a(flip),b,8735,a(flip))]. given #8398 (H,wt=23): 8745 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(7754(a,1),8199(a,1,2))]. given #8399 (H,wt=23): 8746 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(27,a,7762,a)]. given #8400 (H,wt=23): 8793 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(8792(a,1),6082(a,1,2,1))]. given #8401 (H,wt=23): 8795 K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). [para(6686(a,1),8775(a,1,2,1))]. given #8402 (H,wt=17): 9583 K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). [hyper(255,a,7270,a(flip),b,8795,a)]. given #8403 (H,wt=17): 9585 K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). [hyper(255,a,6995,a(flip),b,9583,a(flip)),flip(a)]. given #8404 (H,wt=15): 9586 K(x,y \ (z * (x / z))) = K(x,y \ x). [para(5271(a,1),9585(a,1,2,2))]. given #8405 (H,wt=15): 9587 K(x,y \ ((z \ x) * z)) = K(x,y \ x). [para(70(a,1),9586(a,1,2,2,2))]. given #8406 (H,wt=23): 8798 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(7851(a,1),7323(a,1,3,2))]. given #8407 (H,wt=23): 8836 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4563(a,1),8371(a,1,2,2,2))]. given #8408 (H,wt=19): 9589 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(8687,a,8836,a),flip(a)]. given #8409 (H,wt=23): 8842 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(5896(a,1),8458(a,2,2))]. given #8410 (H,wt=21): 9591 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(255,a,8436,a(flip),b,8842,a)]. given #8411 (H,wt=17): 9592 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(73(a,1),9591(a,1,2,2,1,2))]. given #8412 (H,wt=17): 9593 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(255,a,5807,a(flip),b,9592,a(flip)),flip(a)]. given #8413 (H,wt=23): 8907 K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). [para(5787(a,1),8900(a,1,1,2))]. given #8414 (H,wt=23): 8913 K(T(x,y * (z * K(u,w))),w) = (v5 * K(w,T(x,y * z))) \ v5. [para(8693(a,1),6670(a,1,1,2)),flip(a)]. given #8415 (H,wt=19): 9594 K(T(x,y * (z * K(u,w))),w) = K(x,T(w,y * z)). [hyper(255,a,7578,a(flip),b,8913,a)]. given #8416 (H,wt=22): 9595 K(T(x,y * (z * K(u,w))),w) != v5 | K(x,T(w,y * z)) = v5. [para(8913(a,2),7608(a,1))]. given #8417 (H,wt=23): 8921 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(8223(a,1),8736(a,1,1))]. given #8418 (H,wt=23): 8931 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(8750(a,1),6670(a,1,1,2))]. given #8419 (H,wt=19): 9597 K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). [hyper(6693,a,8931,a),flip(a)]. given #8420 (H,wt=19): 9598 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(255,a,8892,a(flip),b,9597,a(flip)),flip(a)]. given #8421 (H,wt=23): 8956 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(8955(a,1),8819(a,1,2))]. given #8422 (H,wt=23): 8972 K(x,y \ (((z / x) * u) * w)) = K(x,y \ (((x \ z) * u) * w)). [para(6957(a,1),8936(a,1,2,2,1))]. given #8423 (H,wt=23): 9055 T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). [para(5788(a,1),9053(a,1,2))]. given #8424 (H,wt=21): 9601 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). [hyper(255,a,8368,a(flip),b,9055,a(flip)),flip(a)]. given #8425 (H,wt=21): 9602 T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). [para(129(a,1),9055(a,2,2,2))]. given #8426 (H,wt=19): 9603 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). [hyper(255,a,8527,a(flip),b,9602,a(flip)),flip(a)]. given #8427 (H,wt=17): 9604 T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). [hyper(255,a,9601,a(flip),b,9603,a(flip)),flip(a)]. given #8428 (H,wt=17): 9605 T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). [hyper(9054,a,9604,a)]. given #8429 (H,wt=17): 9606 T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). [para(70(a,1),9605(a,1,2,1,2)),flip(a)]. given #8430 (H,wt=17): 9607 T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). [hyper(255,a,8644,a(flip),b,9606,a(flip))]. given #8431 (H,wt=19): 9608 T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). [hyper(255,a,8629,a,b,9607,a(flip)),flip(a)]. given #8432 (H,wt=23): 9077 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [para(21(a,1),8167(a,1,2,1))]. given #8433 (H,wt=23): 9174 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(255,a,1966,a,b,9164,a(flip)),flip(a)]. given #8434 (H,wt=22): 9609 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(9164(a,1),9174(a,1,1)),flip(a)]. given #8435 (H,wt=23): 9205 (x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))). [para(9204(a,1),112(a,1,2))]. given #8436 (H,wt=23): 9222 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). [para(9220(a,1),5143(a,2,2))]. given #8437 (H,wt=21): 9610 x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). [hyper(255,a,2212,a(flip),b,9222,a)]. given #8438 (H,wt=19): 9611 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [para(5552(a,1),9610(a,1,2))]. given #8439 (H,wt=17): 9612 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(7434(a,1),9611(a,1,2)),flip(a)]. given #8440 (H,wt=19): 9613 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(255,a,7481,a,b,9612,a(flip)),flip(a)]. given #8441 (H,wt=23): 9287 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(18(a,1),8743(a,1,1,1,1)),flip(a)]. given #8442 (H,wt=20): 9615 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(255,a,9011,a(flip),b,9287,a(flip))]. given #8443 (H,wt=23): 9289 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(4524(a,1),8828(a,1,2,1))]. given #8444 (H,wt=21): 9616 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(9303(a,1),9289(a,2,2))]. given #8445 (H,wt=21): 9617 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(255,a,8828,a,b,9616,a),flip(a)]. given #8446 (H,wt=19): 9618 T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). [hyper(255,a,8865,a(flip),b,9617,a(flip))]. given #8447 (H,wt=19): 9619 T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). [hyper(255,a,8958,a,b,9618,a(flip)),flip(a)]. given #8448 (H,wt=19): 9620 T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). [para(128(a,1),9619(a,1,2,1))]. given #8449 (H,wt=23): 9302 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(5375(a,1),9301(a,2,1))]. given #8450 (H,wt=19): 9622 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(5375(a,1),9302(a,1,1,1))]. given #8451 (H,wt=19): 9623 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(6559,a,9622,a),flip(a)]. given #8452 (H,wt=23): 9311 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(9070(a,2),8173(a,1,1))]. given #8453 (H,wt=21): 9626 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(8439(a,1),9311(a,1,1,1)),flip(a)]. given #8454 (H,wt=21): 9627 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(9073(a,1),9626(a,2,1))]. given #8455 (H,wt=19): 9628 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(255,a,5263,a,b,9627,a)]. given #8456 (H,wt=17): 9629 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(255,a,8507,a(flip),b,9628,a(flip))]. given #8457 (H,wt=17): 9630 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(255,a,9320,a(flip),b,9629,a(flip))]. given #8458 (H,wt=23): 9323 L(K(x,L(y,x,z)),T(y,u) * w,v5) = K(L(x,y,z),L(y,w,v5)). [para(9096(a,1),9321(a,1,1))]. given #8459 (H,wt=23): 9403 K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). [para(9402(a,2),6536(a,1,2))]. given #8460 (H,wt=19): 9633 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [hyper(225,a,9403,a)]. given #8461 (H,wt=12): 9634 L(K(x,y),z,x \ 1) = K(x,y). [hyper(422,a,9633,a)]. given #8462 (H,wt=14): 9637 L(K(x \ 1,y),z,x) = K(x \ 1,y). [hyper(255,a,3963,a(flip),b,9634,a(flip)),flip(a)]. given #8463 (H,wt=14): 9638 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(6468,a,9637,a)]. given #8464 (H,wt=14): 9641 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(4816(a,1),9638(a,1,1,1)),flip(a)]. given #8465 (H,wt=16): 9642 R(K(x,y),z,x \ 1) = K((x \ 1) \ 1,y). [hyper(255,a,6209,a(flip),b,9641,a(flip)),flip(a)]. given #8466 (H,wt=12): 9644 R(K(x,y),z,x \ 1) = K(x,y). [hyper(255,a,3312,a(flip),b,9642,a)]. given #8467 (H,wt=12): 9645 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(9359,a,9644,a)]. given #8468 (H,wt=14): 9648 T(x,R(y,z,x \ 1)) = x * K(x,y). [para(9645(a,1),5252(a,2,2))]. given #8469 (H,wt=12): 9650 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(255,a,5252,a,b,9648,a)]. given #8470 (H,wt=19): 9636 ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). [para(9633(a,1),6670(a,1,1))]. given #8471 (H,wt=12): 9652 L(K(x,y),z,y \ 1) = K(x,y). [hyper(7086,a,9636,a)]. given #8472 (H,wt=12): 9653 K(L(x,y,z \ 1),z) = K(x,z). [hyper(9356,a,9652,a)]. given #8473 (H,wt=19): 9640 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(9637(a,1),112(a,1,2))]. given #8474 (H,wt=10): 9658 R(x,y,K(x \ 1,z)) = x. [hyper(454,a,9640,a)]. given #8475 (H,wt=14): 9660 R(T(x,y),z,K(x \ 1,u)) = T(x,y). [para(9658(a,1),47(a,2,1))]. given #8476 (H,wt=13): 9662 T(x,y * K(x \ 1,z)) = T(x,y). [hyper(255,a,6353,a(flip),b,9660,a(flip))]. given #8477 (H,wt=13): 9666 T(x,K(x \ 1,y) * z) = T(x,z). [para(7559(a,1),9662(a,1,2))]. given #8478 (H,wt=13): 9667 T(x,K(y,x \ 1) * z) = T(x,z). [para(7572(a,1),9662(a,1,2)),flip(a)]. given #8479 (H,wt=13): 9671 T(x,K(y,1 / x) * z) = T(x,z). [para(3707(a,2),9667(a,1,2,1))]. given #8480 (H,wt=15): 9664 K(x,y * K(x \ 1,z)) = x \ T(x,y). [hyper(80,a,9662,a(flip),b,5252,a(flip)),flip(a)]. given #8481 (H,wt=13): 9673 K(x,y * K(x \ 1,z)) = K(x,y). [hyper(255,a,5186,a,b,9664,a)]. given #8482 (H,wt=13): 9675 K(x,y * K(z,x \ 1)) = K(x,y). [para(6672(a,1),9673(a,1,2)),flip(a)]. given #8483 (H,wt=13): 9676 K(x,K(x \ 1,y) * z) = K(x,z). [para(7559(a,1),9673(a,1,2))]. given #8484 (H,wt=15): 9668 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(7647(a,1),9662(a,1,2))]. given #8485 (H,wt=15): 9669 T(x \ 1,K(x,y) * z) = T(x \ 1,z). [para(3312(a,1),9666(a,1,2,1))]. given #8486 (H,wt=15): 9672 K(K(x,1 / y) * z,y) = y / T(y,z). [para(9671(a,1),5182(a,2,2))]. given #8487 (H,wt=13): 9681 K(K(x,1 / y) * z,y) = K(z,y). [hyper(255,a,5182,a,b,9672,a)]. given #8488 (H,wt=13): 9682 K(K(x,y \ 1) * z,y) = K(z,y). [para(3707(a,1),9681(a,1,1,1))]. given #8489 (H,wt=13): 9688 K(x * K(y,z \ 1),z) = K(x,z). [para(7627(a,1),9682(a,1,1))]. given #8490 (H,wt=15): 9677 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(7647(a,1),9673(a,1,2))]. given #8491 (H,wt=15): 9685 K(T(x,y \ 1) \ z,y) = K(x \ z,y). [para(5536(a,1),9682(a,1,1)),flip(a)]. given #8492 (H,wt=15): 9687 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(6025(a,1),9682(a,1,1))]. given #8493 (H,wt=17): 9678 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(6580(a,1),9675(a,1,2,2))]. given #8494 (H,wt=17): 9686 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5658(a,1),9682(a,1,1,1))]. given #8495 (H,wt=17): 9690 K(x * K(y,z \ u),u \ z) = K(x,u \ z). [para(6580(a,1),9688(a,1,1,2))]. given #8496 (H,wt=19): 9643 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(9641(a,1),6207(a,1,1)),flip(a)]. given #8497 (H,wt=10): 9696 L(x,y,K(x \ 1,z)) = x. [hyper(422,a,9643,a)]. given #8498 (H,wt=12): 9699 L(x \ 1,y,K(x,z)) = x \ 1. [para(3312(a,1),9696(a,1,3))]. given #8499 (H,wt=19): 9646 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [para(9644(a,1),122(a,1,1)),flip(a)]. given #8500 (H,wt=19): 9670 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(6053(a,1),9666(a,1,2)),flip(a)]. given #8501 (H,wt=19): 9693 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(6576(a,1),9678(a,1,2))]. given #8502 (H,wt=19): 9694 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(6053(a,1),9686(a,1,1)),flip(a)]. given #8503 (H,wt=19): 9695 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(6576(a,1),9690(a,1,1))]. given #8504 (H,wt=19): 9705 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(172,a,9646,a,b,6533,a)]. given #8505 (H,wt=20): 9700 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(9699(a,1),822(a,1,1)),flip(a)]. given #8506 (H,wt=21): 9649 R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). [para(9645(a,1),5986(a,1,2)),flip(a)]. given #8507 (H,wt=21): 9657 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [hyper(255,a,8312,a(flip),b,9653,a(flip)),flip(a)]. given #8508 (H,wt=21): 9709 R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). [hyper(255,a,3146,a(flip),b,9649,a)]. given #8509 (H,wt=23): 9456 K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). [hyper(9342,a,9454,a),flip(a)]. given #8510 (H,wt=23): 9460 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(129(a,1),9459(a,1,2)),flip(a)]. given #8511 (H,wt=23): 9494 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(8016(a,1),9491(a,1,1))]. given #8512 (H,wt=23): 9498 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(255,a,7542,a(flip),b,7579,a)]. given #8513 (H,wt=23): 9500 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(7542(a,1),7612(a,1,1,2))]. given #8514 (H,wt=23): 9502 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(z,x) \ u. [para(9501(a,1),679(a,1,1)),flip(a)]. given #8515 (H,wt=23): 9505 (T(T(x,y),z) \ 1) * T(x,y) = (x \ 1) * (x * K(z,T(x,y))). [hyper(255,a,5989,a(flip),b,7697,a(flip)),flip(a)]. given #8516 (H,wt=23): 9507 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x). [hyper(255,a,396,a(flip),b,7831,a)]. given #8517 (H,wt=23): 9514 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(6929,a,7975,a)]. given #8518 (H,wt=23): 9527 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1303(a,1),9524(a,1,2,2))]. given #8519 (H,wt=23): 9532 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(9529(a,1),8454(a,1,2)),flip(a)]. given #8520 (H,wt=19): 9718 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(255,a,8112,a(flip),b,9532,a)]. given #8521 (H,wt=17): 9719 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(8621,a,9718,a)]. given #8522 (H,wt=17): 9720 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(21(a,1),9719(a,1,2,2)),flip(a)]. given #8523 (H,wt=23): 9577 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(80,a,9576,a(flip),b,5220,a)]. given #8524 (H,wt=21): 9722 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(255,a,9580,a(flip),b,9577,a)]. given #8525 (H,wt=23): 9578 K(x,a(x,y,y \ 1) \ (z \ R(x,y,y \ 1))) = K(x,z \ x). [hyper(255,a,9551,a(flip),b,8721,a(flip)),flip(a)]. given #8526 (H,wt=23): 9588 K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. [para(9587(a,1),7022(a,1))]. given #8527 (H,wt=23): 9590 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(255,a,7870,a(flip),b,9589,a(flip))]. given #8528 (H,wt=21): 9723 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(255,a,9250,a(flip),b,9590,a(flip)),flip(a)]. given #8529 (H,wt=21): 9724 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [hyper(7895,a,9723,a)]. given #8530 (H,wt=19): 9725 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(255,a,8715,a(flip),b,9724,a)]. given #8531 (H,wt=23): 9596 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(255,a,7275,a(flip),b,8921,a(flip))]. given #8532 (H,wt=23): 9599 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(9598(a,1),5291(a,2,2,2)),flip(a)]. given #8533 (H,wt=19): 9727 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(5406,a,9599,a),flip(a)]. given #8534 (H,wt=19): 9728 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(255,a,8789,a,b,9727,a(flip)),flip(a)]. given #8535 (H,wt=23): 9600 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7539(a,2),8956(a,1,2))]. given #8536 (H,wt=23): 9656 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(255,a,7035,a(flip),b,9652,a(flip)),flip(a)]. given #8537 (H,wt=23): 9704 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(229,a,9646,a)]. given #8538 (H,wt=23): 9712 (x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))). [hyper(255,a,9205,a(flip),b,9500,a)]. given #8539 (H,wt=23): 9713 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(x,z) * u. [hyper(255,a,5600,a(flip),b,9502,a)]. given #8540 (H,wt=23): 9714 (T(T(x,y),z) \ 1) * T(x,z) = (x \ 1) * (x * K(y,T(x,z))). [para(43(a,1),9505(a,1,1,1))]. given #8541 (H,wt=23): 9715 K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x). [para(18(a,1),9507(a,1,2,2,1,2))]. given #8542 (H,wt=23): 9731 K(x \ 1,x) * K(y,T(x,z)) = (T(T(x,y),z) \ 1) * T(x,z). [hyper(255,a,7696,a,b,9714,a),flip(a)]. given #8543 (H,wt=24): 7546 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [hyper(255,a,6400,a,b,7539,a),flip(a)]. given #8544 (H,wt=24): 7562 L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). [para(7539(a,2),638(a,1,1))]. given #8545 (H,wt=24): 7620 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(641(a,1),7520(a,1,1,1)),flip(a)]. given #8546 (H,wt=24): 7666 (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. [para(7585(a,1),6795(a,1,2))]. given #8547 (H,wt=24): 7707 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). [para(7424(a,1),6989(a,1,1))]. given #8548 (H,wt=24): 7715 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). [para(7450(a,1),162(a,2,1)),flip(a)]. given #8549 (H,wt=17): 9736 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(255,a,9700,a(flip),b,7715,a(flip))]. given #8550 (H,wt=17): 9738 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(8235(a,1),9736(a,1,3))]. given #8551 (H,wt=15): 9739 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(7108,a,9738,a)]. given #8552 (H,wt=22): 9741 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(9739(a,1),2187(a,1,1,2))]. given #8553 (H,wt=24): 7800 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(7797(a,1),5253(a,1,2,1))]. given #8554 (H,wt=19): 9745 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(5490,a,7800,a),flip(a)]. given #8555 (H,wt=19): 9746 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(255,a,7591,a,b,9745,a(flip)),flip(a)]. given #8556 (H,wt=24): 7823 L(T(x,T(y,z)),K(x,z),z * x) = (x * z) \ ((T(x,y) * z) * x). [para(7788(a,1),4813(a,1,1))]. given #8557 (H,wt=17): 9748 (x * y) \ ((T(x,z) * y) * x) = T(x,T(z,y)). [hyper(255,a,6734,a(flip),b,7823,a(flip))]. given #8558 (H,wt=24): 7891 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. [para(603(a,2),7534(a,1))]. given #8559 (H,wt=24): 7905 K(x,R(T(x,y),z,u) / w) != v5 | K(x,w \ R(T(x,y),z,u)) = v5. [para(7592(a,1),7573(a,1))]. given #8560 (H,wt=24): 7917 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(7416(a,1),6724(a,1,2))]. given #8561 (H,wt=15): 9751 a(x,y * K(x,z),x) = a(x,y,T(x,z)). [hyper(636,a,7917,a),flip(a)]. given #8562 (H,wt=11): 9752 a(x,y,T(x,z)) = a(x,y,x). [hyper(9413,a,9751,a),flip(a)]. given #8563 (H,wt=14): 9753 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(9751(a,1),9413(a,1))]. given #8564 (H,wt=14): 9754 a(x,T(y,x),x) != z | a(x,y,x) = z. [para(9752(a,1),7056(a,1))]. given #8565 (H,wt=24): 7925 K(R((x * y) / x,z,u),T(w,y * x)) = K(R(L(y,x,y),z,u),w). [para(618(a,1),7583(a,1,1,1)),flip(a)]. given #8566 (H,wt=24): 8019 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(8014(a,1),5996(a,1,1,1,2)),flip(a)]. given #8567 (H,wt=17): 9756 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(255,a,5996,a(flip),b,8019,a)]. given #8568 (H,wt=17): 9757 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(6672(a,1),9756(a,1,2)),flip(a)]. given #8569 (H,wt=24): 8211 ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). [para(703(a,2),8198(a,1,1)),flip(a)]. given #8570 (H,wt=24): 8267 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(1061(a,1),8242(a,1,2))]. given #8571 (H,wt=15): 9758 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(8267(a,1),8585(a,1,2))]. given #8572 (H,wt=24): 8291 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(8235(a,1),574(a,1,2,1)),flip(a)]. given #8573 (H,wt=24): 8322 K(x,L(y / (z \ u),z \ u,z)) = K(x,T(u \ (z * y),z \ u)). [para(785(a,1),8256(a,1,2))]. given #8574 (H,wt=23): 9760 K(x,K(y,T(z \ (x * u),x \ z))) = K(x,K(y,u / (x \ z))). [para(8322(a,1),7439(a,1,2))]. given #8575 (H,wt=21): 9761 K(x,K(y,T(z \ (x * u),z))) = K(x,K(y,u / (x \ z))). [hyper(255,a,9058,a(flip),b,9760,a(flip)),flip(a)]. given #8576 (H,wt=19): 9762 K(x,K(y,(x * z) / u)) = K(x,K(y,z / (x \ u))). [para(8255(a,1),9761(a,1,2))]. given #8577 (H,wt=17): 9763 K(x,K(y,z / (x \ u))) = K(x,K(y,z / u)). [hyper(9548,a,9762,a),flip(a)]. given #8578 (H,wt=17): 9764 K(x,K(y,z / (x * u))) = K(x,K(y,z / u)). [para(18(a,1),9763(a,1,2,2,2)),flip(a)]. given #8579 (H,wt=24): 8380 R(K(x,y),z,u) \ R(T(K(x,y),w),z,u) = K(w,R(K(x,y),z,u)). [para(8177(a,1),5994(a,1,2,1))]. given #8580 (H,wt=24): 8417 (x * (K(y,z) * K(x,u))) * K(z,y) != w | T(x,T(u,K(y,z))) = w. [para(8293(a,1),6675(a,1,1)),flip(b)]. given #8581 (H,wt=24): 8634 T(x,y) * T(x \ K(x,z),x) != u | (x \ K(x,z)) * T(x,y) = u. [para(8523(a,1),225(a,1,2))]. given #8582 (H,wt=24): 8692 K(x,T(y,(y \ z) \ u)) != K(x,y) * w | K(x,K(y,z \ u)) = w. [para(8575(a,2),8356(a,1))]. given #8583 (H,wt=24): 8711 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(8705(a,1),6373(a,1,1))]. given #8584 (H,wt=24): 8824 T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). [hyper(255,a,185,a(flip),b,8822,a(flip)),flip(a)]. given #8585 (H,wt=24): 8829 x * K(T(x,y),R(z,u,w)) != v5 | T(x,R((y * z) / y,u,w)) = v5. [para(8329(a,1),5255(a,1,2))]. given #8586 (H,wt=24): 8911 K(((x * y) \ x) \ z,T(z,K(y,u))) = K(L(y \ 1,y,x) \ z,z). [para(1287(a,1),8906(a,1,1,1)),flip(a)]. given #8587 (H,wt=24): 8942 (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). [para(5958(a,1),8818(a,1,1))]. given #8588 (H,wt=24): 8943 T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). [hyper(172,a,8821,a(flip),b,4145,a(flip))]. given #8589 (H,wt=21): 9767 x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. [para(8943(a,1),4518(a,1,2))]. given #8590 (H,wt=24): 8957 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,(z * y) \ u)). [para(241(a,1),8854(a,1,2,2)),flip(a)]. given #8591 (H,wt=24): 8989 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). [para(1425(a,1),7633(a,1,2)),flip(a)]. given #8592 (H,wt=22): 9768 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [hyper(255,a,7535,a(flip),b,8989,a)]. given #8593 (H,wt=24): 9010 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(8871(a,1),5915(a,1,1)),flip(a)]. given #8594 (H,wt=24): 9013 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(7420(a,1),6693(a,1,1))]. given #8595 (H,wt=24): 9271 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(8611(a,2),7895(a,1))]. given #8596 (H,wt=24): 9348 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(7592(a,1),9342(a,1))]. given #8597 (H,wt=24): 9355 K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w. [para(5007(a,1),9344(a,1,1))]. given #8598 (H,wt=24): 9390 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(9383(a,1),5613(a,1,2))]. given #8599 (H,wt=24): 9400 K(x,R(T(y,z * u),y \ z,u)) = K(x,((y \ z) * u) \ (z * u)). [para(70(a,1),7619(a,1,2,1,1))]. given #8600 (H,wt=22): 9769 K(x,((y \ z) * u) \ (z * u)) = R(K(x,T(y,z * u)),z,u). [hyper(255,a,8967,a(flip),b,9400,a(flip))]. given #8601 (H,wt=24): 9415 L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). [para(7544(a,1),8299(a,1,1))]. given #8602 (H,wt=24): 9416 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7559(a,1),8304(a,1,1,2)),flip(a)]. given #8603 (H,wt=24): 9497 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(7571(a,2),8690(a,1))]. given #8604 (H,wt=24): 9631 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(592(a,1),9630(a,1,2,2)),flip(a)]. given #8605 (H,wt=24): 9692 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). [para(9677(a,1),6989(a,1,1))]. given #8606 (H,wt=19): 9772 K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). [hyper(7305,a,9692,a),flip(a)]. given #8607 (H,wt=19): 9773 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(127(a,1),9772(a,1,2,1)),flip(a)]. given #8608 (H,wt=17): 9775 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [hyper(255,a,8979,a(flip),b,9773,a)]. given #8609 (H,wt=16): 9776 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(255,a,7705,a(flip),b,9775,a(flip)),flip(a)]. given #8610 (H,wt=23): 9774 K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). [para(166(a,1),9772(a,1,2,1,2)),flip(a)]. given #8611 (H,wt=24): 9733 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(7539(a,2),7546(a,1,1))]. given #8612 (H,wt=21): 9778 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [hyper(6238,a,9733,a),flip(a)]. given #8613 (H,wt=17): 9780 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(255,a,7944,a(flip),b,9778,a(flip))]. given #8614 (H,wt=17): 9781 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(255,a,7701,a,b,9780,a)]. given #8615 (H,wt=17): 9782 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [para(70(a,1),9780(a,1,2,1,1)),flip(a)]. given #8616 (H,wt=17): 9783 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(70(a,1),9781(a,1,2,1,1)),flip(a)]. given #8617 (H,wt=17): 9784 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(255,a,7700,a,b,9782,a(flip)),flip(a)]. given #8618 (H,wt=19): 9785 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(255,a,7245,a(flip),b,9783,a(flip))]. given #8619 (H,wt=17): 9787 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(9470,a,9785,a),flip(a)]. given #8620 (H,wt=21): 9786 K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). [para(70(a,1),9784(a,1,2,1)),flip(a)]. given #8621 (H,wt=19): 9789 K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). [hyper(8593,a,9786,a)]. given #8622 (H,wt=19): 9790 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(255,a,8933,a(flip),b,9789,a(flip)),flip(a)]. given #8623 (H,wt=24): 9734 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(47(a,2),7620(a,1,1))]. given #8624 (H,wt=24): 9735 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). [hyper(255,a,8980,a(flip),b,7707,a)]. given #8625 (H,wt=24): 9755 K(R((x * y) / x,z,u),T(w,y * x)) = K(L(R(y,z,u),x,y),w). [para(49(a,1),7925(a,2,1))]. given #8626 (H,wt=22): 9793 K(R(x,y,z),T(T(u,x * w),w)) = K(L(R(x,y,z),w,x),u). [hyper(255,a,8311,a(flip),b,9755,a(flip)),flip(a)]. given #8627 (H,wt=22): 9794 K(R(x,y,z),T(T(u,w),x * w)) = K(L(R(x,y,z),w,x),u). [para(43(a,1),9793(a,1,2))]. given #8628 (H,wt=20): 9795 K(R(x,y,z),T(T(u,w),w)) = K(L(R(x,y,z),w,x),u). [hyper(255,a,9032,a(flip),b,9794,a(flip)),flip(a)]. given #8629 (H,wt=16): 9796 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(9339,a,9795,a),flip(a)]. given #8630 (H,wt=16): 9798 K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). [para(49(a,2),9796(a,1,1))]. given #8631 (H,wt=18): 9799 K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). [hyper(255,a,9368,a(flip),b,9798,a(flip))]. given #8632 (H,wt=15): 9800 K(R(x,x \ a(x,y,x),z),u) = K(x,u). [hyper(255,a,7427,a(flip),b,9799,a)]. given #8633 (H,wt=21): 9803 (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). [para(9800(a,1),7209(a,1,1)),flip(a)]. given #8634 (H,wt=18): 9804 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [para(9168(a,1),9803(a,1,1)),flip(a)]. given #8635 (H,wt=18): 9805 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [hyper(5622,a,9804,a)]. given #8636 (H,wt=18): 9806 K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. [hyper(310,a,9804,a),flip(a)]. given #8637 (H,wt=18): 9808 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(5894(a,2),9805(a,1,1))]. given #8638 (H,wt=21): 9807 K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z. [para(9804(a,1),24(a,1)),flip(a)]. given #8639 (H,wt=21): 9809 K(x,x * y) * z != K(x,y) * (a(x,y,x) \ u) | z = u. [para(9806(a,2),24(a,2))]. given #8640 (H,wt=22): 9810 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(5683(a,1),9808(a,1,2))]. given #8641 (H,wt=24): 9759 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7539(a,2),8291(a,1,1))]. given #8642 (H,wt=24): 9765 R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u). [hyper(80,a,8380,a(flip),b,6416,a(flip))]. given #8643 (H,wt=24): 9766 K(x \ (y * (x * z)),T(y,K(z,u))) = K(L(z \ 1,z,x) \ y,y). [hyper(255,a,8976,a(flip),b,8911,a(flip)),flip(a)]. given #8644 (H,wt=24): 9770 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [para(43(a,1),9415(a,1,1,2))]. given #8645 (H,wt=24): 9771 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(7558(a,1),9416(a,1,1))]. given #8646 (H,wt=25): 7521 L(K(x,x * (y \ z)),y \ z,y) != u | K(x,(y * (x \ 1)) \ z) = u. [para(7436(a,1),7305(a,1,1))]. given #8647 (H,wt=25): 7638 K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). [para(5582(a,1),7552(a,1,2))]. given #8648 (H,wt=25): 7677 (x * T(y,z)) * L(K(u,y),w,v5) = x * (T(y,z) * L(K(u,y),w,v5)). [para(7671(a,1),429(a,1,2,1))]. given #8649 (H,wt=25): 7735 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [para(5216(a,1),7464(a,1,1)),flip(a)]. given #8650 (H,wt=19): 9814 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(5216(a,1),7735(a,1,1)),flip(a)]. given #8651 (H,wt=13): 9815 R(x,y,x * K(z,x)) = R(x,y,x). [para(5216(a,1),9814(a,1,3)),flip(a)]. given #8652 (H,wt=17): 9816 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(5268(a,1),9815(a,1,3))]. given #8653 (H,wt=25): 7745 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(6201,a,7480,a),flip(a)]. given #8654 (H,wt=21): 9817 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6873(a,1),7745(a,1,1))]. given #8655 (H,wt=25): 7773 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(7772(a,1),460(a,1,1,1)),flip(a)]. given #8656 (H,wt=17): 9818 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(422,a,7773,a)]. given #8657 (H,wt=14): 9820 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [para(319(a,1),9818(a,1,3))]. given #8658 (H,wt=16): 9819 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(255,a,9768,a(flip),b,9818,a(flip)),flip(a)]. given #8659 (H,wt=16): 9823 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(19(a,1),9819(a,1,2,2)),flip(a)]. given #8660 (H,wt=17): 9824 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(8051(a,1),9819(a,1,2))]. given #8661 (H,wt=17): 9826 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(7980(a,1),9824(a,1,2))]. given #8662 (H,wt=17): 9827 K(x * y,T(y,z * x)) = K(y * x,T(y,z)). [hyper(7915,a,9826,a),flip(a)]. given #8663 (H,wt=19): 9821 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(255,a,7032,a(flip),b,9820,a(flip))]. given #8664 (H,wt=19): 9825 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(19(a,1),9824(a,1,2,2,2))]. given #8665 (H,wt=17): 9830 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(7914,a,9825,a),flip(a)]. given #8666 (H,wt=17): 9831 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(21(a,1),9830(a,1,2,2)),flip(a)]. given #8667 (H,wt=17): 9832 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(255,a,8631,a(flip),b,9831,a(flip)),flip(a)]. given #8668 (H,wt=17): 9833 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(255,a,9447,a(flip),b,9832,a(flip)),flip(a)]. given #8669 (H,wt=19): 9834 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(255,a,8710,a(flip),b,9833,a(flip))]. given #8670 (H,wt=17): 9835 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(9470,a,9834,a),flip(a)]. given #8671 (H,wt=20): 9829 K(x * y,T(x,z * y)) != u | K(x * y,T(x,z)) = u. [para(9826(a,1),7914(a,1))]. given #8672 (H,wt=22): 9837 K(T(x,y) * z,T(x,u * z)) != w | K(x * z,T(x,u)) = w. [para(8068(a,2),9829(a,1))]. given #8673 (H,wt=25): 7880 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). [para(5423(a,1),7867(a,1,2,2)),flip(a)]. given #8674 (H,wt=19): 9838 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). [hyper(255,a,8630,a(flip),b,7880,a)]. given #8675 (H,wt=15): 9839 K(x \ y,T(z,T(y,x))) = K(y / x,z). [hyper(7900,a,9838,a)]. given #8676 (H,wt=25): 7882 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(141(a,1),7879(a,1,2,2)),flip(a)]. given #8677 (H,wt=25): 7918 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). [para(7429(a,1),6235(a,2,2,2))]. given #8678 (H,wt=25): 7932 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(6993(a,1),7662(a,1,1))]. given #8679 (H,wt=25): 7961 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7957(a,1),5819(a,1,1))]. given #8680 (H,wt=21): 9842 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7957(a,1),7961(a,1,2,2)),flip(a)]. given #8681 (H,wt=19): 9843 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(255,a,5819,a(flip),b,9842,a)]. given #8682 (H,wt=25): 8052 K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6). [para(8035(a,1),5195(a,1,1,1)),flip(a)]. given #8683 (H,wt=20): 9846 K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)). [hyper(255,a,5195,a(flip),b,8052,a)]. given #8684 (H,wt=20): 9847 K(K(L(x,y,z),u) * w,L(x,v5,v6)) = K(w,L(x,v5,v6)). [para(7559(a,1),9846(a,1,1))]. given #8685 (H,wt=17): 9848 K(K(x,y) * z,L(x,u,w)) = K(z,L(x,u,w)). [para(319(a,1),9847(a,1,1,1,1))]. given #8686 (H,wt=19): 9849 K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). [para(5874(a,1),9848(a,1,1)),flip(a)]. given #8687 (H,wt=21): 9850 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [para(129(a,1),9849(a,1,1,2)),flip(a)]. given #8688 (H,wt=25): 8130 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(100(a,1),8101(a,1,2,2))]. given #8689 (H,wt=25): 8165 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(8138(a,2),6245(a,1,1))]. given #8690 (H,wt=25): 8185 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(6430(a,1),8154(a,1,2)),flip(a)]. given #8691 (H,wt=23): 9851 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(8185(a,1),8165(a,1,1))]. given #8692 (H,wt=25): 8337 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(8308(a,1),6922(a,1,1,2))]. given #8693 (H,wt=25): 8381 K(x,K(y,T(1 / L(1 / z,u,w),v5))) = K(x,T(L(K(z,y),u,w),v5)). [para(6481(a,1),8186(a,2,2,1))]. given #8694 (H,wt=25): 8491 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(6428(a,1),8482(a,1,2,1)),flip(a)]. given #8695 (H,wt=23): 9855 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [hyper(255,a,8483,a(flip),b,8491,a(flip)),flip(a)]. given #8696 (H,wt=21): 9856 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [hyper(255,a,4659,a(flip),b,9855,a)]. given #8697 (H,wt=17): 9858 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [hyper(255,a,4886,a(flip),b,9856,a)]. given #8698 (H,wt=25): 8503 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(7120(a,1),8446(a,1,2)),flip(a)]. given #8699 (H,wt=25): 8729 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(4656(a,1),8725(a,1,2,2,1))]. given #8700 (H,wt=23): 9859 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(255,a,8728,a(flip),b,8729,a)]. given #8701 (H,wt=20): 9860 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(255,a,8731,a,b,9859,a(flip)),flip(a)]. given #8702 (H,wt=22): 9861 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(73(a,1),9860(a,2,2,2,1))]. given #8703 (H,wt=25): 8777 K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(255,a,6997,a(flip),b,8772,a(flip))]. given #8704 (H,wt=25): 8837 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(y,K(u / (x * z),x)). [para(8281(a,1),8374(a,1,2,2)),flip(a)]. given #8705 (H,wt=24): 9864 K(x,T(y,T((x * z) \ u,z))) != w | K(x,T(y,u / (x * z))) = w. [para(8837(a,2),8372(a,1))]. given #8706 (H,wt=25): 8849 (x * y) * K(z,K(u,L(w,y,x))) != v5 | x * (y * K(z,K(u,w))) = v5. [para(8844(a,1),224(a,1,2))]. given #8707 (H,wt=25): 8940 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1939(a,1),8814(a,1,2)),flip(a)]. given #8708 (H,wt=23): 9865 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(255,a,4493,a(flip),b,8940,a)]. given #8709 (H,wt=25): 8941 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1965(a,1),8814(a,1,2)),flip(a)]. given #8710 (H,wt=25): 9120 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(9115(a,1),428(a,1,2,1))]. given #8711 (H,wt=25): 9122 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(9117(a,1),6695(a,1,2)),flip(a)]. given #8712 (H,wt=25): 9125 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(9118(a,1),6695(a,1,2)),flip(a)]. given #8713 (H,wt=25): 9141 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(9134(a,1),122(a,1,1)),flip(a)]. given #8714 (H,wt=25): 9183 L(a(x,y,x),K(x,x * y),z) = (z * K(x,x * y)) \ (z * K(x,y)). [para(9168(a,1),33(a,2,2,2))]. given #8715 (H,wt=21): 9871 L(a(x,y,x),K(x,x * y),z) = K(x,y) * K(x * y,x). [hyper(255,a,9139,a(flip),b,9183,a)]. given #8716 (H,wt=16): 9873 L(a(x,y,x),K(x,x * y),z) = a(x,y,x). [hyper(255,a,9154,a(flip),b,9871,a)]. given #8717 (H,wt=25): 9191 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(7890(a,1),9189(a,1,2)),flip(a)]. given #8718 (H,wt=25): 9278 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(8135(a,1),8639(a,2,2))]. given #8719 (H,wt=25): 9309 T(x / T(y,x),z) * T(T(y,x),K(x,z)) = x * K(T(x,y) / y,z). [para(4456(a,2),9307(a,2,2,1))]. given #8720 (H,wt=15): 9877 K(T(x,y) / y,z) = K(x / T(y,x),z). [hyper(9308,a,9309,a),flip(a)]. given #8721 (H,wt=25): 9387 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(80,a,9306,a(flip),b,5550,a),flip(a)]. given #8722 (H,wt=25): 9430 x * (y * K(z,K(u,x * y))) != w | T(x * y,K(z,L(u,y,x))) = w. [para(8846(a,1),8142(a,1))]. given #8723 (H,wt=25): 9435 K((x \ 1) \ y,((x \ 1) \ y) \ z) = K((x \ 1) \ y,(x * y) \ z). [para(3064(a,1),9433(a,1,2,1)),flip(a)]. given #8724 (H,wt=25): 9439 x \ R(x,y,R(x,z,u)) != w | K(y * R(x,z,u),x) * K(x,y) = w. [para(9009(a,1),2076(a,1))]. given #8725 (H,wt=25): 9513 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(9512(a,1),4492(a,1,1))]. given #8726 (H,wt=25): 9574 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(9573(a,1),25(a,1)),flip(a)]. given #8727 (H,wt=25): 9581 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(5146(a,1),8746(a,2,1)),flip(a)]. given #8728 (H,wt=21): 9880 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(5149,a,9581,a),flip(a)]. given #8729 (H,wt=19): 9881 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(8572(a,1),9880(a,1,1,2))]. given #8730 (H,wt=25): 9632 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(9630(a,1),9258(a,2,2))]. given #8731 (H,wt=25): 9651 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(685(a,1),9650(a,1,2))]. given #8732 (H,wt=25): 9706 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(9693(a,2),6770(a,2,2))]. given #8733 (H,wt=25): 9707 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(9695(a,2),6638(a,2,2))]. given #8734 (H,wt=25): 9708 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(45(a,2),9705(a,2,2))]. given #8735 (H,wt=25): 9710 x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). [hyper(80,a,9709,a,b,5686,a)]. given #8736 (H,wt=23): 9882 x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). [para(643(a,1),9710(a,2,2))]. given #8737 (H,wt=20): 9883 K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). [para(5429(a,1),9882(a,1,2)),flip(a)]. given #8738 (H,wt=24): 9884 K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). [para(9883(a,1),8766(a,1,2,1))]. given #8739 (H,wt=24): 9885 K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). [hyper(255,a,7411,a(flip),b,9884,a(flip)),flip(a)]. given #8740 (H,wt=25): 9747 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(9746(a,1),6784(a,1,1,2)),flip(a)]. given #8741 (H,wt=19): 9886 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(255,a,7605,a(flip),b,9747,a)]. given #8742 (H,wt=19): 9887 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(45(a,2),9886(a,2,2))]. given #8743 (H,wt=19): 9888 T(x,L(T(y,y \ z),u,w)) = T(x,L(T(y,z),u,w)). [para(128(a,2),9887(a,1,2,1))]. given #8744 (H,wt=25): 9750 (x * y) \ ((T(x,z \ (u * x)) * y) * x) = T(x,T((u \ z) \ x,y)). [para(7002(a,1),9748(a,1,2,1,1))]. given #8745 (H,wt=19): 9890 T(x,T((y \ z) \ x,u)) = T(x,T(z \ (y * x),u)). [hyper(255,a,9748,a(flip),b,9750,a(flip))]. given #8746 (H,wt=25): 9854 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(255,a,9712,a(flip),b,8337,a(flip)),flip(a)]. given #8747 (H,wt=23): 9891 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(8336(a,1),9854(a,1,2)),flip(a)]. given #8748 (H,wt=21): 9892 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(7201(a,1),9891(a,2,2))]. given #8749 (H,wt=25): 9862 K(x,T(1 \ ((y \ z) * x),z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(255,a,9443,a(flip),b,8777,a(flip)),flip(a)]. given #8750 (H,wt=23): 9893 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(59(a,1),9862(a,1,2,1))]. given #8751 (H,wt=21): 9894 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(255,a,9783,a(flip),b,9893,a),flip(a)]. given #8752 (H,wt=21): 9895 K(x,T(1 \ ((y \ z) * x),y)) = K(x,T((y \ z) * x,z)). [hyper(255,a,9443,a(flip),b,9894,a(flip)),flip(a)]. given #8753 (H,wt=19): 9896 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [para(59(a,1),9895(a,1,2,1)),flip(a)]. given #8754 (H,wt=25): 9863 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / (x * z))). [para(8138(a,1),8837(a,2,2))]. given #8755 (H,wt=23): 9897 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / z)). [para(9764(a,1),9863(a,2,2))]. given #8756 (H,wt=19): 9898 K(x,T(y,T((x * z) \ u,z))) = K(x,T(y,u / z)). [hyper(255,a,8115,a(flip),b,9897,a)]. given #8757 (H,wt=17): 9899 K(x,T(y,z / (x * u))) = K(x,T(y,z / u)). [hyper(9864,a,9898,a)]. given #8758 (H,wt=17): 9900 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(19(a,1),9899(a,1,2,2,2)),flip(a)]. given #8759 (H,wt=19): 9901 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [para(9900(a,1),5252(a,2,2))]. given #8760 (H,wt=17): 9902 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(255,a,5252,a,b,9901,a)]. given #8761 (H,wt=23): 9903 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(255,a,9651,a(flip),b,9902,a(flip))]. given #8762 (H,wt=21): 9904 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(68(a,1),9903(a,1,2,2))]. given #8763 (H,wt=19): 9905 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(129(a,1),9904(a,1,2)),flip(a)]. given #8764 (H,wt=25): 9868 (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). [para(2082(a,2),9120(a,2,2))]. given #8765 (H,wt=25): 9869 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(81,a,7219,a(flip),b,9122,a)]. given #8766 (H,wt=25): 9870 (x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)). [para(2077(a,1),9141(a,2,2))]. given #8767 (H,wt=25): 9874 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = x / a(y,z,y). [para(9873(a,1),316(a,1,2)),flip(a)]. given #8768 (H,wt=25): 9876 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(8138(a,1),9278(a,1,1,1))]. given #8769 (H,wt=23): 9907 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(9261(a,1),9876(a,1,1))]. given #8770 (H,wt=23): 9908 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(8138(a,1),9907(a,2,1))]. given #8771 (H,wt=23): 9909 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(8134(a,1),9908(a,2,2))]. given #8772 (H,wt=25): 9906 (x * (K(y,z) * L(K(u,y),w,v5))) * K(z,y) = x * L(K(u,y),w,v5). [hyper(6674,a,9870,a)]. given #8773 (H,wt=26): 7748 K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). [para(7488(a,1),5539(a,1,2,2))]. given #8774 (H,wt=22): 9910 K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). [para(8016(a,1),7748(a,1,1))]. given #8775 (H,wt=18): 9911 L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). [para(7959(a,1),9910(a,1,2)),flip(a)]. given #8776 (H,wt=13): 9913 L(x,K(y,x) * z,x) = L(x,z,x). [hyper(255,a,5539,a(flip),b,9911,a)]. given #8777 (H,wt=15): 9915 L(x,T(x,y) \ z,x) = L(x,x \ z,x). [para(5560(a,1),9913(a,1,2))]. given #8778 (H,wt=15): 9916 L(x,y / T(x,z),x) = L(x,x \ y,x). [hyper(255,a,9398,a,b,9915,a(flip)),flip(a)]. given #8779 (H,wt=24): 9918 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [hyper(255,a,7398,a,b,9916,a(flip)),flip(a)]. given #8780 (H,wt=26): 7892 K(x,T(y,L(y,z,u) * (y \ w))) != v5 | K(x,T(y,L(y,z,u) * w)) = v5. [para(1419(a,1),7534(a,1,2,2))]. given #8781 (H,wt=25): 9920 L(K(x,T(y,z)),z,L(y,u,w)) != v5 | K(x,T(y,L(y,u,w) * z)) = v5. [para(8989(a,2),7892(a,1))]. given #8782 (H,wt=26): 8087 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(8082(a,1),5195(a,1,1,1)),flip(a)]. given #8783 (H,wt=21): 9921 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(255,a,5195,a(flip),b,8087,a)]. given #8784 (H,wt=21): 9922 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(18(a,1),9921(a,1,1,2,1))]. given #8785 (H,wt=26): 8090 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(8085(a,1),5253(a,1,2,1))]. given #8786 (H,wt=24): 9923 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(8090(a,1),5490(a,1))]. given #8787 (H,wt=26): 8091 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(8088(a,1),5195(a,1,1,1))]. given #8788 (H,wt=21): 9924 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(5485,a,8091,a),flip(a)]. given #8789 (H,wt=24): 9925 K((x / y) \ z,L(y,u,w)) != v5 | K(x \ (z * y),L(y,u,w)) = v5. [para(8091(a,1),5485(a,1))]. given #8790 (H,wt=26): 8310 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(100(a,1),8253(a,1,1,1))]. given #8791 (H,wt=26): 8318 K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). [para(29(a,2),8255(a,1,2,1)),flip(a)]. given #8792 (H,wt=26): 8707 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(8704(a,2),7651(a,1,1))]. given #8793 (H,wt=19): 9928 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(8707,a,8642,a)]. given #8794 (H,wt=21): 9929 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(9928(a,1),5252(a,2,2)),flip(a)]. given #8795 (H,wt=22): 9930 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(9929(a,1),5255(a,1))]. given #8796 (H,wt=26): 8982 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (y / (x \ 1))) \ u). [para(8981(a,1),6989(a,1,1))]. given #8797 (H,wt=21): 9931 K(x,(y * (z / (x \ 1))) \ u) = K(x,(y * z) \ (x \ u)). [hyper(255,a,9735,a(flip),b,8982,a(flip))]. given #8798 (H,wt=21): 9932 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(255,a,9774,a(flip),b,9931,a(flip))]. given #8799 (H,wt=23): 9933 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(37(a,2),9932(a,1,2,2))]. given #8800 (H,wt=21): 9934 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(8670,a,9933,a)]. given #8801 (H,wt=26): 9142 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(9134(a,1),489(a,1,1))]. given #8802 (H,wt=21): 9935 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(255,a,6692,a(flip),b,9142,a(flip)),flip(a)]. given #8803 (H,wt=21): 9936 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(255,a,2077,a(flip),b,9935,a)]. given #8804 (H,wt=21): 9937 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(6672(a,1),9936(a,1,2)),flip(a)]. given #8805 (H,wt=10): 9939 T(x,a(y,z,K(x,u))) = x. [para(9937(a,1),7958(a,1,2))]. given #8806 (H,wt=17): 9938 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(7106(a,1),9937(a,1,2))]. given #8807 (H,wt=17): 9941 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [hyper(7079,a,9938,a)]. given #8808 (H,wt=17): 9942 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5622,a,9938,a)]. given #8809 (H,wt=17): 9943 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2079,a,9938,a)]. given #8810 (H,wt=17): 9944 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(255,a,6490,a,b,9938,a(flip)),flip(a)]. given #8811 (H,wt=17): 9953 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(6493,a,9943,a)]. given #8812 (H,wt=19): 9946 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [para(9938(a,1),5220(a,1,2)),flip(a)]. given #8813 (H,wt=19): 9948 K(x,y) * K(y,L(x,z,u)) = a(u,z * x,K(x,y)). [para(7009(a,1),9938(a,1,2))]. given #8814 (H,wt=19): 9949 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(7046(a,1),9938(a,1,2))]. given #8815 (H,wt=19): 9955 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(7009(a,1),9943(a,1,1))]. given #8816 (H,wt=19): 9956 K(L(x,y,z),u) * K(u,x) = a(z,y * x,K(u,x)). [para(7046(a,1),9943(a,1,1))]. given #8817 (H,wt=20): 9945 a(x,y,K(z,u)) != w | L(K(u,z),y,x) * K(z,u) = w. [para(9938(a,1),2079(a,1))]. given #8818 (H,wt=20): 9957 x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. [para(9944(a,1),94(a,1,2)),flip(b)]. given #8819 (H,wt=21): 9940 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(9939(a,1),7559(a,1,2,2)),flip(a)]. given #8820 (H,wt=21): 9947 ((x * y) / x) * L(K(y,x),z,u) = y * a(u,z,K(x,y)). [para(9938(a,1),5858(a,2,2))]. given #8821 (H,wt=21): 9950 (x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y). [para(9938(a,1),7113(a,1,1,2))]. given #8822 (H,wt=21): 9951 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [para(9938(a,1),9125(a,1,2))]. given #8823 (H,wt=21): 9952 (x * a(y,z,K(u,w))) * K(w,u) = x * L(K(w,u),z,y). [para(9938(a,1),9906(a,1,1,2))]. given #8824 (H,wt=17): 9963 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [hyper(23,a,9950,a,b,9952,a),flip(a)]. given #8825 (H,wt=22): 9954 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [hyper(255,a,9142,a,b,9943,a(flip)),flip(a)]. given #8826 (H,wt=23): 9962 (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). [para(6633(a,1),9951(a,1,1)),flip(a)]. given #8827 (H,wt=23): 9967 x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). [hyper(255,a,7677,a(flip),b,9962,a(flip)),flip(a)]. given #8828 (H,wt=21): 9968 (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). [para(9946(a,1),9967(a,1,2)),flip(a)]. given #8829 (H,wt=16): 9969 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [hyper(422,a,9968,a)]. given #8830 (H,wt=11): 9970 a(x,y,a(z,u,K(y,w))) = 1. [hyper(39,a,9969,a)]. given #8831 (H,wt=13): 9971 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(8242(a,1),9970(a,1,3,3))]. given #8832 (H,wt=24): 9960 x * L(K(y,z),u,w) != v5 * K(y,z) | x / a(w,u,K(y,z)) = v5. [para(9950(a,1),25(a,1))]. given #8833 (H,wt=24): 9961 (x * K(y,z)) * u != x * L(K(y,z),w,v5) | a(v5,w,K(z,y)) = u. [para(9951(a,1),24(a,1)),flip(a)]. given #8834 (H,wt=24): 9964 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [hyper(255,a,5318,a(flip),b,9963,a(flip))]. given #8835 (H,wt=25): 9965 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). [para(9963(a,1),384(a,1,1))]. given #8836 (H,wt=26): 9198 K(x,y) * z != u * (K(x,y) * K(w,x)) | T(u * K(w,x),K(x,y)) = z. [para(9130(a,1),173(a,2))]. given #8837 (H,wt=26): 9206 (x * K(y,z)) * K(u,T(y,w)) != v5 | x * (K(y,z) * K(u,T(y,w))) = v5. [para(9204(a,1),224(a,1,2))]. given #8838 (H,wt=26): 9431 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(255,a,8975,a(flip),b,8856,a(flip)),flip(a)]. given #8839 (H,wt=26): 9432 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(8912(a,1),8100(a,1,1)),flip(a)]. given #8840 (H,wt=26): 9448 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(4597(a,2),9446(a,1,2,1)),flip(a)]. given #8841 (H,wt=26): 9458 K(x,T(y \ (R(x,z,u) * w),w)) != v5 | K(x,(R(x,z,u) * w) / y) = v5. [para(9454(a,1),9342(a,1))]. given #8842 (H,wt=26): 9486 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(9485(a,1),9340(a,1))]. given #8843 (H,wt=26): 9499 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. [para(7579(a,2),7899(a,1))]. given #8844 (H,wt=26): 9506 (x \ 1) * (x * K(y,T(x,z))) != u | K(x \ 1,x) * K(y,T(x,z)) = u. [para(7697(a,1),2271(a,1))]. given #8845 (H,wt=26): 9647 K(x,y) * (z * (x \ 1)) != (x \ 1) * u | T(K(x,y) * z,x \ 1) = u. [para(9644(a,1),469(a,1,1))]. given #8846 (H,wt=26): 9717 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(9527(a,2),8504(a,1))]. given #8847 (H,wt=26): 9811 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(9759(a,1),6366(a,1,1)),flip(a)]. given #8848 (H,wt=26): 9813 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(9473(a,1),9771(a,1,1,1))]. given #8849 (H,wt=22): 9976 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(8231(a,1),9813(a,1,1)),flip(a)]. given #8850 (H,wt=22): 9977 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(9976(a,1),21(a,1,1))]. given #8851 (H,wt=26): 9841 T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. [para(7932(a,1),7663(a,1))]. given #8852 (H,wt=26): 9853 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(9851(a,1),5611(a,1,2))]. given #8853 (H,wt=26): 9926 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(4038(a,2),8310(a,1,1))]. given #8854 (H,wt=26): 9972 (x * K(y,T(z,u))) * K(z,w) != v5 | x * (K(z,w) * K(y,T(z,u))) = v5. [para(9500(a,2),9206(a,1))]. given #8855 (H,wt=26): 9973 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(255,a,8135,a(flip),b,9432,a)]. given #8856 (H,wt=26): 9974 (T(T(x,y),z) \ 1) * T(x,z) != u | K(x \ 1,x) * K(y,T(x,z)) = u. [para(9714(a,2),9506(a,1))]. given #8857 (H,wt=26): 9975 R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. [para(7542(a,1),9811(a,1,1))]. given #8858 (H,wt=26): 9983 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(8176,a,9973,a)]. given #8859 (H,wt=26): 9984 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(7582(a,1),9975(a,1,1))]. given #8860 (H,wt=25): 9985 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(255,a,9759,a(flip),b,9984,a(flip))]. given #8861 (H,wt=25): 9986 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(7233(a,2),9985(a,1,1))]. given #8862 (H,wt=26): 9987 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(9986(a,1),5384(a,1))]. given #8863 (H,wt=27): 7569 K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). [para(7539(a,2),6048(a,1,1))]. given #8864 (H,wt=27): 7689 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(7670(a,1),488(a,1,1))]. given #8865 (H,wt=27): 7809 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(6369(a,1),7708(a,2,1))]. given #8866 (H,wt=23): 9990 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(6362(a,1),7809(a,1,2)),flip(a)]. given #8867 (H,wt=23): 9991 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(255,a,3340,a,b,9990,a)]. given #8868 (H,wt=27): 7922 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(6209(a,1),7487(a,2,2))]. given #8869 (H,wt=23): 9992 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(6209(a,1),7922(a,1,1,2))]. given #8870 (H,wt=23): 9993 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(9992(a,2),7218(a,1,1))]. given #8871 (H,wt=27): 8093 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5641(a,1),7843(a,1,1,1)),flip(a)]. given #8872 (H,wt=27): 8216 K(x,K(y,z)) * (z * R(K(y,u),w,v5)) = T(z * R(K(y,u),w,v5),K(x,y)). [para(7987(a,1),8151(a,1,1,2))]. given #8873 (H,wt=25): 9994 T(x * R(K(y,z),u,w),K(v5,y)) = T(x,K(v5,y)) * R(K(y,z),u,w). [hyper(8164,a,8216,a),flip(a)]. given #8874 (H,wt=27): 8517 K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. [para(8515(a,1),6030(a,2,1,1))]. given #8875 (H,wt=25): 9995 K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. [hyper(8468,a,8517,a)]. given #8876 (H,wt=23): 9996 K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). [hyper(255,a,8467,a(flip),b,9995,a)]. given #8877 (H,wt=27): 8825 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(7970(a,1),8248(a,1,1,1,2))]. given #8878 (H,wt=27): 8966 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(424(a,1),8909(a,2,1))]. given #8879 (H,wt=24): 9999 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(255,a,7513,a(flip),b,8966,a)]. given #8880 (H,wt=24): 10001 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(255,a,9598,a(flip),b,9999,a(flip)),flip(a)]. given #8881 (H,wt=27): 8987 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) != w * v5 | (x * u) / v5 = w. [para(7628(a,1),297(a,1,2))]. given #8882 (H,wt=27): 9143 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(9140(a,1),847(a,1,1)),flip(a)]. given #8883 (H,wt=23): 10002 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(7908(a,1),9143(a,1,2)),flip(a)]. given #8884 (H,wt=27): 9177 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(9164(a,2),178(a,1,2,2))]. given #8885 (H,wt=27): 9256 (K(x,y) * T(z,u)) / T(K(x,y),z) = (z * (K(x,y) * K(z,u))) * K(y,x). [hyper(255,a,8519,a,b,8415,a),flip(a)]. given #8886 (H,wt=27): 9373 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(730(a,1),9370(a,1,2))]. given #8887 (H,wt=27): 9384 K(x,K(y,z \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x). [para(9255(a,1),6784(a,1,1))]. given #8888 (H,wt=27): 9391 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(6006(a,1),9389(a,1,2,1,2,2)),flip(a)]. given #8889 (H,wt=17): 10007 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [hyper(255,a,9389,a(flip),b,9391,a)]. given #8890 (H,wt=17): 10008 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(73(a,1),10007(a,1,2,1,1)),flip(a)]. given #8891 (H,wt=27): 9523 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(6728(a,2),9522(a,1,2,1))]. given #8892 (H,wt=25): 10009 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(4446(a,1),9523(a,1,1))]. given #8893 (H,wt=23): 10010 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(255,a,9240,a(flip),b,10009,a)]. given #8894 (H,wt=27): 9579 T(K(x,y) * T(z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). [para(6839(a,1),8733(a,1,1,2))]. given #8895 (H,wt=27): 9730 T(T(x,K(y,x)),z * x) * ((T(x,x * z) * K(y,x)) \ u) = K(x,y) * u. [para(4568(a,1),9713(a,1,1))]. given #8896 (H,wt=23): 10012 T(x,y * x) * ((T(x,x * y) * K(z,x)) \ u) = K(x,z) * u. [para(3140(a,1),9730(a,1,1,1))]. given #8897 (H,wt=18): 10013 T(x,y * x) * (L(x,y,x) \ z) = K(x,y) * z. [para(5707(a,1),10012(a,1,2,1))]. given #8898 (H,wt=18): 10014 T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. [para(4563(a,1),10013(a,1,1))]. given #8899 (H,wt=18): 10015 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(255,a,9376,a,b,10014,a(flip)),flip(a)]. given #8900 (H,wt=13): 10016 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(9809,a,10015,a)]. given #8901 (H,wt=8): 10019 T(x,a(y,z,y)) = x. [hyper(8094,a,10016,a)]. given #8902 (H,wt=8): 10022 K(x,a(y,z,y)) = 1. [hyper(41,a,10019,a)]. given #8903 (H,wt=10): 10024 T(x,y \ R(y,z,y)) = x. [para(9151(a,1),10019(a,1,2))]. given #8904 (H,wt=10): 10025 x * K(y,a(z,u,z)) = x. [para(10022(a,2),17(a,1,2))]. given #8905 (H,wt=11): 10020 T(a(x,y,x),z) = a(x,y,x). [hyper(4425,a,10016,a)]. given #8906 (H,wt=13): 10017 a(x,y,x) * z = z * a(x,y,x). [hyper(9807,a,10015,a)]. given #8907 (H,wt=13): 10021 x / a(y,z,y) = a(y,z,y) \ x. [hyper(96,a,10016,a)]. given #8908 (H,wt=13): 10033 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(255,a,9153,a,b,10020,a)]. given #8909 (H,wt=15): 10042 x * (y \ R(y,z,y)) = a(y,z,y) * x. [para(9153(a,2),10017(a,2,2)),flip(a)]. given #8910 (H,wt=15): 10044 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(10021(a,1),9380(a,1,2))]. given #8911 (H,wt=16): 10023 a(x,y,x) * z != u | z * a(x,y,x) = u. [para(10019(a,1),225(a,1,2))]. given #8912 (H,wt=16): 10029 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(10025(a,1),208(a,1)),flip(a)]. given #8913 (H,wt=16): 10030 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(10025(a,1),266(a,1)),flip(b)]. given #8914 (H,wt=17): 10026 x / (y \ R(y,z,y)) = (y \ R(y,z,y)) \ x. [hyper(6157,a,10024,a),flip(a)]. given #8915 (H,wt=17): 10046 K(x * y,x) != z | K(y,x) * a(x,y,x) = z. [para(9171(a,1),10023(a,1))]. given #8916 (H,wt=19): 10031 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(10025(a,1),5301(a,1,1,1))]. given #8917 (H,wt=11): 10047 T(x,R(a(y,z,y),u,w)) = x. [hyper(174,a,10031,a)]. given #8918 (H,wt=20): 10018 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(9372(a,1),10015(a,1,2)),flip(a)]. given #8919 (H,wt=20): 10032 (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). [para(10025(a,1),5436(a,1,1)),flip(a)]. given #8920 (H,wt=20): 10034 x * a(y,z,y) != u * w | u \ (a(y,z,y) * x) = w. [para(10020(a,1),516(a,1,2))]. given #8921 (H,wt=22): 10036 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(255,a,9609,a(flip),b,10017,a)]. given #8922 (H,wt=23): 10045 T(a(x / y,z,x / y),u) = (x / y) \ R(x / y,z,y \ x). [para(7460(a,1),10033(a,2,2))]. given #8923 (H,wt=24): 10039 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(10017(a,1),574(a,1,2,1))]. given #8924 (H,wt=20): 10048 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(10020(a,1),10039(a,2,1))]. given #8925 (H,wt=21): 10049 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(9164(a,2),10048(a,1,2,1))]. given #8926 (H,wt=25): 10043 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = a(y,z,y) \ x. [hyper(255,a,9874,a,b,10021,a(flip)),flip(a)]. given #8927 (H,wt=18): 10051 (x / K(y,z)) * K(y,y * z) = a(y,z,y) \ x. [para(9168(a,1),10043(a,1,1,2))]. given #8928 (H,wt=18): 10052 (x * K(y,z)) * K(z,z * y) = a(z,y,z) \ x. [para(6673(a,1),10051(a,1,1))]. given #8929 (H,wt=15): 10053 (x / R(y,z,y)) * y = a(y,z,y) \ x. [hyper(255,a,7065,a(flip),b,10052,a(flip)),flip(a)]. given #8930 (H,wt=13): 10057 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(79,a,10053,a(flip),b,9217,a(flip)),flip(a)]. given #8931 (H,wt=15): 10054 (x / R(y,z,y)) * y = x / a(y,z,y). [hyper(255,a,10021,a,b,10053,a)]. given #8932 (H,wt=15): 10055 (a(x,y,x) * (z * x)) / R(x,y,x) = z. [hyper(23,a,18,a(flip),b,10053,a)]. given #8933 (H,wt=15): 10056 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(255,a,9217,a(flip),b,10053,a(flip)),flip(a)]. given #8934 (H,wt=14): 10063 a(x,y,x) \ x != z | L(x,y,x) = z. [para(10056(a,1),220(a,1)),flip(b)]. given #8935 (H,wt=15): 10058 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(81,a,20,a(flip),b,10054,a),flip(a)]. given #8936 (H,wt=15): 10059 x * (y \ L(y,z,y)) = x / a(y,z,y). [hyper(255,a,9217,a(flip),b,10054,a(flip)),flip(a)]. given #8937 (H,wt=15): 10060 a(x,y,x) * (z * x) = z * R(x,y,x). [para(10055(a,1),21(a,1,1)),flip(a)]. given #8938 (H,wt=15): 10061 (x * R(y,z,y)) / (x * y) = a(y,z,y). [para(10055(a,1),77(a,1,1,1))]. given #8939 (H,wt=15): 10064 (x / y) * R(y,z,y) = x * a(y,z,y). [para(10058(a,1),21(a,1,1))]. given #8940 (H,wt=15): 10065 x / (y \ L(y,z,y)) = x * a(y,z,y). [hyper(81,a,20,a(flip),b,10059,a)]. given #8941 (H,wt=15): 10066 (x * y) * a(y,z,y) = x * R(y,z,y). [hyper(10023,a,10060,a)]. given #8942 (H,wt=15): 10072 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(255,a,7516,a,b,10064,a(flip)),flip(a)]. given #8943 (H,wt=15): 10075 x / (a(y,z,y) \ 1) = x * a(y,z,y). [para(10057(a,2),10065(a,1,2))]. given #8944 (H,wt=14): 10079 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [hyper(500,a,10075,a)]. given #8945 (H,wt=14): 10080 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(10057(a,1),10079(a,1,3))]. given #8946 (H,wt=15): 10077 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(18(a,1),10072(a,1,2)),flip(a)]. given #8947 (H,wt=15): 10082 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(10029,a,10077,a)]. given #8948 (H,wt=16): 10081 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [para(9153(a,2),10080(a,1,2))]. given #8949 (H,wt=17): 10062 a(x,y,x) \ K(x,z) = x \ L(T(x,z),y,x). [hyper(255,a,7709,a(flip),b,10056,a(flip))]. given #8950 (H,wt=18): 10068 (x * R(y,z,y)) / (x * y) != u | a(y,z,y) = u. [para(10060(a,1),304(a,1,1)),flip(b)]. given #8951 (H,wt=18): 10069 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(10061(a,1),226(a,1,1)),flip(b)]. given #8952 (H,wt=20): 10073 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4624(a,1),10064(a,1,2))]. given #8953 (H,wt=21): 10067 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(81,a,10060,a(flip),b,97,a(flip))]. given #8954 (H,wt=21): 10078 R(x,y,x) * (T(x,z) \ u) = (K(z,x) * u) * a(x,y,x). [para(5556(a,1),10072(a,1,2))]. given #8955 (H,wt=22): 10071 a(x,y,x) * (z * x) != u * w | (z * R(x,y,x)) / w = u. [para(10061(a,1),369(a,1,1))]. given #8956 (H,wt=23): 10074 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10064(a,2),9382(a,1,2))]. given #8957 (H,wt=24): 10076 (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). [para(10066(a,1),10032(a,1,1,2))]. given #8958 (H,wt=24): 10084 (x * R(x \ y,z,x \ y)) / y != u | a(x \ y,z,x \ y) = u. [para(19(a,1),10068(a,1,2))]. given #8959 (H,wt=26): 10038 (a(x,y,x) * z) \ ((z * u) * a(x,y,x)) != w | L(u,z,a(x,y,x)) = w. [para(10017(a,1),431(a,1,2))]. given #8960 (H,wt=27): 9791 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(73(a,1),9790(a,2,2))]. given #8961 (H,wt=27): 9866 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(18(a,1),9865(a,1,1,2,1)),flip(a)]. given #8962 (H,wt=23): 10085 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(18(a,1),9866(a,1,1,2,1)),flip(a)]. given #8963 (H,wt=27): 9867 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(255,a,4494,a(flip),b,8941,a)]. given #8964 (H,wt=23): 10086 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(18(a,1),9867(a,1,1,2,1))]. given #8965 (H,wt=27): 9878 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). [para(5822(a,1),9877(a,1,1,1))]. given #8966 (H,wt=25): 10087 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). [para(8482(a,1),9878(a,2,1,2))]. given #8967 (H,wt=27): 9959 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(9949(a,1),5905(a,2,2))]. given #8968 (H,wt=25): 10088 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(7666,a,9959,a)]. given #8969 (H,wt=23): 10089 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(138(a,1),10088(a,1,2,2))]. given #8970 (H,wt=27): 9989 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(1327(a,1),7689(a,1,2)),flip(a)]. given #8971 (H,wt=27): 9998 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). [hyper(255,a,9868,a(flip),b,8825,a)]. given #8972 (H,wt=27): 10004 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1751(a,1),9177(a,1,2,2))]. given #8973 (H,wt=25): 10091 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(127(a,1),10004(a,1,2)),flip(a)]. given #8974 (H,wt=19): 10092 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(255,a,10049,a(flip),b,10091,a)]. given #8975 (H,wt=27): 10005 (K(x,y) * T(z,u)) / K(x,T(y,z)) = (z * (K(x,y) * K(z,u))) * K(y,x). [para(7539(a,2),9256(a,1,2))]. given #8976 (H,wt=27): 10006 K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y). [para(8134(a,1),9384(a,1,1))]. given #8977 (H,wt=25): 10095 K(x,K(y,z \ 1)) \ (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(6222(a,1),10006(a,1,2))]. given #8978 (H,wt=25): 10096 K(K(x,y \ 1),z) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [hyper(5623,a,10095,a)]. given #8979 (H,wt=25): 10097 K(x,K(y \ 1,z)) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [para(8100(a,1),10096(a,1,1))]. given #8980 (H,wt=23): 10098 K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(8448(a,1),10097(a,1,1))]. given #8981 (H,wt=19): 10099 K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z). [hyper(9419,a,10098,a)]. given #8982 (H,wt=27): 10011 T(T(K(x,y) * z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). [para(9264(a,2),9579(a,1,1))]. given #8983 (H,wt=19): 10100 K(x,y) * (K(z,x) * (K(x,y) \ u)) = K(z,x) * u. [hyper(8207,a,10011,a)]. given #8984 (H,wt=19): 10102 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(18(a,1),10100(a,1,2,2))]. given #8985 (H,wt=19): 10103 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(5600(a,1),10100(a,1,2,2))]. given #8986 (H,wt=19): 10106 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [para(5608(a,1),10102(a,1,2)),flip(a)]. given #8987 (H,wt=19): 10108 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(5622,a,10103,a)]. given #8988 (H,wt=19): 10109 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(5622,a,10106,a)]. given #8989 (H,wt=19): 10111 K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. [hyper(8920,a,10109,a)]. given #8990 (H,wt=21): 10104 T(x,y) \ (x * (K(x,z) * u)) = K(x,z) * (K(y,x) * u). [hyper(255,a,5559,a,b,10102,a),flip(a)]. given #8991 (H,wt=19): 10114 T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). [para(5220(a,1),10104(a,1,2))]. given #8992 (H,wt=23): 10112 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(8138(a,2),10109(a,1,1))]. given #8993 (H,wt=23): 10115 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(8138(a,2),10112(a,2,2,1))]. given #8994 (H,wt=23): 10116 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(310,a,10115,a),flip(a)]. given #8995 (H,wt=23): 10117 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(8138(a,2),10116(a,1,2,1))]. given #8996 (H,wt=26): 10105 (K(x,y) * K(z,x)) \ (K(z,x) * (K(x,y) * u)) = L(u,K(z,x),K(x,y)). [hyper(80,a,10102,a(flip),b,112,a)]. given #8997 (H,wt=20): 10118 L(x,K(y,z),K(z,u)) != w | L(x,K(z,u),K(y,z)) = w. [para(10105(a,1),2086(a,1))]. given #8998 (H,wt=27): 10083 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(10082(a,1),466(a,1,1,1))]. given #8999 (H,wt=27): 10090 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(255,a,7818,a,b,9989,a(flip)),flip(a)]. given #9000 (H,wt=25): 10119 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(255,a,7816,a(flip),b,10090,a(flip)),flip(a)]. given #9001 (H,wt=27): 10094 (x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) * K(z,T(y,x)). [hyper(7607,a,10005,a),flip(a)]. given #9002 (H,wt=27): 10107 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(7044(a,1),10102(a,1,2,1)),flip(a)]. given #9003 (H,wt=25): 10121 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(7044(a,1),10107(a,1,1))]. given #9004 (H,wt=27): 10120 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (T(x,u) * K(z,T(y,x))). [hyper(255,a,7774,a(flip),b,10094,a)]. given #9005 (H,wt=27): 10122 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (K(x,u) * (K(z,y) * x)). [para(7566(a,2),10120(a,2,2))]. given #9006 (H,wt=21): 10123 K(x,y) * (K(z,u) * (K(y,x) * z)) = T(z,T(u,K(x,y))). [hyper(8417,a,10122,a),flip(a)]. given #9007 (H,wt=25): 10124 K(x,y) * (K(K(x,y) * z,u) * z) = T(K(x,y) * z,T(u,K(x,y))). [para(5608(a,1),10123(a,1,2,2))]. given #9008 (H,wt=25): 10125 K(x,y) * (z * K(z * K(x,y),u)) = T(K(x,y) * z,T(u,K(x,y))). [para(8285(a,1),10124(a,1,2))]. given #9009 (H,wt=28): 7763 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(7507(a,1),5991(a,1,1,1,2))]. given #9010 (H,wt=21): 10126 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [hyper(255,a,5991,a(flip),b,7763,a(flip))]. given #9011 (H,wt=28): 7820 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(7759(a,1),5991(a,1,1,1,2))]. given #9012 (H,wt=21): 10127 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(255,a,5991,a(flip),b,7820,a(flip))]. given #9013 (H,wt=24): 10128 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(114(a,2),10127(a,1,1))]. given #9014 (H,wt=26): 10129 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(10127(a,1),9431(a,1,2))]. given #9015 (H,wt=28): 8071 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(8032(a,1),5821(a,1,1,2))]. given #9016 (H,wt=24): 10130 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(255,a,7794,a(flip),b,8071,a(flip)),flip(a)]. given #9017 (H,wt=19): 10132 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(255,a,5821,a(flip),b,10130,a(flip))]. given #9018 (H,wt=25): 10133 R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). [para(8479(a,1),10132(a,1,2))]. given #9019 (H,wt=28): 8079 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(8076(a,1),5993(a,1,2,1,2)),flip(a)]. given #9020 (H,wt=21): 10134 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(255,a,5993,a(flip),b,8079,a)]. given #9021 (H,wt=28): 8080 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(8076(a,1),5994(a,1,2,1,2)),flip(a)]. given #9022 (H,wt=21): 10135 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(255,a,5994,a(flip),b,8080,a)]. given #9023 (H,wt=17): 10136 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(5340(a,1),10135(a,1,1)),flip(a)]. given #9024 (H,wt=28): 8145 (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. [para(8134(a,1),5646(a,1,2))]. given #9025 (H,wt=28): 8292 (x * K(y,z)) * a(K(y,T(z,x)),u,u \ x) = (K(y,T(z,x)) * u) * (u \ x). [para(8235(a,1),633(a,1,1))]. given #9026 (H,wt=28): 8617 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8429(a,2),5619(a,1,1))]. given #9027 (H,wt=24): 10137 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8197(a,1),8617(a,1,1,3))]. given #9028 (H,wt=24): 10138 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5600(a,1),10137(a,2,2))]. given #9029 (H,wt=28): 8988 L(T(K(x,T(y,z)),u * (K(y,x) * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [hyper(81,a,7629,a(flip),b,8237,a),flip(a)]. given #9030 (H,wt=28): 9121 (x * K(y,z)) * R(K(z,u),w,v5) != v6 | x * (K(y,z) * R(K(z,u),w,v5)) = v6. [para(9115(a,1),739(a,1,2,1))]. given #9031 (H,wt=28): 9319 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(6454(a,1),9315(a,1,2)),flip(a)]. given #9032 (H,wt=28): 9555 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(9554(a,1),8868(a,1,1,1))]. given #9033 (H,wt=15): 10141 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(7891,a,9555,a)]. given #9034 (H,wt=28): 9726 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(255,a,6455,a(flip),b,9725,a)]. given #9035 (H,wt=28): 9812 L(K(T(T(x,y),z * y),u),y,z) * w = K((z * y) / (z * (u \ y)),x) \ w. [para(9770(a,1),6488(a,1,1)),flip(a)]. given #9036 (H,wt=28): 9845 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(255,a,5821,a(flip),b,9843,a(flip))]. given #9037 (H,wt=24): 10144 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(8049(a,1),9845(a,1,1,2))]. given #9038 (H,wt=19): 10145 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(255,a,5821,a(flip),b,10144,a(flip))]. given #9039 (H,wt=28): 9852 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(9851(a,1),124(a,1,1,1)),flip(a)]. given #9040 (H,wt=24): 10147 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(255,a,251,a(flip),b,9852,a)]. given #9041 (H,wt=22): 10148 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(255,a,5242,a,b,10147,a)]. given #9042 (H,wt=22): 10150 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(255,a,8134,a,b,10148,a)]. given #9043 (H,wt=28): 9875 R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. [para(9191(a,2),25(a,1))]. given #9044 (H,wt=28): 9979 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(18(a,1),9977(a,1,1,1,1))]. given #9045 (H,wt=24): 10151 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(18(a,1),9979(a,2,2,1,1))]. given #9046 (H,wt=24): 10152 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(96,a,10151,a)]. given #9047 (H,wt=26): 10155 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(127(a,2),10152(a,1,2))]. given #9048 (H,wt=27): 10153 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(10151(a,1),304(a,1,1)),flip(b)]. given #9049 (H,wt=28): 10040 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w. [para(10017(a,1),686(a,1,1))]. given #9050 (H,wt=28): 10139 L(K(x,T(T(y,z),u * (K(y,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7539(a,2),8988(a,1,1))]. given #9051 (H,wt=24): 10157 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(8914(a,1),10139(a,1,1))]. given #9052 (H,wt=23): 10158 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(255,a,9770,a(flip),b,10157,a(flip)),flip(a)]. given #9053 (H,wt=28): 10140 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(8183,a,9319,a)]. given #9054 (H,wt=28): 10142 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1303(a,1),9726(a,1,2,1))]. given #9055 (H,wt=23): 10161 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(584(a,1),10142(a,1,2,2))]. given #9056 (H,wt=28): 10143 L(K(T(T(x,y),z * y),u),y,z) * w = K(x,(z * y) / (z * (u \ y))) * w. [hyper(255,a,5600,a(flip),b,9812,a)]. given #9057 (H,wt=28): 10156 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(9300(a,2),10155(a,1,1))]. given #9058 (H,wt=22): 10163 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(10156(a,1),466(a,1))]. given #9059 (H,wt=28): 10162 L(K(T(x,y),T(z,u * y)),y,u) * w = K(x,(u * y) / (u * (z \ y))) * w. [para(7542(a,1),10143(a,1,1,1))]. given #9060 (H,wt=28): 10164 L(K(x,T(T(y,z * u),u)),u,z) * w = K(x,(z * u) / (z * (y \ u))) * w. [para(7542(a,1),10162(a,1,1,1))]. given #9061 (H,wt=27): 10165 K((x * y) / (x * (z \ y)),u) * w = K(z,(x * y) / (x * (u \ y))) * w. [para(9415(a,1),10164(a,1,1))]. given #9062 (H,wt=23): 10166 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(25,a,10165,a)]. given #9063 (H,wt=23): 10167 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(255,a,10158,a(flip),b,10166,a(flip))]. given #9064 (H,wt=23): 10168 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(255,a,6520,a(flip),b,10166,a(flip))]. given #9065 (H,wt=23): 10169 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(10167(a,2),21(a,1,1))]. given #9066 (H,wt=21): 10172 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1304(a,1),10169(a,1,1,2))]. given #9067 (H,wt=21): 10173 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(10169(a,1),9088(a,1,2)),flip(a)]. given #9068 (H,wt=21): 10175 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5622,a,10172,a),flip(a)]. given #9069 (H,wt=19): 10178 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(80,a,64,a(flip),b,10175,a),flip(a)]. given #9070 (H,wt=21): 10176 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5608(a,1),10172(a,1,2,2)),flip(a)]. given #9071 (H,wt=23): 10170 K(x,(y * z) / (y * (u \ z))) * (y * z) = y * (K(x,u) * z). [para(10168(a,2),21(a,1,1))]. given #9072 (H,wt=17): 10181 K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). [para(10170(a,1),9676(a,1,2))]. given #9073 (H,wt=19): 10182 K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). [para(8606(a,1),10181(a,1,2,2))]. given #9074 (H,wt=23): 10174 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(10169(a,1),9246(a,1,2,2,1)),flip(a)]. given #9075 (H,wt=23): 10183 K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). [para(6880(a,1),10182(a,1,2,2)),flip(a)]. given #9076 (H,wt=25): 10180 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(7516(a,1),10176(a,2,2))]. given #9077 (H,wt=23): 10184 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5560(a,1),10180(a,1,2)),flip(a)]. given #9078 (H,wt=21): 10185 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(255,a,10074,a(flip),b,10184,a(flip))]. given #9079 (H,wt=21): 10186 (K(x,y) * z) * a(y,u,y) = y * (L(T(y,x),u,y) \ z). [hyper(255,a,10078,a(flip),b,10185,a(flip)),flip(a)]. given #9080 (H,wt=21): 10188 a(x,y,x) * (K(z,x) * u) = x * (L(T(x,z),y,x) \ u). [hyper(10029,a,10186,a)]. given #9081 (H,wt=27): 10171 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(10168(a,2),10153(a,1))]. given #9082 (H,wt=27): 10187 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(10185(a,1),7449(a,1,2))]. given #9083 (H,wt=25): 10189 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5634,a,10187,a),flip(a)]. given #9084 (H,wt=29): 5304 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(5216(a,1),2210(a,1,2,1)),flip(a)]. given #9085 (H,wt=27): 10190 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(5649(a,1),5304(a,2,1))]. given #9086 (H,wt=21): 10191 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(5216(a,1),10190(a,1,1,1))]. given #9087 (H,wt=21): 10192 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [para(10191(a,1),73(a,1,1))]. given #9088 (H,wt=29): 5400 T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(5381(a,1),2168(a,2,1,2,1))]. given #9089 (H,wt=27): 10194 T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(6086(a,1),5400(a,1,2,1))]. given #9090 (H,wt=27): 10195 K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [hyper(8694,a,10194,a)]. given #9091 (H,wt=27): 10196 K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7539(a,2),10195(a,1,2,1))]. given #9092 (H,wt=29): 5695 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5609(a,1),1814(a,1,2,2,1))]. given #9093 (H,wt=27): 10197 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(184(a,1),5695(a,1,2)),flip(a)]. given #9094 (H,wt=25): 10198 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(5381(a,1),10197(a,1,1,2,1))]. given #9095 (H,wt=29): 5696 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5609(a,1),1816(a,1,2,2,1))]. given #9096 (H,wt=27): 10199 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(183(a,1),5696(a,1,2)),flip(a)]. given #9097 (H,wt=25): 10200 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(5381(a,1),10199(a,1,1,2,1))]. given #9098 (H,wt=21): 10201 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(9938(a,1),10200(a,1,1)),flip(a)]. given #9099 (H,wt=21): 10202 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(255,a,10121,a,b,10201,a(flip)),flip(a)]. given #9100 (H,wt=21): 10203 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6491(a,1),10201(a,1,2)),flip(a)]. given #9101 (H,wt=21): 10204 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(80,a,5608,a(flip),b,10203,a),flip(a)]. given #9102 (H,wt=17): 10205 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(255,a,10202,a(flip),b,10204,a(flip))]. given #9103 (H,wt=17): 10206 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(416,a,10205,a)]. given #9104 (H,wt=20): 10208 x / (a(y,z,K(u,w)) * x) != v5 | a(y,z,K(w,u)) = v5. [para(10205(a,1),303(a,1,2)),flip(b)]. given #9105 (H,wt=21): 10207 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(255,a,9940,a,b,10205,a)]. given #9106 (H,wt=24): 10209 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(10207(a,2),24(a,1))]. given #9107 (H,wt=29): 5871 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5683(a,1),424(a,1,1))]. given #9108 (H,wt=29): 6226 x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). [para(354(a,1),5578(a,1,2,2,1,2))]. given #9109 (H,wt=29): 6309 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(163(a,1),5821(a,2,3))]. given #9110 (H,wt=27): 10212 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(3718(a,1),6309(a,1,1))]. given #9111 (H,wt=27): 10213 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(5886(a,1),10212(a,1,1,1))]. given #9112 (H,wt=29): 6335 (K(x,y) \ (z * u)) \ (K(x,y) \ (z * (u * w))) = L(L(w,u,z),z * u,K(y,x)). [para(112(a,1),6305(a,1,2,2))]. given #9113 (H,wt=29): 6427 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6426(a,1),1980(a,2,2,1))]. given #9114 (H,wt=25): 10214 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6978(a,1),6427(a,1,1,1))]. given #9115 (H,wt=20): 10215 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(81,a,8995,a(flip),b,10214,a(flip))]. given #9116 (H,wt=29): 6522 K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5988(a,1),6044(a,1,2,2,1)),flip(a)]. given #9117 (H,wt=27): 10216 K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5699(a,1),6522(a,1,2,2,1,1))]. given #9118 (H,wt=23): 10217 K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). [para(5265(a,1),10216(a,1,2,2,1)),flip(a)]. given #9119 (H,wt=29): 6698 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(6672(a,1),636(a,1,1,2))]. given #9120 (H,wt=29): 7321 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(80,a,5294,a(flip),b,5225,a),flip(a)]. given #9121 (H,wt=29): 7367 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(7366(a,1),25(a,1))]. given #9122 (H,wt=18): 10219 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(9140(a,1),7367(a,1)),flip(a)]. given #9123 (H,wt=29): 7929 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(4137(a,1),7624(a,1,2))]. given #9124 (H,wt=25): 10220 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(8885(a,1),7929(a,1,1)),flip(a)]. given #9125 (H,wt=23): 10221 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [hyper(255,a,7662,a(flip),b,10220,a)]. given #9126 (H,wt=17): 10222 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(4137(a,1),10221(a,1,1)),flip(a)]. given #9127 (H,wt=21): 10223 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [hyper(9841,a,10222,a)]. given #9128 (H,wt=29): 8659 K(x,y) * (T(z,K(x,y)) * R(K(y,u),w,v5)) = (z * K(x,y)) * R(K(y,u),w,v5). [para(7756(a,1),430(a,1,2)),flip(a)]. given #9129 (H,wt=29): 8752 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4906(a,1),7822(a,1,1))]. given #9130 (H,wt=27): 10225 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(83,a,8752,a),flip(a)]. given #9131 (H,wt=23): 10226 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4902(a,1),10225(a,1,1)),flip(a)]. given #9132 (H,wt=29): 8759 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). [para(8757(a,1),5992(a,1,1,1,2)),flip(a)]. given #9133 (H,wt=22): 10228 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(255,a,5992,a(flip),b,8759,a)]. given #9134 (H,wt=25): 10229 K(L(x,y,z),u \ L(K(x,w),v5,v6)) != v7 | K(L(x,y,z),u \ 1) = v7. [para(8759(a,2),6797(a,1))]. given #9135 (H,wt=29): 8887 K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K((T(x,y) / z) \ x,T(x,y) / z). [para(8806(a,1),8886(a,1,1,2))]. given #9136 (H,wt=29): 8944 T(R(K(x,y),z,u),w) * w != R(K(x,y),z,u) * v5 | T(w,R(K(x,y),z,u)) = v5. [para(8821(a,2),173(a,2)),flip(a)]. given #9137 (H,wt=29): 8952 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(6008(a,1),8951(a,1,2,1)),flip(a)]. given #9138 (H,wt=27): 10230 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(255,a,8951,a(flip),b,8952,a)]. given #9139 (H,wt=23): 10231 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(70(a,1),10230(a,1,1,2,1,2,1))]. given #9140 (H,wt=21): 10232 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(255,a,8582,a(flip),b,10231,a(flip)),flip(a)]. given #9141 (H,wt=17): 10233 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(8555,a,10232,a)]. given #9142 (H,wt=29): 9001 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). [para(8808(a,1),33(a,2,2,2)),flip(a)]. given #9143 (H,wt=24): 10234 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [hyper(255,a,7671,a(flip),b,9001,a)]. given #9144 (H,wt=29): 9145 (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),w). [para(45(a,2),9135(a,1,2,2))]. given #9145 (H,wt=29): 9259 T(x * K(L(y \ 1,z,u) \ 1,w),K(w,v5)) = T(x,K(w,v5)) * L(K(y,w),z,u). [para(6475(a,1),9257(a,2,2))]. given #9146 (H,wt=25): 10236 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(6475(a,1),9259(a,1,1,2))]. given #9147 (H,wt=25): 10237 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). [hyper(5047,a,10236,a)]. given #9148 (H,wt=25): 10238 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)). [para(6488(a,1),10237(a,2,1))]. given #9149 (H,wt=25): 10239 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(6494,a,10238,a),flip(a)]. given #9150 (H,wt=29): 9275 T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [para(5808(a,1),9274(a,1,1,2))]. given #9151 (H,wt=25): 10241 T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [hyper(255,a,4984,a(flip),b,9275,a(flip)),flip(a)]. given #9152 (H,wt=19): 10242 T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). [hyper(255,a,9274,a(flip),b,10241,a(flip))]. given #9153 (H,wt=29): 9388 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(9306(a,1),7455(a,1,1,2)),flip(a)]. given #9154 (H,wt=27): 10243 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(184(a,1),9388(a,2,1))]. given #9155 (H,wt=23): 10244 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(255,a,9304,a(flip),b,10243,a(flip))]. given #9156 (H,wt=29): 9436 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(255,a,9135,a,b,9000,a(flip)),flip(a)]. given #9157 (H,wt=27): 10245 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1849(a,1),9436(a,1,2))]. given #9158 (H,wt=17): 10246 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(636,a,10245,a),flip(a)]. given #9159 (H,wt=20): 10247 x \ R(x,y,L(x,z,u)) != w | a(x,y,L(x,z,u)) = w. [para(10245(a,1),636(a,1))]. given #9160 (H,wt=20): 10249 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [para(10246(a,1),9437(a,1,2))]. given #9161 (H,wt=23): 10250 K(x * L(y,z,u),y) != K(x,y) * w | a(y,x,L(y,z,u)) = w. [para(10249(a,1),24(a,1))]. given #9162 (H,wt=26): 10248 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)). [para(7157(a,1),10246(a,1,2)),flip(a)]. given #9163 (H,wt=29): 9438 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(255,a,9135,a,b,9008,a(flip)),flip(a)]. given #9164 (H,wt=27): 10251 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1958(a,1),9438(a,1,2))]. given #9165 (H,wt=17): 10252 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(636,a,10251,a),flip(a)]. given #9166 (H,wt=17): 10255 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(10252(a,1),19(a,1,2))]. given #9167 (H,wt=19): 10256 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(10252(a,1),6135(a,1,1)),flip(a)]. given #9168 (H,wt=20): 10253 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10251(a,1),636(a,1))]. given #9169 (H,wt=20): 10254 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(9439,a,10252,a)]. given #9170 (H,wt=20): 10261 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(10254(a,1),6689(a,1,1))]. given #9171 (H,wt=23): 10257 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(10252(a,1),9387(a,1,2)),flip(a)]. given #9172 (H,wt=21): 10265 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5671,a,10257,a)]. given #9173 (H,wt=21): 10267 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(10265(a,1),19(a,1,2))]. given #9174 (H,wt=23): 10260 K(x * R(y,z,u),y) * K(y,x) != w | a(y,x,R(y,z,u)) = w. [para(9008(a,2),10253(a,1))]. given #9175 (H,wt=25): 10264 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(21(a,1),10261(a,1,2,2))]. given #9176 (H,wt=25): 10266 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(255,a,1070,a(flip),b,10265,a(flip)),flip(a)]. given #9177 (H,wt=28): 10263 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(10254(a,1),8818(a,1,1)),flip(a)]. given #9178 (H,wt=29): 9732 ((1 / x) * y) * T(((1 / x) * y) \ (K(z,u) * y),z) = K(z,u) * (K(x,z) * y). [para(5777(a,1),9715(a,1,2)),flip(a)]. given #9179 (H,wt=25): 10268 ((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u). [hyper(255,a,1638,a(flip),b,9732,a(flip)),flip(a)]. given #9180 (H,wt=23): 10269 (K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u). [para(8758(a,2),10268(a,1,1))]. given #9181 (H,wt=19): 10270 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(73(a,1),10269(a,1,1,2,1))]. given #9182 (H,wt=10): 10271 L(x,K(y,z),K(z,u)) = x. [hyper(422,a,10270,a)]. given #9183 (H,wt=10): 10278 L(x,K(y,z),K(u,y)) = x. [hyper(10118,a,10271,a)]. given #9184 (H,wt=12): 10281 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7542(a,1),10271(a,1,2))]. given #9185 (H,wt=18): 10279 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(255,a,4506,a(flip),b,10271,a)]. given #9186 (H,wt=18): 10285 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(10279(a,1),9047(a,1,2,3))]. given #9187 (H,wt=19): 10275 (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). [para(2075(a,1),10270(a,1,1))]. given #9188 (H,wt=19): 10280 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [hyper(255,a,6306,a(flip),b,10271,a(flip)),flip(a)]. given #9189 (H,wt=19): 10283 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(10278(a,1),112(a,1,2))]. given #9190 (H,wt=12): 10289 R(K(x,y),K(y,z),u) = K(x,y). [hyper(5091,a,10283,a)]. given #9191 (H,wt=19): 10287 (K(x,y) * z) / (K(u,y) * z) = K(x,y) * K(y,u). [hyper(81,a,10103,a(flip),b,10275,a)]. given #9192 (H,wt=19): 10288 (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). [para(2075(a,1),10280(a,1,1))]. given #9193 (H,wt=19): 10290 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(81,a,10106,a(flip),b,10283,a)]. given #9194 (H,wt=21): 10272 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(172,a,10270,a,b,19,a),flip(a)]. given #9195 (H,wt=21): 10295 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(255,a,10002,a(flip),b,10272,a(flip)),flip(a)]. given #9196 (H,wt=23): 10284 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(10281(a,1),112(a,1,2))]. given #9197 (H,wt=23): 10293 (K(x,T(y,z)) * K(y,u)) \ w = K(y,T(x,z)) * (K(u,y) * w). [para(7542(a,1),10288(a,1,1,1))]. given #9198 (H,wt=24): 10273 K(x,y) * (K(z,x) * u) != u * w | T(K(x,y) * K(z,x),u) = w. [para(10270(a,1),173(a,2)),flip(a)]. given #9199 (H,wt=24): 10277 (K(x,y) * z) / (K(y,u) * (K(x,y) * z)) = R(K(u,y),K(x,y),z). [para(10270(a,1),6417(a,1,2))]. given #9200 (H,wt=12): 10296 R(K(x,y),K(z,y),u) = K(x,y). [hyper(5613,a,10277,a),flip(a)]. given #9201 (H,wt=25): 10292 (x * K(y,z)) / (K(u,T(z,x)) * x) = K(y,T(z,x)) * K(T(z,x),u). [para(8235(a,1),10287(a,1,1))]. given #9202 (H,wt=23): 10298 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(T(z,x),u). [para(8235(a,1),10292(a,1,2))]. given #9203 (H,wt=23): 10299 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(z,T(u,x)). [para(7542(a,1),10298(a,2,2))]. given #9204 (H,wt=25): 10294 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5162(a,1),10290(a,1,1))]. given #9205 (H,wt=27): 10286 K(x,y) * (K(z,x) * K(K(z,x) * K(x,y),u)) = T(K(z,x) * K(x,y),u). [hyper(5255,a,10275,a),flip(a)]. given #9206 (H,wt=23): 10301 T(K(x,y) * K(z,x),T(u,K(x,y))) = T(K(z,x) * K(x,y),u). [hyper(255,a,10125,a(flip),b,10286,a(flip)),flip(a)]. given #9207 (H,wt=29): 9958 K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). [para(7039(a,1),9953(a,1,1))]. given #9208 (H,wt=29): 10093 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). [para(5216(a,1),10092(a,1,1,2)),flip(a)]. given #9209 (H,wt=23): 10302 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(5216(a,1),10093(a,2,2))]. given #9210 (H,wt=29): 10177 K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. [para(8242(a,1),10172(a,1,1))]. given #9211 (H,wt=25): 10303 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(8242(a,1),10177(a,1,2,2,1))]. given #9212 (H,wt=29): 10210 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5683(a,1),5871(a,1,2))]. given #9213 (H,wt=20): 10305 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(255,a,7283,a(flip),b,10210,a(flip))]. given #9214 (H,wt=29): 10218 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(255,a,1070,a(flip),b,7321,a(flip)),flip(a)]. given #9215 (H,wt=29): 10224 K(x,y) * T(z * R(K(y,u),w,v5),K(x,y)) = (z * K(x,y)) * R(K(y,u),w,v5). [para(9994(a,2),8659(a,1,2))]. given #9216 (H,wt=25): 10307 (x * R(K(y,z),u,w)) * K(v5,y) = (x * K(v5,y)) * R(K(y,z),u,w). [hyper(225,a,10224,a)]. given #9217 (H,wt=25): 10308 (x * R(K(y,z),u,w)) * K(v5,y) = x * (K(v5,y) * R(K(y,z),u,w)). [hyper(255,a,9120,a(flip),b,10307,a)]. given #9218 (H,wt=25): 10309 x / (K(y,z) * R(K(z,y),u,w)) = x * (K(z,y) * R(K(y,z),u,w)). [hyper(255,a,9869,a,b,10308,a(flip)),flip(a)]. given #9219 (H,wt=25): 10310 x * (K(y,z) * R(K(z,y),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(5604(a,1),10309(a,1,2)),flip(a)]. given #9220 (H,wt=21): 10311 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [para(5604(a,1),10310(a,1,2)),flip(a)]. given #9221 (H,wt=19): 10312 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(4320,a,10311,a)]. given #9222 (H,wt=29): 10258 T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [para(10133(a,2),10252(a,1,2))]. given #9223 (H,wt=25): 10313 a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(10253,a,10258,a)]. given #9224 (H,wt=29): 10259 R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(4787(a,1),10256(a,2,1))]. given #9225 (H,wt=27): 10314 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(10133(a,1),10259(a,1,1))]. given #9226 (H,wt=29): 10282 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(255,a,5436,a(flip),b,10278,a(flip)),flip(a)]. given #9227 (H,wt=29): 10315 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(9213,a,10282,a)]. given #9228 (H,wt=30): 6170 T(x,T(1 / y,z) \ x) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(3314(a,1),5725(a,1,2))]. given #9229 (H,wt=30): 6345 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(47(a,2),5518(a,2,2))]. given #9230 (H,wt=26): 10317 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3810(a,1),6345(a,1,2,1,1))]. given #9231 (H,wt=22): 10318 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3312(a,1),10317(a,1,2))]. given #9232 (H,wt=30): 6440 R(x,y,z) * (K(u,x) * w) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5. [para(6404(a,1),454(a,1))]. given #9233 (H,wt=13): 10319 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(6440,a,10176,a)]. given #9234 (H,wt=17): 10320 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(10319(a,1),7218(a,1,1,2)),flip(a)]. given #9235 (H,wt=13): 10321 R(K(x,y),R(x,z,u),w) = K(x,y). [hyper(255,a,6670,a(flip),b,10320,a)]. given #9236 (H,wt=21): 10322 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(255,a,6374,a(flip),b,10321,a(flip)),flip(a)]. given #9237 (H,wt=30): 7161 L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(6431(a,2),7059(a,2,2,1))]. given #9238 (H,wt=30): 7162 L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). [para(7099(a,2),7059(a,2,2,1))]. given #9239 (H,wt=30): 7194 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(7193(a,1),474(a,1,1))]. given #9240 (H,wt=25): 10323 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(255,a,6373,a(flip),b,7194,a(flip))]. given #9241 (H,wt=30): 7281 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(848(a,1),5529(a,1,2))]. given #9242 (H,wt=30): 8295 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. [para(8235(a,1),5630(a,1,1,3)),flip(a)]. given #9243 (H,wt=30): 8939 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(8803(a,1),5195(a,1,1,1))]. given #9244 (H,wt=28): 10326 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(8939(a,1),5485(a,1))]. given #9245 (H,wt=30): 9184 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(9170(a,1),867(a,1,1,2))]. given #9246 (H,wt=28): 10327 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(4446(a,1),9184(a,1,1)),flip(a)]. given #9247 (H,wt=30): 9197 T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). [hyper(172,a,9130,a,b,565,a)]. given #9248 (H,wt=23): 10328 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(10271(a,1),9197(a,1,1,1)),flip(a)]. given #9249 (H,wt=23): 10329 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2075(a,1),10328(a,1,2,2))]. given #9250 (H,wt=29): 10330 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(10329(a,1),6634(a,1,1))]. given #9251 (H,wt=25): 10331 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(6839(a,1),10330(a,1,1,1)),flip(a)]. given #9252 (H,wt=30): 9268 K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). [hyper(255,a,8595,a(flip),b,8590,a)]. given #9253 (H,wt=30): 9324 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). [para(445(a,1),9102(a,1,2,2)),flip(a)]. given #9254 (H,wt=30): 9565 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(4038(a,1),9563(a,2,2))]. given #9255 (H,wt=30): 9679 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (T(K(x,y),z) * T(x \ 1,z)). [para(9669(a,1),834(a,1,2,2)),flip(a)]. given #9256 (H,wt=30): 9721 L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). [para(9720(a,1),5253(a,1,2,1))]. given #9257 (H,wt=23): 10334 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(5490,a,9721,a),flip(a)]. given #9258 (H,wt=23): 10335 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(255,a,8852,a(flip),b,10334,a)]. given #9259 (H,wt=23): 10336 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(8861,a,10335,a)]. given #9260 (H,wt=23): 10337 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9850(a,1),10336(a,1,2))]. given #9261 (H,wt=24): 10338 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(255,a,10129,a(flip),b,10337,a(flip))]. given #9262 (H,wt=21): 10339 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(255,a,8856,a(flip),b,10338,a(flip))]. given #9263 (H,wt=21): 10340 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(8136,a,10339,a)]. given #9264 (H,wt=24): 10341 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(255,a,9983,a(flip),b,10340,a(flip)),flip(a)]. given #9265 (H,wt=12): 10342 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(255,a,9758,a(flip),b,10341,a)]. given #9266 (H,wt=10): 10344 K(x,K(y,a(z,x,u))) = 1. [para(166(a,1),10342(a,1,2,2,3))]. given #9267 (H,wt=15): 10346 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(10344(a,1),8105(a,1,2)),flip(a)]. given #9268 (H,wt=13): 10347 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(255,a,17,a(flip),b,10346,a)]. given #9269 (H,wt=17): 10348 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(255,a,8367,a(flip),b,10347,a(flip)),flip(a)]. given #9270 (H,wt=21): 10349 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [para(10348(a,1),127(a,1,2)),flip(a)]. given #9271 (H,wt=30): 9729 L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(9728(a,1),5195(a,1,1,1))]. given #9272 (H,wt=28): 10350 K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. [para(9729(a,1),5485(a,1))]. given #9273 (H,wt=30): 9836 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(255,a,9029,a(flip),b,9835,a(flip)),flip(a)]. given #9274 (H,wt=26): 10351 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(9836(a,2),9337(a,1))]. given #9275 (H,wt=30): 9997 K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(473(a,2),9996(a,1,2,2))]. given #9276 (H,wt=30): 10037 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) = R(T(u,x * a(y,z,y)),x,a(y,z,y)). [hyper(80,a,10017,a,b,573,a)]. given #9277 (H,wt=27): 10352 R(T(x,y * a(z,u,z)),y,a(z,u,z)) != w | L(T(x,y),y,a(z,u,z)) = w. [para(10037(a,1),10040(a,1))]. given #9278 (H,wt=30): 10262 K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). [para(8060(a,1),10254(a,1,1))]. given #9279 (H,wt=25): 10353 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(7554(a,1),10262(a,1,2)),flip(a)]. given #9280 (H,wt=20): 10354 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(255,a,10254,a(flip),b,10353,a)]. given #9281 (H,wt=17): 10357 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(332(a,1),10354(a,1,2,2))]. given #9282 (H,wt=25): 10356 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(129(a,1),10354(a,1,2)),flip(a)]. given #9283 (H,wt=25): 10358 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(10356(a,1),10264(a,1,1))]. given #9284 (H,wt=25): 10359 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(255,a,7618,a(flip),b,10358,a)]. given #9285 (H,wt=30): 10316 T(x,T((1 / y) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(8805(a,1),6170(a,1,1))]. given #9286 (H,wt=30): 10324 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1940(a,2),7281(a,1,2))]. given #9287 (H,wt=27): 10361 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(224,a,10324,a)]. given #9288 (H,wt=23): 10362 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(6223(a,1),10361(a,1,2)),flip(a)]. given #9289 (H,wt=21): 10363 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5209(a,1),10362(a,2,2))]. given #9290 (H,wt=21): 10364 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(73(a,1),10363(a,1,1,2,1))]. given #9291 (H,wt=17): 10365 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(73(a,1),10364(a,2,2,1,2))]. given #9292 (H,wt=17): 10366 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(80,a,6834,a(flip),b,10365,a(flip))]. given #9293 (H,wt=17): 10367 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(80,a,10365,a(flip),b,7184,a(flip))]. given #9294 (H,wt=12): 10373 L(K(x,y),y \ 1,z) = K(x,y). [hyper(5532,a,10367,a)]. given #9295 (H,wt=17): 10369 (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). [para(5192(a,1),10365(a,2,2))]. given #9296 (H,wt=17): 10371 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(6672(a,1),10365(a,1,1)),flip(a)]. given #9297 (H,wt=17): 10372 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [para(128(a,1),10366(a,2,1))]. given #9298 (H,wt=17): 10375 (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). [hyper(255,a,7184,a(flip),b,10369,a(flip)),flip(a)]. given #9299 (H,wt=17): 10377 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(10372(a,1),5025(a,1,1)),flip(a)]. given #9300 (H,wt=19): 10379 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(255,a,4424,a(flip),b,10377,a(flip)),flip(a)]. given #9301 (H,wt=21): 10380 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(6466(a,1),10379(a,2,1,1))]. given #9302 (H,wt=19): 10381 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(7315(a,1),10380(a,1,1))]. given #9303 (H,wt=22): 10374 L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). [hyper(255,a,9294,a(flip),b,10373,a)]. given #9304 (H,wt=17): 10383 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(255,a,7032,a(flip),b,10374,a(flip)),flip(a)]. given #9305 (H,wt=21): 10384 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(255,a,9656,a(flip),b,10383,a(flip))]. given #9306 (H,wt=17): 10385 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(255,a,9687,a(flip),b,10384,a)]. given #9307 (H,wt=17): 10386 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(8081,a,10385,a)]. given #9308 (H,wt=20): 10387 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [hyper(255,a,8963,a(flip),b,10386,a(flip)),flip(a)]. given #9309 (H,wt=16): 10389 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(255,a,7240,a(flip),b,10387,a)]. given #9310 (H,wt=21): 10388 K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). [para(127(a,1),10386(a,1,1,1)),flip(a)]. given #9311 (H,wt=17): 10391 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [hyper(255,a,9685,a(flip),b,10388,a(flip))]. given #9312 (H,wt=18): 10393 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(255,a,7038,a,b,10391,a(flip)),flip(a)]. given #9313 (H,wt=18): 10394 L(K(x * y,x),y,z) = K(z \ (x * (z * y)),x). [hyper(255,a,7847,a(flip),b,10393,a)]. given #9314 (H,wt=18): 10395 L(K(x * y,y),x,z) = K(z \ ((z * x) * y),y). [para(5894(a,2),10393(a,1,1))]. given #9315 (H,wt=18): 10398 L(K(x * y,y),x,z) = K(z \ (y * (z * x)),y). [para(5894(a,2),10394(a,1,1))]. given #9316 (H,wt=20): 10392 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(255,a,7068,a,b,10391,a(flip)),flip(a)]. given #9317 (H,wt=22): 10378 (x * (y \ K(z,y))) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(10375(a,1),3766(a,1,1))]. given #9318 (H,wt=10): 10401 R(x,y \ 1,K(z,y)) = x. [hyper(304,a,10378,a)]. given #9319 (H,wt=12): 10404 R(x,y \ 1,K(z,T(y,u))) = x. [para(7542(a,1),10401(a,1,3))]. given #9320 (H,wt=14): 10405 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(5216(a,1),10404(a,1,3,2))]. given #9321 (H,wt=12): 10406 R(x,y \ K(y,z),K(u,y)) = x. [para(5402(a,1),10405(a,1,2))]. given #9322 (H,wt=10): 10408 R(x,y,K(z,y \ 1)) = x. [para(290(a,1),10406(a,1,2))]. given #9323 (H,wt=12): 10410 R(x,y \ z,K(u,z \ y)) = x. [para(6580(a,1),10408(a,1,3))]. given #9324 (H,wt=17): 10403 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [hyper(255,a,5328,a(flip),b,10401,a(flip)),flip(a)]. given #9325 (H,wt=15): 10412 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(5206(a,1),10403(a,1,2))]. given #9326 (H,wt=15): 10413 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [para(10412(a,1),73(a,1,1))]. given #9327 (H,wt=15): 10414 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [hyper(255,a,7117,a,b,10413,a(flip)),flip(a)]. given #9328 (H,wt=15): 10415 (T(x,y) \ 1) \ T(y,x) = (x \ 1) \ y. [para(10413(a,1),7118(a,1,1))]. given #9329 (H,wt=17): 10407 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(255,a,6752,a(flip),b,10406,a(flip)),flip(a)]. given #9330 (H,wt=15): 10419 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(5252(a,2),10407(a,1,1))]. given #9331 (H,wt=15): 10420 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [para(10419(a,2),73(a,1,1))]. given #9332 (H,wt=17): 10416 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(10414(a,1),4703(a,1,1)),flip(a)]. given #9333 (H,wt=17): 10417 K(x,y) * ((x \ 1) \ y) = (T(x,y) \ 1) \ y. [para(10415(a,1),6556(a,1,2))]. given #9334 (H,wt=17): 10422 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(73(a,1),10416(a,1,1,2,1)),flip(a)]. given #9335 (H,wt=17): 10423 (T(x,y) \ 1) \ y = x * (((x \ 1) \ y) / x). [hyper(255,a,5590,a(flip),b,10417,a(flip))]. given #9336 (H,wt=17): 10424 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [para(10422(a,1),70(a,1,2))]. given #9337 (H,wt=17): 10426 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [hyper(255,a,7171,a,b,10424,a(flip))]. given #9338 (H,wt=17): 10427 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(10426(a,1),2229(a,1,1))]. given #9339 (H,wt=17): 10428 (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). [para(6064(a,2),10427(a,1,1))]. given #9340 (H,wt=17): 10429 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(18(a,1),10428(a,1,1,1,1)),flip(a)]. given #9341 (H,wt=19): 10411 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(10410(a,1),451(a,1,1))]. given #9342 (H,wt=21): 10421 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(5374(a,1),10420(a,2,2))]. given #9343 (H,wt=19): 10432 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(129(a,1),10421(a,1,1,1))]. given #9344 (H,wt=19): 10433 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(10432(a,1),7299(a,1,1))]. given #9345 (H,wt=21): 10434 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4690(a,2),10433(a,1,1,2))]. given #9346 (H,wt=23): 10376 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5216(a,1),10371(a,1,2,1))]. given #9347 (H,wt=19): 10436 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5385(a,1),10376(a,1,1,2))]. given #9348 (H,wt=19): 10437 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5849(a,1),10436(a,2,2))]. given #9349 (H,wt=10): 10439 R(x,K(y \ 1,z),y) = x. [hyper(5091,a,10437,a)]. given #9350 (H,wt=10): 10441 R(x,y,K(y \ 1,z)) = x. [hyper(7316,a,10439,a)]. given #9351 (H,wt=12): 10440 L(x \ 1,K(x,y),z) = x \ 1. [hyper(422,a,10437,a)]. given #9352 (H,wt=12): 10443 R(x,y \ z,K(y / z,u)) = x. [para(8315(a,1),10441(a,1,3))]. given #9353 (H,wt=19): 10442 (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). [para(10441(a,1),122(a,1,1)),flip(a)]. given #9354 (H,wt=14): 10445 L(K(x \ 1,y),x,z) = K(x \ 1,y). [hyper(422,a,10442,a)]. given #9355 (H,wt=10): 10446 a(x,y,K(y \ 1,z)) = 1. [hyper(39,a,10445,a)]. given #9356 (H,wt=10): 10447 a(x,y \ 1,K(y,z)) = 1. [para(3312(a,1),10446(a,1,3))]. given #9357 (H,wt=12): 10448 L(K(x,y),x \ 1,z) = K(x,y). [hyper(38,a,10447,a)]. given #9358 (H,wt=16): 10450 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(255,a,6185,a(flip),b,10448,a(flip)),flip(a)]. given #9359 (H,wt=18): 10451 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [para(10450(a,1),5252(a,2,2))]. given #9360 (H,wt=16): 10452 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(255,a,5252,a,b,10451,a)]. given #9361 (H,wt=19): 10444 x \ (y * K(x / y,z)) = (x \ y) * K(x / y,z). [para(10443(a,1),451(a,1,1))]. given #9362 (H,wt=17): 10454 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [hyper(255,a,1610,a(flip),b,10444,a(flip))]. given #9363 (H,wt=22): 10453 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(255,a,9386,a(flip),b,10452,a)]. given #9364 (H,wt=24): 10396 K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). [para(10393(a,1),9938(a,1,2))]. given #9365 (H,wt=24): 10455 K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). [para(10396(a,1),5628(a,1,2))]. given #9366 (H,wt=18): 10456 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(9957,a,10455,a)]. given #9367 (H,wt=18): 10458 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(5842(a,2),10456(a,1,1))]. given #9368 (H,wt=20): 10457 L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). [para(19(a,1),10456(a,2,2,2,1))]. given #9369 (H,wt=17): 10460 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [hyper(7521,a,10457,a)]. given #9370 (H,wt=17): 10461 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(255,a,9773,a,b,10460,a(flip)),flip(a)]. given #9371 (H,wt=21): 10462 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [hyper(255,a,10010,a(flip),b,10461,a(flip))]. given #9372 (H,wt=19): 10463 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [hyper(9335,a,10462,a)]. given #9373 (H,wt=17): 10464 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [hyper(255,a,9229,a(flip),b,10463,a(flip))]. given #9374 (H,wt=23): 10459 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(233(a,1),10458(a,2,2))]. given #9375 (H,wt=20): 10467 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(255,a,7049,a(flip),b,10459,a)]. given #9376 (H,wt=25): 10430 (((K(x,y) * K(z,x)) * u) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(9215(a,1),10429(a,1,1,1)),flip(a)]. given #9377 (H,wt=25): 10431 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(10411(a,1),7196(a,1,2))]. given #9378 (H,wt=17): 10470 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(5939,a,10431,a),flip(a)]. given #9379 (H,wt=11): 10471 K((x \ y) * (y \ x),z) = 1. [hyper(41,a,10470,a)]. given #9380 (H,wt=11): 10472 T(x,(y \ z) * (z \ y)) = x. [hyper(40,a,10470,a)]. given #9381 (H,wt=11): 10473 K(x * ((y * x) \ y),z) = 1. [para(18(a,1),10471(a,1,1,1))]. given #9382 (H,wt=11): 10476 T(x,y * ((z * y) \ z)) = x. [para(18(a,1),10472(a,1,2,1))]. given #9383 (H,wt=11): 10481 K(x,y * ((z * y) \ z)) = 1. [hyper(41,a,10476,a)]. given #9384 (H,wt=17): 10479 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(42,a,10473,a)]. given #9385 (H,wt=18): 10485 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(162(a,2),10479(a,1,1,2))]. given #9386 (H,wt=17): 10487 T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). [hyper(255,a,5928,a(flip),b,10485,a(flip)),flip(a)]. given #9387 (H,wt=19): 10480 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(6157,a,10476,a),flip(a)]. given #9388 (H,wt=19): 10486 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(255,a,9741,a(flip),b,10485,a(flip)),flip(a)]. given #9389 (H,wt=21): 10491 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(10486(a,1),2132(a,1,1))]. given #9390 (H,wt=22): 10482 x / (y * ((z * y) \ z)) != u | (y * ((z * y) \ z)) \ x = u. [para(10476(a,1),6157(a,1))]. given #9391 (H,wt=25): 10469 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(10270(a,1),10430(a,1,1,1))]. given #9392 (H,wt=25): 10492 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * (K(z,x) * 1),u). [para(10280(a,1),10469(a,2,1))]. given #9393 (H,wt=23): 10493 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * K(z,x),u). [para(17(a,1),10492(a,2,1,2))]. given #9394 (H,wt=26): 10390 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(10389(a,1),5826(a,1,2,1,2))]. given #9395 (H,wt=20): 10494 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(6046,a,10390,a),flip(a)]. given #9396 (H,wt=21): 10495 K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(3052(a,1),10494(a,1,1,1))]. given #9397 (H,wt=21): 10496 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [hyper(255,a,5767,a(flip),b,10495,a(flip)),flip(a)]. given #9398 (H,wt=21): 10497 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(255,a,9821,a(flip),b,10496,a)]. given #9399 (H,wt=19): 10498 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(255,a,9657,a(flip),b,10497,a(flip))]. given #9400 (H,wt=17): 10499 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(8560,a,10498,a),flip(a)]. given #9401 (H,wt=17): 10500 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(255,a,7216,a(flip),b,10499,a)]. given #9402 (H,wt=17): 10501 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(18(a,1),10500(a,1,1,1)),flip(a)]. given #9403 (H,wt=17): 10502 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(20(a,1),10501(a,1,1,1)),flip(a)]. given #9404 (H,wt=21): 10503 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). [hyper(3704,a,10502,a)]. given #9405 (H,wt=26): 10466 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [hyper(255,a,8265,a(flip),b,10464,a(flip))]. given #9406 (H,wt=22): 10504 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [hyper(255,a,3317,a(flip),b,10466,a)]. given #9407 (H,wt=22): 10505 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [hyper(8714,a,10504,a)]. given #9408 (H,wt=28): 10397 K(x \ (y * (x * z)),T(y,K(u,x \ (y * (x * z))))) = L(K(y * z,y),z,x). [hyper(255,a,7555,a,b,10394,a),flip(a)]. given #9409 (H,wt=19): 10507 K(L(x \ 1,x,y) \ z,z) = L(K(z * x,z),x,y). [hyper(255,a,9766,a(flip),b,10397,a(flip)),flip(a)]. given #9410 (H,wt=23): 10508 x / (L(K(y * z,y),z,u) * x) = K(y,L(z \ 1,z,u) \ y). [para(10507(a,1),5605(a,1,2,1))]. given #9411 (H,wt=19): 10509 K(x,L(y \ 1,y,z) \ x) = L(K(x,x * y),y,z). [hyper(6492,a,10508,a),flip(a)]. given #9412 (H,wt=24): 10510 L(K(x,x * ((y * z) \ y)),(y * z) \ y,z * y) = K(x,z \ x). [para(5463(a,1),10509(a,1,2,1)),flip(a)]. given #9413 (H,wt=28): 10506 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [hyper(255,a,9563,a,b,10505,a),flip(a)]. given #9414 (H,wt=26): 10511 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(7436(a,1),10506(a,1,1))]. given #9415 (H,wt=18): 10512 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(19(a,1),10511(a,2,2,1,2,1))]. given #9416 (H,wt=19): 10513 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [hyper(255,a,5893,a,b,10512,a),flip(a)]. given #9417 (H,wt=21): 10515 T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). [para(10513(a,1),5252(a,2,2))]. given #9418 (H,wt=30): 10325 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. [para(7542(a,1),8295(a,2,1,2))]. given #9419 (H,wt=28): 10516 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(9600(a,1),10325(a,2,1))]. given #9420 (H,wt=27): 10517 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(255,a,10138,a(flip),b,10516,a)]. given #9421 (H,wt=27): 10518 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7542(a,1),10517(a,1,1,2))]. given #9422 (H,wt=25): 10519 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(8235(a,1),10518(a,1,2))]. given #9423 (H,wt=30): 10332 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(47(a,2),9268(a,1,1,2))]. given #9424 (H,wt=30): 10333 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). [para(7539(a,2),9679(a,2,2,1))]. given #9425 (H,wt=26): 10522 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * T(x \ K(x,y),z). [para(10099(a,1),10333(a,2,2))]. given #9426 (H,wt=24): 10523 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [hyper(255,a,127,a(flip),b,10522,a)]. given #9427 (H,wt=24): 10524 L(x \ 1,K(x,T(y,z)),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(7539(a,2),10523(a,1,1,2))]. given #9428 (H,wt=17): 10525 (x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(10440(a,1),10524(a,1,1))]. given #9429 (H,wt=17): 10526 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [hyper(255,a,6532,a,b,10525,a(flip)),flip(a)]. given #9430 (H,wt=10): 10529 L(x,y \ 1,K(y,z)) = x. [hyper(3610,a,10526,a)]. given #9431 (H,wt=10): 10530 a(K(x,y),x \ 1,z) = 1. [hyper(39,a,10529,a)]. given #9432 (H,wt=17): 10527 ((x \ 1) * y) / ((x \ K(x,z)) * y) = K(z,x). [para(10525(a,1),6539(a,1,2))]. given #9433 (H,wt=12): 10531 R(K(x,y),y \ 1,z) = K(x,y). [hyper(255,a,6420,a(flip),b,10527,a(flip)),flip(a)]. given #9434 (H,wt=30): 10360 T(x,T((y \ 1) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(5088(a,1),10316(a,1,1))]. given #9435 (H,wt=30): 10400 L(K(x * T(y,z * x),T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). [para(127(a,1),10395(a,2,1,2))]. given #9436 (H,wt=26): 10534 L(K(x * y,T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). [para(8332(a,1),10400(a,1,1))]. given #9437 (H,wt=24): 10536 K(x \ (y * (x * z)),T(y,x * z)) = L(K(y * z,T(y,x)),z,x). [para(9827(a,1),10534(a,1,1)),flip(a)]. given #9438 (H,wt=20): 10537 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(8602,a,10536,a),flip(a)]. given #9439 (H,wt=23): 10538 L(K(x * y,T(x,z)),y,z) != u | K((z / (z * y)) \ x,x) = u. [para(10536(a,1),8602(a,1))]. given #9440 (H,wt=30): 10521 K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). [para(8193(a,1),10332(a,1,2))]. given #9441 (H,wt=23): 10539 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(8588(a,1),10521(a,1,2))]. given #9442 (H,wt=28): 10540 T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). [para(10539(a,1),5821(a,1,1,2))]. given #9443 (H,wt=26): 10542 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5819(a,1),10540(a,1,1))]. given #9444 (H,wt=21): 10543 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(255,a,7388,a(flip),b,10542,a(flip))]. given #9445 (H,wt=30): 10533 T(x,T(1 \ (y * x),z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(9890(a,1),10360(a,1,1))]. given #9446 (H,wt=28): 10545 T(x,T(y * x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(59(a,1),10533(a,1,1,2,1))]. given #9447 (H,wt=28): 10546 T(x,T(y * x,z)) * K((y \ 1) \ 1,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(7551(a,1),10545(a,1,2))]. given #9448 (H,wt=24): 10547 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(3312(a,1),10546(a,1,2))]. given #9449 (H,wt=31): 5067 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(255,a,4330,a(flip),b,5055,a(flip))]. given #9450 (H,wt=31): 5351 ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). [para(5263(a,2),877(a,1,2,1))]. given #9451 (H,wt=22): 10549 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(9426(a,1),5351(a,1,2))]. given #9452 (H,wt=31): 5571 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))). [para(5226(a,1),424(a,1,1)),flip(a)]. given #9453 (H,wt=25): 10551 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(5226(a,1),5571(a,2,2))]. given #9454 (H,wt=20): 10552 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = L(x,y,z). [hyper(255,a,33,a,b,10551,a)]. given #9455 (H,wt=11): 10554 L(x,y,T(x,z)) = L(x,y,x). [hyper(255,a,7750,a(flip),b,10552,a(flip)),flip(a)]. given #9456 (H,wt=15): 10556 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(10554(a,1),45(a,2,1))]. given #9457 (H,wt=15): 10558 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(255,a,45,a,b,10556,a)]. given #9458 (H,wt=15): 10559 L(T(x,y),T(z,x),x) = L(T(x,y),z,x). [hyper(255,a,4780,a(flip),b,10558,a(flip))]. given #9459 (H,wt=23): 10561 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(10558(a,1),9371(a,1,2,1))]. given #9460 (H,wt=13): 10562 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(9381,a,10561,a),flip(a)]. given #9461 (H,wt=23): 10564 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10562(a,1),9373(a,1,1,2))]. given #9462 (H,wt=21): 10565 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10066(a,1),10564(a,1,1))]. given #9463 (H,wt=19): 10567 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(255,a,10558,a(flip),b,10565,a)]. given #9464 (H,wt=31): 6662 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6629(a,1),860(a,1,2,1))]. given #9465 (H,wt=31): 6665 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(6631(a,1),6032(a,1,2))]. given #9466 (H,wt=31): 6669 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). [para(6633(a,1),457(a,1,2)),flip(a)]. given #9467 (H,wt=25): 10570 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(6633(a,1),6669(a,2,1))]. given #9468 (H,wt=20): 10571 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). [hyper(255,a,35,a,b,10570,a)]. given #9469 (H,wt=24): 10574 R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). [para(169(a,1),10571(a,1,2))]. given #9470 (H,wt=20): 10575 R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). [para(7158(a,1),10574(a,1,1))]. given #9471 (H,wt=16): 10576 R(x,y \ 1,y) != z | R(x,1 / y,y) = z. [para(10575(a,1),333(a,1)),flip(b)]. given #9472 (H,wt=31): 7324 T(x,y) \ (1 / (1 / T((T(z,x) * x) / T(z,x),y))) = (T(T(x,z),y) \ 1) * T(x,y). [para(4459(a,1),6325(a,2,1,1))]. given #9473 (H,wt=27): 10577 T(x,y) \ (1 / (1 / T(x * K(z,x),y))) = (T(T(x,z),y) \ 1) * T(x,y). [para(5414(a,1),7324(a,1,2,2,2,1))]. given #9474 (H,wt=27): 10578 T(x,y) \ T(1 / (1 / (x * K(z,x))),y) = (T(T(x,z),y) \ 1) * T(x,y). [para(2230(a,1),10577(a,1,2))]. given #9475 (H,wt=25): 10579 T(x,y) \ T(1 / (K(x,z) / x),y) = (T(T(x,z),y) \ 1) * T(x,y). [para(5649(a,1),10578(a,1,2,1,2))]. given #9476 (H,wt=25): 10580 T(x,y) \ T(1 / (K(x,z) / x),y) = K(x \ 1,x) * K(z,T(x,y)). [hyper(255,a,9731,a,b,10579,a)]. given #9477 (H,wt=23): 10581 T(1 / (1 / x),y) \ T(1 / (K(x,z) / x),y) = K(z,T(x,y)). [hyper(3460,a,10580,a)]. given #9478 (H,wt=31): 7920 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(255,a,6903,a,b,7487,a),flip(a)]. given #9479 (H,wt=31): 8638 K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). [para(6413(a,1),8589(a,1,1,2))]. given #9480 (H,wt=29): 10583 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(155(a,1),8638(a,1,1))]. given #9481 (H,wt=29): 10585 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(6673(a,1),10583(a,1,2))]. given #9482 (H,wt=24): 10586 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(10318(a,1),10585(a,1,2)),flip(a)]. given #9483 (H,wt=22): 10587 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(255,a,16,a(flip),b,10586,a)]. given #9484 (H,wt=22): 10588 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5622,a,10587,a)]. given #9485 (H,wt=31): 8896 K(T(x * K(y * K(z,u),w),y * K(z,u)),u) = K(y \ (x * T(y * K(z,u),w)),u). [para(6712(a,1),8891(a,1,1))]. given #9486 (H,wt=31): 8935 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(255,a,7943,a(flip),b,8784,a(flip))]. given #9487 (H,wt=31): 8973 K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). [para(424(a,1),8938(a,1,2))]. given #9488 (H,wt=26): 10592 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(255,a,7758,a(flip),b,8973,a(flip))]. given #9489 (H,wt=22): 10594 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(255,a,8937,a(flip),b,10592,a(flip))]. given #9490 (H,wt=17): 10596 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(33(a,2),10594(a,2,2))]. given #9491 (H,wt=17): 10597 K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). [para(5600(a,2),10596(a,1,2,2))]. given #9492 (H,wt=17): 10598 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5608(a,1),10596(a,1,2,2)),flip(a)]. given #9493 (H,wt=23): 10599 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10598(a,1),5602(a,1,2,2)),flip(a)]. given #9494 (H,wt=17): 10600 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(255,a,5602,a(flip),b,10599,a)]. given #9495 (H,wt=15): 10601 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(5207(a,1),10600(a,1,1,2)),flip(a)]. given #9496 (H,wt=31): 9040 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. [para(9037(a,1),5699(a,1,1,1)),flip(a)]. given #9497 (H,wt=31): 9236 K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). [para(457(a,1),9234(a,1,1))]. given #9498 (H,wt=26): 10602 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(255,a,8678,a(flip),b,9236,a(flip))]. given #9499 (H,wt=21): 10604 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(35(a,2),10602(a,1,1))]. given #9500 (H,wt=21): 10605 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(255,a,8097,a,b,10604,a(flip)),flip(a)]. given #9501 (H,wt=23): 10606 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(255,a,9494,a,b,10605,a(flip)),flip(a)]. given #9502 (H,wt=19): 10607 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(255,a,10173,a(flip),b,10606,a(flip)),flip(a)]. given #9503 (H,wt=17): 10609 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(255,a,9491,a(flip),b,10607,a(flip))]. given #9504 (H,wt=21): 10610 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(10609(a,1),5291(a,2,2,2))]. given #9505 (H,wt=20): 10611 T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. [para(10610(a,2),5406(a,1))]. given #9506 (H,wt=31): 9247 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,(((y * K(z,x)) * u) * w) / (u * w)). [para(457(a,1),9245(a,1,2))]. given #9507 (H,wt=26): 10612 K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). [hyper(255,a,8668,a(flip),b,9247,a(flip))]. given #9508 (H,wt=21): 10614 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). [para(35(a,2),10612(a,1,2))]. given #9509 (H,wt=21): 10615 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). [hyper(255,a,7928,a,b,10614,a(flip)),flip(a)]. given #9510 (H,wt=23): 10616 x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). [para(10615(a,1),5252(a,2,2)),flip(a)]. given #9511 (H,wt=21): 10617 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). [hyper(5255,a,10616,a),flip(a)]. given #9512 (H,wt=23): 10618 T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(5560(a,1),10617(a,1,2,1)),flip(a)]. given #9513 (H,wt=19): 10619 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(10611,a,10618,a),flip(a)]. given #9514 (H,wt=19): 10621 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(5719,a,10619,a)]. given #9515 (H,wt=31): 9711 T(T(x * K(y * T(x,z),x),u),w) \ T(T(x,u),w) = K(x,T(T(T(x,z) * y,w),u)). [para(8031(a,1),9498(a,1,1,1,1,2))]. given #9516 (H,wt=23): 10622 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,y),u),w)). [hyper(9499,a,9711,a),flip(a)]. given #9517 (H,wt=21): 10623 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [hyper(255,a,8841,a(flip),b,10622,a(flip))]. given #9518 (H,wt=31): 9980 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(9495,a,9926,a)]. given #9519 (H,wt=25): 10625 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(255,a,10141,a(flip),b,9980,a)]. given #9520 (H,wt=8): 10626 K(a(x,y,z),x) = 1. [hyper(6412,a,10625,a),flip(a)]. given #9521 (H,wt=11): 10628 T(a(x,y,z),x) = a(x,y,z). [hyper(42,a,10626,a)]. given #9522 (H,wt=13): 10629 a(x,y,z) * x = x * a(x,y,z). [para(10628(a,1),127(a,1,2)),flip(a)]. given #9523 (H,wt=17): 10630 T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). [para(4326(a,2),10628(a,1,1))]. given #9524 (H,wt=31): 10041 (a(x,y,x) * z) \ (z * (u * a(x,y,x))) != w | L(T(u,a(x,y,x)),a(x,y,x),z) = w. [para(10017(a,2),686(a,1,1))]. given #9525 (H,wt=31): 10070 ((x * y) * R(L(z,y,x),u,L(z,y,x))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(112(a,1),10061(a,1,2))]. given #9526 (H,wt=28): 10631 (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(428(a,1),10070(a,1,1))]. given #9527 (H,wt=31): 10160 K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. [para(10140(a,1),8183(a,1))]. given #9528 (H,wt=31): 10382 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(10381(a,1),4290(a,2,1))]. given #9529 (H,wt=21): 10632 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(23,a,5090,a(flip),b,10382,a)]. given #9530 (H,wt=31): 10548 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(5055(a,1),5067(a,2,1))]. given #9531 (H,wt=31): 10569 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(255,a,5030,a,b,6662,a),flip(a)]. given #9532 (H,wt=23): 10634 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(4216(a,1),10569(a,1,1)),flip(a)]. given #9533 (H,wt=23): 10635 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(10634(a,1),6665(a,1,1)),flip(a)]. given #9534 (H,wt=19): 10636 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(255,a,5588,a(flip),b,10635,a)]. given #9535 (H,wt=17): 10637 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(255,a,8596,a(flip),b,10636,a(flip)),flip(a)]. given #9536 (H,wt=31): 10582 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(4036(a,1),7920(a,1,1))]. given #9537 (H,wt=25): 10638 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(5268(a,1),10582(a,2,1))]. given #9538 (H,wt=21): 10639 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(9153(a,1),10638(a,1,1))]. given #9539 (H,wt=25): 10640 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(255,a,7919,a,b,10639,a),flip(a)]. given #9540 (H,wt=17): 10641 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(9875,a,10640,a)]. given #9541 (H,wt=31): 10589 K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(4814(a,1),10588(a,1,2,2))]. given #9542 (H,wt=28): 10642 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(7736(a,1),10589(a,1,1))]. given #9543 (H,wt=24): 10643 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(5186(a,2),10642(a,1,2))]. given #9544 (H,wt=24): 10645 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(6408(a,1),10643(a,1,1))]. given #9545 (H,wt=20): 10646 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(255,a,7811,a(flip),b,10645,a)]. given #9546 (H,wt=20): 10647 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(2081,a,10646,a)]. given #9547 (H,wt=31): 10591 K(x * K(y * K(z,u),w),T(u,y * K(z,u))) = K(y \ (x * T(y * K(z,u),w)),u). [hyper(7899,a,8896,a)]. given #9548 (H,wt=27): 10649 K(x \ (y * T(x * K(z,u),w)),u) = K(y * K(x * K(z,u),w),T(u,x)). [para(7967(a,1),10591(a,1,2)),flip(a)]. given #9549 (H,wt=32): 5095 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(81,a,4938,a(flip),b,122,a)]. given #9550 (H,wt=32): 5096 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(4014,a,4939,a),flip(a)]. given #9551 (H,wt=20): 10652 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4970(a,1),5096(a,1,2)),flip(a)]. given #9552 (H,wt=15): 10653 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(255,a,33,a,b,10652,a)]. given #9553 (H,wt=15): 10657 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2263(a,2),10653(a,1,2))]. given #9554 (H,wt=17): 10658 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(2809(a,1),10653(a,1,2)),flip(a)]. given #9555 (H,wt=21): 10659 L(x,T((y \ 1) \ 1,z) \ u,w) = L(x,T(y,z) \ u,w). [para(3456(a,1),10653(a,1,2))]. given #9556 (H,wt=21): 10660 L(x,T(1 / y,z) \ u,w) = L(x,T(y \ 1,z) \ u,w). [para(3514(a,1),10653(a,1,2))]. given #9557 (H,wt=21): 10661 L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). [para(7026(a,1),10653(a,1,2))]. given #9558 (H,wt=23): 10662 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(6519(a,1),10657(a,1,2))]. given #9559 (H,wt=24): 10664 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(y \ 1,z) \ 1,x). [hyper(255,a,10547,a,b,10660,a(flip)),flip(a)]. given #9560 (H,wt=27): 10663 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(9252(a,1),10658(a,1,2,2)),flip(a)]. given #9561 (H,wt=25): 10665 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(6506(a,1),10663(a,1,2,2)),flip(a)]. given #9562 (H,wt=32): 6167 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(1214(a,2),6159(a,1,2))]. given #9563 (H,wt=32): 6210 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(684(a,1),6206(a,1,1,1))]. given #9564 (H,wt=30): 10666 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [hyper(5789,a,6210,a),flip(a)]. given #9565 (H,wt=28): 10668 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [hyper(255,a,5998,a(flip),b,10666,a)]. given #9566 (H,wt=26): 10669 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(5789,a,10668,a)]. given #9567 (H,wt=24): 10670 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [hyper(6146,a,10669,a)]. given #9568 (H,wt=24): 10672 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(255,a,7638,a(flip),b,10670,a(flip)),flip(a)]. given #9569 (H,wt=23): 10674 K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). [para(163(a,1),10672(a,1,1,2)),flip(a)]. given #9570 (H,wt=23): 10675 K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). [hyper(255,a,8907,a(flip),b,10674,a)]. given #9571 (H,wt=24): 10673 K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(255,a,6040,a(flip),b,10672,a(flip)),flip(a)]. given #9572 (H,wt=27): 10676 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ (x / ((z \ 1) * x)),z). [hyper(255,a,3702,a(flip),b,10674,a)]. given #9573 (H,wt=17): 10677 K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). [hyper(255,a,10503,a(flip),b,10676,a(flip))]. given #9574 (H,wt=22): 10679 K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(3436(a,2),10677(a,1,1,2))]. given #9575 (H,wt=21): 10680 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [hyper(255,a,10673,a(flip),b,10679,a(flip)),flip(a)]. given #9576 (H,wt=21): 10682 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [hyper(255,a,10675,a(flip),b,10680,a(flip)),flip(a)]. given #9577 (H,wt=32): 6702 R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [para(6673(a,1),4025(a,1,1,2))]. given #9578 (H,wt=19): 10684 x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). [hyper(255,a,4859,a(flip),b,6702,a(flip)),flip(a)]. given #9579 (H,wt=23): 10686 K(x,1 / x) * (y / L(x,z,u)) = y / (1 / (1 / L(x,z,u))). [para(7062(a,1),10684(a,1,2)),flip(a)]. given #9580 (H,wt=32): 6744 T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). [para(6666(a,1),4594(a,1,1,1,2))]. given #9581 (H,wt=21): 10687 L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). [para(9918(a,1),6744(a,1,1)),flip(a)]. given #9582 (H,wt=21): 10688 L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). [para(7525(a,1),10687(a,1,2,2))]. given #9583 (H,wt=21): 10690 L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). [hyper(255,a,45,a,b,10688,a)]. given #9584 (H,wt=19): 10691 L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). [para(5556(a,1),10690(a,1,2))]. given #9585 (H,wt=21): 10692 L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). [para(8738(a,2),10691(a,1,2))]. given #9586 (H,wt=19): 10693 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(255,a,10559,a(flip),b,10692,a(flip)),flip(a)]. given #9587 (H,wt=32): 6976 R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). [para(6975(a,1),160(a,2,2))]. given #9588 (H,wt=15): 10694 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(255,a,10215,a(flip),b,6976,a)]. given #9589 (H,wt=13): 10696 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(9153(a,1),10694(a,1,3))]. given #9590 (H,wt=19): 10697 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(10696(a,1),379(a,1,1)),flip(a)]. given #9591 (H,wt=20): 10698 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(10697(a,1),9176(a,1,1))]. given #9592 (H,wt=32): 7726 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = (K(R(x,y,z),u) * (w * x)) / (w * x). [para(7725(a,1),426(a,1,2,2)),flip(a)]. given #9593 (H,wt=24): 10700 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = K(R(x,y,z),u). [hyper(255,a,20,a(flip),b,7726,a)]. given #9594 (H,wt=16): 10702 R(K(R(x,y,z),u),w,x) = K(R(x,y,z),u). [para(7725(a,1),10700(a,1,3))]. given #9595 (H,wt=32): 8480 (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). [para(8403(a,2),180(a,1,1,1))]. given #9596 (H,wt=28): 10703 R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). [para(3332(a,1),8480(a,1,2,1)),flip(a)]. given #9597 (H,wt=24): 10704 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3332(a,1),10703(a,1,2)),flip(a)]. given #9598 (H,wt=32): 8661 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ (x \ ((y * L(y \ z,u,w)) * x))). [para(1934(a,1),7806(a,1,2,2,2)),flip(a)]. given #9599 (H,wt=30): 10708 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ T(y * L(y \ z,u,w),x)). [para(37(a,2),8661(a,2,2,2))]. given #9600 (H,wt=24): 10709 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,L(y \ z,u,w)). [hyper(255,a,7999,a(flip),b,10708,a)]. given #9601 (H,wt=21): 10711 K(x,L((y * x) \ (z * x),u,w)) = K(x,L(y \ z,u,w)). [para(507(a,1),10709(a,1,2))]. given #9602 (H,wt=21): 10712 K(x,L((y / x) \ z,u,w)) = K(x,L(y \ (z * x),u,w)). [para(21(a,1),10711(a,1,2,1,1)),flip(a)]. given #9603 (H,wt=21): 10713 K(x,L(y \ (((y / x) * z) * x),u,w)) = K(x,L(z,u,w)). [para(18(a,1),10712(a,1,2,1)),flip(a)]. given #9604 (H,wt=27): 10714 L(K(x,y \ (((y / x) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). [hyper(7021,a,10713,a)]. given #9605 (H,wt=27): 10715 L(K(x,y \ (((x \ y) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). [para(8972(a,1),10714(a,1,1))]. given #9606 (H,wt=19): 10716 L(K(x,y),((z / x) * y) * x,u) = K(x,L(y,z,u)). [para(7250(a,1),10715(a,1,1))]. given #9607 (H,wt=17): 10717 K(L(x,(y / x) * z,u),z) = K(x,L(z,y,u)). [hyper(255,a,7046,a(flip),b,10716,a(flip)),flip(a)]. given #9608 (H,wt=14): 10719 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(255,a,10481,a(flip),b,10717,a(flip))]. given #9609 (H,wt=12): 10720 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(255,a,7075,a(flip),b,10719,a(flip)),flip(a)]. given #9610 (H,wt=12): 10722 K(x,a(K(y,z),u,u \ 1)) = 1. [para(10312(a,1),10720(a,1,2))]. given #9611 (H,wt=12): 10723 T(x,a(K(y,z),u,u \ 1)) = x. [hyper(42,a,10722,a)]. given #9612 (H,wt=12): 10724 T(x,a(K(y,z),u \ 1,u)) = x. [para(3965(a,1),10723(a,1,2))]. given #9613 (H,wt=19): 10725 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(40,a,10724,a)]. given #9614 (H,wt=23): 10726 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(255,a,3952,a,b,10725,a)]. given #9615 (H,wt=27): 10727 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5610(a,2),10726(a,1,1))]. given #9616 (H,wt=29): 10728 K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u). [hyper(255,a,10196,a,b,10727,a(flip)),flip(a)]. given #9617 (H,wt=32): 8811 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). [para(1151(a,1),8809(a,1,2,2,1)),flip(a)]. given #9618 (H,wt=26): 10730 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(255,a,8813,a(flip),b,8811,a)]. given #9619 (H,wt=24): 10731 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [hyper(255,a,6850,a(flip),b,10730,a)]. given #9620 (H,wt=17): 10732 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(255,a,10453,a(flip),b,10731,a(flip))]. given #9621 (H,wt=17): 10734 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(255,a,9905,a,b,10732,a(flip)),flip(a)]. given #9622 (H,wt=17): 10735 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(255,a,9670,a(flip),b,10734,a(flip)),flip(a)]. given #9623 (H,wt=21): 10736 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(37(a,2),10735(a,1,2,1)),flip(a)]. given #9624 (H,wt=20): 10737 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [hyper(255,a,9475,a(flip),b,10736,a(flip)),flip(a)]. given #9625 (H,wt=16): 10738 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [hyper(255,a,9668,a(flip),b,10737,a)]. given #9626 (H,wt=17): 10739 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [hyper(255,a,9414,a(flip),b,10738,a(flip)),flip(a)]. given #9627 (H,wt=32): 8872 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(8548(a,2),8144(a,2,1))]. given #9628 (H,wt=27): 10740 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(9467(a,1),8872(a,1,2))]. given #9629 (H,wt=27): 10741 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(8138(a,1),10740(a,1,2))]. given #9630 (H,wt=25): 10743 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(8548(a,1),10741(a,2,1))]. given #9631 (H,wt=24): 10744 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(255,a,10263,a(flip),b,10743,a(flip)),flip(a)]. given #9632 (H,wt=24): 10745 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(10219,a,10744,a)]. given #9633 (H,wt=22): 10746 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(255,a,10295,a(flip),b,10745,a(flip)),flip(a)]. given #9634 (H,wt=32): 9051 K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). [para(4534(a,1),9049(a,1,1))]. given #9635 (H,wt=32): 9188 a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). [para(7881(a,1),9171(a,1,2))]. given #9636 (H,wt=24): 10748 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(10562(a,1),9188(a,1,1)),flip(a)]. given #9637 (H,wt=18): 10749 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(9837,a,10748,a),flip(a)]. given #9638 (H,wt=18): 10751 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(7606,a,10749,a)]. given #9639 (H,wt=32): 9401 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). [para(6102(a,1),7734(a,1,2,1))]. given #9640 (H,wt=28): 10754 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). [para(8203(a,1),9401(a,1,2))]. given #9641 (H,wt=24): 10755 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(255,a,8370,a(flip),b,10754,a)]. given #9642 (H,wt=32): 9441 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(424(a,1),9108(a,2,2))]. given #9643 (H,wt=28): 10757 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(18(a,1),9441(a,1,2,1))]. given #9644 (H,wt=23): 10759 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(33(a,2),10757(a,1,2))]. given #9645 (H,wt=20): 10760 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(255,a,8655,a(flip),b,10759,a(flip)),flip(a)]. given #9646 (H,wt=17): 10761 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(255,a,7435,a(flip),b,10760,a)]. given #9647 (H,wt=17): 10764 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(19(a,1),10761(a,2,2,2))]. given #9648 (H,wt=29): 10765 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(4621(a,1),10764(a,1,1,2))]. given #9649 (H,wt=24): 10766 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(7483,a,10765,a)]. given #9650 (H,wt=22): 10768 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(255,a,10601,a(flip),b,10766,a(flip))]. given #9651 (H,wt=32): 9624 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(9623(a,2),178(a,1,2,2))]. given #9652 (H,wt=28): 10769 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(127(a,1),9624(a,1,2))]. given #9653 (H,wt=28): 10770 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(9987,a,10769,a)]. given #9654 (H,wt=28): 10771 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(255,a,8750,a(flip),b,10770,a(flip)),flip(a)]. given #9655 (H,wt=24): 10772 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(21(a,1),10771(a,1,2,1)),flip(a)]. given #9656 (H,wt=19): 10773 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(255,a,8990,a(flip),b,10772,a)]. given #9657 (H,wt=23): 10774 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(166(a,1),10773(a,1,2)),flip(a)]. given #9658 (H,wt=32): 9625 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(9623(a,2),430(a,2,2))]. given #9659 (H,wt=26): 10775 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(10773(a,1),9625(a,1,2))]. given #9660 (H,wt=19): 10776 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(255,a,7053,a(flip),b,10775,a(flip))]. given #9661 (H,wt=15): 10777 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(81,a,10776,a(flip),b,127,a(flip))]. given #9662 (H,wt=15): 10779 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(255,a,251,a(flip),b,10777,a(flip))]. given #9663 (H,wt=17): 10781 (x / y) * K(z,z \ y) = x / ((z \ y) * z). [para(19(a,1),10779(a,1,1,2))]. given #9664 (H,wt=17): 10782 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(21(a,1),10779(a,1,1,2))]. given #9665 (H,wt=18): 10784 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(10779(a,1),7984(a,1,2))]. given #9666 (H,wt=19): 10786 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [hyper(255,a,9521,a,b,10782,a(flip)),flip(a)]. given #9667 (H,wt=19): 10787 (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. [para(10786(a,1),73(a,1,1)),flip(a)]. given #9668 (H,wt=23): 10785 K(x \ y,z * (u / ((x \ y) * x))) = K(x \ y,z * (u / y)). [para(10781(a,1),8040(a,1,2,2))]. given #9669 (H,wt=23): 10788 x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. [para(10787(a,2),3403(a,2,1))]. given #9670 (H,wt=32): 9788 K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). [para(6488(a,1),9787(a,1,2))]. given #9671 (H,wt=32): 9982 K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(9926(a,1),8439(a,2,2))]. given #9672 (H,wt=30): 10790 K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(6614(a,1),9982(a,1,2))]. given #9673 (H,wt=30): 10791 K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). [hyper(255,a,9315,a(flip),b,10790,a(flip)),flip(a)]. given #9674 (H,wt=32): 10240 T(L(K(x,y),z,u) * T(w,L(K(x,y),z,u)),K(x,v5)) = T(w,K(x,v5)) * L(K(x,y),z,u). [hyper(255,a,182,a(flip),b,10239,a)]. given #9675 (H,wt=25): 10792 T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). [para(127(a,1),10240(a,1,1))]. given #9676 (H,wt=32): 10544 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10543(a,1),9010(a,2,1))]. given #9677 (H,wt=30): 10793 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10539(a,1),10544(a,1,2,1))]. given #9678 (H,wt=32): 10590 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(9315(a,1),10588(a,1,1))]. given #9679 (H,wt=32): 10651 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3958(a,1),5095(a,1,2))]. given #9680 (H,wt=32): 10747 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). [hyper(7899,a,9051,a),flip(a)]. given #9681 (H,wt=27): 10798 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(255,a,9823,a(flip),b,10747,a)]. given #9682 (H,wt=25): 10800 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(255,a,8254,a(flip),b,10798,a)]. given #9683 (H,wt=32): 10796 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(7539(a,2),10590(a,1,2,2,1))]. given #9684 (H,wt=32): 10797 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(255,a,4930,a(flip),b,10651,a(flip)),flip(a)]. given #9685 (H,wt=27): 10802 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(4047(a,1),10797(a,1,2))]. given #9686 (H,wt=15): 10803 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(5716,a,10802,a),flip(a)]. given #9687 (H,wt=13): 10805 R(x,1 / y,z) = R(x,y \ 1,z). [para(691(a,1),10803(a,1,2)),flip(a)]. given #9688 (H,wt=13): 10806 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(1250(a,1),10803(a,1,2)),flip(a)]. given #9689 (H,wt=22): 10810 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(10806(a,1),122(a,1,1))]. given #9690 (H,wt=24): 10809 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(10805(a,1),3868(a,1,2))]. given #9691 (H,wt=24): 10812 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(3065(a,1),10809(a,1,2,1))]. given #9692 (H,wt=25): 10811 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(10810(a,1),25(a,1))]. given #9693 (H,wt=26): 10813 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4387(a,1),10812(a,1,2,1)),flip(a)]. given #9694 (H,wt=32): 10801 K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(5600(a,1),10796(a,1,2))]. given #9695 (H,wt=33): 4673 (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(4469(a,1),176(a,1,1,2))]. given #9696 (H,wt=31): 10815 (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(1310(a,1),4673(a,1,1))]. given #9697 (H,wt=29): 10816 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1328(a,1),10815(a,1,2))]. given #9698 (H,wt=19): 10817 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(636,a,10816,a),flip(a)]. given #9699 (H,wt=25): 10818 a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(255,a,4787,a,b,10817,a(flip)),flip(a)]. given #9700 (H,wt=23): 10819 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4446(a,1),10818(a,1,1))]. given #9701 (H,wt=21): 10820 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(255,a,10313,a(flip),b,10819,a(flip)),flip(a)]. given #9702 (H,wt=17): 10821 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4788,a,10820,a)]. given #9703 (H,wt=25): 10822 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(10821(a,1),10314(a,2,1))]. given #9704 (H,wt=23): 10823 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(255,a,10256,a(flip),b,10822,a(flip)),flip(a)]. given #9705 (H,wt=33): 5620 R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). [para(5600(a,1),4038(a,1,1))]. given #9706 (H,wt=33): 6278 K(T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y),1 / y) = K((x / y) / (y \ 1),1 / y). [para(2952(a,1),6276(a,2,1))]. given #9707 (H,wt=23): 10824 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). [para(6979(a,1),6278(a,1,1)),flip(a)]. given #9708 (H,wt=23): 10825 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(255,a,5753,a,b,10824,a)]. given #9709 (H,wt=23): 10826 K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(3720,a,10825,a)]. given #9710 (H,wt=27): 10827 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). [para(10826(a,1),5425(a,2,2))]. given #9711 (H,wt=33): 7775 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = ((x * K(y,z)) * R(z,u,w)) / K(y,z). [para(7768(a,1),778(a,1,1,2)),flip(a)]. given #9712 (H,wt=33): 7955 T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ z) = T(T(x,y) / (x / y),(x / (x / y)) \ z). [para(4134(a,1),7951(a,1,2,1)),flip(a)]. given #9713 (H,wt=25): 10829 T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ x) = (x / y) \ T(x,y). [hyper(255,a,564,a(flip),b,7955,a)]. given #9714 (H,wt=23): 10830 T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ x) = (x * y) / x. [hyper(255,a,4131,a(flip),b,10829,a)]. given #9715 (H,wt=17): 10831 (T(x,y) / (x / y)) \ x = x / ((x * y) / x). [para(10830(a,1),199(a,1,2)),flip(a)]. given #9716 (H,wt=25): 10832 (x * y) / (((x * y) * y) / (x * y)) = (T(x * y,y) / x) \ (x * y). [para(20(a,1),10831(a,1,1,2)),flip(a)]. given #9717 (H,wt=19): 10833 (T(x * y,y) / x) \ (x * y) = x * K(y,x * y). [hyper(255,a,6840,a(flip),b,10832,a(flip))]. given #9718 (H,wt=33): 9179 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(9164(a,2),752(a,1,2,2,2))]. given #9719 (H,wt=33): 9286 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). [para(6591(a,2),8656(a,2,2,2)),flip(a)]. given #9720 (H,wt=28): 10834 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(255,a,10228,a(flip),b,9286,a)]. given #9721 (H,wt=26): 10836 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(255,a,6580,a(flip),b,10834,a)]. given #9722 (H,wt=24): 10837 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(6591(a,1),10836(a,1,2,2))]. given #9723 (H,wt=33): 9392 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(9235(a,1),9389(a,1,2,1,2,2)),flip(a)]. given #9724 (H,wt=23): 10838 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(255,a,9389,a(flip),b,9392,a)]. given #9725 (H,wt=25): 10839 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(8486(a,1),10838(a,1,2,1,2,1))]. given #9726 (H,wt=33): 9777 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(9776(a,1),7252(a,1,1))]. given #9727 (H,wt=28): 10840 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(7309,a,9777,a),flip(a)]. given #9728 (H,wt=24): 10841 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(9352,a,10840,a)]. given #9729 (H,wt=24): 10842 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(7354,a,10841,a)]. given #9730 (H,wt=21): 10843 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(383(a,1),10842(a,1,2,1,2))]. given #9731 (H,wt=19): 10844 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(255,a,9934,a(flip),b,10843,a(flip))]. given #9732 (H,wt=19): 10845 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(7353,a,10844,a)]. given #9733 (H,wt=22): 10849 K(x,(y * z) \ (u * x)) != w | K(x,(y * (z / x)) \ u) = w. [para(10844(a,1),7353(a,1))]. given #9734 (H,wt=24): 10846 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(255,a,7251,a,b,10844,a(flip)),flip(a)]. given #9735 (H,wt=25): 10847 K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5265(a,1),10844(a,1,2,1)),flip(a)]. given #9736 (H,wt=25): 10848 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(10844(a,1),7255(a,1,2,2))]. given #9737 (H,wt=19): 10852 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(5694,a,10848,a),flip(a)]. given #9738 (H,wt=19): 10853 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(7272,a,10852,a)]. given #9739 (H,wt=22): 10854 K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. [para(10852(a,1),7272(a,1))]. given #9740 (H,wt=27): 10851 K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5699(a,2),10847(a,1,2,1,1))]. given #9741 (H,wt=27): 10855 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [hyper(255,a,5816,a,b,10851,a(flip)),flip(a)]. given #9742 (H,wt=28): 10850 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(10844(a,1),7256(a,1,1))]. given #9743 (H,wt=23): 10856 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(255,a,10846,a(flip),b,10850,a(flip))]. given #9744 (H,wt=31): 10857 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(255,a,8935,a(flip),b,10856,a(flip)),flip(a)]. given #9745 (H,wt=27): 10858 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(255,a,7942,a,b,10857,a(flip))]. given #9746 (H,wt=25): 10859 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(255,a,9482,a(flip),b,10858,a)]. given #9747 (H,wt=25): 10860 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(21(a,1),10859(a,1,2,1)),flip(a)]. given #9748 (H,wt=21): 10861 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(255,a,7649,a(flip),b,10860,a(flip))]. given #9749 (H,wt=19): 10862 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(255,a,6580,a(flip),b,10861,a)]. given #9750 (H,wt=15): 10863 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(5502,a,10862,a),flip(a)]. given #9751 (H,wt=15): 10864 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(255,a,7250,a(flip),b,10862,a(flip))]. given #9752 (H,wt=15): 10865 K(x,x \ (y * (x * z))) = K(x,y * z). [para(18(a,1),10863(a,2,2,2))]. given #9753 (H,wt=15): 10869 K(x,x \ (y * (z * x))) = K(x,y * z). [hyper(255,a,8785,a,b,10865,a(flip)),flip(a)]. given #9754 (H,wt=16): 10868 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(255,a,8660,a,b,10864,a(flip)),flip(a)]. given #9755 (H,wt=14): 10872 L(K(x,x \ y),y,z) = K(x,x \ y). [para(18(a,1),10868(a,1,3))]. given #9756 (H,wt=10): 10874 a(x,y,K(z,z \ y)) = 1. [hyper(39,a,10872,a)]. given #9757 (H,wt=10): 10876 a(x,y,K(z \ y,z)) = 1. [para(5389(a,1),10874(a,1,3))]. given #9758 (H,wt=14): 10877 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(38,a,10876,a)]. given #9759 (H,wt=15): 10875 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(255,a,7803,a(flip),b,10872,a(flip)),flip(a)]. given #9760 (H,wt=15): 10878 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(8699,a,10877,a)]. given #9761 (H,wt=15): 10879 K((x * y) \ z,y) = K(y \ (x \ z),y). [hyper(7304,a,10877,a)]. given #9762 (H,wt=15): 10882 K(x,x \ (y \ (x * z))) = K(x,y \ z). [para(18(a,1),10875(a,1,2,2)),flip(a)]. given #9763 (H,wt=15): 10883 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(19(a,1),10878(a,1,1,2,2))]. given #9764 (H,wt=15): 10885 K((x * y) \ z,x) = K(x \ (y \ z),x). [hyper(255,a,6970,a(flip),b,10879,a(flip)),flip(a)]. given #9765 (H,wt=15): 10886 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(255,a,7761,a(flip),b,10883,a(flip))]. given #9766 (H,wt=17): 10870 K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). [para(10869(a,1),8190(a,1,2)),flip(a)]. given #9767 (H,wt=17): 10884 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(10878(a,1),8747(a,1,2))]. given #9768 (H,wt=10): 10891 R(x,y,K(z \ y,z)) = x. [hyper(757,a,10884,a)]. given #9769 (H,wt=10): 10894 R(x,y * z,K(z,y)) = x. [para(18(a,1),10891(a,1,3,1))]. given #9770 (H,wt=11): 10895 R(x,y,T(z,y)) = R(x,y,z). [hyper(7345,a,10894,a)]. given #9771 (H,wt=13): 10893 R(x,y / z,z) = R(x,z \ y,z). [hyper(255,a,10575,a(flip),b,10891,a(flip))]. given #9772 (H,wt=15): 10896 (x * (y * z)) * K(z,y) = x * (z * y). [para(10894(a,1),464(a,1,1)),flip(a)]. given #9773 (H,wt=10): 10911 K(x,L(y,x,z)) = K(x,y). [hyper(7054,a,10896,a)]. given #9774 (H,wt=10): 10912 K(L(x,y,z),y) = K(x,y). [hyper(255,a,9096,a,b,10911,a(flip)),flip(a)]. given #9775 (H,wt=12): 10914 L(K(x,y),z,y * x) = K(x,y). [hyper(255,a,10774,a(flip),b,10911,a(flip)),flip(a)]. given #9776 (H,wt=12): 10915 T(x,L(y,x,z)) = x * K(x,y). [para(10911(a,1),5252(a,2,2))]. given #9777 (H,wt=10): 10924 T(x,L(y,x,z)) = T(x,y). [hyper(255,a,5252,a,b,10915,a)]. given #9778 (H,wt=15): 10903 R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). [para(7539(a,2),10895(a,1,3))]. given #9779 (H,wt=15): 10927 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(255,a,8065,a(flip),b,10924,a(flip)),flip(a)]. given #9780 (H,wt=15): 10928 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(10924(a,1),127(a,1,2))]. given #9781 (H,wt=18): 10931 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(10924(a,1),7351(a,1,1,2)),flip(a)]. given #9782 (H,wt=11): 10936 L(x,T(y,x),z) = L(x,y,z). [hyper(255,a,33,a,b,10931,a),flip(a)]. given #9783 (H,wt=13): 10938 L(x,y / x,z) = L(x,x \ y,z). [para(129(a,1),10936(a,1,2)),flip(a)]. given #9784 (H,wt=18): 10941 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [hyper(255,a,508,a(flip),b,10938,a(flip))]. given #9785 (H,wt=18): 10942 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(10938(a,1),7071(a,1,1))]. given #9786 (H,wt=19): 10866 (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). [para(10863(a,1),6670(a,1,1,2))]. given #9787 (H,wt=15): 10943 K(x \ (y * z),x) = K(y * (x \ z),x). [hyper(6693,a,10866,a),flip(a)]. given #9788 (H,wt=15): 10944 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(19(a,1),10943(a,1,1,2)),flip(a)]. given #9789 (H,wt=17): 10945 K(K(x,y) * (z \ T(y,x)),z) = K(z \ y,z). [para(5207(a,1),10943(a,1,1,2)),flip(a)]. given #9790 (H,wt=19): 10881 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(255,a,8969,a(flip),b,10875,a(flip))]. given #9791 (H,wt=19): 10890 K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). [para(8072(a,1),10870(a,1,2)),flip(a)]. given #9792 (H,wt=19): 10923 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(10914(a,1),10151(a,1,1))]. given #9793 (H,wt=20): 10908 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(255,a,6373,a(flip),b,10893,a(flip))]. given #9794 (H,wt=20): 10917 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(10911(a,1),9323(a,1,1))]. given #9795 (H,wt=16): 10951 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(255,a,9321,a(flip),b,10917,a(flip))]. given #9796 (H,wt=21): 10953 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(255,a,10128,a(flip),b,10951,a(flip)),flip(a)]. given #9797 (H,wt=22): 10949 (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,K(x,y),y * x). [para(10923(a,2),267(a,1,2))]. given #9798 (H,wt=17): 10956 L(x,K(y,z),z * y) = L(x,z * y,K(y,z)). [hyper(5355,a,10949,a),flip(a)]. given #9799 (H,wt=18): 10958 L(L(x,y,z),K(y,z),z * y) = L(x,T(y,z),z). [hyper(255,a,7264,a(flip),b,10956,a)]. given #9800 (H,wt=20): 10957 L(x,K(y,z),z * y) != u | L(x,z * y,K(y,z)) = u. [para(10949(a,1),5355(a,1))]. given #9801 (H,wt=21): 10959 L(L(x,y,z),K(y,z),z * y) != u | L(x,T(y,z),z) = u. [para(10956(a,2),7265(a,1))]. given #9802 (H,wt=24): 10904 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(10895(a,1),10248(a,2,2))]. given #9803 (H,wt=22): 10960 a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(255,a,10246,a(flip),b,10904,a)]. given #9804 (H,wt=17): 10961 a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). [hyper(7303,a,10960,a)]. given #9805 (H,wt=17): 10962 a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). [para(45(a,2),10961(a,1,3))]. given #9806 (H,wt=24): 10907 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [hyper(255,a,8711,a(flip),b,10893,a(flip))]. given #9807 (H,wt=25): 10946 K((T(x,y) / z) \ x,T(x,y) / z) = K(K(y,x) * z,T(x,y) / z). [para(73(a,1),10945(a,1,1,2)),flip(a)]. given #9808 (H,wt=25): 10954 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(905(a,1),10951(a,1,1)),flip(a)]. given #9809 (H,wt=25): 10964 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(255,a,7661,a(flip),b,10954,a)]. given #9810 (H,wt=21): 10965 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(255,a,615,a(flip),b,10964,a)]. given #9811 (H,wt=21): 10966 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(9354,a,10965,a)]. given #9812 (H,wt=21): 10968 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(10326,a,10966,a)]. given #9813 (H,wt=27): 10948 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(10881(a,1),7046(a,1,1)),flip(a)]. given #9814 (H,wt=25): 10969 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = K(L(x,y,z),(u * w) \ v5). [hyper(255,a,7046,a(flip),b,10948,a)]. given #9815 (H,wt=27): 10963 (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). [hyper(255,a,2752,a(flip),b,10962,a(flip)),flip(a)]. given #9816 (H,wt=25): 10970 K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). [hyper(255,a,9145,a(flip),b,10963,a(flip)),flip(a)]. given #9817 (H,wt=28): 10921 K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [para(448(a,1),10912(a,1,1))]. given #9818 (H,wt=28): 10930 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(448(a,1),10924(a,1,2))]. given #9819 (H,wt=28): 10971 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [hyper(10350,a,10921,a)]. given #9820 (H,wt=20): 10973 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(255,a,10953,a(flip),b,10971,a(flip))]. given #9821 (H,wt=28): 10972 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(255,a,45,a,b,10930,a(flip)),flip(a)]. given #9822 (H,wt=28): 10975 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(9728(a,1),10972(a,1,1))]. given #9823 (H,wt=20): 10976 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(10927(a,1),10975(a,1,1)),flip(a)]. given #9824 (H,wt=29): 10977 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10976(a,1),5546(a,1,2,1))]. given #9825 (H,wt=20): 10979 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(255,a,5673,a(flip),b,10977,a(flip))]. given #9826 (H,wt=30): 10935 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(10928(a,1),1426(a,1,2,2))]. given #9827 (H,wt=28): 10981 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(127(a,1),10935(a,1,1,1))]. given #9828 (H,wt=19): 10982 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1841,a,10981,a),flip(a)]. given #9829 (H,wt=17): 10983 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(127(a,1),10982(a,1,2))]. given #9830 (H,wt=14): 10984 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(8674,a,10983,a),flip(a)]. given #9831 (H,wt=22): 10986 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(10984(a,1),7046(a,1,1))]. given #9832 (H,wt=20): 10987 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(255,a,7046,a(flip),b,10986,a(flip))]. given #9833 (H,wt=17): 10988 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(10987(a,1),10467(a,1,1))]. given #9834 (H,wt=14): 10989 L(K(x,x * y),y,z) = K(x,x * y). [para(9107(a,1),10988(a,1,1))]. given #9835 (H,wt=15): 10992 K(x,x * ((y * z) \ y)) = K(x,z \ x). [hyper(255,a,10510,a(flip),b,10989,a(flip))]. given #9836 (H,wt=15): 10993 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(255,a,10457,a(flip),b,10989,a(flip)),flip(a)]. given #9837 (H,wt=15): 10994 K(x,y \ ((y * z) * x)) = K(x,x * z). [hyper(255,a,10456,a(flip),b,10989,a(flip)),flip(a)]. given #9838 (H,wt=15): 11001 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(255,a,7701,a(flip),b,10993,a(flip)),flip(a)]. given #9839 (H,wt=15): 11005 K(x,y \ ((y * z) * x)) = K(x,z * x). [hyper(255,a,5842,a,b,10994,a)]. given #9840 (H,wt=14): 11006 L(K(x,y * x),y,z) = K(x,y * x). [hyper(255,a,10458,a,b,11005,a(flip)),flip(a)]. given #9841 (H,wt=10): 11008 a(x,y,K(z,y * z)) = 1. [hyper(39,a,11006,a)]. given #9842 (H,wt=16): 10995 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(10989(a,2),5394(a,1,2))]. given #9843 (H,wt=14): 11009 L(K(x * y,x),y,z) = K(x * y,x). [hyper(6485,a,10995,a)]. given #9844 (H,wt=14): 11011 L(K(x * y,y),x,z) = K(y * x,y). [para(5894(a,2),11009(a,1,1))]. given #9845 (H,wt=14): 11012 L(K(x * y,y),x,z) = K(x * y,y). [hyper(255,a,5894,a,b,11011,a)]. given #9846 (H,wt=10): 11013 a(x,y,K(y * z,z)) = 1. [hyper(39,a,11012,a)]. given #9847 (H,wt=15): 11010 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(255,a,10392,a(flip),b,11009,a(flip)),flip(a)]. given #9848 (H,wt=15): 11014 K(x \ (y * (x * z)),y) = K(z * y,y). [hyper(255,a,10398,a(flip),b,11012,a(flip)),flip(a)]. given #9849 (H,wt=15): 11016 K((x / y) \ z,y) = K(y * (x \ z),y). [hyper(8695,a,11010,a)]. given #9850 (H,wt=15): 11017 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(8685,a,11010,a)]. given #9851 (H,wt=15): 11018 K(x * ((y * x) \ z),x) = K(y \ z,x). [hyper(8684,a,11010,a),flip(a)]. given #9852 (H,wt=15): 11019 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(8039,a,11010,a)]. given #9853 (H,wt=15): 11021 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(255,a,7846,a(flip),b,11010,a(flip))]. given #9854 (H,wt=17): 10991 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(7521,a,10989,a)]. given #9855 (H,wt=18): 11023 K(x * ((y * x) \ z),x) != u | K(y \ z,x) = u. [para(11010(a,1),8684(a,1))]. given #9856 (H,wt=19): 10999 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(10849,a,10993,a)]. given #9857 (H,wt=19): 11015 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(10854,a,11010,a)]. given #9858 (H,wt=19): 11026 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(10991(a,1),5252(a,2,2))]. given #9859 (H,wt=17): 11028 T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). [hyper(255,a,5252,a,b,11026,a)]. given #9860 (H,wt=15): 11029 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(255,a,10739,a(flip),b,11028,a(flip)),flip(a)]. given #9861 (H,wt=15): 11030 T(x,y \ (z * x)) = T(x,x * (y \ z)). [hyper(255,a,8085,a,b,11029,a(flip)),flip(a)]. given #9862 (H,wt=21): 11002 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1423(a,1),10993(a,1,2))]. given #9863 (H,wt=22): 11024 K(x,y \ z) * K(x * (y \ z),x) = a(x,(z \ y) \ 1,x). [para(11010(a,1),9157(a,1,2))]. given #9864 (H,wt=18): 11032 a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. [para(11024(a,1),9180(a,1))]. given #9865 (H,wt=22): 11031 T(x,x * (y \ z)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(11030(a,1),7109(a,1,1))]. given #9866 (H,wt=15): 11033 L(x,(y \ z) \ 1,x) = L(x,z \ y,x). [hyper(255,a,5707,a(flip),b,11031,a(flip))]. given #9867 (H,wt=23): 11003 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(10993(a,1),7046(a,1,1))]. given #9868 (H,wt=21): 11034 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(255,a,7046,a(flip),b,11003,a(flip))]. given #9869 (H,wt=21): 11035 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(9923,a,11034,a)]. given #9870 (H,wt=24): 11036 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(255,a,10837,a(flip),b,11035,a(flip))]. given #9871 (H,wt=28): 11022 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(11010(a,1),5991(a,1,1,1,2))]. given #9872 (H,wt=21): 11037 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(255,a,5991,a(flip),b,11022,a(flip))]. given #9873 (H,wt=21): 11038 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(255,a,7041,a,b,11037,a(flip)),flip(a)]. given #9874 (H,wt=31): 10867 T(1 / (1 / x),y) \ T(1 / (K(x,z * (x \ u)) / x),y) = K(x \ (z * u),T(x,y)). [para(10863(a,1),10581(a,1,2,1,2,1))]. given #9875 (H,wt=19): 11039 K(x \ (y * z),T(x,u)) = K(y * (x \ z),T(x,u)). [hyper(255,a,10581,a(flip),b,10867,a(flip))]. given #9876 (H,wt=17): 11040 K(x * (y \ 1),T(y,z)) = K(y \ x,T(y,z)). [para(17(a,1),11039(a,1,1,2)),flip(a)]. given #9877 (H,wt=31): 10887 K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [para(1420(a,1),10885(a,1,1,1)),flip(a)]. given #9878 (H,wt=28): 11042 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(255,a,10973,a(flip),b,10887,a(flip)),flip(a)]. given #9879 (H,wt=24): 11043 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(255,a,10968,a(flip),b,11042,a(flip)),flip(a)]. given #9880 (H,wt=24): 11044 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(255,a,11017,a(flip),b,11043,a(flip)),flip(a)]. given #9881 (H,wt=24): 11045 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [hyper(255,a,10126,a(flip),b,11044,a)]. given #9882 (H,wt=24): 11046 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [hyper(8070,a,11045,a)]. given #9883 (H,wt=31): 10888 K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(4966(a,1),10886(a,1,1,2,1))]. given #9884 (H,wt=28): 11047 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(255,a,10973,a(flip),b,10888,a(flip)),flip(a)]. given #9885 (H,wt=24): 11048 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(255,a,10968,a(flip),b,11047,a(flip)),flip(a)]. given #9886 (H,wt=22): 11049 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(255,a,6917,a(flip),b,11048,a(flip)),flip(a)]. given #9887 (H,wt=22): 11050 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(8070,a,11049,a)]. given #9888 (H,wt=22): 11051 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(255,a,9924,a(flip),b,11050,a)]. given #9889 (H,wt=20): 11052 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(59(a,1),11051(a,2,1))]. given #9890 (H,wt=21): 11053 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(255,a,11046,a(flip),b,11052,a(flip)),flip(a)]. given #9891 (H,wt=21): 11055 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [hyper(255,a,10126,a,b,11053,a(flip)),flip(a)]. given #9892 (H,wt=21): 11056 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [hyper(255,a,9922,a,b,11053,a(flip)),flip(a)]. given #9893 (H,wt=21): 11058 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(255,a,9924,a,b,11056,a(flip)),flip(a)]. given #9894 (H,wt=22): 11057 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [hyper(255,a,9097,a(flip),b,11053,a(flip))]. given #9895 (H,wt=31): 10980 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),x \ u). [para(10979(a,1),9158(a,1,2)),flip(a)]. given #9896 (H,wt=25): 11059 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = a(x,x \ u,L(x,y,z)). [hyper(255,a,10970,a(flip),b,10980,a)]. given #9897 (H,wt=32): 11027 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(11015(a,1),5992(a,1,1,1,2))]. given #9898 (H,wt=25): 11061 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(6797,a,11027,a),flip(a)]. given #9899 (H,wt=28): 11062 K(L(x,y,z),(u * (x \ w)) \ v5) != v6 | K(L(x,y,z),x * ((u * w) \ v5)) = v6. [para(11027(a,1),6797(a,1))]. given #9900 (H,wt=33): 9879 (x \ y) * K((x \ 1) \ (x \ y),(x * (x \ y)) \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(9435(a,1),6772(a,1,2))]. given #9901 (H,wt=29): 11063 (x \ y) * K((x \ 1) \ (x \ y),y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(19(a,1),9879(a,1,2,2,1))]. given #9902 (H,wt=21): 11064 x \ T(y,((x \ 1) \ (x \ y)) \ z) = x \ T(y,y \ z). [hyper(6984,a,11063,a),flip(a)]. given #9903 (H,wt=15): 11065 K(x,y \ T(z,z \ x)) = K(x,y \ z). [para(11064(a,1),9022(a,1,2))]. given #9904 (H,wt=15): 11066 K(x,y \ ((z \ x) \ x)) = K(x,y \ z). [para(128(a,1),11065(a,1,2,2))]. given #9905 (H,wt=32): 11067 K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [hyper(255,a,6605,a(flip),b,11066,a(flip))]. given #9906 (H,wt=33): 9927 K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). [hyper(255,a,8115,a,b,8318,a),flip(a)]. given #9907 (H,wt=33): 10193 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(4505(a,1),10192(a,1,1,2))]. given #9908 (H,wt=27): 11068 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(4505(a,1),10193(a,1,2))]. given #9909 (H,wt=24): 11069 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(255,a,5986,a(flip),b,11068,a)]. given #9910 (H,wt=21): 11070 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(7432(a,1),11069(a,1,1,1,1))]. given #9911 (H,wt=19): 11071 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(6457(a,1),11070(a,1,1))]. given #9912 (H,wt=19): 11073 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(9612(a,1),11071(a,1,1))]. given #9913 (H,wt=33): 10729 K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u). [hyper(255,a,7570,a,b,10728,a(flip)),flip(a)]. given #9914 (H,wt=16): 11074 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(23,a,10801,a,b,10729,a),flip(a)]. given #9915 (H,wt=16): 11075 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2815(a,1),11074(a,1,2,2))]. given #9916 (H,wt=16): 11076 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(255,a,8154,a,b,11075,a)]. given #9917 (H,wt=17): 11078 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(472(a,1),11076(a,1,2,2))]. given #9918 (H,wt=17): 11079 K(x,K(y,z / (1 / u))) = K(x,K(y,z * u)). [para(73(a,1),11078(a,1,2,2,2)),flip(a)]. given #9919 (H,wt=17): 11080 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(5798(a,1),11078(a,1,2)),flip(a)]. given #9920 (H,wt=17): 11081 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(5801(a,2),11078(a,1,2))]. given #9921 (H,wt=17): 11082 K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). [hyper(8561,a,11079,a)]. given #9922 (H,wt=17): 11083 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(8561,a,11080,a)]. given #9923 (H,wt=17): 11084 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(8183,a,11080,a)]. given #9924 (H,wt=17): 11086 K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). [para(7995(a,1),11081(a,1,2)),flip(a)]. given #9925 (H,wt=17): 11087 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(21(a,1),11083(a,2,2,2))]. given #9926 (H,wt=17): 11089 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(8136,a,11087,a)]. given #9927 (H,wt=17): 11090 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(255,a,8463,a(flip),b,11089,a(flip)),flip(a)]. given #9928 (H,wt=16): 11093 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(11090(a,1),10150(a,1,1))]. given #9929 (H,wt=16): 11094 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(8154(a,1),11093(a,1,1))]. given #9930 (H,wt=16): 11096 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(255,a,9314,a(flip),b,11094,a(flip)),flip(a)]. given #9931 (H,wt=16): 11097 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(70(a,1),11096(a,1,2,2,2))]. given #9932 (H,wt=17): 11092 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(11090(a,1),9851(a,1,1))]. given #9933 (H,wt=17): 11098 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(8180,a,11092,a)]. given #9934 (H,wt=17): 11099 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(70(a,1),11092(a,1,2)),flip(a)]. given #9935 (H,wt=17): 11101 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(8099(a,1),11098(a,1,1))]. given #9936 (H,wt=17): 11102 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(8138(a,1),11099(a,2,1))]. given #9937 (H,wt=17): 11103 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(9853,a,11101,a)]. given #9938 (H,wt=17): 11104 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [para(11102(a,1),73(a,1,1))]. given #9939 (H,wt=14): 11105 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(255,a,5345,a,b,11104,a(flip)),flip(a)]. given #9940 (H,wt=12): 11106 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(39,a,11105,a)]. given #9941 (H,wt=12): 11107 a(K(x * y,K(z,u)),x,y) = 1. [para(18(a,1),11106(a,1,3))]. given #9942 (H,wt=12): 11108 a(K(K(x,y),z),u,u \ z) = 1. [para(6092(a,2),11106(a,1,1))]. given #9943 (H,wt=12): 11109 a(K(x,K(y,z * u)),z,u) = 1. [para(8099(a,1),11107(a,1,1))]. given #9944 (H,wt=18): 11077 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(11075(a,1),8140(a,1,2)),flip(a)]. given #9945 (H,wt=16): 11111 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(255,a,8105,a(flip),b,11077,a)]. given #9946 (H,wt=19): 11085 K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). [para(7523(a,1),11080(a,1,2)),flip(a)]. given #9947 (H,wt=19): 11112 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(255,a,9631,a(flip),b,11111,a(flip)),flip(a)]. given #9948 (H,wt=17): 11114 T(x,K(y,z * (x \ 1))) = T(x,K(y,x \ z)). [hyper(7565,a,11112,a)]. given #9949 (H,wt=15): 11117 T(x,K(y,z * (x \ 1))) = T(x,K(y,z)). [hyper(255,a,8387,a(flip),b,11114,a)]. given #9950 (H,wt=17): 11118 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [para(5798(a,1),11117(a,1,2))]. given #9951 (H,wt=19): 11113 K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). [para(7542(a,1),11085(a,1,2))]. given #9952 (H,wt=19): 11116 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(8242(a,1),11112(a,1,2)),flip(a)]. given #9953 (H,wt=17): 11120 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(8263(a,1),11116(a,1,2)),flip(a)]. given #9954 (H,wt=21): 11121 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [hyper(8569,a,11120,a),flip(a)]. given #9955 (H,wt=19): 11122 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [hyper(8564,a,11121,a),flip(a)]. given #9956 (H,wt=17): 11123 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [hyper(8536,a,11122,a)]. given #9957 (H,wt=19): 11124 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [hyper(255,a,5252,a(flip),b,11123,a)]. given #9958 (H,wt=17): 11125 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(5323,a,11124,a)]. given #9959 (H,wt=22): 11110 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(255,a,8178,a,b,11108,a)]. given #9960 (H,wt=23): 11088 (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). [para(11086(a,1),8150(a,1,2))]. given #9961 (H,wt=19): 11127 T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. [hyper(255,a,8126,a(flip),b,11088,a(flip))]. given #9962 (H,wt=19): 11128 T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. [para(7539(a,2),11127(a,2,1))]. given #9963 (H,wt=17): 11129 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [para(8543(a,1),11128(a,2,1))]. given #9964 (H,wt=23): 11130 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(11129(a,2),6718(a,1,1))]. given #9965 (H,wt=27): 11126 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(11097(a,1),11110(a,2,2))]. given #9966 (H,wt=27): 11131 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(8138(a,2),11126(a,2,2))]. given #9967 (H,wt=27): 11132 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(6092(a,1),11131(a,1,1))]. given #9968 (H,wt=33): 10828 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) / K(y,z). [para(6807(a,1),7775(a,2,1))]. given #9969 (H,wt=33): 11133 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [hyper(255,a,6673,a(flip),b,10828,a)]. given #9970 (H,wt=33): 11134 ((x * (K(y,z) * R(z,u,w))) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(6807(a,1),11133(a,1,1,1))]. given #9971 (H,wt=33): 11135 R((x * (K(y,z) * z)) / (x * K(y,z)),u,w) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(2143(a,2),11134(a,1,1))]. given #9972 (H,wt=33): 11136 R((x * (y * K(z,y))) / (x * K(z,y)),u,w) * x = (x * (K(z,y) * R(y,u,w))) * K(y,z). [para(3141(a,1),11135(a,1,1,1,1,2))]. given #9973 (H,wt=25): 11137 R((x * y) / x,z,u) * x = (x * (K(w,y) * R(y,z,u))) * K(y,w). [para(9515(a,1),11136(a,1,1,1))]. given #9974 (H,wt=21): 11138 (x * (K(y,z) * R(z,u,w))) * K(z,y) = x * R(z,u,w). [hyper(807,a,11137,a),flip(a)]. given #9975 (H,wt=21): 11140 (x * (R(y,z,u) * K(w,y))) * K(y,w) = x * R(y,z,u). [para(3146(a,2),11138(a,1,1,2))]. given #9976 (H,wt=13): 11141 L(K(x,y),R(x,z,u),w) = K(x,y). [hyper(7085,a,11140,a)]. given #9977 (H,wt=19): 11142 K(x,(y \ 1) * R(x,z,u)) = K(x,y \ R(x,z,u)). [hyper(255,a,7018,a(flip),b,11141,a(flip)),flip(a)]. given #9978 (H,wt=19): 11143 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [hyper(255,a,8053,a,b,11142,a(flip)),flip(a)]. given #9979 (H,wt=34): 4331 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(4064(a,1),230(a,1))]. given #9980 (H,wt=34): 4693 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). [para(3435(a,2),4690(a,1,2,1)),flip(a)]. given #9981 (H,wt=32): 11144 K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). [hyper(255,a,6265,a(flip),b,4693,a(flip))]. given #9982 (H,wt=26): 11145 K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). [hyper(255,a,6005,a(flip),b,11144,a(flip))]. given #9983 (H,wt=20): 11148 K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). [hyper(255,a,6005,a(flip),b,11145,a(flip))]. given #9984 (H,wt=24): 11147 T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). [hyper(255,a,8406,a(flip),b,11145,a(flip)),flip(a)]. given #9985 (H,wt=24): 11150 T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). [para(10183(a,1),11147(a,1,1))]. given #9986 (H,wt=24): 11151 K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). [hyper(7895,a,11150,a)]. given #9987 (H,wt=20): 11152 K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). [hyper(9329,a,11151,a),flip(a)]. given #9988 (H,wt=34): 4987 (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(4955(a,2),29(a,2,2,1)),flip(a)]. given #9989 (H,wt=34): 5100 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). [hyper(636,a,4993,a),flip(a)]. given #9990 (H,wt=34): 6199 ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(6198(a,1),113(a,1,2,2,1))]. given #9991 (H,wt=34): 6866 (x \ T(x * y,x)) \ (y * K(z,K(x * y,x))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(6792(a,2),5366(a,1,1))]. given #9992 (H,wt=34): 6891 x \ (R(x,y,x) * T(R(x,y,x) \ (x * K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(6681(a,1),1553(a,2,2,1))]. given #9993 (H,wt=34): 7253 L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(2374(a,2),7248(a,2,2,1,2))]. given #9994 (H,wt=32): 11158 L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(9284(a,1),7253(a,1,1))]. given #9995 (H,wt=27): 11159 K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). [hyper(7305,a,11158,a),flip(a)]. given #9996 (H,wt=21): 11160 K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2374(a,1),11159(a,1,2,1,2))]. given #9997 (H,wt=21): 11161 K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). [hyper(255,a,10845,a(flip),b,11160,a(flip)),flip(a)]. given #9998 (H,wt=21): 11162 K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). [hyper(255,a,7268,a(flip),b,11161,a(flip))]. given #9999 (H,wt=34): 8662 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(4418(a,1),7807(a,2,2,2,2))]. given #10000 (H,wt=34): 10399 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x * y,x)). [para(10394(a,1),7438(a,2,1))]. given #10001 (H,wt=34): 10794 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(5560(a,1),10793(a,1,2))]. given #10002 (H,wt=34): 11154 (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(3936(a,1),4987(a,1,1,2))]. given #10003 (H,wt=34): 11155 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,z,K(y,y \ 1) * u). [para(4955(a,2),5100(a,1,1,1,2))]. given #10004 (H,wt=34): 11156 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(8138(a,1),6866(a,1,2,2))]. given #10005 (H,wt=34): 11157 x \ (R(x,y,x) * T(x * (R(x,y,x) \ K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(1307(a,1),6891(a,1,2,2,1))]. given #10006 (H,wt=29): 11169 x \ (R(x,y,x) * T(x * (T(x,y) \ 1),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(6389(a,1),11157(a,1,2,2,1,2))]. given #10007 (H,wt=25): 11170 x \ (R(x,y,x) * T(K(y,x),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(5184(a,2),11169(a,1,2,2,1))]. given #10008 (H,wt=25): 11171 x \ (R(x,y,x) * K(y,T(x,z))) = (x \ R(x,y,x)) * T(K(y,x),z). [para(7539(a,2),11170(a,1,2,2))]. given #10009 (H,wt=25): 11172 (x \ R(x,y,x)) * T(K(y,x),z) = R(x,y,x) * (x \ K(y,T(x,z))). [hyper(1316,a,11171,a),flip(a)]. given #10010 (H,wt=23): 11173 (x \ R(x,y,x)) * T(K(y,x),z) = T(x,T(y,z)) \ R(x,y,x). [hyper(255,a,7785,a(flip),b,11172,a)]. given #10011 (H,wt=22): 11174 K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). [hyper(255,a,8942,a(flip),b,11173,a(flip)),flip(a)]. given #10012 (H,wt=18): 11175 T(x,T(y,z)) \ R(x,y,x) = K(y * x,T(x,z)). [hyper(8691,a,11174,a),flip(a)]. given #10013 (H,wt=18): 11176 K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). [hyper(255,a,9165,a(flip),b,11175,a(flip)),flip(a)]. given #10014 (H,wt=20): 11178 K(x * y,T(y,z)) \ (K(x,T(y,z)) * y) = L(y,x,y). [para(11176(a,1),9370(a,1,1))]. given #10015 (H,wt=20): 11179 K(x * y,T(y,z)) \ (y * K(x,T(y,z))) = L(y,x,y). [para(7613(a,1),11178(a,1,2))]. given #10016 (H,wt=20): 11180 K(x,T(y * x,z)) * (x * K(y,T(x,z))) = L(x,y,x). [hyper(7600,a,11179,a)]. given #10017 (H,wt=18): 11181 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,y,x). [hyper(5634,a,11180,a)]. given #10018 (H,wt=15): 11182 L(x,T(y \ 1,z) \ 1,x) = L(x,y,x). [hyper(255,a,10664,a(flip),b,11181,a(flip)),flip(a)]. given #10019 (H,wt=15): 11184 L(x,T(y,z) \ 1,x) = L(x,y \ 1,x). [hyper(255,a,10659,a(flip),b,11182,a(flip)),flip(a)]. given #10020 (H,wt=17): 11185 L(x,(y / z) \ 1,x) = L(x,(z \ y) \ 1,x). [para(129(a,1),11184(a,1,2,1)),flip(a)]. given #10021 (H,wt=15): 11186 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [hyper(255,a,11033,a(flip),b,11185,a)]. given #10022 (H,wt=19): 11187 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(19(a,2),11186(a,1,2))]. given #10023 (H,wt=22): 11177 K(x / y,z) * a(z,y \ x,z) = K((y \ x) * z,T(z,y)). [para(8254(a,1),11176(a,1,1))]. given #10024 (H,wt=34): 11164 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,x * y)). [para(8154(a,1),10399(a,2,2))]. given #10025 (H,wt=32): 11188 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,y)). [para(8131(a,1),11164(a,2,2))]. given #10026 (H,wt=26): 11189 K(x \ (y * (x * z)),y) * K(x,K(y,z)) = L(K(y * z,T(y,x)),z,x). [para(8187(a,1),11188(a,1,1)),flip(a)]. given #10027 (H,wt=25): 11190 K(x \ (y * (x * z)),y) * K(x,K(y,z)) = K((x / (x * z)) \ y,y). [hyper(255,a,10537,a(flip),b,11189,a)]. given #10028 (H,wt=21): 11191 K((x / (x * y)) \ z,z) = K(y * z,z) * K(x,K(z,y)). [para(11014(a,1),11190(a,1,1)),flip(a)]. given #10029 (H,wt=21): 11192 K((x / (x * y)) \ z,z) = K(z * y,z) * K(x,K(z,y)). [para(5894(a,1),11191(a,2,1))]. given #10030 (H,wt=17): 11194 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(255,a,8191,a(flip),b,11192,a)]. given #10031 (H,wt=17): 11195 K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). [para(19(a,1),11194(a,1,1,1,2)),flip(a)]. given #10032 (H,wt=17): 11196 K((x \ y) * z,T(z,x)) = K((x / y) \ z,z). [hyper(255,a,6408,a,b,11195,a(flip)),flip(a)]. given #10033 (H,wt=20): 11197 K(x / y,z) * a(z,y \ x,z) = K((y / x) \ z,z). [hyper(255,a,11177,a,b,11196,a(flip)),flip(a)]. given #10034 (H,wt=20): 11198 K(x,y / z) * K((z / y) \ x,x) = a(x,z \ y,x). [hyper(5622,a,11197,a)]. given #10035 (H,wt=20): 11199 T(x,(y / z) \ x) \ T(x,z / y) = a(x,y \ z,x). [hyper(255,a,5865,a,b,11198,a(flip)),flip(a)]. given #10036 (H,wt=22): 11200 T(x,(y / z) \ x) \ T(x,(y / z) \ 1) = a(x,y \ z,x). [para(4661(a,2),11199(a,1,2))]. given #10037 (H,wt=24): 11201 T(x,(y / z) \ x) \ T(x,x \ ((y / z) \ x)) = a(x,y \ z,x). [para(4409(a,2),11200(a,1,2))]. given #10038 (H,wt=28): 11202 T(x,(y / z) \ x) \ ((x \ ((y / z) \ x)) \ ((y / z) \ x)) = a(x,y \ z,x). [hyper(255,a,381,a(flip),b,11201,a(flip)),flip(a)]. given #10039 (H,wt=15): 11203 a(x,(y / z) \ 1,x) = a(x,y \ z,x). [hyper(255,a,9194,a(flip),b,11202,a(flip)),flip(a)]. given #10040 (H,wt=15): 11204 a(x,(y * z) \ z,x) = a(x,y \ 1,x). [para(20(a,1),11203(a,1,2,1)),flip(a)]. given #10041 (H,wt=34): 11165 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [hyper(5934,a,10794,a)]. given #10042 (H,wt=34): 11166 (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(3936(a,1),11154(a,1,2))]. given #10043 (H,wt=34): 11167 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(4994(a,1),11155(a,1,1))]. given #10044 (H,wt=27): 11208 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(29(a,2),11167(a,1,1,1))]. given #10045 (H,wt=15): 11209 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [hyper(6675,a,11208,a)]. given #10046 (H,wt=13): 11212 a(x,y,1 / z) = a(x,y,z \ 1). [para(1455(a,1),11209(a,1,3))]. given #10047 (H,wt=21): 11214 a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). [para(4990(a,1),11209(a,1,3))]. given #10048 (H,wt=28): 11211 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(255,a,5100,a,b,11209,a(flip)),flip(a)]. given #10049 (H,wt=28): 11216 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(2247(a,1),11211(a,1,1,1,2,2))]. given #10050 (H,wt=34): 11168 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x * y,T(x,z)) \ 1,K(x * y,x),y). [para(7539(a,2),11156(a,2,1,1))]. given #10051 (H,wt=32): 11217 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x,T(x * y,z)),K(x * y,x),y). [para(7575(a,1),11168(a,2,1))]. given #10052 (H,wt=25): 11218 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). [hyper(255,a,9204,a(flip),b,11217,a)]. given #10053 (H,wt=33): 11221 K(x,T(y / z,y) \ y) \ (K(x,z) * K(y,K(u,y * K(x,z)))) = K(y,T(y * K(x,z),u)). [para(7224(a,2),11218(a,1,1))]. given #10054 (H,wt=25): 11222 K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). [para(7996(a,1),11221(a,1,2,2))]. given #10055 (H,wt=23): 11223 K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). [para(17(a,1),11222(a,1,2))]. given #10056 (H,wt=23): 11224 K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). [hyper(5623,a,11223,a)]. given #10057 (H,wt=23): 11225 K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). [para(7225(a,1),11224(a,1,1))]. given #10058 (H,wt=21): 11226 K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). [hyper(255,a,8028,a(flip),b,11225,a)]. given #10059 (H,wt=15): 11227 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(255,a,7360,a(flip),b,11226,a(flip)),flip(a)]. given #10060 (H,wt=24): 11228 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(11227(a,1),6171(a,1,1,1,2))]. given #10061 (H,wt=22): 11229 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(5252(a,2),11228(a,1,1,1))]. given #10062 (H,wt=18): 11230 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(6800,a,11229,a)]. given #10063 (H,wt=21): 11231 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(11230(a,1),10755(a,1,1))]. given #10064 (H,wt=34): 11206 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [hyper(8657,a,11165,a)]. given #10065 (H,wt=34): 11207 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(4997,a,11166,a)]. given #10066 (H,wt=34): 11233 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(4994(a,1),11207(a,1,1))]. given #10067 (H,wt=27): 11234 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(29(a,2),11233(a,1,1,1))]. given #10068 (H,wt=15): 11235 a(x,K(y,y \ 1) * z,u) = a(x,z,u). [hyper(6675,a,11234,a)]. given #10069 (H,wt=13): 11238 a(x,(y \ 1) \ 1,z) = a(x,y,z). [para(1456(a,1),11235(a,1,2))]. given #10070 (H,wt=15): 11239 a(x,y * K(z,z \ 1),u) = a(x,y,u). [para(2247(a,1),11235(a,1,2))]. given #10071 (H,wt=35): 5597 (K(x * y,z) * (x * (y * u))) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5272(a,1),441(a,1,2))]. given #10072 (H,wt=34): 11240 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5557(a,1),5597(a,1,1))]. given #10073 (H,wt=35): 6368 (R(K(x,y),z,u) \ K(R(K(x,y),z,u) * w,R(K(y,x),z,u))) \ w = w / (R(K(x,y),z,u) \ 1). [para(6366(a,1),6184(a,1,1,2,2))]. given #10074 (H,wt=28): 11242 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1). [para(9765(a,1),6368(a,1,1))]. given #10075 (H,wt=26): 11243 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u). [para(6366(a,1),11242(a,2,2))]. given #10076 (H,wt=19): 11244 R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). [para(7910(a,1),11243(a,1,1,1))]. given #10077 (H,wt=19): 11245 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [para(11244(a,1),70(a,1,2))]. given #10078 (H,wt=19): 11247 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [hyper(255,a,9767,a(flip),b,11245,a(flip)),flip(a)]. given #10079 (H,wt=22): 11248 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(6418(a,1),11247(a,1,1))]. given #10080 (H,wt=22): 11249 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7539(a,2),11248(a,2,1))]. given #10081 (H,wt=35): 7179 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(7176(a,1),3455(a,1,2)),flip(a)]. given #10082 (H,wt=33): 11251 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(255,a,4907,a(flip),b,7179,a)]. given #10083 (H,wt=33): 11252 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(255,a,1438,a(flip),b,11251,a)]. given #10084 (H,wt=25): 11253 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(1439(a,1),11252(a,1,2))]. given #10085 (H,wt=21): 11254 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(80,a,5144,a(flip),b,11253,a)]. given #10086 (H,wt=35): 7232 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)). [para(6735(a,1),7230(a,2,1))]. given #10087 (H,wt=32): 11255 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). [hyper(255,a,7628,a(flip),b,7232,a)]. given #10088 (H,wt=27): 11256 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(279(a,1),11255(a,2,1,2))]. given #10089 (H,wt=13): 11257 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1840(a,1),11256(a,1,2)),flip(a)]. given #10090 (H,wt=19): 11258 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(255,a,7051,a(flip),b,11257,a(flip)),flip(a)]. given #10091 (H,wt=21): 11259 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(255,a,7032,a(flip),b,11257,a(flip))]. given #10092 (H,wt=35): 9036 (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(7717(a,1),5543(a,1,1,2))]. given #10093 (H,wt=33): 11260 (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(5220(a,1),9036(a,1,1))]. given #10094 (H,wt=21): 11261 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(636,a,11260,a),flip(a)]. given #10095 (H,wt=23): 11263 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5536(a,1),11261(a,1,2)),flip(a)]. given #10096 (H,wt=24): 11262 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(11260(a,1),636(a,1))]. given #10097 (H,wt=35): 9201 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(3217(a,1),9137(a,1,1))]. given #10098 (H,wt=35): 9209 ((x * K(y,z)) / (x * K(u,z))) \ 1 = (K(z,u) * K(y,z)) \ K(K(z,u) * K(y,z),x * K(u,z)). [para(9202(a,1),5360(a,1,1,1))]. given #10099 (H,wt=35): 9216 x / T((1 * (K(y,z) * K(u,y))) * x,K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. [para(9215(a,1),4423(a,1,2,2))]. given #10100 (H,wt=33): 11266 x / T((K(y,z) * K(u,y)) * x,K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. [para(16(a,1),9216(a,1,2,1,1))]. given #10101 (H,wt=33): 11267 x / T(K(y,z) * (K(u,y) * x),K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. [para(10270(a,1),11266(a,1,2,1))]. given #10102 (H,wt=35): 9889 T(x,L(T(T(y * z,z) / y,(T(y * z,z) / y) \ (y * z)),u,w)) = T(x,L((y * z) / y,u,w)). [para(4150(a,1),9888(a,2,2,1))]. given #10103 (H,wt=31): 11268 T(x,L(T(T(y * z,z) / y,y * K(z,y * z)),u,w)) = T(x,L((y * z) / y,u,w)). [para(10833(a,1),9889(a,1,2,1,2))]. given #10104 (H,wt=35): 9966 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [hyper(255,a,5433,a,b,9954,a),flip(a)]. given #10105 (H,wt=31): 11269 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(21(a,1),9966(a,2,1))]. given #10106 (H,wt=31): 11270 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [hyper(255,a,6741,a(flip),b,11269,a),flip(a)]. given #10107 (H,wt=35): 9988 K(x / y,T(z,u)) \ T(x / (K(y \ x,z) \ x),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). [para(8284(a,1),7569(a,1,2,1,2))]. given #10108 (H,wt=31): 11271 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ T(K(y \ x,z),u). [para(70(a,1),9988(a,1,2,1)),flip(a)]. given #10109 (H,wt=31): 11273 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ K(y \ x,T(z,u)). [para(7539(a,2),11271(a,2,2))]. given #10110 (H,wt=31): 11274 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(z,T(x / y,u)) * K(y \ x,T(z,u)). [hyper(255,a,7597,a(flip),b,11273,a)]. given #10111 (H,wt=25): 11275 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). [hyper(255,a,8499,a(flip),b,11274,a(flip))]. given #10112 (H,wt=26): 11277 K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. [para(11275(a,2),8563(a,1))]. given #10113 (H,wt=35): 10113 K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,y) \ T(K(x,T(y,z)) * u,w),K(x,y)). [para(10111(a,1),5026(a,1,1,2,1)),flip(a)]. given #10114 (H,wt=31): 11278 K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,T(y,z)) * u,w) * K(y,x). [hyper(255,a,8382,a(flip),b,10113,a)]. given #10115 (H,wt=35): 10291 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). [para(10289(a,1),3802(a,1,1)),flip(a)]. given #10116 (H,wt=30): 11279 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). [para(10289(a,1),10291(a,2,2,1,1))]. given #10117 (H,wt=28): 11280 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5381(a,1),11279(a,2,2,1))]. given #10118 (H,wt=26): 11282 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5381(a,1),11280(a,1,1,2,1))]. given #10119 (H,wt=26): 11283 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(255,a,5620,a(flip),b,11282,a(flip)),flip(a)]. given #10120 (H,wt=30): 11285 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). [para(11282(a,2),10198(a,1,1))]. given #10121 (H,wt=35): 10520 (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). [para(9428(a,2),10519(a,1,1))]. given #10122 (H,wt=35): 10633 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(73(a,1),10548(a,1,1,2)),flip(a)]. given #10123 (H,wt=31): 11288 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(73(a,1),10633(a,2,2,2,1,1,2))]. given #10124 (H,wt=27): 11289 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(73(a,1),11288(a,1,2))]. given #10125 (H,wt=25): 11290 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(11289(a,1),10323(a,1,1))]. given #10126 (H,wt=19): 11291 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(255,a,7193,a(flip),b,11290,a(flip)),flip(a)]. given #10127 (H,wt=19): 11292 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(10784,a,11291,a),flip(a)]. given #10128 (H,wt=19): 11295 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(255,a,9243,a(flip),b,11292,a(flip)),flip(a)]. given #10129 (H,wt=21): 11296 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(11295(a,1),5252(a,2,2)),flip(a)]. given #10130 (H,wt=24): 11294 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(10171,a,11292,a),flip(a)]. given #10131 (H,wt=20): 11297 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(19(a,1),11294(a,1,2,2,2)),flip(a)]. given #10132 (H,wt=15): 11298 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(35(a,2),11297(a,2,2))]. given #10133 (H,wt=10): 11301 K(x,R(y,x,z)) = K(x,y). [hyper(255,a,10914,a(flip),b,11298,a(flip))]. given #10134 (H,wt=10): 11304 K(R(x,y,z),y) = K(x,y). [hyper(255,a,9493,a,b,11301,a(flip)),flip(a)]. given #10135 (H,wt=13): 11310 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(255,a,11304,a,b,11304,a)]. given #10136 (H,wt=14): 11306 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(255,a,6377,a(flip),b,11301,a(flip)),flip(a)]. given #10137 (H,wt=15): 11305 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(255,a,9861,a(flip),b,11301,a(flip)),flip(a)]. given #10138 (H,wt=15): 11315 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(11310(a,1),9496(a,1,2)),flip(a)]. given #10139 (H,wt=10): 11322 T(x,R(y,x,z)) = T(x,y). [hyper(255,a,7445,a(flip),b,11315,a)]. given #10140 (H,wt=15): 11317 K(x / (y * z),y) = K(y \ (x / z),y). [hyper(6509,a,11306,a)]. given #10141 (H,wt=15): 11318 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(10784,a,11305,a)]. given #10142 (H,wt=15): 11320 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(255,a,8722,a,b,11305,a(flip)),flip(a)]. given #10143 (H,wt=15): 11325 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(255,a,8881,a,b,11317,a(flip)),flip(a)]. given #10144 (H,wt=15): 11327 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(18(a,1),11320(a,1,2,1)),flip(a)]. given #10145 (H,wt=16): 11307 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(51(a,1),11301(a,1,2))]. given #10146 (H,wt=17): 11300 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(10163,a,11298,a)]. given #10147 (H,wt=17): 11303 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(255,a,9615,a,b,11301,a(flip)),flip(a)]. given #10148 (H,wt=19): 11321 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [hyper(255,a,11291,a(flip),b,11305,a(flip)),flip(a)]. given #10149 (H,wt=19): 11328 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(11325(a,1),7626(a,1,1))]. given #10150 (H,wt=17): 11334 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7651,a,11328,a)]. given #10151 (H,wt=17): 11335 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(255,a,9474,a(flip),b,11334,a(flip)),flip(a)]. given #10152 (H,wt=19): 11333 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(255,a,9244,a(flip),b,11321,a(flip))]. given #10153 (H,wt=19): 11337 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(255,a,11327,a(flip),b,11333,a(flip))]. given #10154 (H,wt=21): 11326 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(11318(a,1),11296(a,1,2))]. given #10155 (H,wt=19): 11339 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(5255,a,11326,a),flip(a)]. given #10156 (H,wt=21): 11336 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(11335(a,1),6670(a,1,1,2)),flip(a)]. given #10157 (H,wt=17): 11340 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(255,a,6670,a(flip),b,11336,a)]. given #10158 (H,wt=17): 11341 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(7899,a,11340,a)]. given #10159 (H,wt=17): 11342 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(70(a,1),11341(a,1,2,1,2)),flip(a)]. given #10160 (H,wt=22): 11330 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(255,a,6384,a,b,11307,a(flip)),flip(a)]. given #10161 (H,wt=19): 11344 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(11301(a,1),11330(a,1,1))]. given #10162 (H,wt=22): 11338 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(11337(a,1),6392(a,1))]. given #10163 (H,wt=24): 11331 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(11300(a,1),462(a,1,1))]. given #10164 (H,wt=21): 11346 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(255,a,7132,a(flip),b,11331,a(flip))]. given #10165 (H,wt=17): 11347 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(5340(a,1),11346(a,2,1))]. given #10166 (H,wt=15): 11348 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(255,a,9300,a(flip),b,11347,a(flip)),flip(a)]. given #10167 (H,wt=10): 11350 L(x,K(y,z),z * y) = x. [hyper(749,a,11348,a)]. given #10168 (H,wt=10): 11354 L(x,y * z,K(z,y)) = x. [hyper(10957,a,11350,a)]. given #10169 (H,wt=11): 11353 L(x,T(y,z),z) = L(x,y,z). [hyper(10959,a,11350,a)]. given #10170 (H,wt=13): 11357 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(255,a,10305,a(flip),b,11354,a(flip)),flip(a)]. given #10171 (H,wt=11): 11366 L(x,y,T(z,y)) = L(x,y,z). [para(5266(a,1),11357(a,1,3)),flip(a)]. given #10172 (H,wt=13): 11361 L(x,y / z,z) = L(x,z \ y,z). [para(129(a,1),11353(a,1,2)),flip(a)]. given #10173 (H,wt=16): 11358 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(255,a,7263,a(flip),b,11354,a(flip))]. given #10174 (H,wt=16): 11372 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [para(11358(a,2),70(a,1,2))]. given #10175 (H,wt=17): 11368 L(x,y \ z,(y \ z) \ z) = L(x,y \ z,y). [hyper(255,a,1978,a(flip),b,11366,a(flip)),flip(a)]. given #10176 (H,wt=25): 11329 K(x,x \ ((y \ 1) \ (x * z))) = K(x,z / T(y \ 1,y * (x * z))). [para(4545(a,1),11327(a,1,2,2))]. given #10177 (H,wt=21): 11373 K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). [hyper(255,a,10882,a(flip),b,11329,a(flip))]. given #10178 (H,wt=28): 11324 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(481(a,1),11322(a,1,2))]. given #10179 (H,wt=28): 11343 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(255,a,8662,a,b,11342,a(flip)),flip(a)]. given #10180 (H,wt=28): 11374 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(255,a,47,a,b,11324,a(flip)),flip(a)]. given #10181 (H,wt=28): 11375 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4887(a,1),11343(a,2,2))]. given #10182 (H,wt=26): 11377 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(255,a,8873,a(flip),b,11375,a)]. given #10183 (H,wt=24): 11378 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(255,a,8535,a(flip),b,11377,a)]. given #10184 (H,wt=15): 11379 K(x,x \ T(y,z)) = K(x,T(x \ y,z)). [hyper(255,a,10911,a(flip),b,11378,a(flip)),flip(a)]. given #10185 (H,wt=17): 11381 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(255,a,10637,a,b,11379,a(flip)),flip(a)]. given #10186 (H,wt=19): 11382 T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). [hyper(255,a,5051,a,b,11379,a(flip)),flip(a)]. given #10187 (H,wt=23): 11383 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(11381(a,1),5263(a,2,1)),flip(a)]. given #10188 (H,wt=19): 11384 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(255,a,9596,a(flip),b,11383,a(flip))]. given #10189 (H,wt=23): 11385 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(11384(a,2),6082(a,1,2))]. given #10190 (H,wt=19): 11386 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(225,a,11385,a)]. given #10191 (H,wt=22): 11387 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(11386(a,1),10549(a,1,1))]. given #10192 (H,wt=26): 11388 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(11387(a,1),11270(a,1,1)),flip(a)]. given #10193 (H,wt=24): 11389 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [hyper(255,a,9425,a(flip),b,11388,a)]. given #10194 (H,wt=17): 11390 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [hyper(255,a,5433,a(flip),b,11389,a(flip))]. given #10195 (H,wt=21): 11391 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(20(a,1),11390(a,2,1))]. given #10196 (H,wt=19): 11392 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(37(a,2),11391(a,1,3))]. given #10197 (H,wt=26): 11393 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(11392(a,1),5350(a,1,2))]. given #10198 (H,wt=21): 11394 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [hyper(255,a,9964,a(flip),b,11393,a(flip))]. given #10199 (H,wt=24): 11395 (K(x * y,z) * y) * T(x,y) != x * u | y * K(x * y,z) = u. [para(11394(a,2),24(a,1))]. given #10200 (H,wt=28): 11376 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(255,a,4463,a(flip),b,11374,a)]. given #10201 (H,wt=28): 11396 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(255,a,47,a,b,11376,a)]. given #10202 (H,wt=28): 11397 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(11339(a,1),11396(a,1,1))]. given #10203 (H,wt=20): 11398 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(20(a,1),11397(a,1,1,2,2)),flip(a)]. given #10204 (H,wt=17): 11399 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(6165,a,11398,a),flip(a)]. given #10205 (H,wt=17): 11401 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(255,a,1069,a(flip),b,11399,a(flip)),flip(a)]. given #10206 (H,wt=17): 11403 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(564(a,1),11399(a,1,1)),flip(a)]. given #10207 (H,wt=19): 11402 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(18(a,1),11399(a,1,1,2)),flip(a)]. given #10208 (H,wt=21): 11409 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(11403(a,1),7271(a,1,2,1)),flip(a)]. given #10209 (H,wt=24): 11410 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1306(a,1),11402(a,1,1)),flip(a)]. given #10210 (H,wt=21): 11411 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(255,a,179,a(flip),b,11410,a)]. given #10211 (H,wt=21): 11412 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(47(a,2),11411(a,2,1))]. given #10212 (H,wt=20): 11413 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(255,a,545,a(flip),b,11412,a)]. given #10213 (H,wt=25): 11414 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(11413(a,1),5196(a,1,1))]. given #10214 (H,wt=20): 11415 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(5486,a,11414,a),flip(a)]. given #10215 (H,wt=20): 11416 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(8070,a,11415,a)]. given #10216 (H,wt=20): 11417 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(255,a,10136,a,b,11416,a)]. given #10217 (H,wt=29): 11400 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(11398(a,1),5674(a,1,2,1))]. given #10218 (H,wt=20): 11418 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(6459,a,11400,a),flip(a)]. given #10219 (H,wt=23): 11419 K(R(x,y,z) \ u,R(x,y,z)) != w | K(x \ u,R(x,y,z)) = w. [para(11400(a,1),6459(a,1))]. given #10220 (H,wt=31): 11293 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(127(a,1),11291(a,1,2,2)),flip(a)]. given #10221 (H,wt=31): 11407 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5995(a,1),11401(a,2,1))]. given #10222 (H,wt=26): 11423 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(255,a,7155,a(flip),b,11407,a)]. given #10223 (H,wt=24): 11424 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(7153(a,1),11423(a,1,1)),flip(a)]. given #10224 (H,wt=31): 11421 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(11418(a,1),5169(a,1,1,2))]. given #10225 (H,wt=28): 11426 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5986(a,1),11421(a,1,1))]. given #10226 (H,wt=28): 11427 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(255,a,47,a,b,11426,a(flip)),flip(a)]. given #10227 (H,wt=25): 11428 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(5169(a,1),11427(a,1,1)),flip(a)]. given #10228 (H,wt=25): 11429 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(255,a,49,a(flip),b,11428,a)]. given #10229 (H,wt=31): 11422 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(255,a,7542,a(flip),b,11293,a)]. given #10230 (H,wt=27): 11431 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(255,a,7935,a(flip),b,11422,a)]. given #10231 (H,wt=27): 11432 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(7899,a,11431,a)]. given #10232 (H,wt=23): 11433 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(255,a,10839,a(flip),b,11432,a(flip)),flip(a)]. given #10233 (H,wt=19): 11435 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(255,a,9460,a(flip),b,11433,a(flip)),flip(a)]. given #10234 (H,wt=17): 11437 K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). [para(132(a,1),11435(a,2,2))]. given #10235 (H,wt=18): 11438 K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). [hyper(255,a,9885,a(flip),b,11437,a(flip)),flip(a)]. given #10236 (H,wt=14): 11440 K(x,a(x,y,y \ 1) \ z) = K(x,z). [para(18(a,1),11438(a,2,2))]. given #10237 (H,wt=16): 11441 K(x,y \ R(x,z,z \ 1)) = K(x,y \ x). [hyper(255,a,9578,a(flip),b,11440,a(flip))]. given #10238 (H,wt=17): 11443 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ x). [hyper(255,a,8780,a,b,11441,a(flip)),flip(a)]. given #10239 (H,wt=19): 11436 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(255,a,8932,a(flip),b,11435,a(flip))]. given #10240 (H,wt=17): 11446 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(60(a,1),11436(a,1,2,2))]. given #10241 (H,wt=32): 11445 R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [hyper(255,a,9769,a(flip),b,11443,a(flip)),flip(a)]. given #10242 (H,wt=30): 11447 R(K(x,T(y,(z * x) / z)),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(11125(a,1),11445(a,1,1))]. given #10243 (H,wt=28): 11448 R(K(x,T(y,T(x,z))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(8482(a,1),11447(a,1,1,2))]. given #10244 (H,wt=24): 11449 K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,y),z * x,z \ 1). [para(5642(a,1),11448(a,1,1)),flip(a)]. given #10245 (H,wt=22): 11450 K(x,((y \ (z * x)) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(255,a,9491,a(flip),b,11449,a)]. given #10246 (H,wt=27): 11452 K(R(x,y,y \ 1),R(z,z \ y,x)) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [para(451(a,1),11450(a,1,2,1,1)),flip(a)]. given #10247 (H,wt=25): 11453 R(K(R(x,y,y \ 1),z),y,x) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [hyper(255,a,6377,a(flip),b,11452,a(flip)),flip(a)]. given #10248 (H,wt=22): 11454 K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(255,a,10702,a(flip),b,11453,a(flip))]. given #10249 (H,wt=22): 11456 K(x,((y \ z) * (z \ 1)) \ (x \ x)) = K(R(x,z,z \ 1),y). [hyper(255,a,11435,a(flip),b,11454,a(flip)),flip(a)]. given #10250 (H,wt=20): 11457 K(x,((y \ z) * (z \ 1)) \ 1) = K(R(x,z,z \ 1),y). [para(60(a,1),11456(a,1,2,2))]. given #10251 (H,wt=17): 11458 R(K(x,y),z,z \ 1) = K(R(x,z,z \ 1),y). [hyper(255,a,6398,a(flip),b,11457,a(flip)),flip(a)]. given #10252 (H,wt=19): 11460 R(K(x,y),z,z \ 1) \ 1 = K(y,R(x,z,z \ 1)). [para(11458(a,2),5381(a,1,1))]. given #10253 (H,wt=17): 11461 R(K(x,y),z,z \ 1) = K(x,R(y,z,z \ 1)). [hyper(6419,a,11460,a)]. given #10254 (H,wt=18): 11462 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(193(a,2),11461(a,2,2)),flip(a)]. given #10255 (H,wt=35): 10814 x * (K(y,z) * R(K(z,T(y,u)),w,v5)) != K(z,y) \ R(K(z,y),w,v5) | K(u,K(y,R(z,w,v5))) = x. [para(10801(a,1),25(a,1)),flip(a)]. given #10256 (H,wt=35): 10947 K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(4966(a,1),10881(a,1,2,2,1,2))]. given #10257 (H,wt=32): 11463 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(255,a,10979,a(flip),b,10947,a(flip)),flip(a)]. given #10258 (H,wt=28): 11464 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(255,a,10969,a(flip),b,11463,a(flip)),flip(a)]. given #10259 (H,wt=28): 11465 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(255,a,10999,a(flip),b,11464,a(flip)),flip(a)]. given #10260 (H,wt=26): 11466 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(17(a,1),11465(a,1,2,2,1))]. given #10261 (H,wt=26): 11467 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(255,a,6042,a(flip),b,11466,a)]. given #10262 (H,wt=26): 11468 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(255,a,11061,a(flip),b,11467,a)]. given #10263 (H,wt=24): 11469 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(17(a,1),11468(a,2,2,2,1))]. given #10264 (H,wt=35): 11041 K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * ((1 / (x \ y)) \ 1),T(1 / (x \ y),x)). [para(7868(a,1),11040(a,1,2)),flip(a)]. given #10265 (H,wt=31): 11470 K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * (x \ y),T(1 / (x \ y),x)). [para(73(a,1),11041(a,2,1,2))]. given #10266 (H,wt=27): 11471 K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * (x \ y),x / y). [hyper(255,a,8411,a(flip),b,11470,a)]. given #10267 (H,wt=35): 11060 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),T(u,x)). [para(37(a,2),10980(a,2,2,2))]. given #10268 (H,wt=33): 11473 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(7587(a,1),11060(a,2,2))]. given #10269 (H,wt=35): 11163 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). [para(5988(a,1),11162(a,1,2,1)),flip(a)]. given #10270 (H,wt=35): 11250 ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). [para(8598(a,1),11249(a,2,1))]. given #10271 (H,wt=35): 11264 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(5600(a,1),9201(a,1,1,1))]. given #10272 (H,wt=31): 11476 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2532(a,1),11264(a,1,1,2)),flip(a)]. given #10273 (H,wt=27): 11477 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(6687(a,1),11476(a,2,1))]. given #10274 (H,wt=27): 11478 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(255,a,9257,a,b,11477,a)]. given #10275 (H,wt=23): 11479 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2535(a,1),11478(a,1,1,1))]. given #10276 (H,wt=23): 11480 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5600(a,1),11479(a,1,1))]. given #10277 (H,wt=25): 11481 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(255,a,10315,a(flip),b,11480,a(flip))]. given #10278 (H,wt=21): 11482 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(8195(a,1),11481(a,1,1)),flip(a)]. given #10279 (H,wt=35): 11265 (K(x,T(y,z)) * K(y,T(u,z))) \ 1 = (K(y,u) * K(x,y)) \ K(K(y,u) * K(x,y),z * K(u,y)). [para(10299(a,1),9209(a,1,1))]. given #10280 (H,wt=35): 11425 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(11424(a,1),10073(a,1,2))]. given #10281 (H,wt=34): 11484 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(4710(a,1),11425(a,1,2,1)),flip(a)]. given #10282 (H,wt=35): 11474 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (y \ 1))) \ u). [hyper(255,a,6043,a(flip),b,11163,a)]. given #10283 (H,wt=31): 11485 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(70(a,1),11474(a,2,2,1,2))]. given #10284 (H,wt=29): 11486 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(6580(a,1),11485(a,1,2,1,1,2,1))]. given #10285 (H,wt=21): 11487 K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). [hyper(255,a,10855,a(flip),b,11486,a(flip))]. given #10286 (H,wt=35): 11475 (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). [para(4722(a,1),11250(a,1,1))]. given #10287 (H,wt=33): 11488 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). [para(8235(a,1),11475(a,1,1,2))]. given #10288 (H,wt=19): 11489 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(9013,a,11488,a),flip(a)]. given #10289 (H,wt=13): 11490 R(K(x,y),L(y,z,u),w) = K(x,y). [para(9050(a,1),11489(a,1,1))]. given #10290 (H,wt=21): 11491 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(255,a,7214,a(flip),b,11490,a(flip)),flip(a)]. given #10291 (H,wt=21): 11493 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(255,a,6864,a(flip),b,11491,a)]. given #10292 (H,wt=25): 11494 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(255,a,10800,a,b,11493,a(flip)),flip(a)]. given #10293 (H,wt=24): 11495 K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. [para(11494(a,1),8566(a,1))]. given #10294 (H,wt=35): 11483 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(T(y,u),x) * 1). [hyper(255,a,10293,a(flip),b,11265,a(flip))]. given #10295 (H,wt=35): 11496 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(y,T(x,u)) * 1). [para(7542(a,1),11483(a,2,2,1))]. given #10296 (H,wt=33): 11497 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * K(y,T(x,u)). [para(17(a,1),11496(a,2,2))]. given #10297 (H,wt=36): 6968 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))). [para(6772(a,1),4154(a,1,2,2)),flip(a)]. given #10298 (H,wt=34): 11498 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (K(x,x \ y) * T(y,z)). [para(5221(a,1),6968(a,2,2))]. given #10299 (H,wt=22): 11499 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = K(y,z). [hyper(255,a,6627,a(flip),b,11498,a)]. given #10300 (H,wt=18): 11501 L(K((x \ 1) \ (x \ y),z),y / x,x) = K(y,z). [hyper(255,a,4782,a(flip),b,11499,a(flip)),flip(a)]. given #10301 (H,wt=36): 8964 R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). [para(8901(a,1),5996(a,1,1,1,2))]. given #10302 (H,wt=25): 11502 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(6798,a,8964,a),flip(a)]. given #10303 (H,wt=36): 9178 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(9164(a,2),423(a,1,2,2))]. given #10304 (H,wt=36): 10110 (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). [para(10108(a,1),1882(a,1,1,1,1))]. given #10305 (H,wt=24): 11505 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(20(a,1),10110(a,1,1,1)),flip(a)]. given #10306 (H,wt=19): 11507 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(10296(a,1),11505(a,1,2,1)),flip(a)]. given #10307 (H,wt=34): 11509 ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(11507(a,1),6199(a,1,2,2))]. given #10308 (H,wt=28): 11510 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(5564(a,1),11509(a,1,2)),flip(a)]. given #10309 (H,wt=24): 11511 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(255,a,5551,a(flip),b,11510,a)]. given #10310 (H,wt=16): 11513 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(255,a,5608,a(flip),b,11511,a)]. given #10311 (H,wt=14): 11515 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(6198(a,1),11513(a,1,2))]. given #10312 (H,wt=36): 10753 K(((x / y) \ 1) * z,T(y / x,u)) * K((x / y) \ 1,T(z,u)) = a((x / y) \ 1,z,(x / y) \ 1). [para(10008(a,1),10751(a,1,1))]. given #10313 (H,wt=36): 11430 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(11429(a,1),1373(a,1,1,1)),flip(a)]. given #10314 (H,wt=29): 11517 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). [hyper(255,a,1373,a(flip),b,11430,a)]. given #10315 (H,wt=29): 11518 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(47(a,2),11517(a,2,3))]. given #10316 (H,wt=36): 11504 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(1943(a,2),9178(a,1,2,2))]. given #10317 (H,wt=33): 11519 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(112(a,1),11504(a,1,2)),flip(a)]. given #10318 (H,wt=36): 11516 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(3711(a,1),10753(a,1,1))]. given #10319 (H,wt=37): 4042 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(4038(a,2),2232(a,1,1,1,1))]. given #10320 (H,wt=37): 6066 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((x * y) \ T(x,y)) \ 1,z,u). [para(6062(a,1),1907(a,1,1)),flip(a)]. given #10321 (H,wt=35): 11521 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((y * x) \ x) \ 1,z,u). [para(6062(a,1),6066(a,2,2,1,1))]. given #10322 (H,wt=33): 11522 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(x \ (y * x),z,u)). [hyper(255,a,1907,a(flip),b,11521,a)]. given #10323 (H,wt=31): 11523 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(T(y,x),z,u)). [para(37(a,2),11522(a,2,2,2,1))]. given #10324 (H,wt=29): 11524 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (R(y,z,u) * x). [para(184(a,1),11523(a,2,2))]. given #10325 (H,wt=25): 11525 (x * y) \ (T(x,y) * R(T(y,x),z,u)) = (y * x) \ (R(y,z,u) * x). [para(4449(a,1),11524(a,1,2,2,1))]. given #10326 (H,wt=23): 11526 (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). [para(4469(a,1),11525(a,1,2))]. given #10327 (H,wt=28): 11527 ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). [para(122(a,1),11526(a,2,2))]. given #10328 (H,wt=37): 6291 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). [para(6289(a,1),2185(a,1,2,1,1))]. given #10329 (H,wt=31): 11528 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1150(a,1),6291(a,2,1))]. given #10330 (H,wt=37): 6292 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). [para(6289(a,2),2185(a,1,1))]. given #10331 (H,wt=27): 11529 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(255,a,11528,a(flip),b,6292,a(flip))]. given #10332 (H,wt=21): 11530 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1150(a,1),11529(a,1,1)),flip(a)]. given #10333 (H,wt=36): 11531 K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). [para(11530(a,1),11103(a,1,1,1,1))]. given #10334 (H,wt=31): 11532 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5563(a,2),11531(a,1,1))]. given #10335 (H,wt=31): 11533 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(8342,a,11532,a)]. given #10336 (H,wt=29): 11534 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(255,a,11084,a(flip),b,11533,a(flip)),flip(a)]. given #10337 (H,wt=25): 11535 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(21(a,1),11534(a,1,2,2)),flip(a)]. given #10338 (H,wt=28): 11536 K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. [para(11535(a,1),8122(a,1))]. given #10339 (H,wt=37): 6887 x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(6884(a,1),883(a,2,1,2))]. given #10340 (H,wt=31): 11537 x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(5247(a,1),6887(a,1,2,2,1))]. given #10341 (H,wt=29): 11539 x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). [para(6130(a,1),11537(a,1,2,2))]. given #10342 (H,wt=27): 11540 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). [hyper(245,a,11539,a)]. given #10343 (H,wt=25): 11541 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). [para(59(a,1),11540(a,2,1))]. given #10344 (H,wt=19): 11542 (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. [hyper(80,a,5655,a(flip),b,11541,a)]. given #10345 (H,wt=37): 7383 K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). [para(5904(a,1),7381(a,1,2,1))]. given #10346 (H,wt=31): 11543 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(255,a,10174,a(flip),b,7383,a(flip))]. given #10347 (H,wt=37): 10276 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(x,y) * (K(z,x) * u)) / (K(x,y) * K(z,x))). [para(10270(a,1),4127(a,2,2,1))]. given #10348 (H,wt=37): 10789 K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))). [hyper(255,a,9407,a(flip),b,9788,a(flip)),flip(a)]. given #10349 (H,wt=37): 11520 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3862(a,2),4042(a,1,1))]. given #10350 (H,wt=37): 11546 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). [hyper(255,a,11001,a(flip),b,10789,a(flip))]. given #10351 (H,wt=34): 11547 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). [hyper(255,a,11469,a(flip),b,11546,a)]. given #10352 (H,wt=27): 11548 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(255,a,11036,a(flip),b,11547,a)]. given #10353 (H,wt=20): 11550 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2663(a,1),11548(a,1,2))]. given #10354 (H,wt=24): 11551 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(11550(a,1),6670(a,1,1,2)),flip(a)]. given #10355 (H,wt=20): 11552 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(255,a,6670,a(flip),b,11551,a)]. given #10356 (H,wt=31): 11553 T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11552(a,1),6916(a,1,1,2))]. given #10357 (H,wt=31): 11554 T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11038(a,1),11553(a,1,1,2))]. given #10358 (H,wt=29): 11555 T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(59(a,1),11554(a,1,1,2,1,2))]. given #10359 (H,wt=26): 11556 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5984(a,1),11555(a,1,1))]. given #10360 (H,wt=26): 11557 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(255,a,45,a,b,11556,a(flip)),flip(a)]. given #10361 (H,wt=21): 11558 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5820(a,1),11557(a,1,1)),flip(a)]. given #10362 (H,wt=18): 11559 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4626,a,11558,a)]. given #10363 (H,wt=19): 11561 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(11559(a,1),7483(a,1,2))]. given #10364 (H,wt=20): 11562 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10768(a,1),11561(a,1))]. given #10365 (H,wt=23): 11560 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(11559(a,1),428(a,1,2))]. given #10366 (H,wt=16): 11563 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(415,a,11560,a),flip(a)]. given #10367 (H,wt=12): 11564 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(317,a,11563,a),flip(a)]. given #10368 (H,wt=17): 11567 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(255,a,5430,a,b,11564,a),flip(a)]. given #10369 (H,wt=21): 11570 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). [para(11564(a,1),10234(a,1,2,2)),flip(a)]. given #10370 (H,wt=14): 11572 K(x * L(y,z,u),y) = K(y * x,y). [hyper(255,a,7676,a(flip),b,11570,a)]. given #10371 (H,wt=14): 11576 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(255,a,8057,a(flip),b,11572,a(flip))]. given #10372 (H,wt=14): 11578 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(255,a,11021,a(flip),b,11576,a(flip)),flip(a)]. given #10373 (H,wt=14): 11579 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(8567,a,11578,a)]. given #10374 (H,wt=16): 11575 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(255,a,11258,a(flip),b,11572,a(flip)),flip(a)]. given #10375 (H,wt=14): 11581 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(255,a,5734,a(flip),b,11575,a)]. given #10376 (H,wt=17): 11574 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [hyper(255,a,9167,a,b,11572,a)]. given #10377 (H,wt=12): 11585 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(10250,a,11574,a)]. given #10378 (H,wt=18): 11582 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(11495,a,11581,a)]. given #10379 (H,wt=18): 11583 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(255,a,11259,a(flip),b,11581,a(flip)),flip(a)]. given #10380 (H,wt=18): 11586 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(11585(a,2),10064(a,2,2))]. given #10381 (H,wt=18): 11589 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(255,a,11019,a(flip),b,11583,a)]. given #10382 (H,wt=19): 11591 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(112(a,1),11589(a,1,1,2))]. given #10383 (H,wt=19): 11593 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [hyper(255,a,8909,a(flip),b,11591,a(flip)),flip(a)]. given #10384 (H,wt=21): 11590 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,v5,v6)). [para(11564(a,2),11586(a,1,2))]. given #10385 (H,wt=22): 11594 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [hyper(255,a,11057,a,b,11593,a(flip)),flip(a)]. given #10386 (H,wt=23): 11592 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(8697,a,11591,a)]. given #10387 (H,wt=19): 11596 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(255,a,11018,a(flip),b,11592,a)]. given #10388 (H,wt=20): 11597 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(255,a,10001,a(flip),b,11596,a(flip)),flip(a)]. given #10389 (H,wt=15): 11598 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(33(a,2),11597(a,2,1))]. given #10390 (H,wt=15): 11599 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(11562,a,11598,a),flip(a)]. -------- Proof 1 -------- "LKKL". ============================== PROOF ================================= % Proof 1 at 860.06 (+ 34.40) seconds: "LKKL". % Length of proof is 4206. % Level of proof is 327. % Maximum clause weight is 44.000. % Given clauses 10390 (31.774 givens/level). 1 x * y = u & x * z = u -> y = z # label(non_clause). [assumption]. 2 y * x = u & z * x = u -> y = z # label(non_clause). [assumption]. 3 x * y = x * z -> y = z # label(non_clause). [assumption]. 4 y * x = z * x -> y = z # label(non_clause). [assumption]. 5 a(x,y,z) = 1 -> L(z,y,x) = z # label(non_clause). [assumption]. 6 L(x,y,z) = x -> a(z,y,x) = 1 # label(non_clause). [assumption]. 7 T(x,y) = x -> T(y,x) = y # label(non_clause). [assumption]. 8 T(x,y) = x -> K(x,y) = 1 # label(non_clause). [assumption]. 9 K(x,y) = 1 -> T(x,y) = x # label(non_clause). [assumption]. 15 L(K(x,y),z,u) = K(x,L(y,z,u)) # label("LKKL") # label(non_clause) # label(goal). [goal]. 16 1 * x = x. [assumption]. 17 x * 1 = x. [assumption]. 18 x \ (x * y) = y. [assumption]. 19 x * (x \ y) = y. [assumption]. 20 (x * y) / y = x. [assumption]. 21 (x / y) * y = x. [assumption]. 22 x * y != z | x * u != z | u = y. [clausify(1)]. 23 x * y != z | u * y != z | u = x. [clausify(2)]. 24 x * y != x * z | y = z. [clausify(3)]. 25 x * y != z * y | x = z. [clausify(4)]. 26 x != y | z * x = z * y. [assumption]. 27 x != y | x * z = y * z. [assumption]. 28 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 29 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(28),flip(a)]. 30 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 31 K(x,y) = (y * x) \ (x * y). [copy(30),flip(a)]. 32 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 33 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(32),flip(a)]. 34 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 35 R(x,y,z) = ((x * y) * z) / (y * z). [copy(34),flip(a)]. 36 x \ (y * x) = T(y,x). [assumption]. 37 T(x,y) = y \ (x * y). [copy(36),flip(a)]. 38 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 39 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 40 T(x,y) != x | T(y,x) = y. [clausify(7)]. 41 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 42 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 43 T(T(x,y),z) = T(T(x,z),y) # label("AIM-TT condition"). [assumption]. 44 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 45 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(44),flip(a)]. 46 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 47 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(46),flip(a)]. 48 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 49 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(48),flip(a)]. 50 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 51 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 57 L(K(c21,c22),c23,c24) != K(c21,L(c22,c23,c24)) # label("LKKL") # answer("LKKL"). [deny(15)]. 58 x * (1 * 1) = x. [para(16(a,2),17(a,1,2))]. 59 1 \ x = x. [para(16(a,1),18(a,1,2))]. 60 x \ x = 1. [para(17(a,1),18(a,1,2))]. 61 x \ (x * (y \ (y * z))) = z. [para(18(a,2),18(a,1))]. 62 (x * (x \ 1)) * y = y. [para(19(a,2),16(a,1,1))]. 63 x * (x \ (1 * y)) = y. [para(19(a,2),16(a,1))]. 64 x * (y * (y \ 1)) = x. [para(19(a,2),17(a,1,2))]. 65 x \ (y * (y \ (x * z))) = z. [para(19(a,2),18(a,1,2))]. 66 x * (y * (y \ (x \ z))) = z. [para(19(a,2),19(a,1,2))]. 67 x / x = 1. [para(16(a,1),20(a,1,1))]. 68 x / 1 = x. [para(17(a,1),20(a,1,1))]. 69 x * (((x \ y) * z) / z) = y. [para(20(a,2),19(a,1,2))]. 70 x / (y \ x) = y. [para(19(a,1),20(a,1,1))]. 71 ((1 / x) * x) * y = y. [para(21(a,2),16(a,1,1))]. 72 x * ((1 / y) * y) = x. [para(21(a,2),17(a,1,2))]. 73 (x / y) \ x = y. [para(21(a,1),18(a,1,2))]. 74 x \ (((x * y) / z) * z) = y. [para(21(a,2),18(a,1,2))]. 75 (x \ (x * (y / z))) * z = y. [para(18(a,2),21(a,1,1))]. 76 ((x * (x \ y)) / z) * z = y. [para(21(a,2),19(a,1))]. 77 (((x * y) / z) * z) / y = x. [para(21(a,2),20(a,1,1))]. 78 (((x / y) / z) * z) * y = x. [para(21(a,2),21(a,1,1))]. 79 x != y | 1 * z != y | z = x. [para(16(a,1),22(a,1))]. 80 x != y | z * u != y | z \ x = u. [para(19(a,1),22(a,1)),flip(c)]. 81 x != y | z * u != y | x / u = z. [para(21(a,1),23(a,1)),flip(c)]. 82 1 * x != y | y = x. [para(16(a,1),24(a,1)),flip(a)]. 83 1 * x != y | x = y. [para(16(a,1),24(a,2))]. 85 (x * y) * 1 != x * z | z = y. [para(17(a,2),24(a,2)),flip(a)]. 87 x * y != z | x \ z = y. [para(19(a,1),24(a,1)),flip(a)]. 88 x * (x \ (y * z)) != y * u | u = z. [para(19(a,2),24(a,2)),flip(a)]. 89 (x / y) * z != x | z = y. [para(21(a,1),24(a,2))]. 91 x * 1 != y | y = x. [para(17(a,1),25(a,1)),flip(a)]. 93 x \ (x * (y * z)) != u * z | u = y. [para(18(a,2),25(a,2)),flip(a)]. 94 x * (y \ z) != z | x = y. [para(19(a,1),25(a,2))]. 96 x * y != z | z / y = x. [para(21(a,1),25(a,1)),flip(a)]. 97 x * (y * (y \ z)) = x * z. [hyper(26,a,19,a)]. 98 ((x / y) * y) * z = x * z. [hyper(27,a,21,a)]. 99 (x * (x \ y)) * z = y * z. [hyper(27,a,19,a)]. 100 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(29(a,2),19(a,1,2))]. 104 (x * y) * K(y,x) = y * x. [para(31(a,2),19(a,1,2))]. 105 x \ ((y \ x) * y) = K(y \ x,y). [para(19(a,1),31(a,2,1)),flip(a)]. 106 ((x \ y) * x) \ y = K(x,x \ y). [para(19(a,1),31(a,2,2)),flip(a)]. 107 x \ (y * (x / y)) = K(y,x / y). [para(21(a,1),31(a,2,1)),flip(a)]. 108 (x * (y / x)) \ y = K(y / x,x). [para(21(a,1),31(a,2,2)),flip(a)]. 110 (x * 1) \ (x * y) = L(y,1,x). [para(16(a,1),33(a,2,2,2)),flip(a)]. 111 (x * y) \ (x * y) = L(1,y,x). [para(17(a,1),33(a,2,2,2)),flip(a)]. 112 (x * y) * L(z,y,x) = x * (y * z). [para(33(a,2),19(a,1,2))]. 114 L(x \ y,x,z) = (z * x) \ (z * y). [para(19(a,1),33(a,2,2,2))]. 115 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(21(a,1),33(a,2,1)),flip(a)]. 116 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(21(a,1),33(a,2,2,2))]. 117 (x * y) / (x * y) = R(1,x,y). [para(16(a,1),35(a,2,1,1)),flip(a)]. 118 ((x * 1) * y) / y = R(x,1,y). [para(16(a,1),35(a,2,2)),flip(a)]. 120 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(19(a,1),35(a,2,1,1))]. 121 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(19(a,1),35(a,2,1))]. 122 R(x,y,z) * (y * z) = (x * y) * z. [para(35(a,2),21(a,1,1))]. 123 R(x / y,y,z) = (x * z) / (y * z). [para(21(a,1),35(a,2,1,1))]. 125 T(1,x) = x \ x. [para(16(a,1),37(a,2,2))]. 126 T(x,x) = x. [para(37(a,2),18(a,1))]. 127 x * T(y,x) = y * x. [para(37(a,2),19(a,1,2))]. 128 T(x,x \ y) = (x \ y) \ y. [para(19(a,1),37(a,2,2))]. 129 T(x / y,y) = y \ x. [para(21(a,1),37(a,2,2))]. 130 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(47(a,2),43(a,1,1)),flip(a)]. 131 x \ (1 \ (x * y)) = y. [hyper(22,a,19,a,b,59,a(flip)),flip(a)]. 132 (x * (x \ 1)) \ y = y. [para(19(a,2),59(a,1,1))]. 133 ((1 / x) * x) \ y = y. [para(21(a,2),59(a,1,1))]. 135 x / (y * (y \ 1)) = x. [para(19(a,2),68(a,1,2))]. 136 x / ((1 / y) * y) = x. [para(21(a,2),68(a,1,2))]. 137 T(T(x,y),x) = T(x,y). [para(126(a,1),43(a,1,1)),flip(a)]. 138 T(L(x,y,z),x) = L(x,y,z). [para(126(a,1),45(a,1,1)),flip(a)]. 139 x \ x = 1 * 1. [hyper(22,a,19,a,b,58,a),flip(a)]. 140 (x / (y \ x)) * z = y * z. [hyper(27,a,70,a)]. 142 (x * y) / K(x,y) = y * x. [para(31(a,2),70(a,1,2))]. 143 (x * (y * z)) / L(z,y,x) = x * y. [para(33(a,2),70(a,1,2))]. 144 (x * y) / T(x,y) = y. [para(37(a,2),70(a,1,2))]. 145 x / (y / ((z \ x) \ y)) = z. [para(70(a,2),70(a,1,2))]. 146 ((x / y) \ x) * z = y * z. [hyper(27,a,73,a)]. 147 (x / (1 * y)) \ x = y. [hyper(22,a,16,a,b,73,a(flip)),flip(a)]. 148 x * ((y / (x \ z)) \ y) = z. [para(73(a,2),19(a,1,2))]. 149 R(x,y,z) \ ((x * y) * z) = y * z. [para(35(a,2),73(a,1,1))]. 151 T(1,x) = 1. [para(125(a,2),60(a,1))]. 153 T(x,1) = x. [hyper(40,a,151,a)]. 157 x \ x != y | 1 = y. [para(139(a,2),82(a,1)),flip(b)]. 158 ((1 / x) * x) * y != z | y = z. [para(21(a,2),83(a,1,1))]. 159 x * (y * (y \ 1)) != z | z = x. [para(19(a,2),91(a,1,2))]. 160 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(62(a,1),35(a,2,1))]. 162 L(x \ 1,x,y) = (y * x) \ y. [para(64(a,1),33(a,2,2))]. 163 R(1 / x,x,y) = y / (x * y). [para(71(a,1),35(a,2,1))]. 164 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(72(a,1),29(a,2,1)),flip(a)]. 165 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(72(a,1),33(a,2,2))]. 166 T((x * y) / x,x) = y. [hyper(22,a,21,a(flip),b,127,a)]. 167 (x * T(y,x)) / x = y. [hyper(23,a,21,a,b,127,a(flip)),flip(a)]. 168 x \ (y * T(x,y)) = y. [hyper(22,a,19,a,b,127,a(flip)),flip(a)]. 169 (x \ y) * T(x,x \ y) = y. [para(127(a,2),19(a,1))]. 170 x * (y * (y \ T(z,x))) = z * x. [para(19(a,2),127(a,1,2))]. 171 x * T(y / x,x) = y. [para(127(a,2),21(a,1))]. 172 x * y != z | y * u != z | T(x,y) = u. [para(127(a,1),22(a,1)),flip(c)]. 173 x * y != z * x | T(z,x) = y. [para(127(a,1),24(a,1)),flip(a)]. 174 x * T(y,x) != z * x | z = y. [para(127(a,2),25(a,2)),flip(a)]. 177 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(127(a,1),31(a,2,1)),flip(a)]. 179 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(127(a,1),33(a,2,2,2)),flip(a)]. 181 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(127(a,1),35(a,2,2)),flip(a)]. 182 x * T(T(y,x),z) = T(y,z) * x. [para(43(a,1),127(a,1,2))]. 183 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(45(a,2),127(a,1,2))]. 184 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(47(a,2),127(a,1,2))]. 185 T(T(x / y,z),y) = T(y \ x,z). [para(129(a,1),43(a,1,1)),flip(a)]. 186 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(129(a,1),45(a,1,1)),flip(a)]. 187 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(129(a,1),47(a,1,1)),flip(a)]. 188 T(x / (x / y),x / y) = y. [para(129(a,2),73(a,1))]. 189 K(x \ 1,x) = (x \ 1) * x. [para(132(a,1),31(a,2))]. 190 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(132(a,1),33(a,2)),flip(a)]. 191 K(x,1 / x) = x * (1 / x). [para(133(a,1),31(a,2))]. 192 (1 / x) * (x * y) = L(y,x,1 / x). [para(133(a,1),33(a,2)),flip(a)]. 193 (x * y) * (y \ 1) = R(x,y,y \ 1). [para(135(a,1),35(a,2)),flip(a)]. 194 (x * (1 / y)) * y = R(x,1 / y,y). [para(136(a,1),35(a,2)),flip(a)]. 195 K(T(x,y),x) = 1. [hyper(41,a,137,a)]. 196 T(x,T(x,y)) = x. [hyper(40,a,137,a)]. 198 T(x,y) * x = x * T(x,y). [para(137(a,1),127(a,1,2)),flip(a)]. 199 x / T(y,y \ x) = y \ x. [para(19(a,1),144(a,1,1))]. 200 (T(x,y) * z) / T(T(x,z),y) = z. [para(43(a,1),144(a,1,2))]. 201 (x / (1 * y)) * y = x. [para(147(a,1),19(a,1,2))]. 202 T(T((x * y) / x,z),x) = T(y,z). [para(166(a,1),43(a,1,1)),flip(a)]. 203 K(x,(y * x) / y) = 1. [para(166(a,1),195(a,1,1))]. 205 (x * T(T(y,x),z)) / x = T(y,z). [para(43(a,1),167(a,1,1,2))]. 207 T(x,(y * x) / y) = x. [hyper(42,a,203,a)]. 209 x * L(y,z,u) != u * (z * y) | u * z = x. [para(33(a,2),94(a,1,2)),flip(b)]. 211 x != y | y / 1 = x. [para(17(a,1),96(a,1))]. 212 (x / y) \ x = y / 1. [hyper(211,a,73,a),flip(a)]. 213 x * (x \ y) = y / 1. [hyper(211,a,19,a),flip(a)]. 214 x / 1 = 1 * x. [hyper(211,a,16,a)]. 215 x / 1 != y | y = x. [para(214(a,2),82(a,1))]. 216 x / 1 != y | x = y. [para(214(a,2),83(a,1))]. 217 x / (y * (y \ 1)) != z | z = x. [para(19(a,2),215(a,1,2))]. 218 x / ((1 / y) * y) != z | z = x. [para(21(a,2),215(a,1,2))]. 219 (x / y) \ x != z | z = y. [para(212(a,2),215(a,1))]. 220 x * (x \ y) != z | z = y. [para(213(a,2),215(a,1))]. 222 x \ (x * y) != z | z = y. [para(20(a,1),219(a,1,1))]. 223 x \ (y * x) != z | T(y,x) = z. [para(144(a,1),219(a,1,1)),flip(b)]. 224 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(33(a,2),220(a,1,2)),flip(b)]. 225 x * T(y,x) != z | y * x = z. [para(37(a,2),220(a,1,2)),flip(b)]. 226 (x / y) * y != z | z = x. [para(73(a,1),220(a,1,2))]. 227 (x * (x \ 1)) \ y != z | z = y. [para(62(a,1),220(a,1))]. 228 ((1 / x) * x) \ y != z | z = y. [para(71(a,1),220(a,1))]. 229 x * y != z | y * T(x,y) = z. [para(168(a,1),220(a,1,2)),flip(b)]. 230 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(35(a,2),226(a,1,1)),flip(b)]. 231 x \ (y * (y \ x)) = 1. [para(17(a,1),65(a,1,2,2,2))]. 232 (x / y) \ (z * (z \ x)) = y. [para(21(a,1),65(a,1,2,2,2))]. 233 x \ ((x * y) * L(z,y,x)) = y * z. [para(33(a,2),65(a,1,2,2))]. 234 x * (x \ y) = y * 1. [para(231(a,1),19(a,1,2)),flip(a)]. 235 x * 1 != y * z | y \ x = z. [para(234(a,1),24(a,1))]. 237 (x / y) * y = x * 1. [para(73(a,1),234(a,1,2))]. 239 x * 1 != y * z | x / z = y. [para(237(a,1),25(a,1))]. 240 (x / y) * y = z * (z \ x). [para(237(a,2),234(a,2)),flip(a)]. 241 L(x \ (y \ z),x,y) = (y * x) \ z. [para(66(a,1),33(a,2,2))]. 242 x * (x \ (y * z)) = y * (u * (u \ z)). [para(65(a,1),66(a,1,2,2,2)),flip(a)]. 243 ((1 * x) / y) \ x = y. [para(74(a,1),131(a,1,2))]. 247 (x / y) * y = 1 * x. [para(63(a,1),76(a,1,1,1))]. 248 1 * x != y * z | x / z = y. [para(247(a,1),25(a,1))]. 249 (x / ((y / z) * z)) * y = x. [para(247(a,2),201(a,1,1,2))]. 250 (((x / y) * y) / z) \ x = z. [para(247(a,2),243(a,1,1,1))]. 251 ((x / y) * y) / z = x / z. [para(21(a,1),77(a,1,1,1,1))]. 253 R((x / y) / z,z,y) = x / (z * y). [para(78(a,1),35(a,2,1))]. 254 ((x / y) * y) * (x \ z) = z. [para(70(a,1),78(a,1,1,1,1))]. 255 x != y | z != y | z = x. [para(16(a,1),79(b,1))]. 256 (x * y) / y = z / (x \ z). [hyper(255,a,70,a,b,20,a)]. 257 x / (y \ x) = z * (z \ y). [hyper(255,a,70,a,b,19,a),flip(a)]. 258 (x * y) / y = (x / z) * z. [hyper(255,a,21,a,b,20,a)]. 259 x \ (x * y) = z * (z \ y). [hyper(255,a,19,a,b,18,a)]. 260 (x / (y * (y \ z))) * z = x. [hyper(226,a,97,a)]. 261 x * y != z * y | (z / u) * u = x. [para(98(a,1),25(a,2)),flip(b)]. 263 x * K(y \ x,y) = (y \ x) * y. [hyper(255,a,99,a(flip),b,104,a(flip)),flip(a)]. 264 x * K(y,x / y) = y * (x / y). [hyper(255,a,98,a(flip),b,104,a(flip)),flip(a)]. 265 (x * y) * z != y * x | K(y,x) = z. [para(104(a,1),24(a,1)),flip(a)]. 268 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(104(a,1),33(a,2,2,2)),flip(a)]. 269 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(104(a,1),35(a,2,1)),flip(a)]. 271 (x * y) / T(y * x,K(x,y)) = K(x,y). [para(104(a,1),144(a,1,1))]. 272 (x * y) \ (y * x) != z | K(y,x) = z. [para(104(a,1),222(a,1,2)),flip(b)]. 273 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(27,a,128,a)]. 274 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(26,a,128,a)]. 275 (x \ y) \ y = z * (z \ T(x,x \ y)). [hyper(255,a,19,a,b,128,a(flip))]. 276 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(128(a,1),43(a,1,1)),flip(a)]. 279 T(x,L(x,y,z)) = x. [hyper(40,a,138,a)]. 281 x / K(y,y \ x) = (y \ x) * y. [para(19(a,1),142(a,1,1))]. 282 ((x / y) \ x) * (y \ z) = z. [hyper(255,a,19,a(flip),b,146,a)]. 283 x * (((y / x) \ y) \ z) = z. [hyper(220,a,146,a)]. 284 ((x / y) \ x) * z != u | y \ u = z. [para(146(a,2),87(a,1))]. 285 (x / y) * ((z / y) \ z) = x. [para(73(a,1),148(a,1,2,1,2))]. 286 (x \ y) * z != y | T(x,x \ y) = z. [para(169(a,1),24(a,1)),flip(a)]. 288 T(x / (x / y),(z / (x / y)) \ z) = y. [para(73(a,2),188(a,1,2))]. 289 x * T(x \ 1,x) = K(x \ 1,x). [hyper(255,a,127,a,b,189,a),flip(a)]. 290 (x \ 1) \ K(x \ 1,x) = x. [hyper(87,a,189,a(flip))]. 293 (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). [para(189(a,2),35(a,2,1,1)),flip(a)]. 294 x \ K(x \ 1,x) = T(x \ 1,x). [para(189(a,2),37(a,2,2)),flip(a)]. 295 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(191(a,2),33(a,2,1)),flip(a)]. 297 x * (x \ y) != z * u | y / u = z. [para(232(a,1),94(a,1,2)),flip(a),flip(b)]. 298 x / (y \ ((x / z) * z)) = y. [hyper(23,a,148,a,b,240,a(flip))]. 300 R(x,y / z,z) * y = (x * (y / z)) * z. [para(35(a,2),249(a,1,1))]. 301 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(254(a,1),35(a,2,1))]. 302 (x / (y \ x)) * z != u | y * z = u. [para(256(a,1),226(a,1,1)),flip(b)]. 303 x / (y \ x) != z | z = y. [para(257(a,2),220(a,1))]. 304 (x * y) / y != z | z = x. [para(18(a,1),303(a,1,2))]. 306 x / x != y | 1 = y. [para(59(a,1),303(a,1,2)),flip(b)]. 307 (x * y) / y != z * u | x / u = z. [para(258(a,2),25(a,1))]. 308 ((x / y) * y) * z != u | x * z = u. [para(258(a,1),226(a,1,1)),flip(b)]. 310 x * (y * (y \ z)) != u | x * z = u. [para(259(a,1),220(a,1,2)),flip(b)]. 311 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(35(a,2),260(a,1,1))]. 315 (x \ 1) * x != y | K(x \ 1,x) = y. [para(290(a,1),220(a,1,2)),flip(b)]. 317 x * y != x * z | z = y. [para(17(a,1),85(a,1))]. 321 x \ (x * y) = L(y,1,x). [para(17(a,1),110(a,1,1))]. 322 L(x,1,y) = x. [hyper(222,a,321,a)]. 323 L(x,1,y) != z | z = x. [para(321(a,1),222(a,1))]. 325 L(1,x,y) = 1. [hyper(157,a,111,a),flip(a)]. 328 R(1,x,y) = 1. [hyper(306,a,117,a),flip(a)]. 331 (x * y) / y = R(x,1,y). [para(17(a,1),118(a,1,1,1))]. 332 R(x,1,y) = x. [hyper(304,a,331,a)]. 339 L(x \ 1,x,1 / x) = 1 / x. [hyper(255,a,133,a(flip),b,162,a)]. 340 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(26,a,162,a)]. 341 (x * y) * L(y \ 1,y,x) = x. [para(162(a,2),19(a,1,2))]. 342 L((x \ y) \ 1,x \ y,x) = y \ x. [para(19(a,1),162(a,2,1))]. 343 L(x \ 1,x,y / x) = y \ (y / x). [para(21(a,1),162(a,2,1))]. 344 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(162(a,1),45(a,2,1)),flip(a)]. 345 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(162(a,1),49(a,1,1))]. 346 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(162(a,1),50(a,1,1)),flip(a)]. 347 x / L(y \ 1,y,x) = x * y. [para(162(a,2),70(a,1,2))]. 348 R(1 / x,x,x \ 1) = x \ 1. [hyper(255,a,135,a(flip),b,163,a)]. 350 R(1 / x,x,x \ y) = (x \ y) / y. [para(19(a,1),163(a,2,2))]. 351 R(1 / (x / y),x / y,y) = y / x. [para(21(a,1),163(a,2,2))]. 352 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(163(a,1),47(a,2,1)),flip(a)]. 353 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(163(a,1),51(a,1,1)),flip(a)]. 354 R(1 / x,x,y) \ y = x * y. [para(163(a,2),73(a,1,1))]. 355 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(127(a,1),173(a,2))]. 358 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(43(a,1),174(a,1,2)),flip(b)]. 359 T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. [para(127(a,1),223(a,1,2))]. 360 T(x,x \ y) \ y != z | T(x \ y,T(x,x \ y)) = z. [para(169(a,1),223(a,1,2))]. 361 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(43(a,1),225(a,1,2))]. 362 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(45(a,2),225(a,1,2))]. 364 K(x \ 1,x) != y | (x \ 1) * x = y. [para(31(a,2),227(a,1)),flip(b)]. 365 K(x,1 / x) != y | x * (1 / x) = y. [para(31(a,2),228(a,1)),flip(b)]. 366 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(33(a,2),228(a,1)),flip(b)]. 367 x * (y * (y \ 1)) != z * u | z \ x = u. [para(19(a,2),235(a,1,2))]. 368 x * (x \ y) != z * u | z \ y = u. [para(234(a,2),235(a,1))]. 369 (x / y) * y != z * u | x / u = z. [para(237(a,2),239(a,1))]. 371 ((1 / x) * x) * y != z * u | y / u = z. [para(21(a,2),248(a,1,1))]. 372 L(T(x \ 1,y),x,1 / x) = T(1 / x,y). [para(339(a,1),45(a,2,1))]. 374 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(341(a,1),222(a,1,2)),flip(b)]. 375 x / L(y,1 / y,x) = x * (1 / y). [para(73(a,1),347(a,1,2,1))]. 376 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(347(a,1),282(a,1,1,1))]. 377 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(347(a,1),283(a,1,2,1,1))]. 378 R(T(1 / x,y),x,x \ 1) = T(x \ 1,y). [para(348(a,1),47(a,2,1))]. 379 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(70(a,1),354(a,1,1,1))]. 380 x / (y * x) != z | R(1 / y,y,x) = z. [para(354(a,1),303(a,1,2)),flip(b)]. 381 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(80,a,128,a,b,19,a)]. 382 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(80,a,33,a,b,133,a(flip))]. 383 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(80,a,33,a,b,132,a(flip))]. 385 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(81,a,35,a,b,135,a(flip))]. 386 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(81,a,162,a(flip),b,16,a)]. 387 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(18(a,1),105(a,2,1)),flip(a)]. 388 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(127(a,2),105(a,1,2))]. 390 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(189(a,2),106(a,1,1))]. 391 K(x,1 / x) \ 1 = K(1 / x,x). [para(191(a,2),108(a,1,1))]. 392 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(170(a,1),33(a,2,2))]. 393 T(x,y) * z != z * u | T(T(x,z),y) = u. [para(182(a,1),24(a,1))]. 394 x * T(x \ (y * x),z) = T(y,z) * x. [para(37(a,1),182(a,1,2,1))]. 396 T(x / y,z) * y = y * T(y \ x,z). [para(129(a,1),182(a,1,2,1)),flip(a)]. 397 T((x * y) / x,z) * x = x * T(y,z). [para(166(a,1),182(a,1,2,1)),flip(a)]. 398 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(128(a,1),182(a,1,2,1))]. 399 T(x / (x / y),z) * (x / y) = (x / y) * T(y,z). [para(188(a,1),182(a,1,2,1)),flip(a)]. 400 (x * T(x \ y,z)) / x = T(y / x,z). [para(185(a,1),167(a,1,1,2))]. 401 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(185(a,1),225(a,1,2))]. 404 (x * T(y,z)) / x = T((x * y) / x,z). [para(202(a,1),167(a,1,1,2))]. 405 T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). [para(128(a,1),202(a,1,1))]. 407 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(188(a,1),205(a,1,1,2,1))]. 408 (x \ y) * x != y * z | K(x \ y,x) = z. [para(263(a,1),24(a,1))]. 409 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(263(a,1),33(a,2,2,2)),flip(a)]. 410 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(263(a,1),222(a,1,2)),flip(b)]. 412 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(264(a,1),222(a,1,2)),flip(b)]. 415 (x * y) * L(z,y,x) != x * u | y * z = u. [para(33(a,2),88(a,1,2)),flip(b)]. 416 x \ (x * y) != z * u | y / u = z. [para(21(a,1),93(a,1,2,2)),flip(b)]. 417 (x * y) / L(z \ y,z,x) = x * z. [hyper(81,a,97,a(flip),b,112,a)]. 418 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(255,a,99,a(flip),b,112,a(flip)),flip(a)]. 419 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(255,a,98,a(flip),b,112,a(flip)),flip(a)]. 422 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(112(a,1),24(a,1)),flip(a)]. 424 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(112(a,1),33(a,2,2,2)),flip(a)]. 427 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(45(a,1),112(a,1,2))]. 428 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(49(a,2),112(a,1,2))]. 429 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(50(a,1),112(a,1,2))]. 430 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(127(a,1),112(a,1,1))]. 431 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(112(a,1),222(a,1,2)),flip(b)]. 433 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(189(a,2),112(a,1,1))]. 434 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(112(a,1),158(a,1))]. 435 L(x \ (y * x),x,y) = T(y,y * x). [hyper(255,a,37,a,b,114,a)]. 436 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(255,a,133,a(flip),b,114,a)]. 437 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(255,a,132,a(flip),b,114,a)]. 438 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(255,a,107,a(flip),b,114,a)]. 439 L((x \ y) \ z,x \ y,x) = y \ (x * z). [para(19(a,1),114(a,2,1))]. 440 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(21(a,1),114(a,2,1))]. 442 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(114(a,1),45(a,2,1)),flip(a)]. 443 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(127(a,1),114(a,2,1))]. 446 x / L(y \ z,y,x / z) = (x / z) * y. [para(114(a,2),298(a,1,2))]. 447 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(114(a,2),227(a,1)),flip(b)]. 448 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(112(a,1),114(a,2,1))]. 450 R(x / y,y,x \ z) \ z = y * (x \ z). [hyper(80,a,254,a(flip),b,122,a)]. 451 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(80,a,99,a(flip),b,122,a)]. 452 R(x / y,y,z) \ (x * z) = y * z. [hyper(80,a,98,a(flip),b,122,a)]. 454 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(122(a,1),25(a,1))]. 457 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(122(a,1),35(a,2,1,1)),flip(a)]. 459 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(47(a,1),122(a,1,1))]. 460 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(49(a,1),122(a,1,1))]. 461 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(51(a,1),122(a,1,1))]. 462 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(127(a,1),122(a,1,2))]. 464 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(104(a,1),122(a,1,2))]. 465 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(189(a,2),122(a,1,2))]. 466 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(122(a,1),304(a,1,1)),flip(b)]. 468 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(122(a,1),159(a,1)),flip(b)]. 470 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(122(a,1),122(a,1,2))]. 471 R(x / (1 / y),1 / y,y) = x * y. [hyper(255,a,136,a(flip),b,123,a)]. 472 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(255,a,135,a(flip),b,123,a)]. 473 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(19(a,1),123(a,2,2))]. 474 R(x / (y / z),y / z,z) = (x * z) / y. [para(21(a,1),123(a,2,2))]. 475 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(123(a,1),47(a,2,1)),flip(a)]. 476 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(123(a,2),129(a,1,1))]. 477 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(198(a,1),123(a,2,2))]. 479 R(x / (1 / y),1 / y,y) != z | x * y = z. [para(123(a,2),218(a,1)),flip(b)]. 483 (x * y) / L(z,y / z,x) = x * (y / z). [para(21(a,1),143(a,1,1,2))]. 484 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(127(a,1),143(a,1,1,2))]. 485 (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). [para(104(a,1),143(a,1,1,2))]. 487 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(104(a,1),149(a,1,2,1))]. 489 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(112(a,1),149(a,1,2,1))]. 490 K(x,1 / x) \ x = L(x,1 / x,x). [para(191(a,2),165(a,2,1)),flip(a)]. 491 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(80,a,50,a,b,190,a)]. 492 x \ R(L(y,x \ 1,x),z,u) = (x \ 1) * R(y,z,u). [hyper(80,a,49,a,b,190,a)]. 493 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(80,a,45,a(flip),b,190,a)]. 494 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [para(127(a,1),190(a,1,2)),flip(a)]. 495 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(80,a,50,a,b,192,a)]. 496 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(127(a,1),192(a,1,2)),flip(a)]. 497 (1 / x) \ L(y,x,1 / x) != z | x * y = z. [para(192(a,1),222(a,1,2)),flip(b)]. 498 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(81,a,49,a(flip),b,193,a)]. 499 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(80,a,193,a(flip),b,127,a)]. 501 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(81,a,51,a,b,194,a)]. 502 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(81,a,49,a(flip),b,194,a)]. 503 K(x,1 / x) * x = R(x,1 / x,x). [para(191(a,2),194(a,1,1))]. 505 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(241(a,1),45(a,2,1))]. 506 L(R(x \ (y \ z),u,w),x,y) = R((y * x) \ z,u,w). [para(241(a,1),49(a,1,1)),flip(a)]. 507 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(241(a,1),50(a,1,1)),flip(a)]. 514 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(259(a,1),297(a,1,2))]. 519 (x * (x \ y)) * z != u | y * z = u. [para(257(a,1),302(a,1,1))]. 520 (((x * y) / z) * z) / y != u * w | x / w = u. [para(21(a,2),307(a,1,1))]. 527 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(343(a,1),45(a,2,1)),flip(a)]. 528 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(350(a,1),47(a,2,1)),flip(a)]. 529 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(350(a,2),123(a,1,1))]. 530 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(19(a,2),368(a,1,2))]. 533 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(259(a,1),368(a,1,2))]. 534 (((x / y) / z) * z) * y != u * w | x / w = u. [para(21(a,2),369(a,1,1))]. 535 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(258(a,1),369(a,1,1))]. 537 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(383(a,1),220(a,1,2)),flip(b)]. 540 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(341(a,1),416(a,1,2))]. 542 L(T(x,y),y,x) = T(x,x * y). [para(37(a,2),435(a,1,1))]. 543 T(L(x,y,x),y) = T(x,x * y). [hyper(255,a,45,a(flip),b,542,a(flip)),flip(a)]. 544 L(T(T(x,y),z),y,x) = T(T(x,x * y),z). [para(542(a,1),45(a,2,1))]. 545 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(542(a,1),49(a,1,1)),flip(a)]. 546 L(L(T(x,y),z,u),y,x) = L(T(x,x * y),z,u). [para(542(a,1),50(a,1,1)),flip(a)]. 547 x * T(y,y * x) = L(y,x,y) * x. [para(543(a,1),127(a,1,2))]. 548 (x * T(y,y * x)) / x = L(y,x,y). [para(543(a,1),167(a,1,1,2))]. 550 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(436(a,1),45(a,2,1))]. 551 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(436(a,1),49(a,1,1)),flip(a)]. 552 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(437(a,1),45(a,2,1))]. 554 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(471(a,1),47(a,2,1))]. 555 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(472(a,1),47(a,2,1))]. 556 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(472(a,1),51(a,1,1)),flip(a)]. 557 K(x,1 / x) * L(x,1 / x,x) = x. [para(490(a,1),19(a,1,2))]. 559 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(19(a,1),547(a,1,2,2)),flip(a)]. 562 ((x \ y) * T(x,y)) / (x \ y) = L(x,x \ y,x). [para(19(a,1),548(a,1,1,2,2))]. 563 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(557(a,1),24(a,1)),flip(a)]. 564 T(x / y,(z / y) \ z) = y \ x. [hyper(172,a,285,a,b,282,a)]. 565 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(255,a,112,a(flip),b,183,a(flip)),flip(a)]. 566 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [hyper(80,a,183,a(flip),b,112,a(flip))]. 569 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(47(a,2),183(a,1,2,1))]. 570 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(129(a,1),183(a,1,2,1)),flip(a)]. 571 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(166(a,1),183(a,1,2,1)),flip(a)]. 572 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(128(a,1),183(a,1,2,1))]. 573 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(255,a,122,a(flip),b,184,a)]. 574 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(80,a,122,a(flip),b,184,a)]. 578 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(129(a,1),184(a,1,2,1)),flip(a)]. 580 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(166(a,1),184(a,1,2,1)),flip(a)]. 581 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(128(a,1),184(a,1,2,1))]. 582 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(188(a,1),184(a,1,2,1)),flip(a)]. 583 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(542(a,2),184(a,1,2,1))]. 585 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(186(a,1),167(a,1,1,2))]. 586 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(187(a,1),167(a,1,1,2))]. 587 T(x / (y * x),y) = R(y \ 1,y,x). [para(163(a,1),187(a,1,1))]. 588 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(123(a,1),187(a,1,1))]. 589 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(253(a,1),187(a,1,1)),flip(a)]. 590 T((x \ y) / y,x) = R(x \ 1,x,x \ y). [para(350(a,1),187(a,1,1))]. 591 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(351(a,1),187(a,1,1)),flip(a)]. 593 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(587(a,1),127(a,1,2)),flip(a)]. 594 x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. [para(587(a,1),225(a,1,2))]. 595 ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). [hyper(225,a,273,a),flip(a)]. 598 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(273(a,2),31(a,2,1)),flip(a)]. 599 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(273(a,2),33(a,2,1)),flip(a)]. 601 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(369,a,274,a),flip(a)]. 602 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(81,a,274,a,b,xx)]. 608 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(21(a,1),374(a,1,1))]. 609 K(x \ 1,x) \ (x \ 1) != y | L(x \ 1,x,x \ 1) = y. [para(189(a,2),374(a,1,1))]. 612 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(191(a,2),380(a,1,2))]. 613 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(381(a,2),199(a,1,2,2))]. 614 K(x \ (x * y),x) = K(y,x). [hyper(255,a,105,a(flip),b,387,a),flip(a)]. 615 K(x \ (x * y),z) = K(y,z). [para(61(a,1),614(a,1,1)),flip(a)]. 616 K((x / y) \ x,z) = K(y,z). [para(21(a,1),615(a,1,1,2))]. 618 T((x * y) / x,y * x) = L(y,x,y). [hyper(23,a,547,a(flip),b,397,a)]. 619 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(255,a,273,a(flip),b,397,a(flip)),flip(a)]. 620 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(397(a,1),304(a,1,1)),flip(b)]. 623 ((x * y) / x) * (y * x) = (y * x) * L(y,x,y). [para(618(a,1),127(a,1,2)),flip(a)]. 624 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(400(a,1),226(a,1,1)),flip(b)]. 626 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(404(a,2),127(a,1,2))]. 627 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(129(a,1),404(a,1,1,2)),flip(a)]. 628 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(404(a,1),226(a,1,1)),flip(b)]. 636 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(100(a,1),222(a,1,2)),flip(b)]. 639 L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). [para(127(a,1),115(a,1,2,2)),flip(a)]. 642 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(120(a,2),250(a,1,1))]. 647 x \ (K(x,1 / x) * x) = a(x,1 / x,x). [para(191(a,2),164(a,1,2,1))]. 648 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(194(a,1),164(a,1,2))]. 652 x * ((y * x) \ (y * (z * x))) = L(z,x,y) * x. [para(179(a,2),183(a,1,2))]. 653 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). [para(269(a,1),396(a,1,1,1)),flip(a)]. 654 L(R(x,y / z,z),u,w) * y = (L(x,u,w) * (y / z)) * z. [para(49(a,1),300(a,1,1))]. 655 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(49(a,1),311(a,1,1))]. 656 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(344(a,2),112(a,1,2))]. 659 T(x / (y * x),z) * (y * x) = (T(1 / y,z) * y) * x. [para(352(a,2),122(a,1,1))]. 660 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(128(a,1),358(a,1,2))]. 661 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(37(a,1),361(a,1,2,1))]. 662 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(255,a,129,a(flip),b,372,a)]. 663 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [hyper(80,a,372,a(flip),b,192,a)]. 664 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(173,a,376,a),flip(a)]. 665 T(x \ 1,y) / (x \ 1) = T(1 / x,y) * x. [hyper(81,a,378,a(flip),b,193,a)]. 666 K(x,y) = L(x \ T(x,y),x,y). [hyper(255,a,31,a,b,392,a),flip(a)]. 667 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(392(a,1),45(a,2,1))]. 669 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(127(a,2),410(a,1,2))]. 671 x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z). [hyper(80,a,183,a(flip),b,418,a(flip))]. 672 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(418(a,1),24(a,1))]. 673 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(50(a,1),418(a,1,2))]. 674 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(418(a,1),222(a,1,2)),flip(b)]. 675 L(x \ y,x,y / x) = T(y / x,y). [hyper(172,a,97,a(flip),b,419,a),flip(a)]. 677 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(439(a,1),45(a,2,1))]. 681 T(R(x / y,y,y \ z),z) = z \ (x * (y \ z)). [para(473(a,2),129(a,1,1))]. 682 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(474(a,1),47(a,2,1))]. 683 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(474(a,1),51(a,1,1)),flip(a)]. 686 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(484(a,1),219(a,1,1)),flip(b)]. 687 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(255,a,662,a(flip),b,496,a(flip))]. 688 (1 / x) \ (x \ 1) = (x \ 1) * x. [hyper(80,a,662,a(flip),b,496,a(flip))]. 689 x * ((1 / x) * (y * x)) = L(y,x,1 / x) * x. [para(496(a,1),183(a,1,2))]. 690 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(73(a,1),687(a,1,2,1))]. 691 (1 / x) * K(x \ 1,x) = x \ 1. [para(189(a,2),687(a,1,2))]. 692 (1 / x) \ (x \ 1) = K(x \ 1,x). [hyper(255,a,189,a,b,688,a)]. 693 K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1). [hyper(80,a,691,a(flip),b,140,a(flip)),flip(a)]. 694 (x \ 1) \ ((1 / x) * (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [para(691(a,1),33(a,2,1)),flip(a)]. 695 K(x \ 1,x) * y != x \ 1 | T(1 / x,K(x \ 1,x)) = y. [para(691(a,1),173(a,2))]. 696 (x \ 1) * L(y,K(x \ 1,x),1 / x) = (1 / x) * (K(x \ 1,x) * y). [para(691(a,1),112(a,1,1))]. 697 (x * (y \ 1)) / L(K(y \ 1,y),1 / y,x) = x * (1 / y). [para(691(a,1),143(a,1,1,2))]. 699 x / L(K(y \ 1,y),1 / y,x / (y \ 1)) = (x / (y \ 1)) * (1 / y). [para(692(a,1),446(a,1,2,1))]. 702 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(544(a,1),112(a,1,2))]. 703 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(18(a,1),588(a,2,1)),flip(a)]. 705 T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. [para(589(a,1),122(a,1,1))]. 706 T((x \ y) / y,x) * y = ((x \ 1) * x) * (x \ y). [para(590(a,2),311(a,1,1))]. 708 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(21(a,1),593(a,1,1,2)),flip(a)]. 709 R(x \ 1,x,y) \ ((y / (x * y)) * x) != z | T(x,R(x \ 1,x,y)) = z. [para(593(a,2),223(a,1,2))]. 710 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(593(a,1),272(a,1,1))]. 711 T(K(x,1 / x),x) = a(x,1 / x,x). [hyper(223,a,647,a)]. 714 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(703(a,2),127(a,1,2)),flip(a)]. 715 T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). [para(136(a,1),703(a,2,1)),flip(a)]. 716 T(R(x,y,x),y * x) = T(x,y). [para(703(a,2),202(a,1,1))]. 717 R(x,y,x) * (y * x) = (y * x) * T(x,y). [para(703(a,2),397(a,1,1))]. 718 R(T(x,y * x),y,x) = T(x,y). [hyper(255,a,47,a,b,716,a(flip)),flip(a)]. 721 R(T(x,y),y / x,x) = T(x,y / x). [para(21(a,1),718(a,1,1,2))]. 722 x * R(T(y,x * y),x,y) = y * x. [para(718(a,2),127(a,1,2))]. 724 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(718(a,1),122(a,1,1)),flip(a)]. 725 R(x,1 / x,x) = T(x,1 / x). [para(153(a,1),721(a,1,1))]. 726 T(x,1 / x) / x = K(x,1 / x). [hyper(81,a,725,a(flip),b,503,a)]. 727 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(725(a,1),51(a,1,1)),flip(a)]. 728 x \ T(x,1 / x) = a(x,1 / x,x). [para(725(a,1),648(a,1,2))]. 730 (x * y) * T(y,x) = (y * x) * y. [hyper(255,a,122,a(flip),b,717,a(flip))]. 732 ((x \ 1) * x) \ x = T(x,x \ 1). [hyper(80,a,62,a(flip),b,730,a)]. 733 K(x \ 1,x) \ x = T(x,x \ 1). [para(189(a,2),732(a,1,1))]. 734 K(x \ 1,x) \ x = (x \ 1) \ 1. [hyper(255,a,128,a(flip),b,733,a)]. 735 K(x \ 1,x) * ((x \ 1) \ 1) = x. [para(734(a,1),19(a,1,2))]. 736 K(x,1 / x) \ (1 / x) = ((1 / x) \ 1) \ 1. [para(73(a,1),734(a,1,1,1))]. 737 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(255,a,47,a,b,130,a),flip(a)]. 739 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(49(a,2),224(a,1,2))]. 757 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(263(a,1),454(a,2,2))]. 758 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(691(a,1),454(a,2,2))]. 759 x / (y * z) != u | R((x / z) / y,y,z) = u. [para(78(a,1),466(a,1,1))]. 761 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(189(a,2),537(a,1,2))]. 762 L(1 / x,x,y) * x = x * ((y * x) \ y). [hyper(255,a,340,a(flip),b,570,a)]. 763 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [hyper(81,a,340,a(flip),b,570,a)]. 764 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(342(a,1),570(a,2,2))]. 765 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(19(a,1),763(a,1,1,2,1))]. 767 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(96,a,571,a),flip(a)]. 768 L((x * (y \ 1)) / x,y,z) = (x * ((z * y) \ z)) / x. [hyper(81,a,340,a(flip),b,571,a),flip(a)]. 771 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(578(a,1),193(a,1,1))]. 772 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(269(a,1),578(a,1,1,1)),flip(a)]. 774 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(230,a,580,a)]. 775 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(96,a,580,a),flip(a)]. 777 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(81,a,580,a(flip),b,311,a(flip))]. 780 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(585(a,1),226(a,1,1)),flip(b)]. 782 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(241(a,1),585(a,1,1,2)),flip(a)]. 784 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(666(a,2),585(a,1,1,2)),flip(a)]. 787 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(73(a,1),586(a,1,1,2,1))]. 788 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(586(a,1),226(a,1,1)),flip(b)]. 789 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(129(a,1),626(a,1,2,1,2)),flip(a)]. 790 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(128(a,1),626(a,1,2,1,2))]. 791 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(627(a,1),167(a,1,1,2))]. 793 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(255,a,396,a(flip),b,665,a)]. 794 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(255,a,73,a(flip),b,690,a)]. 796 (1 / (1 / x)) * K(x,1 / x) = x. [para(191(a,2),794(a,1,2))]. 798 K(x,1 / x) \ (1 / x) = x \ 1. [para(73(a,1),736(a,2,1))]. 799 K(x,1 / x) * (x \ 1) = 1 / x. [para(798(a,1),19(a,1,2))]. 800 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(129(a,1),737(a,1,1,1)),flip(a)]. 801 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(767(a,2),226(a,1,1)),flip(b)]. 802 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(767(a,1),112(a,1,2))]. 803 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(343(a,1),767(a,2,1,2))]. 804 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(436(a,1),767(a,2,1,2))]. 805 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(437(a,1),767(a,2,1,2))]. 806 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(439(a,1),767(a,2,1,2))]. 808 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(163(a,1),775(a,2,1,2))]. 809 ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. [para(775(a,1),122(a,1,1))]. 810 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(253(a,1),775(a,2,1,2))]. 812 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(471(a,1),775(a,2,1,2))]. 813 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(472(a,1),775(a,2,1,2))]. 814 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(775(a,1),230(a,1,1))]. 818 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(255,a,404,a(flip),b,181,a(flip)),flip(a)]. 819 T(R(x,y,T(x,y)),x * y) = T(x,y). [para(181(a,1),166(a,1,1))]. 820 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(255,a,47,a,b,819,a(flip)),flip(a)]. 821 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(345(a,2),112(a,1,2))]. 823 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(339(a,1),346(a,1,1)),flip(a)]. 824 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(346(a,1),112(a,1,2))]. 826 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(19(a,1),823(a,1,1,1))]. 827 R(x / (y * x),z,u) * (y * x) = (R(1 / y,z,u) * y) * x. [para(353(a,1),122(a,1,1))]. 831 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(114(a,1),427(a,1,2,1))]. 832 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(241(a,1),427(a,1,2,1))]. 833 x * (y * T(y \ T(y,x),z)) = (x * y) * T(K(y,x),z). [para(666(a,2),427(a,1,2,1)),flip(a)]. 835 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [para(50(a,1),430(a,1,2))]. 836 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(345(a,2),430(a,1,2))]. 837 (x * y) * L((y * T(x,y)) \ y,z,u) = y * (T(x,y) * L(T(x,y) \ 1,z,u)). [para(346(a,1),430(a,1,2))]. 838 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(127(a,1),442(a,1,1,1)),flip(a)]. 839 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(442(a,2),224(a,1,2))]. 840 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(443(a,1),49(a,1,1)),flip(a)]. 841 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(443(a,1),50(a,1,1)),flip(a)]. 842 (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). [para(253(a,1),459(a,1,1,1)),flip(a)]. 843 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(820(a,1),462(a,1,1)),flip(a)]. 844 R(T((x * y) / x,z),x,y) * (x * y) = (x * y) * T(y,z). [para(475(a,1),397(a,1,1))]. 845 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(476(a,1),626(a,1,2,1,2)),flip(a)]. 846 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [para(476(a,1),737(a,2,1))]. 848 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(437(a,1),493(a,1,2,1)),flip(a)]. 849 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(505(a,1),224(a,1,2))]. 851 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(527(a,2),419(a,1,2)),flip(a)]. 852 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(528(a,2),311(a,1,1))]. 854 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(546(a,1),112(a,1,2))]. 855 (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). [hyper(366,a,550,a)]. 856 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(255,a,496,a(flip),b,550,a(flip)),flip(a)]. 857 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(80,a,550,a(flip),b,192,a)]. 858 T((1 / x) * (x * y),x) = (1 / x) * (y * x). [para(18(a,1),856(a,1,2,1)),flip(a)]. 859 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(255,a,494,a(flip),b,552,a(flip)),flip(a)]. 861 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(81,a,554,a(flip),b,194,a),flip(a)]. 862 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(81,a,555,a(flip),b,193,a)]. 864 ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). [para(196(a,1),562(a,1,1,2))]. 866 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(162(a,1),565(a,2,1)),flip(a)]. 870 T(x / y,y / x) * y = (((y / x) \ 1) * (y / x)) * x. [para(591(a,1),300(a,1,1))]. 872 L(((x * y) * x) / (x * y),y,x) = (y * x) / y. [hyper(23,a,571,a,b,623,a),flip(a)]. 874 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(665(a,2),624(a,1))]. 875 T(x / (x / y),z) * (x / y) != u | (x / y) * T(y,z) = u. [para(21(a,1),628(a,1,1,1,1))]. 878 x \ ((x / y) * ((y \ 1) * y)) = T(x \ (x / y),y). [hyper(255,a,527,a,b,639,a(flip))]. 880 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(342(a,1),671(a,1,2,1)),flip(a)]. 882 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(255,a,47,a,b,681,a(flip)),flip(a)]. 884 ((x * T(y,x * y)) * y) / (x * y) = y. [hyper(23,a,722,a(flip),b,714,a)]. 885 (x * T(y,x * y)) * y = y * (x * y). [para(884(a,1),21(a,1,1)),flip(a)]. 886 (x * (y * x)) / x = y * T(x,y * x). [para(884(a,1),77(a,1,1,1))]. 887 T(x * T(y,x * y),y) = x * y. [hyper(172,a,885,a,b,xx)]. 890 T((x / y) * T(y,(x / y) * y),y) = x. [hyper(255,a,21,a(flip),b,887,a)]. 891 x \ ((y * (x * y)) / y) != z | T(y,x * y) = z. [para(886(a,2),222(a,1,2)),flip(b)]. 892 T((x / y) * T(y,x),y) = x. [para(21(a,1),890(a,1,1,2,2))]. 893 T(x * T(x \ y,y),x \ y) = y. [para(70(a,1),892(a,1,1,1))]. 894 (x / y) * T(y,x) = (y * x) / y. [para(892(a,1),167(a,1,1,2)),flip(a)]. 895 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [para(893(a,1),167(a,1,1,2))]. 896 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(172,a,894,a,b,19,a),flip(a)]. 897 ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). [hyper(81,a,894,a(flip),b,127,a)]. 899 T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z. [para(894(a,1),223(a,1,2))]. 900 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(347(a,1),894(a,1,1)),flip(a)]. 901 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(375(a,1),894(a,1,1)),flip(a)]. 902 T(x,y * T(y \ x,x)) = x. [para(895(a,1),207(a,1,2))]. 903 T(x,(x * y) * L(T(y \ 1,x),y,x)) = x. [para(344(a,1),902(a,1,2,2))]. 904 T(x,x * (y * T(y \ 1,x))) = x. [para(112(a,1),903(a,1,2))]. 906 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(37(a,2),782(a,2,1,2))]. 907 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(177(a,1),782(a,2,1,2))]. 908 L(((x * y) * x) / (x * y),y,x) * y = y * x. [para(872(a,2),21(a,1,1))]. 909 (x \ (y * (z \ x))) * x = (T(y / z,x) * z) * (z \ x). [para(882(a,1),311(a,1,1))]. 910 (x * y) \ (x * ((((x * y) * x) / (x * y)) * y)) = x. [hyper(22,a,652,a,b,908,a(flip)),flip(a)]. 911 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [hyper(81,a,274,a(flip),b,399,a)]. 912 K((x * y) \ 1,x * y) \ ((((x * y) \ 1) * x) * y) != z | a((x * y) \ 1,x,y) = z. [para(189(a,2),636(a,1,1))]. 913 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [hyper(624,a,706,a),flip(a)]. 914 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(255,a,385,a,b,789,a(flip)),flip(a)]. 916 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(791(a,1),226(a,1,1)),flip(b)]. 919 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(476(a,1),800(a,1,1)),flip(a)]. 920 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(172,a,843,a,b,xx)]. 923 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(87,a,848,a)]. 924 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(17(a,1),848(a,2,2,1))]. 925 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(19(a,1),848(a,2,2,1))]. 926 T(1 / (x \ 1),y) * (x \ 1) = x \ T(x,y). [hyper(401,a,924,a)]. 927 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(255,a,398,a(flip),b,924,a(flip)),flip(a)]. 928 (x / y) \ T(x / y,y) = (y \ x) * ((x / y) \ 1). [para(129(a,1),927(a,1,1)),flip(a)]. 931 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(19(a,1),857(a,1,2,1)),flip(a)]. 935 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(624,a,861,a)]. 936 (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). [hyper(80,a,861,a(flip),b,396,a(flip))]. 937 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [para(16(a,1),861(a,2,1,1))]. 938 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(129(a,1),861(a,1,1)),flip(a)]. 939 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(624,a,937,a)]. 940 (1 / x) * T(x,y) = T(x,y) / x. [hyper(255,a,399,a(flip),b,937,a(flip)),flip(a)]. 941 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(81,a,937,a(flip),b,399,a(flip))]. 942 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(80,a,937,a(flip),b,399,a(flip))]. 943 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(937(a,1),624(a,1))]. 944 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(172,a,940,a,b,19,a),flip(a)]. 945 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(255,a,274,a(flip),b,940,a(flip))]. 946 T(x / y,y) / (x / y) = (1 / (x / y)) * (y \ x). [para(129(a,1),940(a,1,2)),flip(a)]. 948 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(940(a,1),618(a,1,2))]. 949 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(608,a,944,a)]. 950 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(128(a,1),945(a,1,1)),flip(a)]. 951 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(255,a,396,a(flip),b,862,a)]. 952 (x / y) * ((y \ 1) * y) = x * T(x \ (x / y),y). [para(878(a,1),19(a,1,2)),flip(a)]. 953 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(255,a,387,a,b,880,a),flip(a)]. 954 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(80,a,387,a,b,880,a),flip(a)]. 955 x * ((((x * y) * x) / (x * y)) * y) = (x * y) * x. [para(910(a,1),19(a,1,2)),flip(a)]. 956 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(189(a,2),913(a,1,1))]. 958 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(923(a,1),220(a,1,2)),flip(b)]. 959 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(81,a,925,a(flip),b,396,a)]. 960 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [para(129(a,1),928(a,1,2)),flip(a)]. 961 ((x * y) / x) \ (x \ (x * y)) = y * (((x * y) / x) \ 1). [para(18(a,1),960(a,1,1)),flip(a)]. 963 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(931(a,1),388(a,1,2))]. 965 (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). [para(21(a,1),936(a,1,2,1,1))]. 966 (1 / x) * T((1 / x) \ y,z) != u | T(y * x,z) / x = u. [para(936(a,1),220(a,1,2)),flip(b)]. 967 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(21(a,1),938(a,1,1,1)),flip(a)]. 968 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [para(129(a,1),946(a,1,1)),flip(a)]. 969 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(172,a,968,a,b,19,a),flip(a)]. 970 ((x / y) \ x) / (x / (x / y)) = (1 / (x / (x / y))) * y. [para(73(a,1),968(a,1,2)),flip(a)]. 972 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(255,a,848,a(flip),b,951,a)]. 973 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(951(a,1),21(a,1,1))]. 974 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(189(a,2),952(a,1,2))]. 975 T(x,x * K(y,x)) = x. [para(953(a,2),904(a,1,2,2))]. 978 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(162(a,2),954(a,1,1,1))]. 979 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). [para(954(a,1),793(a,1,1))]. 980 (((x * y) * x) / (x * y)) * y = T(x * y,x). [hyper(173,a,955,a),flip(a)]. 981 ((x * y) * x) / (x * y) = T(x * y,x) / y. [hyper(96,a,980,a),flip(a)]. 982 T(T(x * y,x) / y,x * y) = x. [para(981(a,1),166(a,1,1))]. 983 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(981(a,1),818(a,1,1))]. 984 T(T(x,x / y) / y,(x / y) * y) = x / y. [para(21(a,1),982(a,1,1,1,1))]. 985 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(193(a,1),982(a,1,1,1,1))]. 986 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(255,a,129,a(flip),b,983,a(flip)),flip(a)]. 987 x * R(y,x,T(y,x)) = T(y * x,y). [para(983(a,1),171(a,1,2))]. 988 T(T(x,x / y) / y,x) = x / y. [para(21(a,1),984(a,1,2))]. 989 T(x,x / y) / y = (x * (x / y)) / x. [para(988(a,1),167(a,1,1,2)),flip(a)]. 990 T(x \ T(y,y / x),y) = T(y / x,x). [para(988(a,1),185(a,1,1)),flip(a)]. 991 ((x * (x / y)) / x) * y = T(x,x / y). [para(989(a,1),21(a,1,1))]. 992 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(989(a,1),226(a,1,1)),flip(b)]. 993 T(x \ T(y,y / x),y) = x \ y. [hyper(255,a,129,a(flip),b,990,a)]. 994 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(70(a,1),993(a,1,1,2,2))]. 995 x \ T(y,y / x) = (y * (x \ y)) / y. [para(993(a,1),167(a,1,1,2)),flip(a)]. 996 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(255,a,789,a(flip),b,991,a(flip)),flip(a)]. 997 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(995(a,1),220(a,1,2)),flip(b)]. 998 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(73(a,1),996(a,1,2,1,2))]. 999 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(782(a,2),996(a,1,2))]. 1000 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(167(a,1),998(a,1,2)),flip(a)]. 1002 K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(967(a,1),106(a,1,1)),flip(a)]. 1003 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(940(a,1),295(a,1,2,2))]. 1005 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(241(a,1),428(a,1,2,1))]. 1007 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(114(a,1),429(a,1,2,1))]. 1008 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(241(a,1),429(a,1,2,1))]. 1009 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(255,a,97,a(flip),b,433,a)]. 1011 L(x / (y * x),z,u) * (y * x) = (L(1 / y,z,u) * y) * x. [para(163(a,1),460(a,1,1,1))]. 1012 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(123(a,1),460(a,1,1,1))]. 1013 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(253(a,1),460(a,1,1,1)),flip(a)]. 1014 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(123(a,1),461(a,1,1,1))]. 1015 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(927(a,1),487(a,1,1,1))]. 1016 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(491(a,2),24(a,1))]. 1017 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(437(a,1),491(a,1,2,1)),flip(a)]. 1018 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(437(a,1),492(a,1,2,1)),flip(a)]. 1020 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(339(a,1),495(a,1,2,1))]. 1022 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(662(a,1),495(a,1,2,1))]. 1023 L(x \ 1,y,z) / (x \ 1) = L(1 / x,y,z) * x. [para(348(a,1),498(a,1,1,1))]. 1024 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(472(a,1),498(a,1,1,1))]. 1025 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [hyper(255,a,762,a(flip),b,1023,a)]. 1026 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(1025(a,1),21(a,1,1))]. 1027 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [para(1025(a,1),73(a,1,1))]. 1028 ((x * y) \ x) / (y \ 1) = y * ((x * y) \ x). [para(162(a,1),1025(a,1,1))]. 1029 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [para(1028(a,1),21(a,1,1))]. 1030 ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). [para(1029(a,1),104(a,1,1))]. 1032 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1026(a,1),31(a,2,1)),flip(a)]. 1033 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(19(a,1),1027(a,1,1,2,1))]. 1034 R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. [para(501(a,2),25(a,1))]. 1035 R(1 / (1 / x),y,z) * (1 / x) = R(x / 1,y,z) / x. [para(351(a,1),501(a,1,1,1)),flip(a)]. 1037 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(725(a,1),502(a,1,1,1))]. 1038 T(L(x,y,z),1 / x) / x = L(x,y,z) * (1 / x). [para(45(a,1),1037(a,1,1))]. 1039 (1 / x) \ (L(x,y,z) / x) = L(x,y,z). [hyper(23,a,967,a,b,1038,a(flip)),flip(a)]. 1040 (1 / x) * L(x,y,z) = L(x,y,z) / x. [para(1039(a,1),19(a,1,2))]. 1041 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [para(1039(a,1),70(a,1,2))]. 1044 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1040(a,1),114(a,2,1))]. 1045 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(1040(a,1),618(a,1,2))]. 1047 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(506(a,1),433(a,1,2))]. 1048 (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. [para(507(a,1),224(a,1,2))]. 1049 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(507(a,1),433(a,1,2))]. 1050 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(366,a,551,a)]. 1051 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(677(a,1),418(a,1,2)),flip(a)]. 1052 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(682(a,1),300(a,1,1)),flip(a)]. 1053 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(768(a,1),112(a,1,2))]. 1054 (x * y) * ((z * ((x * y) \ x)) / z) != u | x * (y * ((z * (y \ 1)) / z)) = u. [para(768(a,1),224(a,1,2))]. 1055 (x * y) * L((x * (y \ 1)) / x,y,x) = T(x,x / (x * y)). [para(768(a,2),996(a,1,2))]. 1056 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(350(a,1),777(a,1,1,2))]. 1059 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(808(a,1),122(a,1,1))]. 1061 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(18(a,1),919(a,1,1,1)),flip(a)]. 1062 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(978(a,2),377(a,1,2)),flip(a)]. 1063 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(224,a,999,a)]. 1064 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(1009(a,1),24(a,1)),flip(a)]. 1068 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(545(a,1),569(a,1,2))]. 1069 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(22,a,184,a,b,581,a),flip(a)]. 1072 (x * y) * T((x * y) \ y,z) = (T(1 / x,z) * x) * y. [hyper(624,a,659,a)]. 1073 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(361,a,702,a),flip(a)]. 1074 T(x,y) * (x * z) = x * (T(x,y) * z). [para(182(a,1),1073(a,1,2)),flip(a)]. 1075 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(533,a,1074,a)]. 1076 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(530,a,1074,a),flip(a)]. 1077 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(514,a,1074,a)]. 1078 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(310,a,1074,a),flip(a)]. 1079 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(255,a,97,a(flip),b,1074,a)]. 1080 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(172,a,1074,a,b,242,a)]. 1081 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(80,a,97,a(flip),b,1074,a)]. 1082 x * (T(x,y) \ (x \ z)) = T(x,y) \ z. [hyper(80,a,66,a(flip),b,1074,a),flip(a)]. 1083 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(80,a,64,a(flip),b,1074,a),flip(a)]. 1084 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(21(a,1),1074(a,1,2)),flip(a)]. 1086 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(127(a,1),1074(a,1,2)),flip(a)]. 1087 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(129(a,1),1074(a,1,1)),flip(a)]. 1089 (T(x,y) \ 1) \ (T(x,y) \ x) = T(x,T(x,y) \ 1). [hyper(172,a,1083,a,b,19,a),flip(a)]. 1090 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(96,a,1083,a)]. 1091 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(87,a,1083,a)]. 1092 T(x / y,y) \ (x / y) = (x / y) * ((y \ x) \ 1). [para(129(a,1),1083(a,1,2,1)),flip(a)]. 1093 x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z. [para(1083(a,1),222(a,1,2)),flip(b)]. 1095 L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). [para(1083(a,1),192(a,1,2)),flip(a)]. 1096 T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). [para(1083(a,1),858(a,1,1,2))]. 1097 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(1090(a,1),959(a,2,1))]. 1098 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(87,a,1076,a)]. 1099 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(1077(a,1),89(a,1,1)),flip(a),flip(b)]. 1100 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(355,a,1079,a),flip(a)]. 1101 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(22,a,418,a,b,1079,a)]. 1102 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(22,a,264,a,b,1079,a)]. 1103 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(1079(a,1),222(a,1,2)),flip(b)]. 1104 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(129(a,1),1100(a,1,2,1))]. 1105 T(x,x \ y) \ (x * z) = x * (((x \ y) \ y) \ z). [para(128(a,1),1081(a,2,2,1))]. 1106 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(1098(a,2),220(a,1,2)),flip(b)]. 1107 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(1098(a,1),297(a,1,2))]. 1108 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(172,a,724,a,b,1086,a)]. 1109 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(22,a,418,a,b,1086,a)]. 1111 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(1097(a,1),21(a,1,1))]. 1112 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(129(a,1),1104(a,2,2))]. 1113 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(18(a,1),1112(a,1,2,1))]. 1115 T(x,y) = ((x * y) / x) * (y \ x). [para(18(a,1),1113(a,2,2)),flip(a)]. 1116 T(x,y) / (y \ x) = (x * y) / x. [hyper(81,a,1115,a,b,xx)]. 1117 ((x * y) / x) \ T(x,y) = y \ x. [hyper(80,a,1115,a,b,xx)]. 1118 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(21(a,1),1115(a,2,1,1)),flip(a)]. 1120 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(354(a,1),1115(a,2,2)),flip(a)]. 1121 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(379(a,1),1115(a,2,2)),flip(a)]. 1125 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(81,a,166,a(flip),b,1118,a),flip(a)]. 1128 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(1100(a,1),1106(a,1))]. 1130 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(396(a,1),1084(a,1,2))]. 1131 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [para(129(a,1),1092(a,1,1)),flip(a)]. 1132 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(255,a,950,a(flip),b,1131,a(flip)),flip(a)]. 1133 (x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1). [para(18(a,1),1131(a,1,2,1)),flip(a)]. 1134 ((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1). [para(73(a,1),1131(a,1,2,1)),flip(a)]. 1135 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(944(a,1),1102(a,1,2))]. 1138 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(624,a,705,a)]. 1140 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(87,a,851,a)]. 1141 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(624,a,852,a),flip(a)]. 1142 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(408,a,866,a)]. 1143 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(81,a,1142,a,b,396,a)]. 1144 (((x / y) \ 1) * (x / y)) * y = x * T(x \ y,x / y). [hyper(624,a,870,a),flip(a)]. 1145 (x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x). [para(396(a,1),909(a,2,1))]. 1146 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [para(18(a,1),961(a,1,2)),flip(a)]. 1148 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(407(a,1),1146(a,1,2,1)),flip(a)]. 1149 (1 / (x / (x / y))) * y = y / (x / (x / y)). [para(73(a,1),970(a,1,1)),flip(a)]. 1150 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(17(a,1),1017(a,2,2,1))]. 1153 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(255,a,572,a(flip),b,1150,a(flip)),flip(a)]. 1154 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(80,a,1150,a(flip),b,572,a(flip))]. 1155 L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [para(1153(a,1),593(a,1,1,2)),flip(a)]. 1157 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(342(a,1),1154(a,1,1))]. 1158 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(17(a,1),1018(a,2,2,1))]. 1159 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(255,a,581,a(flip),b,1158,a(flip)),flip(a)]. 1160 (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). [hyper(81,a,1158,a(flip),b,581,a(flip))]. 1161 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(80,a,1158,a(flip),b,581,a(flip))]. 1162 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(81,a,1159,a(flip),b,184,a)]. 1164 R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [para(1159(a,1),593(a,1,1,2)),flip(a)]. 1165 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1159(a,1),627(a,2,1))]. 1168 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(255,a,183,a(flip),b,1022,a)]. 1169 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(342(a,1),1168(a,1,2)),flip(a)]. 1170 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(255,a,570,a(flip),b,1024,a)]. 1171 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [para(68(a,1),1035(a,2,1,1))]. 1172 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(788,a,1171,a)]. 1173 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(255,a,582,a(flip),b,1171,a(flip)),flip(a)]. 1174 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [hyper(302,a,1173,a),flip(a)]. 1175 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(172,a,1173,a,b,19,a),flip(a)]. 1176 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1173(a,1),173(a,2)),flip(a)]. 1177 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1173(a,1),114(a,2,1))]. 1178 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1175(a,1),642(a,1,1,2))]. 1179 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(17(a,1),1050(a,2,1))]. 1180 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(87,a,1179,a)]. 1181 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(80,a,351,a(flip),b,1179,a),flip(a)]. 1184 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(593(a,2),1179(a,1,2))]. 1185 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(255,a,163,a(flip),b,1184,a)]. 1186 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(172,a,1185,a,b,19,a),flip(a)]. 1189 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(255,a,789,a(flip),b,1056,a)]. 1190 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(396(a,1),1072(a,2,1))]. 1191 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(129(a,1),1087(a,1,2,1))]. 1192 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(166(a,1),1087(a,1,2,1)),flip(a)]. 1193 (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). [hyper(533,a,1191,a)]. 1194 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [para(18(a,1),1133(a,1,1)),flip(a)]. 1195 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [para(73(a,1),1134(a,1,1)),flip(a)]. 1196 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(255,a,968,a(flip),b,1195,a(flip)),flip(a)]. 1197 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [hyper(255,a,656,a(flip),b,1138,a(flip))]. 1199 ((x \ R(1 / y,y,x)) * x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(163(a,2),1197(a,1,1,1,2))]. 1200 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(669,a,1140,a)]. 1201 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(80,a,388,a(flip),b,1140,a(flip))]. 1203 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(255,a,939,a(flip),b,1200,a)]. 1204 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(255,a,924,a(flip),b,1200,a)]. 1205 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(81,a,1200,a,b,396,a)]. 1206 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(944(a,1),1200(a,1,1))]. 1207 T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x). [para(1200(a,2),1086(a,1,2)),flip(a)]. 1209 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1116(a,1),1201(a,1,2,1,2))]. 1210 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(1203(a,2),21(a,1,1)),flip(a)]. 1211 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(587(a,1),1203(a,2,1))]. 1212 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(969(a,1),1203(a,1,1))]. 1213 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(129(a,1),1204(a,2,2))]. 1214 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(166(a,1),1204(a,2,2))]. 1215 K(R(x \ 1,y,z) \ (x * R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(1174(a,1),1204(a,1,1,2))]. 1217 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(1161(a,1),1213(a,2,2))]. 1218 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(396(a,1),1141(a,1,1))]. 1219 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(926(a,1),1141(a,1,1))]. 1220 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(189(a,2),1144(a,1,1))]. 1226 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(73(a,1),1170(a,1,1,1,2))]. 1227 T(x,x * T(x \ 1,y)) = x. [hyper(172,a,656,a(flip),b,1190,a(flip))]. 1228 T(x,(x \ 1) * x) = x. [para(127(a,1),1227(a,1,2))]. 1229 T(x,K(x \ 1,x)) = x. [para(289(a,1),1227(a,1,2))]. 1230 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1227(a,1),721(a,1,1))]. 1231 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(398(a,1),1227(a,1,2))]. 1232 T(x \ 1,x \ T(x,y)) = x \ 1. [para(924(a,1),1227(a,1,2))]. 1233 T(1 / x,T(x,y) / x) = 1 / x. [para(939(a,1),1227(a,1,2))]. 1234 R(x,x \ 1,x) = T(x,x \ 1). [para(1228(a,1),718(a,1,1))]. 1235 K(x \ 1,x) * x = x * K(x \ 1,x). [para(1229(a,1),127(a,1,2))]. 1237 T(x,x \ 1) \ x = (x \ 1) * x. [para(1234(a,1),379(a,1,1))]. 1239 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(40,a,1232,a)]. 1240 (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). [para(1232(a,1),127(a,1,2))]. 1241 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1233(a,1),404(a,1,1,2)),flip(a)]. 1242 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(172,a,1237,a(flip),b,1083,a),flip(a)]. 1246 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [hyper(360,a,1242,a)]. 1247 1 / T(x \ 1,x) = T(x,x \ 1). [para(1242(a,1),70(a,1,2))]. 1248 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(128(a,1),1242(a,1,1)),flip(a)]. 1249 T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. [para(564(a,1),1242(a,1,1)),flip(a)]. 1251 T(x \ 1,(x \ 1) \ 1) = T(x \ 1,x). [hyper(255,a,128,a,b,1248,a),flip(a)]. 1252 T((x \ 1) \ 1,x \ 1) = T(x \ 1,x) \ 1. [para(1248(a,2),1248(a,2,1))]. 1253 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1231(a,1),718(a,1,1))]. 1254 (x * K(x \ 1,x)) / (x * x) = R(x \ 1,x,x). [para(1235(a,1),293(a,1,1))]. 1255 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1239(a,1),667(a,1,1)),flip(a)]. 1256 T(x,1 / x) = (x \ 1) \ 1. [para(73(a,1),1249(a,1,1))]. 1257 T(x,1 / x) = T(x,x \ 1). [hyper(255,a,128,a,b,1256,a)]. 1258 R(x,1 / x,x) = (x \ 1) \ 1. [hyper(255,a,725,a,b,1256,a(flip)),flip(a)]. 1259 ((1 / x) * ((x \ 1) \ 1)) / (1 / x) = x. [para(1256(a,1),167(a,1,1,2))]. 1260 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1256(a,1),726(a,1,1))]. 1261 a(x,1 / x,x) = x \ ((x \ 1) \ 1). [para(1256(a,1),728(a,1,2)),flip(a)]. 1262 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1256(a,1),1037(a,1,1,1))]. 1263 L(T(x,x \ 1),1 / x,x) = T(x,x * (1 / x)). [para(1257(a,1),542(a,1,1))]. 1264 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1257(a,1),404(a,1,1,2))]. 1265 T(x,x \ 1) / x = K(x,1 / x). [para(1257(a,1),726(a,1,1))]. 1266 x \ T(x,x \ 1) = a(x,1 / x,x). [para(1257(a,1),728(a,1,2))]. 1267 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1257(a,1),727(a,2,1))]. 1268 K(x,1 / x) * x = (x \ 1) \ 1. [hyper(255,a,503,a,b,1258,a(flip)),flip(a)]. 1269 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(255,a,1132,a(flip),b,1260,a(flip)),flip(a)]. 1270 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(73(a,1),1260(a,1,1,1)),flip(a)]. 1272 (1 / x) / K(x,1 / x) = x \ 1. [para(1269(a,1),70(a,1,2))]. 1273 R(1 / x,x,1 / x) = x \ 1. [hyper(612,a,1272,a)]. 1274 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1273(a,1),353(a,1,1)),flip(a)]. 1275 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1274(a,1),149(a,1,1))]. 1276 L(T(x,x \ 1),1 / x,x) = T(x,K(x,1 / x)). [para(191(a,2),1263(a,2,2))]. 1277 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1267(a,1),648(a,1,2))]. 1278 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(73(a,1),1262(a,1,1,1,1)),flip(a)]. 1280 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(620,a,1264,a),flip(a)]. 1281 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(167(a,1),1280(a,1,1)),flip(a)]. 1282 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(255,a,666,a,b,1255,a),flip(a)]. 1283 T(K(x,y),x \ 1) = K(x,y). [para(31(a,2),1282(a,2,1)),flip(a)]. 1284 T(x \ 1,K(x,y)) = x \ 1. [hyper(40,a,1283,a)]. 1286 (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. [para(1283(a,1),225(a,1,2))]. 1288 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1284(a,1),398(a,1,2)),flip(a)]. 1289 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. [para(1214(a,2),128(a,1,2))]. 1290 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(407(a,1),1214(a,1,1,2,2,1))]. 1291 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1218(a,1),304(a,1,1)),flip(b)]. 1292 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(255,a,394,a(flip),b,1220,a)]. 1294 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(167(a,1),1281(a,1,1)),flip(a)]. 1295 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(255,a,19,a(flip),b,1288,a)]. 1297 T(x,K(x \ 1,y)) = x. [hyper(94,a,1295,a)]. 1298 T(1 / x,K(x,y)) = 1 / x. [para(73(a,1),1297(a,1,2,1))]. 1300 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1298(a,1),682(a,1,1)),flip(a)]. 1301 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(255,a,428,a(flip),b,583,a(flip)),flip(a)]. 1302 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(184(a,1),1301(a,1,2)),flip(a)]. 1305 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(310,a,1302,a),flip(a)]. 1317 R(x,y,x) * (x \ (y * x)) = T(x * y,x). [hyper(172,a,122,a(flip),b,1305,a),flip(a)]. 1318 R(x,y,x) * T(y,x) = T(x * y,x). [para(37(a,2),1317(a,1,2))]. 1319 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(87,a,1318,a)]. 1322 (L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * y. [para(474(a,1),654(a,1,1,1)),flip(a)]. 1323 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(350(a,1),655(a,1,1,1))]. 1324 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(439(a,1),673(a,1,2,1)),flip(a)]. 1326 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(683(a,1),300(a,1,1)),flip(a)]. 1331 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(114(a,1),802(a,1,2,1,2))]. 1332 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(241(a,1),802(a,1,2,1,2))]. 1333 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(803(a,1),419(a,1,2)),flip(a)]. 1334 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(80,a,804,a(flip),b,192,a)]. 1335 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(80,a,805,a(flip),b,190,a),flip(a)]. 1336 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(81,a,812,a(flip),b,194,a),flip(a)]. 1337 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(838(a,1),430(a,1,2))]. 1338 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(230,a,844,a)]. 1339 (x * T(y,z)) * y = (x * y) * T(y,z). [para(397(a,1),1338(a,1,1))]. 1340 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(535,a,1339,a)]. 1341 (1 / T(x,y)) * x = x / T(x,y). [hyper(371,a,1339,a),flip(a)]. 1342 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(308,a,1339,a),flip(a)]. 1343 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(255,a,98,a(flip),b,1339,a)]. 1344 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(87,a,1339,a)]. 1345 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(81,a,98,a(flip),b,1339,a)]. 1346 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(81,a,78,a(flip),b,1339,a),flip(a)]. 1347 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [hyper(80,a,98,a(flip),b,1339,a)]. 1348 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(129(a,1),1339(a,1,1,2)),flip(a)]. 1349 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(87,a,1341,a)]. 1350 (1 / T(x,y)) * x != z | x / T(x,y) = z. [para(1349(a,1),220(a,1,2)),flip(b)]. 1351 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1349(a,1),965(a,2,1))]. 1352 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1349(a,1),967(a,1,1)),flip(a)]. 1353 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1340(a,2),173(a,2)),flip(a)]. 1354 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1000(a,2),1342(a,1,1))]. 1355 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1344(a,1),1061(a,1,1)),flip(a)]. 1357 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [para(1351(a,1),70(a,1,2))]. 1358 T((T(x,y) / T(x,z)) * T(x,z),u) / T(x,z) = (1 / T(x,z)) * T(T(x,y),u). [para(1351(a,1),935(a,1,2,1)),flip(a)]. 1359 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1354(a,1),1086(a,1,2)),flip(a)]. 1360 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1294(a,1),1352(a,1,1))]. 1361 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(96,a,1359,a),flip(a)]. 1362 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1360(a,1),1346(a,1,1,1))]. 1363 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(255,a,1000,a(flip),b,1361,a(flip))]. 1364 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(759,a,1363,a)]. 1365 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(129(a,1),1348(a,1,2))]. 1366 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(166(a,1),1348(a,1,2)),flip(a)]. 1367 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(535,a,1365,a)]. 1368 ((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y). [hyper(534,a,1365,a),flip(a)]. 1370 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [para(846(a,1),573(a,1,2))]. 1371 T(x,y) / x != z | (1 / x) * T(x,y) = z. [para(937(a,1),875(a,1))]. 1375 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(255,a,404,a(flip),b,906,a)]. 1376 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(1075(a,1),907(a,1,1,1))]. 1378 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(224,a,1055,a)]. 1379 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(80,a,1055,a(flip),b,112,a(flip))]. 1381 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(81,a,1379,a(flip),b,927,a)]. 1382 (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). [para(1159(a,1),1381(a,1,1,2,1))]. 1384 T((1 * x) / y,K(y / x,z)) = x / y. [hyper(255,a,351,a(flip),b,1300,a)]. 1385 T(x / y,K(y / x,z)) = x / y. [para(16(a,1),1384(a,1,1,1))]. 1386 T(x \ y,K(x / y,z)) = T(y / x,x). [para(1385(a,1),185(a,1,1)),flip(a)]. 1387 T(x \ y,K(x / y,z)) = x \ y. [hyper(255,a,129,a(flip),b,1386,a)]. 1390 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(619(a,2),24(a,1))]. 1391 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(114(a,1),739(a,1,2,1))]. 1392 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(255,a,1194,a(flip),b,790,a)]. 1394 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(112(a,1),821(a,1,1))]. 1396 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(826(a,1),1153(a,1,1)),flip(a)]. 1397 (x * y) * R((x * y) \ y,z,u) = (R(1 / x,z,u) * x) * y. [hyper(788,a,827,a)]. 1398 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [hyper(255,a,1138,a(flip),b,831,a(flip)),flip(a)]. 1399 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(19(a,1),1398(a,1,1,1,2,1)),flip(a)]. 1402 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(956(a,2),1399(a,1,2)),flip(a)]. 1403 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(67(a,1),1402(a,1,1,1,2)),flip(a)]. 1405 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(189(a,2),1403(a,2,1))]. 1406 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(18(a,1),1405(a,1,2,2)),flip(a)]. 1407 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(37(a,2),1405(a,1,2,2))]. 1408 K(x \ 1,x) * y != x * (K(x \ 1,x) * z) | x * z = y. [para(1406(a,1),24(a,1)),flip(a)]. 1409 x * (K(x \ 1,x) * (x \ y)) != z | K(x \ 1,x) * y = z. [para(1406(a,1),310(a,1))]. 1410 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1406(a,1),179(a,1,2))]. 1411 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(255,a,1190,a(flip),b,832,a(flip))]. 1412 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(127(a,1),1411(a,1,2)),flip(a)]. 1413 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(229,a,1412,a)]. 1414 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(96,a,1412,a)]. 1415 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1161(a,1),1414(a,1,1,2,1))]. 1416 (T((x / y) / z,u) * z) * y = (z * y) * T((z * y) \ x,u). [hyper(255,a,396,a(flip),b,842,a)]. 1417 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(362,a,854,a),flip(a)]. 1418 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(183(a,1),1417(a,1,2)),flip(a)]. 1422 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(87,a,1418,a)]. 1423 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(80,a,97,a(flip),b,1418,a)]. 1426 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(80,a,1418,a(flip),b,104,a)]. 1437 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1422(a,1),1375(a,1,1,1)),flip(a)]. 1439 T(1 / (1 / x),x \ 1) = x. [hyper(255,a,1259,a(flip),b,911,a(flip))]. 1440 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1439(a,1),43(a,1,1)),flip(a)]. 1441 T(1 / (1 / (1 / x)),x) = 1 / x. [para(73(a,1),1439(a,1,2))]. 1442 (1 / (1 / x)) * (x \ 1) = (x \ 1) * x. [para(1439(a,1),127(a,1,2)),flip(a)]. 1443 T(x,x \ 1) / x = K(x,x \ 1). [para(1439(a,1),1212(a,1,1)),flip(a)]. 1444 (1 / (1 / (1 / x))) * x = x * (1 / x). [para(1441(a,1),127(a,1,2)),flip(a)]. 1445 K(x,1 / x) = K(x,x \ 1). [hyper(255,a,1265,a(flip),b,1443,a(flip)),flip(a)]. 1446 K(x,x \ 1) * x = T(x,x \ 1). [para(1443(a,1),21(a,1,1))]. 1447 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(128(a,1),1443(a,1,1))]. 1448 K(x,x \ 1) = x * (1 / x). [hyper(365,a,1445,a),flip(a)]. 1449 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(255,a,616,a,b,1445,a(flip)),flip(a)]. 1450 x \ K(x,x \ 1) = 1 / x. [hyper(80,a,1445,a(flip),b,191,a(flip))]. 1451 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(70(a,1),1445(a,1,2)),flip(a)]. 1452 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1445(a,1),391(a,1,1))]. 1454 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1445(a,1),796(a,1,2))]. 1455 K(x,x \ 1) * (x \ 1) = 1 / x. [para(1445(a,1),799(a,1,1))]. 1456 K(x,x \ 1) * x = (x \ 1) \ 1. [para(1445(a,1),1268(a,1,1))]. 1460 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1448(a,2),1103(a,1,2))]. 1461 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1448(a,2),832(a,1,1))]. 1462 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1448(a,2),1418(a,1,2))]. 1463 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1448(a,2),1423(a,1,2))]. 1464 x * (1 / x) != y | K(x,x \ 1) = y. [para(1450(a,1),220(a,1,2)),flip(b)]. 1465 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). [para(1446(a,1),112(a,1,1))]. 1466 T(x,x \ 1) \ (K(x,x \ 1) * y) = L(x \ y,x,K(x,x \ 1)). [para(1446(a,1),114(a,2,1)),flip(a)]. 1467 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1446(a,1),422(a,1,1))]. 1469 x * L(y,K(x,x \ 1),1 / (1 / x)) = (1 / (1 / x)) * (K(x,x \ 1) * y). [para(1454(a,1),112(a,1,1))]. 1470 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(1454(a,1),122(a,1,2))]. 1471 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1454(a,1),123(a,2,2))]. 1472 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1455(a,1),483(a,1,1))]. 1474 ((x \ 1) \ 1) / L(y \ x,y,K(x,x \ 1)) = K(x,x \ 1) * y. [para(1456(a,1),417(a,1,1))]. 1475 K(x,1 / x) != y | K(x,x \ 1) = y. [para(191(a,2),1464(a,1))]. 1477 (x \ 1) / (1 / x) = (x \ 1) * x. [hyper(255,a,968,a(flip),b,1442,a(flip)),flip(a)]. 1478 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(255,a,189,a,b,1477,a)]. 1479 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(255,a,1270,a,b,1478,a(flip)),flip(a)]. 1480 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(255,a,1196,a(flip),b,1478,a(flip)),flip(a)]. 1481 K(x \ 1,x) * (1 / x) = x \ 1. [para(1478(a,1),21(a,1,1))]. 1482 K(x \ 1,x) \ (x \ 1) = 1 / x. [para(1478(a,1),73(a,1,1))]. 1483 x * K(x \ 1,x) = 1 / (1 / x). [para(1480(a,1),19(a,1,2))]. 1484 x * (T(x,y) \ K(x \ 1,x)) = T(x,y) \ (1 / (1 / x)). [para(1480(a,1),1082(a,1,2,2))]. 1486 T(1 / x,K(x \ 1,x)) = 1 / x. [hyper(695,a,1481,a)]. 1487 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1481(a,1),112(a,1,1))]. 1488 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(1481(a,1),114(a,2,1))]. 1489 L(x \ 1,x,x \ 1) = 1 / x. [hyper(609,a,1482,a)]. 1491 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1489(a,1),50(a,1,1)),flip(a)]. 1492 L(x,x \ 1,x) = 1 / (1 / x). [hyper(761,a,1483,a)]. 1494 (1 / (1 / x)) / (x * x) = R(x \ 1,x,x). [para(1483(a,1),1254(a,1,1))]. 1495 L(T(x,y),x \ 1,x) = T(1 / (1 / x),y). [para(1492(a,1),45(a,2,1))]. 1496 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1492(a,1),49(a,1,1)),flip(a)]. 1499 L(1 / x,y,z) * K(x \ 1,x) = K(x \ 1,x) * L(1 / x,y,z). [para(1486(a,1),183(a,1,2,1)),flip(a)]. 1501 x / (1 / (1 / x)) = x * (1 / x). [hyper(255,a,1149,a(flip),b,1444,a(flip)),flip(a)]. 1502 x / (1 / (1 / x)) = K(x,x \ 1). [hyper(255,a,1448,a,b,1501,a)]. 1503 x / (1 / (1 / x)) = K(x,1 / x). [hyper(255,a,191,a,b,1501,a)]. 1504 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1502(a,1),21(a,1,1))]. 1505 K(x,x \ 1) \ x = 1 / (1 / x). [para(1502(a,1),73(a,1,1))]. 1506 K(x,1 / x) * (1 / (1 / x)) = x. [para(1503(a,1),21(a,1,1))]. 1507 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1504(a,1),112(a,1,1))]. 1508 L(x,1 / x,x) = 1 / (1 / x). [hyper(563,a,1506,a)]. 1509 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1508(a,1),45(a,2,1))]. 1510 T(L(x,1 / x,x),x \ 1) = x. [para(1508(a,2),1439(a,1,1))]. 1511 L(T(x,x \ 1),1 / x,x) = x. [hyper(255,a,45,a,b,1510,a(flip)),flip(a)]. 1512 T(x,K(x,1 / x)) = x. [hyper(255,a,1276,a(flip),b,1511,a(flip)),flip(a)]. 1513 T(K(x,1 / x),x) = K(x,1 / x). [hyper(40,a,1512,a)]. 1514 T(x,K(x,x \ 1)) = x. [para(1445(a,1),1512(a,1,2))]. 1515 L(x,y,z) * K(x,x \ 1) = K(x,x \ 1) * L(x,y,z). [para(1514(a,1),183(a,1,2,1)),flip(a)]. 1516 a(x,1 / x,x) = K(x,1 / x). [hyper(255,a,711,a(flip),b,1513,a(flip)),flip(a)]. 1517 x \ T(x,x \ 1) = K(x,1 / x). [hyper(255,a,1266,a,b,1516,a(flip)),flip(a)]. 1518 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(255,a,1261,a(flip),b,1516,a(flip)),flip(a)]. 1519 x \ T(x,x \ 1) = K(x,x \ 1). [hyper(255,a,1445,a(flip),b,1517,a)]. 1520 x \ ((x \ 1) \ 1) = K(x,x \ 1). [hyper(255,a,1445,a(flip),b,1518,a)]. 1521 K((x \ 1) \ 1,x \ 1) = K(x,1 / x). [hyper(255,a,693,a,b,1518,a(flip)),flip(a)]. 1522 x * K(x,x \ 1) = T(x,x \ 1). [para(1519(a,1),19(a,1,2))]. 1523 x * K(x,x \ 1) = (x \ 1) \ 1. [para(1519(a,1),275(a,2,2)),flip(a)]. 1524 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [hyper(255,a,693,a,b,1520,a(flip)),flip(a)]. 1525 T(x,x \ 1) * L(y,K(x,x \ 1),x) = x * (K(x,x \ 1) * y). [para(1522(a,1),112(a,1,1))]. 1526 L(K(x,x \ 1) \ y,K(x,x \ 1),x) = T(x,x \ 1) \ (x * y). [para(1522(a,1),114(a,2,1))]. 1528 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(1522(a,1),466(a,1,1,1))]. 1529 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1475,a,1479,a)]. 1530 K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,1 / (x \ 1)). [para(1248(a,2),1521(a,1,1))]. 1532 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(1524(a,1),1405(a,1,2,1))]. 1533 K(1 / x,x) = K(x \ 1,x). [para(73(a,1),1529(a,1,2))]. 1534 K(1 / (1 / x),1 / x) = K(x,x \ 1). [hyper(255,a,1449,a(flip),b,1533,a)]. 1535 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(255,a,1452,a,b,1533,a(flip)),flip(a)]. 1536 K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(T(x,x \ 1),T(x \ 1,x)). [para(1247(a,1),1533(a,1,1)),flip(a)]. 1539 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = L(R(x \ 1,x,x),y,z) * (x * x). [para(1494(a,1),570(a,1,1,1)),flip(a)]. 1540 T(1 / (1 / x),y) / ((x \ 1) * T(x,y)) = x. [hyper(81,a,1495,a(flip),b,190,a)]. 1541 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(255,a,1003,a,b,1509,a(flip)),flip(a)]. 1542 K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1491(a,1),433(a,1,2))]. 1543 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(255,a,1462,a(flip),b,1515,a(flip))]. 1544 K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,x). [para(70(a,1),1530(a,2,2))]. 1545 K(T(x \ 1,x),T(x,x \ 1)) = K(x \ 1,x). [para(128(a,2),1544(a,1,2))]. 1546 K(T((x \ 1) \ 1,x \ 1),T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). [hyper(255,a,1524,a(flip),b,1545,a)]. 1547 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1541(a,1),19(a,1,2))]. 1549 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1445(a,1),1547(a,1,1))]. 1550 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(1505(a,2),1549(a,1,2,1))]. 1552 (x * y) * L((x * y) \ y,z,u) = (L(1 / x,z,u) * x) * y. [hyper(780,a,1011,a)]. 1554 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(17(a,1),1051(a,2,2,1,2))]. 1555 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(87,a,1554,a),flip(a)]. 1556 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(289(a,1),1554(a,1,2)),flip(a)]. 1557 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1200(a,2),1554(a,1,2)),flip(a)]. 1558 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(966,a,1557,a)]. 1559 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(80,a,1557,a,b,xx),flip(a)]. 1560 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(255,a,925,a(flip),b,1557,a(flip))]. 1561 K(x \ (x / (y \ (z \ y))),x) = y \ (T(z,x) * (z \ y)). [hyper(80,a,398,a(flip),b,1557,a(flip)),flip(a)]. 1562 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(18(a,1),1557(a,1,2,1)),flip(a)]. 1563 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(31(a,2),1557(a,2,2,1,2,2))]. 1564 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(33(a,2),1557(a,2,2,1,2,2))]. 1565 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(20(a,1),1559(a,1,1,2))]. 1566 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(37(a,2),1559(a,1,1,2,2))]. 1567 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(73(a,1),1559(a,2,2,2,1))]. 1569 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1559(a,1),975(a,1,2,2))]. 1570 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(994(a,1),1569(a,1,2,2,2,2))]. 1571 T(x,x * (T(x,y) \ x)) = x. [para(19(a,1),1570(a,1,2,2,2))]. 1572 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1571(a,1),43(a,1,1)),flip(a)]. 1573 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(18(a,1),1556(a,1,2,1)),flip(a)]. 1574 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(21(a,1),1558(a,1,1,1)),flip(a)]. 1575 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(894(a,1),1567(a,2,2))]. 1576 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(81,a,396,a(flip),b,1052,a)]. 1577 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(16(a,1),1052(a,2,1,1,1))]. 1578 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(255,a,396,a(flip),b,1577,a)]. 1579 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(396(a,1),1578(a,1,1))]. 1581 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1200(a,2),1579(a,1,1))]. 1582 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(96,a,1581,a),flip(a)]. 1584 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [para(20(a,1),1582(a,1,1,2))]. 1585 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(35(a,2),1582(a,1,1,2,2))]. 1586 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(994(a,1),1582(a,2,1,2))]. 1587 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(255,a,1572,a(flip),b,1080,a(flip))]. 1588 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1587(a,1),70(a,1,2))]. 1589 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1353,a,1588,a)]. 1590 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1588(a,2),618(a,1,2))]. 1591 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1589(a,1),396(a,1,1)),flip(a)]. 1594 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(255,a,809,a(flip),b,1120,a(flip)),flip(a)]. 1595 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(789(a,1),1594(a,1,1))]. 1596 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(1083(a,1),1595(a,1,1,2,1))]. 1597 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1379(a,2),1595(a,1,1)),flip(a)]. 1602 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(18(a,1),1192(a,1,1)),flip(a)]. 1603 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(533,a,1602,a)]. 1604 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(80,a,97,a(flip),b,1602,a)]. 1605 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(674,a,1603,a),flip(a)]. 1615 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(780,a,1323,a),flip(a)]. 1616 x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). [hyper(997,a,1335,a),flip(a)]. 1617 T(x,x / (y \ 1)) != z | T(x,y * x) = z. [para(1616(a,1),891(a,1))]. 1618 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(992,a,1336,a),flip(a)]. 1619 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(16(a,1),1336(a,2,1,1,2))]. 1620 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(19(a,1),1618(a,1,1,1,2)),flip(a)]. 1621 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1618(a,1),1364(a,1,1))]. 1622 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(916,a,1619,a)]. 1623 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(73(a,1),1622(a,1,2,1,2))]. 1624 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(302,a,1623,a),flip(a)]. 1625 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(916,a,1362,a)]. 1626 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(18(a,1),1366(a,1,1,2)),flip(a)]. 1627 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(535,a,1626,a)]. 1629 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(998(a,1),1626(a,1,1)),flip(a)]. 1631 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(308,a,1629,a),flip(a)]. 1632 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(1099,a,1631,a)]. 1634 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(96,a,1632,a)]. 1636 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(255,a,1620,a,b,1634,a(flip)),flip(a)]. 1637 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(18(a,1),1636(a,1,2,2,2)),flip(a)]. 1638 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(396(a,1),1370(a,2,1))]. 1639 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(578(a,1),1397(a,2,1))]. 1640 (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). [hyper(255,a,832,a(flip),b,1416,a)]. 1642 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(1550(a,1),973(a,1,1))]. 1643 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(570(a,1),1552(a,2,1))]. 1645 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(1190(a,1),1566(a,2,2))]. 1646 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(255,a,37,a,b,1645,a),flip(a)]. 1647 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(1645(a,2),19(a,1,2)),flip(a)]. 1649 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(255,a,1200,a(flip),b,1646,a),flip(a)]. 1650 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(80,a,1646,a,b,1200,a(flip))]. 1651 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(289(a,1),1646(a,1,1)),flip(a)]. 1654 K(x \ (x / T(y,z)),x) = T(K(x \ (x / y),x),z). [para(1200(a,2),1646(a,1,1)),flip(a)]. 1656 K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). [para(70(a,1),1654(a,2,1,1,2))]. 1657 T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). [para(128(a,1),1656(a,1,1,2,2)),flip(a)]. 1658 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(225,a,1649,a),flip(a)]. 1659 T(x,y) \ T(x * T(x \ 1,z),y) != u | T(T(x,y) \ 1,z) = u. [para(1649(a,1),222(a,1,2)),flip(b)]. 1661 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1232(a,1),1650(a,1,2,1,2)),flip(a)]. 1662 T(x,y) \ T(x * T(x \ 1,x),y) = T(T(x,y) \ 1,T(x,x \ 1)). [para(1246(a,1),1650(a,1,2,1,2))]. 1663 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(255,a,396,a(flip),b,1576,a)]. 1666 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(570(a,1),1615(a,1,1))]. 1667 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(1083(a,1),1625(a,1,2,1))]. 1668 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1625(a,1),1378(a,1,2))]. 1669 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(255,a,832,a(flip),b,1638,a(flip)),flip(a)]. 1670 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(255,a,656,a(flip),b,1638,a(flip))]. 1671 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(172,a,1638,a(flip),b,832,a(flip)),flip(a)]. 1673 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(37(a,2),1671(a,1,2,1,2)),flip(a)]. 1674 T(x * T(x \ y,x),x) = (x \ T(y,x)) * x. [hyper(255,a,127,a(flip),b,1673,a)]. 1675 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(80,a,1673,a,b,xx)]. 1676 T((x \ y) * x,x) = (x \ T(y,x)) * x. [para(127(a,1),1674(a,1,1))]. 1677 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(81,a,1676,a,b,xx)]. 1678 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(80,a,1676,a,b,263,a)]. 1680 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1676(a,2),69(a,1,2,1))]. 1683 (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. [para(1677(a,1),226(a,1,1)),flip(b)]. 1684 x \ T(x * (y / x),x) = T(y,x) / x. [para(75(a,1),1677(a,1,1,1)),flip(a)]. 1687 x * (T(y * x,x) / x) = T(x * y,x). [para(18(a,1),1680(a,1,2,1,1,1))]. 1688 T(x * (y / x),x) = x * (T(y,x) / x). [para(75(a,1),1680(a,1,2,1,1)),flip(a)]. 1692 (x \ 1) * (T(x \ R(x,y,z),x \ 1) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1159(a,1),1687(a,1,2,1,1))]. 1693 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(18(a,1),1675(a,1,2,1,2,1))]. 1695 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(18(a,1),1678(a,1,2,1,1))]. 1696 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1684(a,1),1693(a,2,1))]. 1697 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1696(a,1),19(a,1,2)),flip(a)]. 1698 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(151(a,1),1697(a,2,2,1,1))]. 1700 T(x,x * R(x \ 1,y,z)) = x. [hyper(172,a,821,a(flip),b,1639,a(flip))]. 1701 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [hyper(172,a,1639,a(flip),b,821,a(flip))]. 1703 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(73(a,1),1700(a,1,2,2,1))]. 1704 T(x,(y / (x * y)) * x) = x. [para(593(a,2),1700(a,1,2))]. 1705 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(581(a,1),1700(a,1,2))]. 1706 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1158(a,1),1700(a,1,2))]. 1707 T(x / y,(y / x) * (x / y)) = x / y. [para(708(a,1),1700(a,1,2))]. 1708 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1704(a,1),1108(a,1,1,1)),flip(a)]. 1709 T(x \ R(x,y,z),x \ 1) = x \ R(x,y,z). [hyper(40,a,1706,a)]. 1710 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1706(a,1),43(a,1,1)),flip(a)]. 1711 T(x / (y * x),y * (x / (y * x))) = x / (y * x). [para(20(a,1),1707(a,1,2,1))]. 1712 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1703(a,1),548(a,1,1,2))]. 1713 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1705(a,1),718(a,1,1))]. 1714 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1701(a,1),1688(a,2,2,1))]. 1715 R(x / (y * x),y,x / (y * x)) = T(x / (y * x),y). [para(1711(a,1),718(a,1,1))]. 1716 T(x \ 1,R(x,y,z)) \ T((x \ 1) * R(x,y,z),x \ 1) = T(R(x,y,z),x \ 1). [para(1713(a,1),1319(a,1,1))]. 1717 R(x / (y * x),y,x / (y * x)) = R(y \ 1,y,x). [hyper(255,a,587,a(flip),b,1715,a)]. 1718 R(x \ 1,x,y) \ T((y / (x * y)) * x,y / (x * y)) = T(x,y / (x * y)). [para(1717(a,1),1319(a,1,1))]. 1719 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(396(a,1),1640(a,1,1))]. 1720 T(x,x * L(x \ 1,y,z)) = x. [hyper(172,a,824,a(flip),b,1643,a(flip))]. 1724 T(x,x * ((y * x) \ y)) = x. [para(162(a,1),1720(a,1,2,2))]. 1725 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(342(a,1),1720(a,1,2,2))]. 1726 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(572(a,1),1720(a,1,2))]. 1728 (((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y). [para(1724(a,1),548(a,1,1,2))]. 1729 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(940(a,1),1724(a,1,2,2,1))]. 1730 T(x \ (x / y),(x \ (x / y)) * y) = x \ (x / y). [para(73(a,1),1725(a,1,2,2))]. 1731 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1725(a,1),547(a,1,2)),flip(a)]. 1732 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1726(a,1),718(a,1,1))]. 1733 T((x \ (x / y)) * y,x \ (x / y)) = (x \ (x / y)) * y. [hyper(40,a,1730,a)]. 1734 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(40,a,1729,a)]. 1735 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(23,a,764,a,b,1731,a)]. 1739 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(19(a,1),1661(a,2,2,1))]. 1741 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(151(a,1),1739(a,2,2))]. 1743 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(127(a,1),1663(a,1,1)),flip(a)]. 1744 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(831(a,1),1663(a,1,1)),flip(a)]. 1745 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [para(832(a,1),1663(a,1,1))]. 1746 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1489(a,1),1666(a,1,1,2)),flip(a)]. 1747 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1448(a,2),1746(a,2,1))]. 1750 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(114(a,2),1669(a,1,2,2,1,2)),flip(a)]. 1753 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(848(a,1),1719(a,1,1)),flip(a)]. 1754 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(974(a,2),1719(a,1,1))]. 1755 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(60(a,1),1754(a,2,2,2,1,2))]. 1757 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(127(a,1),1755(a,2,2))]. 1758 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(289(a,1),1755(a,2,2))]. 1759 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(23,a,122,a(flip),b,1757,a)]. 1760 (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). [para(20(a,1),1758(a,1,1,1))]. 1761 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(763(a,1),1758(a,1,1,1))]. 1762 ((x / K(y \ 1,y)) * y) * K(y \ 1,y) = x * y. [hyper(308,a,1760,a),flip(a)]. 1763 ((x * (y \ 1)) / K(y \ 1,y)) * y = R(x,y \ 1,y). [hyper(23,a,465,a,b,1762,a)]. 1764 (x * (y \ 1)) / K(y \ 1,y) != z | R(x,y \ 1,y) / y = z. [para(1759(a,1),304(a,1,1)),flip(b)]. 1765 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(81,a,556,a(flip),b,771,a)]. 1766 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(21(a,1),1765(a,1,1,1)),flip(a)]. 1767 x * R(x \ K(x,x \ 1),y,z) = R(1 / x,y,z) / (x \ 1). [para(1455(a,1),1765(a,1,1,1)),flip(a)]. 1768 R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). [para(1450(a,1),1767(a,1,2,1)),flip(a)]. 1769 (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). [para(351(a,1),1768(a,1,1)),flip(a)]. 1770 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(806(a,1),418(a,1,2)),flip(a)]. 1771 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(443(a,1),835(a,1,2,1))]. 1772 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(342(a,1),1033(a,1,2))]. 1773 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [para(1772(a,1),70(a,1,2))]. 1774 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(342(a,1),1169(a,1,1)),flip(a)]. 1776 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1774(a,1),19(a,1,2))]. 1777 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(172,a,1776,a,b,19,a)]. 1781 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(255,a,708,a(flip),b,1181,a(flip))]. 1782 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(70(a,1),1781(a,1,2)),flip(a)]. 1783 (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). [hyper(302,a,1782,a),flip(a)]. 1785 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [para(1783(a,1),19(a,1,2))]. 1786 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(172,a,1785,a,b,19,a)]. 1788 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(400(a,1),1230(a,1,2)),flip(a)]. 1789 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(400(a,1),1788(a,1,2)),flip(a)]. 1790 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1789(a,1),51(a,1,1)),flip(a)]. 1791 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1789(a,1),1318(a,1,1))]. 1792 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(255,a,1448,a,b,1275,a)]. 1793 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(20(a,1),1437(a,2,1))]. 1794 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1793(a,1),397(a,1,1)),flip(a)]. 1795 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(22,a,183,a,b,1794,a),flip(a)]. 1796 L(K(x,x \ 1) \ y,K(x,x \ 1),x) = x * (((x \ 1) \ 1) \ y). [hyper(255,a,1105,a(flip),b,1526,a)]. 1802 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [para(351(a,1),1769(a,1,2)),flip(a)]. 1804 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [para(70(a,1),1802(a,1,1)),flip(a)]. 1807 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(70(a,1),1804(a,1,2)),flip(a)]. 1808 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(1807(a,1),1766(a,1,2,1,2))]. 1816 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(255,a,1643,a(flip),b,1008,a(flip))]. 1817 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1489(a,1),1816(a,2,1,2))]. 1818 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1747(a,1),1817(a,1,2))]. 1819 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(22,a,112,a(flip),b,1818,a)]. 1820 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1448(a,2),1818(a,2,1))]. 1821 x \ (K(x,x \ 1) * y) = K(x,x \ 1) * (x \ y). [hyper(87,a,1820,a)]. 1822 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(22,a,1543,a(flip),b,1820,a)]. 1823 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(18(a,1),1820(a,1,2,2)),flip(a)]. 1824 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(37(a,2),1820(a,1,2,2))]. 1825 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1451(a,1),1820(a,1,2,1))]. 1826 (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. [para(1529(a,1),1820(a,1,2,1))]. 1827 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y). [hyper(255,a,1465,a,b,1823,a(flip)),flip(a)]. 1828 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(1819(a,1),24(a,1)),flip(a)]. 1829 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(255,a,1278,a(flip),b,1822,a)]. 1830 L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). [hyper(22,a,1525,a,b,1827,a),flip(a)]. 1831 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(1 / y,y),1 / y). [para(73(a,1),1830(a,1,2,2)),flip(a)]. 1832 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). [para(1529(a,1),1830(a,1,2)),flip(a)]. 1833 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(801,a,1012,a),flip(a)]. 1834 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(780,a,1012,a)]. 1835 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(571(a,1),1833(a,1,1))]. 1840 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(80,a,98,a(flip),b,1835,a)]. 1841 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1835(a,1),272(a,1,1))]. 1851 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(255,a,570,a(flip),b,1013,a)]. 1852 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(788,a,1014,a)]. 1855 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(112(a,1),1053(a,1,1))]. 1856 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [hyper(916,a,1059,a)]. 1857 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(122(a,1),1059(a,1,2))]. 1858 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(814,a,1121,a)]. 1859 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1194(a,1),1858(a,1,1))]. 1860 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(96,a,1859,a)]. 1861 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(167(a,1),1859(a,1,1,2)),flip(a)]. 1862 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(1859(a,1),304(a,1,1)),flip(b)]. 1863 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1860(a,1),949(a,1,3)),flip(a)]. 1864 T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1 = x \ (((T(y,x) \ y) * x) \ x). [para(1861(a,1),1091(a,1,2,1)),flip(a)]. 1865 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1861(a,1),1587(a,1,1,2,1))]. 1866 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1186(a,1),374(a,1))]. 1867 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(73(a,1),1226(a,1,2)),flip(a)]. 1868 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(16(a,1),1867(a,2,1,1))]. 1869 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1868(a,1),1720(a,1,2))]. 1870 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1869(a,1),404(a,1,1,2)),flip(a)]. 1872 (L(x / (y / z),u,w) * (y / z)) * z = y * L(y \ (x * z),u,w). [hyper(255,a,570,a(flip),b,1322,a)]. 1873 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(87,a,1324,a)]. 1875 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(16(a,1),1326(a,2,1,1,1))]. 1876 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(255,a,578,a(flip),b,1875,a)]. 1877 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(578(a,1),1876(a,1,1))]. 1878 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(96,a,1877,a),flip(a)]. 1879 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(35(a,2),1878(a,1,1)),flip(a)]. 1883 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(87,a,1333,a)]. 1884 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(255,a,1499,a,b,1542,a(flip)),flip(a)]. 1885 K(T(x \ 1,x) \ 1,T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). [para(1252(a,1),1546(a,1,1))]. 1886 K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(x,x \ 1). [para(1251(a,1),1885(a,1,2))]. 1887 K(T(x,x \ 1),T(x \ 1,x)) = K(x,x \ 1). [hyper(255,a,1536,a(flip),b,1886,a(flip)),flip(a)]. 1888 K(T(x,x \ 1),T(x,x \ 1) \ 1) = K(x,x \ 1). [para(1242(a,2),1887(a,1,2))]. 1889 K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = T(x,x \ 1) \ (K(x,x \ 1) * y). [para(1888(a,1),1821(a,1,2,1)),flip(a)]. 1892 T(T(x,y) \ 1,T(x,x \ 1)) = T(T(x,y) \ 1,x). [hyper(1659,a,1662,a),flip(a)]. 1893 T(T(x,y) \ 1,(x \ 1) \ 1) = T(T(x,y) \ 1,x). [para(128(a,1),1892(a,1,2))]. 1894 ((x \ 1) \ 1) * T(T(x,y) \ 1,x) = (T(x,y) \ 1) * ((x \ 1) \ 1). [para(1893(a,1),127(a,1,2))]. 1895 (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). [para(656(a,1),1670(a,1,1))]. 1896 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(587(a,1),1708(a,1,2))]. 1897 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(185(a,1),1791(a,1,2))]. 1898 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(255,a,1698,a(flip),b,1897,a)]. 1899 L(x,1 / (1 / y),K(1 / (1 / y),(1 / (1 / y)) \ 1)) = L(x,K(y,y \ 1),1 / (1 / y)). [para(1534(a,1),1831(a,2,2))]. 1900 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(570(a,1),1834(a,2,1))]. 1901 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(570(a,1),1851(a,1,1))]. 1902 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(578(a,1),1852(a,2,1))]. 1903 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(789(a,1),1856(a,2,1))]. 1904 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). [para(570(a,1),1872(a,1,1))]. 1905 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(17(a,1),1873(a,1,2,2,1,2)),flip(a)]. 1906 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(33(a,2),1905(a,1,1)),flip(a)]. 1908 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(19(a,1),1883(a,1,2,2,1))]. 1909 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(412,a,1908,a)]. 1910 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1908(a,1),412(a,1))]. 1911 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(255,a,1392,a(flip),b,1909,a)]. 1912 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(70(a,1),1909(a,1,2,1)),flip(a)]. 1913 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(941(a,1),1909(a,1,2)),flip(a)]. 1914 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1041(a,1),1909(a,1,2)),flip(a)]. 1915 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1357(a,1),1909(a,1,2)),flip(a)]. 1916 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1909(a,2),1378(a,1,2))]. 1919 K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). [para(1083(a,1),1911(a,2,2,1))]. 1920 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1159(a,1),1911(a,2,2,1))]. 1921 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(70(a,1),1916(a,1,2,2,1)),flip(a)]. 1922 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(121(a,2),1921(a,1,2))]. 1923 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(20(a,1),1922(a,2,2,2))]. 1924 T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). [para(1923(a,1),1075(a,1,2,1)),flip(a)]. 1925 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(398(a,2),1913(a,1,2,1))]. 1926 x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). [para(1923(a,1),1924(a,1,1)),flip(a)]. 1927 (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). [para(17(a,1),1926(a,1,2)),flip(a)]. 1930 K(x,y) / (x \ 1) = x * K(x,y). [hyper(81,a,18,a(flip),b,1927,a)]. 1934 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(255,a,1008,a(flip),b,1900,a(flip)),flip(a)]. 1935 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(255,a,824,a(flip),b,1900,a(flip))]. 1936 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(172,a,1900,a(flip),b,1008,a(flip)),flip(a)]. 1938 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(37(a,2),1936(a,1,2,1,2)),flip(a)]. 1939 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(80,a,1938,a,b,xx)]. 1940 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(18(a,1),1939(a,1,2,1,2,1)),flip(a)]. 1945 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(255,a,1005,a(flip),b,1902,a(flip)),flip(a)]. 1949 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(18(a,1),1902(a,1,2,1)),flip(a)]. 1951 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(18(a,1),1949(a,1,1,2,1))]. 1954 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(87,a,1951,a)]. 1956 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1954(a,1),1061(a,1,1)),flip(a)]. 1958 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1956(a,1),573(a,1,2))]. 1959 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(81,a,62,a(flip),b,1958,a)]. 1961 (x * y) * R(x,y,T(x,y)) = T(x * y,x) * T(x,y). [para(987(a,1),1958(a,1,1)),flip(a)]. 1962 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(255,a,601,a(flip),b,1959,a(flip)),flip(a)]. 1969 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(255,a,1053,a(flip),b,1903,a(flip))]. 1970 (x * (((x * y) * (x \ 1)) / (x * y))) * y = (x * y) * (y / (x * y)). [para(19(a,1),1903(a,1,2,1)),flip(a)]. 1972 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1622(a,1),1969(a,1,1)),flip(a)]. 1973 (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). [hyper(96,a,1904,a)]. 1975 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [para(16(a,1),1973(a,1,1,2,1,2)),flip(a)]. 1976 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(35(a,2),1975(a,1,1)),flip(a)]. 1979 (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [hyper(255,a,1193,a(flip),b,694,a(flip)),flip(a)]. 1980 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(813(a,1),914(a,1,1))]. 1981 (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). [para(735(a,1),1980(a,1,1,1,2)),flip(a)]. 1982 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(193(a,1),985(a,1,2))]. 1983 T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(47(a,2),1982(a,1,1,1))]. 1984 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(385(a,1),1983(a,1,1))]. 1985 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1984(a,1),43(a,1,1)),flip(a)]. 1986 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(920(a,1),1985(a,1,1))]. 1987 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(21(a,1),1986(a,1,1)),flip(a)]. 1988 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(472(a,1),1987(a,2,2))]. 1989 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(21(a,1),1988(a,1,1))]. 1990 T(x,x * (y \ 1)) = T(x,y \ x). [para(129(a,1),1989(a,1,2)),flip(a)]. 1991 T(x,(1 / y) \ x) = T(x,x * y). [para(73(a,1),1990(a,1,2,2)),flip(a)]. 1992 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(190(a,1),1415(a,1,1))]. 1993 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1496(a,1),1992(a,1,1))]. 1994 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(1064,a,1487,a(flip))]. 1995 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(477(a,1),1596(a,2,2))]. 1996 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(16(a,1),1995(a,2,2,1))]. 1997 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1667(a,1),1996(a,1,1))]. 1998 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(226,a,1997,a)]. 2000 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(255,a,1668,a,b,1998,a(flip)),flip(a)]. 2001 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1667(a,2),2000(a,1,2))]. 2002 x \ (((T(y,x) \ y) * x) \ x) = ((T(y,x) \ y) * x) \ 1. [para(1861(a,1),1864(a,1,1)),flip(a)]. 2003 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * ((y \ 1) \ ((y \ 1) * (y * x))). [para(433(a,1),1979(a,1,2,2)),flip(a)]. 2004 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1712(a,1),1165(a,1,1))]. 2005 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(255,a,186,a(flip),b,2004,a(flip)),flip(a)]. 2006 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(896(a,1),1209(a,1,2,1))]. 2007 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(2006(a,1),19(a,1,2))]. 2008 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(255,a,1555,a(flip),b,2007,a(flip))]. 2009 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(255,a,1903,a(flip),b,1331,a(flip))]. 2011 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(1109(a,1),1337(a,2,2))]. 2012 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(31(a,2),2011(a,1,2,1)),flip(a)]. 2013 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(1524(a,1),1532(a,2,1))]. 2014 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(87,a,2013,a)]. 2015 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) != z | K(x,x \ 1) * y = z. [para(2014(a,1),220(a,1,2)),flip(b)]. 2016 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(31(a,2),1563(a,1,2,1)),flip(a)]. 2017 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1200(a,1),2016(a,1,2))]. 2018 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(87,a,2017,a)]. 2019 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1725(a,1),1565(a,2,2,2))]. 2020 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(19(a,1),1586(a,2,1))]. 2021 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1535(a,1),1642(a,1,2))]. 2022 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1535(a,1),2021(a,2,1,2))]. 2023 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1483(a,1),2022(a,2,1))]. 2025 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(586(a,1),1714(a,2,2))]. 2026 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(586(a,1),2025(a,1,1,2))]. 2027 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(163(a,1),2026(a,1,1,2))]. 2028 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(163(a,1),2027(a,2,2))]. 2029 T(x,x * (y / (x * y))) = x. [hyper(40,a,2028,a)]. 2030 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(255,a,1896,a,b,2028,a(flip)),flip(a)]. 2031 T(x,x * ((x \ y) / y)) = x. [para(19(a,1),2029(a,1,2,2,2))]. 2032 T(x / y,(x / y) * (y / x)) = x / y. [para(21(a,1),2029(a,1,2,2,2))]. 2033 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(2031(a,1),276(a,1,1)),flip(a)]. 2034 T(x / (y * x),(x / (y * x)) * y) = x / (y * x). [para(20(a,1),2032(a,1,2,2))]. 2035 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(2032(a,1),185(a,1,1)),flip(a)]. 2036 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(255,a,129,a(flip),b,2035,a)]. 2037 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(2036(a,1),1584(a,2,1,2))]. 2038 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(2033(a,1),1584(a,2,1,2))]. 2039 T((x / (y * x)) * y,x / (y * x)) = (x / (y * x)) * y. [hyper(40,a,2034,a)]. 2040 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(127(a,1),1753(a,1,2)),flip(a)]. 2041 (x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)). [para(1219(a,2),1753(a,1,2)),flip(a)]. 2042 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(1683,a,2040,a)]. 2043 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(75(a,1),2042(a,1,1))]. 2044 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(18(a,1),2043(a,2,2,1,2)),flip(a)]. 2045 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(18(a,1),2044(a,1,2,1)),flip(a)]. 2047 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(2044(a,1),409(a,1,2))]. 2048 T((x \ 1) * (x * y),x) != (x \ 1) * z | y * x = z. [para(2045(a,2),24(a,1))]. 2049 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(2045(a,1),127(a,1,2)),flip(a)]. 2050 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(255,a,190,a(flip),b,2049,a)]. 2052 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(17(a,1),1770(a,2,2,1,2,2))]. 2053 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(1909(a,2),1770(a,1,2))]. 2054 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(17(a,1),2053(a,2,2,1,2,2))]. 2055 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(37(a,2),2054(a,1,2,2,1,2)),flip(a)]. 2057 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(172,a,1903,a(flip),b,2055,a(flip))]. 2058 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(255,a,1909,a(flip),b,2057,a),flip(a)]. 2059 K(x,(x / T(x,y)) / x) = T(x * (1 / x),y). [para(19(a,1),2057(a,1,1,2,1)),flip(a)]. 2060 T(x \ T(x,x / (x * y)),z) = K(x,(x / T(y,z)) / x). [para(1379(a,2),2057(a,1,1))]. 2061 K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). [para(1912(a,1),2057(a,1,1)),flip(a)]. 2062 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [hyper(255,a,1909,a(flip),b,2059,a(flip)),flip(a)]. 2063 T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). [para(1387(a,1),2061(a,1,2,1,2)),flip(a)]. 2064 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(1083(a,1),2062(a,1,2,1))]. 2066 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1448(a,2),2064(a,2,1))]. 2067 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(2066(a,1),2001(a,1,2))]. 2068 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(2067(a,1),24(a,1))]. 2069 T(K(x,y / x),K(y / x,z)) = K(x,y / x). [para(70(a,1),2063(a,2,2,1))]. 2070 T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). [para(20(a,1),2069(a,1,1,2))]. 2071 T(K(x,y),K(y,z)) = K(x,(y * x) / x). [para(20(a,1),2070(a,1,2,1))]. 2072 T(K(x,y),K(y,z)) = K(x,y). [para(20(a,1),2071(a,2,2))]. 2074 T(K(x,y),K(z,x)) = K(x,y). [hyper(40,a,2072,a)]. 2075 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(2072(a,1),127(a,1,2))]. 2077 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2072(a,1),183(a,1,2,1)),flip(a)]. 2088 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = T(x,y) * (1 / T(x,y)). [para(19(a,1),2058(a,1,2,1)),flip(a)]. 2089 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(398(a,2),2058(a,2,1,2,1)),flip(a)]. 2090 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = K(T(x,y),T(x,y) \ 1). [hyper(255,a,1448,a,b,2088,a)]. 2091 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [para(1913(a,1),2090(a,1,1)),flip(a)]. 2096 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1451(a,1),1825(a,2,1))]. 2097 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(87,a,2096,a)]. 2098 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(255,a,1488,a,b,2097,a(flip)),flip(a)]. 2099 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). [para(382(a,1),1826(a,1,2,2)),flip(a)]. 2101 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1111(a,1),1915(a,1,2,1))]. 2103 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(824(a,1),1935(a,1,1))]. 2105 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(339(a,1),2103(a,1,1,2,2)),flip(a)]. 2106 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(339(a,1),2105(a,1,2,2)),flip(a)]. 2107 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1448(a,2),2106(a,1,1,2))]. 2108 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1448(a,2),2107(a,2,2))]. 2110 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(81,a,98,a(flip),b,2108,a)]. 2112 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(2110(a,1),129(a,1,1))]. 2116 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(255,a,231,a(flip),b,2019,a)]. 2118 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(2116(a,1),1143(a,1,1)),flip(a)]. 2119 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(255,a,1777,a(flip),b,2118,a(flip)),flip(a)]. 2120 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(374,a,2119,a)]. 2121 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(18(a,1),2119(a,1,1,2))]. 2123 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(2120(a,1),1905(a,1,2)),flip(a)]. 2124 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(18(a,1),2121(a,2,2))]. 2125 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(374,a,2124,a)]. 2126 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(2124(a,1),19(a,1,2))]. 2127 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(2124(a,1),70(a,1,2))]. 2128 L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). [para(2125(a,1),346(a,1,1)),flip(a)]. 2129 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(162(a,2),2126(a,1,1,1)),flip(a)]. 2130 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(2127(a,1),1210(a,2,1,1,2)),flip(a)]. 2131 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(540,a,2129,a)]. 2133 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(255,a,1448,a,b,2123,a)]. 2134 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(2133(a,1),19(a,1,2)),flip(a)]. 2135 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(19(a,1),2037(a,2,1))]. 2136 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(255,a,67,a(flip),b,2135,a)]. 2138 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * 1,y)) * z. [para(67(a,1),2041(a,1,1,2,1,2)),flip(a)]. 2139 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(17(a,1),2138(a,2,1,2,1))]. 2141 (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1. [hyper(22,a,234,a(flip),b,2139,a)]. 2144 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(255,a,427,a(flip),b,900,a)]. 2146 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(2144(a,1),1194(a,1,1)),flip(a)]. 2147 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(2144(a,1),1623(a,1,2)),flip(a)]. 2148 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(255,a,1241,a(flip),b,948,a(flip)),flip(a)]. 2150 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(2148(a,1),627(a,1,1))]. 2151 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(255,a,186,a(flip),b,2150,a(flip))]. 2152 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(2151(a,1),1913(a,1,2))]. 2153 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(342(a,1),1157(a,1,2,2))]. 2154 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [para(2153(a,1),19(a,1,2))]. 2155 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(2154(a,1),790(a,1,2,1))]. 2156 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(2154(a,1),1909(a,2,2,1)),flip(a)]. 2157 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1410(a,1),223(a,1))]. 2158 R(x \ 1,x,y) \ ((y / (x * y)) * x) = T(x,y / (x * y)). [para(2039(a,1),1718(a,1,2))]. 2159 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [hyper(709,a,2158,a)]. 2160 (x * R(x \ 1,x,y)) \ (T(x,y / (x * y)) * R(x \ 1,x,y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2159(a,1),177(a,1,2,1))]. 2161 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(1884(a,1),1761(a,1,1))]. 2162 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(255,a,1861,a(flip),b,1865,a)]. 2163 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(255,a,2103,a(flip),b,2161,a(flip)),flip(a)]. 2165 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(189(a,2),2163(a,1,1))]. 2167 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(127(a,1),836(a,1,2,1,1)),flip(a)]. 2168 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(172,a,1639,a(flip),b,2167,a),flip(a)]. 2169 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(594,a,2168,a),flip(a)]. 2171 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(927(a,1),2169(a,2,1,2))]. 2172 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1253(a,1),2171(a,1,1,2)),flip(a)]. 2173 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(23,a,1658,a(flip),b,2172,a)]. 2174 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(2173(a,1),129(a,1,1))]. 2175 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(255,a,1741,a(flip),b,2174,a(flip))]. 2177 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(663(a,1),2175(a,1,1))]. 2178 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(2175(a,1),2141(a,1,2,2))]. 2179 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(87,a,2178,a),flip(a)]. 2181 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(73(a,1),2177(a,1,2))]. 2182 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [para(2181(a,1),70(a,1,2))]. 2183 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(1200(a,2),2181(a,1,1))]. 2184 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(127(a,1),837(a,1,2,1,1)),flip(a)]. 2185 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(172,a,1643,a(flip),b,2184,a),flip(a)]. 2187 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [hyper(255,a,340,a(flip),b,2185,a(flip))]. 2188 T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). [para(675(a,1),2185(a,2,1,2))]. 2190 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(940(a,1),2187(a,2,2,1))]. 2191 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). [para(1095(a,1),2188(a,1,2))]. 2192 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(153(a,1),2191(a,2,1,2))]. 2193 (1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(22,a,2064,a,b,2192,a)]. 2194 (T(x,y) \ x) \ ((T(x,y) \ x) / x) = T(1 / x,T(x,y) \ x). [hyper(172,a,2193,a,b,19,a),flip(a)]. 2196 T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x). [para(2193(a,1),1096(a,1,1))]. 2197 (1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x). [hyper(255,a,129,a(flip),b,2196,a(flip))]. 2198 (1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1. [hyper(255,a,1091,a(flip),b,2197,a)]. 2199 (1 / x) * ((T(x,y) \ 1) * x) != z | T(x,y) \ 1 = z. [para(2197(a,2),1093(a,1))]. 2200 (T(x,y) \ x) * T(T(1 / x,T(x,y) \ x),x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2194(a,1),974(a,2,2,1)),flip(a)]. 2201 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(2152(a,1),2190(a,1,1)),flip(a)]. 2202 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(255,a,2091,a,b,2201,a)]. 2203 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(22,a,1448,a(flip),b,2202,a)]. 2204 (T(x,y) / x) * (1 / T(x,y)) = 1 / x. [para(2203(a,1),19(a,1,2))]. 2205 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(199(a,1),2203(a,1,2))]. 2206 T(x,y) * ((T(x,y) / x) \ (1 / x)) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2203(a,2),1464(a,1,2))]. 2211 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(407(a,1),1148(a,1,1)),flip(a)]. 2217 (1 / T(x,y)) * T(T(x,z),u) = T(T(x,z),u) / T(x,y). [para(21(a,1),1358(a,1,1,1)),flip(a)]. 2219 T(T(x,y),z) / T(x,x \ 1) = (x \ 1) * T(T(x,y),z). [para(199(a,1),2217(a,1,1)),flip(a)]. 2220 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(255,a,182,a(flip),b,2219,a)]. 2221 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(255,a,927,a(flip),b,2220,a)]. 2222 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(2221(a,1),2205(a,1,1))]. 2223 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(255,a,2175,a(flip),b,2222,a(flip))]. 2224 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [para(2223(a,1),73(a,1,1)),flip(a)]. 2227 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(288(a,1),2223(a,1,2,1)),flip(a)]. 2228 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [para(128(a,1),2224(a,1,1)),flip(a)]. 2230 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2227(a,1),70(a,1,2))]. 2231 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2228(a,2),127(a,1,2))]. 2232 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(129(a,1),2228(a,1,1,1)),flip(a)]. 2234 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(255,a,1483,a,b,2230,a(flip)),flip(a)]. 2237 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(660,a,2231,a)]. 2238 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(129(a,1),2231(a,1,2,1,1)),flip(a)]. 2239 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(476(a,1),2231(a,1,2,1,1)),flip(a)]. 2240 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(255,a,1523,a,b,2237,a)]. 2242 (T(x,y) \ 1) \ (T(x,y) \ x) = (x \ 1) \ 1. [hyper(255,a,1089,a,b,2237,a(flip)),flip(a)]. 2243 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(2068,a,2240,a)]. 2244 K(K(x,x \ 1),y) = 1. [hyper(41,a,2243,a)]. 2245 T(x,K(y,y \ 1)) = x. [hyper(40,a,2243,a)]. 2246 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(80,a,2243,a(flip),b,2066,a)]. 2247 K(x,x \ 1) * y = y * K(x,x \ 1). [para(2243(a,1),127(a,1,2)),flip(a)]. 2249 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2243(a,1),225(a,1,2))]. 2251 K(K(x \ 1,x),y) = 1. [para(1451(a,1),2244(a,1,1))]. 2252 K(x,x \ 1) * y != z * K(x,x \ 1) | z = y. [para(2245(a,1),174(a,1,2))]. 2253 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2245(a,1),225(a,1,2))]. 2256 T(x,K(y \ 1,y)) = x. [para(1451(a,1),2245(a,1,2))]. 2258 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(42,a,2251,a)]. 2263 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2048,a,2256,a),flip(a)]. 2266 K(x \ 1,x) * y != z * K(x \ 1,x) | z = y. [para(2256(a,1),174(a,1,2))]. 2267 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2256(a,1),225(a,1,2))]. 2269 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(255,a,1651,a,b,2258,a(flip)),flip(a)]. 2271 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2258(a,1),225(a,1,2))]. 2273 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2247(a,2),35(a,2,2)),flip(a)]. 2276 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) = R(T(z,y * K(x,x \ 1)),y,K(x,x \ 1)). [para(2247(a,2),574(a,1,1))]. 2277 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) != u | L(T(z,y),y,K(x,x \ 1)) = u. [para(2247(a,1),686(a,1,2))]. 2279 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(255,a,974,a(flip),b,2263,a)]. 2281 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(26,a,2263,a)]. 2283 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2263(a,1),112(a,1,1))]. 2284 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2263(a,2),451(a,1,2))]. 2286 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). [para(2263(a,2),574(a,1,1))]. 2287 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2263(a,1),686(a,1,2))]. 2291 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2269(a,1),1205(a,1,1))]. 2292 x * K(x \ (x / T(x,y)),x) = 1 / (1 / x). [para(2269(a,2),1483(a,1,2))]. 2293 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(255,a,405,a(flip),b,2232,a(flip)),flip(a)]. 2294 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2232(a,1),167(a,1,1,2))]. 2297 (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. [para(2242(a,1),19(a,1,2))]. 2300 T(x,y) \ (1 / (1 / x)) = (T(x,y) \ 1) * x. [hyper(80,a,2292,a(flip),b,1207,a)]. 2302 ((x \ 1) \ 1) * T(T(x,y) \ 1,x) = T(x,y) \ x. [hyper(255,a,1894,a,b,2297,a(flip)),flip(a)]. 2307 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2279(a,1),2267(a,1))]. 2308 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(18(a,1),2293(a,2,1,1))]. 2311 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2294(a,1),226(a,1,1)),flip(b)]. 2318 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [para(2247(a,2),2273(a,1,1))]. 2324 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(172,a,1901,a,b,1771,a(flip))]. 2327 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1622(a,1),1972(a,1,2)),flip(a)]. 2328 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(96,a,2327,a)]. 2329 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2328(a,1),810(a,1,1))]. 2330 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(255,a,253,a(flip),b,2329,a(flip))]. 2331 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2330(a,1),627(a,1,1))]. 2332 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(255,a,129,a(flip),b,2331,a(flip))]. 2333 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(255,a,31,a,b,2332,a),flip(a)]. 2334 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(31(a,2),2333(a,2,1,2)),flip(a)]. 2335 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(2334(a,1),21(a,1,1))]. 2336 T(K(x,y),1 / y) = K(x,y). [para(2334(a,1),166(a,1,1))]. 2337 T(1 / x,K(y,x)) = 1 / x. [hyper(40,a,2336,a)]. 2338 T(x \ 1,K(y,x)) = T(1 / x,x). [para(2337(a,1),185(a,1,1)),flip(a)]. 2341 T(x \ 1,K(y,x)) = x \ 1. [hyper(255,a,129,a(flip),b,2338,a)]. 2347 ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). [para(290(a,1),1981(a,1,2,1,2)),flip(a)]. 2348 (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). [para(167(a,1),2347(a,1,1)),flip(a)]. 2349 x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. [para(167(a,1),2348(a,1,2)),flip(a)]. 2350 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). [para(2349(a,1),1919(a,1,2,1)),flip(a)]. 2351 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). [para(20(a,1),2350(a,2,2))]. 2352 (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. [para(2351(a,1),19(a,1,2))]. 2355 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1903(a,1),2009(a,1,2)),flip(a)]. 2356 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1909(a,2),2355(a,1,1))]. 2357 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(169(a,1),2038(a,2,1))]. 2358 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(255,a,67,a(flip),b,2357,a)]. 2360 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(2358(a,1),1143(a,1,1)),flip(a)]. 2361 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(255,a,1786,a(flip),b,2360,a(flip)),flip(a)]. 2362 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(73(a,1),2361(a,1,1,2,1))]. 2363 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(73(a,1),2362(a,2,2,1))]. 2364 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(2363(a,1),19(a,1,2))]. 2365 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(2363(a,1),2136(a,1,1))]. 2366 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(20(a,1),2365(a,1,1,2))]. 2367 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(81,a,20,a(flip),b,2364,a),flip(a)]. 2368 K(1 / x,(y / (x * y)) * x) = 1. [para(20(a,1),2366(a,1,2,2))]. 2369 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(42,a,2368,a)]. 2370 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1866,a,2369,a)]. 2372 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(163(a,2),2370(a,1,3))]. 2373 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(2370(a,1),341(a,1,2))]. 2375 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(2372(a,1),347(a,1,2))]. 2376 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(2373(a,1),1792(a,1,2))]. 2377 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(2376(a,1),19(a,1,2)),flip(a)]. 2379 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1176,a,2375,a)]. 2380 T(1 / (1 / x),y / (x * y)) = x. [para(163(a,1),2379(a,1,2))]. 2381 T(x,y / (x * y)) = T(x,x \ 1). [para(2380(a,1),1440(a,1,1)),flip(a)]. 2382 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(255,a,128,a(flip),b,2381,a)]. 2383 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(80,a,2381,a,b,1522,a)]. 2384 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(2381(a,1),1292(a,2,1))]. 2385 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(21(a,1),2382(a,1,2,2))]. 2386 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(2385(a,1),397(a,1,1))]. 2387 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(20(a,1),2367(a,1,1)),flip(a)]. 2388 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(2387(a,1),1211(a,1,1,2))]. 2389 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(1390,a,2386,a)]. 2391 T(x,y / (y * x)) = (x \ 1) \ 1. [hyper(255,a,2308,a(flip),b,2389,a(flip))]. 2394 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(19(a,1),2391(a,1,2,2))]. 2396 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(70(a,1),2394(a,1,2))]. 2397 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(255,a,615,a(flip),b,2388,a(flip))]. 2399 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [para(2397(a,1),21(a,1,1))]. 2402 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(18(a,1),2130(a,1,1,1))]. 2403 x \ T(x,(y * x) \ y) = T(K(x,(y * x) \ y),x). [hyper(172,a,2402,a,b,19,a),flip(a)]. 2407 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(814,a,845,a),flip(a)]. 2408 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(21(a,1),2407(a,1,2,1,2,2)),flip(a)]. 2409 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(789(a,1),2407(a,2,1))]. 2410 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(308,a,2408,a),flip(a)]. 2411 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2408(a,1),308(a,1))]. 2412 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(997,a,2410,a),flip(a)]. 2413 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(255,a,1332,a(flip),b,2410,a(flip)),flip(a)]. 2414 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [hyper(172,a,2412,a,b,19,a),flip(a)]. 2416 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(301(a,2),2413(a,2,1,2,1)),flip(a)]. 2417 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1903(a,1),2413(a,1,2)),flip(a)]. 2418 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(996(a,1),2411(a,1))]. 2420 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). [hyper(1054,a,2409,a),flip(a)]. 2426 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(255,a,427,a(flip),b,901,a)]. 2427 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(940(a,1),2426(a,2,2))]. 2428 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2427(a,1),1604(a,1,1)),flip(a)]. 2429 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(255,a,1423,a(flip),b,1032,a(flip)),flip(a)]. 2430 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = (L(x \ 1,y,z) * x) * x. [hyper(255,a,460,a(flip),b,1539,a)]. 2431 x * (x * L(x \ (x \ (1 / (1 / x))),y,z)) = (L(x \ 1,y,z) * x) * x. [hyper(1048,a,2430,a)]. 2432 x * (x * L(x \ K(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(1480(a,1),2431(a,1,2,2,1,2))]. 2433 x * (x * L(T(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(294(a,1),2432(a,1,2,2,1))]. 2434 (L(x \ 1,y,z) * x) * x = x * (L(x \ 1,y,z) * x). [para(183(a,1),2433(a,1,2)),flip(a)]. 2435 T(x,L(x \ 1,y,z) * x) = x. [hyper(173,a,2434,a)]. 2436 T(x \ y,(y \ x) * (x \ y)) = x \ y. [para(342(a,1),2435(a,1,2,1))]. 2437 T(x \ (x / y),y * (x \ (x / y))) = x \ (x / y). [para(73(a,1),2436(a,1,2,1))]. 2438 R(x \ (x / y),y,x \ (x / y)) = T(x \ (x / y),y). [para(2437(a,1),718(a,1,1))]. 2439 T(x \ (x / y),y) \ T((x \ (x / y)) * y,x \ (x / y)) = T(y,x \ (x / y)). [para(2438(a,1),1319(a,1,1))]. 2440 T(x \ (x / y),y) \ ((x \ (x / y)) * y) = T(y,x \ (x / y)). [para(1733(a,1),2439(a,1,2))]. 2441 T(x,T(y \ (y / x),x)) = T(x,y \ (y / x)). [hyper(359,a,2440,a)]. 2442 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(T(1 / x,R(x,y,z)),x)). [para(1175(a,1),2441(a,1,2,1)),flip(a)]. 2443 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(x \ 1,R(x,y,z))). [para(185(a,1),2442(a,2,2))]. 2444 T(x,T(1 / x,R(x,y,z))) = T(x,T(x \ 1,R(x,y,z))). [para(1175(a,1),2443(a,1,2))]. 2445 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(895(a,1),1590(a,1,1))]. 2446 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1109(a,1),2445(a,1,1))]. 2447 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1588(a,1),2446(a,1,2))]. 2448 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(255,a,45,a,b,2447,a(flip)),flip(a)]. 2449 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1571(a,1),2448(a,1,1))]. 2450 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(255,a,1109,a,b,2449,a(flip)),flip(a)]. 2451 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2449(a,1),2012(a,1,2))]. 2452 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(255,a,1591,a(flip),b,2450,a(flip))]. 2453 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(656(a,1),1750(a,1,1)),flip(a)]. 2454 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * (y * T(y \ 1,z))) * z. [para(127(a,1),2453(a,1,2))]. 2455 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). [para(1406(a,1),2099(a,2,2))]. 2456 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(664(a,1),2429(a,1,2)),flip(a)]. 2457 T(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x. [para(2456(a,2),1540(a,1,2))]. 2458 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). [hyper(255,a,192,a(flip),b,2455,a)]. 2459 L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). [para(1529(a,1),2458(a,1,1)),flip(a)]. 2460 K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). [para(127(a,1),2459(a,1,1)),flip(a)]. 2462 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1448(a,2),1461(a,1,2,1,1))]. 2463 (x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1709(a,1),1692(a,1,2,1))]. 2464 T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z). [para(1160(a,1),2463(a,1,2)),flip(a)]. 2465 T(x \ 1,R(x,y,z)) \ ((x \ 1) * R(x,y,z)) = T(R(x,y,z),x \ 1). [para(2464(a,1),1716(a,1,2))]. 2466 T(R(x,y,z),T(x \ 1,R(x,y,z))) = T(R(x,y,z),x \ 1). [hyper(359,a,2465,a)]. 2467 R(T(x,T(x \ 1,R(x,y,z))),y,z) = T(R(x,y,z),x \ 1). [hyper(255,a,47,a,b,2466,a(flip)),flip(a)]. 2468 R(T(x,T(x \ 1,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [hyper(255,a,47,a,b,2467,a)]. 2469 R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [para(2444(a,2),2468(a,1,1))]. 2470 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). [para(1203(a,2),1734(a,2,2,1))]. 2471 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(37(a,2),1745(a,1,1,2,2,1,2)),flip(a)]. 2478 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1529(a,1),1829(a,1,1))]. 2479 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1020(a,1),2478(a,1,2))]. 2480 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(255,a,2165,a(flip),b,2479,a(flip)),flip(a)]. 2481 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(255,a,2131,a(flip),b,2480,a)]. 2482 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(23,a,2161,a,b,2481,a(flip)),flip(a)]. 2483 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(255,a,162,a(flip),b,2482,a),flip(a)]. 2484 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(162(a,1),2483(a,2,2,2)),flip(a)]. 2485 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(255,a,17,a,b,2484,a)]. 2488 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(22,a,1030,a,b,2485,a(flip)),flip(a)]. 2489 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(80,a,2488,a(flip),b,2456,a(flip)),flip(a)]. 2490 T(1 / (1 / x),(y * x) \ y) / 1 = x. [para(2488(a,1),2457(a,1,2))]. 2492 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(255,a,128,a,b,2489,a)]. 2493 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(81,a,2489,a(flip),b,2402,a),flip(a)]. 2494 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(19(a,1),2489(a,1,2,1))]. 2495 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(104(a,1),2492(a,1,2,1))]. 2496 T(1 / (1 / x),(y * x) \ y) = x. [hyper(216,a,2490,a)]. 2498 T(1 / (1 / (x \ y)),y \ x) = x \ y. [para(19(a,1),2496(a,1,2,1))]. 2499 (((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y). [para(2496(a,1),167(a,1,1,2))]. 2500 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(255,a,1447,a(flip),b,2493,a)]. 2502 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(19(a,1),2500(a,1,2,1)),flip(a)]. 2503 K(x,y \ (y / x)) = K(x,x \ 1). [para(21(a,1),2500(a,1,2,1))]. 2504 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(1115(a,2),2500(a,1,2,1))]. 2505 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2500(a,2),1535(a,1,1))]. 2506 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2500(a,2),2243(a,1,1))]. 2507 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(255,a,616,a,b,2503,a(flip)),flip(a)]. 2509 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(73(a,1),2494(a,1,2))]. 2510 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. [para(1204(a,2),2494(a,1,1))]. 2511 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2494(a,1),1556(a,1,2)),flip(a)]. 2512 K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). [para(2494(a,2),1657(a,2,1,2,2)),flip(a)]. 2514 T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). [para(1204(a,2),2498(a,1,1,2,2))]. 2517 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(18(a,1),2502(a,2,2))]. 2522 L(x,(y * x) \ y,x) = 1 / (1 / x). [hyper(255,a,1728,a(flip),b,2499,a(flip)),flip(a)]. 2524 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [para(19(a,1),2522(a,1,2,1))]. 2525 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [hyper(255,a,1735,a(flip),b,2524,a(flip)),flip(a)]. 2526 L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). [para(18(a,1),2524(a,1,2))]. 2527 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2524(a,1),2134(a,1,2)),flip(a)]. 2530 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(31(a,2),2495(a,1,2)),flip(a)]. 2531 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(255,a,128,a(flip),b,2530,a(flip))]. 2532 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(255,a,2074,a(flip),b,2531,a(flip))]. 2535 1 / (1 / K(x,y)) = K(x,y). [para(2532(a,1),145(a,1,2,2))]. 2537 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2502(a,1),2527(a,1,2))]. 2538 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2507(a,1),2537(a,1,2))]. 2539 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ ((x * (y * z)) / L(z,y,x))))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(143(a,1),2538(a,1,1)),flip(a)]. 2540 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [hyper(255,a,2128,a(flip),b,2526,a(flip)),flip(a)]. 2542 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(70(a,1),2540(a,1,1))]. 2543 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(896(a,1),2504(a,1,2))]. 2544 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(255,a,2502,a(flip),b,2543,a)]. 2546 T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). [hyper(255,a,1656,a(flip),b,2512,a(flip))]. 2547 T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). [para(18(a,1),2546(a,1,1,1)),flip(a)]. 2548 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). [para(2535(a,1),2514(a,1,1))]. 2549 ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). [hyper(255,a,2510,a(flip),b,2548,a(flip)),flip(a)]. 2550 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(2549(a,1),70(a,1,2))]. 2551 (x \ 1) \ (T(x,y) \ 1) = 1 / (x \ T(x,y)). [hyper(255,a,2179,a,b,2550,a),flip(a)]. 2552 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). [para(18(a,1),2547(a,1,1,1)),flip(a)]. 2553 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). [para(18(a,1),2552(a,2,2))]. 2555 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * (y * x). [para(18(a,1),2003(a,2,2))]. 2556 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = L(x,y,1 / y). [hyper(255,a,192,a(flip),b,2555,a)]. 2558 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | L(x,y,1 / y) = z. [para(2555(a,2),434(a,1))]. 2559 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | (1 / y) * (y * x) = z. [para(2556(a,2),366(a,1))]. 2566 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(2144(a,1),2146(a,1,2)),flip(a)]. 2567 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(255,a,18,a(flip),b,2566,a)]. 2569 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(924(a,1),2567(a,1,1,2)),flip(a)]. 2571 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(255,a,924,a(flip),b,2569,a(flip))]. 2574 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(255,a,192,a(flip),b,2147,a)]. 2575 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(2144(a,1),2574(a,1,1)),flip(a)]. 2576 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(953(a,2),2575(a,1,1)),flip(a)]. 2577 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(953(a,2),2576(a,1,1,2)),flip(a)]. 2578 (T(x,y) \ x) * T(x \ 1,T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(185(a,1),2200(a,1,2))]. 2579 ((T(x,y) \ x) / x) * K(x \ 1,x) = (x \ 1) * (T(x,y) \ x). [hyper(225,a,2578,a),flip(a)]. 2586 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2427(a,1),2428(a,1,2,1)),flip(a)]. 2587 L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). [hyper(362,a,2460,a),flip(a)]. 2589 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(935(a,1),2462(a,2,2))]. 2590 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(255,a,1680,a(flip),b,2589,a)]. 2591 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(661,a,2590,a),flip(a)]. 2592 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(18(a,1),2590(a,1,2,1)),flip(a)]. 2593 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [para(2590(a,1),855(a,1,2)),flip(a)]. 2594 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(129(a,1),2591(a,2,1))]. 2595 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2592(a,2),1824(a,1,2))]. 2596 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(255,a,2112,a(flip),b,2594,a(flip)),flip(a)]. 2597 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2596(a,1),19(a,1,2))]. 2598 ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). [para(73(a,1),2596(a,1,2,2,2)),flip(a)]. 2599 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(18(a,1),2597(a,1,2,1)),flip(a)]. 2601 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = ((1 / x) * y) * K(x \ 1,x). [para(1529(a,1),2599(a,1,2)),flip(a)]. 2606 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(225,a,2595,a)]. 2607 K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. [para(2595(a,1),225(a,1))]. 2608 L(x,y,K(x,x \ 1)) = x. [hyper(422,a,2606,a)]. 2609 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1529(a,1),2608(a,1,3))]. 2610 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2609(a,1),45(a,2,1))]. 2611 (1 / K(x,x \ 1)) * T(y,x) = T(((x \ 1) * x) * y,x). [para(281(a,1),2593(a,1,1,1)),flip(a)]. 2612 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(189(a,2),2611(a,2,1,1))]. 2613 T(K(x \ 1,x) * y,x) = ((x \ 1) * x) * T(y,x). [para(281(a,1),2612(a,1,1)),flip(a)]. 2614 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(189(a,2),2613(a,2,1))]. 2615 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2614(a,2),1407(a,1,2))]. 2616 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(225,a,2615,a)]. 2617 L(x,y,K(x \ 1,x)) = x. [hyper(422,a,2616,a)]. 2618 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2617(a,1),45(a,2,1))]. 2619 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(2157,a,2618,a)]. 2620 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(1009(a,1),2619(a,1,2)),flip(a)]. 2621 (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(382(a,1),2598(a,1,1)),flip(a)]. 2622 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2193(a,1),2601(a,2,1))]. 2623 (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(1533(a,1),2621(a,1,2,2))]. 2624 (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2587(a,2),2623(a,1,2))]. 2625 (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). [hyper(497,a,2624,a),flip(a)]. 2626 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(1529(a,1),2625(a,1,2))]. 2627 R(x,y,K(x \ 1,x)) = x. [hyper(454,a,2626,a)]. 2628 x * ((T(x,y) \ 1) * K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x). [para(1083(a,1),2626(a,1,1)),flip(a)]. 2629 R(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2627(a,1),47(a,2,1))]. 2630 x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. [para(2627(a,1),230(a,1,1))]. 2631 (T(x,y) \ 1) * K(x \ 1,x) = T(x,y) \ K(x \ 1,x). [para(2629(a,1),379(a,1,1)),flip(a)]. 2632 (T(x,y) \ x) * K(x \ 1,x) = x * (T(x,y) \ K(x \ 1,x)). [para(2631(a,1),2628(a,1,2)),flip(a)]. 2633 (T(x,y) \ x) * K(x \ 1,x) = T(x,y) \ (1 / (1 / x)). [hyper(255,a,1484,a(flip),b,2632,a)]. 2643 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(255,a,459,a(flip),b,653,a)]. 2644 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(839,a,2643,a)]. 2645 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(127(a,1),2644(a,1,2)),flip(a)]. 2646 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(255,a,1870,a(flip),b,1045,a(flip)),flip(a)]. 2648 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2646(a,1),789(a,1,1)),flip(a)]. 2649 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(255,a,570,a(flip),b,2648,a)]. 2650 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(255,a,1914,a(flip),b,2649,a(flip))]. 2651 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(839,a,1564,a),flip(a)]. 2652 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(656(a,1),2651(a,2,2))]. 2653 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(422,a,2652,a)]. 2654 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(255,a,1200,a(flip),b,2653,a),flip(a)]. 2655 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(67(a,1),2653(a,2,1,2))]. 2656 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(924(a,1),2653(a,1,1))]. 2657 L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). [para(20(a,1),2656(a,2,1,2))]. 2658 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(386(a,1),2656(a,2,1,2))]. 2660 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2403(a,1),2658(a,1,1))]. 2661 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2506(a,1),2660(a,1,1))]. 2662 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2661(a,2),390(a,1,1)),flip(a)]. 2663 T(x,L(K(y,y \ 1),y,z)) = x. [para(2661(a,2),2256(a,1,2))]. 2665 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(255,a,2517,a(flip),b,2662,a(flip)),flip(a)]. 2666 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1638(a,1),1585(a,2,1))]. 2667 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1190(a,1),2666(a,2,1,1))]. 2668 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(255,a,35,a,b,2667,a),flip(a)]. 2669 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2667(a,2),466(a,1))]. 2670 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(255,a,1200,a(flip),b,2668,a),flip(a)]. 2671 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(67(a,1),2668(a,2,1,2))]. 2672 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1162(a,1),2668(a,2,1,2))]. 2673 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(225,a,2670,a),flip(a)]. 2675 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [hyper(255,a,953,a,b,979,a)]. 2676 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),((x * y) \ x) \ 1). [para(2675(a,1),129(a,1,1)),flip(a)]. 2677 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),y). [hyper(255,a,2553,a(flip),b,2676,a)]. 2678 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(189(a,2),1047(a,1,2,1,1))]. 2679 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(189(a,2),1049(a,1,2,1,1))]. 2682 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1790(a,1),1178(a,1,1))]. 2683 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2469(a,1),2682(a,1,1))]. 2684 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1175(a,1),2683(a,2,1))]. 2685 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(2684(a,2),624(a,1))]. 2686 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(37(a,2),1215(a,1,1))]. 2687 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2159(a,1),2686(a,2,2))]. 2688 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(826(a,1),1396(a,1,2)),flip(a)]. 2700 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = (x \ 1) * (T(x,y) \ x). [hyper(255,a,2579,a(flip),b,2622,a)]. 2701 (1 / x) * ((T(x,y) \ x) * K(x \ 1,x)) = (x \ 1) * (T(x,y) \ x). [para(1529(a,1),2700(a,1,2,2))]. 2702 (1 / x) * (T(x,y) \ (1 / (1 / x))) = (x \ 1) * (T(x,y) \ x). [para(2633(a,1),2701(a,1,2))]. 2703 (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). [para(2300(a,1),2702(a,1,2))]. 2704 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(2199,a,2703,a),flip(a)]. 2705 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(80,a,2198,a(flip),b,2703,a(flip))]. 2707 T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). [hyper(284,a,2704,a),flip(a)]. 2708 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(255,a,2551,a(flip),b,2705,a(flip)),flip(a)]. 2709 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(255,a,2179,a(flip),b,2705,a(flip)),flip(a)]. 2710 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(2708(a,1),148(a,1,2,1))]. 2711 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(47(a,2),2709(a,1,1,2))]. 2712 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(129(a,1),2709(a,1,1,2)),flip(a)]. 2713 (x * T(x \ 1,y)) \ 1 = T(1 / x,y) \ (1 / x). [para(663(a,1),2709(a,1,1))]. 2714 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1923(a,1),2709(a,1,1,2)),flip(a)]. 2715 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(129(a,1),2712(a,1,1)),flip(a)]. 2716 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(18(a,1),2715(a,1,1,2)),flip(a)]. 2717 (x * T(x \ 1,y)) \ 1 = x \ (T(1 / x,y) \ 1). [hyper(255,a,2707,a(flip),b,2713,a)]. 2719 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(18(a,1),2716(a,1,1)),flip(a)]. 2720 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(2719(a,1),70(a,1,2))]. 2722 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(18(a,1),2714(a,2,1))]. 2724 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(47(a,2),2711(a,2,1))]. 2725 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(255,a,1945,a(flip),b,2678,a)]. 2726 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(255,a,1934,a(flip),b,2679,a)]. 2727 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1018(a,1),2725(a,2,1))]. 2728 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(1017(a,1),2726(a,2,1))]. 2729 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(255,a,461,a(flip),b,772,a)]. 2730 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1391,a,2729,a)]. 2731 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1234(a,1),2730(a,2,1,1))]. 2734 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = L(T(x,y),y,K(z,z \ 1)). [hyper(2277,a,2276,a),flip(a)]. 2735 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(2287,a,2286,a),flip(a)]. 2748 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(18(a,1),1808(a,1,2,1)),flip(a)]. 2749 K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [hyper(255,a,1466,a(flip),b,1889,a)]. 2750 K(x,x \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [para(1888(a,1),2749(a,1,1))]. 2751 L(x \ y,x,K(x,x \ 1)) = K(x,x \ 1) * (((x \ 1) \ 1) \ y). [para(128(a,1),2750(a,1,2,1)),flip(a)]. 2754 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(255,a,1734,a(flip),b,2470,a(flip))]. 2755 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(2183(a,1),2754(a,1,2))]. 2756 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(255,a,2211,a(flip),b,2755,a(flip))]. 2757 T(1 / (1 / x),y) \ T(x,y) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2756(a,1),2206(a,1))]. 2758 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1720(a,1),2657(a,1,1,2)),flip(a)]. 2759 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(60(a,1),2758(a,2,1))]. 2760 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(255,a,325,a(flip),b,2759,a)]. 2763 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2760(a,1),263(a,1,2)),flip(a)]. 2764 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(255,a,17,a(flip),b,2763,a)]. 2765 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2764(a,1),25(a,1)),flip(a)]. 2766 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1962(a,1),1920(a,1,2,1))]. 2767 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(20(a,1),2766(a,1,2)),flip(a)]. 2768 (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). [para(2767(a,1),19(a,1,2)),flip(a)]. 2770 (x \ 1) * K(R(x,y,z),x \ 1) != u | (x \ R(x,y,z)) / R(x,y,z) = u. [para(2767(a,1),220(a,1,2)),flip(b)]. 2771 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. [para(2768(a,2),222(a,1,2)),flip(b)]. 2772 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(2182(a,1),1290(a,1,1,2))]. 2773 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(939(a,1),2772(a,1,1,2)),flip(a)]. 2774 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(942(a,1),2773(a,2,1))]. 2775 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(407(a,1),2774(a,1,1))]. 2776 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(2757,a,2775,a)]. 2778 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(1111(a,1),2089(a,2,2,1))]. 2779 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1925(a,1),2778(a,1,1)),flip(a)]. 2780 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(255,a,2101,a(flip),b,2779,a(flip)),flip(a)]. 2781 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(765(a,1),2155(a,2,1))]. 2782 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(255,a,2688,a(flip),b,2781,a)]. 2783 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1773(a,1),2156(a,2,2,1))]. 2784 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(20(a,1),2783(a,2,2))]. 2785 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [hyper(255,a,2782,a(flip),b,2784,a(flip)),flip(a)]. 2787 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [para(2785(a,1),19(a,1,2))]. 2788 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(255,a,2525,a(flip),b,2787,a)]. 2789 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(22,a,1483,a,b,2788,a),flip(a)]. 2790 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(255,a,615,a(flip),b,2789,a)]. 2791 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2789(a,1),2511(a,1,2))]. 2792 L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). [hyper(255,a,2661,a,b,2790,a(flip)),flip(a)]. 2793 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(2790(a,1),1573(a,1,2))]. 2794 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(255,a,2500,a(flip),b,2792,a)]. 2795 K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). [para(2792(a,1),2665(a,2,1)),flip(a)]. 2797 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(1529(a,1),2794(a,1,1))]. 2798 K((x * y) \ x,y) = K(y \ 1,y). [hyper(255,a,2505,a(flip),b,2795,a(flip))]. 2800 K(x \ (x / y),y) = K(y \ 1,y). [para(21(a,1),2798(a,1,1,1))]. 2801 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(127(a,1),2798(a,1,1,1)),flip(a)]. 2802 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). [para(897(a,1),2800(a,1,1,2)),flip(a)]. 2803 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(37(a,1),2801(a,2,2)),flip(a)]. 2804 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(255,a,1529,a(flip),b,2797,a)]. 2805 (x * (y \ 1)) / K(y \ 1,y) = x * (1 / y). [para(2804(a,1),697(a,1,2))]. 2806 (x / (y \ 1)) * (1 / y) = x / K(y \ 1,y). [para(2804(a,1),699(a,1,2)),flip(a)]. 2807 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1764,a,2805,a)]. 2808 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(520,a,2805,a),flip(a)]. 2809 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(2805(a,1),21(a,1,1))]. 2810 (x * (1 / y)) * y = R(x,y \ 1,y). [para(2805(a,1),1763(a,1,1))]. 2812 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(1034,a,2807,a),flip(a)]. 2813 R(x / (1 / y),y \ 1,y) = x * y. [hyper(479,a,2812,a),flip(a)]. 2817 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(2335(a,1),2810(a,1,1))]. 2820 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [para(2808(a,1),21(a,1,1))]. 2821 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2271,a,2809,a)]. 2822 R(x,1 / y,K(y \ 1,y)) = x. [hyper(758,a,2809,a)]. 2823 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1449(a,1),2822(a,1,3))]. 2824 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(255,a,1471,a(flip),b,2823,a(flip)),flip(a)]. 2825 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2823(a,1),1470(a,1,1)),flip(a)]. 2826 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(255,a,1367,a,b,2820,a(flip)),flip(a)]. 2827 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(255,a,1368,a(flip),b,2820,a(flip))]. 2829 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(255,a,2110,a(flip),b,2824,a(flip)),flip(a)]. 2830 x * K(y,y \ 1) != z * y | z * (1 / (1 / y)) = x. [para(2825(a,1),25(a,1)),flip(a)]. 2831 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2826(a,1),21(a,1,1))]. 2832 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2826(a,1),2813(a,1,1))]. 2835 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(255,a,2538,a(flip),b,2829,a(flip)),flip(a)]. 2836 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(80,a,2829,a(flip),b,2538,a(flip)),flip(a)]. 2839 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(70(a,1),2835(a,1,2,2,2,2)),flip(a)]. 2841 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(70(a,1),2836(a,2,2,2,2))]. 2842 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2836(a,1),73(a,1,1))]. 2843 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(18(a,1),2839(a,2,2,2,2))]. 2844 (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). [para(2839(a,1),73(a,1,1))]. 2846 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(145(a,1),2842(a,1,1,2,2)),flip(a)]. 2847 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2542(a,2),2843(a,1,2))]. 2848 x / L(y,y \ 1,x) = x * (1 / y). [para(70(a,1),2847(a,2,2,2))]. 2849 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2848(a,2),615(a,1,1,2))]. 2850 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(255,a,2653,a,b,2849,a(flip)),flip(a)]. 2852 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(73(a,1),2850(a,1,2))]. 2853 (x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)). [para(37(a,2),2844(a,1,1,2,2,2))]. 2855 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2846(a,1),73(a,1,1))]. 2857 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(255,a,2509,a,b,2855,a(flip)),flip(a)]. 2859 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2857(a,2),19(a,1,2))]. 2861 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(2307,a,2859,a)]. 2865 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(20(a,1),2861(a,1,1)),flip(a)]. 2866 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2861(a,1),1758(a,1,1))]. 2869 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [para(2865(a,1),21(a,1,1))]. 2870 (x / ((y \ 1) \ 1)) * y = K(y \ 1,y) * x. [hyper(255,a,2263,a,b,2866,a)]. 2871 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(20(a,1),2866(a,1,1)),flip(a)]. 2873 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(972(a,1),2866(a,1,1)),flip(a)]. 2876 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2263(a,2),2869(a,1,1))]. 2877 (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. [para(2809(a,1),2869(a,1,1))]. 2878 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [para(602(a,1),2870(a,1,1)),flip(a)]. 2879 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(23,a,465,a,b,2871,a)]. 2882 x * ((y \ 1) \ 1) != z * y | K(y \ 1,y) * z = x. [para(2876(a,1),25(a,1)),flip(a)]. 2884 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(468,a,2879,a)]. 2887 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(255,a,2812,a,b,2884,a)]. 2888 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(1248(a,2),2887(a,1,3))]. 2893 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1197(a,1),2832(a,2,1))]. 2894 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(2500(a,1),2793(a,1,2))]. 2895 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2489(a,1),2894(a,2,2))]. 2896 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2492(a,1),2894(a,2,2))]. 2898 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2249,a,2895,a)]. 2899 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(308,a,2895,a),flip(a)]. 2900 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(255,a,2108,a,b,2895,a(flip)),flip(a)]. 2901 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(127(a,1),2895(a,1,1))]. 2903 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(2249,a,2896,a)]. 2904 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(308,a,2896,a),flip(a)]. 2906 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [hyper(2607,a,2898,a)]. 2907 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2228(a,1),2899(a,1,2))]. 2908 (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(81,a,2297,a(flip),b,2900,a),flip(a)]. 2910 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(23,a,2877,a(flip),b,2900,a)]. 2911 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(23,a,2876,a(flip),b,2900,a)]. 2912 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(23,a,2869,a(flip),b,2900,a)]. 2913 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2882,a,2900,a(flip))]. 2915 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(2830,a,2911,a),flip(a)]. 2916 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(2249,a,2911,a)]. 2917 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(23,a,2377,a(flip),b,2911,a)]. 2918 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(23,a,2247,a(flip),b,2911,a)]. 2919 K(x,x \ 1) \ y = K(x \ 1,x) * y. [hyper(80,a,2911,a(flip),b,2247,a)]. 2921 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2911(a,1),2252(a,2))]. 2924 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2249,a,2912,a)]. 2925 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(308,a,2912,a),flip(a)]. 2926 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(261,a,2912,a)]. 2927 (x / (1 / (1 / y))) * K(y \ 1,y) = x / y. [hyper(23,a,2829,a,b,2912,a)]. 2930 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(2912(a,1),2252(a,2))]. 2931 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2913(a,1),24(a,1)),flip(a)]. 2932 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2913(a,1),114(a,2,1))]. 2934 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(310,a,2916,a),flip(a)]. 2938 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2918(a,1),24(a,1)),flip(a)]. 2939 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2918(a,1),2266(a,1)),flip(a),flip(b)]. 2942 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(255,a,2806,a,b,2925,a(flip)),flip(a)]. 2944 K(x * y,(x * y) \ 1) * ((((x * y) \ 1) * x) * y) = a((x * y) \ 1,x,y). [hyper(912,a,2934,a),flip(a)]. 2946 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2934(a,1),2727(a,1,2,1))]. 2947 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2934(a,1),2728(a,1,2,1))]. 2948 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [hyper(2607,a,2903,a)]. 2951 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(2910(a,1),457(a,1,1))]. 2954 K(x / (y * x),y) = K(y \ 1,y). [hyper(23,a,2399,a,b,2917,a),flip(a)]. 2955 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(21(a,1),2954(a,1,1,2)),flip(a)]. 2957 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(20(a,1),2955(a,2,1))]. 2958 K(x,T(x,y) \ 1) = K(x,x \ 1). [hyper(22,a,2352,a,b,2908,a),flip(a)]. 2959 T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). [hyper(255,a,2243,a,b,2958,a),flip(a)]. 2961 T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). [para(2776(a,1),2959(a,1,1))]. 2963 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2803(a,1),2791(a,1,2)),flip(a)]. 2964 (x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)). [para(2230(a,1),2853(a,1,1,2))]. 2965 K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)). [hyper(255,a,2780,a,b,2961,a(flip))]. 2966 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. [para(127(a,1),2964(a,1,1)),flip(a)]. 2967 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). [para(2966(a,1),73(a,1,1))]. 2968 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. [para(70(a,1),2967(a,1,1,1,1,2)),flip(a)]. 2969 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [para(2968(a,1),73(a,1,1))]. 2971 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). [hyper(255,a,2958,a(flip),b,2965,a(flip)),flip(a)]. 2972 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [para(199(a,1),2971(a,2,2))]. 2973 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(255,a,2776,a(flip),b,2972,a(flip)),flip(a)]. 2974 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(939(a,1),2852(a,1,1))]. 2975 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(255,a,784,a(flip),b,2974,a(flip))]. 2976 T(K(1 / (1 / x),y),x) = K(x,y). [para(2975(a,2),166(a,1,1))]. 2982 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(70(a,1),2888(a,2,2))]. 2983 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(128(a,2),2982(a,1,2))]. 2985 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2776(a,1),2901(a,1,2))]. 2986 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(255,a,2231,a(flip),b,2985,a)]. 2987 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(2973(a,1),2986(a,1,2))]. 2989 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y). [para(200(a,1),2907(a,1,1)),flip(a)]. 2990 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2903(a,1),2946(a,1,2,1))]. 2991 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(2903(a,1),2947(a,1,2,1))]. 2992 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2904(a,1),2991(a,1,2,1))]. 2999 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y). [para(2228(a,1),2989(a,2,2,1))]. 3000 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(255,a,182,a(flip),b,2999,a)]. 3002 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1117(a,1),2802(a,2,1))]. 3003 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(255,a,2544,a(flip),b,3002,a)]. 3008 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2910(a,1),2951(a,1,2)),flip(a)]. 3009 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(255,a,35,a,b,3008,a)]. 3011 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,(z \ 1) \ 1)) = R(x,y,1 / (z \ 1)). [para(128(a,2),3009(a,1,2,2))]. 3012 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). [para(1451(a,1),3011(a,1,3))]. 3013 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). [para(70(a,1),3012(a,2,3))]. 3017 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2030(a,1),2160(a,1,2))]. 3018 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(710,a,3017,a),flip(a)]. 3019 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(255,a,2687,a(flip),b,3018,a(flip)),flip(a)]. 3020 K(x,y / (x * y)) = K(x,x \ 1). [hyper(255,a,2383,a(flip),b,3019,a(flip))]. 3022 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(255,a,2957,a,b,3020,a(flip)),flip(a)]. 3023 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(21(a,1),3020(a,1,2,2)),flip(a)]. 3024 K((x / y) \ 1,x / y) = K(y / x,(y / x) \ 1). [hyper(255,a,2955,a,b,3023,a),flip(a)]. 3026 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(3022(a,1),2384(a,1,1))]. 3027 K(x \ 1,x) * (T(x,x \ 1) * y) = x * y. [hyper(2921,a,3026,a)]. 3028 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2253,a,3026,a)]. 3029 T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. [hyper(533,a,3026,a)]. 3030 L(x,y,K(y,y \ 1)) = x. [hyper(1467,a,3026,a(flip))]. 3032 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(81,a,3026,a(flip),b,1823,a(flip))]. 3035 L(x,K(y,y \ 1),y) = x. [hyper(255,a,1830,a,b,3030,a(flip)),flip(a)]. 3036 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(255,a,2751,a(flip),b,3030,a(flip)),flip(a)]. 3037 L(x,K(y,y \ 1),1 / (1 / y)) = x. [hyper(255,a,1899,a(flip),b,3030,a(flip)),flip(a)]. 3038 L(x,K(y \ 1,y),1 / y) = x. [hyper(255,a,1832,a(flip),b,3030,a(flip)),flip(a)]. 3039 L(x,1 / y,K(1 / y,y)) = x. [para(73(a,1),3030(a,1,3,2))]. 3040 L(x,1 / y,K(y \ 1,y)) = x. [para(1529(a,1),3030(a,1,3))]. 3042 x * (((x \ 1) \ 1) \ y) = K(x,x \ 1) \ y. [hyper(255,a,1796,a(flip),b,3035,a(flip)),flip(a)]. 3043 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(2559,a,3038,a)]. 3044 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(2558,a,3038,a)]. 3047 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(3038(a,1),696(a,1,2)),flip(a)]. 3049 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1534(a,1),3039(a,1,3))]. 3050 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(255,a,2098,a(flip),b,3040,a(flip)),flip(a)]. 3051 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(3040(a,1),1487(a,1,2)),flip(a)]. 3052 L(x \ y,x,x \ 1) = (1 / x) * y. [para(3040(a,1),1994(a,1,1,2))]. 3056 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(3044(a,1),689(a,2,1))]. 3058 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [para(3037(a,1),1469(a,1,2)),flip(a)]. 3060 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(190(a,1),3043(a,1,2)),flip(a)]. 3061 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(3043(a,1),268(a,1,1))]. 3063 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(3049(a,1),1507(a,1,2)),flip(a)]. 3065 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(3052(a,1),2620(a,1,2))]. 3067 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(1408,a,3027,a),flip(a)]. 3069 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(255,a,273,a(flip),b,3028,a)]. 3070 x * (y * K(x,x \ 1)) = T(x,x \ 1) * y. [hyper(255,a,2599,a(flip),b,3028,a(flip)),flip(a)]. 3072 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2924(a,1),3029(a,1,2)),flip(a)]. 3074 R(x,K(x,x \ 1),y) = x. [hyper(1528,a,3032,a)]. 3075 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1529(a,1),3074(a,1,2))]. 3076 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(3075(a,1),2670(a,1,1)),flip(a)]. 3077 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [hyper(2930,a,3036,a)]. 3078 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(2921,a,3036,a)]. 3080 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(3036(a,1),2906(a,1,1)),flip(a)]. 3083 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(80,a,2919,a(flip),b,3042,a)]. 3084 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [hyper(255,a,2281,a(flip),b,3047,a(flip)),flip(a)]. 3088 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2918(a,1),3047(a,1,2)),flip(a)]. 3090 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2938,a,3050,a)]. 3094 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(3050(a,1),2096(a,1,2))]. 3096 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2938,a,3051,a)]. 3097 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(2931,a,3051,a)]. 3099 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(3051(a,1),35(a,2,2)),flip(a)]. 3100 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(3051(a,1),484(a,1,1))]. 3101 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(3051(a,1),424(a,1,1))]. 3105 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [para(2916(a,1),3058(a,1,2)),flip(a)]. 3106 x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. [para(2924(a,1),3058(a,1,2)),flip(a)]. 3107 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(2930,a,3063,a)]. 3108 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(263(a,1),3063(a,1,2))]. 3109 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(255,a,273,a(flip),b,3067,a(flip)),flip(a)]. 3110 (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). [para(3067(a,1),598(a,1,1))]. 3112 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(22,a,2987,a,b,3069,a),flip(a)]. 3116 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(255,a,2972,a,b,3112,a(flip)),flip(a)]. 3120 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(80,a,3116,a(flip),b,1448,a(flip))]. 3124 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(3116(a,1),3000(a,1,2))]. 3125 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1460,a,3120,a)]. 3126 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(255,a,2246,a(flip),b,3120,a(flip)),flip(a)]. 3127 (1 / T(x,y)) * x = T(x,y) \ x. [para(3126(a,1),21(a,1,1))]. 3128 x / T(x,y) = T(x,y) \ x. [hyper(1350,a,3127,a)]. 3129 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(172,a,3127,a,b,1083,a)]. 3132 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(255,a,2020,a,b,3128,a(flip)),flip(a)]. 3133 (T(x,y) \ x) * T(x,y) = x. [para(3128(a,1),21(a,1,1))]. 3134 (T(x,y) \ x) \ x = T(x,y). [para(3128(a,1),73(a,1,1))]. 3135 L(x,T(x,y) \ x,x) = x. [hyper(255,a,2452,a,b,3133,a(flip)),flip(a)]. 3137 (x * y) * T(K(y,x),x) = y * x. [para(3135(a,1),2451(a,1,2)),flip(a)]. 3138 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(255,a,2291,a,b,3129,a(flip)),flip(a)]. 3139 T(K(x,y),y) = K(x,y). [hyper(265,a,3137,a),flip(a)]. 3140 T(x,K(y,x)) = x. [hyper(40,a,3139,a)]. 3141 K(x,y) * y = y * K(x,y). [para(3139(a,1),127(a,1,2)),flip(a)]. 3142 (x * K(y,x)) / x = K(y,x). [para(3139(a,1),167(a,1,1,2))]. 3143 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(3139(a,1),183(a,1,2,1)),flip(a)]. 3144 T(T(x,y),K(z,x)) = T(x,y). [para(3140(a,1),43(a,1,1)),flip(a)]. 3147 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(3140(a,1),361(a,1,2,1))]. 3150 T(x,y * T(y \ 1,x)) = x. [para(1200(a,1),3140(a,1,2))]. 3151 T(x,y \ T(y,x)) = x. [para(1204(a,1),3140(a,1,2))]. 3152 T(x,x \ ((y * x) / y)) = x. [para(1575(a,1),3140(a,1,2))]. 3153 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(3140(a,1),2645(a,1,1,1)),flip(a)]. 3154 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(3151(a,1),127(a,1,2))]. 3155 (x \ T(x,y)) * T(y,z) != u | T(y,z) * (x \ T(x,y)) = u. [para(3151(a,1),361(a,1,2,1))]. 3157 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(3141(a,1),122(a,1,2))]. 3159 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(3141(a,1),454(a,2,2))]. 3160 ((x * K(y,z)) * z) / (z * K(y,z)) != u | R(x,K(y,z),z) = u. [para(3141(a,1),466(a,1,2))]. 3161 L(K(x,y),y,1 / y) = K(x,y). [hyper(255,a,2577,a,b,3142,a(flip)),flip(a)]. 3162 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(255,a,1376,a,b,3142,a(flip)),flip(a)]. 3164 T(K(x,y),T(y,z)) = K(x,y). [hyper(40,a,3144,a)]. 3166 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(40,a,3150,a)]. 3167 ((x * y) / x) / y = y \ ((x * y) / x). [para(3152(a,1),199(a,1,2))]. 3168 K(K(x,y),T(y,z)) = 1. [hyper(41,a,3164,a)]. 3169 K(x \ T(x,y),T(y,z)) = 1. [para(1204(a,1),3168(a,1,1))]. 3170 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(42,a,3169,a)]. 3171 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(366,a,3161,a)]. 3174 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(80,a,3171,a(flip),b,140,a(flip)),flip(a)]. 3177 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [para(3138(a,1),21(a,1,1))]. 3178 x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x). [para(3154(a,1),1101(a,1,2,2))]. 3179 x * (((y * x) / y) / x) = (y * x) / y. [para(3167(a,2),19(a,1,2))]. 3180 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(787(a,1),3167(a,1,1)),flip(a)]. 3181 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(315,a,3177,a)]. 3182 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [para(3177(a,1),687(a,1,2))]. 3184 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1624(a,1),3179(a,1,2))]. 3186 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [hyper(255,a,2803,a,b,3181,a(flip)),flip(a)]. 3187 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(255,a,3003,a(flip),b,3181,a(flip))]. 3188 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3181(a,1),2234(a,1,2))]. 3190 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3181(a,1),2963(a,2,2))]. 3192 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [para(564(a,1),3070(a,2,1))]. 3193 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [para(18(a,1),3077(a,1,1)),flip(a)]. 3195 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(255,a,956,a(flip),b,3078,a(flip)),flip(a)]. 3200 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1524(a,1),3083(a,1,2,1))]. 3201 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [para(3050(a,1),3083(a,1,2)),flip(a)]. 3203 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(2015,a,3088,a),flip(a)]. 3204 L(K(x,x \ 1) * y,x \ 1,x) = x * ((1 / x) * y). [para(3088(a,1),190(a,1,2)),flip(a)]. 3206 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(255,a,2263,a(flip),b,3094,a)]. 3207 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1334(a,1),3094(a,1,2)),flip(a)]. 3208 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(1828,a,3096,a)]. 3209 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(3096(a,1),143(a,1,1,2))]. 3210 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3096(a,1),431(a,1,2,2))]. 3211 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1016,a,3208,a)]. 3213 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(70(a,1),3211(a,1,2)),flip(a)]. 3215 ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). [hyper(81,a,3097,a(flip),b,2942,a)]. 3218 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(1409,a,3105,a),flip(a)]. 3219 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(3181(a,1),3105(a,1,2,1))]. 3220 (1 / (1 / x)) * (y / (1 / (1 / x))) = x * (y / x). [para(2927(a,1),3106(a,1,2)),flip(a)]. 3221 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2789(a,1),3107(a,1,2))]. 3222 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(3107(a,1),2831(a,1,1))]. 3223 T(x,L(K(y,x),z,u)) = x. [hyper(173,a,3143,a)]. 3227 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(3166(a,1),1413(a,1,2)),flip(a)]. 3228 (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). [hyper(2770,a,3174,a)]. 3229 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(3182(a,2),1083(a,1,2))]. 3232 x * (T(x,y) / x) = T(x,y). [hyper(23,a,2023,a,b,3188,a),flip(a)]. 3234 T(x,y) / x = x \ T(x,y). [hyper(87,a,3232,a),flip(a)]. 3236 (x \ T(x,y)) * x = T(x,y). [para(3232(a,1),75(a,1,1,2))]. 3237 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(1862,a,3234,a),flip(a)]. 3238 (1 / x) * T(x,y) = x \ T(x,y). [hyper(1371,a,3234,a)]. 3239 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(943,a,3234,a)]. 3240 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(874,a,3234,a),flip(a)]. 3241 (x \ T(x,y)) * x != z | T(x,y) = z. [para(3234(a,1),226(a,1,1)),flip(b)]. 3242 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(3234(a,1),123(a,1,1))]. 3243 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(3234(a,1),474(a,1,1))]. 3246 (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. [para(3234(a,1),2204(a,1,1))]. 3247 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3234(a,1),2586(a,1,1,2))]. 3248 T(x,x \ T(x,y)) = x. [hyper(286,a,3236,a)]. 3249 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(255,a,1597,a,b,3236,a(flip)),flip(a)]. 3250 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3236(a,1),33(a,2,1)),flip(a)]. 3251 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(128(a,1),3236(a,1,1,2))]. 3252 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(3236(a,1),112(a,1,1))]. 3253 R(x,y \ T(y,z),y) * T(y,z) = (x * (y \ T(y,z))) * y. [para(3236(a,1),122(a,1,2))]. 3254 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(3236(a,1),466(a,1,1,1))]. 3255 T(x,y) = K(y \ (y / (x \ 1)),y) * x. [para(1204(a,2),3236(a,1,1)),flip(a)]. 3256 L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). [para(3236(a,1),864(a,1,1)),flip(a)]. 3257 K(x,x \ T(x,y)) = 1. [hyper(41,a,3248,a)]. 3258 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1204(a,2),3248(a,1,2))]. 3259 K(x,T(x,y) / x) = 1. [para(3234(a,2),3257(a,1,2))]. 3260 T(1 / x,T(x,y)) = x \ 1. [hyper(80,a,3259,a(flip),b,1135,a),flip(a)]. 3261 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(255,a,73,a(flip),b,3260,a)]. 3262 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(255,a,1863,a(flip),b,3260,a(flip)),flip(a)]. 3263 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3260(a,1),185(a,1,1)),flip(a)]. 3264 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3260(a,1),352(a,2,1))]. 3265 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3260(a,1),1206(a,1,1)),flip(a)]. 3266 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(255,a,1289,a(flip),b,3258,a(flip)),flip(a)]. 3267 T(x,T(1 / x,y)) = T(x,x \ 1). [para(3261(a,1),1440(a,1,1)),flip(a)]. 3271 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3267(a,1),1898(a,1,1))]. 3273 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,K(x \ (x / (y \ 1)),x) * y). [para(3255(a,2),566(a,1,2,2))]. 3275 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(3266(a,1),19(a,1,2))]. 3277 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1159(a,1),3266(a,1,1,1,1))]. 3280 T(x,x / (y * x)) = T(x,x / (x * y)). [para(163(a,1),3249(a,1,2))]. 3283 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(167(a,1),3262(a,1,3,2))]. 3284 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2396(a,1),3195(a,1,2))]. 3285 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(447,a,3213,a),flip(a)]. 3287 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(255,a,2915,a(flip),b,3218,a)]. 3289 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3240(a,1),666(a,2,1)),flip(a)]. 3290 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(3240(a,1),2709(a,1,1))]. 3292 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3263(a,1),3265(a,1,2)),flip(a)]. 3293 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(255,a,289,a(flip),b,3292,a)]. 3296 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3293(a,1),1015(a,1,1,2))]. 3297 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(3056(a,1),3275(a,1,1,1,1))]. 3298 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3237(a,1),2708(a,1,2)),flip(a)]. 3299 T(x,y \ ((x * y) / x)) = x. [para(3237(a,1),3248(a,1,2))]. 3300 T(x,T(y,x) \ y) = x. [para(167(a,1),3299(a,1,2,2))]. 3301 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(3300(a,1),127(a,1,2))]. 3303 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(255,a,1861,a,b,3301,a(flip)),flip(a)]. 3304 x \ ((x * (T(y,x) \ y)) \ x) = ((T(y,x) \ y) * x) \ 1. [para(3301(a,1),2002(a,1,2,1))]. 3305 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3301(a,1),2162(a,1,1,2,1))]. 3306 L(x,x \ T(x,y),x) = x. [hyper(255,a,70,a(flip),b,3256,a)]. 3308 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(3193(a,1),3285(a,1,1))]. 3309 K(1 / x,y) = K(x \ 1,y). [hyper(255,a,2850,a(flip),b,3289,a(flip)),flip(a)]. 3310 K(1 / (1 / x),y) = K(x,y). [hyper(255,a,616,a(flip),b,3309,a)]. 3311 K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [hyper(255,a,1002,a(flip),b,3309,a(flip))]. 3312 K((x \ 1) \ 1,y) = K(x,y). [para(70(a,1),3309(a,1,1)),flip(a)]. 3315 T(K(x,y),x) = K(x,y). [para(3310(a,1),2976(a,1,1))]. 3316 T(x,K(x,y)) = x. [hyper(40,a,3315,a)]. 3318 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(255,a,2677,a,b,3315,a(flip)),flip(a)]. 3321 T(T(x,y),K(x,z)) = T(x,y). [para(3316(a,1),43(a,1,1)),flip(a)]. 3322 K(x,y) * x != z | x * K(x,y) = z. [para(3316(a,1),225(a,1,2))]. 3330 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(2969(a,1),3312(a,1,1)),flip(a)]. 3332 T(K(x,y),T(x,z)) = K(x,y). [hyper(40,a,3321,a)]. 3335 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3332(a,1),225(a,1,2))]. 3342 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(255,a,3187,a(flip),b,3024,a(flip))]. 3343 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(255,a,3186,a(flip),b,3342,a)]. 3348 T(x \ 1,T(x,y) \ x) = x \ 1. [para(3132(a,1),2341(a,1,2))]. 3349 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3132(a,1),2817(a,1,1,2)),flip(a)]. 3350 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(40,a,3348,a)]. 3351 (T(x,y) \ x) * (x \ 1) = (x \ 1) * (T(x,y) \ x). [para(3348(a,1),127(a,1,2))]. 3352 (K(x,y) \ y) * K(x,y) = y. [hyper(22,a,104,a(flip),b,3153,a)]. 3353 x / K(y,x) = K(y,x) \ x. [hyper(96,a,3352,a)]. 3356 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(263(a,1),3222(a,1,1)),flip(a)]. 3358 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(2630,a,3229,a)]. 3359 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(255,a,273,a(flip),b,3271,a(flip)),flip(a)]. 3361 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3271(a,1),599(a,1,1))]. 3364 (((x \ 1) \ 1) \ y) / y = (((x \ y) / y) \ 1) \ 1. [hyper(81,a,3284,a(flip),b,2238,a)]. 3365 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(73(a,1),3284(a,1,2,1,1,2)),flip(a)]. 3367 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(37(a,2),3287(a,1,2))]. 3368 T(x,1 / (1 / y)) = T(x,y). [hyper(358,a,3367,a),flip(a)]. 3370 T(x,1 / y) = T(x,y \ 1). [para(70(a,1),3368(a,1,2,2))]. 3371 T(x,(y \ 1) \ 1) = T(x,y). [para(145(a,1),3368(a,1,2)),flip(a)]. 3373 T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). [hyper(255,a,715,a(flip),b,3370,a(flip))]. 3377 T(x,T(y,y \ 1)) = T(x,y). [para(128(a,2),3371(a,1,2))]. 3378 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(1248(a,2),3371(a,1,2))]. 3385 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(3377(a,1),127(a,1,2))]. 3386 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [para(3377(a,1),595(a,1,2))]. 3388 (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(3386(a,2),499(a,2,1))]. 3389 T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(3203(a,1),3373(a,1,1,1))]. 3390 T(x \ 1,y) \ (x \ 1) = x \ (T(1 / x,y) \ 1). [hyper(255,a,2717,a(flip),b,3290,a(flip))]. 3391 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1062(a,2),3290(a,1,1)),flip(a)]. 3392 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1555(a,1),3290(a,1,1)),flip(a)]. 3393 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(3343(a,1),1456(a,1,1))]. 3394 (T(x,y) \ x) * (x \ 1) = T(x,y) \ 1. [hyper(255,a,2704,a(flip),b,3351,a)]. 3399 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(3358(a,1),3084(a,1,2)),flip(a)]. 3400 ((((1 / x) \ y) / y) \ 1) \ 1 = ((x \ 1) \ y) / y. [para(73(a,1),3364(a,1,1,1,1)),flip(a)]. 3401 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(3365(a,1),70(a,1,2))]. 3404 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2238(a,2),3401(a,1,2))]. 3408 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [para(20(a,1),3404(a,1,2,1,1,1))]. 3412 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(255,a,2720,a(flip),b,3298,a)]. 3414 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(167(a,1),3412(a,2,1))]. 3415 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(3206(a,2),3308(a,1,1))]. 3420 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3303(a,1),3414(a,1,1))]. 3421 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(3420(a,1),70(a,1,2))]. 3422 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(954(a,1),3421(a,1,2,2))]. 3423 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3060(a,2),2324(a,1,1))]. 3430 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(2230(a,1),3219(a,2,1))]. 3431 x \ ((x * (T(y,x) \ y)) \ x) = (x * (T(y,x) \ y)) \ 1. [para(3301(a,1),3304(a,2,1))]. 3435 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(255,a,2917,a(flip),b,3393,a(flip)),flip(a)]. 3436 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(255,a,3408,a,b,3435,a)]. 3437 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(122(a,1),3435(a,2,1,1,2))]. 3438 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(3435(a,2),3371(a,1,2))]. 3439 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(255,a,160,a,b,3436,a),flip(a)]. 3440 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [para(3436(a,2),73(a,1,1))]. 3443 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(255,a,3280,a(flip),b,3438,a)]. 3444 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(163(a,2),3438(a,2,2)),flip(a)]. 3446 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(73(a,1),3440(a,1,1,1))]. 3447 (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). [hyper(255,a,1595,a,b,3444,a(flip)),flip(a)]. 3448 R(x,1 / x,y) \ y = (x \ 1) * y. [para(73(a,1),3446(a,2,1,1))]. 3449 R(x,1 / x,y) = y / ((x \ 1) * y). [para(3448(a,1),70(a,1,2)),flip(a)]. 3450 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(255,a,160,a,b,3449,a)]. 3451 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(3450(a,1),1496(a,1,1))]. 3452 x * ((x * (((x * y) * (x \ 1)) / (x * y))) * y) = T(x * y,R(x \ 1,x,x * y)). [hyper(255,a,2355,a(flip),b,3447,a(flip)),flip(a)]. 3453 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [para(3439(a,2),3447(a,2,2)),flip(a)]. 3454 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3399(a,1),2050(a,1,1)),flip(a)]. 3457 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(80,a,19,a(flip),b,3430,a),flip(a)]. 3458 (x * (T(y,x) \ y)) \ 1 = x \ (y \ T(y,x)). [para(3420(a,1),3431(a,1,2)),flip(a)]. 3459 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2931,a,3457,a)]. 3462 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1451(a,1),3459(a,1,2))]. 3463 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(3228(a,2),19(a,1,2))]. 3464 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3250(a,1),1101(a,1,2)),flip(a)]. 3465 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(19(a,1),3464(a,1,1)),flip(a)]. 3466 L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u. [para(3464(a,2),24(a,1))]. 3467 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(255,a,2324,a,b,3252,a(flip)),flip(a)]. 3470 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(255,a,1496,a(flip),b,3451,a(flip))]. 3471 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(255,a,350,a(flip),b,3470,a(flip))]. 3472 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). [para(3463(a,1),1382(a,1,1)),flip(a)]. 3473 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(3471(a,2),107(a,1,2,2))]. 3475 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2507(a,1),3221(a,1,2))]. 3476 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3234(a,1),3247(a,2,2,1,2))]. 3478 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(255,a,3301,a(flip),b,3305,a)]. 3479 K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). [para(3370(a,1),3311(a,2,1,1))]. 3486 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3420(a,1),3478(a,1,1,2))]. 3487 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(22,a,3476,a(flip),b,3486,a(flip)),flip(a)]. 3488 (x * (y \ T(y,x))) * (T(y,x) \ y) = x. [para(3487(a,1),19(a,1,2))]. 3490 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(396(a,1),3243(a,2,1))]. 3491 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2948(a,1),3389(a,1,1))]. 3493 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(1912(a,1),3453(a,2,1))]. 3494 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(3127(a,1),3454(a,1,1)),flip(a)]. 3498 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. [para(3493(a,2),3322(a,1))]. 3499 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(3116(a,1),3124(a,1,2))]. 3502 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(3499(a,1),3192(a,1,2))]. 3507 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3391(a,1),3283(a,1,3))]. 3508 T(x,K(y,x) \ 1) = x. [para(3391(a,1),3300(a,1,2))]. 3509 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3508(a,1),127(a,1,2))]. 3510 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3509(a,1),162(a,2,1)),flip(a)]. 3511 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(255,a,3507,a(flip),b,3510,a)]. 3514 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(70(a,1),3462(a,2,1,1,2))]. 3515 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2939,a,3514,a)]. 3516 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(18(a,1),3515(a,1,2)),flip(a)]. 3517 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [para(3516(a,1),19(a,1,2))]. 3518 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2014(a,2),3517(a,1,2))]. 3519 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(3090(a,1),3517(a,1,2)),flip(a)]. 3520 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3519(a,1),1078(a,1,2))]. 3522 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1451(a,1),3475(a,1,2))]. 3523 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2610(a,1),3100(a,1,2))]. 3524 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3523(a,1),1647(a,2,2,1,2)),flip(a)]. 3535 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(73(a,1),3502(a,1,2,1,1,1))]. 3536 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(22,a,3047,a,b,3535,a),flip(a)]. 3537 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(81,a,3520,a(flip),b,3535,a(flip))]. 3538 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3536(a,1),3109(a,1,2))]. 3540 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(3437(a,1),470(a,1,1))]. 3541 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(255,a,385,a,b,3356,a),flip(a)]. 3551 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(3200(a,1),3518(a,1,2))]. 3552 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(128(a,2),3551(a,1,2,1))]. 3553 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2841(a,1),3522(a,2,1))]. 3554 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3553(a,1),2893(a,1,1))]. 3555 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(255,a,3494,a(flip),b,3349,a)]. 3556 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(3132(a,1),3555(a,1,1))]. 3557 T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). [para(1970(a,1),3452(a,1,2)),flip(a)]. 3558 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(924(a,1),3554(a,2,1,2))]. 3559 K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). [para(2876(a,1),3110(a,1,2)),flip(a)]. 3560 K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x). [hyper(255,a,31,a,b,3559,a)]. 3562 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x). [para(3078(a,1),3560(a,1,1))]. 3563 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(787(a,1),3180(a,1,2)),flip(a)]. 3564 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(255,a,1993,a(flip),b,3563,a(flip))]. 3569 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3465(a,1),3467(a,1,1))]. 3570 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(255,a,186,a(flip),b,3569,a(flip)),flip(a)]. 3571 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(18(a,1),3570(a,1,1)),flip(a)]. 3572 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(80,a,3306,a(flip),b,3571,a)]. 3573 (x \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x). [para(1100(a,1),3571(a,1,2))]. 3574 L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). [para(3125(a,1),3571(a,1,2)),flip(a)]. 3575 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1923(a,1),3572(a,1,1,2)),flip(a)]. 3576 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3237(a,1),3572(a,1,1)),flip(a)]. 3577 T(x,T(y,x)) * (y \ T(y,x)) = L(x,y \ T(y,x),y). [hyper(3155,a,3573,a)]. 3578 L(1 / x,x \ T(x,y),x) = 1 / x. [hyper(255,a,3246,a(flip),b,3574,a)]. 3580 x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). [para(3578(a,1),565(a,2,1))]. 3581 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3412(a,1),3576(a,1,2)),flip(a)]. 3582 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(167(a,1),3581(a,1,1,2)),flip(a)]. 3583 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(167(a,1),3582(a,1,2,1)),flip(a)]. 3584 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(3583(a,1),19(a,1,2))]. 3585 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(18(a,1),3575(a,2,1))]. 3587 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2722(a,1),3585(a,1,2))]. 3588 x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). [para(19(a,1),3580(a,1,2,2,2))]. 3590 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). [para(3260(a,1),3588(a,1,2,2)),flip(a)]. 3591 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). [para(1240(a,1),3590(a,2,2))]. 3593 (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). [hyper(255,a,190,a(flip),b,3591,a)]. 3594 L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). [hyper(310,a,3593,a),flip(a)]. 3596 L(x \ T(x,y),x \ 1,x) = x \ T(x,y). [hyper(255,a,3238,a(flip),b,3594,a)]. 3597 L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). [para(1923(a,1),3596(a,1,1,2))]. 3598 x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). [para(18(a,1),3597(a,1,1)),flip(a)]. 3600 L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). [para(1923(a,1),3598(a,1,2)),flip(a)]. 3601 L(K(x,y),x \ 1,x) = K(x,y). [hyper(255,a,18,a(flip),b,3600,a)]. 3604 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(80,a,3601,a(flip),b,190,a),flip(a)]. 3605 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(1286,a,3604,a)]. 3608 K(x,y) \ (x \ K(x,y)) != z | x \ 1 = z. [para(3605(a,1),222(a,1,2)),flip(b)]. 3609 K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z. [para(3605(a,1),416(a,1,2))]. 3611 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(255,a,1930,a(flip),b,3472,a)]. 3612 T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(255,a,3280,a,b,3611,a(flip)),flip(a)]. 3613 R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(255,a,47,a,b,3612,a(flip)),flip(a)]. 3614 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(2382(a,1),3613(a,1,1)),flip(a)]. 3615 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(80,a,1069,a,b,3614,a)]. 3617 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(255,a,1277,a(flip),b,3615,a(flip)),flip(a)]. 3618 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(3615(a,1),2724(a,1,1)),flip(a)]. 3619 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(255,a,3463,a,b,3617,a),flip(a)]. 3620 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(2005(a,2),3619(a,1,2))]. 3621 K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. [para(3618(a,1),2685(a,1))]. 3622 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1159(a,1),3277(a,2,1))]. 3631 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3538(a,1),3361(a,1,2))]. 3632 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3631(a,1),431(a,1))]. 3633 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2311,a,3540,a)]. 3634 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(3075(a,1),3076(a,2,2,1,1))]. 3635 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(255,a,3239,a(flip),b,3634,a)]. 3637 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3239(a,1),3635(a,1,1))]. 3638 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3637(a,1),3296(a,1,1))]. 3639 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3293(a,1),3638(a,2,1))]. 3641 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3639(a,1),19(a,1,2))]. 3643 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(255,a,2281,a(flip),b,3641,a(flip)),flip(a)]. 3644 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(3051(a,1),3101(a,1,2)),flip(a)]. 3645 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3644(a,2),431(a,1))]. 3646 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(20(a,1),3297(a,1,1,1))]. 3648 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3646(a,1),25(a,1)),flip(a)]. 3676 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3318(a,1),3422(a,1,2)),flip(a)]. 3677 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(255,a,3353,a(flip),b,3676,a)]. 3678 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(3392(a,1),3676(a,1,2))]. 3679 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(18(a,1),3678(a,1,2,1,2,2,1))]. 3680 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(127(a,1),3679(a,1,2,1,2))]. 3681 x * (K(y,x) \ 1) = x / K(y,x). [para(31(a,2),3680(a,1,2,1))]. 3682 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(255,a,3353,a(flip),b,3681,a)]. 3684 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(80,a,3682,a(flip),b,3509,a)]. 3685 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3682(a,1),24(a,1))]. 3687 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3682(a,1),3511(a,1,1))]. 3689 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3684(a,1),925(a,1,2,1))]. 3690 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3687(a,1),19(a,1,2))]. 3691 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3690(a,1),2879(a,1,1)),flip(a)]. 3692 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(255,a,274,a(flip),b,3689,a(flip))]. 3694 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(255,a,381,a(flip),b,3692,a(flip))]. 3695 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(255,a,3694,a(flip),b,3691,a)]. 3696 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3695(a,1),2731(a,1,2,2))]. 3697 x \ ((((x * y) \ x) \ 1) \ T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3677(a,1),3458(a,1,1)),flip(a)]. 3701 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(533,a,3696,a),flip(a)]. 3702 K(x,(y \ 1) \ 1) = K(x,y). [hyper(255,a,598,a(flip),b,3701,a),flip(a)]. 3706 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [hyper(255,a,3562,a(flip),b,3702,a(flip))]. 3707 K(x,1 / y) = K(x,y \ 1). [para(73(a,1),3702(a,1,2,1)),flip(a)]. 3713 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(3400(a,1),3702(a,1,2)),flip(a)]. 3723 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(3201(a,1),3706(a,1,1))]. 3725 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(255,a,3473,a,b,3713,a(flip)),flip(a)]. 3726 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(255,a,963,a,b,3723,a(flip)),flip(a)]. 3727 x \ (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3240(a,1),3697(a,1,2))]. 3728 (K(x,y) \ y) \ 1 = y \ K(x,y). [para(953(a,2),3727(a,1,2)),flip(a)]. 3729 1 / (x \ K(y,x)) = K(y,x) \ x. [para(3728(a,1),70(a,1,2))]. 3730 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3415(a,1),3423(a,1,1))]. 3731 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3239(a,1),3524(a,2,1))]. 3732 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(112(a,1),1394(a,1,2,1,1))]. 3733 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1391,a,3732,a),flip(a)]. 3734 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(821(a,1),3733(a,2,2))]. 3735 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(422,a,3734,a),flip(a)]. 3736 L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [hyper(255,a,1155,a(flip),b,3735,a(flip))]. 3737 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1732(a,1),3736(a,1,1,2)),flip(a)]. 3738 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(255,a,2655,a(flip),b,3737,a)]. 3739 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(23,a,189,a(flip),b,3738,a)]. 3740 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(73(a,1),3739(a,1,1))]. 3741 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(1020(a,1),3740(a,1,2))]. 3742 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(3741(a,1),21(a,1,1))]. 3743 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2765,a,3742,a)]. 3744 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1868(a,1),3743(a,1,1)),flip(a)]. 3745 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(255,a,2413,a(flip),b,2416,a)]. 3746 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1242(a,1),3388(a,1,1))]. 3747 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1242(a,1),3746(a,1,2,3))]. 3748 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2983(a,1),3747(a,1,2)),flip(a)]. 3749 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(2302(a,1),3748(a,1,1)),flip(a)]. 3750 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(3386(a,1),3748(a,1,1))]. 3751 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(1242(a,1),3750(a,1,2))]. 3752 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(255,a,3378,a(flip),b,3751,a(flip))]. 3753 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(255,a,3491,a(flip),b,3752,a)]. 3754 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(255,a,2812,a(flip),b,3753,a)]. 3755 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(255,a,3754,a(flip),b,3749,a(flip)),flip(a)]. 3756 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(1242(a,1),3755(a,2,2))]. 3757 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(255,a,3378,a(flip),b,3756,a)]. 3758 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(255,a,3350,a(flip),b,3757,a)]. 3759 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(2705(a,1),3758(a,1,1))]. 3760 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(255,a,3556,a(flip),b,3759,a(flip)),flip(a)]. 3761 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(3760(a,1),841(a,1,1))]. 3762 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(255,a,443,a(flip),b,3761,a(flip))]. 3763 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(255,a,31,a,b,3762,a),flip(a)]. 3764 L(K(x,y),y \ 1,y) = K(x,y). [para(31(a,2),3763(a,2,1)),flip(a)]. 3767 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(73(a,1),3541(a,1,1,3))]. 3768 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2812(a,1),3767(a,1,1))]. 3769 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1242(a,1),2672(a,1,1,2,1))]. 3770 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1710(a,1),3769(a,1,1,2)),flip(a)]. 3772 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3385(a,1),3770(a,2,1))]. 3773 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(169(a,1),3772(a,2,1))]. 3774 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(255,a,328,a(flip),b,3773,a)]. 3777 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3774(a,1),263(a,1,2)),flip(a)]. 3778 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. [hyper(255,a,17,a(flip),b,3777,a)]. 3779 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(3778(a,1),304(a,1,1)),flip(b)]. 3780 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(112(a,1),1855(a,1,2,1,2,1))]. 3781 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(255,a,1331,a(flip),b,3780,a(flip))]. 3782 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1053(a,1),3781(a,2,2))]. 3783 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(422,a,3782,a),flip(a)]. 3784 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(19(a,1),3783(a,1,2,1)),flip(a)]. 3785 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(255,a,1448,a,b,3784,a)]. 3786 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1914(a,1),3785(a,1,1))]. 3787 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(122(a,1),1857(a,1,1,1,2,2)),flip(a)]. 3788 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(255,a,789,a(flip),b,3787,a)]. 3789 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(255,a,2409,a(flip),b,3788,a)]. 3790 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(789(a,1),3789(a,1,1))]. 3791 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1903(a,1),3790(a,2,1))]. 3792 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(23,a,122,a,b,3791,a)]. 3793 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1910,a,3792,a),flip(a)]. 3794 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(19(a,1),3792(a,1,2,1)),flip(a)]. 3795 R(K(x,(x / y) / x),z,u) = K(x,(x / R(y,z,u)) / x). [para(1909(a,2),3793(a,1,1))]. 3796 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(255,a,1448,a,b,3794,a)]. 3797 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1159(a,1),3796(a,1,1,2,1))]. 3798 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3463(a,1),3797(a,1,1))]. 3799 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(35(a,2),1879(a,2,2,1,1))]. 3800 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1902(a,1),3799(a,1,1))]. 3801 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1639(a,1),3800(a,1,1,1))]. 3802 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(466,a,3801,a),flip(a)]. 3804 R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [hyper(255,a,1164,a(flip),b,3802,a(flip))]. 3808 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1713(a,1),3804(a,1,1,2)),flip(a)]. 3809 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(23,a,2673,a(flip),b,3808,a)]. 3810 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(3779,a,3809,a)]. 3812 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(73(a,1),3810(a,1,2))]. 3813 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1180(a,1),3812(a,1,1))]. 3814 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1172(a,1),3813(a,1,1)),flip(a)]. 3815 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(33(a,2),1906(a,2,2,1,1))]. 3816 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(1007(a,1),3815(a,1,2))]. 3817 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(824(a,1),3816(a,1,2,2))]. 3818 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(431,a,3817,a),flip(a)]. 3821 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(1044(a,1),3818(a,1,2))]. 3825 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(17(a,1),3821(a,1,2,2)),flip(a)]. 3826 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2650(a,1),3825(a,1,1)),flip(a)]. 3827 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(255,a,3786,a(flip),b,3826,a)]. 3828 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(22,a,1448,a(flip),b,3827,a)]. 3829 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(255,a,3744,a,b,3828,a(flip)),flip(a)]. 3830 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(3829(a,1),70(a,1,2)),flip(a)]. 3833 L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). [para(241(a,1),3830(a,2,2,2))]. 3840 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(3833(a,1),112(a,1,2))]. 3842 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [para(18(a,1),3840(a,2,2,2,2,2,2))]. 3843 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(35(a,2),1976(a,2,2,1,1))]. 3844 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1900(a,1),3843(a,1,1))]. 3845 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1643(a,1),3844(a,1,1,1))]. 3846 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(466,a,3845,a),flip(a)]. 3848 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1177(a,1),3846(a,1,2))]. 3852 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(17(a,1),3848(a,1,2,2)),flip(a)]. 3853 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3620(a,1),3852(a,1,1)),flip(a)]. 3854 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3617(a,1),3853(a,2,1))]. 3855 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(255,a,3798,a(flip),b,3854,a)]. 3856 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(22,a,1448,a(flip),b,3855,a)]. 3857 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(255,a,3814,a,b,3856,a(flip)),flip(a)]. 3858 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(3857(a,1),70(a,1,2)),flip(a)]. 3859 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. [para(145(a,1),3857(a,1,1,1)),flip(a)]. 3862 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(3859(a,1),73(a,1,1)),flip(a)]. 3865 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3862(a,2),2239(a,1,1))]. 3870 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(230,a,3865,a),flip(a)]. 3871 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2238(a,1),3870(a,2,1))]. 3872 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(255,a,3633,a(flip),b,3871,a(flip)),flip(a)]. 3877 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3190(a,1),3872(a,2,1))]. 3881 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(143(a,1),2539(a,1,2,2,2,2))]. 3882 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). [hyper(255,a,3842,a(flip),b,3881,a(flip))]. 3884 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). [para(3840(a,1),3882(a,2,2))]. 3885 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). [para(60(a,1),3884(a,2,2,2,2,2,2,2))]. 3887 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). [para(70(a,1),3885(a,2,2,2,2,2))]. 3888 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). [para(1448(a,2),3887(a,2,2,2))]. 3889 (x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z. [para(3888(a,1),24(a,1)),flip(a)]. 3890 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(3255(a,2),3273(a,2,2,2))]. 3891 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(2748(a,1),1217(a,1,1,2))]. 3892 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(21(a,1),3891(a,1,1,2))]. 3894 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1161(a,1),3892(a,1,1)),flip(a)]. 3896 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3894(a,1),3622(a,1,1))]. 3897 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(80,a,3896,a(flip),b,3587,a)]. 3898 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(2771,a,3897,a),flip(a)]. 3900 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3898(a,1),2532(a,1,1))]. 3901 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(3621,a,3900,a)]. 3902 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(255,a,3564,a,b,3901,a(flip)),flip(a)]. 3903 R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(3901(a,1),2671(a,1,1))]. 3904 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(3902(a,1),19(a,1,2))]. 3905 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(255,a,3858,a(flip),b,3904,a)]. 3906 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(22,a,1483,a,b,3905,a),flip(a)]. 3907 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(364,a,3906,a)]. 3910 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3907(a,1),3877(a,1,1))]. 3913 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(3312(a,1),3910(a,1,1))]. 3914 K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). [para(3312(a,1),3903(a,1,1)),flip(a)]. 3915 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(1524(a,1),3913(a,2,1,2))]. 3917 R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). [hyper(255,a,3906,a(flip),b,3914,a(flip))]. 3918 R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). [hyper(255,a,3312,a(flip),b,3917,a)]. 3919 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(3918(a,1),122(a,1,1)),flip(a)]. 3920 L(x,y,K(z,R(z \ 1,y,x))) = x. [hyper(422,a,3919,a)]. 3921 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(23,a,3915,a(flip),b,3919,a)]. 3922 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(23,a,2247,a,b,3921,a)]. 3925 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3922(a,1),3915(a,1,1)),flip(a)]. 3926 L(x,y,K(z,z \ 1)) = x. [para(3922(a,1),3920(a,1,3))]. 3932 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [hyper(255,a,2734,a,b,3926,a(flip)),flip(a)]. 3938 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3926(a,1),483(a,1,2))]. 3940 L(x,y,K(z \ 1,z)) = x. [para(1451(a,1),3926(a,1,3))]. 3941 ((x \ 1) \ 1) / (y \ x) = K(x,x \ 1) * y. [para(3926(a,1),1474(a,1,2))]. 3942 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3926(a,1),1472(a,1,2)),flip(a)]. 3947 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3645,a,3940,a),flip(a)]. 3949 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y). [hyper(255,a,2735,a,b,3940,a(flip)),flip(a)]. 3950 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(255,a,2932,a(flip),b,3940,a(flip))]. 3954 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(255,a,114,a(flip),b,3940,a(flip)),flip(a)]. 3955 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3940(a,1),112(a,1,2))]. 3957 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3940(a,1),483(a,1,2))]. 3958 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3940(a,1),2283(a,1,2))]. 3962 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(255,a,3061,a,b,3947,a(flip)),flip(a)]. 3963 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(70(a,1),3947(a,1,3)),flip(a)]. 3966 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(3632,a,3963,a)]. 3969 K(x,x \ 1) * (x / y) = ((x \ 1) \ 1) / y. [para(73(a,1),3941(a,1,2)),flip(a)]. 3971 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2253,a,3942,a)]. 3975 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(255,a,114,a(flip),b,3966,a(flip))]. 3976 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2253,a,3969,a)]. 3978 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(613(a,1),3971(a,1,1)),flip(a)]. 3984 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(81,a,3925,a(flip),b,122,a)]. 3985 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [para(2911(a,1),3925(a,1,1)),flip(a)]. 3986 K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. [para(3097(a,1),3925(a,1,1)),flip(a)]. 3998 K(x,x \ 1) * ((1 / (1 / x)) / y) = x / y. [para(1504(a,1),3938(a,1,1)),flip(a)]. 4000 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [hyper(2921,a,3998,a)]. 4001 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(199(a,1),4000(a,1,2)),flip(a)]. 4004 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(3097(a,1),3950(a,1,1)),flip(a)]. 4005 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3950(a,1),3210(a,1))]. 4006 (K(x \ 1,x) * y) \ z = y \ (z * K(x,x \ 1)). [para(2913(a,1),3954(a,1,2))]. 4008 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3955(a,1),35(a,2,1,1)),flip(a)]. 4009 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3957(a,1),129(a,1,1))]. 4015 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3958(a,1),3099(a,1,1))]. 4028 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) = T(x,y / (z \ 1)). [para(2827(a,1),3949(a,1,1,2))]. 4029 a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x. [hyper(81,a,2944,a(flip),b,3986,a(flip))]. 4032 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(4004(a,1),3731(a,1,2,1)),flip(a)]. 4033 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(3207(a,1),4009(a,1,1))]. 4044 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(255,a,2318,a(flip),b,3984,a(flip))]. 4045 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1451(a,1),4044(a,1,2)),flip(a)]. 4046 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1451(a,1),4045(a,1,3)),flip(a)]. 4047 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3955(a,1),4008(a,1,1))]. 4048 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(255,a,3957,a(flip),b,4047,a(flip)),flip(a)]. 4049 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(35(a,2),4048(a,1,2)),flip(a)]. 4050 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(255,a,2990,a(flip),b,4049,a)]. 4055 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3330(a,1),4032(a,2,2))]. 4056 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2878(a,1),4050(a,1,1)),flip(a)]. 4057 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(96,a,4056,a)]. 4058 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(19(a,1),4056(a,1,1,2,1)),flip(a)]. 4059 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(21(a,1),4057(a,1,1,1)),flip(a)]. 4060 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(472(a,1),4058(a,2,1,2))]. 4061 R((x \ (1 / y)) * x,y,x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(4058(a,2),1199(a,1,1))]. 4062 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2813(a,1),4058(a,2,1,2))]. 4063 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(4059(a,1),19(a,1,2)),flip(a)]. 4064 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(4063(a,2),3745(a,1,1))]. 4065 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(81,a,4060,a(flip),b,193,a)]. 4066 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(255,a,3558,a(flip),b,4062,a(flip))]. 4068 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(4062(a,1),3768(a,1,1)),flip(a)]. 4069 (x * (y \ T(y,x))) * y = y * x. [para(18(a,1),4066(a,1,1)),flip(a)]. 4070 x * (y \ T(y,x)) = (y * x) / y. [hyper(96,a,4069,a),flip(a)]. 4071 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(81,a,19,a(flip),b,4069,a),flip(a)]. 4072 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(23,a,127,a(flip),b,4069,a)]. 4073 R(x,y \ T(y,x),y) = (y * x) / T(y,x). [hyper(81,a,4069,a(flip),b,3253,a),flip(a)]. 4074 x \ ((y * x) / y) = y \ T(y,x). [hyper(87,a,4070,a)]. 4076 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(80,a,251,a(flip),b,4070,a),flip(a)]. 4077 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(80,a,167,a(flip),b,4070,a)]. 4078 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(22,a,3184,a,b,4070,a),flip(a)]. 4079 ((x * y) / x) / y = x \ T(x,y). [hyper(22,a,3179,a,b,4070,a),flip(a)]. 4080 (x \ T(x,y)) * y = (x * y) / x. [hyper(255,a,3154,a,b,4070,a(flip)),flip(a)]. 4083 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(4070(a,1),2571(a,1,1))]. 4084 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(3240(a,1),4070(a,1,2)),flip(a)]. 4085 ((x * y) / x) \ y = T(x,y) \ x. [para(4070(a,1),3487(a,1,1))]. 4086 (T(x,y) \ x) * ((x * y) / x) = y. [para(4070(a,1),3584(a,1,2))]. 4087 T(x,T(y,x)) \ x = y \ T(y,x). [para(4072(a,1),3487(a,1,1)),flip(a)]. 4088 x * (T(y,T(x,y)) \ y) = T(x,y). [para(4072(a,1),3488(a,1,1))]. 4089 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(4074(a,1),438(a,1,1))]. 4090 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(4074(a,1),1859(a,1,1)),flip(a)]. 4092 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(4077(a,2),3242(a,1,1))]. 4093 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(4079(a,1),452(a,1,1,1))]. 4094 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(4079(a,1),450(a,1,1,1))]. 4095 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((1 / (x * y)) \ T(1 / (x * y),x)) * x. [para(4029(a,2),4080(a,2,1)),flip(a)]. 4096 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(19(a,1),4085(a,1,1,1)),flip(a)]. 4097 (((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(4085(a,1),1145(a,1,1,2,2)),flip(a)]. 4098 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(4085(a,1),1605(a,1,2,2,1))]. 4099 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3648,a,4086,a)]. 4100 K(x \ (x / (y \ 1)),x) = T(x,T(y,x)) \ x. [hyper(255,a,1204,a,b,4087,a),flip(a)]. 4101 T(x,T(y,x)) * (y \ T(y,x)) = x. [para(4087(a,1),19(a,1,2))]. 4102 x * (y \ T(y,z)) != z | T(z,T(y,z)) = x. [para(4087(a,1),94(a,1,2)),flip(b)]. 4103 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(4087(a,1),3134(a,1,1))]. 4104 (x * (T(x,T(y,x)) \ x)) * y = y * x. [para(4087(a,2),4069(a,1,1,2))]. 4105 (x * y) / x = y * (T(y,T(x,y)) \ y). [para(4087(a,2),4070(a,1,2)),flip(a)]. 4107 L(x,y \ T(y,x),y) = x. [hyper(255,a,3577,a(flip),b,4101,a(flip)),flip(a)]. 4110 T(x,y) \ (y * (x \ T(x,y))) = x \ y. [hyper(80,a,4107,a(flip),b,3178,a),flip(a)]. 4111 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(3240(a,1),4103(a,1,1))]. 4112 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(128(a,1),4071(a,1,2,2))]. 4114 T(x * (T(x,T(y,x)) \ x),y) = x. [hyper(172,a,4104,a,b,xx)]. 4116 T(x,y) \ ((x * y) / x) = x \ y. [para(4070(a,1),4110(a,1,2))]. 4117 T(x / y,T(y,x)) = y \ x. [hyper(899,a,4116,a)]. 4118 T(x,y) * (x \ y) = (x * y) / x. [para(4116(a,1),19(a,1,2))]. 4120 T(x / ((x * y) / x),y) = ((x * y) / x) \ x. [para(166(a,1),4117(a,1,2))]. 4121 T(x \ y,T(x,y)) = T(x \ y,x). [para(4117(a,1),185(a,1,1)),flip(a)]. 4122 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(4117(a,1),2008(a,1,1)),flip(a)]. 4123 T(x,x / (x / y)) = T(x,y). [hyper(23,a,1632,a,b,4118,a),flip(a)]. 4125 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(105(a,1),4118(a,1,2))]. 4127 T(x,y) * y = x * ((x * y) / x). [para(4118(a,1),1078(a,1,2)),flip(a)]. 4128 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(4118(a,1),3162(a,1,1,1))]. 4129 T(x,x / (1 / y)) = T(x,x * y). [hyper(255,a,1637,a(flip),b,4123,a(flip)),flip(a)]. 4130 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(255,a,1000,a(flip),b,4123,a(flip)),flip(a)]. 4131 (x / y) \ T(x,y) = (x * y) / x. [hyper(80,a,4123,a(flip),b,998,a)]. 4132 T(x,x / y) = T(x,y \ x). [para(70(a,1),4123(a,1,2,2))]. 4135 T(x,T(y,x)) * (y * x) = x * (x * y). [para(4123(a,1),1359(a,1,1))]. 4136 T(x,(y \ 1) \ x) = T(x,y * x). [hyper(1617,a,4132,a),flip(a)]. 4143 x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). [para(4121(a,2),388(a,1,2,2))]. 4145 T(x,x \ y) * (x \ y) = x * (y / x). [para(19(a,1),4127(a,2,2,1))]. 4147 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(4129(a,1),1621(a,1,1))]. 4148 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(20(a,1),4131(a,1,1)),flip(a)]. 4151 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(87,a,4112,a)]. 4155 T(x,x \ y) * y = x * (x * (y / x)). [para(4145(a,1),1078(a,1,2)),flip(a)]. 4157 R(x,y \ T(y,x),y) = x. [hyper(255,a,144,a(flip),b,4073,a)]. 4159 R(T(x,y),z \ T(z,x),z) = T(x,y). [para(4157(a,1),47(a,2,1))]. 4160 (T(x,y) * (z \ T(z,x))) * z = T(x,y) * T(z,x). [para(4159(a,1),3253(a,1,1)),flip(a)]. 4161 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(167(a,1),4089(a,2,2)),flip(a)]. 4162 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(255,a,3236,a(flip),b,4090,a)]. 4163 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(3498,a,4162,a),flip(a)]. 4165 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(3439(a,1),4162(a,1,2))]. 4166 T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. [para(4162(a,1),3498(a,1))]. 4167 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [hyper(255,a,3557,a(flip),b,4165,a(flip)),flip(a)]. 4168 T(x,x / (x * y)) = T(x,y \ 1). [hyper(255,a,3443,a(flip),b,4165,a(flip)),flip(a)]. 4169 T(x,x / (y * x)) = T(x,y \ 1). [hyper(255,a,3438,a(flip),b,4165,a(flip)),flip(a)]. 4170 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2418,a,4168,a)]. 4174 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(81,a,4168,a(flip),b,2412,a)]. 4175 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(80,a,4168,a(flip),b,1916,a),flip(a)]. 4176 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(4168(a,1),2060(a,1,1,2))]. 4177 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(4168(a,1),2414(a,1,2)),flip(a)]. 4178 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(80,a,4169,a(flip),b,1063,a)]. 4179 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(128(a,2),4163(a,1,2,1))]. 4181 T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). [para(70(a,1),4174(a,2,2,1))]. 4184 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(4175(a,1),3795(a,1,1))]. 4186 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(80,a,4178,a,b,xx)]. 4188 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(350(a,2),4178(a,2,2)),flip(a)]. 4192 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(4079(a,1),4128(a,1,1))]. 4193 K(T(x,y),y) = K(x,(x * y) / x). [hyper(255,a,4089,a(flip),b,4192,a(flip))]. 4194 K(T(x,x \ y),x \ y) = K(x,y / x). [para(19(a,1),4193(a,2,2,1))]. 4195 K(T(x,T(y,x)),T(y,x)) = K(x,y). [para(167(a,1),4193(a,2,2))]. 4197 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(255,a,4130,a(flip),b,4147,a)]. 4198 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(4197(a,1),184(a,1,2))]. 4199 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(4197(a,1),1068(a,1,2)),flip(a)]. 4200 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(129(a,1),4076(a,1,2))]. 4201 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(255,a,4096,a,b,4200,a(flip)),flip(a)]. 4202 x / (x / y) = y * (T(y,y \ x) \ y). [para(4201(a,2),19(a,1,2)),flip(a)]. 4203 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(18(a,1),4202(a,2,2,1,2))]. 4204 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(255,a,1189,a,b,4078,a(flip)),flip(a)]. 4205 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(255,a,3783,a(flip),b,4078,a(flip)),flip(a)]. 4207 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(4078(a,1),2356(a,2,2,1))]. 4208 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(4078(a,1),2417(a,2,2,1))]. 4209 (T(x,T(y,x)) \ x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(4100(a,1),3890(a,1,1))]. 4212 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(4148(a,1),714(a,1,1))]. 4213 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(4212(a,1),106(a,1,1))]. 4214 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(4177(a,1),2873(a,2,1,2))]. 4217 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(23,a,397,a,b,4199,a),flip(a)]. 4218 (x / ((x * y) / x)) * y = x * (T(x,y) \ x). [hyper(255,a,1627,a(flip),b,4203,a(flip)),flip(a)]. 4219 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(255,a,1125,a(flip),b,4203,a(flip)),flip(a)]. 4221 T(x * (T(x,T(y,x)) \ x),T(y,x)) = L(R(x,y,x),y,x). [para(4105(a,1),4217(a,1,1))]. 4222 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(4148(a,1),4217(a,1,1))]. 4223 x \ (y * (T(y,x) \ y)) = T(y / ((y * x) / y),x). [hyper(172,a,4218,a,b,19,a),flip(a)]. 4225 (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). [para(4219(a,1),73(a,1,1))]. 4226 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(4219(a,1),1557(a,2,2,1,2))]. 4227 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(73(a,1),4188(a,2,2,2))]. 4228 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1138(a,1),4084(a,2,2))]. 4229 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(255,a,4143,a(flip),b,4122,a(flip))]. 4230 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(255,a,615,a(flip),b,4229,a(flip))]. 4231 K(x,T(y,y * x)) = K(x,y). [hyper(255,a,615,a(flip),b,4230,a(flip))]. 4233 K(x \ 1,T(y,x \ y)) = K(x \ 1,y). [para(1990(a,1),4231(a,1,2))]. 4234 K((x \ 1) \ 1,T(y,x * y)) = K((x \ 1) \ 1,y). [para(4136(a,1),4233(a,1,2))]. 4235 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(22,a,859,a,b,4167,a),flip(a)]. 4236 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(255,a,4175,a(flip),b,4176,a),flip(a)]. 4237 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(4179(a,2),24(a,1))]. 4239 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [hyper(255,a,4120,a(flip),b,4223,a)]. 4240 K((x \ 1) \ 1,y) = K(x,T(y,x * y)). [hyper(255,a,3312,a(flip),b,4234,a(flip))]. 4241 K(x,T(y,x * y)) = K(x,y). [hyper(255,a,3312,a(flip),b,4240,a(flip))]. 4242 K(x,T(x \ y,y)) = K(x,x \ y). [para(19(a,1),4241(a,1,2,2))]. 4243 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(255,a,3080,a(flip),b,4235,a(flip))]. 4244 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3264(a,1),4236(a,1,2,2,1)),flip(a)]. 4245 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(160(a,2),4243(a,1,2))]. 4246 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(81,a,4245,a(flip),b,774,a),flip(a)]. 4247 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(4092(a,1),840(a,1,1))]. 4248 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(255,a,4175,a(flip),b,4184,a)]. 4250 (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. [para(4125(a,1),25(a,1))]. 4251 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(4078(a,1),4205(a,1,1))]. 4252 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(4175(a,1),4207(a,1,1))]. 4253 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(3470(a,1),4227(a,1,2))]. 4254 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(4253(a,1),3725(a,1,2)),flip(a)]. 4255 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(255,a,3726,a(flip),b,4254,a),flip(a)]. 4256 ((1 / (x * y)) * x) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [hyper(255,a,3215,a,b,4228,a(flip)),flip(a)]. 4257 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(4228(a,2),24(a,1))]. 4258 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(255,a,4083,a(flip),b,4246,a(flip)),flip(a)]. 4259 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(255,a,2047,a(flip),b,4258,a(flip)),flip(a)]. 4260 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(18(a,1),4259(a,1,1,1)),flip(a)]. 4261 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(18(a,1),4260(a,1,1,1)),flip(a)]. 4262 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [para(4029(a,2),4256(a,1,1))]. 4263 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(255,a,3962,a(flip),b,4099,a(flip)),flip(a)]. 4264 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(3065(a,1),4263(a,2,1))]. 4265 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(255,a,4261,a(flip),b,4264,a(flip))]. 4266 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(4265(a,1),2710(a,1,2,1))]. 4267 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(255,a,263,a(flip),b,4055,a),flip(a)]. 4268 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(31(a,2),4247(a,2,1))]. 4269 x * ((y * x) * T((y * x) \ 1,x)) = (((x \ (1 / y)) * x) * y) * x. [hyper(230,a,4061,a),flip(a)]. 4270 x * (y * (x * T(x \ (y \ 1),x))) = (((x \ (1 / y)) * x) * y) * x. [para(832(a,1),4269(a,1,2))]. 4271 (((x \ (1 / y)) * x) * y) * x = x * (y * ((x \ (y \ 1)) * x)). [para(127(a,1),4270(a,1,2,2)),flip(a)]. 4272 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(255,a,4248,a,b,4244,a)]. 4273 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) != x * z | ((x \ (1 / y)) * x) * y = z. [para(4262(a,2),24(a,1))]. 4274 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3371(a,1),4272(a,2,1,2))]. 4275 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(16(a,1),4068(a,2,1,1,2))]. 4276 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(73(a,1),4275(a,2,2))]. 4277 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(255,a,1744,a(flip),b,4226,a(flip))]. 4278 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(127(a,1),4277(a,2,1,2))]. 4279 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(4239(a,1),4278(a,1,2,1))]. 4280 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(4085(a,1),4098(a,2,2))]. 4281 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(4033(a,2),4005(a,1))]. 4282 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2899(a,1),4214(a,1,1,1))]. 4283 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3976(a,1),4282(a,1,1,1))]. 4284 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(129(a,1),4283(a,1,1))]. 4285 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(4186(a,1),4284(a,2,1))]. 4286 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(255,a,21,a(flip),b,4285,a)]. 4287 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(23,a,2926,a(flip),b,4285,a),flip(a)]. 4291 K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. [para(4287(a,1),3925(a,1,1)),flip(a)]. 4292 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(4291(a,1),3088(a,1,2))]. 4293 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(4291(a,1),3204(a,1,1))]. 4295 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(255,a,3957,a(flip),b,4015,a(flip)),flip(a)]. 4296 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((x * y) * T((x * y) \ 1,x)) * x. [para(663(a,1),4095(a,2,1))]. 4297 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = (((x \ (1 / y)) * x) * y) * x. [para(1138(a,1),4296(a,2,1))]. 4298 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (y * ((x \ (y \ 1)) * x)). [hyper(255,a,4271,a(flip),b,4297,a)]. 4299 ((x \ (1 / y)) * x) * y = y * ((x \ (y \ 1)) * x). [hyper(4273,a,4298,a)]. 4300 (x \ 1) * ((y \ ((x \ 1) \ 1)) * y) = ((y \ x) * y) * (x \ 1). [para(70(a,1),4299(a,1,1,1,2)),flip(a)]. 4301 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(255,a,4292,a(flip),b,4300,a(flip))]. 4302 (T(x,T(y,x)) \ x) \ (L(z,y,T(x,T(y,x)) \ x) * T(y,x)) = y * T(z,T(y,x)). [para(4100(a,1),4209(a,1,2,1,3))]. 4308 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1451(a,1),3978(a,2,2))]. 4309 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(70(a,1),4308(a,1,1))]. 4310 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(255,a,4286,a(flip),b,4309,a)]. 4312 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(288(a,1),4310(a,1,2,2,2))]. 4313 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(255,a,4001,a(flip),b,4312,a(flip)),flip(a)]. 4316 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(4313(a,1),3985(a,1,2,1))]. 4317 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(255,a,3108,a(flip),b,4316,a(flip)),flip(a)]. 4318 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(4317(a,1),4276(a,1,1))]. 4319 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(255,a,4301,a(flip),b,4318,a(flip)),flip(a)]. 4327 ((x * (y * T(y \ T(z,x),y))) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(2471(a,1),4097(a,1,1))]. 4328 ((x * ((y \ T(z,x)) * y)) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(127(a,1),4327(a,1,1,1,2))]. 4329 ((x * ((y \ T(z,x)) * y)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(4085(a,1),4328(a,1,2))]. 4330 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(230,a,4064,a),flip(a)]. 4332 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(255,a,4208,a(flip),b,4330,a(flip))]. 4333 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(4170(a,1),4332(a,1,1)),flip(a)]. 4334 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3371(a,1),4333(a,1,2,1,2)),flip(a)]. 4335 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3371(a,1),4334(a,1,1)),flip(a)]. 4336 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(18(a,1),4335(a,1,2,2)),flip(a)]. 4337 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(18(a,1),4336(a,1,2)),flip(a)]. 4338 L(x,y \ T(y,z),y) = x. [hyper(672,a,4337,a)]. 4341 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(22,a,1078,a,b,4337,a)]. 4342 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(22,a,4155,a(flip),b,4337,a)]. 4343 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(22,a,1074,a(flip),b,4337,a)]. 4345 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(4077(a,2),4337(a,1,2,1))]. 4347 L(x,y,y \ T(y,z)) = x. [hyper(3466,a,4338,a)]. 4351 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(80,a,4338,a(flip),b,3571,a)]. 4353 L(x,T(y,T(z,y)) \ y,z) = x. [para(4087(a,2),4338(a,1,2))]. 4356 L(x,y,T(z,T(y,z)) \ z) = x. [para(4087(a,2),4347(a,1,3))]. 4357 L(x,T(y,z) \ y,(y * z) / y) = x. [para(166(a,1),4353(a,1,2,1,2))]. 4358 (T(x,T(y,x)) \ x) \ (z * T(y,x)) = y * T(z,T(y,x)). [para(4356(a,1),4302(a,1,2,1))]. 4359 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(80,a,4357,a(flip),b,4280,a),flip(a)]. 4363 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(255,a,4252,a(flip),b,4341,a(flip))]. 4364 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(255,a,3643,a(flip),b,4341,a(flip))]. 4366 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(96,a,4343,a)]. 4368 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(4343(a,1),222(a,1,2)),flip(b)]. 4372 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(3254,a,4366,a)]. 4373 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(4366(a,1),4268(a,1,1)),flip(a)]. 4375 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(255,a,3490,a(flip),b,4372,a(flip)),flip(a)]. 4377 (T(x,y) \ x) * (x * y) = y * x. [hyper(22,a,4135,a(flip),b,4345,a)]. 4378 K(x,y) = T(T(y,x) \ y,y * x). [hyper(172,a,4377,a,b,104,a),flip(a)]. 4379 (x * y) / (y * x) = T(y,x) \ y. [hyper(96,a,4377,a)]. 4380 T(x,y / x) \ x = y / (x * (y / x)). [hyper(81,a,21,a(flip),b,4377,a),flip(a)]. 4383 T(T(x,x \ y) \ x,y) = K(x \ y,x). [para(19(a,1),4378(a,2,2)),flip(a)]. 4384 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(21(a,1),4379(a,1,2)),flip(a)]. 4385 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(4379(a,2),2710(a,1,2,1)),flip(a)]. 4386 T(x \ (y / (y / x)),y) = K(x \ y,x). [para(4201(a,1),4383(a,1,1))]. 4387 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(255,a,4266,a(flip),b,4385,a),flip(a)]. 4388 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(2044(a,1),4387(a,1,2))]. 4389 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(4359(a,1),19(a,1,2))]. 4390 (x * (y / x)) / y = (x \ y) \ (y / x). [para(129(a,1),4384(a,1,1)),flip(a)]. 4391 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(255,a,4151,a(flip),b,4390,a)]. 4392 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(255,a,4204,a(flip),b,4391,a(flip))]. 4393 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(255,a,4094,a,b,4389,a(flip)),flip(a)]. 4394 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(19(a,1),4368(a,1,2))]. 4395 R(K(x,y),x,z) = K(x,y). [hyper(255,a,4161,a,b,4373,a)]. 4406 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1291,a,4375,a),flip(a)]. 4408 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(4392(a,1),3251(a,1,1))]. 4409 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(3241,a,4408,a),flip(a)]. 4415 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4409(a,1),4201(a,1,1)),flip(a)]. 4428 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(255,a,4076,a(flip),b,4406,a(flip)),flip(a)]. 4429 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(4406(a,1),4103(a,1,1)),flip(a)]. 4430 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(255,a,4415,a(flip),b,4428,a(flip)),flip(a)]. 4431 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(255,a,1200,a,b,4430,a),flip(a)]. 4432 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(255,a,924,a(flip),b,4430,a)]. 4434 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(4430(a,2),33(a,2,1)),flip(a)]. 4436 T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). [para(4430(a,2),1646(a,1,1))]. 4437 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(4430(a,2),3227(a,2,2)),flip(a)]. 4438 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4431(a,2),3134(a,1,1))]. 4439 T(x,y) \ x = y \ T(y,x). [para(3371(a,1),4432(a,1,1))]. 4440 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(255,a,4076,a(flip),b,4439,a)]. 4441 T(x,y) * (y \ T(y,x)) = x. [para(4439(a,1),19(a,1,2))]. 4442 (x * y) / x = y * (T(y,x) \ y). [para(4439(a,2),4070(a,1,2)),flip(a)]. 4443 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4439(a,2),4337(a,1,2,1))]. 4444 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4439(a,2),4341(a,1,1)),flip(a)]. 4445 K(x,y) = T(x \ T(x,y),y * x). [para(4439(a,1),4378(a,2,1))]. 4446 T(x,T(y,x)) = T(x,y). [hyper(4102,a,4441,a)]. 4448 T(x,y) * T(y,x) = x * y. [para(4441(a,1),4160(a,1,1)),flip(a)]. 4450 T(x,x \ y) \ y = T(x \ y,x). [hyper(1128,a,4446,a)]. 4451 R(T(x,x * y),y,x) = T(x,y). [hyper(255,a,4197,a,b,4446,a(flip)),flip(a)]. 4452 (x / T(y,x)) * y = T(x,y). [hyper(255,a,4130,a,b,4446,a(flip)),flip(a)]. 4454 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(255,a,4388,a(flip),b,4446,a(flip))]. 4459 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(4446(a,1),43(a,1,1)),flip(a)]. 4462 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(45(a,2),4446(a,1,2))]. 4463 T(x,y / x) = T(x,x \ y). [para(129(a,1),4446(a,1,2)),flip(a)]. 4469 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4446(a,1),184(a,1,2,1))]. 4473 T(x * (T(x,y) \ x),y) = x. [para(4446(a,1),4114(a,1,1,2,1))]. 4475 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(4446(a,1),4198(a,1,2)),flip(a)]. 4478 T(x,y) \ (y * x) = T(T(y,x),T(x,y)). [hyper(172,a,4448,a,b,19,a),flip(a)]. 4486 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(4448(a,1),122(a,1,2))]. 4496 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(255,a,721,a,b,4463,a(flip)),flip(a)]. 4505 L(R(x,y,x),y,x) = x. [hyper(255,a,4221,a(flip),b,4473,a(flip)),flip(a)]. 4508 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(255,a,4222,a,b,4505,a(flip)),flip(a)]. 4510 (L(x,y,x) * y) * x = x * (y * x). [para(4505(a,1),460(a,1,1)),flip(a)]. 4525 R(T(x,y),x \ y,x) = T(x,x \ y). [para(19(a,1),4451(a,1,1,2))]. 4526 ((x * y) / x) \ x = y \ ((y * x) / y). [para(4442(a,2),4225(a,1,1))]. 4527 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(255,a,4236,a,b,4445,a),flip(a)]. 4530 (x \ T(x,x \ y)) \ y = x * T(x \ y,x). [para(4450(a,1),4351(a,2,2))]. 4533 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(4454(a,1),4267(a,2,1,2))]. 4546 T(L(x,y,x) * y,x) = y * x. [hyper(172,a,4510,a,b,xx)]. 4547 x * T(y,x * y) = L(y,x,y) * x. [hyper(23,a,885,a,b,4510,a),flip(a)]. 4548 T(x,L(x,y,x) * y) = T(x,y * x). [para(4546(a,1),4446(a,1,2)),flip(a)]. 4563 T(x,y * x) = T(x,x * y). [hyper(22,a,547,a,b,4547,a)]. 4564 T(x,(x \ y) * x) = T(x,y). [hyper(22,a,559,a(flip),b,4547,a)]. 4572 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(4564(a,1),4452(a,1,1,2))]. 4575 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(559(a,1),4548(a,1,2))]. 4579 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(70(a,1),4438(a,1,1,1,2)),flip(a)]. 4580 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(255,a,4380,a(flip),b,4440,a(flip)),flip(a)]. 4581 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(22,a,1130,a,b,4443,a)]. 4583 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(255,a,4459,a(flip),b,4478,a)]. 4584 T(x,y) * T(T(y,x),x) = y * x. [para(4583(a,1),19(a,1,2))]. 4590 K(x,x \ T(x * y,y)) = K(x,y). [para(4508(a,1),4242(a,1,2)),flip(a)]. 4591 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(255,a,4213,a,b,4590,a(flip))]. 4603 K(x \ y,x) \ x = x * K(x,y / x). [hyper(4166,a,4579,a),flip(a)]. 4605 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3685,a,4603,a)]. 4606 K(x,(x * y) / x) = K(y,x) \ 1. [para(18(a,1),4605(a,1,1,1)),flip(a)]. 4607 K(T(x,y),y) \ 1 = K(y,x). [para(167(a,1),4606(a,1,2)),flip(a)]. 4609 K(T(x,y),y) * K(y,x) = 1. [para(4607(a,1),19(a,1,2))]. 4615 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4609(a,1),222(a,1,2)),flip(b)]. 4618 R(x,y,T(x,y)) = R(x,y,x). [hyper(23,a,462,a,b,4475,a),flip(a)]. 4620 x \ T(y * x,y) = R(y,x,y). [hyper(255,a,986,a,b,4618,a(flip)),flip(a)]. 4621 x * R(y,x,y) = T(y * x,y). [para(4618(a,1),987(a,1,2))]. 4622 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4618(a,1),1961(a,1,2)),flip(a)]. 4623 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(4446(a,1),4618(a,1,3))]. 4625 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4620(a,1),114(a,1,1)),flip(a)]. 4626 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4621(a,1),222(a,1,2)),flip(b)]. 4628 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4621(a,1),4591(a,2,1))]. 4629 K(x \ T(x * y,x),x) = K(y,x). [hyper(255,a,1695,a(flip),b,4628,a),flip(a)]. 4630 K(x \ T(y,x),x) = K(x \ y,x). [para(19(a,1),4629(a,1,1,2,1))]. 4631 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(166(a,1),4630(a,1,1,2)),flip(a)]. 4632 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(4526(a,2),4631(a,1,1))]. 4633 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4632(a,1),4279(a,1,2)),flip(a)]. 4636 (x \ T(x,x \ y)) \ y = (x \ y) * x. [hyper(255,a,127,a(flip),b,4530,a)]. 4637 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(128(a,1),4636(a,1,1,2))]. 4638 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(4637(a,1),70(a,1,2))]. 4639 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(255,a,4391,a,b,4638,a),flip(a)]. 4641 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(255,a,4564,a(flip),b,4575,a)]. 4642 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4641(a,1),1355(a,1,1))]. 4643 x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. [hyper(255,a,1557,a(flip),b,4581,a),flip(a)]. 4648 T(x,(y \ x) * y) = x. [hyper(4250,a,4633,a)]. 4649 T((x \ y) * x,y) = (x \ y) * x. [hyper(40,a,4648,a)]. 4650 T(x * (y / x),y) = x * (y / x). [para(75(a,1),4648(a,1,2))]. 4651 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4650(a,2),4639(a,1,1))]. 4653 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(4243(a,1),4651(a,1,1,1)),flip(a)]. 4657 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(255,a,4111,a(flip),b,4429,a)]. 4658 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(255,a,4446,a(flip),b,4657,a(flip))]. 4659 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(255,a,4446,a(flip),b,4658,a(flip))]. 4660 T(x,y / (z * y)) = T(x,z \ 1). [para(18(a,1),4659(a,1,2,1))]. 4661 T(x,(y / z) \ 1) = T(x,z / y). [para(73(a,1),4659(a,1,2,1)),flip(a)]. 4665 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4661(a,1),4274(a,1,1,2))]. 4674 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4451(a,1),4469(a,1,2)),flip(a)]. 4675 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4496(a,1),4469(a,1,2)),flip(a)]. 4676 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4525(a,1),4469(a,1,2)),flip(a)]. 4678 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4454(a,1),4527(a,1,2,2,1))]. 4679 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4678(a,1),19(a,1,2)),flip(a)]. 4680 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(4237,a,4679,a)]. 4681 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(255,a,4255,a,b,4680,a(flip)),flip(a)]. 4682 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(255,a,3702,a(flip),b,4681,a)]. 4683 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(255,a,3723,a,b,4682,a(flip)),flip(a)]. 4684 K((1 / x) * y,x) = K(x \ y,x). [para(18(a,1),4683(a,1,1,2)),flip(a)]. 4686 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(70(a,1),4684(a,1,1,1)),flip(a)]. 4694 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(23,a,1676,a(flip),b,4572,a)]. 4695 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [para(4694(a,1),21(a,1,1))]. 4711 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(255,a,4622,a(flip),b,4674,a)]. 4712 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4711(a,1),4625(a,1,2))]. 4714 R(x,y / x,x) = R(x,x \ y,x). [hyper(23,a,4675,a,b,4676,a),flip(a)]. 4716 R(x,(x * y) / x,x) = R(x,y,x). [para(18(a,1),4714(a,2,2))]. 4717 R(x,T(y,x),x) = R(x,y,x). [para(167(a,1),4716(a,1,2)),flip(a)]. 4718 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(255,a,4623,a,b,4717,a(flip)),flip(a)]. 4719 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4718(a,1),51(a,1,1)),flip(a)]. 4729 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(255,a,1574,a(flip),b,4643,a(flip))]. 4730 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4719(a,1),4486(a,1,1)),flip(a)]. 4734 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(20(a,1),4665(a,1,1,2,2))]. 4735 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(255,a,3170,a(flip),b,4734,a(flip))]. 4736 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4735(a,1),4093(a,1,1))]. 4743 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(4341(a,1),4363(a,2,2))]. 4744 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(3072(a,1),4364(a,1,2))]. 4745 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(255,a,3552,a(flip),b,4744,a(flip))]. 4747 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(255,a,4342,a(flip),b,4533,a)]. 4755 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4735(a,1),4393(a,1,1))]. 4756 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(4394,a,4755,a),flip(a)]. 4758 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(4368,a,4755,a),flip(a)]. 4759 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [hyper(255,a,4444,a,b,4755,a)]. 4761 x \ (y * (T(y,z) \ x)) = T(T(y,z) \ y,x). [hyper(172,a,4756,a,b,19,a),flip(a)]. 4762 T(x,y) * (x \ z) = y * (T(y,x) \ z). [hyper(255,a,4444,a,b,4756,a(flip)),flip(a)]. 4763 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(255,a,4729,a(flip),b,4756,a(flip))]. 4764 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(255,a,4581,a(flip),b,4756,a(flip)),flip(a)]. 4768 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(80,a,19,a(flip),b,4758,a)]. 4769 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(255,a,4444,a,b,4758,a(flip)),flip(a)]. 4771 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4758(a,1),4443(a,1,2)),flip(a)]. 4772 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(80,a,4736,a(flip),b,4759,a(flip)),flip(a)]. 4773 K(x \ (x / (y \ (z \ y))),x) = y \ (x * (T(x,z) \ y)). [para(4762(a,1),1561(a,2,2))]. 4774 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(255,a,112,a,b,4771,a)]. 4775 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(4764(a,1),958(a,1))]. 4777 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(255,a,1081,a(flip),b,4772,a)]. 4778 ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). [hyper(255,a,1603,a(flip),b,4777,a(flip)),flip(a)]. 4779 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(367,a,4774,a),flip(a)]. 4784 K(x \ (x / (y \ (z \ y))),x) = T(T(x,z) \ x,y). [hyper(255,a,4761,a(flip),b,4773,a)]. 4785 T(x,(y \ (z \ y)) \ 1) \ x = T(T(x,z) \ x,y). [hyper(255,a,4431,a(flip),b,4784,a(flip)),flip(a)]. 4789 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(255,a,461,a(flip),b,4730,a)]. 4790 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1318(a,1),4789(a,1,1))]. 4791 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(255,a,4622,a(flip),b,4790,a(flip))]. 4792 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(4791(a,1),222(a,1,2))]. 4801 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4747(a,1),4653(a,1,2)),flip(a)]. 4802 ((x \ y) * x) / y = y / (x * (y / x)). [para(4649(a,1),4801(a,1,1))]. 4803 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(255,a,4580,a(flip),b,4802,a)]. 4804 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(255,a,4319,a,b,4803,a(flip)),flip(a)]. 4805 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4804(a,1),4293(a,2,2))]. 4807 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3359(a,1),4745(a,1,1)),flip(a)]. 4808 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4807(a,1),3537(a,1,2))]. 4809 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4808(a,1),260(a,1,1)),flip(a)]. 4815 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(255,a,4768,a(flip),b,4434,a(flip)),flip(a)]. 4816 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(4792,a,4712,a)]. 4817 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(255,a,4743,a(flip),b,4815,a(flip)),flip(a)]. 4818 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4769(a,1),4817(a,1,2)),flip(a)]. 4819 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(255,a,190,a(flip),b,4818,a)]. 4821 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(255,a,3975,a(flip),b,4819,a(flip))]. 4823 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4821(a,1),3730(a,2,2))]. 4832 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(255,a,4809,a(flip),b,4823,a)]. 4833 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(4281,a,4832,a)]. 4835 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(255,a,97,a(flip),b,4833,a)]. 4837 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4835(a,1),3209(a,1,2))]. 4838 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4837(a,1),4295(a,1,2)),flip(a)]. 4840 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(255,a,2913,a(flip),b,4838,a)]. 4844 R(x,K(y \ 1,y),z) = x. [para(19(a,1),4840(a,1,3))]. 4847 R(x,y,K(z \ 1,z)) = x. [hyper(255,a,4046,a(flip),b,4844,a(flip)),flip(a)]. 4848 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4844(a,1),122(a,1,1)),flip(a)]. 4854 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [hyper(255,a,4028,a(flip),b,4847,a(flip))]. 4857 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(255,a,3013,a(flip),b,4847,a(flip))]. 4861 (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). [para(4847(a,1),379(a,1,1)),flip(a)]. 4864 R(x,y,K(z,z \ 1)) = x. [para(1449(a,1),4847(a,1,3))]. 4866 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4847(a,1),2284(a,1,1))]. 4874 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(255,a,3932,a(flip),b,4864,a(flip))]. 4876 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4864(a,1),122(a,1,1)),flip(a)]. 4878 x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1). [para(4864(a,1),451(a,1,1))]. 4891 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4857(a,1),122(a,1,1))]. 4901 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4854(a,1),4763(a,1,2,1))]. 4915 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(255,a,3958,a(flip),b,4848,a(flip)),flip(a)]. 4958 K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). [hyper(3889,a,4876,a)]. 4960 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(422,a,4876,a)]. 4964 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(80,a,4958,a(flip),b,1448,a(flip))]. 4966 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(80,a,4964,a(flip),b,1463,a(flip)),flip(a)]. 4967 (K(x \ 1,x) * y) \ z = (y \ z) * K(x,x \ 1). [hyper(255,a,4006,a,b,4878,a(flip)),flip(a)]. 4973 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(K(z \ 1,z) * u,y,x). [para(4915(a,2),33(a,2,2,2)),flip(a)]. 4978 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4915(a,1),4866(a,1,2))]. 5005 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(4775,a,4901,a)]. 5007 T(x * y,z) / y = y \ T(y * x,z). [para(20(a,1),5005(a,1,2,1,2)),flip(a)]. 5008 (x \ T(x * (y / x),z)) * x = T(y,z). [para(5005(a,2),21(a,1,1))]. 5012 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [para(5005(a,1),170(a,1,2,2))]. 5025 (x \ T(x * y,z)) * x = T(y * x,z). [para(5007(a,1),21(a,1,1))]. 5026 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(5007(a,1),129(a,1,1))]. 5030 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(69(a,1),5008(a,1,1,2,1)),flip(a)]. 5048 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(5030(a,1),127(a,1,2))]. 5050 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(129(a,1),5030(a,2,1,2))]. 5052 ((x * T((y \ z) * y,x)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(5030(a,2),4329(a,1,1,1,2))]. 5055 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(129(a,1),5012(a,1,2,2,1)),flip(a)]. 5057 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(129(a,1),5048(a,1,2,1,2)),flip(a)]. 5059 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(5050(a,1),167(a,1,1,2))]. 5068 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(162(a,2),5055(a,2,2,2,1))]. 5069 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(255,a,4065,a,b,5057,a(flip)),flip(a)]. 5070 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(163(a,2),5057(a,1,1,1,2))]. 5072 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(5059(a,1),226(a,1,1)),flip(b)]. 5091 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4891(a,1),25(a,1))]. 5099 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(33(a,2),4978(a,2,1))]. 5105 L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). [hyper(255,a,4973,a(flip),b,5099,a(flip)),flip(a)]. 5108 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [hyper(255,a,2263,a,b,5105,a)]. 5110 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(2913(a,1),5108(a,1,1)),flip(a)]. 5113 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(255,a,2992,a(flip),b,5110,a(flip)),flip(a)]. 5116 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(5113(a,1),69(a,1,2,1)),flip(a)]. 5117 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(69(a,1),5113(a,1,1,2,1)),flip(a)]. 5118 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(5117(a,1),112(a,1,2))]. 5120 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(439(a,1),5117(a,2,1,2))]. 5145 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(241(a,1),5118(a,1,2,1,2))]. 5151 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(255,a,4805,a(flip),b,5120,a(flip))]. 5152 x * (y \ (x / (x / y))) = (y \ (1 \ x)) * y. [para(17(a,1),5151(a,1,1,2,2)),flip(a)]. 5153 x * (y \ (x / (x / y))) = (y \ x) * y. [para(59(a,1),5152(a,2,1,2))]. 5154 x \ (y / (y / x)) = K(x \ y,x). [hyper(22,a,263,a,b,5153,a)]. 5161 T(K(x \ y,x),y) = K(x \ y,x). [para(5154(a,1),4386(a,1,1))]. 5171 T(x,K(y \ x,y)) = x. [hyper(40,a,5161,a)]. 5172 T(x * y,K(y,x)) = x * y. [para(18(a,1),5171(a,1,2,1))]. 5174 K(x,y) = (x * y) / (y * x). [para(5172(a,1),271(a,1,2)),flip(a)]. 5177 K(x,y) = T(y,x) \ y. [hyper(255,a,4379,a(flip),b,5174,a)]. 5179 K(x \ (x / y),x) = K(y \ 1,x). [hyper(255,a,4431,a,b,5177,a),flip(a)]. 5180 K(x,y) = ((y * x) / y) \ x. [hyper(255,a,4085,a,b,5177,a)]. 5182 K(x,y) = y / T(y,x). [hyper(255,a,3128,a,b,5177,a)]. 5183 K(x,y) = (1 / T(y,x)) * y. [hyper(255,a,3127,a,b,5177,a)]. 5184 K(x,y) = y * (T(y,x) \ 1). [hyper(255,a,1083,a,b,5177,a)]. 5185 T(T(x,y) \ x,z) = K((z \ (y \ z)) \ 1,x). [hyper(255,a,4785,a(flip),b,5177,a),flip(a)]. 5186 K(x,y) = x \ T(x,y). [hyper(255,a,4439,a(flip),b,5177,a)]. 5187 x * T(x \ 1,y) = K(x \ 1,y). [hyper(255,a,4430,a(flip),b,5177,a),flip(a)]. 5188 K(T(x,y),y) = x \ T(x,y). [hyper(255,a,4087,a(flip),b,5177,a)]. 5189 x \ (T(1 / x,y) \ 1) = K(y,x \ 1). [hyper(255,a,3390,a(flip),b,5177,a),flip(a)]. 5192 T(x,y) \ 1 = x \ K(y,x). [hyper(80,a,5177,a,b,1083,a),flip(a)]. 5194 T(x,y) * K(y,x) = x. [para(5177(a,2),19(a,1,2))]. 5197 T(x,y) = x / K(y,x). [para(5177(a,2),70(a,1,2)),flip(a)]. 5202 L(K(x,y),T(y,x),z) = (z * T(y,x)) \ (z * y). [para(5177(a,2),114(a,1,1))]. 5205 K((1 / x) \ y,y) = T(y,y * x) \ y. [para(1991(a,1),5177(a,2,1))]. 5206 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(5177(a,2),2704(a,1,2))]. 5207 K(x,y) * T(y,x) = y. [para(5177(a,2),3133(a,1,1))]. 5208 T(x,y) = K(y,x) \ x. [para(5177(a,2),3134(a,1,1)),flip(a)]. 5209 K(x,y) * (y \ 1) = T(y,x) \ 1. [para(5177(a,2),3394(a,1,1))]. 5212 x * K(T(x,y),y) = T(x,y). [para(5177(a,2),4088(a,1,2))]. 5215 K(x,y) = T(y,T(x,y)) \ y. [para(4446(a,2),5177(a,2,1))]. 5216 T(x * K(y,x),y) = x. [para(5177(a,2),4473(a,1,1,2))]. 5217 (x * y) / x = y * K(x,y). [para(5177(a,2),4442(a,2,2))]. 5220 x * (K(x,y) * z) = T(x,y) * z. [para(5177(a,2),4443(a,1,2,1))]. 5221 T(x,y) * (x \ z) = K(x,y) * z. [para(5177(a,2),4444(a,2,1))]. 5222 K(x / y,z) * x = y * T(y \ x,z). [para(5177(a,2),4581(a,1,1))]. 5223 K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z). [para(5177(a,2),4436(a,1,1)),flip(a)]. 5224 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(5177(a,2),4437(a,1,2)),flip(a)]. 5225 x * (T(x,y) \ z) = K(y,x) * z. [para(5177(a,2),4756(a,1,1)),flip(a)]. 5232 K(x * K(y,y \ 1),z) = z / T(z,x). [para(4874(a,1),5182(a,2,2))]. 5234 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(255,a,4251,a,b,5186,a),flip(a)]. 5238 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(255,a,4078,a,b,5186,a),flip(a)]. 5240 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(255,a,3239,a,b,5186,a)]. 5243 K(x,y) = T(x,y) * (x \ 1). [hyper(255,a,927,a,b,5186,a)]. 5244 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [hyper(255,a,4236,a(flip),b,5186,a),flip(a)]. 5249 T(x,y) \ K(x,y) = x \ 1. [hyper(80,a,5186,a,b,927,a)]. 5252 T(x,y) = x * K(x,y). [para(5186(a,2),19(a,1,2)),flip(a)]. 5253 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(45(a,2),5186(a,2,2)),flip(a)]. 5256 (x * y) \ (x * T(y,z)) = L(K(y,z),y,x). [para(5186(a,2),114(a,1,1)),flip(a)]. 5260 L(K(x,y),x,z / x) = z \ ((z / x) * T(x,y)). [para(5186(a,2),440(a,1,1))]. 5261 (x * y) * T(K(y,x),z) = x * (y * T(K(y,x),z)). [para(5186(a,2),833(a,1,2,2,1)),flip(a)]. 5263 T(x,y) = K(x,y) * x. [para(5186(a,2),3236(a,1,1)),flip(a)]. 5264 K(x,y) * x != z | T(x,y) = z. [para(5186(a,2),3241(a,1,1))]. 5265 (x * K(y,x)) * y = y * x. [para(5186(a,2),4069(a,1,1,2))]. 5267 (x * y) / x = K(x,y) * y. [para(5186(a,2),4080(a,1,1)),flip(a)]. 5268 (x \ y) * K(x,x \ y) = y / x. [para(5186(a,2),4071(a,1,2))]. 5269 x \ T(x,y \ x) = K(x,x / y). [para(4132(a,1),5186(a,2,2)),flip(a)]. 5273 x * (T(x,y) \ z) = K(x,y) \ z. [para(5186(a,2),4351(a,1,1)),flip(a)]. 5278 x \ T(x,y / (z * y)) = K(x,z \ 1). [para(4660(a,2),5186(a,2,2)),flip(a)]. 5279 K(x,y * K(z,z \ 1)) = x \ T(x,y). [para(4874(a,1),5186(a,2,2))]. 5281 T(x,y) \ x != z | K(y,x) = z. [para(5194(a,1),222(a,1,2)),flip(b)]. 5284 x * (y * K(x,y)) = T(x,y) * y. [para(5194(a,1),4771(a,1,2)),flip(a)]. 5290 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(255,a,4579,a,b,5208,a),flip(a)]. 5291 T(x,y) = 1 / (x \ K(y,x)). [hyper(255,a,3729,a,b,5208,a)]. 5295 T(T(x * K(y,x),z),y) = T(x,z). [para(5216(a,1),43(a,1,1)),flip(a)]. 5298 T(x * K(y,x),z) * y = y * T(x,z). [para(5216(a,1),182(a,1,2,1)),flip(a)]. 5299 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(5216(a,1),205(a,1,1,2,1)),flip(a)]. 5300 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(5216(a,1),183(a,1,2,1)),flip(a)]. 5311 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(5216(a,1),4462(a,1,2,1)),flip(a)]. 5323 T(x,y) != x * z | K(x,y) = z. [para(5252(a,2),24(a,1))]. 5325 x \ T(x,y) != z | K(x,y) = z. [para(5252(a,2),222(a,1,2)),flip(b)]. 5337 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(255,a,43,a,b,5263,a(flip))]. 5349 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(5263(a,2),431(a,1,2,2))]. 5368 K(T(x,y),y) = K(x,y). [hyper(255,a,5186,a,b,5188,a)]. 5373 K(x,T(y,x)) = K(x,y). [hyper(255,a,4195,a(flip),b,5368,a(flip))]. 5374 K(x,y / x) = K(x,x \ y). [hyper(255,a,4194,a(flip),b,5368,a(flip)),flip(a)]. 5376 K(x / y,y) = K(y \ x,y). [para(129(a,1),5368(a,1,1)),flip(a)]. 5381 K(x,y) \ 1 = K(y,x). [para(5368(a,1),4607(a,1,1))]. 5384 K(x,y) \ 1 != z | K(y,x) = z. [para(5368(a,1),4615(a,1,1))]. 5389 K(x \ y,(x \ y) \ y) = K(x \ y,x). [para(128(a,1),5373(a,1,2))]. 5392 K(x,y * K(x,y)) = K(x,y). [para(5216(a,1),5373(a,1,2)),flip(a)]. 5394 1 / K(x,y) = K(y,x). [para(5381(a,1),70(a,1,2))]. 5395 1 / K(x,y) != z | K(y,x) = z. [para(5381(a,1),303(a,1,2)),flip(b)]. 5397 T((x * K(y,z)) \ x,u) = L(T(K(z,y),u),K(y,z),x). [para(5381(a,1),344(a,2,1,1))]. 5399 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(5381(a,1),2018(a,2,2,1))]. 5403 K(x,T(y,x)) != z | K(x,y) = z. [para(5381(a,1),4615(a,1))]. 5406 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(5192(a,1),303(a,1,2)),flip(b)]. 5413 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [para(5215(a,2),4358(a,1,1))]. 5416 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(4257,a,5217,a)]. 5431 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(5217(a,1),767(a,1,1))]. 5438 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(5217(a,1),1627(a,2,1,2))]. 5439 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1835(a,1),5217(a,1,1))]. 5454 T(x,y * x) * (x \ 1) = K(x,x * y). [para(4563(a,2),5243(a,2,1)),flip(a)]. 5455 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5381(a,1),5243(a,2,2)),flip(a)]. 5456 T(x,y) * (x \ 1) != z | K(x,y) = z. [para(5249(a,1),220(a,1,2)),flip(b)]. 5458 (x * y) / x != z | y * K(x,y) = z. [para(5265(a,1),304(a,1,1)),flip(b)]. 5472 x * K(y,y \ x) = y * (x / y). [para(5374(a,1),264(a,1,2))]. 5475 (x * (y / x)) \ y = K(x \ y,x). [hyper(255,a,108,a,b,5376,a(flip)),flip(a)]. 5488 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(4430(a,1),5281(a,1))]. 5489 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(4431(a,2),5281(a,1))]. 5490 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(45(a,2),5325(a,1,2))]. 5493 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(4375(a,2),5325(a,1))]. 5504 K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w. [para(47(a,2),5403(a,1,2))]. 5507 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(5368(a,2),5403(a,1))]. 5510 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2669,a,5179,a)]. 5512 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(255,a,1582,a(flip),b,5179,a(flip)),flip(a)]. 5515 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(5179(a,1),1557(a,2,2))]. 5516 (x * y) * K(((x * y) \ x) \ 1,z) = x * T(y,z). [para(5179(a,1),1562(a,1,2))]. 5517 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(5179(a,1),1581(a,1,1))]. 5525 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(5187(a,1),1218(a,1,1))]. 5526 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(5187(a,1),1411(a,2,1))]. 5528 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(5187(a,1),1895(a,2,2))]. 5529 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(5187(a,1),2453(a,2,1,2))]. 5530 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * K(y \ 1,z)) * z. [para(5187(a,1),2454(a,2,1,2))]. 5532 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u. [para(5206(a,1),431(a,1,2,2))]. 5534 x \ (T(x,y) * z) = K(x,y) * z. [hyper(87,a,5220,a)]. 5535 K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)). [hyper(80,a,127,a(flip),b,5220,a),flip(a)]. 5536 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(80,a,19,a(flip),b,5220,a),flip(a)]. 5538 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(22,a,1086,a,b,5220,a)]. 5541 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(22,a,4622,a(flip),b,5220,a)]. 5546 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(1107,a,5221,a)]. 5558 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(5186(a,2),5221(a,1,2)),flip(a)]. 5560 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(1106,a,5225,a),flip(a)]. 5561 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(255,a,4778,a,b,5225,a(flip)),flip(a)]. 5583 K(x,x / y) = K(x,y \ x). [hyper(5325,a,5269,a),flip(a)]. 5585 K(x,x / (x / y)) = K(x,y). [para(73(a,1),5583(a,2,2))]. 5600 K(x,y) \ z = K(y,x) * z. [hyper(255,a,5225,a(flip),b,5273,a(flip))]. 5602 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(3609,a,5600,a)]. 5603 K(x,y) * (y \ K(y,x)) = y \ 1. [hyper(3608,a,5600,a),flip(a)]. 5605 x / (K(y,z) * x) = K(z,y). [hyper(416,a,5600,a)]. 5607 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(223,a,5600,a),flip(a)]. 5608 K(x,y) * (K(y,x) * z) = z. [hyper(222,a,5600,a)]. 5612 K(x,y) * (K(y,x) * z) != u | u = z. [para(5600(a,1),220(a,1,2))]. 5622 K(x,y) * z != u | K(y,x) * u = z. [para(5605(a,1),89(a,1,1)),flip(b)]. 5624 K(x,y) != z | K(y,x) \ 1 = z. [para(5605(a,1),217(a,1)),flip(b)]. 5628 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(22,a,2075,a(flip),b,5608,a)]. 5629 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). [para(5608(a,1),114(a,2,1))]. 5638 T(x,x \ y) / (y \ x) = x * (y / x). [para(5290(a,1),4181(a,1,1))]. 5666 K(x \ (x / y),x) = (T(x,y \ 1) / y) \ (x / y). [para(4174(a,2),5475(a,1,1)),flip(a)]. 5673 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(45(a,2),5546(a,1,2,1))]. 5694 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5603(a,1),304(a,1,1)),flip(b)]. 5708 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(3147,a,5541,a)]. 5713 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(2247(a,1),5612(a,1,2))]. 5727 (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). [para(5708(a,1),33(a,2,2,2)),flip(a)]. 5731 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(5189(a,1),19(a,1,2)),flip(a)]. 5733 K((1 / x) \ y,y) = K(y * x,y). [hyper(255,a,5177,a,b,5205,a)]. 5734 K(x * (y \ 1),x) = K(y \ x,x). [para(70(a,1),5733(a,1,1,1)),flip(a)]. 5744 x / (y * T(y \ x,z)) = K(z,x / y). [para(5222(a,1),5605(a,1,2))]. 5746 K(x * K(y,y \ 1),z) = K(x,z). [hyper(255,a,5182,a,b,5232,a)]. 5747 K(x * K(y \ 1,y),z) = K(x,z). [para(1451(a,1),5746(a,1,1,2))]. 5756 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(3097(a,1),5746(a,1,1))]. 5762 K(x \ K(y \ 1,y),z) = K(x \ 1,z). [para(4861(a,1),5747(a,1,1))]. 5769 R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). [hyper(255,a,3792,a(flip),b,5238,a(flip)),flip(a)]. 5772 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). [hyper(255,a,1332,a(flip),b,5238,a(flip)),flip(a)]. 5774 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(5238(a,1),1053(a,2,2))]. 5775 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(5238(a,1),2052(a,1,2))]. 5776 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [para(5238(a,1),2420(a,2,2))]. 5782 K(x,y / (z * y)) = K(x,z \ 1). [hyper(5325,a,5278,a)]. 5785 K(x,(y \ z) / z) = K(x,y \ 1). [para(19(a,1),5782(a,1,2,2))]. 5786 K(x,(y / z) \ 1) = K(x,z / y). [para(21(a,1),5782(a,1,2,2)),flip(a)]. 5791 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(452(a,1),5785(a,1,2,1)),flip(a)]. 5794 K(x,y * K(z,z \ 1)) = K(x,y). [hyper(255,a,5186,a,b,5279,a)]. 5797 K(x,K(y,y \ 1) * z) = K(x,z). [para(2247(a,2),5794(a,1,2))]. 5809 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(4967(a,2),5794(a,1,2))]. 5820 T(x * K(x * y,x),y) = R(x,y,x). [hyper(23,a,4475,a,b,5298,a)]. 5828 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(5299(a,2),5458(a,1))]. 5829 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(5337(a,1),5264(a,1))]. 5842 K(x,y * x) = K(x,x * y). [hyper(5456,a,5454,a)]. 5850 x * (K(x,y) * T(z,x)) = K(x,y) * (z * x). [hyper(255,a,5220,a,b,5538,a),flip(a)]. 5854 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5558(a,2),3335(a,1))]. 5855 K(x,y) * (y * z) = ((x * y) / x) * z. [para(18(a,1),5561(a,1,2)),flip(a)]. 5860 T(x,x \ (y * x)) / ((y * x) \ x) = x * y. [para(20(a,1),5638(a,2,2))]. 5884 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1743(a,1),5744(a,1,2))]. 5889 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(189(a,1),5762(a,1,1,2))]. 5902 (K(x,y) * y) * z = K(x,y) * (y * z). [para(5267(a,1),5855(a,2,1)),flip(a)]. 5911 R(K(x,y),y,z) = K(x,y). [hyper(5091,a,5902,a)]. 5929 L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2654(a,1),5488(a,1))]. 5931 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(4192(a,2),5507(a,1))]. 5961 K((x \ (y \ x)) \ 1,z) = T(K(y,z),x). [para(5177(a,2),5185(a,1,1)),flip(a)]. 5962 T(K(x / y,z),x) = K((x \ y) \ 1,z). [para(73(a,1),5961(a,1,1,1,2)),flip(a)]. 5963 T(K(x / y,z),x) \ 1 = K(z,(x \ y) \ 1). [para(5962(a,2),5381(a,1,1))]. 5965 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(5489,a,5223,a)]. 5968 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3312(a,1),5965(a,2,1))]. 5970 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). [para(5968(a,1),5394(a,1,2)),flip(a)]. 5971 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(5186(a,2),5244(a,1,1)),flip(a)]. 5974 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(73(a,1),5971(a,2,1,2))]. 5975 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(5971(a,2),127(a,1,2))]. 5976 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(3702(a,1),5971(a,2,1))]. 5982 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(5731(a,1),5974(a,1,2))]. 5984 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(23,a,5265,a,b,5300,a),flip(a)]. 5991 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(81,a,5431,a,b,5267,a(flip))]. 5992 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(5431(a,2),5180(a,2,1)),flip(a)]. 6018 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(958,a,5515,a)]. 6019 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(849,a,5515,a),flip(a)]. 6021 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(255,a,1138,a(flip),b,5515,a(flip)),flip(a)]. 6025 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(255,a,925,a(flip),b,5517,a)]. 6042 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2821(a,1),5809(a,1,2,1)),flip(a)]. 6059 T(x,T(y,x)) / ((y * x) \ x) = x * y. [para(37(a,2),5860(a,1,1,2))]. 6060 T(x,y) / ((y * x) \ x) = x * y. [para(4446(a,1),6059(a,1,1))]. 6062 (x * y) \ T(x,y) = (y * x) \ x. [para(6060(a,1),73(a,1,1))]. 6065 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(255,a,4779,a,b,6062,a(flip)),flip(a)]. 6085 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(255,a,5976,a(flip),b,5970,a(flip))]. 6086 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(6085(a,1),73(a,1,1))]. 6087 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [para(6085(a,1),5183(a,2,1)),flip(a)]. 6088 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(255,a,5963,a(flip),b,6086,a(flip))]. 6090 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(6086(a,1),5184(a,2,2)),flip(a)]. 6091 L(T(K(x,y),z),K(y,x),z) = (K(y,x) * z) \ z. [para(6086(a,1),6065(a,1,1))]. 6092 K(K(x,y),z) = K(z,K(y,x)). [hyper(255,a,5455,a(flip),b,6087,a(flip)),flip(a)]. 6093 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(5624,a,6092,a)]. 6094 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(6092(a,1),5252(a,2,2)),flip(a)]. 6095 x * K(K(y,z),x) = T(x,K(z,y)). [para(6092(a,2),5252(a,2,2)),flip(a)]. 6097 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(6092(a,1),5384(a,1,1))]. 6112 T(K(x,y),y * z) = K(x,((y * z) \ z) \ 1). [para(20(a,1),6088(a,1,1,2))]. 6116 K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. [para(6094(a,1),5612(a,1,2)),flip(b)]. 6119 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(5381(a,1),6097(a,1))]. 6120 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(5455(a,2),6119(a,1))]. 6121 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(129(a,1),5975(a,1,2,2,1)),flip(a)]. 6133 K(x,y) * K(y,((x * z) \ z) \ 1) = K(x * z,K(x,y)). [para(6112(a,1),6090(a,1,2))]. 6146 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(5512(a,1),5493(a,1))]. 6147 K(x \ 1,y) != z | K(1 / x,y) = z. [para(68(a,1),6146(a,1,1,1))]. 6155 T(x,K(y,y \ 1)) != z | z = x. [para(5607(a,1),5713(a,1))]. 6157 T(x / y,y) != z | y \ x = z. [para(1386(a,1),6155(a,1)),flip(b)]. 6185 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(5186(a,2),5234(a,1,1))]. 6187 K(x,L(x,y,z) \ 1) = K(x,x \ 1). [hyper(255,a,4960,a(flip),b,6185,a(flip))]. 6189 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(73(a,1),6185(a,1,1,2)),flip(a)]. 6191 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3702(a,1),6185(a,1,1)),flip(a)]. 6193 T(x,L(x,y,z) \ 1) = K(x,x \ 1) * x. [para(6187(a,1),5263(a,2,1))]. 6194 K(x,T(y,L(y,z,u) \ 1)) = K(x,y). [para(6193(a,2),5797(a,1,2))]. 6195 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(342(a,1),6191(a,1,2,1)),flip(a)]. 6200 (x * y) / (y * K(z,y)) = (x / (y * K(z,y))) * y. [para(5217(a,1),5438(a,1,2))]. 6204 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(5187(a,1),5510(a,1,1))]. 6205 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(5240(a,2),5510(a,1,1)),flip(a)]. 6212 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(6205(a,1),6204(a,1,1)),flip(a)]. 6214 (x * y) * z != x * T(y,u) | K(((x * y) \ x) \ 1,u) = z. [para(5516(a,1),24(a,1)),flip(a)]. 6223 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(848(a,1),5526(a,1,2))]. 6224 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5525(a,2),5526(a,1,2))]. 6227 (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). [hyper(5489,a,5666,a),flip(a)]. 6228 K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). [hyper(255,a,3479,a,b,6227,a(flip)),flip(a)]. 6229 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(20(a,1),6228(a,1,2,2))]. 6230 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(6147,a,6229,a)]. 6231 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [para(6230(a,1),5472(a,1,2)),flip(a)]. 6237 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(5069(a,1),5884(a,1,2))]. 6238 R(K(x,y),x,z) != u | K(x,y) = u. [para(4373(a,2),5931(a,1))]. 6244 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(6018(a,1),19(a,1,2))]. 6252 ((x * K(y,z)) / (z * K(y,z))) * z = R(x,K(y,z),z). [hyper(3160,a,6200,a),flip(a)]. 6257 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3312(a,1),6224(a,1,2,1))]. 6258 x * K((1 / y) \ 1,x * (1 / y)) = y * (x / y). [hyper(255,a,3220,a(flip),b,6231,a(flip))]. 6260 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5381(a,1),6244(a,1,2,2,1,1,2))]. 6261 x * K(y,x * (1 / y)) = y * (x / y). [para(73(a,1),6258(a,1,2,1))]. 6262 K(x,y * (1 / x)) = K(x,x \ y). [hyper(22,a,5472,a,b,6261,a)]. 6266 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(6262(a,1),5394(a,1,2)),flip(a)]. 6268 K(x * (1 / y),y) = K(y \ x,y). [hyper(255,a,5394,a(flip),b,6266,a)]. 6272 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(70(a,1),6268(a,1,1,2)),flip(a)]. 6287 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(255,a,4686,a(flip),b,6272,a(flip))]. 6288 K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). [para(6287(a,1),5982(a,1,2,2))]. 6298 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(255,a,5982,a(flip),b,6288,a(flip))]. 6299 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6298(a,2),5455(a,1,1))]. 6300 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(6120,a,6299,a),flip(a)]. 6301 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(6119,a,6300,a),flip(a)]. 6303 T((x * K(y,z)) \ x,x) = (K(y,z) * x) \ x. [hyper(255,a,6091,a(flip),b,5397,a)]. 6331 R(x * y,K(z,y),y) = R(x,y,K(z,y)) * y. [para(35(a,2),6252(a,1,1)),flip(a)]. 6332 R(x * y,K(z,y),y) != u * y | R(x,y,K(z,y)) = u. [para(6331(a,2),25(a,1))]. 6346 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(5187(a,1),5528(a,1,1,2))]. 6349 (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. [hyper(87,a,6346,a)]. 6353 R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). [para(6349(a,1),1061(a,1,1)),flip(a)]. 6358 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(5238(a,1),5769(a,1,1))]. 6361 K(x,R(1 / y,z,u) \ 1) = R(K(x,y),z,u). [para(73(a,1),6358(a,1,1,2)),flip(a)]. 6363 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5786(a,1),6358(a,1,1)),flip(a)]. 6370 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(255,a,5791,a(flip),b,6363,a(flip))]. 6374 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(21(a,1),6370(a,2,2,2))]. 6375 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(70(a,1),6370(a,1,1,2)),flip(a)]. 6376 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(5583(a,1),6374(a,1,1))]. 6377 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(120(a,2),6375(a,1,2))]. 6381 K(x,R(y,T(y,x) \ z,u)) = R(K(x,T(y,x)),z,u). [hyper(5504,a,6377,a)]. 6382 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(18(a,1),6377(a,1,2,2)),flip(a)]. 6391 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(255,a,5786,a,b,6376,a)]. 6396 K(x,R(y,T(y,x) \ z,u)) = R(K(x,y),z,u). [para(5373(a,1),6381(a,2,1))]. 6400 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(6391(a,1),47(a,2,1))]. 6402 x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). [para(19(a,1),5772(a,1,2,2,1))]. 6406 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(5072,a,6021,a),flip(a)]. 6468 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(5187(a,1),5929(a,1,1))]. 6470 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(6468,a,xx),flip(a)]. 6475 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3312(a,1),6470(a,1,1)),flip(a)]. 6479 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(6475(a,1),5381(a,1,1)),flip(a)]. 6480 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(6475(a,1),5600(a,1,1)),flip(a)]. 6483 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(255,a,6191,a(flip),b,6479,a(flip))]. 6484 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [para(6483(a,1),70(a,1,2))]. 6485 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(6483(a,1),303(a,1,2)),flip(b)]. 6486 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6484(a,1),219(a,1,1)),flip(b)]. 6488 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(6191(a,1),6480(a,1,1)),flip(a)]. 6490 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(255,a,2077,a(flip),b,6488,a)]. 6510 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(5261(a,1),5399(a,1,2))]. 6521 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [para(127(a,1),6019(a,2,2))]. 6523 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(529(a,1),6212(a,1,1,1)),flip(a)]. 6529 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3312(a,1),6257(a,2,1))]. 6532 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(18(a,1),6529(a,1,2,2)),flip(a)]. 6536 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [para(127(a,1),6532(a,2,2))]. 6544 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5515(a,2),6260(a,1,2))]. 6551 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(255,a,6090,a(flip),b,6510,a)]. 6557 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(87,a,6544,a)]. 6558 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6544(a,1),24(a,1))]. 6560 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6557(a,1),5025(a,1,1))]. 6563 x * (y * ((z \ (y \ z)) * z)) = (x * K(y \ 1,z)) * z. [hyper(255,a,5118,a(flip),b,5530,a(flip)),flip(a)]. 6564 (x * K(y \ 1,z)) * z = x * (z * K(y \ 1,z)). [para(5224(a,1),6563(a,1,2)),flip(a)]. 6565 R(x,K(y \ 1,z),z) = x. [hyper(3159,a,6564,a)]. 6566 R(x,K(y,z),z) = x. [para(73(a,1),6565(a,1,2,1))]. 6567 R(x,y,K(z,y)) = x. [hyper(6332,a,6566,a)]. 6568 (x * K(y,z)) * z = x * (z * K(y,z)). [para(6566(a,1),3157(a,1,1)),flip(a)]. 6569 (x * y) * K(z,y) = x * (y * K(z,y)). [para(6567(a,1),122(a,1,1)),flip(a)]. 6572 L(K(x,y),y,z) = K(x,y). [hyper(422,a,6569,a)]. 6573 (x * K(y,z)) * z = (x * z) * K(y,z). [hyper(255,a,6568,a,b,6569,a),flip(a)]. 6576 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(5268(a,1),6569(a,2,2))]. 6577 L(K(x,y),y,z) = K(x,y * K(x,y)). [hyper(255,a,5392,a,b,6572,a)]. 6579 a(x,y,K(z,y)) = 1. [hyper(39,a,6572,a)]. 6580 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(255,a,6195,a(flip),b,6572,a(flip)),flip(a)]. 6581 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(6572(a,1),50(a,1,1)),flip(a)]. 6583 L(K(x,y),x,z) = K(y,x) \ 1. [para(6572(a,1),6483(a,1,1)),flip(a)]. 6584 a(x,T(y,z),K(z,y)) = 1. [para(4195(a,1),6579(a,1,3))]. 6585 L(K(x,y),T(y,x),z) = K(x,y). [hyper(38,a,6584,a)]. 6586 L(K(x,y),x,z) = K(x,y). [hyper(255,a,5381,a(flip),b,6583,a)]. 6588 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(255,a,5256,a,b,6586,a(flip)),flip(a)]. 6589 x \ ((x / y) * T(y,z)) = K(y,z). [hyper(255,a,5260,a(flip),b,6586,a(flip)),flip(a)]. 6591 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(6586(a,1),495(a,1,2,1))]. 6594 (x * T(y,z)) \ (x * y) = K(z,y). [hyper(255,a,5202,a(flip),b,6585,a(flip)),flip(a)]. 6597 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [hyper(255,a,5381,a,b,6580,a)]. 6604 K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). [para(114(a,2),6580(a,1,2,1))]. 6612 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(6580(a,1),6185(a,1,1)),flip(a)]. 6613 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6580(a,1),5775(a,1,2))]. 6615 K(x,y) * K(y,z \ (x * z)) = K(x * z,K(x,y)). [para(6580(a,1),6133(a,1,2))]. 6618 (x * y) * K(y,z) = x * T(y,z). [para(6588(a,1),19(a,1,2))]. 6619 x \ (y * T(y \ x,z)) = K(y \ x,z). [para(19(a,1),6588(a,1,1))]. 6629 (x / y) * T(y,z) = x * K(y,z). [para(6589(a,1),19(a,1,2)),flip(a)]. 6633 (x * T(y,z)) * K(z,y) = x * y. [para(6594(a,1),19(a,1,2))]. 6634 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(19(a,1),6594(a,1,2))]. 6635 ((x / y) * T(y,z)) \ x = K(z,y). [para(21(a,1),6594(a,1,2))]. 6641 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(6214,a,6618,a)]. 6643 x * T(x \ y,z) = y * K(x \ y,z). [hyper(519,a,6618,a),flip(a)]. 6645 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(172,a,6618,a,b,19,a),flip(a)]. 6647 x * T(x \ y,z) != u | y * K(x \ y,z) = u. [para(6618(a,1),519(a,1))]. 6659 (x * T(y,z)) / y = x * K(y,z). [hyper(255,a,1345,a,b,6629,a(flip)),flip(a)]. 6663 (x * K(y,z)) * y = x * T(y,z). [para(6629(a,1),1343(a,1,1))]. 6664 (x * K(y,z)) \ (x * T(y,z)) = y. [para(6629(a,1),1347(a,1,1))]. 6667 (x / T(y,z)) * y = x * K(z,y). [hyper(308,a,6633,a),flip(a)]. 6670 (x * K(y,z)) \ x = K(z,y). [para(6629(a,1),6635(a,1,1))]. 6671 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(255,a,6191,a(flip),b,6670,a)]. 6672 (x * K(y,z)) * K(z,y) = x. [para(6670(a,1),19(a,1,2))]. 6673 x / K(y,z) = x * K(z,y). [para(6670(a,1),70(a,1,2))]. 6675 (x * K(y,z)) * K(z,y) != u | u = x. [para(6670(a,1),220(a,1,2))]. 6677 x / K(y,z) != u | x * K(z,y) = u. [para(6670(a,1),303(a,1,2)),flip(b)]. 6678 L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). [para(6670(a,1),114(a,1,1))]. 6682 (K(x,y) * z) \ z = T(K(y,x),z). [para(6670(a,1),6303(a,1,1)),flip(a)]. 6685 (x * (y * K(z,y))) \ (x * y) = K(y,z). [para(6569(a,1),6670(a,1,1))]. 6692 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y * K(z,u),K(u,z)). [para(6672(a,1),29(a,2,1,2)),flip(a)]. 6693 (x * K(y,z)) \ x != u | K(z,y) = u. [para(6672(a,1),222(a,1,2)),flip(b)]. 6700 x / K(y,z) != x * u | K(z,y) = u. [para(6673(a,2),24(a,1))]. 6707 K((x \ y) \ 1,z) = K(y \ x,z). [para(19(a,1),6641(a,1,1,1,1))]. 6716 T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. [para(6659(a,1),6157(a,1,1))]. 6719 (x * K(y,z)) * y = (x * y) * K(y,z). [hyper(255,a,6618,a,b,6663,a)]. 6723 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(23,a,4695,a(flip),b,6663,a)]. 6731 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(6633(a,1),6663(a,1,1)),flip(a)]. 6733 L(x,K(x,y),z) = x. [hyper(5349,a,6664,a)]. 6735 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6733(a,1),429(a,1,2,1))]. 6746 x * K(y,z) != u * z | x / T(z,y) = u. [para(6667(a,1),25(a,1))]. 6750 (K(x,y) * z) * T(K(y,x),z) = z. [para(6682(a,1),19(a,1,2))]. 6757 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(255,a,5961,a(flip),b,6707,a(flip))]. 6761 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(114(a,2),6707(a,1,1,1))]. 6764 T(x,(y \ z) \ 1) = K(z \ y,x) \ x. [para(6707(a,1),5208(a,2,1))]. 6769 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [para(6707(a,1),6018(a,2,2))]. 6773 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(6707(a,1),6406(a,1,2))]. 6774 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(6707(a,1),6470(a,1,1)),flip(a)]. 6775 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(6707(a,1),6521(a,1,2))]. 6783 (x \ y) * K(y,x) = x \ T(y,x). [hyper(23,a,6672,a,b,6723,a),flip(a)]. 6790 K(T(x,x \ y),z) = T(K(x,z),y). [para(128(a,2),6757(a,1,1))]. 6792 x \ T(x * y,x) = y * K(x * y,x). [para(18(a,1),6783(a,1,1)),flip(a)]. 6794 T(x,y) * K(y,T(x,y)) != z | z = x. [para(5212(a,1),6675(a,1,1))]. 6797 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5984(a,1),6693(a,1,1))]. 6799 (x * (y * K(z,y))) \ (x * y) != u | K(y,z) = u. [para(6569(a,1),6693(a,1,1))]. 6800 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(6095(a,1),6794(a,1))]. 6817 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(6597(a,2),5384(a,1))]. 6821 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(6619(a,1),439(a,1,1))]. 6827 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(832(a,1),6634(a,1,1))]. 6828 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1638(a,1),6634(a,1,1))]. 6832 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(6643(a,2),222(a,1,2)),flip(b)]. 6847 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(80,a,112,a(flip),b,6731,a)]. 6850 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(255,a,5208,a,b,6764,a)]. 6854 T(x,(y * z) \ y) = T(x,z \ 1). [para(18(a,1),6850(a,1,2,1)),flip(a)]. 6896 K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u. [para(37(a,2),6817(a,1,2,1))]. 6906 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(255,a,2410,a(flip),b,6613,a),flip(a)]. 6907 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(255,a,5413,a(flip),b,6645,a(flip))]. 6908 x * T(y / x,T(x,z)) = T(y,K(x,z)). [para(21(a,1),6907(a,1,1)),flip(a)]. 6909 x \ T(y,K(x,z)) = T(y / x,T(x,z)). [hyper(87,a,6908,a)]. 6915 K((x \ 1) \ y,x) = K(x * y,x). [hyper(22,a,6792,a(flip),b,6769,a(flip))]. 6916 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6769(a,1),5026(a,1,1))]. 6933 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(832(a,1),6832(a,1,2))]. 6950 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(37(a,2),6615(a,1,2,2))]. 6951 T(K(x,y),y * z) = K(x,T(y,z)). [hyper(22,a,6090,a,b,6950,a),flip(a)]. 6953 K(x,T(y,y \ z)) = T(K(x,y),z). [para(19(a,1),6951(a,1,2)),flip(a)]. 6955 K(x,y) * K(y,T(x,z)) != u | K(x * z,K(x,y)) = u. [para(6951(a,1),6116(a,1,2))]. 6970 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(22,a,6773,a,b,6775,a)]. 6971 (x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z). [para(6775(a,1),6670(a,1,1))]. 6972 1 / K((x * y) \ z,x) = K(x,(y * x) \ z). [para(6970(a,1),5394(a,1,2))]. 6973 K(x,(y * x) \ z) = K(x,(x * y) \ z). [hyper(5395,a,6972,a),flip(a)]. 6974 K(x,(y * x) \ z) != u | K(x,(x * y) \ z) = u. [para(6972(a,1),5395(a,1))]. 6986 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [hyper(255,a,6612,a(flip),b,6604,a(flip)),flip(a)]. 6988 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(19(a,1),6986(a,2,2,1))]. 6989 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(19(a,1),6986(a,2,2,2))]. 6990 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(73(a,1),6986(a,1,1,2)),flip(a)]. 7005 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(6988(a,1),112(a,1,2))]. 7007 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(116(a,2),6990(a,1,2))]. 7008 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [hyper(255,a,6483,a,b,7007,a)]. 7009 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(20(a,1),7007(a,1,2,2)),flip(a)]. 7012 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(255,a,6581,a,b,7009,a(flip)),flip(a)]. 7015 T(x,K(y,L(x,z,u))) = x. [para(7009(a,1),3223(a,1,2))]. 7017 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(7008(a,2),6486(a,1))]. 7020 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(7009(a,1),7012(a,1,1))]. 7021 K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. [para(70(a,1),7017(a,1,2,2))]. 7030 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(255,a,6774,a(flip),b,6761,a(flip)),flip(a)]. 7032 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(19(a,1),7030(a,2,1,1))]. 7033 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(19(a,1),7030(a,2,1,2))]. 7034 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(73(a,1),7030(a,1,1,1)),flip(a)]. 7035 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(127(a,1),7030(a,2,1,2))]. 7036 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(114(a,2),7030(a,2,1))]. 7037 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(5608(a,1),7030(a,2,1,1))]. 7038 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(6915(a,1),7030(a,1,1))]. 7040 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(3052(a,1),7036(a,2,1))]. 7041 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(255,a,7020,a(flip),b,7032,a(flip)),flip(a)]. 7044 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(116(a,2),7034(a,1,1))]. 7045 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(255,a,33,a(flip),b,7044,a)]. 7046 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(20(a,1),7044(a,1,1,2)),flip(a)]. 7047 K(L(x,y,z),y * x) = K(x,y * x). [hyper(255,a,6572,a(flip),b,7046,a(flip))]. 7048 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(7046(a,1),485(a,1,2))]. 7049 K(L(x,y,z),y * x) = K(x,x * y). [hyper(255,a,5842,a(flip),b,7047,a)]. 7051 L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z). [hyper(255,a,5756,a(flip),b,7040,a)]. 7053 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(6677,a,7048,a)]. 7054 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(7048(a,1),6700(a,1)),flip(a)]. 7063 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(114(a,1),7021(a,1,2))]. 7064 K(x,(y * z) \ u) != w | L(K(x,z \ (y \ u)),y \ u,y) = w. [para(241(a,1),7021(a,1,2))]. 7066 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(255,a,3764,a(flip),b,7033,a(flip))]. 7067 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(7033(a,1),418(a,1,2)),flip(a)]. 7068 L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). [para(6915(a,1),7033(a,1,1))]. 7070 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(255,a,5416,a,b,7066,a(flip)),flip(a)]. 7071 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(7045(a,2),431(a,1))]. 7076 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(6475(a,1),6671(a,1,1,2))]. 7077 (x * L(K(y,z),u,w)) * L(K(z,y),u,w) = x. [para(7076(a,1),19(a,1,2))]. 7081 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(112(a,1),7076(a,1,1))]. 7082 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(418(a,1),7076(a,1,1))]. 7083 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(209,a,7077,a),flip(a)]. 7086 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(7083(a,1),222(a,1,2)),flip(b)]. 7094 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(832(a,1),6827(a,1,1,2))]. 7096 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(255,a,45,a,b,6847,a)]. 7104 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(5216(a,1),7096(a,2,1))]. 7106 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(255,a,7081,a(flip),b,6678,a)]. 7114 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(73(a,1),6828(a,1,1,1,2,1))]. 7119 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(7005(a,1),24(a,1)),flip(a)]. 7122 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(7067(a,2),6693(a,1,1))]. 7180 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5774(a,1),5776(a,1,1))]. 7183 (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). [para(3702(a,1),7180(a,1,1,2)),flip(a)]. 7184 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3702(a,1),7183(a,1,2)),flip(a)]. 7202 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(4395(a,1),6523(a,1,1)),flip(a)]. 7203 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(6146,a,7202,a)]. 7206 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(120(a,2),7203(a,1,1))]. 7208 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(18(a,1),7206(a,1,1,2)),flip(a)]. 7209 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(7206(a,2),122(a,1,1))]. 7230 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(6629(a,1),7114(a,1,1,1)),flip(a)]. 7231 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(7230(a,2),19(a,1,2))]. 7232 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)). [para(6735(a,1),7230(a,2,1))]. 7233 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(7231(a,1),6670(a,1,1)),flip(a)]. 7238 (x * y) \ ((x * K(z \ x,u)) * y) = K((z * y) \ (x * y),u). [para(70(a,1),7233(a,1,1,1,1)),flip(a)]. 7239 (x * y) * K((z * y) \ (x * y),u) = (x * K(z \ x,u)) * y. [para(7238(a,1),19(a,1,2))]. 7240 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(22,a,6573,a(flip),b,7239,a)]. 7242 (x * (y * K(z \ u,y))) \ (x * y) = K(y,(z * y) \ (u * y)). [para(7240(a,1),6685(a,1,1,2,2))]. 7244 K(x,(y * x) \ (z * x)) = K(x,y \ z). [hyper(6799,a,7242,a),flip(a)]. 7245 K(x,(x * y) \ (z * x)) = K(x,y \ z). [hyper(6974,a,7244,a)]. 7246 K(x,(y / x) \ z) = K(x,y \ (z * x)). [para(21(a,1),7244(a,1,2,1)),flip(a)]. 7247 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [para(19(a,1),7245(a,1,2,1)),flip(a)]. 7248 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [para(7246(a,1),6989(a,1,1))]. 7250 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(18(a,1),7247(a,1,2)),flip(a)]. 7251 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(7247(a,1),6989(a,1,1))]. 7252 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [hyper(255,a,3312,a,b,7248,a)]. 7254 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(255,a,7248,a(flip),b,7251,a(flip)),flip(a)]. 7255 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(7254(a,1),5602(a,1,2,2))]. 7256 L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(7254(a,1),6989(a,1,1))]. 7272 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(7255(a,1),5694(a,1))]. 7278 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(5439(a,1),703(a,2,1)),flip(a)]. 7279 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5828,a,7278,a)]. 7281 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(848(a,1),5529(a,1,2))]. 7304 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6821(a,2),6933(a,1))]. 7305 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(7082(a,1),7122(a,1))]. 7308 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (y / x)) \ u) = w. [para(7246(a,1),7305(a,1,1))]. 7309 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. [para(7247(a,1),7305(a,1,1))]. 7348 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(127(a,1),7094(a,1,1,2,2))]. 7349 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(5145(a,2),7348(a,1,1))]. 7350 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(5311(a,1),7104(a,1,1,2))]. 7351 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(5284(a,1),7350(a,1,2,2))]. 7353 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(7251(a,1),7308(a,1))]. 7354 K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. [para(7248(a,1),7309(a,1))]. 7362 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(255,a,5055,a(flip),b,5068,a(flip))]. 7363 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(4058(a,2),5070(a,1,1))]. 7389 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(5116(a,2),7362(a,1,2))]. 7390 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(230,a,7363,a),flip(a)]. 7391 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(7070(a,1),7390(a,2,1))]. 7392 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(7391(a,1),6237(a,1,2)),flip(a)]. 7393 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(255,a,5605,a(flip),b,7392,a)]. 7396 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(255,a,5585,a(flip),b,7393,a(flip)),flip(a)]. 7397 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(255,a,6402,a,b,7396,a(flip)),flip(a)]. 7399 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(224,a,7389,a),flip(a)]. 7400 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(7397(a,1),7399(a,2,2))]. 7402 (x \ (y * (T(z,x) \ z))) * x = ((x \ y) * x) * (T(z,x) \ z). [para(167(a,1),5052(a,1,1)),flip(a)]. 7404 ((x \ y) * x) * (T(z,x) \ z) = (x \ (y * K(x,z))) * x. [para(5177(a,2),7402(a,1,1,2,2)),flip(a)]. 7405 (x \ (y * K(x,z))) * x = ((x \ y) * x) * K(x,z). [para(5177(a,2),7404(a,1,2)),flip(a)]. 7407 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(23,a,6719,a,b,7405,a)]. 7408 x * ((x \ y) * K(x,z)) = y * K(x,z). [para(7407(a,1),19(a,1,2))]. 7410 (x * y) * K(x,z) = x * (y * K(x,z)). [para(18(a,1),7408(a,1,2,1)),flip(a)]. 7411 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(7119,a,7410,a),flip(a)]. 7412 R(x,y,K(x,z)) = x. [hyper(454,a,7410,a)]. 7413 L(K(x,y),z,x) = K(x,y). [hyper(422,a,7410,a)]. 7420 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(7412(a,1),460(a,1,1,1)),flip(a)]. 7424 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(7305,a,7413,a)]. 7427 K(L(x,y,x),z) = K(x,z). [hyper(255,a,7046,a(flip),b,7413,a(flip)),flip(a)]. 7428 K(x,L(y,z,x)) = K(x,y). [hyper(255,a,7009,a(flip),b,7413,a(flip)),flip(a)]. 7432 K(R(x,y,x),z) = K(x,z). [para(4816(a,1),7427(a,1,1)),flip(a)]. 7433 T(x,L(y,z,y)) = x / K(y,x). [para(7427(a,1),5197(a,2,2))]. 7435 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(50(a,1),7428(a,1,2))]. 7440 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(7428(a,1),7046(a,1,1)),flip(a)]. 7443 K(T(x,x \ y),z) = K(T(x,y),z). [para(4642(a,1),7432(a,1,1))]. 7446 K(x,R(y,z,y)) = 1 / K(y,x). [para(7432(a,1),5394(a,1,2)),flip(a)]. 7450 (K(x,y) * z) * x = K(x,y) * (z * x). [para(7432(a,1),7209(a,1,1)),flip(a)]. 7467 T(x,L(y,z,y)) = x * K(x,y). [hyper(255,a,6673,a(flip),b,7433,a)]. 7482 K(x,R(y,z,y)) = K(x,y). [hyper(255,a,5394,a(flip),b,7446,a)]. 7483 K(x,R(y,z,y)) != u | K(x,y) = u. [para(7446(a,2),5395(a,1))]. 7484 R(K(x,y),z,y) = K(x,y). [hyper(255,a,6396,a(flip),b,7482,a(flip)),flip(a)]. 7486 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4642(a,1),7482(a,1,2))]. 7488 (K(x,y) * z) * y = K(x,y) * (z * y). [para(7484(a,1),122(a,1,1)),flip(a)]. 7502 K(x,L(y,z,y)) = K(x,y). [hyper(5323,a,7467,a)]. 7503 L(K(x,y),z,y) = K(x,y). [hyper(7017,a,7502,a)]. 7505 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(7304,a,7503,a)]. 7506 K(L(x,y,z),z) = K(x,z). [hyper(255,a,7046,a(flip),b,7503,a(flip)),flip(a)]. 7513 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(50(a,1),7506(a,1,1))]. 7514 T(x * K(y,x),L(y,z,x)) = x. [para(7506(a,1),5216(a,1,1,2))]. 7517 T(x,L(y,z,x)) = T(x,y). [para(7514(a,1),5295(a,1,1)),flip(a)]. 7518 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(241(a,1),7517(a,1,2))]. 7522 K(T(x,y),z) = T(K(x,z),y). [hyper(255,a,6790,a(flip),b,7443,a(flip))]. 7524 K(T(x,K(y,z)),y) = K(x,y). [hyper(255,a,2072,a(flip),b,7522,a)]. 7525 x * K(T(y,x),z) = K(y,z) * x. [para(7522(a,2),127(a,1,2))]. 7527 (K(x,y) * z) * K(T(y,z),x) = z. [para(7522(a,2),6750(a,1,2))]. 7528 K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). [para(7524(a,1),5263(a,2,1)),flip(a)]. 7534 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(4642(a,1),7483(a,1,2))]. 7539 K(x,T(y,z)) = T(K(x,y),z). [hyper(255,a,6953,a(flip),b,7486,a(flip))]. 7542 K(T(x,y),z) = K(x,T(z,y)). [hyper(255,a,7522,a,b,7539,a),flip(a)]. 7546 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [hyper(255,a,6400,a,b,7539,a),flip(a)]. 7549 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(255,a,6094,a,b,7539,a),flip(a)]. 7550 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). [hyper(255,a,5971,a,b,7539,a),flip(a)]. 7557 T(T(K(x,y),z),u) = T(K(x,T(y,u)),z). [para(7539(a,2),43(a,1,1)),flip(a)]. 7559 x * K(y,T(z,x)) = K(y,z) * x. [para(7539(a,2),127(a,1,2))]. 7564 x * T(K(x,y),z) = T(x,T(y,z)). [para(7539(a,1),5252(a,2,2)),flip(a)]. 7567 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7539(a,2),6090(a,1,2))]. 7572 (K(x,y) * z) * K(y,T(x,z)) = z. [para(7539(a,2),6750(a,1,2))]. 7575 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(5624,a,7542,a)]. 7580 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(255,a,6790,a(flip),b,7542,a(flip))]. 7583 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(47(a,2),7542(a,1,1))]. 7584 K(x / y,T(z,y)) = K(y \ x,z). [para(129(a,1),7542(a,1,1)),flip(a)]. 7586 K((x * y) / x,T(z,x)) = K(y,z). [para(166(a,1),7542(a,1,1)),flip(a)]. 7611 K(x,T(y,K(z,L(x,u,w)))) = K(x,y). [para(7015(a,1),7542(a,1,1)),flip(a)]. 7625 x * K(T(y,x),z) = K(z,y) \ x. [hyper(255,a,5600,a,b,7525,a)]. 7627 K((x * y) / x,z) * x = x * K(y,z). [para(166(a,1),7525(a,1,2,1)),flip(a)]. 7628 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(7525(a,1),7081(a,1,1,2))]. 7647 (x \ y) * K(z,T(x,x \ y)) = T(x,z) \ y. [hyper(255,a,5560,a(flip),b,7559,a)]. 7649 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(22,a,6121,a(flip),b,7559,a)]. 7650 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(5622,a,7559,a(flip))]. 7653 K(x,y / z) * z = z * K(x,z \ y). [para(129(a,1),7559(a,1,2,2)),flip(a)]. 7657 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(7564(a,1),6551(a,1,2,2))]. 7658 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7575(a,1),5384(a,1))]. 7659 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(255,a,7539,a,b,7580,a)]. 7669 a(x,T(y,z),K(u,y)) = 1. [para(7586(a,1),6579(a,1,3))]. 7671 L(K(x,y),T(y,z),u) = K(x,y). [hyper(38,a,7669,a)]. 7676 (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). [hyper(255,a,5727,a,b,7671,a(flip)),flip(a)]. 7686 K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)). [para(6854(a,1),7659(a,1,2))]. 7698 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(7539(a,1),7658(a,1))]. 7701 K(x,y \ (z * x)) = K(x,y \ (x * z)). [hyper(255,a,7247,a(flip),b,7411,a(flip)),flip(a)]. 7702 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(19(a,1),7411(a,2,2,2))]. 7703 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(255,a,6973,a,b,7424,a(flip)),flip(a)]. 7705 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(190(a,1),7424(a,1,2,1)),flip(a)]. 7706 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(7424(a,1),6906(a,2,2))]. 7707 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). [para(7424(a,1),6989(a,1,1))]. 7711 L(x,y,K(x,z)) = x. [hyper(422,a,7450,a)]. 7712 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(255,a,5538,a(flip),b,7450,a)]. 7714 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(172,a,7450,a,b,5850,a)]. 7717 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(7711(a,1),428(a,1,2,1))]. 7722 L(K(x,y),z,K(y,u)) = K(x,y). [para(7711(a,1),7007(a,1,2)),flip(a)]. 7723 L(K(x,y),z,K(x,u)) = K(x,y). [para(7711(a,1),7044(a,1,1)),flip(a)]. 7727 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [hyper(255,a,7037,a(flip),b,7722,a(flip))]. 7728 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(255,a,7009,a(flip),b,7723,a(flip)),flip(a)]. 7730 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(5629(a,1),7728(a,1,2)),flip(a)]. 7746 L(x,y,K(z,x)) = x. [hyper(422,a,7488,a)]. 7752 L(K(x,y),z,K(u,x)) = K(x,y). [para(7746(a,1),7044(a,1,1)),flip(a)]. 7755 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(255,a,7009,a(flip),b,7752,a(flip)),flip(a)]. 7758 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(50(a,1),7755(a,1,2))]. 7759 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(255,a,6970,a,b,7505,a(flip)),flip(a)]. 7761 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(19(a,1),7505(a,1,1,1)),flip(a)]. 7762 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(7505(a,1),6773(a,1,2))]. 7776 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(127(a,1),7518(a,1,2,1)),flip(a)]. 7778 K(x,T(y \ 1,z)) = K(x,(y * z) \ z). [hyper(6896,a,7550,a),flip(a)]. 7781 K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). [hyper(255,a,7539,a,b,7557,a),flip(a)]. 7782 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(6955,a,7567,a)]. 7783 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(255,a,6301,a,b,7782,a(flip)),flip(a)]. 7791 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(5785(a,1),7653(a,1,1)),flip(a)]. 7802 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(19(a,1),7701(a,2,2,2))]. 7803 L(K(x,x \ (y \ z)),y \ z,y) = K(x,y \ (x \ z)). [hyper(7064,a,7703,a)]. 7804 L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). [hyper(7063,a,7703,a)]. 7805 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [hyper(255,a,6971,a,b,7703,a(flip)),flip(a)]. 7813 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [para(5536(a,1),7712(a,1,1)),flip(a)]. 7815 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6558,a,7714,a)]. 7817 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(19(a,1),7714(a,1,1)),flip(a)]. 7819 K(x \ (y \ (z * y)),y) = K(x \ z,y). [hyper(255,a,7240,a(flip),b,7759,a(flip))]. 7826 T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). [para(7802(a,1),5252(a,2,2))]. 7828 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(7815(a,1),6560(a,1,1)),flip(a)]. 7829 K(x \ 1,y) * (x \ K(y,z)) = T(x \ K(y,z),y). [hyper(255,a,5525,a,b,7817,a(flip)),flip(a)]. 7832 K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. [para(7817(a,1),6827(a,1,1,2)),flip(a)]. 7833 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(255,a,7761,a(flip),b,7819,a(flip))]. 7842 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(6716,a,7828,a)]. 7846 K(x \ ((y \ z) * y),y) = K(x \ z,y). [hyper(255,a,7761,a(flip),b,7833,a(flip))]. 7852 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(172,a,7842,a(flip),b,5535,a)]. 7855 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(5829,a,7852,a)]. 7857 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [para(129(a,1),7852(a,1,1)),flip(a)]. 7862 K(x,T(y,T(z,L(x,u,w)))) = K(x,T(y,z)). [para(7852(a,1),7611(a,1,2))]. 7876 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(255,a,6909,a,b,7857,a(flip)),flip(a)]. 7889 x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). [para(383(a,1),7876(a,2,1))]. 7895 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(6953(a,1),7534(a,1))]. 7913 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(129(a,1),7862(a,1,2,2)),flip(a)]. 7923 K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). [hyper(255,a,7855,a(flip),b,7528,a)]. 7924 K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). [hyper(5854,a,7923,a)]. 7926 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1956(a,1),7583(a,1,1)),flip(a)]. 7931 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6907(a,2),7657(a,1,2))]. 7933 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [hyper(255,a,6194,a(flip),b,7686,a(flip))]. 7942 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(22,a,7559,a,b,7791,a),flip(a)]. 7943 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(255,a,7778,a(flip),b,7942,a(flip)),flip(a)]. 7944 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [para(73(a,1),7942(a,2,2,2))]. 7948 x * K(T(y,z) \ x,y) = (y \ x) * y. [hyper(6647,a,7813,a)]. 7949 x / T(y,T(y,z) \ x) = y \ x. [hyper(6746,a,7948,a)]. 7950 T(x,T(x,y) \ z) = (x \ z) \ z. [para(7949(a,1),73(a,1,1)),flip(a)]. 7951 T(x,T(x,y) \ z) = T(x,x \ z). [hyper(255,a,128,a,b,7950,a)]. 7954 T(x,x \ (T(x,y) * z)) = T(x,z). [para(18(a,1),7951(a,1,2)),flip(a)]. 7957 T(x,K(x,y) * z) = T(x,z). [para(5534(a,1),7954(a,1,2))]. 7959 T(x,K(y,x) * z) = T(x,z). [para(5608(a,1),7957(a,1,2)),flip(a)]. 7960 T(x,T(y,x) \ z) = T(x,y \ z). [para(5560(a,1),7957(a,1,2))]. 7967 T(x,y * K(z,x)) = T(x,y). [para(7627(a,1),7959(a,1,2))]. 7968 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(7967(a,1),5253(a,1,2,1)),flip(a)]. 7970 T(x,y * K(x,z)) = T(x,y). [para(6672(a,1),7967(a,1,2)),flip(a)]. 7974 K(x,y * K(x,z)) = x \ T(x,y). [hyper(80,a,7970,a(flip),b,5252,a(flip)),flip(a)]. 7981 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(255,a,7776,a(flip),b,7960,a(flip)),flip(a)]. 7982 K(x,y * K(x,z)) = K(x,y). [hyper(255,a,5186,a,b,7974,a)]. 7984 K(x,y * K(x,z)) != u | K(x,y) = u. [para(7974(a,2),5325(a,1))]. 7988 K(x,y * K(z,x)) = K(x,y). [para(6672(a,1),7982(a,1,2)),flip(a)]. 7994 K(x,K(x,y) * z) = K(x,z). [para(7559(a,1),7982(a,1,2))]. 7997 K(x * K(y,z),z) = 1 / K(z,x). [para(7988(a,1),5394(a,1,2)),flip(a)]. 7998 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(7988(a,1),5911(a,1,1))]. 8005 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(6361(a,1),7994(a,1,2,1))]. 8007 K(x * K(y,z),z) = K(x,z). [hyper(255,a,5394,a(flip),b,7997,a)]. 8008 K(x * K(y,z),z) != u | K(x,z) = u. [para(7997(a,2),5395(a,1))]. 8017 K(K(x,y) * z,x) = K(z,x). [para(7527(a,1),8007(a,1,1)),flip(a)]. 8018 K(K(x,y) \ z,x) = K(z,x). [para(7625(a,1),8007(a,1,1))]. 8026 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(8017(a,1),6586(a,1,1))]. 8037 L(K(x,y),y,z) != u | K(x,y) = u. [para(6577(a,2),7984(a,1))]. 8039 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(7032(a,1),8037(a,1))]. 8041 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(7208(a,1),8005(a,1,2,1))]. 8044 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1560(a,1),8008(a,1,1))]. 8065 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(114(a,2),7981(a,1,2))]. 8081 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(37(a,1),8044(a,1,1,2))]. 8082 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [hyper(255,a,5252,a,b,7826,a)]. 8085 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(18(a,1),8082(a,1,2,2,1))]. 8090 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(8085(a,1),5253(a,1,2,1))]. 8098 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(5325,a,7931,a)]. 8099 K(x,K(y,z)) = K(z,K(y,x)). [hyper(255,a,7783,a(flip),b,8098,a(flip))]. 8105 x * K(y,K(z,x)) = T(x,K(z,y)). [para(8099(a,1),5252(a,2,2)),flip(a)]. 8110 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(8099(a,1),6093(a,1,1))]. 8112 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(8099(a,1),6094(a,1,2))]. 8115 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(8099(a,1),7549(a,1,2))]. 8116 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [para(8099(a,1),7924(a,1,1))]. 8134 K(x,K(y,z)) = K(y,K(x,z)). [hyper(6097,a,8110,a)]. 8150 x * K(y,K(z,x)) = T(x,K(y,z)). [para(8134(a,1),8105(a,1,2))]. 8193 T(x,K(y,z)) = T(x,K(z,y)). [hyper(255,a,8105,a(flip),b,8150,a(flip))]. 8198 T(T(x,K(y,z)),K(y,z)) = x. [hyper(6800,a,8193,a)]. 8212 T(K(x,y),z) * z = z * K(x,y). [para(8198(a,1),4584(a,1,2))]. 8227 T(T(K(x,y),z),z) = K(x,y). [hyper(393,a,8212,a)]. 8231 T(K(x,T(y,z)),z) = K(x,y). [hyper(23,a,7559,a(flip),b,8212,a)]. 8235 K(x,T(y,z)) * z = z * K(x,y). [para(7539(a,2),8212(a,1,1))]. 8236 K(x,T(T(y,z),z)) = K(x,y). [hyper(255,a,7781,a,b,8227,a(flip)),flip(a)]. 8242 K(T(x,y),T(z,y)) = K(x,z). [hyper(7698,a,8231,a)]. 8253 K((x * y) / x,z) = K(y,T(z,x)). [hyper(255,a,7586,a(flip),b,8236,a(flip))]. 8260 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(45(a,2),8242(a,1,1))]. 8274 L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)). [para(8242(a,1),7046(a,1,1))]. 8276 K(x,T(y,z)) * (z * K(y,x)) = z. [para(8242(a,1),7650(a,1,2,2))]. 8353 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(8112(a,2),7895(a,1))]. 8359 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(8116(a,1),8041(a,1,2))]. 8558 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(129(a,1),8359(a,1,2,2)),flip(a)]. 8597 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1795(a,1),8260(a,1,1))]. 8655 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(255,a,7046,a(flip),b,7440,a)]. 8656 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(439(a,1),8655(a,1,2)),flip(a)]. 8660 L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)). [hyper(255,a,7702,a(flip),b,7804,a)]. 8664 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(255,a,6382,a(flip),b,7998,a(flip)),flip(a)]. 8666 K(x,y * K(z,x)) != u | K(x,y) = u. [para(8664(a,1),7483(a,1))]. 8669 K(x,y * x) != z | K(x,x * y) = z. [para(104(a,1),8666(a,1,2))]. 8670 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(1560(a,1),8666(a,1,2))]. 8674 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(7047(a,2),8669(a,1))]. 8679 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(255,a,7046,a(flip),b,8026,a(flip)),flip(a)]. 8680 K(L(x,K(y,z),u),y) = K(x,y). [hyper(255,a,8017,a(flip),b,8679,a)]. 8683 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(241(a,1),8680(a,1,1))]. 8684 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(7759(a,2),8081(a,1))]. 8697 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(7846(a,1),8684(a,1))]. 8699 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(7030(a,2),8697(a,1))]. 8744 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(255,a,5055,a(flip),b,7706,a(flip))]. 8747 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(18(a,1),7762(a,2,2,1,2))]. 8750 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(255,a,7349,a(flip),b,7805,a(flip)),flip(a)]. 8753 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(23,a,5263,a(flip),b,7829,a),flip(a)]. 8757 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(6189(a,1),8753(a,1,1,2))]. 8759 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). [para(8757(a,1),5992(a,1,1,1,2)),flip(a)]. 8760 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [hyper(255,a,6634,a(flip),b,7832,a)]. 8761 T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). [para(8760(a,1),5252(a,2,2))]. 8763 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(6672(a,1),8760(a,1,2,1)),flip(a)]. 8766 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7572(a,1),8760(a,1,2,1)),flip(a)]. 8768 K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). [para(6475(a,1),8763(a,1,2,1,2))]. 8774 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(255,a,7730,a(flip),b,8766,a(flip)),flip(a)]. 8782 K(x,y \ (z * K(x,u))) = K(x,y \ z). [para(8235(a,1),8774(a,1,2,2))]. 8783 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(8276(a,1),8774(a,1,2,2)),flip(a)]. 8784 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(6576(a,1),8782(a,1,2,2))]. 8787 K(x,y \ (z * L(K(u,x),w,v5))) = K(x,y \ z). [para(6475(a,1),8783(a,1,2,2,2))]. 8788 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [hyper(255,a,5252,a,b,8761,a)]. 8789 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(7053(a,1),8788(a,1,2,1)),flip(a)]. 8796 K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). [para(112(a,1),8768(a,1,2,1))]. 8797 K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). [para(112(a,1),8787(a,1,2,2))]. 8808 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(7933(a,1),7279(a,1,2))]. 8889 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(255,a,8018,a(flip),b,8683,a)]. 8892 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(7053(a,1),8889(a,1,1,1)),flip(a)]. 8893 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7572(a,1),8889(a,1,1,1)),flip(a)]. 8897 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(255,a,7727,a(flip),b,8893,a(flip)),flip(a)]. 8905 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(8235(a,1),8897(a,1,1,2))]. 8909 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(7053(a,1),8905(a,1,1,2)),flip(a)]. 8923 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(22,a,7400,a(flip),b,8744,a)]. 8925 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(8923(a,1),6670(a,1,1,2)),flip(a)]. 8929 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(21(a,1),8750(a,1,2,1,2)),flip(a)]. 8931 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(8750(a,1),6670(a,1,1,2))]. 8935 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(255,a,7943,a(flip),b,8784,a(flip))]. 8937 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(7525(a,1),8796(a,1,2,1,2))]. 8938 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(7525(a,1),8797(a,1,2,2,2))]. 8966 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(424(a,1),8909(a,2,1))]. 8969 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(7354,a,8929,a)]. 8973 K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). [para(424(a,1),8938(a,1,2))]. 8979 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [para(17(a,1),8969(a,2,2,1))]. 8980 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(18(a,1),8969(a,1,2,1,2)),flip(a)]. 8981 K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). [para(21(a,1),8979(a,1,2,1)),flip(a)]. 8982 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (y / (x \ 1))) \ u). [para(8981(a,1),6989(a,1,1))]. 9001 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). [para(8808(a,1),33(a,2,2,2)),flip(a)]. 9012 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(422,a,7420,a)]. 9014 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(255,a,7046,a(flip),b,9012,a(flip)),flip(a)]. 9034 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(454,a,7717,a)]. 9037 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(255,a,7208,a(flip),b,9034,a(flip)),flip(a)]. 9103 L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). [hyper(255,a,8260,a(flip),b,8274,a)]. 9105 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(127(a,1),9103(a,1,2))]. 9106 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(169(a,1),9103(a,1,2)),flip(a)]. 9107 K(L(x,y,z),x * y) = K(x,x * y). [hyper(8037,a,9105,a),flip(a)]. 9108 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(255,a,6988,a(flip),b,9105,a(flip))]. 9109 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(5184(a,2),9105(a,1,2)),flip(a)]. 9110 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(8242(a,1),9105(a,1,1))]. 9111 K(L(x,x \ 1,y),z) = K(x,z). [hyper(255,a,322,a(flip),b,9106,a)]. 9112 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(255,a,8260,a(flip),b,9111,a(flip))]. 9113 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(255,a,8242,a(flip),b,9112,a(flip))]. 9115 L(K(x,y),K(z,x),u) = K(x,y). [hyper(255,a,9113,a(flip),b,9109,a(flip))]. 9119 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(9115(a,1),112(a,1,2))]. 9127 R(x,K(y,z),K(z,u)) = x. [hyper(454,a,9119,a)]. 9134 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(6475(a,1),9127(a,1,2))]. 9142 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(9134(a,1),489(a,1,1))]. 9286 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). [para(6591(a,2),8656(a,2,2,2)),flip(a)]. 9293 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(255,a,6670,a(flip),b,8925,a)]. 9294 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(19(a,1),9293(a,1,1,1)),flip(a)]. 9325 L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). [hyper(255,a,8260,a(flip),b,9110,a)]. 9327 K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). [para(19(a,1),9325(a,1,2)),flip(a)]. 9328 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(9327(a,2),323(a,1)),flip(b)]. 9329 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(9112(a,2),9328(a,1))]. 9330 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(43(a,1),9329(a,1,2))]. 9339 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7542(a,1),9329(a,1))]. 9343 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(8253(a,2),9339(a,1))]. 9349 K(x \ (x * y),z) != u | K(y,z) = u. [para(7584(a,1),9343(a,1))]. 9352 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(5889(a,1),9349(a,1))]. 9402 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(255,a,493,a(flip),b,7889,a(flip))]. 9403 K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). [para(9402(a,2),6536(a,1,2))]. 9404 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(255,a,7542,a(flip),b,7926,a)]. 9405 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(255,a,5253,a(flip),b,7968,a)]. 9406 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(7525(a,1),9405(a,1,2))]. 9407 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(6475(a,1),9406(a,1,2,1))]. 9417 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(9330,a,8597,a),flip(a)]. 9441 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(424(a,1),9108(a,2,2))]. 9449 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(255,a,9037,a(flip),b,9404,a(flip)),flip(a)]. 9451 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(21(a,1),9449(a,1,2,2)),flip(a)]. 9452 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(255,a,8558,a(flip),b,9451,a(flip)),flip(a)]. 9454 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(18(a,1),9452(a,1,2,2)),flip(a)]. 9457 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(255,a,8115,a,b,9454,a)]. 9462 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(9457(a,2),8353(a,1))]. 9470 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(332(a,1),9462(a,1,2,2,1))]. 9476 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(255,a,9014,a(flip),b,9417,a(flip)),flip(a)]. 9479 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(19(a,1),9476(a,1,2,2)),flip(a)]. 9480 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(255,a,7913,a,b,9479,a(flip)),flip(a)]. 9482 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(483(a,1),9480(a,1,2,2))]. 9597 K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). [hyper(6693,a,8931,a),flip(a)]. 9598 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(255,a,8892,a(flip),b,9597,a(flip)),flip(a)]. 9599 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(9598(a,1),5291(a,2,2,2)),flip(a)]. 9633 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [hyper(225,a,9403,a)]. 9634 L(K(x,y),z,x \ 1) = K(x,y). [hyper(422,a,9633,a)]. 9636 ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). [para(9633(a,1),6670(a,1,1))]. 9637 L(K(x \ 1,y),z,x) = K(x \ 1,y). [hyper(255,a,3963,a(flip),b,9634,a(flip)),flip(a)]. 9640 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(9637(a,1),112(a,1,2))]. 9652 L(K(x,y),z,y \ 1) = K(x,y). [hyper(7086,a,9636,a)]. 9656 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(255,a,7035,a(flip),b,9652,a(flip)),flip(a)]. 9658 R(x,y,K(x \ 1,z)) = x. [hyper(454,a,9640,a)]. 9660 R(T(x,y),z,K(x \ 1,u)) = T(x,y). [para(9658(a,1),47(a,2,1))]. 9662 T(x,y * K(x \ 1,z)) = T(x,y). [hyper(255,a,6353,a(flip),b,9660,a(flip))]. 9664 K(x,y * K(x \ 1,z)) = x \ T(x,y). [hyper(80,a,9662,a(flip),b,5252,a(flip)),flip(a)]. 9667 T(x,K(y,x \ 1) * z) = T(x,z). [para(7572(a,1),9662(a,1,2)),flip(a)]. 9671 T(x,K(y,1 / x) * z) = T(x,z). [para(3707(a,2),9667(a,1,2,1))]. 9672 K(K(x,1 / y) * z,y) = y / T(y,z). [para(9671(a,1),5182(a,2,2))]. 9673 K(x,y * K(x \ 1,z)) = K(x,y). [hyper(255,a,5186,a,b,9664,a)]. 9677 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(7647(a,1),9673(a,1,2))]. 9681 K(K(x,1 / y) * z,y) = K(z,y). [hyper(255,a,5182,a,b,9672,a)]. 9682 K(K(x,y \ 1) * z,y) = K(z,y). [para(3707(a,1),9681(a,1,1,1))]. 9685 K(T(x,y \ 1) \ z,y) = K(x \ z,y). [para(5536(a,1),9682(a,1,1)),flip(a)]. 9687 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(6025(a,1),9682(a,1,1))]. 9692 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). [para(9677(a,1),6989(a,1,1))]. 9727 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(5406,a,9599,a),flip(a)]. 9728 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(255,a,8789,a,b,9727,a(flip)),flip(a)]. 9733 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(7539(a,2),7546(a,1,1))]. 9735 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). [hyper(255,a,8980,a(flip),b,7707,a)]. 9772 K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). [hyper(7305,a,9692,a),flip(a)]. 9773 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(127(a,1),9772(a,1,2,1)),flip(a)]. 9774 K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). [para(166(a,1),9772(a,1,2,1,2)),flip(a)]. 9775 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [hyper(255,a,8979,a(flip),b,9773,a)]. 9776 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(255,a,7705,a(flip),b,9775,a(flip)),flip(a)]. 9777 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(9776(a,1),7252(a,1,1))]. 9778 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [hyper(6238,a,9733,a),flip(a)]. 9780 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(255,a,7944,a(flip),b,9778,a(flip))]. 9781 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(255,a,7701,a,b,9780,a)]. 9783 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(70(a,1),9781(a,1,2,1,1)),flip(a)]. 9785 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(255,a,7245,a(flip),b,9783,a(flip))]. 9787 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(9470,a,9785,a),flip(a)]. 9788 K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). [para(6488(a,1),9787(a,1,2))]. 9923 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(8090(a,1),5490(a,1))]. 9931 K(x,(y * (z / (x \ 1))) \ u) = K(x,(y * z) \ (x \ u)). [hyper(255,a,9735,a(flip),b,8982,a(flip))]. 9932 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(255,a,9774,a(flip),b,9931,a(flip))]. 9933 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(37(a,2),9932(a,1,2,2))]. 9934 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(8670,a,9933,a)]. 9935 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(255,a,6692,a(flip),b,9142,a(flip)),flip(a)]. 9936 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(255,a,2077,a(flip),b,9935,a)]. 9937 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(6672(a,1),9936(a,1,2)),flip(a)]. 9938 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(7106(a,1),9937(a,1,2))]. 9944 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(255,a,6490,a,b,9938,a(flip)),flip(a)]. 9957 x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. [para(9944(a,1),94(a,1,2)),flip(b)]. 9999 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(255,a,7513,a(flip),b,8966,a)]. 10001 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(255,a,9598,a(flip),b,9999,a(flip)),flip(a)]. 10228 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(255,a,5992,a(flip),b,8759,a)]. 10234 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [hyper(255,a,7671,a(flip),b,9001,a)]. 10324 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1940(a,2),7281(a,1,2))]. 10361 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(224,a,10324,a)]. 10362 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(6223(a,1),10361(a,1,2)),flip(a)]. 10363 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5209(a,1),10362(a,2,2))]. 10364 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(73(a,1),10363(a,1,1,2,1))]. 10365 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(73(a,1),10364(a,2,2,1,2))]. 10367 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(80,a,10365,a(flip),b,7184,a(flip))]. 10373 L(K(x,y),y \ 1,z) = K(x,y). [hyper(5532,a,10367,a)]. 10374 L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). [hyper(255,a,9294,a(flip),b,10373,a)]. 10383 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(255,a,7032,a(flip),b,10374,a(flip)),flip(a)]. 10384 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(255,a,9656,a(flip),b,10383,a(flip))]. 10385 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(255,a,9687,a(flip),b,10384,a)]. 10386 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(8081,a,10385,a)]. 10388 K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). [para(127(a,1),10386(a,1,1,1)),flip(a)]. 10391 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [hyper(255,a,9685,a(flip),b,10388,a(flip))]. 10392 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(255,a,7068,a,b,10391,a(flip)),flip(a)]. 10393 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(255,a,7038,a,b,10391,a(flip)),flip(a)]. 10396 K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). [para(10393(a,1),9938(a,1,2))]. 10455 K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). [para(10396(a,1),5628(a,1,2))]. 10456 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(9957,a,10455,a)]. 10457 L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). [para(19(a,1),10456(a,2,2,2,1))]. 10458 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(5842(a,2),10456(a,1,1))]. 10459 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(233(a,1),10458(a,2,2))]. 10467 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(255,a,7049,a(flip),b,10459,a)]. 10592 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(255,a,7758,a(flip),b,8973,a(flip))]. 10594 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(255,a,8937,a(flip),b,10592,a(flip))]. 10596 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(33(a,2),10594(a,2,2))]. 10598 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5608(a,1),10596(a,1,2,2)),flip(a)]. 10599 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10598(a,1),5602(a,1,2,2)),flip(a)]. 10600 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(255,a,5602,a(flip),b,10599,a)]. 10601 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(5207(a,1),10600(a,1,1,2)),flip(a)]. 10757 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(18(a,1),9441(a,1,2,1))]. 10759 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(33(a,2),10757(a,1,2))]. 10760 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(255,a,8655,a(flip),b,10759,a(flip)),flip(a)]. 10761 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(255,a,7435,a(flip),b,10760,a)]. 10764 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(19(a,1),10761(a,2,2,2))]. 10765 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(4621(a,1),10764(a,1,1,2))]. 10766 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(7483,a,10765,a)]. 10768 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(255,a,10601,a(flip),b,10766,a(flip))]. 10789 K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))). [hyper(255,a,9407,a(flip),b,9788,a(flip)),flip(a)]. 10834 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(255,a,10228,a(flip),b,9286,a)]. 10836 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(255,a,6580,a(flip),b,10834,a)]. 10837 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(6591(a,1),10836(a,1,2,2))]. 10840 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(7309,a,9777,a),flip(a)]. 10841 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(9352,a,10840,a)]. 10842 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(7354,a,10841,a)]. 10843 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(383(a,1),10842(a,1,2,1,2))]. 10844 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(255,a,9934,a(flip),b,10843,a(flip))]. 10846 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(255,a,7251,a,b,10844,a(flip)),flip(a)]. 10848 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(10844(a,1),7255(a,1,2,2))]. 10849 K(x,(y * z) \ (u * x)) != w | K(x,(y * (z / x)) \ u) = w. [para(10844(a,1),7353(a,1))]. 10850 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(10844(a,1),7256(a,1,1))]. 10852 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(5694,a,10848,a),flip(a)]. 10854 K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. [para(10852(a,1),7272(a,1))]. 10856 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(255,a,10846,a(flip),b,10850,a(flip))]. 10857 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(255,a,8935,a(flip),b,10856,a(flip)),flip(a)]. 10858 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(255,a,7942,a,b,10857,a(flip))]. 10859 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(255,a,9482,a(flip),b,10858,a)]. 10860 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(21(a,1),10859(a,1,2,1)),flip(a)]. 10861 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(255,a,7649,a(flip),b,10860,a(flip))]. 10862 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(255,a,6580,a(flip),b,10861,a)]. 10864 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(255,a,7250,a(flip),b,10862,a(flip))]. 10868 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(255,a,8660,a,b,10864,a(flip)),flip(a)]. 10872 L(K(x,x \ y),y,z) = K(x,x \ y). [para(18(a,1),10868(a,1,3))]. 10874 a(x,y,K(z,z \ y)) = 1. [hyper(39,a,10872,a)]. 10875 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(255,a,7803,a(flip),b,10872,a(flip)),flip(a)]. 10876 a(x,y,K(z \ y,z)) = 1. [para(5389(a,1),10874(a,1,3))]. 10877 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(38,a,10876,a)]. 10878 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(8699,a,10877,a)]. 10881 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(255,a,8969,a(flip),b,10875,a(flip))]. 10884 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(10878(a,1),8747(a,1,2))]. 10891 R(x,y,K(z \ y,z)) = x. [hyper(757,a,10884,a)]. 10894 R(x,y * z,K(z,y)) = x. [para(18(a,1),10891(a,1,3,1))]. 10896 (x * (y * z)) * K(z,y) = x * (z * y). [para(10894(a,1),464(a,1,1)),flip(a)]. 10911 K(x,L(y,x,z)) = K(x,y). [hyper(7054,a,10896,a)]. 10915 T(x,L(y,x,z)) = x * K(x,y). [para(10911(a,1),5252(a,2,2))]. 10924 T(x,L(y,x,z)) = T(x,y). [hyper(255,a,5252,a,b,10915,a)]. 10927 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(255,a,8065,a(flip),b,10924,a(flip)),flip(a)]. 10928 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(10924(a,1),127(a,1,2))]. 10930 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(448(a,1),10924(a,1,2))]. 10931 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(10924(a,1),7351(a,1,1,2)),flip(a)]. 10935 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(10928(a,1),1426(a,1,2,2))]. 10936 L(x,T(y,x),z) = L(x,y,z). [hyper(255,a,33,a,b,10931,a),flip(a)]. 10938 L(x,y / x,z) = L(x,x \ y,z). [para(129(a,1),10936(a,1,2)),flip(a)]. 10942 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(10938(a,1),7071(a,1,1))]. 10947 K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(4966(a,1),10881(a,1,2,2,1,2))]. 10948 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(10881(a,1),7046(a,1,1)),flip(a)]. 10969 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = K(L(x,y,z),(u * w) \ v5). [hyper(255,a,7046,a(flip),b,10948,a)]. 10972 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(255,a,45,a,b,10930,a(flip)),flip(a)]. 10975 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(9728(a,1),10972(a,1,1))]. 10976 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(10927(a,1),10975(a,1,1)),flip(a)]. 10977 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10976(a,1),5546(a,1,2,1))]. 10979 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(255,a,5673,a(flip),b,10977,a(flip))]. 10981 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(127(a,1),10935(a,1,1,1))]. 10982 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1841,a,10981,a),flip(a)]. 10983 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(127(a,1),10982(a,1,2))]. 10984 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(8674,a,10983,a),flip(a)]. 10986 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(10984(a,1),7046(a,1,1))]. 10987 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(255,a,7046,a(flip),b,10986,a(flip))]. 10988 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(10987(a,1),10467(a,1,1))]. 10989 L(K(x,x * y),y,z) = K(x,x * y). [para(9107(a,1),10988(a,1,1))]. 10993 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(255,a,10457,a(flip),b,10989,a(flip)),flip(a)]. 10995 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(10989(a,2),5394(a,1,2))]. 10999 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(10849,a,10993,a)]. 11001 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(255,a,7701,a(flip),b,10993,a(flip)),flip(a)]. 11003 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(10993(a,1),7046(a,1,1))]. 11009 L(K(x * y,x),y,z) = K(x * y,x). [hyper(6485,a,10995,a)]. 11010 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(255,a,10392,a(flip),b,11009,a(flip)),flip(a)]. 11015 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(10854,a,11010,a)]. 11018 K(x * ((y * x) \ z),x) = K(y \ z,x). [hyper(8684,a,11010,a),flip(a)]. 11019 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(8039,a,11010,a)]. 11022 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(11010(a,1),5991(a,1,1,1,2))]. 11027 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(11015(a,1),5992(a,1,1,1,2))]. 11034 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(255,a,7046,a(flip),b,11003,a(flip))]. 11035 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(9923,a,11034,a)]. 11036 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(255,a,10837,a(flip),b,11035,a(flip))]. 11037 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(255,a,5991,a(flip),b,11022,a(flip))]. 11038 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(255,a,7041,a,b,11037,a(flip)),flip(a)]. 11061 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(6797,a,11027,a),flip(a)]. 11255 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). [hyper(255,a,7628,a(flip),b,7232,a)]. 11256 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(279(a,1),11255(a,2,1,2))]. 11257 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1840(a,1),11256(a,1,2)),flip(a)]. 11258 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(255,a,7051,a(flip),b,11257,a(flip)),flip(a)]. 11259 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(255,a,7032,a(flip),b,11257,a(flip))]. 11463 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(255,a,10979,a(flip),b,10947,a(flip)),flip(a)]. 11464 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(255,a,10969,a(flip),b,11463,a(flip)),flip(a)]. 11465 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(255,a,10999,a(flip),b,11464,a(flip)),flip(a)]. 11466 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(17(a,1),11465(a,1,2,2,1))]. 11467 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(255,a,6042,a(flip),b,11466,a)]. 11468 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(255,a,11061,a(flip),b,11467,a)]. 11469 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(17(a,1),11468(a,2,2,2,1))]. 11546 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). [hyper(255,a,11001,a(flip),b,10789,a(flip))]. 11547 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). [hyper(255,a,11469,a(flip),b,11546,a)]. 11548 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(255,a,11036,a(flip),b,11547,a)]. 11550 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2663(a,1),11548(a,1,2))]. 11551 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(11550(a,1),6670(a,1,1,2)),flip(a)]. 11552 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(255,a,6670,a(flip),b,11551,a)]. 11553 T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11552(a,1),6916(a,1,1,2))]. 11554 T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11038(a,1),11553(a,1,1,2))]. 11555 T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(59(a,1),11554(a,1,1,2,1,2))]. 11556 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5984(a,1),11555(a,1,1))]. 11557 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(255,a,45,a,b,11556,a(flip)),flip(a)]. 11558 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5820(a,1),11557(a,1,1)),flip(a)]. 11559 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4626,a,11558,a)]. 11560 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(11559(a,1),428(a,1,2))]. 11561 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(11559(a,1),7483(a,1,2))]. 11562 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10768(a,1),11561(a,1))]. 11563 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(415,a,11560,a),flip(a)]. 11564 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(317,a,11563,a),flip(a)]. 11570 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). [para(11564(a,1),10234(a,1,2,2)),flip(a)]. 11572 K(x * L(y,z,u),y) = K(y * x,y). [hyper(255,a,7676,a(flip),b,11570,a)]. 11575 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(255,a,11258,a(flip),b,11572,a(flip)),flip(a)]. 11581 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(255,a,5734,a(flip),b,11575,a)]. 11583 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(255,a,11259,a(flip),b,11581,a(flip)),flip(a)]. 11589 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(255,a,11019,a(flip),b,11583,a)]. 11591 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(112(a,1),11589(a,1,1,2))]. 11592 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(8697,a,11591,a)]. 11596 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(255,a,11018,a(flip),b,11592,a)]. 11597 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(255,a,10001,a(flip),b,11596,a(flip)),flip(a)]. 11598 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(33(a,2),11597(a,2,1))]. 11599 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(11562,a,11598,a),flip(a)]. 11600 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(10942,a,11599,a)]. 11601 $F # answer("LKKL"). [resolve(11600,a,57,a)]. ============================== end of proof ========================== % Disable descendants (x means already disabled): 57 given #10391 (H,wt=13): 11600 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(10942,a,11599,a)]. given #10392 (H,wt=13): 11612 K(x,L(y,x,z)) != u | K(x,y) = u. [para(11600(a,1),6587(a,1))]. given #10393 (H,wt=14): 11606 K(x,L(y,K(z,u),u * z)) = K(x,y). [hyper(255,a,11350,a(flip),b,11600,a(flip))]. given #10394 (H,wt=15): 11604 K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). [hyper(255,a,5381,a,b,11600,a),flip(a)]. given #10395 (H,wt=15): 11620 L(K(x,y),z,y * x) != u | K(x,y) = u. [para(10774(a,1),11612(a,1))]. given #10396 (H,wt=15): 11621 K(x,L(y,T(z,u),u)) = K(x,L(y,z,u)). [para(10958(a,1),11606(a,1,2))]. given #10397 (H,wt=16): 11602 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(11599(a,1),10942(a,1))]. given #10398 (H,wt=16): 11622 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(11604(a,1),5384(a,1))]. given #10399 (H,wt=17): 11614 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). [para(11600(a,1),9938(a,1,2))]. given #10400 (H,wt=15): 11628 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [hyper(255,a,9948,a(flip),b,11614,a(flip)),flip(a)]. given #10401 (H,wt=17): 11615 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(11600(a,1),9941(a,1,2))]. given #10402 (H,wt=17): 11616 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(11600(a,1),9943(a,1,1))]. given #10403 (H,wt=17): 11617 K(x,L(y,z,u)) * a(u,z,K(x,y)) = K(x,y). [para(11600(a,1),9953(a,1,1))]. given #10404 (H,wt=17): 11624 K(x,L(y,z / u,u)) = K(x,L(y,u \ z,u)). [para(129(a,1),11621(a,1,2,2)),flip(a)]. given #10405 (H,wt=17): 11630 K(L(x,y,z),u) * a(z,y,K(x,u)) = K(x,u). [para(11614(a,1),5626(a,1,2))]. given #10406 (H,wt=13): 11636 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(9957,a,11630,a)]. given #10407 (H,wt=13): 11637 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(23,a,11617,a,b,11630,a)]. given #10408 (H,wt=16): 11645 K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. [para(11637(a,2),11602(a,1))]. given #10409 (H,wt=17): 11633 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [hyper(6674,a,11615,a)]. given #10410 (H,wt=15): 11647 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(255,a,9949,a(flip),b,11633,a(flip)),flip(a)]. given #10411 (H,wt=18): 11605 K((x \ 1) \ (x \ y),L(z,y / x,x)) = K(y,z). [hyper(255,a,11501,a(flip),b,11600,a(flip))]. given #10412 (H,wt=18): 11609 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(11600(a,1),112(a,1,2))]. given #10413 (H,wt=18): 11619 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(7440(a,1),11612(a,1))]. given #10414 (H,wt=16): 11652 K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. [para(9093(a,1),11619(a,1))]. given #10415 (H,wt=18): 11623 K(1 / x,(1 / x) \ 1) != y | K(x \ 1,x) = y. [para(2797(a,1),11620(a,1))]. given #10416 (H,wt=18): 11640 (x * (y * K(z,u))) \ (x * y) = K(L(u,y,x),z). [hyper(255,a,7081,a,b,11636,a(flip)),flip(a)]. given #10417 (H,wt=16): 11654 K(L(x,y,L(z,u,w)),z) != v5 | K(x,z) = v5. [para(11640(a,1),9013(a,1))]. given #10418 (H,wt=18): 11641 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(437(a,1),11637(a,1,1)),flip(a)]. given #10419 (H,wt=19): 11631 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(11614(a,1),5545(a,1,2)),flip(a)]. given #10420 (H,wt=19): 11632 a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). [para(8138(a,2),11628(a,1,3))]. given #10421 (H,wt=19): 11642 (x / y) * K(z,L(y,u,w)) = x / T(y,L(z,u,w)). [para(11637(a,1),6718(a,1,2))]. given #10422 (H,wt=19): 11644 K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). [para(11637(a,1),9956(a,1,1))]. given #10423 (H,wt=15): 11658 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(23,a,11616,a,b,11644,a),flip(a)]. given #10424 (H,wt=17): 11659 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(19(a,1),11658(a,1,2,2))]. given #10425 (H,wt=19): 11651 K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. [para(7440(a,2),11619(a,1))]. given #10426 (H,wt=19): 11656 K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). [para(437(a,1),11641(a,1,2))]. given #10427 (H,wt=19): 11661 K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). [para(19(a,1),11656(a,1,2)),flip(a)]. given #10428 (H,wt=19): 11662 K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). [para(19(a,1),11661(a,1,1)),flip(a)]. given #10429 (H,wt=18): 11663 K(x,(y \ 1) \ (y \ L(z,x / y,y))) = K(x,z). [hyper(255,a,11605,a(flip),b,11662,a(flip))]. given #10430 (H,wt=18): 11664 K(x,L((y \ 1) \ (y \ z),x / y,y)) = K(x,z). [para(1871(a,2),11663(a,1,2))]. given #10431 (H,wt=18): 11665 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K(x,z). [hyper(255,a,11624,a(flip),b,11664,a(flip)),flip(a)]. given #10432 (H,wt=20): 11603 K(x,(y * ((y \ z) / u)) \ z) = K(x,L(u,y \ z,y)). [hyper(7306,a,11600,a)]. given #10433 (H,wt=20): 11607 K(x \ y,L(z,y,y \ 1)) = K(((y \ 1) * x) \ 1,z). [hyper(255,a,7031,a(flip),b,11600,a(flip))]. given #10434 (H,wt=20): 11627 K(x,K(y,L(z,u,w))) != v5 | K(x,L(K(y,z),u,w)) = v5. [para(8844(a,1),11622(a,1))]. given #10435 (H,wt=20): 11629 a(x,y,K(z,u)) != w * K(z,u) | K(u,L(z,y,x)) = w. [para(11614(a,1),2080(a,1))]. given #10436 (H,wt=20): 11634 K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. [para(11615(a,1),6675(a,1,1)),flip(b)]. given #10437 (H,wt=18): 11669 a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. [para(9949(a,1),11634(a,1))]. given #10438 (H,wt=20): 11635 x * a(y,z,K(u,w)) != K(u,w) | K(u,L(w,z,y)) = x. [para(11617(a,1),25(a,1)),flip(a)]. given #10439 (H,wt=20): 11638 K(x,L(y,z,u)) * K(y,x) != w | a(u,z,K(y,x)) = w. [para(11630(a,1),5612(a,1,2)),flip(b)]. given #10440 (H,wt=20): 11646 K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. [para(8138(a,2),11645(a,1))]. given #10441 (H,wt=20): 11655 L(K(x,y),T(y,z) * u,w) != v5 | K(x,L(y,u,w)) = v5. [para(10917(a,2),11654(a,1))]. given #10442 (H,wt=20): 11670 K(x,L(y,K(y,z) * u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(9099(a,1),11655(a,1))]. given #10443 (H,wt=20): 11671 K(L(x,y,z) \ 1,x) != u | K(x \ 1,L(x,w,v5)) = u. [para(6313(a,2),11670(a,1))]. given #10444 (H,wt=21): 11618 ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). [para(11600(a,1),9947(a,1,2))]. given #10445 (H,wt=19): 11672 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [hyper(255,a,11642,a(flip),b,11618,a(flip)),flip(a)]. given #10446 (H,wt=21): 11649 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(11647(a,1),10089(a,2,2))]. given #10447 (H,wt=21): 11650 x * (y * K(x * y,z)) != u | T(x * y,L(z,y,x)) = u. [para(11609(a,1),5255(a,1))]. given #10448 (H,wt=22): 11639 T(x,L(y,z,u)) * K(y,x) != w | x * a(u,z,K(y,x)) = w. [para(11630(a,1),5678(a,1,2))]. given #10449 (H,wt=22): 11643 (x / y) * K(z,L(y,u,w)) != v5 | x / T(y,L(z,u,w)) = v5. [para(11637(a,1),6795(a,1,2))]. given #10450 (H,wt=22): 11668 K(x,1 / L(K(y,z),u,w)) != v5 | K(x,L(K(y,z),u,w)) = v5. [para(8948(a,2),11627(a,1))]. given #10451 (H,wt=23): 11626 K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. [para(7006(a,2),11622(a,1))]. given #10452 (H,wt=23): 11648 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). [para(8859(a,1),11633(a,1,2))]. given #10453 (H,wt=24): 11613 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [para(11600(a,1),8824(a,1,2))]. given #10454 (H,wt=24): 11666 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(255,a,9791,a(flip),b,11603,a(flip))]. given #10455 (H,wt=24): 11676 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(6488(a,1),11613(a,1,1))]. given #10456 (H,wt=24): 11677 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(255,a,11058,a(flip),b,11666,a(flip)),flip(a)]. given #10457 (H,wt=24): 11678 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(255,a,7078,a(flip),b,11676,a)]. given #10458 (H,wt=24): 11679 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [para(11678(a,1),8198(a,1,1))]. given #10459 (H,wt=25): 11566 (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(11563(a,1),10631(a,1,1,2))]. given #10460 (H,wt=20): 11680 L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). [hyper(255,a,10076,a(flip),b,11566,a(flip)),flip(a)]. given #10461 (H,wt=22): 11683 a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). [para(21(a,1),11680(a,1,2)),flip(a)]. given #10462 (H,wt=25): 11584 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(11581(a,1),9881(a,1,1,2))]. given #10463 (H,wt=21): 11684 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(6129(a,1),11584(a,1,1,2)),flip(a)]. given #10464 (H,wt=19): 11685 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(255,a,6663,a(flip),b,11684,a)]. given #10465 (H,wt=19): 11686 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1419(a,1),11685(a,1,1))]. given #10466 (H,wt=23): 11687 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(11686(a,1),10119(a,2,2))]. given #10467 (H,wt=23): 11688 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(255,a,6712,a(flip),b,11687,a)]. given #10468 (H,wt=25): 11610 (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). [para(11600(a,1),420(a,1,2,2))]. given #10469 (H,wt=26): 11675 a(x,y,K(z,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. [para(11648(a,1),6111(a,1))]. given #10470 (H,wt=28): 11653 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(10948(a,2),11619(a,1))]. given #10471 (H,wt=29): 11571 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). [para(11417(a,1),11567(a,1,1,2))]. given #10472 (H,wt=26): 11689 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5986(a,1),11571(a,1,1))]. given #10473 (H,wt=26): 11690 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5894(a,1),11689(a,1,1,1,2))]. given #10474 (H,wt=26): 11691 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(255,a,47,a,b,11690,a(flip)),flip(a)]. given #10475 (H,wt=21): 11692 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5820(a,1),11691(a,1,1)),flip(a)]. given #10476 (H,wt=18): 11693 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(255,a,11564,a(flip),b,11692,a(flip)),flip(a)]. given #10477 (H,wt=23): 11695 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(11693(a,1),461(a,1,1)),flip(a)]. given #10478 (H,wt=20): 11696 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(255,a,122,a(flip),b,11695,a)]. given #10479 (H,wt=26): 11697 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10543(a,1),11696(a,1,1,1)),flip(a)]. given #10480 (H,wt=29): 11611 K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11600(a,1),1434(a,1,2,1))]. given #10481 (H,wt=29): 11657 a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). [para(11082(a,1),11632(a,1,3))]. given #10482 (H,wt=29): 11698 K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(5600(a,1),11611(a,1,2))]. given #10483 (H,wt=29): 11699 K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11637(a,1),11698(a,1,2,1))]. given #10484 (H,wt=27): 11700 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(5272(a,1),11699(a,1,2))]. given #10485 (H,wt=25): 11701 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(11631(a,1),11700(a,1,2)),flip(a)]. given #10486 (H,wt=30): 11660 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(10941(a,1),11659(a,2,2))]. given #10487 (H,wt=30): 11674 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(11649(a,1),9722(a,2,2))]. given #10488 (H,wt=28): 11703 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(11688(a,1),11674(a,1,2))]. given #10489 (H,wt=23): 11704 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(255,a,7844,a(flip),b,11703,a(flip))]. given #10490 (H,wt=23): 11705 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [para(11637(a,1),11704(a,2,1))]. given #10491 (H,wt=19): 11706 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(255,a,11616,a(flip),b,11705,a)]. given #10492 (H,wt=15): 11707 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(222,a,11706,a),flip(a)]. given #10493 (H,wt=15): 11709 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(18(a,1),11707(a,1,3,1)),flip(a)]. given #10494 (H,wt=15): 11710 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(5375(a,1),11707(a,1,3)),flip(a)]. given #10495 (H,wt=10): 11714 a(x,y,K(x * z,z)) = 1. [hyper(255,a,7426,a(flip),b,11710,a)]. given #10496 (H,wt=14): 11716 L(K(x * y,y),z,x) = K(x * y,y). [hyper(38,a,11714,a)]. given #10497 (H,wt=17): 11711 a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). [para(5377(a,1),11707(a,1,3)),flip(a)]. given #10498 (H,wt=17): 11712 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). [para(6009(a,1),11707(a,1,3))]. given #10499 (H,wt=23): 11713 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(11709(a,2),10207(a,1,1))]. given #10500 (H,wt=15): 11718 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(10209,a,11713,a)]. given #10501 (H,wt=15): 11719 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(19(a,1),11718(a,1,3,2)),flip(a)]. given #10502 (H,wt=15): 11720 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [hyper(255,a,11711,a,b,11719,a(flip)),flip(a)]. given #10503 (H,wt=15): 11721 a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). [para(5584(a,1),11720(a,1,3)),flip(a)]. given #10504 (H,wt=15): 11722 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(255,a,11712,a,b,11721,a(flip)),flip(a)]. given #10505 (H,wt=17): 11723 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(6707(a,1),11722(a,1,3))]. given #10506 (H,wt=23): 11717 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(11716(a,1),7561(a,2,1))]. given #10507 (H,wt=21): 11724 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(8654(a,1),11717(a,1,2,2))]. given #10508 (H,wt=19): 11725 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [para(7559(a,1),11724(a,1,2)),flip(a)]. given #10509 (H,wt=22): 11726 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(255,a,9810,a(flip),b,11725,a(flip))]. given #10510 (H,wt=17): 11727 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(9808(a,1),11726(a,1,2)),flip(a)]. given #10511 (H,wt=17): 11728 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(310,a,11727,a),flip(a)]. given #10512 (H,wt=30): 11694 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(11692(a,1),11590(a,1,2))]. given #10513 (H,wt=30): 11702 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [hyper(255,a,11055,a(flip),b,11660,a(flip))]. given #10514 (H,wt=27): 11729 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [hyper(255,a,11594,a(flip),b,11702,a)]. given #10515 (H,wt=24): 11730 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [hyper(11626,a,11729,a)]. given #10516 (H,wt=24): 11731 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [hyper(255,a,11055,a(flip),b,11730,a(flip)),flip(a)]. given #10517 (H,wt=19): 11732 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [hyper(255,a,11677,a(flip),b,11731,a(flip)),flip(a)]. given #10518 (H,wt=17): 11733 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(37(a,2),11732(a,2,1,2))]. given #10519 (H,wt=17): 11734 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(255,a,11016,a(flip),b,11733,a(flip)),flip(a)]. given #10520 (H,wt=21): 11735 K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). [para(11734(a,1),5605(a,1,2,1)),flip(a)]. given #10521 (H,wt=17): 11737 K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). [hyper(255,a,5605,a(flip),b,11735,a)]. given #10522 (H,wt=31): 11715 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). [para(11710(a,1),11701(a,2,2,2))]. given #10523 (H,wt=29): 11738 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(255,a,5554,a(flip),b,11715,a)]. given #10524 (H,wt=32): 11667 K(x,(y \ 1) \ (y \ L(z,y \ x,(y \ x) \ 1))) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(255,a,11662,a(flip),b,11607,a(flip)),flip(a)]. given #10525 (H,wt=32): 11739 K(x,L((y \ 1) \ (y \ z),y \ x,(y \ x) \ 1)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [para(1871(a,2),11667(a,1,2))]. given #10526 (H,wt=37): 11736 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11734(a,1),11231(a,1,1,2,2))]. given #10527 (H,wt=35): 11740 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11737(a,1),11736(a,1,2,1,1))]. given #10528 (H,wt=21): 11741 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(255,a,11231,a(flip),b,11740,a(flip))]. given #10529 (H,wt=38): 4562 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R((T(x,y) / (x * y)) \ 1,z,u). [para(4543(a,1),1878(a,1,1)),flip(a)]. given #10530 (H,wt=37): 11742 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R(R(1 / y,y,x) \ 1,z,u). [para(4543(a,1),4562(a,2,2,1,1))]. given #10531 (H,wt=34): 11743 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R((1 / y) * R((1 / y) \ 1,z,u),y,x). [hyper(255,a,3802,a(flip),b,11742,a)]. given #10532 (H,wt=28): 11744 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(1172(a,1),11743(a,2,1))]. given #10533 (H,wt=24): 11745 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(4449(a,1),11744(a,1,1,2,1))]. given #10534 (H,wt=22): 11746 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(4469(a,1),11745(a,1,1))]. given #10535 (H,wt=20): 11747 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(7477(a,1),11746(a,1,1)),flip(a)]. given #10536 (H,wt=20): 11748 R(x \ R(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). [para(4036(a,1),11747(a,1,1))]. given #10537 (H,wt=18): 11749 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(9153(a,1),11748(a,1,1)),flip(a)]. given #10538 (H,wt=12): 11750 R(a(x,y,x),x,z) = a(x,y,x). [hyper(10068,a,11749,a),flip(a)]. given #10539 (H,wt=36): 11752 ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(255,a,458,a,b,11750,a(flip)),flip(a)]. given #10540 (H,wt=31): 11753 (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(9161(a,1),11752(a,1,1,1))]. given #10541 (H,wt=28): 11754 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(461(a,1),11753(a,1,1))]. given #10542 (H,wt=25): 11755 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(11696(a,1),11754(a,1,1))]. given #10543 (H,wt=23): 11756 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(11755(a,1),10083(a,1))]. given #10544 (H,wt=38): 5650 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). [para(5402(a,1),3489(a,2,2,2))]. given #10545 (H,wt=29): 11757 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). [para(5911(a,1),5650(a,1,1,2,1)),flip(a)]. given #10546 (H,wt=27): 11758 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). [para(5381(a,1),11757(a,2,1,2))]. given #10547 (H,wt=19): 11760 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). [para(6672(a,1),11758(a,2,1))]. given #10548 (H,wt=19): 11761 T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). [hyper(96,a,11760,a)]. given #10549 (H,wt=33): 11762 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). [para(11761(a,1),3407(a,1,1,1)),flip(a)]. given #10550 (H,wt=29): 11763 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(6343(a,1),11762(a,2,1))]. given #10551 (H,wt=29): 11764 T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(6125(a,1),11763(a,1,2,2))]. given #10552 (H,wt=25): 11765 T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(8492(a,1),11764(a,1,2))]. given #10553 (H,wt=23): 11766 ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). [para(8523(a,1),11765(a,1,2)),flip(a)]. given #10554 (H,wt=21): 11767 ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). [hyper(255,a,8633,a(flip),b,11766,a)]. given #10555 (H,wt=38): 6438 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = ((((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z)) * (x \ 1)) * z. [para(6437(a,2),1882(a,2,2,1)),flip(a)]. given #10556 (H,wt=26): 11771 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (K(y,x) * (x \ 1)) * z. [para(6540(a,1),6438(a,2,1,1))]. given #10557 (H,wt=24): 11772 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (T(x,y) \ 1) * z. [para(5209(a,1),11771(a,2,1))]. given #10558 (H,wt=22): 11774 (x \ 1) * (R(K(y,x),x \ 1,z) * z) = (T(x,y) \ 1) * z. [para(6437(a,1),11772(a,1,2,1))]. given #10559 (H,wt=17): 11775 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(10531(a,1),11774(a,1,2,1))]. given #10560 (H,wt=18): 11776 T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). [para(11775(a,1),6543(a,1,2))]. given #10561 (H,wt=15): 11778 L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). [hyper(255,a,4739,a(flip),b,11776,a(flip)),flip(a)]. given #10562 (H,wt=21): 11780 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). [hyper(255,a,4806,a(flip),b,11778,a(flip)),flip(a)]. given #10563 (H,wt=24): 11784 K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [para(11780(a,1),11067(a,1,2,1))]. given #10564 (H,wt=23): 11785 K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(255,a,6605,a(flip),b,11784,a(flip))]. given #10565 (H,wt=21): 11787 K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(255,a,11487,a(flip),b,11785,a(flip)),flip(a)]. given #10566 (H,wt=19): 11788 K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). [hyper(255,a,11446,a(flip),b,11787,a(flip))]. given #10567 (H,wt=20): 11789 K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). [hyper(255,a,7073,a(flip),b,11788,a(flip))]. given #10568 (H,wt=17): 11790 L(K(x,y),z,z \ 1) = L(K(x,y),z,z \ x). [hyper(9588,a,11789,a),flip(a)]. given #10569 (H,wt=17): 11791 L(K(x,y),z,z \ x) = K(x,L(y,z,z \ 1)). [hyper(11622,a,11790,a),flip(a)]. given #10570 (H,wt=17): 11792 K(x,L(y,z,z \ 1)) = K(x,L(y,z,z \ x)). [hyper(11622,a,11791,a),flip(a)]. given #10571 (H,wt=21): 11793 K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)). [para(11368(a,1),11792(a,2,2))]. given #10572 (H,wt=28): 11794 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(255,a,11739,a(flip),b,11793,a(flip))]. given #10573 (H,wt=17): 11795 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [hyper(255,a,11665,a(flip),b,11794,a(flip))]. given #10574 (H,wt=15): 11797 (1 / (x \ y)) * (x \ T(y,z)) = K(y,z). [hyper(255,a,6442,a(flip),b,11795,a(flip)),flip(a)]. given #10575 (H,wt=17): 11798 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [hyper(255,a,5768,a(flip),b,11795,a(flip)),flip(a)]. given #10576 (H,wt=15): 11801 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(11798(a,1),7361(a,2,1))]. given #10577 (H,wt=15): 11802 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(255,a,5190,a(flip),b,11801,a)]. given #10578 (H,wt=18): 11800 K(x,y) != (1 / (z \ x)) * u | z \ T(x,y) = u. [para(11797(a,1),24(a,1))]. given #10579 (H,wt=33): 11804 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(10485(a,1),11802(a,2,2))]. given #10580 (H,wt=37): 11805 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(7058(a,1),11804(a,1,1))]. given #10581 (H,wt=38): 7352 (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(7259(a,1),4020(a,2,1)),flip(a)]. given #10582 (H,wt=36): 11806 (L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4861(a,1),7352(a,1,2))]. given #10583 (H,wt=32): 11807 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(5141(a,1),11806(a,1,2))]. given #10584 (H,wt=14): 11808 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(255,a,11254,a(flip),b,11807,a(flip))]. given #10585 (H,wt=13): 11810 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(162(a,1),11808(a,1,2,2,1))]. given #10586 (H,wt=19): 11811 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(11810(a,1),4311(a,1,2))]. given #10587 (H,wt=27): 11812 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(11811(a,1),8093(a,2,1))]. given #10588 (H,wt=38): 8732 T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)). [para(7465(a,1),1061(a,1,1,2))]. given #10589 (H,wt=33): 11813 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(L(T(x,K(z,u)),K(z,u),K(y,z)),K(y,z)). [para(179(a,1),8732(a,1,1)),flip(a)]. given #10590 (H,wt=26): 11814 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)). [para(10278(a,1),11813(a,2,1))]. given #10591 (H,wt=26): 11815 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)). [hyper(255,a,8193,a,b,11814,a)]. given #10592 (H,wt=19): 11817 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [hyper(255,a,9127,a(flip),b,11815,a(flip))]. given #10593 (H,wt=19): 11818 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [hyper(8205,a,11817,a)]. given #10594 (H,wt=19): 11820 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [para(2075(a,2),11817(a,2,2))]. given #10595 (H,wt=19): 11822 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(2075(a,2),11818(a,2,2))]. given #10596 (H,wt=19): 11823 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(5829,a,11820,a)]. given #10597 (H,wt=19): 11829 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(255,a,11820,a(flip),b,11823,a(flip))]. given #10598 (H,wt=21): 11824 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(255,a,11482,a,b,11820,a(flip)),flip(a)]. given #10599 (H,wt=21): 11830 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(5353,a,11829,a)]. given #10600 (H,wt=19): 11833 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(22,a,11824,a,b,11830,a),flip(a)]. given #10601 (H,wt=19): 11835 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(2075(a,2),11833(a,1,1))]. given #10602 (H,wt=19): 11836 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(2075(a,1),11835(a,2,2))]. given #10603 (H,wt=21): 11832 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2075(a,2),11824(a,1,2,1))]. given #10604 (H,wt=19): 11838 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(22,a,5252,a(flip),b,11832,a)]. given #10605 (H,wt=19): 11839 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(255,a,11836,a(flip),b,11838,a(flip))]. given #10606 (H,wt=22): 11834 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(11830(a,1),5255(a,1))]. given #10607 (H,wt=22): 11841 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(11820(a,2),11834(a,1))]. given #10608 (H,wt=22): 11842 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,z) * K(u,y)) = w. [para(11823(a,2),11834(a,1))]. given #10609 (H,wt=23): 11821 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(11817(a,1),9909(a,1,1))]. given #10610 (H,wt=21): 11843 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(5281,a,11821,a),flip(a)]. given #10611 (H,wt=21): 11845 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(255,a,11833,a(flip),b,11843,a)]. given #10612 (H,wt=21): 11847 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(255,a,11838,a,b,11845,a)]. given #10613 (H,wt=21): 11850 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)). [para(8154(a,1),11845(a,1,1))]. given #10614 (H,wt=21): 11852 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)). [hyper(255,a,11839,a(flip),b,11850,a)]. given #10615 (H,wt=23): 11826 T(K(x,y) * z,K(x,u) * K(y,x)) = T(z * K(x,y),K(x,u)). [hyper(255,a,6870,a(flip),b,11820,a(flip))]. given #10616 (H,wt=24): 11831 T(x,K(y,z) * K(u,y)) != x * w | K(K(u,y) * K(y,z),x) = w. [para(11824(a,1),24(a,1))]. given #10617 (H,wt=24): 11844 K(x,K(y,z)) * K(x,K(y,u)) != w | K(K(z,y) * K(y,u),x) = w. [para(11821(a,1),5281(a,1))]. given #10618 (H,wt=25): 11825 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(255,a,9630,a,b,11820,a(flip)),flip(a)]. given #10619 (H,wt=25): 11828 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(11822(a,1),10331(a,2,1))]. given #10620 (H,wt=23): 11855 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(255,a,5177,a,b,11828,a)]. given #10621 (H,wt=23): 11856 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5600(a,1),11855(a,1,2))]. given #10622 (H,wt=25): 11848 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(255,a,11132,a,b,11845,a(flip))]. given #10623 (H,wt=16): 11857 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(255,a,11109,a(flip),b,11848,a)]. given #10624 (H,wt=16): 11858 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [para(2075(a,1),11857(a,1,2))]. given #10625 (H,wt=16): 11859 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(18(a,1),11858(a,1,2,2,2,3))]. given #10626 (H,wt=25): 11854 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(255,a,11818,a(flip),b,11825,a(flip))]. given #10627 (H,wt=25): 11860 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(11834,a,11854,a)]. given #10628 (H,wt=27): 11827 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). [para(9490(a,1),11822(a,1,1,2)),flip(a)]. given #10629 (H,wt=27): 11840 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(11838(a,1),5252(a,2,2)),flip(a)]. given #10630 (H,wt=21): 11863 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(5448,a,11840,a)]. given #10631 (H,wt=21): 11864 (x * (K(y,z) * K(z,u))) / x = T(K(z,u) * K(y,z),x). [para(2075(a,1),11863(a,1,1,2))]. given #10632 (H,wt=21): 11865 T(K(x,y) * K(z,x),u) * u = u * (K(z,x) * K(x,y)). [para(11864(a,1),21(a,1,1))]. given #10633 (H,wt=24): 11866 T(K(x,y) * K(z,x),u) * u != w | u * (K(z,x) * K(x,y)) = w. [para(11864(a,1),226(a,1,1)),flip(b)]. given #10634 (H,wt=27): 11861 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(255,a,5252,a(flip),b,11860,a),flip(a)]. given #10635 (H,wt=25): 11867 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(22,a,5252,a(flip),b,11861,a),flip(a)]. given #10636 (H,wt=27): 11862 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). [para(9629(a,1),11827(a,2,1))]. given #10637 (H,wt=27): 11868 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(255,a,11823,a(flip),b,11862,a)]. given #10638 (H,wt=25): 11869 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(9490(a,1),11868(a,1,2,2))]. given #10639 (H,wt=25): 11870 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(255,a,11829,a,b,11869,a),flip(a)]. given #10640 (H,wt=29): 11837 K(K(x,y) * K(z,x),u) / (K(y,x) * K(x,z)) = 1 / T(K(y,x) * K(x,z),u). [hyper(81,a,11836,a,b,5183,a(flip))]. given #10641 (H,wt=29): 11849 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [hyper(255,a,10117,a,b,11845,a(flip)),flip(a)]. given #10642 (H,wt=29): 11851 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(8428(a,1),11845(a,1,1))]. given #10643 (H,wt=25): 11873 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8428(a,1),11851(a,1,2)),flip(a)]. given #10644 (H,wt=24): 11874 K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. [para(11873(a,1),8008(a,1))]. given #10645 (H,wt=22): 11876 K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. [para(11843(a,1),11874(a,1))]. given #10646 (H,wt=22): 11877 K(K(x,y) * K(z,x),u) != w | K(u,K(x,y) * K(z,x)) = w. [para(11847(a,1),11874(a,1))]. given #10647 (H,wt=26): 11878 K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w. [para(11856(a,2),11877(a,1))]. given #10648 (H,wt=29): 11853 x / T((K(y,z) * x) * K(z,u),K(z,y)) = ((1 * (K(z,u) * K(y,z))) * x) \ x. [para(11826(a,1),11267(a,1,2))]. given #10649 (H,wt=29): 11871 K(K(x,y) * K(z,x),u) * (K(z,x) * K(x,y)) = 1 / T(K(y,x) * K(x,z),u). [hyper(255,a,9214,a(flip),b,11837,a(flip)),flip(a)]. given #10650 (H,wt=29): 11872 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). [para(8134(a,1),11849(a,1,2,2,2))]. given #10651 (H,wt=21): 11881 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(5869,a,11872,a)]. given #10652 (H,wt=21): 11882 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(8134(a,1),11881(a,1,1))]. given #10653 (H,wt=29): 11879 x / T(K(y,z) * (x * K(z,u)),K(z,y)) = ((1 * (K(z,u) * K(y,z))) * x) \ x. [para(7465(a,1),11853(a,1,2,1))]. given #10654 (H,wt=25): 11883 ((1 * (K(x,y) * K(z,x))) * u) \ u = u / ((u * K(x,y)) * K(z,x)). [para(8197(a,1),11879(a,1,2)),flip(a)]. given #10655 (H,wt=25): 11884 ((1 * (K(x,y) * K(z,x))) * u) \ u = u / (u * (K(z,x) * K(x,y))). [para(9128(a,1),11883(a,2,2))]. given #10656 (H,wt=23): 11885 x / (x * (K(y,z) * K(z,u))) = ((K(z,u) * K(y,z)) * x) \ x. [para(16(a,1),11884(a,1,1,1)),flip(a)]. given #10657 (H,wt=23): 11886 x / (x * (K(y,z) * K(z,u))) = (K(z,u) * (K(y,z) * x)) \ x. [para(10270(a,1),11885(a,2,1))]. given #10658 (H,wt=29): 11880 K(K(x,y),K(y,z)) * T(K(y,z) * K(x,y),u) = 1 / T(K(z,y) * K(y,x),u). [hyper(255,a,6958,a(flip),b,11871,a(flip)),flip(a)]. given #10659 (H,wt=23): 11887 1 / T(K(x,y) * K(y,z),u) = 1 * T(K(y,x) * K(z,y),u). [para(2073(a,1),11880(a,1,1)),flip(a)]. given #10660 (H,wt=21): 11888 1 / T(K(x,y) * K(y,z),u) = T(K(y,x) * K(z,y),u). [hyper(255,a,16,a(flip),b,11887,a)]. given #10661 (H,wt=21): 11890 T(K(x,y) * K(z,x),u) \ 1 = T(K(y,x) * K(x,z),u). [para(11888(a,1),73(a,1,1))]. given #10662 (H,wt=32): 11846 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). [para(6375(a,1),11843(a,1,2,2)),flip(a)]. given #10663 (H,wt=32): 11891 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))). [para(9317(a,1),11846(a,2,2))]. given #10664 (H,wt=30): 11892 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(255,a,11843,a(flip),b,11891,a)]. given #10665 (H,wt=25): 11893 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(6375(a,1),11892(a,1,1,2))]. given #10666 (H,wt=38): 8867 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(255,a,3526,a,b,8520,a)]. given #10667 (H,wt=38): 9614 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(9613(a,1),7632(a,1,1,2,1))]. given #10668 (H,wt=36): 11894 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(11073(a,1),9614(a,1,1,2))]. given #10669 (H,wt=36): 11895 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(8096(a,1),11894(a,1,1))]. given #10670 (H,wt=36): 11896 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(47(a,2),11895(a,1,2))]. given #10671 (H,wt=34): 11897 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(204(a,1),11896(a,1,2,1))]. given #10672 (H,wt=34): 11898 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(255,a,9617,a(flip),b,11897,a(flip)),flip(a)]. given #10673 (H,wt=31): 11899 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(255,a,10285,a(flip),b,11898,a(flip)),flip(a)]. given #10674 (H,wt=29): 11901 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(255,a,9817,a(flip),b,11899,a(flip))]. given #10675 (H,wt=29): 11902 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(7743(a,1),11901(a,2,2))]. given #10676 (H,wt=27): 11903 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(255,a,4644,a(flip),b,11902,a)]. given #10677 (H,wt=25): 11904 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(9613(a,1),11903(a,1,1,1))]. given #10678 (H,wt=23): 11905 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(11073(a,1),11904(a,1,1)),flip(a)]. given #10679 (H,wt=24): 11906 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(11905(a,1),5593(a,1))]. given #10680 (H,wt=38): 9742 L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). [para(9739(a,1),3818(a,1,1))]. given #10681 (H,wt=36): 11907 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). [para(9739(a,1),9742(a,1,2,1,1)),flip(a)]. given #10682 (H,wt=33): 11908 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w). [hyper(255,a,3818,a(flip),b,11907,a)]. given #10683 (H,wt=27): 11910 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1150(a,1),11908(a,2,1))]. given #10684 (H,wt=21): 11911 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1150(a,1),11910(a,1,1))]. given #10685 (H,wt=34): 11912 a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)). [para(11911(a,1),11615(a,1,2,2))]. given #10686 (H,wt=38): 11503 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). [para(5428(a,1),11502(a,1,2)),flip(a)]. given #10687 (H,wt=34): 11913 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(18(a,1),11503(a,2,1,1))]. given #10688 (H,wt=30): 11914 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(255,a,9757,a(flip),b,11913,a)]. given #10689 (H,wt=26): 11916 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(18(a,1),11914(a,1,1,1))]. given #10690 (H,wt=22): 11917 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(18(a,1),11916(a,1,2,2))]. given #10691 (H,wt=25): 11918 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(6475(a,1),11917(a,1,2,1,3))]. given #10692 (H,wt=38): 11673 (x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(4669(a,1),11672(a,1,1))]. given #10693 (H,wt=39): 7377 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). [para(7376(a,1),2168(a,1,1)),flip(a)]. given #10694 (H,wt=32): 11919 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(7376(a,1),7377(a,2,2,1,1))]. given #10695 (H,wt=28): 11920 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(73(a,1),11919(a,2,2,1))]. given #10696 (H,wt=26): 11922 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(255,a,4034,a(flip),b,11920,a)]. given #10697 (H,wt=22): 11923 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(73(a,1),11922(a,1,1,2,1))]. given #10698 (H,wt=20): 11924 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(4034(a,1),11923(a,1,1))]. given #10699 (H,wt=17): 11925 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(6861,a,11924,a)]. given #10700 (H,wt=33): 11926 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(11925(a,1),11520(a,1,1,1))]. given #10701 (H,wt=32): 11927 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(255,a,704,a(flip),b,11926,a(flip)),flip(a)]. given #10702 (H,wt=29): 11928 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(122(a,1),11927(a,1,1,2))]. given #10703 (H,wt=22): 11929 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(29(a,2),11928(a,1,1)),flip(a)]. given #10704 (H,wt=20): 11930 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(255,a,10628,a(flip),b,11929,a),flip(a)]. given #10705 (H,wt=13): 11931 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(29(a,2),11930(a,2,1,1)),flip(a)]. given #10706 (H,wt=39): 9556 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(K(y,x),w) * (K(y,x) * T(z * K(x,y),u)). [para(8384(a,1),8095(a,1,2)),flip(a)]. given #10707 (H,wt=39): 9621 T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). [para(7102(a,1),9620(a,1,2,1,1))]. given #10708 (H,wt=35): 11933 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). [hyper(255,a,7319,a(flip),b,9621,a(flip))]. given #10709 (H,wt=31): 11935 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). [hyper(255,a,3867,a(flip),b,11933,a)]. given #10710 (H,wt=25): 11936 T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). [para(2245(a,1),11935(a,1,2,1)),flip(a)]. given #10711 (H,wt=39): 10179 (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [hyper(80,a,10178,a,b,1776,a)]. given #10712 (H,wt=39): 10306 ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). [para(10145(a,1),10218(a,2,2,2,1,1))]. given #10713 (H,wt=29): 11939 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(255,a,10266,a(flip),b,10306,a(flip)),flip(a)]. given #10714 (H,wt=27): 11940 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(11262,a,11939,a)]. given #10715 (H,wt=27): 11943 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(10244(a,1),11940(a,2,2,2))]. given #10716 (H,wt=23): 11944 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(19(a,1),11943(a,2,2,2,1))]. given #10717 (H,wt=19): 11945 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(18(a,1),11944(a,2,2))]. given #10718 (H,wt=17): 11947 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(255,a,10252,a(flip),b,11945,a)]. given #10719 (H,wt=20): 11949 a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(11947(a,1),4788(a,1))]. given #10720 (H,wt=21): 11948 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(255,a,11263,a(flip),b,11947,a(flip))]. given #10721 (H,wt=39): 11232 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10853(a,1),11231(a,1,1,2,2))]. given #10722 (H,wt=39): 11545 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(x,y) * (K(z,x) * u)) / (1 * (K(x,y) * K(z,x)))). [para(16(a,2),10276(a,2,2,2))]. given #10723 (H,wt=39): 11932 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,K(x,w)) * (K(y,x) * T(z * K(x,y),u)). [para(8100(a,1),9556(a,2,1))]. given #10724 (H,wt=35): 11953 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,T(x,w)) * T(z * K(x,y),u). [hyper(255,a,8736,a(flip),b,11932,a)]. given #10725 (H,wt=39): 11938 (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). [para(5600(a,1),10179(a,1,1,2))]. given #10726 (H,wt=39): 11951 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10844(a,1),11232(a,1,2,1,1))]. given #10727 (H,wt=23): 11955 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(255,a,11231,a(flip),b,11951,a(flip))]. given #10728 (H,wt=23): 11956 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(9486,a,11955,a),flip(a)]. given #10729 (H,wt=19): 11957 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(9340,a,11956,a)]. given #10730 (H,wt=19): 11958 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(8719,a,11957,a),flip(a)]. given #10731 (H,wt=28): 11959 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(11958(a,1),10908(a,1,1))]. given #10732 (H,wt=23): 11960 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(255,a,10907,a(flip),b,11959,a(flip)),flip(a)]. given #10733 (H,wt=23): 11961 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(11338,a,11960,a),flip(a)]. given #10734 (H,wt=22): 11962 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(255,a,7384,a(flip),b,11961,a(flip))]. given #10735 (H,wt=17): 11963 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(35(a,2),11962(a,1,2,1)),flip(a)]. given #10736 (H,wt=17): 11965 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(5584(a,1),11963(a,1,1)),flip(a)]. given #10737 (H,wt=19): 11966 K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). [para(5890(a,1),11963(a,1,1)),flip(a)]. given #10738 (H,wt=19): 11968 K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). [hyper(255,a,5817,a,b,11966,a(flip)),flip(a)]. given #10739 (H,wt=27): 11967 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(11409(a,1),11963(a,1,1))]. given #10740 (H,wt=23): 11970 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(11965(a,1),11967(a,1,1)),flip(a)]. given #10741 (H,wt=29): 11964 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(478(a,1),11963(a,2,2,1))]. given #10742 (H,wt=29): 11971 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(5817(a,1),11964(a,1,1))]. given #10743 (H,wt=39): 11952 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(10280(a,2),11545(a,2,2,1))]. given #10744 (H,wt=39): 11954 ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). [para(7091(a,1),11938(a,1,1))]. given #10745 (H,wt=40): 4421 ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). [para(4417(a,1),1812(a,1,1,2,1))]. given #10746 (H,wt=32): 11973 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(4497(a,1),4421(a,1,1,2)),flip(a)]. given #10747 (H,wt=22): 11974 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(255,a,1803,a(flip),b,11973,a)]. given #10748 (H,wt=18): 11975 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(4417(a,1),11974(a,1,3))]. given #10749 (H,wt=30): 11976 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(11975(a,1),6453(a,1,1,1))]. given #10750 (H,wt=19): 11977 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(11975(a,1),11976(a,1,2))]. given #10751 (H,wt=17): 11978 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(286,a,11977,a)]. given #10752 (H,wt=17): 11979 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(255,a,4953,a(flip),b,11978,a(flip)),flip(a)]. given #10753 (H,wt=19): 11980 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(11979(a,1),169(a,1,2))]. given #10754 (H,wt=40): 4427 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(3046(a,1),4416(a,2,2))]. given #10755 (H,wt=36): 11981 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(73(a,1),4427(a,1,1,2))]. given #10756 (H,wt=36): 11982 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(45(a,2),11981(a,1,1))]. given #10757 (H,wt=35): 11983 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(3053(a,1),11982(a,1,1))]. given #10758 (H,wt=31): 11984 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(73(a,1),11983(a,1,2,2,2))]. given #10759 (H,wt=31): 11985 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(45(a,2),11984(a,1,2,2))]. given #10760 (H,wt=30): 11986 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(3053(a,1),11985(a,1,2,2))]. given #10761 (H,wt=22): 11987 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(18(a,1),11986(a,1,2))]. given #10762 (H,wt=25): 11989 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(11987(a,1),10813(a,1,1)),flip(a)]. given #10763 (H,wt=25): 11990 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [para(11989(a,1),73(a,1,1))]. given #10764 (H,wt=22): 11991 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(255,a,3062,a(flip),b,11990,a(flip)),flip(a)]. given #10765 (H,wt=40): 8961 (K(x,y / z) * K(K(x,z \ y),u)) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(8960(a,1),5324(a,1,1,1))]. given #10766 (H,wt=40): 9138 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u / K(x,y))). [para(9131(a,1),1389(a,1,2,2)),flip(a)]. given #10767 (H,wt=40): 9292 L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(8888(a,1),439(a,1,1,1))]. given #10768 (H,wt=40): 9488 (x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(5057(a,2),9440(a,2,2))]. given #10769 (H,wt=40): 9716 L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). [para(9514(a,1),421(a,1,2))]. given #10770 (H,wt=35): 11995 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))). [para(6740(a,1),9716(a,1,1)),flip(a)]. given #10771 (H,wt=30): 11996 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = K(x,L(y,u,w)) * (x * K(y,z)). [hyper(255,a,5677,a(flip),b,11995,a)]. given #10772 (H,wt=28): 11998 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = T(x,L(y,u,w)) * K(y,z). [hyper(255,a,5272,a(flip),b,11996,a)]. given #10773 (H,wt=23): 11999 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(6740(a,1),11998(a,1,2))]. given #10774 (H,wt=21): 12000 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(255,a,7977,a(flip),b,11999,a(flip)),flip(a)]. given #10775 (H,wt=19): 12002 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(255,a,11631,a(flip),b,12000,a)]. given #10776 (H,wt=17): 12003 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(12002(a,1),5295(a,1,1))]. given #10777 (H,wt=22): 12004 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(12002(a,1),5434(a,1,1))]. given #10778 (H,wt=40): 10752 K(((x \ y) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(7869(a,1),10751(a,1,1,2))]. given #10779 (H,wt=36): 12005 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8288(a,1),10752(a,1,1))]. given #10780 (H,wt=40): 11241 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(11240(a,1),9537(a,1,2,2))]. given #10781 (H,wt=29): 12006 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(255,a,8147,a(flip),b,11241,a(flip))]. given #10782 (H,wt=29): 12007 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(8136,a,12006,a)]. given #10783 (H,wt=27): 12009 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(8915(a,1),12007(a,1,2))]. given #10784 (H,wt=23): 12010 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,9528,a(flip),b,12009,a(flip)),flip(a)]. given #10785 (H,wt=40): 11287 R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(8100(a,1),11285(a,1,1,1,2,1))]. given #10786 (H,wt=40): 11992 (K(x,y / z) * K(x,K(u,z \ y))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(8152(a,1),8961(a,1,1,2))]. given #10787 (H,wt=36): 12012 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / T(K(x,y \ z),u). [para(8379(a,1),11992(a,1,1)),flip(a)]. given #10788 (H,wt=36): 12013 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / K(x,T(y \ z,u)). [para(7539(a,2),12012(a,2,2))]. given #10789 (H,wt=36): 12014 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) * K(y \ z,T(x,u)). [hyper(255,a,7604,a(flip),b,12013,a)]. given #10790 (H,wt=36): 12015 R(K(x,K(y,z)),K(x,z \ y),K(K(x,z \ y),u)) = K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)). [para(8154(a,1),12014(a,1,1))]. given #10791 (H,wt=23): 12016 K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). [hyper(255,a,6642,a(flip),b,12015,a(flip))]. given #10792 (H,wt=40): 11993 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u * K(y,x))). [para(6673(a,1),9138(a,2,2,2))]. given #10793 (H,wt=40): 11994 (x * (y * (K(y,z) * (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(5600(a,1),9488(a,1,1,2,2))]. given #10794 (H,wt=36): 12019 (x * (K(y,z) * u)) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(5550(a,1),11994(a,1,1,2))]. given #10795 (H,wt=32): 12020 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(10597(a,1),12019(a,1,2))]. given #10796 (H,wt=30): 12021 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(9095(a,1),12020(a,1,2))]. given #10797 (H,wt=30): 12023 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(5600(a,1),12021(a,2,2,1,1))]. given #10798 (H,wt=26): 12024 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(8195(a,1),12023(a,2,2,1))]. given #10799 (H,wt=26): 12025 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(7878(a,2),12024(a,2,2))]. given #10800 (H,wt=22): 12026 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(21(a,1),12025(a,2,2,1))]. given #10801 (H,wt=40): 12011 R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(9313(a,1),11287(a,1,1,1,2))]. given #10802 (H,wt=38): 12028 R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). [para(11882(a,1),12011(a,1,1,1))]. given #10803 (H,wt=40): 12018 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ (K(x,y) * (K(z,x) * (u * K(y,x)))). [para(10270(a,1),11993(a,2,2))]. given #10804 (H,wt=36): 12029 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ T(K(z,x) * u,K(x,y)). [para(8745(a,1),12018(a,2,2))]. given #10805 (H,wt=36): 12030 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(K(z,x),u) * K(K(z,x) * u,K(x,y)). [hyper(255,a,7126,a(flip),b,12029,a)]. given #10806 (H,wt=36): 12031 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(K(z,x) * u,K(x,y)). [para(8153(a,1),12030(a,2,1))]. given #10807 (H,wt=32): 12032 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(u,K(x,y)). [para(8426(a,1),12031(a,2,2))]. given #10808 (H,wt=30): 12033 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [hyper(255,a,11852,a(flip),b,12032,a)]. given #10809 (H,wt=30): 12035 K(K(x,y) * K(z,x),R(u * K(y,x),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [para(6673(a,1),12033(a,1,2,1))]. given #10810 (H,wt=23): 12036 K(K(x,y) * K(z,x),u * K(y,x)) = K(u,K(z,x) * K(x,y)). [para(9131(a,1),12035(a,1,2))]. given #10811 (H,wt=29): 12038 (K(x,y) * K(z,x)) \ K(u,K(z,x) * K(x,y)) = K(x,T(z,u)) * K(y,T(x,u)). [para(12036(a,1),11497(a,1,2))]. given #10812 (H,wt=41): 5062 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1780(a,1),5024(a,2,1,1))]. given #10813 (H,wt=41): 9081 K((1 / (T(x,y) \ z)) \ x,T(1 / (T(x,y) \ z),T(T(x,y),z))) = K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)). [para(7868(a,2),9080(a,1,2))]. given #10814 (H,wt=31): 12039 K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)) = K(x * (T(x,y) \ z),T(x,y) / z). [hyper(255,a,11471,a(flip),b,9081,a(flip))]. given #10815 (H,wt=29): 12040 K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)) = K(K(y,x) * z,T(x,y) / z). [para(5225(a,1),12039(a,2,1))]. given #10816 (H,wt=29): 12041 K((1 / (T(x,y) \ z)) \ x,(T(x,y) \ z) \ 1) = K(K(y,x) * z,T(x,y) / z). [hyper(5580,a,12040,a)]. given #10817 (H,wt=27): 12042 K(x * (T(x,y) \ z),(T(x,y) \ z) \ 1) = K(K(y,x) * z,T(x,y) / z). [hyper(255,a,6286,a(flip),b,12041,a(flip)),flip(a)]. given #10818 (H,wt=25): 12043 K(K(x,y) * z,(T(y,x) \ z) \ 1) = K(K(x,y) * z,T(y,x) / z). [para(5225(a,1),12042(a,1,1))]. given #10819 (H,wt=23): 12044 K(K(x,y) * z,T(y,x) / z) = K(K(x,y) * z,z \ T(y,x)). [hyper(6817,a,12043,a),flip(a)]. given #10820 (H,wt=25): 12045 K((T(x,y) / z) \ x,T(x,y) / z) = K(K(y,x) * z,z \ T(x,y)). [hyper(255,a,10946,a,b,12044,a(flip)),flip(a)]. given #10821 (H,wt=27): 12046 K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K(K(y,x) * z,z \ T(x,y)). [hyper(255,a,8887,a,b,12045,a(flip)),flip(a)]. given #10822 (H,wt=41): 9221 (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9219(a,1),2886(a,1,1,2,1))]. given #10823 (H,wt=39): 12047 (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9367(a,1),9221(a,1,1,2))]. given #10824 (H,wt=39): 12048 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9219(a,1),12047(a,1,2,1))]. given #10825 (H,wt=39): 12049 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(4036(a,1),12048(a,1,2,2))]. given #10826 (H,wt=32): 12050 R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(3653(a,1),12049(a,1,2)),flip(a)]. given #10827 (H,wt=32): 12052 R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(9219(a,1),12050(a,1,2,1))]. given #10828 (H,wt=30): 12054 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(9367(a,1),12052(a,1,2)),flip(a)]. given #10829 (H,wt=30): 12055 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(9219(a,1),12054(a,2,3))]. given #10830 (H,wt=17): 12056 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [hyper(255,a,10081,a(flip),b,12055,a)]. given #10831 (H,wt=24): 12058 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(10647(a,2),12056(a,1,1,2))]. given #10832 (H,wt=20): 12059 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(9212,a,12058,a)]. given #10833 (H,wt=20): 12060 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [para(7542(a,1),12059(a,1,2))]. given #10834 (H,wt=22): 12061 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(12060(a,1),6663(a,1,1)),flip(a)]. given #10835 (H,wt=18): 12062 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(255,a,5131,a(flip),b,12061,a)]. given #10836 (H,wt=41): 10435 (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(9756(a,1),10434(a,1,1,2))]. given #10837 (H,wt=31): 12063 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(1450(a,1),10435(a,1,1))]. given #10838 (H,wt=19): 12064 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(255,a,8741,a(flip),b,12063,a)]. given #10839 (H,wt=19): 12066 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [para(12064(a,1),19(a,1,2))]. given #10840 (H,wt=37): 12067 (K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(12066(a,1),11954(a,1,1))]. given #10841 (H,wt=35): 12068 (K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(10178(a,1),12067(a,1,2))]. given #10842 (H,wt=19): 12069 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(962,a,12068,a)]. given #10843 (H,wt=19): 12070 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(255,a,5600,a(flip),b,12069,a)]. given #10844 (H,wt=29): 12071 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). [hyper(255,a,9040,a,b,12070,a(flip)),flip(a)]. given #10845 (H,wt=13): 12072 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3225,a,12071,a),flip(a)]. given #10846 (H,wt=19): 12073 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(9334,a,12072,a),flip(a)]. given #10847 (H,wt=15): 12075 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(9329,a,12073,a),flip(a)]. given #10848 (H,wt=29): 12077 K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). [para(12075(a,1),10588(a,1,1))]. given #10849 (H,wt=27): 12078 T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). [hyper(5565,a,12077,a)]. given #10850 (H,wt=26): 12080 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(12078(a,1),10253(a,1))]. given #10851 (H,wt=27): 12079 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10543(a,1),12077(a,1,2,2))]. given #10852 (H,wt=27): 12081 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10257(a,1),12079(a,1,2))]. given #10853 (H,wt=19): 12082 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5612,a,12081,a)]. given #10854 (H,wt=19): 12083 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(12080,a,12082,a)]. given #10855 (H,wt=19): 12085 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(12083(a,1),10823(a,1,1)),flip(a)]. given #10856 (H,wt=19): 12086 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(12085(a,1),11931(a,1,1))]. given #10857 (H,wt=15): 12088 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(255,a,11931,a(flip),b,12086,a(flip))]. given #10858 (H,wt=40): 12089 (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [hyper(255,a,9513,a,b,12088,a),flip(a)]. given #10859 (H,wt=38): 12090 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(7197(a,1),12089(a,1,1,2))]. given #10860 (H,wt=36): 12091 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(569(a,1),12090(a,1,1))]. given #10861 (H,wt=34): 12092 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(184(a,1),12091(a,1,2)),flip(a)]. given #10862 (H,wt=27): 12093 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). [hyper(255,a,1373,a(flip),b,12092,a)]. given #10863 (H,wt=27): 12094 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(47(a,2),12093(a,2,3))]. given #10864 (H,wt=27): 12095 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(255,a,12088,a(flip),b,12094,a(flip)),flip(a)]. given #10865 (H,wt=23): 12096 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(255,a,12083,a(flip),b,12095,a(flip)),flip(a)]. given #10866 (H,wt=21): 12098 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(255,a,11948,a(flip),b,12096,a(flip))]. given #10867 (H,wt=27): 12100 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [hyper(255,a,11518,a,b,12098,a(flip)),flip(a)]. given #10868 (H,wt=25): 12101 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(9753,a,12100,a)]. given #10869 (H,wt=28): 12103 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(12101(a,1),11484(a,1,2)),flip(a)]. given #10870 (H,wt=26): 12104 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(37(a,2),12103(a,2,2,2))]. given #10871 (H,wt=24): 12105 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(10357(a,1),12104(a,2,2))]. given #10872 (H,wt=25): 12106 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(255,a,11694,a(flip),b,12105,a(flip)),flip(a)]. given #10873 (H,wt=22): 12107 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(319(a,1),12106(a,1,2,3))]. given #10874 (H,wt=18): 12108 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(10030,a,12107,a)]. given #10875 (H,wt=17): 12109 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(11756,a,12108,a)]. given #10876 (H,wt=17): 12111 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(19(a,1),12109(a,1,2)),flip(a)]. given #10877 (H,wt=19): 12112 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(12111(a,1),10255(a,1,2)),flip(a)]. given #10878 (H,wt=22): 12110 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(255,a,12101,a(flip),b,12108,a(flip))]. given #10879 (H,wt=22): 12115 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(12110(a,1),10359(a,1,1))]. given #10880 (H,wt=22): 12116 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(255,a,10349,a(flip),b,12115,a(flip)),flip(a)]. given #10881 (H,wt=23): 12113 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12111(a,1),10267(a,1,2)),flip(a)]. given #10882 (H,wt=29): 12114 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [hyper(255,a,10543,a(flip),b,12112,a(flip))]. given #10883 (H,wt=25): 12117 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(10562(a,1),12114(a,1,2,1)),flip(a)]. given #10884 (H,wt=25): 12118 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(255,a,12113,a,b,12117,a)]. given #10885 (H,wt=36): 12120 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(12118(a,1),11697(a,2,1,1))]. given #10886 (H,wt=41): 11972 T(K(x,y) * K(z,x),u) * u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(16(a,2),11952(a,2,1))]. given #10887 (H,wt=42): 10706 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). [para(10704(a,1),578(a,1,1,1)),flip(a)]. given #10888 (H,wt=37): 12121 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. [hyper(255,a,461,a(flip),b,10706,a)]. given #10889 (H,wt=33): 12122 (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [hyper(255,a,1902,a(flip),b,12121,a(flip)),flip(a)]. given #10890 (H,wt=33): 12123 (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5606(a,1),12122(a,1,1,2,1))]. given #10891 (H,wt=31): 12124 (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(6029(a,1),12123(a,1,1,2,1))]. given #10892 (H,wt=25): 12125 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(8270(a,1),12124(a,1,1,2,1)),flip(a)]. given #10893 (H,wt=25): 12126 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(255,a,4616,a(flip),b,12125,a(flip))]. given #10894 (H,wt=41): 12128 (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). [para(12126(a,1),1320(a,2,1,2)),flip(a)]. given #10895 (H,wt=41): 12129 (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). [para(5600(a,1),12128(a,1,1))]. given #10896 (H,wt=33): 12130 (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). [para(10303(a,1),12129(a,1,1))]. given #10897 (H,wt=15): 12131 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(303,a,12130,a)]. given #10898 (H,wt=23): 12134 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(255,a,6372,a(flip),b,12131,a(flip)),flip(a)]. given #10899 (H,wt=23): 12135 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(255,a,7623,a(flip),b,12134,a)]. given #10900 (H,wt=21): 12136 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(255,a,8055,a(flip),b,12135,a(flip))]. given #10901 (H,wt=19): 12138 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(255,a,11143,a(flip),b,12136,a)]. given #10902 (H,wt=19): 12139 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(9348,a,12138,a)]. given #10903 (H,wt=43): 9133 (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). [para(9127(a,1),2733(a,1,1,1))]. given #10904 (H,wt=36): 12141 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). [para(9127(a,1),9133(a,1,1,2,1,1)),flip(a)]. given #10905 (H,wt=32): 12142 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(18(a,1),12141(a,2,1,2,1))]. given #10906 (H,wt=25): 12144 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(9127(a,1),12142(a,1,1)),flip(a)]. given #10907 (H,wt=25): 12145 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2078(a,1),12144(a,2,2))]. given #10908 (H,wt=25): 12146 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(255,a,9869,a,b,12145,a(flip)),flip(a)]. given #10909 (H,wt=25): 12148 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(304,a,12146,a)]. given #10910 (H,wt=43): 9575 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * (z / (T(y,y \ 1) * z)),y \ 1). [para(596(a,1),8583(a,1,1,2,1)),flip(a)]. given #10911 (H,wt=40): 12149 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3442(a,1),9575(a,2,1,2))]. given #10912 (H,wt=28): 12150 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(596(a,1),12149(a,1,1,2,2))]. given #10913 (H,wt=26): 12151 K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3497(a,1),12150(a,1,1,2))]. given #10914 (H,wt=24): 12152 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(255,a,5887,a(flip),b,12151,a(flip))]. given #10915 (H,wt=43): 11119 T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(11118(a,1),5407(a,1,1))]. given #10916 (H,wt=43): 12153 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8100(a,1),11119(a,1,2,1,2))]. given #10917 (H,wt=41): 12154 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8439(a,1),12153(a,1,2,1,2))]. given #10918 (H,wt=41): 12155 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8143(a,1),12154(a,1,2,1,2))]. given #10919 (H,wt=39): 12156 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8278(a,1),12155(a,1,2,1,2))]. given #10920 (H,wt=39): 12157 T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(5333(a,1),12156(a,1,2,1))]. given #10921 (H,wt=39): 12158 K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [hyper(255,a,5594,a,b,12157,a(flip)),flip(a)]. given #10922 (H,wt=37): 12159 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). [para(8459(a,1),12158(a,1,1)),flip(a)]. given #10923 (H,wt=35): 12160 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(1601(a,1),12159(a,2,2))]. given #10924 (H,wt=33): 12161 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(255,a,8179,a(flip),b,12160,a)]. given #10925 (H,wt=44): 7121 K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). [para(1309(a,1),7042(a,2,1))]. given #10926 (H,wt=34): 12162 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). [para(18(a,1),7121(a,1,1,1)),flip(a)]. given #10927 (H,wt=32): 12163 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)). [hyper(255,a,7544,a(flip),b,12162,a)]. given #10928 (H,wt=30): 12165 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(255,a,9456,a(flip),b,12163,a)]. given #10929 (H,wt=30): 12166 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [hyper(7899,a,12165,a)]. given #10930 (H,wt=28): 12167 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(255,a,9485,a(flip),b,12166,a(flip)),flip(a)]. given #10931 (H,wt=23): 12168 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(9462,a,12167,a)]. given #10932 (H,wt=21): 12169 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(9342,a,12168,a),flip(a)]. given #10933 (H,wt=21): 12171 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(255,a,10322,a(flip),b,12169,a(flip)),flip(a)]. given #10934 (H,wt=21): 12172 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(6902,a,12171,a),flip(a)]. given #10935 (H,wt=21): 12173 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(255,a,9305,a,b,12172,a(flip)),flip(a)]. given #10936 (H,wt=31): 12174 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(255,a,11543,a,b,12173,a(flip)),flip(a)]. given #10937 (H,wt=26): 12175 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). [para(35(a,2),12174(a,2,2,1))]. given #10938 (H,wt=20): 12176 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(255,a,9568,a(flip),b,12175,a(flip))]. given #10939 (H,wt=44): 7645 K(x,y) * (((z * x) / z) * L(u,T(K(x,y),(z * x) / z),(z * x) / z)) = ((z * x) / z) * (T(K(x,y),(z * x) / z) * u). [para(7643(a,1),1006(a,1,2,2)),flip(a)]. given #10940 (H,wt=38): 12178 K(x,y) * (((z * x) / z) * L(u,T(K(x,y),(z * x) / z),(z * x) / z)) = ((z * x) / z) * (K(x,y) * u). [para(3336(a,1),7645(a,2,2,1))]. given #10941 (H,wt=32): 12179 K(x,y) * (((z * x) / z) * L(u,K(x,y),(z * x) / z)) = ((z * x) / z) * (K(x,y) * u). [para(3336(a,1),12178(a,1,2,2,2))]. given #10942 (H,wt=23): 12182 K(x,y) * (((z * x) / z) * u) = ((z * x) / z) * (K(x,y) * u). [para(7667(a,1),12179(a,1,2,2))]. given #10943 (H,wt=21): 12183 ((x * y) / x) * (K(y,z) * u) = T(y,z) * (K(x,y) * u). [hyper(5937,a,12182,a),flip(a)]. given #10944 (H,wt=24): 12184 ((x * y) / x) * (K(y,z) * u) != w | T(y,z) * (K(x,y) * u) = w. [para(12182(a,1),5937(a,1))]. given #10945 (H,wt=44): 9981 K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). [para(5618(a,1),9926(a,2,2))]. given #10946 (H,wt=44): 12185 K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5600(a,1),9981(a,1,1,1))]. given #10947 (H,wt=37): 12186 K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(11282(a,1),12185(a,1,1))]. given #10948 (H,wt=35): 12187 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(255,a,6610,a(flip),b,12186,a(flip)),flip(a)]. given #10949 (H,wt=35): 12189 K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(255,a,11893,a(flip),b,12187,a(flip)),flip(a)]. given #10950 (H,wt=31): 12190 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). [hyper(11878,a,12189,a),flip(a)]. given #10951 (H,wt=31): 12191 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). [hyper(255,a,11867,a(flip),b,12190,a)]. given #10952 (H,wt=18): 12192 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(255,a,11859,a(flip),b,12191,a)]. given #10953 (H,wt=16): 12194 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(255,a,6610,a(flip),b,12192,a(flip)),flip(a)]. given #10954 (H,wt=24): 12195 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(12194(a,1),5411(a,1,1))]. given #10955 (H,wt=19): 12196 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(11283(a,1),12195(a,1,2))]. given #10956 (H,wt=17): 12197 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(83,a,12196,a)]. given #10957 (H,wt=17): 12199 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5622,a,12197,a)]. given #10958 (H,wt=17): 12200 R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). [hyper(2083,a,12197,a)]. given #10959 (H,wt=19): 12202 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(9562(a,1),12197(a,1,2))]. given #10960 (H,wt=21): 12203 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(12197(a,1),10198(a,1,1)),flip(a)]. given #10961 (H,wt=21): 12205 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(12197(a,1),11870(a,2,2))]. given #10962 (H,wt=21): 12206 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(12197(a,1),11893(a,1,1)),flip(a)]. given #10963 (H,wt=21): 12207 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(12197(a,1),12148(a,1,1,2))]. given #10964 (H,wt=17): 12215 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(12197(a,1),12207(a,1,2))]. given #10965 (H,wt=21): 12210 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(5622,a,12203,a)]. given #10966 (H,wt=21): 12211 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(11876,a,12206,a)]. given #10967 (H,wt=23): 12201 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6358(a,1),12197(a,1,2))]. given #10968 (H,wt=23): 12209 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [para(12200(a,1),9998(a,2,2))]. given #10969 (H,wt=24): 12214 K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. [para(12206(a,1),11876(a,1))]. given #10970 (H,wt=25): 12198 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(8153(a,1),12196(a,1,2,1))]. given #10971 (H,wt=25): 12217 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(80,a,128,a(flip),b,12215,a)]. given #10972 (H,wt=25): 12220 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(9314(a,1),12198(a,1,2,2))]. given #10973 (H,wt=23): 12221 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(11882(a,1),12220(a,1,2))]. given #10974 (H,wt=26): 12218 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(255,a,10018,a(flip),b,12210,a(flip)),flip(a)]. given #10975 (H,wt=26): 12222 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(9427(a,1),12218(a,1,2))]. given #10976 (H,wt=24): 12223 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(5634,a,12222,a)]. given #10977 (H,wt=24): 12224 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(255,a,9991,a,b,12223,a)]. given #10978 (H,wt=33): 12208 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). [para(12199(a,1),10520(a,1,1)),flip(a)]. given #10979 (H,wt=27): 12225 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(255,a,12209,a(flip),b,12208,a)]. given #10980 (H,wt=34): 12219 R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). [para(12211(a,1),12028(a,1,1,1))]. given #10981 (H,wt=27): 12226 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(336(a,1),12219(a,1,1)),flip(a)]. given #10982 (H,wt=27): 12227 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(255,a,9429,a(flip),b,12226,a)]. given #10983 (H,wt=27): 12228 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(8100(a,1),12227(a,1,2,1,1))]. given #10984 (H,wt=27): 12229 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(9313(a,1),12228(a,1,2,1))]. given #10985 (H,wt=25): 12230 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(5263(a,2),12229(a,1,2))]. given #10986 (H,wt=25): 12231 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(255,a,9632,a,b,12230,a(flip)),flip(a)]. given #10987 (H,wt=23): 12232 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(8141(a,1),12231(a,1,1))]. given #10988 (H,wt=23): 12233 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(11841,a,12232,a)]. given #10989 (H,wt=19): 12234 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(255,a,12205,a(flip),b,12233,a(flip))]. given #10990 (H,wt=17): 12235 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(22,a,5252,a(flip),b,12234,a)]. given #10991 (H,wt=21): 12236 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(12214,a,12235,a)]. given #10992 (H,wt=19): 12237 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(12236(a,1),12221(a,1,2))]. given #10993 (H,wt=17): 12238 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(83,a,12237,a),flip(a)]. given #10994 (H,wt=17): 12239 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(255,a,12235,a,b,12238,a)]. given #10995 (H,wt=17): 12240 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(8134(a,1),12238(a,1,1))]. given #10996 (H,wt=17): 12241 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(8134(a,1),12239(a,1,1))]. given #10997 (H,wt=45): 6889 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = ((1 / (x / ((y * z) / y))) \ K(y,z)) * (1 / (x / ((y * z) / y))). [para(6884(a,1),5023(a,1,2,1))]. given #10998 (H,wt=45): 10425 (T(1 * (K(x,y) * K(z,x)),u) \ 1) \ u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(9215(a,1),10423(a,2,2,1,1))]. given #10999 (H,wt=43): 12242 (T(K(x,y) * K(z,x),u) \ 1) \ u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(16(a,1),10425(a,1,1,1,1))]. given #11000 (H,wt=25): 12243 (T(K(x,y) * K(z,x),u) \ 1) \ u = T(K(x,y) * K(z,x),u) * u. [hyper(255,a,11972,a,b,12242,a)]. given #11001 (H,wt=23): 12244 (T(K(x,y) * K(z,x),u) \ 1) \ u = u * (K(z,x) * K(x,y)). [hyper(255,a,11865,a(flip),b,12243,a)]. given #11002 (H,wt=21): 12245 T(K(x,y) * K(y,z),u) \ u = u * (K(z,y) * K(y,x)). [para(11890(a,1),12244(a,1,1))]. given #11003 (H,wt=21): 12246 x / (x * (K(y,z) * K(z,u))) = T(K(u,z) * K(z,y),x). [para(12245(a,1),70(a,1,2))]. given #11004 (H,wt=21): 12247 (K(x,y) * (K(z,x) * u)) \ u = T(K(y,x) * K(x,z),u). [hyper(255,a,11886,a(flip),b,12246,a(flip)),flip(a)]. given #11005 (H,wt=21): 12248 T(K(x,y) * K(y,z),u) \ 1 = T(K(y,x) * K(z,y),u). [para(12247(a,1),10493(a,1,1))]. given #11006 (H,wt=46): 5730 R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). [para(5181(a,1),3802(a,2,1,2,1))]. given #11007 (H,wt=44): 12249 K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). [para(5510(a,1),5730(a,1,1))]. given #11008 (H,wt=42): 12250 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). [para(5510(a,1),12249(a,1,2,1,1)),flip(a)]. given #11009 (H,wt=40): 12251 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). [para(5381(a,1),12250(a,2,2,1))]. given #11010 (H,wt=40): 12252 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). [para(6358(a,1),12251(a,2,2))]. given #11011 (H,wt=38): 12253 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). [para(5187(a,1),12252(a,1,1,1)),flip(a)]. given #11012 (H,wt=38): 12254 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). [para(6358(a,1),12253(a,2,1,2))]. given #11013 (H,wt=29): 12255 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). [hyper(255,a,12201,a(flip),b,12254,a(flip))]. given #11014 (H,wt=46): 11054 K(x * y,L(y,z,u)) * K(L(y,z,u),L(y,z,u) \ (x * L(y,z,u))) = a(L(y,z,u),L(y,z,u) \ (x * L(y,z,u)),L(y,z,u)). [para(11052(a,1),9158(a,1,1))]. given #11015 (H,wt=36): 12256 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(5387(a,1),11054(a,1,2)),flip(a)]. given #11016 (H,wt=47): 3402 (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. [para(2104(a,2),3398(a,1,2))]. given #11017 (H,wt=29): 12257 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(21(a,1),3402(a,1,2,1))]. given #11018 (H,wt=27): 12258 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(67(a,1),12257(a,1,2))]. given #11019 (H,wt=23): 12260 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(219,a,12258,a)]. given #11020 (H,wt=21): 12263 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(3741(a,1),12260(a,1,1))]. given #11021 (H,wt=21): 12264 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(255,a,7177,a(flip),b,12263,a(flip))]. given #11022 (H,wt=21): 12265 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(255,a,5142,a(flip),b,12264,a)]. given #11023 (H,wt=21): 12266 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(255,a,10632,a(flip),b,12265,a)]. given #11024 (H,wt=15): 12268 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1150(a,1),12266(a,1,2))]. given #11025 (H,wt=24): 12269 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(12268(a,1),5241(a,2,1)),flip(a)]. given #11026 (H,wt=25): 12267 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(12265(a,2),7178(a,1,1))]. given #11027 (H,wt=23): 12272 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(12267(a,1),11805(a,1,2))]. given #11028 (H,wt=19): 12273 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(255,a,6434,a(flip),b,12272,a(flip)),flip(a)]. given #11029 (H,wt=19): 12274 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(255,a,10480,a(flip),b,12273,a)]. given #11030 (H,wt=19): 12275 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(255,a,11811,a(flip),b,12274,a(flip))]. given #11031 (H,wt=19): 12276 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(12274(a,1),73(a,1,1))]. given #11032 (H,wt=25): 12277 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(12276(a,1),5062(a,1,2,1))]. given #11033 (H,wt=25): 12278 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(255,a,10480,a(flip),b,12277,a)]. given #11034 (H,wt=25): 12279 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(12275(a,1),12278(a,1,1))]. given #11035 (H,wt=25): 12280 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(255,a,11812,a,b,12279,a(flip)),flip(a)]. given #11036 (H,wt=23): 12281 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(6709(a,1),12280(a,1,1))]. given #11037 (H,wt=21): 12282 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(255,a,6031,a(flip),b,12281,a(flip))]. given #11038 (H,wt=19): 12283 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(255,a,10491,a(flip),b,12282,a(flip)),flip(a)]. given #11039 (H,wt=19): 12284 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(12283(a,1),73(a,1,1))]. given #11040 (H,wt=19): 12285 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(12284(a,1),2229(a,1,1))]. given #11041 (H,wt=27): 12286 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(12285(a,1),6992(a,1,2,1))]. given #11042 (H,wt=27): 12287 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T((((y * z) \ y) \ 1) \ x,u)). [hyper(8996,a,12286,a),flip(a)]. given #11043 (H,wt=28): 12270 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(255,a,8154,a,b,12269,a)]. given #11044 (H,wt=31): 12271 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. [para(12269(a,2),8183(a,1))]. given #11045 (H,wt=47): 5081 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * ((z * (((x * z) / x) \ y)) / z). [hyper(255,a,2736,a,b,5080,a)]. given #11046 (H,wt=43): 12288 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * ((K(z,x) * y) / z). [para(5214(a,1),5081(a,2,2,1))]. given #11047 (H,wt=43): 12289 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * (K(z,x) * (y / z)). [para(7716(a,1),12288(a,2,2))]. given #11048 (H,wt=41): 12290 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = T(z,x) * (K(x,z) * (y / z)). [hyper(255,a,12183,a(flip),b,12289,a)]. given #11049 (H,wt=35): 12291 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = z * (y / z). [hyper(255,a,5564,a(flip),b,12290,a)]. given #11050 (H,wt=33): 12293 ((T(x,y) / z) \ ((y * (((y \ (x * y)) / z) * z)) / y)) * ((y \ (x * y)) / z) = z * (x / z). [para(37(a,2),12291(a,1,1,1,1))]. given #11051 (H,wt=31): 12294 ((T(x,y) / z) \ ((y * ((T(x,y) / z) * z)) / y)) * ((y \ (x * y)) / z) = z * (x / z). [para(37(a,2),12293(a,1,1,2,1,2,1,1))]. given #11052 (H,wt=27): 12295 ((T(x,y) / z) \ ((y * T(x,y)) / y)) * ((y \ (x * y)) / z) = z * (x / z). [para(21(a,1),12294(a,1,1,2,1,2))]. given #11053 (H,wt=21): 12297 ((T(x,y) / z) \ x) * ((y \ (x * y)) / z) = z * (x / z). [para(167(a,1),12295(a,1,1,2))]. given #11054 (H,wt=19): 12298 ((T(x,y) / z) \ x) * (T(x,y) / z) = z * (x / z). [para(37(a,2),12297(a,1,2,1))]. given #11055 (H,wt=27): 12299 K((T(x,y) / z) \ T(x,u),T(x,y) / z) = T(x,u) \ T(z * (x / z),u). [para(12298(a,1),5046(a,1,2,1)),flip(a)]. given #11056 (H,wt=23): 12300 K((T(x,y) / z) \ T(x,u),T(x,y) / z) = K(z,z \ T(x,u)). [hyper(255,a,5659,a(flip),b,12299,a)]. given #11057 (H,wt=21): 12301 K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K(z,z \ x). [hyper(255,a,7991,a(flip),b,12300,a)]. given #11058 (H,wt=17): 12302 K(K(x,y) * z,z \ T(y,x)) = K(z,z \ y). [hyper(255,a,12046,a(flip),b,12301,a(flip)),flip(a)]. given #11059 (H,wt=23): 12304 K(K(x,T(y,z \ T(y,x))) * z,z \ T(y,x)) = K(z,z \ y). [hyper(255,a,8077,a,b,12302,a(flip)),flip(a)]. given #11060 (H,wt=21): 12305 K(K(x,T(y,z \ y)) * z,z \ T(y,x)) = K(z,z \ y). [para(8802(a,1),12304(a,1,1,1,2))]. given #11061 (H,wt=19): 12306 K(K(x,T(y,z)) * z,z \ T(y,x)) = K(z,z \ y). [para(8542(a,1),12305(a,1,1,1))]. given #11062 (H,wt=17): 12308 K(x * K(y,z),x \ T(z,y)) = K(x,x \ z). [para(8235(a,1),12306(a,1,1))]. given #11063 (H,wt=23): 12309 T(T(x,y) / z,z * K(y,x)) = T(x,y) / (z * K(z,z \ x)). [para(12308(a,1),7825(a,1,2,2)),flip(a)]. given #11064 (H,wt=21): 12310 T(T(x,y) / z,z * K(y,x)) = T(x,y) / T(z,z \ x). [para(5252(a,2),12309(a,2,2))]. given #11065 (H,wt=29): 12311 T(x,L(T(y * z,z) / T(y,y \ (y * z)),u,w)) = T(x,L((y * z) / y,u,w)). [para(12310(a,1),11268(a,1,2,1))]. given #11066 (H,wt=25): 12312 T(x,L(T(y * z,z) / T(y,z),u,w)) = T(x,L((y * z) / y,u,w)). [para(18(a,1),12311(a,1,2,1,2,2))]. given #11067 (H,wt=23): 12313 T(x,L((y * z) / y,u,w)) = T(x,L(z * K(y * z,z),u,w)). [para(5422(a,1),12312(a,1,2,1)),flip(a)]. given #11068 (H,wt=21): 12314 T(x,L(T(y,z * y),u,w)) = T(x,L((z * y) / z,u,w)). [hyper(255,a,8864,a(flip),b,12313,a),flip(a)]. given #11069 (H,wt=19): 12315 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [hyper(255,a,8863,a(flip),b,12314,a)]. given #11070 (H,wt=36): 12316 (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(12315(a,1),11673(a,1,2))]. given #11071 (H,wt=34): 12317 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). [para(4536(a,1),12316(a,1,2)),flip(a)]. given #11072 (H,wt=34): 12318 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). [para(43(a,1),12317(a,2,2))]. given #11073 (H,wt=30): 12319 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x). [hyper(255,a,7790,a(flip),b,12318,a)]. given #11074 (H,wt=30): 12320 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x). [para(11637(a,1),12319(a,2,1))]. given #11075 (H,wt=28): 12321 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x). [hyper(255,a,7434,a(flip),b,12320,a)]. given #11076 (H,wt=26): 12322 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(7537(a,1),12321(a,1,2,3))]. given #11077 (H,wt=22): 12323 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(4474(a,1),12322(a,1,2,3))]. given #11078 (H,wt=26): 12324 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [hyper(255,a,11738,a,b,12323,a(flip)),flip(a)]. given #11079 (H,wt=26): 12325 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(11600(a,1),12324(a,1,1))]. given #11080 (H,wt=20): 12326 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(3140(a,1),12325(a,1,2)),flip(a)]. given #11081 (H,wt=20): 12327 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(255,a,5600,a(flip),b,12326,a)]. given #11082 (H,wt=20): 12328 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(11637(a,1),12327(a,2,1))]. given #11083 (H,wt=18): 12329 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(255,a,5263,a,b,12328,a)]. given #11084 (H,wt=21): 12330 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(255,a,12004,a,b,12329,a(flip)),flip(a)]. given #11085 (H,wt=48): 9187 a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(7123(a,1),9171(a,2,1))]. given #11086 (H,wt=48): 10300 x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(160(a,2),10294(a,1,2,2,2))]. given #11087 (H,wt=44): 12331 x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(6849(a,1),10300(a,1,2,1))]. given #11088 (H,wt=37): 12332 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(4245(a,1),12331(a,1,2,2)),flip(a)]. given #11089 (H,wt=33): 12333 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(8521(a,1),12332(a,2,2))]. given #11090 (H,wt=43): 12334 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(18(a,1),12333(a,2,2,1))]. given #11091 (H,wt=42): 12335 K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(11991(a,1),12334(a,1,1,2))]. given #11092 (H,wt=35): 12336 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8978(a,1),12335(a,1,1))]. given #11093 (H,wt=34): 12338 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(11991(a,1),12336(a,1,2,1))]. given #11094 (H,wt=33): 12339 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(5804(a,1),12338(a,1,2))]. given #11095 (H,wt=31): 12340 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7786(a,1),12339(a,1,2))]. given #11096 (H,wt=19): 12341 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(7212(a,1),12340(a,1,2)),flip(a)]. given #11097 (H,wt=19): 12342 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(255,a,7814,a,b,12341,a)]. given #11098 (H,wt=49): 6546 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(4621(a,1),6354(a,1,2))]. given #11099 (H,wt=37): 12344 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(9068(a,1),6546(a,1,1)),flip(a)]. given #11100 (H,wt=37): 12345 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(255,a,7714,a,b,12344,a)]. given #11101 (H,wt=35): 12347 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(5272(a,1),12345(a,2,1))]. given #11102 (H,wt=49): 6547 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(4621(a,1),6355(a,1,2))]. given #11103 (H,wt=37): 12348 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(9068(a,1),6547(a,1,1)),flip(a)]. given #11104 (H,wt=37): 12349 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(255,a,7714,a,b,12348,a)]. given #11105 (H,wt=35): 12351 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(5272(a,1),12349(a,2,1))]. given #11106 (H,wt=33): 12352 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). [hyper(255,a,10086,a(flip),b,12351,a)]. given #11107 (H,wt=33): 12353 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4565(a,2),12352(a,1,2))]. given #11108 (H,wt=27): 12354 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(9064(a,1),12353(a,1,2,1))]. given #11109 (H,wt=27): 12355 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4563(a,2),12354(a,1,2,1))]. given #11110 (H,wt=49): 11769 K((T(x,y) \ ((x \ 1) \ K(z,x))) \ 1,((x \ K(x,z)) * T(x,y)) \ 1) = K(((x \ 1) \ K(z,x)) \ T(x,y),T(x,y) \ ((x \ 1) \ K(z,x))). [para(11767(a,1),6598(a,1,2,1))]. given #11111 (H,wt=47): 12357 K((x * (K(y,x) / T(x,z))) \ 1,((x \ K(x,y)) * T(x,z)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). [para(8888(a,1),11769(a,1,1,1))]. given #11112 (H,wt=49): 11770 (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11767(a,2),7103(a,1,2,1))]. given #11113 (H,wt=49): 12358 (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(6125(a,1),11770(a,1,1,1))]. given #11114 (H,wt=47): 12359 ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11767(a,1),12358(a,1,1))]. given #11115 (H,wt=45): 12360 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11767(a,1),12359(a,1,2,1))]. given #11116 (H,wt=45): 12361 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(6125(a,1),12360(a,1,2,2,2))]. given #11117 (H,wt=50): 10699 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). [para(10698(a,1),2168(a,1,1)),flip(a)]. given #11118 (H,wt=49): 12362 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). [para(10698(a,1),10699(a,2,2,1,1))]. given #11119 (H,wt=47): 12363 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). [hyper(255,a,1907,a(flip),b,12362,a)]. given #11120 (H,wt=45): 12364 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). [para(2114(a,1),12363(a,2,2))]. given #11121 (H,wt=43): 12365 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). [para(821(a,1),12364(a,2,2,1))]. given #11122 (H,wt=37): 12366 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1158(a,1),12365(a,2,2,1,2))]. given #11123 (H,wt=35): 12367 T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1907(a,1),12366(a,1,1))]. given #11124 (H,wt=51): 9186 (R(a(x,y,x),K(y,x),z * u) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). [para(9171(a,1),1388(a,1,2,1))]. given #11125 (H,wt=51): 9840 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). [para(5509(a,1),7882(a,1,2)),flip(a)]. given #11126 (H,wt=41): 12368 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). [hyper(255,a,9593,a(flip),b,9840,a)]. given #11127 (H,wt=41): 12369 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). [hyper(255,a,8138,a(flip),b,12368,a)]. given #11128 (H,wt=52): 9792 K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2858(a,1),9734(a,2,1,1))]. given #11129 (H,wt=52): 11284 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). [para(11282(a,1),453(a,1,1,1)),flip(a)]. given #11130 (H,wt=22): 12371 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(255,a,18,a(flip),b,11284,a)]. given #11131 (H,wt=17): 12373 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(11282(a,1),12371(a,1,3))]. given #11132 (H,wt=13): 12375 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(12197(a,1),12373(a,1,3))]. given #11133 (H,wt=25): 12376 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [para(12375(a,1),112(a,1,2))]. given #11134 (H,wt=27): 12377 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(255,a,12225,a(flip),b,12376,a(flip))]. given #11135 (H,wt=19): 12378 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5608(a,1),12377(a,1,2))]. given #11136 (H,wt=19): 12379 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(8236(a,1),12378(a,1,1,1)),flip(a)]. given #11137 (H,wt=17): 12380 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(173,a,12379,a),flip(a)]. given #11138 (H,wt=52): 12027 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),L(K(z,y),u,x)) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(12026(a,1),6517(a,1,1,2))]. given #11139 (H,wt=52): 12370 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2889(a,1),9792(a,1,1,1,2))]. given #11140 (H,wt=44): 12382 K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(4882(a,1),12370(a,1,1,1))]. given #11141 (H,wt=42): 12383 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). [para(126(a,1),12382(a,1,1,1)),flip(a)]. given #11142 (H,wt=42): 12385 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). [para(2889(a,1),12383(a,2,1,3,2))]. given #11143 (H,wt=38): 12386 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). [para(18(a,1),12385(a,2,1,3))]. given #11144 (H,wt=34): 12388 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4857(a,1),12386(a,2,1))]. given #11145 (H,wt=30): 12389 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(70(a,1),12388(a,1,1,1,1,2))]. given #11146 (H,wt=30): 12390 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(2889(a,1),12389(a,1,1,2))]. given #11147 (H,wt=22): 12391 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(255,a,6038,a(flip),b,12390,a(flip)),flip(a)]. given #11148 (H,wt=32): 12393 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). [para(37(a,2),12391(a,1,1,1,1)),flip(a)]. given #11149 (H,wt=30): 12394 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(10487(a,1),12393(a,2,1,1))]. given #11150 (H,wt=27): 12395 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(255,a,7622,a(flip),b,12394,a)]. given #11151 (H,wt=25): 12396 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(37(a,2),12395(a,1,1,3))]. given #11152 (H,wt=25): 12397 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7542(a,1),12396(a,2,1))]. given #11153 (H,wt=21): 12398 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(255,a,7206,a(flip),b,12397,a(flip)),flip(a)]. given #11154 (H,wt=28): 12399 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [para(12398(a,1),6918(a,2,2))]. given #11155 (H,wt=25): 12401 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [hyper(255,a,112,a(flip),b,12399,a)]. given #11156 (H,wt=23): 12402 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [para(7559(a,1),12401(a,2,2))]. given #11157 (H,wt=21): 12403 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [hyper(6893,a,12402,a)]. given #11158 (H,wt=15): 12404 K(x * y,z) * x = x * K(y * x,z). [hyper(11395,a,12403,a),flip(a)]. given #11159 (H,wt=13): 12405 K(x * y,T(z,y)) = K(y * x,z). [hyper(8290,a,12404,a),flip(a)]. given #11160 (H,wt=13): 12406 K(x * y,T(z,x)) = K(y * x,z). [hyper(7651,a,12404,a)]. given #11161 (H,wt=13): 12410 K(x * (y / x),z) = K(y,T(z,x)). [para(21(a,1),12405(a,1,1)),flip(a)]. given #11162 (H,wt=13): 12414 K((x \ y) * x,z) = K(y,T(z,x)). [para(19(a,1),12406(a,1,1)),flip(a)]. given #11163 (H,wt=11): 12419 K((x \ y) * x,T(y,z)) = 1. [hyper(255,a,403,a(flip),b,12414,a)]. given #11164 (H,wt=15): 12412 K(T(x,y),z * y) = 1 / K(y * z,x). [para(12405(a,1),5394(a,1,2)),flip(a)]. given #11165 (H,wt=13): 12421 K(T(x,y),z * y) = K(x,y * z). [hyper(255,a,5394,a(flip),b,12412,a)]. given #11166 (H,wt=13): 12422 K(x,T(y * z,z)) = K(x,z * y). [hyper(7899,a,12421,a)]. given #11167 (H,wt=13): 12423 K(x,T(y * z,y)) = K(x,z * y). [hyper(8571,a,12422,a)]. given #11168 (H,wt=13): 12427 K(x,(y \ z) * y) = K(x,T(z,y)). [para(19(a,1),12423(a,1,2,1)),flip(a)]. given #11169 (H,wt=15): 12413 K(x * y,z) * y = y * K(y * x,z). [para(12405(a,1),7559(a,1,2)),flip(a)]. given #11170 (H,wt=15): 12417 K(T(x,y) * y,z) = K(x * y,T(z,x)). [para(4127(a,2),12410(a,1,1))]. given #11171 (H,wt=11): 12432 K(T(x \ y,x) * x,y) = 1. [hyper(255,a,12419,a(flip),b,12417,a)]. given #11172 (H,wt=13): 12433 x * K(T(y \ z,y) * y,z) = x. [para(12432(a,2),17(a,1,2))]. given #11173 (H,wt=15): 12420 T(x,(y \ z) * y) = x / K(z,T(x,y)). [para(12414(a,1),5197(a,2,2))]. given #11174 (H,wt=13): 12434 T(x,(y \ z) * y) = T(x,T(z,y)). [hyper(255,a,7594,a(flip),b,12420,a)]. given #11175 (H,wt=13): 12435 T(x,T(y * z,y)) = T(x,z * y). [para(18(a,1),12434(a,1,2,1)),flip(a)]. given #11176 (H,wt=14): 12436 T(x,(x \ y) * x) != z | T(x,y) = z. [para(12434(a,2),5718(a,1))]. given #11177 (H,wt=14): 12438 T(x,y * x) != z | T(x,x * y) = z. [para(12435(a,1),5718(a,1))]. given #11178 (H,wt=15): 12428 T(x,T(y * z,y)) = x * K(x,z * y). [para(12423(a,1),5252(a,2,2))]. given #11179 (H,wt=15): 12437 T(T(x,K(y,z)),z * y) = T(x,y * z). [hyper(255,a,8365,a,b,12435,a(flip)),flip(a)]. given #11180 (H,wt=15): 12440 T(T(x,y * z),K(y,z)) = T(x,z * y). [hyper(8204,a,12437,a)]. given #11181 (H,wt=16): 12425 K(x,y * z) != u | K(x,T(z * y,z)) = u. [para(12422(a,1),8571(a,1))]. given #11182 (H,wt=16): 12439 T(x,T(y * z,y)) != u | T(x,z * y) = u. [para(12428(a,2),5255(a,1))]. given #11183 (H,wt=17): 12407 K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). [hyper(23,a,8545,a(flip),b,12404,a)]. given #11184 (H,wt=17): 12424 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [hyper(8551,a,12422,a)]. given #11185 (H,wt=17): 12426 K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). [hyper(8565,a,12423,a)]. given #11186 (H,wt=17): 12430 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(12423(a,1),11113(a,1,2)),flip(a)]. given #11187 (H,wt=17): 12431 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(5025(a,1),12427(a,1,2)),flip(a)]. given #11188 (H,wt=16): 12450 K(x,T(y * z,z)) != u | K(x,z * y) = u. [para(12431(a,1),9339(a,1))]. given #11189 (H,wt=16): 12452 K(x,T(y * z,y)) != u | K(x,z * y) = u. [para(8541(a,1),12450(a,1))]. given #11190 (H,wt=17): 12446 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(8504,a,12430,a)]. given #11191 (H,wt=17): 12447 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(y,z)). [para(21(a,1),12430(a,2,2,2))]. given #11192 (H,wt=17): 12454 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). [para(12447(a,1),9077(a,2,2))]. given #11193 (H,wt=18): 12441 T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. [para(12440(a,1),6800(a,1,1)),flip(b)]. given #11194 (H,wt=18): 12442 T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. [para(8365(a,2),12439(a,1))]. given #11195 (H,wt=18): 12449 K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. [para(12431(a,1),5403(a,1))]. given #11196 (H,wt=19): 12429 T(x * y,T(z,x)) \ 1 = (x * y) \ K(z,y * x). [para(12423(a,1),7581(a,2,2))]. given #11197 (H,wt=19): 12448 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). [para(12430(a,1),8168(a,1,2,2))]. given #11198 (H,wt=18): 12460 T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)). [hyper(9430,a,12448,a)]. given #11199 (H,wt=20): 12445 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [hyper(255,a,11462,a(flip),b,12426,a)]. given #11200 (H,wt=17): 12462 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(255,a,9487,a(flip),b,12445,a(flip))]. given #11201 (H,wt=17): 12463 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(255,a,11461,a(flip),b,12462,a(flip)),flip(a)]. given #11202 (H,wt=18): 12464 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(472(a,1),12463(a,1,2)),flip(a)]. given #11203 (H,wt=20): 12451 K(x,y * R(x,z,u)) != w | K(x,R(x,z,u) * y) = w. [para(7554(a,1),12450(a,1))]. given #11204 (H,wt=21): 12411 K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u). [para(396(a,1),12405(a,1,1))]. given #11205 (H,wt=21): 12444 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(255,a,10161,a(flip),b,12424,a(flip))]. given #11206 (H,wt=22): 12416 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(12406(a,1),12062(a,1,1))]. given #11207 (H,wt=22): 12461 (x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x). [para(12460(a,1),11610(a,1,2))]. given #11208 (H,wt=23): 12418 K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). [para(6022(a,1),12410(a,1,1,2)),flip(a)]. given #11209 (H,wt=23): 12453 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(255,a,8503,a(flip),b,12446,a(flip))]. given #11210 (H,wt=19): 12469 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(255,a,8436,a(flip),b,12453,a(flip))]. given #11211 (H,wt=19): 12470 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(8504,a,12469,a)]. given #11212 (H,wt=24): 12456 T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. [para(8154(a,1),12442(a,1,1,2))]. given #11213 (H,wt=25): 12415 K(((x * (y \ z)) / x) * y,u) = K(z * K(x,(z \ y) \ 1),T(u,y)). [para(5775(a,2),12406(a,1,1)),flip(a)]. given #11214 (H,wt=26): 12458 T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. [para(8236(a,1),12442(a,1,1,2))]. given #11215 (H,wt=27): 12459 T(K(x,y) * K(z,x),T(u,K(x,y))) \ 1 = K(x,T(z,u)) * K(y,T(x,u)). [hyper(255,a,12038,a(flip),b,12429,a)]. given #11216 (H,wt=23): 12472 T(K(x,y) * K(y,z),u) \ 1 = K(y,T(x,u)) * K(z,T(y,u)). [para(10301(a,1),12459(a,1,1))]. given #11217 (H,wt=21): 12473 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(255,a,12248,a(flip),b,12472,a(flip))]. given #11218 (H,wt=25): 12474 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(12473(a,1),10284(a,1,1)),flip(a)]. given #11219 (H,wt=28): 12457 T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. [para(8131(a,1),12442(a,1,1,2))]. given #11220 (H,wt=29): 12465 K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [hyper(8565,a,12411,a)]. given #11221 (H,wt=25): 12476 K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(848(a,1),12465(a,1,1))]. given #11222 (H,wt=23): 12477 K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). [hyper(9355,a,12476,a),flip(a)]. given #11223 (H,wt=26): 12478 K((x \ 1) * T(y / (x \ 1),z),u) != w | K(x \ T(y * x,z),u) = w. [para(12476(a,1),9355(a,1))]. given #11224 (H,wt=30): 12467 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = T(L(K(z,u),y,x),T(x * y,K(z,u))). [para(12461(a,1),129(a,1,1)),flip(a)]. given #11225 (H,wt=26): 12479 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). [hyper(255,a,4461,a(flip),b,12467,a)]. given #11226 (H,wt=26): 12480 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). [para(7539(a,2),12479(a,2,1))]. given #11227 (H,wt=32): 12475 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [hyper(255,a,11206,a(flip),b,12474,a(flip))]. given #11228 (H,wt=25): 12481 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(10746(a,1),12475(a,1,1)),flip(a)]. given #11229 (H,wt=30): 12483 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(12481(a,1),12120(a,2,1))]. given #11230 (H,wt=28): 12484 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(12111(a,1),12483(a,2,1,1))]. given #11231 (H,wt=26): 12486 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(7464(a,1),12484(a,1,1,1))]. given #11232 (H,wt=26): 12488 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(10189(a,1),12486(a,1,1))]. given #11233 (H,wt=20): 12489 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(9374(a,1),12488(a,1,1)),flip(a)]. given #11234 (H,wt=28): 12490 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(80,a,12489,a(flip),b,637,a)]. given #11235 (H,wt=19): 12491 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(255,a,11303,a(flip),b,12490,a(flip))]. given #11236 (H,wt=17): 12492 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(10020(a,1),12491(a,2,2))]. given #11237 (H,wt=12): 12493 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(255,a,10022,a(flip),b,12492,a)]. given #11238 (H,wt=12): 12496 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(38,a,12493,a)]. given #11239 (H,wt=31): 12497 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(12496(a,1),11372(a,1,2))]. given #11240 (H,wt=23): 12498 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(10047(a,1),12497(a,1,1,2,1))]. given #11241 (H,wt=16): 12499 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(467,a,12498,a),flip(a)]. given #11242 (H,wt=12): 12501 R(a(x,y,x),z,u) = a(x,y,x). [hyper(22,a,10017,a(flip),b,12499,a)]. given #11243 (H,wt=9): 12509 L(x,y,a(z,u,z)) = x. [para(12501(a,1),12496(a,1,3))]. given #11244 (H,wt=12): 12504 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(255,a,12109,a(flip),b,12501,a(flip)),flip(a)]. given #11245 (H,wt=15): 12514 a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). [hyper(255,a,11585,a,b,12504,a)]. given #11246 (H,wt=16): 12505 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(255,a,10302,a(flip),b,12501,a(flip))]. given #11247 (H,wt=17): 12506 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(12501(a,1),122(a,1,1)),flip(a)]. given #11248 (H,wt=17): 12510 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(12509(a,1),483(a,1,2))]. given #11249 (H,wt=17): 12516 a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). [hyper(11949,a,12514,a),flip(a)]. given #11250 (H,wt=17): 12520 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(10017(a,1),12506(a,1,1))]. given #11251 (H,wt=17): 12524 (x * a(y,x,y)) * z = x * (a(y,x,y) * z). [hyper(255,a,11727,a(flip),b,12520,a)]. given #11252 (H,wt=19): 12515 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(12504(a,1),12116(a,1,2)),flip(a)]. given #11253 (H,wt=14): 12525 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(255,a,9182,a(flip),b,12515,a)]. given #11254 (H,wt=19): 12522 a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). [para(37(a,1),12516(a,1,2))]. given #11255 (H,wt=20): 12527 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(10351,a,12525,a),flip(a)]. given #11256 (H,wt=16): 12529 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(255,a,11327,a(flip),b,12527,a(flip)),flip(a)]. given #11257 (H,wt=14): 12530 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(255,a,12139,a(flip),b,12529,a(flip)),flip(a)]. given #11258 (H,wt=17): 12534 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(255,a,12176,a(flip),b,12530,a(flip)),flip(a)]. given #11259 (H,wt=24): 12503 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(255,a,458,a,b,12501,a(flip)),flip(a)]. given #11260 (H,wt=24): 12523 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z * a(x,y,x),u). [hyper(5258,a,12520,a)]. given #11261 (H,wt=25): 12518 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5984(a,1),12505(a,1,2)),flip(a)]. given #11262 (H,wt=25): 12528 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(255,a,11059,a,b,12522,a(flip)),flip(a)]. given #11263 (H,wt=23): 12540 a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). [hyper(255,a,11473,a(flip),b,12528,a(flip))]. given #11264 (H,wt=25): 12536 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(255,a,11918,a(flip),b,12534,a(flip))]. given #11265 (H,wt=21): 12543 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(255,a,11970,a(flip),b,12536,a(flip)),flip(a)]. given #11266 (H,wt=13): 12544 R(K(x,y),z,u) = K(R(x,z,u),y). [para(5911(a,1),12543(a,1,1))]. given #11267 (H,wt=12): 12545 R(K(x,y),K(x,z),u) = K(x,y). [para(4610(a,1),12544(a,2,1))]. given #11268 (H,wt=19): 12552 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [para(12545(a,1),122(a,1,1)),flip(a)]. given #11269 (H,wt=10): 12553 L(x,K(y,z),K(y,u)) = x. [hyper(422,a,12552,a)]. given #11270 (H,wt=17): 12555 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(255,a,6144,a(flip),b,12553,a(flip)),flip(a)]. given #11271 (H,wt=17): 12557 (K(x,y) * K(x,z)) \ 1 = K(z,x) * K(y,x). [hyper(255,a,6108,a,b,12555,a)]. given #11272 (H,wt=19): 12554 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(255,a,6306,a(flip),b,12553,a(flip)),flip(a)]. given #11273 (H,wt=20): 12548 R(K(x,K(y,z)),u,w) != v5 | K(y,K(z,R(x,u,w))) = v5. [para(12544(a,2),8176(a,1))]. given #11274 (H,wt=20): 12549 K(x,R(K(y,z),u,w)) != v5 | K(x,K(z,R(y,u,w))) = v5. [para(12544(a,2),8183(a,1,2))]. given #11275 (H,wt=23): 12550 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(12544(a,1),9993(a,1,1,1,2))]. given #11276 (H,wt=23): 12560 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(11906,a,12550,a)]. given #11277 (H,wt=15): 12561 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [para(60(a,1),12560(a,1,2))]. given #11278 (H,wt=13): 12562 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(92,a,12561,a),flip(a)]. given #11279 (H,wt=13): 12565 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(255,a,12544,a(flip),b,12562,a(flip)),flip(a)]. given #11280 (H,wt=16): 12564 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(12561(a,1),91(a,1)),flip(b)]. given #11281 (H,wt=16): 12576 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(12544(a,1),12564(a,1))]. given #11282 (H,wt=17): 12571 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(12562(a,1),12197(a,1,2))]. given #11283 (H,wt=15): 12577 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(255,a,12202,a(flip),b,12571,a(flip)),flip(a)]. given #11284 (H,wt=19): 12578 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(12577(a,2),12239(a,2,1)),flip(a)]. given #11285 (H,wt=19): 12579 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(255,a,12241,a,b,12578,a(flip)),flip(a)]. given #11286 (H,wt=20): 12574 T(x,K(y,R(z,u,w))) != v5 | T(x,K(z,R(y,u,w))) = v5. [para(12565(a,1),8214(a,1,2))]. given #11287 (H,wt=20): 12580 T(x,R(K(y,z),u,w)) != v5 | T(x,K(y,R(z,u,w))) = v5. [para(9629(a,2),12574(a,1))]. given #11288 (H,wt=22): 12573 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(7317,a,12565,a),flip(a)]. given #11289 (H,wt=22): 12581 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(12576,a,12573,a)]. given #11290 (H,wt=24): 12572 T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). [para(12562(a,1),12224(a,2,1,2))]. given #11291 (H,wt=22): 12582 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(5252(a,2),12572(a,2,1))]. given #11292 (H,wt=25): 12558 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. [para(12555(a,1),7325(a,2,1))]. given #11293 (H,wt=25): 12559 K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. [hyper(255,a,6555,a(flip),b,12554,a(flip))]. given #11294 (H,wt=23): 12583 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(3531(a,1),12559(a,1,2)),flip(a)]. given #11295 (H,wt=23): 12584 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(255,a,5683,a(flip),b,12583,a)]. given #11296 (H,wt=21): 12585 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(8605(a,1),12584(a,2,2))]. given #11297 (H,wt=27): 12537 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(10036(a,1),12503(a,1,1,1))]. given #11298 (H,wt=24): 12587 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(122(a,1),12537(a,1,1))]. given #11299 (H,wt=24): 12588 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12524(a,1),12587(a,1,1,1))]. given #11300 (H,wt=26): 12589 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(19(a,1),12588(a,1,2,1))]. given #11301 (H,wt=22): 12590 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(11728(a,1),12589(a,1,1,1)),flip(a)]. given #11302 (H,wt=17): 12591 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(255,a,35,a,b,12590,a)]. given #11303 (H,wt=17): 12592 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(18(a,1),12591(a,1,2,2)),flip(a)]. given #11304 (H,wt=12): 12593 a(x,R(y,z,u),x) = a(x,y,x). [hyper(255,a,12501,a(flip),b,12592,a(flip))]. given #11305 (H,wt=18): 12596 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(12593(a,1),9189(a,1,1)),flip(a)]. given #11306 (H,wt=16): 12597 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(255,a,9189,a(flip),b,12596,a)]. given #11307 (H,wt=20): 12595 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(12593(a,1),9169(a,1,1))]. given #11308 (H,wt=18): 12599 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [hyper(10069,a,12595,a)]. given #11309 (H,wt=24): 12598 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(12597(a,1),12355(a,1,2))]. given #11310 (H,wt=19): 12601 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(718(a,1),12598(a,1,2)),flip(a)]. given #11311 (H,wt=26): 12603 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(12601(a,1),5182(a,2,2)),flip(a)]. given #11312 (H,wt=26): 12604 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(255,a,12342,a(flip),b,12603,a(flip)),flip(a)]. given #11313 (H,wt=24): 12605 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(12202(a,1),12604(a,1,1))]. given #11314 (H,wt=24): 12606 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(255,a,12380,a,b,12605,a(flip))]. given #11315 (H,wt=19): 12607 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(584(a,1),12606(a,2,1,2))]. given #11316 (H,wt=21): 12609 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(21(a,1),12607(a,1,1))]. given #11317 (H,wt=21): 12610 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(255,a,9020,a(flip),b,12609,a(flip)),flip(a)]. given #11318 (H,wt=21): 12611 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(255,a,12444,a(flip),b,12610,a(flip)),flip(a)]. given #11319 (H,wt=21): 12612 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(5376(a,1),12611(a,2,1))]. given #11320 (H,wt=27): 12538 a(x,y,x) \ T(z * a(x,y,x),u) != z * w | K(z * a(x,y,x),u) = w. [para(12523(a,2),24(a,1))]. given #11321 (H,wt=27): 12600 (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). [para(12599(a,2),4449(a,1,1))]. given #11322 (H,wt=23): 12613 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). [hyper(255,a,10565,a(flip),b,12600,a(flip)),flip(a)]. given #11323 (H,wt=27): 12608 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(255,a,5911,a,b,12607,a(flip)),flip(a)]. given #11324 (H,wt=25): 12614 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(12607(a,1),12608(a,1,1))]. given #11325 (H,wt=28): 12541 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(255,a,12256,a,b,12540,a),flip(a)]. given #11326 (H,wt=23): 12616 a(L(x,y,z),T(u,L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [para(37(a,2),12541(a,1,2))]. given #11327 (H,wt=18): 12617 a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(9754,a,12616,a)]. given #11328 (H,wt=15): 12618 a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). [hyper(255,a,12504,a(flip),b,12617,a)]. given #11329 (H,wt=12): 12619 L(a(x,y,x),z,u) = a(x,y,x). [hyper(255,a,11683,a(flip),b,12618,a(flip)),flip(a)]. given #11330 (H,wt=13): 12622 a(x,y * K(z,y),x) = a(x,y,x). [hyper(255,a,12505,a,b,12619,a(flip)),flip(a)]. given #11331 (H,wt=11): 12627 a(x,T(y,z),x) = a(x,y,x). [para(5266(a,1),12622(a,1,2)),flip(a)]. given #11332 (H,wt=13): 12628 a(x,y / z,x) = a(x,z \ y,x). [para(5268(a,1),12622(a,1,2))]. given #11333 (H,wt=15): 12635 a(x,y / (z * y),x) = a(x,z \ 1,x). [hyper(255,a,11204,a(flip),b,12628,a)]. given #11334 (H,wt=17): 12624 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(12619(a,1),112(a,1,2))]. given #11335 (H,wt=9): 12637 R(x,y,a(z,u,z)) = x. [hyper(10811,a,12624,a)]. given #11336 (H,wt=17): 12638 x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). [hyper(850,a,12624,a)]. given #11337 (H,wt=18): 12639 L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)). [hyper(10352,a,12637,a)]. given #11338 (H,wt=12): 12643 T(x,y * a(z,u,z)) = T(x,y). [hyper(255,a,12509,a(flip),b,12639,a(flip))]. given #11339 (H,wt=12): 12647 T(x,a(y,z,y) \ u) = T(x,u). [para(10016(a,1),12643(a,1,2)),flip(a)]. given #11340 (H,wt=13): 12646 T(x,T(y,z) / z) = T(x,z \ y). [para(9175(a,1),12643(a,1,2))]. given #11341 (H,wt=14): 12648 T(x,a(y,z,y) \ u) = x * K(x,u). [hyper(255,a,5252,a(flip),b,12647,a)]. given #11342 (H,wt=12): 12649 K(x,a(y,z,y) \ u) = K(x,u). [hyper(5323,a,12648,a)]. given #11343 (H,wt=14): 12650 K(x,(y \ R(y,z,y)) \ u) = K(x,u). [para(9151(a,1),12649(a,1,2,1))]. given #11344 (H,wt=14): 12652 K(x,y / (z \ R(z,u,z))) = K(x,y). [para(10026(a,2),12650(a,1,2))]. given #11345 (H,wt=14): 12653 K(x,y * (z \ R(z,u,z))) = K(x,y). [para(20(a,1),12652(a,1,2)),flip(a)]. given #11346 (H,wt=12): 12654 K(x,y * a(z,u,z)) = K(x,y). [para(9152(a,1),12653(a,1,2,2))]. given #11347 (H,wt=14): 12655 K(x,y * R(z,u,z)) = K(x,y * z). [para(10066(a,1),12654(a,1,2))]. given #11348 (H,wt=15): 12645 T(x,(y * z) * y) = T(x,y * (z * y)). [para(100(a,1),12643(a,1,2))]. given #11349 (H,wt=17): 12657 K(x,y * T(z,z * u)) = K(x,y * T(z,u)). [para(4578(a,1),12655(a,1,2,2)),flip(a)]. given #11350 (H,wt=19): 12631 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(187(a,1),12627(a,1,2)),flip(a)]. given #11351 (H,wt=19): 12660 K(x,y * T(z,z * u)) = x \ T(x,y * T(z,u)). [hyper(255,a,5186,a(flip),b,12657,a)]. given #11352 (H,wt=20): 12632 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(476(a,1),12627(a,1,2)),flip(a)]. given #11353 (H,wt=20): 12661 K(x,y * T(z,z * u)) != w | K(x,y * T(z,u)) = w. [para(12660(a,2),5325(a,1))]. given #11354 (H,wt=20): 12662 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(255,a,12631,a(flip),b,12632,a(flip)),flip(a)]. given #11355 (H,wt=17): 12663 a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). [hyper(255,a,12593,a(flip),b,12662,a(flip))]. given #11356 (H,wt=21): 12642 x \ (y * (z * a(u,w,u))) = (x \ (y * z)) * a(u,w,u). [para(12624(a,1),12638(a,1,2))]. given #11357 (H,wt=23): 12651 L(K(x,y \ z),y \ z,y) = K(x,(y * (u \ R(u,w,u))) \ z). [para(12650(a,1),6989(a,1,1))]. given #11358 (H,wt=18): 12667 K(x,(y * (z \ R(z,u,z))) \ w) = K(x,y \ w). [hyper(8037,a,12651,a),flip(a)]. given #11359 (H,wt=14): 12669 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(19(a,1),12667(a,1,2,1))]. given #11360 (H,wt=16): 12670 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(10042(a,1),12667(a,1,2,1))]. given #11361 (H,wt=17): 12671 K(x,T(y,y \ z) \ u) = K(x,T(y,z) \ u). [para(4642(a,1),12669(a,1,2,1))]. given #11362 (H,wt=17): 12672 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(7731(a,1),12669(a,1,2,1))]. given #11363 (H,wt=17): 12674 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(9169(a,1),12670(a,1,2,1))]. given #11364 (H,wt=17): 12677 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(19(a,1),12674(a,1,2,1,1)),flip(a)]. given #11365 (H,wt=13): 12678 K(x,T(y,z) \ z) = K(x,z / y). [hyper(255,a,8412,a(flip),b,12677,a(flip))]. given #11366 (H,wt=13): 12679 K(x,y \ T(z,y)) = K(x,z / y). [para(4458(a,1),12678(a,1,2))]. given #11367 (H,wt=19): 12675 K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). [hyper(255,a,12671,a,b,12672,a),flip(a)]. given #11368 (H,wt=21): 12676 K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. [hyper(255,a,6670,a,b,12672,a)]. given #11369 (H,wt=20): 12680 K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. [para(12676(a,2),6693(a,1))]. given #11370 (H,wt=22): 12673 L(K(x,y \ z),z,a(u,w,u)) = K(x,y \ (a(u,w,u) * z)). [hyper(7063,a,12670,a)]. given #11371 (H,wt=16): 12681 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [hyper(255,a,12509,a(flip),b,12673,a(flip))]. given #11372 (H,wt=17): 12683 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(9169(a,1),12681(a,1,2,2))]. given #11373 (H,wt=18): 12684 K(x,y \ (z * x)) != u | K(x,y \ (x * z)) = u. [para(12683(a,1),8670(a,1))]. given #11374 (H,wt=18): 12685 K(x,(x \ y) \ z) != u | K(x,y \ (x * z)) = u. [para(7247(a,2),12684(a,1))]. given #11375 (H,wt=23): 12665 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(12663(a,1),10044(a,1,2,1)),flip(a)]. given #11376 (H,wt=17): 12686 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [hyper(255,a,10044,a(flip),b,12665,a)]. given #11377 (H,wt=25): 12659 T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). [para(5959(a,1),12645(a,1,2)),flip(a)]. given #11378 (H,wt=15): 12687 T(x,(y / z) * y) = T(x,y * (z \ y)). [para(5166(a,1),12659(a,1,2,2))]. given #11379 (H,wt=26): 12641 ((a(x,y,x) * z) \ (z * u)) * a(x,y,x) != w | L(u,z,a(x,y,x)) = w. [para(12638(a,1),10038(a,1))]. given #11380 (H,wt=28): 12666 ((a(x,y,x) * z) \ (z * u)) * a(x,y,x) = L(T(u,a(x,y,x)),a(x,y,x),z). [hyper(10041,a,12642,a),flip(a)]. given #11381 (H,wt=20): 12688 L(T(x,a(y,z,y)),a(y,z,y),u) = L(x,u,a(y,z,y)). [hyper(12641,a,12666,a),flip(a)]. given #11382 (H,wt=15): 12689 L(x,a(y,z,y),u) = L(x,u,a(y,z,y)). [para(10019(a,1),12688(a,1,1))]. given #11383 (H,wt=9): 12690 L(x,a(y,z,y),u) = x. [hyper(255,a,12509,a(flip),b,12689,a)]. given #11384 (H,wt=17): 12692 (x * a(y,z,y)) \ u = a(y,z,y) \ (x \ u). [hyper(255,a,241,a(flip),b,12690,a(flip)),flip(a)]. given #11385 (H,wt=17): 12693 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [para(12690(a,1),112(a,1,2))]. given #11386 (H,wt=9): 12695 R(x,a(y,z,y),u) = x. [hyper(5091,a,12693,a)]. given #11387 (H,wt=17): 12694 (a(x,y,x) * z) \ u = a(x,y,x) \ (z \ u). [para(10017(a,2),12692(a,1,1))]. given #11388 (H,wt=29): 12698 T((a(x,y,x) * z) \ (u * z),a(x,y,x)) = T(a(x,y,x) \ u,a(x,y,x) * z). [hyper(255,a,919,a(flip),b,12695,a(flip)),flip(a)]. given #11389 (H,wt=24): 12700 T(a(x,y,x) \ z,a(x,y,x) * u) = (a(x,y,x) * u) \ (z * u). [hyper(255,a,10019,a(flip),b,12698,a(flip))]. given #11390 (H,wt=24): 12702 T(a(x,y,x) \ z,u * a(x,y,x)) = (a(x,y,x) * u) \ (z * u). [para(10017(a,1),12700(a,1,2))]. given #11391 (H,wt=24): 12703 T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ (u \ (z * u)). [hyper(255,a,12694,a(flip),b,12702,a)]. given #11392 (H,wt=22): 12704 T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ T(z,u). [para(37(a,2),12703(a,2,2))]. given #11393 (H,wt=17): 12705 a(x,y,x) \ T(z,u) = T(a(x,y,x) \ z,u). [hyper(255,a,12643,a(flip),b,12704,a(flip))]. given #11394 (H,wt=22): 12707 K(x,y) * T(a(x,y,x) \ z,u) = K(x,x * y) * T(z,u). [para(12705(a,1),9806(a,1,2))]. given #11395 (H,wt=22): 12708 K(x,x * y) * T(a(x,y,x) * z,u) = K(x,y) * T(z,u). [para(18(a,1),12707(a,1,2,1)),flip(a)]. given #11396 (H,wt=17): 12709 T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). [hyper(9807,a,12708,a),flip(a)]. given #11397 (H,wt=17): 12711 T(x * a(y,z,y),u) = a(y,z,y) * T(x,u). [para(10017(a,1),12709(a,1,1))]. given #11398 (H,wt=17): 12712 a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u). [hyper(80,a,12711,a,b,xx)]. given #11399 (H,wt=19): 12713 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z,u). [hyper(255,a,5252,a(flip),b,12712,a)]. given #11400 (H,wt=12): 12715 K(x * a(y,z,y),u) = K(x,u). [hyper(12538,a,12713,a)]. given #11401 (H,wt=12): 12716 K(a(x,y,x) * z,u) = K(z,u). [para(10017(a,2),12715(a,1,1))]. given #11402 (H,wt=24): 12714 a(x,y,x) * T(z,u) != w * v5 | w \ T(z * a(x,y,x),u) = v5. [para(12712(a,1),368(a,1,2))]. given #11403 (H,wt=30): 12511 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(12509(a,1),425(a,1,2,1)),flip(a)]. given #11404 (H,wt=30): 12719 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(12506(a,1),12511(a,2,1))]. given #11405 (H,wt=30): 12720 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(255,a,12510,a(flip),b,12719,a)]. given #11406 (H,wt=25): 12721 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(35(a,2),12720(a,2,2))]. given #11407 (H,wt=19): 12722 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(12509(a,1),12721(a,1,2))]. given #11408 (H,wt=31): 12519 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(12506(a,1),29(a,2,1)),flip(a)]. given #11409 (H,wt=31): 12539 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(255,a,11519,a(flip),b,12518,a(flip)),flip(a)]. given #11410 (H,wt=30): 12725 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(5436(a,1),12539(a,2,2))]. given #11411 (H,wt=25): 12726 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(9179,a,12725,a)]. given #11412 (H,wt=22): 12727 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(12619(a,1),12726(a,1,1))]. given #11413 (H,wt=22): 12728 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(255,a,12628,a(flip),b,12727,a)]. given #11414 (H,wt=17): 12730 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(33(a,2),12728(a,2,2))]. given #11415 (H,wt=12): 12731 a(x,L(y,z,u),x) = a(x,y,x). [hyper(255,a,12619,a(flip),b,12730,a(flip))]. given #11416 (H,wt=14): 12735 R(x,L(y,z,u),x) = x * a(x,y,x). [para(12731(a,1),9159(a,1,2)),flip(a)]. given #11417 (H,wt=12): 12736 R(x,L(y,z,u),x) = R(x,y,x). [hyper(255,a,9159,a(flip),b,12735,a)]. given #11418 (H,wt=17): 12733 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(241(a,1),12731(a,1,2))]. given #11419 (H,wt=17): 12734 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [para(1977(a,2),12731(a,1,2)),flip(a)]. given #11420 (H,wt=19): 12738 L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. [para(12734(a,1),9366(a,1,1)),flip(a)]. given #11421 (H,wt=17): 12739 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [hyper(255,a,9366,a(flip),b,12738,a)]. given #11422 (H,wt=31): 12724 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(12506(a,1),12519(a,1,2,1))]. given #11423 (H,wt=31): 12740 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(12506(a,1),12724(a,1,2))]. given #11424 (H,wt=24): 12741 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(754,a,12740,a)]. given #11425 (H,wt=14): 12742 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(255,a,12509,a(flip),b,12741,a(flip))]. given #11426 (H,wt=14): 12744 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(19(a,1),12742(a,1,1)),flip(a)]. given #11427 (H,wt=15): 12745 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(9185(a,1),12742(a,1,1))]. given #11428 (H,wt=15): 12746 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(9150(a,1),12742(a,1,1))]. given #11429 (H,wt=15): 12747 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(9149(a,1),12744(a,1,1))]. given #11430 (H,wt=17): 12748 a(K(x \ 1,y),z,u) = a(K(x \ y,y),z,u). [para(9173(a,1),12744(a,1,1))]. given #11431 (H,wt=17): 12749 a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u). [para(19(a,1),12745(a,1,1,1))]. given #11432 (H,wt=15): 12751 a(K(x,y \ x),z,u) = a(K(y,x),z,u). [hyper(255,a,12746,a(flip),b,12749,a)]. given #11433 (H,wt=15): 12752 a(K(x \ y,y),z,u) = a(K(y,x),z,u). [para(5584(a,1),12751(a,1,1)),flip(a)]. given #11434 (H,wt=15): 12753 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [hyper(255,a,12748,a,b,12752,a(flip)),flip(a)]. given #11435 (H,wt=15): 12754 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(3312(a,1),12753(a,1,1)),flip(a)]. given #11436 (H,wt=19): 12750 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(255,a,12612,a,b,12747,a(flip)),flip(a)]. given #11437 (H,wt=21): 12756 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(255,a,12201,a,b,12754,a(flip)),flip(a)]. given #11438 (H,wt=21): 12757 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(12565(a,1),12754(a,2,1))]. given #11439 (H,wt=19): 12761 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(255,a,12754,a(flip),b,12757,a(flip)),flip(a)]. given #11440 (H,wt=27): 12755 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(11344(a,2),12753(a,2,1)),flip(a)]. given #11441 (H,wt=25): 12762 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6387(a,1),12755(a,2,1))]. given #11442 (H,wt=23): 12763 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(255,a,12753,a(flip),b,12762,a)]. given #11443 (H,wt=21): 12764 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(11344(a,1),12763(a,1,1))]. given #11444 (H,wt=21): 12765 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(255,a,12761,a(flip),b,12764,a)]. given #11445 (H,wt=27): 12760 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(255,a,12255,a,b,12757,a(flip)),flip(a)]. given #11446 (H,wt=19): 12766 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(12756(a,1),12760(a,1,1)),flip(a)]. given #11447 (H,wt=25): 12767 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(255,a,12614,a(flip),b,12766,a)]. given #11448 (H,wt=23): 12768 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(255,a,12765,a(flip),b,12767,a(flip)),flip(a)]. given #11449 (H,wt=32): 12737 L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(12736(a,1),12347(a,1,2,1))]. given #11450 (H,wt=29): 12769 L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(12736(a,1),12737(a,1,2,2,1))]. given #11451 (H,wt=29): 12771 L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4563(a,2),12769(a,1,2))]. given #11452 (H,wt=28): 12773 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4621(a,1),12771(a,1,2,2))]. given #11453 (H,wt=26): 12774 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(12435(a,1),12773(a,1,2))]. given #11454 (H,wt=21): 12775 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(716(a,1),12774(a,1,2)),flip(a)]. given #11455 (H,wt=19): 12776 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(255,a,10085,a(flip),b,12775,a(flip)),flip(a)]. given #11456 (H,wt=26): 12777 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(80,a,12776,a(flip),b,5252,a(flip))]. given #11457 (H,wt=21): 12778 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(9146,a,12777,a),flip(a)]. given #11458 (H,wt=17): 12779 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(255,a,11633,a(flip),b,12778,a)]. given #11459 (H,wt=22): 12780 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(21(a,1),12779(a,1,1))]. given #11460 (H,wt=22): 12781 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(255,a,7101,a(flip),b,12780,a(flip)),flip(a)]. given #11461 (H,wt=19): 12782 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(11579(a,1),12781(a,2,3))]. given #11462 (H,wt=17): 12783 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(255,a,11707,a(flip),b,12782,a)]. given #11463 (H,wt=17): 12785 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(255,a,11002,a(flip),b,12783,a(flip)),flip(a)]. given #11464 (H,wt=21): 12788 K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w). [para(12785(a,1),5605(a,1,2,1)),flip(a)]. given #11465 (H,wt=17): 12789 K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). [hyper(255,a,10206,a(flip),b,12788,a)]. given #11466 (H,wt=21): 12790 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [para(12789(a,1),11709(a,1,3)),flip(a)]. given #11467 (H,wt=21): 12791 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [hyper(255,a,11723,a(flip),b,12790,a(flip)),flip(a)]. given #11468 (H,wt=24): 12787 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(21(a,1),12785(a,1,2))]. given #11469 (H,wt=24): 12794 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(6939,a,12787,a)]. given #11470 (H,wt=24): 12795 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(255,a,11019,a(flip),b,12794,a(flip)),flip(a)]. given #11471 (H,wt=21): 12796 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(11582(a,1),12795(a,2,3))]. given #11472 (H,wt=17): 12797 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(73(a,1),12796(a,2,3,1))]. given #11473 (H,wt=21): 12800 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(12797(a,1),5605(a,1,2,1)),flip(a)]. given #11474 (H,wt=17): 12801 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(255,a,10206,a(flip),b,12800,a)]. given #11475 (H,wt=19): 12802 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(12801(a,1),5252(a,2,2))]. given #11476 (H,wt=27): 12792 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(12790(a,1),9958(a,1,2))]. given #11477 (H,wt=17): 12803 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(9970(a,1),12792(a,1,2)),flip(a)]. given #11478 (H,wt=15): 12804 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(255,a,17,a(flip),b,12803,a)]. given #11479 (H,wt=19): 12806 K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). [para(12804(a,1),5605(a,1,2,1)),flip(a)]. given #11480 (H,wt=15): 12807 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(255,a,5605,a(flip),b,12806,a)]. given #11481 (H,wt=17): 12808 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(12807(a,1),5252(a,2,2))]. given #11482 (H,wt=15): 12809 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(255,a,5252,a,b,12808,a)]. given #11483 (H,wt=32): 12758 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(255,a,6782,a(flip),b,12750,a(flip)),flip(a)]. given #11484 (H,wt=32): 12793 a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). [para(12791(a,1),11912(a,1,1))]. given #11485 (H,wt=22): 12810 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(9971(a,1),12793(a,1,1))]. given #11486 (H,wt=20): 12811 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(83,a,12810,a)]. given #11487 (H,wt=17): 12813 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(255,a,7105,a(flip),b,12811,a(flip)),flip(a)]. given #11488 (H,wt=19): 12815 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(12813(a,1),5252(a,2,2)),flip(a)]. given #11489 (H,wt=17): 12818 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(5255,a,12815,a),flip(a)]. given #11490 (H,wt=22): 12817 K(x,K(y,z \ L(z,u,w))) != v5 | K(x,K(y,a(w,u,z))) = v5. [para(12813(a,1),8447(a,1,2))]. given #11491 (H,wt=27): 12819 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(12818(a,2),542(a,1,1))]. given #11492 (H,wt=25): 12821 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(255,a,12802,a(flip),b,12819,a)]. given #11493 (H,wt=33): 12443 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). [para(2142(a,1),12407(a,1,1)),flip(a)]. given #11494 (H,wt=31): 12822 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). [para(59(a,1),12443(a,2,1,2,2,1,2))]. given #11495 (H,wt=29): 12823 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). [para(16(a,1),12822(a,2,1,2))]. given #11496 (H,wt=30): 12824 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. [para(12823(a,2),8560(a,1))]. given #11497 (H,wt=35): 12723 T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(12722(a,2),12367(a,1,1,2))]. given #11498 (H,wt=21): 12825 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(19(a,1),12723(a,1,1,2,1)),flip(a)]. given #11499 (H,wt=28): 12826 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(12825(a,1),12758(a,1,1))]. given #11500 (H,wt=24): 12827 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(18(a,1),12826(a,1,2))]. given #11501 (H,wt=17): 12828 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(5281,a,12827,a),flip(a)]. given #11502 (H,wt=21): 12830 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(12828(a,1),12240(a,2,2))]. given #11503 (H,wt=19): 12831 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(255,a,12579,a(flip),b,12830,a(flip))]. given #11504 (H,wt=21): 12832 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(255,a,9527,a,b,12831,a(flip)),flip(a)]. given #11505 (H,wt=21): 12833 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(8138(a,2),12832(a,2,1))]. given #11506 (H,wt=19): 12834 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(9717,a,12833,a)]. given #11507 (H,wt=26): 12835 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(255,a,10140,a(flip),b,12834,a(flip)),flip(a)]. given #11508 (H,wt=26): 12836 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(8154(a,1),12835(a,2,1))]. given #11509 (H,wt=23): 12838 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(9316(a,1),12836(a,2,1))]. given #11510 (H,wt=22): 12839 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(10160,a,12838,a)]. given #11511 (H,wt=23): 12842 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(255,a,10791,a(flip),b,12839,a(flip)),flip(a)]. given #11512 (H,wt=36): 12636 a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). [para(11216(a,1),12635(a,1,2,2)),flip(a)]. given #11513 (H,wt=34): 12844 a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). [hyper(11032,a,12636,a)]. given #11514 (H,wt=34): 12845 a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). [hyper(255,a,12733,a(flip),b,12844,a(flip)),flip(a)]. given #11515 (H,wt=29): 12846 a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). [para(33(a,2),12845(a,1,2,2))]. given #11516 (H,wt=29): 12847 a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(5123(a,1),12846(a,1,2))]. given #11517 (H,wt=23): 12848 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(255,a,11239,a(flip),b,12847,a(flip)),flip(a)]. given #11518 (H,wt=23): 12849 a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). [hyper(255,a,12628,a(flip),b,12848,a),flip(a)]. given #11519 (H,wt=19): 12851 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(152(a,1),12849(a,1,2,2))]. given #11520 (H,wt=36): 12710 (x * (y * T(a(z,u,z) * (a(z,u,z) \ (y \ (x \ w))),v5))) \ w = K(v5,(x * (y * a(z,u,z))) \ w). [para(12709(a,2),7094(a,1,1,2,2))]. given #11521 (H,wt=26): 12853 K(x,(y * (z * a(u,w,u))) \ v5) = (y * (z * T(z \ (y \ v5),x))) \ v5. [para(19(a,1),12710(a,1,1,2,2,1)),flip(a)]. given #11522 (H,wt=20): 12854 K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). [hyper(255,a,6827,a(flip),b,12853,a)]. given #11523 (H,wt=18): 12857 K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w). [para(9377(a,1),12854(a,1,2,1)),flip(a)]. given #11524 (H,wt=21): 12856 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(9181(a,1),12854(a,1,2,1,2))]. given #11525 (H,wt=38): 12400 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * L(K(y * x,T(z,y)),y,x). [para(12398(a,1),8867(a,2,2))]. given #11526 (H,wt=35): 12858 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (y * K(y * x,T(z,y))). [hyper(255,a,112,a(flip),b,12400,a)]. given #11527 (H,wt=33): 12859 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7559(a,1),12858(a,2,2))]. given #11528 (H,wt=31): 12860 K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(127(a,1),12859(a,1,1,2,2,1))]. given #11529 (H,wt=29): 12861 K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(8396(a,1),12860(a,1,1,2))]. given #11530 (H,wt=25): 12862 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7553(a,1),12861(a,1,1))]. given #11531 (H,wt=23): 12863 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(127(a,1),12862(a,1,2,1,1,1))]. given #11532 (H,wt=28): 12865 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(12863(a,1),5347(a,1,2)),flip(a)]. given #11533 (H,wt=26): 12866 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [hyper(255,a,5559,a(flip),b,12865,a)]. given #11534 (H,wt=21): 12867 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(255,a,4398,a(flip),b,12866,a(flip))]. given #11535 (H,wt=19): 12869 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(255,a,9288,a(flip),b,12867,a(flip))]. given #11536 (H,wt=21): 12870 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(12869(a,2),8614(a,1,1))]. given #11537 (H,wt=21): 12871 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(12413(a,1),12870(a,1,1,1))]. given #11538 (H,wt=38): 12471 K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). [para(5845(a,2),12470(a,2,2))]. given #11539 (H,wt=33): 12873 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(33(a,2),12471(a,1,2,2,2)),flip(a)]. given #11540 (H,wt=39): 12872 T(x * K(x * ((y * z) \ z),y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(6433(a,2),12871(a,1,2,2))]. given #11541 (H,wt=40): 12786 ((x * (L(y,z,u) \ y)) / ((x * (L(y,z,u) \ y)) / x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [hyper(255,a,6333,a(flip),b,12785,a(flip)),flip(a)]. given #11542 (H,wt=31): 12874 (x * K(L(y,z,u) \ y,x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [para(5165(a,1),12786(a,1,1))]. given #11543 (H,wt=27): 12875 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [para(18(a,1),12874(a,1,2,2))]. given #11544 (H,wt=25): 12877 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(12739(a,1),12875(a,1,2))]. given #11545 (H,wt=25): 12878 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(255,a,5849,a(flip),b,12877,a(flip)),flip(a)]. given #11546 (H,wt=23): 12879 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(255,a,7709,a(flip),b,12878,a(flip)),flip(a)]. given #11547 (H,wt=21): 12880 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(12809(a,1),12879(a,1,2,1))]. given #11548 (H,wt=15): 12881 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(5491,a,12880,a)]. given #11549 (H,wt=42): 12759 ((x * (y \ R(y,z,u))) / ((x * (y \ R(y,z,u))) / x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [hyper(255,a,6333,a(flip),b,12750,a(flip)),flip(a)]. given #11550 (H,wt=33): 12882 (x * K(y \ R(y,z,u),x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [para(5165(a,1),12759(a,1,1))]. given #11551 (H,wt=29): 12883 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [para(18(a,1),12882(a,1,2,2))]. given #11552 (H,wt=44): 12508 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (a(u,z,u) * (K(z,u) * y)) \ (K(u * z,u) * (y * x)). [para(12501(a,1),9186(a,1,1,1)),flip(a)]. given #11553 (H,wt=44): 12885 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (L(T(u,z),z,u) \ y)) \ (K(u * z,u) * (y * x)). [para(10188(a,1),12508(a,2,1))]. given #11554 (H,wt=43): 12887 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (T(u,u * z) \ y)) \ (K(u * z,u) * (y * x)). [para(542(a,1),12885(a,2,1,2,1))]. given #11555 (H,wt=41): 12888 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (K(u * z,u) * y) \ (K(u * z,u) * (y * x)). [para(5225(a,1),12887(a,2,1))]. given #11556 (H,wt=32): 12889 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = L(x,y,K(u * z,u)). [hyper(255,a,33,a,b,12888,a)]. given #11557 (H,wt=25): 12890 L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). [para(12501(a,1),12889(a,1,3))]. given #11558 (H,wt=15): 12891 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [hyper(255,a,12509,a(flip),b,12890,a(flip))]. given #11559 (H,wt=15): 12894 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(19(a,1),12891(a,1,3,1)),flip(a)]. given #11560 (H,wt=10): 12895 L(x,y / z,K(y,z)) = x. [hyper(255,a,7635,a(flip),b,12894,a(flip))]. given #11561 (H,wt=17): 12896 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(12895(a,1),5702(a,1,2)),flip(a)]. given #11562 (H,wt=17): 12897 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5622,a,12896,a)]. given #11563 (H,wt=12): 12898 R(K(x,y),x \ y,z) = K(x,y). [hyper(9574,a,12897,a)]. given #11564 (H,wt=14): 12899 R(K(x,x * y),y,z) = K(x,x * y). [para(18(a,1),12898(a,1,2))]. given #11565 (H,wt=16): 12901 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(255,a,11966,a,b,12899,a(flip)),flip(a)]. given #11566 (H,wt=18): 12902 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(12899(a,1),10515(a,2,2))]. given #11567 (H,wt=16): 12905 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(255,a,5252,a,b,12902,a)]. given #11568 (H,wt=15): 12907 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(255,a,4903,a(flip),b,12905,a(flip)),flip(a)]. given #11569 (H,wt=15): 12908 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(21(a,1),12907(a,1,2,1,2))]. given #11570 (H,wt=15): 12909 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(255,a,8918,a,b,12908,a(flip)),flip(a)]. given #11571 (H,wt=17): 12910 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(255,a,5252,a(flip),b,12909,a),flip(a)]. given #11572 (H,wt=15): 12911 K(x,(x * y) / z) = K(x,x * (y / z)). [hyper(22,a,8718,a,b,12910,a),flip(a)]. given #11573 (H,wt=15): 12912 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(22,a,5252,a(flip),b,12910,a),flip(a)]. given #11574 (H,wt=15): 12913 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(6392,a,12911,a)]. given #11575 (H,wt=23): 12914 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(12912(a,1),8289(a,1,1,2))]. given #11576 (H,wt=19): 12916 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(255,a,8289,a(flip),b,12914,a(flip))]. given #11577 (H,wt=19): 12917 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(255,a,8962,a(flip),b,12916,a(flip)),flip(a)]. given #11578 (H,wt=19): 12918 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(9930,a,12917,a)]. given #11579 (H,wt=23): 12915 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(12913(a,1),7208(a,1,1))]. given #11580 (H,wt=21): 12919 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(255,a,7208,a(flip),b,12915,a(flip))]. given #11581 (H,wt=24): 12904 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(12901(a,1),11971(a,1,1))]. given #11582 (H,wt=24): 12920 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(255,a,12913,a(flip),b,12904,a)]. given #11583 (H,wt=19): 12922 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(35(a,2),12920(a,2,2,2))]. given #11584 (H,wt=19): 12923 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(12564,a,12922,a)]. given #11585 (H,wt=45): 12586 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))). [para(12585(a,1),12357(a,1,2)),flip(a)]. given #11586 (H,wt=45): 12924 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). [hyper(255,a,7337,a(flip),b,12586,a)]. given #11587 (H,wt=43): 12925 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). [para(9253(a,1),12924(a,2,1,2))]. given #11588 (H,wt=43): 12926 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). [para(7842(a,1),12925(a,2,1))]. given #11589 (H,wt=41): 12927 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). [para(3315(a,1),12926(a,2,1,1))]. given #11590 (H,wt=39): 12928 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). [para(6667(a,1),12927(a,2,2))]. given #11591 (H,wt=46): 12466 K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). [para(11980(a,1),12416(a,1,1,1))]. given #11592 (H,wt=44): 12929 K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(5998(a,1),12466(a,1,1))]. given #11593 (H,wt=36): 12930 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(19(a,1),12929(a,1,2,2,1,2))]. given #11594 (H,wt=34): 12932 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(9267(a,1),12930(a,1,2))]. given #11595 (H,wt=34): 12933 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(12918(a,1),12932(a,1,2))]. given #11596 (H,wt=30): 12934 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(7801(a,1),12933(a,1,2)),flip(a)]. given #11597 (H,wt=23): 12935 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(255,a,5540,a(flip),b,12934,a)]. given #11598 (H,wt=13): 12936 L(x,y / z,x) = L(x,z \ y,x). [hyper(255,a,11187,a(flip),b,12935,a(flip))]. given #11599 (H,wt=13): 12938 L(x,(y \ z) \ z,x) = L(x,y,x). [para(70(a,1),12936(a,1,2)),flip(a)]. given #11600 (H,wt=13): 12941 L(x,y * K(z,y),x) = L(x,y,x). [para(6145(a,1),12938(a,1,2)),flip(a)]. given #11601 (H,wt=19): 12943 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5986(a,1),12941(a,1,2))]. given #11602 (H,wt=24): 12940 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(5427(a,2),12936(a,1,2))]. given #11603 (H,wt=20): 12944 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(255,a,12943,a(flip),b,12940,a(flip))]. given #11604 (H,wt=16): 12946 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(255,a,12686,a(flip),b,12944,a(flip))]. given #11605 (H,wt=12): 12948 L(x,R(y,z,u),x) = L(x,y,x). [para(18(a,1),12946(a,2,2))]. given #11606 (H,wt=29): 12939 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(4038(a,2),12936(a,1,2))]. given #11607 (H,wt=22): 12949 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(29(a,2),12939(a,2,2))]. given #11608 (H,wt=17): 12950 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(255,a,12948,a(flip),b,12949,a(flip)),flip(a)]. given #11609 (H,wt=27): 12952 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(12950(a,1),12883(a,1,2))]. given #11610 (H,wt=27): 12953 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(255,a,5849,a(flip),b,12952,a(flip)),flip(a)]. given #11611 (H,wt=27): 12954 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(12828(a,2),12953(a,1,1))]. given #11612 (H,wt=25): 12955 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(255,a,10056,a(flip),b,12954,a(flip)),flip(a)]. given #11613 (H,wt=46): 12468 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / ((x * (y * K(z,u))) / L(K(z,u),y,x)). [para(12461(a,1),5466(a,1,2,2)),flip(a)]. given #11614 (H,wt=35): 12956 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / (x * y). [para(143(a,1),12468(a,2,2))]. given #11615 (H,wt=31): 12957 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(x * y,K(z,u)). [hyper(255,a,5242,a,b,12956,a)]. given #11616 (H,wt=31): 12959 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(z,K(u,x * y)). [hyper(255,a,8138,a,b,12957,a)]. given #11617 (H,wt=26): 12960 K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). [para(12480(a,1),12959(a,1,2))]. given #11618 (H,wt=26): 12961 K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). [hyper(9006,a,12960,a)]. given #11619 (H,wt=26): 12962 K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(8136,a,12961,a)]. given #11620 (H,wt=22): 12963 K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(255,a,7617,a(flip),b,12962,a(flip)),flip(a)]. given #11621 (H,wt=18): 12965 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(5388(a,1),12963(a,1,2))]. given #11622 (H,wt=46): 12633 a(1 / ((x * y) \ x),z,1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(12627(a,1),9187(a,1,1))]. given #11623 (H,wt=46): 12966 a(((x * y) \ x) \ 1,z,((x * y) \ x) \ 1) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(10641(a,1),12633(a,1,1))]. given #11624 (H,wt=52): 12381 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),K(z,L(y,u,x))) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(11600(a,1),12027(a,1,2,2))]. given #11625 (H,wt=44): 12968 (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * (K(z,u) * y))) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). [hyper(255,a,12454,a(flip),b,12381,a(flip)),flip(a)]. given #11626 (H,wt=40): 12969 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * u)). [para(10134(a,1),12968(a,1,2,2)),flip(a)]. given #11627 (H,wt=40): 12970 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(x * u,L(y,u,x))). [para(8154(a,1),12969(a,2,2))]. given #11628 (H,wt=37): 12972 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(y,x * u)). [para(12965(a,1),12970(a,2,2))]. given #11629 (H,wt=37): 12973 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(8134(a,1),12972(a,2,2))]. given #11630 (H,wt=37): 12974 T(x * (K(y,z) * u),K(z,L(y,u,x))) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(11600(a,1),12973(a,1,1,2))]. given #11631 (H,wt=37): 12975 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(z,L(y,u,x))) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [hyper(255,a,10792,a,b,12974,a(flip)),flip(a)]. given #11632 (H,wt=30): 12976 (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T(x * T(y,K(z,u)),K(u,L(z,y,x))). [para(12026(a,1),12975(a,1,1)),flip(a)]. given #11633 (H,wt=57): 9582 (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(8793(a,1),5897(a,1,2,1))]. given #11634 (H,wt=57): 12977 (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(6125(a,1),9582(a,1,1,1))]. given #11635 (H,wt=58): 12852 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(12851(a,1),10327(a,1,1,2))]. given #11636 (H,wt=56): 12978 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(1990(a,1),12852(a,2,1))]. given #11637 (H,wt=38): 12979 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [hyper(255,a,12637,a(flip),b,12978,a)]. given #11638 (H,wt=36): 12981 ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [para(10066(a,1),12979(a,1,1))]. given #11639 (H,wt=25): 12982 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(255,a,10567,a(flip),b,12981,a(flip)),flip(a)]. given #11640 (H,wt=17): 12983 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(255,a,12821,a(flip),b,12982,a(flip))]. given #11641 (H,wt=17): 12984 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(12983(a,2),12003(a,1,1))]. given #11642 (H,wt=17): 12986 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(5829,a,12984,a)]. given #11643 (H,wt=21): 12985 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(12983(a,2),12330(a,1,1))]. given #11644 (H,wt=21): 12988 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(5829,a,12985,a)]. given #11645 (H,wt=35): 12987 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (1 / u))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(4912(a,1),12986(a,1,1))]. given #11646 (H,wt=35): 12989 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(11214(a,1),12987(a,1,2,1))]. given #11647 (H,wt=25): 12990 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(255,a,12986,a(flip),b,12989,a(flip))]. given #11648 (H,wt=62): 10211 K(1 / x,x) \ (R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)) * ((u * (1 / (1 / L(x,y,z)))) / u)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). [para(7062(a,1),6226(a,1,2,2,1,2))]. given #11649 (H,wt=52): 12991 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * ((x * (1 / (1 / L(y,z,u)))) / x)). [para(4865(a,1),10211(a,1,2,1)),flip(a)]. given #11650 (H,wt=52): 12992 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * (1 / (1 / ((x * L(y,z,u)) / x)))). [para(2312(a,1),12991(a,2,2,2))]. given #11651 (H,wt=65): 10227 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(6511,a,10226,a)]. given #11652 (H,wt=63): 12994 (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5127(a,1),10227(a,1,2,1,2,2,2))]. given #11653 (H,wt=61): 12995 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4896(a,1),12994(a,1,2,1,2,2))]. given #11654 (H,wt=61): 12996 (x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8134(a,1),12995(a,1,2,1))]. given #11655 (H,wt=59): 12997 (x \ 1) * (K(y,K(x \ 1,T(z,L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8839(a,1),12996(a,1,2,1,2))]. given #11656 (H,wt=54): 12998 (x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7780(a,1),12997(a,1,2,1,2))]. given #11657 (H,wt=52): 13000 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8456(a,1),12998(a,1,2,1))]. given #11658 (H,wt=50): 13001 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5127(a,1),13000(a,1,2,2,1,2,1,2,2))]. given #11659 (H,wt=48): 13002 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4896(a,1),13001(a,1,2,2,1,2,1,2))]. given #11660 (H,wt=48): 13003 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8100(a,1),13002(a,1,2,2,1,2))]. given #11661 (H,wt=46): 13004 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10233(a,1),13003(a,1,2,2,1,2,2))]. given #11662 (H,wt=41): 13005 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7576(a,1),13004(a,1,2,2,1,2,2))]. given #11663 (H,wt=39): 13007 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8444(a,1),13005(a,1,2,2,1,2))]. given #11664 (H,wt=39): 13008 (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5333(a,1),13007(a,1,2,2,1))]. given #11665 (H,wt=39): 13009 (x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(9708(a,2),13008(a,1,2))]. given #11666 (H,wt=35): 13010 K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(255,a,9704,a(flip),b,13009,a(flip)),flip(a)]. given #11667 (H,wt=33): 13011 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(1601(a,1),13010(a,1,2)),flip(a)]. given #11668 (H,wt=31): 13012 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(255,a,8179,a(flip),b,13011,a)]. given #11669 (H,wt=25): 13013 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1150(a,1),13012(a,1,1)),flip(a)]. given #11670 (H,wt=29): 13014 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(255,a,12161,a,b,13013,a(flip)),flip(a)]. given #11671 (H,wt=23): 13015 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1150(a,1),13014(a,1,1))]. given #11672 (H,wt=30): 13016 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). [para(13015(a,1),12270(a,1,2))]. given #11673 (H,wt=23): 13017 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(12271,a,13016,a),flip(a)]. given #11674 (H,wt=23): 13018 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(255,a,8138,a,b,13017,a)]. given #11675 (H,wt=23): 13019 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(255,a,11535,a(flip),b,13018,a(flip)),flip(a)]. given #11676 (H,wt=23): 13020 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(255,a,8134,a,b,13019,a)]. given #11677 (H,wt=23): 13021 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(11536,a,13020,a)]. given #11678 (H,wt=31): 13022 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(255,a,12873,a,b,13021,a(flip)),flip(a)]. given #11679 (H,wt=29): 13023 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,12010,a(flip),b,13022,a)]. given #11680 (H,wt=23): 13024 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(8347,a,13023,a)]. given #11681 (H,wt=23): 13026 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,8130,a,b,13024,a(flip)),flip(a)]. given #11682 (H,wt=26): 13025 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(13023(a,1),8347(a,1))]. given #11683 (H,wt=39): 13027 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). [hyper(255,a,12369,a,b,13026,a(flip)),flip(a)]. given #11684 (H,wt=29): 13028 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(9497,a,13027,a)]. given #11685 (H,wt=23): 13029 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,12842,a(flip),b,13028,a(flip)),flip(a)]. given #11686 (H,wt=21): 13030 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(9468(a,1),13029(a,1,1)),flip(a)]. given #11687 (H,wt=12): 13031 K(x,K(y * z,a(y,z,u))) = 1. [hyper(255,a,11109,a(flip),b,13030,a)]. given #11688 (H,wt=14): 13032 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(13025,a,13031,a)]. given #11689 (H,wt=22): 13035 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. [para(13032(a,1),9927(a,1,2)),flip(a)]. given #11690 (H,wt=20): 13036 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(255,a,17,a(flip),b,13035,a)]. given #11691 (H,wt=23): 13038 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(255,a,9565,a,b,13036,a(flip)),flip(a)]. given #11692 (H,wt=23): 13039 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(12828(a,2),13038(a,1,1))]. given #11693 (H,wt=23): 13040 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(255,a,12766,a,b,13039,a(flip)),flip(a)]. given #11694 (H,wt=15): 13041 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(255,a,12768,a(flip),b,13040,a(flip)),flip(a)]. given #11695 (H,wt=23): 13043 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(13041(a,1),12955(a,1,2))]. given #11696 (H,wt=23): 13044 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(K(x,y),z * y,u). [hyper(255,a,10062,a(flip),b,13043,a(flip)),flip(a)]. given #11697 (H,wt=17): 13045 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(5491,a,13044,a)]. given #11698 (H,wt=15): 13046 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(255,a,13041,a(flip),b,13045,a)]. given #11699 (H,wt=13): 13048 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(255,a,12881,a(flip),b,13046,a(flip)),flip(a)]. given #11700 (H,wt=15): 13047 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(255,a,12577,a(flip),b,13045,a)]. given #11701 (H,wt=13): 13049 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(255,a,12881,a(flip),b,13047,a(flip))]. given #11702 (H,wt=10): 13050 a(K(x * y,z),x,y) = 1. [hyper(255,a,11013,a(flip),b,13049,a)]. given #11703 (H,wt=10): 13052 a(K(x,y),z,z \ x) = 1. [para(19(a,1),13050(a,1,1,1))]. given #11704 (H,wt=12): 13054 L(x \ y,x,K(y,z)) = x \ y. [hyper(38,a,13052,a)]. given #11705 (H,wt=13): 13056 (K(x,y) * z) \ T(x,y) = z \ x. [hyper(255,a,5345,a(flip),b,13054,a(flip)),flip(a)]. given #11706 (H,wt=13): 13059 T(x,y) / (z \ x) = K(x,y) * z. [para(13056(a,1),70(a,1,2))]. given #11707 (H,wt=13): 13062 K(x,y) * (1 / z) = K(x,y) / z. [hyper(255,a,11801,a(flip),b,13059,a(flip))]. given #11708 (H,wt=17): 13065 K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). [para(5190(a,2),13062(a,1,2))]. given #11709 (H,wt=17): 13066 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(13062(a,1),6837(a,1,1))]. given #11710 (H,wt=21): 13068 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(13066(a,1),11130(a,1,1))]. given #11711 (H,wt=25): 13051 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(13049(a,1),12217(a,1,1,2))]. given #11712 (H,wt=13): 13069 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(255,a,9965,a(flip),b,13051,a(flip))]. given #11713 (H,wt=10): 13071 a(x,x \ 1,K(y,z)) = 1. [hyper(255,a,10530,a(flip),b,13069,a(flip))]. given #11714 (H,wt=10): 13075 a(x \ 1,x,K(y,z)) = 1. [hyper(255,a,11238,a(flip),b,13071,a(flip)),flip(a)]. given #11715 (H,wt=12): 13076 L(K(x,y),z,z \ 1) = K(x,y). [hyper(38,a,13075,a)]. given #11716 (H,wt=12): 13077 K(x,L(y,z,z \ 1)) = K(x,y). [hyper(11622,a,13076,a)]. given #11717 (H,wt=12): 13080 K(L(x,y,y \ 1),z) = K(x,z). [hyper(255,a,11636,a(flip),b,13076,a(flip)),flip(a)]. given #11718 (H,wt=12): 13082 L(K(x,y),1 / z,z) = K(x,y). [para(73(a,1),13076(a,1,3))]. given #11719 (H,wt=13): 13070 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(255,a,13049,a(flip),b,13069,a(flip))]. given #11720 (H,wt=10): 13098 a(x,y,K(y * x,z)) = 1. [hyper(255,a,11008,a(flip),b,13070,a)]. given #11721 (H,wt=13): 13078 (1 / x) * (x * K(y,z)) = K(y,z). [hyper(3048,a,13076,a)]. given #11722 (H,wt=13): 13081 (1 / x) \ K(y,z) = x * K(y,z). [hyper(80,a,13076,a(flip),b,3043,a)]. given #11723 (H,wt=13): 13088 K(x,y * (z \ 1)) = K(x,y / z). [hyper(255,a,12464,a(flip),b,13077,a(flip)),flip(a)]. given #11724 (H,wt=13): 13089 K(x,(1 / y) * z) = K(x,y \ z). [para(3052(a,1),13077(a,1,2))]. given #11725 (H,wt=13): 13090 K(x,(y \ 1) \ z) = K(x,y * z). [para(3064(a,1),13077(a,1,2)),flip(a)]. given #11726 (H,wt=13): 13092 K((1 / x) * y,z) = K(x \ y,z). [para(3052(a,1),13080(a,1,1))]. given #11727 (H,wt=13): 13094 K((x \ 1) \ y,z) = K(x * y,z). [para(3064(a,1),13080(a,1,1)),flip(a)]. given #11728 (H,wt=13): 13095 (x \ 1) * K(y,z) = x \ K(y,z). [para(13082(a,1),3208(a,1,2)),flip(a)]. given #11729 (H,wt=13): 13097 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(255,a,13048,a(flip),b,13070,a)]. given #11730 (H,wt=13): 13105 (x \ y) * K(y,z) = x \ T(y,z). [hyper(22,a,11797,a,b,13078,a)]. given #11731 (H,wt=13): 13123 K((x \ 1) * y,z) = K(x \ y,z). [hyper(255,a,5756,a(flip),b,13092,a(flip)),flip(a)]. given #11732 (H,wt=13): 13135 (x \ K(y,z)) * K(z,y) = x \ 1. [hyper(6674,a,13095,a)]. given #11733 (H,wt=13): 13145 (x \ K(y,z)) \ (x \ 1) = K(z,y). [para(13095(a,1),6670(a,1,1))]. given #11734 (H,wt=13): 13152 (x / y) \ T(x,z) = y * K(x,z). [hyper(558,a,13105,a),flip(a)]. given #11735 (H,wt=13): 13160 (K(x,y) / z) \ 1 = z * K(y,x). [hyper(558,a,13135,a),flip(a)]. given #11736 (H,wt=13): 13165 T(x,y) / (z * K(x,y)) = x / z. [para(13152(a,1),70(a,1,2))]. given #11737 (H,wt=13): 13167 1 / (x * K(y,z)) = K(z,y) / x. [para(13160(a,1),70(a,1,2))]. given #11738 (H,wt=14): 13104 L(K(x * y,z),x,y) = K(x * y,z). [hyper(38,a,13098,a)]. given #11739 (H,wt=14): 13178 K(x * y,L(z,x,y)) = K(x * y,z). [hyper(11622,a,13104,a)]. given #11740 (H,wt=15): 13115 T(x,y * (1 / z)) = x * K(x,y / z). [para(13088(a,1),5319(a,1,2)),flip(a)]. given #11741 (H,wt=13): 13179 T(x,y * (1 / z)) = T(x,y / z). [hyper(255,a,5252,a,b,13115,a)]. given #11742 (H,wt=13): 13180 T(x,y / (1 / z)) = T(x,y * z). [hyper(255,a,4884,a(flip),b,13179,a(flip))]. given #11743 (H,wt=15): 13118 K(x,T(y * z,y)) = K(x,(z \ 1) \ y). [hyper(255,a,12423,a,b,13090,a),flip(a)]. given #11744 (H,wt=15): 13130 x * (y * K(x * y,z)) = T(x * y,z). [para(13094(a,1),6771(a,1,2,2))]. given #11745 (H,wt=14): 13186 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(11650,a,13130,a)]. given #11746 (H,wt=15): 13171 T(x,y) / (z / T(y,x)) = x / (z / y). [para(6718(a,1),13165(a,1,2))]. given #11747 (H,wt=15): 13182 K(x * (1 / y),z) = z / T(z,x / y). [para(13179(a,1),5182(a,2,2))]. given #11748 (H,wt=13): 13191 K(x * (1 / y),z) = K(x / y,z). [hyper(255,a,5182,a,b,13182,a)]. given #11749 (H,wt=13): 13192 K(x * (y \ 1),z) = K(x / y,z). [hyper(255,a,5752,a(flip),b,13191,a(flip)),flip(a)]. given #11750 (H,wt=13): 13193 K(x / (1 / y),z) = K(x * y,z). [hyper(255,a,5749,a(flip),b,13191,a(flip))]. given #11751 (H,wt=16): 13107 (1 / x) \ K(y,z) != x * u | K(y,z) = u. [para(13078(a,1),86(a,1,2)),flip(b)]. given #11752 (H,wt=16): 13164 (x \ 1) * K(y,z) != u | x \ K(y,z) = u. [para(13135(a,1),6675(a,1,1)),flip(b)]. given #11753 (H,wt=16): 13166 (x / y) \ T(x,y) != z | (x * y) / x = z. [para(13152(a,2),5448(a,1))]. given #11754 (H,wt=16): 13185 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(13118(a,1),12452(a,1))]. given #11755 (H,wt=16): 13189 L(x,y,z) = (z * (y * x)) / T(z * y,x). [para(13186(a,1),420(a,1,2)),flip(a)]. given #11756 (H,wt=17): 13096 L(K(x,y),z,u) * K(y,x) = a(y,z,K(x,u)). [hyper(255,a,9943,a,b,13070,a),flip(a)]. given #11757 (H,wt=17): 13099 a(x,y,K(z,K(u,w))) = a(w,y,K(x,K(z,u))). [para(8100(a,1),13070(a,1,3))]. given #11758 (H,wt=17): 13100 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). [para(8135(a,1),13070(a,1,3))]. given #11759 (H,wt=17): 13101 a(x,y,K(z,K(u,w))) = a(z,y,K(x,K(u,w))). [para(8153(a,1),13070(a,1,3))]. given #11760 (H,wt=17): 13102 K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u). [para(13070(a,2),9942(a,1,2))]. given #11761 (H,wt=17): 13103 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [para(13070(a,1),12983(a,2,2))]. given #11762 (H,wt=17): 13108 (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. [hyper(255,a,6884,a(flip),b,13081,a)]. given #11763 (H,wt=17): 13122 K(x \ (y \ ((1 / x) \ z)),y) = K(y \ z,y). [hyper(255,a,10944,a(flip),b,13092,a(flip))]. given #11764 (H,wt=17): 13131 T(x * K(y * x,z),y) = y \ T(x * y,z). [para(13094(a,1),6916(a,1,1,2))]. given #11765 (H,wt=17): 13150 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(13097(a,1),13048(a,2,2))]. given #11766 (H,wt=17): 13163 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [para(6670(a,1),13135(a,1,1)),flip(a)]. given #11767 (H,wt=17): 13202 a(x,y,K(z,u)) * K(z,x) = L(K(z,x),y,u). [hyper(6674,a,13096,a)]. given #11768 (H,wt=17): 13203 a(x,y,K(z,K(u,w))) = a(w,y,K(z,K(x,u))). [para(8134(a,1),13099(a,2,3))]. given #11769 (H,wt=17): 13204 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(8138(a,1),13100(a,2,3))]. given #11770 (H,wt=17): 13207 a(x,y,K(z,K(u,w))) = K(u,K(x,a(w,y,z))). [para(8134(a,1),13150(a,1,3))]. given #11771 (H,wt=17): 13209 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [para(13070(a,2),13202(a,1,1))]. given #11772 (H,wt=17): 13211 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [hyper(255,a,13100,a(flip),b,13207,a(flip)),flip(a)]. given #11773 (H,wt=19): 13119 (1 / x) \ K(y,z * u) = x * K(y,(z \ 1) \ u). [hyper(80,a,13090,a(flip),b,13078,a)]. given #11774 (H,wt=19): 13134 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(13094(a,1),9880(a,1,1,2))]. given #11775 (H,wt=19): 13176 T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). [para(13167(a,2),13066(a,1,1))]. given #11776 (H,wt=15): 13217 1 / (K(x,y) * z) = (1 / z) * K(y,x). [hyper(255,a,8528,a(flip),b,13176,a(flip)),flip(a)]. given #11777 (H,wt=19): 13190 T(x,y / x) / (z / (x \ y)) = x / (z / (y / x)). [para(129(a,1),13171(a,1,2,2))]. given #11778 (H,wt=19): 13215 x * K(y,(z \ 1) \ (z \ u)) = (1 / x) \ K(y,u). [para(19(a,1),13119(a,1,2,2)),flip(a)]. given #11779 (H,wt=19): 13219 (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). [para(13190(a,1),4504(a,1,2)),flip(a)]. given #11780 (H,wt=20): 13162 K(x \ 1,x) * (y \ 1) != z | y \ K(x \ 1,x) = z. [para(13135(a,1),5713(a,1,2)),flip(b)]. given #11781 (H,wt=20): 13196 (x \ 1) * K(y,(z \ 1) \ 1) != u | x \ K(y,z) = u. [para(3702(a,2),13164(a,1,2))]. given #11782 (H,wt=20): 13197 (x \ 1) * K(y,z \ 1) != u | x \ K(y,1 / z) = u. [para(3707(a,1),13164(a,1,2))]. given #11783 (H,wt=20): 13213 L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. [para(13209(a,1),25(a,1))]. given #11784 (H,wt=21): 13157 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(255,a,9694,a(flip),b,13123,a)]. given #11785 (H,wt=21): 13205 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),z,K(u,w)). [para(13101(a,1),13102(a,1,2))]. given #11786 (H,wt=21): 13218 K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). [para(13217(a,1),13062(a,1,2))]. given #11787 (H,wt=21): 13223 K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))). [hyper(255,a,11600,a(flip),b,13205,a)]. given #11788 (H,wt=22): 13072 ((K(x,y) * z) * u) / a(x,z,K(u,y)) = K(x,y) * (z * u). [para(13069(a,1),141(a,1,2))]. given #11789 (H,wt=22): 13116 K(x,R(x,y,z) * (u \ 1)) != w | K(x,u \ R(x,y,z)) = w. [para(13088(a,2),6902(a,1))]. given #11790 (H,wt=22): 13198 K(x,y / T(z \ 1,z * (x * y))) != u | K(x,z * y) = u. [para(11373(a,2),13185(a,1))]. given #11791 (H,wt=22): 13226 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = K(x,y) * (z * u). [hyper(255,a,9963,a(flip),b,13072,a(flip)),flip(a)]. given #11792 (H,wt=23): 13127 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(255,a,10682,a(flip),b,13094,a(flip)),flip(a)]. given #11793 (H,wt=21): 13227 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [hyper(255,a,13094,a(flip),b,13127,a(flip))]. given #11794 (H,wt=19): 13228 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [hyper(255,a,7241,a(flip),b,13227,a)]. given #11795 (H,wt=20): 13229 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [hyper(255,a,12152,a,b,13228,a(flip)),flip(a)]. given #11796 (H,wt=22): 13231 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(13229(a,1),10213(a,1,1,1))]. given #11797 (H,wt=19): 13232 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(255,a,7243,a(flip),b,13231,a(flip))]. given #11798 (H,wt=23): 13208 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). [hyper(255,a,12558,a,b,13163,a(flip)),flip(a)]. given #11799 (H,wt=17): 13235 K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. [hyper(41,a,13208,a)]. given #11800 (H,wt=19): 13237 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. [para(12557(a,2),13235(a,1,2))]. given #11801 (H,wt=21): 13238 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1 \ 1. [para(13237(a,1),1535(a,1,1)),flip(a)]. given #11802 (H,wt=19): 13239 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. [hyper(255,a,60,a(flip),b,13238,a)]. given #11803 (H,wt=23): 13210 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [hyper(11675,a,13204,a)]. given #11804 (H,wt=23): 13212 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [hyper(255,a,8845,a(flip),b,13209,a)]. given #11805 (H,wt=23): 13216 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(23,a,5148,a(flip),b,13134,a)]. given #11806 (H,wt=18): 13246 K(x \ (y * z),z) != u | K(x \ (z * y),z) = u. [para(13216(a,1),8008(a,1,1))]. given #11807 (H,wt=18): 13248 K((x \ y) \ z,x) != u | K(y \ (x * z),x) = u. [para(7833(a,2),13246(a,1))]. given #11808 (H,wt=19): 13247 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(10944(a,1),13216(a,1,2))]. given #11809 (H,wt=15): 13250 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(18(a,1),13247(a,1,2,1))]. given #11810 (H,wt=18): 13254 K(x,y \ (x * z)) != u | K(x,y \ (z * x)) = u. [para(13250(a,1),7984(a,1,2))]. given #11811 (H,wt=18): 13255 K(x,(x \ y) \ z) != u | K(x,y \ (z * x)) = u. [para(7411(a,2),13254(a,1))]. given #11812 (H,wt=20): 13252 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(149(a,1),13250(a,1,1)),flip(a)]. given #11813 (H,wt=18): 13256 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(255,a,6618,a(flip),b,13252,a)]. given #11814 (H,wt=18): 13257 R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). [para(13256(a,1),70(a,1,2)),flip(a)]. given #11815 (H,wt=21): 13249 L(K(x * y,y),x,z) != u | K(z \ (y * (z * x)),y) = u. [para(10395(a,2),13246(a,1))]. given #11816 (H,wt=23): 13220 (1 / x) \ K(y,T(z * u,w)) = x * K(y,T((z \ 1) \ u,w)). [para(923(a,1),13215(a,1,2,2)),flip(a)]. given #11817 (H,wt=17): 13258 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [hyper(13107,a,13220,a),flip(a)]. given #11818 (H,wt=23): 13225 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),y * z,K(u,w)). [hyper(255,a,9093,a,b,13223,a)]. given #11819 (H,wt=19): 13260 a(x,y * z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [hyper(22,a,13205,a,b,13225,a),flip(a)]. given #11820 (H,wt=19): 13261 a(x,y \ z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [para(19(a,1),13260(a,1,2)),flip(a)]. given #11821 (H,wt=19): 13262 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(8138(a,2),13260(a,1,3))]. given #11822 (H,wt=19): 13263 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(8138(a,2),13262(a,2,3))]. given #11823 (H,wt=23): 13234 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(21(a,1),13232(a,1,3,2)),flip(a)]. given #11824 (H,wt=23): 13242 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(8154(a,1),13210(a,1,2))]. given #11825 (H,wt=21): 13265 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [hyper(255,a,11847,a(flip),b,13242,a(flip)),flip(a)]. given #11826 (H,wt=19): 13266 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(9955(a,1),13265(a,1,1))]. given #11827 (H,wt=19): 13267 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(8154(a,1),13266(a,2,3))]. given #11828 (H,wt=23): 13244 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u))). [para(8134(a,1),13212(a,1,1,3))]. given #11829 (H,wt=24): 13194 K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. [para(13192(a,2),8557(a,1))]. given #11830 (H,wt=24): 13224 L(K(x,y),z,K(u,w)) != K(x,y) * v5 | a(x,z,K(y,K(u,w))) = v5. [para(13205(a,1),24(a,1))]. given #11831 (H,wt=25): 13175 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(13167(a,1),7100(a,1,2,1,2,2))]. given #11832 (H,wt=25): 13195 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). [para(13193(a,1),10827(a,2,2))]. given #11833 (H,wt=21): 13268 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). [para(6297(a,1),13195(a,2,2))]. given #11834 (H,wt=19): 13269 (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. [hyper(255,a,2573,a(flip),b,13268,a)]. given #11835 (H,wt=25): 13221 T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). [para(13219(a,2),2860(a,1,1))]. given #11836 (H,wt=25): 13236 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [hyper(255,a,12928,a,b,13235,a(flip)),flip(a)]. given #11837 (H,wt=23): 13272 K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(11767(a,1),13236(a,1,1))]. given #11838 (H,wt=25): 13245 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). [para(8443(a,1),13212(a,1,1,3))]. given #11839 (H,wt=19): 13274 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [hyper(255,a,13244,a(flip),b,13245,a(flip))]. given #11840 (H,wt=19): 13275 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(73(a,1),13274(a,1,2,2,3)),flip(a)]. given #11841 (H,wt=25): 13259 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(255,a,12287,a,b,13258,a(flip)),flip(a)]. given #11842 (H,wt=23): 13276 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(59(a,1),13259(a,1,2)),flip(a)]. given #11843 (H,wt=23): 13277 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(255,a,5842,a(flip),b,13276,a)]. given #11844 (H,wt=19): 13278 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(255,a,10992,a(flip),b,13277,a)]. given #11845 (H,wt=19): 13280 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(255,a,8772,a(flip),b,13278,a)]. given #11846 (H,wt=19): 13281 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(19(a,1),13280(a,1,2,1,1,1)),flip(a)]. given #11847 (H,wt=17): 13282 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(9445,a,13281,a),flip(a)]. given #11848 (H,wt=17): 13283 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(12449,a,13282,a)]. given #11849 (H,wt=17): 13284 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(255,a,9896,a(flip),b,13282,a(flip)),flip(a)]. given #11850 (H,wt=17): 13286 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(18(a,1),13284(a,1,2,1,1)),flip(a)]. given #11851 (H,wt=19): 13285 K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). [hyper(255,a,11741,a(flip),b,13283,a(flip))]. given #11852 (H,wt=25): 13270 x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). [para(70(a,1),13269(a,1,1))]. given #11853 (H,wt=21): 13289 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(70(a,1),13270(a,1,2,1)),flip(a)]. given #11854 (H,wt=19): 13290 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(5692(a,1),13289(a,1,1))]. given #11855 (H,wt=25): 13273 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(13272(a,1),12361(a,1,2)),flip(a)]. given #11856 (H,wt=23): 13293 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). [hyper(255,a,12585,a(flip),b,13273,a)]. given #11857 (H,wt=23): 13295 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(6125(a,1),13293(a,1,2,1))]. given #11858 (H,wt=21): 13296 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). [para(11767(a,1),13295(a,1,2))]. given #11859 (H,wt=21): 13297 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [para(13296(a,1),73(a,1,1))]. given #11860 (H,wt=26): 13201 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). [para(8235(a,1),13189(a,2,1,2)),flip(a)]. given #11861 (H,wt=26): 13214 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. [para(13209(a,2),9002(a,1))]. given #11862 (H,wt=26): 13299 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. [para(8134(a,1),13214(a,1,1,3))]. given #11863 (H,wt=27): 13287 K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). [hyper(255,a,9297,a,b,13286,a(flip)),flip(a)]. given #11864 (H,wt=23): 13300 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(255,a,9298,a(flip),b,13287,a(flip))]. given #11865 (H,wt=23): 13301 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(7899,a,13300,a)]. given #11866 (H,wt=21): 13303 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(255,a,10623,a(flip),b,13301,a(flip))]. given #11867 (H,wt=23): 13305 K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). [para(127(a,1),13303(a,1,2,1,1,2))]. given #11868 (H,wt=26): 13306 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(255,a,9448,a(flip),b,13305,a(flip))]. given #11869 (H,wt=24): 13307 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(9271,a,13306,a)]. given #11870 (H,wt=24): 13308 K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). [hyper(255,a,5817,a(flip),b,13307,a)]. given #11871 (H,wt=20): 13309 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(73(a,1),13308(a,2,2,1,1))]. given #11872 (H,wt=18): 13310 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(255,a,11968,a(flip),b,13309,a),flip(a)]. given #11873 (H,wt=26): 13312 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(13310(a,2),7208(a,1,1))]. given #11874 (H,wt=24): 13313 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(255,a,7213,a(flip),b,13312,a(flip)),flip(a)]. given #11875 (H,wt=27): 13288 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(13285(a,1),7208(a,1,1))]. given #11876 (H,wt=25): 13314 K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(255,a,7208,a(flip),b,13288,a(flip))]. given #11877 (H,wt=25): 13315 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(255,a,12919,a(flip),b,13314,a(flip))]. given #11878 (H,wt=21): 13316 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(70(a,1),13315(a,2,2,2))]. given #11879 (H,wt=20): 13317 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(255,a,13313,a,b,13316,a(flip)),flip(a)]. given #11880 (H,wt=20): 13319 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(12565(a,1),13317(a,1,1))]. given #11881 (H,wt=20): 13320 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(12564,a,13319,a)]. given #11882 (H,wt=20): 13321 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(255,a,12565,a(flip),b,13320,a)]. given #11883 (H,wt=19): 13322 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(255,a,12581,a(flip),b,13321,a(flip))]. given #11884 (H,wt=17): 13324 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(255,a,12923,a(flip),b,13322,a(flip))]. given #11885 (H,wt=19): 13325 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(13324(a,2),5263(a,2,1)),flip(a)]. given #11886 (H,wt=17): 13326 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(5264,a,13325,a)]. given #11887 (H,wt=23): 13327 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [hyper(255,a,12613,a,b,13326,a),flip(a)]. given #11888 (H,wt=18): 13328 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(255,a,10558,a(flip),b,13327,a(flip)),flip(a)]. given #11889 (H,wt=21): 13329 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(255,a,12582,a,b,13328,a(flip)),flip(a)]. given #11890 (H,wt=21): 13332 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(13069(a,1),13329(a,1,2))]. given #11891 (H,wt=28): 13073 (x * K(y,z)) * a(y,u,K(u \ x,T(z,x))) = (K(y,T(z,x)) * u) * (u \ x). [para(13069(a,1),8292(a,1,2))]. given #11892 (H,wt=26): 13333 (x * K(y,z)) * a(y,u,K(x / u,z)) = (K(y,T(z,x)) * u) * (u \ x). [para(8243(a,1),13073(a,1,2,3))]. given #11893 (H,wt=30): 13243 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). [para(113(a,2),13212(a,2,2,2)),flip(a)]. given #11894 (H,wt=28): 13334 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). [para(13261(a,1),13243(a,2,1))]. given #11895 (H,wt=22): 13335 K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). [hyper(255,a,13212,a(flip),b,13334,a)]. given #11896 (H,wt=19): 13336 K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). [para(113(a,1),13335(a,1,2,2))]. given #11897 (H,wt=19): 13337 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(11361(a,2),13336(a,1,2,2))]. given #11898 (H,wt=31): 13264 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(13234(a,1),10045(a,2,2))]. given #11899 (H,wt=29): 13338 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(255,a,1180,a(flip),b,13264,a)]. given #11900 (H,wt=27): 13339 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(255,a,1878,a(flip),b,13338,a)]. given #11901 (H,wt=27): 13340 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(9816(a,1),13339(a,2,1,2))]. given #11902 (H,wt=23): 13341 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(255,a,10067,a(flip),b,13340,a)]. given #11903 (H,wt=23): 13342 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(11212(a,1),13341(a,1,1))]. given #11904 (H,wt=21): 13343 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(255,a,10630,a(flip),b,13342,a(flip)),flip(a)]. given #11905 (H,wt=33): 13291 T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [para(13290(a,2),2385(a,1,2))]. given #11906 (H,wt=29): 13344 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [hyper(255,a,9608,a(flip),b,13291,a(flip)),flip(a)]. given #11907 (H,wt=29): 13345 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. [para(2854(a,2),13344(a,2,1))]. given #11908 (H,wt=25): 13346 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (x / ((x \ y) \ 1)) / x. [hyper(255,a,73,a(flip),b,13345,a)]. given #11909 (H,wt=19): 13348 (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). [hyper(255,a,13221,a(flip),b,13346,a(flip))]. given #11910 (H,wt=19): 13349 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [para(13348(a,2),19(a,1,2))]. given #11911 (H,wt=34): 13159 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(13123(a,1),12005(a,1,1))]. given #11912 (H,wt=32): 13350 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(6707(a,1),13159(a,1,2))]. given #11913 (H,wt=28): 13351 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9839(a,1),13350(a,1,2))]. given #11914 (H,wt=34): 13222 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(13157(a,1),11516(a,1,1))]. given #11915 (H,wt=32): 13352 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5998(a,1),13222(a,1,2))]. given #11916 (H,wt=28): 13353 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(8640(a,1),13352(a,1,2))]. given #11917 (H,wt=24): 13354 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(255,a,13343,a(flip),b,13353,a)]. given #11918 (H,wt=21): 13355 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(255,a,13351,a(flip),b,13354,a(flip)),flip(a)]. given #11919 (H,wt=35): 13206 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). [para(13108(a,1),6889(a,2,1))]. given #11920 (H,wt=31): 13357 (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(3368(a,1),13206(a,1,2))]. given #11921 (H,wt=25): 13359 (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). [para(5655(a,1),13357(a,1,2)),flip(a)]. given #11922 (H,wt=21): 13360 (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [hyper(255,a,11542,a(flip),b,13359,a)]. given #11923 (H,wt=35): 13292 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(13290(a,2),10788(a,2,1,1,2,1)),flip(a)]. given #11924 (H,wt=33): 13363 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(13160(a,1),13292(a,1,1,1,2))]. given #11925 (H,wt=31): 13364 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(10454(a,1),13363(a,1,1,1,2))]. given #11926 (H,wt=27): 13365 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(5864(a,1),13364(a,1,1,1)),flip(a)]. given #11927 (H,wt=27): 13366 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(2854(a,2),13365(a,1,2,2,1))]. given #11928 (H,wt=23): 13367 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(73(a,1),13366(a,1,2,2))]. given #11929 (H,wt=19): 13369 x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. [para(13349(a,1),13367(a,1,2))]. given #11930 (H,wt=19): 13370 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [para(13369(a,2),70(a,1,2))]. given #11931 (H,wt=40): 13241 L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). [para(13239(a,1),3308(a,1,1,2))]. given #11932 (H,wt=38): 13371 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). [para(17(a,1),13241(a,1,1)),flip(a)]. given #11933 (H,wt=36): 13372 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). [para(12555(a,1),13371(a,2,3))]. given #11934 (H,wt=34): 13373 (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(12555(a,1),13372(a,1,1))]. given #11935 (H,wt=34): 13374 (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(12552(a,1),13373(a,1,2))]. given #11936 (H,wt=34): 13375 K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)). [hyper(255,a,11507,a(flip),b,13374,a(flip)),flip(a)]. given #11937 (H,wt=26): 13376 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(5608(a,1),13375(a,1,2)),flip(a)]. given #11938 (H,wt=18): 13377 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(255,a,5608,a(flip),b,13376,a)]. given #11939 (H,wt=42): 13331 L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(3506(a,2),13328(a,2,2,1))]. given #11940 (H,wt=42): 13356 a(x \ (x * y),z,x \ (x * y)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(13355(a,1),12966(a,1,1))]. given #11941 (H,wt=38): 13381 a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). [para(18(a,1),13356(a,1,1,1))]. given #11942 (H,wt=34): 13382 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). [para(18(a,1),13381(a,1,1,3)),flip(a)]. given #11943 (H,wt=32): 13383 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(6595(a,1),13382(a,2,2))]. given #11944 (H,wt=28): 13384 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(18(a,1),13383(a,2,2,2))]. given #11945 (H,wt=26): 13385 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(5368(a,1),13384(a,2,2))]. given #11946 (H,wt=23): 13386 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(255,a,9171,a(flip),b,13385,a)]. given #11947 (H,wt=21): 13387 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(6898,a,13386,a)]. given #11948 (H,wt=17): 13388 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(18(a,1),13387(a,1,2))]. given #11949 (H,wt=17): 13389 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(255,a,5752,a(flip),b,13388,a(flip)),flip(a)]. given #11950 (H,wt=15): 13390 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(13194,a,13389,a)]. given #11951 (H,wt=15): 13391 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(19(a,1),13390(a,2,1))]. given #11952 (H,wt=17): 13392 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(255,a,13122,a(flip),b,13391,a(flip))]. given #11953 (H,wt=17): 13393 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(255,a,5755,a(flip),b,13392,a(flip)),flip(a)]. given #11954 (H,wt=15): 13394 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(255,a,7341,a(flip),b,13393,a(flip)),flip(a)]. given #11955 (H,wt=15): 13396 K(x * ((y * z) \ z),y) = K(y \ x,y). [hyper(255,a,8584,a,b,13394,a(flip)),flip(a)]. given #11956 (H,wt=19): 13397 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(19(a,1),13394(a,1,1,2,1)),flip(a)]. given #11957 (H,wt=19): 13400 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(255,a,9695,a,b,13397,a)]. given #11958 (H,wt=21): 13401 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(13400(a,1),263(a,1,2))]. given #11959 (H,wt=23): 13402 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(255,a,9707,a,b,13401,a(flip)),flip(a)]. given #11960 (H,wt=35): 13399 T(x * K(y \ x,y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(13396(a,1),12872(a,1,1,1,2))]. given #11961 (H,wt=33): 13403 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(263(a,1),13399(a,1,1,1))]. given #11962 (H,wt=33): 13405 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(8576(a,1),13403(a,1,1))]. given #11963 (H,wt=31): 13406 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(126(a,1),13405(a,1,2,2,2))]. given #11964 (H,wt=31): 13407 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(9557(a,1),13406(a,1,2))]. given #11965 (H,wt=29): 13408 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(3380(a,1),13407(a,1,2))]. given #11966 (H,wt=21): 13409 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [hyper(255,a,11382,a(flip),b,13408,a(flip)),flip(a)]. given #11967 (H,wt=19): 13410 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [hyper(255,a,9542,a(flip),b,13409,a(flip)),flip(a)]. given #11968 (H,wt=15): 13411 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(156(a,1),13410(a,1,2)),flip(a)]. given #11969 (H,wt=16): 13412 K(x,R(x \ 1,x,y) * z) = K(x,x \ z). [hyper(255,a,11152,a,b,13411,a(flip)),flip(a)]. given #11970 (H,wt=15): 13415 K(x,y * (z / (x * z))) = K(x,x \ y). [hyper(255,a,11148,a(flip),b,13412,a(flip)),flip(a)]. given #11971 (H,wt=19): 13417 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(255,a,10785,a(flip),b,13415,a(flip))]. given #11972 (H,wt=21): 13418 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [para(13417(a,1),5472(a,1,2))]. given #11973 (H,wt=23): 13419 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(255,a,9706,a,b,13418,a(flip)),flip(a)]. given #11974 (H,wt=42): 13380 L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(11936(a,1),13331(a,1,1))]. given #11975 (H,wt=38): 13420 L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(73(a,1),13380(a,1,1,2,1,2,1))]. given #11976 (H,wt=36): 13421 L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [para(10621(a,1),13420(a,1,1))]. given #11977 (H,wt=36): 13422 L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [hyper(255,a,10661,a(flip),b,13421,a(flip)),flip(a)]. given #11978 (H,wt=32): 13424 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x). [para(73(a,1),13422(a,1,2,2,1)),flip(a)]. given #11979 (H,wt=30): 13425 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(255,a,10693,a(flip),b,13424,a)]. given #11980 (H,wt=27): 13427 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(255,a,13328,a(flip),b,13425,a)]. given #11981 (H,wt=23): 13428 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(19(a,1),13427(a,2,2,1))]. given #11982 (H,wt=23): 13429 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(3506(a,1),13428(a,1,2,1))]. given #11983 (H,wt=46): 13362 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [para(13360(a,1),12992(a,2,2))]. given #11984 (H,wt=46): 13430 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(y,1 / y) * ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [hyper(255,a,5600,a(flip),b,13362,a)]. given #11985 (H,wt=44): 13431 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [hyper(255,a,5130,a(flip),b,13430,a)]. given #11986 (H,wt=34): 13432 K(x,1 / (K(1 / y,y) \ (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [para(4865(a,1),13431(a,1,2,2,2))]. given #11987 (H,wt=34): 13434 K(x,1 / (K(y,1 / y) * (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [para(5600(a,1),13432(a,1,2,2))]. given #11988 (H,wt=32): 13435 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). [para(10686(a,1),13434(a,1,2,2)),flip(a)]. given #11989 (H,wt=26): 13436 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). [hyper(255,a,9291,a(flip),b,13435,a)]. given #11990 (H,wt=24): 13437 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [para(153(a,1),13436(a,2,2))]. given #11991 (H,wt=52): 13298 (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(13297(a,1),3567(a,1,1,1))]. given #11992 (H,wt=50): 13438 (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(12585(a,1),13298(a,1,1))]. given #11993 (H,wt=48): 13439 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(13297(a,1),13438(a,1,2,2))]. given #11994 (H,wt=46): 13440 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(8798(a,1),13439(a,1,2))]. given #11995 (H,wt=44): 13441 (x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(10662(a,1),13440(a,1,2))]. given #11996 (H,wt=29): 13442 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(13377(a,1),13441(a,1,2)),flip(a)]. given #11997 (H,wt=27): 13443 ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(13297(a,1),13442(a,1,1,1,1))]. given #11998 (H,wt=25): 13444 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12585(a,1),13443(a,1,1,1))]. given #11999 (H,wt=23): 13445 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(13297(a,1),13444(a,1,1)),flip(a)]. given #12000 (H,wt=40): 13446 L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(13445(a,1),9292(a,1,1))]. given #12001 (H,wt=38): 13447 L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(8888(a,1),13446(a,1,2))]. given #12002 (H,wt=38): 13448 L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [hyper(255,a,10665,a(flip),b,13447,a(flip)),flip(a)]. given #12003 (H,wt=36): 13449 L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(5225(a,1),13448(a,1,2))]. given #12004 (H,wt=25): 13450 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(255,a,11515,a(flip),b,13449,a(flip))]. given #12005 (H,wt=55): 13452 (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(13450(a,1),12977(a,1,1))]. given #12006 (H,wt=47): 13453 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z). [para(5875(a,1),13452(a,1,1,1)),flip(a)]. given #12007 (H,wt=43): 13454 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),x * z). [para(5805(a,1),13453(a,2,2))]. given #12008 (H,wt=43): 13455 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),x * z). [para(6403(a,1),13454(a,2,2))]. given #12009 (H,wt=41): 13456 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(x \ (x * z),T(x * z,y)). [para(8986(a,1),13455(a,2,2))]. given #12010 (H,wt=37): 13457 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). [para(18(a,1),13456(a,2,2,1))]. given #12011 (H,wt=35): 13458 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)). [hyper(255,a,6618,a(flip),b,13457,a)]. given #12012 (H,wt=33): 13460 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(255,a,9279,a(flip),b,13458,a)]. given #12013 (H,wt=33): 13461 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(6125(a,1),13460(a,1,1,1))]. given #12014 (H,wt=31): 13462 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(13450(a,1),13461(a,1,1))]. given #12015 (H,wt=23): 13463 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5875(a,1),13462(a,1,1,1))]. given #12016 (H,wt=19): 13464 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(255,a,4897,a(flip),b,13463,a(flip)),flip(a)]. given #12017 (H,wt=19): 13465 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(4563(a,1),13464(a,2,1))]. given #12018 (H,wt=29): 13466 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(12801(a,1),13465(a,2,2))]. given #12019 (H,wt=25): 13467 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(12801(a,1),13466(a,1,1,1))]. given #12020 (H,wt=21): 13468 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(255,a,13332,a(flip),b,13467,a)]. given #12021 (H,wt=21): 13469 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(10629(a,1),13468(a,1,1))]. given #12022 (H,wt=21): 13470 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(13103(a,2),13469(a,1,1))]. given #12023 (H,wt=21): 13471 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(5831,a,13470,a)]. given #12024 (H,wt=17): 13472 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(255,a,12988,a(flip),b,13471,a(flip))]. given #12025 (H,wt=23): 13473 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(255,a,13429,a(flip),b,13472,a(flip))]. given #12026 (H,wt=21): 13474 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(9892(a,1),13473(a,1,2,1))]. given #12027 (H,wt=21): 13475 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(255,a,12990,a(flip),b,13474,a(flip)),flip(a)]. given #12028 (H,wt=17): 13476 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(5184(a,2),13475(a,1,2,1,2))]. -------- Proof 2 -------- "TRTL". ============================== PROOF ================================= % Proof 2 at 1185.79 (+ 46.30) seconds: "TRTL". % Length of proof is 10151. % Level of proof is 455. % Maximum clause weight is 65.000. % Given clauses 12028 (26.435 givens/level). 1 x * y = u & x * z = u -> y = z # label(non_clause). [assumption]. 2 y * x = u & z * x = u -> y = z # label(non_clause). [assumption]. 3 x * y = x * z -> y = z # label(non_clause). [assumption]. 4 y * x = z * x -> y = z # label(non_clause). [assumption]. 5 a(x,y,z) = 1 -> L(z,y,x) = z # label(non_clause). [assumption]. 6 L(x,y,z) = x -> a(z,y,x) = 1 # label(non_clause). [assumption]. 7 T(x,y) = x -> T(y,x) = y # label(non_clause). [assumption]. 8 T(x,y) = x -> K(x,y) = 1 # label(non_clause). [assumption]. 9 K(x,y) = 1 -> T(x,y) = x # label(non_clause). [assumption]. 11 T(x,R(y,z,u)) = T(x,L(y,z,u)) # label("TRTL") # label(non_clause) # label(goal). [goal]. 16 1 * x = x. [assumption]. 17 x * 1 = x. [assumption]. 18 x \ (x * y) = y. [assumption]. 19 x * (x \ y) = y. [assumption]. 20 (x * y) / y = x. [assumption]. 21 (x / y) * y = x. [assumption]. 22 x * y != z | x * u != z | u = y. [clausify(1)]. 23 x * y != z | u * y != z | u = x. [clausify(2)]. 24 x * y != x * z | y = z. [clausify(3)]. 25 x * y != z * y | x = z. [clausify(4)]. 26 x != y | z * x = z * y. [assumption]. 27 x != y | x * z = y * z. [assumption]. 28 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 29 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(28),flip(a)]. 30 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 31 K(x,y) = (y * x) \ (x * y). [copy(30),flip(a)]. 32 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 33 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(32),flip(a)]. 34 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 35 R(x,y,z) = ((x * y) * z) / (y * z). [copy(34),flip(a)]. 36 x \ (y * x) = T(y,x). [assumption]. 37 T(x,y) = y \ (x * y). [copy(36),flip(a)]. 38 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 39 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 40 T(x,y) != x | T(y,x) = y. [clausify(7)]. 41 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 42 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 43 T(T(x,y),z) = T(T(x,z),y) # label("AIM-TT condition"). [assumption]. 44 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 45 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(44),flip(a)]. 46 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 47 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(46),flip(a)]. 48 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 49 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(48),flip(a)]. 50 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 51 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 53 T(c5,R(c6,c7,c8)) != T(c5,L(c6,c7,c8)) # label("TRTL") # answer("TRTL"). [deny(11)]. 58 x * (1 * 1) = x. [para(16(a,2),17(a,1,2))]. 59 1 \ x = x. [para(16(a,1),18(a,1,2))]. 60 x \ x = 1. [para(17(a,1),18(a,1,2))]. 61 x \ (x * (y \ (y * z))) = z. [para(18(a,2),18(a,1))]. 62 (x * (x \ 1)) * y = y. [para(19(a,2),16(a,1,1))]. 63 x * (x \ (1 * y)) = y. [para(19(a,2),16(a,1))]. 64 x * (y * (y \ 1)) = x. [para(19(a,2),17(a,1,2))]. 65 x \ (y * (y \ (x * z))) = z. [para(19(a,2),18(a,1,2))]. 66 x * (y * (y \ (x \ z))) = z. [para(19(a,2),19(a,1,2))]. 67 x / x = 1. [para(16(a,1),20(a,1,1))]. 68 x / 1 = x. [para(17(a,1),20(a,1,1))]. 69 x * (((x \ y) * z) / z) = y. [para(20(a,2),19(a,1,2))]. 70 x / (y \ x) = y. [para(19(a,1),20(a,1,1))]. 71 ((1 / x) * x) * y = y. [para(21(a,2),16(a,1,1))]. 72 x * ((1 / y) * y) = x. [para(21(a,2),17(a,1,2))]. 73 (x / y) \ x = y. [para(21(a,1),18(a,1,2))]. 74 x \ (((x * y) / z) * z) = y. [para(21(a,2),18(a,1,2))]. 75 (x \ (x * (y / z))) * z = y. [para(18(a,2),21(a,1,1))]. 76 ((x * (x \ y)) / z) * z = y. [para(21(a,2),19(a,1))]. 77 (((x * y) / z) * z) / y = x. [para(21(a,2),20(a,1,1))]. 78 (((x / y) / z) * z) * y = x. [para(21(a,2),21(a,1,1))]. 79 x != y | 1 * z != y | z = x. [para(16(a,1),22(a,1))]. 80 x != y | z * u != y | z \ x = u. [para(19(a,1),22(a,1)),flip(c)]. 81 x != y | z * u != y | x / u = z. [para(21(a,1),23(a,1)),flip(c)]. 82 1 * x != y | y = x. [para(16(a,1),24(a,1)),flip(a)]. 83 1 * x != y | x = y. [para(16(a,1),24(a,2))]. 84 x * y != x | 1 = y. [para(17(a,1),24(a,1)),flip(a)]. 85 (x * y) * 1 != x * z | z = y. [para(17(a,2),24(a,2)),flip(a)]. 86 x \ (x * (y * z)) != y * u | u = z. [para(18(a,2),24(a,2)),flip(a)]. 87 x * y != z | x \ z = y. [para(19(a,1),24(a,1)),flip(a)]. 88 x * (x \ (y * z)) != y * u | u = z. [para(19(a,2),24(a,2)),flip(a)]. 89 (x / y) * z != x | z = y. [para(21(a,1),24(a,2))]. 91 x * 1 != y | y = x. [para(17(a,1),25(a,1)),flip(a)]. 92 x * 1 != y | x = y. [para(17(a,1),25(a,2))]. 93 x \ (x * (y * z)) != u * z | u = y. [para(18(a,2),25(a,2)),flip(a)]. 94 x * (y \ z) != z | x = y. [para(19(a,1),25(a,2))]. 95 ((x * y) * z) / z != u * y | u = x. [para(20(a,2),25(a,2)),flip(a)]. 96 x * y != z | z / y = x. [para(21(a,1),25(a,1)),flip(a)]. 97 x * (y * (y \ z)) = x * z. [hyper(26,a,19,a)]. 98 ((x / y) * y) * z = x * z. [hyper(27,a,21,a)]. 99 (x * (x \ y)) * z = y * z. [hyper(27,a,19,a)]. 100 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(29(a,2),19(a,1,2))]. 101 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(19(a,1),29(a,2,2,1)),flip(a)]. 102 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(21(a,1),29(a,2,1,2)),flip(a)]. 103 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(21(a,1),29(a,2,2,1)),flip(a)]. 104 (x * y) * K(y,x) = y * x. [para(31(a,2),19(a,1,2))]. 105 x \ ((y \ x) * y) = K(y \ x,y). [para(19(a,1),31(a,2,1)),flip(a)]. 106 ((x \ y) * x) \ y = K(x,x \ y). [para(19(a,1),31(a,2,2)),flip(a)]. 107 x \ (y * (x / y)) = K(y,x / y). [para(21(a,1),31(a,2,1)),flip(a)]. 108 (x * (y / x)) \ y = K(y / x,x). [para(21(a,1),31(a,2,2)),flip(a)]. 109 x \ (1 * (x * y)) = L(y,x,1). [para(16(a,1),33(a,2,1)),flip(a)]. 110 (x * 1) \ (x * y) = L(y,1,x). [para(16(a,1),33(a,2,2,2)),flip(a)]. 111 (x * y) \ (x * y) = L(1,y,x). [para(17(a,1),33(a,2,2,2)),flip(a)]. 112 (x * y) * L(z,y,x) = x * (y * z). [para(33(a,2),19(a,1,2))]. 113 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(19(a,1),33(a,2,1)),flip(a)]. 114 L(x \ y,x,z) = (z * x) \ (z * y). [para(19(a,1),33(a,2,2,2))]. 115 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(21(a,1),33(a,2,1)),flip(a)]. 116 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(21(a,1),33(a,2,2,2))]. 117 (x * y) / (x * y) = R(1,x,y). [para(16(a,1),35(a,2,1,1)),flip(a)]. 118 ((x * 1) * y) / y = R(x,1,y). [para(16(a,1),35(a,2,2)),flip(a)]. 119 (x * y) / (y * 1) = R(x,y,1). [para(17(a,1),35(a,2,1)),flip(a)]. 120 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(19(a,1),35(a,2,1,1))]. 121 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(19(a,1),35(a,2,1))]. 122 R(x,y,z) * (y * z) = (x * y) * z. [para(35(a,2),21(a,1,1))]. 123 R(x / y,y,z) = (x * z) / (y * z). [para(21(a,1),35(a,2,1,1))]. 124 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(21(a,1),35(a,2,2)),flip(a)]. 125 T(1,x) = x \ x. [para(16(a,1),37(a,2,2))]. 126 T(x,x) = x. [para(37(a,2),18(a,1))]. 127 x * T(y,x) = y * x. [para(37(a,2),19(a,1,2))]. 128 T(x,x \ y) = (x \ y) \ y. [para(19(a,1),37(a,2,2))]. 129 T(x / y,y) = y \ x. [para(21(a,1),37(a,2,2))]. 130 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(47(a,2),43(a,1,1)),flip(a)]. 131 x \ (1 \ (x * y)) = y. [hyper(22,a,19,a,b,59,a(flip)),flip(a)]. 132 (x * (x \ 1)) \ y = y. [para(19(a,2),59(a,1,1))]. 133 ((1 / x) * x) \ y = y. [para(21(a,2),59(a,1,1))]. 135 x / (y * (y \ 1)) = x. [para(19(a,2),68(a,1,2))]. 136 x / ((1 / y) * y) = x. [para(21(a,2),68(a,1,2))]. 137 T(T(x,y),x) = T(x,y). [para(126(a,1),43(a,1,1)),flip(a)]. 138 T(L(x,y,z),x) = L(x,y,z). [para(126(a,1),45(a,1,1)),flip(a)]. 139 x \ x = 1 * 1. [hyper(22,a,19,a,b,58,a),flip(a)]. 140 (x / (y \ x)) * z = y * z. [hyper(27,a,70,a)]. 141 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(29(a,2),70(a,1,2))]. 142 (x * y) / K(x,y) = y * x. [para(31(a,2),70(a,1,2))]. 143 (x * (y * z)) / L(z,y,x) = x * y. [para(33(a,2),70(a,1,2))]. 144 (x * y) / T(x,y) = y. [para(37(a,2),70(a,1,2))]. 145 x / (y / ((z \ x) \ y)) = z. [para(70(a,2),70(a,1,2))]. 146 ((x / y) \ x) * z = y * z. [hyper(27,a,73,a)]. 147 (x / (1 * y)) \ x = y. [hyper(22,a,16,a,b,73,a(flip)),flip(a)]. 148 x * ((y / (x \ z)) \ y) = z. [para(73(a,2),19(a,1,2))]. 149 R(x,y,z) \ ((x * y) * z) = y * z. [para(35(a,2),73(a,1,1))]. 150 ((x / (y / z)) \ x) \ y = z. [para(73(a,2),73(a,1,1))]. 151 T(1,x) = 1. [para(125(a,2),60(a,1))]. 152 K(1,x) = 1. [hyper(41,a,151,a)]. 153 T(x,1) = x. [hyper(40,a,151,a)]. 155 K(x,1) = 1. [hyper(41,a,153,a)]. 157 x \ x != y | 1 = y. [para(139(a,2),82(a,1)),flip(b)]. 158 ((1 / x) * x) * y != z | y = z. [para(21(a,2),83(a,1,1))]. 159 x * (y * (y \ 1)) != z | z = x. [para(19(a,2),91(a,1,2))]. 160 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(62(a,1),35(a,2,1))]. 161 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(64(a,1),29(a,2,1)),flip(a)]. 162 L(x \ 1,x,y) = (y * x) \ y. [para(64(a,1),33(a,2,2))]. 163 R(1 / x,x,y) = y / (x * y). [para(71(a,1),35(a,2,1))]. 164 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(72(a,1),29(a,2,1)),flip(a)]. 165 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(72(a,1),33(a,2,2))]. 166 T((x * y) / x,x) = y. [hyper(22,a,21,a(flip),b,127,a)]. 167 (x * T(y,x)) / x = y. [hyper(23,a,21,a,b,127,a(flip)),flip(a)]. 168 x \ (y * T(x,y)) = y. [hyper(22,a,19,a,b,127,a(flip)),flip(a)]. 169 (x \ y) * T(x,x \ y) = y. [para(127(a,2),19(a,1))]. 170 x * (y * (y \ T(z,x))) = z * x. [para(19(a,2),127(a,1,2))]. 171 x * T(y / x,x) = y. [para(127(a,2),21(a,1))]. 172 x * y != z | y * u != z | T(x,y) = u. [para(127(a,1),22(a,1)),flip(c)]. 173 x * y != z * x | T(z,x) = y. [para(127(a,1),24(a,1)),flip(a)]. 174 x * T(y,x) != z * x | z = y. [para(127(a,2),25(a,2)),flip(a)]. 175 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(127(a,1),29(a,2,1,2)),flip(a)]. 176 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(127(a,1),29(a,2,2,1)),flip(a)]. 177 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(127(a,1),31(a,2,1)),flip(a)]. 178 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(127(a,1),33(a,2,1)),flip(a)]. 179 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(127(a,1),33(a,2,2,2)),flip(a)]. 180 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(127(a,1),35(a,2,1,1)),flip(a)]. 181 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(127(a,1),35(a,2,2)),flip(a)]. 182 x * T(T(y,x),z) = T(y,z) * x. [para(43(a,1),127(a,1,2))]. 183 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(45(a,2),127(a,1,2))]. 184 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(47(a,2),127(a,1,2))]. 185 T(T(x / y,z),y) = T(y \ x,z). [para(129(a,1),43(a,1,1)),flip(a)]. 186 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(129(a,1),45(a,1,1)),flip(a)]. 187 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(129(a,1),47(a,1,1)),flip(a)]. 188 T(x / (x / y),x / y) = y. [para(129(a,2),73(a,1))]. 189 K(x \ 1,x) = (x \ 1) * x. [para(132(a,1),31(a,2))]. 190 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(132(a,1),33(a,2)),flip(a)]. 191 K(x,1 / x) = x * (1 / x). [para(133(a,1),31(a,2))]. 192 (1 / x) * (x * y) = L(y,x,1 / x). [para(133(a,1),33(a,2)),flip(a)]. 193 (x * y) * (y \ 1) = R(x,y,y \ 1). [para(135(a,1),35(a,2)),flip(a)]. 194 (x * (1 / y)) * y = R(x,1 / y,y). [para(136(a,1),35(a,2)),flip(a)]. 195 K(T(x,y),x) = 1. [hyper(41,a,137,a)]. 196 T(x,T(x,y)) = x. [hyper(40,a,137,a)]. 197 T(T(T(x,y),z),x) = T(T(x,y),z). [para(137(a,1),43(a,1,1)),flip(a)]. 198 T(x,y) * x = x * T(x,y). [para(137(a,1),127(a,1,2)),flip(a)]. 199 x / T(y,y \ x) = y \ x. [para(19(a,1),144(a,1,1))]. 200 (T(x,y) * z) / T(T(x,z),y) = z. [para(43(a,1),144(a,1,2))]. 201 (x / (1 * y)) * y = x. [para(147(a,1),19(a,1,2))]. 202 T(T((x * y) / x,z),x) = T(y,z). [para(166(a,1),43(a,1,1)),flip(a)]. 203 K(x,(y * x) / y) = 1. [para(166(a,1),195(a,1,1))]. 204 T((x * y) / x,y) = (x * y) / x. [para(166(a,1),196(a,1,2))]. 205 (x * T(T(y,x),z)) / x = T(y,z). [para(43(a,1),167(a,1,1,2))]. 206 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(45(a,2),168(a,1,2,2))]. 207 T(x,(y * x) / y) = x. [hyper(42,a,203,a)]. 208 x * K(y,z) != y * z | z * y = x. [para(31(a,2),94(a,1,2)),flip(b)]. 209 x * L(y,z,u) != u * (z * y) | u * z = x. [para(33(a,2),94(a,1,2)),flip(b)]. 211 x != y | y / 1 = x. [para(17(a,1),96(a,1))]. 212 (x / y) \ x = y / 1. [hyper(211,a,73,a),flip(a)]. 213 x * (x \ y) = y / 1. [hyper(211,a,19,a),flip(a)]. 214 x / 1 = 1 * x. [hyper(211,a,16,a)]. 215 x / 1 != y | y = x. [para(214(a,2),82(a,1))]. 216 x / 1 != y | x = y. [para(214(a,2),83(a,1))]. 217 x / (y * (y \ 1)) != z | z = x. [para(19(a,2),215(a,1,2))]. 218 x / ((1 / y) * y) != z | z = x. [para(21(a,2),215(a,1,2))]. 219 (x / y) \ x != z | z = y. [para(212(a,2),215(a,1))]. 220 x * (x \ y) != z | z = y. [para(213(a,2),215(a,1))]. 221 (x / y) \ x = z * (z \ y). [para(213(a,2),212(a,2))]. 222 x \ (x * y) != z | z = y. [para(20(a,1),219(a,1,1))]. 223 x \ (y * x) != z | T(y,x) = z. [para(144(a,1),219(a,1,1)),flip(b)]. 224 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(33(a,2),220(a,1,2)),flip(b)]. 225 x * T(y,x) != z | y * x = z. [para(37(a,2),220(a,1,2)),flip(b)]. 226 (x / y) * y != z | z = x. [para(73(a,1),220(a,1,2))]. 227 (x * (x \ 1)) \ y != z | z = y. [para(62(a,1),220(a,1))]. 228 ((1 / x) * x) \ y != z | z = y. [para(71(a,1),220(a,1))]. 229 x * y != z | y * T(x,y) = z. [para(168(a,1),220(a,1,2)),flip(b)]. 230 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(35(a,2),226(a,1,1)),flip(b)]. 231 x \ (y * (y \ x)) = 1. [para(17(a,1),65(a,1,2,2,2))]. 232 (x / y) \ (z * (z \ x)) = y. [para(21(a,1),65(a,1,2,2,2))]. 233 x \ ((x * y) * L(z,y,x)) = y * z. [para(33(a,2),65(a,1,2,2))]. 234 x * (x \ y) = y * 1. [para(231(a,1),19(a,1,2)),flip(a)]. 235 x * 1 != y * z | y \ x = z. [para(234(a,1),24(a,1))]. 237 (x / y) * y = x * 1. [para(73(a,1),234(a,1,2))]. 239 x * 1 != y * z | x / z = y. [para(237(a,1),25(a,1))]. 240 (x / y) * y = z * (z \ x). [para(237(a,2),234(a,2)),flip(a)]. 241 L(x \ (y \ z),x,y) = (y * x) \ z. [para(66(a,1),33(a,2,2))]. 242 x * (x \ (y * z)) = y * (u * (u \ z)). [para(65(a,1),66(a,1,2,2,2)),flip(a)]. 243 ((1 * x) / y) \ x = y. [para(74(a,1),131(a,1,2))]. 246 ((x * (x \ y)) / z) \ y = z. [hyper(87,a,76,a)]. 247 (x / y) * y = 1 * x. [para(63(a,1),76(a,1,1,1))]. 248 1 * x != y * z | x / z = y. [para(247(a,1),25(a,1))]. 249 (x / ((y / z) * z)) * y = x. [para(247(a,2),201(a,1,1,2))]. 250 (((x / y) * y) / z) \ x = z. [para(247(a,2),243(a,1,1,1))]. 251 ((x / y) * y) / z = x / z. [para(21(a,1),77(a,1,1,1,1))]. 252 (R(x,y,z) * (y * z)) / z = x * y. [para(35(a,2),77(a,1,1,1))]. 253 R((x / y) / z,z,y) = x / (z * y). [para(78(a,1),35(a,2,1))]. 254 ((x / y) * y) * (x \ z) = z. [para(70(a,1),78(a,1,1,1,1))]. 255 x != y | z != y | z = x. [para(16(a,1),79(b,1))]. 256 (x * y) / y = z / (x \ z). [hyper(255,a,70,a,b,20,a)]. 257 x / (y \ x) = z * (z \ y). [hyper(255,a,70,a,b,19,a),flip(a)]. 258 (x * y) / y = (x / z) * z. [hyper(255,a,21,a,b,20,a)]. 259 x \ (x * y) = z * (z \ y). [hyper(255,a,19,a,b,18,a)]. 260 (x / (y * (y \ z))) * z = x. [hyper(226,a,97,a)]. 261 x * y != z * y | (z / u) * u = x. [para(98(a,1),25(a,2)),flip(b)]. 263 x * K(y \ x,y) = (y \ x) * y. [hyper(255,a,99,a(flip),b,104,a(flip)),flip(a)]. 264 x * K(y,x / y) = y * (x / y). [hyper(255,a,98,a(flip),b,104,a(flip)),flip(a)]. 265 (x * y) * z != y * x | K(y,x) = z. [para(104(a,1),24(a,1)),flip(a)]. 266 (x * y) * K(y,x) != y * z | z = x. [para(104(a,2),24(a,2)),flip(a)]. 267 (x * y) \ ((y * x) * (K(x,y) * z)) = L(z,K(x,y),y * x). [para(104(a,1),33(a,2,1)),flip(a)]. 268 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(104(a,1),33(a,2,2,2)),flip(a)]. 269 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(104(a,1),35(a,2,1)),flip(a)]. 270 K(x,y) \ (x * y) = T(y * x,K(x,y)). [para(104(a,1),37(a,2,2)),flip(a)]. 271 (x * y) / T(y * x,K(x,y)) = K(x,y). [para(104(a,1),144(a,1,1))]. 272 (x * y) \ (y * x) != z | K(y,x) = z. [para(104(a,1),222(a,1,2)),flip(b)]. 273 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(27,a,128,a)]. 274 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(26,a,128,a)]. 275 (x \ y) \ y = z * (z \ T(x,x \ y)). [hyper(255,a,19,a,b,128,a(flip))]. 276 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(128(a,1),43(a,1,1)),flip(a)]. 277 T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). [para(128(a,1),45(a,1,1)),flip(a)]. 278 T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. [para(128(a,2),128(a,1,2))]. 279 T(x,L(x,y,z)) = x. [hyper(40,a,138,a)]. 280 K(x,L(x,y,z)) = 1. [hyper(41,a,279,a)]. 281 x / K(y,y \ x) = (y \ x) * y. [para(19(a,1),142(a,1,1))]. 282 ((x / y) \ x) * (y \ z) = z. [hyper(255,a,19,a(flip),b,146,a)]. 283 x * (((y / x) \ y) \ z) = z. [hyper(220,a,146,a)]. 284 ((x / y) \ x) * z != u | y \ u = z. [para(146(a,2),87(a,1))]. 285 (x / y) * ((z / y) \ z) = x. [para(73(a,1),148(a,1,2,1,2))]. 286 (x \ y) * z != y | T(x,x \ y) = z. [para(169(a,1),24(a,1)),flip(a)]. 287 (x \ y) \ y != z | T(x,x \ y) = z. [para(169(a,1),222(a,1,2)),flip(b)]. 288 T(x / (x / y),(z / (x / y)) \ z) = y. [para(73(a,2),188(a,1,2))]. 289 x * T(x \ 1,x) = K(x \ 1,x). [hyper(255,a,127,a,b,189,a),flip(a)]. 290 (x \ 1) \ K(x \ 1,x) = x. [hyper(87,a,189,a(flip))]. 292 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(189(a,2),29(a,2,1,2)),flip(a)]. 293 (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). [para(189(a,2),35(a,2,1,1)),flip(a)]. 294 x \ K(x \ 1,x) = T(x \ 1,x). [para(189(a,2),37(a,2,2)),flip(a)]. 295 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(191(a,2),33(a,2,1)),flip(a)]. 296 (x / y) \ x != z * u | z \ y = u. [para(221(a,2),24(a,1))]. 297 x * (x \ y) != z * u | y / u = z. [para(232(a,1),94(a,1,2)),flip(a),flip(b)]. 298 x / (y \ ((x / z) * z)) = y. [hyper(23,a,148,a,b,240,a(flip))]. 300 R(x,y / z,z) * y = (x * (y / z)) * z. [para(35(a,2),249(a,1,1))]. 301 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(254(a,1),35(a,2,1))]. 302 (x / (y \ x)) * z != u | y * z = u. [para(256(a,1),226(a,1,1)),flip(b)]. 303 x / (y \ x) != z | z = y. [para(257(a,2),220(a,1))]. 304 (x * y) / y != z | z = x. [para(18(a,1),303(a,1,2))]. 305 (x * y) / T(x,y) != z | z = y. [para(37(a,2),303(a,1,2))]. 306 x / x != y | 1 = y. [para(59(a,1),303(a,1,2)),flip(b)]. 307 (x * y) / y != z * u | x / u = z. [para(258(a,2),25(a,1))]. 308 ((x / y) * y) * z != u | x * z = u. [para(258(a,1),226(a,1,1)),flip(b)]. 309 x \ (x * y) != z * u | z \ y = u. [para(259(a,2),24(a,1))]. 310 x * (y * (y \ z)) != u | x * z = u. [para(259(a,1),220(a,1,2)),flip(b)]. 311 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(35(a,2),260(a,1,1))]. 312 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(199(a,1),282(a,1,1,1))]. 313 x * ((y / z) \ y) != u | u / z = x. [para(285(a,1),25(a,1)),flip(a)]. 314 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(199(a,1),285(a,1,2,1))]. 315 (x \ 1) * x != y | K(x \ 1,x) = y. [para(290(a,1),220(a,1,2)),flip(b)]. 316 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [para(33(a,2),298(a,1,2))]. 317 x * y != x * z | z = y. [para(17(a,1),85(a,1))]. 318 x \ (x * y) = L(y,x,1). [para(16(a,1),109(a,1,2))]. 319 L(x,y,1) = x. [hyper(222,a,318,a)]. 321 x \ (x * y) = L(y,1,x). [para(17(a,1),110(a,1,1))]. 322 L(x,1,y) = x. [hyper(222,a,321,a)]. 323 L(x,1,y) != z | z = x. [para(321(a,1),222(a,1))]. 325 L(1,x,y) = 1. [hyper(157,a,111,a),flip(a)]. 328 R(1,x,y) = 1. [hyper(306,a,117,a),flip(a)]. 331 (x * y) / y = R(x,1,y). [para(17(a,1),118(a,1,1,1))]. 332 R(x,1,y) = x. [hyper(304,a,331,a)]. 335 (x * y) / y = R(x,y,1). [para(17(a,1),119(a,1,2))]. 336 R(x,y,1) = x. [hyper(304,a,335,a)]. 339 L(x \ 1,x,1 / x) = 1 / x. [hyper(255,a,133,a(flip),b,162,a)]. 340 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(26,a,162,a)]. 341 (x * y) * L(y \ 1,y,x) = x. [para(162(a,2),19(a,1,2))]. 342 L((x \ y) \ 1,x \ y,x) = y \ x. [para(19(a,1),162(a,2,1))]. 343 L(x \ 1,x,y / x) = y \ (y / x). [para(21(a,1),162(a,2,1))]. 344 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(162(a,1),45(a,2,1)),flip(a)]. 345 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(162(a,1),49(a,1,1))]. 346 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(162(a,1),50(a,1,1)),flip(a)]. 347 x / L(y \ 1,y,x) = x * y. [para(162(a,2),70(a,1,2))]. 348 R(1 / x,x,x \ 1) = x \ 1. [hyper(255,a,135,a(flip),b,163,a)]. 349 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(27,a,163,a)]. 350 R(1 / x,x,x \ y) = (x \ y) / y. [para(19(a,1),163(a,2,2))]. 351 R(1 / (x / y),x / y,y) = y / x. [para(21(a,1),163(a,2,2))]. 352 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(163(a,1),47(a,2,1)),flip(a)]. 353 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(163(a,1),51(a,1,1)),flip(a)]. 354 R(1 / x,x,y) \ y = x * y. [para(163(a,2),73(a,1,1))]. 355 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(127(a,1),173(a,2))]. 358 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(43(a,1),174(a,1,2)),flip(b)]. 359 T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. [para(127(a,1),223(a,1,2))]. 360 T(x,x \ y) \ y != z | T(x \ y,T(x,x \ y)) = z. [para(169(a,1),223(a,1,2))]. 361 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(43(a,1),225(a,1,2))]. 362 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(45(a,2),225(a,1,2))]. 363 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(47(a,2),225(a,1,2))]. 364 K(x \ 1,x) != y | (x \ 1) * x = y. [para(31(a,2),227(a,1)),flip(b)]. 365 K(x,1 / x) != y | x * (1 / x) = y. [para(31(a,2),228(a,1)),flip(b)]. 366 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(33(a,2),228(a,1)),flip(b)]. 367 x * (y * (y \ 1)) != z * u | z \ x = u. [para(19(a,2),235(a,1,2))]. 368 x * (x \ y) != z * u | z \ y = u. [para(234(a,2),235(a,1))]. 369 (x / y) * y != z * u | x / u = z. [para(237(a,2),239(a,1))]. 371 ((1 / x) * x) * y != z * u | y / u = z. [para(21(a,2),248(a,1,1))]. 372 L(T(x \ 1,y),x,1 / x) = T(1 / x,y). [para(339(a,1),45(a,2,1))]. 374 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(341(a,1),222(a,1,2)),flip(b)]. 375 x / L(y,1 / y,x) = x * (1 / y). [para(73(a,1),347(a,1,2,1))]. 376 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(347(a,1),282(a,1,1,1))]. 377 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(347(a,1),283(a,1,2,1,1))]. 378 R(T(1 / x,y),x,x \ 1) = T(x \ 1,y). [para(348(a,1),47(a,2,1))]. 379 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(70(a,1),354(a,1,1,1))]. 380 x / (y * x) != z | R(1 / y,y,x) = z. [para(354(a,1),303(a,1,2)),flip(b)]. 381 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(80,a,128,a,b,19,a)]. 382 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(80,a,33,a,b,133,a(flip))]. 383 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(80,a,33,a,b,132,a(flip))]. 384 (T(x,x \ y) / z) \ ((x \ y) \ y) = z. [hyper(80,a,128,a(flip),b,21,a)]. 385 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(81,a,35,a,b,135,a(flip))]. 386 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(81,a,162,a(flip),b,16,a)]. 387 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(18(a,1),105(a,2,1)),flip(a)]. 388 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(127(a,2),105(a,1,2))]. 390 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(189(a,2),106(a,1,1))]. 391 K(x,1 / x) \ 1 = K(1 / x,x). [para(191(a,2),108(a,1,1))]. 392 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(170(a,1),33(a,2,2))]. 393 T(x,y) * z != z * u | T(T(x,z),y) = u. [para(182(a,1),24(a,1))]. 394 x * T(x \ (y * x),z) = T(y,z) * x. [para(37(a,1),182(a,1,2,1))]. 395 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(43(a,1),182(a,1,2,1))]. 396 T(x / y,z) * y = y * T(y \ x,z). [para(129(a,1),182(a,1,2,1)),flip(a)]. 397 T((x * y) / x,z) * x = x * T(y,z). [para(166(a,1),182(a,1,2,1)),flip(a)]. 398 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(128(a,1),182(a,1,2,1))]. 399 T(x / (x / y),z) * (x / y) = (x / y) * T(y,z). [para(188(a,1),182(a,1,2,1)),flip(a)]. 400 (x * T(x \ y,z)) / x = T(y / x,z). [para(185(a,1),167(a,1,1,2))]. 401 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(185(a,1),225(a,1,2))]. 402 T(x,T(T(x,y),z)) = x. [hyper(40,a,197,a)]. 403 K(x,T(T(x,y),z)) = 1. [hyper(41,a,402,a)]. 404 (x * T(y,z)) / x = T((x * y) / x,z). [para(202(a,1),167(a,1,1,2))]. 405 T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). [para(128(a,1),202(a,1,1))]. 407 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(188(a,1),205(a,1,1,2,1))]. 408 (x \ y) * x != y * z | K(x \ y,x) = z. [para(263(a,1),24(a,1))]. 409 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(263(a,1),33(a,2,2,2)),flip(a)]. 410 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(263(a,1),222(a,1,2)),flip(b)]. 412 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(264(a,1),222(a,1,2)),flip(b)]. 413 x * T(x \ 1,x) != y | K(x \ 1,x) = y. [para(294(a,1),220(a,1,2)),flip(b)]. 415 (x * y) * L(z,y,x) != x * u | y * z = u. [para(33(a,2),88(a,1,2)),flip(b)]. 416 x \ (x * y) != z * u | y / u = z. [para(21(a,1),93(a,1,2,2)),flip(b)]. 417 (x * y) / L(z \ y,z,x) = x * z. [hyper(81,a,97,a(flip),b,112,a)]. 418 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(255,a,99,a(flip),b,112,a(flip)),flip(a)]. 419 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(255,a,98,a(flip),b,112,a(flip)),flip(a)]. 421 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(80,a,112,a(flip),b,127,a)]. 422 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(112(a,1),24(a,1)),flip(a)]. 423 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(112(a,1),33(a,2,1)),flip(a)]. 424 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(112(a,1),33(a,2,2,2)),flip(a)]. 425 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(112(a,1),35(a,2,1,1)),flip(a)]. 427 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(45(a,1),112(a,1,2))]. 428 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(49(a,2),112(a,1,2))]. 429 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(50(a,1),112(a,1,2))]. 430 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(127(a,1),112(a,1,1))]. 431 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(112(a,1),222(a,1,2)),flip(b)]. 432 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(112(a,1),104(a,1,1))]. 433 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(189(a,2),112(a,1,1))]. 434 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(112(a,1),158(a,1))]. 435 L(x \ (y * x),x,y) = T(y,y * x). [hyper(255,a,37,a,b,114,a)]. 436 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(255,a,133,a(flip),b,114,a)]. 437 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(255,a,132,a(flip),b,114,a)]. 438 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(255,a,107,a(flip),b,114,a)]. 439 L((x \ y) \ z,x \ y,x) = y \ (x * z). [para(19(a,1),114(a,2,1))]. 440 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(21(a,1),114(a,2,1))]. 441 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(29(a,2),114(a,1,1)),flip(a)]. 442 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(114(a,1),45(a,2,1)),flip(a)]. 443 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(127(a,1),114(a,2,1))]. 444 L(K(x,y) \ z,K(x,y),y * x) = (x * y) \ ((y * x) * z). [para(104(a,1),114(a,2,1))]. 446 x / L(y \ z,y,x / z) = (x / z) * y. [para(114(a,2),298(a,1,2))]. 447 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(114(a,2),227(a,1)),flip(b)]. 448 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(112(a,1),114(a,2,1))]. 449 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(112(a,1),114(a,2,2))]. 450 R(x / y,y,x \ z) \ z = y * (x \ z). [hyper(80,a,254,a(flip),b,122,a)]. 451 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(80,a,99,a(flip),b,122,a)]. 452 R(x / y,y,z) \ (x * z) = y * z. [hyper(80,a,98,a(flip),b,122,a)]. 453 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(80,a,122,a(flip),b,112,a)]. 454 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(122(a,1),25(a,1))]. 456 ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). [para(122(a,1),31(a,2,1)),flip(a)]. 457 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(122(a,1),35(a,2,1,1)),flip(a)]. 458 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(122(a,1),35(a,2,2)),flip(a)]. 459 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(47(a,1),122(a,1,1))]. 460 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(49(a,1),122(a,1,1))]. 461 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(51(a,1),122(a,1,1))]. 462 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(127(a,1),122(a,1,2))]. 464 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(104(a,1),122(a,1,2))]. 465 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(189(a,2),122(a,1,2))]. 466 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(122(a,1),304(a,1,1)),flip(b)]. 467 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(122(a,2),304(a,1,1)),flip(b)]. 468 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(122(a,1),159(a,1)),flip(b)]. 470 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(122(a,1),122(a,1,2))]. 471 R(x / (1 / y),1 / y,y) = x * y. [hyper(255,a,136,a(flip),b,123,a)]. 472 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(255,a,135,a(flip),b,123,a)]. 473 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(19(a,1),123(a,2,2))]. 474 R(x / (y / z),y / z,z) = (x * z) / y. [para(21(a,1),123(a,2,2))]. 475 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(123(a,1),47(a,2,1)),flip(a)]. 476 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(123(a,2),129(a,1,1))]. 477 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(198(a,1),123(a,2,2))]. 478 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(163(a,2),123(a,1,1))]. 479 R(x / (1 / y),1 / y,y) != z | x * y = z. [para(123(a,2),218(a,1)),flip(b)]. 480 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(122(a,1),123(a,2,1))]. 481 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(122(a,1),123(a,2,2))]. 482 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(123(a,2),123(a,1,1))]. 483 (x * y) / L(z,y / z,x) = x * (y / z). [para(21(a,1),143(a,1,1,2))]. 484 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(127(a,1),143(a,1,1,2))]. 485 (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). [para(104(a,1),143(a,1,1,2))]. 486 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(127(a,1),149(a,1,2,1))]. 487 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(104(a,1),149(a,1,2,1))]. 488 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(263(a,1),149(a,1,2,1))]. 489 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(112(a,1),149(a,1,2,1))]. 490 K(x,1 / x) \ x = L(x,1 / x,x). [para(191(a,2),165(a,2,1)),flip(a)]. 491 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(80,a,50,a,b,190,a)]. 492 x \ R(L(y,x \ 1,x),z,u) = (x \ 1) * R(y,z,u). [hyper(80,a,49,a,b,190,a)]. 493 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(80,a,45,a(flip),b,190,a)]. 494 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [para(127(a,1),190(a,1,2)),flip(a)]. 495 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(80,a,50,a,b,192,a)]. 496 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(127(a,1),192(a,1,2)),flip(a)]. 497 (1 / x) \ L(y,x,1 / x) != z | x * y = z. [para(192(a,1),222(a,1,2)),flip(b)]. 498 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(81,a,49,a(flip),b,193,a)]. 499 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(80,a,193,a(flip),b,127,a)]. 500 R(x,y,y \ 1) / (y \ 1) != z * y | z = x. [para(193(a,1),95(a,1,1))]. 501 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(81,a,51,a,b,194,a)]. 502 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(81,a,49,a(flip),b,194,a)]. 503 K(x,1 / x) * x = R(x,1 / x,x). [para(191(a,2),194(a,1,1))]. 505 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(241(a,1),45(a,2,1))]. 506 L(R(x \ (y \ z),u,w),x,y) = R((y * x) \ z,u,w). [para(241(a,1),49(a,1,1)),flip(a)]. 507 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(241(a,1),50(a,1,1)),flip(a)]. 508 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(73(a,1),241(a,1,1))]. 510 R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w. [para(35(a,2),296(a,1,1))]. 514 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(259(a,1),297(a,1,2))]. 519 (x * (x \ y)) * z != u | y * z = u. [para(257(a,1),302(a,1,1))]. 520 (((x * y) / z) * z) / y != u * w | x / w = u. [para(21(a,2),307(a,1,1))]. 523 (x / y) \ (z * (z \ x)) != u * w | u \ y = w. [para(240(a,1),309(a,1,2))]. 524 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(342(a,1),279(a,1,2))]. 525 K((x \ y) \ 1,y \ x) = 1. [para(342(a,1),280(a,1,2))]. 526 K(((x * y) \ x) \ 1,y) = 1. [para(18(a,1),525(a,1,2))]. 527 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(343(a,1),45(a,2,1)),flip(a)]. 528 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(350(a,1),47(a,2,1)),flip(a)]. 529 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(350(a,2),123(a,1,1))]. 530 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(19(a,2),368(a,1,2))]. 533 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(259(a,1),368(a,1,2))]. 534 (((x / y) / z) * z) * y != u * w | x / w = u. [para(21(a,2),369(a,1,1))]. 535 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(258(a,1),369(a,1,1))]. 537 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(383(a,1),220(a,1,2)),flip(b)]. 540 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(341(a,1),416(a,1,2))]. 541 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(122(a,1),416(a,1,2))]. 542 L(T(x,y),y,x) = T(x,x * y). [para(37(a,2),435(a,1,1))]. 543 T(L(x,y,x),y) = T(x,x * y). [hyper(255,a,45,a(flip),b,542,a(flip)),flip(a)]. 544 L(T(T(x,y),z),y,x) = T(T(x,x * y),z). [para(542(a,1),45(a,2,1))]. 545 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(542(a,1),49(a,1,1)),flip(a)]. 546 L(L(T(x,y),z,u),y,x) = L(T(x,x * y),z,u). [para(542(a,1),50(a,1,1)),flip(a)]. 547 x * T(y,y * x) = L(y,x,y) * x. [para(543(a,1),127(a,1,2))]. 548 (x * T(y,y * x)) / x = L(y,x,y). [para(543(a,1),167(a,1,1,2))]. 550 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(436(a,1),45(a,2,1))]. 551 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(436(a,1),49(a,1,1)),flip(a)]. 552 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(437(a,1),45(a,2,1))]. 553 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(437(a,1),279(a,1,2))]. 554 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(471(a,1),47(a,2,1))]. 555 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(472(a,1),47(a,2,1))]. 556 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(472(a,1),51(a,1,1)),flip(a)]. 557 K(x,1 / x) * L(x,1 / x,x) = x. [para(490(a,1),19(a,1,2))]. 559 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(19(a,1),547(a,1,2,2)),flip(a)]. 561 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(127(a,1),547(a,1,2,2)),flip(a)]. 562 ((x \ y) * T(x,y)) / (x \ y) = L(x,x \ y,x). [para(19(a,1),548(a,1,1,2,2))]. 563 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(557(a,1),24(a,1)),flip(a)]. 564 T(x / y,(z / y) \ z) = y \ x. [hyper(172,a,285,a,b,282,a)]. 565 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(255,a,112,a(flip),b,183,a(flip)),flip(a)]. 566 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [hyper(80,a,183,a(flip),b,112,a(flip))]. 568 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(183(a,1),29(a,2,1,2)),flip(a)]. 569 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(47(a,2),183(a,1,2,1))]. 570 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(129(a,1),183(a,1,2,1)),flip(a)]. 571 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(166(a,1),183(a,1,2,1)),flip(a)]. 572 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(128(a,1),183(a,1,2,1))]. 573 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(255,a,122,a(flip),b,184,a)]. 574 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(80,a,122,a(flip),b,184,a)]. 576 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(43(a,1),184(a,1,2,1))]. 577 R(x,y,z) * x = x * R(x,y,z). [para(126(a,1),184(a,1,2,1)),flip(a)]. 578 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(129(a,1),184(a,1,2,1)),flip(a)]. 579 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(137(a,1),184(a,1,2,1)),flip(a)]. 580 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(166(a,1),184(a,1,2,1)),flip(a)]. 581 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(128(a,1),184(a,1,2,1))]. 582 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(188(a,1),184(a,1,2,1)),flip(a)]. 583 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(542(a,2),184(a,1,2,1))]. 584 T(x,R(x,y,z)) = x. [hyper(173,a,577,a)]. 585 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(186(a,1),167(a,1,1,2))]. 586 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(187(a,1),167(a,1,1,2))]. 587 T(x / (y * x),y) = R(y \ 1,y,x). [para(163(a,1),187(a,1,1))]. 588 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(123(a,1),187(a,1,1))]. 589 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(253(a,1),187(a,1,1)),flip(a)]. 590 T((x \ y) / y,x) = R(x \ 1,x,x \ y). [para(350(a,1),187(a,1,1))]. 591 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(351(a,1),187(a,1,1)),flip(a)]. 592 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(472(a,1),187(a,1,1)),flip(a)]. 593 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(587(a,1),127(a,1,2)),flip(a)]. 594 x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. [para(587(a,1),225(a,1,2))]. 595 ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). [hyper(225,a,273,a),flip(a)]. 597 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). [hyper(80,a,273,a(flip),b,112,a)]. 598 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(273(a,2),31(a,2,1)),flip(a)]. 599 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(273(a,2),33(a,2,1)),flip(a)]. 601 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(369,a,274,a),flip(a)]. 602 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(81,a,274,a,b,xx)]. 603 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). [hyper(80,a,274,a(flip),b,104,a)]. 605 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(275(a,2),310(a,1,2))]. 608 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(21(a,1),374(a,1,1))]. 609 K(x \ 1,x) \ (x \ 1) != y | L(x \ 1,x,x \ 1) = y. [para(189(a,2),374(a,1,1))]. 611 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(127(a,1),380(a,1,2))]. 612 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(191(a,2),380(a,1,2))]. 613 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(381(a,2),199(a,1,2,2))]. 614 K(x \ (x * y),x) = K(y,x). [hyper(255,a,105,a(flip),b,387,a),flip(a)]. 615 K(x \ (x * y),z) = K(y,z). [para(61(a,1),614(a,1,1)),flip(a)]. 616 K((x / y) \ x,z) = K(y,z). [para(21(a,1),615(a,1,1,2))]. 617 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(396(a,1),304(a,1,1)),flip(b)]. 618 T((x * y) / x,y * x) = L(y,x,y). [hyper(23,a,547,a(flip),b,397,a)]. 619 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(255,a,273,a(flip),b,397,a(flip)),flip(a)]. 620 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(397(a,1),304(a,1,1)),flip(b)]. 621 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(19(a,1),618(a,1,2))]. 622 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(618(a,1),43(a,1,1)),flip(a)]. 623 ((x * y) / x) * (y * x) = (y * x) * L(y,x,y). [para(618(a,1),127(a,1,2)),flip(a)]. 624 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(400(a,1),226(a,1,1)),flip(b)]. 626 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(404(a,2),127(a,1,2))]. 627 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(129(a,1),404(a,1,1,2)),flip(a)]. 628 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(404(a,1),226(a,1,1)),flip(b)]. 629 T(x * y,(x \ 1) \ y) = x * y. [hyper(40,a,553,a)]. 632 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(81,a,99,a(flip),b,100,a)]. 633 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(19(a,1),100(a,1,1,2))]. 634 x * a(x,y,y \ 1) = (x * y) * (y \ 1). [para(64(a,1),100(a,1,1))]. 635 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(127(a,1),100(a,1,1,2))]. 636 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(100(a,1),222(a,1,2)),flip(b)]. 637 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(122(a,1),100(a,1,1))]. 639 L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). [para(127(a,1),115(a,1,2,2)),flip(a)]. 641 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(120(a,2),246(a,1,1))]. 642 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(120(a,2),250(a,1,1))]. 643 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(193(a,1),161(a,1,2))]. 644 x * a(x,y,y \ 1) = R(x,y,y \ 1). [para(643(a,1),19(a,1,2))]. 646 x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(644(a,1),222(a,1,2)),flip(b)]. 647 x \ (K(x,1 / x) * x) = a(x,1 / x,x). [para(191(a,2),164(a,1,2,1))]. 648 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(194(a,1),164(a,1,2))]. 651 L(T(x,y),y,1 / y) != z | (1 / y) * (x * y) = z. [para(179(a,1),228(a,1)),flip(b)]. 652 x * ((y * x) \ (y * (z * x))) = L(z,x,y) * x. [para(179(a,2),183(a,1,2))]. 653 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). [para(269(a,1),396(a,1,1,1)),flip(a)]. 654 L(R(x,y / z,z),u,w) * y = (L(x,u,w) * (y / z)) * z. [para(49(a,1),300(a,1,1))]. 655 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(49(a,1),311(a,1,1))]. 656 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(344(a,2),112(a,1,2))]. 657 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(220,a,349,a)]. 658 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(255,a,129,a(flip),b,352,a(flip))]. 659 T(x / (y * x),z) * (y * x) = (T(1 / y,z) * y) * x. [para(352(a,2),122(a,1,1))]. 660 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(128(a,1),358(a,1,2))]. 661 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(37(a,1),361(a,1,2,1))]. 662 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(255,a,129,a(flip),b,372,a)]. 663 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [hyper(80,a,372,a(flip),b,192,a)]. 664 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(173,a,376,a),flip(a)]. 665 T(x \ 1,y) / (x \ 1) = T(1 / x,y) * x. [hyper(81,a,378,a(flip),b,193,a)]. 666 K(x,y) = L(x \ T(x,y),x,y). [hyper(255,a,31,a,b,392,a),flip(a)]. 667 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(392(a,1),45(a,2,1))]. 669 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(127(a,2),410(a,1,2))]. 670 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(255,a,183,a(flip),b,418,a(flip))]. 671 x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z). [hyper(80,a,183,a(flip),b,418,a(flip))]. 672 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(418(a,1),24(a,1))]. 673 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(50(a,1),418(a,1,2))]. 674 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(418(a,1),222(a,1,2)),flip(b)]. 675 L(x \ y,x,y / x) = T(y / x,y). [hyper(172,a,97,a(flip),b,419,a),flip(a)]. 676 (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. [hyper(255,a,183,a(flip),b,419,a(flip))]. 677 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(439(a,1),45(a,2,1))]. 678 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(439(a,1),49(a,1,1)),flip(a)]. 679 R(x,T(y,x),(y * x) \ z) \ z = T(y,x) * ((y * x) \ z). [para(144(a,1),450(a,1,1,1))]. 680 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(451(a,1),303(a,1,2)),flip(b)]. 681 T(R(x / y,y,y \ z),z) = z \ (x * (y \ z)). [para(473(a,2),129(a,1,1))]. 682 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(474(a,1),47(a,2,1))]. 683 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(474(a,1),51(a,1,1)),flip(a)]. 685 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(474(a,1),187(a,1,1)),flip(a)]. 686 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(484(a,1),219(a,1,1)),flip(b)]. 687 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(255,a,662,a(flip),b,496,a(flip))]. 688 (1 / x) \ (x \ 1) = (x \ 1) * x. [hyper(80,a,662,a(flip),b,496,a(flip))]. 689 x * ((1 / x) * (y * x)) = L(y,x,1 / x) * x. [para(496(a,1),183(a,1,2))]. 690 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(73(a,1),687(a,1,2,1))]. 691 (1 / x) * K(x \ 1,x) = x \ 1. [para(189(a,2),687(a,1,2))]. 692 (1 / x) \ (x \ 1) = K(x \ 1,x). [hyper(255,a,189,a,b,688,a)]. 693 K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1). [hyper(80,a,691,a(flip),b,140,a(flip)),flip(a)]. 694 (x \ 1) \ ((1 / x) * (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [para(691(a,1),33(a,2,1)),flip(a)]. 695 K(x \ 1,x) * y != x \ 1 | T(1 / x,K(x \ 1,x)) = y. [para(691(a,1),173(a,2))]. 696 (x \ 1) * L(y,K(x \ 1,x),1 / x) = (1 / x) * (K(x \ 1,x) * y). [para(691(a,1),112(a,1,1))]. 697 (x * (y \ 1)) / L(K(y \ 1,y),1 / y,x) = x * (1 / y). [para(691(a,1),143(a,1,1,2))]. 699 x / L(K(y \ 1,y),1 / y,x / (y \ 1)) = (x / (y \ 1)) * (1 / y). [para(692(a,1),446(a,1,2,1))]. 702 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(544(a,1),112(a,1,2))]. 703 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(18(a,1),588(a,2,1)),flip(a)]. 704 T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). [para(588(a,1),185(a,1,1))]. 705 T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. [para(589(a,1),122(a,1,1))]. 706 T((x \ y) / y,x) * y = ((x \ 1) * x) * (x \ y). [para(590(a,2),311(a,1,1))]. 707 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(18(a,1),592(a,1,1)),flip(a)]. 708 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(21(a,1),593(a,1,1,2)),flip(a)]. 709 R(x \ 1,x,y) \ ((y / (x * y)) * x) != z | T(x,R(x \ 1,x,y)) = z. [para(593(a,2),223(a,1,2))]. 710 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(593(a,1),272(a,1,1))]. 711 T(K(x,1 / x),x) = a(x,1 / x,x). [hyper(223,a,647,a)]. 713 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(19(a,1),657(a,1,1,2))]. 714 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(703(a,2),127(a,1,2)),flip(a)]. 715 T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). [para(136(a,1),703(a,2,1)),flip(a)]. 716 T(R(x,y,x),y * x) = T(x,y). [para(703(a,2),202(a,1,1))]. 717 R(x,y,x) * (y * x) = (y * x) * T(x,y). [para(703(a,2),397(a,1,1))]. 718 R(T(x,y * x),y,x) = T(x,y). [hyper(255,a,47,a,b,716,a(flip)),flip(a)]. 719 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(716(a,1),183(a,1,2,1)),flip(a)]. 720 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(716(a,1),184(a,1,2,1)),flip(a)]. 721 R(T(x,y),y / x,x) = T(x,y / x). [para(21(a,1),718(a,1,1,2))]. 722 x * R(T(y,x * y),x,y) = y * x. [para(718(a,2),127(a,1,2))]. 724 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(718(a,1),122(a,1,1)),flip(a)]. 725 R(x,1 / x,x) = T(x,1 / x). [para(153(a,1),721(a,1,1))]. 726 T(x,1 / x) / x = K(x,1 / x). [hyper(81,a,725,a(flip),b,503,a)]. 727 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(725(a,1),51(a,1,1)),flip(a)]. 728 x \ T(x,1 / x) = a(x,1 / x,x). [para(725(a,1),648(a,1,2))]. 729 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [para(707(a,1),167(a,1,1,2))]. 730 (x * y) * T(y,x) = (y * x) * y. [hyper(255,a,122,a(flip),b,717,a(flip))]. 731 (x * (y / x)) * x = y * T(x,y / x). [hyper(308,a,730,a),flip(a)]. 732 ((x \ 1) * x) \ x = T(x,x \ 1). [hyper(80,a,62,a(flip),b,730,a)]. 733 K(x \ 1,x) \ x = T(x,x \ 1). [para(189(a,2),732(a,1,1))]. 734 K(x \ 1,x) \ x = (x \ 1) \ 1. [hyper(255,a,128,a(flip),b,733,a)]. 735 K(x \ 1,x) * ((x \ 1) \ 1) = x. [para(734(a,1),19(a,1,2))]. 736 K(x,1 / x) \ (1 / x) = ((1 / x) \ 1) \ 1. [para(73(a,1),734(a,1,1,1))]. 737 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(255,a,47,a,b,130,a),flip(a)]. 739 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(49(a,2),224(a,1,2))]. 741 K(x \ 1,x) * L(y,x,x \ 1) != z | (x \ 1) * (x * y) = z. [para(189(a,2),224(a,1,1))]. 747 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(127(a,1),230(a,1,2))]. 749 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(104(a,1),422(a,1,1)),flip(a)]. 751 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(66(a,1),431(a,1,2))]. 752 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(112(a,1),431(a,1,2,2))]. 754 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(100(a,1),431(a,1,2,2))]. 757 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(263(a,1),454(a,2,2))]. 758 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(691(a,1),454(a,2,2))]. 759 x / (y * z) != u | R((x / z) / y,y,z) = u. [para(78(a,1),466(a,1,1))]. 761 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(189(a,2),537(a,1,2))]. 762 L(1 / x,x,y) * x = x * ((y * x) \ y). [hyper(255,a,340,a(flip),b,570,a)]. 763 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [hyper(81,a,340,a(flip),b,570,a)]. 764 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(342(a,1),570(a,2,2))]. 765 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(19(a,1),763(a,1,1,2,1))]. 767 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(96,a,571,a),flip(a)]. 768 L((x * (y \ 1)) / x,y,z) = (x * ((z * y) \ z)) / x. [hyper(81,a,340,a(flip),b,571,a),flip(a)]. 769 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(81,a,112,a(flip),b,571,a),flip(a)]. 771 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(578(a,1),193(a,1,1))]. 772 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(269(a,1),578(a,1,1,1)),flip(a)]. 773 T(x,R(T(x,y),z,u)) = x. [hyper(173,a,579,a)]. 774 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(230,a,580,a)]. 775 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(96,a,580,a),flip(a)]. 777 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(81,a,580,a(flip),b,311,a(flip))]. 778 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(81,a,580,a(flip),b,122,a(flip))]. 780 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(585(a,1),226(a,1,1)),flip(b)]. 782 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(241(a,1),585(a,1,1,2)),flip(a)]. 784 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(666(a,2),585(a,1,1,2)),flip(a)]. 785 ((x \ y) * (y \ (x * z))) / (x \ y) = L(z / (x \ y),x \ y,x). [para(439(a,1),585(a,1,1,2))]. 786 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(33(a,2),586(a,1,1,2,1))]. 787 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(73(a,1),586(a,1,1,2,1))]. 788 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(586(a,1),226(a,1,1)),flip(b)]. 789 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(129(a,1),626(a,1,2,1,2)),flip(a)]. 790 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(128(a,1),626(a,1,2,1,2))]. 791 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(627(a,1),167(a,1,1,2))]. 792 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(627(a,1),168(a,1,2,2))]. 793 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(255,a,396,a(flip),b,665,a)]. 794 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(255,a,73,a(flip),b,690,a)]. 796 (1 / (1 / x)) * K(x,1 / x) = x. [para(191(a,2),794(a,1,2))]. 798 K(x,1 / x) \ (1 / x) = x \ 1. [para(73(a,1),736(a,2,1))]. 799 K(x,1 / x) * (x \ 1) = 1 / x. [para(798(a,1),19(a,1,2))]. 800 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(129(a,1),737(a,1,1,1)),flip(a)]. 801 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(767(a,2),226(a,1,1)),flip(b)]. 802 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(767(a,1),112(a,1,2))]. 803 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(343(a,1),767(a,2,1,2))]. 804 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(436(a,1),767(a,2,1,2))]. 805 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(437(a,1),767(a,2,1,2))]. 806 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(439(a,1),767(a,2,1,2))]. 807 R((x * y) / x,z,u) * x != w | x * R(y,z,u) = w. [para(775(a,2),226(a,1,1)),flip(b)]. 808 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(163(a,1),775(a,2,1,2))]. 809 ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. [para(775(a,1),122(a,1,1))]. 810 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(253(a,1),775(a,2,1,2))]. 812 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(471(a,1),775(a,2,1,2))]. 813 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(472(a,1),775(a,2,1,2))]. 814 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(775(a,1),230(a,1,1))]. 815 T(x * T(x \ 1,y),x \ 1) = (x \ 1) \ T(x \ 1,y). [para(793(a,1),129(a,1,1))]. 816 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(731(a,1),102(a,1,2))]. 817 R(x,y,(x * y) \ z) \ z != u | y * ((x * y) \ z) = u. [para(121(a,2),219(a,1,1)),flip(b)]. 818 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(255,a,404,a(flip),b,181,a(flip)),flip(a)]. 819 T(R(x,y,T(x,y)),x * y) = T(x,y). [para(181(a,1),166(a,1,1))]. 820 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(255,a,47,a,b,819,a(flip)),flip(a)]. 821 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(345(a,2),112(a,1,2))]. 822 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(255,a,114,a(flip),b,346,a)]. 823 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(339(a,1),346(a,1,1)),flip(a)]. 824 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(346(a,1),112(a,1,2))]. 826 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(19(a,1),823(a,1,1,1))]. 827 R(x / (y * x),z,u) * (y * x) = (R(1 / y,z,u) * y) * x. [para(353(a,1),122(a,1,1))]. 831 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(114(a,1),427(a,1,2,1))]. 832 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(241(a,1),427(a,1,2,1))]. 833 x * (y * T(y \ T(y,x),z)) = (x * y) * T(K(y,x),z). [para(666(a,2),427(a,1,2,1)),flip(a)]. 834 x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). [hyper(362,a,430,a),flip(a)]. 835 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [para(50(a,1),430(a,1,2))]. 836 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(345(a,2),430(a,1,2))]. 837 (x * y) * L((y * T(x,y)) \ y,z,u) = y * (T(x,y) * L(T(x,y) \ 1,z,u)). [para(346(a,1),430(a,1,2))]. 838 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(127(a,1),442(a,1,1,1)),flip(a)]. 839 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(442(a,2),224(a,1,2))]. 840 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(443(a,1),49(a,1,1)),flip(a)]. 841 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(443(a,1),50(a,1,1)),flip(a)]. 842 (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). [para(253(a,1),459(a,1,1,1)),flip(a)]. 843 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(820(a,1),462(a,1,1)),flip(a)]. 844 R(T((x * y) / x,z),x,y) * (x * y) = (x * y) * T(y,z). [para(475(a,1),397(a,1,1))]. 845 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(476(a,1),626(a,1,2,1,2)),flip(a)]. 846 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [para(476(a,1),737(a,2,1))]. 847 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(127(a,1),486(a,1,2))]. 848 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(437(a,1),493(a,1,2,1)),flip(a)]. 849 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(505(a,1),224(a,1,2))]. 851 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(527(a,2),419(a,1,2)),flip(a)]. 852 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(528(a,2),311(a,1,1))]. 854 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(546(a,1),112(a,1,2))]. 855 (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). [hyper(366,a,550,a)]. 856 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(255,a,496,a(flip),b,550,a(flip)),flip(a)]. 857 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(80,a,550,a(flip),b,192,a)]. 858 T((1 / x) * (x * y),x) = (1 / x) * (y * x). [para(18(a,1),856(a,1,2,1)),flip(a)]. 859 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(255,a,494,a(flip),b,552,a(flip)),flip(a)]. 860 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(80,a,552,a(flip),b,494,a(flip))]. 861 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(81,a,554,a(flip),b,194,a),flip(a)]. 862 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(81,a,555,a(flip),b,193,a)]. 864 ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). [para(196(a,1),562(a,1,1,2))]. 865 L(x,x \ y,x) * (x \ y) != z | (x \ y) * T(x,y) = z. [para(562(a,1),226(a,1,1)),flip(b)]. 866 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(162(a,1),565(a,2,1)),flip(a)]. 867 R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). [hyper(80,a,100,a(flip),b,573,a),flip(a)]. 868 (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. [para(573(a,1),24(a,1)),flip(a)]. 870 T(x / y,y / x) * y = (((y / x) \ 1) * (y / x)) * x. [para(591(a,1),300(a,1,1))]. 871 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(255,a,45,a,b,622,a)]. 872 L(((x * y) * x) / (x * y),y,x) = (y * x) / y. [hyper(23,a,571,a,b,623,a),flip(a)]. 873 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(70(a,1),624(a,1,1,1))]. 874 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(665(a,2),624(a,1))]. 875 T(x / (x / y),z) * (x / y) != u | (x / y) * T(y,z) = u. [para(21(a,1),628(a,1,1,1,1))]. 876 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(127(a,1),632(a,1,1))]. 877 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(81,a,633,a(flip),b,127,a)]. 878 x \ ((x / y) * ((y \ 1) * y)) = T(x \ (x / y),y). [hyper(255,a,527,a,b,639,a(flip))]. 880 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(342(a,1),671(a,1,2,1)),flip(a)]. 881 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [para(439(a,1),671(a,1,2,1)),flip(a)]. 882 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(255,a,47,a,b,681,a(flip)),flip(a)]. 884 ((x * T(y,x * y)) * y) / (x * y) = y. [hyper(23,a,722,a(flip),b,714,a)]. 885 (x * T(y,x * y)) * y = y * (x * y). [para(884(a,1),21(a,1,1)),flip(a)]. 886 (x * (y * x)) / x = y * T(x,y * x). [para(884(a,1),77(a,1,1,1))]. 887 T(x * T(y,x * y),y) = x * y. [hyper(172,a,885,a,b,xx)]. 890 T((x / y) * T(y,(x / y) * y),y) = x. [hyper(255,a,21,a(flip),b,887,a)]. 891 x \ ((y * (x * y)) / y) != z | T(y,x * y) = z. [para(886(a,2),222(a,1,2)),flip(b)]. 892 T((x / y) * T(y,x),y) = x. [para(21(a,1),890(a,1,1,2,2))]. 893 T(x * T(x \ y,y),x \ y) = y. [para(70(a,1),892(a,1,1,1))]. 894 (x / y) * T(y,x) = (y * x) / y. [para(892(a,1),167(a,1,1,2)),flip(a)]. 895 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [para(893(a,1),167(a,1,1,2))]. 896 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(172,a,894,a,b,19,a),flip(a)]. 897 ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). [hyper(81,a,894,a(flip),b,127,a)]. 899 T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z. [para(894(a,1),223(a,1,2))]. 900 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(347(a,1),894(a,1,1)),flip(a)]. 901 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(375(a,1),894(a,1,1)),flip(a)]. 902 T(x,y * T(y \ x,x)) = x. [para(895(a,1),207(a,1,2))]. 903 T(x,(x * y) * L(T(y \ 1,x),y,x)) = x. [para(344(a,1),902(a,1,2,2))]. 904 T(x,x * (y * T(y \ 1,x))) = x. [para(112(a,1),903(a,1,2))]. 905 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(21(a,1),782(a,2,1,2,1))]. 906 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(37(a,2),782(a,2,1,2))]. 907 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(177(a,1),782(a,2,1,2))]. 908 L(((x * y) * x) / (x * y),y,x) * y = y * x. [para(872(a,2),21(a,1,1))]. 909 (x \ (y * (z \ x))) * x = (T(y / z,x) * z) * (z \ x). [para(882(a,1),311(a,1,1))]. 910 (x * y) \ (x * ((((x * y) * x) / (x * y)) * y)) = x. [hyper(22,a,652,a,b,908,a(flip)),flip(a)]. 911 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [hyper(81,a,274,a(flip),b,399,a)]. 912 K((x * y) \ 1,x * y) \ ((((x * y) \ 1) * x) * y) != z | a((x * y) \ 1,x,y) = z. [para(189(a,2),636(a,1,1))]. 913 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [hyper(624,a,706,a),flip(a)]. 914 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(255,a,385,a,b,789,a(flip)),flip(a)]. 915 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(18(a,1),791(a,1,1,2,1,2))]. 916 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(791(a,1),226(a,1,1)),flip(b)]. 917 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(73(a,1),792(a,1,2,2,1,2))]. 918 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(123(a,1),800(a,1,1,1))]. 919 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(476(a,1),800(a,1,1)),flip(a)]. 920 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(172,a,843,a,b,xx)]. 922 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(661,a,848,a),flip(a)]. 923 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(87,a,848,a)]. 924 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(17(a,1),848(a,2,2,1))]. 925 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(19(a,1),848(a,2,2,1))]. 926 T(1 / (x \ 1),y) * (x \ 1) = x \ T(x,y). [hyper(401,a,924,a)]. 927 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(255,a,398,a(flip),b,924,a(flip)),flip(a)]. 928 (x / y) \ T(x / y,y) = (y \ x) * ((x / y) \ 1). [para(129(a,1),927(a,1,1)),flip(a)]. 929 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(927(a,1),178(a,1,2,2))]. 930 (1 / x) \ T((1 / x) * y,z) != u * w | u \ (x * T(x \ y,z)) = w. [para(855(a,1),309(a,1,2))]. 931 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(19(a,1),857(a,1,2,1)),flip(a)]. 933 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(21(a,1),860(a,1,2,1))]. 934 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(628,a,861,a),flip(a)]. 935 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(624,a,861,a)]. 936 (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). [hyper(80,a,861,a(flip),b,396,a(flip))]. 937 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [para(16(a,1),861(a,2,1,1))]. 938 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(129(a,1),861(a,1,1)),flip(a)]. 939 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(624,a,937,a)]. 940 (1 / x) * T(x,y) = T(x,y) / x. [hyper(255,a,399,a(flip),b,937,a(flip)),flip(a)]. 941 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(81,a,937,a(flip),b,399,a(flip))]. 942 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(80,a,937,a(flip),b,399,a(flip))]. 943 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(937(a,1),624(a,1))]. 944 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(172,a,940,a,b,19,a),flip(a)]. 945 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(255,a,274,a(flip),b,940,a(flip))]. 946 T(x / y,y) / (x / y) = (1 / (x / y)) * (y \ x). [para(129(a,1),940(a,1,2)),flip(a)]. 948 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(940(a,1),618(a,1,2))]. 949 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(608,a,944,a)]. 950 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(128(a,1),945(a,1,1)),flip(a)]. 951 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(255,a,396,a(flip),b,862,a)]. 952 (x / y) * ((y \ 1) * y) = x * T(x \ (x / y),y). [para(878(a,1),19(a,1,2)),flip(a)]. 953 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(255,a,387,a,b,880,a),flip(a)]. 954 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(80,a,387,a,b,880,a),flip(a)]. 955 x * ((((x * y) * x) / (x * y)) * y) = (x * y) * x. [para(910(a,1),19(a,1,2)),flip(a)]. 956 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(189(a,2),913(a,1,1))]. 957 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [para(922(a,1),19(a,1,2)),flip(a)]. 958 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(923(a,1),220(a,1,2)),flip(b)]. 959 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(81,a,925,a(flip),b,396,a)]. 960 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [para(129(a,1),928(a,1,2)),flip(a)]. 961 ((x * y) / x) \ (x \ (x * y)) = y * (((x * y) / x) \ 1). [para(18(a,1),960(a,1,1)),flip(a)]. 962 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(960(a,1),24(a,1))]. 963 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(931(a,1),388(a,1,2))]. 965 (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). [para(21(a,1),936(a,1,2,1,1))]. 966 (1 / x) * T((1 / x) \ y,z) != u | T(y * x,z) / x = u. [para(936(a,1),220(a,1,2)),flip(b)]. 967 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(21(a,1),938(a,1,1,1)),flip(a)]. 968 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [para(129(a,1),946(a,1,1)),flip(a)]. 969 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(172,a,968,a,b,19,a),flip(a)]. 970 ((x / y) \ x) / (x / (x / y)) = (1 / (x / (x / y))) * y. [para(73(a,1),968(a,1,2)),flip(a)]. 972 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(255,a,848,a(flip),b,951,a)]. 973 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(951(a,1),21(a,1,1))]. 974 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(189(a,2),952(a,1,2))]. 975 T(x,x * K(y,x)) = x. [para(953(a,2),904(a,1,2,2))]. 977 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z. [para(954(a,2),220(a,1,2)),flip(b)]. 978 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(162(a,2),954(a,1,1,1))]. 979 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). [para(954(a,1),793(a,1,1))]. 980 (((x * y) * x) / (x * y)) * y = T(x * y,x). [hyper(173,a,955,a),flip(a)]. 981 ((x * y) * x) / (x * y) = T(x * y,x) / y. [hyper(96,a,980,a),flip(a)]. 982 T(T(x * y,x) / y,x * y) = x. [para(981(a,1),166(a,1,1))]. 983 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(981(a,1),818(a,1,1))]. 984 T(T(x,x / y) / y,(x / y) * y) = x / y. [para(21(a,1),982(a,1,1,1,1))]. 985 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(193(a,1),982(a,1,1,1,1))]. 986 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(255,a,129,a(flip),b,983,a(flip)),flip(a)]. 987 x * R(y,x,T(y,x)) = T(y * x,y). [para(983(a,1),171(a,1,2))]. 988 T(T(x,x / y) / y,x) = x / y. [para(21(a,1),984(a,1,2))]. 989 T(x,x / y) / y = (x * (x / y)) / x. [para(988(a,1),167(a,1,1,2)),flip(a)]. 990 T(x \ T(y,y / x),y) = T(y / x,x). [para(988(a,1),185(a,1,1)),flip(a)]. 991 ((x * (x / y)) / x) * y = T(x,x / y). [para(989(a,1),21(a,1,1))]. 992 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(989(a,1),226(a,1,1)),flip(b)]. 993 T(x \ T(y,y / x),y) = x \ y. [hyper(255,a,129,a(flip),b,990,a)]. 994 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(70(a,1),993(a,1,1,2,2))]. 995 x \ T(y,y / x) = (y * (x \ y)) / y. [para(993(a,1),167(a,1,1,2)),flip(a)]. 996 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(255,a,789,a(flip),b,991,a(flip)),flip(a)]. 997 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(995(a,1),220(a,1,2)),flip(b)]. 998 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(73(a,1),996(a,1,2,1,2))]. 999 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(782(a,2),996(a,1,2))]. 1000 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(167(a,1),998(a,1,2)),flip(a)]. 1002 K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(967(a,1),106(a,1,1)),flip(a)]. 1003 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(940(a,1),295(a,1,2,2))]. 1004 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(114(a,1),428(a,1,2,1))]. 1005 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(241(a,1),428(a,1,2,1))]. 1006 x * (T(y,x) * L(z,x,y)) = y * (x * L(z,T(y,x),x)). [hyper(255,a,430,a(flip),b,429,a(flip)),flip(a)]. 1007 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(114(a,1),429(a,1,2,1))]. 1008 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(241(a,1),429(a,1,2,1))]. 1009 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(255,a,97,a(flip),b,433,a)]. 1010 K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(505(a,1),433(a,1,2))]. 1011 L(x / (y * x),z,u) * (y * x) = (L(1 / y,z,u) * y) * x. [para(163(a,1),460(a,1,1,1))]. 1012 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(123(a,1),460(a,1,1,1))]. 1013 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(253(a,1),460(a,1,1,1)),flip(a)]. 1014 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(123(a,1),461(a,1,1,1))]. 1015 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(927(a,1),487(a,1,1,1))]. 1016 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(491(a,2),24(a,1))]. 1017 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(437(a,1),491(a,1,2,1)),flip(a)]. 1018 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(437(a,1),492(a,1,2,1)),flip(a)]. 1019 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(494(a,1),492(a,1,2,1))]. 1020 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(339(a,1),495(a,1,2,1))]. 1021 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(436(a,1),495(a,1,2,1))]. 1022 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(662(a,1),495(a,1,2,1))]. 1023 L(x \ 1,y,z) / (x \ 1) = L(1 / x,y,z) * x. [para(348(a,1),498(a,1,1,1))]. 1024 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(472(a,1),498(a,1,1,1))]. 1025 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [hyper(255,a,762,a(flip),b,1023,a)]. 1026 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(1025(a,1),21(a,1,1))]. 1027 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [para(1025(a,1),73(a,1,1))]. 1028 ((x * y) \ x) / (y \ 1) = y * ((x * y) \ x). [para(162(a,1),1025(a,1,1))]. 1029 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [para(1028(a,1),21(a,1,1))]. 1030 ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). [para(1029(a,1),104(a,1,1))]. 1032 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1026(a,1),31(a,2,1)),flip(a)]. 1033 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(19(a,1),1027(a,1,1,2,1))]. 1034 R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. [para(501(a,2),25(a,1))]. 1035 R(1 / (1 / x),y,z) * (1 / x) = R(x / 1,y,z) / x. [para(351(a,1),501(a,1,1,1)),flip(a)]. 1036 L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). [para(352(a,2),502(a,1,1,1))]. 1037 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(725(a,1),502(a,1,1,1))]. 1038 T(L(x,y,z),1 / x) / x = L(x,y,z) * (1 / x). [para(45(a,1),1037(a,1,1))]. 1039 (1 / x) \ (L(x,y,z) / x) = L(x,y,z). [hyper(23,a,967,a,b,1038,a(flip)),flip(a)]. 1040 (1 / x) * L(x,y,z) = L(x,y,z) / x. [para(1039(a,1),19(a,1,2))]. 1041 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [para(1039(a,1),70(a,1,2))]. 1042 L(x,y,z) \ (L(x,y,z) / x) = T(1 / x,L(x,y,z)). [hyper(172,a,1040,a,b,19,a),flip(a)]. 1044 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1040(a,1),114(a,2,1))]. 1045 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(1040(a,1),618(a,1,2))]. 1047 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(506(a,1),433(a,1,2))]. 1048 (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. [para(507(a,1),224(a,1,2))]. 1049 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(507(a,1),433(a,1,2))]. 1050 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(366,a,551,a)]. 1051 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(677(a,1),418(a,1,2)),flip(a)]. 1052 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(682(a,1),300(a,1,1)),flip(a)]. 1053 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(768(a,1),112(a,1,2))]. 1054 (x * y) * ((z * ((x * y) \ x)) / z) != u | x * (y * ((z * (y \ 1)) / z)) = u. [para(768(a,1),224(a,1,2))]. 1055 (x * y) * L((x * (y \ 1)) / x,y,x) = T(x,x / (x * y)). [para(768(a,2),996(a,1,2))]. 1056 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(350(a,1),777(a,1,1,2))]. 1057 L(T(x / y,z),u,w) * y != v5 | y * L(T(y \ x,z),u,w) = v5. [para(400(a,1),801(a,1,1,1))]. 1059 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(808(a,1),122(a,1,1))]. 1061 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(18(a,1),919(a,1,1,1)),flip(a)]. 1062 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(978(a,2),377(a,1,2)),flip(a)]. 1063 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(224,a,999,a)]. 1064 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(1009(a,1),24(a,1)),flip(a)]. 1068 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(545(a,1),569(a,1,2))]. 1069 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(22,a,184,a,b,581,a),flip(a)]. 1070 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(80,a,1069,a(flip),b,312,a),flip(a)]. 1072 (x * y) * T((x * y) \ y,z) = (T(1 / x,z) * x) * y. [hyper(624,a,659,a)]. 1073 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(361,a,702,a),flip(a)]. 1074 T(x,y) * (x * z) = x * (T(x,y) * z). [para(182(a,1),1073(a,1,2)),flip(a)]. 1075 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(533,a,1074,a)]. 1076 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(530,a,1074,a),flip(a)]. 1077 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(514,a,1074,a)]. 1078 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(310,a,1074,a),flip(a)]. 1079 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(255,a,97,a(flip),b,1074,a)]. 1080 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(172,a,1074,a,b,242,a)]. 1081 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(80,a,97,a(flip),b,1074,a)]. 1082 x * (T(x,y) \ (x \ z)) = T(x,y) \ z. [hyper(80,a,66,a(flip),b,1074,a),flip(a)]. 1083 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(80,a,64,a(flip),b,1074,a),flip(a)]. 1084 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(21(a,1),1074(a,1,2)),flip(a)]. 1086 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(127(a,1),1074(a,1,2)),flip(a)]. 1087 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(129(a,1),1074(a,1,1)),flip(a)]. 1089 (T(x,y) \ 1) \ (T(x,y) \ x) = T(x,T(x,y) \ 1). [hyper(172,a,1083,a,b,19,a),flip(a)]. 1090 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(96,a,1083,a)]. 1091 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(87,a,1083,a)]. 1092 T(x / y,y) \ (x / y) = (x / y) * ((y \ x) \ 1). [para(129(a,1),1083(a,1,2,1)),flip(a)]. 1093 x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z. [para(1083(a,1),222(a,1,2)),flip(b)]. 1095 L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). [para(1083(a,1),192(a,1,2)),flip(a)]. 1096 T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). [para(1083(a,1),858(a,1,1,2))]. 1097 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(1090(a,1),959(a,2,1))]. 1098 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(87,a,1076,a)]. 1099 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(1077(a,1),89(a,1,1)),flip(a),flip(b)]. 1100 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(355,a,1079,a),flip(a)]. 1101 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(22,a,418,a,b,1079,a)]. 1102 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(22,a,264,a,b,1079,a)]. 1103 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(1079(a,1),222(a,1,2)),flip(b)]. 1104 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(129(a,1),1100(a,1,2,1))]. 1105 T(x,x \ y) \ (x * z) = x * (((x \ y) \ y) \ z). [para(128(a,1),1081(a,2,2,1))]. 1106 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(1098(a,2),220(a,1,2)),flip(b)]. 1107 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(1098(a,1),297(a,1,2))]. 1108 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(172,a,724,a,b,1086,a)]. 1109 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(22,a,418,a,b,1086,a)]. 1111 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(1097(a,1),21(a,1,1))]. 1112 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(129(a,1),1104(a,2,2))]. 1113 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(18(a,1),1112(a,1,2,1))]. 1114 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(129(a,1),1111(a,1,1)),flip(a)]. 1115 T(x,y) = ((x * y) / x) * (y \ x). [para(18(a,1),1113(a,2,2)),flip(a)]. 1116 T(x,y) / (y \ x) = (x * y) / x. [hyper(81,a,1115,a,b,xx)]. 1117 ((x * y) / x) \ T(x,y) = y \ x. [hyper(80,a,1115,a,b,xx)]. 1118 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(21(a,1),1115(a,2,1,1)),flip(a)]. 1120 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(354(a,1),1115(a,2,2)),flip(a)]. 1121 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(379(a,1),1115(a,2,2)),flip(a)]. 1122 T(x * y,y) / T(x,y) = ((x * y) * y) / (x * y). [para(37(a,2),1116(a,1,2))]. 1125 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(81,a,166,a(flip),b,1118,a),flip(a)]. 1127 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(18(a,1),1106(a,1,2,2))]. 1128 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(1100(a,1),1106(a,1))]. 1129 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(1100(a,1),1127(a,1))]. 1130 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(396(a,1),1084(a,1,2))]. 1131 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [para(129(a,1),1092(a,1,1)),flip(a)]. 1132 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(255,a,950,a(flip),b,1131,a(flip)),flip(a)]. 1133 (x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1). [para(18(a,1),1131(a,1,2,1)),flip(a)]. 1134 ((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1). [para(73(a,1),1131(a,1,2,1)),flip(a)]. 1135 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(944(a,1),1102(a,1,2))]. 1137 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(1130(a,2),24(a,2))]. 1138 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(624,a,705,a)]. 1139 (1 / x) \ (((1 / x) \ 1) \ T((1 / x) \ 1,y)) = x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1). [hyper(80,a,815,a(flip),b,855,a)]. 1140 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(87,a,851,a)]. 1141 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(624,a,852,a),flip(a)]. 1142 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(408,a,866,a)]. 1143 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(81,a,1142,a,b,396,a)]. 1144 (((x / y) \ 1) * (x / y)) * y = x * T(x \ y,x / y). [hyper(624,a,870,a),flip(a)]. 1145 (x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x). [para(396(a,1),909(a,2,1))]. 1146 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [para(18(a,1),961(a,1,2)),flip(a)]. 1147 x \ (((y * x) / y) \ x) = ((y * x) / y) \ 1. [hyper(87,a,1146,a)]. 1148 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(407(a,1),1146(a,1,2,1)),flip(a)]. 1149 (1 / (x / (x / y))) * y = y / (x / (x / y)). [para(73(a,1),970(a,1,1)),flip(a)]. 1150 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(17(a,1),1017(a,2,2,1))]. 1151 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(241(a,1),1017(a,1,2)),flip(a)]. 1152 T(x,y) \ L(T(x,y) * (T(x,y) \ x),z,u) = (T(x,y) \ 1) * L(T(x,T(x,y) \ 1),z,u). [para(1089(a,1),1017(a,1,2,1)),flip(a)]. 1153 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(255,a,572,a(flip),b,1150,a(flip)),flip(a)]. 1154 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(80,a,1150,a(flip),b,572,a(flip))]. 1155 L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [para(1153(a,1),593(a,1,1,2)),flip(a)]. 1156 x \ T(x * (x \ L(x,y,z)),u) = T(L(x,y,z),u) * (x \ 1). [para(1153(a,1),922(a,1,2,1,2))]. 1157 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(342(a,1),1154(a,1,1))]. 1158 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(17(a,1),1018(a,2,2,1))]. 1159 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(255,a,581,a(flip),b,1158,a(flip)),flip(a)]. 1160 (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). [hyper(81,a,1158,a(flip),b,581,a(flip))]. 1161 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(80,a,1158,a(flip),b,581,a(flip))]. 1162 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(81,a,1159,a(flip),b,184,a)]. 1163 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(1159(a,1),104(a,1,1))]. 1164 R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [para(1159(a,1),593(a,1,1,2)),flip(a)]. 1165 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1159(a,1),627(a,2,1))]. 1167 x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). [para(19(a,1),1021(a,1,2,1)),flip(a)]. 1168 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(255,a,183,a(flip),b,1022,a)]. 1169 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(342(a,1),1168(a,1,2)),flip(a)]. 1170 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(255,a,570,a(flip),b,1024,a)]. 1171 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [para(68(a,1),1035(a,2,1,1))]. 1172 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(788,a,1171,a)]. 1173 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(255,a,582,a(flip),b,1171,a(flip)),flip(a)]. 1174 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [hyper(302,a,1173,a),flip(a)]. 1175 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(172,a,1173,a,b,19,a),flip(a)]. 1176 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1173(a,1),173(a,2)),flip(a)]. 1177 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1173(a,1),114(a,2,1))]. 1178 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1175(a,1),642(a,1,1,2))]. 1179 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(17(a,1),1050(a,2,1))]. 1180 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(87,a,1179,a)]. 1181 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(80,a,351,a(flip),b,1179,a),flip(a)]. 1182 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(22,a,644,a,b,1179,a)]. 1184 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(593(a,2),1179(a,1,2))]. 1185 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(255,a,163,a(flip),b,1184,a)]. 1186 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(172,a,1185,a,b,19,a),flip(a)]. 1188 x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. [para(1180(a,1),646(a,1))]. 1189 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(255,a,789,a(flip),b,1056,a)]. 1190 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(396(a,1),1072(a,2,1))]. 1191 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(129(a,1),1087(a,1,2,1))]. 1192 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(166(a,1),1087(a,1,2,1)),flip(a)]. 1193 (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). [hyper(533,a,1191,a)]. 1194 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [para(18(a,1),1133(a,1,1)),flip(a)]. 1195 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [para(73(a,1),1134(a,1,1)),flip(a)]. 1196 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(255,a,968,a(flip),b,1195,a(flip)),flip(a)]. 1197 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [hyper(255,a,656,a(flip),b,1138,a(flip))]. 1198 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(70(a,1),1197(a,1,1,1,2)),flip(a)]. 1199 ((x \ R(1 / y,y,x)) * x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(163(a,2),1197(a,1,1,1,2))]. 1200 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(669,a,1140,a)]. 1201 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(80,a,388,a(flip),b,1140,a(flip))]. 1203 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(255,a,939,a(flip),b,1200,a)]. 1204 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(255,a,924,a(flip),b,1200,a)]. 1205 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(81,a,1200,a,b,396,a)]. 1206 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(944(a,1),1200(a,1,1))]. 1207 T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x). [para(1200(a,2),1086(a,1,2)),flip(a)]. 1209 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1116(a,1),1201(a,1,2,1,2))]. 1210 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(1203(a,2),21(a,1,1)),flip(a)]. 1211 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(587(a,1),1203(a,2,1))]. 1212 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(969(a,1),1203(a,1,1))]. 1213 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(129(a,1),1204(a,2,2))]. 1214 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(166(a,1),1204(a,2,2))]. 1215 K(R(x \ 1,y,z) \ (x * R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(1174(a,1),1204(a,1,1,2))]. 1217 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(1161(a,1),1213(a,2,2))]. 1218 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(396(a,1),1141(a,1,1))]. 1219 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(926(a,1),1141(a,1,1))]. 1220 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(189(a,2),1144(a,1,1))]. 1221 (x \ (y \ x)) * x = (y * T(y \ 1,x)) * (y \ x). [para(16(a,1),1145(a,1,1,2))]. 1222 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [hyper(172,a,1221,a(flip),b,263,a)]. 1224 T(x * T(x \ 1,L(x,y,z)),x \ L(x,y,z)) = K(x \ 1,L(x,y,z)). [para(1154(a,1),1222(a,2,1))]. 1225 L(x \ ((1 / x) \ y),z,u) = x \ ((1 / x) \ L(y,z,u)). [hyper(87,a,1167,a),flip(a)]. 1226 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(73(a,1),1170(a,1,1,1,2))]. 1227 T(x,x * T(x \ 1,y)) = x. [hyper(172,a,656,a(flip),b,1190,a(flip))]. 1228 T(x,(x \ 1) * x) = x. [para(127(a,1),1227(a,1,2))]. 1229 T(x,K(x \ 1,x)) = x. [para(289(a,1),1227(a,1,2))]. 1230 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1227(a,1),721(a,1,1))]. 1231 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(398(a,1),1227(a,1,2))]. 1232 T(x \ 1,x \ T(x,y)) = x \ 1. [para(924(a,1),1227(a,1,2))]. 1233 T(1 / x,T(x,y) / x) = 1 / x. [para(939(a,1),1227(a,1,2))]. 1234 R(x,x \ 1,x) = T(x,x \ 1). [para(1228(a,1),718(a,1,1))]. 1235 K(x \ 1,x) * x = x * K(x \ 1,x). [para(1229(a,1),127(a,1,2))]. 1236 R(x,x \ 1,x) = (x \ 1) \ 1. [hyper(255,a,128,a(flip),b,1234,a)]. 1237 T(x,x \ 1) \ x = (x \ 1) * x. [para(1234(a,1),379(a,1,1))]. 1238 ((x \ 1) \ 1) \ x = (x \ 1) * x. [para(1236(a,1),379(a,1,1))]. 1239 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(40,a,1232,a)]. 1240 (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). [para(1232(a,1),127(a,1,2))]. 1241 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1233(a,1),404(a,1,1,2)),flip(a)]. 1242 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(172,a,1237,a(flip),b,1083,a),flip(a)]. 1244 ((x \ 1) \ 1) \ x = K(x \ 1,x). [hyper(255,a,189,a,b,1238,a)]. 1245 ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. [para(1238(a,2),315(a,1))]. 1246 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [hyper(360,a,1242,a)]. 1247 1 / T(x \ 1,x) = T(x,x \ 1). [para(1242(a,1),70(a,1,2))]. 1248 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(128(a,1),1242(a,1,1)),flip(a)]. 1249 T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. [para(564(a,1),1242(a,1,1)),flip(a)]. 1250 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1244(a,1),19(a,1,2))]. 1251 T(x \ 1,(x \ 1) \ 1) = T(x \ 1,x). [hyper(255,a,128,a,b,1248,a),flip(a)]. 1252 T((x \ 1) \ 1,x \ 1) = T(x \ 1,x) \ 1. [para(1248(a,2),1248(a,2,1))]. 1253 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1231(a,1),718(a,1,1))]. 1254 (x * K(x \ 1,x)) / (x * x) = R(x \ 1,x,x). [para(1235(a,1),293(a,1,1))]. 1255 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1239(a,1),667(a,1,1)),flip(a)]. 1256 T(x,1 / x) = (x \ 1) \ 1. [para(73(a,1),1249(a,1,1))]. 1257 T(x,1 / x) = T(x,x \ 1). [hyper(255,a,128,a,b,1256,a)]. 1258 R(x,1 / x,x) = (x \ 1) \ 1. [hyper(255,a,725,a,b,1256,a(flip)),flip(a)]. 1259 ((1 / x) * ((x \ 1) \ 1)) / (1 / x) = x. [para(1256(a,1),167(a,1,1,2))]. 1260 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1256(a,1),726(a,1,1))]. 1261 a(x,1 / x,x) = x \ ((x \ 1) \ 1). [para(1256(a,1),728(a,1,2)),flip(a)]. 1262 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1256(a,1),1037(a,1,1,1))]. 1263 L(T(x,x \ 1),1 / x,x) = T(x,x * (1 / x)). [para(1257(a,1),542(a,1,1))]. 1264 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1257(a,1),404(a,1,1,2))]. 1265 T(x,x \ 1) / x = K(x,1 / x). [para(1257(a,1),726(a,1,1))]. 1266 x \ T(x,x \ 1) = a(x,1 / x,x). [para(1257(a,1),728(a,1,2))]. 1267 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1257(a,1),727(a,2,1))]. 1268 K(x,1 / x) * x = (x \ 1) \ 1. [hyper(255,a,503,a,b,1258,a(flip)),flip(a)]. 1269 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(255,a,1132,a(flip),b,1260,a(flip)),flip(a)]. 1270 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(73(a,1),1260(a,1,1,1)),flip(a)]. 1271 (x \ 1) * K(x,1 / x) = 1 / x. [para(1269(a,1),19(a,1,2))]. 1272 (1 / x) / K(x,1 / x) = x \ 1. [para(1269(a,1),70(a,1,2))]. 1273 R(1 / x,x,1 / x) = x \ 1. [hyper(612,a,1272,a)]. 1274 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1273(a,1),353(a,1,1)),flip(a)]. 1275 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1274(a,1),149(a,1,1))]. 1276 L(T(x,x \ 1),1 / x,x) = T(x,K(x,1 / x)). [para(191(a,2),1263(a,2,2))]. 1277 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1267(a,1),648(a,1,2))]. 1278 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(73(a,1),1262(a,1,1,1,1)),flip(a)]. 1279 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1262(a,1),129(a,1,1))]. 1280 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(620,a,1264,a),flip(a)]. 1281 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(167(a,1),1280(a,1,1)),flip(a)]. 1282 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(255,a,666,a,b,1255,a),flip(a)]. 1283 T(K(x,y),x \ 1) = K(x,y). [para(31(a,2),1282(a,2,1)),flip(a)]. 1284 T(x \ 1,K(x,y)) = x \ 1. [hyper(40,a,1283,a)]. 1285 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [para(1283(a,1),127(a,1,2)),flip(a)]. 1286 (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. [para(1283(a,1),225(a,1,2))]. 1287 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(1284(a,1),344(a,2,1))]. 1288 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1284(a,1),398(a,1,2)),flip(a)]. 1289 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. [para(1214(a,2),128(a,1,2))]. 1290 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(407(a,1),1214(a,1,1,2,2,1))]. 1291 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1218(a,1),304(a,1,1)),flip(b)]. 1292 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(255,a,394,a(flip),b,1220,a)]. 1293 L((x \ 1) \ ((1 / (x \ 1)) \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(70(a,1),1225(a,2,2,1))]. 1294 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(167(a,1),1281(a,1,1)),flip(a)]. 1295 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(255,a,19,a(flip),b,1288,a)]. 1297 T(x,K(x \ 1,y)) = x. [hyper(94,a,1295,a)]. 1298 T(1 / x,K(x,y)) = 1 / x. [para(73(a,1),1297(a,1,2,1))]. 1299 K(x \ 1,y) * x = x * K(x \ 1,y). [para(1297(a,1),127(a,1,2))]. 1300 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1298(a,1),682(a,1,1)),flip(a)]. 1301 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(255,a,428,a(flip),b,583,a(flip)),flip(a)]. 1302 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(184(a,1),1301(a,1,2)),flip(a)]. 1303 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(533,a,1302,a)]. 1304 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(514,a,1302,a)]. 1305 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(310,a,1302,a),flip(a)]. 1306 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(87,a,1302,a)]. 1307 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(80,a,97,a(flip),b,1302,a)]. 1308 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(80,a,64,a(flip),b,1302,a),flip(a)]. 1309 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [hyper(172,a,1302,a(flip),b,242,a),flip(a)]. 1310 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(127(a,1),1302(a,1,2)),flip(a)]. 1312 (R(x,y,z) \ 1) * T(x,R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(229,a,1308,a)]. 1313 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1308(a,1),192(a,1,2)),flip(a)]. 1314 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1308(a,1),922(a,1,2,1,2))]. 1315 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(122(a,1),1303(a,1,2)),flip(a)]. 1316 x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. [para(1304(a,1),219(a,1,1)),flip(b)]. 1317 R(x,y,x) * (x \ (y * x)) = T(x * y,x). [hyper(172,a,122,a(flip),b,1305,a),flip(a)]. 1318 R(x,y,x) * T(y,x) = T(x * y,x). [para(37(a,2),1317(a,1,2))]. 1319 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(87,a,1318,a)]. 1320 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(96,a,1315,a),flip(a)]. 1322 (L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * y. [para(474(a,1),654(a,1,1,1)),flip(a)]. 1323 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(350(a,1),655(a,1,1,1))]. 1324 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(439(a,1),673(a,1,2,1)),flip(a)]. 1325 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(678(a,1),418(a,1,2)),flip(a)]. 1326 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(683(a,1),300(a,1,1)),flip(a)]. 1327 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(255,a,460,a(flip),b,719,a(flip))]. 1328 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(255,a,461,a(flip),b,720,a(flip))]. 1330 (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). [para(112(a,1),774(a,1,1,1,1))]. 1331 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(114(a,1),802(a,1,2,1,2))]. 1332 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(241(a,1),802(a,1,2,1,2))]. 1333 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(803(a,1),419(a,1,2)),flip(a)]. 1334 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(80,a,804,a(flip),b,192,a)]. 1335 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(80,a,805,a(flip),b,190,a),flip(a)]. 1336 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(81,a,812,a(flip),b,194,a),flip(a)]. 1337 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(838(a,1),430(a,1,2))]. 1338 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(230,a,844,a)]. 1339 (x * T(y,z)) * y = (x * y) * T(y,z). [para(397(a,1),1338(a,1,1))]. 1340 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(535,a,1339,a)]. 1341 (1 / T(x,y)) * x = x / T(x,y). [hyper(371,a,1339,a),flip(a)]. 1342 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(308,a,1339,a),flip(a)]. 1343 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(255,a,98,a(flip),b,1339,a)]. 1344 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(87,a,1339,a)]. 1345 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(81,a,98,a(flip),b,1339,a)]. 1346 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(81,a,78,a(flip),b,1339,a),flip(a)]. 1347 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [hyper(80,a,98,a(flip),b,1339,a)]. 1348 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(129(a,1),1339(a,1,1,2)),flip(a)]. 1349 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(87,a,1341,a)]. 1350 (1 / T(x,y)) * x != z | x / T(x,y) = z. [para(1349(a,1),220(a,1,2)),flip(b)]. 1351 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1349(a,1),965(a,2,1))]. 1352 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1349(a,1),967(a,1,1)),flip(a)]. 1353 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1340(a,2),173(a,2)),flip(a)]. 1354 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1000(a,2),1342(a,1,1))]. 1355 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1344(a,1),1061(a,1,1)),flip(a)]. 1356 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(547(a,1),1355(a,1,1,2))]. 1357 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [para(1351(a,1),70(a,1,2))]. 1358 T((T(x,y) / T(x,z)) * T(x,z),u) / T(x,z) = (1 / T(x,z)) * T(T(x,y),u). [para(1351(a,1),935(a,1,2,1)),flip(a)]. 1359 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1354(a,1),1086(a,1,2)),flip(a)]. 1360 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1294(a,1),1352(a,1,1))]. 1361 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(96,a,1359,a),flip(a)]. 1362 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1360(a,1),1346(a,1,1,1))]. 1363 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(255,a,1000,a(flip),b,1361,a(flip))]. 1364 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(759,a,1363,a)]. 1365 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(129(a,1),1348(a,1,2))]. 1366 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(166(a,1),1348(a,1,2)),flip(a)]. 1367 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(535,a,1365,a)]. 1368 ((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y). [hyper(534,a,1365,a),flip(a)]. 1369 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(81,a,98,a(flip),b,1365,a)]. 1370 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [para(846(a,1),573(a,1,2))]. 1371 T(x,y) / x != z | (1 / x) * T(x,y) = z. [para(937(a,1),875(a,1))]. 1372 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(255,a,670,a(flip),b,876,a)]. 1373 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(1372(a,1),73(a,1,1))]. 1375 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(255,a,404,a(flip),b,906,a)]. 1376 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(1075(a,1),907(a,1,1,1))]. 1378 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(224,a,1055,a)]. 1379 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(80,a,1055,a(flip),b,112,a(flip))]. 1381 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(81,a,1379,a(flip),b,927,a)]. 1382 (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). [para(1159(a,1),1381(a,1,1,2,1))]. 1384 T((1 * x) / y,K(y / x,z)) = x / y. [hyper(255,a,351,a(flip),b,1300,a)]. 1385 T(x / y,K(y / x,z)) = x / y. [para(16(a,1),1384(a,1,1,1))]. 1386 T(x \ y,K(x / y,z)) = T(y / x,x). [para(1385(a,1),185(a,1,1)),flip(a)]. 1387 T(x \ y,K(x / y,z)) = x \ y. [hyper(255,a,129,a(flip),b,1386,a)]. 1388 (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). [para(122(a,1),424(a,1,2))]. 1389 (x * y) \ ((z * y) * R(x / z,z,y)) = K(z * y,R(x / z,z,y)). [para(21(a,1),456(a,1,1,1))]. 1390 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(619(a,2),24(a,1))]. 1391 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(114(a,1),739(a,1,2,1))]. 1392 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(255,a,1194,a(flip),b,790,a)]. 1394 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(112(a,1),821(a,1,1))]. 1396 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(826(a,1),1153(a,1,1)),flip(a)]. 1397 (x * y) * R((x * y) \ y,z,u) = (R(1 / x,z,u) * x) * y. [hyper(788,a,827,a)]. 1398 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [hyper(255,a,1138,a(flip),b,831,a(flip)),flip(a)]. 1399 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(19(a,1),1398(a,1,1,1,2,1)),flip(a)]. 1400 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(848(a,1),1399(a,1,2)),flip(a)]. 1401 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(935(a,1),1399(a,1,2)),flip(a)]. 1402 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(956(a,2),1399(a,1,2)),flip(a)]. 1403 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(67(a,1),1402(a,1,1,1,2)),flip(a)]. 1405 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(189(a,2),1403(a,2,1))]. 1406 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(18(a,1),1405(a,1,2,2)),flip(a)]. 1407 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(37(a,2),1405(a,1,2,2))]. 1408 K(x \ 1,x) * y != x * (K(x \ 1,x) * z) | x * z = y. [para(1406(a,1),24(a,1)),flip(a)]. 1409 x * (K(x \ 1,x) * (x \ y)) != z | K(x \ 1,x) * y = z. [para(1406(a,1),310(a,1))]. 1410 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1406(a,1),179(a,1,2))]. 1411 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(255,a,1190,a(flip),b,832,a(flip))]. 1412 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(127(a,1),1411(a,1,2)),flip(a)]. 1413 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(229,a,1412,a)]. 1414 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(96,a,1412,a)]. 1415 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1161(a,1),1414(a,1,1,2,1))]. 1416 (T((x / y) / z,u) * z) * y = (z * y) * T((z * y) \ x,u). [hyper(255,a,396,a(flip),b,842,a)]. 1417 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(362,a,854,a),flip(a)]. 1418 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(183(a,1),1417(a,1,2)),flip(a)]. 1419 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(533,a,1418,a)]. 1420 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(530,a,1418,a),flip(a)]. 1421 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(310,a,1418,a),flip(a)]. 1422 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(87,a,1418,a)]. 1423 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(80,a,97,a(flip),b,1418,a)]. 1424 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(80,a,64,a(flip),b,1418,a),flip(a)]. 1425 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). [hyper(172,a,1418,a(flip),b,242,a),flip(a)]. 1426 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(80,a,1418,a(flip),b,104,a)]. 1427 x * (L(x,y,z) * T(u,x)) = L(x,y,z) * (u * x). [para(127(a,1),1418(a,1,2)),flip(a)]. 1429 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(87,a,1424,a)]. 1430 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1424(a,1),31(a,2,1)),flip(a)]. 1431 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1424(a,1),192(a,1,2)),flip(a)]. 1432 T((1 / x) * (L(x,y,z) \ x),x) = (1 / x) * ((L(x,y,z) \ 1) * x). [para(1424(a,1),858(a,1,1,2))]. 1433 T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(1424(a,2),1222(a,1,2))]. 1434 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(80,a,37,a,b,1420,a),flip(a)]. 1437 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1422(a,1),1375(a,1,1,1)),flip(a)]. 1438 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(189(a,2),1423(a,1,2))]. 1439 T(1 / (1 / x),x \ 1) = x. [hyper(255,a,1259,a(flip),b,911,a(flip))]. 1440 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1439(a,1),43(a,1,1)),flip(a)]. 1441 T(1 / (1 / (1 / x)),x) = 1 / x. [para(73(a,1),1439(a,1,2))]. 1442 (1 / (1 / x)) * (x \ 1) = (x \ 1) * x. [para(1439(a,1),127(a,1,2)),flip(a)]. 1443 T(x,x \ 1) / x = K(x,x \ 1). [para(1439(a,1),1212(a,1,1)),flip(a)]. 1444 (1 / (1 / (1 / x))) * x = x * (1 / x). [para(1441(a,1),127(a,1,2)),flip(a)]. 1445 K(x,1 / x) = K(x,x \ 1). [hyper(255,a,1265,a(flip),b,1443,a(flip)),flip(a)]. 1446 K(x,x \ 1) * x = T(x,x \ 1). [para(1443(a,1),21(a,1,1))]. 1447 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(128(a,1),1443(a,1,1))]. 1448 K(x,x \ 1) = x * (1 / x). [hyper(365,a,1445,a),flip(a)]. 1449 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(255,a,616,a,b,1445,a(flip)),flip(a)]. 1450 x \ K(x,x \ 1) = 1 / x. [hyper(80,a,1445,a(flip),b,191,a(flip))]. 1451 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(70(a,1),1445(a,1,2)),flip(a)]. 1452 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1445(a,1),391(a,1,1))]. 1453 K(x,x \ 1) != y | x * (1 / x) = y. [para(1445(a,1),365(a,1))]. 1454 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1445(a,1),796(a,1,2))]. 1455 K(x,x \ 1) * (x \ 1) = 1 / x. [para(1445(a,1),799(a,1,1))]. 1456 K(x,x \ 1) * x = (x \ 1) \ 1. [para(1445(a,1),1268(a,1,1))]. 1457 (x \ 1) * K(x,x \ 1) = 1 / x. [para(1445(a,1),1271(a,1,2))]. 1458 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(255,a,390,a,b,1448,a(flip)),flip(a)]. 1460 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1448(a,2),1103(a,1,2))]. 1461 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1448(a,2),832(a,1,1))]. 1462 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1448(a,2),1418(a,1,2))]. 1463 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1448(a,2),1423(a,1,2))]. 1464 x * (1 / x) != y | K(x,x \ 1) = y. [para(1450(a,1),220(a,1,2)),flip(b)]. 1465 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). [para(1446(a,1),112(a,1,1))]. 1466 T(x,x \ 1) \ (K(x,x \ 1) * y) = L(x \ y,x,K(x,x \ 1)). [para(1446(a,1),114(a,2,1)),flip(a)]. 1467 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1446(a,1),422(a,1,1))]. 1468 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) != z | L(y,K(y,y \ 1),x) = z. [para(1446(a,1),431(a,1,2,2))]. 1469 x * L(y,K(x,x \ 1),1 / (1 / x)) = (1 / (1 / x)) * (K(x,x \ 1) * y). [para(1454(a,1),112(a,1,1))]. 1470 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(1454(a,1),122(a,1,2))]. 1471 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1454(a,1),123(a,2,2))]. 1472 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1455(a,1),483(a,1,1))]. 1474 ((x \ 1) \ 1) / L(y \ x,y,K(x,x \ 1)) = K(x,x \ 1) * y. [para(1456(a,1),417(a,1,1))]. 1475 K(x,1 / x) != y | K(x,x \ 1) = y. [para(191(a,2),1464(a,1))]. 1477 (x \ 1) / (1 / x) = (x \ 1) * x. [hyper(255,a,968,a(flip),b,1442,a(flip)),flip(a)]. 1478 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(255,a,189,a,b,1477,a)]. 1479 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(255,a,1270,a,b,1478,a(flip)),flip(a)]. 1480 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(255,a,1196,a(flip),b,1478,a(flip)),flip(a)]. 1481 K(x \ 1,x) * (1 / x) = x \ 1. [para(1478(a,1),21(a,1,1))]. 1482 K(x \ 1,x) \ (x \ 1) = 1 / x. [para(1478(a,1),73(a,1,1))]. 1483 x * K(x \ 1,x) = 1 / (1 / x). [para(1480(a,1),19(a,1,2))]. 1484 x * (T(x,y) \ K(x \ 1,x)) = T(x,y) \ (1 / (1 / x)). [para(1480(a,1),1082(a,1,2,2))]. 1486 T(1 / x,K(x \ 1,x)) = 1 / x. [hyper(695,a,1481,a)]. 1487 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1481(a,1),112(a,1,1))]. 1488 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(1481(a,1),114(a,2,1))]. 1489 L(x \ 1,x,x \ 1) = 1 / x. [hyper(609,a,1482,a)]. 1490 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1489(a,1),45(a,2,1))]. 1491 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1489(a,1),50(a,1,1)),flip(a)]. 1492 L(x,x \ 1,x) = 1 / (1 / x). [hyper(761,a,1483,a)]. 1494 (1 / (1 / x)) / (x * x) = R(x \ 1,x,x). [para(1483(a,1),1254(a,1,1))]. 1495 L(T(x,y),x \ 1,x) = T(1 / (1 / x),y). [para(1492(a,1),45(a,2,1))]. 1496 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1492(a,1),49(a,1,1)),flip(a)]. 1497 L(L(x,y,z),x \ 1,x) = L(1 / (1 / x),y,z). [para(1492(a,1),50(a,1,1)),flip(a)]. 1498 L((x * y) / x,y \ 1,y) = (x * (1 / (1 / y))) / x. [para(1492(a,1),767(a,2,1,2))]. 1499 L(1 / x,y,z) * K(x \ 1,x) = K(x \ 1,x) * L(1 / x,y,z). [para(1486(a,1),183(a,1,2,1)),flip(a)]. 1501 x / (1 / (1 / x)) = x * (1 / x). [hyper(255,a,1149,a(flip),b,1444,a(flip)),flip(a)]. 1502 x / (1 / (1 / x)) = K(x,x \ 1). [hyper(255,a,1448,a,b,1501,a)]. 1503 x / (1 / (1 / x)) = K(x,1 / x). [hyper(255,a,191,a,b,1501,a)]. 1504 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1502(a,1),21(a,1,1))]. 1505 K(x,x \ 1) \ x = 1 / (1 / x). [para(1502(a,1),73(a,1,1))]. 1506 K(x,1 / x) * (1 / (1 / x)) = x. [para(1503(a,1),21(a,1,1))]. 1507 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1504(a,1),112(a,1,1))]. 1508 L(x,1 / x,x) = 1 / (1 / x). [hyper(563,a,1506,a)]. 1509 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1508(a,1),45(a,2,1))]. 1510 T(L(x,1 / x,x),x \ 1) = x. [para(1508(a,2),1439(a,1,1))]. 1511 L(T(x,x \ 1),1 / x,x) = x. [hyper(255,a,45,a,b,1510,a(flip)),flip(a)]. 1512 T(x,K(x,1 / x)) = x. [hyper(255,a,1276,a(flip),b,1511,a(flip)),flip(a)]. 1513 T(K(x,1 / x),x) = K(x,1 / x). [hyper(40,a,1512,a)]. 1514 T(x,K(x,x \ 1)) = x. [para(1445(a,1),1512(a,1,2))]. 1515 L(x,y,z) * K(x,x \ 1) = K(x,x \ 1) * L(x,y,z). [para(1514(a,1),183(a,1,2,1)),flip(a)]. 1516 a(x,1 / x,x) = K(x,1 / x). [hyper(255,a,711,a(flip),b,1513,a(flip)),flip(a)]. 1517 x \ T(x,x \ 1) = K(x,1 / x). [hyper(255,a,1266,a,b,1516,a(flip)),flip(a)]. 1518 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(255,a,1261,a(flip),b,1516,a(flip)),flip(a)]. 1519 x \ T(x,x \ 1) = K(x,x \ 1). [hyper(255,a,1445,a(flip),b,1517,a)]. 1520 x \ ((x \ 1) \ 1) = K(x,x \ 1). [hyper(255,a,1445,a(flip),b,1518,a)]. 1521 K((x \ 1) \ 1,x \ 1) = K(x,1 / x). [hyper(255,a,693,a,b,1518,a(flip)),flip(a)]. 1522 x * K(x,x \ 1) = T(x,x \ 1). [para(1519(a,1),19(a,1,2))]. 1523 x * K(x,x \ 1) = (x \ 1) \ 1. [para(1519(a,1),275(a,2,2)),flip(a)]. 1524 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [hyper(255,a,693,a,b,1520,a(flip)),flip(a)]. 1525 T(x,x \ 1) * L(y,K(x,x \ 1),x) = x * (K(x,x \ 1) * y). [para(1522(a,1),112(a,1,1))]. 1526 L(K(x,x \ 1) \ y,K(x,x \ 1),x) = T(x,x \ 1) \ (x * y). [para(1522(a,1),114(a,2,1))]. 1528 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(1522(a,1),466(a,1,1,1))]. 1529 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1475,a,1479,a)]. 1530 K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,1 / (x \ 1)). [para(1248(a,2),1521(a,1,1))]. 1532 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(1524(a,1),1405(a,1,2,1))]. 1533 K(1 / x,x) = K(x \ 1,x). [para(73(a,1),1529(a,1,2))]. 1534 K(1 / (1 / x),1 / x) = K(x,x \ 1). [hyper(255,a,1449,a(flip),b,1533,a)]. 1535 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(255,a,1452,a,b,1533,a(flip)),flip(a)]. 1536 K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(T(x,x \ 1),T(x \ 1,x)). [para(1247(a,1),1533(a,1,1)),flip(a)]. 1538 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1490(a,1),433(a,1,2))]. 1539 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = L(R(x \ 1,x,x),y,z) * (x * x). [para(1494(a,1),570(a,1,1,1)),flip(a)]. 1540 T(1 / (1 / x),y) / ((x \ 1) * T(x,y)) = x. [hyper(81,a,1495,a(flip),b,190,a)]. 1541 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(255,a,1003,a,b,1509,a(flip)),flip(a)]. 1542 K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1491(a,1),433(a,1,2))]. 1543 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(255,a,1462,a(flip),b,1515,a(flip))]. 1544 K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,x). [para(70(a,1),1530(a,2,2))]. 1545 K(T(x \ 1,x),T(x,x \ 1)) = K(x \ 1,x). [para(128(a,2),1544(a,1,2))]. 1546 K(T((x \ 1) \ 1,x \ 1),T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). [hyper(255,a,1524,a(flip),b,1545,a)]. 1547 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1541(a,1),19(a,1,2))]. 1549 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1445(a,1),1547(a,1,1))]. 1550 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(1505(a,2),1549(a,1,2,1))]. 1551 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(167(a,1),917(a,1,2,2))]. 1552 (x * y) * L((x * y) \ y,z,u) = (L(1 / x,z,u) * x) * y. [hyper(780,a,1011,a)]. 1553 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(87,a,1051,a)]. 1554 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(17(a,1),1051(a,2,2,1,2))]. 1555 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(87,a,1554,a),flip(a)]. 1556 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(289(a,1),1554(a,1,2)),flip(a)]. 1557 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1200(a,2),1554(a,1,2)),flip(a)]. 1558 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(966,a,1557,a)]. 1559 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(80,a,1557,a,b,xx),flip(a)]. 1560 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(255,a,925,a(flip),b,1557,a(flip))]. 1561 K(x \ (x / (y \ (z \ y))),x) = y \ (T(z,x) * (z \ y)). [hyper(80,a,398,a(flip),b,1557,a(flip)),flip(a)]. 1562 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(18(a,1),1557(a,1,2,1)),flip(a)]. 1563 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(31(a,2),1557(a,2,2,1,2,2))]. 1564 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(33(a,2),1557(a,2,2,1,2,2))]. 1565 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(20(a,1),1559(a,1,1,2))]. 1566 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(37(a,2),1559(a,1,1,2,2))]. 1567 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(73(a,1),1559(a,2,2,2,1))]. 1569 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1559(a,1),975(a,1,2,2))]. 1570 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(994(a,1),1569(a,1,2,2,2,2))]. 1571 T(x,x * (T(x,y) \ x)) = x. [para(19(a,1),1570(a,1,2,2,2))]. 1572 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1571(a,1),43(a,1,1)),flip(a)]. 1573 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(18(a,1),1556(a,1,2,1)),flip(a)]. 1574 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(21(a,1),1558(a,1,1,1)),flip(a)]. 1575 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(894(a,1),1567(a,2,2))]. 1576 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(81,a,396,a(flip),b,1052,a)]. 1577 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(16(a,1),1052(a,2,1,1,1))]. 1578 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(255,a,396,a(flip),b,1577,a)]. 1579 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(396(a,1),1578(a,1,1))]. 1581 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1200(a,2),1579(a,1,1))]. 1582 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(96,a,1581,a),flip(a)]. 1583 K(x \ (x / ((y * z) / y)),x) = (y * (z * T(z \ 1,x))) / y. [hyper(81,a,656,a(flip),b,1581,a),flip(a)]. 1584 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [para(20(a,1),1582(a,1,1,2))]. 1585 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(35(a,2),1582(a,1,1,2,2))]. 1586 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(994(a,1),1582(a,2,1,2))]. 1587 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(255,a,1572,a(flip),b,1080,a(flip))]. 1588 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1587(a,1),70(a,1,2))]. 1589 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1353,a,1588,a)]. 1590 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1588(a,2),618(a,1,2))]. 1591 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1589(a,1),396(a,1,1)),flip(a)]. 1592 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(129(a,1),1114(a,1,2)),flip(a)]. 1593 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(70(a,1),1592(a,1,2,1,1)),flip(a)]. 1594 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(255,a,809,a(flip),b,1120,a(flip)),flip(a)]. 1595 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(789(a,1),1594(a,1,1))]. 1596 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(1083(a,1),1595(a,1,1,2,1))]. 1597 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1379(a,2),1595(a,1,1)),flip(a)]. 1598 T(L(x,y,z),u) * (x \ 1) = x \ T(L(x,y,z),u). [para(19(a,1),1156(a,1,2,1)),flip(a)]. 1600 T(L(x,y,z),u) * (x \ 1) = x \ L(T(x,u),y,z). [para(45(a,2),1598(a,2,2))]. 1601 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [para(45(a,2),1600(a,1,1))]. 1602 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(18(a,1),1192(a,1,1)),flip(a)]. 1603 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(533,a,1602,a)]. 1604 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(80,a,97,a(flip),b,1602,a)]. 1605 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(674,a,1603,a),flip(a)]. 1606 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(880(a,1),1198(a,1,2)),flip(a)]. 1607 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(105(a,1),1606(a,2,2))]. 1608 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(18(a,1),1607(a,1,1,1))]. 1609 (x * y) * ((y * x) \ y) = y * K(x,y). [para(18(a,1),1608(a,2,2,1))]. 1611 (x * y) * L(x \ 1,x,y) = y * K(x,y). [hyper(255,a,340,a,b,1609,a(flip)),flip(a)]. 1612 (x * K(y,x)) \ (y * x) != z | L(((x * y) \ x) \ 1,(x * y) \ x,y * x) = z. [para(1609(a,1),374(a,1,1))]. 1614 x * K(x \ (x / T(x,y)),x) != z | L(x,T(x,y) \ 1,T(x,y)) = z. [para(1207(a,1),537(a,1))]. 1615 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(780,a,1323,a),flip(a)]. 1616 x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). [hyper(997,a,1335,a),flip(a)]. 1617 T(x,x / (y \ 1)) != z | T(x,y * x) = z. [para(1616(a,1),891(a,1))]. 1618 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(992,a,1336,a),flip(a)]. 1619 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(16(a,1),1336(a,2,1,1,2))]. 1620 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(19(a,1),1618(a,1,1,1,2)),flip(a)]. 1621 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1618(a,1),1364(a,1,1))]. 1622 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(916,a,1619,a)]. 1623 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(73(a,1),1622(a,1,2,1,2))]. 1624 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(302,a,1623,a),flip(a)]. 1625 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(916,a,1362,a)]. 1626 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(18(a,1),1366(a,1,1,2)),flip(a)]. 1627 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(535,a,1626,a)]. 1628 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(371,a,1626,a),flip(a)]. 1629 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(998(a,1),1626(a,1,1)),flip(a)]. 1630 (x / ((y * x) / y)) / x = 1 / ((y * x) / y). [hyper(96,a,1628,a)]. 1631 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(308,a,1629,a),flip(a)]. 1632 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(1099,a,1631,a)]. 1634 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(96,a,1632,a)]. 1636 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(255,a,1620,a,b,1634,a(flip)),flip(a)]. 1637 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(18(a,1),1636(a,1,2,2,2)),flip(a)]. 1638 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(396(a,1),1370(a,2,1))]. 1639 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(578(a,1),1397(a,2,1))]. 1640 (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). [hyper(255,a,832,a(flip),b,1416,a)]. 1641 x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). [para(1538(a,1),565(a,1,2))]. 1642 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(1550(a,1),973(a,1,1))]. 1643 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(570(a,1),1552(a,2,1))]. 1644 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(19(a,1),1553(a,1,2,2,1,2)),flip(a)]. 1645 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(1190(a,1),1566(a,2,2))]. 1646 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(255,a,37,a,b,1645,a),flip(a)]. 1647 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(1645(a,2),19(a,1,2)),flip(a)]. 1649 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(255,a,1200,a(flip),b,1646,a),flip(a)]. 1650 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(80,a,1646,a,b,1200,a(flip))]. 1651 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(289(a,1),1646(a,1,1)),flip(a)]. 1652 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(924(a,1),1646(a,1,1))]. 1653 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1062(a,2),1646(a,1,1)),flip(a)]. 1654 K(x \ (x / T(y,z)),x) = T(K(x \ (x / y),x),z). [para(1200(a,2),1646(a,1,1)),flip(a)]. 1655 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1246(a,1),1652(a,2,1,2,2))]. 1656 K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). [para(70(a,1),1654(a,2,1,1,2))]. 1657 T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). [para(128(a,1),1656(a,1,1,2,2)),flip(a)]. 1658 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(225,a,1649,a),flip(a)]. 1659 T(x,y) \ T(x * T(x \ 1,z),y) != u | T(T(x,y) \ 1,z) = u. [para(1649(a,1),222(a,1,2)),flip(b)]. 1661 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1232(a,1),1650(a,1,2,1,2)),flip(a)]. 1662 T(x,y) \ T(x * T(x \ 1,x),y) = T(T(x,y) \ 1,T(x,x \ 1)). [para(1246(a,1),1650(a,1,2,1,2))]. 1663 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(255,a,396,a(flip),b,1576,a)]. 1664 K(x \ (x / ((y * x) / y)),x) = (y * K(x \ 1,x)) / y. [para(289(a,1),1583(a,2,1,2))]. 1665 ((x * y) / x) \ ((x * K(y \ 1,y)) / x) = T(((x * y) / x) \ 1,y). [hyper(80,a,1664,a(flip),b,1200,a(flip))]. 1666 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(570(a,1),1615(a,1,1))]. 1667 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(1083(a,1),1625(a,1,2,1))]. 1668 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1625(a,1),1378(a,1,2))]. 1669 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(255,a,832,a(flip),b,1638,a(flip)),flip(a)]. 1670 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(255,a,656,a(flip),b,1638,a(flip))]. 1671 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(172,a,1638,a(flip),b,832,a(flip)),flip(a)]. 1673 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(37(a,2),1671(a,1,2,1,2)),flip(a)]. 1674 T(x * T(x \ y,x),x) = (x \ T(y,x)) * x. [hyper(255,a,127,a(flip),b,1673,a)]. 1675 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(80,a,1673,a,b,xx)]. 1676 T((x \ y) * x,x) = (x \ T(y,x)) * x. [para(127(a,1),1674(a,1,1))]. 1677 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(81,a,1676,a,b,xx)]. 1678 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(80,a,1676,a,b,263,a)]. 1680 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1676(a,2),69(a,1,2,1))]. 1681 T(x * y,y) / y = y \ T(y * x,y). [para(18(a,1),1677(a,1,1,1,1))]. 1683 (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. [para(1677(a,1),226(a,1,1)),flip(b)]. 1684 x \ T(x * (y / x),x) = T(y,x) / x. [para(75(a,1),1677(a,1,1,1)),flip(a)]. 1687 x * (T(y * x,x) / x) = T(x * y,x). [para(18(a,1),1680(a,1,2,1,1,1))]. 1688 T(x * (y / x),x) = x * (T(y,x) / x). [para(75(a,1),1680(a,1,2,1,1)),flip(a)]. 1689 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(397(a,1),1681(a,1,1,1)),flip(a)]. 1690 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(571(a,1),1681(a,1,1,1)),flip(a)]. 1691 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(934(a,1),1687(a,1,2)),flip(a)]. 1692 (x \ 1) * (T(x \ R(x,y,z),x \ 1) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1159(a,1),1687(a,1,2,1,1))]. 1693 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(18(a,1),1675(a,1,2,1,2,1))]. 1695 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(18(a,1),1678(a,1,2,1,1))]. 1696 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1684(a,1),1693(a,2,1))]. 1697 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1696(a,1),19(a,1,2)),flip(a)]. 1698 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(151(a,1),1697(a,2,2,1,1))]. 1699 x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. [para(1697(a,2),222(a,1,2)),flip(b)]. 1700 T(x,x * R(x \ 1,y,z)) = x. [hyper(172,a,821,a(flip),b,1639,a(flip))]. 1701 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [hyper(172,a,1639,a(flip),b,821,a(flip))]. 1703 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(73(a,1),1700(a,1,2,2,1))]. 1704 T(x,(y / (x * y)) * x) = x. [para(593(a,2),1700(a,1,2))]. 1705 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(581(a,1),1700(a,1,2))]. 1706 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1158(a,1),1700(a,1,2))]. 1707 T(x / y,(y / x) * (x / y)) = x / y. [para(708(a,1),1700(a,1,2))]. 1708 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1704(a,1),1108(a,1,1,1)),flip(a)]. 1709 T(x \ R(x,y,z),x \ 1) = x \ R(x,y,z). [hyper(40,a,1706,a)]. 1710 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1706(a,1),43(a,1,1)),flip(a)]. 1711 T(x / (y * x),y * (x / (y * x))) = x / (y * x). [para(20(a,1),1707(a,1,2,1))]. 1712 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1703(a,1),548(a,1,1,2))]. 1713 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1705(a,1),718(a,1,1))]. 1714 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1701(a,1),1688(a,2,2,1))]. 1715 R(x / (y * x),y,x / (y * x)) = T(x / (y * x),y). [para(1711(a,1),718(a,1,1))]. 1716 T(x \ 1,R(x,y,z)) \ T((x \ 1) * R(x,y,z),x \ 1) = T(R(x,y,z),x \ 1). [para(1713(a,1),1319(a,1,1))]. 1717 R(x / (y * x),y,x / (y * x)) = R(y \ 1,y,x). [hyper(255,a,587,a(flip),b,1715,a)]. 1718 R(x \ 1,x,y) \ T((y / (x * y)) * x,y / (x * y)) = T(x,y / (x * y)). [para(1717(a,1),1319(a,1,1))]. 1719 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(396(a,1),1640(a,1,1))]. 1720 T(x,x * L(x \ 1,y,z)) = x. [hyper(172,a,824,a(flip),b,1643,a(flip))]. 1721 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(172,a,1643,a(flip),b,430,a(flip))]. 1723 K(x,x * L(x \ 1,y,z)) = 1. [hyper(41,a,1720,a)]. 1724 T(x,x * ((y * x) \ y)) = x. [para(162(a,1),1720(a,1,2,2))]. 1725 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(342(a,1),1720(a,1,2,2))]. 1726 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(572(a,1),1720(a,1,2))]. 1727 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1150(a,1),1720(a,1,2))]. 1728 (((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y). [para(1724(a,1),548(a,1,1,2))]. 1729 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(940(a,1),1724(a,1,2,2,1))]. 1730 T(x \ (x / y),(x \ (x / y)) * y) = x \ (x / y). [para(73(a,1),1725(a,1,2,2))]. 1731 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1725(a,1),547(a,1,2)),flip(a)]. 1732 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1726(a,1),718(a,1,1))]. 1733 T((x \ (x / y)) * y,x \ (x / y)) = (x \ (x / y)) * y. [hyper(40,a,1730,a)]. 1734 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(40,a,1729,a)]. 1735 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(23,a,764,a,b,1731,a)]. 1736 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(37(a,2),1644(a,1,1))]. 1737 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(255,a,1652,a,b,1655,a)]. 1738 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(1737(a,1),667(a,1,1)),flip(a)]. 1739 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(19(a,1),1661(a,2,2,1))]. 1741 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(151(a,1),1739(a,2,2))]. 1743 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(127(a,1),1663(a,1,1)),flip(a)]. 1744 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(831(a,1),1663(a,1,1)),flip(a)]. 1745 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [para(832(a,1),1663(a,1,1))]. 1746 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1489(a,1),1666(a,1,1,2)),flip(a)]. 1747 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1448(a,2),1746(a,2,1))]. 1748 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(255,a,1691,a,b,1669,a(flip)),flip(a)]. 1749 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(19(a,1),1669(a,1,2,2,1,2,2))]. 1750 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(114(a,2),1669(a,1,2,2,1,2)),flip(a)]. 1751 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(1699,a,1689,a),flip(a)]. 1752 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1719(a,1),223(a,1,2))]. 1753 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(848(a,1),1719(a,1,1)),flip(a)]. 1754 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(974(a,2),1719(a,1,1))]. 1755 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(60(a,1),1754(a,2,2,2,1,2))]. 1757 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(127(a,1),1755(a,2,2))]. 1758 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(289(a,1),1755(a,2,2))]. 1759 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(23,a,122,a(flip),b,1757,a)]. 1760 (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). [para(20(a,1),1758(a,1,1,1))]. 1761 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(763(a,1),1758(a,1,1,1))]. 1762 ((x / K(y \ 1,y)) * y) * K(y \ 1,y) = x * y. [hyper(308,a,1760,a),flip(a)]. 1763 ((x * (y \ 1)) / K(y \ 1,y)) * y = R(x,y \ 1,y). [hyper(23,a,465,a,b,1762,a)]. 1764 (x * (y \ 1)) / K(y \ 1,y) != z | R(x,y \ 1,y) / y = z. [para(1759(a,1),304(a,1,1)),flip(b)]. 1765 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(81,a,556,a(flip),b,771,a)]. 1766 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(21(a,1),1765(a,1,1,1)),flip(a)]. 1767 x * R(x \ K(x,x \ 1),y,z) = R(1 / x,y,z) / (x \ 1). [para(1455(a,1),1765(a,1,1,1)),flip(a)]. 1768 R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). [para(1450(a,1),1767(a,1,2,1)),flip(a)]. 1769 (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). [para(351(a,1),1768(a,1,1)),flip(a)]. 1770 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(806(a,1),418(a,1,2)),flip(a)]. 1771 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(443(a,1),835(a,1,2,1))]. 1772 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(342(a,1),1033(a,1,2))]. 1773 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [para(1772(a,1),70(a,1,2))]. 1774 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(342(a,1),1169(a,1,1)),flip(a)]. 1775 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(18(a,1),1774(a,1,2)),flip(a)]. 1776 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1774(a,1),19(a,1,2))]. 1777 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(172,a,1776,a,b,19,a)]. 1779 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(18(a,1),1775(a,1,1)),flip(a)]. 1780 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(1779(a,1),19(a,1,2))]. 1781 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(255,a,708,a(flip),b,1181,a(flip))]. 1782 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(70(a,1),1781(a,1,2)),flip(a)]. 1783 (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). [hyper(302,a,1782,a),flip(a)]. 1785 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [para(1783(a,1),19(a,1,2))]. 1786 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(172,a,1785,a,b,19,a)]. 1788 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(400(a,1),1230(a,1,2)),flip(a)]. 1789 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(400(a,1),1788(a,1,2)),flip(a)]. 1790 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1789(a,1),51(a,1,1)),flip(a)]. 1791 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1789(a,1),1318(a,1,1))]. 1792 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(255,a,1448,a,b,1275,a)]. 1793 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(20(a,1),1437(a,2,1))]. 1794 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1793(a,1),397(a,1,1)),flip(a)]. 1795 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(22,a,183,a,b,1794,a),flip(a)]. 1796 L(K(x,x \ 1) \ y,K(x,x \ 1),x) = x * (((x \ 1) \ 1) \ y). [hyper(255,a,1105,a(flip),b,1526,a)]. 1797 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(255,a,667,a(flip),b,1738,a)]. 1798 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(31(a,2),1797(a,2,1))]. 1799 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(31(a,2),1798(a,1,1))]. 1800 T(K(1 / x,y),1 / x) = T(K(1 / x,y),x \ 1). [para(564(a,1),1799(a,1,2)),flip(a)]. 1801 (1 / x) * T(K(1 / x,y),x \ 1) = K(1 / x,y) * (1 / x). [para(1800(a,1),127(a,1,2))]. 1802 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [para(351(a,1),1769(a,1,2)),flip(a)]. 1803 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [para(1802(a,1),21(a,1,1))]. 1804 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [para(70(a,1),1802(a,1,1)),flip(a)]. 1805 (x / (y \ x)) * ((y \ x) / x) = ((y \ x) / x) / (y \ 1). [para(70(a,1),1802(a,1,2,1)),flip(a)]. 1807 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(70(a,1),1804(a,1,2)),flip(a)]. 1808 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(1807(a,1),1766(a,1,2,1,2))]. 1809 ((x \ y) / y) / (x \ 1) = x * ((x \ y) / y). [hyper(302,a,1805,a),flip(a)]. 1811 (x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y. [para(1809(a,1),21(a,1,1))]. 1812 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [hyper(255,a,350,a,b,1811,a)]. 1813 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(255,a,1639,a(flip),b,1004,a(flip))]. 1814 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(255,a,1639,a(flip),b,1005,a(flip))]. 1815 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [hyper(255,a,1643,a(flip),b,1007,a(flip))]. 1816 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(255,a,1643,a(flip),b,1008,a(flip))]. 1817 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1489(a,1),1816(a,2,1,2))]. 1818 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1747(a,1),1817(a,1,2))]. 1819 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(22,a,112,a(flip),b,1818,a)]. 1820 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1448(a,2),1818(a,2,1))]. 1821 x \ (K(x,x \ 1) * y) = K(x,x \ 1) * (x \ y). [hyper(87,a,1820,a)]. 1822 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(22,a,1543,a(flip),b,1820,a)]. 1823 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(18(a,1),1820(a,1,2,2)),flip(a)]. 1824 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(37(a,2),1820(a,1,2,2))]. 1825 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1451(a,1),1820(a,1,2,1))]. 1826 (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. [para(1529(a,1),1820(a,1,2,1))]. 1827 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y). [hyper(255,a,1465,a,b,1823,a(flip)),flip(a)]. 1828 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(1819(a,1),24(a,1)),flip(a)]. 1829 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(255,a,1278,a(flip),b,1822,a)]. 1830 L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). [hyper(22,a,1525,a,b,1827,a),flip(a)]. 1831 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(1 / y,y),1 / y). [para(73(a,1),1830(a,1,2,2)),flip(a)]. 1832 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). [para(1529(a,1),1830(a,1,2)),flip(a)]. 1833 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(801,a,1012,a),flip(a)]. 1834 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(780,a,1012,a)]. 1835 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(571(a,1),1833(a,1,1))]. 1836 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(535,a,1835,a)]. 1837 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(371,a,1835,a),flip(a)]. 1838 ((x / y) * L(y,z,u)) * y = x * L(y,z,u). [hyper(255,a,98,a(flip),b,1835,a)]. 1839 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(87,a,1835,a)]. 1840 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(80,a,98,a(flip),b,1835,a)]. 1841 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1835(a,1),272(a,1,1))]. 1842 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(172,a,1837,a,b,19,a)]. 1844 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [hyper(81,a,112,a(flip),b,1838,a),flip(a)]. 1845 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1839(a,1),1061(a,1,1)),flip(a)]. 1846 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1842(a,1),185(a,1,1))]. 1847 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(87,a,1844,a),flip(a)]. 1848 (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. [para(1844(a,1),173(a,2)),flip(a)]. 1849 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1845(a,1),573(a,1,2))]. 1850 L(x,y,z) / T(x,x \ 1) = (x \ 1) * L(x,y,z). [hyper(81,a,62,a(flip),b,1849,a)]. 1851 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(255,a,570,a(flip),b,1013,a)]. 1852 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(788,a,1014,a)]. 1853 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(255,a,184,a(flip),b,1019,a)]. 1854 T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). [para(1083(a,1),1853(a,1,2,1,2))]. 1855 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(112(a,1),1053(a,1,1))]. 1856 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [hyper(916,a,1059,a)]. 1857 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(122(a,1),1059(a,1,2))]. 1858 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(814,a,1121,a)]. 1859 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1194(a,1),1858(a,1,1))]. 1860 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(96,a,1859,a)]. 1861 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(167(a,1),1859(a,1,1,2)),flip(a)]. 1862 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(1859(a,1),304(a,1,1)),flip(b)]. 1863 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1860(a,1),949(a,1,3)),flip(a)]. 1864 T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1 = x \ (((T(y,x) \ y) * x) \ x). [para(1861(a,1),1091(a,1,2,1)),flip(a)]. 1865 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1861(a,1),1587(a,1,1,2,1))]. 1866 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1186(a,1),374(a,1))]. 1867 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(73(a,1),1226(a,1,2)),flip(a)]. 1868 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(16(a,1),1867(a,2,1,1))]. 1869 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1868(a,1),1720(a,1,2))]. 1870 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1869(a,1),404(a,1,1,2)),flip(a)]. 1871 L((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(70(a,1),1293(a,1,1,2,1))]. 1872 (L(x / (y / z),u,w) * (y / z)) * z = y * L(y \ (x * z),u,w). [hyper(255,a,570,a(flip),b,1322,a)]. 1873 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(87,a,1324,a)]. 1874 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(87,a,1325,a)]. 1875 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(16(a,1),1326(a,2,1,1,1))]. 1876 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(255,a,578,a(flip),b,1875,a)]. 1877 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(578(a,1),1876(a,1,1))]. 1878 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(96,a,1877,a),flip(a)]. 1879 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(35(a,2),1878(a,1,1)),flip(a)]. 1880 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(255,a,428,a(flip),b,1330,a)]. 1881 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(127(a,1),1880(a,1,1,1,1,2))]. 1882 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(184(a,1),1881(a,2,2))]. 1883 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(87,a,1333,a)]. 1884 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(255,a,1499,a,b,1542,a(flip)),flip(a)]. 1885 K(T(x \ 1,x) \ 1,T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). [para(1252(a,1),1546(a,1,1))]. 1886 K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(x,x \ 1). [para(1251(a,1),1885(a,1,2))]. 1887 K(T(x,x \ 1),T(x \ 1,x)) = K(x,x \ 1). [hyper(255,a,1536,a(flip),b,1886,a(flip)),flip(a)]. 1888 K(T(x,x \ 1),T(x,x \ 1) \ 1) = K(x,x \ 1). [para(1242(a,2),1887(a,1,2))]. 1889 K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = T(x,x \ 1) \ (K(x,x \ 1) * y). [para(1888(a,1),1821(a,1,2,1)),flip(a)]. 1890 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(1341(a,1),1551(a,1,2))]. 1891 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(70(a,1),1593(a,1,1,1)),flip(a)]. 1892 T(T(x,y) \ 1,T(x,x \ 1)) = T(T(x,y) \ 1,x). [hyper(1659,a,1662,a),flip(a)]. 1893 T(T(x,y) \ 1,(x \ 1) \ 1) = T(T(x,y) \ 1,x). [para(128(a,1),1892(a,1,2))]. 1894 ((x \ 1) \ 1) * T(T(x,y) \ 1,x) = (T(x,y) \ 1) * ((x \ 1) \ 1). [para(1893(a,1),127(a,1,2))]. 1895 (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). [para(656(a,1),1670(a,1,1))]. 1896 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(587(a,1),1708(a,1,2))]. 1897 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(185(a,1),1791(a,1,2))]. 1898 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(255,a,1698,a(flip),b,1897,a)]. 1899 L(x,1 / (1 / y),K(1 / (1 / y),(1 / (1 / y)) \ 1)) = L(x,K(y,y \ 1),1 / (1 / y)). [para(1534(a,1),1831(a,2,2))]. 1900 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(570(a,1),1834(a,2,1))]. 1901 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(570(a,1),1851(a,1,1))]. 1902 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(578(a,1),1852(a,2,1))]. 1903 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(789(a,1),1856(a,2,1))]. 1904 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). [para(570(a,1),1872(a,1,1))]. 1905 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(17(a,1),1873(a,1,2,2,1,2)),flip(a)]. 1906 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(33(a,2),1905(a,1,1)),flip(a)]. 1907 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(17(a,1),1874(a,1,2,2,1,2)),flip(a)]. 1908 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(19(a,1),1883(a,1,2,2,1))]. 1909 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(412,a,1908,a)]. 1910 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1908(a,1),412(a,1))]. 1911 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(255,a,1392,a(flip),b,1909,a)]. 1912 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(70(a,1),1909(a,1,2,1)),flip(a)]. 1913 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(941(a,1),1909(a,1,2)),flip(a)]. 1914 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1041(a,1),1909(a,1,2)),flip(a)]. 1915 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1357(a,1),1909(a,1,2)),flip(a)]. 1916 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1909(a,2),1378(a,1,2))]. 1917 ((x * y) / x) * ((y * (((x * y) / x) \ 1)) / y) = K(y,1 / ((x * y) / x)). [para(1630(a,1),1909(a,1,2)),flip(a)]. 1918 x * K(y,(y / (x \ 1)) / y) = (y * x) / y. [para(1911(a,2),19(a,1,2))]. 1919 K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). [para(1083(a,1),1911(a,2,2,1))]. 1920 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1159(a,1),1911(a,2,2,1))]. 1921 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(70(a,1),1916(a,1,2,2,1)),flip(a)]. 1922 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(121(a,2),1921(a,1,2))]. 1923 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(20(a,1),1922(a,2,2,2))]. 1924 T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). [para(1923(a,1),1075(a,1,2,1)),flip(a)]. 1925 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(398(a,2),1913(a,1,2,1))]. 1926 x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). [para(1923(a,1),1924(a,1,1)),flip(a)]. 1927 (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). [para(17(a,1),1926(a,1,2)),flip(a)]. 1928 (x * K(x,y)) * (x \ 1) = K(x,y). [hyper(255,a,18,a(flip),b,1927,a)]. 1929 T(x * K(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(172,a,1927,a,b,259,a(flip))]. 1930 K(x,y) / (x \ 1) = x * K(x,y). [hyper(81,a,18,a(flip),b,1927,a)]. 1934 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(255,a,1008,a(flip),b,1900,a(flip)),flip(a)]. 1935 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(255,a,824,a(flip),b,1900,a(flip))]. 1936 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(172,a,1900,a(flip),b,1008,a(flip)),flip(a)]. 1938 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(37(a,2),1936(a,1,2,1,2)),flip(a)]. 1939 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(80,a,1938,a,b,xx)]. 1940 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(18(a,1),1939(a,1,2,1,2,1)),flip(a)]. 1942 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1684(a,1),1940(a,1,1)),flip(a)]. 1943 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(255,a,1690,a(flip),b,1942,a(flip))]. 1945 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(255,a,1005,a(flip),b,1902,a(flip)),flip(a)]. 1946 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(172,a,1902,a(flip),b,1325,a),flip(a)]. 1947 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(172,a,1902,a(flip),b,1005,a(flip)),flip(a)]. 1948 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(80,a,1902,a(flip),b,1325,a),flip(a)]. 1949 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(18(a,1),1902(a,1,2,1)),flip(a)]. 1951 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(18(a,1),1949(a,1,1,2,1))]. 1952 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(371,a,1951,a),flip(a)]. 1953 ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. [hyper(308,a,1951,a),flip(a)]. 1954 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(87,a,1951,a)]. 1955 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1953(a,1),304(a,1,1)),flip(b)]. 1956 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1954(a,1),1061(a,1,1)),flip(a)]. 1957 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1956(a,1),184(a,1,2)),flip(a)]. 1958 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1956(a,1),573(a,1,2))]. 1959 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(81,a,62,a(flip),b,1958,a)]. 1961 (x * y) * R(x,y,T(x,y)) = T(x * y,x) * T(x,y). [para(987(a,1),1958(a,1,1)),flip(a)]. 1962 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(255,a,601,a(flip),b,1959,a(flip)),flip(a)]. 1963 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(37(a,2),1947(a,1,2,1,2)),flip(a)]. 1964 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(81,a,1963,a,b,578,a)]. 1965 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(80,a,1963,a,b,xx)]. 1966 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(18(a,1),1964(a,1,1,1,2,1)),flip(a)]. 1969 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(255,a,1053,a(flip),b,1903,a(flip))]. 1970 (x * (((x * y) * (x \ 1)) / (x * y))) * y = (x * y) * (y / (x * y)). [para(19(a,1),1903(a,1,2,1)),flip(a)]. 1972 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1622(a,1),1969(a,1,1)),flip(a)]. 1973 (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). [hyper(96,a,1904,a)]. 1974 R(x,y,z) * (z * R(z \ (y * z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. [para(149(a,1),1945(a,1,2,2,1,2))]. 1975 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [para(16(a,1),1973(a,1,1,2,1,2)),flip(a)]. 1976 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(35(a,2),1975(a,1,1)),flip(a)]. 1977 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(255,a,29,a,b,448,a),flip(a)]. 1978 L(x,y,T(z,z \ u)) = L(x,y,(z \ u) \ u). [hyper(255,a,597,a(flip),b,599,a(flip)),flip(a)]. 1979 (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [hyper(255,a,1193,a(flip),b,694,a(flip)),flip(a)]. 1980 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(813(a,1),914(a,1,1))]. 1981 (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). [para(735(a,1),1980(a,1,1,1,2)),flip(a)]. 1982 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(193(a,1),985(a,1,2))]. 1983 T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(47(a,2),1982(a,1,1,1))]. 1984 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(385(a,1),1983(a,1,1))]. 1985 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1984(a,1),43(a,1,1)),flip(a)]. 1986 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(920(a,1),1985(a,1,1))]. 1987 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(21(a,1),1986(a,1,1)),flip(a)]. 1988 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(472(a,1),1987(a,2,2))]. 1989 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(21(a,1),1988(a,1,1))]. 1990 T(x,x * (y \ 1)) = T(x,y \ x). [para(129(a,1),1989(a,1,2)),flip(a)]. 1991 T(x,(1 / y) \ x) = T(x,x * y). [para(73(a,1),1990(a,1,2,2)),flip(a)]. 1992 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(190(a,1),1415(a,1,1))]. 1993 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1496(a,1),1992(a,1,1))]. 1994 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(1064,a,1487,a(flip))]. 1995 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(477(a,1),1596(a,2,2))]. 1996 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(16(a,1),1995(a,2,2,1))]. 1997 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1667(a,1),1996(a,1,1))]. 1998 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(226,a,1997,a)]. 2000 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(255,a,1668,a,b,1998,a(flip)),flip(a)]. 2001 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1667(a,2),2000(a,1,2))]. 2002 x \ (((T(y,x) \ y) * x) \ x) = ((T(y,x) \ y) * x) \ 1. [para(1861(a,1),1864(a,1,1)),flip(a)]. 2003 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * ((y \ 1) \ ((y \ 1) * (y * x))). [para(433(a,1),1979(a,1,2,2)),flip(a)]. 2004 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1712(a,1),1165(a,1,1))]. 2005 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(255,a,186,a(flip),b,2004,a(flip)),flip(a)]. 2006 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(896(a,1),1209(a,1,2,1))]. 2007 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(2006(a,1),19(a,1,2))]. 2008 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(255,a,1555,a(flip),b,2007,a(flip))]. 2009 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(255,a,1903,a(flip),b,1331,a(flip))]. 2010 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [hyper(172,a,1638,a(flip),b,1337,a(flip)),flip(a)]. 2011 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(1109(a,1),1337(a,2,2))]. 2012 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(31(a,2),2011(a,1,2,1)),flip(a)]. 2013 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(1524(a,1),1532(a,2,1))]. 2014 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(87,a,2013,a)]. 2015 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) != z | K(x,x \ 1) * y = z. [para(2014(a,1),220(a,1,2)),flip(b)]. 2016 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(31(a,2),1563(a,1,2,1)),flip(a)]. 2017 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1200(a,1),2016(a,1,2))]. 2018 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(87,a,2017,a)]. 2019 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1725(a,1),1565(a,2,2,2))]. 2020 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(19(a,1),1586(a,2,1))]. 2021 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1535(a,1),1642(a,1,2))]. 2022 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1535(a,1),2021(a,2,1,2))]. 2023 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1483(a,1),2022(a,2,1))]. 2025 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(586(a,1),1714(a,2,2))]. 2026 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(586(a,1),2025(a,1,1,2))]. 2027 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(163(a,1),2026(a,1,1,2))]. 2028 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(163(a,1),2027(a,2,2))]. 2029 T(x,x * (y / (x * y))) = x. [hyper(40,a,2028,a)]. 2030 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(255,a,1896,a,b,2028,a(flip)),flip(a)]. 2031 T(x,x * ((x \ y) / y)) = x. [para(19(a,1),2029(a,1,2,2,2))]. 2032 T(x / y,(x / y) * (y / x)) = x / y. [para(21(a,1),2029(a,1,2,2,2))]. 2033 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(2031(a,1),276(a,1,1)),flip(a)]. 2034 T(x / (y * x),(x / (y * x)) * y) = x / (y * x). [para(20(a,1),2032(a,1,2,2))]. 2035 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(2032(a,1),185(a,1,1)),flip(a)]. 2036 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(255,a,129,a(flip),b,2035,a)]. 2037 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(2036(a,1),1584(a,2,1,2))]. 2038 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(2033(a,1),1584(a,2,1,2))]. 2039 T((x / (y * x)) * y,x / (y * x)) = (x / (y * x)) * y. [hyper(40,a,2034,a)]. 2040 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(127(a,1),1753(a,1,2)),flip(a)]. 2041 (x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)). [para(1219(a,2),1753(a,1,2)),flip(a)]. 2042 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(1683,a,2040,a)]. 2043 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(75(a,1),2042(a,1,1))]. 2044 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(18(a,1),2043(a,2,2,1,2)),flip(a)]. 2045 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(18(a,1),2044(a,1,2,1)),flip(a)]. 2046 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(105(a,1),2044(a,1,2,1)),flip(a)]. 2047 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(2044(a,1),409(a,1,2))]. 2048 T((x \ 1) * (x * y),x) != (x \ 1) * z | y * x = z. [para(2045(a,2),24(a,1))]. 2049 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(2045(a,1),127(a,1,2)),flip(a)]. 2050 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(255,a,190,a(flip),b,2049,a)]. 2052 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(17(a,1),1770(a,2,2,1,2,2))]. 2053 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(1909(a,2),1770(a,1,2))]. 2054 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(17(a,1),2053(a,2,2,1,2,2))]. 2055 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(37(a,2),2054(a,1,2,2,1,2)),flip(a)]. 2057 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(172,a,1903,a(flip),b,2055,a(flip))]. 2058 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(255,a,1909,a(flip),b,2057,a),flip(a)]. 2059 K(x,(x / T(x,y)) / x) = T(x * (1 / x),y). [para(19(a,1),2057(a,1,1,2,1)),flip(a)]. 2060 T(x \ T(x,x / (x * y)),z) = K(x,(x / T(y,z)) / x). [para(1379(a,2),2057(a,1,1))]. 2061 K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). [para(1912(a,1),2057(a,1,1)),flip(a)]. 2062 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [hyper(255,a,1909,a(flip),b,2059,a(flip)),flip(a)]. 2063 T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). [para(1387(a,1),2061(a,1,2,1,2)),flip(a)]. 2064 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(1083(a,1),2062(a,1,2,1))]. 2066 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1448(a,2),2064(a,2,1))]. 2067 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(2066(a,1),2001(a,1,2))]. 2068 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(2067(a,1),24(a,1))]. 2069 T(K(x,y / x),K(y / x,z)) = K(x,y / x). [para(70(a,1),2063(a,2,2,1))]. 2070 T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). [para(20(a,1),2069(a,1,1,2))]. 2071 T(K(x,y),K(y,z)) = K(x,(y * x) / x). [para(20(a,1),2070(a,1,2,1))]. 2072 T(K(x,y),K(y,z)) = K(x,y). [para(20(a,1),2071(a,2,2))]. 2073 K(K(x,y),K(y,z)) = 1. [hyper(41,a,2072,a)]. 2074 T(K(x,y),K(z,x)) = K(x,y). [hyper(40,a,2072,a)]. 2075 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(2072(a,1),127(a,1,2))]. 2076 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2072(a,1),225(a,1,2))]. 2077 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2072(a,1),183(a,1,2,1)),flip(a)]. 2078 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2072(a,1),184(a,1,2,1)),flip(a)]. 2079 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2072(a,1),362(a,1,2,1))]. 2081 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2074(a,1),225(a,1,2))]. 2082 R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). [para(2074(a,1),184(a,1,2,1)),flip(a)]. 2083 K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5. [para(2074(a,1),363(a,1,2,1))]. 2086 (K(x,y) * K(z,x)) \ (K(z,x) * (K(x,y) * u)) != w | L(u,K(x,y),K(z,x)) = w. [para(2075(a,2),431(a,1,1))]. 2087 ((x * K(y,z)) * K(z,u)) / (K(z,u) * K(y,z)) != w | R(x,K(y,z),K(z,u)) = w. [para(2075(a,2),466(a,1,2))]. 2088 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = T(x,y) * (1 / T(x,y)). [para(19(a,1),2058(a,1,2,1)),flip(a)]. 2089 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(398(a,2),2058(a,2,1,2,1)),flip(a)]. 2090 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = K(T(x,y),T(x,y) \ 1). [hyper(255,a,1448,a,b,2088,a)]. 2091 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [para(1913(a,1),2090(a,1,1)),flip(a)]. 2092 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1639(a,1),1813(a,1,2)),flip(a)]. 2093 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1158(a,1),2092(a,1,1)),flip(a)]. 2094 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1643(a,1),1815(a,1,2)),flip(a)]. 2095 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1150(a,1),2094(a,1,1)),flip(a)]. 2096 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1451(a,1),1825(a,2,1))]. 2097 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(87,a,2096,a)]. 2098 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(255,a,1488,a,b,2097,a(flip)),flip(a)]. 2099 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). [para(382(a,1),1826(a,1,2,2)),flip(a)]. 2100 R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). [para(19(a,1),1854(a,1,2,1)),flip(a)]. 2101 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1111(a,1),1915(a,1,2,1))]. 2102 ((x * y) / x) * ((((x * y) / x) \ y) / y) = K(y,1 / ((x * y) / x)). [para(1146(a,1),1917(a,1,2,1))]. 2103 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(824(a,1),1935(a,1,1))]. 2104 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(81,a,98,a(flip),b,2103,a)]. 2105 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(339(a,1),2103(a,1,1,2,2)),flip(a)]. 2106 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(339(a,1),2105(a,1,2,2)),flip(a)]. 2107 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1448(a,2),2106(a,1,1,2))]. 2108 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1448(a,2),2107(a,2,2))]. 2109 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(87,a,2108,a)]. 2110 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(81,a,98,a(flip),b,2108,a)]. 2111 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(2109(a,1),1061(a,1,1)),flip(a)]. 2112 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(2110(a,1),129(a,1,1))]. 2113 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(37(a,2),1946(a,1,1))]. 2114 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(37(a,2),2113(a,1,2,1,1))]. 2115 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(18(a,1),2114(a,2,1,2,1))]. 2116 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(255,a,231,a(flip),b,2019,a)]. 2118 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(2116(a,1),1143(a,1,1)),flip(a)]. 2119 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(255,a,1777,a(flip),b,2118,a(flip)),flip(a)]. 2120 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(374,a,2119,a)]. 2121 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(18(a,1),2119(a,1,1,2))]. 2122 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(18(a,1),2120(a,1,3))]. 2123 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(2120(a,1),1905(a,1,2)),flip(a)]. 2124 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(18(a,1),2121(a,2,2))]. 2125 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(374,a,2124,a)]. 2126 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(2124(a,1),19(a,1,2))]. 2127 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(2124(a,1),70(a,1,2))]. 2128 L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). [para(2125(a,1),346(a,1,1)),flip(a)]. 2129 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(162(a,2),2126(a,1,1,1)),flip(a)]. 2130 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(2127(a,1),1210(a,2,1,1,2)),flip(a)]. 2131 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(540,a,2129,a)]. 2132 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(255,a,162,a(flip),b,2122,a(flip)),flip(a)]. 2133 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(255,a,1448,a,b,2123,a)]. 2134 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(2133(a,1),19(a,1,2)),flip(a)]. 2135 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(19(a,1),2037(a,2,1))]. 2136 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(255,a,67,a(flip),b,2135,a)]. 2138 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * 1,y)) * z. [para(67(a,1),2041(a,1,1,2,1,2)),flip(a)]. 2139 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(17(a,1),2138(a,2,1,2,1))]. 2141 (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1. [hyper(22,a,234,a(flip),b,2139,a)]. 2143 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(428(a,1),786(a,1,1)),flip(a)]. 2144 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(255,a,427,a(flip),b,900,a)]. 2145 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ 1 = y \ ((y * (x * T(x \ 1,y))) \ y). [para(2144(a,1),1147(a,1,2,1)),flip(a)]. 2146 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(2144(a,1),1194(a,1,1)),flip(a)]. 2147 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(2144(a,1),1623(a,1,2)),flip(a)]. 2148 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(255,a,1241,a(flip),b,948,a(flip)),flip(a)]. 2150 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(2148(a,1),627(a,1,1))]. 2151 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(255,a,186,a(flip),b,2150,a(flip))]. 2152 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(2151(a,1),1913(a,1,2))]. 2153 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(342(a,1),1157(a,1,2,2))]. 2154 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [para(2153(a,1),19(a,1,2))]. 2155 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(2154(a,1),790(a,1,2,1))]. 2156 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(2154(a,1),1909(a,2,2,1)),flip(a)]. 2157 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1410(a,1),223(a,1))]. 2158 R(x \ 1,x,y) \ ((y / (x * y)) * x) = T(x,y / (x * y)). [para(2039(a,1),1718(a,1,2))]. 2159 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [hyper(709,a,2158,a)]. 2160 (x * R(x \ 1,x,y)) \ (T(x,y / (x * y)) * R(x \ 1,x,y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2159(a,1),177(a,1,2,1))]. 2161 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(1884(a,1),1761(a,1,1))]. 2162 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(255,a,1861,a(flip),b,1865,a)]. 2163 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(255,a,2103,a(flip),b,2161,a(flip)),flip(a)]. 2165 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(189(a,2),2163(a,1,1))]. 2166 (L(x,y,z) * u) \ ((x * (x \ u)) * L(T(x,x \ u),y,z)) = a(x,x \ u,L(T(x,x \ u),y,z)). [para(1421(a,1),568(a,1,1))]. 2167 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(127(a,1),836(a,1,2,1,1)),flip(a)]. 2168 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(172,a,1639,a(flip),b,2167,a),flip(a)]. 2169 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(594,a,2168,a),flip(a)]. 2170 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). [para(1727(a,1),2168(a,1,2,1,1)),flip(a)]. 2171 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(927(a,1),2169(a,2,1,2))]. 2172 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1253(a,1),2171(a,1,1,2)),flip(a)]. 2173 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(23,a,1658,a(flip),b,2172,a)]. 2174 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(2173(a,1),129(a,1,1))]. 2175 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(255,a,1741,a(flip),b,2174,a(flip))]. 2177 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(663(a,1),2175(a,1,1))]. 2178 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(2175(a,1),2141(a,1,2,2))]. 2179 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(87,a,2178,a),flip(a)]. 2181 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(73(a,1),2177(a,1,2))]. 2182 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [para(2181(a,1),70(a,1,2))]. 2183 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(1200(a,2),2181(a,1,1))]. 2184 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(127(a,1),837(a,1,2,1,1)),flip(a)]. 2185 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(172,a,1643,a(flip),b,2184,a),flip(a)]. 2186 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(87,a,2185,a)]. 2187 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [hyper(255,a,340,a(flip),b,2185,a(flip))]. 2188 T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). [para(675(a,1),2185(a,2,1,2))]. 2189 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(342(a,1),2186(a,1,2,1,2))]. 2190 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(940(a,1),2187(a,2,2,1))]. 2191 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). [para(1095(a,1),2188(a,1,2))]. 2192 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(153(a,1),2191(a,2,1,2))]. 2193 (1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(22,a,2064,a,b,2192,a)]. 2194 (T(x,y) \ x) \ ((T(x,y) \ x) / x) = T(1 / x,T(x,y) \ x). [hyper(172,a,2193,a,b,19,a),flip(a)]. 2196 T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x). [para(2193(a,1),1096(a,1,1))]. 2197 (1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x). [hyper(255,a,129,a(flip),b,2196,a(flip))]. 2198 (1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1. [hyper(255,a,1091,a(flip),b,2197,a)]. 2199 (1 / x) * ((T(x,y) \ 1) * x) != z | T(x,y) \ 1 = z. [para(2197(a,2),1093(a,1))]. 2200 (T(x,y) \ x) * T(T(1 / x,T(x,y) \ x),x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2194(a,1),974(a,2,2,1)),flip(a)]. 2201 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(2152(a,1),2190(a,1,1)),flip(a)]. 2202 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(255,a,2091,a,b,2201,a)]. 2203 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(22,a,1448,a(flip),b,2202,a)]. 2204 (T(x,y) / x) * (1 / T(x,y)) = 1 / x. [para(2203(a,1),19(a,1,2))]. 2205 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(199(a,1),2203(a,1,2))]. 2206 T(x,y) * ((T(x,y) / x) \ (1 / x)) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2203(a,2),1464(a,1,2))]. 2208 L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x. [para(136(a,1),1036(a,1,1,1,1)),flip(a)]. 2209 (1 / x) * L(T((1 / x) \ 1,y),z,u) = L(T(x,y),z,u) / x. [hyper(1057,a,2208,a)]. 2210 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(73(a,1),2209(a,1,2,1,1))]. 2211 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(407(a,1),1148(a,1,1)),flip(a)]. 2212 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(19(a,1),1314(a,1,2,1)),flip(a)]. 2213 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(129(a,1),2212(a,1,1)),flip(a)]. 2214 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(129(a,1),2213(a,1,2)),flip(a)]. 2215 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(18(a,1),2214(a,1,1)),flip(a)]. 2216 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(18(a,1),2215(a,1,2)),flip(a)]. 2217 (1 / T(x,y)) * T(T(x,z),u) = T(T(x,z),u) / T(x,y). [para(21(a,1),1358(a,1,1,1)),flip(a)]. 2219 T(T(x,y),z) / T(x,x \ 1) = (x \ 1) * T(T(x,y),z). [para(199(a,1),2217(a,1,1)),flip(a)]. 2220 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(255,a,182,a(flip),b,2219,a)]. 2221 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(255,a,927,a(flip),b,2220,a)]. 2222 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(2221(a,1),2205(a,1,1))]. 2223 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(255,a,2175,a(flip),b,2222,a(flip))]. 2224 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [para(2223(a,1),73(a,1,1)),flip(a)]. 2225 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(128(a,1),2223(a,1,2,1))]. 2226 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(564(a,1),2223(a,1,2,1))]. 2227 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(288(a,1),2223(a,1,2,1)),flip(a)]. 2228 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [para(128(a,1),2224(a,1,1)),flip(a)]. 2229 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(564(a,1),2224(a,1,1)),flip(a)]. 2230 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2227(a,1),70(a,1,2))]. 2231 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2228(a,2),127(a,1,2))]. 2232 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(129(a,1),2228(a,1,1,1)),flip(a)]. 2234 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(255,a,1483,a,b,2230,a(flip)),flip(a)]. 2236 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2230(a,1),1890(a,1,1,1,2))]. 2237 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(660,a,2231,a)]. 2238 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(129(a,1),2231(a,1,2,1,1)),flip(a)]. 2239 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(476(a,1),2231(a,1,2,1,1)),flip(a)]. 2240 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(255,a,1523,a,b,2237,a)]. 2241 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(255,a,128,a,b,2237,a)]. 2242 (T(x,y) \ 1) \ (T(x,y) \ x) = (x \ 1) \ 1. [hyper(255,a,1089,a,b,2237,a(flip)),flip(a)]. 2243 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(2068,a,2240,a)]. 2244 K(K(x,x \ 1),y) = 1. [hyper(41,a,2243,a)]. 2245 T(x,K(y,y \ 1)) = x. [hyper(40,a,2243,a)]. 2246 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(80,a,2243,a(flip),b,2066,a)]. 2247 K(x,x \ 1) * y = y * K(x,x \ 1). [para(2243(a,1),127(a,1,2)),flip(a)]. 2249 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2243(a,1),225(a,1,2))]. 2251 K(K(x \ 1,x),y) = 1. [para(1451(a,1),2244(a,1,1))]. 2252 K(x,x \ 1) * y != z * K(x,x \ 1) | z = y. [para(2245(a,1),174(a,1,2))]. 2253 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2245(a,1),225(a,1,2))]. 2256 T(x,K(y \ 1,y)) = x. [para(1451(a,1),2245(a,1,2))]. 2258 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(42,a,2251,a)]. 2263 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2048,a,2256,a),flip(a)]. 2264 (x * K(y \ 1,y)) / x = K(y \ 1,y). [para(2256(a,1),144(a,1,2))]. 2266 K(x \ 1,x) * y != z * K(x \ 1,x) | z = y. [para(2256(a,1),174(a,1,2))]. 2267 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2256(a,1),225(a,1,2))]. 2269 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(255,a,1651,a,b,2258,a(flip)),flip(a)]. 2270 T((x \ 1) * x,y) = K(x \ 1,x). [para(189(a,1),2258(a,1,1))]. 2271 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2258(a,1),225(a,1,2))]. 2272 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [hyper(255,a,1822,a(flip),b,2247,a(flip))]. 2273 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2247(a,2),35(a,2,2)),flip(a)]. 2274 R(1 / x,x,K(y,y \ 1)) = K(y,y \ 1) / (K(y,y \ 1) * x). [para(2247(a,2),163(a,2,2))]. 2275 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2247(a,2),451(a,1,2))]. 2276 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) = R(T(z,y * K(x,x \ 1)),y,K(x,x \ 1)). [para(2247(a,2),574(a,1,1))]. 2277 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) != u | L(T(z,y),y,K(x,x \ 1)) = u. [para(2247(a,1),686(a,1,2))]. 2278 L(x,y,y \ 1) * K(y \ 1,y) = (y \ 1) * (y * x). [hyper(741,a,2263,a),flip(a)]. 2279 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(255,a,974,a(flip),b,2263,a)]. 2280 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [hyper(80,a,465,a(flip),b,2263,a)]. 2281 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(26,a,2263,a)]. 2282 L(x \ 1,x,K(y \ 1,y)) = (x * K(y \ 1,y)) \ K(y \ 1,y). [para(2263(a,1),162(a,2,1))]. 2283 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2263(a,1),112(a,1,1))]. 2284 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2263(a,2),451(a,1,2))]. 2286 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). [para(2263(a,2),574(a,1,1))]. 2287 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2263(a,1),686(a,1,2))]. 2288 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2263(a,2),292(a,1,1))]. 2289 ((x * y) / x) \ K(y \ 1,y) = T(((x * y) / x) \ 1,y). [para(2264(a,1),1665(a,1,2))]. 2291 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2269(a,1),1205(a,1,1))]. 2292 x * K(x \ (x / T(x,y)),x) = 1 / (1 / x). [para(2269(a,2),1483(a,1,2))]. 2293 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(255,a,405,a(flip),b,2232,a(flip)),flip(a)]. 2294 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2232(a,1),167(a,1,1,2))]. 2297 (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. [para(2242(a,1),19(a,1,2))]. 2299 L(x,T(x,y) \ 1,T(x,y)) = 1 / (1 / x). [hyper(1614,a,2292,a)]. 2300 T(x,y) \ (1 / (1 / x)) = (T(x,y) \ 1) * x. [hyper(80,a,2292,a(flip),b,1207,a)]. 2301 L(L(x,y,z),T(x,u) \ 1,T(x,u)) = L(1 / (1 / x),y,z). [para(2299(a,1),50(a,1,1)),flip(a)]. 2302 ((x \ 1) \ 1) * T(T(x,y) \ 1,x) = T(x,y) \ x. [hyper(255,a,1894,a,b,2297,a(flip)),flip(a)]. 2305 x * T(x \ (x / y),y) != z | K(y \ 1,y) * (x / y) = z. [para(974(a,1),2271(a,1))]. 2306 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1846(a,1),2279(a,2,2))]. 2307 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2279(a,1),2267(a,1))]. 2308 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(18(a,1),2293(a,2,1,1))]. 2309 T(x,((y * x) / y) \ 1) != z | T(x,x \ 1) = z. [para(2308(a,2),287(a,1))]. 2310 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(18(a,1),2294(a,1,1,2,1,1))]. 2311 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2294(a,1),226(a,1,1)),flip(b)]. 2313 T(((x * y) / x) * (((x * y) / x) \ K(y \ 1,y)),((x * y) / x) \ y) = K(y \ (((x * y) / x) \ y),y). [para(2289(a,2),1222(a,1,1,2))]. 2315 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(751,a,2288,a)]. 2316 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(167(a,1),2236(a,1,1))]. 2318 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [para(2247(a,2),2273(a,1,1))]. 2319 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(37(a,2),1736(a,1,2,1,1)),flip(a)]. 2320 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(832(a,1),2319(a,1,2))]. 2321 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1752,a,2320,a),flip(a)]. 2322 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(18(a,1),2321(a,1,2,1,2)),flip(a)]. 2323 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(167(a,1),2322(a,1,1,2,1,2)),flip(a)]. 2324 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(172,a,1901,a,b,1771,a(flip))]. 2325 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(172,a,1900,a(flip),b,1771,a(flip)),flip(a)]. 2326 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(581(a,1),1948(a,2,2,1))]. 2327 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1622(a,1),1972(a,1,2)),flip(a)]. 2328 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(96,a,2327,a)]. 2329 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2328(a,1),810(a,1,1))]. 2330 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(255,a,253,a(flip),b,2329,a(flip))]. 2331 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2330(a,1),627(a,1,1))]. 2332 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(255,a,129,a(flip),b,2331,a(flip))]. 2333 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(255,a,31,a,b,2332,a),flip(a)]. 2334 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(31(a,2),2333(a,2,1,2)),flip(a)]. 2335 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(2334(a,1),21(a,1,1))]. 2336 T(K(x,y),1 / y) = K(x,y). [para(2334(a,1),166(a,1,1))]. 2337 T(1 / x,K(y,x)) = 1 / x. [hyper(40,a,2336,a)]. 2338 T(x \ 1,K(y,x)) = T(1 / x,x). [para(2337(a,1),185(a,1,1)),flip(a)]. 2341 T(x \ 1,K(y,x)) = x \ 1. [hyper(255,a,129,a(flip),b,2338,a)]. 2343 T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). [para(2341(a,1),344(a,2,1))]. 2344 T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). [para(19(a,1),2343(a,1,1,1))]. 2345 T(x \ y,K(z,y \ x)) = x \ y. [hyper(255,a,342,a(flip),b,2344,a)]. 2346 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(2345(a,1),127(a,1,2))]. 2347 ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). [para(290(a,1),1981(a,1,2,1,2)),flip(a)]. 2348 (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). [para(167(a,1),2347(a,1,1)),flip(a)]. 2349 x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. [para(167(a,1),2348(a,1,2)),flip(a)]. 2350 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). [para(2349(a,1),1919(a,1,2,1)),flip(a)]. 2351 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). [para(20(a,1),2350(a,2,2))]. 2352 (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. [para(2351(a,1),19(a,1,2))]. 2355 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1903(a,1),2009(a,1,2)),flip(a)]. 2356 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1909(a,2),2355(a,1,1))]. 2357 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(169(a,1),2038(a,2,1))]. 2358 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(255,a,67,a(flip),b,2357,a)]. 2360 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(2358(a,1),1143(a,1,1)),flip(a)]. 2361 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(255,a,1786,a(flip),b,2360,a(flip)),flip(a)]. 2362 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(73(a,1),2361(a,1,1,2,1))]. 2363 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(73(a,1),2362(a,2,2,1))]. 2364 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(2363(a,1),19(a,1,2))]. 2365 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(2363(a,1),2136(a,1,1))]. 2366 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(20(a,1),2365(a,1,1,2))]. 2367 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(81,a,20,a(flip),b,2364,a),flip(a)]. 2368 K(1 / x,(y / (x * y)) * x) = 1. [para(20(a,1),2366(a,1,2,2))]. 2369 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(42,a,2368,a)]. 2370 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1866,a,2369,a)]. 2371 L(x \ 1,x,(x \ y) / y) = 1 / x. [para(19(a,1),2370(a,1,3,2))]. 2372 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(163(a,2),2370(a,1,3))]. 2373 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(2370(a,1),341(a,1,2))]. 2374 (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. [para(2371(a,1),341(a,1,2))]. 2375 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(2372(a,1),347(a,1,2))]. 2376 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(2373(a,1),1792(a,1,2))]. 2377 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(2376(a,1),19(a,1,2)),flip(a)]. 2379 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1176,a,2375,a)]. 2380 T(1 / (1 / x),y / (x * y)) = x. [para(163(a,1),2379(a,1,2))]. 2381 T(x,y / (x * y)) = T(x,x \ 1). [para(2380(a,1),1440(a,1,1)),flip(a)]. 2382 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(255,a,128,a(flip),b,2381,a)]. 2383 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(80,a,2381,a,b,1522,a)]. 2384 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(2381(a,1),1292(a,2,1))]. 2385 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(21(a,1),2382(a,1,2,2))]. 2386 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(2385(a,1),397(a,1,1))]. 2387 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(20(a,1),2367(a,1,1)),flip(a)]. 2388 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(2387(a,1),1211(a,1,1,2))]. 2389 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(1390,a,2386,a)]. 2390 T(x,y / (y * x)) = T(x,x \ 1). [hyper(2309,a,2389,a),flip(a)]. 2391 T(x,y / (y * x)) = (x \ 1) \ 1. [hyper(255,a,2308,a(flip),b,2389,a(flip))]. 2392 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2390(a,1),127(a,1,2))]. 2394 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(19(a,1),2391(a,1,2,2))]. 2396 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(70(a,1),2394(a,1,2))]. 2397 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(255,a,615,a(flip),b,2388,a(flip))]. 2399 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [para(2397(a,1),21(a,1,1))]. 2402 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(18(a,1),2130(a,1,1,1))]. 2403 x \ T(x,(y * x) \ y) = T(K(x,(y * x) \ y),x). [hyper(172,a,2402,a,b,19,a),flip(a)]. 2406 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2280(a,1),2315(a,1,1,2))]. 2407 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(814,a,845,a),flip(a)]. 2408 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(21(a,1),2407(a,1,2,1,2,2)),flip(a)]. 2409 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(789(a,1),2407(a,2,1))]. 2410 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(308,a,2408,a),flip(a)]. 2411 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2408(a,1),308(a,1))]. 2412 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(997,a,2410,a),flip(a)]. 2413 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(255,a,1332,a(flip),b,2410,a(flip)),flip(a)]. 2414 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [hyper(172,a,2412,a,b,19,a),flip(a)]. 2416 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(301(a,2),2413(a,2,1,2,1)),flip(a)]. 2417 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1903(a,1),2413(a,1,2)),flip(a)]. 2418 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(996(a,1),2411(a,1))]. 2420 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). [hyper(1054,a,2409,a),flip(a)]. 2421 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(308,a,2409,a),flip(a)]. 2422 (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). [hyper(172,a,2409,a(flip),b,1770,a),flip(a)]. 2424 T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(37(a,2),2422(a,1,1))]. 2425 T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(37(a,2),2424(a,1,2,1,2,1))]. 2426 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(255,a,427,a(flip),b,901,a)]. 2427 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(940(a,1),2426(a,2,2))]. 2428 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2427(a,1),1604(a,1,1)),flip(a)]. 2429 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(255,a,1423,a(flip),b,1032,a(flip)),flip(a)]. 2430 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = (L(x \ 1,y,z) * x) * x. [hyper(255,a,460,a(flip),b,1539,a)]. 2431 x * (x * L(x \ (x \ (1 / (1 / x))),y,z)) = (L(x \ 1,y,z) * x) * x. [hyper(1048,a,2430,a)]. 2432 x * (x * L(x \ K(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(1480(a,1),2431(a,1,2,2,1,2))]. 2433 x * (x * L(T(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(294(a,1),2432(a,1,2,2,1))]. 2434 (L(x \ 1,y,z) * x) * x = x * (L(x \ 1,y,z) * x). [para(183(a,1),2433(a,1,2)),flip(a)]. 2435 T(x,L(x \ 1,y,z) * x) = x. [hyper(173,a,2434,a)]. 2436 T(x \ y,(y \ x) * (x \ y)) = x \ y. [para(342(a,1),2435(a,1,2,1))]. 2437 T(x \ (x / y),y * (x \ (x / y))) = x \ (x / y). [para(73(a,1),2436(a,1,2,1))]. 2438 R(x \ (x / y),y,x \ (x / y)) = T(x \ (x / y),y). [para(2437(a,1),718(a,1,1))]. 2439 T(x \ (x / y),y) \ T((x \ (x / y)) * y,x \ (x / y)) = T(y,x \ (x / y)). [para(2438(a,1),1319(a,1,1))]. 2440 T(x \ (x / y),y) \ ((x \ (x / y)) * y) = T(y,x \ (x / y)). [para(1733(a,1),2439(a,1,2))]. 2441 T(x,T(y \ (y / x),x)) = T(x,y \ (y / x)). [hyper(359,a,2440,a)]. 2442 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(T(1 / x,R(x,y,z)),x)). [para(1175(a,1),2441(a,1,2,1)),flip(a)]. 2443 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(x \ 1,R(x,y,z))). [para(185(a,1),2442(a,2,2))]. 2444 T(x,T(1 / x,R(x,y,z))) = T(x,T(x \ 1,R(x,y,z))). [para(1175(a,1),2443(a,1,2))]. 2445 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(895(a,1),1590(a,1,1))]. 2446 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1109(a,1),2445(a,1,1))]. 2447 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1588(a,1),2446(a,1,2))]. 2448 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(255,a,45,a,b,2447,a(flip)),flip(a)]. 2449 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1571(a,1),2448(a,1,1))]. 2450 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(255,a,1109,a,b,2449,a(flip)),flip(a)]. 2451 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2449(a,1),2012(a,1,2))]. 2452 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(255,a,1591,a(flip),b,2450,a(flip))]. 2453 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(656(a,1),1750(a,1,1)),flip(a)]. 2454 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * (y * T(y \ 1,z))) * z. [para(127(a,1),2453(a,1,2))]. 2455 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). [para(1406(a,1),2099(a,2,2))]. 2456 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(664(a,1),2429(a,1,2)),flip(a)]. 2457 T(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x. [para(2456(a,2),1540(a,1,2))]. 2458 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). [hyper(255,a,192,a(flip),b,2455,a)]. 2459 L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). [para(1529(a,1),2458(a,1,1)),flip(a)]. 2460 K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). [para(127(a,1),2459(a,1,1)),flip(a)]. 2461 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(189(a,2),1010(a,1,2,1,1))]. 2462 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1448(a,2),1461(a,1,2,1,1))]. 2463 (x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1709(a,1),1692(a,1,2,1))]. 2464 T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z). [para(1160(a,1),2463(a,1,2)),flip(a)]. 2465 T(x \ 1,R(x,y,z)) \ ((x \ 1) * R(x,y,z)) = T(R(x,y,z),x \ 1). [para(2464(a,1),1716(a,1,2))]. 2466 T(R(x,y,z),T(x \ 1,R(x,y,z))) = T(R(x,y,z),x \ 1). [hyper(359,a,2465,a)]. 2467 R(T(x,T(x \ 1,R(x,y,z))),y,z) = T(R(x,y,z),x \ 1). [hyper(255,a,47,a,b,2466,a(flip)),flip(a)]. 2468 R(T(x,T(x \ 1,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [hyper(255,a,47,a,b,2467,a)]. 2469 R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [para(2444(a,2),2468(a,1,1))]. 2470 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). [para(1203(a,2),1734(a,2,2,1))]. 2471 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(37(a,2),1745(a,1,1,2,2,1,2)),flip(a)]. 2472 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(66(a,1),1748(a,1,1)),flip(a)]. 2473 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(127(a,1),2472(a,1,1))]. 2475 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(18(a,1),2473(a,1,1,1)),flip(a)]. 2476 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2473(a,1),25(a,1))]. 2477 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2475(a,2),25(a,1))]. 2478 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1529(a,1),1829(a,1,1))]. 2479 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1020(a,1),2478(a,1,2))]. 2480 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(255,a,2165,a(flip),b,2479,a(flip)),flip(a)]. 2481 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(255,a,2131,a(flip),b,2480,a)]. 2482 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(23,a,2161,a,b,2481,a(flip)),flip(a)]. 2483 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(255,a,162,a(flip),b,2482,a),flip(a)]. 2484 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(162(a,1),2483(a,2,2,2)),flip(a)]. 2485 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(255,a,17,a,b,2484,a)]. 2486 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(87,a,2484,a)]. 2487 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2486(a,1),241(a,1,1))]. 2488 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(22,a,1030,a,b,2485,a(flip)),flip(a)]. 2489 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(80,a,2488,a(flip),b,2456,a(flip)),flip(a)]. 2490 T(1 / (1 / x),(y * x) \ y) / 1 = x. [para(2488(a,1),2457(a,1,2))]. 2492 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(255,a,128,a,b,2489,a)]. 2493 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(81,a,2489,a(flip),b,2402,a),flip(a)]. 2494 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(19(a,1),2489(a,1,2,1))]. 2495 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(104(a,1),2492(a,1,2,1))]. 2496 T(1 / (1 / x),(y * x) \ y) = x. [hyper(216,a,2490,a)]. 2498 T(1 / (1 / (x \ y)),y \ x) = x \ y. [para(19(a,1),2496(a,1,2,1))]. 2499 (((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y). [para(2496(a,1),167(a,1,1,2))]. 2500 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(255,a,1447,a(flip),b,2493,a)]. 2502 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(19(a,1),2500(a,1,2,1)),flip(a)]. 2503 K(x,y \ (y / x)) = K(x,x \ 1). [para(21(a,1),2500(a,1,2,1))]. 2504 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(1115(a,2),2500(a,1,2,1))]. 2505 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2500(a,2),1535(a,1,1))]. 2506 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2500(a,2),2243(a,1,1))]. 2507 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(255,a,616,a,b,2503,a(flip)),flip(a)]. 2508 1 / T(x \ y,y \ x) = (x \ y) \ 1. [para(2494(a,2),70(a,1,2))]. 2509 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(73(a,1),2494(a,1,2))]. 2510 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. [para(1204(a,2),2494(a,1,1))]. 2511 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2494(a,1),1556(a,1,2)),flip(a)]. 2512 K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). [para(2494(a,2),1657(a,2,1,2,2)),flip(a)]. 2513 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(2494(a,2),2294(a,1,1,2))]. 2514 T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). [para(1204(a,2),2498(a,1,1,2,2))]. 2515 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(18(a,1),2508(a,1,2,2))]. 2516 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(1453,a,2502,a)]. 2517 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(18(a,1),2502(a,2,2))]. 2518 T(x,K(y \ z,z \ y)) = x. [para(2502(a,1),2245(a,1,2))]. 2519 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2477,a,2518,a),flip(a)]. 2520 (x * K(y \ z,z \ y)) / x != u | K(y \ z,z \ y) = u. [para(2518(a,1),305(a,1,2)),flip(b)]. 2521 x * (((y \ (y / x)) \ 1) \ 1) = (y \ (y / x)) * x. [para(2509(a,1),127(a,1,2))]. 2522 L(x,(y * x) \ y,x) = 1 / (1 / x). [hyper(255,a,1728,a(flip),b,2499,a(flip)),flip(a)]. 2524 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [para(19(a,1),2522(a,1,2,1))]. 2525 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [hyper(255,a,1735,a(flip),b,2524,a(flip)),flip(a)]. 2526 L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). [para(18(a,1),2524(a,1,2))]. 2527 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2524(a,1),2134(a,1,2)),flip(a)]. 2528 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(617,a,2513,a)]. 2529 T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. [para(18(a,1),2528(a,1,2))]. 2530 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(31(a,2),2495(a,1,2)),flip(a)]. 2531 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(255,a,128,a(flip),b,2530,a(flip))]. 2532 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(255,a,2074,a(flip),b,2531,a(flip))]. 2535 1 / (1 / K(x,y)) = K(x,y). [para(2532(a,1),145(a,1,2,2))]. 2537 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2502(a,1),2527(a,1,2))]. 2538 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2507(a,1),2537(a,1,2))]. 2539 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ ((x * (y * z)) / L(z,y,x))))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(143(a,1),2538(a,1,1)),flip(a)]. 2540 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [hyper(255,a,2128,a(flip),b,2526,a(flip)),flip(a)]. 2542 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(70(a,1),2540(a,1,1))]. 2543 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(896(a,1),2504(a,1,2))]. 2544 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(255,a,2502,a(flip),b,2543,a)]. 2545 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(193(a,1),2487(a,2,1))]. 2546 T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). [hyper(255,a,1656,a(flip),b,2512,a(flip))]. 2547 T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). [para(18(a,1),2546(a,1,1,1)),flip(a)]. 2548 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). [para(2535(a,1),2514(a,1,1))]. 2549 ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). [hyper(255,a,2510,a(flip),b,2548,a(flip)),flip(a)]. 2550 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(2549(a,1),70(a,1,2))]. 2551 (x \ 1) \ (T(x,y) \ 1) = 1 / (x \ T(x,y)). [hyper(255,a,2179,a,b,2550,a),flip(a)]. 2552 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). [para(18(a,1),2547(a,1,1,1)),flip(a)]. 2553 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). [para(18(a,1),2552(a,2,2))]. 2555 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * (y * x). [para(18(a,1),2003(a,2,2))]. 2556 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = L(x,y,1 / y). [hyper(255,a,192,a(flip),b,2555,a)]. 2558 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | L(x,y,1 / y) = z. [para(2555(a,2),434(a,1))]. 2559 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | (1 / y) * (y * x) = z. [para(2556(a,2),366(a,1))]. 2560 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1158(a,1),2093(a,1,2,1)),flip(a)]. 2561 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(80,a,64,a(flip),b,2560,a),flip(a)]. 2562 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1150(a,1),2095(a,1,2,1)),flip(a)]. 2563 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(80,a,64,a(flip),b,2562,a),flip(a)]. 2564 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2563(a,1),24(a,1))]. 2565 x \ ((x * (y * T(y \ 1,x))) \ x) = (x * (y * T(y \ 1,x))) \ 1. [para(2144(a,1),2145(a,1,1)),flip(a)]. 2566 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(2144(a,1),2146(a,1,2)),flip(a)]. 2567 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(255,a,18,a(flip),b,2566,a)]. 2569 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(924(a,1),2567(a,1,1,2)),flip(a)]. 2570 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). [para(953(a,2),2567(a,1,1,2)),flip(a)]. 2571 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(255,a,924,a(flip),b,2569,a(flip))]. 2572 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(977,a,2570,a),flip(a)]. 2573 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(313,a,2572,a),flip(a)]. 2574 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(255,a,192,a(flip),b,2147,a)]. 2575 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(2144(a,1),2574(a,1,1)),flip(a)]. 2576 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(953(a,2),2575(a,1,1)),flip(a)]. 2577 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(953(a,2),2576(a,1,1,2)),flip(a)]. 2578 (T(x,y) \ x) * T(x \ 1,T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(185(a,1),2200(a,1,2))]. 2579 ((T(x,y) \ x) / x) * K(x \ 1,x) = (x \ 1) * (T(x,y) \ x). [hyper(225,a,2578,a),flip(a)]. 2581 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(21(a,1),2421(a,2,2,1,2,1))]. 2582 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(96,a,2581,a)]. 2583 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(16(a,1),2582(a,1,1,2,1,2,2)),flip(a)]. 2584 ((x * y) * L((x \ (z * u)) / y,y,x)) / u = ((x * y) / u) * ((y * (((x * y) / u) \ z)) / y). [para(782(a,2),2582(a,1,1,2))]. 2585 ((x * y) * ((y * ((x * y) \ x)) / y)) / x = ((x * y) / x) * ((((x * y) / x) \ y) / y). [para(1146(a,1),2583(a,1,2,1)),flip(a)]. 2586 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2427(a,1),2428(a,1,2,1)),flip(a)]. 2587 L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). [hyper(362,a,2460,a),flip(a)]. 2588 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. [hyper(255,a,1753,a(flip),b,2461,a)]. 2589 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(935(a,1),2462(a,2,2))]. 2590 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(255,a,1680,a(flip),b,2589,a)]. 2591 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(661,a,2590,a),flip(a)]. 2592 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(18(a,1),2590(a,1,2,1)),flip(a)]. 2593 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [para(2590(a,1),855(a,1,2)),flip(a)]. 2594 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(129(a,1),2591(a,2,1))]. 2595 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2592(a,2),1824(a,1,2))]. 2596 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(255,a,2112,a(flip),b,2594,a(flip)),flip(a)]. 2597 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2596(a,1),19(a,1,2))]. 2598 ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). [para(73(a,1),2596(a,1,2,2,2)),flip(a)]. 2599 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(18(a,1),2597(a,1,2,1)),flip(a)]. 2600 R(x,y,K(x,x \ 1)) = x. [hyper(454,a,2599,a)]. 2601 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = ((1 / x) * y) * K(x \ 1,x). [para(1529(a,1),2599(a,1,2)),flip(a)]. 2602 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2600(a,1),47(a,2,1))]. 2603 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(255,a,2111,a(flip),b,2602,a(flip))]. 2605 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1451(a,1),2603(a,1,2,2))]. 2606 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(225,a,2595,a)]. 2607 K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. [para(2595(a,1),225(a,1))]. 2608 L(x,y,K(x,x \ 1)) = x. [hyper(422,a,2606,a)]. 2609 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1529(a,1),2608(a,1,3))]. 2610 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2609(a,1),45(a,2,1))]. 2611 (1 / K(x,x \ 1)) * T(y,x) = T(((x \ 1) * x) * y,x). [para(281(a,1),2593(a,1,1,1)),flip(a)]. 2612 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(189(a,2),2611(a,2,1,1))]. 2613 T(K(x \ 1,x) * y,x) = ((x \ 1) * x) * T(y,x). [para(281(a,1),2612(a,1,1)),flip(a)]. 2614 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(189(a,2),2613(a,2,1))]. 2615 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2614(a,2),1407(a,1,2))]. 2616 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(225,a,2615,a)]. 2617 L(x,y,K(x \ 1,x)) = x. [hyper(422,a,2616,a)]. 2618 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2617(a,1),45(a,2,1))]. 2619 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(2157,a,2618,a)]. 2620 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(1009(a,1),2619(a,1,2)),flip(a)]. 2621 (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(382(a,1),2598(a,1,1)),flip(a)]. 2622 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2193(a,1),2601(a,2,1))]. 2623 (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(1533(a,1),2621(a,1,2,2))]. 2624 (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2587(a,2),2623(a,1,2))]. 2625 (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). [hyper(497,a,2624,a),flip(a)]. 2626 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(1529(a,1),2625(a,1,2))]. 2627 R(x,y,K(x \ 1,x)) = x. [hyper(454,a,2626,a)]. 2628 x * ((T(x,y) \ 1) * K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x). [para(1083(a,1),2626(a,1,1)),flip(a)]. 2629 R(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2627(a,1),47(a,2,1))]. 2630 x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. [para(2627(a,1),230(a,1,1))]. 2631 (T(x,y) \ 1) * K(x \ 1,x) = T(x,y) \ K(x \ 1,x). [para(2629(a,1),379(a,1,1)),flip(a)]. 2632 (T(x,y) \ x) * K(x \ 1,x) = x * (T(x,y) \ K(x \ 1,x)). [para(2631(a,1),2628(a,1,2)),flip(a)]. 2633 (T(x,y) \ x) * K(x \ 1,x) = T(x,y) \ (1 / (1 / x)). [hyper(255,a,1484,a(flip),b,2632,a)]. 2634 ((x * y) / x) * ((((x * y) / x) \ y) / y) = ((x * y) * L(1 / y,y,x)) / x. [para(763(a,1),2585(a,1,1,2)),flip(a)]. 2635 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * (y * (1 / y))) / x. [para(112(a,1),2634(a,2,1))]. 2636 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * K(y,y \ 1)) / x. [para(1448(a,2),2635(a,2,1,2))]. 2637 K(x,1 / ((y * x) / y)) = (y * K(x,x \ 1)) / y. [hyper(255,a,2102,a(flip),b,2636,a(flip)),flip(a)]. 2638 (x * K(x \ y,(x \ y) \ 1)) / x = K(x \ y,1 / (y / x)). [para(19(a,1),2637(a,1,2,2,1)),flip(a)]. 2639 (x * K(x \ y,y \ x)) / x = K(x \ y,1 / (y / x)). [para(2502(a,1),2638(a,1,1,2))]. 2640 (x * (1 / (1 / (x \ y)))) / y = K(y \ x,1 / (x / y)). [para(2527(a,1),2638(a,1,1))]. 2641 K(x \ y,1 / (y / x)) != z | K(x \ y,y \ x) = z. [para(2639(a,1),2520(a,1))]. 2642 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * (1 / (1 / K(x,(x / (y \ 1)) / x)))) / ((x * y) / x). [para(1911(a,2),2640(a,1,1,2,2,2)),flip(a)]. 2643 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(255,a,459,a(flip),b,653,a)]. 2644 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(839,a,2643,a)]. 2645 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(127(a,1),2644(a,1,2)),flip(a)]. 2646 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(255,a,1870,a(flip),b,1045,a(flip)),flip(a)]. 2648 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2646(a,1),789(a,1,1)),flip(a)]. 2649 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(255,a,570,a(flip),b,2648,a)]. 2650 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(255,a,1914,a(flip),b,2649,a(flip))]. 2651 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(839,a,1564,a),flip(a)]. 2652 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(656(a,1),2651(a,2,2))]. 2653 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(422,a,2652,a)]. 2654 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(255,a,1200,a(flip),b,2653,a),flip(a)]. 2655 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(67(a,1),2653(a,2,1,2))]. 2656 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(924(a,1),2653(a,1,1))]. 2657 L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). [para(20(a,1),2656(a,2,1,2))]. 2658 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(386(a,1),2656(a,2,1,2))]. 2659 L(x * T(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u. [para(2654(a,1),413(a,1))]. 2660 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2403(a,1),2658(a,1,1))]. 2661 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2506(a,1),2660(a,1,1))]. 2662 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2661(a,2),390(a,1,1)),flip(a)]. 2663 T(x,L(K(y,y \ 1),y,z)) = x. [para(2661(a,2),2256(a,1,2))]. 2665 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(255,a,2517,a(flip),b,2662,a(flip)),flip(a)]. 2666 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1638(a,1),1585(a,2,1))]. 2667 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1190(a,1),2666(a,2,1,1))]. 2668 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(255,a,35,a,b,2667,a),flip(a)]. 2669 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2667(a,2),466(a,1))]. 2670 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(255,a,1200,a(flip),b,2668,a),flip(a)]. 2671 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(67(a,1),2668(a,2,1,2))]. 2672 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1162(a,1),2668(a,2,1,2))]. 2673 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(225,a,2670,a),flip(a)]. 2675 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [hyper(255,a,953,a,b,979,a)]. 2676 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),((x * y) \ x) \ 1). [para(2675(a,1),129(a,1,1)),flip(a)]. 2677 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),y). [hyper(255,a,2553,a(flip),b,2676,a)]. 2678 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(189(a,2),1047(a,1,2,1,1))]. 2679 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(189(a,2),1049(a,1,2,1,1))]. 2680 (T(x,y) \ 1) * L(T(x,T(x,y) \ 1),z,u) = T(x,y) \ L(x,z,u). [para(19(a,1),1152(a,1,2,1)),flip(a)]. 2681 L(x,y,z) \ (T(x,u) \ L(x,y,z)) = T(x,u) \ 1. [hyper(80,a,2680,a(flip),b,183,a(flip))]. 2682 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1790(a,1),1178(a,1,1))]. 2683 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2469(a,1),2682(a,1,1))]. 2684 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1175(a,1),2683(a,2,1))]. 2685 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(2684(a,2),624(a,1))]. 2686 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(37(a,2),1215(a,1,1))]. 2687 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2159(a,1),2686(a,2,2))]. 2688 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(826(a,1),1396(a,1,2)),flip(a)]. 2689 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2654(a,1),1433(a,1,1))]. 2690 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(289(a,1),2689(a,1,1,1))]. 2691 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1424(a,1),2690(a,1,2))]. 2692 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [hyper(255,a,45,a,b,2691,a(flip)),flip(a)]. 2693 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1429(a,1),2692(a,2,1))]. 2694 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2258(a,1),2693(a,1,1))]. 2695 (x * y) * K(L(z,y,x) \ 1,z) = x * (y * K(z \ 1,z)). [para(2694(a,1),112(a,1,2))]. 2697 (x * y) * z != x * (y * K(u \ 1,u)) | K(L(u,y,x) \ 1,u) = z. [para(2695(a,1),24(a,1)),flip(a)]. 2698 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(105(a,1),2326(a,1,1))]. 2699 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(105(a,1),2698(a,1,2,1,1))]. 2700 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = (x \ 1) * (T(x,y) \ x). [hyper(255,a,2579,a(flip),b,2622,a)]. 2701 (1 / x) * ((T(x,y) \ x) * K(x \ 1,x)) = (x \ 1) * (T(x,y) \ x). [para(1529(a,1),2700(a,1,2,2))]. 2702 (1 / x) * (T(x,y) \ (1 / (1 / x))) = (x \ 1) * (T(x,y) \ x). [para(2633(a,1),2701(a,1,2))]. 2703 (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). [para(2300(a,1),2702(a,1,2))]. 2704 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(2199,a,2703,a),flip(a)]. 2705 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(80,a,2198,a(flip),b,2703,a(flip))]. 2707 T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). [hyper(284,a,2704,a),flip(a)]. 2708 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(255,a,2551,a(flip),b,2705,a(flip)),flip(a)]. 2709 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(255,a,2179,a(flip),b,2705,a(flip)),flip(a)]. 2710 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(2708(a,1),148(a,1,2,1))]. 2711 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(47(a,2),2709(a,1,1,2))]. 2712 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(129(a,1),2709(a,1,1,2)),flip(a)]. 2713 (x * T(x \ 1,y)) \ 1 = T(1 / x,y) \ (1 / x). [para(663(a,1),2709(a,1,1))]. 2714 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1923(a,1),2709(a,1,1,2)),flip(a)]. 2715 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(129(a,1),2712(a,1,1)),flip(a)]. 2716 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(18(a,1),2715(a,1,1,2)),flip(a)]. 2717 (x * T(x \ 1,y)) \ 1 = x \ (T(1 / x,y) \ 1). [hyper(255,a,2707,a(flip),b,2713,a)]. 2718 (x \ y) \ (T(1 / (x \ y),z) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1555(a,1),2717(a,1,1)),flip(a)]. 2719 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(18(a,1),2716(a,1,1)),flip(a)]. 2720 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(2719(a,1),70(a,1,2))]. 2722 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(18(a,1),2714(a,2,1))]. 2724 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(47(a,2),2711(a,2,1))]. 2725 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(255,a,1945,a(flip),b,2678,a)]. 2726 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(255,a,1934,a(flip),b,2679,a)]. 2727 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1018(a,1),2725(a,2,1))]. 2728 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(1017(a,1),2726(a,2,1))]. 2729 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(255,a,461,a(flip),b,772,a)]. 2730 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1391,a,2729,a)]. 2731 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1234(a,1),2730(a,2,1,1))]. 2732 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [para(37(a,2),1974(a,1,2,2,1)),flip(a)]. 2733 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(184(a,1),2732(a,2,2))]. 2734 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = L(T(x,y),y,K(z,z \ 1)). [hyper(2277,a,2276,a),flip(a)]. 2735 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(2287,a,2286,a),flip(a)]. 2736 ((x * y) / z) * ((y * (((x * y) / z) \ u)) / y) = (x * (y * ((x \ (u * z)) / y))) / z. [para(112(a,1),2584(a,1,1)),flip(a)]. 2737 x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T((1 / x) \ 1,y)). [para(73(a,1),1139(a,1,2,1)),flip(a)]. 2738 x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)). [para(73(a,1),2737(a,2,2,2,1))]. 2739 x * T(x \ T(x,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)). [para(73(a,1),2738(a,1,2,1,2,1))]. 2740 (1 / x) \ (x \ T(x,y)) = x * T(x \ T(x,y),x). [para(73(a,1),2739(a,1,2,2)),flip(a)]. 2741 (1 / x) \ (x \ T(x,y)) = (x \ T(x,y)) * x. [hyper(255,a,127,a(flip),b,2740,a)]. 2742 (x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ (x \ (x * K(x,y))). [para(1923(a,1),2741(a,1,2,2)),flip(a)]. 2743 (x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ K(x,y). [para(18(a,1),2742(a,2,2))]. 2745 (x \ (x * K(x,y))) * x = (1 / x) \ K(x,y). [para(1923(a,1),2743(a,1,1,2))]. 2746 (1 / x) \ K(x,y) = K(x,y) * x. [para(18(a,1),2745(a,1,1)),flip(a)]. 2748 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(18(a,1),1808(a,1,2,1)),flip(a)]. 2749 K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [hyper(255,a,1466,a(flip),b,1889,a)]. 2750 K(x,x \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [para(1888(a,1),2749(a,1,1))]. 2751 L(x \ y,x,K(x,x \ 1)) = K(x,x \ 1) * (((x \ 1) \ 1) \ y). [para(128(a,1),2750(a,1,2,1)),flip(a)]. 2752 a(x,x \ y,L(T(x,x \ y),z,u)) = (L(x,z,u) * y) \ (y * L(T(x,x \ y),z,u)). [para(19(a,1),2166(a,1,2,1)),flip(a)]. 2754 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(255,a,1734,a(flip),b,2470,a(flip))]. 2755 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(2183(a,1),2754(a,1,2))]. 2756 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(255,a,2211,a(flip),b,2755,a(flip))]. 2757 T(1 / (1 / x),y) \ T(x,y) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2756(a,1),2206(a,1))]. 2758 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1720(a,1),2657(a,1,1,2)),flip(a)]. 2759 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(60(a,1),2758(a,2,1))]. 2760 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(255,a,325,a(flip),b,2759,a)]. 2763 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2760(a,1),263(a,1,2)),flip(a)]. 2764 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(255,a,17,a(flip),b,2763,a)]. 2765 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2764(a,1),25(a,1)),flip(a)]. 2766 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1962(a,1),1920(a,1,2,1))]. 2767 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(20(a,1),2766(a,1,2)),flip(a)]. 2768 (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). [para(2767(a,1),19(a,1,2)),flip(a)]. 2770 (x \ 1) * K(R(x,y,z),x \ 1) != u | (x \ R(x,y,z)) / R(x,y,z) = u. [para(2767(a,1),220(a,1,2)),flip(b)]. 2771 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. [para(2768(a,2),222(a,1,2)),flip(b)]. 2772 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(2182(a,1),1290(a,1,1,2))]. 2773 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(939(a,1),2772(a,1,1,2)),flip(a)]. 2774 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(942(a,1),2773(a,2,1))]. 2775 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(407(a,1),2774(a,1,1))]. 2776 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(2757,a,2775,a)]. 2778 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(1111(a,1),2089(a,2,2,1))]. 2779 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1925(a,1),2778(a,1,1)),flip(a)]. 2780 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(255,a,2101,a(flip),b,2779,a(flip)),flip(a)]. 2781 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(765(a,1),2155(a,2,1))]. 2782 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(255,a,2688,a(flip),b,2781,a)]. 2783 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1773(a,1),2156(a,2,2,1))]. 2784 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(20(a,1),2783(a,2,2))]. 2785 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [hyper(255,a,2782,a(flip),b,2784,a(flip)),flip(a)]. 2787 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [para(2785(a,1),19(a,1,2))]. 2788 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(255,a,2525,a(flip),b,2787,a)]. 2789 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(22,a,1483,a,b,2788,a),flip(a)]. 2790 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(255,a,615,a(flip),b,2789,a)]. 2791 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2789(a,1),2511(a,1,2))]. 2792 L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). [hyper(255,a,2661,a,b,2790,a(flip)),flip(a)]. 2793 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(2790(a,1),1573(a,1,2))]. 2794 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(255,a,2500,a(flip),b,2792,a)]. 2795 K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). [para(2792(a,1),2665(a,2,1)),flip(a)]. 2797 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(1529(a,1),2794(a,1,1))]. 2798 K((x * y) \ x,y) = K(y \ 1,y). [hyper(255,a,2505,a(flip),b,2795,a(flip))]. 2800 K(x \ (x / y),y) = K(y \ 1,y). [para(21(a,1),2798(a,1,1,1))]. 2801 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(127(a,1),2798(a,1,1,1)),flip(a)]. 2802 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). [para(897(a,1),2800(a,1,1,2)),flip(a)]. 2803 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(37(a,1),2801(a,2,2)),flip(a)]. 2804 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(255,a,1529,a(flip),b,2797,a)]. 2805 (x * (y \ 1)) / K(y \ 1,y) = x * (1 / y). [para(2804(a,1),697(a,1,2))]. 2806 (x / (y \ 1)) * (1 / y) = x / K(y \ 1,y). [para(2804(a,1),699(a,1,2)),flip(a)]. 2807 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1764,a,2805,a)]. 2808 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(520,a,2805,a),flip(a)]. 2809 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(2805(a,1),21(a,1,1))]. 2810 (x * (1 / y)) * y = R(x,y \ 1,y). [para(2805(a,1),1763(a,1,1))]. 2812 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(1034,a,2807,a),flip(a)]. 2813 R(x / (1 / y),y \ 1,y) = x * y. [hyper(479,a,2812,a),flip(a)]. 2814 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [hyper(255,a,554,a(flip),b,2812,a(flip))]. 2815 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(70(a,1),2812(a,1,2)),flip(a)]. 2816 x \ R(x,y \ 1,y) = a(x,1 / y,y). [para(2812(a,1),648(a,1,2))]. 2817 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(2335(a,1),2810(a,1,1))]. 2818 L(a(x,1 / y,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2816(a,1),2406(a,1,1))]. 2820 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [para(2808(a,1),21(a,1,1))]. 2821 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2271,a,2809,a)]. 2822 R(x,1 / y,K(y \ 1,y)) = x. [hyper(758,a,2809,a)]. 2823 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1449(a,1),2822(a,1,3))]. 2824 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(255,a,1471,a(flip),b,2823,a(flip)),flip(a)]. 2825 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2823(a,1),1470(a,1,1)),flip(a)]. 2826 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(255,a,1367,a,b,2820,a(flip)),flip(a)]. 2827 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(255,a,1368,a(flip),b,2820,a(flip))]. 2829 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(255,a,2110,a(flip),b,2824,a(flip)),flip(a)]. 2830 x * K(y,y \ 1) != z * y | z * (1 / (1 / y)) = x. [para(2825(a,1),25(a,1)),flip(a)]. 2831 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2826(a,1),21(a,1,1))]. 2832 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2826(a,1),2813(a,1,1))]. 2833 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2271,a,2827,a)]. 2835 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(255,a,2538,a(flip),b,2829,a(flip)),flip(a)]. 2836 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(80,a,2829,a(flip),b,2538,a(flip)),flip(a)]. 2838 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(2528(a,1),2814(a,1,1)),flip(a)]. 2839 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(70(a,1),2835(a,1,2,2,2,2)),flip(a)]. 2841 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(70(a,1),2836(a,2,2,2,2))]. 2842 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2836(a,1),73(a,1,1))]. 2843 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(18(a,1),2839(a,2,2,2,2))]. 2844 (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). [para(2839(a,1),73(a,1,1))]. 2846 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(145(a,1),2842(a,1,1,2,2)),flip(a)]. 2847 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2542(a,2),2843(a,1,2))]. 2848 x / L(y,y \ 1,x) = x * (1 / y). [para(70(a,1),2847(a,2,2,2))]. 2849 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2848(a,2),615(a,1,1,2))]. 2850 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(255,a,2653,a,b,2849,a(flip)),flip(a)]. 2851 x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). [hyper(255,a,115,a,b,2850,a(flip)),flip(a)]. 2852 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(73(a,1),2850(a,1,2))]. 2853 (x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)). [para(37(a,2),2844(a,1,1,2,2,2))]. 2855 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2846(a,1),73(a,1,1))]. 2856 x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). [para(2846(a,1),148(a,1,2,1))]. 2857 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(255,a,2509,a,b,2855,a(flip)),flip(a)]. 2858 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2855(a,1),2521(a,1,2))]. 2859 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2857(a,2),19(a,1,2))]. 2861 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(2307,a,2859,a)]. 2862 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(2305,a,2859,a)]. 2863 x * T(x \ (x / y),y) = x / T(y,y \ 1). [hyper(255,a,601,a,b,2859,a)]. 2864 (x / y) * K(y \ 1,y) = x / T(y,y \ 1). [hyper(255,a,601,a,b,2861,a)]. 2865 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(20(a,1),2861(a,1,1)),flip(a)]. 2866 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2861(a,1),1758(a,1,1))]. 2867 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = x * (L(x,y,z) / T(x,x \ 1)). [para(2863(a,1),1427(a,1,2)),flip(a)]. 2868 (x / T(y,y \ 1)) * y = x * K(y \ 1,y). [para(2864(a,1),1758(a,1,1))]. 2869 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [para(2865(a,1),21(a,1,1))]. 2870 (x / ((y \ 1) \ 1)) * y = K(y \ 1,y) * x. [hyper(255,a,2263,a,b,2866,a)]. 2871 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(20(a,1),2866(a,1,1)),flip(a)]. 2872 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(602(a,1),2866(a,1,1)),flip(a)]. 2873 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(972(a,1),2866(a,1,1)),flip(a)]. 2874 x * ((y \ 1) \ 1) != z * y | z * K(y \ 1,y) = x. [para(2869(a,1),25(a,1)),flip(a)]. 2876 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2263(a,2),2869(a,1,1))]. 2877 (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. [para(2809(a,1),2869(a,1,1))]. 2878 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [para(602(a,1),2870(a,1,1)),flip(a)]. 2879 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(23,a,465,a,b,2871,a)]. 2880 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2872(a,1),25(a,1)),flip(a)]. 2881 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2872(a,1),2831(a,1,1)),flip(a)]. 2882 x * ((y \ 1) \ 1) != z * y | K(y \ 1,y) * z = x. [para(2876(a,1),25(a,1)),flip(a)]. 2884 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(468,a,2879,a)]. 2885 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [hyper(80,a,2879,a(flip),b,634,a),flip(a)]. 2886 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(2385(a,2),2879(a,1,2))]. 2887 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(255,a,2812,a,b,2884,a)]. 2888 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(1248(a,2),2887(a,1,3))]. 2889 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(70(a,1),2856(a,1,2,1,1,2)),flip(a)]. 2891 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2392(a,1),2881(a,1,1)),flip(a)]. 2892 a(x,y \ 1,(y \ 1) \ 1) = a(x,1 / y,y). [hyper(255,a,2816,a(flip),b,2885,a)]. 2893 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1197(a,1),2832(a,2,1))]. 2894 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(2500(a,1),2793(a,1,2))]. 2895 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2489(a,1),2894(a,2,2))]. 2896 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2492(a,1),2894(a,2,2))]. 2898 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2249,a,2895,a)]. 2899 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(308,a,2895,a),flip(a)]. 2900 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(255,a,2108,a,b,2895,a(flip)),flip(a)]. 2901 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(127(a,1),2895(a,1,1))]. 2903 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(2249,a,2896,a)]. 2904 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(308,a,2896,a),flip(a)]. 2905 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) = y. [hyper(80,a,2896,a(flip),b,2108,a)]. 2906 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [hyper(2607,a,2898,a)]. 2907 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2228(a,1),2899(a,1,2))]. 2908 (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(81,a,2297,a(flip),b,2900,a),flip(a)]. 2909 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(81,a,314,a(flip),b,2900,a),flip(a)]. 2910 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(23,a,2877,a(flip),b,2900,a)]. 2911 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(23,a,2876,a(flip),b,2900,a)]. 2912 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(23,a,2869,a(flip),b,2900,a)]. 2913 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2882,a,2900,a(flip))]. 2914 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(2874,a,2900,a(flip))]. 2915 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(2830,a,2911,a),flip(a)]. 2916 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(2249,a,2911,a)]. 2917 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(23,a,2377,a(flip),b,2911,a)]. 2918 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(23,a,2247,a(flip),b,2911,a)]. 2919 K(x,x \ 1) \ y = K(x \ 1,x) * y. [hyper(80,a,2911,a(flip),b,2247,a)]. 2920 ((x \ 1) * (x * y)) * K(x,x \ 1) = L(y,x,x \ 1). [para(433(a,1),2911(a,1,1))]. 2921 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2911(a,1),2252(a,2))]. 2924 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2249,a,2912,a)]. 2925 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(308,a,2912,a),flip(a)]. 2926 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(261,a,2912,a)]. 2927 (x / (1 / (1 / y))) * K(y \ 1,y) = x / y. [hyper(23,a,2829,a,b,2912,a)]. 2928 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(23,a,2247,a(flip),b,2912,a)]. 2929 K(x,x \ 1) \ y = y * K(x \ 1,x). [hyper(80,a,2912,a(flip),b,2247,a)]. 2930 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(2912(a,1),2252(a,2))]. 2931 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2913(a,1),24(a,1)),flip(a)]. 2932 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2913(a,1),114(a,2,1))]. 2933 R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)). [para(2914(a,1),123(a,2,1))]. 2934 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(310,a,2916,a),flip(a)]. 2936 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2821(a,1),2916(a,1,2))]. 2937 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2833(a,1),2916(a,1,2))]. 2938 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2918(a,1),24(a,1)),flip(a)]. 2939 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2918(a,1),2266(a,1)),flip(a),flip(b)]. 2941 L(x \ (y * K(z \ 1,z)),x,K(z,z \ 1)) = (K(z,z \ 1) * x) \ y. [para(2924(a,1),114(a,2,2))]. 2942 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(255,a,2806,a,b,2925,a(flip)),flip(a)]. 2943 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2928(a,1),123(a,2,1))]. 2944 K(x * y,(x * y) \ 1) * ((((x * y) \ 1) * x) * y) = a((x * y) \ 1,x,y). [hyper(912,a,2934,a),flip(a)]. 2945 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. [para(2934(a,1),2588(a,1,2,1))]. 2946 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2934(a,1),2727(a,1,2,1))]. 2947 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2934(a,1),2728(a,1,2,1))]. 2948 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [hyper(2607,a,2903,a)]. 2949 L(x,K(x,x \ 1),y) = x. [hyper(1468,a,2905,a)]. 2950 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1529(a,1),2949(a,1,2))]. 2951 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(2910(a,1),457(a,1,1))]. 2953 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2230(a,1),2937(a,1,2,2))]. 2954 K(x / (y * x),y) = K(y \ 1,y). [hyper(23,a,2399,a,b,2917,a),flip(a)]. 2955 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(21(a,1),2954(a,1,1,2)),flip(a)]. 2957 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(20(a,1),2955(a,2,1))]. 2958 K(x,T(x,y) \ 1) = K(x,x \ 1). [hyper(22,a,2352,a,b,2908,a),flip(a)]. 2959 T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). [hyper(255,a,2243,a,b,2958,a),flip(a)]. 2961 T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). [para(2776(a,1),2959(a,1,1))]. 2963 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2803(a,1),2791(a,1,2)),flip(a)]. 2964 (x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)). [para(2230(a,1),2853(a,1,1,2))]. 2965 K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)). [hyper(255,a,2780,a,b,2961,a(flip))]. 2966 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. [para(127(a,1),2964(a,1,1)),flip(a)]. 2967 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). [para(2966(a,1),73(a,1,1))]. 2968 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. [para(70(a,1),2967(a,1,1,1,1,2)),flip(a)]. 2969 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [para(2968(a,1),73(a,1,1))]. 2971 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). [hyper(255,a,2958,a(flip),b,2965,a(flip)),flip(a)]. 2972 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [para(199(a,1),2971(a,2,2))]. 2973 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(255,a,2776,a(flip),b,2972,a(flip)),flip(a)]. 2974 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(939(a,1),2852(a,1,1))]. 2975 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(255,a,784,a(flip),b,2974,a(flip))]. 2976 T(K(1 / (1 / x),y),x) = K(x,y). [para(2975(a,2),166(a,1,1))]. 2977 T(K(1 / x,y),x \ 1) = K(x \ 1,y). [para(70(a,1),2976(a,1,1,1,2))]. 2978 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(199(a,1),2976(a,1,1,1,2))]. 2979 K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). [para(2977(a,1),1801(a,1,2)),flip(a)]. 2980 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(70(a,1),2978(a,1,1,1))]. 2981 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(255,a,1799,a(flip),b,2980,a(flip))]. 2982 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(70(a,1),2888(a,2,2))]. 2983 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(128(a,2),2982(a,1,2))]. 2985 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2776(a,1),2901(a,1,2))]. 2986 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(255,a,2231,a(flip),b,2985,a)]. 2987 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(2973(a,1),2986(a,1,2))]. 2989 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y). [para(200(a,1),2907(a,1,1)),flip(a)]. 2990 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2903(a,1),2946(a,1,2,1))]. 2991 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(2903(a,1),2947(a,1,2,1))]. 2992 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2904(a,1),2991(a,1,2,1))]. 2993 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = x * ((x \ 1) * L(x,y,z)). [para(1850(a,1),2867(a,2,2))]. 2994 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = L(L(x,y,z),x \ 1,x). [hyper(255,a,190,a(flip),b,2993,a)]. 2995 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = L(1 / (1 / x),y,z). [hyper(255,a,1497,a(flip),b,2994,a)]. 2996 L(x,y,z) * (T(1 / x,L(x,y,z)) * x) = L(1 / (1 / x),y,z). [para(1042(a,1),2995(a,1,2,1))]. 2997 L(x,y,z) * (x * T(x \ 1,L(x,y,z))) = L(1 / (1 / x),y,z). [para(396(a,1),2996(a,1,2))]. 2999 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y). [para(2228(a,1),2989(a,2,2,1))]. 3000 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(255,a,182,a(flip),b,2999,a)]. 3001 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(1529(a,1),2953(a,1,1))]. 3002 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1117(a,1),2802(a,2,1))]. 3003 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(255,a,2544,a(flip),b,3002,a)]. 3004 T(K(x \ 1,x),((y * x) / y) \ x) = K(x \ (((y * x) / y) \ x),x). [para(19(a,1),2313(a,1,1))]. 3005 K(x \ (((y * x) / y) \ x),x) = K(x \ 1,x). [hyper(255,a,2258,a(flip),b,3004,a(flip))]. 3008 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2910(a,1),2951(a,1,2)),flip(a)]. 3009 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(255,a,35,a,b,3008,a)]. 3011 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,(z \ 1) \ 1)) = R(x,y,1 / (z \ 1)). [para(128(a,2),3009(a,1,2,2))]. 3012 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). [para(1451(a,1),3011(a,1,3))]. 3013 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). [para(70(a,1),3012(a,2,3))]. 3014 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2605(a,1),1641(a,1,2,2,2)),flip(a)]. 3015 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2950(a,1),3014(a,1,1)),flip(a)]. 3017 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2030(a,1),2160(a,1,2))]. 3018 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(710,a,3017,a),flip(a)]. 3019 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(255,a,2687,a(flip),b,3018,a(flip)),flip(a)]. 3020 K(x,y / (x * y)) = K(x,x \ 1). [hyper(255,a,2383,a(flip),b,3019,a(flip))]. 3022 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(255,a,2957,a,b,3020,a(flip)),flip(a)]. 3023 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(21(a,1),3020(a,1,2,2)),flip(a)]. 3024 K((x / y) \ 1,x / y) = K(y / x,(y / x) \ 1). [hyper(255,a,2955,a,b,3023,a),flip(a)]. 3026 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(3022(a,1),2384(a,1,1))]. 3027 K(x \ 1,x) * (T(x,x \ 1) * y) = x * y. [hyper(2921,a,3026,a)]. 3028 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2253,a,3026,a)]. 3029 T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. [hyper(533,a,3026,a)]. 3030 L(x,y,K(y,y \ 1)) = x. [hyper(1467,a,3026,a(flip))]. 3031 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(255,a,1823,a(flip),b,3026,a(flip)),flip(a)]. 3032 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(81,a,3026,a(flip),b,1823,a(flip))]. 3035 L(x,K(y,y \ 1),y) = x. [hyper(255,a,1830,a,b,3030,a(flip)),flip(a)]. 3036 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(255,a,2751,a(flip),b,3030,a(flip)),flip(a)]. 3037 L(x,K(y,y \ 1),1 / (1 / y)) = x. [hyper(255,a,1899,a(flip),b,3030,a(flip)),flip(a)]. 3038 L(x,K(y \ 1,y),1 / y) = x. [hyper(255,a,1832,a(flip),b,3030,a(flip)),flip(a)]. 3039 L(x,1 / y,K(1 / y,y)) = x. [para(73(a,1),3030(a,1,3,2))]. 3040 L(x,1 / y,K(y \ 1,y)) = x. [para(1529(a,1),3030(a,1,3))]. 3042 x * (((x \ 1) \ 1) \ y) = K(x,x \ 1) \ y. [hyper(255,a,1796,a(flip),b,3035,a(flip)),flip(a)]. 3043 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(2559,a,3038,a)]. 3044 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(2558,a,3038,a)]. 3046 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(80,a,3038,a(flip),b,2555,a(flip))]. 3047 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(3038(a,1),696(a,1,2)),flip(a)]. 3048 L(x,y,y \ 1) != z | (1 / y) * (y * x) = z. [para(3038(a,1),2559(a,1))]. 3049 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1534(a,1),3039(a,1,3))]. 3050 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(255,a,2098,a(flip),b,3040,a(flip)),flip(a)]. 3051 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(3040(a,1),1487(a,1,2)),flip(a)]. 3052 L(x \ y,x,x \ 1) = (1 / x) * y. [para(3040(a,1),1994(a,1,1,2))]. 3053 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [hyper(651,a,3044,a),flip(a)]. 3055 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(70(a,1),3044(a,1,3)),flip(a)]. 3056 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(3044(a,1),689(a,2,1))]. 3058 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [para(3037(a,1),1469(a,1,2)),flip(a)]. 3060 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(190(a,1),3043(a,1,2)),flip(a)]. 3061 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(3043(a,1),268(a,1,1))]. 3062 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(3043(a,1),2969(a,1,1,1,1))]. 3063 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(3049(a,1),1507(a,1,2)),flip(a)]. 3064 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [hyper(255,a,140,a(flip),b,3052,a)]. 3065 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(3052(a,1),2620(a,1,2))]. 3067 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(1408,a,3027,a),flip(a)]. 3068 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [para(128(a,1),3027(a,1,2,1))]. 3069 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(255,a,273,a(flip),b,3028,a)]. 3070 x * (y * K(x,x \ 1)) = T(x,x \ 1) * y. [hyper(255,a,2599,a(flip),b,3028,a(flip)),flip(a)]. 3072 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2924(a,1),3029(a,1,2)),flip(a)]. 3074 R(x,K(x,x \ 1),y) = x. [hyper(1528,a,3032,a)]. 3075 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1529(a,1),3074(a,1,2))]. 3076 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(3075(a,1),2670(a,1,1)),flip(a)]. 3077 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [hyper(2930,a,3036,a)]. 3078 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(2921,a,3036,a)]. 3080 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(3036(a,1),2906(a,1,1)),flip(a)]. 3082 x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x). [hyper(255,a,2929,a(flip),b,3042,a)]. 3083 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(80,a,2919,a(flip),b,3042,a)]. 3084 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [hyper(255,a,2281,a(flip),b,3047,a(flip)),flip(a)]. 3086 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). [para(2833(a,1),3047(a,1,2))]. 3087 (x \ 1) * (y * T(x,x \ 1)) = (1 / x) * (y * x). [para(2878(a,1),3047(a,1,2)),flip(a)]. 3088 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2918(a,1),3047(a,1,2)),flip(a)]. 3090 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2938,a,3050,a)]. 3091 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(2931,a,3050,a)]. 3092 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(2267,a,3050,a)]. 3094 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(3050(a,1),2096(a,1,2))]. 3096 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2938,a,3051,a)]. 3097 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(2931,a,3051,a)]. 3098 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(2267,a,3051,a)]. 3099 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(3051(a,1),35(a,2,2)),flip(a)]. 3100 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(3051(a,1),484(a,1,1))]. 3101 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(3051(a,1),424(a,1,1))]. 3103 ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. [para(3051(a,1),2876(a,1,1))]. 3104 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(80,a,19,a(flip),b,3058,a),flip(a)]. 3105 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [para(2916(a,1),3058(a,1,2)),flip(a)]. 3106 x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. [para(2924(a,1),3058(a,1,2)),flip(a)]. 3107 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(2930,a,3063,a)]. 3108 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(263(a,1),3063(a,1,2))]. 3109 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(255,a,273,a(flip),b,3067,a(flip)),flip(a)]. 3110 (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). [para(3067(a,1),598(a,1,1))]. 3111 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x. [para(3068(a,1),2266(a,1)),flip(a),flip(b)]. 3112 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(22,a,2987,a,b,3069,a),flip(a)]. 3113 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [hyper(255,a,2599,a(flip),b,3069,a(flip)),flip(a)]. 3116 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(255,a,2972,a,b,3112,a(flip)),flip(a)]. 3120 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(80,a,3116,a(flip),b,1448,a(flip))]. 3123 (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). [para(3116(a,1),2910(a,1,2))]. 3124 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(3116(a,1),3000(a,1,2))]. 3125 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1460,a,3120,a)]. 3126 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(255,a,2246,a(flip),b,3120,a(flip)),flip(a)]. 3127 (1 / T(x,y)) * x = T(x,y) \ x. [para(3126(a,1),21(a,1,1))]. 3128 x / T(x,y) = T(x,y) \ x. [hyper(1350,a,3127,a)]. 3129 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(172,a,3127,a,b,1083,a)]. 3132 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(255,a,2020,a,b,3128,a(flip)),flip(a)]. 3133 (T(x,y) \ x) * T(x,y) = x. [para(3128(a,1),21(a,1,1))]. 3134 (T(x,y) \ x) \ x = T(x,y). [para(3128(a,1),73(a,1,1))]. 3135 L(x,T(x,y) \ x,x) = x. [hyper(255,a,2452,a,b,3133,a(flip)),flip(a)]. 3137 (x * y) * T(K(y,x),x) = y * x. [para(3135(a,1),2451(a,1,2)),flip(a)]. 3138 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(255,a,2291,a,b,3129,a(flip)),flip(a)]. 3139 T(K(x,y),y) = K(x,y). [hyper(265,a,3137,a),flip(a)]. 3140 T(x,K(y,x)) = x. [hyper(40,a,3139,a)]. 3141 K(x,y) * y = y * K(x,y). [para(3139(a,1),127(a,1,2)),flip(a)]. 3142 (x * K(y,x)) / x = K(y,x). [para(3139(a,1),167(a,1,1,2))]. 3143 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(3139(a,1),183(a,1,2,1)),flip(a)]. 3144 T(T(x,y),K(z,x)) = T(x,y). [para(3140(a,1),43(a,1,1)),flip(a)]. 3145 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(3140(a,1),183(a,1,2,1)),flip(a)]. 3146 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(3140(a,1),184(a,1,2,1)),flip(a)]. 3147 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(3140(a,1),361(a,1,2,1))]. 3148 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(3140(a,1),395(a,1,2,1,1)),flip(a)]. 3149 R(T(x,y),z,u) * K(w,x) = K(w,x) * R(T(x,y),z,u). [para(3140(a,1),576(a,1,2,1,1)),flip(a)]. 3150 T(x,y * T(y \ 1,x)) = x. [para(1200(a,1),3140(a,1,2))]. 3151 T(x,y \ T(y,x)) = x. [para(1204(a,1),3140(a,1,2))]. 3152 T(x,x \ ((y * x) / y)) = x. [para(1575(a,1),3140(a,1,2))]. 3153 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(3140(a,1),2645(a,1,1,1)),flip(a)]. 3154 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(3151(a,1),127(a,1,2))]. 3155 (x \ T(x,y)) * T(y,z) != u | T(y,z) * (x \ T(x,y)) = u. [para(3151(a,1),361(a,1,2,1))]. 3156 (x * K(y,x)) * L(z,x,K(y,x)) = K(y,x) * (x * z). [para(3141(a,1),112(a,1,1))]. 3157 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(3141(a,1),122(a,1,2))]. 3159 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(3141(a,1),454(a,2,2))]. 3160 ((x * K(y,z)) * z) / (z * K(y,z)) != u | R(x,K(y,z),z) = u. [para(3141(a,1),466(a,1,2))]. 3161 L(K(x,y),y,1 / y) = K(x,y). [hyper(255,a,2577,a,b,3142,a(flip)),flip(a)]. 3162 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(255,a,1376,a,b,3142,a(flip)),flip(a)]. 3163 R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). [para(3142(a,1),450(a,1,1,1))]. 3164 T(K(x,y),T(y,z)) = K(x,y). [hyper(40,a,3144,a)]. 3165 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(3144(a,1),361(a,1,2,1))]. 3166 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(40,a,3150,a)]. 3167 ((x * y) / x) / y = y \ ((x * y) / x). [para(3152(a,1),199(a,1,2))]. 3168 K(K(x,y),T(y,z)) = 1. [hyper(41,a,3164,a)]. 3169 K(x \ T(x,y),T(y,z)) = 1. [para(1204(a,1),3168(a,1,1))]. 3170 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(42,a,3169,a)]. 3171 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(366,a,3161,a)]. 3172 (1 / x) \ K(y,x) = x * K(y,x). [hyper(80,a,3161,a(flip),b,192,a)]. 3174 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(80,a,3171,a(flip),b,140,a(flip)),flip(a)]. 3175 K(x \ 1,x) * K(y,x) = (x \ 1) * (x * K(y,x)). [para(3171(a,1),3051(a,1,2))]. 3177 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [para(3138(a,1),21(a,1,1))]. 3178 x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x). [para(3154(a,1),1101(a,1,2,2))]. 3179 x * (((y * x) / y) / x) = (y * x) / y. [para(3167(a,2),19(a,1,2))]. 3180 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(787(a,1),3167(a,1,1)),flip(a)]. 3181 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(315,a,3177,a)]. 3182 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [para(3177(a,1),687(a,1,2))]. 3184 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1624(a,1),3179(a,1,2))]. 3186 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [hyper(255,a,2803,a,b,3181,a(flip)),flip(a)]. 3187 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(255,a,3003,a(flip),b,3181,a(flip))]. 3188 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3181(a,1),2234(a,1,2))]. 3189 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(3181(a,1),2915(a,1,1))]. 3190 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3181(a,1),2963(a,2,2))]. 3191 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(3181(a,1),3001(a,1,1))]. 3192 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [para(564(a,1),3070(a,2,1))]. 3193 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [para(18(a,1),3077(a,1,1)),flip(a)]. 3194 (x \ y) * K(x \ 1,(x \ 1) \ 1) = ((x \ 1) \ 1) \ y. [para(1451(a,2),3077(a,1,2))]. 3195 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(255,a,956,a(flip),b,3078,a(flip)),flip(a)]. 3196 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(3078(a,1),2267(a,1))]. 3197 K(x \ 1,x) * (T(x,y) \ z) = ((T(x,y) \ 1) \ 1) \ z. [para(3181(a,1),3078(a,1,1))]. 3198 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) \ x = z. [para(3082(a,1),24(a,1))]. 3199 L(x,((y \ 1) \ 1) \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(383(a,1),3082(a,1,2)),flip(a)]. 3200 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1524(a,1),3083(a,1,2,1))]. 3201 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [para(3050(a,1),3083(a,1,2)),flip(a)]. 3202 T((x \ 1) * y,K(z \ 1,z)) = (1 / x) * (y * K(x \ 1,x)). [hyper(255,a,2256,a,b,3084,a),flip(a)]. 3203 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(2015,a,3088,a),flip(a)]. 3204 L(K(x,x \ 1) * y,x \ 1,x) = x * ((1 / x) * y). [para(3088(a,1),190(a,1,2)),flip(a)]. 3205 ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). [hyper(255,a,3172,a(flip),b,3092,a)]. 3206 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(255,a,2263,a(flip),b,3094,a)]. 3207 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1334(a,1),3094(a,1,2)),flip(a)]. 3208 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(1828,a,3096,a)]. 3209 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(3096(a,1),143(a,1,1,2))]. 3210 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3096(a,1),431(a,1,2,2))]. 3211 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1016,a,3208,a)]. 3212 L(x,T(y,y \ z) \ 1,T(y,y \ z)) = L(x,1 / T(y,y \ z),(y \ z) \ z). [hyper(255,a,1978,a(flip),b,3211,a(flip))]. 3213 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(70(a,1),3211(a,1,2)),flip(a)]. 3214 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,1 / T(y,y \ z),(y \ z) \ z). [para(601(a,2),3211(a,1,2)),flip(a)]. 3215 ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). [hyper(81,a,3097,a(flip),b,2942,a)]. 3216 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [hyper(2921,a,3104,a)]. 3217 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(3104(a,1),2906(a,1,1))]. 3218 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(1409,a,3105,a),flip(a)]. 3219 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(3181(a,1),3105(a,1,2,1))]. 3220 (1 / (1 / x)) * (y / (1 / (1 / x))) = x * (y / x). [para(2927(a,1),3106(a,1,2)),flip(a)]. 3221 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2789(a,1),3107(a,1,2))]. 3222 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(3107(a,1),2831(a,1,1))]. 3223 T(x,L(K(y,x),z,u)) = x. [hyper(173,a,3143,a)]. 3225 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(3146(a,1),24(a,1)),flip(a)]. 3227 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(3166(a,1),1413(a,1,2)),flip(a)]. 3228 (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). [hyper(2770,a,3174,a)]. 3229 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(3182(a,2),1083(a,1,2))]. 3232 x * (T(x,y) / x) = T(x,y). [hyper(23,a,2023,a,b,3188,a),flip(a)]. 3234 T(x,y) / x = x \ T(x,y). [hyper(87,a,3232,a),flip(a)]. 3236 (x \ T(x,y)) * x = T(x,y). [para(3232(a,1),75(a,1,1,2))]. 3237 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(1862,a,3234,a),flip(a)]. 3238 (1 / x) * T(x,y) = x \ T(x,y). [hyper(1371,a,3234,a)]. 3239 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(943,a,3234,a)]. 3240 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(874,a,3234,a),flip(a)]. 3241 (x \ T(x,y)) * x != z | T(x,y) = z. [para(3234(a,1),226(a,1,1)),flip(b)]. 3242 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(3234(a,1),123(a,1,1))]. 3243 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(3234(a,1),474(a,1,1))]. 3246 (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. [para(3234(a,1),2204(a,1,1))]. 3247 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3234(a,1),2586(a,1,1,2))]. 3248 T(x,x \ T(x,y)) = x. [hyper(286,a,3236,a)]. 3249 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(255,a,1597,a,b,3236,a(flip)),flip(a)]. 3250 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3236(a,1),33(a,2,1)),flip(a)]. 3251 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(128(a,1),3236(a,1,1,2))]. 3252 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(3236(a,1),112(a,1,1))]. 3253 R(x,y \ T(y,z),y) * T(y,z) = (x * (y \ T(y,z))) * y. [para(3236(a,1),122(a,1,2))]. 3254 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(3236(a,1),466(a,1,1,1))]. 3255 T(x,y) = K(y \ (y / (x \ 1)),y) * x. [para(1204(a,2),3236(a,1,1)),flip(a)]. 3256 L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). [para(3236(a,1),864(a,1,1)),flip(a)]. 3257 K(x,x \ T(x,y)) = 1. [hyper(41,a,3248,a)]. 3258 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1204(a,2),3248(a,1,2))]. 3259 K(x,T(x,y) / x) = 1. [para(3234(a,2),3257(a,1,2))]. 3260 T(1 / x,T(x,y)) = x \ 1. [hyper(80,a,3259,a(flip),b,1135,a),flip(a)]. 3261 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(255,a,73,a(flip),b,3260,a)]. 3262 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(255,a,1863,a(flip),b,3260,a(flip)),flip(a)]. 3263 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3260(a,1),185(a,1,1)),flip(a)]. 3264 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3260(a,1),352(a,2,1))]. 3265 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3260(a,1),1206(a,1,1)),flip(a)]. 3266 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(255,a,1289,a(flip),b,3258,a(flip)),flip(a)]. 3267 T(x,T(1 / x,y)) = T(x,x \ 1). [para(3261(a,1),1440(a,1,1)),flip(a)]. 3271 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3267(a,1),1898(a,1,1))]. 3273 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,K(x \ (x / (y \ 1)),x) * y). [para(3255(a,2),566(a,1,2,2))]. 3275 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(3266(a,1),19(a,1,2))]. 3276 x / ((y * x) / y) = ((y * x) / y) \ x. [para(3266(a,1),70(a,1,2))]. 3277 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1159(a,1),3266(a,1,1,1,1))]. 3279 (((x * y) / x) \ y) / y = 1 / ((x * y) / x). [hyper(81,a,3276,a(flip),b,1628,a)]. 3280 T(x,x / (y * x)) = T(x,x / (x * y)). [para(163(a,1),3249(a,1,2))]. 3283 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(167(a,1),3262(a,1,3,2))]. 3284 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2396(a,1),3195(a,1,2))]. 3285 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(447,a,3213,a),flip(a)]. 3286 K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). [para(2746(a,1),3216(a,1,2))]. 3287 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(255,a,2915,a(flip),b,3218,a)]. 3289 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3240(a,1),666(a,2,1)),flip(a)]. 3290 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(3240(a,1),2709(a,1,1))]. 3292 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3263(a,1),3265(a,1,2)),flip(a)]. 3293 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(255,a,289,a(flip),b,3292,a)]. 3296 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3293(a,1),1015(a,1,1,2))]. 3297 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(3056(a,1),3275(a,1,1,1,1))]. 3298 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3237(a,1),2708(a,1,2)),flip(a)]. 3299 T(x,y \ ((x * y) / x)) = x. [para(3237(a,1),3248(a,1,2))]. 3300 T(x,T(y,x) \ y) = x. [para(167(a,1),3299(a,1,2,2))]. 3301 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(3300(a,1),127(a,1,2))]. 3303 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(255,a,1861,a,b,3301,a(flip)),flip(a)]. 3304 x \ ((x * (T(y,x) \ y)) \ x) = ((T(y,x) \ y) * x) \ 1. [para(3301(a,1),2002(a,1,2,1))]. 3305 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3301(a,1),2162(a,1,1,2,1))]. 3306 L(x,x \ T(x,y),x) = x. [hyper(255,a,70,a(flip),b,3256,a)]. 3308 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(3193(a,1),3285(a,1,1))]. 3309 K(1 / x,y) = K(x \ 1,y). [hyper(255,a,2850,a(flip),b,3289,a(flip)),flip(a)]. 3310 K(1 / (1 / x),y) = K(x,y). [hyper(255,a,616,a(flip),b,3309,a)]. 3311 K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [hyper(255,a,1002,a(flip),b,3309,a(flip))]. 3312 K((x \ 1) \ 1,y) = K(x,y). [para(70(a,1),3309(a,1,1)),flip(a)]. 3314 K(T(1 / x,y) \ 1,z) = K(T(x \ 1,y) \ 1,z). [para(2226(a,1),3309(a,1,1))]. 3315 T(K(x,y),x) = K(x,y). [para(3310(a,1),2976(a,1,1))]. 3316 T(x,K(x,y)) = x. [hyper(40,a,3315,a)]. 3317 K(T(x,x \ 1),y) = K(x,y). [hyper(255,a,2981,a,b,3315,a(flip)),flip(a)]. 3318 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(255,a,2677,a,b,3315,a(flip)),flip(a)]. 3319 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3315(a,1),184(a,1,2,1)),flip(a)]. 3321 T(T(x,y),K(x,z)) = T(x,y). [para(3316(a,1),43(a,1,1)),flip(a)]. 3322 K(x,y) * x != z | x * K(x,y) = z. [para(3316(a,1),225(a,1,2))]. 3323 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3316(a,1),182(a,1,2,1)),flip(a)]. 3324 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3316(a,1),183(a,1,2,1)),flip(a)]. 3325 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3316(a,1),184(a,1,2,1)),flip(a)]. 3326 T((x * y) / x,K(y,z)) = (x * y) / x. [para(3316(a,1),404(a,1,1,2)),flip(a)]. 3327 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(3316(a,1),362(a,1,2,1))]. 3330 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(2969(a,1),3312(a,1,1)),flip(a)]. 3332 T(K(x,y),T(x,z)) = K(x,y). [hyper(40,a,3321,a)]. 3335 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3332(a,1),225(a,1,2))]. 3336 T(K(x,y),(z * x) / z) = K(x,y). [hyper(40,a,3326,a)]. 3337 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(747,a,3319,a),flip(a)]. 3338 T(x,R(K(x,y),z,u)) = x. [hyper(173,a,3319,a)]. 3339 K(x,R(K(x,y),z,u)) = 1. [hyper(41,a,3338,a)]. 3340 R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). [para(3338(a,1),183(a,1,2,1))]. 3341 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(173,a,3325,a)]. 3342 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(255,a,3187,a(flip),b,3024,a(flip))]. 3343 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(255,a,3186,a(flip),b,3342,a)]. 3344 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(3342(a,2),2791(a,1,2))]. 3345 T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). [hyper(255,a,2256,a,b,3086,a),flip(a)]. 3347 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [hyper(81,a,2572,a(flip),b,3103,a(flip)),flip(a)]. 3348 T(x \ 1,T(x,y) \ x) = x \ 1. [para(3132(a,1),2341(a,1,2))]. 3349 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3132(a,1),2817(a,1,1,2)),flip(a)]. 3350 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(40,a,3348,a)]. 3351 (T(x,y) \ x) * (x \ 1) = (x \ 1) * (T(x,y) \ x). [para(3348(a,1),127(a,1,2))]. 3352 (K(x,y) \ y) * K(x,y) = y. [hyper(22,a,104,a(flip),b,3153,a)]. 3353 x / K(y,x) = K(y,x) \ x. [hyper(96,a,3352,a)]. 3355 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(23,a,2891,a,b,3222,a)]. 3356 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(263(a,1),3222(a,1,1)),flip(a)]. 3357 L(x,y,z) * (T(x,u) * T(T(x,u) \ 1,L(x,y,z))) = T(x,u) * ((T(x,u) \ 1) * L(x,y,z)). [para(2681(a,1),3227(a,1,2,1)),flip(a)]. 3358 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(2630,a,3229,a)]. 3359 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(255,a,273,a(flip),b,3271,a(flip)),flip(a)]. 3360 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(22,a,3031,a,b,3271,a(flip)),flip(a)]. 3361 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3271(a,1),599(a,1,1))]. 3363 (x \ y) * K(x \ 1,x) = y * (((y \ (x \ y)) \ 1) \ 1). [hyper(255,a,3077,a,b,3284,a),flip(a)]. 3364 (((x \ 1) \ 1) \ y) / y = (((x \ y) / y) \ 1) \ 1. [hyper(81,a,3284,a(flip),b,2238,a)]. 3365 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(73(a,1),3284(a,1,2,1,1,2)),flip(a)]. 3366 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(149(a,1),3284(a,1,2,1,1,2))]. 3367 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(37(a,2),3287(a,1,2))]. 3368 T(x,1 / (1 / y)) = T(x,y). [hyper(358,a,3367,a),flip(a)]. 3370 T(x,1 / y) = T(x,y \ 1). [para(70(a,1),3368(a,1,2,2))]. 3371 T(x,(y \ 1) \ 1) = T(x,y). [para(145(a,1),3368(a,1,2)),flip(a)]. 3373 T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). [hyper(255,a,715,a(flip),b,3370,a(flip))]. 3376 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). [para(3371(a,1),127(a,1,2))]. 3377 T(x,T(y,y \ 1)) = T(x,y). [para(128(a,2),3371(a,1,2))]. 3378 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(1248(a,2),3371(a,1,2))]. 3385 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(3377(a,1),127(a,1,2))]. 3386 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [para(3377(a,1),595(a,1,2))]. 3388 (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(3386(a,2),499(a,2,1))]. 3389 T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(3203(a,1),3373(a,1,1,1))]. 3390 T(x \ 1,y) \ (x \ 1) = x \ (T(1 / x,y) \ 1). [hyper(255,a,2717,a(flip),b,3290,a(flip))]. 3391 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1062(a,2),3290(a,1,1)),flip(a)]. 3392 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1555(a,1),3290(a,1,1)),flip(a)]. 3393 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(3343(a,1),1456(a,1,1))]. 3394 (T(x,y) \ x) * (x \ 1) = T(x,y) \ 1. [hyper(255,a,2704,a(flip),b,3351,a)]. 3395 T(1 / (1 / x),y / (y * x)) = x. [hyper(172,a,3355,a,b,xx)]. 3397 T(1 / (1 / x),(y / x) / y) = x. [para(21(a,1),3395(a,1,2,2))]. 3398 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(3397(a,1),168(a,1,2,2))]. 3399 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(3358(a,1),3084(a,1,2)),flip(a)]. 3400 ((((1 / x) \ y) / y) \ 1) \ 1 = ((x \ 1) \ y) / y. [para(73(a,1),3364(a,1,1,1,1)),flip(a)]. 3401 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(3365(a,1),70(a,1,2))]. 3402 (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. [para(2104(a,2),3398(a,1,2))]. 3403 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(18(a,1),3401(a,1,2,2,1,1))]. 3404 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2238(a,2),3401(a,1,2))]. 3405 T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). [hyper(255,a,2529,a,b,3403,a),flip(a)]. 3406 x / (x * T(y,y \ 1)) = T(x / (x * y),y). [para(128(a,2),3405(a,2,2,2)),flip(a)]. 3407 T(x / (x * y),y) \ x = x * T(y,y \ 1). [para(3406(a,1),73(a,1,1))]. 3408 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [para(20(a,1),3404(a,1,2,1,1,1))]. 3409 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [hyper(3111,a,3205,a)]. 3410 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(255,a,3113,a,b,3409,a(flip)),flip(a)]. 3412 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(255,a,2720,a(flip),b,3298,a)]. 3413 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(80,a,3412,a(flip),b,1083,a),flip(a)]. 3414 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(167(a,1),3412(a,2,1))]. 3415 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(3206(a,2),3308(a,1,1))]. 3416 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(3413(a,1),2241(a,1,2))]. 3417 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(167(a,1),3416(a,1,2,2,1))]. 3418 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(954(a,1),3417(a,1,2,2,2))]. 3419 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. [hyper(81,a,3414,a(flip),b,3127,a),flip(a)]. 3420 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3303(a,1),3414(a,1,1))]. 3421 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(3420(a,1),70(a,1,2))]. 3422 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(954(a,1),3421(a,1,2,2))]. 3423 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3060(a,2),2324(a,1,1))]. 3424 (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). [para(1111(a,1),3123(a,1,1))]. 3425 (R(T(x,y),z,u) * K(w,x)) * v5 = (K(w,x) * R(T(x,y),z,u)) * v5. [hyper(27,a,3149,a)]. 3427 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2230(a,1),3189(a,2,2))]. 3429 K(x \ 1,x) * (T(x,y) \ z) = T((x \ 1) \ 1,y) \ z. [para(2228(a,1),3197(a,2,1))]. 3430 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(2230(a,1),3219(a,2,1))]. 3431 x \ ((x * (T(y,x) \ y)) \ x) = (x * (T(y,x) \ y)) \ 1. [para(3301(a,1),3304(a,2,1))]. 3433 K(((x \ y) \ y) \ 1,(x \ y) \ y) = K(x \ 1,x). [hyper(22,a,2511,a,b,3363,a),flip(a)]. 3434 K(x \ 1,x) * (y * T((x \ z) \ z,u)) = y * (1 / (1 / T((x \ z) \ z,u))). [para(3433(a,1),3189(a,1,1))]. 3435 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(255,a,2917,a(flip),b,3393,a(flip)),flip(a)]. 3436 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(255,a,3408,a,b,3435,a)]. 3437 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(122(a,1),3435(a,2,1,1,2))]. 3438 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(3435(a,2),3371(a,1,2))]. 3439 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(255,a,160,a,b,3436,a),flip(a)]. 3440 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [para(3436(a,2),73(a,1,1))]. 3443 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(255,a,3280,a(flip),b,3438,a)]. 3444 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(163(a,2),3438(a,2,2)),flip(a)]. 3446 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(73(a,1),3440(a,1,1,1))]. 3447 (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). [hyper(255,a,1595,a,b,3444,a(flip)),flip(a)]. 3448 R(x,1 / x,y) \ y = (x \ 1) * y. [para(73(a,1),3446(a,2,1,1))]. 3449 R(x,1 / x,y) = y / ((x \ 1) * y). [para(3448(a,1),70(a,1,2)),flip(a)]. 3450 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(255,a,160,a,b,3449,a)]. 3451 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(3450(a,1),1496(a,1,1))]. 3452 x * ((x * (((x * y) * (x \ 1)) / (x * y))) * y) = T(x * y,R(x \ 1,x,x * y)). [hyper(255,a,2355,a(flip),b,3447,a(flip)),flip(a)]. 3453 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [para(3439(a,2),3447(a,2,2)),flip(a)]. 3454 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3399(a,1),2050(a,1,1)),flip(a)]. 3455 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(128(a,1),3427(a,1,2,2))]. 3456 (T(x,y) \ z) * K(x \ 1,x) = T((x \ 1) \ 1,y) \ z. [hyper(2267,a,3429,a)]. 3457 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(80,a,19,a(flip),b,3430,a),flip(a)]. 3458 (x * (T(y,x) \ y)) \ 1 = x \ (y \ T(y,x)). [para(3420(a,1),3431(a,1,2)),flip(a)]. 3459 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2931,a,3457,a)]. 3460 T(x,y) \ z != K(x \ 1,x) * u | T(1 / (1 / x),y) \ z = u. [para(3457(a,1),24(a,1))]. 3461 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3457(a,1),3109(a,1,2))]. 3462 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1451(a,1),3459(a,1,2))]. 3463 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(3228(a,2),19(a,1,2))]. 3464 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3250(a,1),1101(a,1,2)),flip(a)]. 3465 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(19(a,1),3464(a,1,1)),flip(a)]. 3466 L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u. [para(3464(a,2),24(a,1))]. 3467 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(255,a,2324,a,b,3252,a(flip)),flip(a)]. 3468 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. [para(3303(a,1),3419(a,1,2))]. 3469 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. [para(3240(a,1),3468(a,2,1))]. 3470 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(255,a,1496,a(flip),b,3451,a(flip))]. 3471 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(255,a,350,a(flip),b,3470,a(flip))]. 3472 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). [para(3463(a,1),1382(a,1,1)),flip(a)]. 3473 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(3471(a,2),107(a,1,2,2))]. 3474 T((x \ 1) * y,K(z \ 1,z)) = y * ((x \ 1) * (x * T(x \ 1,y))). [hyper(255,a,3015,a,b,3202,a)]. 3475 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2507(a,1),3221(a,1,2))]. 3476 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3234(a,1),3247(a,2,2,1,2))]. 3477 K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). [para(2979(a,1),3286(a,1,2))]. 3478 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(255,a,3301,a(flip),b,3305,a)]. 3479 K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). [para(3370(a,1),3311(a,2,1,1))]. 3480 T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). [hyper(23,a,3028,a,b,3424,a)]. 3481 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(255,a,381,a(flip),b,3480,a(flip)),flip(a)]. 3483 (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). [hyper(255,a,3051,a(flip),b,3477,a(flip)),flip(a)]. 3484 (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). [para(3483(a,1),1928(a,1,1))]. 3485 (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(107(a,2),3484(a,1,1,2))]. 3486 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3420(a,1),3478(a,1,1,2))]. 3487 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(22,a,3476,a(flip),b,3486,a(flip)),flip(a)]. 3488 (x * (y \ T(y,x))) * (T(y,x) \ y) = x. [para(3487(a,1),19(a,1,2))]. 3489 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). [para(3163(a,2),957(a,1,1,2))]. 3490 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(396(a,1),3243(a,2,1))]. 3491 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2948(a,1),3389(a,1,1))]. 3493 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(1912(a,1),3453(a,2,1))]. 3494 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(3127(a,1),3454(a,1,1)),flip(a)]. 3498 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. [para(3493(a,2),3322(a,1))]. 3499 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(3116(a,1),3124(a,1,2))]. 3502 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(3499(a,1),3192(a,1,2))]. 3503 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(73(a,1),3191(a,2,2))]. 3506 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(3503(a,1),3109(a,1,2))]. 3507 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3391(a,1),3283(a,1,3))]. 3508 T(x,K(y,x) \ 1) = x. [para(3391(a,1),3300(a,1,2))]. 3509 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3508(a,1),127(a,1,2))]. 3510 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3509(a,1),162(a,2,1)),flip(a)]. 3511 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(255,a,3507,a(flip),b,3510,a)]. 3513 (K(x,y) * R(T(y,z),u,w)) * v5 != R(T(y,z),u,w) * K(x,y) | 1 = v5. [para(3425(a,1),84(a,1))]. 3514 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(70(a,1),3462(a,2,1,1,2))]. 3515 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2939,a,3514,a)]. 3516 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(18(a,1),3515(a,1,2)),flip(a)]. 3517 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [para(3516(a,1),19(a,1,2))]. 3518 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2014(a,2),3517(a,1,2))]. 3519 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(3090(a,1),3517(a,1,2)),flip(a)]. 3520 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3519(a,1),1078(a,1,2))]. 3521 x \ T((y \ 1) * (x / (y \ 1)),K(z \ 1,z)) = K(1 / y,x / (y \ 1)). [para(3474(a,2),2851(a,1,2))]. 3522 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1451(a,1),3475(a,1,2))]. 3523 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2610(a,1),3100(a,1,2))]. 3524 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3523(a,1),1647(a,2,2,1,2)),flip(a)]. 3527 T(x,x \ K(y,x)) = T(x,x \ 1). [para(3318(a,1),3418(a,1,2,2))]. 3528 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(3527(a,1),199(a,1,2))]. 3529 K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. [para(3528(a,1),2868(a,1,1)),flip(a)]. 3530 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(3528(a,1),2909(a,1,1))]. 3531 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(3530(a,1),2597(a,1,2)),flip(a)]. 3532 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(3531(a,1),3410(a,1,2))]. 3533 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(80,a,3532,a(flip),b,1079,a),flip(a)]. 3534 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(1081(a,1),3533(a,1,2))]. 3535 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(73(a,1),3502(a,1,2,1,1,1))]. 3536 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(22,a,3047,a,b,3535,a),flip(a)]. 3537 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(81,a,3520,a(flip),b,3535,a(flip))]. 3538 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3536(a,1),3109(a,1,2))]. 3539 x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). [para(3345(a,1),3521(a,1,2))]. 3540 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(3437(a,1),470(a,1,1))]. 3541 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(255,a,385,a,b,3356,a),flip(a)]. 3542 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * (1 / (T(x,z) \ 1)). [para(2225(a,1),3434(a,2,2,2))]. 3543 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [para(70(a,1),3542(a,2,2))]. 3545 (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(3539(a,1),3485(a,1,1,2))]. 3546 K(x \ 1,y / (1 / x)) = K(x \ 1,y / (x \ 1)). [hyper(255,a,3484,a(flip),b,3545,a(flip))]. 3547 K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). [para(20(a,1),3546(a,1,2)),flip(a)]. 3548 K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). [para(1369(a,1),3547(a,1,2))]. 3549 K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). [para(2942(a,1),3548(a,1,2))]. 3550 K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). [para(3069(a,1),3549(a,1,2))]. 3551 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(3200(a,1),3518(a,1,2))]. 3552 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(128(a,2),3551(a,1,2,1))]. 3553 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2841(a,1),3522(a,2,1))]. 3554 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3553(a,1),2893(a,1,1))]. 3555 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(255,a,3494,a(flip),b,3349,a)]. 3556 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(3132(a,1),3555(a,1,1))]. 3557 T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). [para(1970(a,1),3452(a,1,2)),flip(a)]. 3558 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(924(a,1),3554(a,2,1,2))]. 3559 K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). [para(2876(a,1),3110(a,1,2)),flip(a)]. 3560 K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x). [hyper(255,a,31,a,b,3559,a)]. 3561 K(K(x,x \ 1) * y,x) = K(y,(x \ 1) \ 1). [para(2918(a,1),3560(a,1,1)),flip(a)]. 3562 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x). [para(3078(a,1),3560(a,1,1))]. 3563 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(787(a,1),3180(a,1,2)),flip(a)]. 3564 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(255,a,1993,a(flip),b,3563,a(flip))]. 3565 L(x,y \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(3213(a,1),3199(a,1,1))]. 3566 L(x,y \ 1,y) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(3055(a,1),3565(a,1,1))]. 3567 ((x \ 1) \ 1) \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. [hyper(3198,a,3566,a)]. 3569 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3465(a,1),3467(a,1,1))]. 3570 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(255,a,186,a(flip),b,3569,a(flip)),flip(a)]. 3571 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(18(a,1),3570(a,1,1)),flip(a)]. 3572 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(80,a,3306,a(flip),b,3571,a)]. 3573 (x \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x). [para(1100(a,1),3571(a,1,2))]. 3574 L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). [para(3125(a,1),3571(a,1,2)),flip(a)]. 3575 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1923(a,1),3572(a,1,1,2)),flip(a)]. 3576 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3237(a,1),3572(a,1,1)),flip(a)]. 3577 T(x,T(y,x)) * (y \ T(y,x)) = L(x,y \ T(y,x),y). [hyper(3155,a,3573,a)]. 3578 L(1 / x,x \ T(x,y),x) = 1 / x. [hyper(255,a,3246,a(flip),b,3574,a)]. 3580 x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). [para(3578(a,1),565(a,2,1))]. 3581 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3412(a,1),3576(a,1,2)),flip(a)]. 3582 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(167(a,1),3581(a,1,1,2)),flip(a)]. 3583 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(167(a,1),3582(a,1,2,1)),flip(a)]. 3584 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(3583(a,1),19(a,1,2))]. 3585 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(18(a,1),3575(a,2,1))]. 3587 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2722(a,1),3585(a,1,2))]. 3588 x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). [para(19(a,1),3580(a,1,2,2,2))]. 3590 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). [para(3260(a,1),3588(a,1,2,2)),flip(a)]. 3591 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). [para(1240(a,1),3590(a,2,2))]. 3593 (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). [hyper(255,a,190,a(flip),b,3591,a)]. 3594 L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). [hyper(310,a,3593,a),flip(a)]. 3596 L(x \ T(x,y),x \ 1,x) = x \ T(x,y). [hyper(255,a,3238,a(flip),b,3594,a)]. 3597 L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). [para(1923(a,1),3596(a,1,1,2))]. 3598 x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). [para(18(a,1),3597(a,1,1)),flip(a)]. 3600 L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). [para(1923(a,1),3598(a,1,2)),flip(a)]. 3601 L(K(x,y),x \ 1,x) = K(x,y). [hyper(255,a,18,a(flip),b,3600,a)]. 3604 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(80,a,3601,a(flip),b,190,a),flip(a)]. 3605 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(1286,a,3604,a)]. 3606 K(x,y) \ (x \ K(x,y)) = x \ 1. [hyper(80,a,3604,a(flip),b,1285,a)]. 3608 K(x,y) \ (x \ K(x,y)) != z | x \ 1 = z. [para(3605(a,1),222(a,1,2)),flip(b)]. 3609 K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z. [para(3605(a,1),416(a,1,2))]. 3610 K(x,y) * ((x \ 1) * z) != (x \ K(x,y)) * u | L(z,x \ 1,K(x,y)) = u. [para(3605(a,1),422(a,1,1)),flip(a)]. 3611 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(255,a,1930,a(flip),b,3472,a)]. 3612 T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(255,a,3280,a,b,3611,a(flip)),flip(a)]. 3613 R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(255,a,47,a,b,3612,a(flip)),flip(a)]. 3614 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(2382(a,1),3613(a,1,1)),flip(a)]. 3615 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(80,a,1069,a,b,3614,a)]. 3617 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(255,a,1277,a(flip),b,3615,a(flip)),flip(a)]. 3618 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(3615(a,1),2724(a,1,1)),flip(a)]. 3619 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(255,a,3463,a,b,3617,a),flip(a)]. 3620 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(2005(a,2),3619(a,1,2))]. 3621 K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. [para(3618(a,1),2685(a,1))]. 3622 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1159(a,1),3277(a,2,1))]. 3623 L(x,y,z) * (T(x,u) * T(T(x,u) \ 1,L(x,y,z))) = L(L(x,y,z),T(x,u) \ 1,T(x,u)). [hyper(255,a,190,a(flip),b,3357,a)]. 3624 L(L(x,y,z),T(x,u) \ 1,T(x,u)) = L(x,y,z) * T(x * T(x \ 1,L(x,y,z)),u). [para(1649(a,1),3623(a,1,2)),flip(a)]. 3625 L(x,y,z) * T(x * T(x \ 1,L(x,y,z)),u) = L(1 / (1 / x),y,z). [hyper(255,a,2301,a(flip),b,3624,a(flip))]. 3627 L(x,y,z) * K(x \ 1,L(x,y,z)) = L(1 / (1 / x),y,z). [para(1224(a,1),3625(a,1,2))]. 3629 x * T(x \ 1,L(x,y,z)) = K(x \ 1,L(x,y,z)). [hyper(22,a,2997,a,b,3627,a),flip(a)]. 3630 L(K(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u. [para(3629(a,1),2659(a,1,1))]. 3631 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3538(a,1),3361(a,1,2))]. 3632 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3631(a,1),431(a,1))]. 3633 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2311,a,3540,a)]. 3634 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(3075(a,1),3076(a,2,2,1,1))]. 3635 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(255,a,3239,a(flip),b,3634,a)]. 3637 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3239(a,1),3635(a,1,1))]. 3638 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3637(a,1),3296(a,1,1))]. 3639 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3293(a,1),3638(a,2,1))]. 3641 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3639(a,1),19(a,1,2))]. 3643 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(255,a,2281,a(flip),b,3641,a(flip)),flip(a)]. 3644 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(3051(a,1),3101(a,1,2)),flip(a)]. 3645 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3644(a,2),431(a,1))]. 3646 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(20(a,1),3297(a,1,1,1))]. 3648 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3646(a,1),25(a,1)),flip(a)]. 3649 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1727(a,1),2170(a,2,1))]. 3650 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(255,a,1158,a(flip),b,3649,a)]. 3652 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1158(a,1),3650(a,1,1))]. 3653 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(40,a,3652,a)]. 3654 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * K(x,(x / (y \ 1)) / x)) / ((x * y) / x). [para(2535(a,1),2642(a,2,1,2))]. 3655 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = ((x * y) / x) / ((x * y) / x). [para(1918(a,1),3654(a,2,1))]. 3656 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = 1. [hyper(255,a,67,a(flip),b,3655,a)]. 3657 K(((x * y) / x) \ y,y \ ((x * y) / x)) = 1. [hyper(2641,a,3656,a)]. 3659 1 / (((x * y) / x) \ y) = (((x * y) / x) \ y) \ 1. [hyper(80,a,3657,a(flip),b,2516,a),flip(a)]. 3660 ((((x * y) / x) \ y) \ 1) \ 1 = ((x * y) / x) \ y. [para(3659(a,1),73(a,1,1))]. 3661 (x \ ((y * x) / y)) \ 1 = ((y * x) / y) \ x. [para(2719(a,1),3660(a,1,1))]. 3662 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (y \ (y * (x * T(x \ 1,y)))) \ 1. [para(2144(a,1),3661(a,1,1,2)),flip(a)]. 3663 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (x * T(x \ 1,y)) \ 1. [para(18(a,1),3662(a,2,1))]. 3664 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = x \ (T(1 / x,y) \ 1). [hyper(255,a,2717,a(flip),b,3663,a)]. 3666 (x * (y * T(y \ 1,x))) \ x = y \ (T(1 / y,x) \ 1). [para(2144(a,1),3664(a,1,1))]. 3667 K(x \ (y \ (T(1 / y,x) \ 1)),x) = K(x \ 1,x). [para(3664(a,1),3005(a,1,1,2))]. 3668 K(x \ ((y \ 1) \ (T(y,x) \ 1)),x) = K(x \ 1,x). [para(70(a,1),3667(a,1,1,2,2,1,1))]. 3669 K(x \ (T(y,x) \ y),x) = K(x \ 1,x). [para(2705(a,1),3668(a,1,1,2))]. 3670 (x * (y * T(y \ 1,x))) \ 1 = x \ (y \ (T(1 / y,x) \ 1)). [para(3666(a,1),2565(a,1,2)),flip(a)]. 3671 x \ (((x * y) \ x) \ (T(1 / ((x * y) \ x),x) \ 1)) = (x * K(y,x)) \ 1. [para(953(a,2),3670(a,1,1,2)),flip(a)]. 3672 x \ (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = (x * K(y,x)) \ 1. [para(2718(a,1),3671(a,1,2))]. 3673 x \ (((x * y) \ (x * T(y,x))) \ 1) = (x * K(y,x)) \ 1. [para(18(a,1),3672(a,1,2,1,2,2,1))]. 3674 x \ (((x * y) \ (y * x)) \ 1) = (x * K(y,x)) \ 1. [para(127(a,1),3673(a,1,2,1,2))]. 3675 (x * K(y,x)) \ 1 = x \ (K(y,x) \ 1). [para(31(a,2),3674(a,1,2,1)),flip(a)]. 3676 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3318(a,1),3422(a,1,2)),flip(a)]. 3677 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(255,a,3353,a(flip),b,3676,a)]. 3678 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(3392(a,1),3676(a,1,2))]. 3679 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(18(a,1),3678(a,1,2,1,2,2,1))]. 3680 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(127(a,1),3679(a,1,2,1,2))]. 3681 x * (K(y,x) \ 1) = x / K(y,x). [para(31(a,2),3680(a,1,2,1))]. 3682 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(255,a,3353,a(flip),b,3681,a)]. 3683 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(80,a,3353,a(flip),b,3681,a)]. 3684 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(80,a,3682,a(flip),b,3509,a)]. 3685 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3682(a,1),24(a,1))]. 3686 x * (T(L(y \ 1,y,x) \ 1,x) \ (L(y \ 1,y,x) \ 1)) = K(y,x) \ x. [para(3391(a,2),3682(a,1,2))]. 3687 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3682(a,1),3511(a,1,1))]. 3689 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3684(a,1),925(a,1,2,1))]. 3690 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3687(a,1),19(a,1,2))]. 3691 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3690(a,1),2879(a,1,1)),flip(a)]. 3692 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(255,a,274,a(flip),b,3689,a(flip))]. 3694 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(255,a,381,a(flip),b,3692,a(flip))]. 3695 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(255,a,3694,a(flip),b,3691,a)]. 3696 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3695(a,1),2731(a,1,2,2))]. 3697 x \ ((((x * y) \ x) \ 1) \ T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3677(a,1),3458(a,1,1)),flip(a)]. 3698 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(3677(a,1),3469(a,1,2)),flip(a)]. 3699 1 / (K(x,y) \ y) = K(x,y) / y. [para(953(a,2),3698(a,1,1)),flip(a)]. 3700 (K(x,y) / y) \ 1 = K(x,y) \ y. [para(3699(a,1),73(a,1,1))]. 3701 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(533,a,3696,a),flip(a)]. 3702 K(x,(y \ 1) \ 1) = K(x,y). [hyper(255,a,598,a(flip),b,3701,a),flip(a)]. 3705 K(K(x,x \ 1) * y,x) = K(y,x). [hyper(255,a,3561,a,b,3702,a(flip)),flip(a)]. 3706 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [hyper(255,a,3562,a(flip),b,3702,a(flip))]. 3707 K(x,1 / y) = K(x,y \ 1). [para(73(a,1),3702(a,1,2,1)),flip(a)]. 3708 K(x,1 / (1 / y)) = K(x,y). [para(150(a,1),3702(a,1,2)),flip(a)]. 3710 K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). [para(2229(a,1),3702(a,1,2)),flip(a)]. 3712 ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). [para(3702(a,1),3174(a,2,2))]. 3713 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(3400(a,1),3702(a,1,2)),flip(a)]. 3718 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(3707(a,1),2573(a,2,1))]. 3722 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2592(a,2),3705(a,1,1))]. 3723 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(3201(a,1),3706(a,1,1))]. 3724 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(3096(a,1),3722(a,1,1,1))]. 3725 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(255,a,3473,a,b,3713,a(flip)),flip(a)]. 3726 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(255,a,963,a,b,3723,a(flip)),flip(a)]. 3727 x \ (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3240(a,1),3697(a,1,2))]. 3728 (K(x,y) \ y) \ 1 = y \ K(x,y). [para(953(a,2),3727(a,1,2)),flip(a)]. 3729 1 / (x \ K(y,x)) = K(y,x) \ x. [para(3728(a,1),70(a,1,2))]. 3730 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3415(a,1),3423(a,1,1))]. 3731 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3239(a,1),3524(a,2,1))]. 3732 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(112(a,1),1394(a,1,2,1,1))]. 3733 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1391,a,3732,a),flip(a)]. 3734 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(821(a,1),3733(a,2,2))]. 3735 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(422,a,3734,a),flip(a)]. 3736 L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [hyper(255,a,1155,a(flip),b,3735,a(flip))]. 3737 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1732(a,1),3736(a,1,1,2)),flip(a)]. 3738 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(255,a,2655,a(flip),b,3737,a)]. 3739 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(23,a,189,a(flip),b,3738,a)]. 3740 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(73(a,1),3739(a,1,1))]. 3741 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(1020(a,1),3740(a,1,2))]. 3742 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(3741(a,1),21(a,1,1))]. 3743 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2765,a,3742,a)]. 3744 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1868(a,1),3743(a,1,1)),flip(a)]. 3745 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(255,a,2413,a(flip),b,2416,a)]. 3746 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1242(a,1),3388(a,1,1))]. 3747 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1242(a,1),3746(a,1,2,3))]. 3748 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2983(a,1),3747(a,1,2)),flip(a)]. 3749 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(2302(a,1),3748(a,1,1)),flip(a)]. 3750 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(3386(a,1),3748(a,1,1))]. 3751 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(1242(a,1),3750(a,1,2))]. 3752 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(255,a,3378,a(flip),b,3751,a(flip))]. 3753 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(255,a,3491,a(flip),b,3752,a)]. 3754 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(255,a,2812,a(flip),b,3753,a)]. 3755 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(255,a,3754,a(flip),b,3749,a(flip)),flip(a)]. 3756 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(1242(a,1),3755(a,2,2))]. 3757 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(255,a,3378,a(flip),b,3756,a)]. 3758 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(255,a,3350,a(flip),b,3757,a)]. 3759 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(2705(a,1),3758(a,1,1))]. 3760 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(255,a,3556,a(flip),b,3759,a(flip)),flip(a)]. 3761 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(3760(a,1),841(a,1,1))]. 3762 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(255,a,443,a(flip),b,3761,a(flip))]. 3763 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(255,a,31,a,b,3762,a),flip(a)]. 3764 L(K(x,y),y \ 1,y) = K(x,y). [para(31(a,2),3763(a,2,1)),flip(a)]. 3765 (x \ 1) * K(y,x) = x \ K(y,x). [hyper(80,a,3764,a(flip),b,190,a),flip(a)]. 3766 ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(3765(a,1),35(a,2,2)),flip(a)]. 3767 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(73(a,1),3541(a,1,1,3))]. 3768 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2812(a,1),3767(a,1,1))]. 3769 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1242(a,1),2672(a,1,1,2,1))]. 3770 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1710(a,1),3769(a,1,1,2)),flip(a)]. 3772 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3385(a,1),3770(a,2,1))]. 3773 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(169(a,1),3772(a,2,1))]. 3774 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(255,a,328,a(flip),b,3773,a)]. 3777 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3774(a,1),263(a,1,2)),flip(a)]. 3778 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. [hyper(255,a,17,a(flip),b,3777,a)]. 3779 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(3778(a,1),304(a,1,1)),flip(b)]. 3780 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(112(a,1),1855(a,1,2,1,2,1))]. 3781 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(255,a,1331,a(flip),b,3780,a(flip))]. 3782 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1053(a,1),3781(a,2,2))]. 3783 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(422,a,3782,a),flip(a)]. 3784 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(19(a,1),3783(a,1,2,1)),flip(a)]. 3785 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(255,a,1448,a,b,3784,a)]. 3786 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1914(a,1),3785(a,1,1))]. 3787 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(122(a,1),1857(a,1,1,1,2,2)),flip(a)]. 3788 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(255,a,789,a(flip),b,3787,a)]. 3789 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(255,a,2409,a(flip),b,3788,a)]. 3790 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(789(a,1),3789(a,1,1))]. 3791 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1903(a,1),3790(a,2,1))]. 3792 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(23,a,122,a,b,3791,a)]. 3793 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1910,a,3792,a),flip(a)]. 3794 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(19(a,1),3792(a,1,2,1)),flip(a)]. 3795 R(K(x,(x / y) / x),z,u) = K(x,(x / R(y,z,u)) / x). [para(1909(a,2),3793(a,1,1))]. 3796 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(255,a,1448,a,b,3794,a)]. 3797 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1159(a,1),3796(a,1,1,2,1))]. 3798 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3463(a,1),3797(a,1,1))]. 3799 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(35(a,2),1879(a,2,2,1,1))]. 3800 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1902(a,1),3799(a,1,1))]. 3801 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1639(a,1),3800(a,1,1,1))]. 3802 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(466,a,3801,a),flip(a)]. 3804 R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [hyper(255,a,1164,a(flip),b,3802,a(flip))]. 3805 R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). [para(592(a,1),3802(a,2,1,2))]. 3806 R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). [hyper(1188,a,3805,a),flip(a)]. 3807 a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z). [para(16(a,1),3806(a,1,1,2,1)),flip(a)]. 3808 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1713(a,1),3804(a,1,1,2)),flip(a)]. 3809 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(23,a,2673,a(flip),b,3808,a)]. 3810 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(3779,a,3809,a)]. 3811 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(80,a,3810,a(flip),b,2561,a)]. 3812 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(73(a,1),3810(a,1,2))]. 3813 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1180(a,1),3812(a,1,1))]. 3814 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1172(a,1),3813(a,1,1)),flip(a)]. 3815 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(33(a,2),1906(a,2,2,1,1))]. 3816 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(1007(a,1),3815(a,1,2))]. 3817 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(824(a,1),3816(a,1,2,2))]. 3818 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(431,a,3817,a),flip(a)]. 3820 L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). [para(675(a,1),3818(a,2,1,2))]. 3821 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(1044(a,1),3818(a,1,2))]. 3822 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1431(a,1),3820(a,1,2))]. 3823 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(153(a,1),3822(a,2,1,2))]. 3824 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1448(a,2),3823(a,2,1))]. 3825 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(17(a,1),3821(a,1,2,2)),flip(a)]. 3826 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2650(a,1),3825(a,1,1)),flip(a)]. 3827 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(255,a,3786,a(flip),b,3826,a)]. 3828 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(22,a,1448,a(flip),b,3827,a)]. 3829 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(255,a,3744,a,b,3828,a(flip)),flip(a)]. 3830 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(3829(a,1),70(a,1,2)),flip(a)]. 3831 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(70(a,1),3829(a,1,1,1,2)),flip(a)]. 3833 L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). [para(241(a,1),3830(a,2,2,2))]. 3835 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(3831(a,1),73(a,1,1))]. 3837 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(70(a,1),3835(a,1,1,1,1)),flip(a)]. 3840 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(3833(a,1),112(a,1,2))]. 3842 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [para(18(a,1),3840(a,2,2,2,2,2,2))]. 3843 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(35(a,2),1976(a,2,2,1,1))]. 3844 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1900(a,1),3843(a,1,1))]. 3845 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1643(a,1),3844(a,1,1,1))]. 3846 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(466,a,3845,a),flip(a)]. 3847 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(675(a,1),3846(a,2,1,2))]. 3848 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1177(a,1),3846(a,1,2))]. 3849 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1313(a,1),3847(a,1,2))]. 3850 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(153(a,1),3849(a,2,1,2))]. 3851 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1448(a,2),3850(a,2,1))]. 3852 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(17(a,1),3848(a,1,2,2)),flip(a)]. 3853 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3620(a,1),3852(a,1,1)),flip(a)]. 3854 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3617(a,1),3853(a,2,1))]. 3855 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(255,a,3798,a(flip),b,3854,a)]. 3856 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(22,a,1448,a(flip),b,3855,a)]. 3857 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(255,a,3814,a,b,3856,a(flip)),flip(a)]. 3858 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(3857(a,1),70(a,1,2)),flip(a)]. 3859 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. [para(145(a,1),3857(a,1,1,1)),flip(a)]. 3860 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2230(a,1),3857(a,1,1,1))]. 3861 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(70(a,1),3858(a,1,1,2)),flip(a)]. 3862 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(3859(a,1),73(a,1,1)),flip(a)]. 3863 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(3861(a,1),3368(a,1,2))]. 3864 R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. [para(472(a,1),3862(a,2,1,1))]. 3865 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3862(a,2),2239(a,1,1))]. 3866 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2813(a,1),3862(a,2,1,1))]. 3867 T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). [para(3862(a,2),3371(a,1,2))]. 3868 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(658(a,1),3860(a,1,1)),flip(a)]. 3869 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(255,a,2838,a,b,3866,a(flip)),flip(a)]. 3870 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(230,a,3865,a),flip(a)]. 3871 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2238(a,1),3870(a,2,1))]. 3872 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(255,a,3633,a(flip),b,3871,a(flip)),flip(a)]. 3873 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(255,a,3366,a(flip),b,3871,a(flip)),flip(a)]. 3874 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(3862(a,2),3873(a,1,1))]. 3875 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. [para(3190(a,1),3874(a,2,1))]. 3876 (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(3864(a,1),3875(a,1,1))]. 3877 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3190(a,1),3872(a,2,1))]. 3878 (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(21(a,1),3876(a,1,2,1))]. 3879 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). [hyper(1245,a,3878,a),flip(a)]. 3881 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(143(a,1),2539(a,1,2,2,2,2))]. 3882 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). [hyper(255,a,3842,a(flip),b,3881,a(flip))]. 3884 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). [para(3840(a,1),3882(a,2,2))]. 3885 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). [para(60(a,1),3884(a,2,2,2,2,2,2,2))]. 3887 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). [para(70(a,1),3885(a,2,2,2,2,2))]. 3888 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). [para(1448(a,2),3887(a,2,2,2))]. 3889 (x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z. [para(3888(a,1),24(a,1)),flip(a)]. 3890 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(3255(a,2),3273(a,2,2,2))]. 3891 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(2748(a,1),1217(a,1,1,2))]. 3892 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(21(a,1),3891(a,1,1,2))]. 3894 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1161(a,1),3892(a,1,1)),flip(a)]. 3896 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3894(a,1),3622(a,1,1))]. 3897 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(80,a,3896,a(flip),b,3587,a)]. 3898 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(2771,a,3897,a),flip(a)]. 3900 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3898(a,1),2532(a,1,1))]. 3901 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(3621,a,3900,a)]. 3902 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(255,a,3564,a,b,3901,a(flip)),flip(a)]. 3903 R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(3901(a,1),2671(a,1,1))]. 3904 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(3902(a,1),19(a,1,2))]. 3905 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(255,a,3858,a(flip),b,3904,a)]. 3906 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(22,a,1483,a,b,3905,a),flip(a)]. 3907 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(364,a,3906,a)]. 3908 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3906(a,1),1458(a,1,1)),flip(a)]. 3909 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3907(a,1),315(a,1))]. 3910 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3907(a,1),3877(a,1,1))]. 3911 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(255,a,3898,a(flip),b,3908,a)]. 3912 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3910(a,1),25(a,1))]. 3913 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(3312(a,1),3910(a,1,1))]. 3914 K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). [para(3312(a,1),3903(a,1,1)),flip(a)]. 3915 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(1524(a,1),3913(a,2,1,2))]. 3917 R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). [hyper(255,a,3906,a(flip),b,3914,a(flip))]. 3918 R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). [hyper(255,a,3312,a(flip),b,3917,a)]. 3919 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(3918(a,1),122(a,1,1)),flip(a)]. 3920 L(x,y,K(z,R(z \ 1,y,x))) = x. [hyper(422,a,3919,a)]. 3921 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(23,a,3915,a(flip),b,3919,a)]. 3922 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(23,a,2247,a,b,3921,a)]. 3925 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3922(a,1),3915(a,1,1)),flip(a)]. 3926 L(x,y,K(z,z \ 1)) = x. [para(3922(a,1),3920(a,1,3))]. 3932 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [hyper(255,a,2734,a,b,3926,a(flip)),flip(a)]. 3933 (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). [hyper(255,a,2941,a(flip),b,3926,a(flip)),flip(a)]. 3934 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(255,a,114,a(flip),b,3926,a(flip)),flip(a)]. 3936 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3926(a,1),112(a,1,2))]. 3937 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3926(a,1),375(a,1,2)),flip(a)]. 3938 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3926(a,1),483(a,1,2))]. 3940 L(x,y,K(z \ 1,z)) = x. [para(1451(a,1),3926(a,1,3))]. 3941 ((x \ 1) \ 1) / (y \ x) = K(x,x \ 1) * y. [para(3926(a,1),1474(a,1,2))]. 3942 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3926(a,1),1472(a,1,2)),flip(a)]. 3943 L(x,y,K(z \ u,u \ z)) = x. [para(2502(a,1),3926(a,1,3))]. 3947 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3645,a,3940,a),flip(a)]. 3949 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y). [hyper(255,a,2735,a,b,3940,a(flip)),flip(a)]. 3950 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(255,a,2932,a(flip),b,3940,a(flip))]. 3951 a(x,1 / y,y) = a(x,y \ 1,y). [hyper(255,a,2818,a(flip),b,3940,a(flip))]. 3952 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(255,a,2406,a(flip),b,3940,a(flip))]. 3953 (x * K(y \ 1,y)) \ K(y \ 1,y) = x \ 1. [hyper(255,a,2282,a(flip),b,3940,a(flip)),flip(a)]. 3954 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(255,a,114,a(flip),b,3940,a(flip)),flip(a)]. 3955 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3940(a,1),112(a,1,2))]. 3956 K(x \ 1,x) * (1 / y) = K(x \ 1,x) / y. [para(3940(a,1),375(a,1,2)),flip(a)]. 3957 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3940(a,1),483(a,1,2))]. 3958 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3940(a,1),2283(a,1,2))]. 3960 (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). [para(3943(a,1),112(a,1,2))]. 3962 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(255,a,3061,a,b,3947,a(flip)),flip(a)]. 3963 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(70(a,1),3947(a,1,3)),flip(a)]. 3965 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [hyper(255,a,2892,a,b,3951,a(flip)),flip(a)]. 3966 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(3632,a,3963,a)]. 3968 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3937(a,1),2253(a,1))]. 3969 K(x,x \ 1) * (x / y) = ((x \ 1) \ 1) / y. [para(73(a,1),3941(a,1,2)),flip(a)]. 3971 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2253,a,3942,a)]. 3973 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(2914(a,1),3953(a,1,1)),flip(a)]. 3974 (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. [hyper(2267,a,3956,a)]. 3975 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(255,a,114,a(flip),b,3966,a(flip))]. 3976 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2253,a,3969,a)]. 3977 (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). [hyper(302,a,3971,a),flip(a)]. 3978 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(613(a,1),3971(a,1,1)),flip(a)]. 3980 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(3977(a,1),73(a,1,1))]. 3983 (x * K(y,y \ 1)) \ K(y,y \ 1) = x \ 1. [hyper(80,a,64,a(flip),b,3925,a)]. 3984 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(81,a,3925,a(flip),b,122,a)]. 3985 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [para(2911(a,1),3925(a,1,1)),flip(a)]. 3986 K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. [para(3097(a,1),3925(a,1,1)),flip(a)]. 3988 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [para(2911(a,1),3983(a,1,1)),flip(a)]. 3989 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(2912(a,1),3983(a,1,1)),flip(a)]. 3991 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [para(2924(a,1),3933(a,1,1)),flip(a)]. 3992 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2924(a,1),3934(a,1,1)),flip(a)]. 3993 (x \ y) \ (K(x,x \ 1) * z) = (((x \ 1) \ 1) \ y) \ z. [para(3036(a,1),3934(a,1,1))]. 3994 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(454,a,3936,a)]. 3996 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(255,a,3851,a,b,3994,a(flip)),flip(a)]. 3998 K(x,x \ 1) * ((1 / (1 / x)) / y) = x / y. [para(1504(a,1),3938(a,1,1)),flip(a)]. 3999 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3938(a,1),2943(a,1,1))]. 4000 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [hyper(2921,a,3998,a)]. 4001 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(199(a,1),4000(a,1,2)),flip(a)]. 4004 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(3097(a,1),3950(a,1,1)),flip(a)]. 4005 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3950(a,1),3210(a,1))]. 4006 (K(x \ 1,x) * y) \ z = y \ (z * K(x,x \ 1)). [para(2913(a,1),3954(a,1,2))]. 4008 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3955(a,1),35(a,2,1,1)),flip(a)]. 4009 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3957(a,1),129(a,1,1))]. 4010 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3912,a,3958,a)]. 4013 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3958(a,1),33(a,2,1)),flip(a)]. 4014 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3958(a,1),431(a,1,2,2))]. 4015 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3958(a,1),3099(a,1,1))]. 4016 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3909,a,4010,a)]. 4017 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(4010(a,1),1163(a,1,2))]. 4020 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(255,a,128,a,b,3991,a),flip(a)]. 4021 x * ((x * K(y \ 1,y)) \ z) = K(y,y \ 1) * z. [para(3992(a,2),19(a,1,2))]. 4024 x * ((x * K(y \ 1,R(y,z,u))) \ w) = K(y,y \ 1) * w. [para(4010(a,2),4021(a,1,2,1,2))]. 4028 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) = T(x,y / (z \ 1)). [para(2827(a,1),3949(a,1,1,2))]. 4029 a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x. [hyper(81,a,2944,a(flip),b,3986,a(flip))]. 4032 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(4004(a,1),3731(a,1,2,1)),flip(a)]. 4033 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(3207(a,1),4009(a,1,1))]. 4034 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(23,a,3098,a,b,4017,a),flip(a)]. 4036 R(x,y,z) / x = x \ R(x,y,z). [hyper(255,a,1173,a(flip),b,4034,a(flip)),flip(a)]. 4037 (x \ R(x,y,z)) * x = R(x,y,z). [para(4036(a,1),21(a,1,1))]. 4038 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(4036(a,1),480(a,1,1))]. 4039 T(x,x \ R(x,y,z)) = x. [hyper(286,a,4037,a)]. 4040 x * ((x * K(y \ 1,R(y,z,u))) \ w) != v5 * w | K(y,y \ 1) = v5. [para(4024(a,2),25(a,1))]. 4041 (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). [para(2519(a,1),3960(a,1,1))]. 4042 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(4038(a,2),2232(a,1,1,1,1))]. 4043 (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. [para(4041(a,2),159(a,1)),flip(b)]. 4044 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(255,a,2318,a(flip),b,3984,a(flip))]. 4045 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1451(a,1),4044(a,1,2)),flip(a)]. 4046 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1451(a,1),4045(a,1,3)),flip(a)]. 4047 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3955(a,1),4008(a,1,1))]. 4048 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(255,a,3957,a(flip),b,4047,a(flip)),flip(a)]. 4049 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(35(a,2),4048(a,1,2)),flip(a)]. 4050 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(255,a,2990,a(flip),b,4049,a)]. 4051 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2938,a,4049,a(flip))]. 4052 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1481(a,1),4051(a,1,2,1))]. 4053 R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). [para(2918(a,1),4051(a,1,2,1)),flip(a)]. 4054 R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). [hyper(255,a,2247,a(flip),b,4053,a)]. 4055 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3330(a,1),4032(a,2,2))]. 4056 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2878(a,1),4050(a,1,1)),flip(a)]. 4057 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(96,a,4056,a)]. 4058 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(19(a,1),4056(a,1,1,2,1)),flip(a)]. 4059 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(21(a,1),4057(a,1,1,1)),flip(a)]. 4060 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(472(a,1),4058(a,2,1,2))]. 4061 R((x \ (1 / y)) * x,y,x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(4058(a,2),1199(a,1,1))]. 4062 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2813(a,1),4058(a,2,1,2))]. 4063 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(4059(a,1),19(a,1,2)),flip(a)]. 4064 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(4063(a,2),3745(a,1,1))]. 4065 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(81,a,4060,a(flip),b,193,a)]. 4066 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(255,a,3558,a(flip),b,4062,a(flip))]. 4067 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(81,a,4062,a(flip),b,2810,a),flip(a)]. 4068 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(4062(a,1),3768(a,1,1)),flip(a)]. 4069 (x * (y \ T(y,x))) * y = y * x. [para(18(a,1),4066(a,1,1)),flip(a)]. 4070 x * (y \ T(y,x)) = (y * x) / y. [hyper(96,a,4069,a),flip(a)]. 4071 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(81,a,19,a(flip),b,4069,a),flip(a)]. 4072 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(23,a,127,a(flip),b,4069,a)]. 4073 R(x,y \ T(y,x),y) = (y * x) / T(y,x). [hyper(81,a,4069,a(flip),b,3253,a),flip(a)]. 4074 x \ ((y * x) / y) = y \ T(y,x). [hyper(87,a,4070,a)]. 4076 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(80,a,251,a(flip),b,4070,a),flip(a)]. 4077 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(80,a,167,a(flip),b,4070,a)]. 4078 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(22,a,3184,a,b,4070,a),flip(a)]. 4079 ((x * y) / x) / y = x \ T(x,y). [hyper(22,a,3179,a,b,4070,a),flip(a)]. 4080 (x \ T(x,y)) * y = (x * y) / x. [hyper(255,a,3154,a,b,4070,a(flip)),flip(a)]. 4082 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(4070(a,1),929(a,1,2))]. 4083 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(4070(a,1),2571(a,1,1))]. 4084 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(3240(a,1),4070(a,1,2)),flip(a)]. 4085 ((x * y) / x) \ y = T(x,y) \ x. [para(4070(a,1),3487(a,1,1))]. 4086 (T(x,y) \ x) * ((x * y) / x) = y. [para(4070(a,1),3584(a,1,2))]. 4087 T(x,T(y,x)) \ x = y \ T(y,x). [para(4072(a,1),3487(a,1,1)),flip(a)]. 4088 x * (T(y,T(x,y)) \ y) = T(x,y). [para(4072(a,1),3488(a,1,1))]. 4089 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(4074(a,1),438(a,1,1))]. 4090 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(4074(a,1),1859(a,1,1)),flip(a)]. 4091 x * (T(y,x) \ y) = T(x,T(y,x)). [para(4077(a,2),19(a,1,2))]. 4092 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(4077(a,2),3242(a,1,1))]. 4093 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(4079(a,1),452(a,1,1,1))]. 4094 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(4079(a,1),450(a,1,1,1))]. 4095 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((1 / (x * y)) \ T(1 / (x * y),x)) * x. [para(4029(a,2),4080(a,2,1)),flip(a)]. 4096 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(19(a,1),4085(a,1,1,1)),flip(a)]. 4097 (((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(4085(a,1),1145(a,1,1,2,2)),flip(a)]. 4098 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(4085(a,1),1605(a,1,2,2,1))]. 4099 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3648,a,4086,a)]. 4100 K(x \ (x / (y \ 1)),x) = T(x,T(y,x)) \ x. [hyper(255,a,1204,a,b,4087,a),flip(a)]. 4101 T(x,T(y,x)) * (y \ T(y,x)) = x. [para(4087(a,1),19(a,1,2))]. 4102 x * (y \ T(y,z)) != z | T(z,T(y,z)) = x. [para(4087(a,1),94(a,1,2)),flip(b)]. 4103 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(4087(a,1),3134(a,1,1))]. 4104 (x * (T(x,T(y,x)) \ x)) * y = y * x. [para(4087(a,2),4069(a,1,1,2))]. 4105 (x * y) / x = y * (T(y,T(x,y)) \ y). [para(4087(a,2),4070(a,1,2)),flip(a)]. 4106 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [hyper(255,a,3686,a(flip),b,4091,a(flip))]. 4107 L(x,y \ T(y,x),y) = x. [hyper(255,a,3577,a(flip),b,4101,a(flip)),flip(a)]. 4110 T(x,y) \ (y * (x \ T(x,y))) = x \ y. [hyper(80,a,4107,a(flip),b,3178,a),flip(a)]. 4111 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(3240(a,1),4103(a,1,1))]. 4112 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(128(a,1),4071(a,1,2,2))]. 4113 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(4083(a,1),431(a,1,1))]. 4114 T(x * (T(x,T(y,x)) \ x),y) = x. [hyper(172,a,4104,a,b,xx)]. 4116 T(x,y) \ ((x * y) / x) = x \ y. [para(4070(a,1),4110(a,1,2))]. 4117 T(x / y,T(y,x)) = y \ x. [hyper(899,a,4116,a)]. 4118 T(x,y) * (x \ y) = (x * y) / x. [para(4116(a,1),19(a,1,2))]. 4119 T(x,T(y,x * y)) = y \ (x * y). [para(20(a,1),4117(a,1,1))]. 4120 T(x / ((x * y) / x),y) = ((x * y) / x) \ x. [para(166(a,1),4117(a,1,2))]. 4121 T(x \ y,T(x,y)) = T(x \ y,x). [para(4117(a,1),185(a,1,1)),flip(a)]. 4122 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(4117(a,1),2008(a,1,1)),flip(a)]. 4123 T(x,x / (x / y)) = T(x,y). [hyper(23,a,1632,a,b,4118,a),flip(a)]. 4125 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(105(a,1),4118(a,1,2))]. 4126 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(4118(a,1),431(a,1,1))]. 4127 T(x,y) * y = x * ((x * y) / x). [para(4118(a,1),1078(a,1,2)),flip(a)]. 4128 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(4118(a,1),3162(a,1,1,1))]. 4129 T(x,x / (1 / y)) = T(x,x * y). [hyper(255,a,1637,a(flip),b,4123,a(flip)),flip(a)]. 4130 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(255,a,1000,a(flip),b,4123,a(flip)),flip(a)]. 4131 (x / y) \ T(x,y) = (x * y) / x. [hyper(80,a,4123,a(flip),b,998,a)]. 4132 T(x,x / y) = T(x,y \ x). [para(70(a,1),4123(a,1,2,2))]. 4133 T(x,(y \ x) \ x) = T(x,y). [para(145(a,1),4123(a,1,2)),flip(a)]. 4134 T(T(x,y) / (x / y),x) = x / (x / y). [para(4123(a,1),988(a,1,1,1))]. 4135 T(x,T(y,x)) * (y * x) = x * (x * y). [para(4123(a,1),1359(a,1,1))]. 4136 T(x,(y \ 1) \ x) = T(x,y * x). [hyper(1617,a,4132,a),flip(a)]. 4137 T(T(x,y \ x) / y,x) = x / y. [para(4132(a,1),988(a,1,1,1))]. 4138 T(x,T(y,y \ x)) = T(x,y). [para(128(a,2),4133(a,1,2))]. 4139 T(x,T(y,x * y)) = T(x,y). [hyper(255,a,37,a,b,4119,a)]. 4140 T(x,T(x \ y,y)) = T(x,x \ y). [para(19(a,1),4139(a,1,2,2))]. 4141 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(4121(a,1),127(a,1,2))]. 4143 x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). [para(4121(a,2),388(a,1,2,2))]. 4145 T(x,x \ y) * (x \ y) = x * (y / x). [para(19(a,1),4127(a,2,2,1))]. 4147 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(4129(a,1),1621(a,1,1))]. 4148 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(20(a,1),4131(a,1,1)),flip(a)]. 4149 T(x,(1 / y) * x) = T(x,y \ x). [para(73(a,1),4136(a,1,2,1)),flip(a)]. 4150 T(T(x * y,y) / x,x * y) = (x * y) / x. [para(18(a,1),4137(a,1,1,1,2))]. 4151 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(87,a,4112,a)]. 4154 (x * (y / x)) \ (T(x,x \ y) * ((x \ y) * z)) = L(z,x \ y,T(x,x \ y)). [para(4145(a,1),33(a,2,1)),flip(a)]. 4155 T(x,x \ y) * y = x * (x * (y / x)). [para(4145(a,1),1078(a,1,2)),flip(a)]. 4157 R(x,y \ T(y,x),y) = x. [hyper(255,a,144,a(flip),b,4073,a)]. 4159 R(T(x,y),z \ T(z,x),z) = T(x,y). [para(4157(a,1),47(a,2,1))]. 4160 (T(x,y) * (z \ T(z,x))) * z = T(x,y) * T(z,x). [para(4159(a,1),3253(a,1,1)),flip(a)]. 4161 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(167(a,1),4089(a,2,2)),flip(a)]. 4162 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(255,a,3236,a(flip),b,4090,a)]. 4163 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(3498,a,4162,a),flip(a)]. 4165 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(3439(a,1),4162(a,1,2))]. 4166 T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. [para(4162(a,1),3498(a,1))]. 4167 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [hyper(255,a,3557,a(flip),b,4165,a(flip)),flip(a)]. 4168 T(x,x / (x * y)) = T(x,y \ 1). [hyper(255,a,3443,a(flip),b,4165,a(flip)),flip(a)]. 4169 T(x,x / (y * x)) = T(x,y \ 1). [hyper(255,a,3438,a(flip),b,4165,a(flip)),flip(a)]. 4170 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2418,a,4168,a)]. 4174 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(81,a,4168,a(flip),b,2412,a)]. 4175 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(80,a,4168,a(flip),b,1916,a),flip(a)]. 4176 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(4168(a,1),2060(a,1,1,2))]. 4177 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(4168(a,1),2414(a,1,2)),flip(a)]. 4178 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(80,a,4169,a(flip),b,1063,a)]. 4179 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(128(a,2),4163(a,1,2,1))]. 4181 T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). [para(70(a,1),4174(a,2,2,1))]. 4183 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(4174(a,2),162(a,2,1))]. 4184 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(4175(a,1),3795(a,1,1))]. 4185 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(80,a,4178,a,b,4145,a)]. 4186 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(80,a,4178,a,b,xx)]. 4187 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(73(a,1),4178(a,2,2,1))]. 4188 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(350(a,2),4178(a,2,2)),flip(a)]. 4189 R(x,(y \ x) / x,x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [para(4178(a,2),124(a,1,1,1)),flip(a)]. 4192 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(4079(a,1),4128(a,1,1))]. 4193 K(T(x,y),y) = K(x,(x * y) / x). [hyper(255,a,4089,a(flip),b,4192,a(flip))]. 4194 K(T(x,x \ y),x \ y) = K(x,y / x). [para(19(a,1),4193(a,2,2,1))]. 4195 K(T(x,T(y,x)),T(y,x)) = K(x,y). [para(167(a,1),4193(a,2,2))]. 4197 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(255,a,4130,a(flip),b,4147,a)]. 4198 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(4197(a,1),184(a,1,2))]. 4199 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(4197(a,1),1068(a,1,2)),flip(a)]. 4200 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(129(a,1),4076(a,1,2))]. 4201 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(255,a,4096,a,b,4200,a(flip)),flip(a)]. 4202 x / (x / y) = y * (T(y,y \ x) \ y). [para(4201(a,2),19(a,1,2)),flip(a)]. 4203 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(18(a,1),4202(a,2,2,1,2))]. 4204 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(255,a,1189,a,b,4078,a(flip)),flip(a)]. 4205 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(255,a,3783,a(flip),b,4078,a(flip)),flip(a)]. 4207 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(4078(a,1),2356(a,2,2,1))]. 4208 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(4078(a,1),2417(a,2,2,1))]. 4209 (T(x,T(y,x)) \ x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(4100(a,1),3890(a,1,1))]. 4211 T(x \ T(x * y,y),x) = R(y,x,y). [para(4148(a,1),703(a,2,1)),flip(a)]. 4212 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(4148(a,1),714(a,1,1))]. 4213 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(4212(a,1),106(a,1,1))]. 4214 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(4177(a,1),2873(a,2,1,2))]. 4216 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(255,a,933,a(flip),b,4187,a(flip)),flip(a)]. 4217 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(23,a,397,a,b,4199,a),flip(a)]. 4218 (x / ((x * y) / x)) * y = x * (T(x,y) \ x). [hyper(255,a,1627,a(flip),b,4203,a(flip)),flip(a)]. 4219 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(255,a,1125,a(flip),b,4203,a(flip)),flip(a)]. 4221 T(x * (T(x,T(y,x)) \ x),T(y,x)) = L(R(x,y,x),y,x). [para(4105(a,1),4217(a,1,1))]. 4222 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(4148(a,1),4217(a,1,1))]. 4223 x \ (y * (T(y,x) \ y)) = T(y / ((y * x) / y),x). [hyper(172,a,4218,a,b,19,a),flip(a)]. 4225 (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). [para(4219(a,1),73(a,1,1))]. 4226 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(4219(a,1),1557(a,2,2,1,2))]. 4227 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(73(a,1),4188(a,2,2,2))]. 4228 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1138(a,1),4084(a,2,2))]. 4229 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(255,a,4143,a(flip),b,4122,a(flip))]. 4230 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(255,a,615,a(flip),b,4229,a(flip))]. 4231 K(x,T(y,y * x)) = K(x,y). [hyper(255,a,615,a(flip),b,4230,a(flip))]. 4233 K(x \ 1,T(y,x \ y)) = K(x \ 1,y). [para(1990(a,1),4231(a,1,2))]. 4234 K((x \ 1) \ 1,T(y,x * y)) = K((x \ 1) \ 1,y). [para(4136(a,1),4233(a,1,2))]. 4235 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(22,a,859,a,b,4167,a),flip(a)]. 4236 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(255,a,4175,a(flip),b,4176,a),flip(a)]. 4237 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(4179(a,2),24(a,1))]. 4239 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [hyper(255,a,4120,a(flip),b,4223,a)]. 4240 K((x \ 1) \ 1,y) = K(x,T(y,x * y)). [hyper(255,a,3312,a(flip),b,4234,a(flip))]. 4241 K(x,T(y,x * y)) = K(x,y). [hyper(255,a,3312,a(flip),b,4240,a(flip))]. 4242 K(x,T(x \ y,y)) = K(x,x \ y). [para(19(a,1),4241(a,1,2,2))]. 4243 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(255,a,3080,a(flip),b,4235,a(flip))]. 4244 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3264(a,1),4236(a,1,2,2,1)),flip(a)]. 4245 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(160(a,2),4243(a,1,2))]. 4246 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(81,a,4245,a(flip),b,774,a),flip(a)]. 4247 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(4092(a,1),840(a,1,1))]. 4248 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(255,a,4175,a(flip),b,4184,a)]. 4249 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(255,a,1401,a(flip),b,4067,a(flip)),flip(a)]. 4250 (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. [para(4125(a,1),25(a,1))]. 4251 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(4078(a,1),4205(a,1,1))]. 4252 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(4175(a,1),4207(a,1,1))]. 4253 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(3470(a,1),4227(a,1,2))]. 4254 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(4253(a,1),3725(a,1,2)),flip(a)]. 4255 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(255,a,3726,a(flip),b,4254,a),flip(a)]. 4256 ((1 / (x * y)) * x) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [hyper(255,a,3215,a,b,4228,a(flip)),flip(a)]. 4257 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(4228(a,2),24(a,1))]. 4258 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(255,a,4083,a(flip),b,4246,a(flip)),flip(a)]. 4259 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(255,a,2047,a(flip),b,4258,a(flip)),flip(a)]. 4260 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(18(a,1),4259(a,1,1,1)),flip(a)]. 4261 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(18(a,1),4260(a,1,1,1)),flip(a)]. 4262 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [para(4029(a,2),4256(a,1,1))]. 4263 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(255,a,3962,a(flip),b,4099,a(flip)),flip(a)]. 4264 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(3065(a,1),4263(a,2,1))]. 4265 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(255,a,4261,a(flip),b,4264,a(flip))]. 4266 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(4265(a,1),2710(a,1,2,1))]. 4267 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(255,a,263,a(flip),b,4055,a),flip(a)]. 4268 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(31(a,2),4247(a,2,1))]. 4269 x * ((y * x) * T((y * x) \ 1,x)) = (((x \ (1 / y)) * x) * y) * x. [hyper(230,a,4061,a),flip(a)]. 4270 x * (y * (x * T(x \ (y \ 1),x))) = (((x \ (1 / y)) * x) * y) * x. [para(832(a,1),4269(a,1,2))]. 4271 (((x \ (1 / y)) * x) * y) * x = x * (y * ((x \ (y \ 1)) * x)). [para(127(a,1),4270(a,1,2,2)),flip(a)]. 4272 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(255,a,4248,a,b,4244,a)]. 4273 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) != x * z | ((x \ (1 / y)) * x) * y = z. [para(4262(a,2),24(a,1))]. 4274 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3371(a,1),4272(a,2,1,2))]. 4275 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(16(a,1),4068(a,2,1,1,2))]. 4276 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(73(a,1),4275(a,2,2))]. 4277 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(255,a,1744,a(flip),b,4226,a(flip))]. 4278 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(127(a,1),4277(a,2,1,2))]. 4279 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(4239(a,1),4278(a,1,2,1))]. 4280 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(4085(a,1),4098(a,2,2))]. 4281 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(4033(a,2),4005(a,1))]. 4282 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2899(a,1),4214(a,1,1,1))]. 4283 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3976(a,1),4282(a,1,1,1))]. 4284 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(129(a,1),4283(a,1,1))]. 4285 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(4186(a,1),4284(a,2,1))]. 4286 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(255,a,21,a(flip),b,4285,a)]. 4287 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(23,a,2926,a(flip),b,4285,a),flip(a)]. 4290 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(4286(a,1),2831(a,1,1)),flip(a)]. 4291 K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. [para(4287(a,1),3925(a,1,1)),flip(a)]. 4292 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(4291(a,1),3088(a,1,2))]. 4293 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(4291(a,1),3204(a,1,1))]. 4294 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3958(a,1),4013(a,1,2))]. 4295 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(255,a,3957,a(flip),b,4015,a(flip)),flip(a)]. 4296 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((x * y) * T((x * y) \ 1,x)) * x. [para(663(a,1),4095(a,2,1))]. 4297 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = (((x \ (1 / y)) * x) * y) * x. [para(1138(a,1),4296(a,2,1))]. 4298 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (y * ((x \ (y \ 1)) * x)). [hyper(255,a,4271,a(flip),b,4297,a)]. 4299 ((x \ (1 / y)) * x) * y = y * ((x \ (y \ 1)) * x). [hyper(4273,a,4298,a)]. 4300 (x \ 1) * ((y \ ((x \ 1) \ 1)) * y) = ((y \ x) * y) * (x \ 1). [para(70(a,1),4299(a,1,1,1,2)),flip(a)]. 4301 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(255,a,4292,a(flip),b,4300,a(flip))]. 4302 (T(x,T(y,x)) \ x) \ (L(z,y,T(x,T(y,x)) \ x) * T(y,x)) = y * T(z,T(y,x)). [para(4100(a,1),4209(a,1,2,1,3))]. 4303 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(752,a,4294,a)]. 4304 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(255,a,3940,a(flip),b,4303,a(flip))]. 4306 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2263(a,2),4304(a,1,3))]. 4307 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(3068(a,1),4306(a,1,3)),flip(a)]. 4308 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1451(a,1),3978(a,2,2))]. 4309 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(70(a,1),4308(a,1,1))]. 4310 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(255,a,4286,a(flip),b,4309,a)]. 4311 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(564(a,1),4310(a,1,2,2,2))]. 4312 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(288(a,1),4310(a,1,2,2,2))]. 4313 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(255,a,4001,a(flip),b,4312,a(flip)),flip(a)]. 4316 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(4313(a,1),3985(a,1,2,1))]. 4317 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(255,a,3108,a(flip),b,4316,a(flip)),flip(a)]. 4318 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(4317(a,1),4276(a,1,1))]. 4319 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(255,a,4301,a(flip),b,4318,a(flip)),flip(a)]. 4320 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(4318(a,1),24(a,1))]. 4327 ((x * (y * T(y \ T(z,x),y))) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(2471(a,1),4097(a,1,1))]. 4328 ((x * ((y \ T(z,x)) * y)) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(127(a,1),4327(a,1,1,1,2))]. 4329 ((x * ((y \ T(z,x)) * y)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(4085(a,1),4328(a,1,2))]. 4330 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(230,a,4064,a),flip(a)]. 4332 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(255,a,4208,a(flip),b,4330,a(flip))]. 4333 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(4170(a,1),4332(a,1,1)),flip(a)]. 4334 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3371(a,1),4333(a,1,2,1,2)),flip(a)]. 4335 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3371(a,1),4334(a,1,1)),flip(a)]. 4336 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(18(a,1),4335(a,1,2,2)),flip(a)]. 4337 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(18(a,1),4336(a,1,2)),flip(a)]. 4338 L(x,y \ T(y,z),y) = x. [hyper(672,a,4337,a)]. 4340 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(96,a,4337,a)]. 4341 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(22,a,1078,a,b,4337,a)]. 4342 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(22,a,4155,a(flip),b,4337,a)]. 4343 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(22,a,1074,a(flip),b,4337,a)]. 4345 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(4077(a,2),4337(a,1,2,1))]. 4347 L(x,y,y \ T(y,z)) = x. [hyper(3466,a,4338,a)]. 4351 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(80,a,4338,a(flip),b,3571,a)]. 4353 L(x,T(y,T(z,y)) \ y,z) = x. [para(4087(a,2),4338(a,1,2))]. 4356 L(x,y,T(z,T(y,z)) \ z) = x. [para(4087(a,2),4347(a,1,3))]. 4357 L(x,T(y,z) \ y,(y * z) / y) = x. [para(166(a,1),4353(a,1,2,1,2))]. 4358 (T(x,T(y,x)) \ x) \ (z * T(y,x)) = y * T(z,T(y,x)). [para(4356(a,1),4302(a,1,2,1))]. 4359 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(80,a,4357,a(flip),b,4280,a),flip(a)]. 4360 R(x,x \ T(x,y),z) = x. [hyper(680,a,4340,a)]. 4361 R(x,x \ (K(y,x) \ x),z) = x. [para(4106(a,1),4360(a,1,2,2))]. 4362 R(x,K(y,x) \ 1,z) = x. [para(3683(a,1),4361(a,1,2))]. 4363 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(255,a,4252,a(flip),b,4341,a(flip))]. 4364 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(255,a,3643,a(flip),b,4341,a(flip))]. 4366 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(96,a,4343,a)]. 4367 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [hyper(87,a,4343,a)]. 4368 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(4343(a,1),222(a,1,2)),flip(b)]. 4372 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(3254,a,4366,a)]. 4373 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(4366(a,1),4268(a,1,1)),flip(a)]. 4375 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(255,a,3490,a(flip),b,4372,a(flip)),flip(a)]. 4377 (T(x,y) \ x) * (x * y) = y * x. [hyper(22,a,4135,a(flip),b,4345,a)]. 4378 K(x,y) = T(T(y,x) \ y,y * x). [hyper(172,a,4377,a,b,104,a),flip(a)]. 4379 (x * y) / (y * x) = T(y,x) \ y. [hyper(96,a,4377,a)]. 4380 T(x,y / x) \ x = y / (x * (y / x)). [hyper(81,a,21,a(flip),b,4377,a),flip(a)]. 4383 T(T(x,x \ y) \ x,y) = K(x \ y,x). [para(19(a,1),4378(a,2,2)),flip(a)]. 4384 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(21(a,1),4379(a,1,2)),flip(a)]. 4385 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(4379(a,2),2710(a,1,2,1)),flip(a)]. 4386 T(x \ (y / (y / x)),y) = K(x \ y,x). [para(4201(a,1),4383(a,1,1))]. 4387 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(255,a,4266,a(flip),b,4385,a),flip(a)]. 4388 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(2044(a,1),4387(a,1,2))]. 4389 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(4359(a,1),19(a,1,2))]. 4390 (x * (y / x)) / y = (x \ y) \ (y / x). [para(129(a,1),4384(a,1,1)),flip(a)]. 4391 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(255,a,4151,a(flip),b,4390,a)]. 4392 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(255,a,4204,a(flip),b,4391,a(flip))]. 4393 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(255,a,4094,a,b,4389,a(flip)),flip(a)]. 4394 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(19(a,1),4368(a,1,2))]. 4395 R(K(x,y),x,z) = K(x,y). [hyper(255,a,4161,a,b,4373,a)]. 4397 (K(x,y) * x) * z = K(x,y) * (x * z). [para(4395(a,1),122(a,1,1)),flip(a)]. 4398 L(x,y,K(y,z)) = x. [hyper(422,a,4397,a)]. 4406 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1291,a,4375,a),flip(a)]. 4408 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(4392(a,1),3251(a,1,1))]. 4409 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(3241,a,4408,a),flip(a)]. 4410 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(18(a,1),4409(a,1,2,2))]. 4411 T(x,(x / y) \ 1) = T(x,x \ y). [para(73(a,1),4409(a,1,2,2)),flip(a)]. 4412 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(4409(a,1),169(a,1,2))]. 4415 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4409(a,1),4201(a,1,1)),flip(a)]. 4416 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4409(a,1),4185(a,1,1))]. 4417 (x / y) \ T(x,x \ y) = x * (y / x). [para(4411(a,1),4187(a,1,2))]. 4418 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(73(a,1),4412(a,1,2,2))]. 4420 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(20(a,1),4417(a,2,2))]. 4421 ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). [para(4417(a,1),1812(a,1,1,2,1))]. 4422 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(255,a,128,a(flip),b,4410,a(flip))]. 4423 x / T(y * x,y \ 1) = (y * x) \ x. [para(4410(a,1),199(a,1,2))]. 4424 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(255,a,3371,a(flip),b,4422,a(flip)),flip(a)]. 4425 (x \ ((1 / y) \ x)) * z != (1 / y) \ x | T(x,y) = z. [para(4418(a,1),24(a,1)),flip(a)]. 4426 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(37(a,2),4420(a,1,2,2))]. 4427 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(3046(a,1),4416(a,2,2))]. 4428 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(255,a,4076,a(flip),b,4406,a(flip)),flip(a)]. 4429 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(4406(a,1),4103(a,1,1)),flip(a)]. 4430 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(255,a,4415,a(flip),b,4428,a(flip)),flip(a)]. 4431 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(255,a,1200,a,b,4430,a),flip(a)]. 4432 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(255,a,924,a(flip),b,4430,a)]. 4434 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(4430(a,2),33(a,2,1)),flip(a)]. 4436 T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). [para(4430(a,2),1646(a,1,1))]. 4437 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(4430(a,2),3227(a,2,2)),flip(a)]. 4438 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4431(a,2),3134(a,1,1))]. 4439 T(x,y) \ x = y \ T(y,x). [para(3371(a,1),4432(a,1,1))]. 4440 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(255,a,4076,a(flip),b,4439,a)]. 4441 T(x,y) * (y \ T(y,x)) = x. [para(4439(a,1),19(a,1,2))]. 4442 (x * y) / x = y * (T(y,x) \ y). [para(4439(a,2),4070(a,1,2)),flip(a)]. 4443 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4439(a,2),4337(a,1,2,1))]. 4444 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4439(a,2),4341(a,1,1)),flip(a)]. 4445 K(x,y) = T(x \ T(x,y),y * x). [para(4439(a,1),4378(a,2,1))]. 4446 T(x,T(y,x)) = T(x,y). [hyper(4102,a,4441,a)]. 4448 T(x,y) * T(y,x) = x * y. [para(4441(a,1),4160(a,1,1)),flip(a)]. 4449 T(x,y) \ (x * y) = T(y,x). [hyper(1129,a,4446,a)]. 4450 T(x,x \ y) \ y = T(x \ y,x). [hyper(1128,a,4446,a)]. 4451 R(T(x,x * y),y,x) = T(x,y). [hyper(255,a,4197,a,b,4446,a(flip)),flip(a)]. 4452 (x / T(y,x)) * y = T(x,y). [hyper(255,a,4130,a,b,4446,a(flip)),flip(a)]. 4454 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(255,a,4388,a(flip),b,4446,a(flip))]. 4455 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(255,a,278,a(flip),b,4446,a(flip))]. 4456 T(x,y) / y = x / T(y,x). [hyper(81,a,4446,a(flip),b,4130,a)]. 4457 T(x,y) / (T(y,x) \ x) = y. [hyper(81,a,4446,a(flip),b,1100,a)]. 4458 T(x,y) \ y = x \ T(y,x). [hyper(80,a,4446,a(flip),b,1100,a),flip(a)]. 4459 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(4446(a,1),43(a,1,1)),flip(a)]. 4460 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(43(a,1),4446(a,1,2))]. 4462 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(45(a,2),4446(a,1,2))]. 4463 T(x,y / x) = T(x,x \ y). [para(129(a,1),4446(a,1,2)),flip(a)]. 4465 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(4446(a,1),182(a,1,2,1))]. 4467 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(543(a,1),4446(a,1,2))]. 4468 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(4446(a,1),183(a,1,2,1))]. 4469 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4446(a,1),184(a,1,2,1))]. 4470 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(4446(a,1),361(a,1,2,1))]. 4473 T(x * (T(x,y) \ x),y) = x. [para(4446(a,1),4114(a,1,1,2,1))]. 4474 K(T(x,y),T(y,x)) = K(x,y). [para(4446(a,1),4195(a,1,1))]. 4475 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(4446(a,1),4198(a,1,2)),flip(a)]. 4476 (x / (y * x)) \ T(x,y) = x * y. [para(4446(a,1),4426(a,1,2))]. 4477 T(x,y) * (x \ T(y,x)) = y. [hyper(1099,a,4448,a)]. 4478 T(x,y) \ (y * x) = T(T(y,x),T(x,y)). [hyper(172,a,4448,a,b,19,a),flip(a)]. 4479 (x * y) / T(y,x) = T(x,y). [hyper(96,a,4448,a)]. 4481 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(4448(a,1),29(a,2,1,2)),flip(a)]. 4482 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4448(a,1),29(a,2,2,1)),flip(a)]. 4485 (x * y) * L(z,T(y,x),T(x,y)) = T(x,y) * (T(y,x) * z). [para(4448(a,1),112(a,1,1))]. 4486 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(4448(a,1),122(a,1,2))]. 4491 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). [para(43(a,1),4457(a,1,2,1))]. 4492 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(4458(a,1),101(a,1,1,2,1))]. 4493 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(4458(a,1),2325(a,1,2,1))]. 4494 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(4458(a,1),2115(a,1,2,1))]. 4496 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(255,a,721,a,b,4463,a(flip)),flip(a)]. 4497 (x * (y / x)) / T(x,x \ y) = y / x. [para(4463(a,1),144(a,1,2))]. 4498 x / T(y,x / y) = y \ x. [para(4463(a,2),199(a,1,2))]. 4501 (x * (y / x)) * x = y * T(x,x \ y). [para(4463(a,1),731(a,2,2))]. 4502 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(4463(a,1),816(a,1,2,2))]. 4503 T(x,T(y,x / y)) = T(x,y). [para(4463(a,2),4138(a,1,2))]. 4505 L(R(x,y,x),y,x) = x. [hyper(255,a,4221,a(flip),b,4473,a(flip)),flip(a)]. 4506 T(x / (x / y),y \ x) = y. [para(4202(a,2),4473(a,1,1))]. 4508 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(255,a,4222,a,b,4505,a(flip)),flip(a)]. 4509 R(L(x,y,x),y,x) = x. [hyper(255,a,49,a,b,4505,a(flip)),flip(a)]. 4510 (L(x,y,x) * y) * x = x * (y * x). [para(4505(a,1),460(a,1,1)),flip(a)]. 4511 (x * (y * x)) / x = L(x,y,x) * y. [para(4509(a,1),252(a,1,1,1))]. 4516 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(4479(a,1),894(a,1,1)),flip(a)]. 4518 x / T(y \ x,y) = (y \ x) \ x. [para(70(a,1),4498(a,1,2,2))]. 4519 T(x * y,T(y,x)) = T(x * y,y). [para(20(a,1),4503(a,1,2,2))]. 4522 T(x / (x / (x / y)),y) = x / y. [para(73(a,1),4506(a,1,2))]. 4523 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(4506(a,1),127(a,1,2)),flip(a)]. 4524 ((x \ y) * x) / (x \ y) = y / (y / x). [para(4506(a,1),167(a,1,1,2))]. 4525 R(T(x,y),x \ y,x) = T(x,x \ y). [para(19(a,1),4451(a,1,1,2))]. 4526 ((x * y) / x) \ x = y \ ((y * x) / y). [para(4442(a,2),4225(a,1,1))]. 4527 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(255,a,4236,a,b,4445,a),flip(a)]. 4528 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(255,a,4211,a(flip),b,4450,a)]. 4530 (x \ T(x,x \ y)) \ y = x * T(x \ y,x). [para(4450(a,1),4351(a,2,2))]. 4532 T(x,(1 / x) * y) = T(x,x \ y). [hyper(255,a,3065,a,b,4454,a(flip)),flip(a)]. 4533 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(4454(a,1),4267(a,2,1,2))]. 4534 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(4455(a,1),677(a,1,1))]. 4536 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(45(a,2),4459(a,1,2))]. 4537 T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). [para(4446(a,1),4460(a,1,2)),flip(a)]. 4538 T(x,y) / (x * y) = x / (y * x). [para(4476(a,1),70(a,1,2))]. 4540 (x * (y / x)) / x = y / (y / (y / x)). [para(4522(a,1),167(a,1,1,2))]. 4541 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(4522(a,1),682(a,1,1))]. 4542 x / T(y,(1 / y) * x) = y \ x. [para(4532(a,2),199(a,1,2))]. 4543 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(255,a,163,a,b,4538,a)]. 4544 T(x,x \ y) / y = x / ((x \ y) * x). [para(19(a,1),4538(a,1,2))]. 4545 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(70(a,1),4542(a,1,2,2,1))]. 4546 T(L(x,y,x) * y,x) = y * x. [hyper(172,a,4510,a,b,xx)]. 4547 x * T(y,x * y) = L(y,x,y) * x. [hyper(23,a,885,a,b,4510,a),flip(a)]. 4548 T(x,L(x,y,x) * y) = T(x,y * x). [para(4546(a,1),4446(a,1,2)),flip(a)]. 4549 T((x * y) / x,L(x,y,x)) = y. [hyper(1848,a,4511,a)]. 4550 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(80,a,4511,a,b,xx)]. 4551 (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. [para(4511(a,2),865(a,1))]. 4552 T(x,L(y,x,y)) = T(x,y). [para(4549(a,1),202(a,1,1)),flip(a)]. 4553 T(x,T(y,y * x)) = T(x,y). [hyper(255,a,4467,a,b,4552,a(flip)),flip(a)]. 4554 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(4552(a,1),127(a,1,2))]. 4556 T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). [para(4553(a,1),183(a,1,2,1))]. 4557 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(4553(a,1),184(a,1,2,1))]. 4560 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(255,a,128,a(flip),b,4525,a)]. 4561 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(611,a,4543,a)]. 4562 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R((T(x,y) / (x * y)) \ 1,z,u). [para(4543(a,1),1878(a,1,1)),flip(a)]. 4563 T(x,y * x) = T(x,x * y). [hyper(22,a,547,a,b,4547,a)]. 4564 T(x,(x \ y) * x) = T(x,y). [hyper(22,a,559,a(flip),b,4547,a)]. 4565 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(255,a,47,a,b,4563,a(flip)),flip(a)]. 4566 T(x,x * (1 / y)) = T(x,y \ x). [hyper(255,a,4149,a(flip),b,4563,a(flip))]. 4567 T(x,x * (y / x)) = T(x,y). [para(21(a,1),4563(a,1,2)),flip(a)]. 4568 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4563(a,1),43(a,1,1))]. 4569 T(T(x,y * x),z) = T(T(x,z),x * y). [para(4563(a,2),43(a,1,1))]. 4570 T(T(x,y),(x \ z) * x) = T(T(x,z),y). [para(4564(a,1),43(a,1,1)),flip(a)]. 4571 ((x \ y) * x) * T(x,y) != z | x * ((x \ y) * x) = z. [para(4564(a,1),225(a,1,2))]. 4572 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(4564(a,1),4452(a,1,1,2))]. 4573 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4567(a,1),4477(a,1,1))]. 4574 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(255,a,4563,a(flip),b,4548,a)]. 4575 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(559(a,1),4548(a,1,2))]. 4577 R(T(T(x,y),z),x \ y,x) = T((x \ y) \ y,z). [para(4560(a,1),47(a,2,1))]. 4578 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4574(a,1),1356(a,1,1))]. 4579 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(70(a,1),4438(a,1,1,1,2)),flip(a)]. 4580 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(255,a,4380,a(flip),b,4440,a(flip)),flip(a)]. 4581 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(22,a,1130,a,b,4443,a)]. 4582 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(255,a,4389,a,b,4444,a),flip(a)]. 4583 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(255,a,4459,a(flip),b,4478,a)]. 4584 T(x,y) * T(T(y,x),x) = y * x. [para(4583(a,1),19(a,1,2))]. 4585 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(45(a,2),4583(a,1,1))]. 4587 (x \ y) * T(y,y \ (x \ y)) = (x \ T(y,x \ 1)) * y. [para(4178(a,2),4501(a,1,1)),flip(a)]. 4589 T(x,x \ T(x * y,y)) = T(x,y). [para(4508(a,1),4140(a,1,2)),flip(a)]. 4590 K(x,x \ T(x * y,y)) = K(x,y). [para(4508(a,1),4242(a,1,2)),flip(a)]. 4591 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(255,a,4213,a,b,4590,a(flip))]. 4592 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(255,a,1367,a,b,4523,a(flip)),flip(a)]. 4593 T(x / (x / y),x) = L(y,y \ x,y). [para(4524(a,1),621(a,1,1))]. 4594 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(4593(a,2),45(a,2,1)),flip(a)]. 4595 L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). [para(70(a,1),4593(a,1,1,2)),flip(a)]. 4596 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(4593(a,2),418(a,1,2))]. 4597 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(4540(a,1),808(a,1,1))]. 4598 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(4409(a,1),4544(a,1,1))]. 4599 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [para(4545(a,1),73(a,1,1)),flip(a)]. 4600 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(4554(a,1),25(a,1)),flip(a)]. 4601 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(129(a,1),4561(a,1,3)),flip(a)]. 4602 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(255,a,43,a,b,4568,a(flip))]. 4603 K(x \ y,x) \ x = x * K(x,y / x). [hyper(4166,a,4579,a),flip(a)]. 4604 ((x \ y) * x) * (y / x) = y * (x \ y). [para(4592(a,1),21(a,1,1))]. 4605 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3685,a,4603,a)]. 4606 K(x,(x * y) / x) = K(y,x) \ 1. [para(18(a,1),4605(a,1,1,1)),flip(a)]. 4607 K(T(x,y),y) \ 1 = K(y,x). [para(167(a,1),4606(a,1,2)),flip(a)]. 4609 K(T(x,y),y) * K(y,x) = 1. [para(4607(a,1),19(a,1,2))]. 4610 R(x,K(x,y),z) = x. [para(4607(a,1),4362(a,1,2))]. 4611 R(T(x,y),K(x,z),u) = T(x,y). [para(4610(a,1),47(a,2,1))]. 4612 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4610(a,1),460(a,1,1,1)),flip(a)]. 4614 K(T(x,y),y) * z != 1 | K(y,x) = z. [para(4609(a,1),24(a,1)),flip(a)]. 4615 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4609(a,1),222(a,1,2)),flip(b)]. 4616 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4611(a,1),461(a,1,1,1)),flip(a)]. 4617 (x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y). [para(73(a,1),4604(a,1,1,1))]. 4618 R(x,y,T(x,y)) = R(x,y,x). [hyper(23,a,462,a,b,4475,a),flip(a)]. 4620 x \ T(y * x,y) = R(y,x,y). [hyper(255,a,986,a,b,4618,a(flip)),flip(a)]. 4621 x * R(y,x,y) = T(y * x,y). [para(4618(a,1),987(a,1,2))]. 4622 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4618(a,1),1961(a,1,2)),flip(a)]. 4623 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(4446(a,1),4618(a,1,3))]. 4624 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(19(a,1),4620(a,1,2,1)),flip(a)]. 4625 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4620(a,1),114(a,1,1)),flip(a)]. 4626 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4621(a,1),222(a,1,2)),flip(b)]. 4627 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4621(a,1),3735(a,2,1))]. 4628 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4621(a,1),4591(a,2,1))]. 4629 K(x \ T(x * y,x),x) = K(y,x). [hyper(255,a,1695,a(flip),b,4628,a),flip(a)]. 4630 K(x \ T(y,x),x) = K(x \ y,x). [para(19(a,1),4629(a,1,1,2,1))]. 4631 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(166(a,1),4630(a,1,1,2)),flip(a)]. 4632 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(4526(a,2),4631(a,1,1))]. 4633 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4632(a,1),4279(a,1,2)),flip(a)]. 4634 T(x,y) * T(T(y,z),x) = T(y,z) * T(x,y). [para(43(a,1),4465(a,1,2))]. 4635 T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4446(a,1),4491(a,1,2,1))]. 4636 (x \ T(x,x \ y)) \ y = (x \ y) * x. [hyper(255,a,127,a(flip),b,4530,a)]. 4637 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(128(a,1),4636(a,1,1,2))]. 4638 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(4637(a,1),70(a,1,2))]. 4639 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(255,a,4391,a,b,4638,a),flip(a)]. 4640 T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). [hyper(255,a,4460,a(flip),b,4537,a)]. 4641 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(255,a,4564,a(flip),b,4575,a)]. 4642 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4641(a,1),1355(a,1,1))]. 4643 x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. [hyper(255,a,1557,a(flip),b,4581,a),flip(a)]. 4644 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(255,a,1604,a,b,4582,a(flip)),flip(a)]. 4647 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(4601(a,1),354(a,1,1))]. 4648 T(x,(y \ x) * y) = x. [hyper(4250,a,4633,a)]. 4649 T((x \ y) * x,y) = (x \ y) * x. [hyper(40,a,4648,a)]. 4650 T(x * (y / x),y) = x * (y / x). [para(75(a,1),4648(a,1,2))]. 4651 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4650(a,2),4639(a,1,1))]. 4652 L(T(x,y),T(z,x),z / T(z,x)) * z = (z / T(z,x)) * (T(x,y) * T(z,x)). [para(4634(a,1),676(a,1,2)),flip(a)]. 4653 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(4243(a,1),4651(a,1,1,1)),flip(a)]. 4654 R(T(T(x,y),(x \ z) * x),x \ z,x) = T((x \ z) \ z,y). [para(4570(a,2),4577(a,1,1))]. 4656 ((x \ y) / y) * (x * (y / x)) = y / x. [para(4647(a,1),713(a,1,2))]. 4657 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(255,a,4111,a(flip),b,4429,a)]. 4658 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(255,a,4446,a(flip),b,4657,a(flip))]. 4659 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(255,a,4446,a(flip),b,4658,a(flip))]. 4660 T(x,y / (z * y)) = T(x,z \ 1). [para(18(a,1),4659(a,1,2,1))]. 4661 T(x,(y / z) \ 1) = T(x,z / y). [para(73(a,1),4659(a,1,2,1)),flip(a)]. 4665 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4661(a,1),4274(a,1,1,2))]. 4666 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(542(a,1),4468(a,1,2))]. 4667 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(255,a,4554,a(flip),b,4666,a)]. 4669 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4563(a,2),4667(a,1,2))]. 4670 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(255,a,561,a,b,4669,a(flip)),flip(a)]. 4672 L(x,T(y,x),x) = L(x,y,x). [hyper(4600,a,4670,a),flip(a)]. 4673 (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(4469(a,1),176(a,1,1,2))]. 4674 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4451(a,1),4469(a,1,2)),flip(a)]. 4675 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4496(a,1),4469(a,1,2)),flip(a)]. 4676 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4525(a,1),4469(a,1,2)),flip(a)]. 4678 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4454(a,1),4527(a,1,2,2,1))]. 4679 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4678(a,1),19(a,1,2)),flip(a)]. 4680 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(4237,a,4679,a)]. 4681 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(255,a,4255,a,b,4680,a(flip)),flip(a)]. 4682 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(255,a,3702,a(flip),b,4681,a)]. 4683 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(255,a,3723,a,b,4682,a(flip)),flip(a)]. 4684 K((1 / x) * y,x) = K(x \ y,x). [para(18(a,1),4683(a,1,1,2)),flip(a)]. 4685 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(37(a,2),4684(a,2,1))]. 4686 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(70(a,1),4684(a,1,1,1)),flip(a)]. 4687 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(856(a,1),4685(a,1,1))]. 4688 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(255,a,3724,a(flip),b,4687,a(flip)),flip(a)]. 4689 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4688(a,1),4607(a,1,1))]. 4690 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4615,a,4689,a),flip(a)]. 4691 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [hyper(255,a,3550,a(flip),b,4690,a(flip))]. 4692 K(x,x \ ((x \ 1) \ y)) = K(x,y). [para(19(a,1),4690(a,1,2)),flip(a)]. 4694 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(23,a,1676,a(flip),b,4572,a)]. 4695 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [para(4694(a,1),21(a,1,1))]. 4697 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1684(a,1),4573(a,1,2))]. 4698 T(x,y) * (y / T(x,y)) = x * (y / x). [para(4456(a,1),4697(a,1,2))]. 4699 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4698(a,1),24(a,1)),flip(a)]. 4700 (T(x,y \ 1) / (y \ x)) \ x = (x \ (y \ x)) * x. [para(4598(a,2),73(a,1,1))]. 4701 (x * (y / x)) * (y / (y / x)) = y * x. [para(73(a,1),4617(a,2,2))]. 4702 (x * y) * ((y * x) / ((y * x) / x)) = (y * x) * x. [para(20(a,1),4701(a,1,1,2))]. 4703 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [para(3371(a,1),4700(a,1,1,1))]. 4704 (x * y) * ((y * x) / y) = (y * x) * x. [para(20(a,1),4702(a,1,2,2))]. 4705 x * (((y \ x) * y) / (y \ x)) = ((y \ x) * y) * y. [hyper(519,a,4704,a)]. 4706 ((x \ y) * x) * x = y * (y / (y / x)). [para(4524(a,1),4705(a,1,2)),flip(a)]. 4707 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(4458(a,1),4706(a,1,1,1))]. 4709 T(x,y) \ T(x * y,y) = R(y,x,y). [para(4589(a,1),4528(a,1,1))]. 4710 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(37(a,1),4709(a,1,1))]. 4711 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(255,a,4622,a(flip),b,4674,a)]. 4712 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4711(a,1),4625(a,1,2))]. 4714 R(x,y / x,x) = R(x,x \ y,x). [hyper(23,a,4675,a,b,4676,a),flip(a)]. 4715 R(x,x \ (y \ x),x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [hyper(255,a,4189,a(flip),b,4714,a(flip))]. 4716 R(x,(x * y) / x,x) = R(x,y,x). [para(18(a,1),4714(a,2,2))]. 4717 R(x,T(y,x),x) = R(x,y,x). [para(167(a,1),4716(a,1,2)),flip(a)]. 4718 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(255,a,4623,a,b,4717,a(flip)),flip(a)]. 4719 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4718(a,1),51(a,1,1)),flip(a)]. 4720 (x \ T(y,x \ 1)) * y = (x \ y) * T(y,x \ 1). [para(4409(a,1),4587(a,1,2)),flip(a)]. 4721 L(x,K(y,z),L(y,u,w)) = x. [hyper(422,a,4612,a)]. 4722 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3324(a,1),4612(a,1,1))]. 4723 L(x,K(y,z),y) = x. [para(319(a,1),4721(a,1,3))]. 4729 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(255,a,1574,a(flip),b,4643,a(flip))]. 4730 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4719(a,1),4486(a,1,1)),flip(a)]. 4731 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(255,a,627,a(flip),b,4541,a)]. 4732 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(4540(a,2),4731(a,1,2))]. 4733 ((x \ y) * x) * T((x \ y) \ y,z) = (T(x,z) * (x \ y)) * x. [para(4654(a,1),573(a,1,2))]. 4734 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(20(a,1),4665(a,1,1,2,2))]. 4735 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(255,a,3170,a(flip),b,4734,a(flip))]. 4736 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4735(a,1),4093(a,1,1))]. 4737 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(4113,a,4736,a)]. 4739 T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). [para(167(a,1),4737(a,1,3)),flip(a)]. 4740 L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). [hyper(537,a,4739,a)]. 4741 L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). [hyper(255,a,3212,a(flip),b,4740,a(flip)),flip(a)]. 4742 R(x,x \ (y \ x),x) = ((y \ x) * T(x,y \ 1)) / (y \ x). [para(4720(a,1),4715(a,2,1))]. 4743 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(4341(a,1),4363(a,2,2))]. 4744 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(3072(a,1),4364(a,1,2))]. 4745 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(255,a,3552,a(flip),b,4744,a(flip))]. 4746 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(4516(a,2),4470(a,1))]. 4747 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(255,a,4342,a(flip),b,4533,a)]. 4748 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [para(4695(a,1),4707(a,1,1))]. 4749 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [hyper(4571,a,4748,a),flip(a)]. 4750 x / (x / T(y,x)) = T(x / (x / y),x). [hyper(22,a,4596,a,b,4749,a)]. 4751 T(x / (x / y),x) \ x = x / T(y,x). [para(4750(a,1),73(a,1,1))]. 4752 x / T(y \ x,x) = T(x / y,x) \ x. [para(70(a,1),4751(a,1,1,1,2)),flip(a)]. 4753 ((x \ y) * x) * T(T(x,x \ y),z) = (T(x,z) * (x \ y)) * x. [para(128(a,2),4733(a,1,2,1))]. 4754 (x * y) * T(T(y,y \ (y * x)),z) = (T(y,z) * (y \ (y * x))) * y. [para(18(a,1),4753(a,1,1,1))]. 4755 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4735(a,1),4393(a,1,1))]. 4756 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(4394,a,4755,a),flip(a)]. 4758 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(4368,a,4755,a),flip(a)]. 4759 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [hyper(255,a,4444,a,b,4755,a)]. 4761 x \ (y * (T(y,z) \ x)) = T(T(y,z) \ y,x). [hyper(172,a,4756,a,b,19,a),flip(a)]. 4762 T(x,y) * (x \ z) = y * (T(y,x) \ z). [hyper(255,a,4444,a,b,4756,a(flip)),flip(a)]. 4763 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(255,a,4729,a(flip),b,4756,a(flip))]. 4764 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(255,a,4581,a(flip),b,4756,a(flip)),flip(a)]. 4768 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(80,a,19,a(flip),b,4758,a)]. 4769 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(255,a,4444,a,b,4758,a(flip)),flip(a)]. 4770 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(80,a,4758,a(flip),b,4389,a),flip(a)]. 4771 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4758(a,1),4443(a,1,2)),flip(a)]. 4772 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(80,a,4736,a(flip),b,4759,a(flip)),flip(a)]. 4773 K(x \ (x / (y \ (z \ y))),x) = y \ (x * (T(x,z) \ y)). [para(4762(a,1),1561(a,2,2))]. 4774 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(255,a,112,a,b,4771,a)]. 4775 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(4764(a,1),958(a,1))]. 4776 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(4126,a,4770,a),flip(a)]. 4777 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(255,a,1081,a(flip),b,4772,a)]. 4778 ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). [hyper(255,a,1603,a(flip),b,4777,a(flip)),flip(a)]. 4779 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(367,a,4774,a),flip(a)]. 4780 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(22,a,4485,a,b,4774,a(flip)),flip(a)]. 4781 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(129(a,1),4780(a,1,2))]. 4782 L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). [para(4463(a,1),4781(a,1,3))]. 4783 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(674,a,4776,a),flip(a)]. 4784 K(x \ (x / (y \ (z \ y))),x) = T(T(x,z) \ x,y). [hyper(255,a,4761,a(flip),b,4773,a)]. 4785 T(x,(y \ (z \ y)) \ 1) \ x = T(T(x,z) \ x,y). [hyper(255,a,4431,a(flip),b,4784,a(flip)),flip(a)]. 4786 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4771(a,1),4482(a,1,1))]. 4787 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(636,a,4786,a),flip(a)]. 4788 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4786(a,1),636(a,1))]. 4789 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(255,a,461,a(flip),b,4730,a)]. 4790 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1318(a,1),4789(a,1,1))]. 4791 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(255,a,4622,a(flip),b,4790,a(flip))]. 4792 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(4791(a,1),222(a,1,2))]. 4793 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4640(a,1),4635(a,1,1))]. 4794 T(x,T(y,T(x,z))) = T(x,y). [hyper(255,a,4491,a(flip),b,4793,a(flip))]. 4797 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(188(a,1),4794(a,1,2,2))]. 4800 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(4797(a,1),4594(a,1,1))]. 4801 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4747(a,1),4653(a,1,2)),flip(a)]. 4802 ((x \ y) * x) / y = y / (x * (y / x)). [para(4649(a,1),4801(a,1,1))]. 4803 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(255,a,4580,a(flip),b,4802,a)]. 4804 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(255,a,4319,a,b,4803,a(flip)),flip(a)]. 4805 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4804(a,1),4293(a,2,2))]. 4806 L(x,T(y,y \ z) \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). [hyper(255,a,3214,a,b,4741,a(flip))]. 4807 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3359(a,1),4745(a,1,1)),flip(a)]. 4808 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4807(a,1),3537(a,1,2))]. 4809 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4808(a,1),260(a,1,1)),flip(a)]. 4810 (T(x,y) * (x \ (x * z))) * x = (z * x) * T(T(x,z),y). [para(18(a,1),4754(a,1,2,1,2)),flip(a)]. 4811 (x * y) * T(T(y,x),z) = (T(y,z) * x) * y. [para(18(a,1),4810(a,1,1,2)),flip(a)]. 4812 (x * y) * T(T(y,z),x) = (T(y,z) * x) * y. [para(43(a,1),4811(a,1,2))]. 4813 L(K(x,y) \ T(T(x,y),z),K(x,y),y * x) = (x * y) \ ((T(x,z) * y) * x). [para(4811(a,1),444(a,2,2))]. 4814 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(868,a,4812,a)]. 4815 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(255,a,4768,a(flip),b,4434,a(flip)),flip(a)]. 4816 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(4792,a,4712,a)]. 4817 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(255,a,4743,a(flip),b,4815,a(flip)),flip(a)]. 4818 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4769(a,1),4817(a,1,2)),flip(a)]. 4819 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(255,a,190,a(flip),b,4818,a)]. 4821 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(255,a,3975,a(flip),b,4819,a(flip))]. 4823 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4821(a,1),3730(a,2,2))]. 4824 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(73(a,1),4732(a,2,1,2))]. 4825 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(1188,a,4627,a),flip(a)]. 4826 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2270(a,1),4825(a,1,1)),flip(a)]. 4827 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(81,a,4826,a(flip),b,1182,a)]. 4829 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(2694(a,1),4827(a,1,1))]. 4832 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(255,a,4809,a(flip),b,4823,a)]. 4833 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(4281,a,4832,a)]. 4835 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(255,a,97,a(flip),b,4833,a)]. 4837 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4835(a,1),3209(a,1,2))]. 4838 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4837(a,1),4295(a,1,2)),flip(a)]. 4840 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(255,a,2913,a(flip),b,4838,a)]. 4844 R(x,K(y \ 1,y),z) = x. [para(19(a,1),4840(a,1,3))]. 4847 R(x,y,K(z \ 1,z)) = x. [hyper(255,a,4046,a(flip),b,4844,a(flip)),flip(a)]. 4848 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4844(a,1),122(a,1,1)),flip(a)]. 4849 R(x,K(y,y \ 1),z) = x. [para(1449(a,1),4844(a,1,2))]. 4854 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [hyper(255,a,4028,a(flip),b,4847,a(flip))]. 4855 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(255,a,3999,a(flip),b,4847,a(flip)),flip(a)]. 4856 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(255,a,3949,a(flip),b,4847,a(flip))]. 4857 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(255,a,3013,a(flip),b,4847,a(flip))]. 4858 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(255,a,2933,a(flip),b,4847,a(flip))]. 4860 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4847(a,1),122(a,1,1)),flip(a)]. 4861 (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). [para(4847(a,1),379(a,1,1)),flip(a)]. 4862 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4847(a,1),451(a,1,1))]. 4864 R(x,y,K(z,z \ 1)) = x. [para(1449(a,1),4847(a,1,3))]. 4866 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4847(a,1),2284(a,1,1))]. 4867 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [para(4849(a,1),122(a,1,1)),flip(a)]. 4874 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(255,a,3932,a(flip),b,4864,a(flip))]. 4875 K(x,x \ 1) / (K(x,x \ 1) * y) = 1 / y. [hyper(255,a,2274,a(flip),b,4864,a(flip)),flip(a)]. 4876 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4864(a,1),122(a,1,1)),flip(a)]. 4877 (x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1). [para(4864(a,1),379(a,1,1)),flip(a)]. 4878 x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1). [para(4864(a,1),451(a,1,1))]. 4879 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4864(a,1),2275(a,1,1))]. 4882 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(2511(a,1),4856(a,1,2))]. 4886 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(3077(a,1),4856(a,1,2))]. 4887 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(3092(a,1),4856(a,1,2))]. 4888 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(3098(a,1),4856(a,1,2)),flip(a)]. 4889 T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). [para(3205(a,1),4856(a,1,2)),flip(a)]. 4891 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4857(a,1),122(a,1,1))]. 4894 T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). [hyper(255,a,3863,a(flip),b,4874,a)]. 4896 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2272(a,1),4874(a,1,2))]. 4897 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(3028(a,1),4874(a,1,2))]. 4899 T(x,y * (z * K(u,u \ 1))) = T(x,y * z). [para(3888(a,1),4874(a,1,2))]. 4901 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4854(a,1),4763(a,1,2,1))]. 4902 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(255,a,629,a(flip),b,4886,a(flip))]. 4903 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(3435(a,2),4886(a,1,2,1))]. 4905 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(3174(a,1),4888(a,2,2))]. 4906 K((x \ 1) * y,x \ y) = 1. [hyper(41,a,4902,a)]. 4907 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(2271,a,4861,a)]. 4910 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. [para(2924(a,1),4875(a,1,2)),flip(a)]. 4911 (x \ K(y,y \ 1)) * y = (x \ 1) * ((y \ 1) \ 1). [para(4877(a,1),2900(a,1,1))]. 4912 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(2910(a,1),4899(a,1,2,2))]. 4913 T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). [para(4910(a,1),3863(a,1,2,1)),flip(a)]. 4915 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(255,a,3958,a(flip),b,4848,a(flip)),flip(a)]. 4930 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2263(a,2),4855(a,1,2))]. 4932 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(2871(a,1),4858(a,2,2))]. 4933 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(2697,a,4860,a)]. 4934 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2271,a,4860,a)]. 4935 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(422,a,4860,a)]. 4938 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4860(a,1),3958(a,1,1))]. 4939 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4860(a,1),3992(a,1,1))]. 4940 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(255,a,1430,a,b,4933,a(flip)),flip(a)]. 4945 L(K(x \ y,y \ x),z,u) = K((y \ x) \ 1,y \ x). [para(2789(a,1),4935(a,1,1))]. 4950 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(255,a,3933,a,b,4862,a(flip)),flip(a)]. 4951 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(691(a,1),4862(a,1,2)),flip(a)]. 4952 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(4016(a,1),4951(a,1,2))]. 4953 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4951(a,1),4856(a,1,2)),flip(a)]. 4954 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(255,a,2263,a,b,4866,a)]. 4955 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [hyper(255,a,3925,a(flip),b,4867,a(flip)),flip(a)]. 4958 K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). [hyper(3889,a,4876,a)]. 4960 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(422,a,4876,a)]. 4964 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(80,a,4958,a(flip),b,1448,a(flip))]. 4966 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(80,a,4964,a(flip),b,1463,a(flip)),flip(a)]. 4967 (K(x \ 1,x) * y) \ z = (y \ z) * K(x,x \ 1). [hyper(255,a,4006,a,b,4878,a(flip)),flip(a)]. 4969 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(255,a,2247,a,b,4879,a)]. 4970 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2938,a,4915,a)]. 4973 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(K(z \ 1,z) * u,y,x). [para(4915(a,2),33(a,2,2,2)),flip(a)]. 4978 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4915(a,1),4866(a,1,2))]. 4979 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u * K(z \ 1,z),y,x). [para(4934(a,2),33(a,2,2,2)),flip(a)]. 4981 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(255,a,2263,a,b,4950,a)]. 4982 T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). [para(4950(a,2),4856(a,1,2))]. 4983 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(2936(a,1),4982(a,1,2,1))]. 4985 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [hyper(255,a,4004,a(flip),b,4954,a(flip))]. 4987 (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(4955(a,2),29(a,2,2,1)),flip(a)]. 4990 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2936(a,1),4955(a,2,2))]. 4991 K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). [para(2937(a,1),4955(a,2,2))]. 4993 x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). [para(4955(a,1),4879(a,1,2))]. 4994 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(4955(a,1),4950(a,1,1))]. 4995 (K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z). [hyper(255,a,2247,a,b,4967,a)]. 4997 x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. [para(4969(a,2),2253(a,1))]. 5000 K(x \ 1,x) * ((y * x) \ z) = (y * ((x \ 1) \ 1)) \ z. [para(2898(a,1),4981(a,1,1)),flip(a)]. 5001 K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. [para(4052(a,1),4981(a,1,1)),flip(a)]. 5002 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [para(3050(a,1),4995(a,1,1)),flip(a)]. 5003 K((x \ y) \ 1,x \ y) != z | K(y \ x,x \ y) = z. [para(4945(a,1),323(a,1)),flip(b)]. 5004 L(K(x \ y,y \ x),z,u) != w | K(x \ y,y \ x) = w. [para(4945(a,2),5003(a,1))]. 5005 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(4775,a,4901,a)]. 5006 T(x * (y / x),z) = x * (T(y,z) / x). [para(5005(a,1),19(a,1,2)),flip(a)]. 5007 T(x * y,z) / y = y \ T(y * x,z). [para(20(a,1),5005(a,1,2,1,2)),flip(a)]. 5008 (x \ T(x * (y / x),z)) * x = T(y,z). [para(5005(a,2),21(a,1,1))]. 5009 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(70(a,1),5005(a,1,2,1,2))]. 5011 T((x \ y) * x,z) / x = x \ T(y,z). [para(69(a,1),5005(a,1,2,1)),flip(a)]. 5012 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [para(5005(a,1),170(a,1,2,2))]. 5016 x * (T(y * x,z) / x) = T(x * y,z). [para(20(a,1),5006(a,1,1,2)),flip(a)]. 5021 T(x * (y / x),K(y,z)) = x * (y / x). [para(3316(a,1),5006(a,2,2,1))]. 5022 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(4463(a,1),5006(a,2,2,1))]. 5024 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(255,a,848,a,b,5007,a),flip(a)]. 5025 (x \ T(x * y,z)) * x = T(y * x,z). [para(5007(a,1),21(a,1,1))]. 5026 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(5007(a,1),129(a,1,1))]. 5027 T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,z). [para(104(a,1),5007(a,2,2,1))]. 5028 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(5007(a,1),4249(a,1,2))]. 5029 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). [hyper(255,a,2945,a,b,5008,a(flip)),flip(a)]. 5030 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(69(a,1),5008(a,1,1,2,1)),flip(a)]. 5037 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(5016(a,1),4567(a,1,2)),flip(a)]. 5039 T(K(x,y),z * (x / z)) = K(x,y). [hyper(40,a,5021,a)]. 5040 T(K(x * y,z),y * x) = K(x * y,z). [para(20(a,1),5039(a,1,2,2))]. 5046 T(x,y) \ T((z \ x) * z,y) = K(z \ T(x,y),z). [hyper(80,a,5030,a,b,263,a)]. 5047 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(5030(a,2),25(a,1))]. 5048 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(5030(a,1),127(a,1,2))]. 5050 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(129(a,1),5030(a,2,1,2))]. 5052 ((x * T((y \ z) * y,x)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(5030(a,2),4329(a,1,1,1,2))]. 5053 K(x * y,z) * (y * x) = (y * x) * K(x * y,z). [para(5040(a,1),127(a,1,2)),flip(a)]. 5055 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(129(a,1),5012(a,1,2,2,1)),flip(a)]. 5057 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(129(a,1),5048(a,1,2,1,2)),flip(a)]. 5059 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(5050(a,1),167(a,1,1,2))]. 5060 (x \ y) \ T((x \ y) * x,x) = (y * x) / y. [hyper(255,a,1116,a(flip),b,5009,a)]. 5061 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(255,a,5006,a,b,5022,a)]. 5062 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1780(a,1),5024(a,2,1,1))]. 5063 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(2938,a,5029,a),flip(a)]. 5064 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [hyper(2931,a,5029,a),flip(a)]. 5067 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(255,a,4330,a(flip),b,5055,a(flip))]. 5068 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(162(a,2),5055(a,2,2,2,1))]. 5069 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(255,a,4065,a,b,5057,a(flip)),flip(a)]. 5070 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(163(a,2),5057(a,1,1,1,2))]. 5071 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(18(a,1),5059(a,1,1,2,1,2))]. 5072 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(5059(a,1),226(a,1,1)),flip(b)]. 5073 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(255,a,4661,a,b,5061,a(flip)),flip(a)]. 5075 T(x * K(y,y \ 1),z) = K(y,y \ 1) * T(x,z). [para(2247(a,1),5063(a,1,1))]. 5078 T(((x \ 1) \ 1) \ y,z) * K(x,x \ 1) = T(x \ y,z). [para(3036(a,1),5064(a,1,1)),flip(a)]. 5079 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(4551,a,5071,a),flip(a)]. 5080 (x \ ((y * (x * z)) / y)) * x = (y * (z * x)) / y. [para(18(a,1),5071(a,1,1,2,1)),flip(a)]. 5081 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * ((z * (((x * z) / x) \ y)) / z). [hyper(255,a,2736,a,b,5080,a)]. 5082 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(3347(a,1),4905(a,1,2))]. 5083 (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). [para(1454(a,1),4932(a,1,1)),flip(a)]. 5085 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4940(a,1),19(a,1,2))]. 5086 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(255,a,1400,a,b,5028,a(flip)),flip(a)]. 5087 T(x,T(((y \ 1) \ 1) \ z,u)) = T(x,T(y \ z,u)). [para(5078(a,1),4874(a,1,2)),flip(a)]. 5088 T(x,T((1 / y) \ z,u)) = T(x,T((y \ 1) \ z,u)). [para(73(a,1),5087(a,1,2,1,1,1)),flip(a)]. 5089 (L(x,y,z) \ 1) * T(x,x \ 1) = L(x,y,z) \ x. [hyper(2880,a,5085,a)]. 5090 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(5085(a,1),2831(a,1,1))]. 5091 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4891(a,1),25(a,1))]. 5094 T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). [para(4054(a,2),4894(a,1,2))]. 5095 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(81,a,4938,a(flip),b,122,a)]. 5096 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(4014,a,4939,a),flip(a)]. 5097 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(23,a,3092,a,b,4952,a)]. 5098 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(255,a,3811,a(flip),b,5097,a)]. 5099 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(33(a,2),4978(a,2,1))]. 5100 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). [hyper(636,a,4993,a),flip(a)]. 5101 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(5072,a,5086,a)]. 5103 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). [para(3937(a,1),5094(a,1,2,1))]. 5104 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(255,a,4979,a(flip),b,5099,a(flip)),flip(a)]. 5105 L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). [hyper(255,a,4973,a(flip),b,5099,a(flip)),flip(a)]. 5108 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [hyper(255,a,2263,a,b,5105,a)]. 5110 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(2913(a,1),5108(a,1,1)),flip(a)]. 5111 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(2938,a,5110,a),flip(a)]. 5112 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(2931,a,5110,a),flip(a)]. 5113 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(255,a,2992,a(flip),b,5110,a(flip)),flip(a)]. 5115 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(20(a,1),5113(a,1,1,2,1,2))]. 5116 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(5113(a,1),69(a,1,2,1)),flip(a)]. 5117 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(69(a,1),5113(a,1,1,2,1)),flip(a)]. 5118 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(5117(a,1),112(a,1,2))]. 5119 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(437(a,1),5117(a,2,1,2))]. 5120 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(439(a,1),5117(a,2,1,2))]. 5122 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(1522(a,1),5111(a,1,1)),flip(a)]. 5123 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [para(5111(a,2),4879(a,1,2))]. 5124 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(255,a,1543,a(flip),b,5122,a(flip)),flip(a)]. 5125 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(128(a,1),5124(a,2,1))]. 5127 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(87,a,5125,a)]. 5129 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(255,a,1279,a,b,5127,a(flip)),flip(a)]. 5131 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2476,a,5129,a)]. 5132 L(x,y,z) / x = x \ L(x,y,z). [hyper(96,a,5131,a)]. 5133 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(87,a,5131,a)]. 5134 (1 / x) * L(x,y,z) = x \ L(x,y,z). [hyper(255,a,1040,a,b,5132,a(flip)),flip(a)]. 5137 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(5133(a,1),398(a,1,2,1)),flip(a)]. 5138 T(1 / x,L(x,y,z)) = x \ 1. [hyper(172,a,5134,a,b,1153,a)]. 5139 K(x,T(y \ 1,L(y,z,u))) = K(x,y \ 1). [para(5138(a,1),3710(a,1,2)),flip(a)]. 5140 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1457(a,1),5112(a,1,1)),flip(a)]. 5141 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(5140(a,1),3973(a,1,1)),flip(a)]. 5142 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(5140(a,1),3980(a,1,1))]. 5143 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [hyper(80,a,5137,a(flip),b,1078,a)]. 5144 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(255,a,1438,a(flip),b,5141,a(flip)),flip(a)]. 5145 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(241(a,1),5118(a,1,2,1,2))]. 5146 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(80,a,5119,a(flip),b,190,a),flip(a)]. 5147 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(255,a,5101,a(flip),b,5146,a(flip)),flip(a)]. 5149 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(5147(a,1),226(a,1,1)),flip(b)]. 5151 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(255,a,4805,a(flip),b,5120,a(flip))]. 5152 x * (y \ (x / (x / y))) = (y \ (1 \ x)) * y. [para(17(a,1),5151(a,1,1,2,2)),flip(a)]. 5153 x * (y \ (x / (x / y))) = (y \ x) * y. [para(59(a,1),5152(a,2,1,2))]. 5154 x \ (y / (y / x)) = K(x \ y,x). [hyper(22,a,263,a,b,5153,a)]. 5155 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(255,a,4804,a,b,5154,a(flip)),flip(a)]. 5156 x / (y * (x / y)) = K(y \ x,y). [hyper(255,a,4580,a,b,5154,a(flip)),flip(a)]. 5158 x / (x / y) = y * K(y \ x,y). [para(5154(a,1),19(a,1,2)),flip(a)]. 5161 T(K(x \ y,x),y) = K(x \ y,x). [para(5154(a,1),4386(a,1,1))]. 5162 K(x \ y,x) * (x * (y / x)) = y. [para(5156(a,1),21(a,1,1))]. 5164 x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). [hyper(255,a,3174,a(flip),b,5158,a),flip(a)]. 5165 (x * y) / ((x * y) / x) = x * K(y,x). [para(18(a,1),5158(a,2,2,1))]. 5169 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(5158(a,1),4593(a,1,1))]. 5170 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(4630(a,1),5158(a,2,2))]. 5171 T(x,K(y \ x,y)) = x. [hyper(40,a,5161,a)]. 5172 T(x * y,K(y,x)) = x * y. [para(18(a,1),5171(a,1,2,1))]. 5173 K(x,y) \ (x * y) = y * x. [hyper(255,a,270,a,b,5172,a(flip)),flip(a)]. 5174 K(x,y) = (x * y) / (y * x). [para(5172(a,1),271(a,1,2)),flip(a)]. 5175 K(x,y) * (y * x) = x * y. [para(5173(a,1),19(a,1,2))]. 5176 x * (y * z) != z * y | K(z,y) = x. [para(5173(a,1),94(a,1,2)),flip(b)]. 5177 K(x,y) = T(y,x) \ y. [hyper(255,a,4379,a(flip),b,5174,a)]. 5178 K(x \ y,x) * y = (x \ y) * x. [para(5174(a,2),260(a,1,1))]. 5179 K(x \ (x / y),x) = K(y \ 1,x). [hyper(255,a,4431,a,b,5177,a),flip(a)]. 5180 K(x,y) = ((y * x) / y) \ x. [hyper(255,a,4085,a,b,5177,a)]. 5181 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(255,a,3290,a,b,5177,a),flip(a)]. 5182 K(x,y) = y / T(y,x). [hyper(255,a,3128,a,b,5177,a)]. 5183 K(x,y) = (1 / T(y,x)) * y. [hyper(255,a,3127,a,b,5177,a)]. 5184 K(x,y) = y * (T(y,x) \ 1). [hyper(255,a,1083,a,b,5177,a)]. 5185 T(T(x,y) \ x,z) = K((z \ (y \ z)) \ 1,x). [hyper(255,a,4785,a(flip),b,5177,a),flip(a)]. 5186 K(x,y) = x \ T(x,y). [hyper(255,a,4439,a(flip),b,5177,a)]. 5187 x * T(x \ 1,y) = K(x \ 1,y). [hyper(255,a,4430,a(flip),b,5177,a),flip(a)]. 5188 K(T(x,y),y) = x \ T(x,y). [hyper(255,a,4087,a(flip),b,5177,a)]. 5189 x \ (T(1 / x,y) \ 1) = K(y,x \ 1). [hyper(255,a,3390,a(flip),b,5177,a),flip(a)]. 5190 K(x,y) / y = 1 / T(y,x). [hyper(81,a,5177,a,b,3127,a)]. 5191 K(x,y) / ((y \ 1) \ 1) = T(y,x) \ 1. [hyper(81,a,5177,a,b,2297,a)]. 5192 T(x,y) \ 1 = x \ K(y,x). [hyper(80,a,5177,a,b,1083,a),flip(a)]. 5194 T(x,y) * K(y,x) = x. [para(5177(a,2),19(a,1,2))]. 5195 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(45(a,2),5177(a,2,1)),flip(a)]. 5196 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(47(a,2),5177(a,2,1)),flip(a)]. 5197 T(x,y) = x / K(y,x). [para(5177(a,2),70(a,1,2)),flip(a)]. 5199 x * K(y,z) != z | T(z,y) = x. [para(5177(a,2),94(a,1,2)),flip(b)]. 5201 x / K(y,x) != z | T(x,y) = z. [para(5177(a,2),303(a,1,2)),flip(b)]. 5202 L(K(x,y),T(y,x),z) = (z * T(y,x)) \ (z * y). [para(5177(a,2),114(a,1,1))]. 5203 ((x \ y) \ y) * K(x \ y,x) = x. [para(5177(a,2),312(a,1,2))]. 5204 T(x,y) = (x * K(y,x)) \ (x * x). [para(5177(a,2),1587(a,1,1,2)),flip(a)]. 5205 K((1 / x) \ y,y) = T(y,y * x) \ y. [para(1991(a,1),5177(a,2,1))]. 5206 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(5177(a,2),2704(a,1,2))]. 5207 K(x,y) * T(y,x) = y. [para(5177(a,2),3133(a,1,1))]. 5208 T(x,y) = K(y,x) \ x. [para(5177(a,2),3134(a,1,1)),flip(a)]. 5209 K(x,y) * (y \ 1) = T(y,x) \ 1. [para(5177(a,2),3394(a,1,1))]. 5210 K(x \ K(x,y),x) = K(x \ 1,x). [para(5177(a,2),3669(a,1,1,2))]. 5211 K(x,y) * ((y * x) / y) = x. [para(5177(a,2),4086(a,1,1))]. 5212 x * K(T(x,y),y) = T(x,y). [para(5177(a,2),4088(a,1,2))]. 5213 ((x * y) / x) \ x = y \ (x * K(y,x)). [para(5177(a,2),4239(a,1,2,2)),flip(a)]. 5214 x * (((y * x) / y) \ z) = K(x,y) * z. [para(5177(a,2),4389(a,2,1))]. 5215 K(x,y) = T(y,T(x,y)) \ y. [para(4446(a,2),5177(a,2,1))]. 5216 T(x * K(y,x),y) = x. [para(5177(a,2),4473(a,1,1,2))]. 5217 (x * y) / x = y * K(x,y). [para(5177(a,2),4442(a,2,2))]. 5219 K(x * (1 / y),x) = T(x,y \ x) \ x. [para(4566(a,1),5177(a,2,1))]. 5220 x * (K(x,y) * z) = T(x,y) * z. [para(5177(a,2),4443(a,1,2,1))]. 5221 T(x,y) * (x \ z) = K(x,y) * z. [para(5177(a,2),4444(a,2,1))]. 5222 K(x / y,z) * x = y * T(y \ x,z). [para(5177(a,2),4581(a,1,1))]. 5223 K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z). [para(5177(a,2),4436(a,1,1)),flip(a)]. 5224 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(5177(a,2),4437(a,1,2)),flip(a)]. 5225 x * (T(x,y) \ z) = K(y,x) * z. [para(5177(a,2),4756(a,1,1)),flip(a)]. 5226 K(x,y) * (T(y,x) * z) = y * z. [para(5177(a,2),4758(a,1,1))]. 5227 K(x,y) \ y != z | T(y,x) = z. [para(5182(a,2),219(a,1,1)),flip(b)]. 5230 (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). [para(5182(a,2),2316(a,1,2))]. 5231 L(T(x,y),T(z,x),z / T(z,x)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(5182(a,2),4652(a,2,1))]. 5232 K(x * K(y,y \ 1),z) = z / T(z,x). [para(4874(a,1),5182(a,2,2))]. 5233 (x * T(x \ y,z)) / y = K(y / x,z). [hyper(255,a,4375,a,b,5186,a),flip(a)]. 5234 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(255,a,4251,a,b,5186,a),flip(a)]. 5236 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(255,a,4083,a,b,5186,a)]. 5237 K(x,y) = ((x * y) / x) / y. [hyper(255,a,4079,a,b,5186,a)]. 5238 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(255,a,4078,a,b,5186,a),flip(a)]. 5239 K(x,y) = y \ ((x * y) / x). [hyper(255,a,4074,a,b,5186,a)]. 5240 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(255,a,3239,a,b,5186,a)]. 5241 K(x,y) = (1 / x) * T(x,y). [hyper(255,a,3238,a,b,5186,a)]. 5242 K(x,y) = T(x,y) / x. [hyper(255,a,3234,a,b,5186,a)]. 5243 K(x,y) = T(x,y) * (x \ 1). [hyper(255,a,927,a,b,5186,a)]. 5244 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [hyper(255,a,4236,a(flip),b,5186,a),flip(a)]. 5248 x \ K(y,x \ 1) = (y * (x \ 1)) / y. [hyper(80,a,5186,a,b,4078,a)]. 5249 T(x,y) \ K(x,y) = x \ 1. [hyper(80,a,5186,a,b,927,a)]. 5250 x \ T(x,y \ 1) = K(x,1 / y). [hyper(255,a,3707,a,b,5186,a(flip))]. 5252 T(x,y) = x * K(x,y). [para(5186(a,2),19(a,1,2)),flip(a)]. 5253 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(45(a,2),5186(a,2,2)),flip(a)]. 5254 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(47(a,2),5186(a,2,2)),flip(a)]. 5255 x * K(x,y) != z | T(x,y) = z. [para(5186(a,2),220(a,1,2)),flip(b)]. 5256 (x * y) \ (x * T(y,z)) = L(K(y,z),y,x). [para(5186(a,2),114(a,1,1)),flip(a)]. 5260 L(K(x,y),x,z / x) = z \ ((z / x) * T(x,y)). [para(5186(a,2),440(a,1,1))]. 5261 (x * y) * T(K(y,x),z) = x * (y * T(K(y,x),z)). [para(5186(a,2),833(a,1,2,2,1)),flip(a)]. 5262 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1990(a,1),5186(a,2,2))]. 5263 T(x,y) = K(x,y) * x. [para(5186(a,2),3236(a,1,1)),flip(a)]. 5264 K(x,y) * x != z | T(x,y) = z. [para(5186(a,2),3241(a,1,1))]. 5265 (x * K(y,x)) * y = y * x. [para(5186(a,2),4069(a,1,1,2))]. 5266 T(x,y) * K(y,T(x,y)) = x. [para(5186(a,2),4072(a,1,2))]. 5267 (x * y) / x = K(x,y) * y. [para(5186(a,2),4080(a,1,1)),flip(a)]. 5268 (x \ y) * K(x,x \ y) = y / x. [para(5186(a,2),4071(a,1,2))]. 5269 x \ T(x,y \ x) = K(x,x / y). [para(4132(a,1),5186(a,2,2)),flip(a)]. 5271 K(x,x \ y) * y = x * (y / x). [para(5186(a,2),4342(a,1,1))]. 5272 K(x,y) * (x * z) = T(x,y) * z. [para(5186(a,2),4343(a,1,1))]. 5273 x * (T(x,y) \ z) = K(x,y) \ z. [para(5186(a,2),4351(a,1,1)),flip(a)]. 5274 K(x,y) \ (T(x,y) * z) = x * z. [para(5186(a,2),4367(a,1,1))]. 5275 K(x,y) \ z != u | x * (T(x,y) \ z) = u. [para(5186(a,2),4394(a,1,1))]. 5277 (x / (x / y)) \ L(y,y \ x,y) = K(x / (x / y),x). [para(4593(a,1),5186(a,2,2)),flip(a)]. 5278 x \ T(x,y / (z * y)) = K(x,z \ 1). [para(4660(a,2),5186(a,2,2)),flip(a)]. 5279 K(x,y * K(z,z \ 1)) = x \ T(x,y). [para(4874(a,1),5186(a,2,2))]. 5281 T(x,y) \ x != z | K(y,x) = z. [para(5194(a,1),222(a,1,2)),flip(b)]. 5284 x * (y * K(x,y)) = T(x,y) * y. [para(5194(a,1),4771(a,1,2)),flip(a)]. 5286 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(3708(a,1),5197(a,2,2)),flip(a)]. 5288 K(x,y / x) * (x \ y) = y / x. [para(129(a,1),5207(a,1,2))]. 5290 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(255,a,4579,a,b,5208,a),flip(a)]. 5291 T(x,y) = 1 / (x \ K(y,x)). [hyper(255,a,3729,a,b,5208,a)]. 5292 T(x,y) = (K(y,x) / x) \ 1. [hyper(255,a,3700,a,b,5208,a)]. 5294 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(5208(a,2),2699(a,1,2,1))]. 5295 T(T(x * K(y,x),z),y) = T(x,z). [para(5216(a,1),43(a,1,1)),flip(a)]. 5296 (x * K(y,x)) \ (y * x) = y. [para(5216(a,1),168(a,1,2,2))]. 5298 T(x * K(y,x),z) * y = y * T(x,z). [para(5216(a,1),182(a,1,2,1)),flip(a)]. 5299 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(5216(a,1),205(a,1,1,2,1)),flip(a)]. 5300 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(5216(a,1),183(a,1,2,1)),flip(a)]. 5301 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(5216(a,1),184(a,1,2,1)),flip(a)]. 5302 T((x * (y * K(z,y))) / x,z) = (x * y) / x. [para(5216(a,1),404(a,1,1,2)),flip(a)]. 5304 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(5216(a,1),2210(a,1,2,1)),flip(a)]. 5305 T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). [para(5216(a,1),2230(a,1,2,2)),flip(a)]. 5307 T(x \ K(y,x \ 1),y) = x \ 1. [para(3174(a,1),5216(a,1,1))]. 5308 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(5216(a,1),3376(a,1,2)),flip(a)]. 5309 T(K(x,y \ 1) / y,x) = 1 / y. [para(3718(a,1),5216(a,1,1))]. 5311 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(5216(a,1),4462(a,1,2,1)),flip(a)]. 5312 T(1 / x,y) * x = K(x \ 1,y). [hyper(255,a,665,a(flip),b,5242,a),flip(a)]. 5316 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(5242(a,2),874(a,1))]. 5318 T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). [hyper(81,a,5252,a,b,100,a)]. 5320 T(x,T(y,T(x,z))) = x * K(x,y). [hyper(255,a,4794,a,b,5252,a(flip)),flip(a)]. 5323 T(x,y) != x * z | K(x,y) = z. [para(5252(a,2),24(a,1))]. 5325 x \ T(x,y) != z | K(x,y) = z. [para(5252(a,2),222(a,1,2)),flip(b)]. 5328 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(5252(a,2),123(a,2,1))]. 5331 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(5252(a,2),454(a,2,2))]. 5333 (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). [para(5252(a,2),1929(a,1,1)),flip(a)]. 5334 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(3309(a,1),5252(a,2,2)),flip(a)]. 5335 (K(x,y) / R(x,z,u)) * x = T(x,y) / R(x,z,u). [hyper(81,a,5263,a,b,1953,a),flip(a)]. 5336 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(255,a,45,a,b,5263,a(flip))]. 5337 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(255,a,43,a,b,5263,a(flip))]. 5340 x * (K(y,x) * y) = y * x. [para(5263(a,1),127(a,1,2))]. 5345 L(x \ y,x,K(y,z)) = (K(y,z) * x) \ T(y,z). [para(5263(a,2),114(a,2,2))]. 5349 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(5263(a,2),431(a,1,2,2))]. 5350 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(5263(a,2),635(a,1,1))]. 5351 ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). [para(5263(a,2),877(a,1,2,1))]. 5353 T(x,y) != z | x * K(x,y) = z. [para(5263(a,2),3322(a,1))]. 5354 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(112(a,1),5175(a,1,2))]. 5355 (x * y) \ (K(x,y) * ((y * x) * z)) != u | L(z,y * x,K(x,y)) = u. [para(5175(a,1),431(a,1,1))]. 5356 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5175(a,1),424(a,1,1))]. 5357 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(5175(a,1),5027(a,1,1,1))]. 5359 K(x,y) = x * (((y * x) / y) \ 1). [hyper(255,a,1146,a,b,5180,a)]. 5360 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(80,a,5180,a,b,1146,a),flip(a)]. 5362 K(x,y) / x = 1 / ((y * x) / y). [para(5180(a,2),3279(a,1,1))]. 5363 K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). [hyper(81,a,2500,a(flip),b,5183,a(flip))]. 5365 K(x \ R(x,y,z),x) = (1 / x) * x. [para(4039(a,1),5183(a,2,1,2))]. 5366 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(5184(a,2),33(a,2,2,2)),flip(a)]. 5367 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(5184(a,2),113(a,1,2,2)),flip(a)]. 5368 K(T(x,y),y) = K(x,y). [hyper(255,a,5186,a,b,5188,a)]. 5373 K(x,T(y,x)) = K(x,y). [hyper(255,a,4195,a(flip),b,5368,a(flip))]. 5374 K(x,y / x) = K(x,x \ y). [hyper(255,a,4194,a(flip),b,5368,a(flip)),flip(a)]. 5375 K(x \ (y * x),x) = K(y,x). [para(37(a,1),5368(a,1,1))]. 5376 K(x / y,y) = K(y \ x,y). [para(129(a,1),5368(a,1,1)),flip(a)]. 5377 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(128(a,1),5368(a,1,1))]. 5378 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(716(a,1),5368(a,1,1)),flip(a)]. 5379 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(707(a,1),5368(a,1,1)),flip(a)]. 5380 K(x / (x / y),y \ x) = K(y,y \ x). [para(4506(a,1),5368(a,1,1)),flip(a)]. 5381 K(x,y) \ 1 = K(y,x). [para(5368(a,1),4607(a,1,1))]. 5382 K(x,y) * K(y,x) = 1. [para(5368(a,1),4609(a,1,1))]. 5383 K(x,y) * z != 1 | K(y,x) = z. [para(5368(a,1),4614(a,1,1))]. 5384 K(x,y) \ 1 != z | K(y,x) = z. [para(5368(a,1),4615(a,1,1))]. 5385 K(x * K(y,x),y) = K(x,y). [para(5216(a,1),5368(a,1,1)),flip(a)]. 5387 K(x,x \ (y * x)) = K(x,y). [para(37(a,1),5373(a,1,2))]. 5388 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(45(a,2),5373(a,1,2))]. 5389 K(x \ y,(x \ y) \ y) = K(x \ y,x). [para(128(a,1),5373(a,1,2))]. 5390 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(187(a,1),5373(a,1,2)),flip(a)]. 5392 K(x,y * K(x,y)) = K(x,y). [para(5216(a,1),5373(a,1,2)),flip(a)]. 5394 1 / K(x,y) = K(y,x). [para(5381(a,1),70(a,1,2))]. 5395 1 / K(x,y) != z | K(y,x) = z. [para(5381(a,1),303(a,1,2)),flip(b)]. 5396 L(x \ K(y,z),x,K(z,y)) = (K(z,y) * x) \ 1. [para(5381(a,1),241(a,1,1,2))]. 5397 T((x * K(y,z)) \ x,u) = L(T(K(z,y),u),K(y,z),x). [para(5381(a,1),344(a,2,1,1))]. 5398 L(L(K(x,y),z,u),K(y,x),w) = L((w * K(y,x)) \ w,z,u). [para(5381(a,1),346(a,1,1,1))]. 5399 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(5381(a,1),2018(a,2,2,1))]. 5400 T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(5381(a,1),2168(a,2,1,2,1))]. 5402 (x * K(y,x)) \ 1 = x \ K(x,y). [para(5381(a,1),3675(a,2,2))]. 5403 K(x,T(y,x)) != z | K(x,y) = z. [para(5381(a,1),4615(a,1))]. 5404 T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. [para(5394(a,1),3869(a,1,2,2))]. 5406 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(5192(a,1),303(a,1,2)),flip(b)]. 5407 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(5192(a,1),2185(a,1,2,1))]. 5408 K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. [para(5192(a,2),3529(a,2,1))]. 5409 K(x \ y,x) * (y / x) = x \ y. [para(19(a,1),5211(a,1,2,1))]. 5411 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(100(a,1),5211(a,1,2,1))]. 5413 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [para(5215(a,2),4358(a,1,1))]. 5414 (T(x,y) * y) / T(x,y) = y * K(x,y). [para(5215(a,2),4442(a,2,2))]. 5415 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(4746,a,5217,a),flip(a)]. 5416 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(4257,a,5217,a)]. 5418 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(255,a,3712,a(flip),b,5217,a),flip(a)]. 5419 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [hyper(80,a,5217,a,b,1611,a)]. 5420 T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). [hyper(80,a,5217,a,b,1079,a)]. 5421 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(26,a,5217,a)]. 5422 T(x * y,y) / T(x,y) = y * K(x * y,y). [hyper(255,a,1122,a,b,5217,a(flip)),flip(a)]. 5424 x \ T(x * y,y) = y * K(x * y,y). [hyper(255,a,4148,a(flip),b,5217,a(flip)),flip(a)]. 5426 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(122(a,1),5217(a,1,1))]. 5427 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(5217(a,1),123(a,1,1))]. 5428 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(5217(a,2),452(a,1,2))]. 5430 T(x * K(y * x,x),y) = R(x,y,x). [para(5217(a,1),703(a,2,1)),flip(a)]. 5431 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(5217(a,1),767(a,1,1))]. 5432 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(5217(a,1),775(a,1,1))]. 5433 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(5217(a,2),103(a,1,2))]. 5434 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(5217(a,1),871(a,1,1,1))]. 5435 (x * K(x * y,x)) * y = T(x * y,x). [para(5217(a,1),980(a,1,1))]. 5436 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(5217(a,1),769(a,1,1))]. 5437 L(x * K(y,x),x \ 1,x) = (y * (1 / (1 / x))) / y. [para(5217(a,1),1498(a,1,1))]. 5438 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(5217(a,1),1627(a,2,1,2))]. 5439 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1835(a,1),5217(a,1,1))]. 5440 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(5217(a,1),1847(a,2,1)),flip(a)]. 5441 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1951(a,1),5217(a,1,1))]. 5442 K(x,y) = (1 / y) * ((x * y) / x). [para(5217(a,2),3171(a,1,2)),flip(a)]. 5444 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(5217(a,1),5079(a,1,1,2))]. 5445 K(x,y) / (1 / y) = (x * (1 / (1 / y))) / x. [hyper(81,a,5237,a,b,1619,a)]. 5446 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [para(915(a,1),5237(a,2,1)),flip(a)]. 5447 (x \ y) \ (y / x) = K(x,x \ y). [para(19(a,1),5239(a,2,2,1)),flip(a)]. 5448 x * K(y,x) != z | (y * x) / y = z. [para(5239(a,2),220(a,1,2)),flip(b)]. 5451 K(x,y) * K(x \ 1,x) = (x \ 1) * T(x,y). [para(5241(a,2),3098(a,1,1))]. 5453 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(5243(a,2),431(a,1,2,2))]. 5454 T(x,y * x) * (x \ 1) = K(x,x * y). [para(4563(a,2),5243(a,2,1)),flip(a)]. 5455 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5381(a,1),5243(a,2,2)),flip(a)]. 5456 T(x,y) * (x \ 1) != z | K(x,y) = z. [para(5249(a,1),220(a,1,2)),flip(b)]. 5457 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(23,a,1957,a,b,5265,a)]. 5458 (x * y) / x != z | y * K(x,y) = z. [para(5265(a,1),304(a,1,1)),flip(b)]. 5460 x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). [para(5265(a,1),5083(a,1,2)),flip(a)]. 5463 L(((x * y) \ x) \ 1,(x * y) \ x,y * x) = y. [hyper(1612,a,5296,a)]. 5470 x \ (y * (x / y)) = K(y,y \ x). [hyper(255,a,107,a,b,5374,a(flip)),flip(a)]. 5471 K(x,x \ (y \ x)) = K(x,y \ 1). [hyper(255,a,4680,a(flip),b,5374,a(flip))]. 5472 x * K(y,y \ x) = y * (x / y). [para(5374(a,1),264(a,1,2))]. 5473 K(x,x \ y) \ 1 = K(y / x,x). [para(5374(a,1),5381(a,1,1))]. 5475 (x * (y / x)) \ y = K(x \ y,x). [hyper(255,a,108,a,b,5376,a(flip)),flip(a)]. 5484 (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. [para(3309(a,1),5255(a,1,2))]. 5485 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(45(a,2),5281(a,1,1))]. 5486 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(47(a,2),5281(a,1,1))]. 5488 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(4430(a,1),5281(a,1))]. 5489 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(4431(a,2),5281(a,1))]. 5490 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(45(a,2),5325(a,1,2))]. 5491 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(542(a,2),5325(a,1,2))]. 5493 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(4375(a,2),5325(a,1))]. 5502 K(x,x \ (y * x)) != z | K(x,y) = z. [para(37(a,1),5403(a,1,2))]. 5504 K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w. [para(47(a,2),5403(a,1,2))]. 5505 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(1061(a,1),5403(a,1,2))]. 5507 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(5368(a,2),5403(a,1))]. 5509 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(5178(a,1),2046(a,2,2))]. 5510 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2669,a,5179,a)]. 5512 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(255,a,1582,a(flip),b,5179,a(flip)),flip(a)]. 5513 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(255,a,1559,a(flip),b,5179,a(flip)),flip(a)]. 5514 K((x * y) \ x,x * y) = K(y \ 1,x * y). [para(20(a,1),5179(a,1,1,2))]. 5515 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(5179(a,1),1557(a,2,2))]. 5516 (x * y) * K(((x * y) \ x) \ 1,z) = x * T(y,z). [para(5179(a,1),1562(a,1,2))]. 5517 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(5179(a,1),1581(a,1,1))]. 5518 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [para(5179(a,1),1560(a,1,2))]. 5519 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(849,a,5187,a)]. 5525 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(5187(a,1),1218(a,1,1))]. 5526 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(5187(a,1),1411(a,2,1))]. 5528 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(5187(a,1),1895(a,2,2))]. 5529 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(5187(a,1),2453(a,2,1,2))]. 5530 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * K(y \ 1,z)) * z. [para(5187(a,1),2454(a,2,1,2))]. 5532 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u. [para(5206(a,1),431(a,1,2,2))]. 5533 K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. [para(5210(a,1),263(a,1,2))]. 5534 x \ (T(x,y) * z) = K(x,y) * z. [hyper(87,a,5220,a)]. 5535 K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)). [hyper(80,a,127,a(flip),b,5220,a),flip(a)]. 5536 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(80,a,19,a(flip),b,5220,a),flip(a)]. 5537 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(22,a,4582,a,b,5220,a),flip(a)]. 5538 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(22,a,1086,a,b,5220,a)]. 5539 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(22,a,4669,a(flip),b,5220,a)]. 5540 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(22,a,4667,a(flip),b,5220,a)]. 5541 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(22,a,4622,a(flip),b,5220,a)]. 5543 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(5220(a,1),29(a,2,2,1)),flip(a)]. 5545 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(2075(a,1),5220(a,1,2))]. 5546 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(1107,a,5221,a)]. 5547 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(873,a,5221,a)]. 5548 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(255,a,3325,a,b,5221,a)]. 5550 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(255,a,5220,a,b,5221,a(flip)),flip(a)]. 5551 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(255,a,4644,a,b,5221,a(flip)),flip(a)]. 5552 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [hyper(255,a,5137,a(flip),b,5221,a(flip)),flip(a)]. 5553 (x * y) / (T(x,z) * y) = K(z,x). [hyper(81,a,4769,a(flip),b,5221,a(flip))]. 5554 K(x,y) \ (y * z) = T(y,x) * z. [hyper(80,a,4769,a(flip),b,5221,a(flip))]. 5555 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(80,a,5221,a(flip),b,5220,a)]. 5556 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(80,a,5221,a(flip),b,4762,a(flip))]. 5557 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(33(a,2),5221(a,1,2)),flip(a)]. 5558 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(5186(a,2),5221(a,1,2)),flip(a)]. 5559 T(x,y) \ (x * z) = K(y,x) * z. [hyper(1127,a,5225,a)]. 5560 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(1106,a,5225,a),flip(a)]. 5561 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(255,a,4778,a,b,5225,a(flip)),flip(a)]. 5562 x \ (((y * x) / y) * z) = K(y,x) * z. [hyper(255,a,4777,a,b,5225,a(flip)),flip(a)]. 5563 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(81,a,4901,a(flip),b,5225,a(flip)),flip(a)]. 5564 T(x,y) * (K(y,x) * z) = x * z. [para(5225(a,1),1079(a,1,2))]. 5565 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(5225(a,1),1106(a,1))]. 5567 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(5186(a,2),5225(a,1,2)),flip(a)]. 5571 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))). [para(5226(a,1),424(a,1,1)),flip(a)]. 5572 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(895(a,1),5236(a,2,1)),flip(a)]. 5580 K(x,1 / y) != z | K(x,y \ 1) = z. [para(5250(a,1),5325(a,1))]. 5583 K(x,x / y) = K(x,y \ x). [hyper(5325,a,5269,a),flip(a)]. 5584 K(x,(y \ x) \ x) = K(x,y). [para(70(a,1),5583(a,1,2)),flip(a)]. 5585 K(x,x / (x / y)) = K(x,y). [para(73(a,1),5583(a,2,2))]. 5586 K(x,T(y,y \ x)) = K(x,y). [para(128(a,2),5584(a,1,2))]. 5587 K(x * y,T(x,y)) = K(x * y,x). [para(18(a,1),5586(a,1,2,2))]. 5588 T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). [hyper(81,a,5006,a,b,5271,a)]. 5589 K(x,(x \ 1) * y) * y = x * (y / x). [para(4690(a,2),5271(a,1,1))]. 5590 K(x,y) * ((x \ 1) \ y) = x * (((x \ 1) \ y) / x). [para(4692(a,1),5271(a,1,1))]. 5592 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(47(a,2),5272(a,2,1))]. 5593 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(5272(a,1),310(a,1))]. 5594 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(183(a,1),5272(a,1,2))]. 5595 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(184(a,1),5272(a,1,2))]. 5597 (K(x * y,z) * (x * (y * u))) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5272(a,1),441(a,1,2))]. 5600 K(x,y) \ z = K(y,x) * z. [hyper(255,a,5225,a(flip),b,5273,a(flip))]. 5602 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(3609,a,5600,a)]. 5603 K(x,y) * (y \ K(y,x)) = y \ 1. [hyper(3608,a,5600,a),flip(a)]. 5604 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(646,a,5600,a),flip(a)]. 5605 x / (K(y,z) * x) = K(z,y). [hyper(416,a,5600,a)]. 5606 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(255,a,3148,a,b,5600,a)]. 5607 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(223,a,5600,a),flip(a)]. 5608 K(x,y) * (K(y,x) * z) = z. [hyper(222,a,5600,a)]. 5609 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(80,a,5600,a,b,127,a)]. 5610 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(255,a,3952,a(flip),b,5600,a(flip))]. 5611 x * (K(y,z) * u) != u | K(z,y) = x. [para(5600(a,1),94(a,1,2)),flip(b)]. 5612 K(x,y) * (K(y,x) * z) != u | u = z. [para(5600(a,1),220(a,1,2))]. 5613 x / (K(y,z) * x) != u | K(z,y) = u. [para(5600(a,1),303(a,1,2)),flip(b)]. 5615 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5600(a,1),241(a,1,1,2))]. 5616 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5600(a,1),241(a,1,1))]. 5618 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5600(a,1),524(a,1,2))]. 5619 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5600(a,1),311(a,1,1,3))]. 5620 R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). [para(5600(a,1),4038(a,1,1))]. 5622 K(x,y) * z != u | K(y,x) * u = z. [para(5605(a,1),89(a,1,1)),flip(b)]. 5623 K(x,y) \ z != u | K(y,x) * z = u. [para(5605(a,1),219(a,1,1)),flip(b)]. 5624 K(x,y) != z | K(y,x) \ 1 = z. [para(5605(a,1),217(a,1)),flip(b)]. 5626 K(x,y) * (K(z,y) * K(y,x)) = K(z,y). [hyper(22,a,2075,a,b,5608,a)]. 5628 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(22,a,2075,a(flip),b,5608,a)]. 5629 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). [para(5608(a,1),114(a,2,1))]. 5630 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(5608(a,1),122(a,1,2))]. 5634 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(5274(a,1),220(a,1,2)),flip(b)]. 5636 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(5284(a,1),35(a,2,2)),flip(a)]. 5638 T(x,x \ y) / (y \ x) = x * (y / x). [para(5290(a,1),4181(a,1,1))]. 5639 T(x,x \ y) / ((y \ x) \ x) = x / ((x \ ((y \ x) \ x)) * x). [para(5290(a,1),4598(a,1,1))]. 5640 T(K(x,y) / (1 / y),x) = 1 / (1 / y). [para(73(a,1),5309(a,1,1,1,2))]. 5641 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(81,a,526,a(flip),b,5312,a),flip(a)]. 5642 K(x,T(y,T(x,z))) = K(x,y). [hyper(5323,a,5320,a)]. 5643 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(5320(a,2),5255(a,1))]. 5644 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(5359(a,2),1302(a,2,2))]. 5645 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(5360(a,1),2308(a,1,2))]. 5648 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(729(a,1),5362(a,2,2))]. 5649 1 / (x * K(y,x)) = K(x,y) / x. [para(5217(a,1),5362(a,2,2)),flip(a)]. 5650 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). [para(5402(a,1),3489(a,2,2,2))]. 5657 (x \ y) * K(x,x \ y) != z | y / x = z. [para(5447(a,1),220(a,1,2)),flip(b)]. 5659 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [para(5006(a,2),5470(a,1,2))]. 5660 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(5471(a,1),5271(a,1,1))]. 5661 T(x,K(y,y \ x)) = x. [hyper(172,a,5472,a,b,5271,a)]. 5663 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(5472(a,1),33(a,2,1)),flip(a)]. 5665 K(x / y,y) != z | K(y \ x,y) = z. [para(5473(a,1),5384(a,1))]. 5666 K(x \ (x / y),x) = (T(x,y \ 1) / y) \ (x / y). [para(4174(a,2),5475(a,1,1)),flip(a)]. 5667 T(x / y,z) \ x = K(x / y,z) \ y. [hyper(523,a,5534,a),flip(a)]. 5668 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(5534(a,1),220(a,1,2)),flip(b)]. 5671 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5536(a,1),24(a,1))]. 5673 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(45(a,2),5546(a,1,2,1))]. 5674 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(47(a,2),5553(a,1,2,1))]. 5677 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(45(a,2),5559(a,1,1))]. 5678 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(5559(a,1),220(a,1,2)),flip(b)]. 5680 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(5559(a,1),1103(a,1))]. 5681 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(5194(a,1),5559(a,1,2)),flip(a)]. 5682 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(5252(a,2),5559(a,1,2))]. 5683 K(x,y) * (y * z) = y * (K(x,y) * z). [para(5559(a,1),5225(a,1,2)),flip(a)]. 5687 K(x,y) * (x / y) = x / T(y,x). [hyper(4699,a,5564,a),flip(a)]. 5688 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(1137,a,5564,a)]. 5694 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5603(a,1),304(a,1,1)),flip(b)]. 5695 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5609(a,1),1814(a,1,2,2,1))]. 5696 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5609(a,1),1816(a,1,2,2,1))]. 5697 (x \ K(x,y)) * ((x \ 1) \ 1) = K(x,y). [para(5645(a,1),169(a,1,2))]. 5698 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(5645(a,1),182(a,1,2,1))]. 5699 (K(x,y) / x) \ 1 = x * K(y,x). [para(5649(a,1),73(a,1,1))]. 5702 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5687(a,1),112(a,1,1))]. 5703 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5687(a,1),149(a,1,2,1))]. 5704 K(x \ R(x,y,z),x) = (x \ K(x,x \ 1)) * x. [para(1450(a,2),5365(a,2,1))]. 5707 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(3147,a,5540,a)]. 5708 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(3147,a,5541,a)]. 5709 T(x,x * y) \ T(x,y) = x \ R(x,y,x). [hyper(80,a,5541,a(flip),b,5225,a),flip(a)]. 5713 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(2247(a,1),5612(a,1,2))]. 5716 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. [para(4049(a,2),5612(a,1,2)),flip(b)]. 5717 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(37(a,2),5623(a,1))]. 5718 T(x,T(y,x)) != z | T(x,y) = z. [para(126(a,1),5643(a,1,2,2))]. 5719 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(187(a,1),5643(a,1,2))]. 5724 K(x,x * y) * K(y,x) = x \ L(x,y,x). [hyper(80,a,5707,a(flip),b,5220,a),flip(a)]. 5725 T(x,y \ x) * K(y \ 1,x) = L(x,y \ 1,x). [para(1990(a,1),5707(a,1,1))]. 5726 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(80,a,5708,a(flip),b,5220,a),flip(a)]. 5727 (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). [para(5708(a,1),33(a,2,2,2)),flip(a)]. 5730 R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). [para(5181(a,1),3802(a,2,1,2,1))]. 5731 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(5189(a,1),19(a,1,2)),flip(a)]. 5732 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [para(5191(a,1),2870(a,1,1)),flip(a)]. 5733 K((1 / x) \ y,y) = K(y * x,y). [hyper(255,a,5177,a,b,5205,a)]. 5734 K(x * (y \ 1),x) = K(y \ x,x). [para(70(a,1),5733(a,1,1,1)),flip(a)]. 5735 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(5360(a,1),5734(a,1,1,2)),flip(a)]. 5736 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(5217(a,1),5213(a,1,1))]. 5737 K(x,y) * (((y * x) / y) * z) = x * z. [para(18(a,1),5214(a,1,2)),flip(a)]. 5739 x * ((x * K(y,x)) \ z) = K(x,y) * z. [para(5217(a,1),5214(a,1,2,1))]. 5740 K(x * (1 / y),x) = K(y \ x,x). [hyper(255,a,5177,a,b,5219,a)]. 5742 K((x \ 1) \ y,y) = K(y * x,y). [para(70(a,1),5740(a,1,1,2)),flip(a)]. 5743 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(81,a,831,a(flip),b,5222,a)]. 5744 x / (y * T(y \ x,z)) = K(z,x / y). [para(5222(a,1),5605(a,1,2))]. 5745 K(x,y) / (1 / T(y,x)) = 1 / (1 / y). [para(5230(a,1),70(a,1,2))]. 5746 K(x * K(y,y \ 1),z) = K(x,z). [hyper(255,a,5182,a,b,5232,a)]. 5747 K(x * K(y \ 1,y),z) = K(x,z). [para(1451(a,1),5746(a,1,1,2))]. 5751 K(K(x \ 1,x) * y,z) = K(y,z). [para(2911(a,1),5746(a,1,1)),flip(a)]. 5752 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2910(a,1),5746(a,1,1))]. 5754 K(((x \ 1) \ 1) * y,z) = K(x * y,z). [para(3069(a,1),5746(a,1,1))]. 5755 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(3091(a,1),5746(a,1,1)),flip(a)]. 5756 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(3097(a,1),5746(a,1,1))]. 5758 K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). [para(4878(a,2),5746(a,1,1))]. 5759 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4879(a,2),5746(a,1,1))]. 5762 K(x \ K(y \ 1,y),z) = K(x \ 1,z). [para(4861(a,1),5747(a,1,1))]. 5763 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4951(a,1),5747(a,1,1)),flip(a)]. 5764 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4950(a,2),5747(a,1,1))]. 5768 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(5000(a,1),5751(a,1,1))]. 5769 R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). [hyper(255,a,3792,a(flip),b,5238,a(flip)),flip(a)]. 5770 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(255,a,2583,a(flip),b,5238,a(flip)),flip(a)]. 5772 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). [hyper(255,a,1332,a(flip),b,5238,a(flip)),flip(a)]. 5774 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(5238(a,1),1053(a,2,2))]. 5775 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(5238(a,1),2052(a,1,2))]. 5776 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [para(5238(a,1),2420(a,2,2))]. 5777 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(5240(a,2),1190(a,2,1))]. 5779 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [para(1424(a,1),5248(a,2,1))]. 5780 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(255,a,5186,a,b,5262,a)]. 5782 K(x,y / (z * y)) = K(x,z \ 1). [hyper(5325,a,5278,a)]. 5785 K(x,(y \ z) / z) = K(x,y \ 1). [para(19(a,1),5782(a,1,2,2))]. 5786 K(x,(y / z) \ 1) = K(x,z / y). [para(21(a,1),5782(a,1,2,2)),flip(a)]. 5791 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(452(a,1),5785(a,1,2,1)),flip(a)]. 5794 K(x,y * K(z,z \ 1)) = K(x,y). [hyper(255,a,5186,a,b,5279,a)]. 5796 K(x,y * K(z \ 1,z)) = K(x,y). [para(1451(a,1),5794(a,1,2,2))]. 5797 K(x,K(y,y \ 1) * z) = K(x,z). [para(2247(a,2),5794(a,1,2))]. 5798 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(2895(a,1),5794(a,1,2))]. 5799 K(x,y * T(z,z \ 1)) = K(x,y * z). [para(2896(a,1),5794(a,1,2))]. 5800 K(x,K(y \ 1,y) * z) = K(x,z). [para(2911(a,1),5794(a,1,2)),flip(a)]. 5804 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(2920(a,1),5794(a,1,2)),flip(a)]. 5805 K(x,T(y,y \ 1) * z) = K(x,y * z). [para(3028(a,1),5794(a,1,2))]. 5807 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(3097(a,1),5794(a,1,2))]. 5808 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(3194(a,1),5794(a,1,2))]. 5809 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(4967(a,2),5794(a,1,2))]. 5812 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4950(a,2),5796(a,1,2))]. 5814 K(x,T(y * K(z,z \ 1),u)) = K(x,T(y,u)). [para(5075(a,2),5797(a,1,2))]. 5816 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(4985(a,1),5800(a,1,2))]. 5817 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(5001(a,1),5800(a,1,2))]. 5819 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(23,a,5265,a,b,5298,a),flip(a)]. 5820 T(x * K(x * y,x),y) = R(x,y,x). [hyper(23,a,4475,a,b,5298,a)]. 5821 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(23,a,1957,a,b,5298,a)]. 5823 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(5820(a,1),43(a,1,1)),flip(a)]. 5824 T(x * K(y \ x,x),y \ 1) = R(x,y \ 1,x). [para(5734(a,1),5820(a,1,1,2))]. 5825 T(x * K(y \ x,x),y \ 1) = R(x,x \ (y \ x),x). [hyper(255,a,4742,a,b,5299,a)]. 5826 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(80,a,5299,a,b,5217,a(flip))]. 5827 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(5299(a,2),5180(a,2,1)),flip(a)]. 5828 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(5299(a,2),5458(a,1))]. 5829 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(5337(a,1),5264(a,1))]. 5830 T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. [para(4569(a,1),5829(a,1))]. 5831 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(4602(a,2),5829(a,1))]. 5832 L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. [para(4585(a,2),5829(a,1))]. 5836 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(3053(a,1),5388(a,1,2))]. 5838 x * (y * K(z,y)) != u | u / ((z * y) / z) = x. [para(5421(a,1),96(a,1))]. 5839 x \ (y * T(y \ x,x)) = K((1 / y) * x,x). [hyper(930,a,5424,a)]. 5841 x \ T(x * y,y) = y * K(y * x,y). [hyper(23,a,5025,a,b,5435,a),flip(a)]. 5842 K(x,y * x) = K(x,x * y). [hyper(5456,a,5454,a)]. 5845 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(100(a,1),5842(a,2,2))]. 5846 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(19(a,1),5537(a,1,1,1)),flip(a)]. 5849 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(5217(a,1),5537(a,1,1))]. 5850 x * (K(x,y) * T(z,x)) = K(x,y) * (z * x). [hyper(255,a,5220,a,b,5538,a),flip(a)]. 5853 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(255,a,3323,a(flip),b,5558,a)]. 5854 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5558(a,2),3335(a,1))]. 5855 K(x,y) * (y * z) = ((x * y) / x) * z. [para(18(a,1),5561(a,1,2)),flip(a)]. 5858 ((x * y) / x) * z = y * (K(x,y) * z). [para(5562(a,1),19(a,1,2)),flip(a)]. 5859 x \ ((y / (y / x)) * z) = K(x \ y,x) * z. [para(4524(a,1),5562(a,1,2,1))]. 5860 T(x,x \ (y * x)) / ((y * x) \ x) = x * y. [para(20(a,1),5638(a,2,2))]. 5862 (K(x,y) / (1 / y)) * x = x * (1 / (1 / y)). [para(5640(a,1),127(a,1,2)),flip(a)]. 5865 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(255,a,2075,a,b,5682,a)]. 5868 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5683(a,1),122(a,2,1))]. 5869 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(5683(a,1),310(a,1))]. 5871 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5683(a,1),424(a,1,1))]. 5874 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(925(a,1),5688(a,1,2))]. 5875 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [hyper(605,a,5697,a)]. 5877 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(19(a,1),5737(a,1,2,1,1))]. 5879 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(4040,a,5739,a),flip(a)]. 5881 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(255,a,3911,a,b,5879,a(flip)),flip(a)]. 5882 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). [hyper(80,a,5879,a(flip),b,3911,a)]. 5883 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(1138(a,1),5744(a,1,2))]. 5884 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1743(a,1),5744(a,1,2))]. 5885 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(5190(a,2),5745(a,1,2))]. 5888 K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). [para(5699(a,1),5754(a,1,1,1,1))]. 5889 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(189(a,1),5762(a,1,1,2))]. 5890 K(x,(y \ 1) \ x) = K(x,x * y). [hyper(255,a,5780,a(flip),b,5798,a(flip)),flip(a)]. 5891 K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u). [hyper(255,a,5763,a,b,5799,a)]. 5892 K(x,(1 / x) * y) * y = x * (y / x). [para(5807(a,2),5589(a,1,1))]. 5893 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(3435(a,2),5808(a,1,2,1))]. 5894 K(x * y,y) = K(y * x,y). [hyper(22,a,5424,a(flip),b,5841,a(flip)),flip(a)]. 5895 K((x \ 1) \ y,y) = K(x * y,y). [hyper(255,a,5742,a,b,5894,a),flip(a)]. 5896 K((1 / x) * y,y) = K(x \ y,y). [hyper(255,a,5740,a(flip),b,5894,a)]. 5897 ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). [para(5895(a,1),5252(a,2,2)),flip(a)]. 5898 (x / (K(y,z) * T(y,u))) \ x = K(y,u) * T(y,z). [hyper(255,a,73,a,b,5853,a),flip(a)]. 5899 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5853(a,1),24(a,1))]. 5900 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(19(a,1),5855(a,2,1,1))]. 5901 (x * K(y,x)) * z = K(y,x) * (x * z). [para(5217(a,1),5855(a,2,1)),flip(a)]. 5902 (K(x,y) * y) * z = K(x,y) * (y * z). [para(5267(a,1),5855(a,2,1)),flip(a)]. 5903 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(19(a,1),5858(a,1,1,1)),flip(a)]. 5904 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(5858(a,1),774(a,1,1))]. 5905 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(4524(a,1),5858(a,1,1))]. 5906 (x * K(y,x)) * z = x * (K(y,x) * z). [para(5217(a,1),5858(a,1,1))]. 5908 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(4506(a,1),5865(a,1,2)),flip(a)]. 5909 L(x,y,K(z,y)) = x. [hyper(22,a,3156,a,b,5901,a),flip(a)]. 5910 L(x,T(y,z),K(z,y)) = x. [para(4195(a,1),5909(a,1,3))]. 5911 R(K(x,y),y,z) = K(x,y). [hyper(5091,a,5902,a)]. 5912 R(x,K(y,x),z) = x. [hyper(5091,a,5906,a)]. 5913 L(x,K(y,z),z) = x. [hyper(422,a,5906,a)]. 5914 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(5906(a,1),33(a,2,1)),flip(a)]. 5915 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(5912(a,1),459(a,1,1,1)),flip(a)]. 5916 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(5912(a,1),461(a,1,1,1)),flip(a)]. 5918 (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. [para(5913(a,1),224(a,1,2))]. 5927 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(255,a,4082,a(flip),b,5419,a(flip)),flip(a)]. 5928 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(5927(a,1),1721(a,1,1,2))]. 5929 L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2654(a,1),5488(a,1))]. 5931 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(4192(a,2),5507(a,1))]. 5933 T(x,y) * K(x,z) != u | K(x,y) * T(x,z) = u. [para(5186(a,2),5593(a,1,2))]. 5934 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5556(a,1),5593(a,1,2))]. 5935 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(19(a,1),5634(a,1,2))]. 5936 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(127(a,1),5634(a,1,2))]. 5937 K(x,y) * (((z * x) / z) * u) != w | T(x,y) * (K(z,x) * u) = w. [para(5858(a,2),5634(a,1,2))]. 5939 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(2346(a,1),5678(a,1,2))]. 5940 T(x,y) * z != u | x * (K(x,y) * z) = u. [para(5608(a,1),5678(a,1,2))]. 5942 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(255,a,5682,a(flip),b,5709,a(flip)),flip(a)]. 5944 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(2076,a,5724,a)]. 5945 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(5726(a,1),2076(a,1))]. 5946 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5894(a,2),5726(a,1,2))]. 5956 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(19(a,1),5942(a,1,1,1)),flip(a)]. 5957 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5942(a,1),2081(a,1))]. 5958 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(5894(a,2),5942(a,1,1))]. 5960 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(5170(a,1),4800(a,1,1,1))]. 5961 K((x \ (y \ x)) \ 1,z) = T(K(y,z),x). [para(5177(a,2),5185(a,1,1)),flip(a)]. 5962 T(K(x / y,z),x) = K((x \ y) \ 1,z). [para(73(a,1),5961(a,1,1,1,2)),flip(a)]. 5963 T(K(x / y,z),x) \ 1 = K(z,(x \ y) \ 1). [para(5962(a,2),5381(a,1,1))]. 5965 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(5489,a,5223,a)]. 5966 T(K(x \ 1,y),z) != u | K(T(x,z) \ 1,y) = u. [para(5223(a,1),5489(a,1))]. 5967 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(73(a,1),5965(a,2,1,1))]. 5968 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3312(a,1),5965(a,2,1))]. 5970 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). [para(5968(a,1),5394(a,1,2)),flip(a)]. 5971 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(5186(a,2),5244(a,1,1)),flip(a)]. 5974 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(73(a,1),5971(a,2,1,2))]. 5975 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(5971(a,2),127(a,1,2))]. 5976 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(3702(a,1),5971(a,2,1))]. 5978 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(5971(a,1),5255(a,1,2))]. 5981 K(x,R(T(K(x,y),z),u,w)) = 1. [para(5974(a,1),3339(a,1,2,1))]. 5982 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(5731(a,1),5974(a,1,2))]. 5984 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(23,a,5265,a,b,5300,a),flip(a)]. 5986 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(23,a,5265,a,b,5301,a),flip(a)]. 5987 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(5649(a,1),5305(a,1,1,2))]. 5988 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(5987(a,1),127(a,1,2)),flip(a)]. 5989 K(x,T(y,z)) * K(y \ 1,y) = (T(T(y,z),x) \ 1) * T(y,z). [para(3181(a,1),5408(a,1,2))]. 5990 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(255,a,2310,a(flip),b,5418,a),flip(a)]. 5991 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(81,a,5431,a,b,5267,a(flip))]. 5992 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(5431(a,2),5180(a,2,1)),flip(a)]. 5994 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(80,a,5432,a,b,5217,a(flip))]. 5995 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(5432(a,2),4526(a,1,1))]. 5996 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(5432(a,2),5180(a,2,1)),flip(a)]. 5998 K((x / y) \ 1,z) = K(y / x,z). [hyper(255,a,5233,a(flip),b,5512,a(flip))]. 6001 R(K(x / y,z),x / y,u) = K((y / x) \ 1,z). [hyper(255,a,4395,a,b,5998,a),flip(a)]. 6002 K((x / y) \ 1,x) = K(x \ y,x). [hyper(255,a,5376,a(flip),b,5998,a)]. 6007 K((x / y) \ 1,x) != z | K(x \ y,x) = z. [para(5998(a,2),5665(a,1))]. 6008 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(255,a,4683,a(flip),b,6002,a)]. 6009 K(x \ (y \ x),x) = K(y \ 1,x). [para(70(a,1),6002(a,1,1,1)),flip(a)]. 6014 x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y). [para(1138(a,1),5513(a,1,2))]. 6015 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1743(a,1),5513(a,1,2))]. 6016 T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). [para(2323(a,1),5513(a,1,2))]. 6017 (((x * y) \ x) \ x) * K(y \ 1,x * y) = x * y. [para(5514(a,1),5203(a,1,2))]. 6018 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(958,a,5515,a)]. 6019 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(849,a,5515,a),flip(a)]. 6020 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(661,a,5515,a),flip(a)]. 6021 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(255,a,1138,a(flip),b,5515,a(flip)),flip(a)]. 6023 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [para(5515(a,1),2010(a,2,1)),flip(a)]. 6024 T(x * y,z) / y = K(((1 / y) / x) \ 1,z) * x. [hyper(255,a,935,a(flip),b,5517,a),flip(a)]. 6025 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(255,a,925,a(flip),b,5517,a)]. 6026 x \ (y * T(y \ x,x)) = K((y / x) \ 1,x). [hyper(80,a,5517,a(flip),b,3141,a(flip))]. 6027 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(18(a,1),5517(a,2,2,1))]. 6028 (x \ K(x,y)) * x = (x \ 1) * T(x,y). [hyper(255,a,5451,a(flip),b,5533,a(flip))]. 6029 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(3165,a,5567,a)]. 6031 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [para(5641(a,1),43(a,1,1)),flip(a)]. 6032 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(81,a,4178,a,b,5660,a)]. 6036 (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. [hyper(255,a,3175,a(flip),b,5732,a(flip)),flip(a)]. 6038 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(3344(a,1),5758(a,1,1,2))]. 6039 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(3993(a,1),5759(a,1,1))]. 6041 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(5002(a,1),5764(a,1,1,1))]. 6042 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2821(a,1),5809(a,1,2,1)),flip(a)]. 6043 K(x,(y * (z / (1 / u))) \ w) = K(x,(y * (z / (u \ 1))) \ w). [para(4991(a,1),5812(a,1,2,1)),flip(a)]. 6045 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(3097(a,1),5814(a,1,2,1))]. 6046 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5819(a,1),222(a,1,2)),flip(b)]. 6049 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5894(a,1),5826(a,1,2,1,2))]. 6050 T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). [para(5515(a,2),5826(a,1,2,1))]. 6052 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5819(a,1),5827(a,1,1,1))]. 6053 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(5622,a,5846,a)]. 6055 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(37(a,2),5846(a,1,2))]. 6059 T(x,T(y,x)) / ((y * x) \ x) = x * y. [para(37(a,2),5860(a,1,1,2))]. 6060 T(x,y) / ((y * x) \ x) = x * y. [para(4446(a,1),6059(a,1,1))]. 6061 T(x,y) = (x * y) * ((y * x) \ x). [para(6060(a,1),21(a,1,1)),flip(a)]. 6062 (x * y) \ T(x,y) = (y * x) \ x. [para(6060(a,1),73(a,1,1))]. 6064 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(80,a,6061,a,b,99,a(flip)),flip(a)]. 6065 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(255,a,4779,a,b,6062,a(flip)),flip(a)]. 6075 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(22,a,3996,a,b,5881,a),flip(a)]. 6076 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * x. [para(5882(a,1),4911(a,1,1)),flip(a)]. 6080 K(x / y,(x / y) \ x) * z = y \ ((x / (x / y)) * z). [hyper(284,a,5903,a),flip(a)]. 6082 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(5272(a,1),5903(a,1,2))]. 6085 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(255,a,5976,a(flip),b,5970,a(flip))]. 6086 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(6085(a,1),73(a,1,1))]. 6087 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [para(6085(a,1),5183(a,2,1)),flip(a)]. 6088 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(255,a,5963,a(flip),b,6086,a(flip))]. 6089 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [para(6086(a,1),193(a,1,2)),flip(a)]. 6090 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(6086(a,1),5184(a,2,2)),flip(a)]. 6091 L(T(K(x,y),z),K(y,x),z) = (K(y,x) * z) \ z. [para(6086(a,1),6065(a,1,1))]. 6092 K(K(x,y),z) = K(z,K(y,x)). [hyper(255,a,5455,a(flip),b,6087,a(flip)),flip(a)]. 6093 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(5624,a,6092,a)]. 6094 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(6092(a,1),5252(a,2,2)),flip(a)]. 6095 x * K(K(y,z),x) = T(x,K(z,y)). [para(6092(a,2),5252(a,2,2)),flip(a)]. 6096 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(6092(a,1),5263(a,2,1)),flip(a)]. 6097 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(6092(a,1),5384(a,1,1))]. 6098 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(6092(a,1),5272(a,1,1))]. 6099 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(6093(a,1),5384(a,1))]. 6100 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(5657,a,6095,a),flip(a)]. 6101 T(T(x,K(y,z)),K(z,y)) = x. [hyper(255,a,5266,a(flip),b,6095,a(flip))]. 6102 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(6095(a,1),5265(a,1,1))]. 6105 T(K(x,y),K(z,y)) = K(x,y). [para(2072(a,1),6101(a,1,1))]. 6106 T(K(x,y),K(x,z)) = K(x,y). [para(2074(a,1),6101(a,1,1))]. 6107 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(80,a,6105,a(flip),b,5607,a)]. 6108 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(6105(a,1),127(a,1,2))]. 6110 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(6106(a,1),127(a,1,2))]. 6112 T(K(x,y),y * z) = K(x,((y * z) \ z) \ 1). [para(20(a,1),6088(a,1,1,2))]. 6113 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(6088(a,1),127(a,1,2))]. 6116 K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. [para(6094(a,1),5612(a,1,2)),flip(b)]. 6117 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(5275,a,6107,a)]. 6118 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(5935,a,6110,a)]. 6119 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(5381(a,1),6097(a,1))]. 6120 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(5455(a,2),6119(a,1))]. 6121 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(129(a,1),5975(a,1,2,2,1)),flip(a)]. 6123 K(x,y) / (1 / y) = 1 / (K(y,x) / y). [hyper(23,a,5862,a,b,5988,a),flip(a)]. 6124 ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). [para(5217(a,1),5990(a,1,1,1))]. 6125 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(5360(a,1),5990(a,1,1))]. 6126 K((x / y) \ 1,y) = K((1 / x) * y,y). [hyper(255,a,5839,a(flip),b,6026,a(flip))]. 6127 K((x / y) \ 1,y) = K(x \ y,y). [hyper(255,a,5896,a(flip),b,6126,a)]. 6128 K(x / y,x) = K(y \ x,x). [hyper(255,a,5998,a(flip),b,6127,a(flip)),flip(a)]. 6129 K((x \ y) \ y,y) = K(x,y). [para(70(a,1),6128(a,1,1)),flip(a)]. 6131 L(x * K(y,x),x \ 1,x) = x * ((T(x,y) \ 1) * x). [para(6036(a,1),190(a,1,2)),flip(a)]. 6132 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(87,a,6075,a)]. 6133 K(x,y) * K(y,((x * z) \ z) \ 1) = K(x * z,K(x,y)). [para(6112(a,1),6090(a,1,2))]. 6134 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(6117(a,1),4307(a,2,3))]. 6135 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(255,a,5098,a(flip),b,6132,a(flip)),flip(a)]. 6136 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(255,a,5097,a(flip),b,6132,a(flip)),flip(a)]. 6137 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(6135(a,1),5890(a,1,2,1))]. 6140 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(4039(a,1),5196(a,1,1,1)),flip(a)]. 6142 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(4039(a,1),5254(a,1,2,1)),flip(a)]. 6144 L(K(x,y) * K(z,y),K(y,z),K(y,x)) = (K(y,x) * K(y,z)) \ 1. [para(6107(a,1),5396(a,1,1))]. 6145 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(5440(a,2),4550(a,1,1))]. 6146 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(5512(a,1),5493(a,1))]. 6147 K(x \ 1,y) != z | K(1 / x,y) = z. [para(68(a,1),6146(a,1,1,1))]. 6152 K(x \ R(x,y,z),x) = (x \ K(x,R(x \ 1,u,w))) * x. [para(3922(a,2),5704(a,2,1,2))]. 6155 T(x,K(y,y \ 1)) != z | z = x. [para(5607(a,1),5713(a,1))]. 6157 T(x / y,y) != z | y \ x = z. [para(1386(a,1),6155(a,1)),flip(b)]. 6159 T(x,x \ y) != z | (x \ y) \ y = z. [para(70(a,1),6157(a,1,1))]. 6165 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(47(a,2),6159(a,1))]. 6170 T(x,T(1 / y,z) \ x) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(3314(a,1),5725(a,1,2))]. 6171 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(255,a,47,a,b,5823,a)]. 6172 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5836(a,1),5892(a,1,1))]. 6179 ((x * y) / x) * z != u | y * (K(x,y) * z) = u. [para(5217(a,2),5918(a,1,1))]. 6183 x \ K(x * y,x \ 1) = y / (y / (x \ 1)). [para(4686(a,1),5164(a,1,2))]. 6184 (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). [para(6183(a,2),73(a,1,1))]. 6185 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(5186(a,2),5234(a,1,1))]. 6187 K(x,L(x,y,z) \ 1) = K(x,x \ 1). [hyper(255,a,4960,a(flip),b,6185,a(flip))]. 6188 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (1 / x) * (L(x,y,z) \ x). [hyper(80,a,6185,a(flip),b,3824,a)]. 6189 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(73(a,1),6185(a,1,1,2)),flip(a)]. 6190 (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). [para(6185(a,1),112(a,1,2))]. 6191 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3702(a,1),6185(a,1,1)),flip(a)]. 6192 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(6187(a,2),4964(a,1,2))]. 6193 T(x,L(x,y,z) \ 1) = K(x,x \ 1) * x. [para(6187(a,1),5263(a,2,1))]. 6194 K(x,T(y,L(y,z,u) \ 1)) = K(x,y). [para(6193(a,2),5797(a,1,2))]. 6195 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(342(a,1),6191(a,1,2,1)),flip(a)]. 6197 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [para(5357(a,1),21(a,1,1))]. 6198 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(255,a,6117,a(flip),b,5420,a)]. 6199 ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(6198(a,1),113(a,1,2,2,1))]. 6200 (x * y) / (y * K(z,y)) = (x / (y * K(z,y))) * y. [para(5217(a,1),5438(a,1,2))]. 6201 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(5438(a,1),6157(a,1,1))]. 6202 a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). [hyper(255,a,3807,a,b,5510,a(flip)),flip(a)]. 6204 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(5187(a,1),5510(a,1,1))]. 6205 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(5240(a,2),5510(a,1,1)),flip(a)]. 6207 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(6204(a,1),122(a,1,1))]. 6208 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(123(a,1),6204(a,2,1,1))]. 6209 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3312(a,1),6204(a,1,1)),flip(a)]. 6211 K(x,R(1 / y,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(6205(a,1),5381(a,1,1)),flip(a)]. 6212 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(6205(a,1),6204(a,1,1)),flip(a)]. 6213 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(6209(a,1),5600(a,1,1)),flip(a)]. 6214 (x * y) * z != x * T(y,u) | K(((x * y) \ x) \ 1,u) = z. [para(5516(a,1),24(a,1)),flip(a)]. 6215 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(255,a,1749,a(flip),b,5519,a(flip)),flip(a)]. 6216 (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). [para(73(a,1),5519(a,1,2,2,1,2))]. 6217 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(127(a,1),5519(a,1,2))]. 6218 x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). [para(848(a,1),5519(a,1,2))]. 6222 K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y). [para(3606(a,1),5525(a,2,2,1))]. 6223 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(848(a,1),5526(a,1,2))]. 6224 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5525(a,2),5526(a,1,2))]. 6225 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(255,a,5998,a,b,5563,a(flip)),flip(a)]. 6227 (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). [hyper(5489,a,5666,a),flip(a)]. 6228 K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). [hyper(255,a,3479,a,b,6227,a(flip)),flip(a)]. 6229 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(20(a,1),6228(a,1,2,2))]. 6230 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(6147,a,6229,a)]. 6231 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [para(6230(a,1),5472(a,1,2)),flip(a)]. 6233 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1332(a,1),5770(a,1,1))]. 6234 T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). [para(2425(a,1),5770(a,1,1))]. 6236 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(5057(a,1),5883(a,1,2))]. 6237 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(5069(a,1),5884(a,1,2))]. 6238 R(K(x,y),x,z) != u | K(x,y) = u. [para(4373(a,2),5931(a,1))]. 6239 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(5199,a,6017,a)]. 6240 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [para(162(a,2),6239(a,2,1)),flip(a)]. 6241 x / T(x * y,y \ 1) = L(y \ 1,y,x). [para(6240(a,1),70(a,1,2))]. 6242 T(x,x \ T(x * y,y \ 1)) = T(x,L(y \ 1,y,x) \ 1). [para(6240(a,1),4409(a,1,2,2))]. 6243 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(5073(a,1),6241(a,1,2))]. 6244 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(6018(a,1),19(a,1,2))]. 6245 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [para(21(a,1),6024(a,1,1,1)),flip(a)]. 6247 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(5155(a,1),6045(a,1,2,1)),flip(a)]. 6250 K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). [para(5360(a,1),6121(a,1,1,2))]. 6252 ((x * K(y,z)) / (z * K(y,z))) * z = R(x,K(y,z),z). [hyper(3160,a,6200,a),flip(a)]. 6256 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(73(a,1),6224(a,1,2,1,1))]. 6257 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3312(a,1),6224(a,1,2,1))]. 6258 x * K((1 / y) \ 1,x * (1 / y)) = y * (x / y). [hyper(255,a,3220,a(flip),b,6231,a(flip))]. 6260 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5381(a,1),6244(a,1,2,2,1,1,2))]. 6261 x * K(y,x * (1 / y)) = y * (x / y). [para(73(a,1),6258(a,1,2,1))]. 6262 K(x,y * (1 / x)) = K(x,x \ y). [hyper(22,a,5472,a,b,6261,a)]. 6265 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [para(70(a,1),6262(a,1,2,2)),flip(a)]. 6266 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(6262(a,1),5394(a,1,2)),flip(a)]. 6268 K(x * (1 / y),y) = K(y \ x,y). [hyper(255,a,5394,a(flip),b,6266,a)]. 6271 K(x * (y \ 1),y) = K(y \ x,y). [hyper(255,a,5752,a(flip),b,6268,a(flip)),flip(a)]. 6272 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(70(a,1),6268(a,1,1,2)),flip(a)]. 6273 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [hyper(255,a,5379,a(flip),b,6271,a(flip)),flip(a)]. 6282 K(R(x,y,y \ 1),y) = K(x,y). [hyper(255,a,615,a(flip),b,6273,a)]. 6284 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(255,a,4691,a(flip),b,6265,a(flip))]. 6285 x * T(x \ 1,y * x) = K(x \ 1,x * y). [hyper(5316,a,6284,a)]. 6286 K((1 / x) \ y,x \ 1) = K(y * x,x \ 1). [hyper(255,a,5755,a,b,6272,a(flip)),flip(a)]. 6287 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(255,a,4686,a(flip),b,6272,a(flip))]. 6288 K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). [para(6287(a,1),5982(a,1,2,2))]. 6289 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(22,a,5187,a,b,6285,a)]. 6290 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(255,a,4599,a(flip),b,6289,a)]. 6291 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). [para(6289(a,1),2185(a,1,2,1,1))]. 6292 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). [para(6289(a,2),2185(a,1,1))]. 6293 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(19(a,1),6290(a,1,2))]. 6298 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(255,a,5982,a(flip),b,6288,a(flip))]. 6299 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6298(a,2),5455(a,1,1))]. 6300 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(6120,a,6299,a),flip(a)]. 6301 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(6119,a,6300,a),flip(a)]. 6302 (x / (x / y)) \ L(y,y \ x,y) = K((x / y) \ x,x). [hyper(255,a,6128,a(flip),b,5277,a)]. 6303 T((x * K(y,z)) \ x,x) = (K(y,z) * x) \ x. [hyper(255,a,6091,a(flip),b,5397,a)]. 6304 L(x * K(y,x),x \ 1,x) = K(y,x) / (1 / x). [hyper(255,a,5445,a,b,5437,a)]. 6306 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5600(a,1),5615(a,1,1))]. 6307 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(255,a,4721,a(flip),b,5616,a(flip))]. 6310 R(x,x \ (y \ x),x) = R(x,y \ 1,x). [hyper(255,a,5824,a(flip),b,5825,a(flip))]. 6311 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(22,a,5104,a(flip),b,5984,a)]. 6313 K(L(x,y,z) \ 1,x) = K(x \ 1,L(x,u,w)). [hyper(255,a,4933,a,b,6311,a),flip(a)]. 6314 L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x). [para(6311(a,2),2694(a,1,1))]. 6322 x * ((T(x,y) \ 1) * x) = K(y,x) / (1 / x). [hyper(255,a,6304,a(flip),b,6131,a(flip))]. 6323 x \ (1 / (K(x,y) / x)) = (T(x,y) \ 1) * x. [hyper(80,a,6123,a(flip),b,6322,a)]. 6324 x \ (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [para(5362(a,1),6323(a,1,2,2))]. 6325 T(x,y) \ (1 / (1 / T((z * x) / z,y))) = (T(T(x,y),z) \ 1) * T(x,y). [para(404(a,1),6324(a,1,2,2,2))]. 6326 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(20(a,1),6172(a,2,2))]. 6327 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(5176,a,6326,a),flip(a)]. 6328 T(1 / L(x,y,z),x) = L(x,y,z) \ 1. [para(6192(a,1),5307(a,1,1))]. 6330 (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(6202(a,1),634(a,1,2))]. 6331 R(x * y,K(z,y),y) = R(x,y,K(z,y)) * y. [para(35(a,2),6252(a,1,1)),flip(a)]. 6332 R(x * y,K(z,y),y) != u * y | R(x,y,K(z,y)) = u. [para(6331(a,2),25(a,1))]. 6333 K(x,y) = (y / (y / x)) \ L(x,x \ y,x). [hyper(255,a,616,a(flip),b,6302,a),flip(a)]. 6336 K(L(x,y,z) \ 1,L(x,y,z)) = K(L(x,y,z) \ 1,x). [hyper(3630,a,6314,a)]. 6337 K(L(x,y,z) \ 1,L(x,y,z)) = K(x \ 1,L(x,u,w)). [hyper(255,a,6313,a(flip),b,6336,a)]. 6339 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(6337(a,1),2306(a,1,1))]. 6340 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(6337(a,1),2862(a,1,1))]. 6341 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(255,a,2515,a(flip),b,5363,a)]. 6342 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3968,a,6341,a)]. 6343 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [hyper(255,a,6124,a(flip),b,5404,a)]. 6344 T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(6110(a,1),5404(a,2,1,1))]. 6345 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(47(a,2),5518(a,2,2))]. 6346 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(5187(a,1),5528(a,1,1,2))]. 6349 (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. [hyper(87,a,6346,a)]. 6350 ((x * y) * K(y \ 1,z)) / (K(y \ 1,z) * y) = R(x,K(y \ 1,z),y). [hyper(81,a,6346,a(flip),b,122,a)]. 6353 R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). [para(6349(a,1),1061(a,1,1)),flip(a)]. 6354 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(255,a,4556,a(flip),b,5594,a)]. 6355 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(255,a,4557,a(flip),b,5595,a)]. 6358 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(5238(a,1),5769(a,1,1))]. 6359 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(6238,a,6358,a),flip(a)]. 6360 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(255,a,3994,a(flip),b,6358,a(flip))]. 6361 K(x,R(1 / y,z,u) \ 1) = R(K(x,y),z,u). [para(73(a,1),6358(a,1,1,2)),flip(a)]. 6362 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3702(a,1),6358(a,1,1)),flip(a)]. 6363 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5786(a,1),6358(a,1,1)),flip(a)]. 6364 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(51(a,1),6359(a,1,2,1))]. 6365 K(x \ R(x,y,z),x) = (x \ K(x,R(x,u,w) \ 1)) * x. [para(6360(a,2),5704(a,2,1,2))]. 6366 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(255,a,6211,a(flip),b,6361,a(flip)),flip(a)]. 6367 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(817,a,6366,a),flip(a)]. 6368 (R(K(x,y),z,u) \ K(R(K(x,y),z,u) * w,R(K(y,x),z,u))) \ w = w / (R(K(x,y),z,u) \ 1). [para(6366(a,1),6184(a,1,1,2,2))]. 6369 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(6362(a,1),5252(a,2,2))]. 6370 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(255,a,5791,a(flip),b,6363,a(flip))]. 6372 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(450(a,1),6363(a,1,2)),flip(a)]. 6373 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(21(a,1),6370(a,2,2,1))]. 6374 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(21(a,1),6370(a,2,2,2))]. 6375 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(70(a,1),6370(a,1,1,2)),flip(a)]. 6376 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(5583(a,1),6374(a,1,1))]. 6377 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(120(a,2),6375(a,1,2))]. 6378 R(K(x,y),T(y,z),u) = K(x,y). [para(4340(a,1),6375(a,1,2)),flip(a)]. 6379 (K(x,y) * T(y,z)) \ K(x,y) = T(y,z) \ 1. [hyper(80,a,6378,a(flip),b,193,a)]. 6380 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(6378(a,1),122(a,1,1)),flip(a)]. 6381 K(x,R(y,T(y,x) \ z,u)) = R(K(x,T(y,x)),z,u). [hyper(5504,a,6377,a)]. 6382 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(18(a,1),6377(a,1,2,2)),flip(a)]. 6383 R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). [para(37(a,2),6377(a,1,2,2)),flip(a)]. 6384 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(149(a,1),6377(a,1,2,2)),flip(a)]. 6385 R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). [para(5556(a,1),6377(a,1,2,2)),flip(a)]. 6386 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(6238,a,6382,a),flip(a)]. 6387 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(255,a,6204,a(flip),b,6382,a(flip)),flip(a)]. 6388 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6382(a,1),47(a,2,1))]. 6389 R(x,y,x) \ K(x * y,x) = T(x,y) \ 1. [para(5541(a,1),6379(a,1,1))]. 6390 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(6238,a,6376,a),flip(a)]. 6391 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(255,a,5786,a,b,6376,a)]. 6392 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(6376(a,1),6238(a,1))]. 6394 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1836(a,1),6390(a,1,2)),flip(a)]. 6395 L(x,T(y,z),K(u,y)) = x. [hyper(422,a,6380,a)]. 6396 K(x,R(y,T(y,x) \ z,u)) = R(K(x,y),z,u). [para(5373(a,1),6381(a,2,1))]. 6397 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(482(a,1),6364(a,1,2,1)),flip(a)]. 6399 R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1). [para(20(a,1),6391(a,1,1,2,1))]. 6400 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(6391(a,1),47(a,2,1))]. 6401 R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1). [para(21(a,1),6399(a,2,2,1,2))]. 6402 x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). [para(19(a,1),5772(a,1,2,2,1))]. 6403 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(5402(a,1),5888(a,1,1,1)),flip(a)]. 6404 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(3146(a,1),5916(a,1,1))]. 6405 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(4065(a,1),6015(a,1,2)),flip(a)]. 6406 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(5072,a,6021,a),flip(a)]. 6408 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(6046,a,6049,a),flip(a)]. 6409 K(x / y,(x / y) \ x) = K(y \ x,y). [hyper(23,a,5859,a(flip),b,6080,a)]. 6412 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(6140(a,2),157(a,1))]. 6413 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(255,a,60,a(flip),b,6142,a)]. 6415 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x \ 1,u,w)). [hyper(255,a,6028,a(flip),b,6152,a)]. 6416 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6362(a,1),6213(a,1,1)),flip(a)]. 6417 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(541,a,6416,a)]. 6418 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(510,a,6416,a)]. 6420 ((x \ 1) * y) / ((x \ K(x,z)) * y) = R(K(z,x),x \ 1,y). [para(3605(a,1),6417(a,1,2,1))]. 6421 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(255,a,5572,a(flip),b,6215,a(flip))]. 6422 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5515(a,1),6215(a,1,1))]. 6424 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(848(a,1),6216(a,1,2)),flip(a)]. 6425 K(x \ y,y) / (y \ T(y * (x \ 1),y)) = x. [hyper(81,a,6421,a(flip),b,6218,a)]. 6426 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6425(a,1),148(a,1,2,1))]. 6427 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6426(a,1),1980(a,2,2,1))]. 6429 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(255,a,6236,a(flip),b,6237,a(flip))]. 6430 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(96,a,6245,a),flip(a)]. 6431 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(18(a,1),6250(a,2,2,2,1))]. 6434 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(81,a,6342,a(flip),b,2899,a)]. 6435 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x,u,w) \ 1). [hyper(255,a,6028,a(flip),b,6365,a)]. 6436 R(K(x,y),K(x,y) * z,u) = R(K(x,y),z,u). [hyper(255,a,6396,a(flip),b,6385,a)]. 6437 R(K(x,y),y \ K(y,x),z) = R(K(x,y),y \ 1,z). [para(5603(a,1),6436(a,1,2)),flip(a)]. 6438 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = ((((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z)) * (x \ 1)) * z. [para(6437(a,2),1882(a,2,2,1)),flip(a)]. 6439 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(5132(a,1),6394(a,1,2,1))]. 6440 R(x,y,z) * (K(u,x) * w) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5. [para(6404(a,1),454(a,1))]. 6443 T(x,R(x \ 1,y,z)) = T(x,R(x,u,w) \ 1). [hyper(22,a,6415,a(flip),b,6435,a(flip)),flip(a)]. 6444 T(x,R(x,y,z) \ 1) = T(x,x \ 1). [hyper(255,a,4165,a(flip),b,6443,a(flip))]. 6445 (R(x,y,z) \ 1) * T(x,x \ 1) = R(x,y,z) \ x. [para(6444(a,1),1312(a,1,2))]. 6446 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = R(x,y,z) \ x. [hyper(255,a,274,a(flip),b,6445,a(flip)),flip(a)]. 6448 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(255,a,6076,a(flip),b,6446,a(flip)),flip(a)]. 6449 T(1 / R(x,y,z),x) = R(x,y,z) \ 1. [hyper(172,a,6448,a,b,1308,a)]. 6450 x / R(x,y,z) = R(x,y,z) \ x. [hyper(255,a,1952,a(flip),b,6448,a(flip)),flip(a)]. 6452 (x / R(x,y,z)) * u = (R(x,y,z) \ x) * u. [hyper(27,a,6450,a)]. 6453 (R(x,y,z) \ x) * R(x,y,z) = x. [para(6450(a,1),21(a,1,1))]. 6454 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(6450(a,1),6370(a,1,1,2))]. 6455 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(6450(a,2),6137(a,1,2,1))]. 6456 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(6453(a,1),5011(a,1,1,1))]. 6457 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(255,a,5335,a,b,6456,a(flip)),flip(a)]. 6458 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(255,a,2189,a,b,5367,a(flip)),flip(a)]. 6459 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(5592(a,1),5613(a,1,2))]. 6460 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(255,a,6416,a(flip),b,5703,a(flip)),flip(a)]. 6462 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(255,a,6192,a(flip),b,5779,a(flip))]. 6464 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(6462(a,1),21(a,1,1))]. 6465 x / L(x,y,z) = L(x,y,z) \ x. [hyper(255,a,1837,a(flip),b,6464,a(flip)),flip(a)]. 6466 (L(x,y,z) \ x) \ x = L(x,y,z). [para(6465(a,1),73(a,1,1))]. 6468 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(5187(a,1),5929(a,1,1))]. 6470 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(6468,a,xx),flip(a)]. 6473 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1723(a,1),6470(a,1,1)),flip(a)]. 6475 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3312(a,1),6470(a,1,1)),flip(a)]. 6476 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(5381(a,1),6470(a,1,1,1)),flip(a)]. 6477 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5967(a,1),6470(a,1,1)),flip(a)]. 6479 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(6475(a,1),5381(a,1,1)),flip(a)]. 6480 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(6475(a,1),5600(a,1,1)),flip(a)]. 6483 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(255,a,6191,a(flip),b,6479,a(flip))]. 6484 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [para(6483(a,1),70(a,1,2))]. 6485 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(6483(a,1),303(a,1,2)),flip(b)]. 6486 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6484(a,1),219(a,1,1)),flip(b)]. 6488 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(6191(a,1),6480(a,1,1)),flip(a)]. 6489 x / (L(K(y,z),u,w) * x) = L(K(z,y),u,w). [hyper(416,a,6488,a)]. 6490 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(255,a,2077,a(flip),b,6488,a)]. 6491 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(222,a,6488,a)]. 6492 x / (L(K(y,z),u,w) * x) != v5 | L(K(z,y),u,w) = v5. [para(6488(a,1),303(a,1,2)),flip(b)]. 6493 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(6489(a,1),89(a,1,1)),flip(b)]. 6496 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(5169(a,1),5960(a,1,1)),flip(a)]. 6497 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(255,a,45,a,b,6496,a)]. 6498 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(6497(a,1),49(a,1,1)),flip(a)]. 6501 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(6002(a,1),6208(a,1,1))]. 6502 R(K(x \ (y / z),x),y / z,z) = K(((x * z) / y) \ 1,x). [para(21(a,1),6501(a,2,1,1,2))]. 6503 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(73(a,1),6243(a,1,2,2)),flip(a)]. 6505 (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). [hyper(80,a,6378,a(flip),b,6367,a(flip)),flip(a)]. 6506 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(5853(a,1),6505(a,1,1))]. 6509 R(K(x \ (y / z),x),y / z,z) != u | K(y / (x * z),x) = u. [para(6502(a,2),6146(a,1))]. 6510 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(5261(a,1),5399(a,1,2))]. 6511 T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. [para(5407(a,1),5940(a,1))]. 6512 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1955,a,5426,a),flip(a)]. 6513 (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). [para(5308(a,1),5460(a,1,2)),flip(a)]. 6514 (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). [para(1891(a,1),6513(a,2,2))]. 6518 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(255,a,6118,a(flip),b,5698,a)]. 6519 K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). [para(6518(a,1),3543(a,1,2))]. 6520 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(5547(a,1),5743(a,1,1,2)),flip(a)]. 6521 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [para(127(a,1),6019(a,2,2))]. 6523 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(529(a,1),6212(a,1,1,1)),flip(a)]. 6524 T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). [para(790(a,1),6234(a,1,1,1))]. 6525 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(73(a,1),6256(a,2,1,1))]. 6526 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(18(a,1),6525(a,1,2,2)),flip(a)]. 6528 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(80,a,6526,a,b,127,a)]. 6529 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3312(a,1),6257(a,2,1))]. 6531 K(x,y) * ((x \ 1) \ T(y,x)) = (x \ 1) \ y. [hyper(80,a,5207,a(flip),b,6529,a),flip(a)]. 6532 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(18(a,1),6529(a,1,2,2)),flip(a)]. 6533 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(37(a,2),6529(a,1,2,2))]. 6535 K(T(x,y),y) * ((T(x,y) \ 1) \ T(y,x)) = (T(x,y) \ 1) \ y. [para(4446(a,1),6531(a,1,2,2))]. 6536 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [para(127(a,1),6532(a,2,2))]. 6537 x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). [para(6532(a,2),190(a,1,2))]. 6539 ((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x). [para(6532(a,1),5605(a,1,2))]. 6540 ((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z) = K(y,x). [para(5608(a,1),6539(a,1,2,2))]. 6542 L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). [hyper(5668,a,6537,a),flip(a)]. 6543 T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). [para(5608(a,1),6542(a,1,1)),flip(a)]. 6544 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5515(a,2),6260(a,1,2))]. 6545 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(6020(a,1),6260(a,1,2)),flip(a)]. 6546 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(4621(a,1),6354(a,1,2))]. 6547 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(4621(a,1),6355(a,1,2))]. 6548 K((x \ (y / (z \ 1))) \ 1,y) = K((x \ (y * z)) \ 1,y). [hyper(255,a,6014,a(flip),b,6405,a)]. 6549 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(313,a,6422,a)]. 6550 ((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)). [hyper(255,a,6215,a,b,6424,a(flip)),flip(a)]. 6551 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(255,a,6090,a(flip),b,6510,a)]. 6552 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(5378(a,1),6512(a,1,2)),flip(a)]. 6553 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(255,a,5415,a(flip),b,6552,a)]. 6554 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(19(a,1),6553(a,1,1,1)),flip(a)]. 6555 (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(6519(a,1),3988(a,1,1)),flip(a)]. 6556 K(x,y) * ((T(x,y) \ 1) \ T(y,x)) = (T(x,y) \ 1) \ y. [para(5368(a,1),6535(a,1,1))]. 6557 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(87,a,6544,a)]. 6558 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6544(a,1),24(a,1))]. 6559 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6545(a,2),24(a,1))]. 6560 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6557(a,1),5025(a,1,1))]. 6561 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(18(a,1),6560(a,1,1,2,1)),flip(a)]. 6562 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6561(a,2),25(a,1))]. 6563 x * (y * ((z \ (y \ z)) * z)) = (x * K(y \ 1,z)) * z. [hyper(255,a,5118,a(flip),b,5530,a(flip)),flip(a)]. 6564 (x * K(y \ 1,z)) * z = x * (z * K(y \ 1,z)). [para(5224(a,1),6563(a,1,2)),flip(a)]. 6565 R(x,K(y \ 1,z),z) = x. [hyper(3159,a,6564,a)]. 6566 R(x,K(y,z),z) = x. [para(73(a,1),6565(a,1,2,1))]. 6567 R(x,y,K(z,y)) = x. [hyper(6332,a,6566,a)]. 6568 (x * K(y,z)) * z = x * (z * K(y,z)). [para(6566(a,1),3157(a,1,1)),flip(a)]. 6569 (x * y) * K(z,y) = x * (y * K(z,y)). [para(6567(a,1),122(a,1,1)),flip(a)]. 6570 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(87,a,6568,a)]. 6572 L(K(x,y),y,z) = K(x,y). [hyper(422,a,6569,a)]. 6573 (x * K(y,z)) * z = (x * z) * K(y,z). [hyper(255,a,6568,a,b,6569,a),flip(a)]. 6574 (x * y) * K(z,y) = x * ((z * y) / z). [hyper(255,a,5421,a,b,6569,a)]. 6576 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(5268(a,1),6569(a,2,2))]. 6577 L(K(x,y),y,z) = K(x,y * K(x,y)). [hyper(255,a,5392,a,b,6572,a)]. 6579 a(x,y,K(z,y)) = 1. [hyper(39,a,6572,a)]. 6580 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(255,a,6195,a(flip),b,6572,a(flip)),flip(a)]. 6581 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(6572(a,1),50(a,1,1)),flip(a)]. 6583 L(K(x,y),x,z) = K(y,x) \ 1. [para(6572(a,1),6483(a,1,1)),flip(a)]. 6584 a(x,T(y,z),K(z,y)) = 1. [para(4195(a,1),6579(a,1,3))]. 6585 L(K(x,y),T(y,x),z) = K(x,y). [hyper(38,a,6584,a)]. 6586 L(K(x,y),x,z) = K(x,y). [hyper(255,a,5381,a(flip),b,6583,a)]. 6587 L(K(x,y),x,z) != u | K(x,y) = u. [para(6583(a,2),5384(a,1))]. 6588 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(255,a,5256,a,b,6586,a(flip)),flip(a)]. 6589 x \ ((x / y) * T(y,z)) = K(y,z). [hyper(255,a,5260,a(flip),b,6586,a(flip)),flip(a)]. 6591 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(6586(a,1),495(a,1,2,1))]. 6594 (x * T(y,z)) \ (x * y) = K(z,y). [hyper(255,a,5202,a(flip),b,6585,a(flip)),flip(a)]. 6597 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [hyper(255,a,5381,a,b,6580,a)]. 6598 K((x \ y) \ 1,(y \ x) \ 1) = K(y \ x,x \ y). [hyper(255,a,2789,a(flip),b,6580,a)]. 6599 T(K(x,y / z),y) = K(x,z \ y). [hyper(255,a,6088,a,b,6580,a(flip)),flip(a)]. 6602 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(29(a,2),6580(a,1,2,1)),flip(a)]. 6604 K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). [para(114(a,2),6580(a,1,2,1))]. 6605 K(x,L(y,z \ 1,z) \ z) = K(x,((z \ 1) * y) \ 1). [para(383(a,1),6580(a,1,2,1)),flip(a)]. 6606 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(643(a,1),6580(a,1,2,1)),flip(a)]. 6610 K(x,(y \ K(z,u)) \ 1) = K(x,K(u,z) * y). [para(5600(a,1),6580(a,2,2))]. 6611 K(x,y \ z) * K(x * ((z \ y) \ 1),x) = x \ R(x,(z \ y) \ 1,x). [para(6580(a,1),5726(a,1,1))]. 6612 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(6580(a,1),6185(a,1,1)),flip(a)]. 6613 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6580(a,1),5775(a,1,2))]. 6614 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6580(a,1),6358(a,1,1)),flip(a)]. 6615 K(x,y) * K(y,z \ (x * z)) = K(x * z,K(x,y)). [para(6580(a,1),6133(a,1,2))]. 6618 (x * y) * K(y,z) = x * T(y,z). [para(6588(a,1),19(a,1,2))]. 6619 x \ (y * T(y \ x,z)) = K(y \ x,z). [para(19(a,1),6588(a,1,1))]. 6620 ((x / T(y,z)) * y) \ x = K(y,z). [para(21(a,1),6588(a,1,2))]. 6621 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6588(a,1),220(a,1,2)),flip(b)]. 6627 (x * (y / x)) \ (K(x,x \ y) * T(y,z)) = K(y,z). [para(5271(a,1),6588(a,1,1))]. 6629 (x / y) * T(y,z) = x * K(y,z). [para(6589(a,1),19(a,1,2)),flip(a)]. 6631 (x / y) \ (x * K(y,z)) = T(y,z). [para(6589(a,1),65(a,1,2,2))]. 6633 (x * T(y,z)) * K(z,y) = x * y. [para(6594(a,1),19(a,1,2))]. 6634 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(19(a,1),6594(a,1,2))]. 6635 ((x / y) * T(y,z)) \ x = K(z,y). [para(21(a,1),6594(a,1,2))]. 6641 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(6214,a,6618,a)]. 6642 R(x,y,K(y,z)) = x. [hyper(5331,a,6618,a)]. 6643 x * T(x \ y,z) = y * K(x \ y,z). [hyper(519,a,6618,a),flip(a)]. 6645 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(172,a,6618,a,b,19,a),flip(a)]. 6647 x * T(x \ y,z) != u | y * K(x \ y,z) = u. [para(6618(a,1),519(a,1))]. 6649 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(6618(a,1),487(a,1,2))]. 6650 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(6618(a,1),457(a,1,1))]. 6652 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(5175(a,1),6618(a,1,1)),flip(a)]. 6653 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(6618(a,1),6568(a,1,1)),flip(a)]. 6659 (x * T(y,z)) / y = x * K(y,z). [hyper(255,a,1345,a,b,6629,a(flip)),flip(a)]. 6660 (x / T(y,z)) * K(y,z) = x / y. [hyper(255,a,1346,a(flip),b,6629,a(flip))]. 6662 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6629(a,1),860(a,1,2,1))]. 6663 (x * K(y,z)) * y = x * T(y,z). [para(6629(a,1),1343(a,1,1))]. 6664 (x * K(y,z)) \ (x * T(y,z)) = y. [para(6629(a,1),1347(a,1,1))]. 6665 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(6631(a,1),6032(a,1,2))]. 6666 (x * K(y,z)) / z = x / T(z,y). [hyper(535,a,6633,a)]. 6667 (x / T(y,z)) * y = x * K(z,y). [hyper(308,a,6633,a),flip(a)]. 6669 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). [para(6633(a,1),457(a,1,2)),flip(a)]. 6670 (x * K(y,z)) \ x = K(z,y). [para(6629(a,1),6635(a,1,1))]. 6671 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(255,a,6191,a(flip),b,6670,a)]. 6672 (x * K(y,z)) * K(z,y) = x. [para(6670(a,1),19(a,1,2))]. 6673 x / K(y,z) = x * K(z,y). [para(6670(a,1),70(a,1,2))]. 6674 x * K(y,z) != u | u * K(z,y) = x. [para(6670(a,1),94(a,1,2)),flip(b)]. 6675 (x * K(y,z)) * K(z,y) != u | u = x. [para(6670(a,1),220(a,1,2))]. 6677 x / K(y,z) != u | x * K(z,y) = u. [para(6670(a,1),303(a,1,2)),flip(b)]. 6678 L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). [para(6670(a,1),114(a,1,1))]. 6680 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(6670(a,2),5600(a,1,1))]. 6681 (x \ R(x,y,x)) \ K(x * y,x) = K(y,x). [para(5942(a,1),6670(a,1,1))]. 6682 (K(x,y) * z) \ z = T(K(y,x),z). [para(6670(a,1),6303(a,1,1)),flip(a)]. 6683 L(L(K(x,y),z,u),K(y,x),w) = L(K(x,y),z,u). [para(6670(a,1),5398(a,2,1))]. 6684 (x * (y * K(z,u \ 1))) \ (x * y) = K(L(u,y,x) \ 1,z). [para(6190(a,1),6670(a,1,1))]. 6685 (x * (y * K(z,y))) \ (x * y) = K(y,z). [para(6569(a,1),6670(a,1,1))]. 6686 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(172,a,6672,a,b,5608,a)]. 6687 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [hyper(23,a,6102,a,b,6672,a)]. 6688 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(23,a,3604,a,b,6672,a)]. 6689 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(23,a,2075,a,b,6672,a)]. 6692 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y * K(z,u),K(u,z)). [para(6672(a,1),29(a,2,1,2)),flip(a)]. 6693 (x * K(y,z)) \ x != u | K(z,y) = u. [para(6672(a,1),222(a,1,2)),flip(b)]. 6695 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(6672(a,1),112(a,1,1))]. 6697 R(x * K(y,z),K(z,y),u) \ (x * u) = K(z,y) * u. [para(6672(a,1),149(a,1,2,1))]. 6699 (x * K(y,z)) * (y * K(z,y)) = x * y. [para(6672(a,1),6568(a,1,1)),flip(a)]. 6700 x / K(y,z) != x * u | K(z,y) = u. [para(6673(a,2),24(a,1))]. 6701 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(6673(a,1),253(a,1,1))]. 6706 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [hyper(80,a,6641,a(flip),b,5187,a),flip(a)]. 6707 K((x \ y) \ 1,z) = K(y \ x,z). [para(19(a,1),6641(a,1,1,1,1))]. 6709 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(6641(a,1),5334(a,1,2))]. 6712 x \ (y * T(x,z)) = T(y * K(x,z),x). [para(6659(a,1),129(a,1,1)),flip(a)]. 6713 x * T(y * K(x,z),x) = y * T(x,z). [para(6659(a,1),171(a,1,2,1))]. 6714 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(6659(a,1),226(a,1,1)),flip(b)]. 6716 T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. [para(6659(a,1),6157(a,1,1))]. 6718 (x / y) * K(z,y) = x / T(y,z). [hyper(23,a,6672,a,b,6660,a),flip(a)]. 6719 (x * K(y,z)) * y = (x * y) * K(y,z). [hyper(255,a,6618,a,b,6663,a)]. 6722 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(80,a,6629,a(flip),b,6663,a)]. 6723 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(23,a,4695,a(flip),b,6663,a)]. 6724 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6663(a,1),29(a,2,1,2)),flip(a)]. 6725 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(6663(a,1),162(a,2,1))]. 6728 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(5206(a,1),6663(a,1,1))]. 6729 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6663(a,1),5946(a,1,2,1))]. 6730 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(6569(a,1),6663(a,1,1))]. 6731 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(6633(a,1),6663(a,1,1)),flip(a)]. 6732 (x * K(y,z)) * T(z,y) = x * z. [para(6672(a,1),6663(a,1,1)),flip(a)]. 6733 L(x,K(x,y),z) = x. [hyper(5349,a,6664,a)]. 6734 L(T(x,y),K(x,z),u) = T(x,y). [para(6733(a,1),45(a,2,1))]. 6735 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6733(a,1),429(a,1,2,1))]. 6737 L(x * y,K(y * x,z),u) = (y \ (y * x)) * y. [para(6733(a,1),5115(a,1,1,2)),flip(a)]. 6740 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(6734(a,1),50(a,1,1)),flip(a)]. 6741 x \ (y * K(z,x)) = T(y / T(x,z),x). [para(6666(a,1),129(a,1,1)),flip(a)]. 6743 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(6666(a,1),4593(a,1,1,2))]. 6744 T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). [para(6666(a,1),4594(a,1,1,1,2))]. 6745 (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). [para(6666(a,1),6629(a,1,1))]. 6746 x * K(y,z) != u * z | x / T(z,y) = u. [para(6667(a,1),25(a,1))]. 6750 (K(x,y) * z) * T(K(y,x),z) = z. [para(6682(a,1),19(a,1,2))]. 6752 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(6688(a,1),123(a,2,2))]. 6754 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(255,a,6015,a,b,6707,a(flip)),flip(a)]. 6755 T(K(x / y,z),x) = K(y \ x,z). [hyper(255,a,5962,a,b,6707,a(flip)),flip(a)]. 6756 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(255,a,6548,a(flip),b,6707,a(flip)),flip(a)]. 6757 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(255,a,5961,a(flip),b,6707,a(flip))]. 6759 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(37(a,2),6707(a,1,1,1))]. 6761 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(114(a,2),6707(a,1,1,1))]. 6764 T(x,(y \ z) \ 1) = K(z \ y,x) \ x. [para(6707(a,1),5208(a,2,1))]. 6768 T(x,(y \ z) \ x) * K(z \ y,x) = L(x,(y \ z) \ 1,x). [para(6707(a,1),5725(a,1,2))]. 6769 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [para(6707(a,1),6018(a,2,2))]. 6772 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(6707(a,1),5518(a,1,2))]. 6773 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(6707(a,1),6406(a,1,2))]. 6774 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(6707(a,1),6470(a,1,1)),flip(a)]. 6775 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(6707(a,1),6521(a,1,2))]. 6776 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(6707(a,1),6023(a,1,1,2)),flip(a)]. 6777 x / T(y \ x,z) = y * K(z,y \ x). [hyper(302,a,6718,a),flip(a)]. 6778 (x / y) * K(x,y) = T(x,y) / y. [hyper(255,a,4456,a,b,6718,a)]. 6780 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(80,a,6718,a(flip),b,5905,a(flip)),flip(a)]. 6782 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(87,a,6723,a),flip(a)]. 6783 (x \ y) * K(y,x) = x \ T(y,x). [hyper(23,a,6672,a,b,6723,a),flip(a)]. 6784 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(87,a,6732,a)]. 6788 K(x / y,z) * x = x * K(y \ x,z). [para(6755(a,1),127(a,1,2)),flip(a)]. 6790 K(T(x,x \ y),z) = T(K(x,z),y). [para(128(a,2),6757(a,1,1))]. 6791 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(6179,a,6778,a)]. 6792 x \ T(x * y,x) = y * K(x * y,x). [para(18(a,1),6783(a,1,1)),flip(a)]. 6794 T(x,y) * K(y,T(x,y)) != z | z = x. [para(5212(a,1),6675(a,1,1))]. 6795 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(6660(a,1),6675(a,1,1)),flip(b)]. 6797 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5984(a,1),6693(a,1,1))]. 6798 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5986(a,1),6693(a,1,1))]. 6799 (x * (y * K(z,y))) \ (x * y) != u | K(y,z) = u. [para(6569(a,1),6693(a,1,1))]. 6800 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(6095(a,1),6794(a,1))]. 6804 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(686,a,6570,a)]. 6805 L(x,K(y,x),z) = x. [para(3140(a,1),6804(a,1,1))]. 6806 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(6805(a,1),427(a,1,2,1))]. 6807 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(6805(a,1),428(a,1,2,1))]. 6808 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(6805(a,1),429(a,1,2,1))]. 6814 (x * ((y * z) / y)) * K(z,y) = x * z. [hyper(6674,a,6574,a)]. 6816 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(6574(a,1),6663(a,1,1))]. 6817 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(6597(a,2),5384(a,1))]. 6821 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(6619(a,1),439(a,1,1))]. 6823 x \ (y \ ((z \ (y * x)) * z)) = K((y \ z) \ x,z). [para(881(a,1),6619(a,1,2))]. 6826 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(1138(a,1),6634(a,1,1))]. 6827 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(832(a,1),6634(a,1,1))]. 6828 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1638(a,1),6634(a,1,1))]. 6829 T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). [para(2323(a,1),6634(a,1,1))]. 6832 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(6643(a,2),222(a,1,2)),flip(b)]. 6834 (x * K(y \ x,z)) * (y \ 1) = T(x * (y \ 1),z). [para(6643(a,1),973(a,1,1))]. 6837 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(6686(a,1),6101(a,1,1))]. 6838 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(6686(a,1),6800(a,1,1)),flip(b)]. 6839 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(5600(a,2),6687(a,1,1))]. 6840 (x * y) / ((z * y) / z) = x * K(y,z). [hyper(5838,a,6699,a)]. 6841 x / (y * K(z,y)) = (x / y) * K(y,z). [hyper(81,a,21,a(flip),b,6699,a)]. 6847 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(80,a,112,a(flip),b,6731,a)]. 6848 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(6731(a,1),4481(a,1,2))]. 6849 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(255,a,5968,a(flip),b,6759,a(flip))]. 6850 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(255,a,5208,a,b,6764,a)]. 6852 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(6764(a,2),5227(a,1))]. 6854 T(x,(y * z) \ y) = T(x,z \ 1). [para(18(a,1),6850(a,1,2,1)),flip(a)]. 6858 T(x,L(y \ 1,y,z) \ 1) = T(x,z \ (z * y)). [para(162(a,2),6850(a,1,2,1))]. 6861 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(6850(a,1),6159(a,1))]. 6864 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(23,a,3145,a(flip),b,6788,a)]. 6866 (x \ T(x * y,x)) \ (y * K(z,K(x * y,x))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(6792(a,2),5366(a,1,1))]. 6867 (x / ((y * z) / y)) * z = x * K(z,y). [hyper(308,a,6814,a),flip(a)]. 6870 T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u). [para(6837(a,1),43(a,1,1)),flip(a)]. 6871 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(6837(a,1),6800(a,1,1)),flip(b)]. 6873 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(255,a,5438,a(flip),b,6840,a(flip)),flip(a)]. 6874 x / ((y * z) / y) = (x / z) * K(z,y). [hyper(255,a,251,a(flip),b,6840,a(flip)),flip(a)]. 6878 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(5268(a,1),6841(a,1,2)),flip(a)]. 6882 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(4524(a,1),6867(a,1,1,2))]. 6884 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(6674,a,6874,a(flip))]. 6886 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [para(19(a,1),6884(a,1,1,2,1))]. 6891 x \ (R(x,y,x) * T(R(x,y,x) \ (x * K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(6681(a,1),1553(a,2,2,1))]. 6893 (x * ((y * z) / y)) * y != u | (x * z) * T(y,z) = u. [para(6574(a,1),6714(a,1,1))]. 6895 x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. [para(144(a,1),6795(a,1,1))]. 6896 K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u. [para(37(a,2),6817(a,1,2,1))]. 6900 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(6088(a,2),6817(a,1))]. 6901 T(x,T(y,z) \ 1) != u | T(x,(y * z) \ z) = u. [para(37(a,2),6852(a,1,2,1))]. 6902 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(3341(a,1),6900(a,1))]. 6906 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(255,a,2410,a(flip),b,6613,a),flip(a)]. 6907 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(255,a,5413,a(flip),b,6645,a(flip))]. 6908 x * T(y / x,T(x,z)) = T(y,K(x,z)). [para(21(a,1),6907(a,1,1)),flip(a)]. 6909 x \ T(y,K(x,z)) = T(y / x,T(x,z)). [hyper(87,a,6908,a)]. 6911 ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). [hyper(81,a,6730,a(flip),b,122,a)]. 6914 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(255,a,5009,a(flip),b,6769,a(flip)),flip(a)]. 6915 K((x \ 1) \ y,x) = K(x * y,x). [hyper(22,a,6792,a(flip),b,6769,a(flip))]. 6916 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6769(a,1),5026(a,1,1))]. 6917 K((1 / x) \ y,x) = K(x * y,x). [hyper(255,a,5755,a,b,6915,a(flip)),flip(a)]. 6918 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(255,a,3337,a,b,6816,a)]. 6922 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(6666(a,1),6882(a,1,1)),flip(a)]. 6927 L(x * y,K(y * x,z),u) = x * y. [para(18(a,1),6737(a,2,1))]. 6928 (x * K(y * z,u)) * (z * y) = x * (K(y * z,u) * (z * y)). [para(6927(a,1),112(a,1,2))]. 6929 (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. [para(6740(a,1),224(a,1,2))]. 6931 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(881(a,1),6832(a,1,2))]. 6933 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(832(a,1),6832(a,1,2))]. 6934 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(5513(a,1),6832(a,1))]. 6936 T(K(x / y,z),x) != u | K(y \ x,z) = u. [para(5962(a,2),6934(a,1))]. 6939 K(x / y,x) != z | K(y \ x,x) = z. [para(3139(a,1),6936(a,1))]. 6941 T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. [para(5608(a,1),6838(a,1,1))]. 6942 T(x,L(y \ 1,y,z) \ 1) = T(x,y). [para(18(a,1),6858(a,2,2))]. 6943 T(x,x \ T(x * y,y \ 1)) = T(x,y). [hyper(255,a,6242,a,b,6942,a(flip)),flip(a)]. 6945 T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,y). [para(21(a,1),6943(a,1,2,2,1))]. 6947 T(x * T(y,z),K(z,y)) != u | K(y,z) * (x * y) = u. [para(6618(a,1),6871(a,1,1))]. 6949 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(3052(a,1),6612(a,1,2,1)),flip(a)]. 6950 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(37(a,2),6615(a,1,2,2))]. 6951 T(K(x,y),y * z) = K(x,T(y,z)). [hyper(22,a,6090,a,b,6950,a),flip(a)]. 6952 T(K(x,y),z * y) = K(x,T(y,z)). [hyper(255,a,6298,a,b,6951,a(flip)),flip(a)]. 6953 K(x,T(y,y \ z)) = T(K(x,y),z). [para(19(a,1),6951(a,1,2)),flip(a)]. 6954 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(6951(a,1),127(a,1,2))]. 6955 K(x,y) * K(y,T(x,z)) != u | K(x * z,K(x,y)) = u. [para(6951(a,1),6116(a,1,2))]. 6956 K(x,T(y,z / y)) = T(K(x,y),z). [para(21(a,1),6952(a,1,2)),flip(a)]. 6957 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(255,a,5900,a(flip),b,6954,a)]. 6958 K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). [hyper(255,a,5053,a,b,6652,a),flip(a)]. 6960 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(162(a,2),6706(a,1,1,1))]. 6965 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(5147(a,1),6754(a,1,2))]. 6966 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(6934,a,6756,a),flip(a)]. 6967 (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. [hyper(6674,a,6772,a)]. 6968 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))). [para(6772(a,1),4154(a,1,2,2)),flip(a)]. 6970 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(22,a,6773,a,b,6775,a)]. 6971 (x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z). [para(6775(a,1),6670(a,1,1))]. 6972 1 / K((x * y) \ z,x) = K(x,(y * x) \ z). [para(6970(a,1),5394(a,1,2))]. 6973 K(x,(y * x) \ z) = K(x,(x * y) \ z). [hyper(5395,a,6972,a),flip(a)]. 6974 K(x,(y * x) \ z) != u | K(x,(x * y) \ z) = u. [para(6972(a,1),5395(a,1))]. 6975 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5726(a,1),6791(a,1,2))]. 6976 R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). [para(6975(a,1),160(a,2,2))]. 6977 R(x,K(y,z),T(z,u)) = x. [hyper(454,a,6806,a)]. 6978 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [hyper(5918,a,6834,a)]. 6980 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5763(a,1),6914(a,2,2))]. 6981 T(x / y,(x / y) \ T(x,y \ 1)) = y \ x. [hyper(255,a,129,a(flip),b,6945,a)]. 6982 T(x,y \ 1) / (y \ x) = (x / y) \ T(x,y \ 1). [para(6981(a,1),199(a,1,2))]. 6983 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(255,a,6823,a(flip),b,6965,a(flip))]. 6984 (x \ y) * K((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(6967(a,1),6675(a,1,1)),flip(b)]. 6985 T(x,(y \ 1) \ 1) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(3371(a,1),6982(a,2,2))]. 6986 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [hyper(255,a,6612,a(flip),b,6604,a(flip)),flip(a)]. 6987 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(6587,a,6986,a),flip(a)]. 6988 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(19(a,1),6986(a,2,2,1))]. 6989 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(19(a,1),6986(a,2,2,2))]. 6990 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(73(a,1),6986(a,1,1,2)),flip(a)]. 6991 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(114(a,2),6986(a,2,2))]. 6992 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(19(a,1),6987(a,1,2,1)),flip(a)]. 6994 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [para(6987(a,1),5252(a,2,2))]. 6995 K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). [para(5608(a,1),6987(a,1,2,1)),flip(a)]. 6996 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(255,a,6439,a(flip),b,6992,a(flip))]. 6997 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(6293(a,2),6992(a,1,2,1))]. 6998 K(x,L(y \ z,y,K(z,u))) = K(x,y \ z). [hyper(255,a,4398,a(flip),b,6991,a(flip))]. 6999 L(K(x,y \ z),z,y \ 1) = K(x,(1 / y) * z). [para(3052(a,1),6991(a,2,2))]. 7000 K(x,(K(y,z) * u) \ T(y,z)) = K(x,u \ y). [para(5345(a,1),6998(a,1,2))]. 7001 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(255,a,5252,a,b,6994,a)]. 7002 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(19(a,1),7001(a,1,2,1)),flip(a)]. 7004 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(6988(a,1),45(a,2,1))]. 7005 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(6988(a,1),112(a,1,2))]. 7006 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(19(a,1),6990(a,1,2,2))]. 7007 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(116(a,2),6990(a,1,2))]. 7008 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [hyper(255,a,6483,a,b,7007,a)]. 7009 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(20(a,1),7007(a,1,2,2)),flip(a)]. 7010 L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)). [para(6659(a,1),7007(a,1,2,2)),flip(a)]. 7011 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(5004,a,7009,a),flip(a)]. 7012 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(255,a,6581,a,b,7009,a(flip)),flip(a)]. 7015 T(x,K(y,L(x,z,u))) = x. [para(7009(a,1),3223(a,1,2))]. 7017 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(7008(a,2),6486(a,1))]. 7018 L(K(x,y \ z),z,y \ 1) = K(x,(y \ 1) * z). [hyper(255,a,5807,a(flip),b,6999,a)]. 7019 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). [para(437(a,1),7011(a,1,2)),flip(a)]. 7020 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(7009(a,1),7012(a,1,1))]. 7021 K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. [para(70(a,1),7017(a,1,2,2))]. 7022 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(116(a,1),7017(a,1,2))]. 7024 (x * K(y,z)) \ (x * T(y,u)) = K(z,y) * T(y,u). [para(6977(a,1),6697(a,1,1))]. 7025 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [para(7024(a,1),298(a,1,2))]. 7026 (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). [para(3360(a,1),7025(a,1,2)),flip(a)]. 7027 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(5540(a,1),7025(a,1,2)),flip(a)]. 7028 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(5541(a,1),7025(a,1,2)),flip(a)]. 7029 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(7028(a,1),6663(a,1,1)),flip(a)]. 7030 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(255,a,6774,a(flip),b,6761,a(flip)),flip(a)]. 7031 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(255,a,5889,a(flip),b,7030,a)]. 7032 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(19(a,1),7030(a,2,1,1))]. 7033 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(19(a,1),7030(a,2,1,2))]. 7034 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(73(a,1),7030(a,1,1,1)),flip(a)]. 7035 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(127(a,1),7030(a,2,1,2))]. 7036 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(114(a,2),7030(a,2,1))]. 7037 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(5608(a,1),7030(a,2,1,1))]. 7038 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(6915(a,1),7030(a,1,1))]. 7039 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(1977(a,2),7036(a,2,1))]. 7040 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(3052(a,1),7036(a,2,1))]. 7041 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(255,a,7020,a(flip),b,7032,a(flip)),flip(a)]. 7042 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(255,a,6988,a(flip),b,7032,a(flip)),flip(a)]. 7043 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(255,a,6572,a(flip),b,7032,a(flip)),flip(a)]. 7044 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(116(a,2),7034(a,1,1))]. 7045 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(255,a,33,a(flip),b,7044,a)]. 7046 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(20(a,1),7044(a,1,1,2)),flip(a)]. 7047 K(L(x,y,z),y * x) = K(x,y * x). [hyper(255,a,6572,a(flip),b,7046,a(flip))]. 7048 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(7046(a,1),485(a,1,2))]. 7049 K(L(x,y,z),y * x) = K(x,x * y). [hyper(255,a,5842,a(flip),b,7047,a)]. 7050 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [hyper(5004,a,7040,a),flip(a)]. 7051 L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z). [hyper(255,a,5756,a(flip),b,7040,a)]. 7052 K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). [para(70(a,1),7050(a,1,1,1)),flip(a)]. 7053 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(6677,a,7048,a)]. 7054 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(7048(a,1),6700(a,1)),flip(a)]. 7056 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(6848(a,1),636(a,1))]. 7057 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [hyper(255,a,5816,a(flip),b,6949,a)]. 7058 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1723(a,1),6960(a,2,2))]. 7063 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(114(a,1),7021(a,1,2))]. 7064 K(x,(y * z) \ u) != w | L(K(x,z \ (y \ u)),y \ u,y) = w. [para(241(a,1),7021(a,1,2))]. 7065 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(255,a,6745,a(flip),b,7029,a(flip)),flip(a)]. 7066 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(255,a,3764,a(flip),b,7033,a(flip))]. 7067 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(7033(a,1),418(a,1,2)),flip(a)]. 7068 L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). [para(6915(a,1),7033(a,1,1))]. 7069 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6983(a,1),7033(a,1,1))]. 7070 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(255,a,5416,a,b,7066,a(flip)),flip(a)]. 7071 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(7045(a,2),431(a,1))]. 7072 K(L(x \ y,x,z),u) != w | L(K(x \ y,u),y,z) = w. [para(70(a,1),7071(a,1,1,2))]. 7073 K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1). [para(73(a,1),7057(a,1,1,2)),flip(a)]. 7074 K((x * y) \ (x * z),u) != w | L(K(y \ z,u),z,x) = w. [para(114(a,1),7072(a,1,1))]. 7075 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2545(a,2),6606(a,1,2))]. 7076 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(6475(a,1),6671(a,1,1,2))]. 7077 (x * L(K(y,z),u,w)) * L(K(z,y),u,w) = x. [para(7076(a,1),19(a,1,2))]. 7078 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(7076(a,1),70(a,1,2))]. 7079 x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. [para(7076(a,1),94(a,1,2)),flip(b)]. 7081 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(112(a,1),7076(a,1,1))]. 7082 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(418(a,1),7076(a,1,1))]. 7083 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(209,a,7077,a),flip(a)]. 7084 x / L(L(K(y,z),u,w),K(z,y),v5) = x * L(K(z,y),u,w). [para(6683(a,2),7078(a,1,2))]. 7085 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(7083(a,1),24(a,1)),flip(a)]. 7086 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(7083(a,1),222(a,1,2)),flip(b)]. 7088 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(80,a,6776,a(flip),b,6643,a(flip))]. 7089 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(73(a,1),7088(a,1,2,1,2,1)),flip(a)]. 7090 R(x,K(y,z),R(z,u,w)) = x. [hyper(454,a,6807,a)]. 7091 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(255,a,6701,a(flip),b,7090,a(flip)),flip(a)]. 7092 R(x,K(y,z),L(z,u,w)) = x. [hyper(454,a,6808,a)]. 7093 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (y \ z)) \ u). [para(881(a,1),6827(a,1,1,2))]. 7094 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(832(a,1),6827(a,1,1,2))]. 7095 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1743(a,1),6827(a,1,1,2))]. 7096 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(255,a,45,a,b,6847,a)]. 7101 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1423(a,1),6996(a,1,2)),flip(a)]. 7102 (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. [para(7026(a,1),3989(a,1,1)),flip(a)]. 7103 ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). [hyper(80,a,7052,a(flip),b,2516,a)]. 7104 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(5216(a,1),7096(a,2,1))]. 7105 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(449(a,2),6602(a,1,2))]. 7106 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(255,a,7081,a(flip),b,6678,a)]. 7107 K(L(x,y,z) \ 1,u) != w | L(K(x \ 1,u),y,z) = w. [para(6684(a,1),7086(a,1))]. 7108 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(6725(a,2),5453(a,1))]. 7109 T(x,y \ (z * x)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(7002(a,1),6768(a,1,1))]. 7110 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(6965(a,1),6931(a,1))]. 7113 (x / (K(y,z) * L(K(z,y),u,w))) * K(y,z) = x * L(K(y,z),u,w). [hyper(255,a,316,a(flip),b,7084,a(flip)),flip(a)]. 7114 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(73(a,1),6828(a,1,1,1,2,1))]. 7115 K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). [para(5547(a,1),6829(a,1,1,1)),flip(a)]. 7116 (x * K(y * z,u)) * (z * y) = x * (K(z,y) * T(y * z,u)). [para(6958(a,1),6928(a,2,2))]. 7117 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(3371(a,1),6985(a,1,1))]. 7118 ((x / (y \ 1)) \ T(x,y)) \ T(x,y) = (y \ 1) \ x. [para(7117(a,1),73(a,1,1))]. 7119 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(7005(a,1),24(a,1)),flip(a)]. 7120 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(59(a,1),7042(a,2,1))]. 7121 K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). [para(1309(a,1),7042(a,2,1))]. 7122 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(7067(a,2),6693(a,1,1))]. 7124 T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). [para(7115(a,2),19(a,1,2))]. 7125 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [hyper(255,a,5608,a(flip),b,7116,a)]. 7126 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(23,a,6197,a,b,7125,a),flip(a)]. 7127 (x * y) * (K(y,x) * K(y * x,z)) = T(y * x,z). [para(7126(a,1),19(a,1,2))]. 7129 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(6653(a,1),5636(a,1,1))]. 7130 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(466,a,7129,a),flip(a)]. 7131 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5608(a,1),5663(a,1,2,2)),flip(a)]. 7132 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6382(a,1),5868(a,1,1))]. 7133 (1 / x) * (L(x,y,z) \ x) = 1 / L(x,y,z). [hyper(255,a,6192,a(flip),b,6188,a(flip))]. 7136 (1 / x) * ((L(x,y,z) \ 1) * x) = T(1 / L(x,y,z),x). [para(7133(a,1),1432(a,1,1)),flip(a)]. 7137 (x \ 1) \ T(1 / L(x,y,z),x) = (L(x,y,z) \ 1) * T(x,x \ 1). [hyper(80,a,7136,a(flip),b,3087,a)]. 7139 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(255,a,325,a(flip),b,6473,a)]. 7141 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(1150(a,1),7139(a,1,2))]. 7142 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(42,a,7141,a)]. 7143 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(40,a,7142,a)]. 7144 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(1153(a,2),7143(a,1,1))]. 7145 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(7144(a,1),4423(a,1,2)),flip(a)]. 7146 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(255,a,3739,a(flip),b,7145,a)]. 7147 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(1153(a,1),7146(a,1,1))]. 7148 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4564(a,1),6554(a,1,1)),flip(a)]. 7149 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(255,a,4141,a(flip),b,7148,a)]. 7150 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(23,a,5444,a,b,7149,a)]. 7151 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(255,a,5736,a,b,7150,a)]. 7152 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4624(a,1),7151(a,1,2))]. 7153 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(7152(a,1),73(a,1,1))]. 7154 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5736(a,1),7153(a,1,1))]. 7155 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(5217(a,2),7154(a,1,1,2))]. 7156 ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). [para(6663(a,1),6911(a,1,2))]. 7157 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [hyper(466,a,7156,a),flip(a)]. 7158 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [para(5268(a,1),7157(a,1,2)),flip(a)]. 7163 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(255,a,7033,a(flip),b,7069,a(flip))]. 7164 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(19(a,1),7163(a,2,1,1))]. 7165 K(((x \ y) * x) \ z,y) = K(y \ z,y). [para(70(a,1),7164(a,1,1,1,2))]. 7166 T(x,((y \ x) * y) \ z) = (u * K(x \ z,x)) \ (u * x). [para(7165(a,1),6784(a,1,1,2)),flip(a)]. 7167 T(x,((y \ x) * y) \ z) = T(x,x \ z). [hyper(255,a,5204,a,b,7166,a)]. 7168 T(x,x \ T(y,y \ x)) = T(x,x \ y). [para(6064(a,1),7167(a,1,2))]. 7169 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(7168(a,1),199(a,1,2))]. 7170 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [hyper(255,a,601,a(flip),b,7169,a(flip)),flip(a)]. 7171 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [hyper(255,a,5639,a(flip),b,7170,a(flip))]. 7172 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5683(a,1),5356(a,1,2))]. 7173 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(6282(a,1),5648(a,1,1))]. 7174 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(255,a,4829,a(flip),b,7173,a(flip))]. 7175 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1424(a,1),7174(a,1,2,1))]. 7176 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [para(7175(a,1),73(a,1,1)),flip(a)]. 7177 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(313,a,7176,a)]. 7178 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(87,a,7176,a)]. 7179 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(7176(a,1),3455(a,1,2)),flip(a)]. 7180 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5774(a,1),5776(a,1,1))]. 7183 (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). [para(3702(a,1),7180(a,1,1,2)),flip(a)]. 7184 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3702(a,1),7183(a,1,2)),flip(a)]. 7186 K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). [hyper(255,a,6050,a(flip),b,6016,a(flip))]. 7187 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(255,a,6707,a(flip),b,7186,a)]. 7188 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(6934,a,7187,a)]. 7189 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(7188(a,1),5394(a,1,2)),flip(a)]. 7190 x / K(y \ x,T(x,z)) != u | T(x,T(y,z) \ T(x,z)) = u. [para(7188(a,1),5201(a,1,2))]. 7191 K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). [hyper(255,a,5394,a(flip),b,7189,a)]. 7192 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(19(a,1),6233(a,1,1,2,2,1))]. 7193 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(255,a,5786,a(flip),b,7192,a)]. 7194 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(7193(a,1),474(a,1,1))]. 7195 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(6386(a,1),6384(a,1,1))]. 7196 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(6458(a,1),19(a,1,2))]. 7197 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(255,a,49,a(flip),b,6498,a)]. 7198 x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). [para(5184(a,2),6514(a,1,2)),flip(a)]. 7199 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(255,a,5286,a(flip),b,7198,a)]. 7200 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(3481(a,1),7199(a,1,2))]. 7201 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [para(7200(a,1),73(a,1,1))]. 7202 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(4395(a,1),6523(a,1,1)),flip(a)]. 7203 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(6146,a,7202,a)]. 7205 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(73(a,1),7203(a,1,1,2,1)),flip(a)]. 7206 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(120(a,2),7203(a,1,1))]. 7207 K(R(x,x \ 1,y),z) = K(x,z). [hyper(255,a,332,a(flip),b,7206,a)]. 7208 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(18(a,1),7206(a,1,1,2)),flip(a)]. 7209 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(7206(a,2),122(a,1,1))]. 7210 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5555(a,1),7206(a,1,1,2))]. 7211 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(7206(a,1),6670(a,1,1,2)),flip(a)]. 7212 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [hyper(255,a,6327,a(flip),b,7207,a)]. 7213 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(7208(a,1),51(a,1,1)),flip(a)]. 7214 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(21(a,1),7205(a,2,1,2))]. 7215 K((x * y) / z,x) = K(x / (z / y),x). [hyper(255,a,5911,a(flip),b,7214,a(flip))]. 7216 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(255,a,6128,a(flip),b,7215,a)]. 7217 K((x * y) / z,x) != u | K((z / y) \ x,x) = u. [para(7215(a,2),6939(a,1))]. 7218 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(255,a,6377,a(flip),b,7211,a(flip))]. 7219 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [para(7218(a,1),19(a,1,2))]. 7221 K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. [para(5561(a,1),6524(a,1,1,1)),flip(a)]. 7222 K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). [hyper(255,a,5007,a(flip),b,7221,a)]. 7223 K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). [hyper(255,a,5786,a(flip),b,7222,a(flip)),flip(a)]. 7224 K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). [para(4752(a,1),7223(a,1,2))]. 7225 K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). [hyper(255,a,7089,a,b,7224,a),flip(a)]. 7226 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(686,a,6528,a)]. 7227 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(7226(a,1),6477(a,1,1,1)),flip(a)]. 7228 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(255,a,5967,a(flip),b,7227,a)]. 7229 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(5147(a,1),7095(a,1,1,2))]. 7230 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(6629(a,1),7114(a,1,1,1)),flip(a)]. 7231 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(7230(a,2),19(a,1,2))]. 7232 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)). [para(6735(a,1),7230(a,2,1))]. 7233 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(7231(a,1),6670(a,1,1)),flip(a)]. 7234 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(6722(a,1),7231(a,1,2,2))]. 7235 R(x * K(y,z),K(y,u),K(z,y)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(80,a,7234,a(flip),b,122,a)]. 7236 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(6672(a,1),7234(a,1,1,1))]. 7237 ((x * K(y,z)) * K(z,u)) / (K(z,u) * K(y,z)) = R(x,K(z,u),K(y,z)). [hyper(81,a,7236,a(flip),b,122,a)]. 7238 (x * y) \ ((x * K(z \ x,u)) * y) = K((z * y) \ (x * y),u). [para(70(a,1),7233(a,1,1,1,1)),flip(a)]. 7239 (x * y) * K((z * y) \ (x * y),u) = (x * K(z \ x,u)) * y. [para(7238(a,1),19(a,1,2))]. 7240 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(22,a,6573,a(flip),b,7239,a)]. 7242 (x * (y * K(z \ u,y))) \ (x * y) = K(y,(z * y) \ (u * y)). [para(7240(a,1),6685(a,1,1,2,2))]. 7244 K(x,(y * x) \ (z * x)) = K(x,y \ z). [hyper(6799,a,7242,a),flip(a)]. 7245 K(x,(x * y) \ (z * x)) = K(x,y \ z). [hyper(6974,a,7244,a)]. 7246 K(x,(y / x) \ z) = K(x,y \ (z * x)). [para(21(a,1),7244(a,1,2,1)),flip(a)]. 7247 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [para(19(a,1),7245(a,1,2,1)),flip(a)]. 7248 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [para(7246(a,1),6989(a,1,1))]. 7249 K(x,(y / x) \ z) = K(x,(x \ y) \ z). [hyper(255,a,7246,a,b,7247,a),flip(a)]. 7250 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(18(a,1),7247(a,1,2)),flip(a)]. 7251 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(7247(a,1),6989(a,1,1))]. 7252 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [hyper(255,a,3312,a,b,7248,a)]. 7253 L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(2374(a,2),7248(a,2,2,1,2))]. 7254 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(255,a,7248,a(flip),b,7251,a(flip)),flip(a)]. 7255 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(7254(a,1),5602(a,1,2,2))]. 7256 L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(7254(a,1),6989(a,1,1))]. 7257 (L(x,y,z) \ 1) * T(x,x \ 1) = (x \ 1) \ (L(x,y,z) \ 1). [para(6328(a,1),7137(a,1,2)),flip(a)]. 7258 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(255,a,5089,a(flip),b,7257,a(flip))]. 7259 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(3196,a,7258,a)]. 7260 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [para(7258(a,1),19(a,1,2))]. 7261 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(255,a,7147,a,b,7260,a),flip(a)]. 7262 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2564,a,7261,a)]. 7263 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(5272(a,1),7172(a,1,2,2)),flip(a)]. 7264 L(L(x,y,z),z * y,K(y,z)) = L(x,T(y,z),z). [hyper(255,a,178,a(flip),b,7263,a)]. 7266 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(255,a,7093,a(flip),b,7229,a(flip))]. 7267 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(19(a,1),7266(a,2,2,1))]. 7268 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(70(a,1),7266(a,1,2,1,2)),flip(a)]. 7269 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(314(a,1),7268(a,1,2,1)),flip(a)]. 7270 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(6667(a,1),7269(a,1,2,1))]. 7271 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(5203(a,1),7270(a,1,2,1)),flip(a)]. 7272 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(7255(a,1),5694(a,1))]. 7273 L(T(x,y),T(z,x),K(x,z)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(5182(a,2),5231(a,1,1,3))]. 7274 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [para(5910(a,1),7273(a,1,1)),flip(a)]. 7275 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(5538(a,2),7274(a,1,2))]. 7278 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(5439(a,1),703(a,2,1)),flip(a)]. 7279 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5828,a,7278,a)]. 7280 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(5441(a,1),918(a,1,1,1))]. 7281 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(848(a,1),5529(a,1,2))]. 7282 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(775(a,2),5644(a,1,2,2,1))]. 7283 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(5906(a,1),5914(a,1,2))]. 7284 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. [hyper(255,a,127,a(flip),b,6339,a)]. 7287 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(3837(a,2),6340(a,2,2))]. 7288 ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). [para(1299(a,1),6350(a,1,2))]. 7289 K((x / y) \ 1,z \ (y / x)) = K(y / x,((z * x) / y) \ 1). [hyper(255,a,6001,a(flip),b,6401,a(flip)),flip(a)]. 7290 K((x / y) \ 1,z \ (y / x)) = K(y / x,y / (z * x)). [hyper(255,a,5786,a(flip),b,7289,a)]. 7292 K(x / y,x / (z * y)) != u | K(x / y,z \ (x / y)) = u. [para(7290(a,1),6146(a,1))]. 7293 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(4177(a,1),6503(a,2,2))]. 7294 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(255,a,4183,a(flip),b,7293,a(flip))]. 7295 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3371(a,1),7294(a,1,2,2)),flip(a)]. 7296 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(3371(a,1),7295(a,1,1,1)),flip(a)]. 7297 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [para(7296(a,1),73(a,1,1))]. 7298 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(129(a,1),7297(a,1,1,1,1))]. 7299 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(129(a,1),7298(a,2,2))]. 7300 K(x,y \ z) * K((z \ y) \ x,x) = x \ R(x,(z \ y) \ 1,x). [para(5734(a,1),6611(a,1,2))]. 7301 K(x,y \ z) * K(y \ (z * x),x) = x \ R(x,(z \ y) \ 1,x). [para(7043(a,1),7300(a,1,2))]. 7302 (x * (y * T(z,y))) \ ((x * y) * T(z,y)) = a(x,y * K(z,y),z). [para(6730(a,1),6724(a,1,2))]. 7303 a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. [para(7302(a,1),636(a,1))]. 7304 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6821(a,2),6933(a,1))]. 7305 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(7082(a,1),7122(a,1))]. 7306 L(K(x,y),z \ u,z) != w | K(x,(z * ((z \ u) / y)) \ u) = w. [para(73(a,1),7305(a,1,1,2))]. 7308 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (y / x)) \ u) = w. [para(7246(a,1),7305(a,1,1))]. 7309 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. [para(7247(a,1),7305(a,1,1))]. 7310 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(255,a,7208,a(flip),b,7195,a(flip))]. 7311 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(7310(a,1),5605(a,1,2,1)),flip(a)]. 7312 R(x,K(y,z),K(u,y)) = R(x,K(u,y),K(y,z)). [hyper(2087,a,7237,a),flip(a)]. 7313 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(2216(a,1),7282(a,1,2))]. 7314 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(255,a,7284,a(flip),b,7287,a(flip))]. 7315 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [para(7314(a,1),73(a,1,1))]. 7316 R(x,K(y \ 1,z),y) != u | R(x,y,K(y \ 1,z)) = u. [para(7288(a,1),466(a,1))]. 7317 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(7311(a,2),5613(a,1))]. 7318 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). [para(3989(a,1),4913(a,1,2,1)),flip(a)]. 7319 T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). [hyper(255,a,5103,a(flip),b,7318,a(flip))]. 7321 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(80,a,5294,a(flip),b,5225,a),flip(a)]. 7322 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(5380(a,1),5908(a,1,1))]. 7323 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3461(a,1),6134(a,1,3))]. 7324 T(x,y) \ (1 / (1 / T((T(z,x) * x) / T(z,x),y))) = (T(T(x,z),y) \ 1) * T(x,y). [para(4459(a,1),6325(a,2,1,1))]. 7325 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(6107(a,1),6344(a,1,2))]. 7326 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(73(a,1),6549(a,1,1,1,1,2)),flip(a)]. 7327 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6707(a,1),7326(a,1,2))]. 7328 K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). [hyper(22,a,3974,a,b,7327,a),flip(a)]. 7329 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5763(a,1),7327(a,1,2))]. 7330 K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). [para(70(a,1),7328(a,2,1,2))]. 7331 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). [hyper(255,a,3879,a,b,7330,a(flip)),flip(a)]. 7332 (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). [para(3187(a,1),7331(a,1,1,2))]. 7333 K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). [hyper(4043,a,7332,a),flip(a)]. 7334 K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). [para(128(a,2),7333(a,1,2,2))]. 7335 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). [hyper(255,a,5891,a(flip),b,7334,a(flip))]. 7336 K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). [hyper(255,a,7019,a(flip),b,7335,a(flip))]. 7337 K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). [hyper(255,a,7328,a,b,7336,a(flip)),flip(a)]. 7338 (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). [para(935(a,1),6550(a,1,1))]. 7339 (1 / x) * ((x \ y) \ T((x \ y) * x,x)) = (x \ T(y,x)) * ((x \ y) \ 1). [para(1677(a,1),7338(a,1,1)),flip(a)]. 7343 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6618(a,1),6650(a,1,2)),flip(a)]. 7344 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(255,a,35,a,b,7343,a)]. 7345 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(7343(a,2),466(a,1))]. 7346 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(255,a,51,a,b,7344,a(flip)),flip(a)]. 7347 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(6041(a,1),6980(a,2,2))]. 7348 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(127(a,1),7094(a,1,1,2,2))]. 7349 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(5145(a,2),7348(a,1,1))]. 7350 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(5311(a,1),7104(a,1,1,2))]. 7351 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(5284(a,1),7350(a,1,2,2))]. 7352 (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(7259(a,1),4020(a,2,1)),flip(a)]. 7353 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(7251(a,1),7308(a,1))]. 7354 K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. [para(7248(a,1),7309(a,1))]. 7355 (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). [para(5060(a,1),7339(a,1,2)),flip(a)]. 7356 K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). [hyper(255,a,5442,a,b,7355,a),flip(a)]. 7357 (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). [para(18(a,1),7356(a,2,2,1)),flip(a)]. 7358 (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). [para(5600(a,1),7357(a,1,2))]. 7359 K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). [para(7224(a,2),7358(a,1,1))]. 7360 K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). [para(17(a,1),7359(a,1,2))]. 7361 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(255,a,7329,a(flip),b,7347,a)]. 7362 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(255,a,5055,a(flip),b,5068,a(flip))]. 7363 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(4058(a,2),5070(a,1,1))]. 7366 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(6086(a,1),6089(a,1,3)),flip(a)]. 7367 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(7366(a,1),25(a,1))]. 7368 ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). [hyper(5484,a,6330,a),flip(a)]. 7369 (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). [para(1952(a,1),7368(a,1,1))]. 7370 (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. [hyper(255,a,6449,a(flip),b,7369,a)]. 7371 (R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1. [hyper(255,a,6452,a(flip),b,7370,a(flip)),flip(a)]. 7372 T(R(x,y,z) \ x,x \ 1) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(172,a,7371,a,b,19,a)]. 7374 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(255,a,6136,a(flip),b,7372,a)]. 7375 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(41,a,7374,a)]. 7376 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(7375(a,1),5309(a,1,1,1))]. 7377 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). [para(7376(a,1),2168(a,1,1)),flip(a)]. 7378 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(255,a,5786,a(flip),b,6397,a)]. 7379 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(255,a,6363,a(flip),b,7378,a(flip)),flip(a)]. 7380 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(5583(a,1),7379(a,1,1))]. 7381 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(255,a,7208,a(flip),b,7380,a(flip))]. 7382 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(19(a,1),7381(a,1,2,1,1)),flip(a)]. 7383 K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). [para(5904(a,1),7381(a,1,2,1))]. 7384 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(255,a,7206,a(flip),b,7382,a(flip))]. 7387 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(6741(a,1),6743(a,2,2))]. 7388 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(18(a,1),7280(a,2,1,1))]. 7389 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(5116(a,2),7362(a,1,2))]. 7390 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(230,a,7363,a),flip(a)]. 7391 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(7070(a,1),7390(a,2,1))]. 7392 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(7391(a,1),6237(a,1,2)),flip(a)]. 7393 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(255,a,5605,a(flip),b,7392,a)]. 7395 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(255,a,6429,a(flip),b,7393,a(flip)),flip(a)]. 7396 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(255,a,5585,a(flip),b,7393,a(flip)),flip(a)]. 7397 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(255,a,6402,a,b,7396,a(flip)),flip(a)]. 7398 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [hyper(255,a,4672,a(flip),b,7387,a)]. 7399 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(224,a,7389,a),flip(a)]. 7400 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(7397(a,1),7399(a,2,2))]. 7402 (x \ (y * (T(z,x) \ z))) * x = ((x \ y) * x) * (T(z,x) \ z). [para(167(a,1),5052(a,1,1)),flip(a)]. 7404 ((x \ y) * x) * (T(z,x) \ z) = (x \ (y * K(x,z))) * x. [para(5177(a,2),7402(a,1,1,2,2)),flip(a)]. 7405 (x \ (y * K(x,z))) * x = ((x \ y) * x) * K(x,z). [para(5177(a,2),7404(a,1,2)),flip(a)]. 7407 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(23,a,6719,a,b,7405,a)]. 7408 x * ((x \ y) * K(x,z)) = y * K(x,z). [para(7407(a,1),19(a,1,2))]. 7410 (x * y) * K(x,z) = x * (y * K(x,z)). [para(18(a,1),7408(a,1,2,1)),flip(a)]. 7411 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(7119,a,7410,a),flip(a)]. 7412 R(x,y,K(x,z)) = x. [hyper(454,a,7410,a)]. 7413 L(K(x,y),z,x) = K(x,y). [hyper(422,a,7410,a)]. 7416 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(7410(a,1),6663(a,1,1))]. 7417 R(T(x,y),z,K(x,u)) = T(x,y). [para(7412(a,1),47(a,2,1))]. 7418 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(7412(a,1),51(a,1,1)),flip(a)]. 7419 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(7412(a,1),459(a,1,1,1)),flip(a)]. 7420 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(7412(a,1),460(a,1,1,1)),flip(a)]. 7421 R(K(x,y),z,K(y,u)) = K(x,y). [para(7412(a,1),6377(a,1,2)),flip(a)]. 7424 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(7305,a,7413,a)]. 7426 a(x,y,K(x,z)) = 1. [hyper(39,a,7413,a)]. 7427 K(L(x,y,x),z) = K(x,z). [hyper(255,a,7046,a(flip),b,7413,a(flip)),flip(a)]. 7428 K(x,L(y,z,x)) = K(x,y). [hyper(255,a,7009,a(flip),b,7413,a(flip)),flip(a)]. 7431 K(T(x / (x / y),x),z) = K(y,z). [para(4593(a,2),7427(a,1,1))]. 7432 K(R(x,y,x),z) = K(x,z). [para(4816(a,1),7427(a,1,1)),flip(a)]. 7433 T(x,L(y,z,y)) = x / K(y,x). [para(7427(a,1),5197(a,2,2))]. 7434 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(7427(a,1),5336(a,1,1))]. 7435 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(50(a,1),7428(a,1,2))]. 7436 K(x,(x \ 1) \ y) = K(x,x * y). [para(437(a,1),7428(a,1,2)),flip(a)]. 7437 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(677(a,1),7428(a,1,2)),flip(a)]. 7438 L(x * K(y,x),z,y) = L(x,z,y) * K(y,x). [para(7428(a,1),5984(a,1,2)),flip(a)]. 7439 K(x,K(y,L(z,u,x))) = K(x,K(y,z)). [para(7009(a,1),7428(a,1,2))]. 7440 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(7428(a,1),7046(a,1,1)),flip(a)]. 7441 K(x,(y * (x / y)) \ (x * z)) = K(x,K(y \ x,y) * z). [para(7131(a,1),7428(a,1,2))]. 7442 R(K(x,y),z,x) = K(x,y). [hyper(255,a,7206,a(flip),b,7432,a(flip)),flip(a)]. 7443 K(T(x,x \ y),z) = K(T(x,y),z). [para(4642(a,1),7432(a,1,1))]. 7444 R(x,y,x) * K(x,z) = T(R(x,y,x),z). [para(7432(a,1),5252(a,2,2)),flip(a)]. 7445 x * K(R(x,y,x),z) = T(x,z). [para(7432(a,2),5252(a,2,2)),flip(a)]. 7446 K(x,R(y,z,y)) = 1 / K(y,x). [para(7432(a,1),5394(a,1,2)),flip(a)]. 7449 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(7432(a,1),5592(a,1,1))]. 7450 (K(x,y) * z) * x = K(x,y) * (z * x). [para(7432(a,1),7209(a,1,1)),flip(a)]. 7451 K(x,R(y,z,x)) = K(x,y). [hyper(255,a,6382,a(flip),b,7442,a(flip)),flip(a)]. 7452 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(255,a,6374,a(flip),b,7442,a(flip)),flip(a)]. 7455 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(7442(a,1),5868(a,1,1)),flip(a)]. 7456 T(x,R(y,z,x)) = x * K(x,y). [para(7451(a,1),5252(a,2,2))]. 7457 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(6382(a,1),7451(a,1,2))]. 7464 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(7417(a,1),7346(a,1,1)),flip(a)]. 7465 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(7421(a,1),122(a,1,1)),flip(a)]. 7466 T(x,L(y,z,y)) = T(x,y). [hyper(255,a,5197,a,b,7433,a)]. 7467 T(x,L(y,z,y)) = x * K(x,y). [hyper(255,a,6673,a(flip),b,7433,a)]. 7468 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(6157,a,7466,a),flip(a)]. 7471 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(7466(a,1),127(a,1,2))]. 7473 T(x,T(y / z,y)) = T(x,z \ y). [para(4595(a,1),7466(a,1,2))]. 7474 T(x,R(y,z,y)) = T(x,y). [para(4816(a,1),7466(a,1,2)),flip(a)]. 7475 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(6157,a,7474,a),flip(a)]. 7476 T(x / y,R(y,z,y)) = y \ x. [hyper(255,a,129,a(flip),b,7474,a)]. 7477 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(7474(a,1),127(a,1,2))]. 7479 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4642(a,1),7474(a,1,2))]. 7480 T(x,(y * z) / y) = T(x,y / (y / z)). [para(4824(a,1),7474(a,1,2))]. 7481 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(80,a,7445,a(flip),b,7313,a),flip(a)]. 7482 K(x,R(y,z,y)) = K(x,y). [hyper(255,a,5394,a(flip),b,7446,a)]. 7483 K(x,R(y,z,y)) != u | K(x,y) = u. [para(7446(a,2),5395(a,1))]. 7484 R(K(x,y),z,y) = K(x,y). [hyper(255,a,6396,a(flip),b,7482,a(flip)),flip(a)]. 7485 K(x,T(y,y * z)) = K(x,T(y,z)). [para(4578(a,1),7482(a,1,2)),flip(a)]. 7486 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4642(a,1),7482(a,1,2))]. 7487 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(7482(a,1),5986(a,1,2)),flip(a)]. 7488 (K(x,y) * z) * y = K(x,y) * (z * y). [para(7484(a,1),122(a,1,1)),flip(a)]. 7489 T(x,R(y,z,x)) = T(x,y). [hyper(255,a,5252,a,b,7456,a)]. 7496 T(x,(y * x) / z) = T(x,y / (z / x)). [para(474(a,1),7489(a,1,2))]. 7497 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(682(a,1),7489(a,1,2))]. 7502 K(x,L(y,z,y)) = K(x,y). [hyper(5323,a,7467,a)]. 7503 L(K(x,y),z,y) = K(x,y). [hyper(7017,a,7502,a)]. 7505 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(7304,a,7503,a)]. 7506 K(L(x,y,z),z) = K(x,z). [hyper(255,a,7046,a(flip),b,7503,a(flip)),flip(a)]. 7507 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(255,a,7032,a(flip),b,7503,a(flip))]. 7509 (x * y) * K(z,x) = x * (y * K(z,x)). [para(7503(a,1),112(a,1,2))]. 7513 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(50(a,1),7506(a,1,1))]. 7514 T(x * K(y,x),L(y,z,x)) = x. [para(7506(a,1),5216(a,1,1,2))]. 7515 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(7131(a,1),7506(a,1,1))]. 7516 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(7476(a,1),127(a,1,2))]. 7517 T(x,L(y,z,x)) = T(x,y). [para(7514(a,1),5295(a,1,1)),flip(a)]. 7518 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(241(a,1),7517(a,1,2))]. 7519 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(439(a,1),7517(a,1,2)),flip(a)]. 7520 K((x \ y) \ y,z) = K(T(x,y),z). [para(145(a,1),7431(a,1,1,1)),flip(a)]. 7521 L(K(x,x * (y \ z)),y \ z,y) != u | K(x,(y * (x \ 1)) \ z) = u. [para(7436(a,1),7305(a,1,1))]. 7522 K(T(x,y),z) = T(K(x,z),y). [hyper(255,a,6790,a(flip),b,7443,a(flip))]. 7523 K(T(x,y),y / z) = K(x,z \ y). [hyper(255,a,6599,a(flip),b,7522,a)]. 7524 K(T(x,K(y,z)),y) = K(x,y). [hyper(255,a,2072,a(flip),b,7522,a)]. 7525 x * K(T(y,x),z) = K(y,z) * x. [para(7522(a,2),127(a,1,2))]. 7526 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(7522(a,1),5263(a,2,1)),flip(a)]. 7527 (K(x,y) * z) * K(T(y,z),x) = z. [para(7522(a,2),6750(a,1,2))]. 7528 K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). [para(7524(a,1),5263(a,2,1)),flip(a)]. 7529 T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x). [para(7524(a,1),5707(a,1,2))]. 7530 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(70(a,1),7473(a,1,2,1)),flip(a)]. 7534 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(4642(a,1),7483(a,1,2))]. 7535 K(x,T(y,L(y,z,u) * (y \ w))) = K(x,T(y,L(y,z,u) * w)). [para(1421(a,1),7485(a,1,2,2)),flip(a)]. 7536 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(1990(a,1),7485(a,1,2)),flip(a)]. 7537 K(x,T(y,z * y)) = K(x,T(y,z)). [para(4563(a,2),7485(a,1,2))]. 7539 K(x,T(y,z)) = T(K(x,y),z). [hyper(255,a,6953,a(flip),b,7486,a(flip))]. 7540 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(128(a,1),7486(a,1,2))]. 7541 K(x,T(y * z,y \ 1)) = K(x,T(y * z,z)). [para(4410(a,1),7486(a,1,2))]. 7542 K(T(x,y),z) = K(x,T(z,y)). [hyper(255,a,7522,a,b,7539,a),flip(a)]. 7543 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(255,a,7004,a,b,7539,a),flip(a)]. 7544 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(255,a,6757,a,b,7539,a),flip(a)]. 7546 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [hyper(255,a,6400,a,b,7539,a),flip(a)]. 7547 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(255,a,6388,a,b,7539,a),flip(a)]. 7548 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(255,a,6096,a,b,7539,a),flip(a)]. 7549 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(255,a,6094,a,b,7539,a),flip(a)]. 7550 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). [hyper(255,a,5971,a,b,7539,a),flip(a)]. 7551 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(255,a,5965,a,b,7539,a),flip(a)]. 7552 K(x / y,T(z,x)) = K(y \ x,z). [hyper(255,a,6755,a(flip),b,7539,a)]. 7553 K(x,T(y,K(x,z))) = K(x,y). [hyper(255,a,6106,a(flip),b,7539,a)]. 7554 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(255,a,3341,a(flip),b,7539,a)]. 7555 K(x,T(y,K(z,x))) = K(x,y). [hyper(255,a,2074,a(flip),b,7539,a)]. 7556 T(K(x * y,x),y) = K(x * y,x). [hyper(255,a,5587,a(flip),b,7539,a(flip))]. 7557 T(T(K(x,y),z),u) = T(K(x,T(y,u)),z). [para(7539(a,2),43(a,1,1)),flip(a)]. 7558 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(43(a,1),7539(a,1,2))]. 7559 x * K(y,T(z,x)) = K(y,z) * x. [para(7539(a,2),127(a,1,2))]. 7561 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7539(a,2),565(a,1,2,2))]. 7564 x * T(K(x,y),z) = T(x,T(y,z)). [para(7539(a,1),5252(a,2,2)),flip(a)]. 7565 T(x,K(y,T(z,x))) != u | T(x,K(y,z)) = u. [para(7539(a,2),5718(a,1,2))]. 7566 K(x,y) * (K(z,u) * x) = T(x,y) * K(z,T(u,x)). [para(7539(a,2),5538(a,2,2))]. 7567 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7539(a,2),6090(a,1,2))]. 7568 K(x,T(y,K(z,u))) * K(u,z) = K(u,z) * K(x,y). [para(7539(a,2),6102(a,1,1))]. 7570 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7539(a,2),6098(a,2,1))]. 7571 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7539(a,2),6247(a,2,2))]. 7572 (K(x,y) * z) * K(y,T(x,z)) = z. [para(7539(a,2),6750(a,1,2))]. 7573 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(7539(a,2),6900(a,1))]. 7575 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(5624,a,7542,a)]. 7576 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(255,a,5139,a(flip),b,7542,a)]. 7577 K(x,T(y,z) \ T(x,z)) = K(x,T(y \ x,z)). [hyper(255,a,7191,a,b,7542,a(flip)),flip(a)]. 7579 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(255,a,6052,a,b,7542,a(flip)),flip(a)]. 7580 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(255,a,6790,a(flip),b,7542,a(flip))]. 7581 T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). [hyper(80,a,7542,a(flip),b,5184,a(flip)),flip(a)]. 7582 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(43(a,1),7542(a,2,2))]. 7583 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(47(a,2),7542(a,1,1))]. 7584 K(x / y,T(z,y)) = K(y \ x,z). [para(129(a,1),7542(a,1,1)),flip(a)]. 7585 K(T(x,y),z / y) = K(x,y \ z). [para(129(a,1),7542(a,2,2))]. 7586 K((x * y) / x,T(z,x)) = K(y,z). [para(166(a,1),7542(a,1,1)),flip(a)]. 7587 K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). [para(138(a,1),7542(a,1,1)),flip(a)]. 7588 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(138(a,1),7542(a,2,2))]. 7589 K(T(x,L(y,z,u)),y) = K(x,y). [para(279(a,1),7542(a,2,2))]. 7590 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(402(a,1),7542(a,1,1)),flip(a)]. 7591 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(277(a,1),7542(a,1,1))]. 7592 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(773(a,1),7542(a,1,1)),flip(a)]. 7593 T(x,K(y,T(x,z))) = x. [para(7542(a,1),3140(a,1,2))]. 7594 x / K(y,T(x,z)) = T(x,T(y,z)). [para(7542(a,1),5197(a,2,2)),flip(a)]. 7595 T(x,y) * K(x,T(z,y)) = T(T(x,y),z). [para(7542(a,1),5252(a,2,2)),flip(a)]. 7598 K(x,T(y,K(z,z \ x))) = K(x,y). [para(5661(a,1),7542(a,1,1)),flip(a)]. 7599 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(7542(a,1),5560(a,1,1))]. 7600 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7542(a,1),5623(a,1,1))]. 7601 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(7542(a,1),5337(a,1,1))]. 7603 a(x,y,K(z,T(y,u))) = 1. [para(7542(a,1),6579(a,1,3))]. 7605 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(7542(a,1),6784(a,1,1,2))]. 7607 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7542(a,1),6677(a,1,2))]. 7609 x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). [para(7542(a,1),6741(a,1,2,2))]. 7611 K(x,T(y,K(z,L(x,u,w)))) = K(x,y). [para(7015(a,1),7542(a,1,1)),flip(a)]. 7612 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [para(7542(a,1),7236(a,1,2)),flip(a)]. 7613 K(x,T(y,z)) * y = y * K(x,T(y,z)). [para(7593(a,1),127(a,1,2))]. 7614 T(x / y,K(z,y \ x)) = x / y. [para(129(a,1),7593(a,1,2,2))]. 7615 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(38,a,7603,a)]. 7616 K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). [para(47(a,2),7553(a,1,2))]. 7618 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(129(a,1),7554(a,1,2)),flip(a)]. 7620 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(641(a,1),7520(a,1,1,1)),flip(a)]. 7621 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(6680(a,1),7520(a,1,1)),flip(a)]. 7622 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7520(a,1),7030(a,1,1)),flip(a)]. 7623 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(773(a,1),7523(a,1,1))]. 7625 x * K(T(y,x),z) = K(z,y) \ x. [hyper(255,a,5600,a,b,7525,a)]. 7626 K(x / y,z) * y = y * K(y \ x,z). [para(129(a,1),7525(a,1,2,1)),flip(a)]. 7627 K((x * y) / x,z) * x = x * K(y,z). [para(166(a,1),7525(a,1,2,1)),flip(a)]. 7628 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(7525(a,1),7081(a,1,1,2))]. 7629 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. [para(7525(a,1),7083(a,1,1,2))]. 7632 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(6157,a,7530,a),flip(a)]. 7633 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7540(a,1),6986(a,1,1)),flip(a)]. 7635 L(x,y / z,K(z \ y,u)) = x. [para(7552(a,1),4398(a,1,3))]. 7641 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7552(a,1),7205(a,1,1)),flip(a)]. 7643 L(x,(y * z) / y,K(z,u)) = x. [para(18(a,1),7635(a,1,3,1))]. 7645 K(x,y) * (((z * x) / z) * L(u,T(K(x,y),(z * x) / z),(z * x) / z)) = ((z * x) / z) * (T(K(x,y),(z * x) / z) * u). [para(7643(a,1),1006(a,1,2,2)),flip(a)]. 7646 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(6895,a,7559,a)]. 7647 (x \ y) * K(z,T(x,x \ y)) = T(x,z) \ y. [hyper(255,a,5560,a(flip),b,7559,a)]. 7648 x \ (y * K(z,T(x,y))) = T(x,z) \ y. [hyper(80,a,7559,a,b,5225,a)]. 7649 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(22,a,6121,a(flip),b,7559,a)]. 7650 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(5622,a,7559,a(flip))]. 7651 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7559(a,1),24(a,1))]. 7653 K(x,y / z) * z = z * K(x,z \ y). [para(129(a,1),7559(a,1,2,2)),flip(a)]. 7654 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(7539(a,2),7559(a,1,2,2))]. 7656 T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). [hyper(5978,a,7564,a)]. 7657 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(7564(a,1),6551(a,1,2,2))]. 7658 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7575(a,1),5384(a,1))]. 7659 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(255,a,7539,a,b,7580,a)]. 7660 T(K(x,y),x * z) = K(x,T(y,z)). [para(18(a,1),7580(a,1,2,2)),flip(a)]. 7661 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(138(a,1),7584(a,1,2))]. 7665 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(773(a,1),7585(a,1,1))]. 7666 (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. [para(7585(a,1),6795(a,1,2))]. 7667 L(x,K(y,z),(u * y) / u) = x. [para(7586(a,1),4723(a,1,2))]. 7668 L(x,T(T(y,z),u),K(w,y)) = x. [para(7586(a,1),6395(a,1,3))]. 7669 a(x,T(y,z),K(u,y)) = 1. [para(7586(a,1),6579(a,1,3))]. 7670 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7586(a,1),7092(a,1,2))]. 7671 L(K(x,y),T(y,z),u) = K(x,y). [hyper(38,a,7669,a)]. 7674 (K(x,y) * T(T(y,z),u)) * w = K(x,y) * (T(T(y,z),u) * w). [para(7668(a,1),112(a,1,2))]. 7676 (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). [hyper(255,a,5727,a,b,7671,a(flip)),flip(a)]. 7677 (x * T(y,z)) * L(K(u,y),w,v5) = x * (T(y,z) * L(K(u,y),w,v5)). [para(7671(a,1),429(a,1,2,1))]. 7678 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(7590(a,1),5263(a,2,1))]. 7679 T(x,T(y,z) \ T(x,z)) = T(x,T(y \ x,z)). [hyper(7190,a,7594,a)]. 7680 K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). [para(6686(a,1),7598(a,1,2))]. 7681 K(x / y,z) \ y = y * K(z,y \ x). [para(7585(a,1),7625(a,1,2)),flip(a)]. 7683 K(x,T(y,x * z)) = K(x,T(y,z)). [para(18(a,1),7659(a,1,2,2)),flip(a)]. 7684 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(47(a,2),7659(a,1,2))]. 7685 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(7659(a,1),5252(a,2,2))]. 7686 K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)). [para(6854(a,1),7659(a,1,2))]. 7687 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(7659(a,1),7208(a,1,1))]. 7688 (x * y) * K(x,T(z,y)) = K(x,z) * (x * y). [para(7660(a,1),127(a,1,2))]. 7689 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(7670(a,1),488(a,1,1))]. 7690 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(129(a,1),7683(a,1,2)),flip(a)]. 7691 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [para(7418(a,1),379(a,1,1)),flip(a)]. 7693 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(685(a,1),7457(a,1,2,2))]. 7695 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(255,a,7032,a(flip),b,7615,a(flip))]. 7696 K(x \ 1,x) * K(y,T(x,z)) = (x \ 1) * (x * K(y,T(x,z))). [para(7615(a,1),433(a,1,2))]. 7697 K(x,T(y,z)) * K(y \ 1,y) = (y \ 1) * (y * K(x,T(y,z))). [para(7615(a,1),2278(a,1,1))]. 7698 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(7539(a,1),7658(a,1))]. 7699 K(T(x,x \ y),z) != u | K(T(x,y),z) = u. [para(6790(a,2),7698(a,1))]. 7700 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(255,a,7249,a,b,7411,a(flip)),flip(a)]. 7701 K(x,y \ (z * x)) = K(x,y \ (x * z)). [hyper(255,a,7247,a(flip),b,7411,a(flip)),flip(a)]. 7702 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(19(a,1),7411(a,2,2,2))]. 7703 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(255,a,6973,a,b,7424,a(flip)),flip(a)]. 7704 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(255,a,6826,a,b,7424,a(flip)),flip(a)]. 7705 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(190(a,1),7424(a,1,2,1)),flip(a)]. 7706 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(7424(a,1),6906(a,2,2))]. 7707 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). [para(7424(a,1),6989(a,1,1))]. 7708 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(3327,a,7434,a)]. 7709 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(80,a,7434,a(flip),b,5550,a),flip(a)]. 7710 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(255,a,47,a,b,7444,a)]. 7711 L(x,y,K(x,z)) = x. [hyper(422,a,7450,a)]. 7712 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(255,a,5538,a(flip),b,7450,a)]. 7714 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(172,a,7450,a,b,5850,a)]. 7715 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). [para(7450(a,1),162(a,2,1)),flip(a)]. 7716 (K(x,y) * z) / x = K(x,y) * (z / x). [para(7711(a,1),483(a,1,2))]. 7717 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(7711(a,1),428(a,1,2,1))]. 7718 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(7711(a,1),429(a,1,2,1))]. 7722 L(K(x,y),z,K(y,u)) = K(x,y). [para(7711(a,1),7007(a,1,2)),flip(a)]. 7723 L(K(x,y),z,K(x,u)) = K(x,y). [para(7711(a,1),7044(a,1,1)),flip(a)]. 7727 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [hyper(255,a,7037,a(flip),b,7722,a(flip))]. 7728 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(255,a,7009,a(flip),b,7723,a(flip)),flip(a)]. 7729 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(7723(a,1),45(a,2,1))]. 7730 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(5629(a,1),7728(a,1,2)),flip(a)]. 7734 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(7464(a,1),1319(a,1,1))]. 7736 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(7464(a,1),7482(a,1,2))]. 7737 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(47(a,1),7736(a,1,2))]. 7738 K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)). [para(4578(a,1),7737(a,1,2,1)),flip(a)]. 7739 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(7468(a,1),127(a,1,2)),flip(a)]. 7741 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(129(a,1),7471(a,1,2))]. 7743 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(7475(a,1),127(a,1,2)),flip(a)]. 7745 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(6201,a,7480,a),flip(a)]. 7746 L(x,y,K(z,x)) = x. [hyper(422,a,7488,a)]. 7748 K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). [para(7488(a,1),5539(a,1,2,2))]. 7750 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(7746(a,1),50(a,1,1)),flip(a)]. 7751 L(K(x,y),z,K(u,y)) = K(x,y). [para(7746(a,1),7007(a,1,2)),flip(a)]. 7752 L(K(x,y),z,K(u,x)) = K(x,y). [para(7746(a,1),7044(a,1,1)),flip(a)]. 7753 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(255,a,7046,a(flip),b,7751,a(flip)),flip(a)]. 7754 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [para(7751(a,1),112(a,1,2))]. 7755 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(255,a,7009,a(flip),b,7752,a(flip)),flip(a)]. 7756 L(R(K(x,y),z,u),w,K(v5,x)) = R(K(x,y),z,u). [para(7752(a,1),49(a,1,1)),flip(a)]. 7757 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(7753(a,1),5292(a,2,1,1))]. 7758 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(50(a,1),7755(a,1,2))]. 7759 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(255,a,6970,a,b,7505,a(flip)),flip(a)]. 7760 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(255,a,6966,a,b,7505,a(flip)),flip(a)]. 7761 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(19(a,1),7505(a,1,1,1)),flip(a)]. 7762 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(7505(a,1),6773(a,1,2))]. 7763 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(7507(a,1),5991(a,1,1,1,2))]. 7764 R(x,y,K(z,x)) = x. [hyper(454,a,7509,a)]. 7768 R(R(x,y,z),u,K(w,x)) = R(x,y,z). [para(7764(a,1),51(a,1,1)),flip(a)]. 7770 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(7764(a,1),459(a,1,1,1)),flip(a)]. 7771 (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). [para(7764(a,1),460(a,1,1,1)),flip(a)]. 7772 R(x,y,K(z,T(x,u))) = x. [para(7542(a,1),7764(a,1,3))]. 7773 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(7772(a,1),460(a,1,1,1)),flip(a)]. 7774 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(7772(a,1),7209(a,1,1,1)),flip(a)]. 7775 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = ((x * K(y,z)) * R(z,u,w)) / K(y,z). [para(7768(a,1),778(a,1,1,2)),flip(a)]. 7776 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(127(a,1),7518(a,1,2,1)),flip(a)]. 7777 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(6850(a,1),7536(a,1,2)),flip(a)]. 7778 K(x,T(y \ 1,z)) = K(x,(y * z) \ z). [hyper(6896,a,7550,a),flip(a)]. 7780 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(279(a,1),7551(a,1,1,1)),flip(a)]. 7781 K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). [hyper(255,a,7539,a,b,7557,a),flip(a)]. 7782 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(6955,a,7567,a)]. 7783 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(255,a,6301,a,b,7782,a(flip)),flip(a)]. 7784 K(x \ y,K(x,z)) = K(y,K(x,z)). [para(19(a,1),7782(a,1,1)),flip(a)]. 7785 R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). [para(7581(a,1),2100(a,1,2))]. 7786 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(47(a,2),7588(a,1,1))]. 7787 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(5933,a,7595,a)]. 7788 K(x,y) \ T(T(x,y),z) = T(x,T(z,y)). [hyper(80,a,7595,a(flip),b,5558,a)]. 7790 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(7466(a,1),7646(a,1,2,1))]. 7791 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(5785(a,1),7653(a,1,1)),flip(a)]. 7792 T(x,T(y \ 1,z)) = T(x,(y * z) \ z). [hyper(6901,a,7656,a),flip(a)]. 7793 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(255,a,5263,a,b,7678,a)]. 7794 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(5216(a,1),7793(a,1,2,2,1))]. 7795 T(x / y,z) \ x = y * K(z,y \ x). [hyper(255,a,5667,a,b,7681,a(flip)),flip(a)]. 7797 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(255,a,5252,a,b,7685,a)]. 7799 T(x,T(y,x \ y)) = T(x,y). [para(126(a,1),7797(a,2,2))]. 7800 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(7797(a,1),5253(a,1,2,1))]. 7801 T(x,T(x * y,y)) = T(x,x * y). [para(18(a,1),7799(a,1,2,2))]. 7802 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(19(a,1),7701(a,2,2,2))]. 7803 L(K(x,x \ (y \ z)),y \ z,y) = K(x,y \ (x \ z)). [hyper(7064,a,7703,a)]. 7804 L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). [hyper(7063,a,7703,a)]. 7805 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [hyper(255,a,6971,a,b,7703,a(flip)),flip(a)]. 7806 K(x,y \ (x \ (y * (x * z)))) = K(x,L(z,x,y)). [para(33(a,2),7703(a,1,2)),flip(a)]. 7807 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(114(a,2),7703(a,1,2))]. 7808 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(179(a,1),7703(a,1,2)),flip(a)]. 7809 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(6369(a,1),7708(a,2,1))]. 7810 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(7708(a,1),6307(a,1,1)),flip(a)]. 7811 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(80,a,7710,a(flip),b,5548,a)]. 7812 (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). [para(5221(a,2),7712(a,1,1))]. 7813 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [para(5536(a,1),7712(a,1,1)),flip(a)]. 7814 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(6559,a,7714,a),flip(a)]. 7815 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6558,a,7714,a)]. 7816 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(255,a,6055,a(flip),b,7714,a)]. 7817 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(19(a,1),7714(a,1,1)),flip(a)]. 7818 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(45(a,2),7714(a,2,2))]. 7819 K(x \ (y \ (z * y)),y) = K(x \ z,y). [hyper(255,a,7240,a(flip),b,7759,a(flip))]. 7820 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(7759(a,1),5991(a,1,1,1,2))]. 7822 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(7539(a,2),7787(a,1,2,2))]. 7823 L(T(x,T(y,z)),K(x,z),z * x) = (x * z) \ ((T(x,y) * z) * x). [para(7788(a,1),4813(a,1,1))]. 7824 x / T(y \ x,z) = T(x / y,z) \ x. [hyper(255,a,6777,a,b,7795,a),flip(a)]. 7825 x / (y * K(z,y \ x)) = T(x / y,z). [para(7795(a,1),70(a,1,2))]. 7826 T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). [para(7802(a,1),5252(a,2,2))]. 7827 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(18(a,1),7815(a,1,2,1)),flip(a)]. 7828 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(7815(a,1),6560(a,1,1)),flip(a)]. 7829 K(x \ 1,y) * (x \ K(y,z)) = T(x \ K(y,z),y). [hyper(255,a,5525,a,b,7817,a(flip)),flip(a)]. 7831 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = T(u / z,x) * z. [para(7817(a,1),1719(a,1,1)),flip(a)]. 7832 K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. [para(7817(a,1),6827(a,1,1,2)),flip(a)]. 7833 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(255,a,7761,a(flip),b,7819,a(flip))]. 7837 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(7824(a,1),73(a,1,1))]. 7838 T(x / (x / y),z) \ x = x / T(y,z). [para(73(a,1),7824(a,1,2,1)),flip(a)]. 7839 (x * y) / (x * K(z,y)) = T((x * y) / x,z). [para(18(a,1),7825(a,1,2,2,2))]. 7841 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5726(a,1),7827(a,1,1)),flip(a)]. 7842 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(6716,a,7828,a)]. 7843 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(255,a,6629,a,b,7828,a),flip(a)]. 7844 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(80,a,7828,a,b,5220,a)]. 7846 K(x \ ((y \ z) * y),y) = K(x \ z,y). [hyper(255,a,7761,a(flip),b,7833,a(flip))]. 7847 K(x \ (y * z),z) = K(x \ (z * y),z). [hyper(255,a,7507,a(flip),b,7833,a(flip))]. 7849 K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). [para(7837(a,1),7540(a,1,2)),flip(a)]. 7851 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(5885(a,1),7838(a,1,1,1))]. 7852 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(172,a,7842,a(flip),b,5535,a)]. 7854 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [para(7842(a,2),6663(a,1,1))]. 7855 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(5829,a,7852,a)]. 7857 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [para(129(a,1),7852(a,1,1)),flip(a)]. 7859 T(x,K(y,z)) * y = y * T(x,T(y,z)). [para(7852(a,1),182(a,1,2)),flip(a)]. 7860 T(x,T(y,y \ 1)) != z | T(x,y) = z. [para(7852(a,1),6155(a,1)),flip(b)]. 7861 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(7852(a,1),7555(a,1,2))]. 7862 K(x,T(y,T(z,L(x,u,w)))) = K(x,T(y,z)). [para(7852(a,1),7611(a,1,2))]. 7863 T(1 / x,T(y,x)) = T(1 / x,y). [para(2337(a,1),7855(a,1,1)),flip(a)]. 7865 L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x). [para(7855(a,1),4672(a,1,2)),flip(a)]. 7866 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(6105(a,1),7855(a,1,1)),flip(a)]. 7867 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(129(a,1),7861(a,1,2,2)),flip(a)]. 7868 T(1 / (x \ y),T(x,y)) = T(1 / (x \ y),x). [hyper(255,a,7479,a(flip),b,7863,a(flip)),flip(a)]. 7870 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(255,a,7479,a(flip),b,7866,a(flip)),flip(a)]. 7871 T(x,(y \ 1) \ 1) != z | T(x,y) = z. [para(128(a,1),7860(a,1,2))]. 7876 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(255,a,6909,a,b,7857,a(flip)),flip(a)]. 7879 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(255,a,7659,a(flip),b,7867,a)]. 7881 K(x,T(y,z * x)) = K(x,T(y,z)). [para(20(a,1),7879(a,1,2,2)),flip(a)]. 7882 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(141(a,1),7879(a,1,2,2)),flip(a)]. 7883 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4659(a,1),7879(a,1,2))]. 7884 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(4660(a,1),7879(a,1,2))]. 7885 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(255,a,7427,a,b,7881,a),flip(a)]. 7886 T(K(x,y),z * x) = K(x,T(y,z)). [hyper(255,a,7539,a(flip),b,7881,a(flip)),flip(a)]. 7887 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(7881(a,1),7559(a,1,2))]. 7888 T(K(x,y),z * x) = T(K(x,y),z). [hyper(255,a,7539,a(flip),b,7886,a)]. 7889 x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). [para(383(a,1),7876(a,2,1))]. 7891 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. [para(603(a,2),7534(a,1))]. 7895 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(6953(a,1),7534(a,1))]. 7899 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7522(a,2),7895(a,1))]. 7900 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(7580(a,2),7895(a,1))]. 7902 T(K(x,y),z * x) != u | K(x,T(y,z)) = u. [para(7888(a,2),7895(a,1))]. 7903 K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u. [para(7191(a,2),7899(a,1))]. 7906 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [hyper(255,a,7228,a(flip),b,7729,a(flip)),flip(a)]. 7908 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(5608(a,1),7906(a,1,2)),flip(a)]. 7910 T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5). [para(6205(a,1),7908(a,1,2,1))]. 7911 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(255,a,5292,a,b,7757,a)]. 7912 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(114(a,1),7911(a,1,2))]. 7913 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(129(a,1),7862(a,1,2,2)),flip(a)]. 7914 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(7539(a,2),7902(a,1))]. 7915 K(x * y,T(y,z * (y * x))) != u | K(y * x,T(y,z)) = u. [para(6408(a,2),7914(a,1))]. 7917 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(7416(a,1),6724(a,1,2))]. 7921 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(255,a,3146,a(flip),b,7487,a)]. 7922 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(6209(a,1),7487(a,2,2))]. 7923 K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). [hyper(255,a,7855,a(flip),b,7528,a)]. 7924 K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). [hyper(5854,a,7923,a)]. 7925 K(R((x * y) / x,z,u),T(w,y * x)) = K(R(L(y,x,y),z,u),w). [para(618(a,1),7583(a,1,1,1)),flip(a)]. 7926 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1956(a,1),7583(a,1,1)),flip(a)]. 7927 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(3140(a,1),7583(a,2,2))]. 7928 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(6686(a,1),7616(a,1,2,1))]. 7931 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6907(a,2),7657(a,1,2))]. 7933 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [hyper(255,a,6194,a(flip),b,7686,a(flip))]. 7934 (x * y) * K(x,K(z,T(u,y))) = K(x,K(z,u)) * (x * y). [para(7539(a,2),7688(a,1,2,2))]. 7935 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(255,a,7424,a(flip),b,7690,a)]. 7936 (x / R(y,z,y)) * y != y * u | R(y,z,y) \ x = u. [para(7743(a,2),24(a,1))]. 7937 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(7110,a,7760,a)]. 7938 K(x \ (y \ 1),y) = K(y \ (x \ 1),y). [hyper(6007,a,7760,a),flip(a)]. 7939 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [hyper(255,a,7761,a(flip),b,7938,a(flip))]. 7940 T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). [para(7939(a,1),5291(a,2,2,2))]. 7941 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(7002(a,1),7777(a,1,2))]. 7942 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(22,a,7559,a,b,7791,a),flip(a)]. 7943 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(255,a,7778,a(flip),b,7942,a(flip)),flip(a)]. 7944 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [para(73(a,1),7942(a,2,2,2))]. 7945 x * K(x,y \ (z \ y)) = T(x,(z * y) \ y). [para(7943(a,1),5252(a,2,2)),flip(a)]. 7946 T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). [hyper(172,a,7812,a,b,1078,a)]. 7948 x * K(T(y,z) \ x,y) = (y \ x) * y. [hyper(6647,a,7813,a)]. 7949 x / T(y,T(y,z) \ x) = y \ x. [hyper(6746,a,7948,a)]. 7950 T(x,T(x,y) \ z) = (x \ z) \ z. [para(7949(a,1),73(a,1,1)),flip(a)]. 7951 T(x,T(x,y) \ z) = T(x,x \ z). [hyper(255,a,128,a,b,7950,a)]. 7954 T(x,x \ (T(x,y) * z)) = T(x,z). [para(18(a,1),7951(a,1,2)),flip(a)]. 7955 T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ z) = T(T(x,y) / (x / y),(x / (x / y)) \ z). [para(4134(a,1),7951(a,1,2,1)),flip(a)]. 7957 T(x,K(x,y) * z) = T(x,z). [para(5534(a,1),7954(a,1,2))]. 7958 T(x,K(x,y) * L(K(z,x),u,w)) = x. [hyper(255,a,3223,a(flip),b,7957,a)]. 7959 T(x,K(y,x) * z) = T(x,z). [para(5608(a,1),7957(a,1,2)),flip(a)]. 7960 T(x,T(y,x) \ z) = T(x,y \ z). [para(5560(a,1),7957(a,1,2))]. 7961 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7957(a,1),5819(a,1,1))]. 7963 T(x,(y / x) \ z) = T(x,(x \ y) \ z). [para(6053(a,1),7957(a,1,2)),flip(a)]. 7965 K(x,T(y,K(x,z) * u)) = K(T(x,u),y). [para(7957(a,1),7542(a,1,1)),flip(a)]. 7966 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7959(a,1),4783(a,1,3))]. 7967 T(x,y * K(z,x)) = T(x,y). [para(7627(a,1),7959(a,1,2))]. 7968 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(7967(a,1),5253(a,1,2,1)),flip(a)]. 7970 T(x,y * K(x,z)) = T(x,y). [para(6672(a,1),7967(a,1,2)),flip(a)]. 7971 T(x,y / (z / x)) = T(x,y / (x \ z)). [para(6878(a,1),7967(a,1,2))]. 7974 K(x,y * K(x,z)) = x \ T(x,y). [hyper(80,a,7970,a(flip),b,5252,a(flip)),flip(a)]. 7975 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(7970(a,1),183(a,1,2,1))]. 7977 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(7970(a,1),4462(a,1,2,1))]. 7978 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(6189(a,1),7970(a,1,2,2))]. 7980 T(x,y * (z * x)) = T(x,y * (x * z)). [para(7053(a,1),7970(a,1,2)),flip(a)]. 7981 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(255,a,7776,a(flip),b,7960,a(flip)),flip(a)]. 7982 K(x,y * K(x,z)) = K(x,y). [hyper(255,a,5186,a,b,7974,a)]. 7983 T(x,K(y,x * K(y,z))) = x. [para(7974(a,2),3151(a,1,2))]. 7984 K(x,y * K(x,z)) != u | K(x,y) = u. [para(7974(a,2),5325(a,1))]. 7987 K(x,y * R(K(x,z),u,w)) = K(x,y). [para(6361(a,1),7982(a,1,2,2))]. 7988 K(x,y * K(z,x)) = K(x,y). [para(6672(a,1),7982(a,1,2)),flip(a)]. 7990 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(6886(a,1),7982(a,1,2)),flip(a)]. 7991 K(x,y \ T(z,x)) = K(x,y \ z). [para(6967(a,1),7982(a,1,2)),flip(a)]. 7992 K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). [para(7124(a,1),7982(a,1,2)),flip(a)]. 7993 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7982(a,1),6729(a,1,1)),flip(a)]. 7994 K(x,K(x,y) * z) = K(x,z). [para(7559(a,1),7982(a,1,2))]. 7995 K(x,K(y,x) * z) = K(x,z). [para(7572(a,1),7982(a,1,2)),flip(a)]. 7996 K(x,K(y,x * K(y,z))) = 1. [hyper(41,a,7983,a)]. 7997 K(x * K(y,z),z) = 1 / K(z,x). [para(7988(a,1),5394(a,1,2)),flip(a)]. 7998 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(7988(a,1),5911(a,1,1))]. 7999 K(x,y \ T(y * z,x)) = K(x,z). [para(6018(a,2),7988(a,1,2))]. 8002 K(x,T(x,y) * z) = K(x,x * z). [para(5272(a,1),7994(a,1,2))]. 8003 K(x,K(y,x) \ z) = K(x,z). [para(5600(a,2),7994(a,1,2))]. 8005 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(6361(a,1),7994(a,1,2,1))]. 8006 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(6205(a,1),7995(a,1,2,1))]. 8007 K(x * K(y,z),z) = K(x,z). [hyper(255,a,5394,a(flip),b,7997,a)]. 8008 K(x * K(y,z),z) != u | K(x,z) = u. [para(7997(a,2),5395(a,1))]. 8009 K(x * T(y,z),z) = K(x * y,z). [para(1562(a,1),8007(a,1,1))]. 8010 R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). [para(8007(a,1),4395(a,1,1))]. 8012 K(x * L(K(y,z),u,w),z) = K(x,z). [para(6475(a,1),8007(a,1,1,2))]. 8013 K(x * T(y,z),y) = K(x * y,y). [para(6633(a,1),8007(a,1,1)),flip(a)]. 8014 K(x * K(y,z),y) = K(x,y). [para(6672(a,1),8007(a,1,1)),flip(a)]. 8015 K(x * K(y,T(z,u)),z) = K(x,z). [para(7542(a,1),8007(a,1,1,2))]. 8016 K(K(x,y) * z,y) = K(z,y). [para(7525(a,1),8007(a,1,1))]. 8017 K(K(x,y) * z,x) = K(z,x). [para(7527(a,1),8007(a,1,1)),flip(a)]. 8018 K(K(x,y) \ z,x) = K(z,x). [para(7625(a,1),8007(a,1,1))]. 8019 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(8014(a,1),5996(a,1,1,1,2)),flip(a)]. 8022 K(K(x,y) * z,x) = K(z * K(x,u),x). [hyper(255,a,8014,a,b,8017,a)]. 8025 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6361(a,1),8017(a,1,1,1))]. 8026 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(8017(a,1),6586(a,1,1))]. 8028 K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). [para(7828(a,2),8002(a,1,2))]. 8029 K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). [para(7475(a,1),8009(a,1,1,2)),flip(a)]. 8030 K(x * T(y,z),y) = K(y * x,y). [hyper(255,a,5894,a(flip),b,8013,a)]. 8031 K(T(x,y) * z,x) = K(z * T(x,y),x). [para(104(a,1),8015(a,1,1)),flip(a)]. 8032 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(6020(a,1),8015(a,1,1))]. 8033 K(x * (y / T(x,z)),x) = K(y,x). [para(21(a,1),8030(a,1,1)),flip(a)]. 8034 T(x,y * (z * K(x,u))) = T(x,y * z). [para(112(a,1),7978(a,1,2))]. 8035 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(7046(a,1),7978(a,1,2,2))]. 8037 L(K(x,y),y,z) != u | K(x,y) = u. [para(6577(a,2),7984(a,1))]. 8038 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(6886(a,1),7984(a,1,2))]. 8039 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(7032(a,1),8037(a,1))]. 8041 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(7208(a,1),8005(a,1,2,1))]. 8042 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(6382(a,1),8006(a,1,2,1))]. 8044 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1560(a,1),8008(a,1,1))]. 8047 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(7009(a,1),8012(a,1,1,2))]. 8048 K(x * (y * K(z,u)),z) = K(x * y,z). [para(7083(a,1),8012(a,1,1)),flip(a)]. 8049 K((K(x,y) * z) * u,x) = K(z * u,x). [para(122(a,1),8025(a,1,1))]. 8050 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(7208(a,1),8025(a,1,1,1))]. 8051 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(432(a,1),8035(a,1,2))]. 8052 K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6). [para(8035(a,1),5195(a,1,1,1)),flip(a)]. 8053 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(5175(a,1),8041(a,1,2))]. 8054 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5536(a,1),8041(a,1,2)),flip(a)]. 8055 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(5592(a,1),8041(a,1,2))]. 8056 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(7627(a,1),8042(a,1,2))]. 8057 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(263(a,1),8047(a,1,1))]. 8058 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7527(a,1),8047(a,1,1)),flip(a)]. 8059 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(5175(a,1),8050(a,1,1))]. 8060 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(5226(a,1),8050(a,1,1)),flip(a)]. 8061 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(6878(a,1),8056(a,1,2))]. 8062 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(255,a,7519,a(flip),b,7963,a)]. 8063 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [hyper(255,a,7542,a(flip),b,7965,a)]. 8064 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(255,a,7496,a,b,7971,a(flip)),flip(a)]. 8065 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(114(a,2),7981(a,1,2))]. 8066 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(255,a,7452,a,b,7990,a(flip)),flip(a)]. 8067 K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). [para(5608(a,1),7992(a,1,2,1)),flip(a)]. 8069 K(K(x,y) * z,x) != u | K(z,x) = u. [para(8022(a,2),8008(a,1))]. 8070 K(x * y,x) != z | K(y * x,x) = z. [para(5175(a,1),8069(a,1,1))]. 8071 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(8032(a,1),5821(a,1,1,2))]. 8075 K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). [para(7028(a,1),8048(a,1,1,2))]. 8076 K(x * (K(y,z) * u),y) = K(x * u,y). [para(7559(a,1),8048(a,1,1,2))]. 8077 K(K(x,T(y,z)) * u,z) = K(K(x,y) * u,z). [para(7548(a,1),8049(a,1,1,1))]. 8078 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(2807(a,1),8062(a,1,2,1)),flip(a)]. 8080 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(8076(a,1),5994(a,1,2,1,2)),flip(a)]. 8081 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(37(a,1),8044(a,1,1,2))]. 8082 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [hyper(255,a,5252,a,b,7826,a)]. 8085 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(18(a,1),8082(a,1,2,2,1))]. 8086 T(x,y \ ((x \ z) * x)) != u | x * K(x,y \ z) = u. [para(8082(a,2),5353(a,1))]. 8087 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(8082(a,1),5195(a,1,1,1)),flip(a)]. 8088 T(x,(y / x) \ z) = T(x,y \ (z * x)). [hyper(255,a,8062,a,b,8085,a),flip(a)]. 8089 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(255,a,7519,a,b,8085,a),flip(a)]. 8090 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(8085(a,1),5253(a,1,2,1))]. 8091 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(8088(a,1),5195(a,1,1,1))]. 8092 (x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x. [hyper(255,a,5302,a(flip),b,7839,a)]. 8093 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5641(a,1),7843(a,1,1,1)),flip(a)]. 8094 (x \ (y * T(x,z))) * x != u * T(x,z) | T(y,x) = u. [para(7854(a,2),25(a,1))]. 8095 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(6621,a,7887,a),flip(a)]. 8096 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(7921(a,2),7091(a,1,2))]. 8097 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(6837(a,1),7927(a,1,1,1)),flip(a)]. 8098 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(5325,a,7931,a)]. 8099 K(x,K(y,z)) = K(z,K(y,x)). [hyper(255,a,7783,a(flip),b,8098,a(flip))]. 8100 K(K(x,y),z) = K(x,K(y,z)). [hyper(6099,a,8099,a)]. 8101 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(255,a,8098,a(flip),b,8099,a)]. 8103 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [para(8099(a,1),104(a,1,2))]. 8104 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(8099(a,1),5208(a,2,1)),flip(a)]. 8105 x * K(y,K(z,x)) = T(x,K(z,y)). [para(8099(a,1),5252(a,2,2)),flip(a)]. 8106 K(x,K(y,z)) * z = T(z,K(y,x)). [para(8099(a,1),5263(a,2,1)),flip(a)]. 8107 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(8099(a,1),5227(a,1,1))]. 8110 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(8099(a,1),6093(a,1,1))]. 8112 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(8099(a,1),6094(a,1,2))]. 8113 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(8099(a,1),6096(a,1,1))]. 8115 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(8099(a,1),7549(a,1,2))]. 8116 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [para(8099(a,1),7924(a,1,1))]. 8117 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(255,a,6209,a(flip),b,8100,a)]. 8118 R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). [hyper(255,a,6358,a,b,8100,a(flip)),flip(a)]. 8119 T(x,K(y,z)) * K(y,K(z,x)) = x. [para(8100(a,1),5194(a,1,2))]. 8120 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(8100(a,1),5255(a,1,2))]. 8122 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(8100(a,1),6119(a,1))]. 8123 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(8100(a,1),6476(a,2,1))]. 8124 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(8100(a,1),6618(a,1,2))]. 8128 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(8017(a,1),8100(a,1,1)),flip(a)]. 8129 K(x,K(y,z / y)) = K(x,K(y,z)). [para(21(a,1),8101(a,1,2,2)),flip(a)]. 8130 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(100(a,1),8101(a,1,2,2))]. 8131 K(x,K(y,y * z)) = K(x,K(y,z)). [para(5842(a,1),8101(a,1,2))]. 8132 T(x,K(y,y * z)) = K(z,K(y,x)) * x. [para(7782(a,1),8106(a,1,1)),flip(a)]. 8133 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(8106(a,1),8063(a,1,2,2))]. 8134 K(x,K(y,z)) = K(y,K(x,z)). [hyper(6097,a,8110,a)]. 8135 K(K(x,y),z) = K(y,K(z,x)). [hyper(5384,a,8110,a)]. 8136 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(8110(a,1),6097(a,1))]. 8137 K(K(x,y),z) = K(y,K(x,z)). [hyper(255,a,8100,a,b,8134,a),flip(a)]. 8138 K(x,K(y,z)) = K(z,K(x,y)). [hyper(255,a,8099,a,b,8134,a)]. 8139 K(x,K(x * y,z)) = K(y,K(x,z)). [hyper(255,a,7782,a(flip),b,8134,a)]. 8140 x * K(y,K(x,z)) = T(x,K(y,z)). [para(8134(a,1),5252(a,2,2)),flip(a)]. 8141 K(x,K(y,z)) * y = T(y,K(x,z)). [para(8134(a,1),5263(a,2,1)),flip(a)]. 8143 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(5842(a,2),8134(a,1,2))]. 8144 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(8134(a,1),6094(a,1,2))]. 8146 K(x,K(T(y,z),u)) = K(y,K(x,T(u,z))). [para(7542(a,2),8134(a,1,2))]. 8147 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(7728(a,1),8134(a,1,2)),flip(a)]. 8148 K(x,y) * K(y,K(z,x)) = K(x,T(y,z)). [para(8134(a,1),7549(a,1,2))]. 8149 K(x,K(y,K(x,z) * u)) = K(y,K(x,u)). [para(7994(a,1),8134(a,1,2)),flip(a)]. 8150 x * K(y,K(z,x)) = T(x,K(y,z)). [para(8134(a,1),8105(a,1,2))]. 8151 K(x,K(y,z)) * z = T(z,K(x,y)). [para(8134(a,1),8106(a,1,1))]. 8152 K(K(x,y),z) = K(x,K(z,y)). [hyper(255,a,8099,a,b,8135,a)]. 8153 K(K(x,y),z) = K(z,K(x,y)). [hyper(255,a,8099,a,b,8137,a)]. 8154 K(x,K(y,z)) = K(x,K(z,y)). [hyper(255,a,8135,a(flip),b,8137,a(flip))]. 8155 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(8137(a,1),5175(a,1,1))]. 8156 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(8137(a,1),6119(a,1))]. 8157 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(6209(a,1),8137(a,1,1)),flip(a)]. 8158 x * K(K(y,z),x) = T(x,K(y,z)). [para(8137(a,2),8105(a,1,2))]. 8159 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(255,a,7567,a,b,8138,a),flip(a)]. 8160 K(x,K(y,x \ z)) = K(z,K(x,y)). [hyper(255,a,7784,a(flip),b,8138,a)]. 8161 K(x,K(y,z)) * y = T(y,K(z,x)). [para(8138(a,1),5263(a,2,1)),flip(a)]. 8164 K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. [para(8138(a,2),5634(a,1,1))]. 8165 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(8138(a,2),6245(a,1,1))]. 8169 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7542(a,1),8138(a,1,2))]. 8170 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(8138(a,2),7548(a,1,1))]. 8173 K(x,K(y,z)) * x = T(x,K(z,y)). [para(8138(a,1),8106(a,1,1))]. 8176 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(8152(a,1),6119(a,1))]. 8177 K(x,y) * K(z,K(x,y)) = T(K(x,y),z). [para(8153(a,1),5252(a,2,2)),flip(a)]. 8178 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(8153(a,1),5382(a,1,1))]. 8179 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(8153(a,1),5560(a,1,1))]. 8180 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(8153(a,1),5622(a,1,1))]. 8183 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(8153(a,1),6119(a,1))]. 8185 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(6430(a,1),8154(a,1,2)),flip(a)]. 8187 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(8154(a,1),7549(a,1,2))]. 8188 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(8119(a,1),8034(a,1,2,2)),flip(a)]. 8189 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(4680(a,1),8129(a,1,2))]. 8190 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(5374(a,1),8129(a,1,2))]. 8191 K(x * y,x) * K(z,K(x,y)) = K(x * y,T(x,z)). [para(8131(a,1),7549(a,1,2))]. 8192 K(x,K(x * y,z)) = K(x,K(y,z)). [hyper(255,a,8134,a,b,8139,a)]. 8193 T(x,K(y,z)) = T(x,K(z,y)). [hyper(255,a,8105,a(flip),b,8150,a(flip))]. 8194 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [hyper(6947,a,8193,a),flip(a)]. 8195 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(6941,a,8193,a)]. 8196 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(6871,a,8193,a),flip(a)]. 8197 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(6838,a,8193,a),flip(a)]. 8198 T(T(x,K(y,z)),K(y,z)) = x. [hyper(6800,a,8193,a)]. 8199 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(5717,a,8193,a)]. 8200 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(255,a,7852,a(flip),b,8193,a)]. 8201 T(x * y,K(z,y)) = y * T(x,T(y,z)). [hyper(255,a,6907,a(flip),b,8193,a)]. 8203 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(8193(a,1),4519(a,1,2))]. 8205 T(T(x,y),K(z,u)) != w | T(T(x,K(u,z)),y) = w. [para(8193(a,1),5829(a,1))]. 8207 T(T(x,K(y,z)),K(y,z)) != u | u = x. [para(8193(a,1),6800(a,1,1))]. 8208 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(8193(a,1),7855(a,1,1))]. 8209 T(x,K(y,z)) * z = z * T(x,T(z,y)). [para(8193(a,1),7859(a,1,1))]. 8212 T(K(x,y),z) * z = z * K(x,y). [para(8198(a,1),4584(a,1,2))]. 8214 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(8198(a,1),6800(a,1,1)),flip(b)]. 8216 K(x,K(y,z)) * (z * R(K(y,u),w,v5)) = T(z * R(K(y,u),w,v5),K(x,y)). [para(7987(a,1),8151(a,1,1,2))]. 8217 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(8158(a,1),7130(a,1,3)),flip(a)]. 8218 K(x,K(y,x \ z)) = K(x,K(y,z)). [hyper(255,a,8138,a,b,8160,a)]. 8219 K(x,K(y,x \ z)) = K(x,K(z,y)). [hyper(255,a,8134,a,b,8160,a)]. 8220 T(x,K(y,x \ z)) = K(z,K(x,y)) * x. [para(8160(a,1),5263(a,2,1))]. 8222 K(x,K(y \ z,y)) = K(x,K(z / y,z)). [para(6409(a,1),8190(a,1,2))]. 8223 K(x,K(x \ y,z)) = K(x,K(y,z)). [para(19(a,1),8192(a,1,2,1)),flip(a)]. 8224 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(8200(a,1),6102(a,1,1))]. 8225 K(T(x,T(y,z)),z) = K(T(x,y),z). [para(8200(a,1),7524(a,1,1))]. 8226 K(x,T(T(y,z),K(u,y * z))) = K(x,T(y,T(y * z,u))). [para(8200(a,1),7738(a,1,2)),flip(a)]. 8227 T(T(K(x,y),z),z) = K(x,y). [hyper(393,a,8212,a)]. 8228 (x * T(x \ y,z)) / y = T(K(x \ y,z),y). [hyper(81,a,6643,a,b,8212,a)]. 8229 T(K(x \ y,z),x) = K(y / x,z). [hyper(23,a,7626,a,b,8212,a)]. 8230 T(K(x \ y,z),y) = K(y / x,z). [hyper(23,a,6788,a,b,8212,a)]. 8231 T(K(x,T(y,z)),z) = K(x,y). [hyper(23,a,7559,a(flip),b,8212,a)]. 8233 K(x \ y,z) * y = y * K(y / x,z). [para(6755(a,1),8212(a,1,1))]. 8234 K(T(x,y),z) * y = y * K(x,z). [para(7522(a,2),8212(a,1,1))]. 8235 K(x,T(y,z)) * z = z * K(x,y). [para(7539(a,2),8212(a,1,1))]. 8236 K(x,T(T(y,z),z)) = K(x,y). [hyper(255,a,7781,a,b,8227,a(flip)),flip(a)]. 8237 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(8227(a,1),183(a,1,2,1)),flip(a)]. 8238 R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). [para(8227(a,1),184(a,1,2,1)),flip(a)]. 8239 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(8227(a,1),206(a,1,2,2,1))]. 8242 K(T(x,y),T(z,y)) = K(x,z). [hyper(7698,a,8231,a)]. 8243 K(x \ y,T(z,y)) = K(y / x,z). [hyper(6936,a,8231,a)]. 8244 K(T(x,y) \ 1,T(z,y)) = K(x \ 1,z). [hyper(5966,a,8231,a)]. 8246 (x * K(y,z)) / x = K(y,T(z,x)). [para(8231(a,1),167(a,1,1,2))]. 8248 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(8231(a,1),184(a,1,2,1)),flip(a)]. 8249 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(8231(a,1),7526(a,1,1)),flip(a)]. 8250 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [hyper(255,a,7583,a,b,8236,a(flip)),flip(a)]. 8251 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(255,a,7885,a(flip),b,8236,a(flip))]. 8252 K(x,T(y \ z,z)) = K(x,z / y). [hyper(255,a,7849,a(flip),b,8236,a(flip)),flip(a)]. 8253 K((x * y) / x,z) = K(y,T(z,x)). [hyper(255,a,7586,a(flip),b,8236,a(flip))]. 8254 K(x \ y,T(z,x)) = K(y / x,z). [hyper(255,a,7584,a(flip),b,8236,a(flip)),flip(a)]. 8255 K(x,T(y \ z,y)) = K(x,z / y). [para(129(a,1),8236(a,1,2,1))]. 8256 K(x,(y * z) / y) = K(x,T(z,y)). [para(166(a,1),8236(a,1,2,1)),flip(a)]. 8257 K(T(x,y),z \ y) = K(x,y / z). [hyper(7573,a,8242,a)]. 8259 K(K(x,y) * z,T(u,z)) = K(z * K(x,y),u). [hyper(255,a,7621,a(flip),b,8242,a(flip)),flip(a)]. 8260 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(45(a,2),8242(a,1,1))]. 8261 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(45(a,2),8242(a,1,2))]. 8262 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(47(a,2),8242(a,1,2))]. 8263 K(T(x,y),y \ z) = K(x,z / y). [para(129(a,1),8242(a,1,2))]. 8264 K(x,(y * z) / y) = K(T(x,y),z). [para(166(a,1),8242(a,1,2)),flip(a)]. 8265 K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). [para(703(a,2),8242(a,1,2)),flip(a)]. 8267 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(1061(a,1),8242(a,1,2))]. 8268 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(4506(a,1),8242(a,1,2))]. 8269 K(x * K(y,x),z) = K(x,T(z,y)). [para(5216(a,1),8242(a,1,1)),flip(a)]. 8270 x * K(T(x,y),T(z,y)) = T(x,z). [para(8242(a,2),5252(a,2,2)),flip(a)]. 8271 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(8242(a,1),5681(a,1,1)),flip(a)]. 8272 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(8242(a,1),6382(a,1,1))]. 8273 L(K(x,y),z * T(y,u),w) = K(T(x,u),L(T(y,u),z,w)). [para(8242(a,1),7009(a,1,1))]. 8274 L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)). [para(8242(a,1),7046(a,1,1))]. 8276 K(x,T(y,z)) * (z * K(y,x)) = z. [para(8242(a,1),7650(a,1,2,2))]. 8278 K(x,K(y,x * z)) = K(x,K(y,z)). [para(18(a,1),8218(a,1,2,2)),flip(a)]. 8279 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(255,a,5998,a,b,8229,a)]. 8281 K((x * y) \ z,T(x,y)) = K(z / (x * y),x). [hyper(255,a,6951,a(flip),b,8229,a(flip)),flip(a)]. 8282 K(x / y,x / z) = K(y \ x,z \ x). [hyper(6900,a,8230,a),flip(a)]. 8283 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(255,a,6951,a(flip),b,8230,a(flip)),flip(a)]. 8285 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(7621(a,1),8234(a,1,1))]. 8286 K(x,T(y \ 1,z)) = K(x,y \ K(y,z)). [hyper(23,a,6431,a,b,8235,a)]. 8288 K(x,T((y \ z) \ 1,y)) = K(x,y / z). [hyper(23,a,6113,a(flip),b,8235,a)]. 8289 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(81,a,8235,a(flip),b,5221,a)]. 8290 K(x,T(y,z)) * z != z * u | K(x,y) = u. [para(8235(a,2),24(a,1))]. 8291 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(8235(a,1),574(a,1,2,1)),flip(a)]. 8293 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(8235(a,1),5220(a,1,2)),flip(a)]. 8294 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(6956(a,1),8235(a,1,1))]. 8295 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. [para(8235(a,1),5630(a,1,1,3)),flip(a)]. 8296 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(8235(a,1),8063(a,1,2,2))]. 8297 K(x,T(y * K(x,z),u)) = K(x,T(y,u)). [para(8235(a,1),8067(a,1,2,1))]. 8298 K(x \ (y \ z),T(y,z)) = K((y \ z) / x,y). [hyper(7534,a,8243,a)]. 8299 L(K(x \ y,T(z,u * y)),y,u) = K((u * y) / (u * x),z). [hyper(7074,a,8243,a)]. 8301 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(7957(a,1),8243(a,1,2))]. 8304 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(8246(a,1),769(a,1,1)),flip(a)]. 8305 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [hyper(7914,a,8252,a)]. 8307 K(x,T(y \ (x * z),z)) = K(x,(x * z) / y). [hyper(255,a,7683,a(flip),b,8252,a(flip)),flip(a)]. 8308 K(x,y / (y / z)) = K(x,T(z,y)). [para(73(a,1),8252(a,1,2,1)),flip(a)]. 8310 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(100(a,1),8253(a,1,1,1))]. 8311 K(R((x * y) / x,z,u),w) = K(R(y,z,u),T(w,x)). [para(775(a,2),8253(a,1,1))]. 8314 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(4148(a,1),8253(a,1,1))]. 8315 K((x \ y) \ 1,T(z,y)) = K(x / y,z). [hyper(255,a,6707,a,b,8254,a(flip)),flip(a)]. 8317 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(7970(a,1),8254(a,1,2))]. 8318 K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). [para(29(a,2),8255(a,1,2,1)),flip(a)]. 8322 K(x,L(y / (z \ u),z \ u,z)) = K(x,T(u \ (z * y),z \ u)). [para(785(a,1),8256(a,1,2))]. 8325 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(4454(a,1),8263(a,1,1))]. 8327 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(7967(a,1),8263(a,1,1))]. 8328 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(255,a,5446,a,b,8264,a(flip)),flip(a)]. 8329 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(775(a,2),8264(a,1,2))]. 8330 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(8058(a,1),8269(a,1,1,2)),flip(a)]. 8331 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(5307(a,1),8270(a,1,2,2)),flip(a)]. 8332 K(x * T(y,z),T(y,u)) = K(x * y,T(y,u)). [para(8270(a,1),8048(a,1,1,2))]. 8333 K(x,T(y,z * K(u,x))) = K(x,T(y,z)). [para(8276(a,1),8063(a,1,2,2)),flip(a)]. 8336 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(8308(a,1),7322(a,1,2))]. 8337 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(8308(a,1),6922(a,1,1,2))]. 8338 K(x,y / (y / z)) != u | K(T(x,y),z) = u. [para(8308(a,2),7658(a,1))]. 8342 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(8137(a,2),8122(a,1))]. 8345 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7542(a,1),8183(a,1,2))]. 8346 K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. [para(7584(a,2),8183(a,1,2))]. 8347 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(8101(a,2),8183(a,1))]. 8352 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(7659(a,1),8104(a,1,1,2))]. 8353 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(8112(a,2),7895(a,1))]. 8354 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(8003(a,1),8112(a,1,2,2)),flip(a)]. 8355 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7553(a,1),8113(a,1,1,2)),flip(a)]. 8356 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(8115(a,1),24(a,1))]. 8357 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(7247(a,1),8115(a,1,2,2))]. 8358 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(8116(a,1),7957(a,1,2))]. 8359 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(8116(a,1),8041(a,1,2))]. 8360 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(129(a,1),8358(a,1,2,2)),flip(a)]. 8362 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(255,a,8100,a(flip),b,8128,a)]. 8364 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(255,a,8106,a(flip),b,8132,a)]. 8366 T(x,K(y,y * T(x,z))) = x. [hyper(255,a,7593,a(flip),b,8364,a)]. 8367 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(19(a,1),8364(a,1,2,2)),flip(a)]. 8369 T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). [hyper(40,a,8366,a)]. 8370 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(255,a,7539,a(flip),b,8133,a(flip)),flip(a)]. 8371 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7542(a,1),8144(a,1,2,2))]. 8372 K(x,y) * K(y,K(z,x)) != u | K(x,T(y,z)) = u. [para(8144(a,2),7895(a,1))]. 8373 K(x,K(T(y,z),u)) = K(y,K(u,T(x,z))). [hyper(8122,a,8146,a)]. 8374 K(x,y) * K(y,K(z,T(x,u))) = K(x,T(y,T(z,u))). [para(7542(a,1),8148(a,1,2,2))]. 8375 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(255,a,8134,a,b,8149,a)]. 8376 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(2081,a,8159,a)]. 8377 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(7879(a,1),8169(a,2,2))]. 8380 R(K(x,y),z,u) \ R(T(K(x,y),w),z,u) = K(w,R(K(x,y),z,u)). [para(8177(a,1),5994(a,1,2,1))]. 8386 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(255,a,8201,a,b,8209,a),flip(a)]. 8387 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(255,a,8161,a(flip),b,8220,a)]. 8389 T(x,K(y,x * z)) = T(x,K(y,z)). [para(18(a,1),8387(a,1,2,2)),flip(a)]. 8392 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(255,a,8193,a,b,8389,a)]. 8394 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(8392(a,1),43(a,1,1)),flip(a)]. 8395 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(8392(a,1),8208(a,1,1))]. 8397 K(x,K(y / z,y)) = K(x,K(z,z \ y)). [hyper(8183,a,8222,a),flip(a)]. 8398 K(x \ (y \ z),y) * z = z * K(z / (y * x),y). [para(7505(a,1),8233(a,1,1))]. 8402 K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,y \ x)). [para(4506(a,1),8244(a,1,1,1)),flip(a)]. 8403 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(255,a,5853,a,b,8249,a)]. 8404 K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). [para(8249(a,1),5190(a,2,2))]. 8407 T(K(x \ y,z),x) != u | K(y / x,z) = u. [para(8279(a,2),6146(a,1))]. 8409 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(7292,a,8282,a)]. 8410 K(x \ 1,y) * K(y,x \ K(x,z)) = K(x \ 1,K(y,z)). [para(8286(a,1),8159(a,1,2))]. 8411 K(x,T(1 / (y \ z),y)) = K(x,y / z). [hyper(255,a,3710,a,b,8288,a(flip)),flip(a)]. 8415 (x * (K(y,z) * K(x,u))) * K(z,y) = T(x,T(u,K(y,z))). [hyper(6674,a,8293,a)]. 8416 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(8293(a,2),6382(a,1,2))]. 8417 (x * (K(y,z) * K(x,u))) * K(z,y) != w | T(x,T(u,K(y,z))) = w. [para(8293(a,1),6675(a,1,1)),flip(b)]. 8418 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(7053(a,1),8296(a,1,2,2)),flip(a)]. 8419 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(7231(a,1),8296(a,1,2,2)),flip(a)]. 8420 K(x,T(T(K(y,x) * z,u),w)) = K(x,T(T(z,u),w)). [para(7124(a,1),8297(a,1,2,1)),flip(a)]. 8421 K((x \ y) \ 1,T(z,y)) = K((y / x) \ 1,z). [hyper(255,a,5998,a,b,8315,a)]. 8422 K(x,T(y,z * L(K(u,x),w,v5))) = K(x,T(y,z)). [para(6475(a,1),8333(a,1,2,2,2))]. 8423 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(255,a,7797,a(flip),b,8360,a)]. 8424 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(70(a,1),8423(a,1,2,2)),flip(a)]. 8426 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5608(a,1),8362(a,1,1)),flip(a)]. 8427 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(8362(a,1),6642(a,1,3))]. 8428 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(8235(a,1),8362(a,1,1))]. 8429 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(7345,a,8427,a)]. 8430 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(255,a,8219,a(flip),b,8373,a(flip))]. 8431 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(6053(a,1),8375(a,1,2,2)),flip(a)]. 8432 K(x,K(y,z * K(u,x))) = K(x,K(y,z)). [para(8276(a,1),8375(a,1,2,2)),flip(a)]. 8433 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(8376(a,1),6675(a,1,1)),flip(b)]. 8434 x \ T(y,K(z,x)) = T(x \ y,K(z,x)). [hyper(5047,a,8386,a)]. 8435 K(x,K(y / z,y)) = K(x,K(z,y)). [hyper(255,a,8190,a(flip),b,8397,a)]. 8436 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(70(a,1),8435(a,1,2,1)),flip(a)]. 8437 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(8183,a,8436,a)]. 8438 K(x,K(y,z \ y)) = K(x,K(y,z)). [hyper(255,a,8154,a,b,8437,a)]. 8439 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(255,a,8189,a,b,8437,a(flip)),flip(a)]. 8440 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(255,a,8189,a,b,8438,a(flip)),flip(a)]. 8442 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(8183,a,8439,a)]. 8443 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(8156,a,8439,a)]. 8444 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(255,a,8134,a,b,8439,a)]. 8445 K(x,K(y,z / (u * z))) = K(x,K(u,y)). [para(5782(a,2),8439(a,1,2))]. 8446 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6580(a,1),8439(a,1,2)),flip(a)]. 8447 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(8439(a,2),8183(a,1))]. 8448 K(x,K(y \ 1,z)) = K(z,K(x,y)). [hyper(8176,a,8440,a)]. 8449 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(8156,a,8440,a)]. 8451 T(x,K(y,z \ 1)) = x * K(x,K(y,z)). [para(8440(a,1),5252(a,2,2))]. 8454 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(8440(a,1),8112(a,1,2))]. 8456 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(255,a,8134,a,b,8442,a)]. 8458 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(6217(a,2),8442(a,1,2))]. 8459 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(255,a,8134,a,b,8443,a)]. 8463 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(6225(a,1),8448(a,1,2)),flip(a)]. 8464 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(7107,a,8449,a)]. 8479 T(x,T(T(y,z),z)) = T(x,y). [hyper(22,a,7787,a,b,8403,a(flip)),flip(a)]. 8480 (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). [para(8403(a,2),180(a,1,1,1))]. 8481 T(x,T(y \ z,y)) = T(x,z / y). [para(129(a,1),8479(a,1,2,1))]. 8482 T(x,(y * z) / y) = T(x,T(z,y)). [para(166(a,1),8479(a,1,2,1)),flip(a)]. 8484 T(x,y * K(z,y)) = T(x,T(y,z)). [para(5216(a,1),8479(a,1,2,1)),flip(a)]. 8486 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(8479(a,1),8095(a,2,2))]. 8489 T(x,(y * L(z,u,w)) / y) = T(x,L(T(z,y),u,w)). [para(45(a,2),8482(a,2,2))]. 8490 T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). [para(775(a,2),8482(a,1,2))]. 8492 T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). [hyper(255,a,4889,a,b,8484,a(flip)),flip(a)]. 8498 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(8424(a,1),7861(a,1,2))]. 8500 K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). [para(8432(a,1),8151(a,1,1))]. 8501 T(x \ K(x,y),K(z,x)) = x \ K(x,y). [para(2074(a,1),8434(a,1,2)),flip(a)]. 8502 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(8445(a,2),8183(a,1))]. 8503 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(7120(a,1),8446(a,1,2)),flip(a)]. 8504 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(8446(a,1),8183(a,1))]. 8505 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(255,a,5252,a,b,8451,a)]. 8507 T(x,K(y \ 1,z)) = T(x,K(z,y)). [hyper(8214,a,8505,a)]. 8508 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(255,a,7852,a(flip),b,8505,a(flip))]. 8518 T(x,T(y,z)) * T(z,x) = z * T(x,y). [hyper(5936,a,8486,a)]. 8519 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(81,a,8486,a(flip),b,5538,a(flip))]. 8521 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(7580(a,1),8486(a,1,1))]. 8523 T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). [para(8501(a,1),8208(a,1,1)),flip(a)]. 8524 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(255,a,7852,a(flip),b,8508,a(flip))]. 8525 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(255,a,5252,a(flip),b,8524,a)]. 8529 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [hyper(81,a,274,a(flip),b,8518,a)]. 8530 (x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u. [para(8518(a,1),304(a,1,1)),flip(b)]. 8532 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1990(a,1),8519(a,1,1,2))]. 8533 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(7970(a,1),8519(a,1,1,2)),flip(a)]. 8535 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(5323,a,8525,a)]. 8539 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(255,a,7884,a(flip),b,8535,a(flip)),flip(a)]. 8540 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(255,a,7883,a(flip),b,8535,a(flip)),flip(a)]. 8542 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(255,a,7536,a(flip),b,8535,a(flip)),flip(a)]. 8544 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6850(a,1),8535(a,1,2))]. 8548 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(584(a,1),8539(a,1,2)),flip(a)]. 8551 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(8544(a,1),7900(a,1))]. 8555 K(T(x,y \ z),y) != u | K(T(x,z),y) = u. [para(8268(a,2),8338(a,1))]. 8558 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(129(a,1),8359(a,1,2,2)),flip(a)]. 8559 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(7522(a,2),8407(a,1))]. 8560 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(7539(a,2),8407(a,1))]. 8561 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(5786(a,1),8447(a,1,2))]. 8565 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(7883(a,2),8551(a,1))]. 8566 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(4455(a,1),8559(a,1,1))]. 8567 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(7589(a,1),8559(a,1))]. 8571 K(x,T(y * z,z)) != u | K(x,T(y * z,y)) = u. [para(7541(a,1),8565(a,1))]. 8572 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(255,a,6039,a(flip),b,7937,a(flip))]. 8573 K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). [para(19(a,1),7941(a,1,2,2,2))]. 8574 K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). [para(8082(a,1),7941(a,1,2)),flip(a)]. 8575 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(8089(a,2),7941(a,1,2))]. 8576 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(5255,a,7945,a),flip(a)]. 8577 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(255,a,7792,a,b,8576,a(flip)),flip(a)]. 8579 T(x,T((y / z) \ 1,y)) = T(x,y \ z). [para(73(a,1),8577(a,2,2,2))]. 8582 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [para(8579(a,1),8225(a,1,1)),flip(a)]. 8585 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(3513,a,8103,a),flip(a)]. 8586 K(x,K(y,R(x,z,u))) = 1. [para(126(a,1),8585(a,1,2,2,1))]. 8587 T(x,K(y,R(x,z,u))) = x. [hyper(42,a,8586,a)]. 8588 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(8587(a,1),43(a,1,1)),flip(a)]. 8589 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(6673(a,2),8155(a,1,2))]. 8590 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(8194(a,1),7542(a,1,1)),flip(a)]. 8591 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(8481(a,1),8224(a,1,1))]. 8592 T(K(x \ y,z),y) != u | K(y / x,z) = u. [para(8228(a,1),5493(a,1))]. 8593 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(7539(a,2),8592(a,1))]. 8594 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4506(a,1),8250(a,1,1,1)),flip(a)]. 8595 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(8250(a,1),8050(a,1,1,1))]. 8596 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(255,a,7944,a(flip),b,8259,a(flip))]. 8597 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1795(a,1),8260(a,1,1))]. 8598 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1795(a,1),8261(a,1,2))]. 8599 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(8403(a,1),8271(a,1,1))]. 8601 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(255,a,7216,a(flip),b,8283,a)]. 8602 K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. [para(8283(a,2),7217(a,1))]. 8604 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(255,a,6718,a(flip),b,8294,a)]. 8605 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(6105(a,1),8604(a,1,1))]. 8607 K(x \ (y \ z),y) * z = z * K((y \ z) / x,y). [para(8298(a,1),7559(a,1,2)),flip(a)]. 8608 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(255,a,6390,a(flip),b,8307,a)]. 8610 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(8560,a,8314,a)]. 8611 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(8369(a,1),7781(a,2,1))]. 8612 K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w. [para(8377(a,2),8136(a,1))]. 8613 T(T(x,y),K(z,x * y)) = T(x,T(y,z)). [hyper(255,a,7855,a(flip),b,8394,a)]. 8615 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(5830,a,8395,a)]. 8616 K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,x)). [para(73(a,1),8421(a,1,1,1)),flip(a)]. 8617 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8429(a,2),5619(a,1,1))]. 8618 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(255,a,8112,a(flip),b,8454,a(flip))]. 8621 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(8618(a,1),7871(a,1))]. 8631 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(129(a,1),8498(a,1,2,2)),flip(a)]. 8633 T(x,y) * T(x \ K(x,z),x) = (x \ K(x,z)) * T(x,y). [para(8523(a,1),127(a,1,2))]. 8635 K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). [hyper(255,a,7819,a(flip),b,8572,a(flip))]. 8636 K(x,T(y,(y * z) \ u)) = K(x,T(y,z \ u)). [para(7518(a,2),8574(a,1,2))]. 8637 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). [hyper(255,a,8115,a,b,8575,a),flip(a)]. 8638 K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). [para(6413(a,1),8589(a,1,1,2))]. 8639 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(8100(a,1),8599(a,2,1))]. 8641 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(5680,a,8605,a)]. 8642 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(8608(a,2),7559(a,2,1)),flip(a)]. 8643 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(8615(a,1),182(a,1,2))]. 8646 T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). [para(8635(a,1),5291(a,2,2,2))]. 8647 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(7900,a,8636,a),flip(a)]. 8652 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [hyper(255,a,6408,a,b,8647,a)]. 8653 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(255,a,6408,a,b,8652,a(flip)),flip(a)]. 8654 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(18(a,1),8653(a,1,2,2)),flip(a)]. 8655 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(255,a,7046,a(flip),b,7440,a)]. 8656 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(439(a,1),8655(a,1,2)),flip(a)]. 8657 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(5600(a,1),7600(a,1))]. 8659 K(x,y) * (T(z,K(x,y)) * R(K(y,u),w,v5)) = (z * K(x,y)) * R(K(y,u),w,v5). [para(7756(a,1),430(a,1,2)),flip(a)]. 8660 L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)). [hyper(255,a,7702,a(flip),b,7804,a)]. 8661 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ (x \ ((y * L(y \ z,u,w)) * x))). [para(1934(a,1),7806(a,1,2,2,2)),flip(a)]. 8662 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(4418(a,1),7807(a,2,2,2,2))]. 8664 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(255,a,6382,a(flip),b,7998,a(flip)),flip(a)]. 8665 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(255,a,7988,a(flip),b,8664,a)]. 8666 K(x,y * K(z,x)) != u | K(x,y) = u. [para(8664(a,1),7483(a,1))]. 8668 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(51(a,1),8665(a,1,2))]. 8669 K(x,y * x) != z | K(x,x * y) = z. [para(104(a,1),8666(a,1,2))]. 8670 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(1560(a,1),8666(a,1,2))]. 8674 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(7047(a,2),8669(a,1))]. 8675 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(255,a,7208,a(flip),b,8010,a(flip)),flip(a)]. 8676 K(R(x,K(y,z),u),z) = K(x,z). [hyper(255,a,8007,a(flip),b,8675,a)]. 8678 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(51(a,1),8676(a,1,1))]. 8679 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(255,a,7046,a(flip),b,8026,a(flip)),flip(a)]. 8680 K(L(x,K(y,z),u),y) = K(x,y). [hyper(255,a,8017,a(flip),b,8679,a)]. 8681 K(L(x,K(y,z),u),y) != w | K(x,y) = w. [para(8679(a,2),8069(a,1))]. 8683 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(241(a,1),8680(a,1,1))]. 8684 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(7759(a,2),8081(a,1))]. 8685 K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. [para(7761(a,1),8081(a,1))]. 8686 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(8115(a,1),8120(a,1))]. 8687 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(8169(a,2),8120(a,1,2))]. 8689 K(x,y / z) != u | T(K(x,z \ y),z) = u. [para(8255(a,1),8686(a,1))]. 8690 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(8430(a,2),8345(a,1))]. 8691 K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. [para(7783(a,1),8353(a,1,2))]. 8693 K(x,T(y,z * (u * K(w,x)))) = K(x,T(y,z * u)). [para(112(a,1),8422(a,1,2,2))]. 8694 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(7522(a,1),8657(a,1,1))]. 8695 K(x \ (y * z),z) != u | K((x / z) \ y,z) = u. [para(21(a,1),8684(a,1,1,1))]. 8697 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(7846(a,1),8684(a,1))]. 8698 K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. [para(6098(a,2),8694(a,1))]. 8699 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(7030(a,2),8697(a,1))]. 8700 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(422,a,7419,a)]. 8701 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [hyper(7305,a,8700,a)]. 8704 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(255,a,8252,a(flip),b,7437,a(flip))]. 8705 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(255,a,8608,a(flip),b,8704,a(flip))]. 8706 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(255,a,8307,a(flip),b,8704,a(flip)),flip(a)]. 8707 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(8704(a,2),7651(a,1,1))]. 8708 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(27,a,8705,a)]. 8709 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(255,a,8066,a,b,8705,a(flip)),flip(a)]. 8710 K(x,((x * y) / z) \ x) = K(x,z / y). [para(18(a,1),8705(a,1,2,2)),flip(a)]. 8711 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(8705(a,1),6373(a,1,1))]. 8712 K(x,(y * x) / z) = K(x,(x * y) / z). [hyper(255,a,8066,a,b,8706,a),flip(a)]. 8713 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(19(a,1),8706(a,1,2,1)),flip(a)]. 8714 K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u. [para(8706(a,1),6392(a,1))]. 8715 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [hyper(8689,a,8709,a)]. 8716 K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). [hyper(255,a,8305,a,b,8709,a(flip)),flip(a)]. 8718 x * K(x,(x * y) / z) = T(x,(y * x) / z). [para(8712(a,1),5252(a,2,2)),flip(a)]. 8719 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(8712(a,2),6392(a,1))]. 8720 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(8038,a,8713,a)]. 8722 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(20(a,1),8720(a,1,2,2))]. 8723 K(x,y / ((x \ z) * x)) = K(x,y / z). [hyper(255,a,8713,a(flip),b,8722,a(flip))]. 8724 K(x,y / (z * x)) = K(x,y / (x * z)). [para(18(a,1),8723(a,1,2,2,1))]. 8725 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(255,a,7395,a(flip),b,8724,a)]. 8726 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(123(a,2),8724(a,2,2)),flip(a)]. 8728 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(21(a,1),8725(a,1,2,2,1)),flip(a)]. 8729 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(4656(a,1),8725(a,1,2,2,1))]. 8730 K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. [para(8305(a,2),8719(a,1))]. 8731 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(255,a,5390,a(flip),b,8726,a(flip)),flip(a)]. 8732 T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)). [para(7465(a,1),1061(a,1,1,2))]. 8733 T(K(x,y) * (z * K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * z). [para(7465(a,1),8196(a,1,1))]. 8734 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(47(a,2),7547(a,2,2))]. 8735 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(7614(a,1),7568(a,1,1,2)),flip(a)]. 8736 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(8099(a,1),7570(a,1,1))]. 8737 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(255,a,7648,a(flip),b,7609,a(flip))]. 8738 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(8479(a,1),8737(a,1,1,2))]. 8740 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(47(a,2),7684(a,2,2))]. 8741 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(87,a,7691,a)]. 8743 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(20(a,1),7704(a,1,1,1,1,2))]. 8744 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(255,a,5055,a(flip),b,7706,a(flip))]. 8745 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(7754(a,1),8199(a,1,2))]. 8746 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(27,a,7762,a)]. 8747 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(18(a,1),7762(a,2,2,1,2))]. 8748 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(422,a,7770,a)]. 8749 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(7304,a,8748,a)]. 8750 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(255,a,7349,a(flip),b,7805,a(flip)),flip(a)]. 8751 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(7810(a,1),5564(a,1,2))]. 8752 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4906(a,1),7822(a,1,1))]. 8753 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(23,a,5263,a(flip),b,7829,a),flip(a)]. 8757 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(6189(a,1),8753(a,1,1,2))]. 8758 K(x,y) * K(z \ 1,x) = z * T(z \ K(x,y),x). [para(8753(a,1),6643(a,2,2)),flip(a)]. 8759 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). [para(8757(a,1),5992(a,1,1,1,2)),flip(a)]. 8760 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [hyper(255,a,6634,a(flip),b,7832,a)]. 8761 T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). [para(8760(a,1),5252(a,2,2))]. 8763 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(6672(a,1),8760(a,1,2,1)),flip(a)]. 8764 K(x,((y * K(z,x)) * u) \ w) = K(x,(y * u) \ w). [para(7231(a,1),8760(a,1,2,1)),flip(a)]. 8765 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7559(a,1),8760(a,1,2,1))]. 8766 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7572(a,1),8760(a,1,2,1)),flip(a)]. 8768 K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). [para(6475(a,1),8763(a,1,2,1,2))]. 8769 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(7586(a,1),8763(a,1,2,1,2))]. 8770 K(x,y \ T(x,z)) = K(x,y \ x). [hyper(255,a,7000,a(flip),b,8765,a(flip))]. 8771 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(29(a,2),8765(a,1,2)),flip(a)]. 8772 K(x,T(y,z) \ x) = K(x,T(y \ x,z)). [hyper(255,a,7577,a(flip),b,8770,a(flip))]. 8773 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(129(a,1),8770(a,1,2,2)),flip(a)]. 8774 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(255,a,7730,a(flip),b,8766,a(flip)),flip(a)]. 8775 K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). [hyper(255,a,7598,a(flip),b,8772,a)]. 8777 K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(255,a,6997,a(flip),b,8772,a(flip))]. 8779 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(5536(a,1),8774(a,1,2,2)),flip(a)]. 8781 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(8774(a,1),7539(a,2,1))]. 8782 K(x,y \ (z * K(x,u))) = K(x,y \ z). [para(8235(a,1),8774(a,1,2,2))]. 8783 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(8276(a,1),8774(a,1,2,2)),flip(a)]. 8784 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(6576(a,1),8782(a,1,2,2))]. 8786 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [para(7231(a,1),8782(a,1,2,2)),flip(a)]. 8787 K(x,y \ (z * L(K(u,x),w,v5))) = K(x,y \ z). [para(6475(a,1),8783(a,1,2,2,2))]. 8788 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [hyper(255,a,5252,a,b,8761,a)]. 8789 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(7053(a,1),8788(a,1,2,1)),flip(a)]. 8790 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [para(7559(a,1),8788(a,1,2,1))]. 8791 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(7572(a,1),8788(a,1,2,1)),flip(a)]. 8792 T(x,y \ K(x,z)) = T(x,y \ 1). [hyper(255,a,6854,a(flip),b,8790,a(flip))]. 8793 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(8792(a,1),6082(a,1,2,1))]. 8795 K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). [para(6686(a,1),8775(a,1,2,1))]. 8796 K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). [para(112(a,1),8768(a,1,2,1))]. 8797 K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). [para(112(a,1),8787(a,1,2,2))]. 8798 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(7851(a,1),7323(a,1,3,2))]. 8800 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(255,a,8791,a(flip),b,7912,a(flip)),flip(a)]. 8802 T(x,y \ T(x,z)) = T(x,y \ x). [para(5207(a,1),8800(a,1,2,2)),flip(a)]. 8803 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5846(a,1),8800(a,1,2,2))]. 8805 T(x,T(y,z) \ x) = T(x,T(y \ x,z)). [hyper(255,a,7679,a(flip),b,8802,a(flip))]. 8806 T(x,(T(x,y) / z) \ x) = T(x,z). [para(73(a,1),8802(a,1,2)),flip(a)]. 8808 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(7933(a,1),7279(a,1,2))]. 8809 T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). [hyper(255,a,5291,a,b,7940,a)]. 8810 T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). [para(18(a,1),8809(a,1,2,2,1)),flip(a)]. 8811 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). [para(1151(a,1),8809(a,1,2,2,1)),flip(a)]. 8812 T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). [hyper(255,a,7518,a(flip),b,8810,a(flip)),flip(a)]. 8813 T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). [hyper(255,a,6854,a(flip),b,8812,a(flip))]. 8814 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(18(a,1),7946(a,1,1,2)),flip(a)]. 8815 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(47(a,2),8054(a,1,2,1))]. 8817 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(6483(a,1),8123(a,1,1)),flip(a)]. 8818 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(6672(a,1),8124(a,1,1)),flip(a)]. 8819 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(255,a,8429,a(flip),b,8217,a)]. 8821 T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). [para(47(a,1),8238(a,1,1))]. 8822 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(5832,a,8239,a)]. 8823 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [hyper(255,a,5295,a(flip),b,8822,a(flip))]. 8825 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(7970(a,1),8248(a,1,1,1,2))]. 8828 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(8329(a,1),5252(a,2,2))]. 8830 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(255,a,5082,a,b,8331,a(flip)),flip(a)]. 8831 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(255,a,8112,a(flip),b,8354,a)]. 8834 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(255,a,8113,a(flip),b,8355,a)]. 8835 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(6100(a,1),8834(a,1,2))]. 8836 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4563(a,1),8371(a,1,2,2,2))]. 8837 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(y,K(u / (x * z),x)). [para(8281(a,1),8374(a,1,2,2)),flip(a)]. 8839 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [hyper(255,a,8616,a(flip),b,8402,a(flip))]. 8840 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(104(a,1),8419(a,1,2,2,1))]. 8841 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(x * z,u),w)). [para(5226(a,1),8420(a,1,2,1,1)),flip(a)]. 8842 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(5896(a,1),8458(a,2,2))]. 8843 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(8443(a,1),8464(a,1,1))]. 8844 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(8449(a,1),8464(a,1,1))]. 8845 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(8459(a,1),8464(a,1,1))]. 8847 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(255,a,8843,a(flip),b,8844,a(flip))]. 8850 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(255,a,8844,a(flip),b,8845,a(flip))]. 8851 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(255,a,8843,a(flip),b,8845,a(flip))]. 8852 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(255,a,8817,a(flip),b,8845,a(flip)),flip(a)]. 8856 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(241(a,1),8850(a,2,2,2))]. 8859 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(255,a,8134,a,b,8852,a)]. 8861 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(8859(a,2),8136(a,1))]. 8863 T(x,L((y * z) / y,u,w)) = T(x,L(T(z,y),u,w)). [para(767(a,2),8489(a,1,2))]. 8864 T(x,L(y * K(z,y),u,w)) = T(x,L(T(y,z),u,w)). [para(5431(a,2),8489(a,1,2))]. 8865 T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). [para(47(a,2),8490(a,2,2))]. 8868 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(8529(a,1),6620(a,1,1,1))]. 8869 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(255,a,8519,a(flip),b,8533,a)]. 8870 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(6886(a,1),8869(a,1,2,1)),flip(a)]. 8871 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(8548(a,1),5457(a,1,2))]. 8872 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(8548(a,2),8144(a,2,1))]. 8873 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(255,a,8540,a(flip),b,8573,a)]. 8881 K((x \ y) / z,x) = K(y / (x * z),x). [hyper(22,a,8398,a(flip),b,8607,a(flip))]. 8882 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(255,a,8251,a,b,8610,a),flip(a)]. 8883 K(T(x * y,y) / x,z) = K(y,z). [hyper(8681,a,8882,a),flip(a)]. 8885 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(19(a,1),8883(a,1,1,1,1))]. 8886 K(x \ T(y,x \ y),x) = K(x \ y,x). [hyper(5665,a,8885,a)]. 8887 K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K((T(x,y) / z) \ x,T(x,y) / z). [para(8806(a,1),8886(a,1,1,2))]. 8888 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(8641(a,1),3534(a,1,2)),flip(a)]. 8889 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(255,a,8018,a(flip),b,8683,a)]. 8892 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(7053(a,1),8889(a,1,1,1)),flip(a)]. 8893 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7572(a,1),8889(a,1,1,1)),flip(a)]. 8894 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(8242(a,1),8889(a,1,1,1,2))]. 8897 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(255,a,7727,a(flip),b,8893,a(flip)),flip(a)]. 8899 K(x \ T(y,z),y) = K(x \ y,y). [para(5263(a,2),8897(a,1,1,2))]. 8900 K(x \ (K(y,z) * u),z) = K(x \ u,z). [para(5608(a,1),8897(a,1,1,2)),flip(a)]. 8901 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(5409(a,1),8897(a,1,1,2)),flip(a)]. 8902 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(5536(a,1),8897(a,1,1,2)),flip(a)]. 8904 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(8242(a,1),8897(a,1,1,2,1))]. 8905 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(8235(a,1),8897(a,1,1,2))]. 8906 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(255,a,7188,a(flip),b,8899,a(flip))]. 8908 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(6027(a,1),8900(a,1,1,2))]. 8909 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(7053(a,1),8905(a,1,1,2)),flip(a)]. 8911 K(((x * y) \ x) \ z,T(z,K(y,u))) = K(L(y \ 1,y,x) \ z,z). [para(1287(a,1),8906(a,1,1,1)),flip(a)]. 8912 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(175(a,1),8908(a,1,1)),flip(a)]. 8914 K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). [para(7525(a,1),8693(a,1,2,2,2))]. 8915 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(255,a,8779,a(flip),b,8701,a)]. 8917 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5899,a,8708,a)]. 8918 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(255,a,8064,a,b,8917,a(flip)),flip(a)]. 8919 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7539(a,2),8734(a,1,1))]. 8921 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(8223(a,1),8736(a,1,1))]. 8922 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(18(a,1),8740(a,1,2,1,2)),flip(a)]. 8923 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(22,a,7400,a(flip),b,8744,a)]. 8925 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(8923(a,1),6670(a,1,1,2)),flip(a)]. 8926 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(255,a,8902,a(flip),b,8749,a)]. 8928 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(8926(a,1),8138(a,2,2))]. 8929 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(21(a,1),8750(a,1,2,1,2)),flip(a)]. 8930 K(x,((1 / y) * y) \ (x \ z)) = K(x,L(x,y,y \ 1) \ z). [para(3043(a,1),8750(a,1,2,1)),flip(a)]. 8931 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(8750(a,1),6670(a,1,1,2))]. 8932 K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). [para(263(a,1),8764(a,1,2,1,1))]. 8933 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(255,a,8409,a(flip),b,8773,a(flip))]. 8934 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(255,a,7539,a,b,8781,a)]. 8935 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(255,a,7943,a(flip),b,8784,a(flip))]. 8936 K(x,y \ ((z * K(x,u)) * w)) = K(x,y \ (z * w)). [para(6672(a,1),8786(a,1,2,2,1)),flip(a)]. 8937 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(7525(a,1),8796(a,1,2,1,2))]. 8938 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(7525(a,1),8797(a,1,2,2,2))]. 8939 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(8803(a,1),5195(a,1,1,1))]. 8940 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1939(a,1),8814(a,1,2)),flip(a)]. 8941 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1965(a,1),8814(a,1,2)),flip(a)]. 8942 (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). [para(5958(a,1),8818(a,1,1))]. 8943 T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). [hyper(172,a,8821,a(flip),b,4145,a(flip))]. 8945 K(L(K(x,y),z,u),w) = K(w,L(K(x,y),z,u)). [hyper(22,a,5252,a(flip),b,8823,a)]. 8946 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(255,a,8859,a(flip),b,8945,a(flip))]. 8947 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(255,a,8847,a,b,8946,a)]. 8950 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(7009(a,1),8947(a,1,2)),flip(a)]. 8951 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(5323,a,8830,a)]. 8952 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(6008(a,1),8951(a,1,2,1)),flip(a)]. 8953 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(255,a,8831,a(flip),b,8835,a)]. 8955 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(6673(a,1),8953(a,1,2))]. 8956 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(8955(a,1),8819(a,1,2))]. 8958 T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). [para(4524(a,1),8865(a,1,2,1)),flip(a)]. 8962 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(255,a,7497,a,b,8870,a(flip)),flip(a)]. 8964 R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). [para(8901(a,1),5996(a,1,1,1,2))]. 8965 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(5175(a,1),8904(a,1,1,2)),flip(a)]. 8966 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(424(a,1),8909(a,2,1))]. 8967 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(19(a,1),8919(a,1,2)),flip(a)]. 8968 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(5505,a,8922,a)]. 8969 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(7354,a,8929,a)]. 8970 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(5263(a,2),8934(a,1,2,1,2))]. 8971 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(7601(a,1),8934(a,1,2,1,2))]. 8972 K(x,y \ (((z / x) * u) * w)) = K(x,y \ (((x \ z) * u) * w)). [para(6957(a,1),8936(a,1,2,2,1))]. 8973 K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). [para(424(a,1),8938(a,1,2))]. 8975 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(255,a,8851,a,b,8950,a(flip)),flip(a)]. 8976 K((x \ y) \ z,T(z,u)) = K(y \ (z * x),T(z,u)). [hyper(255,a,7695,a,b,8965,a(flip)),flip(a)]. 8977 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(255,a,332,a(flip),b,8967,a)]. 8978 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(255,a,7539,a(flip),b,8977,a)]. 8979 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [para(17(a,1),8969(a,2,2,1))]. 8980 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(18(a,1),8969(a,1,2,1,2)),flip(a)]. 8981 K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). [para(21(a,1),8979(a,1,2,1)),flip(a)]. 8982 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (y / (x \ 1))) \ u). [para(8981(a,1),6989(a,1,1))]. 8983 K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). [hyper(255,a,8601,a(flip),b,8976,a)]. 8984 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [para(18(a,1),8983(a,1,1,1)),flip(a)]. 8985 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(255,a,5735,a(flip),b,8984,a(flip)),flip(a)]. 8986 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(8070,a,8985,a)]. 8988 L(T(K(x,T(y,z)),u * (K(y,x) * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [hyper(81,a,7629,a(flip),b,8237,a),flip(a)]. 8989 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). [para(1425(a,1),7633(a,1,2)),flip(a)]. 8990 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(255,a,5388,a(flip),b,7808,a)]. 8992 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(7556(a,1),7841(a,1,2))]. 8993 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(255,a,5726,a(flip),b,8992,a(flip))]. 8994 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [para(8993(a,1),167(a,1,1,2))]. 8995 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(6975(a,1),8994(a,1,1))]. 8996 K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u. [para(8770(a,1),7903(a,1))]. 8998 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(255,a,8269,a(flip),b,8330,a)]. 8999 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(5354(a,1),8998(a,1,2,2))]. 9000 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(80,a,8808,a(flip),b,5545,a),flip(a)]. 9001 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). [para(8808(a,1),33(a,2,2,2)),flip(a)]. 9008 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(80,a,8871,a(flip),b,5545,a),flip(a)]. 9009 K(x,y) * K(y * R(x,z,u),x) = x \ R(x,y,R(x,z,u)). [hyper(80,a,8871,a(flip),b,5220,a),flip(a)]. 9010 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(8871(a,1),5915(a,1,1)),flip(a)]. 9011 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(255,a,7424,a(flip),b,8968,a(flip)),flip(a)]. 9012 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(422,a,7420,a)]. 9013 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(7420(a,1),6693(a,1,1))]. 9014 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(255,a,7046,a(flip),b,9012,a(flip)),flip(a)]. 9015 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(255,a,7267,a(flip),b,7441,a(flip)),flip(a)]. 9017 K(x,K(y \ x,y) * z) = K(x,z). [para(18(a,1),9015(a,1,2)),flip(a)]. 9018 K(x,y * K(z \ x,z)) = K(x,y). [hyper(255,a,7680,a(flip),b,9017,a(flip)),flip(a)]. 9019 K(x * y,K(y,x) * z) = K(x * y,z). [para(18(a,1),9017(a,1,2,1,1))]. 9020 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5877(a,1),9017(a,1,2)),flip(a)]. 9022 K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)) = K(x,y \ z). [para(6967(a,1),9018(a,1,2)),flip(a)]. 9023 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(9019(a,1),5216(a,1,1,2))]. 9024 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(255,a,7164,a(flip),b,7515,a(flip)),flip(a)]. 9026 K(K(x \ y,x) * z,y) = K(z,y). [hyper(255,a,615,a(flip),b,9024,a(flip))]. 9028 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(9026(a,1),5252(a,2,2)),flip(a)]. 9029 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(255,a,8815,a(flip),b,7665,a)]. 9031 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(255,a,7208,a(flip),b,7687,a(flip))]. 9032 K(R(x,y,z),T(u,x * w)) = K(R(x,y,z),T(u,w)). [para(18(a,1),9031(a,1,2,2)),flip(a)]. 9033 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [para(9031(a,1),5382(a,1,1))]. 9034 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(454,a,7717,a)]. 9035 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(5175(a,1),7717(a,1,1)),flip(a)]. 9036 (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(7717(a,1),5543(a,1,1,2))]. 9037 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(255,a,7208,a(flip),b,9034,a(flip)),flip(a)]. 9038 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(255,a,6374,a(flip),b,9034,a(flip)),flip(a)]. 9039 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(9037(a,1),5263(a,2,1)),flip(a)]. 9040 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. [para(9037(a,1),5699(a,1,1,1)),flip(a)]. 9041 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(454,a,7718,a)]. 9042 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(255,a,7208,a(flip),b,9041,a(flip)),flip(a)]. 9043 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(255,a,8250,a(flip),b,9042,a(flip))]. 9044 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(255,a,8242,a(flip),b,9043,a(flip))]. 9046 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(9044(a,1),5292(a,2,1,1))]. 9047 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(255,a,5292,a,b,9046,a)]. 9048 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(422,a,7771,a)]. 9049 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(255,a,7046,a(flip),b,9048,a(flip)),flip(a)]. 9050 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(255,a,7009,a(flip),b,9048,a(flip)),flip(a)]. 9051 K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). [para(4534(a,1),9049(a,1,1))]. 9057 K(x,K(y,T(z,x * u))) = K(x,K(y,T(z,u))). [hyper(22,a,7654,a,b,7934,a),flip(a)]. 9058 K(x,K(y,T(z,x \ u))) = K(x,K(y,T(z,u))). [para(19(a,1),9057(a,1,2,2,2)),flip(a)]. 9059 K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). [hyper(255,a,8075,a(flip),b,8029,a(flip))]. 9060 K(x * (R(x,y,x) \ z),x) = K(z,x). [hyper(255,a,8033,a(flip),b,9059,a)]. 9061 K(R(x,y,x) * z,x) = K(x * z,x). [para(18(a,1),9060(a,1,1,2)),flip(a)]. 9062 K(x * R(y,z,y),y) = K(y * x,y). [hyper(255,a,8059,a(flip),b,9061,a(flip)),flip(a)]. 9063 T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). [para(9062(a,1),5291(a,2,2,2))]. 9064 T(x,y * R(x,z,x)) = T(x,x * y). [hyper(255,a,5291,a,b,9063,a)]. 9065 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(255,a,5252,a(flip),b,9064,a)]. 9066 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(5323,a,9065,a)]. 9067 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(255,a,8053,a,b,9066,a(flip)),flip(a)]. 9068 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(255,a,7432,a,b,9067,a(flip)),flip(a)]. 9069 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(6209(a,1),8117(a,1,1)),flip(a)]. 9070 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(8100(a,1),8118(a,1,1))]. 9071 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(6209(a,1),8157(a,1,2)),flip(a)]. 9072 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(255,a,9069,a,b,9071,a(flip)),flip(a)]. 9073 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(8134(a,1),9072(a,1,1))]. 9074 R(K(x,K(y,z)),y,u) = K(x,K(y,z)). [para(4395(a,1),9073(a,2,2))]. 9075 x * R(K(x,K(y,z)),u,w) = T(x,R(K(y,z),u,w)). [para(9073(a,2),5252(a,2,2)),flip(a)]. 9078 K(x,T(y,T(y * z,u))) = K(x,T(y,T(z,u))). [para(8613(a,1),8226(a,1,2)),flip(a)]. 9079 K(x,T(y,T(y * x,z))) = K(x,y). [hyper(255,a,5642,a(flip),b,9078,a)]. 9080 K(x \ y,T(x,T(y,z))) = K(x \ y,x). [para(19(a,1),9079(a,1,2,2,1))]. 9081 K((1 / (T(x,y) \ z)) \ x,T(1 / (T(x,y) \ z),T(T(x,y),z))) = K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)). [para(7868(a,2),9080(a,1,2))]. 9082 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(255,a,8262,a(flip),b,8272,a)]. 9084 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(19(a,1),9082(a,1,2)),flip(a)]. 9085 R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). [hyper(255,a,6385,a,b,9084,a(flip)),flip(a)]. 9088 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(5608(a,1),9085(a,1,2)),flip(a)]. 9090 L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). [hyper(255,a,8261,a(flip),b,8273,a)]. 9092 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(255,a,7010,a(flip),b,9090,a(flip)),flip(a)]. 9093 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(127(a,1),9090(a,1,2))]. 9096 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(255,a,7046,a(flip),b,9093,a(flip)),flip(a)]. 9097 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [hyper(255,a,7032,a(flip),b,9093,a(flip))]. 9099 L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). [para(5220(a,1),9093(a,1,2))]. 9101 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(7559(a,1),9092(a,1,2,2))]. 9103 L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). [hyper(255,a,8260,a(flip),b,8274,a)]. 9105 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(127(a,1),9103(a,1,2))]. 9106 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(169(a,1),9103(a,1,2)),flip(a)]. 9107 K(L(x,y,z),x * y) = K(x,x * y). [hyper(8037,a,9105,a),flip(a)]. 9108 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(255,a,6988,a(flip),b,9105,a(flip))]. 9109 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(5184(a,2),9105(a,1,2)),flip(a)]. 9110 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(8242(a,1),9105(a,1,1))]. 9111 K(L(x,x \ 1,y),z) = K(x,z). [hyper(255,a,322,a(flip),b,9106,a)]. 9112 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(255,a,8260,a(flip),b,9111,a(flip))]. 9113 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(255,a,8242,a(flip),b,9112,a(flip))]. 9115 L(K(x,y),K(z,x),u) = K(x,y). [hyper(255,a,9113,a(flip),b,9109,a(flip))]. 9117 L(R(K(x,y),z,u),K(w,x),v5) = R(K(x,y),z,u). [para(9115(a,1),49(a,1,1)),flip(a)]. 9118 L(L(K(x,y),z,u),K(w,x),v5) = L(K(x,y),z,u). [para(9115(a,1),50(a,1,1)),flip(a)]. 9119 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(9115(a,1),112(a,1,2))]. 9120 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(9115(a,1),428(a,1,2,1))]. 9122 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(9117(a,1),6695(a,1,2)),flip(a)]. 9125 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(9118(a,1),6695(a,1,2)),flip(a)]. 9126 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(6674,a,9119,a)]. 9127 R(x,K(y,z),K(z,u)) = x. [hyper(454,a,9119,a)]. 9128 (x * K(y,z)) * K(u,y) = x * (K(u,y) * K(y,z)). [hyper(255,a,7236,a,b,9119,a(flip)),flip(a)]. 9129 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(255,a,7065,a(flip),b,9119,a(flip))]. 9130 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(2075(a,2),9119(a,2,2))]. 9131 R(x,K(y,z),K(u,y)) = x. [hyper(255,a,7312,a,b,9127,a(flip)),flip(a)]. 9132 R(x,T(K(y,z),u),K(z,w)) = x. [para(1653(a,1),9127(a,1,2))]. 9133 (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). [para(9127(a,1),2733(a,1,1,1))]. 9134 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(6475(a,1),9127(a,1,2))]. 9135 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(9127(a,1),6649(a,1,1))]. 9137 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [para(9131(a,1),122(a,1,1)),flip(a)]. 9138 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u / K(x,y))). [para(9131(a,1),1389(a,1,2,2)),flip(a)]. 9139 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [para(9131(a,1),7235(a,1,1))]. 9140 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(5974(a,1),9132(a,1,3))]. 9141 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(9134(a,1),122(a,1,1)),flip(a)]. 9142 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(9134(a,1),489(a,1,1))]. 9143 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(9140(a,1),847(a,1,1)),flip(a)]. 9144 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(255,a,4502,a(flip),b,9135,a(flip))]. 9145 (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),w). [para(45(a,2),9135(a,1,2,2))]. 9146 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(9135(a,2),2081(a,1))]. 9148 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(255,a,5956,a,b,9144,a(flip)),flip(a)]. 9149 a(x,y / x,x) \ K(y,x) = K(x \ y,x). [para(9144(a,1),6670(a,1,1))]. 9150 a(x,y / x,x) * K(x,y) = K(x,x \ y). [para(9144(a,1),6689(a,1,1))]. 9151 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(18(a,1),9148(a,1,2,2)),flip(a)]. 9152 x \ R(x,T(y,x),x) = a(x,y,x). [para(167(a,1),9151(a,1,2)),flip(a)]. 9153 x \ R(x,y,x) = a(x,y,x). [para(4717(a,1),9152(a,1,2))]. 9154 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(5957,a,9153,a)]. 9155 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(5945,a,9153,a)]. 9156 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(255,a,7811,a,b,9153,a(flip)),flip(a)]. 9157 K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x). [hyper(255,a,7301,a,b,9153,a(flip)),flip(a)]. 9158 K(x,y) * K(y,y \ x) = a(y,y \ x,y). [hyper(255,a,5956,a(flip),b,9153,a(flip)),flip(a)]. 9159 x * a(x,y,x) = R(x,y,x). [para(9153(a,1),19(a,1,2))]. 9161 a(x,y,x) * x = R(x,y,x). [para(9153(a,1),4037(a,1,1))]. 9162 a(x,x \ (y \ x),x) = x \ R(x,y \ 1,x). [para(6310(a,1),9153(a,1,2)),flip(a)]. 9163 a(x,y,x) \ K(x * y,x) = K(y,x). [para(9153(a,1),6681(a,1,1))]. 9164 T(x * y,x) / x = y * a(x,y,x). [para(9153(a,1),6975(a,1,2)),flip(a)]. 9165 T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). [para(9153(a,1),7599(a,1,2)),flip(a)]. 9166 x \ R(x,y,x) != z | a(x,y,x) = z. [para(9159(a,1),222(a,1,2)),flip(b)]. 9167 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(5622,a,9154,a)]. 9168 K(x,x * y) * a(x,y,x) = K(x,y). [para(9154(a,1),5628(a,1,2))]. 9169 a(x,y,x) * (y * x) = T(x * y,x). [para(9154(a,1),7125(a,1,1))]. 9170 (x * y) * a(y,x,y) = T(y * x,y). [para(9154(a,1),7127(a,1,2))]. 9171 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(6674,a,9155,a)]. 9173 a(x,y \ 1,x) \ K(y \ x,x) = K(y \ 1,x). [para(5734(a,1),9163(a,1,2))]. 9174 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(255,a,1966,a,b,9164,a(flip)),flip(a)]. 9176 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(9164(a,1),129(a,1,1))]. 9177 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(9164(a,2),178(a,1,2,2))]. 9178 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(9164(a,2),423(a,1,2,2))]. 9179 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(9164(a,2),752(a,1,2,2,2))]. 9180 K(x,y) * K(x * y,x) != z | a(x,y,x) = z. [para(5726(a,2),9166(a,1))]. 9182 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(19(a,1),9168(a,1,1,2))]. 9183 L(a(x,y,x),K(x,x * y),z) = (z * K(x,x * y)) \ (z * K(x,y)). [para(9168(a,1),33(a,2,2,2))]. 9184 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(9170(a,1),867(a,1,1,2))]. 9185 a(x,y,x) * K(y,x) = K(y * x,x). [hyper(255,a,5894,a,b,9171,a)]. 9186 (R(a(x,y,x),K(y,x),z * u) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). [para(9171(a,1),1388(a,1,2,1))]. 9189 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(9156(a,1),4037(a,1,1))]. 9190 a(x,x \ y,x) = T(x,y) \ ((x \ y) \ y). [para(4560(a,1),9156(a,1,2)),flip(a)]. 9193 a(x,x \ (y \ x),x) = a(x,y \ 1,x). [hyper(255,a,9153,a(flip),b,9162,a)]. 9194 T(x,y \ x) \ ((x \ (y \ x)) \ (y \ x)) = a(x,y \ 1,x). [hyper(255,a,9190,a(flip),b,9193,a(flip)),flip(a)]. 9196 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(2075(a,2),9126(a,1,1,2))]. 9197 T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). [hyper(172,a,9130,a,b,565,a)]. 9199 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(6718(a,1),9130(a,1,1)),flip(a)]. 9200 L(K(x,y),K(y,z),u) = K(x,y). [hyper(422,a,9137,a)]. 9201 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(3217(a,1),9137(a,1,1))]. 9202 (x * K(y,z)) * (K(z,y) * K(u,z)) = x * K(u,z). [para(6672(a,1),9137(a,1,1)),flip(a)]. 9204 L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). [para(8242(a,1),9200(a,1,2))]. 9205 (x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))). [para(9204(a,1),112(a,1,2))]. 9208 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(23,a,9126,a,b,9196,a(flip)),flip(a)]. 9209 ((x * K(y,z)) / (x * K(u,z))) \ 1 = (K(z,u) * K(y,z)) \ K(K(z,u) * K(y,z),x * K(u,z)). [para(9202(a,1),5360(a,1,1,1))]. 9210 x / (K(y,z) * K(u,y)) = x * (K(z,y) * K(y,u)). [hyper(308,a,9208,a),flip(a)]. 9211 (x * (K(y,z) * K(u,y))) \ x = K(z,y) * K(y,u). [hyper(87,a,9208,a)]. 9212 (x * (K(y,z) * K(u,y))) * w != x | K(z,y) * K(y,u) = w. [para(9208(a,1),24(a,1)),flip(a)]. 9213 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(9208(a,1),304(a,1,1)),flip(b)]. 9214 x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)). [para(2075(a,1),9210(a,1,2))]. 9215 (x * (K(y,z) * K(u,y))) \ x = K(y,u) * K(z,y). [hyper(255,a,2075,a,b,9211,a)]. 9216 x / T((1 * (K(y,z) * K(u,y))) * x,K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. [para(9215(a,1),4423(a,1,2,2))]. 9217 (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). [para(5944(a,1),9129(a,1,2)),flip(a)]. 9218 R(x,y,x) \ x = x \ L(x,y,x). [hyper(7936,a,9217,a)]. 9219 x / R(x,y,x) = x \ L(x,y,x). [hyper(79,a,1952,a(flip),b,9217,a(flip)),flip(a)]. 9220 x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. [hyper(80,a,9218,a(flip),b,1308,a)]. 9221 (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9219(a,1),2886(a,1,1,2,1))]. 9222 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). [para(9220(a,1),5143(a,2,2))]. 9223 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(255,a,8904,a(flip),b,8301,a(flip)),flip(a)]. 9224 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(8593,a,9223,a),flip(a)]. 9226 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(9224(a,1),6670(a,1,1,2)),flip(a)]. 9227 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(255,a,6670,a(flip),b,9226,a)]. 9228 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(8486(a,1),9227(a,1,2,1))]. 9229 K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). [hyper(255,a,8066,a(flip),b,9228,a)]. 9230 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(255,a,8894,a(flip),b,8317,a(flip)),flip(a)]. 9231 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(8560,a,9230,a),flip(a)]. 9233 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(7231(a,1),9231(a,1,1,2)),flip(a)]. 9234 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(7525(a,1),9233(a,1,1,2,1))]. 9235 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [para(7527(a,1),9233(a,1,1,2,1)),flip(a)]. 9236 K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). [para(457(a,1),9234(a,1,1))]. 9237 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(255,a,8769,a(flip),b,8327,a(flip)),flip(a)]. 9239 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(255,a,8263,a(flip),b,9237,a(flip))]. 9240 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(1562(a,1),9239(a,1,2,2))]. 9241 K(x,y / (z * K(x,u))) = K(x,y / z). [para(6672(a,1),9239(a,1,2,2)),flip(a)]. 9242 K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). [para(7231(a,1),9241(a,1,2,2)),flip(a)]. 9243 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(104(a,1),9242(a,1,2,2,1))]. 9244 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(263(a,1),9242(a,1,2,2,1))]. 9245 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(7525(a,1),9242(a,1,2,2,1))]. 9246 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(7527(a,1),9242(a,1,2,2,1)),flip(a)]. 9247 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,(((y * K(z,x)) * u) * w) / (u * w)). [para(457(a,1),9245(a,1,2))]. 9248 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(5217(a,1),8328(a,1,1,1,2))]. 9249 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(8107,a,8352,a),flip(a)]. 9250 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(18(a,1),9249(a,1,2,2)),flip(a)]. 9252 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(8242(a,1),8404(a,1,1)),flip(a)]. 9253 (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). [para(9252(a,1),5898(a,1,1))]. 9255 K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)). [hyper(255,a,8138,a,b,8410,a)]. 9256 (K(x,y) * T(z,u)) / T(K(x,y),z) = (z * (K(x,y) * K(z,u))) * K(y,x). [hyper(255,a,8519,a,b,8415,a),flip(a)]. 9257 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(8164,a,8500,a),flip(a)]. 9258 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(6562,a,9257,a),flip(a)]. 9260 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(9257(a,2),6670(a,1,1))]. 9261 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(8141(a,1),9258(a,1,1)),flip(a)]. 9262 T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). [para(6672(a,1),9260(a,1,1,1))]. 9263 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [para(9262(a,1),19(a,1,2)),flip(a)]. 9264 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(6562,a,9263,a),flip(a)]. 9267 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(8530,a,8532,a),flip(a)]. 9268 K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). [hyper(255,a,8595,a(flip),b,8590,a)]. 9269 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(255,a,9031,a(flip),b,8594,a)]. 9270 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(123(a,1),9269(a,1,1)),flip(a)]. 9271 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(8611(a,2),7895(a,1))]. 9278 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(8135(a,1),8639(a,2,2))]. 9279 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(5037(a,2),8643(a,1,2))]. 9280 T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). [hyper(255,a,5291,a,b,8646,a)]. 9281 T(x,(y \ 1) \ (x \ z)) = x * K(x,(y \ x) \ z). [hyper(8086,a,9280,a),flip(a)]. 9282 K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). [hyper(5323,a,9281,a)]. 9283 K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). [para(18(a,1),9282(a,1,2,2)),flip(a)]. 9284 K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). [hyper(255,a,7701,a,b,9283,a(flip)),flip(a)]. 9286 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). [para(6591(a,2),8656(a,2,2,2)),flip(a)]. 9287 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(18(a,1),8743(a,1,1,1,1)),flip(a)]. 9289 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(4524(a,1),8828(a,1,2,1))]. 9292 L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(8888(a,1),439(a,1,1,1))]. 9293 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(255,a,6670,a(flip),b,8925,a)]. 9294 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(19(a,1),9293(a,1,1,1)),flip(a)]. 9295 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(9294(a,1),5291(a,2,2,2)),flip(a)]. 9296 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(255,a,8138,a(flip),b,8928,a)]. 9297 K(x,T(y \ T(T(x,z),u),w)) = K(T(x,w),y \ T(x,u)). [hyper(255,a,7542,a,b,8971,a)]. 9298 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [hyper(255,a,8970,a(flip),b,8971,a)]. 9300 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(9023(a,1),6713(a,1,2)),flip(a)]. 9301 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(6621,a,9028,a),flip(a)]. 9302 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(5375(a,1),9301(a,2,1))]. 9303 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5383,a,9033,a),flip(a)]. 9304 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1951(a,2),9035(a,1,2))]. 9305 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(255,a,8061,a(flip),b,9038,a)]. 9306 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(255,a,47,a,b,9039,a)]. 9310 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(255,a,8440,a(flip),b,9070,a)]. 9311 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(9070(a,2),8173(a,1,1))]. 9312 R(K(x,K(y,z)),u,w) = K(x,K(z,R(y,u,w))). [para(8439(a,1),9310(a,1,1))]. 9313 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(8440(a,1),9310(a,1,1))]. 9314 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(8444(a,1),9310(a,1,1))]. 9315 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(255,a,9073,a(flip),b,9312,a(flip)),flip(a)]. 9316 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [hyper(255,a,9074,a(flip),b,9313,a(flip))]. 9317 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(255,a,9073,a(flip),b,9313,a(flip)),flip(a)]. 9318 x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). [para(9313(a,2),5252(a,2,2)),flip(a)]. 9319 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(6454(a,1),9315(a,1,2)),flip(a)]. 9320 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [hyper(255,a,9075,a(flip),b,9318,a(flip)),flip(a)]. 9321 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(255,a,9101,a(flip),b,9099,a)]. 9323 L(K(x,L(y,x,z)),T(y,u) * w,v5) = K(L(x,y,z),L(y,w,v5)). [para(9096(a,1),9321(a,1,1))]. 9325 L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). [hyper(255,a,8260,a(flip),b,9110,a)]. 9327 K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). [para(19(a,1),9325(a,1,2)),flip(a)]. 9328 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(9327(a,2),323(a,1)),flip(b)]. 9329 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(9112(a,2),9328(a,1))]. 9330 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(43(a,1),9329(a,1,2))]. 9334 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(47(a,2),9329(a,1,2))]. 9335 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(129(a,1),9329(a,1,2))]. 9337 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(773(a,1),9329(a,1,1))]. 9339 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7542(a,1),9329(a,1))]. 9340 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(129(a,1),9339(a,1,2,1))]. 9342 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(7849(a,1),9339(a,1))]. 9343 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(8253(a,2),9339(a,1))]. 9344 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(8254(a,1),9339(a,1))]. 9348 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(7592(a,1),9342(a,1))]. 9349 K(x \ (x * y),z) != u | K(y,z) = u. [para(7584(a,1),9343(a,1))]. 9352 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(5889(a,1),9349(a,1))]. 9354 K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. [para(138(a,1),9344(a,1,2))]. 9357 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(8272(a,2),9334(a,1))]. 9359 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(126(a,1),9357(a,1,2,1))]. 9360 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(255,a,7027,a(flip),b,9199,a)]. 9361 (x / y) * a(y,z,y) = x / L(y,z,y). [para(9154(a,1),9360(a,1,2))]. 9362 L(x,y,x) \ x = a(x,y,x). [hyper(22,a,7133,a,b,9361,a),flip(a)]. 9363 (x * y) / L(y,z,y) = x * a(y,z,y). [para(20(a,1),9361(a,1,1)),flip(a)]. 9364 L(x,y,x) \ x = x \ R(x,y,x). [hyper(255,a,9153,a,b,9362,a)]. 9365 L(x,y,x) \ 1 = x \ a(x,y,x). [hyper(80,a,9362,a(flip),b,1424,a),flip(a)]. 9366 a(x,y,x) \ x = L(x,y,x). [para(9362(a,1),6466(a,1,1))]. 9367 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(255,a,7262,a,b,9364,a(flip)),flip(a)]. 9368 K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(9365(a,1),7207(a,1,1,2))]. 9369 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(255,a,1836,a(flip),b,9363,a(flip)),flip(a)]. 9370 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [para(9363(a,1),73(a,1,1))]. 9371 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(255,a,7739,a(flip),b,9369,a(flip)),flip(a)]. 9372 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(20(a,1),9369(a,1,1)),flip(a)]. 9373 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(730(a,1),9370(a,1,2))]. 9374 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(255,a,8751,a,b,9371,a(flip)),flip(a)]. 9375 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(255,a,1423,a,b,9371,a(flip)),flip(a)]. 9376 K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z). [para(9371(a,1),5272(a,1,2))]. 9377 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(9375(a,1),19(a,1,2))]. 9378 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(21(a,1),9377(a,1,2)),flip(a)]. 9379 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(22,a,1421,a,b,9378,a),flip(a)]. 9380 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(80,a,9379,a(flip),b,7741,a(flip))]. 9381 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(9374(a,2),24(a,1))]. 9382 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(9374(a,1),5226(a,1,2))]. 9383 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(9248(a,1),21(a,1,1))]. 9384 K(x,K(y,z \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x). [para(9255(a,1),6784(a,1,1))]. 9385 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(5406,a,9295,a),flip(a)]. 9386 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(255,a,7518,a,b,9385,a(flip)),flip(a)]. 9387 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(80,a,9306,a(flip),b,5550,a),flip(a)]. 9388 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(9306(a,1),7455(a,1,1,2)),flip(a)]. 9389 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(9383(a,1),5605(a,1,2))]. 9392 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(9235(a,1),9389(a,1,2,1,2,2)),flip(a)]. 9393 L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x). [para(8188(a,1),7529(a,1,1)),flip(a)]. 9394 L(x,T(y,K(x,z)),x) = L(x,y,x). [hyper(255,a,5707,a(flip),b,9393,a)]. 9396 L(x,T(y,T(x,z)),x) = L(x,y,x). [hyper(255,a,7865,a(flip),b,9394,a(flip)),flip(a)]. 9398 L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). [para(129(a,1),9396(a,1,2)),flip(a)]. 9399 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(7539(a,2),7543(a,1,1))]. 9401 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). [para(6102(a,1),7734(a,1,2,1))]. 9402 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(255,a,493,a(flip),b,7889,a(flip))]. 9403 K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). [para(9402(a,2),6536(a,1,2))]. 9404 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(255,a,7542,a(flip),b,7926,a)]. 9405 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(255,a,5253,a(flip),b,7968,a)]. 9406 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(7525(a,1),9405(a,1,2))]. 9407 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(6475(a,1),9406(a,1,2,1))]. 9409 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(8013(a,1),7993(a,2,2))]. 9410 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(255,a,5946,a(flip),b,9409,a)]. 9412 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(9166,a,9410,a)]. 9413 a(x,y * K(x,z),x) != u | a(x,y,x) = u. [para(9412(a,2),9166(a,1))]. 9414 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [hyper(255,a,4983,a(flip),b,8078,a)]. 9415 L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). [para(7544(a,1),8299(a,1,1))]. 9416 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7559(a,1),8304(a,1,1,2)),flip(a)]. 9417 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(9330,a,8597,a),flip(a)]. 9419 K(x,K(y,z)) * (K(z,x) * u) != w | K(z,T(x,y)) * u = w. [para(8134(a,1),8698(a,1,1))]. 9421 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(574(a,1),8771(a,1,2))]. 9422 K(x,a(K(x,y),z,u)) = 1. [hyper(255,a,5981,a(flip),b,9421,a(flip))]. 9424 T(x,a(K(x,y),z,u)) = x. [hyper(42,a,9422,a)]. 9425 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(40,a,9424,a)]. 9426 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(9424(a,1),43(a,1,1)),flip(a)]. 9427 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(9424(a,1),127(a,1,2))]. 9428 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(9424(a,1),7525(a,1,2,1)),flip(a)]. 9429 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(9425(a,1),7525(a,1,2,1)),flip(a)]. 9431 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(255,a,8975,a(flip),b,8856,a(flip)),flip(a)]. 9432 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(8912(a,1),8100(a,1,1)),flip(a)]. 9433 K(x,L(x,y,y \ 1) \ z) = K(x,x \ z). [para(133(a,1),8930(a,1,2)),flip(a)]. 9435 K((x \ 1) \ y,((x \ 1) \ y) \ z) = K((x \ 1) \ y,(x * y) \ z). [para(3064(a,1),9433(a,1,2,1)),flip(a)]. 9436 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(255,a,9135,a,b,9000,a(flip)),flip(a)]. 9437 K(x,y) * (y \ R(y,x,L(y,z,u))) = K(x * L(y,z,u),y). [para(9000(a,1),5626(a,1,2))]. 9438 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(255,a,9135,a,b,9008,a(flip)),flip(a)]. 9439 x \ R(x,y,R(x,z,u)) != w | K(y * R(x,z,u),x) * K(x,y) = w. [para(9009(a,1),2076(a,1))]. 9441 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(424(a,1),9108(a,2,2))]. 9442 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(9339,a,9270,a)]. 9443 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(6587,a,9399,a)]. 9444 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(255,a,8716,a(flip),b,9443,a)]. 9445 K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. [para(9443(a,2),8730(a,1))]. 9446 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(18(a,1),9444(a,1,2,1,1)),flip(a)]. 9447 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(4524(a,1),9446(a,1,2,1)),flip(a)]. 9448 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(4597(a,2),9446(a,1,2,1)),flip(a)]. 9449 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(255,a,9037,a(flip),b,9404,a(flip)),flip(a)]. 9451 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(21(a,1),9449(a,1,2,2)),flip(a)]. 9452 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(255,a,8558,a(flip),b,9451,a(flip)),flip(a)]. 9454 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(18(a,1),9452(a,1,2,2)),flip(a)]. 9455 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(149(a,1),9452(a,1,2,2)),flip(a)]. 9456 K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). [hyper(9342,a,9454,a),flip(a)]. 9457 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(255,a,8115,a,b,9454,a)]. 9459 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(255,a,8840,a,b,9455,a(flip)),flip(a)]. 9460 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(129(a,1),9459(a,1,2)),flip(a)]. 9461 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8356,a,9457,a)]. 9462 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(9457(a,2),8353(a,1))]. 9463 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(19(a,1),9461(a,1,2,2)),flip(a)]. 9464 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(122(a,1),9461(a,1,2,2))]. 9465 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(8504,a,9463,a)]. 9466 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(73(a,1),9465(a,1,2,2)),flip(a)]. 9467 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(8502,a,9466,a),flip(a)]. 9468 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(8136,a,9464,a)]. 9469 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(9464(a,1),8170(a,1,1))]. 9470 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(332(a,1),9462(a,1,2,2,1))]. 9471 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(8433,a,9469,a),flip(a)]. 9472 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(19(a,1),9471(a,1,2,2,1)),flip(a)]. 9473 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(9470,a,9472,a),flip(a)]. 9474 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(21(a,1),9473(a,1,2,2)),flip(a)]. 9475 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(19(a,1),9414(a,1,2,2)),flip(a)]. 9476 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(255,a,9014,a(flip),b,9417,a(flip)),flip(a)]. 9478 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(255,a,8999,a(flip),b,9476,a(flip)),flip(a)]. 9479 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(19(a,1),9476(a,1,2,2)),flip(a)]. 9480 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(255,a,7913,a,b,9479,a(flip)),flip(a)]. 9482 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(483(a,1),9480(a,1,2,2))]. 9484 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(255,a,8418,a(flip),b,9478,a(flip)),flip(a)]. 9485 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(19(a,1),9484(a,1,2,2,2)),flip(a)]. 9486 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(9485(a,1),9340(a,1))]. 9489 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(255,a,7641,a(flip),b,9442,a),flip(a)]. 9490 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(73(a,1),9489(a,1,1,1)),flip(a)]. 9491 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(20(a,1),9490(a,1,1,2)),flip(a)]. 9493 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(9359,a,9491,a),flip(a)]. 9494 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(8016(a,1),9491(a,1,1))]. 9495 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(9491(a,1),9359(a,1))]. 9496 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [para(9493(a,2),5252(a,2,2)),flip(a)]. 9497 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(7571(a,2),8690(a,1))]. 9498 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(255,a,7542,a(flip),b,7579,a)]. 9499 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. [para(7579(a,2),7899(a,1))]. 9500 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(7542(a,1),7612(a,1,1,2))]. 9501 R(K(x,y),T(T(y,z),u),w) = K(x,y). [hyper(5091,a,7674,a)]. 9502 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(z,x) \ u. [para(9501(a,1),679(a,1,1)),flip(a)]. 9503 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(8612,a,7693,a)]. 9504 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(8346,a,9503,a),flip(a)]. 9505 (T(T(x,y),z) \ 1) * T(x,y) = (x \ 1) * (x * K(z,T(x,y))). [hyper(255,a,5989,a(flip),b,7697,a(flip)),flip(a)]. 9507 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x). [hyper(255,a,396,a(flip),b,7831,a)]. 9508 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5556(a,1),7966(a,1,2))]. 9509 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5556(a,1),9508(a,2,2))]. 9510 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(9509(a,1),418(a,1,2)),flip(a)]. 9511 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(4458(a,1),9510(a,1,2,1))]. 9512 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(4458(a,1),9511(a,2,2,2))]. 9513 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(9512(a,1),4492(a,1,1))]. 9514 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(6929,a,7975,a)]. 9515 (x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x. [para(5392(a,1),8092(a,1,2,2))]. 9522 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(7699,a,8325,a)]. 9523 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(6728(a,2),9522(a,1,2,1))]. 9524 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(22,a,8637,a,b,8357,a)]. 9525 K(x,K(y,z \ (u * x))) = K(y,K(x,z \ u)). [hyper(8136,a,9524,a)]. 9526 K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). [hyper(255,a,8134,a,b,9524,a)]. 9527 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1303(a,1),9524(a,1,2,2))]. 9528 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(7802(a,1),9524(a,1,2)),flip(a)]. 9529 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(255,a,8134,a,b,9525,a)]. 9530 K(x,K(T(y,z),u \ (y * z))) = K(T(y,z),K(x,u \ z)). [para(127(a,1),9526(a,1,2,2,2))]. 9531 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(255,a,9504,a,b,9529,a(flip)),flip(a)]. 9532 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(9529(a,1),8454(a,1,2)),flip(a)]. 9533 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(255,a,8431,a(flip),b,9531,a(flip)),flip(a)]. 9534 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(8504,a,9533,a)]. 9535 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [para(9533(a,1),8115(a,1,2))]. 9536 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(255,a,9296,a,b,9534,a(flip)),flip(a)]. 9537 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(8176,a,9536,a)]. 9538 K(x,K(y,T(z \ (y * u),u))) = K(T(y,u),K(x,z \ u)). [para(7542(a,1),9530(a,1,2))]. 9539 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [hyper(8353,a,9535,a),flip(a)]. 9541 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [para(18(a,1),9539(a,1,2,2,1)),flip(a)]. 9543 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(29(a,2),9541(a,1,2,2)),flip(a)]. 9544 K(T(x,y),K(z,u \ y)) = K(z,K(x,(x * y) / u)). [para(8307(a,1),9538(a,1,2)),flip(a)]. 9545 K(T(x,y),K(z,u \ y)) = K(x,K(z,(x * y) / u)). [hyper(255,a,8134,a,b,9544,a)]. 9546 K(x,K(T(y,z),u \ z)) = K(y,K(x,(y * z) / u)). [hyper(8136,a,9545,a)]. 9547 K(x,K(y,(x * z) / u)) = K(y,K(x,z / u)). [para(8257(a,1),9546(a,1,2)),flip(a)]. 9548 K(x,K(y,(x * z) / u)) != w | K(x,K(y,z / u)) = w. [para(9547(a,2),8136(a,1))]. 9549 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(574(a,1),9543(a,1,2,2))]. 9550 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(9337,a,9549,a),flip(a)]. 9553 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(9550(a,1),5252(a,2,2))]. 9554 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(255,a,5252,a,b,9553,a)]. 9555 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(9554(a,1),8868(a,1,1,1))]. 9558 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(9357,a,8416,a),flip(a)]. 9560 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(5194(a,1),9558(a,1,2,2)),flip(a)]. 9561 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(7559(a,1),9558(a,1,2,2))]. 9562 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(255,a,6383,a,b,9560,a(flip)),flip(a)]. 9563 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(19(a,1),9562(a,1,2))]. 9564 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(9561(a,1),6670(a,1,1,2)),flip(a)]. 9565 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(4038(a,1),9563(a,2,2))]. 9566 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(255,a,6670,a(flip),b,9564,a)]. 9567 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(255,a,7210,a(flip),b,9566,a(flip)),flip(a)]. 9568 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(5608(a,1),9566(a,1,1,2)),flip(a)]. 9570 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(255,a,7206,a(flip),b,9567,a)]. 9571 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(5288(a,1),9570(a,1,2))]. 9573 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(9571(a,1),6460(a,1,1))]. 9574 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(9573(a,1),25(a,1)),flip(a)]. 9576 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(255,a,6055,a(flip),b,8591,a)]. 9577 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(80,a,9576,a(flip),b,5220,a)]. 9579 T(K(x,y) * T(z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). [para(6839(a,1),8733(a,1,1,2))]. 9580 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(255,a,6780,a(flip),b,8735,a(flip))]. 9581 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(5146(a,1),8746(a,2,1)),flip(a)]. 9582 (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(8793(a,1),5897(a,1,2,1))]. 9583 K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). [hyper(255,a,7270,a(flip),b,8795,a)]. 9585 K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). [hyper(255,a,6995,a(flip),b,9583,a(flip)),flip(a)]. 9586 K(x,y \ (z * (x / z))) = K(x,y \ x). [para(5271(a,1),9585(a,1,2,2))]. 9587 K(x,y \ ((z \ x) * z)) = K(x,y \ x). [para(70(a,1),9586(a,1,2,2,2))]. 9588 K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. [para(9587(a,1),7022(a,1))]. 9589 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(8687,a,8836,a),flip(a)]. 9590 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(255,a,7870,a(flip),b,9589,a(flip))]. 9591 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(255,a,8436,a(flip),b,8842,a)]. 9592 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(73(a,1),9591(a,1,2,2,1,2))]. 9593 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(255,a,5807,a(flip),b,9592,a(flip)),flip(a)]. 9596 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(255,a,7275,a(flip),b,8921,a(flip))]. 9597 K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). [hyper(6693,a,8931,a),flip(a)]. 9598 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(255,a,8892,a(flip),b,9597,a(flip)),flip(a)]. 9599 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(9598(a,1),5291(a,2,2,2)),flip(a)]. 9600 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7539(a,2),8956(a,1,2))]. 9609 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(9164(a,1),9174(a,1,1)),flip(a)]. 9610 x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). [hyper(255,a,2212,a(flip),b,9222,a)]. 9611 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [para(5552(a,1),9610(a,1,2))]. 9612 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(7434(a,1),9611(a,1,2)),flip(a)]. 9613 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(255,a,7481,a,b,9612,a(flip)),flip(a)]. 9614 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(9613(a,1),7632(a,1,1,2,1))]. 9615 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(255,a,9011,a(flip),b,9287,a(flip))]. 9616 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(9303(a,1),9289(a,2,2))]. 9617 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(255,a,8828,a,b,9616,a),flip(a)]. 9618 T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). [hyper(255,a,8865,a(flip),b,9617,a(flip))]. 9619 T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). [hyper(255,a,8958,a,b,9618,a(flip)),flip(a)]. 9620 T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). [para(128(a,1),9619(a,1,2,1))]. 9621 T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). [para(7102(a,1),9620(a,1,2,1,1))]. 9622 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(5375(a,1),9302(a,1,1,1))]. 9623 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(6559,a,9622,a),flip(a)]. 9624 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(9623(a,2),178(a,1,2,2))]. 9625 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(9623(a,2),430(a,2,2))]. 9626 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(8439(a,1),9311(a,1,1,1)),flip(a)]. 9627 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(9073(a,1),9626(a,2,1))]. 9628 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(255,a,5263,a,b,9627,a)]. 9629 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(255,a,8507,a(flip),b,9628,a(flip))]. 9630 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(255,a,9320,a(flip),b,9629,a(flip))]. 9631 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(592(a,1),9630(a,1,2,2)),flip(a)]. 9632 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(9630(a,1),9258(a,2,2))]. 9633 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [hyper(225,a,9403,a)]. 9634 L(K(x,y),z,x \ 1) = K(x,y). [hyper(422,a,9633,a)]. 9636 ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). [para(9633(a,1),6670(a,1,1))]. 9637 L(K(x \ 1,y),z,x) = K(x \ 1,y). [hyper(255,a,3963,a(flip),b,9634,a(flip)),flip(a)]. 9638 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(6468,a,9637,a)]. 9640 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(9637(a,1),112(a,1,2))]. 9641 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(4816(a,1),9638(a,1,1,1)),flip(a)]. 9642 R(K(x,y),z,x \ 1) = K((x \ 1) \ 1,y). [hyper(255,a,6209,a(flip),b,9641,a(flip)),flip(a)]. 9643 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(9641(a,1),6207(a,1,1)),flip(a)]. 9644 R(K(x,y),z,x \ 1) = K(x,y). [hyper(255,a,3312,a(flip),b,9642,a)]. 9645 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(9359,a,9644,a)]. 9646 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [para(9644(a,1),122(a,1,1)),flip(a)]. 9648 T(x,R(y,z,x \ 1)) = x * K(x,y). [para(9645(a,1),5252(a,2,2))]. 9650 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(255,a,5252,a,b,9648,a)]. 9651 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(685(a,1),9650(a,1,2))]. 9652 L(K(x,y),z,y \ 1) = K(x,y). [hyper(7086,a,9636,a)]. 9656 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(255,a,7035,a(flip),b,9652,a(flip)),flip(a)]. 9658 R(x,y,K(x \ 1,z)) = x. [hyper(454,a,9640,a)]. 9660 R(T(x,y),z,K(x \ 1,u)) = T(x,y). [para(9658(a,1),47(a,2,1))]. 9662 T(x,y * K(x \ 1,z)) = T(x,y). [hyper(255,a,6353,a(flip),b,9660,a(flip))]. 9664 K(x,y * K(x \ 1,z)) = x \ T(x,y). [hyper(80,a,9662,a(flip),b,5252,a(flip)),flip(a)]. 9666 T(x,K(x \ 1,y) * z) = T(x,z). [para(7559(a,1),9662(a,1,2))]. 9667 T(x,K(y,x \ 1) * z) = T(x,z). [para(7572(a,1),9662(a,1,2)),flip(a)]. 9668 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(7647(a,1),9662(a,1,2))]. 9669 T(x \ 1,K(x,y) * z) = T(x \ 1,z). [para(3312(a,1),9666(a,1,2,1))]. 9670 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(6053(a,1),9666(a,1,2)),flip(a)]. 9671 T(x,K(y,1 / x) * z) = T(x,z). [para(3707(a,2),9667(a,1,2,1))]. 9672 K(K(x,1 / y) * z,y) = y / T(y,z). [para(9671(a,1),5182(a,2,2))]. 9673 K(x,y * K(x \ 1,z)) = K(x,y). [hyper(255,a,5186,a,b,9664,a)]. 9677 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(7647(a,1),9673(a,1,2))]. 9679 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (T(K(x,y),z) * T(x \ 1,z)). [para(9669(a,1),834(a,1,2,2)),flip(a)]. 9681 K(K(x,1 / y) * z,y) = K(z,y). [hyper(255,a,5182,a,b,9672,a)]. 9682 K(K(x,y \ 1) * z,y) = K(z,y). [para(3707(a,1),9681(a,1,1,1))]. 9685 K(T(x,y \ 1) \ z,y) = K(x \ z,y). [para(5536(a,1),9682(a,1,1)),flip(a)]. 9687 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(6025(a,1),9682(a,1,1))]. 9692 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). [para(9677(a,1),6989(a,1,1))]. 9696 L(x,y,K(x \ 1,z)) = x. [hyper(422,a,9643,a)]. 9699 L(x \ 1,y,K(x,z)) = x \ 1. [para(3312(a,1),9696(a,1,3))]. 9700 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(9699(a,1),822(a,1,1)),flip(a)]. 9704 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(229,a,9646,a)]. 9705 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(172,a,9646,a,b,6533,a)]. 9708 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(45(a,2),9705(a,2,2))]. 9711 T(T(x * K(y * T(x,z),x),u),w) \ T(T(x,u),w) = K(x,T(T(T(x,z) * y,w),u)). [para(8031(a,1),9498(a,1,1,1,1,2))]. 9712 (x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))). [hyper(255,a,9205,a(flip),b,9500,a)]. 9713 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(x,z) * u. [hyper(255,a,5600,a(flip),b,9502,a)]. 9714 (T(T(x,y),z) \ 1) * T(x,z) = (x \ 1) * (x * K(y,T(x,z))). [para(43(a,1),9505(a,1,1,1))]. 9715 K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x). [para(18(a,1),9507(a,1,2,2,1,2))]. 9716 L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). [para(9514(a,1),421(a,1,2))]. 9717 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(9527(a,2),8504(a,1))]. 9718 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(255,a,8112,a(flip),b,9532,a)]. 9719 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(8621,a,9718,a)]. 9720 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(21(a,1),9719(a,1,2,2)),flip(a)]. 9721 L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). [para(9720(a,1),5253(a,1,2,1))]. 9722 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(255,a,9580,a(flip),b,9577,a)]. 9723 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(255,a,9250,a(flip),b,9590,a(flip)),flip(a)]. 9724 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [hyper(7895,a,9723,a)]. 9725 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(255,a,8715,a(flip),b,9724,a)]. 9726 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(255,a,6455,a(flip),b,9725,a)]. 9727 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(5406,a,9599,a),flip(a)]. 9728 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(255,a,8789,a,b,9727,a(flip)),flip(a)]. 9729 L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(9728(a,1),5195(a,1,1,1))]. 9730 T(T(x,K(y,x)),z * x) * ((T(x,x * z) * K(y,x)) \ u) = K(x,y) * u. [para(4568(a,1),9713(a,1,1))]. 9731 K(x \ 1,x) * K(y,T(x,z)) = (T(T(x,y),z) \ 1) * T(x,z). [hyper(255,a,7696,a,b,9714,a),flip(a)]. 9732 ((1 / x) * y) * T(((1 / x) * y) \ (K(z,u) * y),z) = K(z,u) * (K(x,z) * y). [para(5777(a,1),9715(a,1,2)),flip(a)]. 9733 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(7539(a,2),7546(a,1,1))]. 9734 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(47(a,2),7620(a,1,1))]. 9735 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). [hyper(255,a,8980,a(flip),b,7707,a)]. 9736 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(255,a,9700,a(flip),b,7715,a(flip))]. 9738 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(8235(a,1),9736(a,1,3))]. 9739 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(7108,a,9738,a)]. 9741 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(9739(a,1),2187(a,1,1,2))]. 9742 L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). [para(9739(a,1),3818(a,1,1))]. 9745 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(5490,a,7800,a),flip(a)]. 9746 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(255,a,7591,a,b,9745,a(flip)),flip(a)]. 9747 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(9746(a,1),6784(a,1,1,2)),flip(a)]. 9748 (x * y) \ ((T(x,z) * y) * x) = T(x,T(z,y)). [hyper(255,a,6734,a(flip),b,7823,a(flip))]. 9750 (x * y) \ ((T(x,z \ (u * x)) * y) * x) = T(x,T((u \ z) \ x,y)). [para(7002(a,1),9748(a,1,2,1,1))]. 9751 a(x,y * K(x,z),x) = a(x,y,T(x,z)). [hyper(636,a,7917,a),flip(a)]. 9752 a(x,y,T(x,z)) = a(x,y,x). [hyper(9413,a,9751,a),flip(a)]. 9753 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(9751(a,1),9413(a,1))]. 9754 a(x,T(y,x),x) != z | a(x,y,x) = z. [para(9752(a,1),7056(a,1))]. 9755 K(R((x * y) / x,z,u),T(w,y * x)) = K(L(R(y,z,u),x,y),w). [para(49(a,1),7925(a,2,1))]. 9756 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(255,a,5996,a(flip),b,8019,a)]. 9757 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(6672(a,1),9756(a,1,2)),flip(a)]. 9758 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(8267(a,1),8585(a,1,2))]. 9759 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7539(a,2),8291(a,1,1))]. 9760 K(x,K(y,T(z \ (x * u),x \ z))) = K(x,K(y,u / (x \ z))). [para(8322(a,1),7439(a,1,2))]. 9761 K(x,K(y,T(z \ (x * u),z))) = K(x,K(y,u / (x \ z))). [hyper(255,a,9058,a(flip),b,9760,a(flip)),flip(a)]. 9762 K(x,K(y,(x * z) / u)) = K(x,K(y,z / (x \ u))). [para(8255(a,1),9761(a,1,2))]. 9763 K(x,K(y,z / (x \ u))) = K(x,K(y,z / u)). [hyper(9548,a,9762,a),flip(a)]. 9764 K(x,K(y,z / (x * u))) = K(x,K(y,z / u)). [para(18(a,1),9763(a,1,2,2,2)),flip(a)]. 9765 R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u). [hyper(80,a,8380,a(flip),b,6416,a(flip))]. 9766 K(x \ (y * (x * z)),T(y,K(z,u))) = K(L(z \ 1,z,x) \ y,y). [hyper(255,a,8976,a(flip),b,8911,a(flip)),flip(a)]. 9767 x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. [para(8943(a,1),4518(a,1,2))]. 9768 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [hyper(255,a,7535,a(flip),b,8989,a)]. 9770 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [para(43(a,1),9415(a,1,1,2))]. 9771 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(7558(a,1),9416(a,1,1))]. 9772 K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). [hyper(7305,a,9692,a),flip(a)]. 9773 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(127(a,1),9772(a,1,2,1)),flip(a)]. 9774 K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). [para(166(a,1),9772(a,1,2,1,2)),flip(a)]. 9775 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [hyper(255,a,8979,a(flip),b,9773,a)]. 9776 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(255,a,7705,a(flip),b,9775,a(flip)),flip(a)]. 9777 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(9776(a,1),7252(a,1,1))]. 9778 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [hyper(6238,a,9733,a),flip(a)]. 9780 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(255,a,7944,a(flip),b,9778,a(flip))]. 9781 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(255,a,7701,a,b,9780,a)]. 9782 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [para(70(a,1),9780(a,1,2,1,1)),flip(a)]. 9783 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(70(a,1),9781(a,1,2,1,1)),flip(a)]. 9784 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(255,a,7700,a,b,9782,a(flip)),flip(a)]. 9785 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(255,a,7245,a(flip),b,9783,a(flip))]. 9786 K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). [para(70(a,1),9784(a,1,2,1)),flip(a)]. 9787 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(9470,a,9785,a),flip(a)]. 9788 K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). [para(6488(a,1),9787(a,1,2))]. 9789 K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). [hyper(8593,a,9786,a)]. 9790 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(255,a,8933,a(flip),b,9789,a(flip)),flip(a)]. 9791 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(73(a,1),9790(a,2,2))]. 9792 K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2858(a,1),9734(a,2,1,1))]. 9793 K(R(x,y,z),T(T(u,x * w),w)) = K(L(R(x,y,z),w,x),u). [hyper(255,a,8311,a(flip),b,9755,a(flip)),flip(a)]. 9794 K(R(x,y,z),T(T(u,w),x * w)) = K(L(R(x,y,z),w,x),u). [para(43(a,1),9793(a,1,2))]. 9795 K(R(x,y,z),T(T(u,w),w)) = K(L(R(x,y,z),w,x),u). [hyper(255,a,9032,a(flip),b,9794,a(flip)),flip(a)]. 9796 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(9339,a,9795,a),flip(a)]. 9798 K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). [para(49(a,2),9796(a,1,1))]. 9799 K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). [hyper(255,a,9368,a(flip),b,9798,a(flip))]. 9800 K(R(x,x \ a(x,y,x),z),u) = K(x,u). [hyper(255,a,7427,a(flip),b,9799,a)]. 9803 (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). [para(9800(a,1),7209(a,1,1)),flip(a)]. 9804 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [para(9168(a,1),9803(a,1,1)),flip(a)]. 9805 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [hyper(5622,a,9804,a)]. 9806 K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. [hyper(310,a,9804,a),flip(a)]. 9807 K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z. [para(9804(a,1),24(a,1)),flip(a)]. 9808 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(5894(a,2),9805(a,1,1))]. 9809 K(x,x * y) * z != K(x,y) * (a(x,y,x) \ u) | z = u. [para(9806(a,2),24(a,2))]. 9810 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(5683(a,1),9808(a,1,2))]. 9811 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(9759(a,1),6366(a,1,1)),flip(a)]. 9812 L(K(T(T(x,y),z * y),u),y,z) * w = K((z * y) / (z * (u \ y)),x) \ w. [para(9770(a,1),6488(a,1,1)),flip(a)]. 9813 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(9473(a,1),9771(a,1,1,1))]. 9817 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6873(a,1),7745(a,1,1))]. 9818 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(422,a,7773,a)]. 9819 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(255,a,9768,a(flip),b,9818,a(flip)),flip(a)]. 9823 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(19(a,1),9819(a,1,2,2)),flip(a)]. 9824 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(8051(a,1),9819(a,1,2))]. 9825 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(19(a,1),9824(a,1,2,2,2))]. 9826 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(7980(a,1),9824(a,1,2))]. 9827 K(x * y,T(y,z * x)) = K(y * x,T(y,z)). [hyper(7915,a,9826,a),flip(a)]. 9830 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(7914,a,9825,a),flip(a)]. 9831 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(21(a,1),9830(a,1,2,2)),flip(a)]. 9832 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(255,a,8631,a(flip),b,9831,a(flip)),flip(a)]. 9833 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(255,a,9447,a(flip),b,9832,a(flip)),flip(a)]. 9834 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(255,a,8710,a(flip),b,9833,a(flip))]. 9835 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(9470,a,9834,a),flip(a)]. 9836 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(255,a,9029,a(flip),b,9835,a(flip)),flip(a)]. 9840 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). [para(5509(a,1),7882(a,1,2)),flip(a)]. 9842 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7957(a,1),7961(a,1,2,2)),flip(a)]. 9843 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(255,a,5819,a(flip),b,9842,a)]. 9845 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(255,a,5821,a(flip),b,9843,a(flip))]. 9846 K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)). [hyper(255,a,5195,a(flip),b,8052,a)]. 9847 K(K(L(x,y,z),u) * w,L(x,v5,v6)) = K(w,L(x,v5,v6)). [para(7559(a,1),9846(a,1,1))]. 9848 K(K(x,y) * z,L(x,u,w)) = K(z,L(x,u,w)). [para(319(a,1),9847(a,1,1,1,1))]. 9849 K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). [para(5874(a,1),9848(a,1,1)),flip(a)]. 9850 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [para(129(a,1),9849(a,1,1,2)),flip(a)]. 9851 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(8185(a,1),8165(a,1,1))]. 9852 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(9851(a,1),124(a,1,1,1)),flip(a)]. 9853 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(9851(a,1),5611(a,1,2))]. 9854 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(255,a,9712,a(flip),b,8337,a(flip)),flip(a)]. 9859 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(255,a,8728,a(flip),b,8729,a)]. 9860 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(255,a,8731,a,b,9859,a(flip)),flip(a)]. 9861 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(73(a,1),9860(a,2,2,2,1))]. 9862 K(x,T(1 \ ((y \ z) * x),z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(255,a,9443,a(flip),b,8777,a(flip)),flip(a)]. 9863 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / (x * z))). [para(8138(a,1),8837(a,2,2))]. 9864 K(x,T(y,T((x * z) \ u,z))) != w | K(x,T(y,u / (x * z))) = w. [para(8837(a,2),8372(a,1))]. 9865 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(255,a,4493,a(flip),b,8940,a)]. 9866 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(18(a,1),9865(a,1,1,2,1)),flip(a)]. 9867 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(255,a,4494,a(flip),b,8941,a)]. 9868 (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). [para(2082(a,2),9120(a,2,2))]. 9869 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(81,a,7219,a(flip),b,9122,a)]. 9870 (x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)). [para(2077(a,1),9141(a,2,2))]. 9871 L(a(x,y,x),K(x,x * y),z) = K(x,y) * K(x * y,x). [hyper(255,a,9139,a(flip),b,9183,a)]. 9873 L(a(x,y,x),K(x,x * y),z) = a(x,y,x). [hyper(255,a,9154,a(flip),b,9871,a)]. 9874 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = x / a(y,z,y). [para(9873(a,1),316(a,1,2)),flip(a)]. 9876 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(8138(a,1),9278(a,1,1,1))]. 9879 (x \ y) * K((x \ 1) \ (x \ y),(x * (x \ y)) \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(9435(a,1),6772(a,1,2))]. 9880 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(5149,a,9581,a),flip(a)]. 9881 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(8572(a,1),9880(a,1,1,2))]. 9886 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(255,a,7605,a(flip),b,9747,a)]. 9887 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(45(a,2),9886(a,2,2))]. 9888 T(x,L(T(y,y \ z),u,w)) = T(x,L(T(y,z),u,w)). [para(128(a,2),9887(a,1,2,1))]. 9889 T(x,L(T(T(y * z,z) / y,(T(y * z,z) / y) \ (y * z)),u,w)) = T(x,L((y * z) / y,u,w)). [para(4150(a,1),9888(a,2,2,1))]. 9890 T(x,T((y \ z) \ x,u)) = T(x,T(z \ (y * x),u)). [hyper(255,a,9748,a(flip),b,9750,a(flip))]. 9891 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(8336(a,1),9854(a,1,2)),flip(a)]. 9892 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(7201(a,1),9891(a,2,2))]. 9893 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(59(a,1),9862(a,1,2,1))]. 9894 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(255,a,9783,a(flip),b,9893,a),flip(a)]. 9895 K(x,T(1 \ ((y \ z) * x),y)) = K(x,T((y \ z) * x,z)). [hyper(255,a,9443,a(flip),b,9894,a(flip)),flip(a)]. 9896 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [para(59(a,1),9895(a,1,2,1)),flip(a)]. 9897 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / z)). [para(9764(a,1),9863(a,2,2))]. 9898 K(x,T(y,T((x * z) \ u,z))) = K(x,T(y,u / z)). [hyper(255,a,8115,a(flip),b,9897,a)]. 9899 K(x,T(y,z / (x * u))) = K(x,T(y,z / u)). [hyper(9864,a,9898,a)]. 9900 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(19(a,1),9899(a,1,2,2,2)),flip(a)]. 9901 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [para(9900(a,1),5252(a,2,2))]. 9902 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(255,a,5252,a,b,9901,a)]. 9903 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(255,a,9651,a(flip),b,9902,a(flip))]. 9904 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(68(a,1),9903(a,1,2,2))]. 9905 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(129(a,1),9904(a,1,2)),flip(a)]. 9906 (x * (K(y,z) * L(K(u,y),w,v5))) * K(z,y) = x * L(K(u,y),w,v5). [hyper(6674,a,9870,a)]. 9907 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(9261(a,1),9876(a,1,1))]. 9908 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(8138(a,1),9907(a,2,1))]. 9909 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(8134(a,1),9908(a,2,2))]. 9910 K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). [para(8016(a,1),7748(a,1,1))]. 9911 L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). [para(7959(a,1),9910(a,1,2)),flip(a)]. 9913 L(x,K(y,x) * z,x) = L(x,z,x). [hyper(255,a,5539,a(flip),b,9911,a)]. 9915 L(x,T(x,y) \ z,x) = L(x,x \ z,x). [para(5560(a,1),9913(a,1,2))]. 9916 L(x,y / T(x,z),x) = L(x,x \ y,x). [hyper(255,a,9398,a,b,9915,a(flip)),flip(a)]. 9918 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [hyper(255,a,7398,a,b,9916,a(flip)),flip(a)]. 9921 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(255,a,5195,a(flip),b,8087,a)]. 9922 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(18(a,1),9921(a,1,1,2,1))]. 9923 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(8090(a,1),5490(a,1))]. 9924 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(5485,a,8091,a),flip(a)]. 9926 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(4038(a,2),8310(a,1,1))]. 9927 K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). [hyper(255,a,8115,a,b,8318,a),flip(a)]. 9928 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(8707,a,8642,a)]. 9929 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(9928(a,1),5252(a,2,2)),flip(a)]. 9930 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(9929(a,1),5255(a,1))]. 9931 K(x,(y * (z / (x \ 1))) \ u) = K(x,(y * z) \ (x \ u)). [hyper(255,a,9735,a(flip),b,8982,a(flip))]. 9932 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(255,a,9774,a(flip),b,9931,a(flip))]. 9933 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(37(a,2),9932(a,1,2,2))]. 9934 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(8670,a,9933,a)]. 9935 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(255,a,6692,a(flip),b,9142,a(flip)),flip(a)]. 9936 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(255,a,2077,a(flip),b,9935,a)]. 9937 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(6672(a,1),9936(a,1,2)),flip(a)]. 9938 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(7106(a,1),9937(a,1,2))]. 9939 T(x,a(y,z,K(x,u))) = x. [para(9937(a,1),7958(a,1,2))]. 9940 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(9939(a,1),7559(a,1,2,2)),flip(a)]. 9941 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [hyper(7079,a,9938,a)]. 9943 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2079,a,9938,a)]. 9944 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(255,a,6490,a,b,9938,a(flip)),flip(a)]. 9946 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [para(9938(a,1),5220(a,1,2)),flip(a)]. 9947 ((x * y) / x) * L(K(y,x),z,u) = y * a(u,z,K(x,y)). [para(9938(a,1),5858(a,2,2))]. 9949 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(7046(a,1),9938(a,1,2))]. 9950 (x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y). [para(9938(a,1),7113(a,1,1,2))]. 9951 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [para(9938(a,1),9125(a,1,2))]. 9952 (x * a(y,z,K(u,w))) * K(w,u) = x * L(K(w,u),z,y). [para(9938(a,1),9906(a,1,1,2))]. 9953 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(6493,a,9943,a)]. 9954 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [hyper(255,a,9142,a,b,9943,a(flip)),flip(a)]. 9956 K(L(x,y,z),u) * K(u,x) = a(z,y * x,K(u,x)). [para(7046(a,1),9943(a,1,1))]. 9957 x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. [para(9944(a,1),94(a,1,2)),flip(b)]. 9958 K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). [para(7039(a,1),9953(a,1,1))]. 9959 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(9949(a,1),5905(a,2,2))]. 9962 (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). [para(6633(a,1),9951(a,1,1)),flip(a)]. 9963 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [hyper(23,a,9950,a,b,9952,a),flip(a)]. 9964 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [hyper(255,a,5318,a(flip),b,9963,a(flip))]. 9965 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). [para(9963(a,1),384(a,1,1))]. 9966 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [hyper(255,a,5433,a,b,9954,a),flip(a)]. 9967 x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). [hyper(255,a,7677,a(flip),b,9962,a(flip)),flip(a)]. 9968 (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). [para(9946(a,1),9967(a,1,2)),flip(a)]. 9969 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [hyper(422,a,9968,a)]. 9970 a(x,y,a(z,u,K(y,w))) = 1. [hyper(39,a,9969,a)]. 9971 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(8242(a,1),9970(a,1,3,3))]. 9973 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(255,a,8135,a(flip),b,9432,a)]. 9975 R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. [para(7542(a,1),9811(a,1,1))]. 9976 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(8231(a,1),9813(a,1,1)),flip(a)]. 9977 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(9976(a,1),21(a,1,1))]. 9979 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(18(a,1),9977(a,1,1,1,1))]. 9980 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(9495,a,9926,a)]. 9981 K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). [para(5618(a,1),9926(a,2,2))]. 9982 K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(9926(a,1),8439(a,2,2))]. 9983 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(8176,a,9973,a)]. 9984 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(7582(a,1),9975(a,1,1))]. 9985 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(255,a,9759,a(flip),b,9984,a(flip))]. 9986 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(7233(a,2),9985(a,1,1))]. 9987 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(9986(a,1),5384(a,1))]. 9989 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(1327(a,1),7689(a,1,2)),flip(a)]. 9990 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(6362(a,1),7809(a,1,2)),flip(a)]. 9991 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(255,a,3340,a,b,9990,a)]. 9992 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(6209(a,1),7922(a,1,1,2))]. 9993 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(9992(a,2),7218(a,1,1))]. 9994 T(x * R(K(y,z),u,w),K(v5,y)) = T(x,K(v5,y)) * R(K(y,z),u,w). [hyper(8164,a,8216,a),flip(a)]. 9998 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). [hyper(255,a,9868,a(flip),b,8825,a)]. 9999 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(255,a,7513,a(flip),b,8966,a)]. 10001 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(255,a,9598,a(flip),b,9999,a(flip)),flip(a)]. 10002 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(7908(a,1),9143(a,1,2)),flip(a)]. 10004 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1751(a,1),9177(a,1,2,2))]. 10005 (K(x,y) * T(z,u)) / K(x,T(y,z)) = (z * (K(x,y) * K(z,u))) * K(y,x). [para(7539(a,2),9256(a,1,2))]. 10006 K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y). [para(8134(a,1),9384(a,1,1))]. 10009 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(4446(a,1),9523(a,1,1))]. 10010 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(255,a,9240,a(flip),b,10009,a)]. 10011 T(T(K(x,y) * z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). [para(9264(a,2),9579(a,1,1))]. 10012 T(x,y * x) * ((T(x,x * y) * K(z,x)) \ u) = K(x,z) * u. [para(3140(a,1),9730(a,1,1,1))]. 10013 T(x,y * x) * (L(x,y,x) \ z) = K(x,y) * z. [para(5707(a,1),10012(a,1,2,1))]. 10014 T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. [para(4563(a,1),10013(a,1,1))]. 10015 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(255,a,9376,a,b,10014,a(flip)),flip(a)]. 10016 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(9809,a,10015,a)]. 10017 a(x,y,x) * z = z * a(x,y,x). [hyper(9807,a,10015,a)]. 10018 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(9372(a,1),10015(a,1,2)),flip(a)]. 10019 T(x,a(y,z,y)) = x. [hyper(8094,a,10016,a)]. 10020 T(a(x,y,x),z) = a(x,y,x). [hyper(4425,a,10016,a)]. 10021 x / a(y,z,y) = a(y,z,y) \ x. [hyper(96,a,10016,a)]. 10022 K(x,a(y,z,y)) = 1. [hyper(41,a,10019,a)]. 10023 a(x,y,x) * z != u | z * a(x,y,x) = u. [para(10019(a,1),225(a,1,2))]. 10025 x * K(y,a(z,u,z)) = x. [para(10022(a,2),17(a,1,2))]. 10029 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(10025(a,1),208(a,1)),flip(a)]. 10030 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(10025(a,1),266(a,1)),flip(b)]. 10031 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(10025(a,1),5301(a,1,1,1))]. 10032 (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). [para(10025(a,1),5436(a,1,1)),flip(a)]. 10036 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(255,a,9609,a(flip),b,10017,a)]. 10039 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(10017(a,1),574(a,1,2,1))]. 10043 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = a(y,z,y) \ x. [hyper(255,a,9874,a,b,10021,a(flip)),flip(a)]. 10044 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(10021(a,1),9380(a,1,2))]. 10047 T(x,R(a(y,z,y),u,w)) = x. [hyper(174,a,10031,a)]. 10048 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(10020(a,1),10039(a,2,1))]. 10049 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(9164(a,2),10048(a,1,2,1))]. 10051 (x / K(y,z)) * K(y,y * z) = a(y,z,y) \ x. [para(9168(a,1),10043(a,1,1,2))]. 10052 (x * K(y,z)) * K(z,z * y) = a(z,y,z) \ x. [para(6673(a,1),10051(a,1,1))]. 10053 (x / R(y,z,y)) * y = a(y,z,y) \ x. [hyper(255,a,7065,a(flip),b,10052,a(flip)),flip(a)]. 10054 (x / R(y,z,y)) * y = x / a(y,z,y). [hyper(255,a,10021,a,b,10053,a)]. 10055 (a(x,y,x) * (z * x)) / R(x,y,x) = z. [hyper(23,a,18,a(flip),b,10053,a)]. 10056 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(255,a,9217,a(flip),b,10053,a(flip)),flip(a)]. 10057 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(79,a,10053,a(flip),b,9217,a(flip)),flip(a)]. 10058 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(81,a,20,a(flip),b,10054,a),flip(a)]. 10059 x * (y \ L(y,z,y)) = x / a(y,z,y). [hyper(255,a,9217,a(flip),b,10054,a(flip)),flip(a)]. 10060 a(x,y,x) * (z * x) = z * R(x,y,x). [para(10055(a,1),21(a,1,1)),flip(a)]. 10061 (x * R(y,z,y)) / (x * y) = a(y,z,y). [para(10055(a,1),77(a,1,1,1))]. 10062 a(x,y,x) \ K(x,z) = x \ L(T(x,z),y,x). [hyper(255,a,7709,a(flip),b,10056,a(flip))]. 10064 (x / y) * R(y,z,y) = x * a(y,z,y). [para(10058(a,1),21(a,1,1))]. 10065 x / (y \ L(y,z,y)) = x * a(y,z,y). [hyper(81,a,20,a(flip),b,10059,a)]. 10066 (x * y) * a(y,z,y) = x * R(y,z,y). [hyper(10023,a,10060,a)]. 10068 (x * R(y,z,y)) / (x * y) != u | a(y,z,y) = u. [para(10060(a,1),304(a,1,1)),flip(b)]. 10069 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(10061(a,1),226(a,1,1)),flip(b)]. 10070 ((x * y) * R(L(z,y,x),u,L(z,y,x))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(112(a,1),10061(a,1,2))]. 10072 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(255,a,7516,a,b,10064,a(flip)),flip(a)]. 10073 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4624(a,1),10064(a,1,2))]. 10074 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10064(a,2),9382(a,1,2))]. 10075 x / (a(y,z,y) \ 1) = x * a(y,z,y). [para(10057(a,2),10065(a,1,2))]. 10076 (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). [para(10066(a,1),10032(a,1,1,2))]. 10077 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(18(a,1),10072(a,1,2)),flip(a)]. 10078 R(x,y,x) * (T(x,z) \ u) = (K(z,x) * u) * a(x,y,x). [para(5556(a,1),10072(a,1,2))]. 10079 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [hyper(500,a,10075,a)]. 10080 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(10057(a,1),10079(a,1,3))]. 10081 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [para(9153(a,2),10080(a,1,2))]. 10082 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(10029,a,10077,a)]. 10083 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(10082(a,1),466(a,1,1,1))]. 10085 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(18(a,1),9866(a,1,1,2,1)),flip(a)]. 10086 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(18(a,1),9867(a,1,1,2,1))]. 10088 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(7666,a,9959,a)]. 10089 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(138(a,1),10088(a,1,2,2))]. 10090 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(255,a,7818,a,b,9989,a(flip)),flip(a)]. 10091 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(127(a,1),10004(a,1,2)),flip(a)]. 10092 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(255,a,10049,a(flip),b,10091,a)]. 10093 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). [para(5216(a,1),10092(a,1,1,2)),flip(a)]. 10094 (x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) * K(z,T(y,x)). [hyper(7607,a,10005,a),flip(a)]. 10095 K(x,K(y,z \ 1)) \ (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(6222(a,1),10006(a,1,2))]. 10096 K(K(x,y \ 1),z) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [hyper(5623,a,10095,a)]. 10097 K(x,K(y \ 1,z)) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [para(8100(a,1),10096(a,1,1))]. 10098 K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(8448(a,1),10097(a,1,1))]. 10099 K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z). [hyper(9419,a,10098,a)]. 10100 K(x,y) * (K(z,x) * (K(x,y) \ u)) = K(z,x) * u. [hyper(8207,a,10011,a)]. 10102 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(18(a,1),10100(a,1,2,2))]. 10103 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(5600(a,1),10100(a,1,2,2))]. 10105 (K(x,y) * K(z,x)) \ (K(z,x) * (K(x,y) * u)) = L(u,K(z,x),K(x,y)). [hyper(80,a,10102,a(flip),b,112,a)]. 10106 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [para(5608(a,1),10102(a,1,2)),flip(a)]. 10107 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(7044(a,1),10102(a,1,2,1)),flip(a)]. 10108 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(5622,a,10103,a)]. 10109 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(5622,a,10106,a)]. 10110 (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). [para(10108(a,1),1882(a,1,1,1,1))]. 10112 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(8138(a,2),10109(a,1,1))]. 10115 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(8138(a,2),10112(a,2,2,1))]. 10116 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(310,a,10115,a),flip(a)]. 10117 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(8138(a,2),10116(a,1,2,1))]. 10118 L(x,K(y,z),K(z,u)) != w | L(x,K(z,u),K(y,z)) = w. [para(10105(a,1),2086(a,1))]. 10119 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(255,a,7816,a(flip),b,10090,a(flip)),flip(a)]. 10120 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (T(x,u) * K(z,T(y,x))). [hyper(255,a,7774,a(flip),b,10094,a)]. 10121 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(7044(a,1),10107(a,1,1))]. 10122 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (K(x,u) * (K(z,y) * x)). [para(7566(a,2),10120(a,2,2))]. 10123 K(x,y) * (K(z,u) * (K(y,x) * z)) = T(z,T(u,K(x,y))). [hyper(8417,a,10122,a),flip(a)]. 10124 K(x,y) * (K(K(x,y) * z,u) * z) = T(K(x,y) * z,T(u,K(x,y))). [para(5608(a,1),10123(a,1,2,2))]. 10125 K(x,y) * (z * K(z * K(x,y),u)) = T(K(x,y) * z,T(u,K(x,y))). [para(8285(a,1),10124(a,1,2))]. 10126 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [hyper(255,a,5991,a(flip),b,7763,a(flip))]. 10127 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(255,a,5991,a(flip),b,7820,a(flip))]. 10128 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(114(a,2),10127(a,1,1))]. 10129 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(10127(a,1),9431(a,1,2))]. 10130 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(255,a,7794,a(flip),b,8071,a(flip)),flip(a)]. 10132 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(255,a,5821,a(flip),b,10130,a(flip))]. 10133 R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). [para(8479(a,1),10132(a,1,2))]. 10135 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(255,a,5994,a(flip),b,8080,a)]. 10136 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(5340(a,1),10135(a,1,1)),flip(a)]. 10137 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8197(a,1),8617(a,1,1,3))]. 10138 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5600(a,1),10137(a,2,2))]. 10139 L(K(x,T(T(y,z),u * (K(y,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7539(a,2),8988(a,1,1))]. 10140 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(8183,a,9319,a)]. 10141 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(7891,a,9555,a)]. 10142 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1303(a,1),9726(a,1,2,1))]. 10143 L(K(T(T(x,y),z * y),u),y,z) * w = K(x,(z * y) / (z * (u \ y))) * w. [hyper(255,a,5600,a(flip),b,9812,a)]. 10144 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(8049(a,1),9845(a,1,1,2))]. 10145 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(255,a,5821,a(flip),b,10144,a(flip))]. 10147 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(255,a,251,a(flip),b,9852,a)]. 10148 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(255,a,5242,a,b,10147,a)]. 10150 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(255,a,8134,a,b,10148,a)]. 10151 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(18(a,1),9979(a,2,2,1,1))]. 10152 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(96,a,10151,a)]. 10153 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(10151(a,1),304(a,1,1)),flip(b)]. 10155 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(127(a,2),10152(a,1,2))]. 10156 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(9300(a,2),10155(a,1,1))]. 10157 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(8914(a,1),10139(a,1,1))]. 10158 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(255,a,9770,a(flip),b,10157,a(flip)),flip(a)]. 10160 K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. [para(10140(a,1),8183(a,1))]. 10161 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(584(a,1),10142(a,1,2,2))]. 10162 L(K(T(x,y),T(z,u * y)),y,u) * w = K(x,(u * y) / (u * (z \ y))) * w. [para(7542(a,1),10143(a,1,1,1))]. 10163 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(10156(a,1),466(a,1))]. 10164 L(K(x,T(T(y,z * u),u)),u,z) * w = K(x,(z * u) / (z * (y \ u))) * w. [para(7542(a,1),10162(a,1,1,1))]. 10165 K((x * y) / (x * (z \ y)),u) * w = K(z,(x * y) / (x * (u \ y))) * w. [para(9415(a,1),10164(a,1,1))]. 10166 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(25,a,10165,a)]. 10167 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(255,a,10158,a(flip),b,10166,a(flip))]. 10168 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(255,a,6520,a(flip),b,10166,a(flip))]. 10169 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(10167(a,2),21(a,1,1))]. 10171 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(10168(a,2),10153(a,1))]. 10172 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1304(a,1),10169(a,1,1,2))]. 10173 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(10169(a,1),9088(a,1,2)),flip(a)]. 10174 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(10169(a,1),9246(a,1,2,2,1)),flip(a)]. 10175 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5622,a,10172,a),flip(a)]. 10176 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5608(a,1),10172(a,1,2,2)),flip(a)]. 10177 K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. [para(8242(a,1),10172(a,1,1))]. 10178 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(80,a,64,a(flip),b,10175,a),flip(a)]. 10179 (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [hyper(80,a,10178,a,b,1776,a)]. 10180 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(7516(a,1),10176(a,2,2))]. 10184 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5560(a,1),10180(a,1,2)),flip(a)]. 10185 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(255,a,10074,a(flip),b,10184,a(flip))]. 10186 (K(x,y) * z) * a(y,u,y) = y * (L(T(y,x),u,y) \ z). [hyper(255,a,10078,a(flip),b,10185,a(flip)),flip(a)]. 10187 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(10185(a,1),7449(a,1,2))]. 10188 a(x,y,x) * (K(z,x) * u) = x * (L(T(x,z),y,x) \ u). [hyper(10029,a,10186,a)]. 10189 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5634,a,10187,a),flip(a)]. 10190 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(5649(a,1),5304(a,2,1))]. 10191 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(5216(a,1),10190(a,1,1,1))]. 10192 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [para(10191(a,1),73(a,1,1))]. 10193 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(4505(a,1),10192(a,1,1,2))]. 10194 T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(6086(a,1),5400(a,1,2,1))]. 10195 K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [hyper(8694,a,10194,a)]. 10196 K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7539(a,2),10195(a,1,2,1))]. 10197 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(184(a,1),5695(a,1,2)),flip(a)]. 10198 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(5381(a,1),10197(a,1,1,2,1))]. 10199 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(183(a,1),5696(a,1,2)),flip(a)]. 10200 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(5381(a,1),10199(a,1,1,2,1))]. 10201 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(9938(a,1),10200(a,1,1)),flip(a)]. 10202 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(255,a,10121,a,b,10201,a(flip)),flip(a)]. 10203 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6491(a,1),10201(a,1,2)),flip(a)]. 10204 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(80,a,5608,a(flip),b,10203,a),flip(a)]. 10205 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(255,a,10202,a(flip),b,10204,a(flip))]. 10206 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(416,a,10205,a)]. 10207 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(255,a,9940,a,b,10205,a)]. 10209 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(10207(a,2),24(a,1))]. 10210 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5683(a,1),5871(a,1,2))]. 10214 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6978(a,1),6427(a,1,1,1))]. 10215 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(81,a,8995,a(flip),b,10214,a(flip))]. 10218 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(255,a,1070,a(flip),b,7321,a(flip)),flip(a)]. 10219 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(9140(a,1),7367(a,1)),flip(a)]. 10224 K(x,y) * T(z * R(K(y,u),w,v5),K(x,y)) = (z * K(x,y)) * R(K(y,u),w,v5). [para(9994(a,2),8659(a,1,2))]. 10225 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(83,a,8752,a),flip(a)]. 10226 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4902(a,1),10225(a,1,1)),flip(a)]. 10227 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(6511,a,10226,a)]. 10228 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(255,a,5992,a(flip),b,8759,a)]. 10230 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(255,a,8951,a(flip),b,8952,a)]. 10231 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(70(a,1),10230(a,1,1,2,1,2,1))]. 10232 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(255,a,8582,a(flip),b,10231,a(flip)),flip(a)]. 10233 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(8555,a,10232,a)]. 10234 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [hyper(255,a,7671,a(flip),b,9001,a)]. 10243 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(184(a,1),9388(a,2,1))]. 10244 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(255,a,9304,a(flip),b,10243,a(flip))]. 10245 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1849(a,1),9436(a,1,2))]. 10246 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(636,a,10245,a),flip(a)]. 10248 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)). [para(7157(a,1),10246(a,1,2)),flip(a)]. 10249 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [para(10246(a,1),9437(a,1,2))]. 10250 K(x * L(y,z,u),y) != K(x,y) * w | a(y,x,L(y,z,u)) = w. [para(10249(a,1),24(a,1))]. 10251 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1958(a,1),9438(a,1,2))]. 10252 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(636,a,10251,a),flip(a)]. 10253 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10251(a,1),636(a,1))]. 10254 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(9439,a,10252,a)]. 10255 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(10252(a,1),19(a,1,2))]. 10256 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(10252(a,1),6135(a,1,1)),flip(a)]. 10257 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(10252(a,1),9387(a,1,2)),flip(a)]. 10258 T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [para(10133(a,2),10252(a,1,2))]. 10259 R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(4787(a,1),10256(a,2,1))]. 10261 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(10254(a,1),6689(a,1,1))]. 10262 K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). [para(8060(a,1),10254(a,1,1))]. 10263 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(10254(a,1),8818(a,1,1)),flip(a)]. 10264 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(21(a,1),10261(a,1,2,2))]. 10265 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5671,a,10257,a)]. 10266 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(255,a,1070,a(flip),b,10265,a(flip)),flip(a)]. 10267 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(10265(a,1),19(a,1,2))]. 10268 ((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u). [hyper(255,a,1638,a(flip),b,9732,a(flip)),flip(a)]. 10269 (K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u). [para(8758(a,2),10268(a,1,1))]. 10270 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(73(a,1),10269(a,1,1,2,1))]. 10271 L(x,K(y,z),K(z,u)) = x. [hyper(422,a,10270,a)]. 10272 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(172,a,10270,a,b,19,a),flip(a)]. 10275 (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). [para(2075(a,1),10270(a,1,1))]. 10276 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(x,y) * (K(z,x) * u)) / (K(x,y) * K(z,x))). [para(10270(a,1),4127(a,2,2,1))]. 10277 (K(x,y) * z) / (K(y,u) * (K(x,y) * z)) = R(K(u,y),K(x,y),z). [para(10270(a,1),6417(a,1,2))]. 10278 L(x,K(y,z),K(u,y)) = x. [hyper(10118,a,10271,a)]. 10279 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(255,a,4506,a(flip),b,10271,a)]. 10280 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [hyper(255,a,6306,a(flip),b,10271,a(flip)),flip(a)]. 10281 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7542(a,1),10271(a,1,2))]. 10282 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(255,a,5436,a(flip),b,10278,a(flip)),flip(a)]. 10283 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(10278(a,1),112(a,1,2))]. 10284 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(10281(a,1),112(a,1,2))]. 10285 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(10279(a,1),9047(a,1,2,3))]. 10286 K(x,y) * (K(z,x) * K(K(z,x) * K(x,y),u)) = T(K(z,x) * K(x,y),u). [hyper(5255,a,10275,a),flip(a)]. 10287 (K(x,y) * z) / (K(u,y) * z) = K(x,y) * K(y,u). [hyper(81,a,10103,a(flip),b,10275,a)]. 10288 (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). [para(2075(a,1),10280(a,1,1))]. 10289 R(K(x,y),K(y,z),u) = K(x,y). [hyper(5091,a,10283,a)]. 10290 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(81,a,10106,a(flip),b,10283,a)]. 10291 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). [para(10289(a,1),3802(a,1,1)),flip(a)]. 10292 (x * K(y,z)) / (K(u,T(z,x)) * x) = K(y,T(z,x)) * K(T(z,x),u). [para(8235(a,1),10287(a,1,1))]. 10293 (K(x,T(y,z)) * K(y,u)) \ w = K(y,T(x,z)) * (K(u,y) * w). [para(7542(a,1),10288(a,1,1,1))]. 10294 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5162(a,1),10290(a,1,1))]. 10295 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(255,a,10002,a(flip),b,10272,a(flip)),flip(a)]. 10296 R(K(x,y),K(z,y),u) = K(x,y). [hyper(5613,a,10277,a),flip(a)]. 10298 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(T(z,x),u). [para(8235(a,1),10292(a,1,2))]. 10299 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(z,T(u,x)). [para(7542(a,1),10298(a,2,2))]. 10300 x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(160(a,2),10294(a,1,2,2,2))]. 10301 T(K(x,y) * K(z,x),T(u,K(x,y))) = T(K(z,x) * K(x,y),u). [hyper(255,a,10125,a(flip),b,10286,a(flip)),flip(a)]. 10302 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(5216(a,1),10093(a,2,2))]. 10303 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(8242(a,1),10177(a,1,2,2,1))]. 10305 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(255,a,7283,a(flip),b,10210,a(flip))]. 10306 ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). [para(10145(a,1),10218(a,2,2,2,1,1))]. 10307 (x * R(K(y,z),u,w)) * K(v5,y) = (x * K(v5,y)) * R(K(y,z),u,w). [hyper(225,a,10224,a)]. 10308 (x * R(K(y,z),u,w)) * K(v5,y) = x * (K(v5,y) * R(K(y,z),u,w)). [hyper(255,a,9120,a(flip),b,10307,a)]. 10309 x / (K(y,z) * R(K(z,y),u,w)) = x * (K(z,y) * R(K(y,z),u,w)). [hyper(255,a,9869,a,b,10308,a(flip)),flip(a)]. 10310 x * (K(y,z) * R(K(z,y),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(5604(a,1),10309(a,1,2)),flip(a)]. 10311 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [para(5604(a,1),10310(a,1,2)),flip(a)]. 10312 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(4320,a,10311,a)]. 10313 a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(10253,a,10258,a)]. 10314 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(10133(a,1),10259(a,1,1))]. 10315 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(9213,a,10282,a)]. 10316 T(x,T((1 / y) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(8805(a,1),6170(a,1,1))]. 10317 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3810(a,1),6345(a,1,2,1,1))]. 10318 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3312(a,1),10317(a,1,2))]. 10319 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(6440,a,10176,a)]. 10320 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(10319(a,1),7218(a,1,1,2)),flip(a)]. 10321 R(K(x,y),R(x,z,u),w) = K(x,y). [hyper(255,a,6670,a(flip),b,10320,a)]. 10322 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(255,a,6374,a(flip),b,10321,a(flip)),flip(a)]. 10323 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(255,a,6373,a(flip),b,7194,a(flip))]. 10324 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1940(a,2),7281(a,1,2))]. 10325 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. [para(7542(a,1),8295(a,2,1,2))]. 10326 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(8939(a,1),5485(a,1))]. 10327 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(4446(a,1),9184(a,1,1)),flip(a)]. 10328 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(10271(a,1),9197(a,1,1,1)),flip(a)]. 10329 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2075(a,1),10328(a,1,2,2))]. 10330 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(10329(a,1),6634(a,1,1))]. 10331 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(6839(a,1),10330(a,1,1,1)),flip(a)]. 10332 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(47(a,2),9268(a,1,1,2))]. 10333 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). [para(7539(a,2),9679(a,2,2,1))]. 10334 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(5490,a,9721,a),flip(a)]. 10335 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(255,a,8852,a(flip),b,10334,a)]. 10336 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(8861,a,10335,a)]. 10337 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9850(a,1),10336(a,1,2))]. 10338 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(255,a,10129,a(flip),b,10337,a(flip))]. 10339 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(255,a,8856,a(flip),b,10338,a(flip))]. 10340 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(8136,a,10339,a)]. 10341 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(255,a,9983,a(flip),b,10340,a(flip)),flip(a)]. 10342 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(255,a,9758,a(flip),b,10341,a)]. 10344 K(x,K(y,a(z,x,u))) = 1. [para(166(a,1),10342(a,1,2,2,3))]. 10346 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(10344(a,1),8105(a,1,2)),flip(a)]. 10347 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(255,a,17,a(flip),b,10346,a)]. 10348 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(255,a,8367,a(flip),b,10347,a(flip)),flip(a)]. 10349 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [para(10348(a,1),127(a,1,2)),flip(a)]. 10350 K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. [para(9729(a,1),5485(a,1))]. 10351 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(9836(a,2),9337(a,1))]. 10353 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(7554(a,1),10262(a,1,2)),flip(a)]. 10354 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(255,a,10254,a(flip),b,10353,a)]. 10356 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(129(a,1),10354(a,1,2)),flip(a)]. 10357 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(332(a,1),10354(a,1,2,2))]. 10358 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(10356(a,1),10264(a,1,1))]. 10359 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(255,a,7618,a(flip),b,10358,a)]. 10360 T(x,T((y \ 1) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(5088(a,1),10316(a,1,1))]. 10361 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(224,a,10324,a)]. 10362 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(6223(a,1),10361(a,1,2)),flip(a)]. 10363 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5209(a,1),10362(a,2,2))]. 10364 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(73(a,1),10363(a,1,1,2,1))]. 10365 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(73(a,1),10364(a,2,2,1,2))]. 10366 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(80,a,6834,a(flip),b,10365,a(flip))]. 10367 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(80,a,10365,a(flip),b,7184,a(flip))]. 10369 (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). [para(5192(a,1),10365(a,2,2))]. 10371 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(6672(a,1),10365(a,1,1)),flip(a)]. 10372 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [para(128(a,1),10366(a,2,1))]. 10373 L(K(x,y),y \ 1,z) = K(x,y). [hyper(5532,a,10367,a)]. 10374 L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). [hyper(255,a,9294,a(flip),b,10373,a)]. 10375 (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). [hyper(255,a,7184,a(flip),b,10369,a(flip)),flip(a)]. 10376 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5216(a,1),10371(a,1,2,1))]. 10377 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(10372(a,1),5025(a,1,1)),flip(a)]. 10378 (x * (y \ K(z,y))) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(10375(a,1),3766(a,1,1))]. 10379 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(255,a,4424,a(flip),b,10377,a(flip)),flip(a)]. 10380 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(6466(a,1),10379(a,2,1,1))]. 10381 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(7315(a,1),10380(a,1,1))]. 10382 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(10381(a,1),4290(a,2,1))]. 10383 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(255,a,7032,a(flip),b,10374,a(flip)),flip(a)]. 10384 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(255,a,9656,a(flip),b,10383,a(flip))]. 10385 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(255,a,9687,a(flip),b,10384,a)]. 10386 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(8081,a,10385,a)]. 10388 K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). [para(127(a,1),10386(a,1,1,1)),flip(a)]. 10391 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [hyper(255,a,9685,a(flip),b,10388,a(flip))]. 10392 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(255,a,7068,a,b,10391,a(flip)),flip(a)]. 10393 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(255,a,7038,a,b,10391,a(flip)),flip(a)]. 10394 L(K(x * y,x),y,z) = K(z \ (x * (z * y)),x). [hyper(255,a,7847,a(flip),b,10393,a)]. 10395 L(K(x * y,y),x,z) = K(z \ ((z * x) * y),y). [para(5894(a,2),10393(a,1,1))]. 10396 K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). [para(10393(a,1),9938(a,1,2))]. 10397 K(x \ (y * (x * z)),T(y,K(u,x \ (y * (x * z))))) = L(K(y * z,y),z,x). [hyper(255,a,7555,a,b,10394,a),flip(a)]. 10398 L(K(x * y,y),x,z) = K(z \ (y * (z * x)),y). [para(5894(a,2),10394(a,1,1))]. 10399 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x * y,x)). [para(10394(a,1),7438(a,2,1))]. 10400 L(K(x * T(y,z * x),T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). [para(127(a,1),10395(a,2,1,2))]. 10401 R(x,y \ 1,K(z,y)) = x. [hyper(304,a,10378,a)]. 10403 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [hyper(255,a,5328,a(flip),b,10401,a(flip)),flip(a)]. 10404 R(x,y \ 1,K(z,T(y,u))) = x. [para(7542(a,1),10401(a,1,3))]. 10405 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(5216(a,1),10404(a,1,3,2))]. 10406 R(x,y \ K(y,z),K(u,y)) = x. [para(5402(a,1),10405(a,1,2))]. 10407 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(255,a,6752,a(flip),b,10406,a(flip)),flip(a)]. 10408 R(x,y,K(z,y \ 1)) = x. [para(290(a,1),10406(a,1,2))]. 10410 R(x,y \ z,K(u,z \ y)) = x. [para(6580(a,1),10408(a,1,3))]. 10411 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(10410(a,1),451(a,1,1))]. 10412 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(5206(a,1),10403(a,1,2))]. 10413 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [para(10412(a,1),73(a,1,1))]. 10414 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [hyper(255,a,7117,a,b,10413,a(flip)),flip(a)]. 10415 (T(x,y) \ 1) \ T(y,x) = (x \ 1) \ y. [para(10413(a,1),7118(a,1,1))]. 10416 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(10414(a,1),4703(a,1,1)),flip(a)]. 10417 K(x,y) * ((x \ 1) \ y) = (T(x,y) \ 1) \ y. [para(10415(a,1),6556(a,1,2))]. 10419 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(5252(a,2),10407(a,1,1))]. 10420 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [para(10419(a,2),73(a,1,1))]. 10421 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(5374(a,1),10420(a,2,2))]. 10422 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(73(a,1),10416(a,1,1,2,1)),flip(a)]. 10423 (T(x,y) \ 1) \ y = x * (((x \ 1) \ y) / x). [hyper(255,a,5590,a(flip),b,10417,a(flip))]. 10424 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [para(10422(a,1),70(a,1,2))]. 10425 (T(1 * (K(x,y) * K(z,x)),u) \ 1) \ u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(9215(a,1),10423(a,2,2,1,1))]. 10426 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [hyper(255,a,7171,a,b,10424,a(flip))]. 10427 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(10426(a,1),2229(a,1,1))]. 10428 (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). [para(6064(a,2),10427(a,1,1))]. 10429 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(18(a,1),10428(a,1,1,1,1)),flip(a)]. 10430 (((K(x,y) * K(z,x)) * u) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(9215(a,1),10429(a,1,1,1)),flip(a)]. 10431 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(10411(a,1),7196(a,1,2))]. 10432 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(129(a,1),10421(a,1,1,1))]. 10433 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(10432(a,1),7299(a,1,1))]. 10434 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4690(a,2),10433(a,1,1,2))]. 10435 (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(9756(a,1),10434(a,1,1,2))]. 10436 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5385(a,1),10376(a,1,1,2))]. 10437 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5849(a,1),10436(a,2,2))]. 10439 R(x,K(y \ 1,z),y) = x. [hyper(5091,a,10437,a)]. 10440 L(x \ 1,K(x,y),z) = x \ 1. [hyper(422,a,10437,a)]. 10441 R(x,y,K(y \ 1,z)) = x. [hyper(7316,a,10439,a)]. 10442 (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). [para(10441(a,1),122(a,1,1)),flip(a)]. 10445 L(K(x \ 1,y),x,z) = K(x \ 1,y). [hyper(422,a,10442,a)]. 10446 a(x,y,K(y \ 1,z)) = 1. [hyper(39,a,10445,a)]. 10447 a(x,y \ 1,K(y,z)) = 1. [para(3312(a,1),10446(a,1,3))]. 10448 L(K(x,y),x \ 1,z) = K(x,y). [hyper(38,a,10447,a)]. 10450 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(255,a,6185,a(flip),b,10448,a(flip)),flip(a)]. 10451 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [para(10450(a,1),5252(a,2,2))]. 10452 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(255,a,5252,a,b,10451,a)]. 10453 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(255,a,9386,a(flip),b,10452,a)]. 10455 K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). [para(10396(a,1),5628(a,1,2))]. 10456 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(9957,a,10455,a)]. 10457 L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). [para(19(a,1),10456(a,2,2,2,1))]. 10458 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(5842(a,2),10456(a,1,1))]. 10459 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(233(a,1),10458(a,2,2))]. 10460 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [hyper(7521,a,10457,a)]. 10461 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(255,a,9773,a,b,10460,a(flip)),flip(a)]. 10462 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [hyper(255,a,10010,a(flip),b,10461,a(flip))]. 10463 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [hyper(9335,a,10462,a)]. 10464 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [hyper(255,a,9229,a(flip),b,10463,a(flip))]. 10466 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [hyper(255,a,8265,a(flip),b,10464,a(flip))]. 10467 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(255,a,7049,a(flip),b,10459,a)]. 10469 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(10270(a,1),10430(a,1,1,1))]. 10470 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(5939,a,10431,a),flip(a)]. 10471 K((x \ y) * (y \ x),z) = 1. [hyper(41,a,10470,a)]. 10472 T(x,(y \ z) * (z \ y)) = x. [hyper(40,a,10470,a)]. 10473 K(x * ((y * x) \ y),z) = 1. [para(18(a,1),10471(a,1,1,1))]. 10476 T(x,y * ((z * y) \ z)) = x. [para(18(a,1),10472(a,1,2,1))]. 10479 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(42,a,10473,a)]. 10480 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(6157,a,10476,a),flip(a)]. 10481 K(x,y * ((z * y) \ z)) = 1. [hyper(41,a,10476,a)]. 10485 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(162(a,2),10479(a,1,1,2))]. 10486 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(255,a,9741,a(flip),b,10485,a(flip)),flip(a)]. 10487 T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). [hyper(255,a,5928,a(flip),b,10485,a(flip)),flip(a)]. 10491 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(10486(a,1),2132(a,1,1))]. 10492 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * (K(z,x) * 1),u). [para(10280(a,1),10469(a,2,1))]. 10493 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * K(z,x),u). [para(17(a,1),10492(a,2,1,2))]. 10504 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [hyper(255,a,3317,a(flip),b,10466,a)]. 10505 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [hyper(8714,a,10504,a)]. 10506 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [hyper(255,a,9563,a,b,10505,a),flip(a)]. 10507 K(L(x \ 1,x,y) \ z,z) = L(K(z * x,z),x,y). [hyper(255,a,9766,a(flip),b,10397,a(flip)),flip(a)]. 10508 x / (L(K(y * z,y),z,u) * x) = K(y,L(z \ 1,z,u) \ y). [para(10507(a,1),5605(a,1,2,1))]. 10509 K(x,L(y \ 1,y,z) \ x) = L(K(x,x * y),y,z). [hyper(6492,a,10508,a),flip(a)]. 10510 L(K(x,x * ((y * z) \ y)),(y * z) \ y,z * y) = K(x,z \ x). [para(5463(a,1),10509(a,1,2,1)),flip(a)]. 10511 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(7436(a,1),10506(a,1,1))]. 10512 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(19(a,1),10511(a,2,2,1,2,1))]. 10513 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [hyper(255,a,5893,a,b,10512,a),flip(a)]. 10515 T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). [para(10513(a,1),5252(a,2,2))]. 10516 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(9600(a,1),10325(a,2,1))]. 10517 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(255,a,10138,a(flip),b,10516,a)]. 10518 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7542(a,1),10517(a,1,1,2))]. 10519 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(8235(a,1),10518(a,1,2))]. 10520 (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). [para(9428(a,2),10519(a,1,1))]. 10521 K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). [para(8193(a,1),10332(a,1,2))]. 10522 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * T(x \ K(x,y),z). [para(10099(a,1),10333(a,2,2))]. 10523 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [hyper(255,a,127,a(flip),b,10522,a)]. 10524 L(x \ 1,K(x,T(y,z)),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(7539(a,2),10523(a,1,1,2))]. 10525 (x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(10440(a,1),10524(a,1,1))]. 10526 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [hyper(255,a,6532,a,b,10525,a(flip)),flip(a)]. 10527 ((x \ 1) * y) / ((x \ K(x,z)) * y) = K(z,x). [para(10525(a,1),6539(a,1,2))]. 10529 L(x,y \ 1,K(y,z)) = x. [hyper(3610,a,10526,a)]. 10530 a(K(x,y),x \ 1,z) = 1. [hyper(39,a,10529,a)]. 10531 R(K(x,y),y \ 1,z) = K(x,y). [hyper(255,a,6420,a(flip),b,10527,a(flip)),flip(a)]. 10533 T(x,T(1 \ (y * x),z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(9890(a,1),10360(a,1,1))]. 10534 L(K(x * y,T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). [para(8332(a,1),10400(a,1,1))]. 10536 K(x \ (y * (x * z)),T(y,x * z)) = L(K(y * z,T(y,x)),z,x). [para(9827(a,1),10534(a,1,1)),flip(a)]. 10537 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(8602,a,10536,a),flip(a)]. 10539 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(8588(a,1),10521(a,1,2))]. 10540 T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). [para(10539(a,1),5821(a,1,1,2))]. 10542 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5819(a,1),10540(a,1,1))]. 10543 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(255,a,7388,a(flip),b,10542,a(flip))]. 10544 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10543(a,1),9010(a,2,1))]. 10545 T(x,T(y * x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(59(a,1),10533(a,1,1,2,1))]. 10546 T(x,T(y * x,z)) * K((y \ 1) \ 1,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(7551(a,1),10545(a,1,2))]. 10547 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(3312(a,1),10546(a,1,2))]. 10548 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(5055(a,1),5067(a,2,1))]. 10549 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(9426(a,1),5351(a,1,2))]. 10551 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(5226(a,1),5571(a,2,2))]. 10552 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = L(x,y,z). [hyper(255,a,33,a,b,10551,a)]. 10554 L(x,y,T(x,z)) = L(x,y,x). [hyper(255,a,7750,a(flip),b,10552,a(flip)),flip(a)]. 10556 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(10554(a,1),45(a,2,1))]. 10558 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(255,a,45,a,b,10556,a)]. 10559 L(T(x,y),T(z,x),x) = L(T(x,y),z,x). [hyper(255,a,4780,a(flip),b,10558,a(flip))]. 10561 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(10558(a,1),9371(a,1,2,1))]. 10562 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(9381,a,10561,a),flip(a)]. 10564 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10562(a,1),9373(a,1,1,2))]. 10565 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10066(a,1),10564(a,1,1))]. 10567 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(255,a,10558,a(flip),b,10565,a)]. 10569 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(255,a,5030,a,b,6662,a),flip(a)]. 10570 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(6633(a,1),6669(a,2,1))]. 10571 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). [hyper(255,a,35,a,b,10570,a)]. 10574 R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). [para(169(a,1),10571(a,1,2))]. 10575 R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). [para(7158(a,1),10574(a,1,1))]. 10577 T(x,y) \ (1 / (1 / T(x * K(z,x),y))) = (T(T(x,z),y) \ 1) * T(x,y). [para(5414(a,1),7324(a,1,2,2,2,1))]. 10578 T(x,y) \ T(1 / (1 / (x * K(z,x))),y) = (T(T(x,z),y) \ 1) * T(x,y). [para(2230(a,1),10577(a,1,2))]. 10579 T(x,y) \ T(1 / (K(x,z) / x),y) = (T(T(x,z),y) \ 1) * T(x,y). [para(5649(a,1),10578(a,1,2,1,2))]. 10580 T(x,y) \ T(1 / (K(x,z) / x),y) = K(x \ 1,x) * K(z,T(x,y)). [hyper(255,a,9731,a,b,10579,a)]. 10581 T(1 / (1 / x),y) \ T(1 / (K(x,z) / x),y) = K(z,T(x,y)). [hyper(3460,a,10580,a)]. 10583 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(155(a,1),8638(a,1,1))]. 10585 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(6673(a,1),10583(a,1,2))]. 10586 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(10318(a,1),10585(a,1,2)),flip(a)]. 10587 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(255,a,16,a(flip),b,10586,a)]. 10588 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5622,a,10587,a)]. 10589 K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(4814(a,1),10588(a,1,2,2))]. 10590 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(9315(a,1),10588(a,1,1))]. 10592 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(255,a,7758,a(flip),b,8973,a(flip))]. 10594 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(255,a,8937,a(flip),b,10592,a(flip))]. 10596 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(33(a,2),10594(a,2,2))]. 10598 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5608(a,1),10596(a,1,2,2)),flip(a)]. 10599 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10598(a,1),5602(a,1,2,2)),flip(a)]. 10600 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(255,a,5602,a(flip),b,10599,a)]. 10601 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(5207(a,1),10600(a,1,1,2)),flip(a)]. 10602 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(255,a,8678,a(flip),b,9236,a(flip))]. 10604 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(35(a,2),10602(a,1,1))]. 10605 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(255,a,8097,a,b,10604,a(flip)),flip(a)]. 10606 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(255,a,9494,a,b,10605,a(flip)),flip(a)]. 10607 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(255,a,10173,a(flip),b,10606,a(flip)),flip(a)]. 10609 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(255,a,9491,a(flip),b,10607,a(flip))]. 10610 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(10609(a,1),5291(a,2,2,2))]. 10611 T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. [para(10610(a,2),5406(a,1))]. 10612 K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). [hyper(255,a,8668,a(flip),b,9247,a(flip))]. 10614 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). [para(35(a,2),10612(a,1,2))]. 10615 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). [hyper(255,a,7928,a,b,10614,a(flip)),flip(a)]. 10616 x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). [para(10615(a,1),5252(a,2,2)),flip(a)]. 10617 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). [hyper(5255,a,10616,a),flip(a)]. 10618 T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(5560(a,1),10617(a,1,2,1)),flip(a)]. 10619 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(10611,a,10618,a),flip(a)]. 10621 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(5719,a,10619,a)]. 10622 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,y),u),w)). [hyper(9499,a,9711,a),flip(a)]. 10623 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [hyper(255,a,8841,a(flip),b,10622,a(flip))]. 10625 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(255,a,10141,a(flip),b,9980,a)]. 10626 K(a(x,y,z),x) = 1. [hyper(6412,a,10625,a),flip(a)]. 10628 T(a(x,y,z),x) = a(x,y,z). [hyper(42,a,10626,a)]. 10629 a(x,y,z) * x = x * a(x,y,z). [para(10628(a,1),127(a,1,2)),flip(a)]. 10631 (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(428(a,1),10070(a,1,1))]. 10632 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(23,a,5090,a(flip),b,10382,a)]. 10633 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(73(a,1),10548(a,1,1,2)),flip(a)]. 10634 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(4216(a,1),10569(a,1,1)),flip(a)]. 10635 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(10634(a,1),6665(a,1,1)),flip(a)]. 10636 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(255,a,5588,a(flip),b,10635,a)]. 10637 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(255,a,8596,a(flip),b,10636,a(flip)),flip(a)]. 10642 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(7736(a,1),10589(a,1,1))]. 10643 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(5186(a,2),10642(a,1,2))]. 10645 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(6408(a,1),10643(a,1,1))]. 10646 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(255,a,7811,a(flip),b,10645,a)]. 10647 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(2081,a,10646,a)]. 10651 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3958(a,1),5095(a,1,2))]. 10652 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4970(a,1),5096(a,1,2)),flip(a)]. 10653 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(255,a,33,a,b,10652,a)]. 10657 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2263(a,2),10653(a,1,2))]. 10658 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(2809(a,1),10653(a,1,2)),flip(a)]. 10659 L(x,T((y \ 1) \ 1,z) \ u,w) = L(x,T(y,z) \ u,w). [para(3456(a,1),10653(a,1,2))]. 10660 L(x,T(1 / y,z) \ u,w) = L(x,T(y \ 1,z) \ u,w). [para(3514(a,1),10653(a,1,2))]. 10661 L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). [para(7026(a,1),10653(a,1,2))]. 10662 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(6519(a,1),10657(a,1,2))]. 10663 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(9252(a,1),10658(a,1,2,2)),flip(a)]. 10664 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(y \ 1,z) \ 1,x). [hyper(255,a,10547,a,b,10660,a(flip)),flip(a)]. 10665 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(6506(a,1),10663(a,1,2,2)),flip(a)]. 10687 L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). [para(9918(a,1),6744(a,1,1)),flip(a)]. 10688 L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). [para(7525(a,1),10687(a,1,2,2))]. 10690 L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). [hyper(255,a,45,a,b,10688,a)]. 10691 L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). [para(5556(a,1),10690(a,1,2))]. 10692 L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). [para(8738(a,2),10691(a,1,2))]. 10693 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(255,a,10559,a(flip),b,10692,a(flip)),flip(a)]. 10694 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(255,a,10215,a(flip),b,6976,a)]. 10696 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(9153(a,1),10694(a,1,3))]. 10697 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(10696(a,1),379(a,1,1)),flip(a)]. 10698 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(10697(a,1),9176(a,1,1))]. 10699 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). [para(10698(a,1),2168(a,1,1)),flip(a)]. 10703 R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). [para(3332(a,1),8480(a,1,2,1)),flip(a)]. 10704 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3332(a,1),10703(a,1,2)),flip(a)]. 10706 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). [para(10704(a,1),578(a,1,1,1)),flip(a)]. 10708 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ T(y * L(y \ z,u,w),x)). [para(37(a,2),8661(a,2,2,2))]. 10709 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,L(y \ z,u,w)). [hyper(255,a,7999,a(flip),b,10708,a)]. 10711 K(x,L((y * x) \ (z * x),u,w)) = K(x,L(y \ z,u,w)). [para(507(a,1),10709(a,1,2))]. 10712 K(x,L((y / x) \ z,u,w)) = K(x,L(y \ (z * x),u,w)). [para(21(a,1),10711(a,1,2,1,1)),flip(a)]. 10713 K(x,L(y \ (((y / x) * z) * x),u,w)) = K(x,L(z,u,w)). [para(18(a,1),10712(a,1,2,1)),flip(a)]. 10714 L(K(x,y \ (((y / x) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). [hyper(7021,a,10713,a)]. 10715 L(K(x,y \ (((x \ y) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). [para(8972(a,1),10714(a,1,1))]. 10716 L(K(x,y),((z / x) * y) * x,u) = K(x,L(y,z,u)). [para(7250(a,1),10715(a,1,1))]. 10717 K(L(x,(y / x) * z,u),z) = K(x,L(z,y,u)). [hyper(255,a,7046,a(flip),b,10716,a(flip)),flip(a)]. 10719 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(255,a,10481,a(flip),b,10717,a(flip))]. 10720 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(255,a,7075,a(flip),b,10719,a(flip)),flip(a)]. 10722 K(x,a(K(y,z),u,u \ 1)) = 1. [para(10312(a,1),10720(a,1,2))]. 10723 T(x,a(K(y,z),u,u \ 1)) = x. [hyper(42,a,10722,a)]. 10724 T(x,a(K(y,z),u \ 1,u)) = x. [para(3965(a,1),10723(a,1,2))]. 10725 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(40,a,10724,a)]. 10726 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(255,a,3952,a,b,10725,a)]. 10727 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5610(a,2),10726(a,1,1))]. 10728 K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u). [hyper(255,a,10196,a,b,10727,a(flip)),flip(a)]. 10729 K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u). [hyper(255,a,7570,a,b,10728,a(flip)),flip(a)]. 10730 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(255,a,8813,a(flip),b,8811,a)]. 10731 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [hyper(255,a,6850,a(flip),b,10730,a)]. 10732 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(255,a,10453,a(flip),b,10731,a(flip))]. 10734 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(255,a,9905,a,b,10732,a(flip)),flip(a)]. 10735 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(255,a,9670,a(flip),b,10734,a(flip)),flip(a)]. 10736 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(37(a,2),10735(a,1,2,1)),flip(a)]. 10737 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [hyper(255,a,9475,a(flip),b,10736,a(flip)),flip(a)]. 10738 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [hyper(255,a,9668,a(flip),b,10737,a)]. 10739 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [hyper(255,a,9414,a(flip),b,10738,a(flip)),flip(a)]. 10740 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(9467(a,1),8872(a,1,2))]. 10741 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(8138(a,1),10740(a,1,2))]. 10743 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(8548(a,1),10741(a,2,1))]. 10744 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(255,a,10263,a(flip),b,10743,a(flip)),flip(a)]. 10745 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(10219,a,10744,a)]. 10746 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(255,a,10295,a(flip),b,10745,a(flip)),flip(a)]. 10747 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). [hyper(7899,a,9051,a),flip(a)]. 10754 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). [para(8203(a,1),9401(a,1,2))]. 10755 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(255,a,8370,a(flip),b,10754,a)]. 10757 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(18(a,1),9441(a,1,2,1))]. 10759 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(33(a,2),10757(a,1,2))]. 10760 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(255,a,8655,a(flip),b,10759,a(flip)),flip(a)]. 10761 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(255,a,7435,a(flip),b,10760,a)]. 10764 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(19(a,1),10761(a,2,2,2))]. 10765 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(4621(a,1),10764(a,1,1,2))]. 10766 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(7483,a,10765,a)]. 10768 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(255,a,10601,a(flip),b,10766,a(flip))]. 10769 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(127(a,1),9624(a,1,2))]. 10770 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(9987,a,10769,a)]. 10771 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(255,a,8750,a(flip),b,10770,a(flip)),flip(a)]. 10772 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(21(a,1),10771(a,1,2,1)),flip(a)]. 10773 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(255,a,8990,a(flip),b,10772,a)]. 10774 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(166(a,1),10773(a,1,2)),flip(a)]. 10775 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(10773(a,1),9625(a,1,2))]. 10776 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(255,a,7053,a(flip),b,10775,a(flip))]. 10777 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(81,a,10776,a(flip),b,127,a(flip))]. 10779 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(255,a,251,a(flip),b,10777,a(flip))]. 10784 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(10779(a,1),7984(a,1,2))]. 10789 K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))). [hyper(255,a,9407,a(flip),b,9788,a(flip)),flip(a)]. 10790 K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(6614(a,1),9982(a,1,2))]. 10791 K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). [hyper(255,a,9315,a(flip),b,10790,a(flip)),flip(a)]. 10793 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10539(a,1),10544(a,1,2,1))]. 10794 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(5560(a,1),10793(a,1,2))]. 10796 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(7539(a,2),10590(a,1,2,2,1))]. 10797 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(255,a,4930,a(flip),b,10651,a(flip)),flip(a)]. 10798 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(255,a,9823,a(flip),b,10747,a)]. 10800 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(255,a,8254,a(flip),b,10798,a)]. 10801 K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(5600(a,1),10796(a,1,2))]. 10802 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(4047(a,1),10797(a,1,2))]. 10803 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(5716,a,10802,a),flip(a)]. 10805 R(x,1 / y,z) = R(x,y \ 1,z). [para(691(a,1),10803(a,1,2)),flip(a)]. 10806 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(1250(a,1),10803(a,1,2)),flip(a)]. 10809 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(10805(a,1),3868(a,1,2))]. 10810 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(10806(a,1),122(a,1,1))]. 10811 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(10810(a,1),25(a,1))]. 10812 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(3065(a,1),10809(a,1,2,1))]. 10813 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4387(a,1),10812(a,1,2,1)),flip(a)]. 10815 (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(1310(a,1),4673(a,1,1))]. 10816 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1328(a,1),10815(a,1,2))]. 10817 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(636,a,10816,a),flip(a)]. 10818 a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(255,a,4787,a,b,10817,a(flip)),flip(a)]. 10819 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4446(a,1),10818(a,1,1))]. 10820 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(255,a,10313,a(flip),b,10819,a(flip)),flip(a)]. 10821 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4788,a,10820,a)]. 10822 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(10821(a,1),10314(a,2,1))]. 10823 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(255,a,10256,a(flip),b,10822,a(flip)),flip(a)]. 10828 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) / K(y,z). [para(6807(a,1),7775(a,2,1))]. 10829 T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ x) = (x / y) \ T(x,y). [hyper(255,a,564,a(flip),b,7955,a)]. 10830 T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ x) = (x * y) / x. [hyper(255,a,4131,a(flip),b,10829,a)]. 10831 (T(x,y) / (x / y)) \ x = x / ((x * y) / x). [para(10830(a,1),199(a,1,2)),flip(a)]. 10832 (x * y) / (((x * y) * y) / (x * y)) = (T(x * y,y) / x) \ (x * y). [para(20(a,1),10831(a,1,1,2)),flip(a)]. 10833 (T(x * y,y) / x) \ (x * y) = x * K(y,x * y). [hyper(255,a,6840,a(flip),b,10832,a(flip))]. 10834 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(255,a,10228,a(flip),b,9286,a)]. 10836 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(255,a,6580,a(flip),b,10834,a)]. 10837 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(6591(a,1),10836(a,1,2,2))]. 10838 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(255,a,9389,a(flip),b,9392,a)]. 10839 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(8486(a,1),10838(a,1,2,1,2,1))]. 10840 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(7309,a,9777,a),flip(a)]. 10841 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(9352,a,10840,a)]. 10842 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(7354,a,10841,a)]. 10843 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(383(a,1),10842(a,1,2,1,2))]. 10844 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(255,a,9934,a(flip),b,10843,a(flip))]. 10845 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(7353,a,10844,a)]. 10846 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(255,a,7251,a,b,10844,a(flip)),flip(a)]. 10847 K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5265(a,1),10844(a,1,2,1)),flip(a)]. 10848 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(10844(a,1),7255(a,1,2,2))]. 10849 K(x,(y * z) \ (u * x)) != w | K(x,(y * (z / x)) \ u) = w. [para(10844(a,1),7353(a,1))]. 10850 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(10844(a,1),7256(a,1,1))]. 10851 K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5699(a,2),10847(a,1,2,1,1))]. 10852 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(5694,a,10848,a),flip(a)]. 10853 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(7272,a,10852,a)]. 10854 K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. [para(10852(a,1),7272(a,1))]. 10855 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [hyper(255,a,5816,a,b,10851,a(flip)),flip(a)]. 10856 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(255,a,10846,a(flip),b,10850,a(flip))]. 10857 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(255,a,8935,a(flip),b,10856,a(flip)),flip(a)]. 10858 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(255,a,7942,a,b,10857,a(flip))]. 10859 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(255,a,9482,a(flip),b,10858,a)]. 10860 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(21(a,1),10859(a,1,2,1)),flip(a)]. 10861 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(255,a,7649,a(flip),b,10860,a(flip))]. 10862 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(255,a,6580,a(flip),b,10861,a)]. 10863 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(5502,a,10862,a),flip(a)]. 10864 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(255,a,7250,a(flip),b,10862,a(flip))]. 10866 (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). [para(10863(a,1),6670(a,1,1,2))]. 10867 T(1 / (1 / x),y) \ T(1 / (K(x,z * (x \ u)) / x),y) = K(x \ (z * u),T(x,y)). [para(10863(a,1),10581(a,1,2,1,2,1))]. 10868 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(255,a,8660,a,b,10864,a(flip)),flip(a)]. 10872 L(K(x,x \ y),y,z) = K(x,x \ y). [para(18(a,1),10868(a,1,3))]. 10874 a(x,y,K(z,z \ y)) = 1. [hyper(39,a,10872,a)]. 10875 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(255,a,7803,a(flip),b,10872,a(flip)),flip(a)]. 10876 a(x,y,K(z \ y,z)) = 1. [para(5389(a,1),10874(a,1,3))]. 10877 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(38,a,10876,a)]. 10878 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(8699,a,10877,a)]. 10879 K((x * y) \ z,y) = K(y \ (x \ z),y). [hyper(7304,a,10877,a)]. 10881 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(255,a,8969,a(flip),b,10875,a(flip))]. 10883 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(19(a,1),10878(a,1,1,2,2))]. 10884 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(10878(a,1),8747(a,1,2))]. 10885 K((x * y) \ z,x) = K(x \ (y \ z),x). [hyper(255,a,6970,a(flip),b,10879,a(flip)),flip(a)]. 10886 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(255,a,7761,a(flip),b,10883,a(flip))]. 10887 K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [para(1420(a,1),10885(a,1,1,1)),flip(a)]. 10888 K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(4966(a,1),10886(a,1,1,2,1))]. 10891 R(x,y,K(z \ y,z)) = x. [hyper(757,a,10884,a)]. 10893 R(x,y / z,z) = R(x,z \ y,z). [hyper(255,a,10575,a(flip),b,10891,a(flip))]. 10894 R(x,y * z,K(z,y)) = x. [para(18(a,1),10891(a,1,3,1))]. 10895 R(x,y,T(z,y)) = R(x,y,z). [hyper(7345,a,10894,a)]. 10896 (x * (y * z)) * K(z,y) = x * (z * y). [para(10894(a,1),464(a,1,1)),flip(a)]. 10904 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(10895(a,1),10248(a,2,2))]. 10907 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [hyper(255,a,8711,a(flip),b,10893,a(flip))]. 10908 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(255,a,6373,a(flip),b,10893,a(flip))]. 10911 K(x,L(y,x,z)) = K(x,y). [hyper(7054,a,10896,a)]. 10912 K(L(x,y,z),y) = K(x,y). [hyper(255,a,9096,a,b,10911,a(flip)),flip(a)]. 10914 L(K(x,y),z,y * x) = K(x,y). [hyper(255,a,10774,a(flip),b,10911,a(flip)),flip(a)]. 10915 T(x,L(y,x,z)) = x * K(x,y). [para(10911(a,1),5252(a,2,2))]. 10917 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(10911(a,1),9323(a,1,1))]. 10921 K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [para(448(a,1),10912(a,1,1))]. 10923 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(10914(a,1),10151(a,1,1))]. 10924 T(x,L(y,x,z)) = T(x,y). [hyper(255,a,5252,a,b,10915,a)]. 10927 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(255,a,8065,a(flip),b,10924,a(flip)),flip(a)]. 10928 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(10924(a,1),127(a,1,2))]. 10930 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(448(a,1),10924(a,1,2))]. 10931 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(10924(a,1),7351(a,1,1,2)),flip(a)]. 10935 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(10928(a,1),1426(a,1,2,2))]. 10936 L(x,T(y,x),z) = L(x,y,z). [hyper(255,a,33,a,b,10931,a),flip(a)]. 10938 L(x,y / x,z) = L(x,x \ y,z). [para(129(a,1),10936(a,1,2)),flip(a)]. 10941 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [hyper(255,a,508,a(flip),b,10938,a(flip))]. 10942 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(10938(a,1),7071(a,1,1))]. 10943 K(x \ (y * z),x) = K(y * (x \ z),x). [hyper(6693,a,10866,a),flip(a)]. 10945 K(K(x,y) * (z \ T(y,x)),z) = K(z \ y,z). [para(5207(a,1),10943(a,1,1,2)),flip(a)]. 10946 K((T(x,y) / z) \ x,T(x,y) / z) = K(K(y,x) * z,T(x,y) / z). [para(73(a,1),10945(a,1,1,2)),flip(a)]. 10947 K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(4966(a,1),10881(a,1,2,2,1,2))]. 10948 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(10881(a,1),7046(a,1,1)),flip(a)]. 10949 (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,K(x,y),y * x). [para(10923(a,2),267(a,1,2))]. 10951 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(255,a,9321,a(flip),b,10917,a(flip))]. 10953 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(255,a,10128,a(flip),b,10951,a(flip)),flip(a)]. 10954 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(905(a,1),10951(a,1,1)),flip(a)]. 10956 L(x,K(y,z),z * y) = L(x,z * y,K(y,z)). [hyper(5355,a,10949,a),flip(a)]. 10957 L(x,K(y,z),z * y) != u | L(x,z * y,K(y,z)) = u. [para(10949(a,1),5355(a,1))]. 10958 L(L(x,y,z),K(y,z),z * y) = L(x,T(y,z),z). [hyper(255,a,7264,a(flip),b,10956,a)]. 10960 a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(255,a,10246,a(flip),b,10904,a)]. 10961 a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). [hyper(7303,a,10960,a)]. 10962 a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). [para(45(a,2),10961(a,1,3))]. 10963 (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). [hyper(255,a,2752,a(flip),b,10962,a(flip)),flip(a)]. 10964 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(255,a,7661,a(flip),b,10954,a)]. 10965 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(255,a,615,a(flip),b,10964,a)]. 10966 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(9354,a,10965,a)]. 10968 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(10326,a,10966,a)]. 10969 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = K(L(x,y,z),(u * w) \ v5). [hyper(255,a,7046,a(flip),b,10948,a)]. 10970 K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). [hyper(255,a,9145,a(flip),b,10963,a(flip)),flip(a)]. 10971 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [hyper(10350,a,10921,a)]. 10972 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(255,a,45,a,b,10930,a(flip)),flip(a)]. 10973 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(255,a,10953,a(flip),b,10971,a(flip))]. 10975 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(9728(a,1),10972(a,1,1))]. 10976 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(10927(a,1),10975(a,1,1)),flip(a)]. 10977 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10976(a,1),5546(a,1,2,1))]. 10979 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(255,a,5673,a(flip),b,10977,a(flip))]. 10980 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),x \ u). [para(10979(a,1),9158(a,1,2)),flip(a)]. 10981 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(127(a,1),10935(a,1,1,1))]. 10982 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1841,a,10981,a),flip(a)]. 10983 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(127(a,1),10982(a,1,2))]. 10984 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(8674,a,10983,a),flip(a)]. 10986 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(10984(a,1),7046(a,1,1))]. 10987 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(255,a,7046,a(flip),b,10986,a(flip))]. 10988 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(10987(a,1),10467(a,1,1))]. 10989 L(K(x,x * y),y,z) = K(x,x * y). [para(9107(a,1),10988(a,1,1))]. 10991 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(7521,a,10989,a)]. 10992 K(x,x * ((y * z) \ y)) = K(x,z \ x). [hyper(255,a,10510,a(flip),b,10989,a(flip))]. 10993 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(255,a,10457,a(flip),b,10989,a(flip)),flip(a)]. 10995 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(10989(a,2),5394(a,1,2))]. 10999 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(10849,a,10993,a)]. 11001 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(255,a,7701,a(flip),b,10993,a(flip)),flip(a)]. 11002 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1423(a,1),10993(a,1,2))]. 11003 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(10993(a,1),7046(a,1,1))]. 11009 L(K(x * y,x),y,z) = K(x * y,x). [hyper(6485,a,10995,a)]. 11010 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(255,a,10392,a(flip),b,11009,a(flip)),flip(a)]. 11011 L(K(x * y,y),x,z) = K(y * x,y). [para(5894(a,2),11009(a,1,1))]. 11012 L(K(x * y,y),x,z) = K(x * y,y). [hyper(255,a,5894,a,b,11011,a)]. 11014 K(x \ (y * (x * z)),y) = K(z * y,y). [hyper(255,a,10398,a(flip),b,11012,a(flip)),flip(a)]. 11015 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(10854,a,11010,a)]. 11016 K((x / y) \ z,y) = K(y * (x \ z),y). [hyper(8695,a,11010,a)]. 11017 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(8685,a,11010,a)]. 11018 K(x * ((y * x) \ z),x) = K(y \ z,x). [hyper(8684,a,11010,a),flip(a)]. 11019 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(8039,a,11010,a)]. 11021 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(255,a,7846,a(flip),b,11010,a(flip))]. 11022 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(11010(a,1),5991(a,1,1,1,2))]. 11024 K(x,y \ z) * K(x * (y \ z),x) = a(x,(z \ y) \ 1,x). [para(11010(a,1),9157(a,1,2))]. 11026 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(10991(a,1),5252(a,2,2))]. 11027 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(11015(a,1),5992(a,1,1,1,2))]. 11028 T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). [hyper(255,a,5252,a,b,11026,a)]. 11029 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(255,a,10739,a(flip),b,11028,a(flip)),flip(a)]. 11030 T(x,y \ (z * x)) = T(x,x * (y \ z)). [hyper(255,a,8085,a,b,11029,a(flip)),flip(a)]. 11031 T(x,x * (y \ z)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(11030(a,1),7109(a,1,1))]. 11032 a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. [para(11024(a,1),9180(a,1))]. 11033 L(x,(y \ z) \ 1,x) = L(x,z \ y,x). [hyper(255,a,5707,a(flip),b,11031,a(flip))]. 11034 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(255,a,7046,a(flip),b,11003,a(flip))]. 11035 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(9923,a,11034,a)]. 11036 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(255,a,10837,a(flip),b,11035,a(flip))]. 11037 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(255,a,5991,a(flip),b,11022,a(flip))]. 11038 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(255,a,7041,a,b,11037,a(flip)),flip(a)]. 11039 K(x \ (y * z),T(x,u)) = K(y * (x \ z),T(x,u)). [hyper(255,a,10581,a(flip),b,10867,a(flip))]. 11040 K(x * (y \ 1),T(y,z)) = K(y \ x,T(y,z)). [para(17(a,1),11039(a,1,1,2)),flip(a)]. 11041 K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * ((1 / (x \ y)) \ 1),T(1 / (x \ y),x)). [para(7868(a,1),11040(a,1,2)),flip(a)]. 11042 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(255,a,10973,a(flip),b,10887,a(flip)),flip(a)]. 11043 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(255,a,10968,a(flip),b,11042,a(flip)),flip(a)]. 11044 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(255,a,11017,a(flip),b,11043,a(flip)),flip(a)]. 11045 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [hyper(255,a,10126,a(flip),b,11044,a)]. 11046 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [hyper(8070,a,11045,a)]. 11047 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(255,a,10973,a(flip),b,10888,a(flip)),flip(a)]. 11048 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(255,a,10968,a(flip),b,11047,a(flip)),flip(a)]. 11049 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(255,a,6917,a(flip),b,11048,a(flip)),flip(a)]. 11050 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(8070,a,11049,a)]. 11051 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(255,a,9924,a(flip),b,11050,a)]. 11052 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(59(a,1),11051(a,2,1))]. 11053 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(255,a,11046,a(flip),b,11052,a(flip)),flip(a)]. 11054 K(x * y,L(y,z,u)) * K(L(y,z,u),L(y,z,u) \ (x * L(y,z,u))) = a(L(y,z,u),L(y,z,u) \ (x * L(y,z,u)),L(y,z,u)). [para(11052(a,1),9158(a,1,1))]. 11055 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [hyper(255,a,10126,a,b,11053,a(flip)),flip(a)]. 11056 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [hyper(255,a,9922,a,b,11053,a(flip)),flip(a)]. 11057 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [hyper(255,a,9097,a(flip),b,11053,a(flip))]. 11058 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(255,a,9924,a,b,11056,a(flip)),flip(a)]. 11059 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = a(x,x \ u,L(x,y,z)). [hyper(255,a,10970,a(flip),b,10980,a)]. 11060 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),T(u,x)). [para(37(a,2),10980(a,2,2,2))]. 11061 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(6797,a,11027,a),flip(a)]. 11063 (x \ y) * K((x \ 1) \ (x \ y),y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(19(a,1),9879(a,1,2,2,1))]. 11064 x \ T(y,((x \ 1) \ (x \ y)) \ z) = x \ T(y,y \ z). [hyper(6984,a,11063,a),flip(a)]. 11065 K(x,y \ T(z,z \ x)) = K(x,y \ z). [para(11064(a,1),9022(a,1,2))]. 11066 K(x,y \ ((z \ x) \ x)) = K(x,y \ z). [para(128(a,1),11065(a,1,2,2))]. 11067 K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [hyper(255,a,6605,a(flip),b,11066,a(flip))]. 11068 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(4505(a,1),10193(a,1,2))]. 11069 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(255,a,5986,a(flip),b,11068,a)]. 11070 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(7432(a,1),11069(a,1,1,1,1))]. 11071 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(6457(a,1),11070(a,1,1))]. 11073 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(9612(a,1),11071(a,1,1))]. 11074 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(23,a,10801,a,b,10729,a),flip(a)]. 11075 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2815(a,1),11074(a,1,2,2))]. 11076 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(255,a,8154,a,b,11075,a)]. 11077 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(11075(a,1),8140(a,1,2)),flip(a)]. 11078 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(472(a,1),11076(a,1,2,2))]. 11080 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(5798(a,1),11078(a,1,2)),flip(a)]. 11083 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(8561,a,11080,a)]. 11084 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(8183,a,11080,a)]. 11085 K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). [para(7523(a,1),11080(a,1,2)),flip(a)]. 11087 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(21(a,1),11083(a,2,2,2))]. 11089 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(8136,a,11087,a)]. 11090 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(255,a,8463,a(flip),b,11089,a(flip)),flip(a)]. 11092 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(11090(a,1),9851(a,1,1))]. 11093 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(11090(a,1),10150(a,1,1))]. 11094 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(8154(a,1),11093(a,1,1))]. 11096 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(255,a,9314,a(flip),b,11094,a(flip)),flip(a)]. 11097 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(70(a,1),11096(a,1,2,2,2))]. 11098 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(8180,a,11092,a)]. 11099 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(70(a,1),11092(a,1,2)),flip(a)]. 11101 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(8099(a,1),11098(a,1,1))]. 11102 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(8138(a,1),11099(a,2,1))]. 11103 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(9853,a,11101,a)]. 11104 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [para(11102(a,1),73(a,1,1))]. 11105 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(255,a,5345,a,b,11104,a(flip)),flip(a)]. 11106 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(39,a,11105,a)]. 11107 a(K(x * y,K(z,u)),x,y) = 1. [para(18(a,1),11106(a,1,3))]. 11108 a(K(K(x,y),z),u,u \ z) = 1. [para(6092(a,2),11106(a,1,1))]. 11109 a(K(x,K(y,z * u)),z,u) = 1. [para(8099(a,1),11107(a,1,1))]. 11110 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(255,a,8178,a,b,11108,a)]. 11111 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(255,a,8105,a(flip),b,11077,a)]. 11112 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(255,a,9631,a(flip),b,11111,a(flip)),flip(a)]. 11113 K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). [para(7542(a,1),11085(a,1,2))]. 11114 T(x,K(y,z * (x \ 1))) = T(x,K(y,x \ z)). [hyper(7565,a,11112,a)]. 11117 T(x,K(y,z * (x \ 1))) = T(x,K(y,z)). [hyper(255,a,8387,a(flip),b,11114,a)]. 11118 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [para(5798(a,1),11117(a,1,2))]. 11119 T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(11118(a,1),5407(a,1,1))]. 11126 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(11097(a,1),11110(a,2,2))]. 11131 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(8138(a,2),11126(a,2,2))]. 11132 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(6092(a,1),11131(a,1,1))]. 11133 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [hyper(255,a,6673,a(flip),b,10828,a)]. 11134 ((x * (K(y,z) * R(z,u,w))) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(6807(a,1),11133(a,1,1,1))]. 11135 R((x * (K(y,z) * z)) / (x * K(y,z)),u,w) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(2143(a,2),11134(a,1,1))]. 11136 R((x * (y * K(z,y))) / (x * K(z,y)),u,w) * x = (x * (K(z,y) * R(y,u,w))) * K(y,z). [para(3141(a,1),11135(a,1,1,1,1,2))]. 11137 R((x * y) / x,z,u) * x = (x * (K(w,y) * R(y,z,u))) * K(y,w). [para(9515(a,1),11136(a,1,1,1))]. 11138 (x * (K(y,z) * R(z,u,w))) * K(z,y) = x * R(z,u,w). [hyper(807,a,11137,a),flip(a)]. 11140 (x * (R(y,z,u) * K(w,y))) * K(y,w) = x * R(y,z,u). [para(3146(a,2),11138(a,1,1,2))]. 11141 L(K(x,y),R(x,z,u),w) = K(x,y). [hyper(7085,a,11140,a)]. 11142 K(x,(y \ 1) * R(x,z,u)) = K(x,y \ R(x,z,u)). [hyper(255,a,7018,a(flip),b,11141,a(flip)),flip(a)]. 11143 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [hyper(255,a,8053,a,b,11142,a(flip)),flip(a)]. 11154 (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(3936(a,1),4987(a,1,1,2))]. 11155 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,z,K(y,y \ 1) * u). [para(4955(a,2),5100(a,1,1,1,2))]. 11156 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(8138(a,1),6866(a,1,2,2))]. 11157 x \ (R(x,y,x) * T(x * (R(x,y,x) \ K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(1307(a,1),6891(a,1,2,2,1))]. 11158 L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(9284(a,1),7253(a,1,1))]. 11159 K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). [hyper(7305,a,11158,a),flip(a)]. 11160 K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2374(a,1),11159(a,1,2,1,2))]. 11161 K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). [hyper(255,a,10845,a(flip),b,11160,a(flip)),flip(a)]. 11162 K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). [hyper(255,a,7268,a(flip),b,11161,a(flip))]. 11163 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). [para(5988(a,1),11162(a,1,2,1)),flip(a)]. 11164 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,x * y)). [para(8154(a,1),10399(a,2,2))]. 11165 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [hyper(5934,a,10794,a)]. 11166 (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(3936(a,1),11154(a,1,2))]. 11167 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(4994(a,1),11155(a,1,1))]. 11168 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x * y,T(x,z)) \ 1,K(x * y,x),y). [para(7539(a,2),11156(a,2,1,1))]. 11169 x \ (R(x,y,x) * T(x * (T(x,y) \ 1),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(6389(a,1),11157(a,1,2,2,1,2))]. 11170 x \ (R(x,y,x) * T(K(y,x),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(5184(a,2),11169(a,1,2,2,1))]. 11171 x \ (R(x,y,x) * K(y,T(x,z))) = (x \ R(x,y,x)) * T(K(y,x),z). [para(7539(a,2),11170(a,1,2,2))]. 11172 (x \ R(x,y,x)) * T(K(y,x),z) = R(x,y,x) * (x \ K(y,T(x,z))). [hyper(1316,a,11171,a),flip(a)]. 11173 (x \ R(x,y,x)) * T(K(y,x),z) = T(x,T(y,z)) \ R(x,y,x). [hyper(255,a,7785,a(flip),b,11172,a)]. 11174 K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). [hyper(255,a,8942,a(flip),b,11173,a(flip)),flip(a)]. 11175 T(x,T(y,z)) \ R(x,y,x) = K(y * x,T(x,z)). [hyper(8691,a,11174,a),flip(a)]. 11176 K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). [hyper(255,a,9165,a(flip),b,11175,a(flip)),flip(a)]. 11177 K(x / y,z) * a(z,y \ x,z) = K((y \ x) * z,T(z,y)). [para(8254(a,1),11176(a,1,1))]. 11178 K(x * y,T(y,z)) \ (K(x,T(y,z)) * y) = L(y,x,y). [para(11176(a,1),9370(a,1,1))]. 11179 K(x * y,T(y,z)) \ (y * K(x,T(y,z))) = L(y,x,y). [para(7613(a,1),11178(a,1,2))]. 11180 K(x,T(y * x,z)) * (x * K(y,T(x,z))) = L(x,y,x). [hyper(7600,a,11179,a)]. 11181 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,y,x). [hyper(5634,a,11180,a)]. 11182 L(x,T(y \ 1,z) \ 1,x) = L(x,y,x). [hyper(255,a,10664,a(flip),b,11181,a(flip)),flip(a)]. 11184 L(x,T(y,z) \ 1,x) = L(x,y \ 1,x). [hyper(255,a,10659,a(flip),b,11182,a(flip)),flip(a)]. 11185 L(x,(y / z) \ 1,x) = L(x,(z \ y) \ 1,x). [para(129(a,1),11184(a,1,2,1)),flip(a)]. 11186 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [hyper(255,a,11033,a(flip),b,11185,a)]. 11187 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(19(a,2),11186(a,1,2))]. 11188 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,y)). [para(8131(a,1),11164(a,2,2))]. 11189 K(x \ (y * (x * z)),y) * K(x,K(y,z)) = L(K(y * z,T(y,x)),z,x). [para(8187(a,1),11188(a,1,1)),flip(a)]. 11190 K(x \ (y * (x * z)),y) * K(x,K(y,z)) = K((x / (x * z)) \ y,y). [hyper(255,a,10537,a(flip),b,11189,a)]. 11191 K((x / (x * y)) \ z,z) = K(y * z,z) * K(x,K(z,y)). [para(11014(a,1),11190(a,1,1)),flip(a)]. 11192 K((x / (x * y)) \ z,z) = K(z * y,z) * K(x,K(z,y)). [para(5894(a,1),11191(a,2,1))]. 11194 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(255,a,8191,a(flip),b,11192,a)]. 11195 K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). [para(19(a,1),11194(a,1,1,1,2)),flip(a)]. 11196 K((x \ y) * z,T(z,x)) = K((x / y) \ z,z). [hyper(255,a,6408,a,b,11195,a(flip)),flip(a)]. 11197 K(x / y,z) * a(z,y \ x,z) = K((y / x) \ z,z). [hyper(255,a,11177,a,b,11196,a(flip)),flip(a)]. 11198 K(x,y / z) * K((z / y) \ x,x) = a(x,z \ y,x). [hyper(5622,a,11197,a)]. 11199 T(x,(y / z) \ x) \ T(x,z / y) = a(x,y \ z,x). [hyper(255,a,5865,a,b,11198,a(flip)),flip(a)]. 11200 T(x,(y / z) \ x) \ T(x,(y / z) \ 1) = a(x,y \ z,x). [para(4661(a,2),11199(a,1,2))]. 11201 T(x,(y / z) \ x) \ T(x,x \ ((y / z) \ x)) = a(x,y \ z,x). [para(4409(a,2),11200(a,1,2))]. 11202 T(x,(y / z) \ x) \ ((x \ ((y / z) \ x)) \ ((y / z) \ x)) = a(x,y \ z,x). [hyper(255,a,381,a(flip),b,11201,a(flip)),flip(a)]. 11203 a(x,(y / z) \ 1,x) = a(x,y \ z,x). [hyper(255,a,9194,a(flip),b,11202,a(flip)),flip(a)]. 11204 a(x,(y * z) \ z,x) = a(x,y \ 1,x). [para(20(a,1),11203(a,1,2,1)),flip(a)]. 11206 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [hyper(8657,a,11165,a)]. 11207 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(4997,a,11166,a)]. 11208 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(29(a,2),11167(a,1,1,1))]. 11209 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [hyper(6675,a,11208,a)]. 11211 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(255,a,5100,a,b,11209,a(flip)),flip(a)]. 11214 a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). [para(4990(a,1),11209(a,1,3))]. 11216 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(2247(a,1),11211(a,1,1,1,2,2))]. 11217 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x,T(x * y,z)),K(x * y,x),y). [para(7575(a,1),11168(a,2,1))]. 11218 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). [hyper(255,a,9204,a(flip),b,11217,a)]. 11221 K(x,T(y / z,y) \ y) \ (K(x,z) * K(y,K(u,y * K(x,z)))) = K(y,T(y * K(x,z),u)). [para(7224(a,2),11218(a,1,1))]. 11222 K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). [para(7996(a,1),11221(a,1,2,2))]. 11223 K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). [para(17(a,1),11222(a,1,2))]. 11224 K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). [hyper(5623,a,11223,a)]. 11225 K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). [para(7225(a,1),11224(a,1,1))]. 11226 K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). [hyper(255,a,8028,a(flip),b,11225,a)]. 11227 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(255,a,7360,a(flip),b,11226,a(flip)),flip(a)]. 11228 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(11227(a,1),6171(a,1,1,1,2))]. 11229 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(5252(a,2),11228(a,1,1,1))]. 11230 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(6800,a,11229,a)]. 11231 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(11230(a,1),10755(a,1,1))]. 11232 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10853(a,1),11231(a,1,1,2,2))]. 11233 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(4994(a,1),11207(a,1,1))]. 11234 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(29(a,2),11233(a,1,1,1))]. 11235 a(x,K(y,y \ 1) * z,u) = a(x,z,u). [hyper(6675,a,11234,a)]. 11238 a(x,(y \ 1) \ 1,z) = a(x,y,z). [para(1456(a,1),11235(a,1,2))]. 11239 a(x,y * K(z,z \ 1),u) = a(x,y,u). [para(2247(a,1),11235(a,1,2))]. 11240 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5557(a,1),5597(a,1,1))]. 11241 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(11240(a,1),9537(a,1,2,2))]. 11242 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1). [para(9765(a,1),6368(a,1,1))]. 11243 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u). [para(6366(a,1),11242(a,2,2))]. 11244 R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). [para(7910(a,1),11243(a,1,1,1))]. 11245 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [para(11244(a,1),70(a,1,2))]. 11247 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [hyper(255,a,9767,a(flip),b,11245,a(flip)),flip(a)]. 11248 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(6418(a,1),11247(a,1,1))]. 11249 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7539(a,2),11248(a,2,1))]. 11250 ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). [para(8598(a,1),11249(a,2,1))]. 11251 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(255,a,4907,a(flip),b,7179,a)]. 11252 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(255,a,1438,a(flip),b,11251,a)]. 11253 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(1439(a,1),11252(a,1,2))]. 11254 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(80,a,5144,a(flip),b,11253,a)]. 11255 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). [hyper(255,a,7628,a(flip),b,7232,a)]. 11256 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(279(a,1),11255(a,2,1,2))]. 11257 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1840(a,1),11256(a,1,2)),flip(a)]. 11258 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(255,a,7051,a(flip),b,11257,a(flip)),flip(a)]. 11259 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(255,a,7032,a(flip),b,11257,a(flip))]. 11260 (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(5220(a,1),9036(a,1,1))]. 11261 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(636,a,11260,a),flip(a)]. 11262 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(11260(a,1),636(a,1))]. 11263 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5536(a,1),11261(a,1,2)),flip(a)]. 11264 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(5600(a,1),9201(a,1,1,1))]. 11265 (K(x,T(y,z)) * K(y,T(u,z))) \ 1 = (K(y,u) * K(x,y)) \ K(K(y,u) * K(x,y),z * K(u,y)). [para(10299(a,1),9209(a,1,1))]. 11266 x / T((K(y,z) * K(u,y)) * x,K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. [para(16(a,1),9216(a,1,2,1,1))]. 11267 x / T(K(y,z) * (K(u,y) * x),K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. [para(10270(a,1),11266(a,1,2,1))]. 11268 T(x,L(T(T(y * z,z) / y,y * K(z,y * z)),u,w)) = T(x,L((y * z) / y,u,w)). [para(10833(a,1),9889(a,1,2,1,2))]. 11269 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(21(a,1),9966(a,2,1))]. 11270 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [hyper(255,a,6741,a(flip),b,11269,a),flip(a)]. 11279 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). [para(10289(a,1),10291(a,2,2,1,1))]. 11280 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5381(a,1),11279(a,2,2,1))]. 11282 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5381(a,1),11280(a,1,1,2,1))]. 11283 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(255,a,5620,a(flip),b,11282,a(flip)),flip(a)]. 11284 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). [para(11282(a,1),453(a,1,1,1)),flip(a)]. 11285 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). [para(11282(a,2),10198(a,1,1))]. 11287 R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(8100(a,1),11285(a,1,1,1,2,1))]. 11288 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(73(a,1),10633(a,2,2,2,1,1,2))]. 11289 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(73(a,1),11288(a,1,2))]. 11290 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(11289(a,1),10323(a,1,1))]. 11291 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(255,a,7193,a(flip),b,11290,a(flip)),flip(a)]. 11292 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(10784,a,11291,a),flip(a)]. 11293 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(127(a,1),11291(a,1,2,2)),flip(a)]. 11294 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(10171,a,11292,a),flip(a)]. 11295 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(255,a,9243,a(flip),b,11292,a(flip)),flip(a)]. 11296 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(11295(a,1),5252(a,2,2)),flip(a)]. 11297 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(19(a,1),11294(a,1,2,2,2)),flip(a)]. 11298 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(35(a,2),11297(a,2,2))]. 11300 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(10163,a,11298,a)]. 11301 K(x,R(y,x,z)) = K(x,y). [hyper(255,a,10914,a(flip),b,11298,a(flip))]. 11303 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(255,a,9615,a,b,11301,a(flip)),flip(a)]. 11304 K(R(x,y,z),y) = K(x,y). [hyper(255,a,9493,a,b,11301,a(flip)),flip(a)]. 11305 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(255,a,9861,a(flip),b,11301,a(flip)),flip(a)]. 11306 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(255,a,6377,a(flip),b,11301,a(flip)),flip(a)]. 11307 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(51(a,1),11301(a,1,2))]. 11310 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(255,a,11304,a,b,11304,a)]. 11315 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(11310(a,1),9496(a,1,2)),flip(a)]. 11317 K(x / (y * z),y) = K(y \ (x / z),y). [hyper(6509,a,11306,a)]. 11318 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(10784,a,11305,a)]. 11320 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(255,a,8722,a,b,11305,a(flip)),flip(a)]. 11321 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [hyper(255,a,11291,a(flip),b,11305,a(flip)),flip(a)]. 11322 T(x,R(y,x,z)) = T(x,y). [hyper(255,a,7445,a(flip),b,11315,a)]. 11324 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(481(a,1),11322(a,1,2))]. 11325 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(255,a,8881,a,b,11317,a(flip)),flip(a)]. 11326 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(11318(a,1),11296(a,1,2))]. 11327 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(18(a,1),11320(a,1,2,1)),flip(a)]. 11328 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(11325(a,1),7626(a,1,1))]. 11330 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(255,a,6384,a,b,11307,a(flip)),flip(a)]. 11331 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(11300(a,1),462(a,1,1))]. 11333 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(255,a,9244,a(flip),b,11321,a(flip))]. 11334 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7651,a,11328,a)]. 11335 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(255,a,9474,a(flip),b,11334,a(flip)),flip(a)]. 11336 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(11335(a,1),6670(a,1,1,2)),flip(a)]. 11337 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(255,a,11327,a(flip),b,11333,a(flip))]. 11338 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(11337(a,1),6392(a,1))]. 11339 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(5255,a,11326,a),flip(a)]. 11340 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(255,a,6670,a(flip),b,11336,a)]. 11341 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(7899,a,11340,a)]. 11342 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(70(a,1),11341(a,1,2,1,2)),flip(a)]. 11343 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(255,a,8662,a,b,11342,a(flip)),flip(a)]. 11344 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(11301(a,1),11330(a,1,1))]. 11346 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(255,a,7132,a(flip),b,11331,a(flip))]. 11347 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(5340(a,1),11346(a,2,1))]. 11348 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(255,a,9300,a(flip),b,11347,a(flip)),flip(a)]. 11350 L(x,K(y,z),z * y) = x. [hyper(749,a,11348,a)]. 11354 L(x,y * z,K(z,y)) = x. [hyper(10957,a,11350,a)]. 11357 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(255,a,10305,a(flip),b,11354,a(flip)),flip(a)]. 11358 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(255,a,7263,a(flip),b,11354,a(flip))]. 11366 L(x,y,T(z,y)) = L(x,y,z). [para(5266(a,1),11357(a,1,3)),flip(a)]. 11368 L(x,y \ z,(y \ z) \ z) = L(x,y \ z,y). [hyper(255,a,1978,a(flip),b,11366,a(flip)),flip(a)]. 11372 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [para(11358(a,2),70(a,1,2))]. 11374 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(255,a,47,a,b,11324,a(flip)),flip(a)]. 11375 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4887(a,1),11343(a,2,2))]. 11376 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(255,a,4463,a(flip),b,11374,a)]. 11377 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(255,a,8873,a(flip),b,11375,a)]. 11378 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(255,a,8535,a(flip),b,11377,a)]. 11379 K(x,x \ T(y,z)) = K(x,T(x \ y,z)). [hyper(255,a,10911,a(flip),b,11378,a(flip)),flip(a)]. 11381 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(255,a,10637,a,b,11379,a(flip)),flip(a)]. 11383 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(11381(a,1),5263(a,2,1)),flip(a)]. 11384 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(255,a,9596,a(flip),b,11383,a(flip))]. 11385 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(11384(a,2),6082(a,1,2))]. 11386 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(225,a,11385,a)]. 11387 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(11386(a,1),10549(a,1,1))]. 11388 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(11387(a,1),11270(a,1,1)),flip(a)]. 11389 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [hyper(255,a,9425,a(flip),b,11388,a)]. 11390 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [hyper(255,a,5433,a(flip),b,11389,a(flip))]. 11391 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(20(a,1),11390(a,2,1))]. 11392 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(37(a,2),11391(a,1,3))]. 11393 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(11392(a,1),5350(a,1,2))]. 11394 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [hyper(255,a,9964,a(flip),b,11393,a(flip))]. 11395 (K(x * y,z) * y) * T(x,y) != x * u | y * K(x * y,z) = u. [para(11394(a,2),24(a,1))]. 11396 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(255,a,47,a,b,11376,a)]. 11397 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(11339(a,1),11396(a,1,1))]. 11398 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(20(a,1),11397(a,1,1,2,2)),flip(a)]. 11399 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(6165,a,11398,a),flip(a)]. 11400 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(11398(a,1),5674(a,1,2,1))]. 11401 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(255,a,1069,a(flip),b,11399,a(flip)),flip(a)]. 11402 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(18(a,1),11399(a,1,1,2)),flip(a)]. 11403 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(564(a,1),11399(a,1,1)),flip(a)]. 11407 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5995(a,1),11401(a,2,1))]. 11409 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(11403(a,1),7271(a,1,2,1)),flip(a)]. 11410 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1306(a,1),11402(a,1,1)),flip(a)]. 11411 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(255,a,179,a(flip),b,11410,a)]. 11412 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(47(a,2),11411(a,2,1))]. 11413 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(255,a,545,a(flip),b,11412,a)]. 11414 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(11413(a,1),5196(a,1,1))]. 11415 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(5486,a,11414,a),flip(a)]. 11416 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(8070,a,11415,a)]. 11417 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(255,a,10136,a,b,11416,a)]. 11418 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(6459,a,11400,a),flip(a)]. 11421 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(11418(a,1),5169(a,1,1,2))]. 11422 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(255,a,7542,a(flip),b,11293,a)]. 11423 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(255,a,7155,a(flip),b,11407,a)]. 11424 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(7153(a,1),11423(a,1,1)),flip(a)]. 11425 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(11424(a,1),10073(a,1,2))]. 11426 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5986(a,1),11421(a,1,1))]. 11427 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(255,a,47,a,b,11426,a(flip)),flip(a)]. 11428 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(5169(a,1),11427(a,1,1)),flip(a)]. 11429 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(255,a,49,a(flip),b,11428,a)]. 11430 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(11429(a,1),1373(a,1,1,1)),flip(a)]. 11431 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(255,a,7935,a(flip),b,11422,a)]. 11432 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(7899,a,11431,a)]. 11433 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(255,a,10839,a(flip),b,11432,a(flip)),flip(a)]. 11435 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(255,a,9460,a(flip),b,11433,a(flip)),flip(a)]. 11436 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(255,a,8932,a(flip),b,11435,a(flip))]. 11446 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(60(a,1),11436(a,1,2,2))]. 11463 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(255,a,10979,a(flip),b,10947,a(flip)),flip(a)]. 11464 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(255,a,10969,a(flip),b,11463,a(flip)),flip(a)]. 11465 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(255,a,10999,a(flip),b,11464,a(flip)),flip(a)]. 11466 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(17(a,1),11465(a,1,2,2,1))]. 11467 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(255,a,6042,a(flip),b,11466,a)]. 11468 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(255,a,11061,a(flip),b,11467,a)]. 11469 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(17(a,1),11468(a,2,2,2,1))]. 11470 K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * (x \ y),T(1 / (x \ y),x)). [para(73(a,1),11041(a,2,1,2))]. 11471 K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * (x \ y),x / y). [hyper(255,a,8411,a(flip),b,11470,a)]. 11473 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(7587(a,1),11060(a,2,2))]. 11474 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (y \ 1))) \ u). [hyper(255,a,6043,a(flip),b,11163,a)]. 11475 (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). [para(4722(a,1),11250(a,1,1))]. 11476 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2532(a,1),11264(a,1,1,2)),flip(a)]. 11477 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(6687(a,1),11476(a,2,1))]. 11478 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(255,a,9257,a,b,11477,a)]. 11479 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2535(a,1),11478(a,1,1,1))]. 11480 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5600(a,1),11479(a,1,1))]. 11481 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(255,a,10315,a(flip),b,11480,a(flip))]. 11482 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(8195(a,1),11481(a,1,1)),flip(a)]. 11483 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(T(y,u),x) * 1). [hyper(255,a,10293,a(flip),b,11265,a(flip))]. 11484 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(4710(a,1),11425(a,1,2,1)),flip(a)]. 11485 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(70(a,1),11474(a,2,2,1,2))]. 11486 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(6580(a,1),11485(a,1,2,1,1,2,1))]. 11487 K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). [hyper(255,a,10855,a(flip),b,11486,a(flip))]. 11488 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). [para(8235(a,1),11475(a,1,1,2))]. 11489 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(9013,a,11488,a),flip(a)]. 11490 R(K(x,y),L(y,z,u),w) = K(x,y). [para(9050(a,1),11489(a,1,1))]. 11491 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(255,a,7214,a(flip),b,11490,a(flip)),flip(a)]. 11493 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(255,a,6864,a(flip),b,11491,a)]. 11494 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(255,a,10800,a,b,11493,a(flip)),flip(a)]. 11495 K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. [para(11494(a,1),8566(a,1))]. 11496 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(y,T(x,u)) * 1). [para(7542(a,1),11483(a,2,2,1))]. 11497 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * K(y,T(x,u)). [para(17(a,1),11496(a,2,2))]. 11498 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (K(x,x \ y) * T(y,z)). [para(5221(a,1),6968(a,2,2))]. 11499 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = K(y,z). [hyper(255,a,6627,a(flip),b,11498,a)]. 11501 L(K((x \ 1) \ (x \ y),z),y / x,x) = K(y,z). [hyper(255,a,4782,a(flip),b,11499,a(flip)),flip(a)]. 11502 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(6798,a,8964,a),flip(a)]. 11503 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). [para(5428(a,1),11502(a,1,2)),flip(a)]. 11504 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(1943(a,2),9178(a,1,2,2))]. 11505 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(20(a,1),10110(a,1,1,1)),flip(a)]. 11507 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(10296(a,1),11505(a,1,2,1)),flip(a)]. 11509 ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(11507(a,1),6199(a,1,2,2))]. 11510 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(5564(a,1),11509(a,1,2)),flip(a)]. 11511 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(255,a,5551,a(flip),b,11510,a)]. 11513 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(255,a,5608,a(flip),b,11511,a)]. 11515 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(6198(a,1),11513(a,1,2))]. 11517 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). [hyper(255,a,1373,a(flip),b,11430,a)]. 11518 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(47(a,2),11517(a,2,3))]. 11519 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(112(a,1),11504(a,1,2)),flip(a)]. 11520 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3862(a,2),4042(a,1,1))]. 11528 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1150(a,1),6291(a,2,1))]. 11529 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(255,a,11528,a(flip),b,6292,a(flip))]. 11530 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1150(a,1),11529(a,1,1)),flip(a)]. 11531 K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). [para(11530(a,1),11103(a,1,1,1,1))]. 11532 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5563(a,2),11531(a,1,1))]. 11533 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(8342,a,11532,a)]. 11534 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(255,a,11084,a(flip),b,11533,a(flip)),flip(a)]. 11535 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(21(a,1),11534(a,1,2,2)),flip(a)]. 11536 K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. [para(11535(a,1),8122(a,1))]. 11543 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(255,a,10174,a(flip),b,7383,a(flip))]. 11545 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(x,y) * (K(z,x) * u)) / (1 * (K(x,y) * K(z,x)))). [para(16(a,2),10276(a,2,2,2))]. 11546 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). [hyper(255,a,11001,a(flip),b,10789,a(flip))]. 11547 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). [hyper(255,a,11469,a(flip),b,11546,a)]. 11548 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(255,a,11036,a(flip),b,11547,a)]. 11550 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2663(a,1),11548(a,1,2))]. 11551 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(11550(a,1),6670(a,1,1,2)),flip(a)]. 11552 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(255,a,6670,a(flip),b,11551,a)]. 11553 T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11552(a,1),6916(a,1,1,2))]. 11554 T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11038(a,1),11553(a,1,1,2))]. 11555 T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(59(a,1),11554(a,1,1,2,1,2))]. 11556 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5984(a,1),11555(a,1,1))]. 11557 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(255,a,45,a,b,11556,a(flip)),flip(a)]. 11558 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5820(a,1),11557(a,1,1)),flip(a)]. 11559 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4626,a,11558,a)]. 11560 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(11559(a,1),428(a,1,2))]. 11561 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(11559(a,1),7483(a,1,2))]. 11562 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10768(a,1),11561(a,1))]. 11563 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(415,a,11560,a),flip(a)]. 11564 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(317,a,11563,a),flip(a)]. 11566 (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(11563(a,1),10631(a,1,1,2))]. 11567 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(255,a,5430,a,b,11564,a),flip(a)]. 11570 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). [para(11564(a,1),10234(a,1,2,2)),flip(a)]. 11571 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). [para(11417(a,1),11567(a,1,1,2))]. 11572 K(x * L(y,z,u),y) = K(y * x,y). [hyper(255,a,7676,a(flip),b,11570,a)]. 11574 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [hyper(255,a,9167,a,b,11572,a)]. 11575 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(255,a,11258,a(flip),b,11572,a(flip)),flip(a)]. 11576 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(255,a,8057,a(flip),b,11572,a(flip))]. 11578 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(255,a,11021,a(flip),b,11576,a(flip)),flip(a)]. 11579 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(8567,a,11578,a)]. 11581 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(255,a,5734,a(flip),b,11575,a)]. 11582 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(11495,a,11581,a)]. 11583 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(255,a,11259,a(flip),b,11581,a(flip)),flip(a)]. 11584 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(11581(a,1),9881(a,1,1,2))]. 11585 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(10250,a,11574,a)]. 11586 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(11585(a,2),10064(a,2,2))]. 11589 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(255,a,11019,a(flip),b,11583,a)]. 11590 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,v5,v6)). [para(11564(a,2),11586(a,1,2))]. 11591 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(112(a,1),11589(a,1,1,2))]. 11592 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(8697,a,11591,a)]. 11593 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [hyper(255,a,8909,a(flip),b,11591,a(flip)),flip(a)]. 11594 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [hyper(255,a,11057,a,b,11593,a(flip)),flip(a)]. 11596 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(255,a,11018,a(flip),b,11592,a)]. 11597 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(255,a,10001,a(flip),b,11596,a(flip)),flip(a)]. 11598 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(33(a,2),11597(a,2,1))]. 11599 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(11562,a,11598,a),flip(a)]. 11600 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(10942,a,11599,a)]. 11603 K(x,(y * ((y \ z) / u)) \ z) = K(x,L(u,y \ z,y)). [hyper(7306,a,11600,a)]. 11604 K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). [hyper(255,a,5381,a,b,11600,a),flip(a)]. 11605 K((x \ 1) \ (x \ y),L(z,y / x,x)) = K(y,z). [hyper(255,a,11501,a(flip),b,11600,a(flip))]. 11606 K(x,L(y,K(z,u),u * z)) = K(x,y). [hyper(255,a,11350,a(flip),b,11600,a(flip))]. 11607 K(x \ y,L(z,y,y \ 1)) = K(((y \ 1) * x) \ 1,z). [hyper(255,a,7031,a(flip),b,11600,a(flip))]. 11611 K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11600(a,1),1434(a,1,2,1))]. 11614 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). [para(11600(a,1),9938(a,1,2))]. 11615 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(11600(a,1),9941(a,1,2))]. 11616 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(11600(a,1),9943(a,1,1))]. 11617 K(x,L(y,z,u)) * a(u,z,K(x,y)) = K(x,y). [para(11600(a,1),9953(a,1,1))]. 11618 ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). [para(11600(a,1),9947(a,1,2))]. 11621 K(x,L(y,T(z,u),u)) = K(x,L(y,z,u)). [para(10958(a,1),11606(a,1,2))]. 11622 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(11604(a,1),5384(a,1))]. 11624 K(x,L(y,z / u,u)) = K(x,L(y,u \ z,u)). [para(129(a,1),11621(a,1,2,2)),flip(a)]. 11626 K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. [para(7006(a,2),11622(a,1))]. 11630 K(L(x,y,z),u) * a(z,y,K(x,u)) = K(x,u). [para(11614(a,1),5626(a,1,2))]. 11631 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(11614(a,1),5545(a,1,2)),flip(a)]. 11633 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [hyper(6674,a,11615,a)]. 11637 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(23,a,11617,a,b,11630,a)]. 11641 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(437(a,1),11637(a,1,1)),flip(a)]. 11642 (x / y) * K(z,L(y,u,w)) = x / T(y,L(z,u,w)). [para(11637(a,1),6718(a,1,2))]. 11644 K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). [para(11637(a,1),9956(a,1,1))]. 11647 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(255,a,9949,a(flip),b,11633,a(flip)),flip(a)]. 11649 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(11647(a,1),10089(a,2,2))]. 11656 K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). [para(437(a,1),11641(a,1,2))]. 11658 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(23,a,11616,a,b,11644,a),flip(a)]. 11659 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(19(a,1),11658(a,1,2,2))]. 11660 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(10941(a,1),11659(a,2,2))]. 11661 K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). [para(19(a,1),11656(a,1,2)),flip(a)]. 11662 K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). [para(19(a,1),11661(a,1,1)),flip(a)]. 11663 K(x,(y \ 1) \ (y \ L(z,x / y,y))) = K(x,z). [hyper(255,a,11605,a(flip),b,11662,a(flip))]. 11664 K(x,L((y \ 1) \ (y \ z),x / y,y)) = K(x,z). [para(1871(a,2),11663(a,1,2))]. 11665 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K(x,z). [hyper(255,a,11624,a(flip),b,11664,a(flip)),flip(a)]. 11666 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(255,a,9791,a(flip),b,11603,a(flip))]. 11667 K(x,(y \ 1) \ (y \ L(z,y \ x,(y \ x) \ 1))) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(255,a,11662,a(flip),b,11607,a(flip)),flip(a)]. 11672 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [hyper(255,a,11642,a(flip),b,11618,a(flip)),flip(a)]. 11673 (x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(4669(a,1),11672(a,1,1))]. 11674 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(11649(a,1),9722(a,2,2))]. 11677 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(255,a,11058,a(flip),b,11666,a(flip)),flip(a)]. 11680 L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). [hyper(255,a,10076,a(flip),b,11566,a(flip)),flip(a)]. 11683 a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). [para(21(a,1),11680(a,1,2)),flip(a)]. 11684 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(6129(a,1),11584(a,1,1,2)),flip(a)]. 11685 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(255,a,6663,a(flip),b,11684,a)]. 11686 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1419(a,1),11685(a,1,1))]. 11687 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(11686(a,1),10119(a,2,2))]. 11688 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(255,a,6712,a(flip),b,11687,a)]. 11689 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5986(a,1),11571(a,1,1))]. 11690 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5894(a,1),11689(a,1,1,1,2))]. 11691 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(255,a,47,a,b,11690,a(flip)),flip(a)]. 11692 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5820(a,1),11691(a,1,1)),flip(a)]. 11693 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(255,a,11564,a(flip),b,11692,a(flip)),flip(a)]. 11694 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(11692(a,1),11590(a,1,2))]. 11695 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(11693(a,1),461(a,1,1)),flip(a)]. 11696 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(255,a,122,a(flip),b,11695,a)]. 11697 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10543(a,1),11696(a,1,1,1)),flip(a)]. 11698 K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(5600(a,1),11611(a,1,2))]. 11699 K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11637(a,1),11698(a,1,2,1))]. 11700 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(5272(a,1),11699(a,1,2))]. 11701 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(11631(a,1),11700(a,1,2)),flip(a)]. 11702 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [hyper(255,a,11055,a(flip),b,11660,a(flip))]. 11703 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(11688(a,1),11674(a,1,2))]. 11704 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(255,a,7844,a(flip),b,11703,a(flip))]. 11705 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [para(11637(a,1),11704(a,2,1))]. 11706 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(255,a,11616,a(flip),b,11705,a)]. 11707 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(222,a,11706,a),flip(a)]. 11709 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(18(a,1),11707(a,1,3,1)),flip(a)]. 11710 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(5375(a,1),11707(a,1,3)),flip(a)]. 11711 a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). [para(5377(a,1),11707(a,1,3)),flip(a)]. 11712 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). [para(6009(a,1),11707(a,1,3))]. 11713 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(11709(a,2),10207(a,1,1))]. 11714 a(x,y,K(x * z,z)) = 1. [hyper(255,a,7426,a(flip),b,11710,a)]. 11715 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). [para(11710(a,1),11701(a,2,2,2))]. 11716 L(K(x * y,y),z,x) = K(x * y,y). [hyper(38,a,11714,a)]. 11717 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(11716(a,1),7561(a,2,1))]. 11718 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(10209,a,11713,a)]. 11719 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(19(a,1),11718(a,1,3,2)),flip(a)]. 11720 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [hyper(255,a,11711,a,b,11719,a(flip)),flip(a)]. 11721 a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). [para(5584(a,1),11720(a,1,3)),flip(a)]. 11722 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(255,a,11712,a,b,11721,a(flip)),flip(a)]. 11723 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(6707(a,1),11722(a,1,3))]. 11724 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(8654(a,1),11717(a,1,2,2))]. 11725 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [para(7559(a,1),11724(a,1,2)),flip(a)]. 11726 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(255,a,9810,a(flip),b,11725,a(flip))]. 11727 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(9808(a,1),11726(a,1,2)),flip(a)]. 11728 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(310,a,11727,a),flip(a)]. 11729 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [hyper(255,a,11594,a(flip),b,11702,a)]. 11730 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [hyper(11626,a,11729,a)]. 11731 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [hyper(255,a,11055,a(flip),b,11730,a(flip)),flip(a)]. 11732 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [hyper(255,a,11677,a(flip),b,11731,a(flip)),flip(a)]. 11733 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(37(a,2),11732(a,2,1,2))]. 11734 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(255,a,11016,a(flip),b,11733,a(flip)),flip(a)]. 11735 K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). [para(11734(a,1),5605(a,1,2,1)),flip(a)]. 11736 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11734(a,1),11231(a,1,1,2,2))]. 11737 K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). [hyper(255,a,5605,a(flip),b,11735,a)]. 11738 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(255,a,5554,a(flip),b,11715,a)]. 11739 K(x,L((y \ 1) \ (y \ z),y \ x,(y \ x) \ 1)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [para(1871(a,2),11667(a,1,2))]. 11740 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11737(a,1),11736(a,1,2,1,1))]. 11741 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(255,a,11231,a(flip),b,11740,a(flip))]. 11742 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R(R(1 / y,y,x) \ 1,z,u). [para(4543(a,1),4562(a,2,2,1,1))]. 11743 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R((1 / y) * R((1 / y) \ 1,z,u),y,x). [hyper(255,a,3802,a(flip),b,11742,a)]. 11744 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(1172(a,1),11743(a,2,1))]. 11745 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(4449(a,1),11744(a,1,1,2,1))]. 11746 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(4469(a,1),11745(a,1,1))]. 11747 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(7477(a,1),11746(a,1,1)),flip(a)]. 11748 R(x \ R(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). [para(4036(a,1),11747(a,1,1))]. 11749 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(9153(a,1),11748(a,1,1)),flip(a)]. 11750 R(a(x,y,x),x,z) = a(x,y,x). [hyper(10068,a,11749,a),flip(a)]. 11752 ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(255,a,458,a,b,11750,a(flip)),flip(a)]. 11753 (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(9161(a,1),11752(a,1,1,1))]. 11754 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(461(a,1),11753(a,1,1))]. 11755 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(11696(a,1),11754(a,1,1))]. 11756 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(11755(a,1),10083(a,1))]. 11757 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). [para(5911(a,1),5650(a,1,1,2,1)),flip(a)]. 11758 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). [para(5381(a,1),11757(a,2,1,2))]. 11760 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). [para(6672(a,1),11758(a,2,1))]. 11761 T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). [hyper(96,a,11760,a)]. 11762 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). [para(11761(a,1),3407(a,1,1,1)),flip(a)]. 11763 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(6343(a,1),11762(a,2,1))]. 11764 T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(6125(a,1),11763(a,1,2,2))]. 11765 T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(8492(a,1),11764(a,1,2))]. 11766 ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). [para(8523(a,1),11765(a,1,2)),flip(a)]. 11767 ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). [hyper(255,a,8633,a(flip),b,11766,a)]. 11769 K((T(x,y) \ ((x \ 1) \ K(z,x))) \ 1,((x \ K(x,z)) * T(x,y)) \ 1) = K(((x \ 1) \ K(z,x)) \ T(x,y),T(x,y) \ ((x \ 1) \ K(z,x))). [para(11767(a,1),6598(a,1,2,1))]. 11770 (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11767(a,2),7103(a,1,2,1))]. 11771 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (K(y,x) * (x \ 1)) * z. [para(6540(a,1),6438(a,2,1,1))]. 11772 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (T(x,y) \ 1) * z. [para(5209(a,1),11771(a,2,1))]. 11774 (x \ 1) * (R(K(y,x),x \ 1,z) * z) = (T(x,y) \ 1) * z. [para(6437(a,1),11772(a,1,2,1))]. 11775 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(10531(a,1),11774(a,1,2,1))]. 11776 T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). [para(11775(a,1),6543(a,1,2))]. 11778 L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). [hyper(255,a,4739,a(flip),b,11776,a(flip)),flip(a)]. 11780 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). [hyper(255,a,4806,a(flip),b,11778,a(flip)),flip(a)]. 11784 K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [para(11780(a,1),11067(a,1,2,1))]. 11785 K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(255,a,6605,a(flip),b,11784,a(flip))]. 11787 K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(255,a,11487,a(flip),b,11785,a(flip)),flip(a)]. 11788 K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). [hyper(255,a,11446,a(flip),b,11787,a(flip))]. 11789 K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). [hyper(255,a,7073,a(flip),b,11788,a(flip))]. 11790 L(K(x,y),z,z \ 1) = L(K(x,y),z,z \ x). [hyper(9588,a,11789,a),flip(a)]. 11791 L(K(x,y),z,z \ x) = K(x,L(y,z,z \ 1)). [hyper(11622,a,11790,a),flip(a)]. 11792 K(x,L(y,z,z \ 1)) = K(x,L(y,z,z \ x)). [hyper(11622,a,11791,a),flip(a)]. 11793 K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)). [para(11368(a,1),11792(a,2,2))]. 11794 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(255,a,11739,a(flip),b,11793,a(flip))]. 11795 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [hyper(255,a,11665,a(flip),b,11794,a(flip))]. 11798 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [hyper(255,a,5768,a(flip),b,11795,a(flip)),flip(a)]. 11801 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(11798(a,1),7361(a,2,1))]. 11802 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(255,a,5190,a(flip),b,11801,a)]. 11804 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(10485(a,1),11802(a,2,2))]. 11805 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(7058(a,1),11804(a,1,1))]. 11806 (L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4861(a,1),7352(a,1,2))]. 11807 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(5141(a,1),11806(a,1,2))]. 11808 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(255,a,11254,a(flip),b,11807,a(flip))]. 11810 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(162(a,1),11808(a,1,2,2,1))]. 11811 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(11810(a,1),4311(a,1,2))]. 11812 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(11811(a,1),8093(a,2,1))]. 11813 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(L(T(x,K(z,u)),K(z,u),K(y,z)),K(y,z)). [para(179(a,1),8732(a,1,1)),flip(a)]. 11814 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)). [para(10278(a,1),11813(a,2,1))]. 11815 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)). [hyper(255,a,8193,a,b,11814,a)]. 11817 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [hyper(255,a,9127,a(flip),b,11815,a(flip))]. 11818 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [hyper(8205,a,11817,a)]. 11820 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [para(2075(a,2),11817(a,2,2))]. 11821 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(11817(a,1),9909(a,1,1))]. 11822 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(2075(a,2),11818(a,2,2))]. 11823 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(5829,a,11820,a)]. 11824 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(255,a,11482,a,b,11820,a(flip)),flip(a)]. 11825 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(255,a,9630,a,b,11820,a(flip)),flip(a)]. 11826 T(K(x,y) * z,K(x,u) * K(y,x)) = T(z * K(x,y),K(x,u)). [hyper(255,a,6870,a(flip),b,11820,a(flip))]. 11827 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). [para(9490(a,1),11822(a,1,1,2)),flip(a)]. 11828 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(11822(a,1),10331(a,2,1))]. 11829 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(255,a,11820,a(flip),b,11823,a(flip))]. 11830 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(5353,a,11829,a)]. 11832 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2075(a,2),11824(a,1,2,1))]. 11833 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(22,a,11824,a,b,11830,a),flip(a)]. 11834 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(11830(a,1),5255(a,1))]. 11835 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(2075(a,2),11833(a,1,1))]. 11836 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(2075(a,1),11835(a,2,2))]. 11837 K(K(x,y) * K(z,x),u) / (K(y,x) * K(x,z)) = 1 / T(K(y,x) * K(x,z),u). [hyper(81,a,11836,a,b,5183,a(flip))]. 11838 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(22,a,5252,a(flip),b,11832,a)]. 11839 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(255,a,11836,a(flip),b,11838,a(flip))]. 11840 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(11838(a,1),5252(a,2,2)),flip(a)]. 11841 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(11820(a,2),11834(a,1))]. 11843 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(5281,a,11821,a),flip(a)]. 11845 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(255,a,11833,a(flip),b,11843,a)]. 11846 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). [para(6375(a,1),11843(a,1,2,2)),flip(a)]. 11847 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(255,a,11838,a,b,11845,a)]. 11848 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(255,a,11132,a,b,11845,a(flip))]. 11849 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [hyper(255,a,10117,a,b,11845,a(flip)),flip(a)]. 11850 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)). [para(8154(a,1),11845(a,1,1))]. 11851 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(8428(a,1),11845(a,1,1))]. 11852 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)). [hyper(255,a,11839,a(flip),b,11850,a)]. 11853 x / T((K(y,z) * x) * K(z,u),K(z,y)) = ((1 * (K(z,u) * K(y,z))) * x) \ x. [para(11826(a,1),11267(a,1,2))]. 11854 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(255,a,11818,a(flip),b,11825,a(flip))]. 11855 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(255,a,5177,a,b,11828,a)]. 11856 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5600(a,1),11855(a,1,2))]. 11857 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(255,a,11109,a(flip),b,11848,a)]. 11858 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [para(2075(a,1),11857(a,1,2))]. 11859 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(18(a,1),11858(a,1,2,2,2,3))]. 11860 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(11834,a,11854,a)]. 11861 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(255,a,5252,a(flip),b,11860,a),flip(a)]. 11862 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). [para(9629(a,1),11827(a,2,1))]. 11863 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(5448,a,11840,a)]. 11864 (x * (K(y,z) * K(z,u))) / x = T(K(z,u) * K(y,z),x). [para(2075(a,1),11863(a,1,1,2))]. 11865 T(K(x,y) * K(z,x),u) * u = u * (K(z,x) * K(x,y)). [para(11864(a,1),21(a,1,1))]. 11867 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(22,a,5252,a(flip),b,11861,a),flip(a)]. 11868 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(255,a,11823,a(flip),b,11862,a)]. 11869 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(9490(a,1),11868(a,1,2,2))]. 11870 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(255,a,11829,a,b,11869,a),flip(a)]. 11871 K(K(x,y) * K(z,x),u) * (K(z,x) * K(x,y)) = 1 / T(K(y,x) * K(x,z),u). [hyper(255,a,9214,a(flip),b,11837,a(flip)),flip(a)]. 11872 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). [para(8134(a,1),11849(a,1,2,2,2))]. 11873 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8428(a,1),11851(a,1,2)),flip(a)]. 11874 K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. [para(11873(a,1),8008(a,1))]. 11876 K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. [para(11843(a,1),11874(a,1))]. 11877 K(K(x,y) * K(z,x),u) != w | K(u,K(x,y) * K(z,x)) = w. [para(11847(a,1),11874(a,1))]. 11878 K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w. [para(11856(a,2),11877(a,1))]. 11879 x / T(K(y,z) * (x * K(z,u)),K(z,y)) = ((1 * (K(z,u) * K(y,z))) * x) \ x. [para(7465(a,1),11853(a,1,2,1))]. 11880 K(K(x,y),K(y,z)) * T(K(y,z) * K(x,y),u) = 1 / T(K(z,y) * K(y,x),u). [hyper(255,a,6958,a(flip),b,11871,a(flip)),flip(a)]. 11881 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(5869,a,11872,a)]. 11882 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(8134(a,1),11881(a,1,1))]. 11883 ((1 * (K(x,y) * K(z,x))) * u) \ u = u / ((u * K(x,y)) * K(z,x)). [para(8197(a,1),11879(a,1,2)),flip(a)]. 11884 ((1 * (K(x,y) * K(z,x))) * u) \ u = u / (u * (K(z,x) * K(x,y))). [para(9128(a,1),11883(a,2,2))]. 11885 x / (x * (K(y,z) * K(z,u))) = ((K(z,u) * K(y,z)) * x) \ x. [para(16(a,1),11884(a,1,1,1)),flip(a)]. 11886 x / (x * (K(y,z) * K(z,u))) = (K(z,u) * (K(y,z) * x)) \ x. [para(10270(a,1),11885(a,2,1))]. 11887 1 / T(K(x,y) * K(y,z),u) = 1 * T(K(y,x) * K(z,y),u). [para(2073(a,1),11880(a,1,1)),flip(a)]. 11888 1 / T(K(x,y) * K(y,z),u) = T(K(y,x) * K(z,y),u). [hyper(255,a,16,a(flip),b,11887,a)]. 11890 T(K(x,y) * K(z,x),u) \ 1 = T(K(y,x) * K(x,z),u). [para(11888(a,1),73(a,1,1))]. 11891 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))). [para(9317(a,1),11846(a,2,2))]. 11892 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(255,a,11843,a(flip),b,11891,a)]. 11893 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(6375(a,1),11892(a,1,1,2))]. 11894 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(11073(a,1),9614(a,1,1,2))]. 11895 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(8096(a,1),11894(a,1,1))]. 11896 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(47(a,2),11895(a,1,2))]. 11897 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(204(a,1),11896(a,1,2,1))]. 11898 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(255,a,9617,a(flip),b,11897,a(flip)),flip(a)]. 11899 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(255,a,10285,a(flip),b,11898,a(flip)),flip(a)]. 11901 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(255,a,9817,a(flip),b,11899,a(flip))]. 11902 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(7743(a,1),11901(a,2,2))]. 11903 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(255,a,4644,a(flip),b,11902,a)]. 11904 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(9613(a,1),11903(a,1,1,1))]. 11905 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(11073(a,1),11904(a,1,1)),flip(a)]. 11906 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(11905(a,1),5593(a,1))]. 11907 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). [para(9739(a,1),9742(a,1,2,1,1)),flip(a)]. 11908 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w). [hyper(255,a,3818,a(flip),b,11907,a)]. 11910 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1150(a,1),11908(a,2,1))]. 11911 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1150(a,1),11910(a,1,1))]. 11912 a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)). [para(11911(a,1),11615(a,1,2,2))]. 11913 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(18(a,1),11503(a,2,1,1))]. 11914 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(255,a,9757,a(flip),b,11913,a)]. 11916 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(18(a,1),11914(a,1,1,1))]. 11917 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(18(a,1),11916(a,1,2,2))]. 11918 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(6475(a,1),11917(a,1,2,1,3))]. 11919 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(7376(a,1),7377(a,2,2,1,1))]. 11920 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(73(a,1),11919(a,2,2,1))]. 11922 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(255,a,4034,a(flip),b,11920,a)]. 11923 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(73(a,1),11922(a,1,1,2,1))]. 11924 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(4034(a,1),11923(a,1,1))]. 11925 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(6861,a,11924,a)]. 11926 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(11925(a,1),11520(a,1,1,1))]. 11927 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(255,a,704,a(flip),b,11926,a(flip)),flip(a)]. 11928 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(122(a,1),11927(a,1,1,2))]. 11929 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(29(a,2),11928(a,1,1)),flip(a)]. 11930 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(255,a,10628,a(flip),b,11929,a),flip(a)]. 11931 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(29(a,2),11930(a,2,1,1)),flip(a)]. 11933 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). [hyper(255,a,7319,a(flip),b,9621,a(flip))]. 11935 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). [hyper(255,a,3867,a(flip),b,11933,a)]. 11936 T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). [para(2245(a,1),11935(a,1,2,1)),flip(a)]. 11938 (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). [para(5600(a,1),10179(a,1,1,2))]. 11939 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(255,a,10266,a(flip),b,10306,a(flip)),flip(a)]. 11940 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(11262,a,11939,a)]. 11943 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(10244(a,1),11940(a,2,2,2))]. 11944 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(19(a,1),11943(a,2,2,2,1))]. 11945 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(18(a,1),11944(a,2,2))]. 11947 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(255,a,10252,a(flip),b,11945,a)]. 11948 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(255,a,11263,a(flip),b,11947,a(flip))]. 11949 a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(11947(a,1),4788(a,1))]. 11951 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10844(a,1),11232(a,1,2,1,1))]. 11952 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(10280(a,2),11545(a,2,2,1))]. 11954 ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). [para(7091(a,1),11938(a,1,1))]. 11955 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(255,a,11231,a(flip),b,11951,a(flip))]. 11956 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(9486,a,11955,a),flip(a)]. 11957 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(9340,a,11956,a)]. 11958 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(8719,a,11957,a),flip(a)]. 11959 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(11958(a,1),10908(a,1,1))]. 11960 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(255,a,10907,a(flip),b,11959,a(flip)),flip(a)]. 11961 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(11338,a,11960,a),flip(a)]. 11962 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(255,a,7384,a(flip),b,11961,a(flip))]. 11963 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(35(a,2),11962(a,1,2,1)),flip(a)]. 11964 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(478(a,1),11963(a,2,2,1))]. 11965 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(5584(a,1),11963(a,1,1)),flip(a)]. 11966 K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). [para(5890(a,1),11963(a,1,1)),flip(a)]. 11967 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(11409(a,1),11963(a,1,1))]. 11968 K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). [hyper(255,a,5817,a,b,11966,a(flip)),flip(a)]. 11970 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(11965(a,1),11967(a,1,1)),flip(a)]. 11971 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(5817(a,1),11964(a,1,1))]. 11972 T(K(x,y) * K(z,x),u) * u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(16(a,2),11952(a,2,1))]. 11973 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(4497(a,1),4421(a,1,1,2)),flip(a)]. 11974 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(255,a,1803,a(flip),b,11973,a)]. 11975 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(4417(a,1),11974(a,1,3))]. 11976 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(11975(a,1),6453(a,1,1,1))]. 11977 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(11975(a,1),11976(a,1,2))]. 11978 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(286,a,11977,a)]. 11979 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(255,a,4953,a(flip),b,11978,a(flip)),flip(a)]. 11980 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(11979(a,1),169(a,1,2))]. 11981 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(73(a,1),4427(a,1,1,2))]. 11982 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(45(a,2),11981(a,1,1))]. 11983 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(3053(a,1),11982(a,1,1))]. 11984 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(73(a,1),11983(a,1,2,2,2))]. 11985 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(45(a,2),11984(a,1,2,2))]. 11986 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(3053(a,1),11985(a,1,2,2))]. 11987 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(18(a,1),11986(a,1,2))]. 11989 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(11987(a,1),10813(a,1,1)),flip(a)]. 11990 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [para(11989(a,1),73(a,1,1))]. 11991 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(255,a,3062,a(flip),b,11990,a(flip)),flip(a)]. 11993 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u * K(y,x))). [para(6673(a,1),9138(a,2,2,2))]. 11995 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))). [para(6740(a,1),9716(a,1,1)),flip(a)]. 11996 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = K(x,L(y,u,w)) * (x * K(y,z)). [hyper(255,a,5677,a(flip),b,11995,a)]. 11998 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = T(x,L(y,u,w)) * K(y,z). [hyper(255,a,5272,a(flip),b,11996,a)]. 11999 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(6740(a,1),11998(a,1,2))]. 12000 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(255,a,7977,a(flip),b,11999,a(flip)),flip(a)]. 12002 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(255,a,11631,a(flip),b,12000,a)]. 12003 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(12002(a,1),5295(a,1,1))]. 12004 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(12002(a,1),5434(a,1,1))]. 12006 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(255,a,8147,a(flip),b,11241,a(flip))]. 12007 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(8136,a,12006,a)]. 12009 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(8915(a,1),12007(a,1,2))]. 12010 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,9528,a(flip),b,12009,a(flip)),flip(a)]. 12011 R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(9313(a,1),11287(a,1,1,1,2))]. 12018 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ (K(x,y) * (K(z,x) * (u * K(y,x)))). [para(10270(a,1),11993(a,2,2))]. 12028 R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). [para(11882(a,1),12011(a,1,1,1))]. 12029 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ T(K(z,x) * u,K(x,y)). [para(8745(a,1),12018(a,2,2))]. 12030 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(K(z,x),u) * K(K(z,x) * u,K(x,y)). [hyper(255,a,7126,a(flip),b,12029,a)]. 12031 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(K(z,x) * u,K(x,y)). [para(8153(a,1),12030(a,2,1))]. 12032 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(u,K(x,y)). [para(8426(a,1),12031(a,2,2))]. 12033 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [hyper(255,a,11852,a(flip),b,12032,a)]. 12035 K(K(x,y) * K(z,x),R(u * K(y,x),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [para(6673(a,1),12033(a,1,2,1))]. 12036 K(K(x,y) * K(z,x),u * K(y,x)) = K(u,K(z,x) * K(x,y)). [para(9131(a,1),12035(a,1,2))]. 12038 (K(x,y) * K(z,x)) \ K(u,K(z,x) * K(x,y)) = K(x,T(z,u)) * K(y,T(x,u)). [para(12036(a,1),11497(a,1,2))]. 12039 K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)) = K(x * (T(x,y) \ z),T(x,y) / z). [hyper(255,a,11471,a(flip),b,9081,a(flip))]. 12040 K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)) = K(K(y,x) * z,T(x,y) / z). [para(5225(a,1),12039(a,2,1))]. 12041 K((1 / (T(x,y) \ z)) \ x,(T(x,y) \ z) \ 1) = K(K(y,x) * z,T(x,y) / z). [hyper(5580,a,12040,a)]. 12042 K(x * (T(x,y) \ z),(T(x,y) \ z) \ 1) = K(K(y,x) * z,T(x,y) / z). [hyper(255,a,6286,a(flip),b,12041,a(flip)),flip(a)]. 12043 K(K(x,y) * z,(T(y,x) \ z) \ 1) = K(K(x,y) * z,T(y,x) / z). [para(5225(a,1),12042(a,1,1))]. 12044 K(K(x,y) * z,T(y,x) / z) = K(K(x,y) * z,z \ T(y,x)). [hyper(6817,a,12043,a),flip(a)]. 12045 K((T(x,y) / z) \ x,T(x,y) / z) = K(K(y,x) * z,z \ T(x,y)). [hyper(255,a,10946,a,b,12044,a(flip)),flip(a)]. 12046 K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K(K(y,x) * z,z \ T(x,y)). [hyper(255,a,8887,a,b,12045,a(flip)),flip(a)]. 12047 (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9367(a,1),9221(a,1,1,2))]. 12048 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9219(a,1),12047(a,1,2,1))]. 12049 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(4036(a,1),12048(a,1,2,2))]. 12050 R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(3653(a,1),12049(a,1,2)),flip(a)]. 12052 R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(9219(a,1),12050(a,1,2,1))]. 12054 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(9367(a,1),12052(a,1,2)),flip(a)]. 12055 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(9219(a,1),12054(a,2,3))]. 12056 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [hyper(255,a,10081,a(flip),b,12055,a)]. 12058 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(10647(a,2),12056(a,1,1,2))]. 12059 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(9212,a,12058,a)]. 12060 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [para(7542(a,1),12059(a,1,2))]. 12061 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(12060(a,1),6663(a,1,1)),flip(a)]. 12062 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(255,a,5131,a(flip),b,12061,a)]. 12063 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(1450(a,1),10435(a,1,1))]. 12064 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(255,a,8741,a(flip),b,12063,a)]. 12066 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [para(12064(a,1),19(a,1,2))]. 12067 (K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(12066(a,1),11954(a,1,1))]. 12068 (K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(10178(a,1),12067(a,1,2))]. 12069 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(962,a,12068,a)]. 12070 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(255,a,5600,a(flip),b,12069,a)]. 12071 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). [hyper(255,a,9040,a,b,12070,a(flip)),flip(a)]. 12072 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3225,a,12071,a),flip(a)]. 12073 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(9334,a,12072,a),flip(a)]. 12075 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(9329,a,12073,a),flip(a)]. 12077 K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). [para(12075(a,1),10588(a,1,1))]. 12078 T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). [hyper(5565,a,12077,a)]. 12079 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10543(a,1),12077(a,1,2,2))]. 12080 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(12078(a,1),10253(a,1))]. 12081 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10257(a,1),12079(a,1,2))]. 12082 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5612,a,12081,a)]. 12083 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(12080,a,12082,a)]. 12085 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(12083(a,1),10823(a,1,1)),flip(a)]. 12086 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(12085(a,1),11931(a,1,1))]. 12088 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(255,a,11931,a(flip),b,12086,a(flip))]. 12089 (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [hyper(255,a,9513,a,b,12088,a),flip(a)]. 12090 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(7197(a,1),12089(a,1,1,2))]. 12091 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(569(a,1),12090(a,1,1))]. 12092 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(184(a,1),12091(a,1,2)),flip(a)]. 12093 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). [hyper(255,a,1373,a(flip),b,12092,a)]. 12094 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(47(a,2),12093(a,2,3))]. 12095 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(255,a,12088,a(flip),b,12094,a(flip)),flip(a)]. 12096 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(255,a,12083,a(flip),b,12095,a(flip)),flip(a)]. 12098 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(255,a,11948,a(flip),b,12096,a(flip))]. 12100 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [hyper(255,a,11518,a,b,12098,a(flip)),flip(a)]. 12101 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(9753,a,12100,a)]. 12103 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(12101(a,1),11484(a,1,2)),flip(a)]. 12104 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(37(a,2),12103(a,2,2,2))]. 12105 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(10357(a,1),12104(a,2,2))]. 12106 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(255,a,11694,a(flip),b,12105,a(flip)),flip(a)]. 12107 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(319(a,1),12106(a,1,2,3))]. 12108 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(10030,a,12107,a)]. 12109 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(11756,a,12108,a)]. 12110 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(255,a,12101,a(flip),b,12108,a(flip))]. 12111 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(19(a,1),12109(a,1,2)),flip(a)]. 12112 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(12111(a,1),10255(a,1,2)),flip(a)]. 12113 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12111(a,1),10267(a,1,2)),flip(a)]. 12114 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [hyper(255,a,10543,a(flip),b,12112,a(flip))]. 12115 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(12110(a,1),10359(a,1,1))]. 12116 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(255,a,10349,a(flip),b,12115,a(flip)),flip(a)]. 12117 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(10562(a,1),12114(a,1,2,1)),flip(a)]. 12118 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(255,a,12113,a,b,12117,a)]. 12120 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(12118(a,1),11697(a,2,1,1))]. 12121 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. [hyper(255,a,461,a(flip),b,10706,a)]. 12122 (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [hyper(255,a,1902,a(flip),b,12121,a(flip)),flip(a)]. 12123 (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5606(a,1),12122(a,1,1,2,1))]. 12124 (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(6029(a,1),12123(a,1,1,2,1))]. 12125 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(8270(a,1),12124(a,1,1,2,1)),flip(a)]. 12126 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(255,a,4616,a(flip),b,12125,a(flip))]. 12128 (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). [para(12126(a,1),1320(a,2,1,2)),flip(a)]. 12129 (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). [para(5600(a,1),12128(a,1,1))]. 12130 (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). [para(10303(a,1),12129(a,1,1))]. 12131 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(303,a,12130,a)]. 12134 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(255,a,6372,a(flip),b,12131,a(flip)),flip(a)]. 12135 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(255,a,7623,a(flip),b,12134,a)]. 12136 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(255,a,8055,a(flip),b,12135,a(flip))]. 12138 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(255,a,11143,a(flip),b,12136,a)]. 12139 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(9348,a,12138,a)]. 12141 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). [para(9127(a,1),9133(a,1,1,2,1,1)),flip(a)]. 12142 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(18(a,1),12141(a,2,1,2,1))]. 12144 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(9127(a,1),12142(a,1,1)),flip(a)]. 12145 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2078(a,1),12144(a,2,2))]. 12146 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(255,a,9869,a,b,12145,a(flip)),flip(a)]. 12148 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(304,a,12146,a)]. 12153 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8100(a,1),11119(a,1,2,1,2))]. 12154 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8439(a,1),12153(a,1,2,1,2))]. 12155 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8143(a,1),12154(a,1,2,1,2))]. 12156 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8278(a,1),12155(a,1,2,1,2))]. 12157 T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(5333(a,1),12156(a,1,2,1))]. 12158 K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [hyper(255,a,5594,a,b,12157,a(flip)),flip(a)]. 12159 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). [para(8459(a,1),12158(a,1,1)),flip(a)]. 12160 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(1601(a,1),12159(a,2,2))]. 12161 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(255,a,8179,a(flip),b,12160,a)]. 12162 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). [para(18(a,1),7121(a,1,1,1)),flip(a)]. 12163 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)). [hyper(255,a,7544,a(flip),b,12162,a)]. 12165 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(255,a,9456,a(flip),b,12163,a)]. 12166 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [hyper(7899,a,12165,a)]. 12167 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(255,a,9485,a(flip),b,12166,a(flip)),flip(a)]. 12168 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(9462,a,12167,a)]. 12169 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(9342,a,12168,a),flip(a)]. 12171 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(255,a,10322,a(flip),b,12169,a(flip)),flip(a)]. 12172 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(6902,a,12171,a),flip(a)]. 12173 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(255,a,9305,a,b,12172,a(flip)),flip(a)]. 12174 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(255,a,11543,a,b,12173,a(flip)),flip(a)]. 12175 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). [para(35(a,2),12174(a,2,2,1))]. 12176 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(255,a,9568,a(flip),b,12175,a(flip))]. 12178 K(x,y) * (((z * x) / z) * L(u,T(K(x,y),(z * x) / z),(z * x) / z)) = ((z * x) / z) * (K(x,y) * u). [para(3336(a,1),7645(a,2,2,1))]. 12179 K(x,y) * (((z * x) / z) * L(u,K(x,y),(z * x) / z)) = ((z * x) / z) * (K(x,y) * u). [para(3336(a,1),12178(a,1,2,2,2))]. 12182 K(x,y) * (((z * x) / z) * u) = ((z * x) / z) * (K(x,y) * u). [para(7667(a,1),12179(a,1,2,2))]. 12183 ((x * y) / x) * (K(y,z) * u) = T(y,z) * (K(x,y) * u). [hyper(5937,a,12182,a),flip(a)]. 12185 K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5600(a,1),9981(a,1,1,1))]. 12186 K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(11282(a,1),12185(a,1,1))]. 12187 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(255,a,6610,a(flip),b,12186,a(flip)),flip(a)]. 12189 K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(255,a,11893,a(flip),b,12187,a(flip)),flip(a)]. 12190 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). [hyper(11878,a,12189,a),flip(a)]. 12191 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). [hyper(255,a,11867,a(flip),b,12190,a)]. 12192 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(255,a,11859,a(flip),b,12191,a)]. 12194 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(255,a,6610,a(flip),b,12192,a(flip)),flip(a)]. 12195 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(12194(a,1),5411(a,1,1))]. 12196 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(11283(a,1),12195(a,1,2))]. 12197 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(83,a,12196,a)]. 12198 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(8153(a,1),12196(a,1,2,1))]. 12199 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5622,a,12197,a)]. 12200 R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). [hyper(2083,a,12197,a)]. 12201 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6358(a,1),12197(a,1,2))]. 12202 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(9562(a,1),12197(a,1,2))]. 12203 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(12197(a,1),10198(a,1,1)),flip(a)]. 12205 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(12197(a,1),11870(a,2,2))]. 12206 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(12197(a,1),11893(a,1,1)),flip(a)]. 12207 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(12197(a,1),12148(a,1,1,2))]. 12208 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). [para(12199(a,1),10520(a,1,1)),flip(a)]. 12209 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [para(12200(a,1),9998(a,2,2))]. 12210 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(5622,a,12203,a)]. 12211 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(11876,a,12206,a)]. 12214 K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. [para(12206(a,1),11876(a,1))]. 12215 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(12197(a,1),12207(a,1,2))]. 12217 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(80,a,128,a(flip),b,12215,a)]. 12218 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(255,a,10018,a(flip),b,12210,a(flip)),flip(a)]. 12219 R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). [para(12211(a,1),12028(a,1,1,1))]. 12220 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(9314(a,1),12198(a,1,2,2))]. 12221 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(11882(a,1),12220(a,1,2))]. 12222 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(9427(a,1),12218(a,1,2))]. 12223 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(5634,a,12222,a)]. 12224 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(255,a,9991,a,b,12223,a)]. 12225 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(255,a,12209,a(flip),b,12208,a)]. 12226 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(336(a,1),12219(a,1,1)),flip(a)]. 12227 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(255,a,9429,a(flip),b,12226,a)]. 12228 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(8100(a,1),12227(a,1,2,1,1))]. 12229 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(9313(a,1),12228(a,1,2,1))]. 12230 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(5263(a,2),12229(a,1,2))]. 12231 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(255,a,9632,a,b,12230,a(flip)),flip(a)]. 12232 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(8141(a,1),12231(a,1,1))]. 12233 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(11841,a,12232,a)]. 12234 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(255,a,12205,a(flip),b,12233,a(flip))]. 12235 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(22,a,5252,a(flip),b,12234,a)]. 12236 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(12214,a,12235,a)]. 12237 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(12236(a,1),12221(a,1,2))]. 12238 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(83,a,12237,a),flip(a)]. 12239 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(255,a,12235,a,b,12238,a)]. 12240 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(8134(a,1),12238(a,1,1))]. 12241 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(8134(a,1),12239(a,1,1))]. 12242 (T(K(x,y) * K(z,x),u) \ 1) \ u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(16(a,1),10425(a,1,1,1,1))]. 12243 (T(K(x,y) * K(z,x),u) \ 1) \ u = T(K(x,y) * K(z,x),u) * u. [hyper(255,a,11972,a,b,12242,a)]. 12244 (T(K(x,y) * K(z,x),u) \ 1) \ u = u * (K(z,x) * K(x,y)). [hyper(255,a,11865,a(flip),b,12243,a)]. 12245 T(K(x,y) * K(y,z),u) \ u = u * (K(z,y) * K(y,x)). [para(11890(a,1),12244(a,1,1))]. 12246 x / (x * (K(y,z) * K(z,u))) = T(K(u,z) * K(z,y),x). [para(12245(a,1),70(a,1,2))]. 12247 (K(x,y) * (K(z,x) * u)) \ u = T(K(y,x) * K(x,z),u). [hyper(255,a,11886,a(flip),b,12246,a(flip)),flip(a)]. 12248 T(K(x,y) * K(y,z),u) \ 1 = T(K(y,x) * K(z,y),u). [para(12247(a,1),10493(a,1,1))]. 12249 K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). [para(5510(a,1),5730(a,1,1))]. 12250 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). [para(5510(a,1),12249(a,1,2,1,1)),flip(a)]. 12251 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). [para(5381(a,1),12250(a,2,2,1))]. 12252 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). [para(6358(a,1),12251(a,2,2))]. 12253 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). [para(5187(a,1),12252(a,1,1,1)),flip(a)]. 12254 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). [para(6358(a,1),12253(a,2,1,2))]. 12255 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). [hyper(255,a,12201,a(flip),b,12254,a(flip))]. 12256 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(5387(a,1),11054(a,1,2)),flip(a)]. 12257 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(21(a,1),3402(a,1,2,1))]. 12258 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(67(a,1),12257(a,1,2))]. 12260 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(219,a,12258,a)]. 12263 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(3741(a,1),12260(a,1,1))]. 12264 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(255,a,7177,a(flip),b,12263,a(flip))]. 12265 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(255,a,5142,a(flip),b,12264,a)]. 12266 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(255,a,10632,a(flip),b,12265,a)]. 12267 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(12265(a,2),7178(a,1,1))]. 12268 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1150(a,1),12266(a,1,2))]. 12269 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(12268(a,1),5241(a,2,1)),flip(a)]. 12270 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(255,a,8154,a,b,12269,a)]. 12271 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. [para(12269(a,2),8183(a,1))]. 12272 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(12267(a,1),11805(a,1,2))]. 12273 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(255,a,6434,a(flip),b,12272,a(flip)),flip(a)]. 12274 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(255,a,10480,a(flip),b,12273,a)]. 12275 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(255,a,11811,a(flip),b,12274,a(flip))]. 12276 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(12274(a,1),73(a,1,1))]. 12277 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(12276(a,1),5062(a,1,2,1))]. 12278 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(255,a,10480,a(flip),b,12277,a)]. 12279 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(12275(a,1),12278(a,1,1))]. 12280 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(255,a,11812,a,b,12279,a(flip)),flip(a)]. 12281 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(6709(a,1),12280(a,1,1))]. 12282 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(255,a,6031,a(flip),b,12281,a(flip))]. 12283 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(255,a,10491,a(flip),b,12282,a(flip)),flip(a)]. 12284 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(12283(a,1),73(a,1,1))]. 12285 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(12284(a,1),2229(a,1,1))]. 12286 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(12285(a,1),6992(a,1,2,1))]. 12287 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T((((y * z) \ y) \ 1) \ x,u)). [hyper(8996,a,12286,a),flip(a)]. 12288 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * ((K(z,x) * y) / z). [para(5214(a,1),5081(a,2,2,1))]. 12289 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * (K(z,x) * (y / z)). [para(7716(a,1),12288(a,2,2))]. 12290 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = T(z,x) * (K(x,z) * (y / z)). [hyper(255,a,12183,a(flip),b,12289,a)]. 12291 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = z * (y / z). [hyper(255,a,5564,a(flip),b,12290,a)]. 12293 ((T(x,y) / z) \ ((y * (((y \ (x * y)) / z) * z)) / y)) * ((y \ (x * y)) / z) = z * (x / z). [para(37(a,2),12291(a,1,1,1,1))]. 12294 ((T(x,y) / z) \ ((y * ((T(x,y) / z) * z)) / y)) * ((y \ (x * y)) / z) = z * (x / z). [para(37(a,2),12293(a,1,1,2,1,2,1,1))]. 12295 ((T(x,y) / z) \ ((y * T(x,y)) / y)) * ((y \ (x * y)) / z) = z * (x / z). [para(21(a,1),12294(a,1,1,2,1,2))]. 12297 ((T(x,y) / z) \ x) * ((y \ (x * y)) / z) = z * (x / z). [para(167(a,1),12295(a,1,1,2))]. 12298 ((T(x,y) / z) \ x) * (T(x,y) / z) = z * (x / z). [para(37(a,2),12297(a,1,2,1))]. 12299 K((T(x,y) / z) \ T(x,u),T(x,y) / z) = T(x,u) \ T(z * (x / z),u). [para(12298(a,1),5046(a,1,2,1)),flip(a)]. 12300 K((T(x,y) / z) \ T(x,u),T(x,y) / z) = K(z,z \ T(x,u)). [hyper(255,a,5659,a(flip),b,12299,a)]. 12301 K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K(z,z \ x). [hyper(255,a,7991,a(flip),b,12300,a)]. 12302 K(K(x,y) * z,z \ T(y,x)) = K(z,z \ y). [hyper(255,a,12046,a(flip),b,12301,a(flip)),flip(a)]. 12304 K(K(x,T(y,z \ T(y,x))) * z,z \ T(y,x)) = K(z,z \ y). [hyper(255,a,8077,a,b,12302,a(flip)),flip(a)]. 12305 K(K(x,T(y,z \ y)) * z,z \ T(y,x)) = K(z,z \ y). [para(8802(a,1),12304(a,1,1,1,2))]. 12306 K(K(x,T(y,z)) * z,z \ T(y,x)) = K(z,z \ y). [para(8542(a,1),12305(a,1,1,1))]. 12308 K(x * K(y,z),x \ T(z,y)) = K(x,x \ z). [para(8235(a,1),12306(a,1,1))]. 12309 T(T(x,y) / z,z * K(y,x)) = T(x,y) / (z * K(z,z \ x)). [para(12308(a,1),7825(a,1,2,2)),flip(a)]. 12310 T(T(x,y) / z,z * K(y,x)) = T(x,y) / T(z,z \ x). [para(5252(a,2),12309(a,2,2))]. 12311 T(x,L(T(y * z,z) / T(y,y \ (y * z)),u,w)) = T(x,L((y * z) / y,u,w)). [para(12310(a,1),11268(a,1,2,1))]. 12312 T(x,L(T(y * z,z) / T(y,z),u,w)) = T(x,L((y * z) / y,u,w)). [para(18(a,1),12311(a,1,2,1,2,2))]. 12313 T(x,L((y * z) / y,u,w)) = T(x,L(z * K(y * z,z),u,w)). [para(5422(a,1),12312(a,1,2,1)),flip(a)]. 12314 T(x,L(T(y,z * y),u,w)) = T(x,L((z * y) / z,u,w)). [hyper(255,a,8864,a(flip),b,12313,a),flip(a)]. 12315 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [hyper(255,a,8863,a(flip),b,12314,a)]. 12316 (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(12315(a,1),11673(a,1,2))]. 12317 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). [para(4536(a,1),12316(a,1,2)),flip(a)]. 12318 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). [para(43(a,1),12317(a,2,2))]. 12319 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x). [hyper(255,a,7790,a(flip),b,12318,a)]. 12320 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x). [para(11637(a,1),12319(a,2,1))]. 12321 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x). [hyper(255,a,7434,a(flip),b,12320,a)]. 12322 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(7537(a,1),12321(a,1,2,3))]. 12323 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(4474(a,1),12322(a,1,2,3))]. 12324 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [hyper(255,a,11738,a,b,12323,a(flip)),flip(a)]. 12325 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(11600(a,1),12324(a,1,1))]. 12326 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(3140(a,1),12325(a,1,2)),flip(a)]. 12327 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(255,a,5600,a(flip),b,12326,a)]. 12328 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(11637(a,1),12327(a,2,1))]. 12329 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(255,a,5263,a,b,12328,a)]. 12330 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(255,a,12004,a,b,12329,a(flip)),flip(a)]. 12331 x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(6849(a,1),10300(a,1,2,1))]. 12332 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(4245(a,1),12331(a,1,2,2)),flip(a)]. 12333 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(8521(a,1),12332(a,2,2))]. 12334 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(18(a,1),12333(a,2,2,1))]. 12335 K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(11991(a,1),12334(a,1,1,2))]. 12336 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8978(a,1),12335(a,1,1))]. 12338 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(11991(a,1),12336(a,1,2,1))]. 12339 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(5804(a,1),12338(a,1,2))]. 12340 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7786(a,1),12339(a,1,2))]. 12341 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(7212(a,1),12340(a,1,2)),flip(a)]. 12342 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(255,a,7814,a,b,12341,a)]. 12344 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(9068(a,1),6546(a,1,1)),flip(a)]. 12345 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(255,a,7714,a,b,12344,a)]. 12347 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(5272(a,1),12345(a,2,1))]. 12348 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(9068(a,1),6547(a,1,1)),flip(a)]. 12349 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(255,a,7714,a,b,12348,a)]. 12351 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(5272(a,1),12349(a,2,1))]. 12352 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). [hyper(255,a,10086,a(flip),b,12351,a)]. 12353 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4565(a,2),12352(a,1,2))]. 12354 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(9064(a,1),12353(a,1,2,1))]. 12355 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4563(a,2),12354(a,1,2,1))]. 12357 K((x * (K(y,x) / T(x,z))) \ 1,((x \ K(x,y)) * T(x,z)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). [para(8888(a,1),11769(a,1,1,1))]. 12358 (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(6125(a,1),11770(a,1,1,1))]. 12359 ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11767(a,1),12358(a,1,1))]. 12360 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11767(a,1),12359(a,1,2,1))]. 12361 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(6125(a,1),12360(a,1,2,2,2))]. 12362 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). [para(10698(a,1),10699(a,2,2,1,1))]. 12363 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). [hyper(255,a,1907,a(flip),b,12362,a)]. 12364 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). [para(2114(a,1),12363(a,2,2))]. 12365 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). [para(821(a,1),12364(a,2,2,1))]. 12366 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1158(a,1),12365(a,2,2,1,2))]. 12367 T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1907(a,1),12366(a,1,1))]. 12368 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). [hyper(255,a,9593,a(flip),b,9840,a)]. 12369 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). [hyper(255,a,8138,a(flip),b,12368,a)]. 12370 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2889(a,1),9792(a,1,1,1,2))]. 12371 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(255,a,18,a(flip),b,11284,a)]. 12373 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(11282(a,1),12371(a,1,3))]. 12375 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(12197(a,1),12373(a,1,3))]. 12376 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [para(12375(a,1),112(a,1,2))]. 12377 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(255,a,12225,a(flip),b,12376,a(flip))]. 12378 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5608(a,1),12377(a,1,2))]. 12379 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(8236(a,1),12378(a,1,1,1)),flip(a)]. 12380 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(173,a,12379,a),flip(a)]. 12382 K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(4882(a,1),12370(a,1,1,1))]. 12383 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). [para(126(a,1),12382(a,1,1,1)),flip(a)]. 12385 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). [para(2889(a,1),12383(a,2,1,3,2))]. 12386 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). [para(18(a,1),12385(a,2,1,3))]. 12388 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4857(a,1),12386(a,2,1))]. 12389 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(70(a,1),12388(a,1,1,1,1,2))]. 12390 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(2889(a,1),12389(a,1,1,2))]. 12391 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(255,a,6038,a(flip),b,12390,a(flip)),flip(a)]. 12393 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). [para(37(a,2),12391(a,1,1,1,1)),flip(a)]. 12394 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(10487(a,1),12393(a,2,1,1))]. 12395 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(255,a,7622,a(flip),b,12394,a)]. 12396 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(37(a,2),12395(a,1,1,3))]. 12397 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7542(a,1),12396(a,2,1))]. 12398 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(255,a,7206,a(flip),b,12397,a(flip)),flip(a)]. 12399 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [para(12398(a,1),6918(a,2,2))]. 12401 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [hyper(255,a,112,a(flip),b,12399,a)]. 12402 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [para(7559(a,1),12401(a,2,2))]. 12403 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [hyper(6893,a,12402,a)]. 12404 K(x * y,z) * x = x * K(y * x,z). [hyper(11395,a,12403,a),flip(a)]. 12405 K(x * y,T(z,y)) = K(y * x,z). [hyper(8290,a,12404,a),flip(a)]. 12406 K(x * y,T(z,x)) = K(y * x,z). [hyper(7651,a,12404,a)]. 12410 K(x * (y / x),z) = K(y,T(z,x)). [para(21(a,1),12405(a,1,1)),flip(a)]. 12412 K(T(x,y),z * y) = 1 / K(y * z,x). [para(12405(a,1),5394(a,1,2)),flip(a)]. 12414 K((x \ y) * x,z) = K(y,T(z,x)). [para(19(a,1),12406(a,1,1)),flip(a)]. 12416 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(12406(a,1),12062(a,1,1))]. 12417 K(T(x,y) * y,z) = K(x * y,T(z,x)). [para(4127(a,2),12410(a,1,1))]. 12419 K((x \ y) * x,T(y,z)) = 1. [hyper(255,a,403,a(flip),b,12414,a)]. 12420 T(x,(y \ z) * y) = x / K(z,T(x,y)). [para(12414(a,1),5197(a,2,2))]. 12421 K(T(x,y),z * y) = K(x,y * z). [hyper(255,a,5394,a(flip),b,12412,a)]. 12422 K(x,T(y * z,z)) = K(x,z * y). [hyper(7899,a,12421,a)]. 12423 K(x,T(y * z,y)) = K(x,z * y). [hyper(8571,a,12422,a)]. 12424 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [hyper(8551,a,12422,a)]. 12427 K(x,(y \ z) * y) = K(x,T(z,y)). [para(19(a,1),12423(a,1,2,1)),flip(a)]. 12429 T(x * y,T(z,x)) \ 1 = (x * y) \ K(z,y * x). [para(12423(a,1),7581(a,2,2))]. 12430 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(12423(a,1),11113(a,1,2)),flip(a)]. 12431 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(5025(a,1),12427(a,1,2)),flip(a)]. 12432 K(T(x \ y,x) * x,y) = 1. [hyper(255,a,12419,a(flip),b,12417,a)]. 12433 x * K(T(y \ z,y) * y,z) = x. [para(12432(a,2),17(a,1,2))]. 12434 T(x,(y \ z) * y) = T(x,T(z,y)). [hyper(255,a,7594,a(flip),b,12420,a)]. 12435 T(x,T(y * z,y)) = T(x,z * y). [para(18(a,1),12434(a,1,2,1)),flip(a)]. 12444 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(255,a,10161,a(flip),b,12424,a(flip))]. 12446 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(8504,a,12430,a)]. 12449 K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. [para(12431(a,1),5403(a,1))]. 12453 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(255,a,8503,a(flip),b,12446,a(flip))]. 12459 T(K(x,y) * K(z,x),T(u,K(x,y))) \ 1 = K(x,T(z,u)) * K(y,T(x,u)). [hyper(255,a,12038,a(flip),b,12429,a)]. 12466 K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). [para(11980(a,1),12416(a,1,1,1))]. 12469 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(255,a,8436,a(flip),b,12453,a(flip))]. 12470 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(8504,a,12469,a)]. 12471 K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). [para(5845(a,2),12470(a,2,2))]. 12472 T(K(x,y) * K(y,z),u) \ 1 = K(y,T(x,u)) * K(z,T(y,u)). [para(10301(a,1),12459(a,1,1))]. 12473 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(255,a,12248,a(flip),b,12472,a(flip))]. 12474 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(12473(a,1),10284(a,1,1)),flip(a)]. 12475 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [hyper(255,a,11206,a(flip),b,12474,a(flip))]. 12481 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(10746(a,1),12475(a,1,1)),flip(a)]. 12483 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(12481(a,1),12120(a,2,1))]. 12484 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(12111(a,1),12483(a,2,1,1))]. 12486 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(7464(a,1),12484(a,1,1,1))]. 12488 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(10189(a,1),12486(a,1,1))]. 12489 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(9374(a,1),12488(a,1,1)),flip(a)]. 12490 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(80,a,12489,a(flip),b,637,a)]. 12491 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(255,a,11303,a(flip),b,12490,a(flip))]. 12492 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(10020(a,1),12491(a,2,2))]. 12493 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(255,a,10022,a(flip),b,12492,a)]. 12496 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(38,a,12493,a)]. 12497 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(12496(a,1),11372(a,1,2))]. 12498 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(10047(a,1),12497(a,1,1,2,1))]. 12499 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(467,a,12498,a),flip(a)]. 12501 R(a(x,y,x),z,u) = a(x,y,x). [hyper(22,a,10017,a(flip),b,12499,a)]. 12503 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(255,a,458,a,b,12501,a(flip)),flip(a)]. 12504 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(255,a,12109,a(flip),b,12501,a(flip)),flip(a)]. 12505 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(255,a,10302,a(flip),b,12501,a(flip))]. 12506 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(12501(a,1),122(a,1,1)),flip(a)]. 12508 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (a(u,z,u) * (K(z,u) * y)) \ (K(u * z,u) * (y * x)). [para(12501(a,1),9186(a,1,1,1)),flip(a)]. 12509 L(x,y,a(z,u,z)) = x. [para(12501(a,1),12496(a,1,3))]. 12510 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(12509(a,1),483(a,1,2))]. 12511 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(12509(a,1),425(a,1,2,1)),flip(a)]. 12514 a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). [hyper(255,a,11585,a,b,12504,a)]. 12515 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(12504(a,1),12116(a,1,2)),flip(a)]. 12516 a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). [hyper(11949,a,12514,a),flip(a)]. 12518 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5984(a,1),12505(a,1,2)),flip(a)]. 12519 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(12506(a,1),29(a,2,1)),flip(a)]. 12520 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(10017(a,1),12506(a,1,1))]. 12522 a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). [para(37(a,1),12516(a,1,2))]. 12524 (x * a(y,x,y)) * z = x * (a(y,x,y) * z). [hyper(255,a,11727,a(flip),b,12520,a)]. 12525 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(255,a,9182,a(flip),b,12515,a)]. 12527 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(10351,a,12525,a),flip(a)]. 12528 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(255,a,11059,a,b,12522,a(flip)),flip(a)]. 12529 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(255,a,11327,a(flip),b,12527,a(flip)),flip(a)]. 12530 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(255,a,12139,a(flip),b,12529,a(flip)),flip(a)]. 12534 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(255,a,12176,a(flip),b,12530,a(flip)),flip(a)]. 12536 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(255,a,11918,a(flip),b,12534,a(flip))]. 12537 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(10036(a,1),12503(a,1,1,1))]. 12539 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(255,a,11519,a(flip),b,12518,a(flip)),flip(a)]. 12540 a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). [hyper(255,a,11473,a(flip),b,12528,a(flip))]. 12541 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(255,a,12256,a,b,12540,a),flip(a)]. 12543 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(255,a,11970,a(flip),b,12536,a(flip)),flip(a)]. 12544 R(K(x,y),z,u) = K(R(x,z,u),y). [para(5911(a,1),12543(a,1,1))]. 12545 R(K(x,y),K(x,z),u) = K(x,y). [para(4610(a,1),12544(a,2,1))]. 12550 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(12544(a,1),9993(a,1,1,1,2))]. 12552 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [para(12545(a,1),122(a,1,1)),flip(a)]. 12553 L(x,K(y,z),K(y,u)) = x. [hyper(422,a,12552,a)]. 12554 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(255,a,6306,a(flip),b,12553,a(flip)),flip(a)]. 12555 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(255,a,6144,a(flip),b,12553,a(flip)),flip(a)]. 12557 (K(x,y) * K(x,z)) \ 1 = K(z,x) * K(y,x). [hyper(255,a,6108,a,b,12555,a)]. 12558 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. [para(12555(a,1),7325(a,2,1))]. 12559 K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. [hyper(255,a,6555,a(flip),b,12554,a(flip))]. 12560 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(11906,a,12550,a)]. 12561 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [para(60(a,1),12560(a,1,2))]. 12562 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(92,a,12561,a),flip(a)]. 12564 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(12561(a,1),91(a,1)),flip(b)]. 12565 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(255,a,12544,a(flip),b,12562,a(flip)),flip(a)]. 12571 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(12562(a,1),12197(a,1,2))]. 12572 T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). [para(12562(a,1),12224(a,2,1,2))]. 12573 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(7317,a,12565,a),flip(a)]. 12576 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(12544(a,1),12564(a,1))]. 12577 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(255,a,12202,a(flip),b,12571,a(flip)),flip(a)]. 12578 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(12577(a,2),12239(a,2,1)),flip(a)]. 12579 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(255,a,12241,a,b,12578,a(flip)),flip(a)]. 12581 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(12576,a,12573,a)]. 12582 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(5252(a,2),12572(a,2,1))]. 12583 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(3531(a,1),12559(a,1,2)),flip(a)]. 12584 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(255,a,5683,a(flip),b,12583,a)]. 12585 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(8605(a,1),12584(a,2,2))]. 12586 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))). [para(12585(a,1),12357(a,1,2)),flip(a)]. 12587 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(122(a,1),12537(a,1,1))]. 12588 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12524(a,1),12587(a,1,1,1))]. 12589 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(19(a,1),12588(a,1,2,1))]. 12590 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(11728(a,1),12589(a,1,1,1)),flip(a)]. 12591 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(255,a,35,a,b,12590,a)]. 12592 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(18(a,1),12591(a,1,2,2)),flip(a)]. 12593 a(x,R(y,z,u),x) = a(x,y,x). [hyper(255,a,12501,a(flip),b,12592,a(flip))]. 12595 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(12593(a,1),9169(a,1,1))]. 12596 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(12593(a,1),9189(a,1,1)),flip(a)]. 12597 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(255,a,9189,a(flip),b,12596,a)]. 12598 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(12597(a,1),12355(a,1,2))]. 12599 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [hyper(10069,a,12595,a)]. 12600 (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). [para(12599(a,2),4449(a,1,1))]. 12601 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(718(a,1),12598(a,1,2)),flip(a)]. 12603 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(12601(a,1),5182(a,2,2)),flip(a)]. 12604 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(255,a,12342,a(flip),b,12603,a(flip)),flip(a)]. 12605 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(12202(a,1),12604(a,1,1))]. 12606 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(255,a,12380,a,b,12605,a(flip))]. 12607 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(584(a,1),12606(a,2,1,2))]. 12608 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(255,a,5911,a,b,12607,a(flip)),flip(a)]. 12609 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(21(a,1),12607(a,1,1))]. 12610 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(255,a,9020,a(flip),b,12609,a(flip)),flip(a)]. 12611 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(255,a,12444,a(flip),b,12610,a(flip)),flip(a)]. 12612 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(5376(a,1),12611(a,2,1))]. 12613 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). [hyper(255,a,10565,a(flip),b,12600,a(flip)),flip(a)]. 12614 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(12607(a,1),12608(a,1,1))]. 12616 a(L(x,y,z),T(u,L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [para(37(a,2),12541(a,1,2))]. 12617 a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(9754,a,12616,a)]. 12618 a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). [hyper(255,a,12504,a(flip),b,12617,a)]. 12619 L(a(x,y,x),z,u) = a(x,y,x). [hyper(255,a,11683,a(flip),b,12618,a(flip)),flip(a)]. 12622 a(x,y * K(z,y),x) = a(x,y,x). [hyper(255,a,12505,a,b,12619,a(flip)),flip(a)]. 12624 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(12619(a,1),112(a,1,2))]. 12627 a(x,T(y,z),x) = a(x,y,x). [para(5266(a,1),12622(a,1,2)),flip(a)]. 12628 a(x,y / z,x) = a(x,z \ y,x). [para(5268(a,1),12622(a,1,2))]. 12631 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(187(a,1),12627(a,1,2)),flip(a)]. 12632 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(476(a,1),12627(a,1,2)),flip(a)]. 12635 a(x,y / (z * y),x) = a(x,z \ 1,x). [hyper(255,a,11204,a(flip),b,12628,a)]. 12636 a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). [para(11216(a,1),12635(a,1,2,2)),flip(a)]. 12637 R(x,y,a(z,u,z)) = x. [hyper(10811,a,12624,a)]. 12662 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(255,a,12631,a(flip),b,12632,a(flip)),flip(a)]. 12663 a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). [hyper(255,a,12593,a(flip),b,12662,a(flip))]. 12665 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(12663(a,1),10044(a,1,2,1)),flip(a)]. 12686 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [hyper(255,a,10044,a(flip),b,12665,a)]. 12719 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(12506(a,1),12511(a,2,1))]. 12720 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(255,a,12510,a(flip),b,12719,a)]. 12721 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(35(a,2),12720(a,2,2))]. 12722 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(12509(a,1),12721(a,1,2))]. 12723 T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(12722(a,2),12367(a,1,1,2))]. 12724 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(12506(a,1),12519(a,1,2,1))]. 12725 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(5436(a,1),12539(a,2,2))]. 12726 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(9179,a,12725,a)]. 12727 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(12619(a,1),12726(a,1,1))]. 12728 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(255,a,12628,a(flip),b,12727,a)]. 12730 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(33(a,2),12728(a,2,2))]. 12731 a(x,L(y,z,u),x) = a(x,y,x). [hyper(255,a,12619,a(flip),b,12730,a(flip))]. 12733 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(241(a,1),12731(a,1,2))]. 12734 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [para(1977(a,2),12731(a,1,2)),flip(a)]. 12735 R(x,L(y,z,u),x) = x * a(x,y,x). [para(12731(a,1),9159(a,1,2)),flip(a)]. 12736 R(x,L(y,z,u),x) = R(x,y,x). [hyper(255,a,9159,a(flip),b,12735,a)]. 12737 L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(12736(a,1),12347(a,1,2,1))]. 12738 L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. [para(12734(a,1),9366(a,1,1)),flip(a)]. 12739 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [hyper(255,a,9366,a(flip),b,12738,a)]. 12740 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(12506(a,1),12724(a,1,2))]. 12741 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(754,a,12740,a)]. 12742 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(255,a,12509,a(flip),b,12741,a(flip))]. 12744 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(19(a,1),12742(a,1,1)),flip(a)]. 12745 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(9185(a,1),12742(a,1,1))]. 12746 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(9150(a,1),12742(a,1,1))]. 12747 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(9149(a,1),12744(a,1,1))]. 12748 a(K(x \ 1,y),z,u) = a(K(x \ y,y),z,u). [para(9173(a,1),12744(a,1,1))]. 12749 a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u). [para(19(a,1),12745(a,1,1,1))]. 12750 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(255,a,12612,a,b,12747,a(flip)),flip(a)]. 12751 a(K(x,y \ x),z,u) = a(K(y,x),z,u). [hyper(255,a,12746,a(flip),b,12749,a)]. 12752 a(K(x \ y,y),z,u) = a(K(y,x),z,u). [para(5584(a,1),12751(a,1,1)),flip(a)]. 12753 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [hyper(255,a,12748,a,b,12752,a(flip)),flip(a)]. 12754 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(3312(a,1),12753(a,1,1)),flip(a)]. 12755 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(11344(a,2),12753(a,2,1)),flip(a)]. 12756 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(255,a,12201,a,b,12754,a(flip)),flip(a)]. 12757 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(12565(a,1),12754(a,2,1))]. 12758 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(255,a,6782,a(flip),b,12750,a(flip)),flip(a)]. 12759 ((x * (y \ R(y,z,u))) / ((x * (y \ R(y,z,u))) / x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [hyper(255,a,6333,a(flip),b,12750,a(flip)),flip(a)]. 12760 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(255,a,12255,a,b,12757,a(flip)),flip(a)]. 12761 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(255,a,12754,a(flip),b,12757,a(flip)),flip(a)]. 12762 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6387(a,1),12755(a,2,1))]. 12763 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(255,a,12753,a(flip),b,12762,a)]. 12764 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(11344(a,1),12763(a,1,1))]. 12765 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(255,a,12761,a(flip),b,12764,a)]. 12766 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(12756(a,1),12760(a,1,1)),flip(a)]. 12767 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(255,a,12614,a(flip),b,12766,a)]. 12768 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(255,a,12765,a(flip),b,12767,a(flip)),flip(a)]. 12769 L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(12736(a,1),12737(a,1,2,2,1))]. 12771 L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4563(a,2),12769(a,1,2))]. 12773 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4621(a,1),12771(a,1,2,2))]. 12774 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(12435(a,1),12773(a,1,2))]. 12775 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(716(a,1),12774(a,1,2)),flip(a)]. 12776 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(255,a,10085,a(flip),b,12775,a(flip)),flip(a)]. 12777 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(80,a,12776,a(flip),b,5252,a(flip))]. 12778 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(9146,a,12777,a),flip(a)]. 12779 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(255,a,11633,a(flip),b,12778,a)]. 12780 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(21(a,1),12779(a,1,1))]. 12781 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(255,a,7101,a(flip),b,12780,a(flip)),flip(a)]. 12782 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(11579(a,1),12781(a,2,3))]. 12783 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(255,a,11707,a(flip),b,12782,a)]. 12785 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(255,a,11002,a(flip),b,12783,a(flip)),flip(a)]. 12786 ((x * (L(y,z,u) \ y)) / ((x * (L(y,z,u) \ y)) / x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [hyper(255,a,6333,a(flip),b,12785,a(flip)),flip(a)]. 12787 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(21(a,1),12785(a,1,2))]. 12788 K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w). [para(12785(a,1),5605(a,1,2,1)),flip(a)]. 12789 K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). [hyper(255,a,10206,a(flip),b,12788,a)]. 12790 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [para(12789(a,1),11709(a,1,3)),flip(a)]. 12791 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [hyper(255,a,11723,a(flip),b,12790,a(flip)),flip(a)]. 12792 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(12790(a,1),9958(a,1,2))]. 12793 a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). [para(12791(a,1),11912(a,1,1))]. 12794 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(6939,a,12787,a)]. 12795 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(255,a,11019,a(flip),b,12794,a(flip)),flip(a)]. 12796 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(11582(a,1),12795(a,2,3))]. 12797 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(73(a,1),12796(a,2,3,1))]. 12800 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(12797(a,1),5605(a,1,2,1)),flip(a)]. 12801 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(255,a,10206,a(flip),b,12800,a)]. 12802 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(12801(a,1),5252(a,2,2))]. 12803 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(9970(a,1),12792(a,1,2)),flip(a)]. 12804 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(255,a,17,a(flip),b,12803,a)]. 12806 K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). [para(12804(a,1),5605(a,1,2,1)),flip(a)]. 12807 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(255,a,5605,a(flip),b,12806,a)]. 12808 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(12807(a,1),5252(a,2,2))]. 12809 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(255,a,5252,a,b,12808,a)]. 12810 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(9971(a,1),12793(a,1,1))]. 12811 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(83,a,12810,a)]. 12813 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(255,a,7105,a(flip),b,12811,a(flip)),flip(a)]. 12815 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(12813(a,1),5252(a,2,2)),flip(a)]. 12818 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(5255,a,12815,a),flip(a)]. 12819 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(12818(a,2),542(a,1,1))]. 12821 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(255,a,12802,a(flip),b,12819,a)]. 12825 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(19(a,1),12723(a,1,1,2,1)),flip(a)]. 12826 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(12825(a,1),12758(a,1,1))]. 12827 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(18(a,1),12826(a,1,2))]. 12828 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(5281,a,12827,a),flip(a)]. 12830 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(12828(a,1),12240(a,2,2))]. 12831 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(255,a,12579,a(flip),b,12830,a(flip))]. 12832 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(255,a,9527,a,b,12831,a(flip)),flip(a)]. 12833 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(8138(a,2),12832(a,2,1))]. 12834 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(9717,a,12833,a)]. 12835 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(255,a,10140,a(flip),b,12834,a(flip)),flip(a)]. 12836 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(8154(a,1),12835(a,2,1))]. 12838 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(9316(a,1),12836(a,2,1))]. 12839 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(10160,a,12838,a)]. 12842 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(255,a,10791,a(flip),b,12839,a(flip)),flip(a)]. 12844 a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). [hyper(11032,a,12636,a)]. 12845 a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). [hyper(255,a,12733,a(flip),b,12844,a(flip)),flip(a)]. 12846 a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). [para(33(a,2),12845(a,1,2,2))]. 12847 a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(5123(a,1),12846(a,1,2))]. 12848 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(255,a,11239,a(flip),b,12847,a(flip)),flip(a)]. 12849 a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). [hyper(255,a,12628,a(flip),b,12848,a),flip(a)]. 12851 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(152(a,1),12849(a,1,2,2))]. 12852 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(12851(a,1),10327(a,1,1,2))]. 12873 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(33(a,2),12471(a,1,2,2,2)),flip(a)]. 12874 (x * K(L(y,z,u) \ y,x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [para(5165(a,1),12786(a,1,1))]. 12875 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [para(18(a,1),12874(a,1,2,2))]. 12877 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(12739(a,1),12875(a,1,2))]. 12878 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(255,a,5849,a(flip),b,12877,a(flip)),flip(a)]. 12879 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(255,a,7709,a(flip),b,12878,a(flip)),flip(a)]. 12880 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(12809(a,1),12879(a,1,2,1))]. 12881 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(5491,a,12880,a)]. 12882 (x * K(y \ R(y,z,u),x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [para(5165(a,1),12759(a,1,1))]. 12883 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [para(18(a,1),12882(a,1,2,2))]. 12885 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (L(T(u,z),z,u) \ y)) \ (K(u * z,u) * (y * x)). [para(10188(a,1),12508(a,2,1))]. 12887 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (T(u,u * z) \ y)) \ (K(u * z,u) * (y * x)). [para(542(a,1),12885(a,2,1,2,1))]. 12888 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (K(u * z,u) * y) \ (K(u * z,u) * (y * x)). [para(5225(a,1),12887(a,2,1))]. 12889 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = L(x,y,K(u * z,u)). [hyper(255,a,33,a,b,12888,a)]. 12890 L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). [para(12501(a,1),12889(a,1,3))]. 12891 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [hyper(255,a,12509,a(flip),b,12890,a(flip))]. 12894 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(19(a,1),12891(a,1,3,1)),flip(a)]. 12895 L(x,y / z,K(y,z)) = x. [hyper(255,a,7635,a(flip),b,12894,a(flip))]. 12896 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(12895(a,1),5702(a,1,2)),flip(a)]. 12897 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5622,a,12896,a)]. 12898 R(K(x,y),x \ y,z) = K(x,y). [hyper(9574,a,12897,a)]. 12899 R(K(x,x * y),y,z) = K(x,x * y). [para(18(a,1),12898(a,1,2))]. 12901 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(255,a,11966,a,b,12899,a(flip)),flip(a)]. 12902 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(12899(a,1),10515(a,2,2))]. 12904 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(12901(a,1),11971(a,1,1))]. 12905 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(255,a,5252,a,b,12902,a)]. 12907 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(255,a,4903,a(flip),b,12905,a(flip)),flip(a)]. 12908 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(21(a,1),12907(a,1,2,1,2))]. 12909 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(255,a,8918,a,b,12908,a(flip)),flip(a)]. 12910 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(255,a,5252,a(flip),b,12909,a),flip(a)]. 12911 K(x,(x * y) / z) = K(x,x * (y / z)). [hyper(22,a,8718,a,b,12910,a),flip(a)]. 12912 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(22,a,5252,a(flip),b,12910,a),flip(a)]. 12913 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(6392,a,12911,a)]. 12914 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(12912(a,1),8289(a,1,1,2))]. 12915 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(12913(a,1),7208(a,1,1))]. 12916 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(255,a,8289,a(flip),b,12914,a(flip))]. 12917 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(255,a,8962,a(flip),b,12916,a(flip)),flip(a)]. 12918 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(9930,a,12917,a)]. 12919 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(255,a,7208,a(flip),b,12915,a(flip))]. 12920 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(255,a,12913,a(flip),b,12904,a)]. 12922 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(35(a,2),12920(a,2,2,2))]. 12923 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(12564,a,12922,a)]. 12924 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). [hyper(255,a,7337,a(flip),b,12586,a)]. 12925 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). [para(9253(a,1),12924(a,2,1,2))]. 12926 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). [para(7842(a,1),12925(a,2,1))]. 12927 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). [para(3315(a,1),12926(a,2,1,1))]. 12928 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). [para(6667(a,1),12927(a,2,2))]. 12929 K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(5998(a,1),12466(a,1,1))]. 12930 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(19(a,1),12929(a,1,2,2,1,2))]. 12932 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(9267(a,1),12930(a,1,2))]. 12933 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(12918(a,1),12932(a,1,2))]. 12934 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(7801(a,1),12933(a,1,2)),flip(a)]. 12935 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(255,a,5540,a(flip),b,12934,a)]. 12936 L(x,y / z,x) = L(x,z \ y,x). [hyper(255,a,11187,a(flip),b,12935,a(flip))]. 12938 L(x,(y \ z) \ z,x) = L(x,y,x). [para(70(a,1),12936(a,1,2)),flip(a)]. 12939 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(4038(a,2),12936(a,1,2))]. 12940 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(5427(a,2),12936(a,1,2))]. 12941 L(x,y * K(z,y),x) = L(x,y,x). [para(6145(a,1),12938(a,1,2)),flip(a)]. 12943 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5986(a,1),12941(a,1,2))]. 12944 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(255,a,12943,a(flip),b,12940,a(flip))]. 12946 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(255,a,12686,a(flip),b,12944,a(flip))]. 12948 L(x,R(y,z,u),x) = L(x,y,x). [para(18(a,1),12946(a,2,2))]. 12949 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(29(a,2),12939(a,2,2))]. 12950 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(255,a,12948,a(flip),b,12949,a(flip)),flip(a)]. 12952 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(12950(a,1),12883(a,1,2))]. 12953 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(255,a,5849,a(flip),b,12952,a(flip)),flip(a)]. 12954 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(12828(a,2),12953(a,1,1))]. 12955 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(255,a,10056,a(flip),b,12954,a(flip)),flip(a)]. 12977 (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(6125(a,1),9582(a,1,1,1))]. 12978 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(1990(a,1),12852(a,2,1))]. 12979 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [hyper(255,a,12637,a(flip),b,12978,a)]. 12981 ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [para(10066(a,1),12979(a,1,1))]. 12982 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(255,a,10567,a(flip),b,12981,a(flip)),flip(a)]. 12983 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(255,a,12821,a(flip),b,12982,a(flip))]. 12984 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(12983(a,2),12003(a,1,1))]. 12985 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(12983(a,2),12330(a,1,1))]. 12986 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(5829,a,12984,a)]. 12987 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (1 / u))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(4912(a,1),12986(a,1,1))]. 12988 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(5829,a,12985,a)]. 12989 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(11214(a,1),12987(a,1,2,1))]. 12990 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(255,a,12986,a(flip),b,12989,a(flip))]. 12994 (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5127(a,1),10227(a,1,2,1,2,2,2))]. 12995 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4896(a,1),12994(a,1,2,1,2,2))]. 12996 (x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8134(a,1),12995(a,1,2,1))]. 12997 (x \ 1) * (K(y,K(x \ 1,T(z,L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8839(a,1),12996(a,1,2,1,2))]. 12998 (x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7780(a,1),12997(a,1,2,1,2))]. 13000 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8456(a,1),12998(a,1,2,1))]. 13001 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5127(a,1),13000(a,1,2,2,1,2,1,2,2))]. 13002 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4896(a,1),13001(a,1,2,2,1,2,1,2))]. 13003 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8100(a,1),13002(a,1,2,2,1,2))]. 13004 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10233(a,1),13003(a,1,2,2,1,2,2))]. 13005 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7576(a,1),13004(a,1,2,2,1,2,2))]. 13007 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8444(a,1),13005(a,1,2,2,1,2))]. 13008 (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5333(a,1),13007(a,1,2,2,1))]. 13009 (x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(9708(a,2),13008(a,1,2))]. 13010 K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(255,a,9704,a(flip),b,13009,a(flip)),flip(a)]. 13011 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(1601(a,1),13010(a,1,2)),flip(a)]. 13012 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(255,a,8179,a(flip),b,13011,a)]. 13013 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1150(a,1),13012(a,1,1)),flip(a)]. 13014 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(255,a,12161,a,b,13013,a(flip)),flip(a)]. 13015 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1150(a,1),13014(a,1,1))]. 13016 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). [para(13015(a,1),12270(a,1,2))]. 13017 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(12271,a,13016,a),flip(a)]. 13018 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(255,a,8138,a,b,13017,a)]. 13019 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(255,a,11535,a(flip),b,13018,a(flip)),flip(a)]. 13020 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(255,a,8134,a,b,13019,a)]. 13021 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(11536,a,13020,a)]. 13022 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(255,a,12873,a,b,13021,a(flip)),flip(a)]. 13023 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,12010,a(flip),b,13022,a)]. 13024 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(8347,a,13023,a)]. 13025 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(13023(a,1),8347(a,1))]. 13026 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,8130,a,b,13024,a(flip)),flip(a)]. 13027 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). [hyper(255,a,12369,a,b,13026,a(flip)),flip(a)]. 13028 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(9497,a,13027,a)]. 13029 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,12842,a(flip),b,13028,a(flip)),flip(a)]. 13030 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(9468(a,1),13029(a,1,1)),flip(a)]. 13031 K(x,K(y * z,a(y,z,u))) = 1. [hyper(255,a,11109,a(flip),b,13030,a)]. 13032 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(13025,a,13031,a)]. 13035 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. [para(13032(a,1),9927(a,1,2)),flip(a)]. 13036 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(255,a,17,a(flip),b,13035,a)]. 13038 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(255,a,9565,a,b,13036,a(flip)),flip(a)]. 13039 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(12828(a,2),13038(a,1,1))]. 13040 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(255,a,12766,a,b,13039,a(flip)),flip(a)]. 13041 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(255,a,12768,a(flip),b,13040,a(flip)),flip(a)]. 13043 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(13041(a,1),12955(a,1,2))]. 13044 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(K(x,y),z * y,u). [hyper(255,a,10062,a(flip),b,13043,a(flip)),flip(a)]. 13045 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(5491,a,13044,a)]. 13047 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(255,a,12577,a(flip),b,13045,a)]. 13049 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(255,a,12881,a(flip),b,13047,a(flip))]. 13051 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(13049(a,1),12217(a,1,1,2))]. 13069 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(255,a,9965,a(flip),b,13051,a(flip))]. 13070 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(255,a,13049,a(flip),b,13069,a(flip))]. 13071 a(x,x \ 1,K(y,z)) = 1. [hyper(255,a,10530,a(flip),b,13069,a(flip))]. 13075 a(x \ 1,x,K(y,z)) = 1. [hyper(255,a,11238,a(flip),b,13071,a(flip)),flip(a)]. 13076 L(K(x,y),z,z \ 1) = K(x,y). [hyper(38,a,13075,a)]. 13077 K(x,L(y,z,z \ 1)) = K(x,y). [hyper(11622,a,13076,a)]. 13078 (1 / x) * (x * K(y,z)) = K(y,z). [hyper(3048,a,13076,a)]. 13082 L(K(x,y),1 / z,z) = K(x,y). [para(73(a,1),13076(a,1,3))]. 13090 K(x,(y \ 1) \ z) = K(x,y * z). [para(3064(a,1),13077(a,1,2)),flip(a)]. 13095 (x \ 1) * K(y,z) = x \ K(y,z). [para(13082(a,1),3208(a,1,2)),flip(a)]. 13103 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [para(13070(a,1),12983(a,2,2))]. 13107 (1 / x) \ K(y,z) != x * u | K(y,z) = u. [para(13078(a,1),86(a,1,2)),flip(b)]. 13119 (1 / x) \ K(y,z * u) = x * K(y,(z \ 1) \ u). [hyper(80,a,13090,a(flip),b,13078,a)]. 13135 (x \ K(y,z)) * K(z,y) = x \ 1. [hyper(6674,a,13095,a)]. 13163 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [para(6670(a,1),13135(a,1,1)),flip(a)]. 13208 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). [hyper(255,a,12558,a,b,13163,a(flip)),flip(a)]. 13215 x * K(y,(z \ 1) \ (z \ u)) = (1 / x) \ K(y,u). [para(19(a,1),13119(a,1,2,2)),flip(a)]. 13220 (1 / x) \ K(y,T(z * u,w)) = x * K(y,T((z \ 1) \ u,w)). [para(923(a,1),13215(a,1,2,2)),flip(a)]. 13235 K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. [hyper(41,a,13208,a)]. 13236 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [hyper(255,a,12928,a,b,13235,a(flip)),flip(a)]. 13237 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. [para(12557(a,2),13235(a,1,2))]. 13238 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1 \ 1. [para(13237(a,1),1535(a,1,1)),flip(a)]. 13239 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. [hyper(255,a,60,a(flip),b,13238,a)]. 13241 L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). [para(13239(a,1),3308(a,1,1,2))]. 13258 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [hyper(13107,a,13220,a),flip(a)]. 13259 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(255,a,12287,a,b,13258,a(flip)),flip(a)]. 13272 K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(11767(a,1),13236(a,1,1))]. 13273 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(13272(a,1),12361(a,1,2)),flip(a)]. 13276 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(59(a,1),13259(a,1,2)),flip(a)]. 13277 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(255,a,5842,a(flip),b,13276,a)]. 13278 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(255,a,10992,a(flip),b,13277,a)]. 13280 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(255,a,8772,a(flip),b,13278,a)]. 13281 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(19(a,1),13280(a,1,2,1,1,1)),flip(a)]. 13282 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(9445,a,13281,a),flip(a)]. 13283 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(12449,a,13282,a)]. 13284 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(255,a,9896,a(flip),b,13282,a(flip)),flip(a)]. 13285 K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). [hyper(255,a,11741,a(flip),b,13283,a(flip))]. 13286 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(18(a,1),13284(a,1,2,1,1)),flip(a)]. 13287 K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). [hyper(255,a,9297,a,b,13286,a(flip)),flip(a)]. 13288 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(13285(a,1),7208(a,1,1))]. 13293 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). [hyper(255,a,12585,a(flip),b,13273,a)]. 13295 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(6125(a,1),13293(a,1,2,1))]. 13296 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). [para(11767(a,1),13295(a,1,2))]. 13297 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [para(13296(a,1),73(a,1,1))]. 13298 (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(13297(a,1),3567(a,1,1,1))]. 13300 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(255,a,9298,a(flip),b,13287,a(flip))]. 13301 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(7899,a,13300,a)]. 13303 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(255,a,10623,a(flip),b,13301,a(flip))]. 13305 K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). [para(127(a,1),13303(a,1,2,1,1,2))]. 13306 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(255,a,9448,a(flip),b,13305,a(flip))]. 13307 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(9271,a,13306,a)]. 13308 K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). [hyper(255,a,5817,a(flip),b,13307,a)]. 13309 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(73(a,1),13308(a,2,2,1,1))]. 13310 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(255,a,11968,a(flip),b,13309,a),flip(a)]. 13312 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(13310(a,2),7208(a,1,1))]. 13313 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(255,a,7213,a(flip),b,13312,a(flip)),flip(a)]. 13314 K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(255,a,7208,a(flip),b,13288,a(flip))]. 13315 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(255,a,12919,a(flip),b,13314,a(flip))]. 13316 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(70(a,1),13315(a,2,2,2))]. 13317 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(255,a,13313,a,b,13316,a(flip)),flip(a)]. 13319 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(12565(a,1),13317(a,1,1))]. 13320 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(12564,a,13319,a)]. 13321 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(255,a,12565,a(flip),b,13320,a)]. 13322 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(255,a,12581,a(flip),b,13321,a(flip))]. 13324 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(255,a,12923,a(flip),b,13322,a(flip))]. 13325 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(13324(a,2),5263(a,2,1)),flip(a)]. 13326 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(5264,a,13325,a)]. 13327 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [hyper(255,a,12613,a,b,13326,a),flip(a)]. 13328 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(255,a,10558,a(flip),b,13327,a(flip)),flip(a)]. 13329 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(255,a,12582,a,b,13328,a(flip)),flip(a)]. 13331 L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(3506(a,2),13328(a,2,2,1))]. 13332 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(13069(a,1),13329(a,1,2))]. 13371 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). [para(17(a,1),13241(a,1,1)),flip(a)]. 13372 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). [para(12555(a,1),13371(a,2,3))]. 13373 (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(12555(a,1),13372(a,1,1))]. 13374 (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(12552(a,1),13373(a,1,2))]. 13375 K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)). [hyper(255,a,11507,a(flip),b,13374,a(flip)),flip(a)]. 13376 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(5608(a,1),13375(a,1,2)),flip(a)]. 13377 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(255,a,5608,a(flip),b,13376,a)]. 13380 L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(11936(a,1),13331(a,1,1))]. 13420 L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(73(a,1),13380(a,1,1,2,1,2,1))]. 13421 L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [para(10621(a,1),13420(a,1,1))]. 13422 L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [hyper(255,a,10661,a(flip),b,13421,a(flip)),flip(a)]. 13424 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x). [para(73(a,1),13422(a,1,2,2,1)),flip(a)]. 13425 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(255,a,10693,a(flip),b,13424,a)]. 13427 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(255,a,13328,a(flip),b,13425,a)]. 13428 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(19(a,1),13427(a,2,2,1))]. 13429 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(3506(a,1),13428(a,1,2,1))]. 13438 (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(12585(a,1),13298(a,1,1))]. 13439 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(13297(a,1),13438(a,1,2,2))]. 13440 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(8798(a,1),13439(a,1,2))]. 13441 (x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(10662(a,1),13440(a,1,2))]. 13442 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(13377(a,1),13441(a,1,2)),flip(a)]. 13443 ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(13297(a,1),13442(a,1,1,1,1))]. 13444 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12585(a,1),13443(a,1,1,1))]. 13445 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(13297(a,1),13444(a,1,1)),flip(a)]. 13446 L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(13445(a,1),9292(a,1,1))]. 13447 L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(8888(a,1),13446(a,1,2))]. 13448 L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [hyper(255,a,10665,a(flip),b,13447,a(flip)),flip(a)]. 13449 L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(5225(a,1),13448(a,1,2))]. 13450 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(255,a,11515,a(flip),b,13449,a(flip))]. 13452 (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(13450(a,1),12977(a,1,1))]. 13453 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z). [para(5875(a,1),13452(a,1,1,1)),flip(a)]. 13454 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),x * z). [para(5805(a,1),13453(a,2,2))]. 13455 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),x * z). [para(6403(a,1),13454(a,2,2))]. 13456 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(x \ (x * z),T(x * z,y)). [para(8986(a,1),13455(a,2,2))]. 13457 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). [para(18(a,1),13456(a,2,2,1))]. 13458 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)). [hyper(255,a,6618,a(flip),b,13457,a)]. 13460 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(255,a,9279,a(flip),b,13458,a)]. 13461 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(6125(a,1),13460(a,1,1,1))]. 13462 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(13450(a,1),13461(a,1,1))]. 13463 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5875(a,1),13462(a,1,1,1))]. 13464 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(255,a,4897,a(flip),b,13463,a(flip)),flip(a)]. 13465 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(4563(a,1),13464(a,2,1))]. 13466 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(12801(a,1),13465(a,2,2))]. 13467 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(12801(a,1),13466(a,1,1,1))]. 13468 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(255,a,13332,a(flip),b,13467,a)]. 13469 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(10629(a,1),13468(a,1,1))]. 13470 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(13103(a,2),13469(a,1,1))]. 13471 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(5831,a,13470,a)]. 13472 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(255,a,12988,a(flip),b,13471,a(flip))]. 13473 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(255,a,13429,a(flip),b,13472,a(flip))]. 13474 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(9892(a,1),13473(a,1,2,1))]. 13475 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(255,a,12990,a(flip),b,13474,a(flip)),flip(a)]. 13476 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(5184(a,2),13475(a,1,2,1,2))]. 13477 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(12433(a,1),13476(a,1,2,1)),flip(a)]. 13478 $F # answer("TRTL"). [resolve(13477,a,53,a)]. ============================== end of proof ========================== % Disable descendants (x means already disabled): 53 given #12029 (H,wt=13): 13477 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(12433(a,1),13476(a,1,2,1)),flip(a)]. given #12030 (H,wt=15): 13479 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(80,a,13477,a(flip),b,5252,a(flip))]. -------- Proof 3 -------- "KRKL". ============================== PROOF ================================= % Proof 3 at 1186.75 (+ 46.34) seconds: "KRKL". % Length of proof is 10153. % Level of proof is 457. % Maximum clause weight is 65.000. % Given clauses 12030 (26.324 givens/level). 1 x * y = u & x * z = u -> y = z # label(non_clause). [assumption]. 2 y * x = u & z * x = u -> y = z # label(non_clause). [assumption]. 3 x * y = x * z -> y = z # label(non_clause). [assumption]. 4 y * x = z * x -> y = z # label(non_clause). [assumption]. 5 a(x,y,z) = 1 -> L(z,y,x) = z # label(non_clause). [assumption]. 6 L(x,y,z) = x -> a(z,y,x) = 1 # label(non_clause). [assumption]. 7 T(x,y) = x -> T(y,x) = y # label(non_clause). [assumption]. 8 T(x,y) = x -> K(x,y) = 1 # label(non_clause). [assumption]. 9 K(x,y) = 1 -> T(x,y) = x # label(non_clause). [assumption]. 10 K(x,R(y,z,u)) = K(x,L(y,z,u)) # label("KRKL") # label(non_clause) # label(goal). [goal]. 16 1 * x = x. [assumption]. 17 x * 1 = x. [assumption]. 18 x \ (x * y) = y. [assumption]. 19 x * (x \ y) = y. [assumption]. 20 (x * y) / y = x. [assumption]. 21 (x / y) * y = x. [assumption]. 22 x * y != z | x * u != z | u = y. [clausify(1)]. 23 x * y != z | u * y != z | u = x. [clausify(2)]. 24 x * y != x * z | y = z. [clausify(3)]. 25 x * y != z * y | x = z. [clausify(4)]. 26 x != y | z * x = z * y. [assumption]. 27 x != y | x * z = y * z. [assumption]. 28 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 29 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(28),flip(a)]. 30 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 31 K(x,y) = (y * x) \ (x * y). [copy(30),flip(a)]. 32 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 33 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(32),flip(a)]. 34 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 35 R(x,y,z) = ((x * y) * z) / (y * z). [copy(34),flip(a)]. 36 x \ (y * x) = T(y,x). [assumption]. 37 T(x,y) = y \ (x * y). [copy(36),flip(a)]. 38 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 39 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 40 T(x,y) != x | T(y,x) = y. [clausify(7)]. 41 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 42 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 43 T(T(x,y),z) = T(T(x,z),y) # label("AIM-TT condition"). [assumption]. 44 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 45 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(44),flip(a)]. 46 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 47 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(46),flip(a)]. 48 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 49 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(48),flip(a)]. 50 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 51 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 52 K(c1,R(c2,c3,c4)) != K(c1,L(c2,c3,c4)) # label("KRKL") # answer("KRKL"). [deny(10)]. 58 x * (1 * 1) = x. [para(16(a,2),17(a,1,2))]. 59 1 \ x = x. [para(16(a,1),18(a,1,2))]. 60 x \ x = 1. [para(17(a,1),18(a,1,2))]. 61 x \ (x * (y \ (y * z))) = z. [para(18(a,2),18(a,1))]. 62 (x * (x \ 1)) * y = y. [para(19(a,2),16(a,1,1))]. 63 x * (x \ (1 * y)) = y. [para(19(a,2),16(a,1))]. 64 x * (y * (y \ 1)) = x. [para(19(a,2),17(a,1,2))]. 65 x \ (y * (y \ (x * z))) = z. [para(19(a,2),18(a,1,2))]. 66 x * (y * (y \ (x \ z))) = z. [para(19(a,2),19(a,1,2))]. 67 x / x = 1. [para(16(a,1),20(a,1,1))]. 68 x / 1 = x. [para(17(a,1),20(a,1,1))]. 69 x * (((x \ y) * z) / z) = y. [para(20(a,2),19(a,1,2))]. 70 x / (y \ x) = y. [para(19(a,1),20(a,1,1))]. 71 ((1 / x) * x) * y = y. [para(21(a,2),16(a,1,1))]. 72 x * ((1 / y) * y) = x. [para(21(a,2),17(a,1,2))]. 73 (x / y) \ x = y. [para(21(a,1),18(a,1,2))]. 74 x \ (((x * y) / z) * z) = y. [para(21(a,2),18(a,1,2))]. 75 (x \ (x * (y / z))) * z = y. [para(18(a,2),21(a,1,1))]. 76 ((x * (x \ y)) / z) * z = y. [para(21(a,2),19(a,1))]. 77 (((x * y) / z) * z) / y = x. [para(21(a,2),20(a,1,1))]. 78 (((x / y) / z) * z) * y = x. [para(21(a,2),21(a,1,1))]. 79 x != y | 1 * z != y | z = x. [para(16(a,1),22(a,1))]. 80 x != y | z * u != y | z \ x = u. [para(19(a,1),22(a,1)),flip(c)]. 81 x != y | z * u != y | x / u = z. [para(21(a,1),23(a,1)),flip(c)]. 82 1 * x != y | y = x. [para(16(a,1),24(a,1)),flip(a)]. 83 1 * x != y | x = y. [para(16(a,1),24(a,2))]. 84 x * y != x | 1 = y. [para(17(a,1),24(a,1)),flip(a)]. 85 (x * y) * 1 != x * z | z = y. [para(17(a,2),24(a,2)),flip(a)]. 86 x \ (x * (y * z)) != y * u | u = z. [para(18(a,2),24(a,2)),flip(a)]. 87 x * y != z | x \ z = y. [para(19(a,1),24(a,1)),flip(a)]. 88 x * (x \ (y * z)) != y * u | u = z. [para(19(a,2),24(a,2)),flip(a)]. 89 (x / y) * z != x | z = y. [para(21(a,1),24(a,2))]. 91 x * 1 != y | y = x. [para(17(a,1),25(a,1)),flip(a)]. 92 x * 1 != y | x = y. [para(17(a,1),25(a,2))]. 93 x \ (x * (y * z)) != u * z | u = y. [para(18(a,2),25(a,2)),flip(a)]. 94 x * (y \ z) != z | x = y. [para(19(a,1),25(a,2))]. 95 ((x * y) * z) / z != u * y | u = x. [para(20(a,2),25(a,2)),flip(a)]. 96 x * y != z | z / y = x. [para(21(a,1),25(a,1)),flip(a)]. 97 x * (y * (y \ z)) = x * z. [hyper(26,a,19,a)]. 98 ((x / y) * y) * z = x * z. [hyper(27,a,21,a)]. 99 (x * (x \ y)) * z = y * z. [hyper(27,a,19,a)]. 100 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(29(a,2),19(a,1,2))]. 101 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(19(a,1),29(a,2,2,1)),flip(a)]. 102 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(21(a,1),29(a,2,1,2)),flip(a)]. 103 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(21(a,1),29(a,2,2,1)),flip(a)]. 104 (x * y) * K(y,x) = y * x. [para(31(a,2),19(a,1,2))]. 105 x \ ((y \ x) * y) = K(y \ x,y). [para(19(a,1),31(a,2,1)),flip(a)]. 106 ((x \ y) * x) \ y = K(x,x \ y). [para(19(a,1),31(a,2,2)),flip(a)]. 107 x \ (y * (x / y)) = K(y,x / y). [para(21(a,1),31(a,2,1)),flip(a)]. 108 (x * (y / x)) \ y = K(y / x,x). [para(21(a,1),31(a,2,2)),flip(a)]. 109 x \ (1 * (x * y)) = L(y,x,1). [para(16(a,1),33(a,2,1)),flip(a)]. 110 (x * 1) \ (x * y) = L(y,1,x). [para(16(a,1),33(a,2,2,2)),flip(a)]. 111 (x * y) \ (x * y) = L(1,y,x). [para(17(a,1),33(a,2,2,2)),flip(a)]. 112 (x * y) * L(z,y,x) = x * (y * z). [para(33(a,2),19(a,1,2))]. 113 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(19(a,1),33(a,2,1)),flip(a)]. 114 L(x \ y,x,z) = (z * x) \ (z * y). [para(19(a,1),33(a,2,2,2))]. 115 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(21(a,1),33(a,2,1)),flip(a)]. 116 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(21(a,1),33(a,2,2,2))]. 117 (x * y) / (x * y) = R(1,x,y). [para(16(a,1),35(a,2,1,1)),flip(a)]. 118 ((x * 1) * y) / y = R(x,1,y). [para(16(a,1),35(a,2,2)),flip(a)]. 119 (x * y) / (y * 1) = R(x,y,1). [para(17(a,1),35(a,2,1)),flip(a)]. 120 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(19(a,1),35(a,2,1,1))]. 121 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(19(a,1),35(a,2,1))]. 122 R(x,y,z) * (y * z) = (x * y) * z. [para(35(a,2),21(a,1,1))]. 123 R(x / y,y,z) = (x * z) / (y * z). [para(21(a,1),35(a,2,1,1))]. 124 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(21(a,1),35(a,2,2)),flip(a)]. 125 T(1,x) = x \ x. [para(16(a,1),37(a,2,2))]. 126 T(x,x) = x. [para(37(a,2),18(a,1))]. 127 x * T(y,x) = y * x. [para(37(a,2),19(a,1,2))]. 128 T(x,x \ y) = (x \ y) \ y. [para(19(a,1),37(a,2,2))]. 129 T(x / y,y) = y \ x. [para(21(a,1),37(a,2,2))]. 130 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(47(a,2),43(a,1,1)),flip(a)]. 131 x \ (1 \ (x * y)) = y. [hyper(22,a,19,a,b,59,a(flip)),flip(a)]. 132 (x * (x \ 1)) \ y = y. [para(19(a,2),59(a,1,1))]. 133 ((1 / x) * x) \ y = y. [para(21(a,2),59(a,1,1))]. 135 x / (y * (y \ 1)) = x. [para(19(a,2),68(a,1,2))]. 136 x / ((1 / y) * y) = x. [para(21(a,2),68(a,1,2))]. 137 T(T(x,y),x) = T(x,y). [para(126(a,1),43(a,1,1)),flip(a)]. 138 T(L(x,y,z),x) = L(x,y,z). [para(126(a,1),45(a,1,1)),flip(a)]. 139 x \ x = 1 * 1. [hyper(22,a,19,a,b,58,a),flip(a)]. 140 (x / (y \ x)) * z = y * z. [hyper(27,a,70,a)]. 141 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(29(a,2),70(a,1,2))]. 142 (x * y) / K(x,y) = y * x. [para(31(a,2),70(a,1,2))]. 143 (x * (y * z)) / L(z,y,x) = x * y. [para(33(a,2),70(a,1,2))]. 144 (x * y) / T(x,y) = y. [para(37(a,2),70(a,1,2))]. 145 x / (y / ((z \ x) \ y)) = z. [para(70(a,2),70(a,1,2))]. 146 ((x / y) \ x) * z = y * z. [hyper(27,a,73,a)]. 147 (x / (1 * y)) \ x = y. [hyper(22,a,16,a,b,73,a(flip)),flip(a)]. 148 x * ((y / (x \ z)) \ y) = z. [para(73(a,2),19(a,1,2))]. 149 R(x,y,z) \ ((x * y) * z) = y * z. [para(35(a,2),73(a,1,1))]. 150 ((x / (y / z)) \ x) \ y = z. [para(73(a,2),73(a,1,1))]. 151 T(1,x) = 1. [para(125(a,2),60(a,1))]. 152 K(1,x) = 1. [hyper(41,a,151,a)]. 153 T(x,1) = x. [hyper(40,a,151,a)]. 155 K(x,1) = 1. [hyper(41,a,153,a)]. 157 x \ x != y | 1 = y. [para(139(a,2),82(a,1)),flip(b)]. 158 ((1 / x) * x) * y != z | y = z. [para(21(a,2),83(a,1,1))]. 159 x * (y * (y \ 1)) != z | z = x. [para(19(a,2),91(a,1,2))]. 160 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(62(a,1),35(a,2,1))]. 161 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(64(a,1),29(a,2,1)),flip(a)]. 162 L(x \ 1,x,y) = (y * x) \ y. [para(64(a,1),33(a,2,2))]. 163 R(1 / x,x,y) = y / (x * y). [para(71(a,1),35(a,2,1))]. 164 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(72(a,1),29(a,2,1)),flip(a)]. 165 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(72(a,1),33(a,2,2))]. 166 T((x * y) / x,x) = y. [hyper(22,a,21,a(flip),b,127,a)]. 167 (x * T(y,x)) / x = y. [hyper(23,a,21,a,b,127,a(flip)),flip(a)]. 168 x \ (y * T(x,y)) = y. [hyper(22,a,19,a,b,127,a(flip)),flip(a)]. 169 (x \ y) * T(x,x \ y) = y. [para(127(a,2),19(a,1))]. 170 x * (y * (y \ T(z,x))) = z * x. [para(19(a,2),127(a,1,2))]. 171 x * T(y / x,x) = y. [para(127(a,2),21(a,1))]. 172 x * y != z | y * u != z | T(x,y) = u. [para(127(a,1),22(a,1)),flip(c)]. 173 x * y != z * x | T(z,x) = y. [para(127(a,1),24(a,1)),flip(a)]. 174 x * T(y,x) != z * x | z = y. [para(127(a,2),25(a,2)),flip(a)]. 175 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(127(a,1),29(a,2,1,2)),flip(a)]. 176 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(127(a,1),29(a,2,2,1)),flip(a)]. 177 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(127(a,1),31(a,2,1)),flip(a)]. 178 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(127(a,1),33(a,2,1)),flip(a)]. 179 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(127(a,1),33(a,2,2,2)),flip(a)]. 180 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(127(a,1),35(a,2,1,1)),flip(a)]. 181 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(127(a,1),35(a,2,2)),flip(a)]. 182 x * T(T(y,x),z) = T(y,z) * x. [para(43(a,1),127(a,1,2))]. 183 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(45(a,2),127(a,1,2))]. 184 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(47(a,2),127(a,1,2))]. 185 T(T(x / y,z),y) = T(y \ x,z). [para(129(a,1),43(a,1,1)),flip(a)]. 186 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(129(a,1),45(a,1,1)),flip(a)]. 187 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(129(a,1),47(a,1,1)),flip(a)]. 188 T(x / (x / y),x / y) = y. [para(129(a,2),73(a,1))]. 189 K(x \ 1,x) = (x \ 1) * x. [para(132(a,1),31(a,2))]. 190 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(132(a,1),33(a,2)),flip(a)]. 191 K(x,1 / x) = x * (1 / x). [para(133(a,1),31(a,2))]. 192 (1 / x) * (x * y) = L(y,x,1 / x). [para(133(a,1),33(a,2)),flip(a)]. 193 (x * y) * (y \ 1) = R(x,y,y \ 1). [para(135(a,1),35(a,2)),flip(a)]. 194 (x * (1 / y)) * y = R(x,1 / y,y). [para(136(a,1),35(a,2)),flip(a)]. 195 K(T(x,y),x) = 1. [hyper(41,a,137,a)]. 196 T(x,T(x,y)) = x. [hyper(40,a,137,a)]. 197 T(T(T(x,y),z),x) = T(T(x,y),z). [para(137(a,1),43(a,1,1)),flip(a)]. 198 T(x,y) * x = x * T(x,y). [para(137(a,1),127(a,1,2)),flip(a)]. 199 x / T(y,y \ x) = y \ x. [para(19(a,1),144(a,1,1))]. 200 (T(x,y) * z) / T(T(x,z),y) = z. [para(43(a,1),144(a,1,2))]. 201 (x / (1 * y)) * y = x. [para(147(a,1),19(a,1,2))]. 202 T(T((x * y) / x,z),x) = T(y,z). [para(166(a,1),43(a,1,1)),flip(a)]. 203 K(x,(y * x) / y) = 1. [para(166(a,1),195(a,1,1))]. 204 T((x * y) / x,y) = (x * y) / x. [para(166(a,1),196(a,1,2))]. 205 (x * T(T(y,x),z)) / x = T(y,z). [para(43(a,1),167(a,1,1,2))]. 206 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(45(a,2),168(a,1,2,2))]. 207 T(x,(y * x) / y) = x. [hyper(42,a,203,a)]. 208 x * K(y,z) != y * z | z * y = x. [para(31(a,2),94(a,1,2)),flip(b)]. 209 x * L(y,z,u) != u * (z * y) | u * z = x. [para(33(a,2),94(a,1,2)),flip(b)]. 211 x != y | y / 1 = x. [para(17(a,1),96(a,1))]. 212 (x / y) \ x = y / 1. [hyper(211,a,73,a),flip(a)]. 213 x * (x \ y) = y / 1. [hyper(211,a,19,a),flip(a)]. 214 x / 1 = 1 * x. [hyper(211,a,16,a)]. 215 x / 1 != y | y = x. [para(214(a,2),82(a,1))]. 216 x / 1 != y | x = y. [para(214(a,2),83(a,1))]. 217 x / (y * (y \ 1)) != z | z = x. [para(19(a,2),215(a,1,2))]. 218 x / ((1 / y) * y) != z | z = x. [para(21(a,2),215(a,1,2))]. 219 (x / y) \ x != z | z = y. [para(212(a,2),215(a,1))]. 220 x * (x \ y) != z | z = y. [para(213(a,2),215(a,1))]. 221 (x / y) \ x = z * (z \ y). [para(213(a,2),212(a,2))]. 222 x \ (x * y) != z | z = y. [para(20(a,1),219(a,1,1))]. 223 x \ (y * x) != z | T(y,x) = z. [para(144(a,1),219(a,1,1)),flip(b)]. 224 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(33(a,2),220(a,1,2)),flip(b)]. 225 x * T(y,x) != z | y * x = z. [para(37(a,2),220(a,1,2)),flip(b)]. 226 (x / y) * y != z | z = x. [para(73(a,1),220(a,1,2))]. 227 (x * (x \ 1)) \ y != z | z = y. [para(62(a,1),220(a,1))]. 228 ((1 / x) * x) \ y != z | z = y. [para(71(a,1),220(a,1))]. 229 x * y != z | y * T(x,y) = z. [para(168(a,1),220(a,1,2)),flip(b)]. 230 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(35(a,2),226(a,1,1)),flip(b)]. 231 x \ (y * (y \ x)) = 1. [para(17(a,1),65(a,1,2,2,2))]. 232 (x / y) \ (z * (z \ x)) = y. [para(21(a,1),65(a,1,2,2,2))]. 233 x \ ((x * y) * L(z,y,x)) = y * z. [para(33(a,2),65(a,1,2,2))]. 234 x * (x \ y) = y * 1. [para(231(a,1),19(a,1,2)),flip(a)]. 235 x * 1 != y * z | y \ x = z. [para(234(a,1),24(a,1))]. 237 (x / y) * y = x * 1. [para(73(a,1),234(a,1,2))]. 239 x * 1 != y * z | x / z = y. [para(237(a,1),25(a,1))]. 240 (x / y) * y = z * (z \ x). [para(237(a,2),234(a,2)),flip(a)]. 241 L(x \ (y \ z),x,y) = (y * x) \ z. [para(66(a,1),33(a,2,2))]. 242 x * (x \ (y * z)) = y * (u * (u \ z)). [para(65(a,1),66(a,1,2,2,2)),flip(a)]. 243 ((1 * x) / y) \ x = y. [para(74(a,1),131(a,1,2))]. 246 ((x * (x \ y)) / z) \ y = z. [hyper(87,a,76,a)]. 247 (x / y) * y = 1 * x. [para(63(a,1),76(a,1,1,1))]. 248 1 * x != y * z | x / z = y. [para(247(a,1),25(a,1))]. 249 (x / ((y / z) * z)) * y = x. [para(247(a,2),201(a,1,1,2))]. 250 (((x / y) * y) / z) \ x = z. [para(247(a,2),243(a,1,1,1))]. 251 ((x / y) * y) / z = x / z. [para(21(a,1),77(a,1,1,1,1))]. 252 (R(x,y,z) * (y * z)) / z = x * y. [para(35(a,2),77(a,1,1,1))]. 253 R((x / y) / z,z,y) = x / (z * y). [para(78(a,1),35(a,2,1))]. 254 ((x / y) * y) * (x \ z) = z. [para(70(a,1),78(a,1,1,1,1))]. 255 x != y | z != y | z = x. [para(16(a,1),79(b,1))]. 256 (x * y) / y = z / (x \ z). [hyper(255,a,70,a,b,20,a)]. 257 x / (y \ x) = z * (z \ y). [hyper(255,a,70,a,b,19,a),flip(a)]. 258 (x * y) / y = (x / z) * z. [hyper(255,a,21,a,b,20,a)]. 259 x \ (x * y) = z * (z \ y). [hyper(255,a,19,a,b,18,a)]. 260 (x / (y * (y \ z))) * z = x. [hyper(226,a,97,a)]. 261 x * y != z * y | (z / u) * u = x. [para(98(a,1),25(a,2)),flip(b)]. 263 x * K(y \ x,y) = (y \ x) * y. [hyper(255,a,99,a(flip),b,104,a(flip)),flip(a)]. 264 x * K(y,x / y) = y * (x / y). [hyper(255,a,98,a(flip),b,104,a(flip)),flip(a)]. 265 (x * y) * z != y * x | K(y,x) = z. [para(104(a,1),24(a,1)),flip(a)]. 266 (x * y) * K(y,x) != y * z | z = x. [para(104(a,2),24(a,2)),flip(a)]. 267 (x * y) \ ((y * x) * (K(x,y) * z)) = L(z,K(x,y),y * x). [para(104(a,1),33(a,2,1)),flip(a)]. 268 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(104(a,1),33(a,2,2,2)),flip(a)]. 269 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(104(a,1),35(a,2,1)),flip(a)]. 270 K(x,y) \ (x * y) = T(y * x,K(x,y)). [para(104(a,1),37(a,2,2)),flip(a)]. 271 (x * y) / T(y * x,K(x,y)) = K(x,y). [para(104(a,1),144(a,1,1))]. 272 (x * y) \ (y * x) != z | K(y,x) = z. [para(104(a,1),222(a,1,2)),flip(b)]. 273 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(27,a,128,a)]. 274 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(26,a,128,a)]. 275 (x \ y) \ y = z * (z \ T(x,x \ y)). [hyper(255,a,19,a,b,128,a(flip))]. 276 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(128(a,1),43(a,1,1)),flip(a)]. 277 T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). [para(128(a,1),45(a,1,1)),flip(a)]. 278 T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. [para(128(a,2),128(a,1,2))]. 279 T(x,L(x,y,z)) = x. [hyper(40,a,138,a)]. 280 K(x,L(x,y,z)) = 1. [hyper(41,a,279,a)]. 281 x / K(y,y \ x) = (y \ x) * y. [para(19(a,1),142(a,1,1))]. 282 ((x / y) \ x) * (y \ z) = z. [hyper(255,a,19,a(flip),b,146,a)]. 283 x * (((y / x) \ y) \ z) = z. [hyper(220,a,146,a)]. 284 ((x / y) \ x) * z != u | y \ u = z. [para(146(a,2),87(a,1))]. 285 (x / y) * ((z / y) \ z) = x. [para(73(a,1),148(a,1,2,1,2))]. 286 (x \ y) * z != y | T(x,x \ y) = z. [para(169(a,1),24(a,1)),flip(a)]. 287 (x \ y) \ y != z | T(x,x \ y) = z. [para(169(a,1),222(a,1,2)),flip(b)]. 288 T(x / (x / y),(z / (x / y)) \ z) = y. [para(73(a,2),188(a,1,2))]. 289 x * T(x \ 1,x) = K(x \ 1,x). [hyper(255,a,127,a,b,189,a),flip(a)]. 290 (x \ 1) \ K(x \ 1,x) = x. [hyper(87,a,189,a(flip))]. 292 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(189(a,2),29(a,2,1,2)),flip(a)]. 293 (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). [para(189(a,2),35(a,2,1,1)),flip(a)]. 294 x \ K(x \ 1,x) = T(x \ 1,x). [para(189(a,2),37(a,2,2)),flip(a)]. 295 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(191(a,2),33(a,2,1)),flip(a)]. 296 (x / y) \ x != z * u | z \ y = u. [para(221(a,2),24(a,1))]. 297 x * (x \ y) != z * u | y / u = z. [para(232(a,1),94(a,1,2)),flip(a),flip(b)]. 298 x / (y \ ((x / z) * z)) = y. [hyper(23,a,148,a,b,240,a(flip))]. 300 R(x,y / z,z) * y = (x * (y / z)) * z. [para(35(a,2),249(a,1,1))]. 301 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(254(a,1),35(a,2,1))]. 302 (x / (y \ x)) * z != u | y * z = u. [para(256(a,1),226(a,1,1)),flip(b)]. 303 x / (y \ x) != z | z = y. [para(257(a,2),220(a,1))]. 304 (x * y) / y != z | z = x. [para(18(a,1),303(a,1,2))]. 305 (x * y) / T(x,y) != z | z = y. [para(37(a,2),303(a,1,2))]. 306 x / x != y | 1 = y. [para(59(a,1),303(a,1,2)),flip(b)]. 307 (x * y) / y != z * u | x / u = z. [para(258(a,2),25(a,1))]. 308 ((x / y) * y) * z != u | x * z = u. [para(258(a,1),226(a,1,1)),flip(b)]. 309 x \ (x * y) != z * u | z \ y = u. [para(259(a,2),24(a,1))]. 310 x * (y * (y \ z)) != u | x * z = u. [para(259(a,1),220(a,1,2)),flip(b)]. 311 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(35(a,2),260(a,1,1))]. 312 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(199(a,1),282(a,1,1,1))]. 313 x * ((y / z) \ y) != u | u / z = x. [para(285(a,1),25(a,1)),flip(a)]. 314 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(199(a,1),285(a,1,2,1))]. 315 (x \ 1) * x != y | K(x \ 1,x) = y. [para(290(a,1),220(a,1,2)),flip(b)]. 316 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [para(33(a,2),298(a,1,2))]. 317 x * y != x * z | z = y. [para(17(a,1),85(a,1))]. 318 x \ (x * y) = L(y,x,1). [para(16(a,1),109(a,1,2))]. 319 L(x,y,1) = x. [hyper(222,a,318,a)]. 321 x \ (x * y) = L(y,1,x). [para(17(a,1),110(a,1,1))]. 322 L(x,1,y) = x. [hyper(222,a,321,a)]. 323 L(x,1,y) != z | z = x. [para(321(a,1),222(a,1))]. 325 L(1,x,y) = 1. [hyper(157,a,111,a),flip(a)]. 328 R(1,x,y) = 1. [hyper(306,a,117,a),flip(a)]. 331 (x * y) / y = R(x,1,y). [para(17(a,1),118(a,1,1,1))]. 332 R(x,1,y) = x. [hyper(304,a,331,a)]. 335 (x * y) / y = R(x,y,1). [para(17(a,1),119(a,1,2))]. 336 R(x,y,1) = x. [hyper(304,a,335,a)]. 339 L(x \ 1,x,1 / x) = 1 / x. [hyper(255,a,133,a(flip),b,162,a)]. 340 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(26,a,162,a)]. 341 (x * y) * L(y \ 1,y,x) = x. [para(162(a,2),19(a,1,2))]. 342 L((x \ y) \ 1,x \ y,x) = y \ x. [para(19(a,1),162(a,2,1))]. 343 L(x \ 1,x,y / x) = y \ (y / x). [para(21(a,1),162(a,2,1))]. 344 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(162(a,1),45(a,2,1)),flip(a)]. 345 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(162(a,1),49(a,1,1))]. 346 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(162(a,1),50(a,1,1)),flip(a)]. 347 x / L(y \ 1,y,x) = x * y. [para(162(a,2),70(a,1,2))]. 348 R(1 / x,x,x \ 1) = x \ 1. [hyper(255,a,135,a(flip),b,163,a)]. 349 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(27,a,163,a)]. 350 R(1 / x,x,x \ y) = (x \ y) / y. [para(19(a,1),163(a,2,2))]. 351 R(1 / (x / y),x / y,y) = y / x. [para(21(a,1),163(a,2,2))]. 352 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(163(a,1),47(a,2,1)),flip(a)]. 353 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(163(a,1),51(a,1,1)),flip(a)]. 354 R(1 / x,x,y) \ y = x * y. [para(163(a,2),73(a,1,1))]. 355 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(127(a,1),173(a,2))]. 358 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(43(a,1),174(a,1,2)),flip(b)]. 359 T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. [para(127(a,1),223(a,1,2))]. 360 T(x,x \ y) \ y != z | T(x \ y,T(x,x \ y)) = z. [para(169(a,1),223(a,1,2))]. 361 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(43(a,1),225(a,1,2))]. 362 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(45(a,2),225(a,1,2))]. 363 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(47(a,2),225(a,1,2))]. 364 K(x \ 1,x) != y | (x \ 1) * x = y. [para(31(a,2),227(a,1)),flip(b)]. 365 K(x,1 / x) != y | x * (1 / x) = y. [para(31(a,2),228(a,1)),flip(b)]. 366 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(33(a,2),228(a,1)),flip(b)]. 367 x * (y * (y \ 1)) != z * u | z \ x = u. [para(19(a,2),235(a,1,2))]. 368 x * (x \ y) != z * u | z \ y = u. [para(234(a,2),235(a,1))]. 369 (x / y) * y != z * u | x / u = z. [para(237(a,2),239(a,1))]. 371 ((1 / x) * x) * y != z * u | y / u = z. [para(21(a,2),248(a,1,1))]. 372 L(T(x \ 1,y),x,1 / x) = T(1 / x,y). [para(339(a,1),45(a,2,1))]. 374 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(341(a,1),222(a,1,2)),flip(b)]. 375 x / L(y,1 / y,x) = x * (1 / y). [para(73(a,1),347(a,1,2,1))]. 376 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(347(a,1),282(a,1,1,1))]. 377 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(347(a,1),283(a,1,2,1,1))]. 378 R(T(1 / x,y),x,x \ 1) = T(x \ 1,y). [para(348(a,1),47(a,2,1))]. 379 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(70(a,1),354(a,1,1,1))]. 380 x / (y * x) != z | R(1 / y,y,x) = z. [para(354(a,1),303(a,1,2)),flip(b)]. 381 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(80,a,128,a,b,19,a)]. 382 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(80,a,33,a,b,133,a(flip))]. 383 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(80,a,33,a,b,132,a(flip))]. 384 (T(x,x \ y) / z) \ ((x \ y) \ y) = z. [hyper(80,a,128,a(flip),b,21,a)]. 385 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(81,a,35,a,b,135,a(flip))]. 386 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(81,a,162,a(flip),b,16,a)]. 387 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(18(a,1),105(a,2,1)),flip(a)]. 388 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(127(a,2),105(a,1,2))]. 390 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(189(a,2),106(a,1,1))]. 391 K(x,1 / x) \ 1 = K(1 / x,x). [para(191(a,2),108(a,1,1))]. 392 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(170(a,1),33(a,2,2))]. 393 T(x,y) * z != z * u | T(T(x,z),y) = u. [para(182(a,1),24(a,1))]. 394 x * T(x \ (y * x),z) = T(y,z) * x. [para(37(a,1),182(a,1,2,1))]. 395 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(43(a,1),182(a,1,2,1))]. 396 T(x / y,z) * y = y * T(y \ x,z). [para(129(a,1),182(a,1,2,1)),flip(a)]. 397 T((x * y) / x,z) * x = x * T(y,z). [para(166(a,1),182(a,1,2,1)),flip(a)]. 398 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(128(a,1),182(a,1,2,1))]. 399 T(x / (x / y),z) * (x / y) = (x / y) * T(y,z). [para(188(a,1),182(a,1,2,1)),flip(a)]. 400 (x * T(x \ y,z)) / x = T(y / x,z). [para(185(a,1),167(a,1,1,2))]. 401 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(185(a,1),225(a,1,2))]. 402 T(x,T(T(x,y),z)) = x. [hyper(40,a,197,a)]. 403 K(x,T(T(x,y),z)) = 1. [hyper(41,a,402,a)]. 404 (x * T(y,z)) / x = T((x * y) / x,z). [para(202(a,1),167(a,1,1,2))]. 405 T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). [para(128(a,1),202(a,1,1))]. 407 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(188(a,1),205(a,1,1,2,1))]. 408 (x \ y) * x != y * z | K(x \ y,x) = z. [para(263(a,1),24(a,1))]. 409 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(263(a,1),33(a,2,2,2)),flip(a)]. 410 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(263(a,1),222(a,1,2)),flip(b)]. 412 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(264(a,1),222(a,1,2)),flip(b)]. 413 x * T(x \ 1,x) != y | K(x \ 1,x) = y. [para(294(a,1),220(a,1,2)),flip(b)]. 415 (x * y) * L(z,y,x) != x * u | y * z = u. [para(33(a,2),88(a,1,2)),flip(b)]. 416 x \ (x * y) != z * u | y / u = z. [para(21(a,1),93(a,1,2,2)),flip(b)]. 417 (x * y) / L(z \ y,z,x) = x * z. [hyper(81,a,97,a(flip),b,112,a)]. 418 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(255,a,99,a(flip),b,112,a(flip)),flip(a)]. 419 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(255,a,98,a(flip),b,112,a(flip)),flip(a)]. 421 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(80,a,112,a(flip),b,127,a)]. 422 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(112(a,1),24(a,1)),flip(a)]. 423 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(112(a,1),33(a,2,1)),flip(a)]. 424 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(112(a,1),33(a,2,2,2)),flip(a)]. 425 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(112(a,1),35(a,2,1,1)),flip(a)]. 427 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(45(a,1),112(a,1,2))]. 428 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(49(a,2),112(a,1,2))]. 429 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(50(a,1),112(a,1,2))]. 430 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(127(a,1),112(a,1,1))]. 431 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(112(a,1),222(a,1,2)),flip(b)]. 432 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(112(a,1),104(a,1,1))]. 433 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(189(a,2),112(a,1,1))]. 434 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(112(a,1),158(a,1))]. 435 L(x \ (y * x),x,y) = T(y,y * x). [hyper(255,a,37,a,b,114,a)]. 436 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(255,a,133,a(flip),b,114,a)]. 437 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(255,a,132,a(flip),b,114,a)]. 438 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(255,a,107,a(flip),b,114,a)]. 439 L((x \ y) \ z,x \ y,x) = y \ (x * z). [para(19(a,1),114(a,2,1))]. 440 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(21(a,1),114(a,2,1))]. 441 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(29(a,2),114(a,1,1)),flip(a)]. 442 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(114(a,1),45(a,2,1)),flip(a)]. 443 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(127(a,1),114(a,2,1))]. 444 L(K(x,y) \ z,K(x,y),y * x) = (x * y) \ ((y * x) * z). [para(104(a,1),114(a,2,1))]. 446 x / L(y \ z,y,x / z) = (x / z) * y. [para(114(a,2),298(a,1,2))]. 447 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(114(a,2),227(a,1)),flip(b)]. 448 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(112(a,1),114(a,2,1))]. 449 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(112(a,1),114(a,2,2))]. 450 R(x / y,y,x \ z) \ z = y * (x \ z). [hyper(80,a,254,a(flip),b,122,a)]. 451 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(80,a,99,a(flip),b,122,a)]. 452 R(x / y,y,z) \ (x * z) = y * z. [hyper(80,a,98,a(flip),b,122,a)]. 453 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(80,a,122,a(flip),b,112,a)]. 454 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(122(a,1),25(a,1))]. 456 ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). [para(122(a,1),31(a,2,1)),flip(a)]. 457 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(122(a,1),35(a,2,1,1)),flip(a)]. 458 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(122(a,1),35(a,2,2)),flip(a)]. 459 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(47(a,1),122(a,1,1))]. 460 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(49(a,1),122(a,1,1))]. 461 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(51(a,1),122(a,1,1))]. 462 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(127(a,1),122(a,1,2))]. 464 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(104(a,1),122(a,1,2))]. 465 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(189(a,2),122(a,1,2))]. 466 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(122(a,1),304(a,1,1)),flip(b)]. 467 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(122(a,2),304(a,1,1)),flip(b)]. 468 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(122(a,1),159(a,1)),flip(b)]. 470 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(122(a,1),122(a,1,2))]. 471 R(x / (1 / y),1 / y,y) = x * y. [hyper(255,a,136,a(flip),b,123,a)]. 472 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(255,a,135,a(flip),b,123,a)]. 473 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(19(a,1),123(a,2,2))]. 474 R(x / (y / z),y / z,z) = (x * z) / y. [para(21(a,1),123(a,2,2))]. 475 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(123(a,1),47(a,2,1)),flip(a)]. 476 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(123(a,2),129(a,1,1))]. 477 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(198(a,1),123(a,2,2))]. 478 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(163(a,2),123(a,1,1))]. 479 R(x / (1 / y),1 / y,y) != z | x * y = z. [para(123(a,2),218(a,1)),flip(b)]. 480 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(122(a,1),123(a,2,1))]. 481 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(122(a,1),123(a,2,2))]. 482 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(123(a,2),123(a,1,1))]. 483 (x * y) / L(z,y / z,x) = x * (y / z). [para(21(a,1),143(a,1,1,2))]. 484 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(127(a,1),143(a,1,1,2))]. 485 (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). [para(104(a,1),143(a,1,1,2))]. 486 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(127(a,1),149(a,1,2,1))]. 487 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(104(a,1),149(a,1,2,1))]. 488 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(263(a,1),149(a,1,2,1))]. 489 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(112(a,1),149(a,1,2,1))]. 490 K(x,1 / x) \ x = L(x,1 / x,x). [para(191(a,2),165(a,2,1)),flip(a)]. 491 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(80,a,50,a,b,190,a)]. 492 x \ R(L(y,x \ 1,x),z,u) = (x \ 1) * R(y,z,u). [hyper(80,a,49,a,b,190,a)]. 493 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(80,a,45,a(flip),b,190,a)]. 494 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [para(127(a,1),190(a,1,2)),flip(a)]. 495 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(80,a,50,a,b,192,a)]. 496 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(127(a,1),192(a,1,2)),flip(a)]. 497 (1 / x) \ L(y,x,1 / x) != z | x * y = z. [para(192(a,1),222(a,1,2)),flip(b)]. 498 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(81,a,49,a(flip),b,193,a)]. 499 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(80,a,193,a(flip),b,127,a)]. 500 R(x,y,y \ 1) / (y \ 1) != z * y | z = x. [para(193(a,1),95(a,1,1))]. 501 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(81,a,51,a,b,194,a)]. 502 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(81,a,49,a(flip),b,194,a)]. 503 K(x,1 / x) * x = R(x,1 / x,x). [para(191(a,2),194(a,1,1))]. 505 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(241(a,1),45(a,2,1))]. 506 L(R(x \ (y \ z),u,w),x,y) = R((y * x) \ z,u,w). [para(241(a,1),49(a,1,1)),flip(a)]. 507 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(241(a,1),50(a,1,1)),flip(a)]. 508 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(73(a,1),241(a,1,1))]. 510 R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w. [para(35(a,2),296(a,1,1))]. 514 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(259(a,1),297(a,1,2))]. 519 (x * (x \ y)) * z != u | y * z = u. [para(257(a,1),302(a,1,1))]. 520 (((x * y) / z) * z) / y != u * w | x / w = u. [para(21(a,2),307(a,1,1))]. 523 (x / y) \ (z * (z \ x)) != u * w | u \ y = w. [para(240(a,1),309(a,1,2))]. 524 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(342(a,1),279(a,1,2))]. 525 K((x \ y) \ 1,y \ x) = 1. [para(342(a,1),280(a,1,2))]. 526 K(((x * y) \ x) \ 1,y) = 1. [para(18(a,1),525(a,1,2))]. 527 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(343(a,1),45(a,2,1)),flip(a)]. 528 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(350(a,1),47(a,2,1)),flip(a)]. 529 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(350(a,2),123(a,1,1))]. 530 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(19(a,2),368(a,1,2))]. 533 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(259(a,1),368(a,1,2))]. 534 (((x / y) / z) * z) * y != u * w | x / w = u. [para(21(a,2),369(a,1,1))]. 535 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(258(a,1),369(a,1,1))]. 537 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(383(a,1),220(a,1,2)),flip(b)]. 540 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(341(a,1),416(a,1,2))]. 541 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(122(a,1),416(a,1,2))]. 542 L(T(x,y),y,x) = T(x,x * y). [para(37(a,2),435(a,1,1))]. 543 T(L(x,y,x),y) = T(x,x * y). [hyper(255,a,45,a(flip),b,542,a(flip)),flip(a)]. 544 L(T(T(x,y),z),y,x) = T(T(x,x * y),z). [para(542(a,1),45(a,2,1))]. 545 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(542(a,1),49(a,1,1)),flip(a)]. 546 L(L(T(x,y),z,u),y,x) = L(T(x,x * y),z,u). [para(542(a,1),50(a,1,1)),flip(a)]. 547 x * T(y,y * x) = L(y,x,y) * x. [para(543(a,1),127(a,1,2))]. 548 (x * T(y,y * x)) / x = L(y,x,y). [para(543(a,1),167(a,1,1,2))]. 550 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(436(a,1),45(a,2,1))]. 551 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(436(a,1),49(a,1,1)),flip(a)]. 552 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(437(a,1),45(a,2,1))]. 553 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(437(a,1),279(a,1,2))]. 554 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(471(a,1),47(a,2,1))]. 555 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(472(a,1),47(a,2,1))]. 556 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(472(a,1),51(a,1,1)),flip(a)]. 557 K(x,1 / x) * L(x,1 / x,x) = x. [para(490(a,1),19(a,1,2))]. 559 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(19(a,1),547(a,1,2,2)),flip(a)]. 561 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(127(a,1),547(a,1,2,2)),flip(a)]. 562 ((x \ y) * T(x,y)) / (x \ y) = L(x,x \ y,x). [para(19(a,1),548(a,1,1,2,2))]. 563 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(557(a,1),24(a,1)),flip(a)]. 564 T(x / y,(z / y) \ z) = y \ x. [hyper(172,a,285,a,b,282,a)]. 565 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(255,a,112,a(flip),b,183,a(flip)),flip(a)]. 566 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [hyper(80,a,183,a(flip),b,112,a(flip))]. 568 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(183(a,1),29(a,2,1,2)),flip(a)]. 569 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(47(a,2),183(a,1,2,1))]. 570 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(129(a,1),183(a,1,2,1)),flip(a)]. 571 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(166(a,1),183(a,1,2,1)),flip(a)]. 572 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(128(a,1),183(a,1,2,1))]. 573 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(255,a,122,a(flip),b,184,a)]. 574 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(80,a,122,a(flip),b,184,a)]. 576 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(43(a,1),184(a,1,2,1))]. 577 R(x,y,z) * x = x * R(x,y,z). [para(126(a,1),184(a,1,2,1)),flip(a)]. 578 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(129(a,1),184(a,1,2,1)),flip(a)]. 579 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(137(a,1),184(a,1,2,1)),flip(a)]. 580 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(166(a,1),184(a,1,2,1)),flip(a)]. 581 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(128(a,1),184(a,1,2,1))]. 582 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(188(a,1),184(a,1,2,1)),flip(a)]. 583 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(542(a,2),184(a,1,2,1))]. 584 T(x,R(x,y,z)) = x. [hyper(173,a,577,a)]. 585 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(186(a,1),167(a,1,1,2))]. 586 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(187(a,1),167(a,1,1,2))]. 587 T(x / (y * x),y) = R(y \ 1,y,x). [para(163(a,1),187(a,1,1))]. 588 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(123(a,1),187(a,1,1))]. 589 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(253(a,1),187(a,1,1)),flip(a)]. 590 T((x \ y) / y,x) = R(x \ 1,x,x \ y). [para(350(a,1),187(a,1,1))]. 591 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(351(a,1),187(a,1,1)),flip(a)]. 592 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(472(a,1),187(a,1,1)),flip(a)]. 593 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(587(a,1),127(a,1,2)),flip(a)]. 594 x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. [para(587(a,1),225(a,1,2))]. 595 ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). [hyper(225,a,273,a),flip(a)]. 597 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). [hyper(80,a,273,a(flip),b,112,a)]. 598 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(273(a,2),31(a,2,1)),flip(a)]. 599 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(273(a,2),33(a,2,1)),flip(a)]. 601 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(369,a,274,a),flip(a)]. 602 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(81,a,274,a,b,xx)]. 603 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). [hyper(80,a,274,a(flip),b,104,a)]. 605 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(275(a,2),310(a,1,2))]. 608 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(21(a,1),374(a,1,1))]. 609 K(x \ 1,x) \ (x \ 1) != y | L(x \ 1,x,x \ 1) = y. [para(189(a,2),374(a,1,1))]. 611 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(127(a,1),380(a,1,2))]. 612 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(191(a,2),380(a,1,2))]. 613 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(381(a,2),199(a,1,2,2))]. 614 K(x \ (x * y),x) = K(y,x). [hyper(255,a,105,a(flip),b,387,a),flip(a)]. 615 K(x \ (x * y),z) = K(y,z). [para(61(a,1),614(a,1,1)),flip(a)]. 616 K((x / y) \ x,z) = K(y,z). [para(21(a,1),615(a,1,1,2))]. 617 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(396(a,1),304(a,1,1)),flip(b)]. 618 T((x * y) / x,y * x) = L(y,x,y). [hyper(23,a,547,a(flip),b,397,a)]. 619 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(255,a,273,a(flip),b,397,a(flip)),flip(a)]. 620 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(397(a,1),304(a,1,1)),flip(b)]. 621 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(19(a,1),618(a,1,2))]. 622 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(618(a,1),43(a,1,1)),flip(a)]. 623 ((x * y) / x) * (y * x) = (y * x) * L(y,x,y). [para(618(a,1),127(a,1,2)),flip(a)]. 624 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(400(a,1),226(a,1,1)),flip(b)]. 626 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(404(a,2),127(a,1,2))]. 627 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(129(a,1),404(a,1,1,2)),flip(a)]. 628 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(404(a,1),226(a,1,1)),flip(b)]. 629 T(x * y,(x \ 1) \ y) = x * y. [hyper(40,a,553,a)]. 632 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(81,a,99,a(flip),b,100,a)]. 633 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(19(a,1),100(a,1,1,2))]. 634 x * a(x,y,y \ 1) = (x * y) * (y \ 1). [para(64(a,1),100(a,1,1))]. 635 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(127(a,1),100(a,1,1,2))]. 636 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(100(a,1),222(a,1,2)),flip(b)]. 637 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(122(a,1),100(a,1,1))]. 639 L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). [para(127(a,1),115(a,1,2,2)),flip(a)]. 641 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(120(a,2),246(a,1,1))]. 642 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(120(a,2),250(a,1,1))]. 643 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(193(a,1),161(a,1,2))]. 644 x * a(x,y,y \ 1) = R(x,y,y \ 1). [para(643(a,1),19(a,1,2))]. 646 x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(644(a,1),222(a,1,2)),flip(b)]. 647 x \ (K(x,1 / x) * x) = a(x,1 / x,x). [para(191(a,2),164(a,1,2,1))]. 648 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(194(a,1),164(a,1,2))]. 651 L(T(x,y),y,1 / y) != z | (1 / y) * (x * y) = z. [para(179(a,1),228(a,1)),flip(b)]. 652 x * ((y * x) \ (y * (z * x))) = L(z,x,y) * x. [para(179(a,2),183(a,1,2))]. 653 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). [para(269(a,1),396(a,1,1,1)),flip(a)]. 654 L(R(x,y / z,z),u,w) * y = (L(x,u,w) * (y / z)) * z. [para(49(a,1),300(a,1,1))]. 655 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(49(a,1),311(a,1,1))]. 656 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(344(a,2),112(a,1,2))]. 657 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(220,a,349,a)]. 658 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(255,a,129,a(flip),b,352,a(flip))]. 659 T(x / (y * x),z) * (y * x) = (T(1 / y,z) * y) * x. [para(352(a,2),122(a,1,1))]. 660 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(128(a,1),358(a,1,2))]. 661 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(37(a,1),361(a,1,2,1))]. 662 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(255,a,129,a(flip),b,372,a)]. 663 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [hyper(80,a,372,a(flip),b,192,a)]. 664 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(173,a,376,a),flip(a)]. 665 T(x \ 1,y) / (x \ 1) = T(1 / x,y) * x. [hyper(81,a,378,a(flip),b,193,a)]. 666 K(x,y) = L(x \ T(x,y),x,y). [hyper(255,a,31,a,b,392,a),flip(a)]. 667 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(392(a,1),45(a,2,1))]. 669 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(127(a,2),410(a,1,2))]. 670 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(255,a,183,a(flip),b,418,a(flip))]. 671 x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z). [hyper(80,a,183,a(flip),b,418,a(flip))]. 672 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(418(a,1),24(a,1))]. 673 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(50(a,1),418(a,1,2))]. 674 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(418(a,1),222(a,1,2)),flip(b)]. 675 L(x \ y,x,y / x) = T(y / x,y). [hyper(172,a,97,a(flip),b,419,a),flip(a)]. 676 (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. [hyper(255,a,183,a(flip),b,419,a(flip))]. 677 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(439(a,1),45(a,2,1))]. 678 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(439(a,1),49(a,1,1)),flip(a)]. 679 R(x,T(y,x),(y * x) \ z) \ z = T(y,x) * ((y * x) \ z). [para(144(a,1),450(a,1,1,1))]. 680 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(451(a,1),303(a,1,2)),flip(b)]. 681 T(R(x / y,y,y \ z),z) = z \ (x * (y \ z)). [para(473(a,2),129(a,1,1))]. 682 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(474(a,1),47(a,2,1))]. 683 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(474(a,1),51(a,1,1)),flip(a)]. 685 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(474(a,1),187(a,1,1)),flip(a)]. 686 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(484(a,1),219(a,1,1)),flip(b)]. 687 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(255,a,662,a(flip),b,496,a(flip))]. 688 (1 / x) \ (x \ 1) = (x \ 1) * x. [hyper(80,a,662,a(flip),b,496,a(flip))]. 689 x * ((1 / x) * (y * x)) = L(y,x,1 / x) * x. [para(496(a,1),183(a,1,2))]. 690 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(73(a,1),687(a,1,2,1))]. 691 (1 / x) * K(x \ 1,x) = x \ 1. [para(189(a,2),687(a,1,2))]. 692 (1 / x) \ (x \ 1) = K(x \ 1,x). [hyper(255,a,189,a,b,688,a)]. 693 K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1). [hyper(80,a,691,a(flip),b,140,a(flip)),flip(a)]. 694 (x \ 1) \ ((1 / x) * (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [para(691(a,1),33(a,2,1)),flip(a)]. 695 K(x \ 1,x) * y != x \ 1 | T(1 / x,K(x \ 1,x)) = y. [para(691(a,1),173(a,2))]. 696 (x \ 1) * L(y,K(x \ 1,x),1 / x) = (1 / x) * (K(x \ 1,x) * y). [para(691(a,1),112(a,1,1))]. 697 (x * (y \ 1)) / L(K(y \ 1,y),1 / y,x) = x * (1 / y). [para(691(a,1),143(a,1,1,2))]. 699 x / L(K(y \ 1,y),1 / y,x / (y \ 1)) = (x / (y \ 1)) * (1 / y). [para(692(a,1),446(a,1,2,1))]. 702 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(544(a,1),112(a,1,2))]. 703 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(18(a,1),588(a,2,1)),flip(a)]. 704 T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). [para(588(a,1),185(a,1,1))]. 705 T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. [para(589(a,1),122(a,1,1))]. 706 T((x \ y) / y,x) * y = ((x \ 1) * x) * (x \ y). [para(590(a,2),311(a,1,1))]. 707 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(18(a,1),592(a,1,1)),flip(a)]. 708 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(21(a,1),593(a,1,1,2)),flip(a)]. 709 R(x \ 1,x,y) \ ((y / (x * y)) * x) != z | T(x,R(x \ 1,x,y)) = z. [para(593(a,2),223(a,1,2))]. 710 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(593(a,1),272(a,1,1))]. 711 T(K(x,1 / x),x) = a(x,1 / x,x). [hyper(223,a,647,a)]. 713 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(19(a,1),657(a,1,1,2))]. 714 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(703(a,2),127(a,1,2)),flip(a)]. 715 T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). [para(136(a,1),703(a,2,1)),flip(a)]. 716 T(R(x,y,x),y * x) = T(x,y). [para(703(a,2),202(a,1,1))]. 717 R(x,y,x) * (y * x) = (y * x) * T(x,y). [para(703(a,2),397(a,1,1))]. 718 R(T(x,y * x),y,x) = T(x,y). [hyper(255,a,47,a,b,716,a(flip)),flip(a)]. 719 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(716(a,1),183(a,1,2,1)),flip(a)]. 720 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(716(a,1),184(a,1,2,1)),flip(a)]. 721 R(T(x,y),y / x,x) = T(x,y / x). [para(21(a,1),718(a,1,1,2))]. 722 x * R(T(y,x * y),x,y) = y * x. [para(718(a,2),127(a,1,2))]. 724 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(718(a,1),122(a,1,1)),flip(a)]. 725 R(x,1 / x,x) = T(x,1 / x). [para(153(a,1),721(a,1,1))]. 726 T(x,1 / x) / x = K(x,1 / x). [hyper(81,a,725,a(flip),b,503,a)]. 727 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(725(a,1),51(a,1,1)),flip(a)]. 728 x \ T(x,1 / x) = a(x,1 / x,x). [para(725(a,1),648(a,1,2))]. 729 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [para(707(a,1),167(a,1,1,2))]. 730 (x * y) * T(y,x) = (y * x) * y. [hyper(255,a,122,a(flip),b,717,a(flip))]. 731 (x * (y / x)) * x = y * T(x,y / x). [hyper(308,a,730,a),flip(a)]. 732 ((x \ 1) * x) \ x = T(x,x \ 1). [hyper(80,a,62,a(flip),b,730,a)]. 733 K(x \ 1,x) \ x = T(x,x \ 1). [para(189(a,2),732(a,1,1))]. 734 K(x \ 1,x) \ x = (x \ 1) \ 1. [hyper(255,a,128,a(flip),b,733,a)]. 735 K(x \ 1,x) * ((x \ 1) \ 1) = x. [para(734(a,1),19(a,1,2))]. 736 K(x,1 / x) \ (1 / x) = ((1 / x) \ 1) \ 1. [para(73(a,1),734(a,1,1,1))]. 737 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(255,a,47,a,b,130,a),flip(a)]. 739 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(49(a,2),224(a,1,2))]. 741 K(x \ 1,x) * L(y,x,x \ 1) != z | (x \ 1) * (x * y) = z. [para(189(a,2),224(a,1,1))]. 747 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(127(a,1),230(a,1,2))]. 749 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(104(a,1),422(a,1,1)),flip(a)]. 751 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(66(a,1),431(a,1,2))]. 752 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(112(a,1),431(a,1,2,2))]. 754 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(100(a,1),431(a,1,2,2))]. 757 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(263(a,1),454(a,2,2))]. 758 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(691(a,1),454(a,2,2))]. 759 x / (y * z) != u | R((x / z) / y,y,z) = u. [para(78(a,1),466(a,1,1))]. 761 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(189(a,2),537(a,1,2))]. 762 L(1 / x,x,y) * x = x * ((y * x) \ y). [hyper(255,a,340,a(flip),b,570,a)]. 763 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [hyper(81,a,340,a(flip),b,570,a)]. 764 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(342(a,1),570(a,2,2))]. 765 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(19(a,1),763(a,1,1,2,1))]. 767 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(96,a,571,a),flip(a)]. 768 L((x * (y \ 1)) / x,y,z) = (x * ((z * y) \ z)) / x. [hyper(81,a,340,a(flip),b,571,a),flip(a)]. 769 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(81,a,112,a(flip),b,571,a),flip(a)]. 771 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(578(a,1),193(a,1,1))]. 772 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(269(a,1),578(a,1,1,1)),flip(a)]. 773 T(x,R(T(x,y),z,u)) = x. [hyper(173,a,579,a)]. 774 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(230,a,580,a)]. 775 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(96,a,580,a),flip(a)]. 777 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(81,a,580,a(flip),b,311,a(flip))]. 778 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(81,a,580,a(flip),b,122,a(flip))]. 780 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(585(a,1),226(a,1,1)),flip(b)]. 782 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(241(a,1),585(a,1,1,2)),flip(a)]. 784 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(666(a,2),585(a,1,1,2)),flip(a)]. 785 ((x \ y) * (y \ (x * z))) / (x \ y) = L(z / (x \ y),x \ y,x). [para(439(a,1),585(a,1,1,2))]. 786 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(33(a,2),586(a,1,1,2,1))]. 787 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(73(a,1),586(a,1,1,2,1))]. 788 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(586(a,1),226(a,1,1)),flip(b)]. 789 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(129(a,1),626(a,1,2,1,2)),flip(a)]. 790 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(128(a,1),626(a,1,2,1,2))]. 791 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(627(a,1),167(a,1,1,2))]. 792 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(627(a,1),168(a,1,2,2))]. 793 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(255,a,396,a(flip),b,665,a)]. 794 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(255,a,73,a(flip),b,690,a)]. 796 (1 / (1 / x)) * K(x,1 / x) = x. [para(191(a,2),794(a,1,2))]. 798 K(x,1 / x) \ (1 / x) = x \ 1. [para(73(a,1),736(a,2,1))]. 799 K(x,1 / x) * (x \ 1) = 1 / x. [para(798(a,1),19(a,1,2))]. 800 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(129(a,1),737(a,1,1,1)),flip(a)]. 801 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(767(a,2),226(a,1,1)),flip(b)]. 802 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(767(a,1),112(a,1,2))]. 803 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(343(a,1),767(a,2,1,2))]. 804 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(436(a,1),767(a,2,1,2))]. 805 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(437(a,1),767(a,2,1,2))]. 806 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(439(a,1),767(a,2,1,2))]. 807 R((x * y) / x,z,u) * x != w | x * R(y,z,u) = w. [para(775(a,2),226(a,1,1)),flip(b)]. 808 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(163(a,1),775(a,2,1,2))]. 809 ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. [para(775(a,1),122(a,1,1))]. 810 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(253(a,1),775(a,2,1,2))]. 812 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(471(a,1),775(a,2,1,2))]. 813 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(472(a,1),775(a,2,1,2))]. 814 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(775(a,1),230(a,1,1))]. 815 T(x * T(x \ 1,y),x \ 1) = (x \ 1) \ T(x \ 1,y). [para(793(a,1),129(a,1,1))]. 816 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(731(a,1),102(a,1,2))]. 817 R(x,y,(x * y) \ z) \ z != u | y * ((x * y) \ z) = u. [para(121(a,2),219(a,1,1)),flip(b)]. 818 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(255,a,404,a(flip),b,181,a(flip)),flip(a)]. 819 T(R(x,y,T(x,y)),x * y) = T(x,y). [para(181(a,1),166(a,1,1))]. 820 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(255,a,47,a,b,819,a(flip)),flip(a)]. 821 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(345(a,2),112(a,1,2))]. 822 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(255,a,114,a(flip),b,346,a)]. 823 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(339(a,1),346(a,1,1)),flip(a)]. 824 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(346(a,1),112(a,1,2))]. 826 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(19(a,1),823(a,1,1,1))]. 827 R(x / (y * x),z,u) * (y * x) = (R(1 / y,z,u) * y) * x. [para(353(a,1),122(a,1,1))]. 831 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(114(a,1),427(a,1,2,1))]. 832 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(241(a,1),427(a,1,2,1))]. 833 x * (y * T(y \ T(y,x),z)) = (x * y) * T(K(y,x),z). [para(666(a,2),427(a,1,2,1)),flip(a)]. 834 x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). [hyper(362,a,430,a),flip(a)]. 835 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [para(50(a,1),430(a,1,2))]. 836 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(345(a,2),430(a,1,2))]. 837 (x * y) * L((y * T(x,y)) \ y,z,u) = y * (T(x,y) * L(T(x,y) \ 1,z,u)). [para(346(a,1),430(a,1,2))]. 838 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(127(a,1),442(a,1,1,1)),flip(a)]. 839 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(442(a,2),224(a,1,2))]. 840 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(443(a,1),49(a,1,1)),flip(a)]. 841 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(443(a,1),50(a,1,1)),flip(a)]. 842 (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). [para(253(a,1),459(a,1,1,1)),flip(a)]. 843 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(820(a,1),462(a,1,1)),flip(a)]. 844 R(T((x * y) / x,z),x,y) * (x * y) = (x * y) * T(y,z). [para(475(a,1),397(a,1,1))]. 845 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(476(a,1),626(a,1,2,1,2)),flip(a)]. 846 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [para(476(a,1),737(a,2,1))]. 847 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(127(a,1),486(a,1,2))]. 848 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(437(a,1),493(a,1,2,1)),flip(a)]. 849 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(505(a,1),224(a,1,2))]. 851 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(527(a,2),419(a,1,2)),flip(a)]. 852 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(528(a,2),311(a,1,1))]. 854 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(546(a,1),112(a,1,2))]. 855 (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). [hyper(366,a,550,a)]. 856 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(255,a,496,a(flip),b,550,a(flip)),flip(a)]. 857 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(80,a,550,a(flip),b,192,a)]. 858 T((1 / x) * (x * y),x) = (1 / x) * (y * x). [para(18(a,1),856(a,1,2,1)),flip(a)]. 859 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(255,a,494,a(flip),b,552,a(flip)),flip(a)]. 860 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(80,a,552,a(flip),b,494,a(flip))]. 861 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(81,a,554,a(flip),b,194,a),flip(a)]. 862 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(81,a,555,a(flip),b,193,a)]. 864 ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). [para(196(a,1),562(a,1,1,2))]. 865 L(x,x \ y,x) * (x \ y) != z | (x \ y) * T(x,y) = z. [para(562(a,1),226(a,1,1)),flip(b)]. 866 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(162(a,1),565(a,2,1)),flip(a)]. 867 R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). [hyper(80,a,100,a(flip),b,573,a),flip(a)]. 868 (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. [para(573(a,1),24(a,1)),flip(a)]. 870 T(x / y,y / x) * y = (((y / x) \ 1) * (y / x)) * x. [para(591(a,1),300(a,1,1))]. 871 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(255,a,45,a,b,622,a)]. 872 L(((x * y) * x) / (x * y),y,x) = (y * x) / y. [hyper(23,a,571,a,b,623,a),flip(a)]. 873 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(70(a,1),624(a,1,1,1))]. 874 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(665(a,2),624(a,1))]. 875 T(x / (x / y),z) * (x / y) != u | (x / y) * T(y,z) = u. [para(21(a,1),628(a,1,1,1,1))]. 876 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(127(a,1),632(a,1,1))]. 877 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(81,a,633,a(flip),b,127,a)]. 878 x \ ((x / y) * ((y \ 1) * y)) = T(x \ (x / y),y). [hyper(255,a,527,a,b,639,a(flip))]. 880 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(342(a,1),671(a,1,2,1)),flip(a)]. 881 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [para(439(a,1),671(a,1,2,1)),flip(a)]. 882 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(255,a,47,a,b,681,a(flip)),flip(a)]. 884 ((x * T(y,x * y)) * y) / (x * y) = y. [hyper(23,a,722,a(flip),b,714,a)]. 885 (x * T(y,x * y)) * y = y * (x * y). [para(884(a,1),21(a,1,1)),flip(a)]. 886 (x * (y * x)) / x = y * T(x,y * x). [para(884(a,1),77(a,1,1,1))]. 887 T(x * T(y,x * y),y) = x * y. [hyper(172,a,885,a,b,xx)]. 890 T((x / y) * T(y,(x / y) * y),y) = x. [hyper(255,a,21,a(flip),b,887,a)]. 891 x \ ((y * (x * y)) / y) != z | T(y,x * y) = z. [para(886(a,2),222(a,1,2)),flip(b)]. 892 T((x / y) * T(y,x),y) = x. [para(21(a,1),890(a,1,1,2,2))]. 893 T(x * T(x \ y,y),x \ y) = y. [para(70(a,1),892(a,1,1,1))]. 894 (x / y) * T(y,x) = (y * x) / y. [para(892(a,1),167(a,1,1,2)),flip(a)]. 895 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [para(893(a,1),167(a,1,1,2))]. 896 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(172,a,894,a,b,19,a),flip(a)]. 897 ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). [hyper(81,a,894,a(flip),b,127,a)]. 899 T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z. [para(894(a,1),223(a,1,2))]. 900 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(347(a,1),894(a,1,1)),flip(a)]. 901 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(375(a,1),894(a,1,1)),flip(a)]. 902 T(x,y * T(y \ x,x)) = x. [para(895(a,1),207(a,1,2))]. 903 T(x,(x * y) * L(T(y \ 1,x),y,x)) = x. [para(344(a,1),902(a,1,2,2))]. 904 T(x,x * (y * T(y \ 1,x))) = x. [para(112(a,1),903(a,1,2))]. 905 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(21(a,1),782(a,2,1,2,1))]. 906 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(37(a,2),782(a,2,1,2))]. 907 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(177(a,1),782(a,2,1,2))]. 908 L(((x * y) * x) / (x * y),y,x) * y = y * x. [para(872(a,2),21(a,1,1))]. 909 (x \ (y * (z \ x))) * x = (T(y / z,x) * z) * (z \ x). [para(882(a,1),311(a,1,1))]. 910 (x * y) \ (x * ((((x * y) * x) / (x * y)) * y)) = x. [hyper(22,a,652,a,b,908,a(flip)),flip(a)]. 911 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [hyper(81,a,274,a(flip),b,399,a)]. 912 K((x * y) \ 1,x * y) \ ((((x * y) \ 1) * x) * y) != z | a((x * y) \ 1,x,y) = z. [para(189(a,2),636(a,1,1))]. 913 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [hyper(624,a,706,a),flip(a)]. 914 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(255,a,385,a,b,789,a(flip)),flip(a)]. 915 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(18(a,1),791(a,1,1,2,1,2))]. 916 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(791(a,1),226(a,1,1)),flip(b)]. 917 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(73(a,1),792(a,1,2,2,1,2))]. 918 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(123(a,1),800(a,1,1,1))]. 919 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(476(a,1),800(a,1,1)),flip(a)]. 920 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(172,a,843,a,b,xx)]. 922 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(661,a,848,a),flip(a)]. 923 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(87,a,848,a)]. 924 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(17(a,1),848(a,2,2,1))]. 925 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(19(a,1),848(a,2,2,1))]. 926 T(1 / (x \ 1),y) * (x \ 1) = x \ T(x,y). [hyper(401,a,924,a)]. 927 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(255,a,398,a(flip),b,924,a(flip)),flip(a)]. 928 (x / y) \ T(x / y,y) = (y \ x) * ((x / y) \ 1). [para(129(a,1),927(a,1,1)),flip(a)]. 929 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(927(a,1),178(a,1,2,2))]. 930 (1 / x) \ T((1 / x) * y,z) != u * w | u \ (x * T(x \ y,z)) = w. [para(855(a,1),309(a,1,2))]. 931 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(19(a,1),857(a,1,2,1)),flip(a)]. 933 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(21(a,1),860(a,1,2,1))]. 934 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(628,a,861,a),flip(a)]. 935 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(624,a,861,a)]. 936 (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). [hyper(80,a,861,a(flip),b,396,a(flip))]. 937 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [para(16(a,1),861(a,2,1,1))]. 938 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(129(a,1),861(a,1,1)),flip(a)]. 939 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(624,a,937,a)]. 940 (1 / x) * T(x,y) = T(x,y) / x. [hyper(255,a,399,a(flip),b,937,a(flip)),flip(a)]. 941 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(81,a,937,a(flip),b,399,a(flip))]. 942 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(80,a,937,a(flip),b,399,a(flip))]. 943 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(937(a,1),624(a,1))]. 944 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(172,a,940,a,b,19,a),flip(a)]. 945 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(255,a,274,a(flip),b,940,a(flip))]. 946 T(x / y,y) / (x / y) = (1 / (x / y)) * (y \ x). [para(129(a,1),940(a,1,2)),flip(a)]. 948 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(940(a,1),618(a,1,2))]. 949 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(608,a,944,a)]. 950 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(128(a,1),945(a,1,1)),flip(a)]. 951 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(255,a,396,a(flip),b,862,a)]. 952 (x / y) * ((y \ 1) * y) = x * T(x \ (x / y),y). [para(878(a,1),19(a,1,2)),flip(a)]. 953 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(255,a,387,a,b,880,a),flip(a)]. 954 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(80,a,387,a,b,880,a),flip(a)]. 955 x * ((((x * y) * x) / (x * y)) * y) = (x * y) * x. [para(910(a,1),19(a,1,2)),flip(a)]. 956 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(189(a,2),913(a,1,1))]. 957 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [para(922(a,1),19(a,1,2)),flip(a)]. 958 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(923(a,1),220(a,1,2)),flip(b)]. 959 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(81,a,925,a(flip),b,396,a)]. 960 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [para(129(a,1),928(a,1,2)),flip(a)]. 961 ((x * y) / x) \ (x \ (x * y)) = y * (((x * y) / x) \ 1). [para(18(a,1),960(a,1,1)),flip(a)]. 962 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(960(a,1),24(a,1))]. 963 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(931(a,1),388(a,1,2))]. 965 (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). [para(21(a,1),936(a,1,2,1,1))]. 966 (1 / x) * T((1 / x) \ y,z) != u | T(y * x,z) / x = u. [para(936(a,1),220(a,1,2)),flip(b)]. 967 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(21(a,1),938(a,1,1,1)),flip(a)]. 968 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [para(129(a,1),946(a,1,1)),flip(a)]. 969 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(172,a,968,a,b,19,a),flip(a)]. 970 ((x / y) \ x) / (x / (x / y)) = (1 / (x / (x / y))) * y. [para(73(a,1),968(a,1,2)),flip(a)]. 972 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(255,a,848,a(flip),b,951,a)]. 973 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(951(a,1),21(a,1,1))]. 974 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(189(a,2),952(a,1,2))]. 975 T(x,x * K(y,x)) = x. [para(953(a,2),904(a,1,2,2))]. 977 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z. [para(954(a,2),220(a,1,2)),flip(b)]. 978 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(162(a,2),954(a,1,1,1))]. 979 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). [para(954(a,1),793(a,1,1))]. 980 (((x * y) * x) / (x * y)) * y = T(x * y,x). [hyper(173,a,955,a),flip(a)]. 981 ((x * y) * x) / (x * y) = T(x * y,x) / y. [hyper(96,a,980,a),flip(a)]. 982 T(T(x * y,x) / y,x * y) = x. [para(981(a,1),166(a,1,1))]. 983 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(981(a,1),818(a,1,1))]. 984 T(T(x,x / y) / y,(x / y) * y) = x / y. [para(21(a,1),982(a,1,1,1,1))]. 985 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(193(a,1),982(a,1,1,1,1))]. 986 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(255,a,129,a(flip),b,983,a(flip)),flip(a)]. 987 x * R(y,x,T(y,x)) = T(y * x,y). [para(983(a,1),171(a,1,2))]. 988 T(T(x,x / y) / y,x) = x / y. [para(21(a,1),984(a,1,2))]. 989 T(x,x / y) / y = (x * (x / y)) / x. [para(988(a,1),167(a,1,1,2)),flip(a)]. 990 T(x \ T(y,y / x),y) = T(y / x,x). [para(988(a,1),185(a,1,1)),flip(a)]. 991 ((x * (x / y)) / x) * y = T(x,x / y). [para(989(a,1),21(a,1,1))]. 992 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(989(a,1),226(a,1,1)),flip(b)]. 993 T(x \ T(y,y / x),y) = x \ y. [hyper(255,a,129,a(flip),b,990,a)]. 994 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(70(a,1),993(a,1,1,2,2))]. 995 x \ T(y,y / x) = (y * (x \ y)) / y. [para(993(a,1),167(a,1,1,2)),flip(a)]. 996 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(255,a,789,a(flip),b,991,a(flip)),flip(a)]. 997 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(995(a,1),220(a,1,2)),flip(b)]. 998 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(73(a,1),996(a,1,2,1,2))]. 999 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(782(a,2),996(a,1,2))]. 1000 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(167(a,1),998(a,1,2)),flip(a)]. 1002 K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(967(a,1),106(a,1,1)),flip(a)]. 1003 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(940(a,1),295(a,1,2,2))]. 1004 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(114(a,1),428(a,1,2,1))]. 1005 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(241(a,1),428(a,1,2,1))]. 1006 x * (T(y,x) * L(z,x,y)) = y * (x * L(z,T(y,x),x)). [hyper(255,a,430,a(flip),b,429,a(flip)),flip(a)]. 1007 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(114(a,1),429(a,1,2,1))]. 1008 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(241(a,1),429(a,1,2,1))]. 1009 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(255,a,97,a(flip),b,433,a)]. 1010 K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(505(a,1),433(a,1,2))]. 1011 L(x / (y * x),z,u) * (y * x) = (L(1 / y,z,u) * y) * x. [para(163(a,1),460(a,1,1,1))]. 1012 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(123(a,1),460(a,1,1,1))]. 1013 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(253(a,1),460(a,1,1,1)),flip(a)]. 1014 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(123(a,1),461(a,1,1,1))]. 1015 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(927(a,1),487(a,1,1,1))]. 1016 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(491(a,2),24(a,1))]. 1017 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(437(a,1),491(a,1,2,1)),flip(a)]. 1018 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(437(a,1),492(a,1,2,1)),flip(a)]. 1019 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(494(a,1),492(a,1,2,1))]. 1020 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(339(a,1),495(a,1,2,1))]. 1021 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(436(a,1),495(a,1,2,1))]. 1022 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(662(a,1),495(a,1,2,1))]. 1023 L(x \ 1,y,z) / (x \ 1) = L(1 / x,y,z) * x. [para(348(a,1),498(a,1,1,1))]. 1024 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(472(a,1),498(a,1,1,1))]. 1025 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [hyper(255,a,762,a(flip),b,1023,a)]. 1026 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(1025(a,1),21(a,1,1))]. 1027 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [para(1025(a,1),73(a,1,1))]. 1028 ((x * y) \ x) / (y \ 1) = y * ((x * y) \ x). [para(162(a,1),1025(a,1,1))]. 1029 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [para(1028(a,1),21(a,1,1))]. 1030 ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). [para(1029(a,1),104(a,1,1))]. 1032 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1026(a,1),31(a,2,1)),flip(a)]. 1033 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(19(a,1),1027(a,1,1,2,1))]. 1034 R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. [para(501(a,2),25(a,1))]. 1035 R(1 / (1 / x),y,z) * (1 / x) = R(x / 1,y,z) / x. [para(351(a,1),501(a,1,1,1)),flip(a)]. 1036 L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). [para(352(a,2),502(a,1,1,1))]. 1037 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(725(a,1),502(a,1,1,1))]. 1038 T(L(x,y,z),1 / x) / x = L(x,y,z) * (1 / x). [para(45(a,1),1037(a,1,1))]. 1039 (1 / x) \ (L(x,y,z) / x) = L(x,y,z). [hyper(23,a,967,a,b,1038,a(flip)),flip(a)]. 1040 (1 / x) * L(x,y,z) = L(x,y,z) / x. [para(1039(a,1),19(a,1,2))]. 1041 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [para(1039(a,1),70(a,1,2))]. 1042 L(x,y,z) \ (L(x,y,z) / x) = T(1 / x,L(x,y,z)). [hyper(172,a,1040,a,b,19,a),flip(a)]. 1044 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1040(a,1),114(a,2,1))]. 1045 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(1040(a,1),618(a,1,2))]. 1047 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(506(a,1),433(a,1,2))]. 1048 (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. [para(507(a,1),224(a,1,2))]. 1049 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(507(a,1),433(a,1,2))]. 1050 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(366,a,551,a)]. 1051 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(677(a,1),418(a,1,2)),flip(a)]. 1052 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(682(a,1),300(a,1,1)),flip(a)]. 1053 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(768(a,1),112(a,1,2))]. 1054 (x * y) * ((z * ((x * y) \ x)) / z) != u | x * (y * ((z * (y \ 1)) / z)) = u. [para(768(a,1),224(a,1,2))]. 1055 (x * y) * L((x * (y \ 1)) / x,y,x) = T(x,x / (x * y)). [para(768(a,2),996(a,1,2))]. 1056 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(350(a,1),777(a,1,1,2))]. 1057 L(T(x / y,z),u,w) * y != v5 | y * L(T(y \ x,z),u,w) = v5. [para(400(a,1),801(a,1,1,1))]. 1059 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(808(a,1),122(a,1,1))]. 1061 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(18(a,1),919(a,1,1,1)),flip(a)]. 1062 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(978(a,2),377(a,1,2)),flip(a)]. 1063 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(224,a,999,a)]. 1064 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(1009(a,1),24(a,1)),flip(a)]. 1068 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(545(a,1),569(a,1,2))]. 1069 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(22,a,184,a,b,581,a),flip(a)]. 1070 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(80,a,1069,a(flip),b,312,a),flip(a)]. 1072 (x * y) * T((x * y) \ y,z) = (T(1 / x,z) * x) * y. [hyper(624,a,659,a)]. 1073 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(361,a,702,a),flip(a)]. 1074 T(x,y) * (x * z) = x * (T(x,y) * z). [para(182(a,1),1073(a,1,2)),flip(a)]. 1075 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(533,a,1074,a)]. 1076 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(530,a,1074,a),flip(a)]. 1077 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(514,a,1074,a)]. 1078 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(310,a,1074,a),flip(a)]. 1079 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(255,a,97,a(flip),b,1074,a)]. 1080 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(172,a,1074,a,b,242,a)]. 1081 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(80,a,97,a(flip),b,1074,a)]. 1082 x * (T(x,y) \ (x \ z)) = T(x,y) \ z. [hyper(80,a,66,a(flip),b,1074,a),flip(a)]. 1083 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(80,a,64,a(flip),b,1074,a),flip(a)]. 1084 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(21(a,1),1074(a,1,2)),flip(a)]. 1086 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(127(a,1),1074(a,1,2)),flip(a)]. 1087 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(129(a,1),1074(a,1,1)),flip(a)]. 1089 (T(x,y) \ 1) \ (T(x,y) \ x) = T(x,T(x,y) \ 1). [hyper(172,a,1083,a,b,19,a),flip(a)]. 1090 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(96,a,1083,a)]. 1091 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(87,a,1083,a)]. 1092 T(x / y,y) \ (x / y) = (x / y) * ((y \ x) \ 1). [para(129(a,1),1083(a,1,2,1)),flip(a)]. 1093 x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z. [para(1083(a,1),222(a,1,2)),flip(b)]. 1095 L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). [para(1083(a,1),192(a,1,2)),flip(a)]. 1096 T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). [para(1083(a,1),858(a,1,1,2))]. 1097 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(1090(a,1),959(a,2,1))]. 1098 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(87,a,1076,a)]. 1099 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(1077(a,1),89(a,1,1)),flip(a),flip(b)]. 1100 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(355,a,1079,a),flip(a)]. 1101 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(22,a,418,a,b,1079,a)]. 1102 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(22,a,264,a,b,1079,a)]. 1103 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(1079(a,1),222(a,1,2)),flip(b)]. 1104 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(129(a,1),1100(a,1,2,1))]. 1105 T(x,x \ y) \ (x * z) = x * (((x \ y) \ y) \ z). [para(128(a,1),1081(a,2,2,1))]. 1106 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(1098(a,2),220(a,1,2)),flip(b)]. 1107 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(1098(a,1),297(a,1,2))]. 1108 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(172,a,724,a,b,1086,a)]. 1109 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(22,a,418,a,b,1086,a)]. 1111 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(1097(a,1),21(a,1,1))]. 1112 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(129(a,1),1104(a,2,2))]. 1113 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(18(a,1),1112(a,1,2,1))]. 1114 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(129(a,1),1111(a,1,1)),flip(a)]. 1115 T(x,y) = ((x * y) / x) * (y \ x). [para(18(a,1),1113(a,2,2)),flip(a)]. 1116 T(x,y) / (y \ x) = (x * y) / x. [hyper(81,a,1115,a,b,xx)]. 1117 ((x * y) / x) \ T(x,y) = y \ x. [hyper(80,a,1115,a,b,xx)]. 1118 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(21(a,1),1115(a,2,1,1)),flip(a)]. 1120 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(354(a,1),1115(a,2,2)),flip(a)]. 1121 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(379(a,1),1115(a,2,2)),flip(a)]. 1122 T(x * y,y) / T(x,y) = ((x * y) * y) / (x * y). [para(37(a,2),1116(a,1,2))]. 1125 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(81,a,166,a(flip),b,1118,a),flip(a)]. 1127 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(18(a,1),1106(a,1,2,2))]. 1128 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(1100(a,1),1106(a,1))]. 1129 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(1100(a,1),1127(a,1))]. 1130 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(396(a,1),1084(a,1,2))]. 1131 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [para(129(a,1),1092(a,1,1)),flip(a)]. 1132 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(255,a,950,a(flip),b,1131,a(flip)),flip(a)]. 1133 (x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1). [para(18(a,1),1131(a,1,2,1)),flip(a)]. 1134 ((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1). [para(73(a,1),1131(a,1,2,1)),flip(a)]. 1135 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(944(a,1),1102(a,1,2))]. 1137 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(1130(a,2),24(a,2))]. 1138 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(624,a,705,a)]. 1139 (1 / x) \ (((1 / x) \ 1) \ T((1 / x) \ 1,y)) = x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1). [hyper(80,a,815,a(flip),b,855,a)]. 1140 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(87,a,851,a)]. 1141 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(624,a,852,a),flip(a)]. 1142 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(408,a,866,a)]. 1143 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(81,a,1142,a,b,396,a)]. 1144 (((x / y) \ 1) * (x / y)) * y = x * T(x \ y,x / y). [hyper(624,a,870,a),flip(a)]. 1145 (x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x). [para(396(a,1),909(a,2,1))]. 1146 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [para(18(a,1),961(a,1,2)),flip(a)]. 1147 x \ (((y * x) / y) \ x) = ((y * x) / y) \ 1. [hyper(87,a,1146,a)]. 1148 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(407(a,1),1146(a,1,2,1)),flip(a)]. 1149 (1 / (x / (x / y))) * y = y / (x / (x / y)). [para(73(a,1),970(a,1,1)),flip(a)]. 1150 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(17(a,1),1017(a,2,2,1))]. 1151 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(241(a,1),1017(a,1,2)),flip(a)]. 1152 T(x,y) \ L(T(x,y) * (T(x,y) \ x),z,u) = (T(x,y) \ 1) * L(T(x,T(x,y) \ 1),z,u). [para(1089(a,1),1017(a,1,2,1)),flip(a)]. 1153 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(255,a,572,a(flip),b,1150,a(flip)),flip(a)]. 1154 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(80,a,1150,a(flip),b,572,a(flip))]. 1155 L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [para(1153(a,1),593(a,1,1,2)),flip(a)]. 1156 x \ T(x * (x \ L(x,y,z)),u) = T(L(x,y,z),u) * (x \ 1). [para(1153(a,1),922(a,1,2,1,2))]. 1157 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(342(a,1),1154(a,1,1))]. 1158 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(17(a,1),1018(a,2,2,1))]. 1159 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(255,a,581,a(flip),b,1158,a(flip)),flip(a)]. 1160 (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). [hyper(81,a,1158,a(flip),b,581,a(flip))]. 1161 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(80,a,1158,a(flip),b,581,a(flip))]. 1162 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(81,a,1159,a(flip),b,184,a)]. 1163 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(1159(a,1),104(a,1,1))]. 1164 R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [para(1159(a,1),593(a,1,1,2)),flip(a)]. 1165 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1159(a,1),627(a,2,1))]. 1167 x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). [para(19(a,1),1021(a,1,2,1)),flip(a)]. 1168 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(255,a,183,a(flip),b,1022,a)]. 1169 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(342(a,1),1168(a,1,2)),flip(a)]. 1170 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(255,a,570,a(flip),b,1024,a)]. 1171 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [para(68(a,1),1035(a,2,1,1))]. 1172 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(788,a,1171,a)]. 1173 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(255,a,582,a(flip),b,1171,a(flip)),flip(a)]. 1174 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [hyper(302,a,1173,a),flip(a)]. 1175 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(172,a,1173,a,b,19,a),flip(a)]. 1176 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1173(a,1),173(a,2)),flip(a)]. 1177 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1173(a,1),114(a,2,1))]. 1178 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1175(a,1),642(a,1,1,2))]. 1179 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(17(a,1),1050(a,2,1))]. 1180 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(87,a,1179,a)]. 1181 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(80,a,351,a(flip),b,1179,a),flip(a)]. 1182 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(22,a,644,a,b,1179,a)]. 1184 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(593(a,2),1179(a,1,2))]. 1185 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(255,a,163,a(flip),b,1184,a)]. 1186 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(172,a,1185,a,b,19,a),flip(a)]. 1188 x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. [para(1180(a,1),646(a,1))]. 1189 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(255,a,789,a(flip),b,1056,a)]. 1190 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(396(a,1),1072(a,2,1))]. 1191 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(129(a,1),1087(a,1,2,1))]. 1192 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(166(a,1),1087(a,1,2,1)),flip(a)]. 1193 (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). [hyper(533,a,1191,a)]. 1194 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [para(18(a,1),1133(a,1,1)),flip(a)]. 1195 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [para(73(a,1),1134(a,1,1)),flip(a)]. 1196 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(255,a,968,a(flip),b,1195,a(flip)),flip(a)]. 1197 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [hyper(255,a,656,a(flip),b,1138,a(flip))]. 1198 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(70(a,1),1197(a,1,1,1,2)),flip(a)]. 1199 ((x \ R(1 / y,y,x)) * x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(163(a,2),1197(a,1,1,1,2))]. 1200 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(669,a,1140,a)]. 1201 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(80,a,388,a(flip),b,1140,a(flip))]. 1203 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(255,a,939,a(flip),b,1200,a)]. 1204 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(255,a,924,a(flip),b,1200,a)]. 1205 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(81,a,1200,a,b,396,a)]. 1206 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(944(a,1),1200(a,1,1))]. 1207 T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x). [para(1200(a,2),1086(a,1,2)),flip(a)]. 1209 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1116(a,1),1201(a,1,2,1,2))]. 1210 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(1203(a,2),21(a,1,1)),flip(a)]. 1211 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(587(a,1),1203(a,2,1))]. 1212 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(969(a,1),1203(a,1,1))]. 1213 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(129(a,1),1204(a,2,2))]. 1214 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(166(a,1),1204(a,2,2))]. 1215 K(R(x \ 1,y,z) \ (x * R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(1174(a,1),1204(a,1,1,2))]. 1217 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(1161(a,1),1213(a,2,2))]. 1218 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(396(a,1),1141(a,1,1))]. 1219 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(926(a,1),1141(a,1,1))]. 1220 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(189(a,2),1144(a,1,1))]. 1221 (x \ (y \ x)) * x = (y * T(y \ 1,x)) * (y \ x). [para(16(a,1),1145(a,1,1,2))]. 1222 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [hyper(172,a,1221,a(flip),b,263,a)]. 1224 T(x * T(x \ 1,L(x,y,z)),x \ L(x,y,z)) = K(x \ 1,L(x,y,z)). [para(1154(a,1),1222(a,2,1))]. 1225 L(x \ ((1 / x) \ y),z,u) = x \ ((1 / x) \ L(y,z,u)). [hyper(87,a,1167,a),flip(a)]. 1226 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(73(a,1),1170(a,1,1,1,2))]. 1227 T(x,x * T(x \ 1,y)) = x. [hyper(172,a,656,a(flip),b,1190,a(flip))]. 1228 T(x,(x \ 1) * x) = x. [para(127(a,1),1227(a,1,2))]. 1229 T(x,K(x \ 1,x)) = x. [para(289(a,1),1227(a,1,2))]. 1230 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1227(a,1),721(a,1,1))]. 1231 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(398(a,1),1227(a,1,2))]. 1232 T(x \ 1,x \ T(x,y)) = x \ 1. [para(924(a,1),1227(a,1,2))]. 1233 T(1 / x,T(x,y) / x) = 1 / x. [para(939(a,1),1227(a,1,2))]. 1234 R(x,x \ 1,x) = T(x,x \ 1). [para(1228(a,1),718(a,1,1))]. 1235 K(x \ 1,x) * x = x * K(x \ 1,x). [para(1229(a,1),127(a,1,2))]. 1236 R(x,x \ 1,x) = (x \ 1) \ 1. [hyper(255,a,128,a(flip),b,1234,a)]. 1237 T(x,x \ 1) \ x = (x \ 1) * x. [para(1234(a,1),379(a,1,1))]. 1238 ((x \ 1) \ 1) \ x = (x \ 1) * x. [para(1236(a,1),379(a,1,1))]. 1239 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(40,a,1232,a)]. 1240 (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). [para(1232(a,1),127(a,1,2))]. 1241 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1233(a,1),404(a,1,1,2)),flip(a)]. 1242 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(172,a,1237,a(flip),b,1083,a),flip(a)]. 1244 ((x \ 1) \ 1) \ x = K(x \ 1,x). [hyper(255,a,189,a,b,1238,a)]. 1245 ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. [para(1238(a,2),315(a,1))]. 1246 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [hyper(360,a,1242,a)]. 1247 1 / T(x \ 1,x) = T(x,x \ 1). [para(1242(a,1),70(a,1,2))]. 1248 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(128(a,1),1242(a,1,1)),flip(a)]. 1249 T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. [para(564(a,1),1242(a,1,1)),flip(a)]. 1250 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1244(a,1),19(a,1,2))]. 1251 T(x \ 1,(x \ 1) \ 1) = T(x \ 1,x). [hyper(255,a,128,a,b,1248,a),flip(a)]. 1252 T((x \ 1) \ 1,x \ 1) = T(x \ 1,x) \ 1. [para(1248(a,2),1248(a,2,1))]. 1253 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1231(a,1),718(a,1,1))]. 1254 (x * K(x \ 1,x)) / (x * x) = R(x \ 1,x,x). [para(1235(a,1),293(a,1,1))]. 1255 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1239(a,1),667(a,1,1)),flip(a)]. 1256 T(x,1 / x) = (x \ 1) \ 1. [para(73(a,1),1249(a,1,1))]. 1257 T(x,1 / x) = T(x,x \ 1). [hyper(255,a,128,a,b,1256,a)]. 1258 R(x,1 / x,x) = (x \ 1) \ 1. [hyper(255,a,725,a,b,1256,a(flip)),flip(a)]. 1259 ((1 / x) * ((x \ 1) \ 1)) / (1 / x) = x. [para(1256(a,1),167(a,1,1,2))]. 1260 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1256(a,1),726(a,1,1))]. 1261 a(x,1 / x,x) = x \ ((x \ 1) \ 1). [para(1256(a,1),728(a,1,2)),flip(a)]. 1262 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1256(a,1),1037(a,1,1,1))]. 1263 L(T(x,x \ 1),1 / x,x) = T(x,x * (1 / x)). [para(1257(a,1),542(a,1,1))]. 1264 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1257(a,1),404(a,1,1,2))]. 1265 T(x,x \ 1) / x = K(x,1 / x). [para(1257(a,1),726(a,1,1))]. 1266 x \ T(x,x \ 1) = a(x,1 / x,x). [para(1257(a,1),728(a,1,2))]. 1267 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1257(a,1),727(a,2,1))]. 1268 K(x,1 / x) * x = (x \ 1) \ 1. [hyper(255,a,503,a,b,1258,a(flip)),flip(a)]. 1269 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(255,a,1132,a(flip),b,1260,a(flip)),flip(a)]. 1270 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(73(a,1),1260(a,1,1,1)),flip(a)]. 1271 (x \ 1) * K(x,1 / x) = 1 / x. [para(1269(a,1),19(a,1,2))]. 1272 (1 / x) / K(x,1 / x) = x \ 1. [para(1269(a,1),70(a,1,2))]. 1273 R(1 / x,x,1 / x) = x \ 1. [hyper(612,a,1272,a)]. 1274 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1273(a,1),353(a,1,1)),flip(a)]. 1275 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1274(a,1),149(a,1,1))]. 1276 L(T(x,x \ 1),1 / x,x) = T(x,K(x,1 / x)). [para(191(a,2),1263(a,2,2))]. 1277 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1267(a,1),648(a,1,2))]. 1278 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(73(a,1),1262(a,1,1,1,1)),flip(a)]. 1279 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1262(a,1),129(a,1,1))]. 1280 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(620,a,1264,a),flip(a)]. 1281 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(167(a,1),1280(a,1,1)),flip(a)]. 1282 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(255,a,666,a,b,1255,a),flip(a)]. 1283 T(K(x,y),x \ 1) = K(x,y). [para(31(a,2),1282(a,2,1)),flip(a)]. 1284 T(x \ 1,K(x,y)) = x \ 1. [hyper(40,a,1283,a)]. 1285 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [para(1283(a,1),127(a,1,2)),flip(a)]. 1286 (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. [para(1283(a,1),225(a,1,2))]. 1287 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(1284(a,1),344(a,2,1))]. 1288 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1284(a,1),398(a,1,2)),flip(a)]. 1289 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. [para(1214(a,2),128(a,1,2))]. 1290 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(407(a,1),1214(a,1,1,2,2,1))]. 1291 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1218(a,1),304(a,1,1)),flip(b)]. 1292 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(255,a,394,a(flip),b,1220,a)]. 1293 L((x \ 1) \ ((1 / (x \ 1)) \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(70(a,1),1225(a,2,2,1))]. 1294 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(167(a,1),1281(a,1,1)),flip(a)]. 1295 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(255,a,19,a(flip),b,1288,a)]. 1297 T(x,K(x \ 1,y)) = x. [hyper(94,a,1295,a)]. 1298 T(1 / x,K(x,y)) = 1 / x. [para(73(a,1),1297(a,1,2,1))]. 1299 K(x \ 1,y) * x = x * K(x \ 1,y). [para(1297(a,1),127(a,1,2))]. 1300 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1298(a,1),682(a,1,1)),flip(a)]. 1301 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(255,a,428,a(flip),b,583,a(flip)),flip(a)]. 1302 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(184(a,1),1301(a,1,2)),flip(a)]. 1303 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(533,a,1302,a)]. 1304 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(514,a,1302,a)]. 1305 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(310,a,1302,a),flip(a)]. 1306 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(87,a,1302,a)]. 1307 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(80,a,97,a(flip),b,1302,a)]. 1308 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(80,a,64,a(flip),b,1302,a),flip(a)]. 1309 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [hyper(172,a,1302,a(flip),b,242,a),flip(a)]. 1310 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(127(a,1),1302(a,1,2)),flip(a)]. 1312 (R(x,y,z) \ 1) * T(x,R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(229,a,1308,a)]. 1313 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1308(a,1),192(a,1,2)),flip(a)]. 1314 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1308(a,1),922(a,1,2,1,2))]. 1315 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(122(a,1),1303(a,1,2)),flip(a)]. 1316 x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. [para(1304(a,1),219(a,1,1)),flip(b)]. 1317 R(x,y,x) * (x \ (y * x)) = T(x * y,x). [hyper(172,a,122,a(flip),b,1305,a),flip(a)]. 1318 R(x,y,x) * T(y,x) = T(x * y,x). [para(37(a,2),1317(a,1,2))]. 1319 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(87,a,1318,a)]. 1320 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(96,a,1315,a),flip(a)]. 1322 (L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * y. [para(474(a,1),654(a,1,1,1)),flip(a)]. 1323 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(350(a,1),655(a,1,1,1))]. 1324 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(439(a,1),673(a,1,2,1)),flip(a)]. 1325 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(678(a,1),418(a,1,2)),flip(a)]. 1326 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(683(a,1),300(a,1,1)),flip(a)]. 1327 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(255,a,460,a(flip),b,719,a(flip))]. 1328 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(255,a,461,a(flip),b,720,a(flip))]. 1330 (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). [para(112(a,1),774(a,1,1,1,1))]. 1331 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(114(a,1),802(a,1,2,1,2))]. 1332 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(241(a,1),802(a,1,2,1,2))]. 1333 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(803(a,1),419(a,1,2)),flip(a)]. 1334 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(80,a,804,a(flip),b,192,a)]. 1335 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(80,a,805,a(flip),b,190,a),flip(a)]. 1336 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(81,a,812,a(flip),b,194,a),flip(a)]. 1337 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(838(a,1),430(a,1,2))]. 1338 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(230,a,844,a)]. 1339 (x * T(y,z)) * y = (x * y) * T(y,z). [para(397(a,1),1338(a,1,1))]. 1340 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(535,a,1339,a)]. 1341 (1 / T(x,y)) * x = x / T(x,y). [hyper(371,a,1339,a),flip(a)]. 1342 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(308,a,1339,a),flip(a)]. 1343 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(255,a,98,a(flip),b,1339,a)]. 1344 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(87,a,1339,a)]. 1345 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(81,a,98,a(flip),b,1339,a)]. 1346 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(81,a,78,a(flip),b,1339,a),flip(a)]. 1347 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [hyper(80,a,98,a(flip),b,1339,a)]. 1348 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(129(a,1),1339(a,1,1,2)),flip(a)]. 1349 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(87,a,1341,a)]. 1350 (1 / T(x,y)) * x != z | x / T(x,y) = z. [para(1349(a,1),220(a,1,2)),flip(b)]. 1351 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1349(a,1),965(a,2,1))]. 1352 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1349(a,1),967(a,1,1)),flip(a)]. 1353 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1340(a,2),173(a,2)),flip(a)]. 1354 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1000(a,2),1342(a,1,1))]. 1355 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1344(a,1),1061(a,1,1)),flip(a)]. 1356 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(547(a,1),1355(a,1,1,2))]. 1357 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [para(1351(a,1),70(a,1,2))]. 1358 T((T(x,y) / T(x,z)) * T(x,z),u) / T(x,z) = (1 / T(x,z)) * T(T(x,y),u). [para(1351(a,1),935(a,1,2,1)),flip(a)]. 1359 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1354(a,1),1086(a,1,2)),flip(a)]. 1360 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1294(a,1),1352(a,1,1))]. 1361 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(96,a,1359,a),flip(a)]. 1362 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1360(a,1),1346(a,1,1,1))]. 1363 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(255,a,1000,a(flip),b,1361,a(flip))]. 1364 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(759,a,1363,a)]. 1365 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(129(a,1),1348(a,1,2))]. 1366 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(166(a,1),1348(a,1,2)),flip(a)]. 1367 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(535,a,1365,a)]. 1368 ((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y). [hyper(534,a,1365,a),flip(a)]. 1369 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(81,a,98,a(flip),b,1365,a)]. 1370 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [para(846(a,1),573(a,1,2))]. 1371 T(x,y) / x != z | (1 / x) * T(x,y) = z. [para(937(a,1),875(a,1))]. 1372 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(255,a,670,a(flip),b,876,a)]. 1373 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(1372(a,1),73(a,1,1))]. 1375 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(255,a,404,a(flip),b,906,a)]. 1376 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(1075(a,1),907(a,1,1,1))]. 1378 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(224,a,1055,a)]. 1379 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(80,a,1055,a(flip),b,112,a(flip))]. 1381 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(81,a,1379,a(flip),b,927,a)]. 1382 (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). [para(1159(a,1),1381(a,1,1,2,1))]. 1384 T((1 * x) / y,K(y / x,z)) = x / y. [hyper(255,a,351,a(flip),b,1300,a)]. 1385 T(x / y,K(y / x,z)) = x / y. [para(16(a,1),1384(a,1,1,1))]. 1386 T(x \ y,K(x / y,z)) = T(y / x,x). [para(1385(a,1),185(a,1,1)),flip(a)]. 1387 T(x \ y,K(x / y,z)) = x \ y. [hyper(255,a,129,a(flip),b,1386,a)]. 1388 (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). [para(122(a,1),424(a,1,2))]. 1389 (x * y) \ ((z * y) * R(x / z,z,y)) = K(z * y,R(x / z,z,y)). [para(21(a,1),456(a,1,1,1))]. 1390 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(619(a,2),24(a,1))]. 1391 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(114(a,1),739(a,1,2,1))]. 1392 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(255,a,1194,a(flip),b,790,a)]. 1394 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(112(a,1),821(a,1,1))]. 1396 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(826(a,1),1153(a,1,1)),flip(a)]. 1397 (x * y) * R((x * y) \ y,z,u) = (R(1 / x,z,u) * x) * y. [hyper(788,a,827,a)]. 1398 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [hyper(255,a,1138,a(flip),b,831,a(flip)),flip(a)]. 1399 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(19(a,1),1398(a,1,1,1,2,1)),flip(a)]. 1400 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(848(a,1),1399(a,1,2)),flip(a)]. 1401 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(935(a,1),1399(a,1,2)),flip(a)]. 1402 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(956(a,2),1399(a,1,2)),flip(a)]. 1403 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(67(a,1),1402(a,1,1,1,2)),flip(a)]. 1405 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(189(a,2),1403(a,2,1))]. 1406 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(18(a,1),1405(a,1,2,2)),flip(a)]. 1407 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(37(a,2),1405(a,1,2,2))]. 1408 K(x \ 1,x) * y != x * (K(x \ 1,x) * z) | x * z = y. [para(1406(a,1),24(a,1)),flip(a)]. 1409 x * (K(x \ 1,x) * (x \ y)) != z | K(x \ 1,x) * y = z. [para(1406(a,1),310(a,1))]. 1410 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1406(a,1),179(a,1,2))]. 1411 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(255,a,1190,a(flip),b,832,a(flip))]. 1412 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(127(a,1),1411(a,1,2)),flip(a)]. 1413 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(229,a,1412,a)]. 1414 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(96,a,1412,a)]. 1415 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1161(a,1),1414(a,1,1,2,1))]. 1416 (T((x / y) / z,u) * z) * y = (z * y) * T((z * y) \ x,u). [hyper(255,a,396,a(flip),b,842,a)]. 1417 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(362,a,854,a),flip(a)]. 1418 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(183(a,1),1417(a,1,2)),flip(a)]. 1419 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(533,a,1418,a)]. 1420 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(530,a,1418,a),flip(a)]. 1421 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(310,a,1418,a),flip(a)]. 1422 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(87,a,1418,a)]. 1423 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(80,a,97,a(flip),b,1418,a)]. 1424 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(80,a,64,a(flip),b,1418,a),flip(a)]. 1425 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). [hyper(172,a,1418,a(flip),b,242,a),flip(a)]. 1426 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(80,a,1418,a(flip),b,104,a)]. 1427 x * (L(x,y,z) * T(u,x)) = L(x,y,z) * (u * x). [para(127(a,1),1418(a,1,2)),flip(a)]. 1429 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(87,a,1424,a)]. 1430 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1424(a,1),31(a,2,1)),flip(a)]. 1431 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1424(a,1),192(a,1,2)),flip(a)]. 1432 T((1 / x) * (L(x,y,z) \ x),x) = (1 / x) * ((L(x,y,z) \ 1) * x). [para(1424(a,1),858(a,1,1,2))]. 1433 T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(1424(a,2),1222(a,1,2))]. 1434 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(80,a,37,a,b,1420,a),flip(a)]. 1437 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1422(a,1),1375(a,1,1,1)),flip(a)]. 1438 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(189(a,2),1423(a,1,2))]. 1439 T(1 / (1 / x),x \ 1) = x. [hyper(255,a,1259,a(flip),b,911,a(flip))]. 1440 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1439(a,1),43(a,1,1)),flip(a)]. 1441 T(1 / (1 / (1 / x)),x) = 1 / x. [para(73(a,1),1439(a,1,2))]. 1442 (1 / (1 / x)) * (x \ 1) = (x \ 1) * x. [para(1439(a,1),127(a,1,2)),flip(a)]. 1443 T(x,x \ 1) / x = K(x,x \ 1). [para(1439(a,1),1212(a,1,1)),flip(a)]. 1444 (1 / (1 / (1 / x))) * x = x * (1 / x). [para(1441(a,1),127(a,1,2)),flip(a)]. 1445 K(x,1 / x) = K(x,x \ 1). [hyper(255,a,1265,a(flip),b,1443,a(flip)),flip(a)]. 1446 K(x,x \ 1) * x = T(x,x \ 1). [para(1443(a,1),21(a,1,1))]. 1447 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(128(a,1),1443(a,1,1))]. 1448 K(x,x \ 1) = x * (1 / x). [hyper(365,a,1445,a),flip(a)]. 1449 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(255,a,616,a,b,1445,a(flip)),flip(a)]. 1450 x \ K(x,x \ 1) = 1 / x. [hyper(80,a,1445,a(flip),b,191,a(flip))]. 1451 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(70(a,1),1445(a,1,2)),flip(a)]. 1452 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1445(a,1),391(a,1,1))]. 1453 K(x,x \ 1) != y | x * (1 / x) = y. [para(1445(a,1),365(a,1))]. 1454 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1445(a,1),796(a,1,2))]. 1455 K(x,x \ 1) * (x \ 1) = 1 / x. [para(1445(a,1),799(a,1,1))]. 1456 K(x,x \ 1) * x = (x \ 1) \ 1. [para(1445(a,1),1268(a,1,1))]. 1457 (x \ 1) * K(x,x \ 1) = 1 / x. [para(1445(a,1),1271(a,1,2))]. 1458 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(255,a,390,a,b,1448,a(flip)),flip(a)]. 1460 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1448(a,2),1103(a,1,2))]. 1461 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1448(a,2),832(a,1,1))]. 1462 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1448(a,2),1418(a,1,2))]. 1463 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1448(a,2),1423(a,1,2))]. 1464 x * (1 / x) != y | K(x,x \ 1) = y. [para(1450(a,1),220(a,1,2)),flip(b)]. 1465 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). [para(1446(a,1),112(a,1,1))]. 1466 T(x,x \ 1) \ (K(x,x \ 1) * y) = L(x \ y,x,K(x,x \ 1)). [para(1446(a,1),114(a,2,1)),flip(a)]. 1467 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1446(a,1),422(a,1,1))]. 1468 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) != z | L(y,K(y,y \ 1),x) = z. [para(1446(a,1),431(a,1,2,2))]. 1469 x * L(y,K(x,x \ 1),1 / (1 / x)) = (1 / (1 / x)) * (K(x,x \ 1) * y). [para(1454(a,1),112(a,1,1))]. 1470 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(1454(a,1),122(a,1,2))]. 1471 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1454(a,1),123(a,2,2))]. 1472 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1455(a,1),483(a,1,1))]. 1474 ((x \ 1) \ 1) / L(y \ x,y,K(x,x \ 1)) = K(x,x \ 1) * y. [para(1456(a,1),417(a,1,1))]. 1475 K(x,1 / x) != y | K(x,x \ 1) = y. [para(191(a,2),1464(a,1))]. 1477 (x \ 1) / (1 / x) = (x \ 1) * x. [hyper(255,a,968,a(flip),b,1442,a(flip)),flip(a)]. 1478 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(255,a,189,a,b,1477,a)]. 1479 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(255,a,1270,a,b,1478,a(flip)),flip(a)]. 1480 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(255,a,1196,a(flip),b,1478,a(flip)),flip(a)]. 1481 K(x \ 1,x) * (1 / x) = x \ 1. [para(1478(a,1),21(a,1,1))]. 1482 K(x \ 1,x) \ (x \ 1) = 1 / x. [para(1478(a,1),73(a,1,1))]. 1483 x * K(x \ 1,x) = 1 / (1 / x). [para(1480(a,1),19(a,1,2))]. 1484 x * (T(x,y) \ K(x \ 1,x)) = T(x,y) \ (1 / (1 / x)). [para(1480(a,1),1082(a,1,2,2))]. 1486 T(1 / x,K(x \ 1,x)) = 1 / x. [hyper(695,a,1481,a)]. 1487 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1481(a,1),112(a,1,1))]. 1488 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(1481(a,1),114(a,2,1))]. 1489 L(x \ 1,x,x \ 1) = 1 / x. [hyper(609,a,1482,a)]. 1490 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1489(a,1),45(a,2,1))]. 1491 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1489(a,1),50(a,1,1)),flip(a)]. 1492 L(x,x \ 1,x) = 1 / (1 / x). [hyper(761,a,1483,a)]. 1494 (1 / (1 / x)) / (x * x) = R(x \ 1,x,x). [para(1483(a,1),1254(a,1,1))]. 1495 L(T(x,y),x \ 1,x) = T(1 / (1 / x),y). [para(1492(a,1),45(a,2,1))]. 1496 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1492(a,1),49(a,1,1)),flip(a)]. 1497 L(L(x,y,z),x \ 1,x) = L(1 / (1 / x),y,z). [para(1492(a,1),50(a,1,1)),flip(a)]. 1498 L((x * y) / x,y \ 1,y) = (x * (1 / (1 / y))) / x. [para(1492(a,1),767(a,2,1,2))]. 1499 L(1 / x,y,z) * K(x \ 1,x) = K(x \ 1,x) * L(1 / x,y,z). [para(1486(a,1),183(a,1,2,1)),flip(a)]. 1501 x / (1 / (1 / x)) = x * (1 / x). [hyper(255,a,1149,a(flip),b,1444,a(flip)),flip(a)]. 1502 x / (1 / (1 / x)) = K(x,x \ 1). [hyper(255,a,1448,a,b,1501,a)]. 1503 x / (1 / (1 / x)) = K(x,1 / x). [hyper(255,a,191,a,b,1501,a)]. 1504 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1502(a,1),21(a,1,1))]. 1505 K(x,x \ 1) \ x = 1 / (1 / x). [para(1502(a,1),73(a,1,1))]. 1506 K(x,1 / x) * (1 / (1 / x)) = x. [para(1503(a,1),21(a,1,1))]. 1507 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1504(a,1),112(a,1,1))]. 1508 L(x,1 / x,x) = 1 / (1 / x). [hyper(563,a,1506,a)]. 1509 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1508(a,1),45(a,2,1))]. 1510 T(L(x,1 / x,x),x \ 1) = x. [para(1508(a,2),1439(a,1,1))]. 1511 L(T(x,x \ 1),1 / x,x) = x. [hyper(255,a,45,a,b,1510,a(flip)),flip(a)]. 1512 T(x,K(x,1 / x)) = x. [hyper(255,a,1276,a(flip),b,1511,a(flip)),flip(a)]. 1513 T(K(x,1 / x),x) = K(x,1 / x). [hyper(40,a,1512,a)]. 1514 T(x,K(x,x \ 1)) = x. [para(1445(a,1),1512(a,1,2))]. 1515 L(x,y,z) * K(x,x \ 1) = K(x,x \ 1) * L(x,y,z). [para(1514(a,1),183(a,1,2,1)),flip(a)]. 1516 a(x,1 / x,x) = K(x,1 / x). [hyper(255,a,711,a(flip),b,1513,a(flip)),flip(a)]. 1517 x \ T(x,x \ 1) = K(x,1 / x). [hyper(255,a,1266,a,b,1516,a(flip)),flip(a)]. 1518 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(255,a,1261,a(flip),b,1516,a(flip)),flip(a)]. 1519 x \ T(x,x \ 1) = K(x,x \ 1). [hyper(255,a,1445,a(flip),b,1517,a)]. 1520 x \ ((x \ 1) \ 1) = K(x,x \ 1). [hyper(255,a,1445,a(flip),b,1518,a)]. 1521 K((x \ 1) \ 1,x \ 1) = K(x,1 / x). [hyper(255,a,693,a,b,1518,a(flip)),flip(a)]. 1522 x * K(x,x \ 1) = T(x,x \ 1). [para(1519(a,1),19(a,1,2))]. 1523 x * K(x,x \ 1) = (x \ 1) \ 1. [para(1519(a,1),275(a,2,2)),flip(a)]. 1524 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [hyper(255,a,693,a,b,1520,a(flip)),flip(a)]. 1525 T(x,x \ 1) * L(y,K(x,x \ 1),x) = x * (K(x,x \ 1) * y). [para(1522(a,1),112(a,1,1))]. 1526 L(K(x,x \ 1) \ y,K(x,x \ 1),x) = T(x,x \ 1) \ (x * y). [para(1522(a,1),114(a,2,1))]. 1528 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(1522(a,1),466(a,1,1,1))]. 1529 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1475,a,1479,a)]. 1530 K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,1 / (x \ 1)). [para(1248(a,2),1521(a,1,1))]. 1532 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(1524(a,1),1405(a,1,2,1))]. 1533 K(1 / x,x) = K(x \ 1,x). [para(73(a,1),1529(a,1,2))]. 1534 K(1 / (1 / x),1 / x) = K(x,x \ 1). [hyper(255,a,1449,a(flip),b,1533,a)]. 1535 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(255,a,1452,a,b,1533,a(flip)),flip(a)]. 1536 K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(T(x,x \ 1),T(x \ 1,x)). [para(1247(a,1),1533(a,1,1)),flip(a)]. 1538 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1490(a,1),433(a,1,2))]. 1539 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = L(R(x \ 1,x,x),y,z) * (x * x). [para(1494(a,1),570(a,1,1,1)),flip(a)]. 1540 T(1 / (1 / x),y) / ((x \ 1) * T(x,y)) = x. [hyper(81,a,1495,a(flip),b,190,a)]. 1541 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(255,a,1003,a,b,1509,a(flip)),flip(a)]. 1542 K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1491(a,1),433(a,1,2))]. 1543 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(255,a,1462,a(flip),b,1515,a(flip))]. 1544 K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,x). [para(70(a,1),1530(a,2,2))]. 1545 K(T(x \ 1,x),T(x,x \ 1)) = K(x \ 1,x). [para(128(a,2),1544(a,1,2))]. 1546 K(T((x \ 1) \ 1,x \ 1),T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). [hyper(255,a,1524,a(flip),b,1545,a)]. 1547 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1541(a,1),19(a,1,2))]. 1549 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1445(a,1),1547(a,1,1))]. 1550 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(1505(a,2),1549(a,1,2,1))]. 1551 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(167(a,1),917(a,1,2,2))]. 1552 (x * y) * L((x * y) \ y,z,u) = (L(1 / x,z,u) * x) * y. [hyper(780,a,1011,a)]. 1553 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(87,a,1051,a)]. 1554 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(17(a,1),1051(a,2,2,1,2))]. 1555 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(87,a,1554,a),flip(a)]. 1556 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(289(a,1),1554(a,1,2)),flip(a)]. 1557 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1200(a,2),1554(a,1,2)),flip(a)]. 1558 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(966,a,1557,a)]. 1559 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(80,a,1557,a,b,xx),flip(a)]. 1560 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(255,a,925,a(flip),b,1557,a(flip))]. 1561 K(x \ (x / (y \ (z \ y))),x) = y \ (T(z,x) * (z \ y)). [hyper(80,a,398,a(flip),b,1557,a(flip)),flip(a)]. 1562 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(18(a,1),1557(a,1,2,1)),flip(a)]. 1563 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(31(a,2),1557(a,2,2,1,2,2))]. 1564 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(33(a,2),1557(a,2,2,1,2,2))]. 1565 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(20(a,1),1559(a,1,1,2))]. 1566 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(37(a,2),1559(a,1,1,2,2))]. 1567 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(73(a,1),1559(a,2,2,2,1))]. 1569 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1559(a,1),975(a,1,2,2))]. 1570 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(994(a,1),1569(a,1,2,2,2,2))]. 1571 T(x,x * (T(x,y) \ x)) = x. [para(19(a,1),1570(a,1,2,2,2))]. 1572 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1571(a,1),43(a,1,1)),flip(a)]. 1573 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(18(a,1),1556(a,1,2,1)),flip(a)]. 1574 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(21(a,1),1558(a,1,1,1)),flip(a)]. 1575 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(894(a,1),1567(a,2,2))]. 1576 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(81,a,396,a(flip),b,1052,a)]. 1577 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(16(a,1),1052(a,2,1,1,1))]. 1578 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(255,a,396,a(flip),b,1577,a)]. 1579 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(396(a,1),1578(a,1,1))]. 1581 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1200(a,2),1579(a,1,1))]. 1582 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(96,a,1581,a),flip(a)]. 1583 K(x \ (x / ((y * z) / y)),x) = (y * (z * T(z \ 1,x))) / y. [hyper(81,a,656,a(flip),b,1581,a),flip(a)]. 1584 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [para(20(a,1),1582(a,1,1,2))]. 1585 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(35(a,2),1582(a,1,1,2,2))]. 1586 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(994(a,1),1582(a,2,1,2))]. 1587 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(255,a,1572,a(flip),b,1080,a(flip))]. 1588 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1587(a,1),70(a,1,2))]. 1589 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1353,a,1588,a)]. 1590 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1588(a,2),618(a,1,2))]. 1591 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1589(a,1),396(a,1,1)),flip(a)]. 1592 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(129(a,1),1114(a,1,2)),flip(a)]. 1593 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(70(a,1),1592(a,1,2,1,1)),flip(a)]. 1594 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(255,a,809,a(flip),b,1120,a(flip)),flip(a)]. 1595 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(789(a,1),1594(a,1,1))]. 1596 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(1083(a,1),1595(a,1,1,2,1))]. 1597 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1379(a,2),1595(a,1,1)),flip(a)]. 1598 T(L(x,y,z),u) * (x \ 1) = x \ T(L(x,y,z),u). [para(19(a,1),1156(a,1,2,1)),flip(a)]. 1600 T(L(x,y,z),u) * (x \ 1) = x \ L(T(x,u),y,z). [para(45(a,2),1598(a,2,2))]. 1601 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [para(45(a,2),1600(a,1,1))]. 1602 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(18(a,1),1192(a,1,1)),flip(a)]. 1603 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(533,a,1602,a)]. 1604 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(80,a,97,a(flip),b,1602,a)]. 1605 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(674,a,1603,a),flip(a)]. 1606 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(880(a,1),1198(a,1,2)),flip(a)]. 1607 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(105(a,1),1606(a,2,2))]. 1608 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(18(a,1),1607(a,1,1,1))]. 1609 (x * y) * ((y * x) \ y) = y * K(x,y). [para(18(a,1),1608(a,2,2,1))]. 1611 (x * y) * L(x \ 1,x,y) = y * K(x,y). [hyper(255,a,340,a,b,1609,a(flip)),flip(a)]. 1612 (x * K(y,x)) \ (y * x) != z | L(((x * y) \ x) \ 1,(x * y) \ x,y * x) = z. [para(1609(a,1),374(a,1,1))]. 1614 x * K(x \ (x / T(x,y)),x) != z | L(x,T(x,y) \ 1,T(x,y)) = z. [para(1207(a,1),537(a,1))]. 1615 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(780,a,1323,a),flip(a)]. 1616 x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). [hyper(997,a,1335,a),flip(a)]. 1617 T(x,x / (y \ 1)) != z | T(x,y * x) = z. [para(1616(a,1),891(a,1))]. 1618 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(992,a,1336,a),flip(a)]. 1619 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(16(a,1),1336(a,2,1,1,2))]. 1620 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(19(a,1),1618(a,1,1,1,2)),flip(a)]. 1621 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1618(a,1),1364(a,1,1))]. 1622 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(916,a,1619,a)]. 1623 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(73(a,1),1622(a,1,2,1,2))]. 1624 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(302,a,1623,a),flip(a)]. 1625 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(916,a,1362,a)]. 1626 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(18(a,1),1366(a,1,1,2)),flip(a)]. 1627 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(535,a,1626,a)]. 1628 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(371,a,1626,a),flip(a)]. 1629 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(998(a,1),1626(a,1,1)),flip(a)]. 1630 (x / ((y * x) / y)) / x = 1 / ((y * x) / y). [hyper(96,a,1628,a)]. 1631 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(308,a,1629,a),flip(a)]. 1632 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(1099,a,1631,a)]. 1634 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(96,a,1632,a)]. 1636 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(255,a,1620,a,b,1634,a(flip)),flip(a)]. 1637 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(18(a,1),1636(a,1,2,2,2)),flip(a)]. 1638 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(396(a,1),1370(a,2,1))]. 1639 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(578(a,1),1397(a,2,1))]. 1640 (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). [hyper(255,a,832,a(flip),b,1416,a)]. 1641 x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). [para(1538(a,1),565(a,1,2))]. 1642 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(1550(a,1),973(a,1,1))]. 1643 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(570(a,1),1552(a,2,1))]. 1644 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(19(a,1),1553(a,1,2,2,1,2)),flip(a)]. 1645 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(1190(a,1),1566(a,2,2))]. 1646 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(255,a,37,a,b,1645,a),flip(a)]. 1647 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(1645(a,2),19(a,1,2)),flip(a)]. 1649 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(255,a,1200,a(flip),b,1646,a),flip(a)]. 1650 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(80,a,1646,a,b,1200,a(flip))]. 1651 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(289(a,1),1646(a,1,1)),flip(a)]. 1652 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(924(a,1),1646(a,1,1))]. 1653 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1062(a,2),1646(a,1,1)),flip(a)]. 1654 K(x \ (x / T(y,z)),x) = T(K(x \ (x / y),x),z). [para(1200(a,2),1646(a,1,1)),flip(a)]. 1655 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1246(a,1),1652(a,2,1,2,2))]. 1656 K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). [para(70(a,1),1654(a,2,1,1,2))]. 1657 T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). [para(128(a,1),1656(a,1,1,2,2)),flip(a)]. 1658 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(225,a,1649,a),flip(a)]. 1659 T(x,y) \ T(x * T(x \ 1,z),y) != u | T(T(x,y) \ 1,z) = u. [para(1649(a,1),222(a,1,2)),flip(b)]. 1661 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1232(a,1),1650(a,1,2,1,2)),flip(a)]. 1662 T(x,y) \ T(x * T(x \ 1,x),y) = T(T(x,y) \ 1,T(x,x \ 1)). [para(1246(a,1),1650(a,1,2,1,2))]. 1663 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(255,a,396,a(flip),b,1576,a)]. 1664 K(x \ (x / ((y * x) / y)),x) = (y * K(x \ 1,x)) / y. [para(289(a,1),1583(a,2,1,2))]. 1665 ((x * y) / x) \ ((x * K(y \ 1,y)) / x) = T(((x * y) / x) \ 1,y). [hyper(80,a,1664,a(flip),b,1200,a(flip))]. 1666 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(570(a,1),1615(a,1,1))]. 1667 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(1083(a,1),1625(a,1,2,1))]. 1668 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1625(a,1),1378(a,1,2))]. 1669 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(255,a,832,a(flip),b,1638,a(flip)),flip(a)]. 1670 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(255,a,656,a(flip),b,1638,a(flip))]. 1671 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(172,a,1638,a(flip),b,832,a(flip)),flip(a)]. 1673 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(37(a,2),1671(a,1,2,1,2)),flip(a)]. 1674 T(x * T(x \ y,x),x) = (x \ T(y,x)) * x. [hyper(255,a,127,a(flip),b,1673,a)]. 1675 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(80,a,1673,a,b,xx)]. 1676 T((x \ y) * x,x) = (x \ T(y,x)) * x. [para(127(a,1),1674(a,1,1))]. 1677 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(81,a,1676,a,b,xx)]. 1678 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(80,a,1676,a,b,263,a)]. 1680 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1676(a,2),69(a,1,2,1))]. 1681 T(x * y,y) / y = y \ T(y * x,y). [para(18(a,1),1677(a,1,1,1,1))]. 1683 (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. [para(1677(a,1),226(a,1,1)),flip(b)]. 1684 x \ T(x * (y / x),x) = T(y,x) / x. [para(75(a,1),1677(a,1,1,1)),flip(a)]. 1687 x * (T(y * x,x) / x) = T(x * y,x). [para(18(a,1),1680(a,1,2,1,1,1))]. 1688 T(x * (y / x),x) = x * (T(y,x) / x). [para(75(a,1),1680(a,1,2,1,1)),flip(a)]. 1689 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(397(a,1),1681(a,1,1,1)),flip(a)]. 1690 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(571(a,1),1681(a,1,1,1)),flip(a)]. 1691 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(934(a,1),1687(a,1,2)),flip(a)]. 1692 (x \ 1) * (T(x \ R(x,y,z),x \ 1) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1159(a,1),1687(a,1,2,1,1))]. 1693 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(18(a,1),1675(a,1,2,1,2,1))]. 1695 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(18(a,1),1678(a,1,2,1,1))]. 1696 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1684(a,1),1693(a,2,1))]. 1697 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1696(a,1),19(a,1,2)),flip(a)]. 1698 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(151(a,1),1697(a,2,2,1,1))]. 1699 x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. [para(1697(a,2),222(a,1,2)),flip(b)]. 1700 T(x,x * R(x \ 1,y,z)) = x. [hyper(172,a,821,a(flip),b,1639,a(flip))]. 1701 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [hyper(172,a,1639,a(flip),b,821,a(flip))]. 1703 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(73(a,1),1700(a,1,2,2,1))]. 1704 T(x,(y / (x * y)) * x) = x. [para(593(a,2),1700(a,1,2))]. 1705 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(581(a,1),1700(a,1,2))]. 1706 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1158(a,1),1700(a,1,2))]. 1707 T(x / y,(y / x) * (x / y)) = x / y. [para(708(a,1),1700(a,1,2))]. 1708 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1704(a,1),1108(a,1,1,1)),flip(a)]. 1709 T(x \ R(x,y,z),x \ 1) = x \ R(x,y,z). [hyper(40,a,1706,a)]. 1710 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1706(a,1),43(a,1,1)),flip(a)]. 1711 T(x / (y * x),y * (x / (y * x))) = x / (y * x). [para(20(a,1),1707(a,1,2,1))]. 1712 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1703(a,1),548(a,1,1,2))]. 1713 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1705(a,1),718(a,1,1))]. 1714 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1701(a,1),1688(a,2,2,1))]. 1715 R(x / (y * x),y,x / (y * x)) = T(x / (y * x),y). [para(1711(a,1),718(a,1,1))]. 1716 T(x \ 1,R(x,y,z)) \ T((x \ 1) * R(x,y,z),x \ 1) = T(R(x,y,z),x \ 1). [para(1713(a,1),1319(a,1,1))]. 1717 R(x / (y * x),y,x / (y * x)) = R(y \ 1,y,x). [hyper(255,a,587,a(flip),b,1715,a)]. 1718 R(x \ 1,x,y) \ T((y / (x * y)) * x,y / (x * y)) = T(x,y / (x * y)). [para(1717(a,1),1319(a,1,1))]. 1719 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(396(a,1),1640(a,1,1))]. 1720 T(x,x * L(x \ 1,y,z)) = x. [hyper(172,a,824,a(flip),b,1643,a(flip))]. 1721 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(172,a,1643,a(flip),b,430,a(flip))]. 1723 K(x,x * L(x \ 1,y,z)) = 1. [hyper(41,a,1720,a)]. 1724 T(x,x * ((y * x) \ y)) = x. [para(162(a,1),1720(a,1,2,2))]. 1725 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(342(a,1),1720(a,1,2,2))]. 1726 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(572(a,1),1720(a,1,2))]. 1727 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1150(a,1),1720(a,1,2))]. 1728 (((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y). [para(1724(a,1),548(a,1,1,2))]. 1729 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(940(a,1),1724(a,1,2,2,1))]. 1730 T(x \ (x / y),(x \ (x / y)) * y) = x \ (x / y). [para(73(a,1),1725(a,1,2,2))]. 1731 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1725(a,1),547(a,1,2)),flip(a)]. 1732 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1726(a,1),718(a,1,1))]. 1733 T((x \ (x / y)) * y,x \ (x / y)) = (x \ (x / y)) * y. [hyper(40,a,1730,a)]. 1734 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(40,a,1729,a)]. 1735 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(23,a,764,a,b,1731,a)]. 1736 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(37(a,2),1644(a,1,1))]. 1737 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(255,a,1652,a,b,1655,a)]. 1738 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(1737(a,1),667(a,1,1)),flip(a)]. 1739 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(19(a,1),1661(a,2,2,1))]. 1741 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(151(a,1),1739(a,2,2))]. 1743 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(127(a,1),1663(a,1,1)),flip(a)]. 1744 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(831(a,1),1663(a,1,1)),flip(a)]. 1745 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [para(832(a,1),1663(a,1,1))]. 1746 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1489(a,1),1666(a,1,1,2)),flip(a)]. 1747 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1448(a,2),1746(a,2,1))]. 1748 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(255,a,1691,a,b,1669,a(flip)),flip(a)]. 1749 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(19(a,1),1669(a,1,2,2,1,2,2))]. 1750 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(114(a,2),1669(a,1,2,2,1,2)),flip(a)]. 1751 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(1699,a,1689,a),flip(a)]. 1752 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1719(a,1),223(a,1,2))]. 1753 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(848(a,1),1719(a,1,1)),flip(a)]. 1754 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(974(a,2),1719(a,1,1))]. 1755 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(60(a,1),1754(a,2,2,2,1,2))]. 1757 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(127(a,1),1755(a,2,2))]. 1758 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(289(a,1),1755(a,2,2))]. 1759 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(23,a,122,a(flip),b,1757,a)]. 1760 (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). [para(20(a,1),1758(a,1,1,1))]. 1761 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(763(a,1),1758(a,1,1,1))]. 1762 ((x / K(y \ 1,y)) * y) * K(y \ 1,y) = x * y. [hyper(308,a,1760,a),flip(a)]. 1763 ((x * (y \ 1)) / K(y \ 1,y)) * y = R(x,y \ 1,y). [hyper(23,a,465,a,b,1762,a)]. 1764 (x * (y \ 1)) / K(y \ 1,y) != z | R(x,y \ 1,y) / y = z. [para(1759(a,1),304(a,1,1)),flip(b)]. 1765 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(81,a,556,a(flip),b,771,a)]. 1766 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(21(a,1),1765(a,1,1,1)),flip(a)]. 1767 x * R(x \ K(x,x \ 1),y,z) = R(1 / x,y,z) / (x \ 1). [para(1455(a,1),1765(a,1,1,1)),flip(a)]. 1768 R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). [para(1450(a,1),1767(a,1,2,1)),flip(a)]. 1769 (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). [para(351(a,1),1768(a,1,1)),flip(a)]. 1770 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(806(a,1),418(a,1,2)),flip(a)]. 1771 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(443(a,1),835(a,1,2,1))]. 1772 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(342(a,1),1033(a,1,2))]. 1773 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [para(1772(a,1),70(a,1,2))]. 1774 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(342(a,1),1169(a,1,1)),flip(a)]. 1775 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(18(a,1),1774(a,1,2)),flip(a)]. 1776 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1774(a,1),19(a,1,2))]. 1777 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(172,a,1776,a,b,19,a)]. 1779 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(18(a,1),1775(a,1,1)),flip(a)]. 1780 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(1779(a,1),19(a,1,2))]. 1781 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(255,a,708,a(flip),b,1181,a(flip))]. 1782 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(70(a,1),1781(a,1,2)),flip(a)]. 1783 (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). [hyper(302,a,1782,a),flip(a)]. 1785 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [para(1783(a,1),19(a,1,2))]. 1786 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(172,a,1785,a,b,19,a)]. 1788 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(400(a,1),1230(a,1,2)),flip(a)]. 1789 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(400(a,1),1788(a,1,2)),flip(a)]. 1790 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1789(a,1),51(a,1,1)),flip(a)]. 1791 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1789(a,1),1318(a,1,1))]. 1792 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(255,a,1448,a,b,1275,a)]. 1793 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(20(a,1),1437(a,2,1))]. 1794 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1793(a,1),397(a,1,1)),flip(a)]. 1795 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(22,a,183,a,b,1794,a),flip(a)]. 1796 L(K(x,x \ 1) \ y,K(x,x \ 1),x) = x * (((x \ 1) \ 1) \ y). [hyper(255,a,1105,a(flip),b,1526,a)]. 1797 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(255,a,667,a(flip),b,1738,a)]. 1798 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(31(a,2),1797(a,2,1))]. 1799 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(31(a,2),1798(a,1,1))]. 1800 T(K(1 / x,y),1 / x) = T(K(1 / x,y),x \ 1). [para(564(a,1),1799(a,1,2)),flip(a)]. 1801 (1 / x) * T(K(1 / x,y),x \ 1) = K(1 / x,y) * (1 / x). [para(1800(a,1),127(a,1,2))]. 1802 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [para(351(a,1),1769(a,1,2)),flip(a)]. 1803 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [para(1802(a,1),21(a,1,1))]. 1804 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [para(70(a,1),1802(a,1,1)),flip(a)]. 1805 (x / (y \ x)) * ((y \ x) / x) = ((y \ x) / x) / (y \ 1). [para(70(a,1),1802(a,1,2,1)),flip(a)]. 1807 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(70(a,1),1804(a,1,2)),flip(a)]. 1808 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(1807(a,1),1766(a,1,2,1,2))]. 1809 ((x \ y) / y) / (x \ 1) = x * ((x \ y) / y). [hyper(302,a,1805,a),flip(a)]. 1811 (x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y. [para(1809(a,1),21(a,1,1))]. 1812 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [hyper(255,a,350,a,b,1811,a)]. 1813 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(255,a,1639,a(flip),b,1004,a(flip))]. 1814 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(255,a,1639,a(flip),b,1005,a(flip))]. 1815 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [hyper(255,a,1643,a(flip),b,1007,a(flip))]. 1816 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(255,a,1643,a(flip),b,1008,a(flip))]. 1817 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1489(a,1),1816(a,2,1,2))]. 1818 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1747(a,1),1817(a,1,2))]. 1819 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(22,a,112,a(flip),b,1818,a)]. 1820 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1448(a,2),1818(a,2,1))]. 1821 x \ (K(x,x \ 1) * y) = K(x,x \ 1) * (x \ y). [hyper(87,a,1820,a)]. 1822 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(22,a,1543,a(flip),b,1820,a)]. 1823 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(18(a,1),1820(a,1,2,2)),flip(a)]. 1824 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(37(a,2),1820(a,1,2,2))]. 1825 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1451(a,1),1820(a,1,2,1))]. 1826 (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. [para(1529(a,1),1820(a,1,2,1))]. 1827 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y). [hyper(255,a,1465,a,b,1823,a(flip)),flip(a)]. 1828 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(1819(a,1),24(a,1)),flip(a)]. 1829 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(255,a,1278,a(flip),b,1822,a)]. 1830 L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). [hyper(22,a,1525,a,b,1827,a),flip(a)]. 1831 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(1 / y,y),1 / y). [para(73(a,1),1830(a,1,2,2)),flip(a)]. 1832 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). [para(1529(a,1),1830(a,1,2)),flip(a)]. 1833 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(801,a,1012,a),flip(a)]. 1834 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(780,a,1012,a)]. 1835 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(571(a,1),1833(a,1,1))]. 1836 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(535,a,1835,a)]. 1837 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(371,a,1835,a),flip(a)]. 1838 ((x / y) * L(y,z,u)) * y = x * L(y,z,u). [hyper(255,a,98,a(flip),b,1835,a)]. 1839 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(87,a,1835,a)]. 1840 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(80,a,98,a(flip),b,1835,a)]. 1841 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1835(a,1),272(a,1,1))]. 1842 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(172,a,1837,a,b,19,a)]. 1844 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [hyper(81,a,112,a(flip),b,1838,a),flip(a)]. 1845 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1839(a,1),1061(a,1,1)),flip(a)]. 1846 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1842(a,1),185(a,1,1))]. 1847 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(87,a,1844,a),flip(a)]. 1848 (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. [para(1844(a,1),173(a,2)),flip(a)]. 1849 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1845(a,1),573(a,1,2))]. 1850 L(x,y,z) / T(x,x \ 1) = (x \ 1) * L(x,y,z). [hyper(81,a,62,a(flip),b,1849,a)]. 1851 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(255,a,570,a(flip),b,1013,a)]. 1852 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(788,a,1014,a)]. 1853 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(255,a,184,a(flip),b,1019,a)]. 1854 T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). [para(1083(a,1),1853(a,1,2,1,2))]. 1855 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(112(a,1),1053(a,1,1))]. 1856 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [hyper(916,a,1059,a)]. 1857 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(122(a,1),1059(a,1,2))]. 1858 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(814,a,1121,a)]. 1859 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1194(a,1),1858(a,1,1))]. 1860 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(96,a,1859,a)]. 1861 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(167(a,1),1859(a,1,1,2)),flip(a)]. 1862 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(1859(a,1),304(a,1,1)),flip(b)]. 1863 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1860(a,1),949(a,1,3)),flip(a)]. 1864 T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1 = x \ (((T(y,x) \ y) * x) \ x). [para(1861(a,1),1091(a,1,2,1)),flip(a)]. 1865 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1861(a,1),1587(a,1,1,2,1))]. 1866 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1186(a,1),374(a,1))]. 1867 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(73(a,1),1226(a,1,2)),flip(a)]. 1868 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(16(a,1),1867(a,2,1,1))]. 1869 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1868(a,1),1720(a,1,2))]. 1870 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1869(a,1),404(a,1,1,2)),flip(a)]. 1871 L((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(70(a,1),1293(a,1,1,2,1))]. 1872 (L(x / (y / z),u,w) * (y / z)) * z = y * L(y \ (x * z),u,w). [hyper(255,a,570,a(flip),b,1322,a)]. 1873 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(87,a,1324,a)]. 1874 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(87,a,1325,a)]. 1875 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(16(a,1),1326(a,2,1,1,1))]. 1876 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(255,a,578,a(flip),b,1875,a)]. 1877 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(578(a,1),1876(a,1,1))]. 1878 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(96,a,1877,a),flip(a)]. 1879 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(35(a,2),1878(a,1,1)),flip(a)]. 1880 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(255,a,428,a(flip),b,1330,a)]. 1881 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(127(a,1),1880(a,1,1,1,1,2))]. 1882 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(184(a,1),1881(a,2,2))]. 1883 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(87,a,1333,a)]. 1884 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(255,a,1499,a,b,1542,a(flip)),flip(a)]. 1885 K(T(x \ 1,x) \ 1,T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). [para(1252(a,1),1546(a,1,1))]. 1886 K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(x,x \ 1). [para(1251(a,1),1885(a,1,2))]. 1887 K(T(x,x \ 1),T(x \ 1,x)) = K(x,x \ 1). [hyper(255,a,1536,a(flip),b,1886,a(flip)),flip(a)]. 1888 K(T(x,x \ 1),T(x,x \ 1) \ 1) = K(x,x \ 1). [para(1242(a,2),1887(a,1,2))]. 1889 K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = T(x,x \ 1) \ (K(x,x \ 1) * y). [para(1888(a,1),1821(a,1,2,1)),flip(a)]. 1890 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(1341(a,1),1551(a,1,2))]. 1891 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(70(a,1),1593(a,1,1,1)),flip(a)]. 1892 T(T(x,y) \ 1,T(x,x \ 1)) = T(T(x,y) \ 1,x). [hyper(1659,a,1662,a),flip(a)]. 1893 T(T(x,y) \ 1,(x \ 1) \ 1) = T(T(x,y) \ 1,x). [para(128(a,1),1892(a,1,2))]. 1894 ((x \ 1) \ 1) * T(T(x,y) \ 1,x) = (T(x,y) \ 1) * ((x \ 1) \ 1). [para(1893(a,1),127(a,1,2))]. 1895 (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). [para(656(a,1),1670(a,1,1))]. 1896 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(587(a,1),1708(a,1,2))]. 1897 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(185(a,1),1791(a,1,2))]. 1898 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(255,a,1698,a(flip),b,1897,a)]. 1899 L(x,1 / (1 / y),K(1 / (1 / y),(1 / (1 / y)) \ 1)) = L(x,K(y,y \ 1),1 / (1 / y)). [para(1534(a,1),1831(a,2,2))]. 1900 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(570(a,1),1834(a,2,1))]. 1901 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(570(a,1),1851(a,1,1))]. 1902 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(578(a,1),1852(a,2,1))]. 1903 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(789(a,1),1856(a,2,1))]. 1904 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). [para(570(a,1),1872(a,1,1))]. 1905 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(17(a,1),1873(a,1,2,2,1,2)),flip(a)]. 1906 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(33(a,2),1905(a,1,1)),flip(a)]. 1907 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(17(a,1),1874(a,1,2,2,1,2)),flip(a)]. 1908 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(19(a,1),1883(a,1,2,2,1))]. 1909 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(412,a,1908,a)]. 1910 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1908(a,1),412(a,1))]. 1911 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(255,a,1392,a(flip),b,1909,a)]. 1912 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(70(a,1),1909(a,1,2,1)),flip(a)]. 1913 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(941(a,1),1909(a,1,2)),flip(a)]. 1914 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1041(a,1),1909(a,1,2)),flip(a)]. 1915 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1357(a,1),1909(a,1,2)),flip(a)]. 1916 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1909(a,2),1378(a,1,2))]. 1917 ((x * y) / x) * ((y * (((x * y) / x) \ 1)) / y) = K(y,1 / ((x * y) / x)). [para(1630(a,1),1909(a,1,2)),flip(a)]. 1918 x * K(y,(y / (x \ 1)) / y) = (y * x) / y. [para(1911(a,2),19(a,1,2))]. 1919 K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). [para(1083(a,1),1911(a,2,2,1))]. 1920 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1159(a,1),1911(a,2,2,1))]. 1921 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(70(a,1),1916(a,1,2,2,1)),flip(a)]. 1922 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(121(a,2),1921(a,1,2))]. 1923 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(20(a,1),1922(a,2,2,2))]. 1924 T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). [para(1923(a,1),1075(a,1,2,1)),flip(a)]. 1925 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(398(a,2),1913(a,1,2,1))]. 1926 x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). [para(1923(a,1),1924(a,1,1)),flip(a)]. 1927 (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). [para(17(a,1),1926(a,1,2)),flip(a)]. 1928 (x * K(x,y)) * (x \ 1) = K(x,y). [hyper(255,a,18,a(flip),b,1927,a)]. 1929 T(x * K(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(172,a,1927,a,b,259,a(flip))]. 1930 K(x,y) / (x \ 1) = x * K(x,y). [hyper(81,a,18,a(flip),b,1927,a)]. 1934 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(255,a,1008,a(flip),b,1900,a(flip)),flip(a)]. 1935 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(255,a,824,a(flip),b,1900,a(flip))]. 1936 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(172,a,1900,a(flip),b,1008,a(flip)),flip(a)]. 1938 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(37(a,2),1936(a,1,2,1,2)),flip(a)]. 1939 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(80,a,1938,a,b,xx)]. 1940 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(18(a,1),1939(a,1,2,1,2,1)),flip(a)]. 1942 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1684(a,1),1940(a,1,1)),flip(a)]. 1943 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(255,a,1690,a(flip),b,1942,a(flip))]. 1945 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(255,a,1005,a(flip),b,1902,a(flip)),flip(a)]. 1946 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(172,a,1902,a(flip),b,1325,a),flip(a)]. 1947 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(172,a,1902,a(flip),b,1005,a(flip)),flip(a)]. 1948 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(80,a,1902,a(flip),b,1325,a),flip(a)]. 1949 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(18(a,1),1902(a,1,2,1)),flip(a)]. 1951 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(18(a,1),1949(a,1,1,2,1))]. 1952 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(371,a,1951,a),flip(a)]. 1953 ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. [hyper(308,a,1951,a),flip(a)]. 1954 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(87,a,1951,a)]. 1955 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1953(a,1),304(a,1,1)),flip(b)]. 1956 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1954(a,1),1061(a,1,1)),flip(a)]. 1957 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1956(a,1),184(a,1,2)),flip(a)]. 1958 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1956(a,1),573(a,1,2))]. 1959 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(81,a,62,a(flip),b,1958,a)]. 1961 (x * y) * R(x,y,T(x,y)) = T(x * y,x) * T(x,y). [para(987(a,1),1958(a,1,1)),flip(a)]. 1962 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(255,a,601,a(flip),b,1959,a(flip)),flip(a)]. 1963 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(37(a,2),1947(a,1,2,1,2)),flip(a)]. 1964 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(81,a,1963,a,b,578,a)]. 1965 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(80,a,1963,a,b,xx)]. 1966 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(18(a,1),1964(a,1,1,1,2,1)),flip(a)]. 1969 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(255,a,1053,a(flip),b,1903,a(flip))]. 1970 (x * (((x * y) * (x \ 1)) / (x * y))) * y = (x * y) * (y / (x * y)). [para(19(a,1),1903(a,1,2,1)),flip(a)]. 1972 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1622(a,1),1969(a,1,1)),flip(a)]. 1973 (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). [hyper(96,a,1904,a)]. 1974 R(x,y,z) * (z * R(z \ (y * z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. [para(149(a,1),1945(a,1,2,2,1,2))]. 1975 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [para(16(a,1),1973(a,1,1,2,1,2)),flip(a)]. 1976 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(35(a,2),1975(a,1,1)),flip(a)]. 1977 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(255,a,29,a,b,448,a),flip(a)]. 1978 L(x,y,T(z,z \ u)) = L(x,y,(z \ u) \ u). [hyper(255,a,597,a(flip),b,599,a(flip)),flip(a)]. 1979 (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [hyper(255,a,1193,a(flip),b,694,a(flip)),flip(a)]. 1980 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(813(a,1),914(a,1,1))]. 1981 (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). [para(735(a,1),1980(a,1,1,1,2)),flip(a)]. 1982 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(193(a,1),985(a,1,2))]. 1983 T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(47(a,2),1982(a,1,1,1))]. 1984 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(385(a,1),1983(a,1,1))]. 1985 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1984(a,1),43(a,1,1)),flip(a)]. 1986 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(920(a,1),1985(a,1,1))]. 1987 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(21(a,1),1986(a,1,1)),flip(a)]. 1988 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(472(a,1),1987(a,2,2))]. 1989 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(21(a,1),1988(a,1,1))]. 1990 T(x,x * (y \ 1)) = T(x,y \ x). [para(129(a,1),1989(a,1,2)),flip(a)]. 1991 T(x,(1 / y) \ x) = T(x,x * y). [para(73(a,1),1990(a,1,2,2)),flip(a)]. 1992 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(190(a,1),1415(a,1,1))]. 1993 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1496(a,1),1992(a,1,1))]. 1994 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(1064,a,1487,a(flip))]. 1995 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(477(a,1),1596(a,2,2))]. 1996 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(16(a,1),1995(a,2,2,1))]. 1997 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1667(a,1),1996(a,1,1))]. 1998 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(226,a,1997,a)]. 2000 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(255,a,1668,a,b,1998,a(flip)),flip(a)]. 2001 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1667(a,2),2000(a,1,2))]. 2002 x \ (((T(y,x) \ y) * x) \ x) = ((T(y,x) \ y) * x) \ 1. [para(1861(a,1),1864(a,1,1)),flip(a)]. 2003 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * ((y \ 1) \ ((y \ 1) * (y * x))). [para(433(a,1),1979(a,1,2,2)),flip(a)]. 2004 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1712(a,1),1165(a,1,1))]. 2005 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(255,a,186,a(flip),b,2004,a(flip)),flip(a)]. 2006 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(896(a,1),1209(a,1,2,1))]. 2007 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(2006(a,1),19(a,1,2))]. 2008 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(255,a,1555,a(flip),b,2007,a(flip))]. 2009 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(255,a,1903,a(flip),b,1331,a(flip))]. 2010 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [hyper(172,a,1638,a(flip),b,1337,a(flip)),flip(a)]. 2011 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(1109(a,1),1337(a,2,2))]. 2012 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(31(a,2),2011(a,1,2,1)),flip(a)]. 2013 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(1524(a,1),1532(a,2,1))]. 2014 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(87,a,2013,a)]. 2015 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) != z | K(x,x \ 1) * y = z. [para(2014(a,1),220(a,1,2)),flip(b)]. 2016 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(31(a,2),1563(a,1,2,1)),flip(a)]. 2017 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1200(a,1),2016(a,1,2))]. 2018 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(87,a,2017,a)]. 2019 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1725(a,1),1565(a,2,2,2))]. 2020 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(19(a,1),1586(a,2,1))]. 2021 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1535(a,1),1642(a,1,2))]. 2022 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1535(a,1),2021(a,2,1,2))]. 2023 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1483(a,1),2022(a,2,1))]. 2025 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(586(a,1),1714(a,2,2))]. 2026 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(586(a,1),2025(a,1,1,2))]. 2027 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(163(a,1),2026(a,1,1,2))]. 2028 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(163(a,1),2027(a,2,2))]. 2029 T(x,x * (y / (x * y))) = x. [hyper(40,a,2028,a)]. 2030 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(255,a,1896,a,b,2028,a(flip)),flip(a)]. 2031 T(x,x * ((x \ y) / y)) = x. [para(19(a,1),2029(a,1,2,2,2))]. 2032 T(x / y,(x / y) * (y / x)) = x / y. [para(21(a,1),2029(a,1,2,2,2))]. 2033 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(2031(a,1),276(a,1,1)),flip(a)]. 2034 T(x / (y * x),(x / (y * x)) * y) = x / (y * x). [para(20(a,1),2032(a,1,2,2))]. 2035 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(2032(a,1),185(a,1,1)),flip(a)]. 2036 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(255,a,129,a(flip),b,2035,a)]. 2037 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(2036(a,1),1584(a,2,1,2))]. 2038 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(2033(a,1),1584(a,2,1,2))]. 2039 T((x / (y * x)) * y,x / (y * x)) = (x / (y * x)) * y. [hyper(40,a,2034,a)]. 2040 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(127(a,1),1753(a,1,2)),flip(a)]. 2041 (x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)). [para(1219(a,2),1753(a,1,2)),flip(a)]. 2042 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(1683,a,2040,a)]. 2043 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(75(a,1),2042(a,1,1))]. 2044 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(18(a,1),2043(a,2,2,1,2)),flip(a)]. 2045 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(18(a,1),2044(a,1,2,1)),flip(a)]. 2046 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(105(a,1),2044(a,1,2,1)),flip(a)]. 2047 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(2044(a,1),409(a,1,2))]. 2048 T((x \ 1) * (x * y),x) != (x \ 1) * z | y * x = z. [para(2045(a,2),24(a,1))]. 2049 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(2045(a,1),127(a,1,2)),flip(a)]. 2050 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(255,a,190,a(flip),b,2049,a)]. 2052 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(17(a,1),1770(a,2,2,1,2,2))]. 2053 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(1909(a,2),1770(a,1,2))]. 2054 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(17(a,1),2053(a,2,2,1,2,2))]. 2055 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(37(a,2),2054(a,1,2,2,1,2)),flip(a)]. 2057 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(172,a,1903,a(flip),b,2055,a(flip))]. 2058 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(255,a,1909,a(flip),b,2057,a),flip(a)]. 2059 K(x,(x / T(x,y)) / x) = T(x * (1 / x),y). [para(19(a,1),2057(a,1,1,2,1)),flip(a)]. 2060 T(x \ T(x,x / (x * y)),z) = K(x,(x / T(y,z)) / x). [para(1379(a,2),2057(a,1,1))]. 2061 K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). [para(1912(a,1),2057(a,1,1)),flip(a)]. 2062 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [hyper(255,a,1909,a(flip),b,2059,a(flip)),flip(a)]. 2063 T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). [para(1387(a,1),2061(a,1,2,1,2)),flip(a)]. 2064 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(1083(a,1),2062(a,1,2,1))]. 2066 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1448(a,2),2064(a,2,1))]. 2067 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(2066(a,1),2001(a,1,2))]. 2068 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(2067(a,1),24(a,1))]. 2069 T(K(x,y / x),K(y / x,z)) = K(x,y / x). [para(70(a,1),2063(a,2,2,1))]. 2070 T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). [para(20(a,1),2069(a,1,1,2))]. 2071 T(K(x,y),K(y,z)) = K(x,(y * x) / x). [para(20(a,1),2070(a,1,2,1))]. 2072 T(K(x,y),K(y,z)) = K(x,y). [para(20(a,1),2071(a,2,2))]. 2073 K(K(x,y),K(y,z)) = 1. [hyper(41,a,2072,a)]. 2074 T(K(x,y),K(z,x)) = K(x,y). [hyper(40,a,2072,a)]. 2075 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(2072(a,1),127(a,1,2))]. 2076 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2072(a,1),225(a,1,2))]. 2077 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2072(a,1),183(a,1,2,1)),flip(a)]. 2078 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2072(a,1),184(a,1,2,1)),flip(a)]. 2079 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2072(a,1),362(a,1,2,1))]. 2081 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2074(a,1),225(a,1,2))]. 2082 R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). [para(2074(a,1),184(a,1,2,1)),flip(a)]. 2083 K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5. [para(2074(a,1),363(a,1,2,1))]. 2086 (K(x,y) * K(z,x)) \ (K(z,x) * (K(x,y) * u)) != w | L(u,K(x,y),K(z,x)) = w. [para(2075(a,2),431(a,1,1))]. 2087 ((x * K(y,z)) * K(z,u)) / (K(z,u) * K(y,z)) != w | R(x,K(y,z),K(z,u)) = w. [para(2075(a,2),466(a,1,2))]. 2088 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = T(x,y) * (1 / T(x,y)). [para(19(a,1),2058(a,1,2,1)),flip(a)]. 2089 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(398(a,2),2058(a,2,1,2,1)),flip(a)]. 2090 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = K(T(x,y),T(x,y) \ 1). [hyper(255,a,1448,a,b,2088,a)]. 2091 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [para(1913(a,1),2090(a,1,1)),flip(a)]. 2092 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1639(a,1),1813(a,1,2)),flip(a)]. 2093 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1158(a,1),2092(a,1,1)),flip(a)]. 2094 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1643(a,1),1815(a,1,2)),flip(a)]. 2095 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1150(a,1),2094(a,1,1)),flip(a)]. 2096 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1451(a,1),1825(a,2,1))]. 2097 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(87,a,2096,a)]. 2098 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(255,a,1488,a,b,2097,a(flip)),flip(a)]. 2099 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). [para(382(a,1),1826(a,1,2,2)),flip(a)]. 2100 R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). [para(19(a,1),1854(a,1,2,1)),flip(a)]. 2101 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1111(a,1),1915(a,1,2,1))]. 2102 ((x * y) / x) * ((((x * y) / x) \ y) / y) = K(y,1 / ((x * y) / x)). [para(1146(a,1),1917(a,1,2,1))]. 2103 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(824(a,1),1935(a,1,1))]. 2104 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(81,a,98,a(flip),b,2103,a)]. 2105 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(339(a,1),2103(a,1,1,2,2)),flip(a)]. 2106 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(339(a,1),2105(a,1,2,2)),flip(a)]. 2107 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1448(a,2),2106(a,1,1,2))]. 2108 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1448(a,2),2107(a,2,2))]. 2109 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(87,a,2108,a)]. 2110 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(81,a,98,a(flip),b,2108,a)]. 2111 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(2109(a,1),1061(a,1,1)),flip(a)]. 2112 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(2110(a,1),129(a,1,1))]. 2113 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(37(a,2),1946(a,1,1))]. 2114 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(37(a,2),2113(a,1,2,1,1))]. 2115 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(18(a,1),2114(a,2,1,2,1))]. 2116 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(255,a,231,a(flip),b,2019,a)]. 2118 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(2116(a,1),1143(a,1,1)),flip(a)]. 2119 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(255,a,1777,a(flip),b,2118,a(flip)),flip(a)]. 2120 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(374,a,2119,a)]. 2121 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(18(a,1),2119(a,1,1,2))]. 2122 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(18(a,1),2120(a,1,3))]. 2123 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(2120(a,1),1905(a,1,2)),flip(a)]. 2124 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(18(a,1),2121(a,2,2))]. 2125 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(374,a,2124,a)]. 2126 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(2124(a,1),19(a,1,2))]. 2127 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(2124(a,1),70(a,1,2))]. 2128 L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). [para(2125(a,1),346(a,1,1)),flip(a)]. 2129 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(162(a,2),2126(a,1,1,1)),flip(a)]. 2130 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(2127(a,1),1210(a,2,1,1,2)),flip(a)]. 2131 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(540,a,2129,a)]. 2132 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(255,a,162,a(flip),b,2122,a(flip)),flip(a)]. 2133 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(255,a,1448,a,b,2123,a)]. 2134 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(2133(a,1),19(a,1,2)),flip(a)]. 2135 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(19(a,1),2037(a,2,1))]. 2136 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(255,a,67,a(flip),b,2135,a)]. 2138 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * 1,y)) * z. [para(67(a,1),2041(a,1,1,2,1,2)),flip(a)]. 2139 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(17(a,1),2138(a,2,1,2,1))]. 2141 (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1. [hyper(22,a,234,a(flip),b,2139,a)]. 2143 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(428(a,1),786(a,1,1)),flip(a)]. 2144 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(255,a,427,a(flip),b,900,a)]. 2145 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ 1 = y \ ((y * (x * T(x \ 1,y))) \ y). [para(2144(a,1),1147(a,1,2,1)),flip(a)]. 2146 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(2144(a,1),1194(a,1,1)),flip(a)]. 2147 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(2144(a,1),1623(a,1,2)),flip(a)]. 2148 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(255,a,1241,a(flip),b,948,a(flip)),flip(a)]. 2150 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(2148(a,1),627(a,1,1))]. 2151 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(255,a,186,a(flip),b,2150,a(flip))]. 2152 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(2151(a,1),1913(a,1,2))]. 2153 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(342(a,1),1157(a,1,2,2))]. 2154 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [para(2153(a,1),19(a,1,2))]. 2155 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(2154(a,1),790(a,1,2,1))]. 2156 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(2154(a,1),1909(a,2,2,1)),flip(a)]. 2157 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1410(a,1),223(a,1))]. 2158 R(x \ 1,x,y) \ ((y / (x * y)) * x) = T(x,y / (x * y)). [para(2039(a,1),1718(a,1,2))]. 2159 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [hyper(709,a,2158,a)]. 2160 (x * R(x \ 1,x,y)) \ (T(x,y / (x * y)) * R(x \ 1,x,y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2159(a,1),177(a,1,2,1))]. 2161 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(1884(a,1),1761(a,1,1))]. 2162 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(255,a,1861,a(flip),b,1865,a)]. 2163 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(255,a,2103,a(flip),b,2161,a(flip)),flip(a)]. 2165 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(189(a,2),2163(a,1,1))]. 2166 (L(x,y,z) * u) \ ((x * (x \ u)) * L(T(x,x \ u),y,z)) = a(x,x \ u,L(T(x,x \ u),y,z)). [para(1421(a,1),568(a,1,1))]. 2167 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(127(a,1),836(a,1,2,1,1)),flip(a)]. 2168 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(172,a,1639,a(flip),b,2167,a),flip(a)]. 2169 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(594,a,2168,a),flip(a)]. 2170 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). [para(1727(a,1),2168(a,1,2,1,1)),flip(a)]. 2171 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(927(a,1),2169(a,2,1,2))]. 2172 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1253(a,1),2171(a,1,1,2)),flip(a)]. 2173 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(23,a,1658,a(flip),b,2172,a)]. 2174 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(2173(a,1),129(a,1,1))]. 2175 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(255,a,1741,a(flip),b,2174,a(flip))]. 2177 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(663(a,1),2175(a,1,1))]. 2178 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(2175(a,1),2141(a,1,2,2))]. 2179 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(87,a,2178,a),flip(a)]. 2181 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(73(a,1),2177(a,1,2))]. 2182 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [para(2181(a,1),70(a,1,2))]. 2183 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(1200(a,2),2181(a,1,1))]. 2184 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(127(a,1),837(a,1,2,1,1)),flip(a)]. 2185 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(172,a,1643,a(flip),b,2184,a),flip(a)]. 2186 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(87,a,2185,a)]. 2187 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [hyper(255,a,340,a(flip),b,2185,a(flip))]. 2188 T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). [para(675(a,1),2185(a,2,1,2))]. 2189 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(342(a,1),2186(a,1,2,1,2))]. 2190 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(940(a,1),2187(a,2,2,1))]. 2191 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). [para(1095(a,1),2188(a,1,2))]. 2192 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(153(a,1),2191(a,2,1,2))]. 2193 (1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(22,a,2064,a,b,2192,a)]. 2194 (T(x,y) \ x) \ ((T(x,y) \ x) / x) = T(1 / x,T(x,y) \ x). [hyper(172,a,2193,a,b,19,a),flip(a)]. 2196 T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x). [para(2193(a,1),1096(a,1,1))]. 2197 (1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x). [hyper(255,a,129,a(flip),b,2196,a(flip))]. 2198 (1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1. [hyper(255,a,1091,a(flip),b,2197,a)]. 2199 (1 / x) * ((T(x,y) \ 1) * x) != z | T(x,y) \ 1 = z. [para(2197(a,2),1093(a,1))]. 2200 (T(x,y) \ x) * T(T(1 / x,T(x,y) \ x),x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2194(a,1),974(a,2,2,1)),flip(a)]. 2201 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(2152(a,1),2190(a,1,1)),flip(a)]. 2202 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(255,a,2091,a,b,2201,a)]. 2203 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(22,a,1448,a(flip),b,2202,a)]. 2204 (T(x,y) / x) * (1 / T(x,y)) = 1 / x. [para(2203(a,1),19(a,1,2))]. 2205 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(199(a,1),2203(a,1,2))]. 2206 T(x,y) * ((T(x,y) / x) \ (1 / x)) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2203(a,2),1464(a,1,2))]. 2208 L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x. [para(136(a,1),1036(a,1,1,1,1)),flip(a)]. 2209 (1 / x) * L(T((1 / x) \ 1,y),z,u) = L(T(x,y),z,u) / x. [hyper(1057,a,2208,a)]. 2210 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(73(a,1),2209(a,1,2,1,1))]. 2211 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(407(a,1),1148(a,1,1)),flip(a)]. 2212 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(19(a,1),1314(a,1,2,1)),flip(a)]. 2213 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(129(a,1),2212(a,1,1)),flip(a)]. 2214 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(129(a,1),2213(a,1,2)),flip(a)]. 2215 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(18(a,1),2214(a,1,1)),flip(a)]. 2216 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(18(a,1),2215(a,1,2)),flip(a)]. 2217 (1 / T(x,y)) * T(T(x,z),u) = T(T(x,z),u) / T(x,y). [para(21(a,1),1358(a,1,1,1)),flip(a)]. 2219 T(T(x,y),z) / T(x,x \ 1) = (x \ 1) * T(T(x,y),z). [para(199(a,1),2217(a,1,1)),flip(a)]. 2220 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(255,a,182,a(flip),b,2219,a)]. 2221 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(255,a,927,a(flip),b,2220,a)]. 2222 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(2221(a,1),2205(a,1,1))]. 2223 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(255,a,2175,a(flip),b,2222,a(flip))]. 2224 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [para(2223(a,1),73(a,1,1)),flip(a)]. 2225 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(128(a,1),2223(a,1,2,1))]. 2226 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(564(a,1),2223(a,1,2,1))]. 2227 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(288(a,1),2223(a,1,2,1)),flip(a)]. 2228 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [para(128(a,1),2224(a,1,1)),flip(a)]. 2229 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(564(a,1),2224(a,1,1)),flip(a)]. 2230 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2227(a,1),70(a,1,2))]. 2231 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2228(a,2),127(a,1,2))]. 2232 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(129(a,1),2228(a,1,1,1)),flip(a)]. 2234 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(255,a,1483,a,b,2230,a(flip)),flip(a)]. 2236 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2230(a,1),1890(a,1,1,1,2))]. 2237 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(660,a,2231,a)]. 2238 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(129(a,1),2231(a,1,2,1,1)),flip(a)]. 2239 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(476(a,1),2231(a,1,2,1,1)),flip(a)]. 2240 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(255,a,1523,a,b,2237,a)]. 2241 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(255,a,128,a,b,2237,a)]. 2242 (T(x,y) \ 1) \ (T(x,y) \ x) = (x \ 1) \ 1. [hyper(255,a,1089,a,b,2237,a(flip)),flip(a)]. 2243 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(2068,a,2240,a)]. 2244 K(K(x,x \ 1),y) = 1. [hyper(41,a,2243,a)]. 2245 T(x,K(y,y \ 1)) = x. [hyper(40,a,2243,a)]. 2246 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(80,a,2243,a(flip),b,2066,a)]. 2247 K(x,x \ 1) * y = y * K(x,x \ 1). [para(2243(a,1),127(a,1,2)),flip(a)]. 2249 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2243(a,1),225(a,1,2))]. 2251 K(K(x \ 1,x),y) = 1. [para(1451(a,1),2244(a,1,1))]. 2252 K(x,x \ 1) * y != z * K(x,x \ 1) | z = y. [para(2245(a,1),174(a,1,2))]. 2253 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2245(a,1),225(a,1,2))]. 2256 T(x,K(y \ 1,y)) = x. [para(1451(a,1),2245(a,1,2))]. 2258 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(42,a,2251,a)]. 2263 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2048,a,2256,a),flip(a)]. 2264 (x * K(y \ 1,y)) / x = K(y \ 1,y). [para(2256(a,1),144(a,1,2))]. 2266 K(x \ 1,x) * y != z * K(x \ 1,x) | z = y. [para(2256(a,1),174(a,1,2))]. 2267 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2256(a,1),225(a,1,2))]. 2269 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(255,a,1651,a,b,2258,a(flip)),flip(a)]. 2270 T((x \ 1) * x,y) = K(x \ 1,x). [para(189(a,1),2258(a,1,1))]. 2271 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2258(a,1),225(a,1,2))]. 2272 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [hyper(255,a,1822,a(flip),b,2247,a(flip))]. 2273 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2247(a,2),35(a,2,2)),flip(a)]. 2274 R(1 / x,x,K(y,y \ 1)) = K(y,y \ 1) / (K(y,y \ 1) * x). [para(2247(a,2),163(a,2,2))]. 2275 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2247(a,2),451(a,1,2))]. 2276 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) = R(T(z,y * K(x,x \ 1)),y,K(x,x \ 1)). [para(2247(a,2),574(a,1,1))]. 2277 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) != u | L(T(z,y),y,K(x,x \ 1)) = u. [para(2247(a,1),686(a,1,2))]. 2278 L(x,y,y \ 1) * K(y \ 1,y) = (y \ 1) * (y * x). [hyper(741,a,2263,a),flip(a)]. 2279 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(255,a,974,a(flip),b,2263,a)]. 2280 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [hyper(80,a,465,a(flip),b,2263,a)]. 2281 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(26,a,2263,a)]. 2282 L(x \ 1,x,K(y \ 1,y)) = (x * K(y \ 1,y)) \ K(y \ 1,y). [para(2263(a,1),162(a,2,1))]. 2283 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2263(a,1),112(a,1,1))]. 2284 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2263(a,2),451(a,1,2))]. 2286 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). [para(2263(a,2),574(a,1,1))]. 2287 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2263(a,1),686(a,1,2))]. 2288 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2263(a,2),292(a,1,1))]. 2289 ((x * y) / x) \ K(y \ 1,y) = T(((x * y) / x) \ 1,y). [para(2264(a,1),1665(a,1,2))]. 2291 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2269(a,1),1205(a,1,1))]. 2292 x * K(x \ (x / T(x,y)),x) = 1 / (1 / x). [para(2269(a,2),1483(a,1,2))]. 2293 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(255,a,405,a(flip),b,2232,a(flip)),flip(a)]. 2294 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2232(a,1),167(a,1,1,2))]. 2297 (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. [para(2242(a,1),19(a,1,2))]. 2299 L(x,T(x,y) \ 1,T(x,y)) = 1 / (1 / x). [hyper(1614,a,2292,a)]. 2300 T(x,y) \ (1 / (1 / x)) = (T(x,y) \ 1) * x. [hyper(80,a,2292,a(flip),b,1207,a)]. 2301 L(L(x,y,z),T(x,u) \ 1,T(x,u)) = L(1 / (1 / x),y,z). [para(2299(a,1),50(a,1,1)),flip(a)]. 2302 ((x \ 1) \ 1) * T(T(x,y) \ 1,x) = T(x,y) \ x. [hyper(255,a,1894,a,b,2297,a(flip)),flip(a)]. 2305 x * T(x \ (x / y),y) != z | K(y \ 1,y) * (x / y) = z. [para(974(a,1),2271(a,1))]. 2306 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1846(a,1),2279(a,2,2))]. 2307 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2279(a,1),2267(a,1))]. 2308 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(18(a,1),2293(a,2,1,1))]. 2309 T(x,((y * x) / y) \ 1) != z | T(x,x \ 1) = z. [para(2308(a,2),287(a,1))]. 2310 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(18(a,1),2294(a,1,1,2,1,1))]. 2311 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2294(a,1),226(a,1,1)),flip(b)]. 2313 T(((x * y) / x) * (((x * y) / x) \ K(y \ 1,y)),((x * y) / x) \ y) = K(y \ (((x * y) / x) \ y),y). [para(2289(a,2),1222(a,1,1,2))]. 2315 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(751,a,2288,a)]. 2316 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(167(a,1),2236(a,1,1))]. 2318 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [para(2247(a,2),2273(a,1,1))]. 2319 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(37(a,2),1736(a,1,2,1,1)),flip(a)]. 2320 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(832(a,1),2319(a,1,2))]. 2321 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1752,a,2320,a),flip(a)]. 2322 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(18(a,1),2321(a,1,2,1,2)),flip(a)]. 2323 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(167(a,1),2322(a,1,1,2,1,2)),flip(a)]. 2324 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(172,a,1901,a,b,1771,a(flip))]. 2325 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(172,a,1900,a(flip),b,1771,a(flip)),flip(a)]. 2326 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(581(a,1),1948(a,2,2,1))]. 2327 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1622(a,1),1972(a,1,2)),flip(a)]. 2328 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(96,a,2327,a)]. 2329 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2328(a,1),810(a,1,1))]. 2330 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(255,a,253,a(flip),b,2329,a(flip))]. 2331 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2330(a,1),627(a,1,1))]. 2332 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(255,a,129,a(flip),b,2331,a(flip))]. 2333 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(255,a,31,a,b,2332,a),flip(a)]. 2334 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(31(a,2),2333(a,2,1,2)),flip(a)]. 2335 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(2334(a,1),21(a,1,1))]. 2336 T(K(x,y),1 / y) = K(x,y). [para(2334(a,1),166(a,1,1))]. 2337 T(1 / x,K(y,x)) = 1 / x. [hyper(40,a,2336,a)]. 2338 T(x \ 1,K(y,x)) = T(1 / x,x). [para(2337(a,1),185(a,1,1)),flip(a)]. 2341 T(x \ 1,K(y,x)) = x \ 1. [hyper(255,a,129,a(flip),b,2338,a)]. 2343 T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). [para(2341(a,1),344(a,2,1))]. 2344 T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). [para(19(a,1),2343(a,1,1,1))]. 2345 T(x \ y,K(z,y \ x)) = x \ y. [hyper(255,a,342,a(flip),b,2344,a)]. 2346 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(2345(a,1),127(a,1,2))]. 2347 ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). [para(290(a,1),1981(a,1,2,1,2)),flip(a)]. 2348 (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). [para(167(a,1),2347(a,1,1)),flip(a)]. 2349 x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. [para(167(a,1),2348(a,1,2)),flip(a)]. 2350 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). [para(2349(a,1),1919(a,1,2,1)),flip(a)]. 2351 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). [para(20(a,1),2350(a,2,2))]. 2352 (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. [para(2351(a,1),19(a,1,2))]. 2355 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1903(a,1),2009(a,1,2)),flip(a)]. 2356 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1909(a,2),2355(a,1,1))]. 2357 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(169(a,1),2038(a,2,1))]. 2358 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(255,a,67,a(flip),b,2357,a)]. 2360 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(2358(a,1),1143(a,1,1)),flip(a)]. 2361 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(255,a,1786,a(flip),b,2360,a(flip)),flip(a)]. 2362 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(73(a,1),2361(a,1,1,2,1))]. 2363 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(73(a,1),2362(a,2,2,1))]. 2364 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(2363(a,1),19(a,1,2))]. 2365 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(2363(a,1),2136(a,1,1))]. 2366 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(20(a,1),2365(a,1,1,2))]. 2367 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(81,a,20,a(flip),b,2364,a),flip(a)]. 2368 K(1 / x,(y / (x * y)) * x) = 1. [para(20(a,1),2366(a,1,2,2))]. 2369 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(42,a,2368,a)]. 2370 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1866,a,2369,a)]. 2371 L(x \ 1,x,(x \ y) / y) = 1 / x. [para(19(a,1),2370(a,1,3,2))]. 2372 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(163(a,2),2370(a,1,3))]. 2373 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(2370(a,1),341(a,1,2))]. 2374 (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. [para(2371(a,1),341(a,1,2))]. 2375 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(2372(a,1),347(a,1,2))]. 2376 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(2373(a,1),1792(a,1,2))]. 2377 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(2376(a,1),19(a,1,2)),flip(a)]. 2379 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1176,a,2375,a)]. 2380 T(1 / (1 / x),y / (x * y)) = x. [para(163(a,1),2379(a,1,2))]. 2381 T(x,y / (x * y)) = T(x,x \ 1). [para(2380(a,1),1440(a,1,1)),flip(a)]. 2382 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(255,a,128,a(flip),b,2381,a)]. 2383 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(80,a,2381,a,b,1522,a)]. 2384 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(2381(a,1),1292(a,2,1))]. 2385 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(21(a,1),2382(a,1,2,2))]. 2386 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(2385(a,1),397(a,1,1))]. 2387 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(20(a,1),2367(a,1,1)),flip(a)]. 2388 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(2387(a,1),1211(a,1,1,2))]. 2389 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(1390,a,2386,a)]. 2390 T(x,y / (y * x)) = T(x,x \ 1). [hyper(2309,a,2389,a),flip(a)]. 2391 T(x,y / (y * x)) = (x \ 1) \ 1. [hyper(255,a,2308,a(flip),b,2389,a(flip))]. 2392 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2390(a,1),127(a,1,2))]. 2394 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(19(a,1),2391(a,1,2,2))]. 2396 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(70(a,1),2394(a,1,2))]. 2397 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(255,a,615,a(flip),b,2388,a(flip))]. 2399 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [para(2397(a,1),21(a,1,1))]. 2402 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(18(a,1),2130(a,1,1,1))]. 2403 x \ T(x,(y * x) \ y) = T(K(x,(y * x) \ y),x). [hyper(172,a,2402,a,b,19,a),flip(a)]. 2406 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2280(a,1),2315(a,1,1,2))]. 2407 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(814,a,845,a),flip(a)]. 2408 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(21(a,1),2407(a,1,2,1,2,2)),flip(a)]. 2409 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(789(a,1),2407(a,2,1))]. 2410 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(308,a,2408,a),flip(a)]. 2411 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2408(a,1),308(a,1))]. 2412 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(997,a,2410,a),flip(a)]. 2413 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(255,a,1332,a(flip),b,2410,a(flip)),flip(a)]. 2414 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [hyper(172,a,2412,a,b,19,a),flip(a)]. 2416 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(301(a,2),2413(a,2,1,2,1)),flip(a)]. 2417 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1903(a,1),2413(a,1,2)),flip(a)]. 2418 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(996(a,1),2411(a,1))]. 2420 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). [hyper(1054,a,2409,a),flip(a)]. 2421 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(308,a,2409,a),flip(a)]. 2422 (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). [hyper(172,a,2409,a(flip),b,1770,a),flip(a)]. 2424 T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(37(a,2),2422(a,1,1))]. 2425 T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(37(a,2),2424(a,1,2,1,2,1))]. 2426 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(255,a,427,a(flip),b,901,a)]. 2427 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(940(a,1),2426(a,2,2))]. 2428 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2427(a,1),1604(a,1,1)),flip(a)]. 2429 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(255,a,1423,a(flip),b,1032,a(flip)),flip(a)]. 2430 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = (L(x \ 1,y,z) * x) * x. [hyper(255,a,460,a(flip),b,1539,a)]. 2431 x * (x * L(x \ (x \ (1 / (1 / x))),y,z)) = (L(x \ 1,y,z) * x) * x. [hyper(1048,a,2430,a)]. 2432 x * (x * L(x \ K(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(1480(a,1),2431(a,1,2,2,1,2))]. 2433 x * (x * L(T(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(294(a,1),2432(a,1,2,2,1))]. 2434 (L(x \ 1,y,z) * x) * x = x * (L(x \ 1,y,z) * x). [para(183(a,1),2433(a,1,2)),flip(a)]. 2435 T(x,L(x \ 1,y,z) * x) = x. [hyper(173,a,2434,a)]. 2436 T(x \ y,(y \ x) * (x \ y)) = x \ y. [para(342(a,1),2435(a,1,2,1))]. 2437 T(x \ (x / y),y * (x \ (x / y))) = x \ (x / y). [para(73(a,1),2436(a,1,2,1))]. 2438 R(x \ (x / y),y,x \ (x / y)) = T(x \ (x / y),y). [para(2437(a,1),718(a,1,1))]. 2439 T(x \ (x / y),y) \ T((x \ (x / y)) * y,x \ (x / y)) = T(y,x \ (x / y)). [para(2438(a,1),1319(a,1,1))]. 2440 T(x \ (x / y),y) \ ((x \ (x / y)) * y) = T(y,x \ (x / y)). [para(1733(a,1),2439(a,1,2))]. 2441 T(x,T(y \ (y / x),x)) = T(x,y \ (y / x)). [hyper(359,a,2440,a)]. 2442 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(T(1 / x,R(x,y,z)),x)). [para(1175(a,1),2441(a,1,2,1)),flip(a)]. 2443 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(x \ 1,R(x,y,z))). [para(185(a,1),2442(a,2,2))]. 2444 T(x,T(1 / x,R(x,y,z))) = T(x,T(x \ 1,R(x,y,z))). [para(1175(a,1),2443(a,1,2))]. 2445 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(895(a,1),1590(a,1,1))]. 2446 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1109(a,1),2445(a,1,1))]. 2447 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1588(a,1),2446(a,1,2))]. 2448 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(255,a,45,a,b,2447,a(flip)),flip(a)]. 2449 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1571(a,1),2448(a,1,1))]. 2450 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(255,a,1109,a,b,2449,a(flip)),flip(a)]. 2451 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2449(a,1),2012(a,1,2))]. 2452 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(255,a,1591,a(flip),b,2450,a(flip))]. 2453 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(656(a,1),1750(a,1,1)),flip(a)]. 2454 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * (y * T(y \ 1,z))) * z. [para(127(a,1),2453(a,1,2))]. 2455 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). [para(1406(a,1),2099(a,2,2))]. 2456 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(664(a,1),2429(a,1,2)),flip(a)]. 2457 T(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x. [para(2456(a,2),1540(a,1,2))]. 2458 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). [hyper(255,a,192,a(flip),b,2455,a)]. 2459 L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). [para(1529(a,1),2458(a,1,1)),flip(a)]. 2460 K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). [para(127(a,1),2459(a,1,1)),flip(a)]. 2461 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(189(a,2),1010(a,1,2,1,1))]. 2462 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1448(a,2),1461(a,1,2,1,1))]. 2463 (x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1709(a,1),1692(a,1,2,1))]. 2464 T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z). [para(1160(a,1),2463(a,1,2)),flip(a)]. 2465 T(x \ 1,R(x,y,z)) \ ((x \ 1) * R(x,y,z)) = T(R(x,y,z),x \ 1). [para(2464(a,1),1716(a,1,2))]. 2466 T(R(x,y,z),T(x \ 1,R(x,y,z))) = T(R(x,y,z),x \ 1). [hyper(359,a,2465,a)]. 2467 R(T(x,T(x \ 1,R(x,y,z))),y,z) = T(R(x,y,z),x \ 1). [hyper(255,a,47,a,b,2466,a(flip)),flip(a)]. 2468 R(T(x,T(x \ 1,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [hyper(255,a,47,a,b,2467,a)]. 2469 R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [para(2444(a,2),2468(a,1,1))]. 2470 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). [para(1203(a,2),1734(a,2,2,1))]. 2471 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(37(a,2),1745(a,1,1,2,2,1,2)),flip(a)]. 2472 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(66(a,1),1748(a,1,1)),flip(a)]. 2473 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(127(a,1),2472(a,1,1))]. 2475 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(18(a,1),2473(a,1,1,1)),flip(a)]. 2476 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2473(a,1),25(a,1))]. 2477 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2475(a,2),25(a,1))]. 2478 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1529(a,1),1829(a,1,1))]. 2479 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1020(a,1),2478(a,1,2))]. 2480 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(255,a,2165,a(flip),b,2479,a(flip)),flip(a)]. 2481 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(255,a,2131,a(flip),b,2480,a)]. 2482 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(23,a,2161,a,b,2481,a(flip)),flip(a)]. 2483 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(255,a,162,a(flip),b,2482,a),flip(a)]. 2484 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(162(a,1),2483(a,2,2,2)),flip(a)]. 2485 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(255,a,17,a,b,2484,a)]. 2486 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(87,a,2484,a)]. 2487 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2486(a,1),241(a,1,1))]. 2488 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(22,a,1030,a,b,2485,a(flip)),flip(a)]. 2489 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(80,a,2488,a(flip),b,2456,a(flip)),flip(a)]. 2490 T(1 / (1 / x),(y * x) \ y) / 1 = x. [para(2488(a,1),2457(a,1,2))]. 2492 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(255,a,128,a,b,2489,a)]. 2493 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(81,a,2489,a(flip),b,2402,a),flip(a)]. 2494 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(19(a,1),2489(a,1,2,1))]. 2495 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(104(a,1),2492(a,1,2,1))]. 2496 T(1 / (1 / x),(y * x) \ y) = x. [hyper(216,a,2490,a)]. 2498 T(1 / (1 / (x \ y)),y \ x) = x \ y. [para(19(a,1),2496(a,1,2,1))]. 2499 (((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y). [para(2496(a,1),167(a,1,1,2))]. 2500 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(255,a,1447,a(flip),b,2493,a)]. 2502 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(19(a,1),2500(a,1,2,1)),flip(a)]. 2503 K(x,y \ (y / x)) = K(x,x \ 1). [para(21(a,1),2500(a,1,2,1))]. 2504 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(1115(a,2),2500(a,1,2,1))]. 2505 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2500(a,2),1535(a,1,1))]. 2506 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2500(a,2),2243(a,1,1))]. 2507 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(255,a,616,a,b,2503,a(flip)),flip(a)]. 2508 1 / T(x \ y,y \ x) = (x \ y) \ 1. [para(2494(a,2),70(a,1,2))]. 2509 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(73(a,1),2494(a,1,2))]. 2510 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. [para(1204(a,2),2494(a,1,1))]. 2511 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2494(a,1),1556(a,1,2)),flip(a)]. 2512 K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). [para(2494(a,2),1657(a,2,1,2,2)),flip(a)]. 2513 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(2494(a,2),2294(a,1,1,2))]. 2514 T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). [para(1204(a,2),2498(a,1,1,2,2))]. 2515 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(18(a,1),2508(a,1,2,2))]. 2516 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(1453,a,2502,a)]. 2517 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(18(a,1),2502(a,2,2))]. 2518 T(x,K(y \ z,z \ y)) = x. [para(2502(a,1),2245(a,1,2))]. 2519 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2477,a,2518,a),flip(a)]. 2520 (x * K(y \ z,z \ y)) / x != u | K(y \ z,z \ y) = u. [para(2518(a,1),305(a,1,2)),flip(b)]. 2521 x * (((y \ (y / x)) \ 1) \ 1) = (y \ (y / x)) * x. [para(2509(a,1),127(a,1,2))]. 2522 L(x,(y * x) \ y,x) = 1 / (1 / x). [hyper(255,a,1728,a(flip),b,2499,a(flip)),flip(a)]. 2524 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [para(19(a,1),2522(a,1,2,1))]. 2525 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [hyper(255,a,1735,a(flip),b,2524,a(flip)),flip(a)]. 2526 L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). [para(18(a,1),2524(a,1,2))]. 2527 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2524(a,1),2134(a,1,2)),flip(a)]. 2528 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(617,a,2513,a)]. 2529 T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. [para(18(a,1),2528(a,1,2))]. 2530 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(31(a,2),2495(a,1,2)),flip(a)]. 2531 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(255,a,128,a(flip),b,2530,a(flip))]. 2532 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(255,a,2074,a(flip),b,2531,a(flip))]. 2535 1 / (1 / K(x,y)) = K(x,y). [para(2532(a,1),145(a,1,2,2))]. 2537 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2502(a,1),2527(a,1,2))]. 2538 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2507(a,1),2537(a,1,2))]. 2539 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ ((x * (y * z)) / L(z,y,x))))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(143(a,1),2538(a,1,1)),flip(a)]. 2540 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [hyper(255,a,2128,a(flip),b,2526,a(flip)),flip(a)]. 2542 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(70(a,1),2540(a,1,1))]. 2543 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(896(a,1),2504(a,1,2))]. 2544 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(255,a,2502,a(flip),b,2543,a)]. 2545 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(193(a,1),2487(a,2,1))]. 2546 T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). [hyper(255,a,1656,a(flip),b,2512,a(flip))]. 2547 T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). [para(18(a,1),2546(a,1,1,1)),flip(a)]. 2548 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). [para(2535(a,1),2514(a,1,1))]. 2549 ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). [hyper(255,a,2510,a(flip),b,2548,a(flip)),flip(a)]. 2550 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(2549(a,1),70(a,1,2))]. 2551 (x \ 1) \ (T(x,y) \ 1) = 1 / (x \ T(x,y)). [hyper(255,a,2179,a,b,2550,a),flip(a)]. 2552 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). [para(18(a,1),2547(a,1,1,1)),flip(a)]. 2553 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). [para(18(a,1),2552(a,2,2))]. 2555 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * (y * x). [para(18(a,1),2003(a,2,2))]. 2556 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = L(x,y,1 / y). [hyper(255,a,192,a(flip),b,2555,a)]. 2558 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | L(x,y,1 / y) = z. [para(2555(a,2),434(a,1))]. 2559 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | (1 / y) * (y * x) = z. [para(2556(a,2),366(a,1))]. 2560 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1158(a,1),2093(a,1,2,1)),flip(a)]. 2561 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(80,a,64,a(flip),b,2560,a),flip(a)]. 2562 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1150(a,1),2095(a,1,2,1)),flip(a)]. 2563 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(80,a,64,a(flip),b,2562,a),flip(a)]. 2564 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2563(a,1),24(a,1))]. 2565 x \ ((x * (y * T(y \ 1,x))) \ x) = (x * (y * T(y \ 1,x))) \ 1. [para(2144(a,1),2145(a,1,1)),flip(a)]. 2566 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(2144(a,1),2146(a,1,2)),flip(a)]. 2567 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(255,a,18,a(flip),b,2566,a)]. 2569 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(924(a,1),2567(a,1,1,2)),flip(a)]. 2570 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). [para(953(a,2),2567(a,1,1,2)),flip(a)]. 2571 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(255,a,924,a(flip),b,2569,a(flip))]. 2572 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(977,a,2570,a),flip(a)]. 2573 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(313,a,2572,a),flip(a)]. 2574 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(255,a,192,a(flip),b,2147,a)]. 2575 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(2144(a,1),2574(a,1,1)),flip(a)]. 2576 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(953(a,2),2575(a,1,1)),flip(a)]. 2577 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(953(a,2),2576(a,1,1,2)),flip(a)]. 2578 (T(x,y) \ x) * T(x \ 1,T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(185(a,1),2200(a,1,2))]. 2579 ((T(x,y) \ x) / x) * K(x \ 1,x) = (x \ 1) * (T(x,y) \ x). [hyper(225,a,2578,a),flip(a)]. 2581 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(21(a,1),2421(a,2,2,1,2,1))]. 2582 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(96,a,2581,a)]. 2583 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(16(a,1),2582(a,1,1,2,1,2,2)),flip(a)]. 2584 ((x * y) * L((x \ (z * u)) / y,y,x)) / u = ((x * y) / u) * ((y * (((x * y) / u) \ z)) / y). [para(782(a,2),2582(a,1,1,2))]. 2585 ((x * y) * ((y * ((x * y) \ x)) / y)) / x = ((x * y) / x) * ((((x * y) / x) \ y) / y). [para(1146(a,1),2583(a,1,2,1)),flip(a)]. 2586 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2427(a,1),2428(a,1,2,1)),flip(a)]. 2587 L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). [hyper(362,a,2460,a),flip(a)]. 2588 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. [hyper(255,a,1753,a(flip),b,2461,a)]. 2589 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(935(a,1),2462(a,2,2))]. 2590 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(255,a,1680,a(flip),b,2589,a)]. 2591 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(661,a,2590,a),flip(a)]. 2592 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(18(a,1),2590(a,1,2,1)),flip(a)]. 2593 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [para(2590(a,1),855(a,1,2)),flip(a)]. 2594 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(129(a,1),2591(a,2,1))]. 2595 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2592(a,2),1824(a,1,2))]. 2596 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(255,a,2112,a(flip),b,2594,a(flip)),flip(a)]. 2597 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2596(a,1),19(a,1,2))]. 2598 ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). [para(73(a,1),2596(a,1,2,2,2)),flip(a)]. 2599 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(18(a,1),2597(a,1,2,1)),flip(a)]. 2600 R(x,y,K(x,x \ 1)) = x. [hyper(454,a,2599,a)]. 2601 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = ((1 / x) * y) * K(x \ 1,x). [para(1529(a,1),2599(a,1,2)),flip(a)]. 2602 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2600(a,1),47(a,2,1))]. 2603 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(255,a,2111,a(flip),b,2602,a(flip))]. 2605 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1451(a,1),2603(a,1,2,2))]. 2606 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(225,a,2595,a)]. 2607 K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. [para(2595(a,1),225(a,1))]. 2608 L(x,y,K(x,x \ 1)) = x. [hyper(422,a,2606,a)]. 2609 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1529(a,1),2608(a,1,3))]. 2610 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2609(a,1),45(a,2,1))]. 2611 (1 / K(x,x \ 1)) * T(y,x) = T(((x \ 1) * x) * y,x). [para(281(a,1),2593(a,1,1,1)),flip(a)]. 2612 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(189(a,2),2611(a,2,1,1))]. 2613 T(K(x \ 1,x) * y,x) = ((x \ 1) * x) * T(y,x). [para(281(a,1),2612(a,1,1)),flip(a)]. 2614 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(189(a,2),2613(a,2,1))]. 2615 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2614(a,2),1407(a,1,2))]. 2616 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(225,a,2615,a)]. 2617 L(x,y,K(x \ 1,x)) = x. [hyper(422,a,2616,a)]. 2618 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2617(a,1),45(a,2,1))]. 2619 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(2157,a,2618,a)]. 2620 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(1009(a,1),2619(a,1,2)),flip(a)]. 2621 (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(382(a,1),2598(a,1,1)),flip(a)]. 2622 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2193(a,1),2601(a,2,1))]. 2623 (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(1533(a,1),2621(a,1,2,2))]. 2624 (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2587(a,2),2623(a,1,2))]. 2625 (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). [hyper(497,a,2624,a),flip(a)]. 2626 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(1529(a,1),2625(a,1,2))]. 2627 R(x,y,K(x \ 1,x)) = x. [hyper(454,a,2626,a)]. 2628 x * ((T(x,y) \ 1) * K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x). [para(1083(a,1),2626(a,1,1)),flip(a)]. 2629 R(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2627(a,1),47(a,2,1))]. 2630 x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. [para(2627(a,1),230(a,1,1))]. 2631 (T(x,y) \ 1) * K(x \ 1,x) = T(x,y) \ K(x \ 1,x). [para(2629(a,1),379(a,1,1)),flip(a)]. 2632 (T(x,y) \ x) * K(x \ 1,x) = x * (T(x,y) \ K(x \ 1,x)). [para(2631(a,1),2628(a,1,2)),flip(a)]. 2633 (T(x,y) \ x) * K(x \ 1,x) = T(x,y) \ (1 / (1 / x)). [hyper(255,a,1484,a(flip),b,2632,a)]. 2634 ((x * y) / x) * ((((x * y) / x) \ y) / y) = ((x * y) * L(1 / y,y,x)) / x. [para(763(a,1),2585(a,1,1,2)),flip(a)]. 2635 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * (y * (1 / y))) / x. [para(112(a,1),2634(a,2,1))]. 2636 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * K(y,y \ 1)) / x. [para(1448(a,2),2635(a,2,1,2))]. 2637 K(x,1 / ((y * x) / y)) = (y * K(x,x \ 1)) / y. [hyper(255,a,2102,a(flip),b,2636,a(flip)),flip(a)]. 2638 (x * K(x \ y,(x \ y) \ 1)) / x = K(x \ y,1 / (y / x)). [para(19(a,1),2637(a,1,2,2,1)),flip(a)]. 2639 (x * K(x \ y,y \ x)) / x = K(x \ y,1 / (y / x)). [para(2502(a,1),2638(a,1,1,2))]. 2640 (x * (1 / (1 / (x \ y)))) / y = K(y \ x,1 / (x / y)). [para(2527(a,1),2638(a,1,1))]. 2641 K(x \ y,1 / (y / x)) != z | K(x \ y,y \ x) = z. [para(2639(a,1),2520(a,1))]. 2642 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * (1 / (1 / K(x,(x / (y \ 1)) / x)))) / ((x * y) / x). [para(1911(a,2),2640(a,1,1,2,2,2)),flip(a)]. 2643 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(255,a,459,a(flip),b,653,a)]. 2644 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(839,a,2643,a)]. 2645 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(127(a,1),2644(a,1,2)),flip(a)]. 2646 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(255,a,1870,a(flip),b,1045,a(flip)),flip(a)]. 2648 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2646(a,1),789(a,1,1)),flip(a)]. 2649 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(255,a,570,a(flip),b,2648,a)]. 2650 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(255,a,1914,a(flip),b,2649,a(flip))]. 2651 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(839,a,1564,a),flip(a)]. 2652 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(656(a,1),2651(a,2,2))]. 2653 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(422,a,2652,a)]. 2654 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(255,a,1200,a(flip),b,2653,a),flip(a)]. 2655 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(67(a,1),2653(a,2,1,2))]. 2656 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(924(a,1),2653(a,1,1))]. 2657 L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). [para(20(a,1),2656(a,2,1,2))]. 2658 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(386(a,1),2656(a,2,1,2))]. 2659 L(x * T(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u. [para(2654(a,1),413(a,1))]. 2660 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2403(a,1),2658(a,1,1))]. 2661 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2506(a,1),2660(a,1,1))]. 2662 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2661(a,2),390(a,1,1)),flip(a)]. 2663 T(x,L(K(y,y \ 1),y,z)) = x. [para(2661(a,2),2256(a,1,2))]. 2665 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(255,a,2517,a(flip),b,2662,a(flip)),flip(a)]. 2666 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1638(a,1),1585(a,2,1))]. 2667 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1190(a,1),2666(a,2,1,1))]. 2668 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(255,a,35,a,b,2667,a),flip(a)]. 2669 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2667(a,2),466(a,1))]. 2670 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(255,a,1200,a(flip),b,2668,a),flip(a)]. 2671 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(67(a,1),2668(a,2,1,2))]. 2672 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1162(a,1),2668(a,2,1,2))]. 2673 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(225,a,2670,a),flip(a)]. 2675 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [hyper(255,a,953,a,b,979,a)]. 2676 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),((x * y) \ x) \ 1). [para(2675(a,1),129(a,1,1)),flip(a)]. 2677 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),y). [hyper(255,a,2553,a(flip),b,2676,a)]. 2678 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(189(a,2),1047(a,1,2,1,1))]. 2679 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(189(a,2),1049(a,1,2,1,1))]. 2680 (T(x,y) \ 1) * L(T(x,T(x,y) \ 1),z,u) = T(x,y) \ L(x,z,u). [para(19(a,1),1152(a,1,2,1)),flip(a)]. 2681 L(x,y,z) \ (T(x,u) \ L(x,y,z)) = T(x,u) \ 1. [hyper(80,a,2680,a(flip),b,183,a(flip))]. 2682 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1790(a,1),1178(a,1,1))]. 2683 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2469(a,1),2682(a,1,1))]. 2684 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1175(a,1),2683(a,2,1))]. 2685 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(2684(a,2),624(a,1))]. 2686 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(37(a,2),1215(a,1,1))]. 2687 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2159(a,1),2686(a,2,2))]. 2688 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(826(a,1),1396(a,1,2)),flip(a)]. 2689 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2654(a,1),1433(a,1,1))]. 2690 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(289(a,1),2689(a,1,1,1))]. 2691 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1424(a,1),2690(a,1,2))]. 2692 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [hyper(255,a,45,a,b,2691,a(flip)),flip(a)]. 2693 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1429(a,1),2692(a,2,1))]. 2694 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2258(a,1),2693(a,1,1))]. 2695 (x * y) * K(L(z,y,x) \ 1,z) = x * (y * K(z \ 1,z)). [para(2694(a,1),112(a,1,2))]. 2697 (x * y) * z != x * (y * K(u \ 1,u)) | K(L(u,y,x) \ 1,u) = z. [para(2695(a,1),24(a,1)),flip(a)]. 2698 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(105(a,1),2326(a,1,1))]. 2699 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(105(a,1),2698(a,1,2,1,1))]. 2700 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = (x \ 1) * (T(x,y) \ x). [hyper(255,a,2579,a(flip),b,2622,a)]. 2701 (1 / x) * ((T(x,y) \ x) * K(x \ 1,x)) = (x \ 1) * (T(x,y) \ x). [para(1529(a,1),2700(a,1,2,2))]. 2702 (1 / x) * (T(x,y) \ (1 / (1 / x))) = (x \ 1) * (T(x,y) \ x). [para(2633(a,1),2701(a,1,2))]. 2703 (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). [para(2300(a,1),2702(a,1,2))]. 2704 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(2199,a,2703,a),flip(a)]. 2705 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(80,a,2198,a(flip),b,2703,a(flip))]. 2707 T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). [hyper(284,a,2704,a),flip(a)]. 2708 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(255,a,2551,a(flip),b,2705,a(flip)),flip(a)]. 2709 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(255,a,2179,a(flip),b,2705,a(flip)),flip(a)]. 2710 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(2708(a,1),148(a,1,2,1))]. 2711 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(47(a,2),2709(a,1,1,2))]. 2712 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(129(a,1),2709(a,1,1,2)),flip(a)]. 2713 (x * T(x \ 1,y)) \ 1 = T(1 / x,y) \ (1 / x). [para(663(a,1),2709(a,1,1))]. 2714 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1923(a,1),2709(a,1,1,2)),flip(a)]. 2715 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(129(a,1),2712(a,1,1)),flip(a)]. 2716 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(18(a,1),2715(a,1,1,2)),flip(a)]. 2717 (x * T(x \ 1,y)) \ 1 = x \ (T(1 / x,y) \ 1). [hyper(255,a,2707,a(flip),b,2713,a)]. 2718 (x \ y) \ (T(1 / (x \ y),z) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1555(a,1),2717(a,1,1)),flip(a)]. 2719 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(18(a,1),2716(a,1,1)),flip(a)]. 2720 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(2719(a,1),70(a,1,2))]. 2722 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(18(a,1),2714(a,2,1))]. 2724 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(47(a,2),2711(a,2,1))]. 2725 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(255,a,1945,a(flip),b,2678,a)]. 2726 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(255,a,1934,a(flip),b,2679,a)]. 2727 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1018(a,1),2725(a,2,1))]. 2728 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(1017(a,1),2726(a,2,1))]. 2729 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(255,a,461,a(flip),b,772,a)]. 2730 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1391,a,2729,a)]. 2731 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1234(a,1),2730(a,2,1,1))]. 2732 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [para(37(a,2),1974(a,1,2,2,1)),flip(a)]. 2733 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(184(a,1),2732(a,2,2))]. 2734 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = L(T(x,y),y,K(z,z \ 1)). [hyper(2277,a,2276,a),flip(a)]. 2735 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(2287,a,2286,a),flip(a)]. 2736 ((x * y) / z) * ((y * (((x * y) / z) \ u)) / y) = (x * (y * ((x \ (u * z)) / y))) / z. [para(112(a,1),2584(a,1,1)),flip(a)]. 2737 x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T((1 / x) \ 1,y)). [para(73(a,1),1139(a,1,2,1)),flip(a)]. 2738 x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)). [para(73(a,1),2737(a,2,2,2,1))]. 2739 x * T(x \ T(x,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)). [para(73(a,1),2738(a,1,2,1,2,1))]. 2740 (1 / x) \ (x \ T(x,y)) = x * T(x \ T(x,y),x). [para(73(a,1),2739(a,1,2,2)),flip(a)]. 2741 (1 / x) \ (x \ T(x,y)) = (x \ T(x,y)) * x. [hyper(255,a,127,a(flip),b,2740,a)]. 2742 (x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ (x \ (x * K(x,y))). [para(1923(a,1),2741(a,1,2,2)),flip(a)]. 2743 (x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ K(x,y). [para(18(a,1),2742(a,2,2))]. 2745 (x \ (x * K(x,y))) * x = (1 / x) \ K(x,y). [para(1923(a,1),2743(a,1,1,2))]. 2746 (1 / x) \ K(x,y) = K(x,y) * x. [para(18(a,1),2745(a,1,1)),flip(a)]. 2748 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(18(a,1),1808(a,1,2,1)),flip(a)]. 2749 K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [hyper(255,a,1466,a(flip),b,1889,a)]. 2750 K(x,x \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [para(1888(a,1),2749(a,1,1))]. 2751 L(x \ y,x,K(x,x \ 1)) = K(x,x \ 1) * (((x \ 1) \ 1) \ y). [para(128(a,1),2750(a,1,2,1)),flip(a)]. 2752 a(x,x \ y,L(T(x,x \ y),z,u)) = (L(x,z,u) * y) \ (y * L(T(x,x \ y),z,u)). [para(19(a,1),2166(a,1,2,1)),flip(a)]. 2754 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(255,a,1734,a(flip),b,2470,a(flip))]. 2755 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(2183(a,1),2754(a,1,2))]. 2756 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(255,a,2211,a(flip),b,2755,a(flip))]. 2757 T(1 / (1 / x),y) \ T(x,y) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2756(a,1),2206(a,1))]. 2758 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1720(a,1),2657(a,1,1,2)),flip(a)]. 2759 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(60(a,1),2758(a,2,1))]. 2760 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(255,a,325,a(flip),b,2759,a)]. 2763 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2760(a,1),263(a,1,2)),flip(a)]. 2764 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(255,a,17,a(flip),b,2763,a)]. 2765 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2764(a,1),25(a,1)),flip(a)]. 2766 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1962(a,1),1920(a,1,2,1))]. 2767 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(20(a,1),2766(a,1,2)),flip(a)]. 2768 (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). [para(2767(a,1),19(a,1,2)),flip(a)]. 2770 (x \ 1) * K(R(x,y,z),x \ 1) != u | (x \ R(x,y,z)) / R(x,y,z) = u. [para(2767(a,1),220(a,1,2)),flip(b)]. 2771 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. [para(2768(a,2),222(a,1,2)),flip(b)]. 2772 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(2182(a,1),1290(a,1,1,2))]. 2773 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(939(a,1),2772(a,1,1,2)),flip(a)]. 2774 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(942(a,1),2773(a,2,1))]. 2775 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(407(a,1),2774(a,1,1))]. 2776 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(2757,a,2775,a)]. 2778 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(1111(a,1),2089(a,2,2,1))]. 2779 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1925(a,1),2778(a,1,1)),flip(a)]. 2780 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(255,a,2101,a(flip),b,2779,a(flip)),flip(a)]. 2781 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(765(a,1),2155(a,2,1))]. 2782 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(255,a,2688,a(flip),b,2781,a)]. 2783 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1773(a,1),2156(a,2,2,1))]. 2784 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(20(a,1),2783(a,2,2))]. 2785 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [hyper(255,a,2782,a(flip),b,2784,a(flip)),flip(a)]. 2787 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [para(2785(a,1),19(a,1,2))]. 2788 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(255,a,2525,a(flip),b,2787,a)]. 2789 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(22,a,1483,a,b,2788,a),flip(a)]. 2790 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(255,a,615,a(flip),b,2789,a)]. 2791 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2789(a,1),2511(a,1,2))]. 2792 L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). [hyper(255,a,2661,a,b,2790,a(flip)),flip(a)]. 2793 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(2790(a,1),1573(a,1,2))]. 2794 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(255,a,2500,a(flip),b,2792,a)]. 2795 K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). [para(2792(a,1),2665(a,2,1)),flip(a)]. 2797 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(1529(a,1),2794(a,1,1))]. 2798 K((x * y) \ x,y) = K(y \ 1,y). [hyper(255,a,2505,a(flip),b,2795,a(flip))]. 2800 K(x \ (x / y),y) = K(y \ 1,y). [para(21(a,1),2798(a,1,1,1))]. 2801 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(127(a,1),2798(a,1,1,1)),flip(a)]. 2802 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). [para(897(a,1),2800(a,1,1,2)),flip(a)]. 2803 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(37(a,1),2801(a,2,2)),flip(a)]. 2804 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(255,a,1529,a(flip),b,2797,a)]. 2805 (x * (y \ 1)) / K(y \ 1,y) = x * (1 / y). [para(2804(a,1),697(a,1,2))]. 2806 (x / (y \ 1)) * (1 / y) = x / K(y \ 1,y). [para(2804(a,1),699(a,1,2)),flip(a)]. 2807 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1764,a,2805,a)]. 2808 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(520,a,2805,a),flip(a)]. 2809 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(2805(a,1),21(a,1,1))]. 2810 (x * (1 / y)) * y = R(x,y \ 1,y). [para(2805(a,1),1763(a,1,1))]. 2812 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(1034,a,2807,a),flip(a)]. 2813 R(x / (1 / y),y \ 1,y) = x * y. [hyper(479,a,2812,a),flip(a)]. 2814 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [hyper(255,a,554,a(flip),b,2812,a(flip))]. 2815 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(70(a,1),2812(a,1,2)),flip(a)]. 2816 x \ R(x,y \ 1,y) = a(x,1 / y,y). [para(2812(a,1),648(a,1,2))]. 2817 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(2335(a,1),2810(a,1,1))]. 2818 L(a(x,1 / y,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2816(a,1),2406(a,1,1))]. 2820 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [para(2808(a,1),21(a,1,1))]. 2821 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2271,a,2809,a)]. 2822 R(x,1 / y,K(y \ 1,y)) = x. [hyper(758,a,2809,a)]. 2823 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1449(a,1),2822(a,1,3))]. 2824 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(255,a,1471,a(flip),b,2823,a(flip)),flip(a)]. 2825 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2823(a,1),1470(a,1,1)),flip(a)]. 2826 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(255,a,1367,a,b,2820,a(flip)),flip(a)]. 2827 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(255,a,1368,a(flip),b,2820,a(flip))]. 2829 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(255,a,2110,a(flip),b,2824,a(flip)),flip(a)]. 2830 x * K(y,y \ 1) != z * y | z * (1 / (1 / y)) = x. [para(2825(a,1),25(a,1)),flip(a)]. 2831 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2826(a,1),21(a,1,1))]. 2832 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2826(a,1),2813(a,1,1))]. 2833 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2271,a,2827,a)]. 2835 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(255,a,2538,a(flip),b,2829,a(flip)),flip(a)]. 2836 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(80,a,2829,a(flip),b,2538,a(flip)),flip(a)]. 2838 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(2528(a,1),2814(a,1,1)),flip(a)]. 2839 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(70(a,1),2835(a,1,2,2,2,2)),flip(a)]. 2841 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(70(a,1),2836(a,2,2,2,2))]. 2842 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2836(a,1),73(a,1,1))]. 2843 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(18(a,1),2839(a,2,2,2,2))]. 2844 (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). [para(2839(a,1),73(a,1,1))]. 2846 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(145(a,1),2842(a,1,1,2,2)),flip(a)]. 2847 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2542(a,2),2843(a,1,2))]. 2848 x / L(y,y \ 1,x) = x * (1 / y). [para(70(a,1),2847(a,2,2,2))]. 2849 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2848(a,2),615(a,1,1,2))]. 2850 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(255,a,2653,a,b,2849,a(flip)),flip(a)]. 2851 x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). [hyper(255,a,115,a,b,2850,a(flip)),flip(a)]. 2852 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(73(a,1),2850(a,1,2))]. 2853 (x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)). [para(37(a,2),2844(a,1,1,2,2,2))]. 2855 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2846(a,1),73(a,1,1))]. 2856 x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). [para(2846(a,1),148(a,1,2,1))]. 2857 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(255,a,2509,a,b,2855,a(flip)),flip(a)]. 2858 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2855(a,1),2521(a,1,2))]. 2859 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2857(a,2),19(a,1,2))]. 2861 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(2307,a,2859,a)]. 2862 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(2305,a,2859,a)]. 2863 x * T(x \ (x / y),y) = x / T(y,y \ 1). [hyper(255,a,601,a,b,2859,a)]. 2864 (x / y) * K(y \ 1,y) = x / T(y,y \ 1). [hyper(255,a,601,a,b,2861,a)]. 2865 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(20(a,1),2861(a,1,1)),flip(a)]. 2866 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2861(a,1),1758(a,1,1))]. 2867 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = x * (L(x,y,z) / T(x,x \ 1)). [para(2863(a,1),1427(a,1,2)),flip(a)]. 2868 (x / T(y,y \ 1)) * y = x * K(y \ 1,y). [para(2864(a,1),1758(a,1,1))]. 2869 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [para(2865(a,1),21(a,1,1))]. 2870 (x / ((y \ 1) \ 1)) * y = K(y \ 1,y) * x. [hyper(255,a,2263,a,b,2866,a)]. 2871 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(20(a,1),2866(a,1,1)),flip(a)]. 2872 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(602(a,1),2866(a,1,1)),flip(a)]. 2873 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(972(a,1),2866(a,1,1)),flip(a)]. 2874 x * ((y \ 1) \ 1) != z * y | z * K(y \ 1,y) = x. [para(2869(a,1),25(a,1)),flip(a)]. 2876 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2263(a,2),2869(a,1,1))]. 2877 (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. [para(2809(a,1),2869(a,1,1))]. 2878 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [para(602(a,1),2870(a,1,1)),flip(a)]. 2879 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(23,a,465,a,b,2871,a)]. 2880 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2872(a,1),25(a,1)),flip(a)]. 2881 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2872(a,1),2831(a,1,1)),flip(a)]. 2882 x * ((y \ 1) \ 1) != z * y | K(y \ 1,y) * z = x. [para(2876(a,1),25(a,1)),flip(a)]. 2884 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(468,a,2879,a)]. 2885 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [hyper(80,a,2879,a(flip),b,634,a),flip(a)]. 2886 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(2385(a,2),2879(a,1,2))]. 2887 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(255,a,2812,a,b,2884,a)]. 2888 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(1248(a,2),2887(a,1,3))]. 2889 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(70(a,1),2856(a,1,2,1,1,2)),flip(a)]. 2891 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2392(a,1),2881(a,1,1)),flip(a)]. 2892 a(x,y \ 1,(y \ 1) \ 1) = a(x,1 / y,y). [hyper(255,a,2816,a(flip),b,2885,a)]. 2893 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1197(a,1),2832(a,2,1))]. 2894 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(2500(a,1),2793(a,1,2))]. 2895 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2489(a,1),2894(a,2,2))]. 2896 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2492(a,1),2894(a,2,2))]. 2898 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2249,a,2895,a)]. 2899 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(308,a,2895,a),flip(a)]. 2900 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(255,a,2108,a,b,2895,a(flip)),flip(a)]. 2901 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(127(a,1),2895(a,1,1))]. 2903 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(2249,a,2896,a)]. 2904 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(308,a,2896,a),flip(a)]. 2905 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) = y. [hyper(80,a,2896,a(flip),b,2108,a)]. 2906 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [hyper(2607,a,2898,a)]. 2907 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2228(a,1),2899(a,1,2))]. 2908 (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(81,a,2297,a(flip),b,2900,a),flip(a)]. 2909 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(81,a,314,a(flip),b,2900,a),flip(a)]. 2910 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(23,a,2877,a(flip),b,2900,a)]. 2911 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(23,a,2876,a(flip),b,2900,a)]. 2912 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(23,a,2869,a(flip),b,2900,a)]. 2913 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2882,a,2900,a(flip))]. 2914 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(2874,a,2900,a(flip))]. 2915 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(2830,a,2911,a),flip(a)]. 2916 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(2249,a,2911,a)]. 2917 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(23,a,2377,a(flip),b,2911,a)]. 2918 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(23,a,2247,a(flip),b,2911,a)]. 2919 K(x,x \ 1) \ y = K(x \ 1,x) * y. [hyper(80,a,2911,a(flip),b,2247,a)]. 2920 ((x \ 1) * (x * y)) * K(x,x \ 1) = L(y,x,x \ 1). [para(433(a,1),2911(a,1,1))]. 2921 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2911(a,1),2252(a,2))]. 2924 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2249,a,2912,a)]. 2925 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(308,a,2912,a),flip(a)]. 2926 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(261,a,2912,a)]. 2927 (x / (1 / (1 / y))) * K(y \ 1,y) = x / y. [hyper(23,a,2829,a,b,2912,a)]. 2928 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(23,a,2247,a(flip),b,2912,a)]. 2929 K(x,x \ 1) \ y = y * K(x \ 1,x). [hyper(80,a,2912,a(flip),b,2247,a)]. 2930 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(2912(a,1),2252(a,2))]. 2931 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2913(a,1),24(a,1)),flip(a)]. 2932 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2913(a,1),114(a,2,1))]. 2933 R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)). [para(2914(a,1),123(a,2,1))]. 2934 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(310,a,2916,a),flip(a)]. 2936 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2821(a,1),2916(a,1,2))]. 2937 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2833(a,1),2916(a,1,2))]. 2938 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2918(a,1),24(a,1)),flip(a)]. 2939 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2918(a,1),2266(a,1)),flip(a),flip(b)]. 2941 L(x \ (y * K(z \ 1,z)),x,K(z,z \ 1)) = (K(z,z \ 1) * x) \ y. [para(2924(a,1),114(a,2,2))]. 2942 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(255,a,2806,a,b,2925,a(flip)),flip(a)]. 2943 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2928(a,1),123(a,2,1))]. 2944 K(x * y,(x * y) \ 1) * ((((x * y) \ 1) * x) * y) = a((x * y) \ 1,x,y). [hyper(912,a,2934,a),flip(a)]. 2945 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. [para(2934(a,1),2588(a,1,2,1))]. 2946 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2934(a,1),2727(a,1,2,1))]. 2947 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2934(a,1),2728(a,1,2,1))]. 2948 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [hyper(2607,a,2903,a)]. 2949 L(x,K(x,x \ 1),y) = x. [hyper(1468,a,2905,a)]. 2950 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1529(a,1),2949(a,1,2))]. 2951 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(2910(a,1),457(a,1,1))]. 2953 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2230(a,1),2937(a,1,2,2))]. 2954 K(x / (y * x),y) = K(y \ 1,y). [hyper(23,a,2399,a,b,2917,a),flip(a)]. 2955 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(21(a,1),2954(a,1,1,2)),flip(a)]. 2957 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(20(a,1),2955(a,2,1))]. 2958 K(x,T(x,y) \ 1) = K(x,x \ 1). [hyper(22,a,2352,a,b,2908,a),flip(a)]. 2959 T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). [hyper(255,a,2243,a,b,2958,a),flip(a)]. 2961 T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). [para(2776(a,1),2959(a,1,1))]. 2963 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2803(a,1),2791(a,1,2)),flip(a)]. 2964 (x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)). [para(2230(a,1),2853(a,1,1,2))]. 2965 K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)). [hyper(255,a,2780,a,b,2961,a(flip))]. 2966 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. [para(127(a,1),2964(a,1,1)),flip(a)]. 2967 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). [para(2966(a,1),73(a,1,1))]. 2968 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. [para(70(a,1),2967(a,1,1,1,1,2)),flip(a)]. 2969 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [para(2968(a,1),73(a,1,1))]. 2971 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). [hyper(255,a,2958,a(flip),b,2965,a(flip)),flip(a)]. 2972 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [para(199(a,1),2971(a,2,2))]. 2973 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(255,a,2776,a(flip),b,2972,a(flip)),flip(a)]. 2974 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(939(a,1),2852(a,1,1))]. 2975 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(255,a,784,a(flip),b,2974,a(flip))]. 2976 T(K(1 / (1 / x),y),x) = K(x,y). [para(2975(a,2),166(a,1,1))]. 2977 T(K(1 / x,y),x \ 1) = K(x \ 1,y). [para(70(a,1),2976(a,1,1,1,2))]. 2978 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(199(a,1),2976(a,1,1,1,2))]. 2979 K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). [para(2977(a,1),1801(a,1,2)),flip(a)]. 2980 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(70(a,1),2978(a,1,1,1))]. 2981 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(255,a,1799,a(flip),b,2980,a(flip))]. 2982 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(70(a,1),2888(a,2,2))]. 2983 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(128(a,2),2982(a,1,2))]. 2985 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2776(a,1),2901(a,1,2))]. 2986 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(255,a,2231,a(flip),b,2985,a)]. 2987 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(2973(a,1),2986(a,1,2))]. 2989 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y). [para(200(a,1),2907(a,1,1)),flip(a)]. 2990 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2903(a,1),2946(a,1,2,1))]. 2991 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(2903(a,1),2947(a,1,2,1))]. 2992 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2904(a,1),2991(a,1,2,1))]. 2993 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = x * ((x \ 1) * L(x,y,z)). [para(1850(a,1),2867(a,2,2))]. 2994 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = L(L(x,y,z),x \ 1,x). [hyper(255,a,190,a(flip),b,2993,a)]. 2995 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = L(1 / (1 / x),y,z). [hyper(255,a,1497,a(flip),b,2994,a)]. 2996 L(x,y,z) * (T(1 / x,L(x,y,z)) * x) = L(1 / (1 / x),y,z). [para(1042(a,1),2995(a,1,2,1))]. 2997 L(x,y,z) * (x * T(x \ 1,L(x,y,z))) = L(1 / (1 / x),y,z). [para(396(a,1),2996(a,1,2))]. 2999 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y). [para(2228(a,1),2989(a,2,2,1))]. 3000 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(255,a,182,a(flip),b,2999,a)]. 3001 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(1529(a,1),2953(a,1,1))]. 3002 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1117(a,1),2802(a,2,1))]. 3003 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(255,a,2544,a(flip),b,3002,a)]. 3004 T(K(x \ 1,x),((y * x) / y) \ x) = K(x \ (((y * x) / y) \ x),x). [para(19(a,1),2313(a,1,1))]. 3005 K(x \ (((y * x) / y) \ x),x) = K(x \ 1,x). [hyper(255,a,2258,a(flip),b,3004,a(flip))]. 3008 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2910(a,1),2951(a,1,2)),flip(a)]. 3009 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(255,a,35,a,b,3008,a)]. 3011 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,(z \ 1) \ 1)) = R(x,y,1 / (z \ 1)). [para(128(a,2),3009(a,1,2,2))]. 3012 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). [para(1451(a,1),3011(a,1,3))]. 3013 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). [para(70(a,1),3012(a,2,3))]. 3014 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2605(a,1),1641(a,1,2,2,2)),flip(a)]. 3015 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2950(a,1),3014(a,1,1)),flip(a)]. 3017 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2030(a,1),2160(a,1,2))]. 3018 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(710,a,3017,a),flip(a)]. 3019 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(255,a,2687,a(flip),b,3018,a(flip)),flip(a)]. 3020 K(x,y / (x * y)) = K(x,x \ 1). [hyper(255,a,2383,a(flip),b,3019,a(flip))]. 3022 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(255,a,2957,a,b,3020,a(flip)),flip(a)]. 3023 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(21(a,1),3020(a,1,2,2)),flip(a)]. 3024 K((x / y) \ 1,x / y) = K(y / x,(y / x) \ 1). [hyper(255,a,2955,a,b,3023,a),flip(a)]. 3026 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(3022(a,1),2384(a,1,1))]. 3027 K(x \ 1,x) * (T(x,x \ 1) * y) = x * y. [hyper(2921,a,3026,a)]. 3028 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2253,a,3026,a)]. 3029 T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. [hyper(533,a,3026,a)]. 3030 L(x,y,K(y,y \ 1)) = x. [hyper(1467,a,3026,a(flip))]. 3031 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(255,a,1823,a(flip),b,3026,a(flip)),flip(a)]. 3032 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(81,a,3026,a(flip),b,1823,a(flip))]. 3035 L(x,K(y,y \ 1),y) = x. [hyper(255,a,1830,a,b,3030,a(flip)),flip(a)]. 3036 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(255,a,2751,a(flip),b,3030,a(flip)),flip(a)]. 3037 L(x,K(y,y \ 1),1 / (1 / y)) = x. [hyper(255,a,1899,a(flip),b,3030,a(flip)),flip(a)]. 3038 L(x,K(y \ 1,y),1 / y) = x. [hyper(255,a,1832,a(flip),b,3030,a(flip)),flip(a)]. 3039 L(x,1 / y,K(1 / y,y)) = x. [para(73(a,1),3030(a,1,3,2))]. 3040 L(x,1 / y,K(y \ 1,y)) = x. [para(1529(a,1),3030(a,1,3))]. 3042 x * (((x \ 1) \ 1) \ y) = K(x,x \ 1) \ y. [hyper(255,a,1796,a(flip),b,3035,a(flip)),flip(a)]. 3043 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(2559,a,3038,a)]. 3044 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(2558,a,3038,a)]. 3046 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(80,a,3038,a(flip),b,2555,a(flip))]. 3047 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(3038(a,1),696(a,1,2)),flip(a)]. 3048 L(x,y,y \ 1) != z | (1 / y) * (y * x) = z. [para(3038(a,1),2559(a,1))]. 3049 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1534(a,1),3039(a,1,3))]. 3050 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(255,a,2098,a(flip),b,3040,a(flip)),flip(a)]. 3051 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(3040(a,1),1487(a,1,2)),flip(a)]. 3052 L(x \ y,x,x \ 1) = (1 / x) * y. [para(3040(a,1),1994(a,1,1,2))]. 3053 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [hyper(651,a,3044,a),flip(a)]. 3055 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(70(a,1),3044(a,1,3)),flip(a)]. 3056 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(3044(a,1),689(a,2,1))]. 3058 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [para(3037(a,1),1469(a,1,2)),flip(a)]. 3060 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(190(a,1),3043(a,1,2)),flip(a)]. 3061 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(3043(a,1),268(a,1,1))]. 3062 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(3043(a,1),2969(a,1,1,1,1))]. 3063 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(3049(a,1),1507(a,1,2)),flip(a)]. 3064 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [hyper(255,a,140,a(flip),b,3052,a)]. 3065 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(3052(a,1),2620(a,1,2))]. 3067 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(1408,a,3027,a),flip(a)]. 3068 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [para(128(a,1),3027(a,1,2,1))]. 3069 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(255,a,273,a(flip),b,3028,a)]. 3070 x * (y * K(x,x \ 1)) = T(x,x \ 1) * y. [hyper(255,a,2599,a(flip),b,3028,a(flip)),flip(a)]. 3072 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2924(a,1),3029(a,1,2)),flip(a)]. 3074 R(x,K(x,x \ 1),y) = x. [hyper(1528,a,3032,a)]. 3075 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1529(a,1),3074(a,1,2))]. 3076 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(3075(a,1),2670(a,1,1)),flip(a)]. 3077 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [hyper(2930,a,3036,a)]. 3078 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(2921,a,3036,a)]. 3080 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(3036(a,1),2906(a,1,1)),flip(a)]. 3082 x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x). [hyper(255,a,2929,a(flip),b,3042,a)]. 3083 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(80,a,2919,a(flip),b,3042,a)]. 3084 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [hyper(255,a,2281,a(flip),b,3047,a(flip)),flip(a)]. 3086 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). [para(2833(a,1),3047(a,1,2))]. 3087 (x \ 1) * (y * T(x,x \ 1)) = (1 / x) * (y * x). [para(2878(a,1),3047(a,1,2)),flip(a)]. 3088 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2918(a,1),3047(a,1,2)),flip(a)]. 3090 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2938,a,3050,a)]. 3091 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(2931,a,3050,a)]. 3092 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(2267,a,3050,a)]. 3094 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(3050(a,1),2096(a,1,2))]. 3096 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2938,a,3051,a)]. 3097 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(2931,a,3051,a)]. 3098 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(2267,a,3051,a)]. 3099 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(3051(a,1),35(a,2,2)),flip(a)]. 3100 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(3051(a,1),484(a,1,1))]. 3101 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(3051(a,1),424(a,1,1))]. 3103 ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. [para(3051(a,1),2876(a,1,1))]. 3104 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(80,a,19,a(flip),b,3058,a),flip(a)]. 3105 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [para(2916(a,1),3058(a,1,2)),flip(a)]. 3106 x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. [para(2924(a,1),3058(a,1,2)),flip(a)]. 3107 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(2930,a,3063,a)]. 3108 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(263(a,1),3063(a,1,2))]. 3109 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(255,a,273,a(flip),b,3067,a(flip)),flip(a)]. 3110 (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). [para(3067(a,1),598(a,1,1))]. 3111 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x. [para(3068(a,1),2266(a,1)),flip(a),flip(b)]. 3112 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(22,a,2987,a,b,3069,a),flip(a)]. 3113 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [hyper(255,a,2599,a(flip),b,3069,a(flip)),flip(a)]. 3116 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(255,a,2972,a,b,3112,a(flip)),flip(a)]. 3120 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(80,a,3116,a(flip),b,1448,a(flip))]. 3123 (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). [para(3116(a,1),2910(a,1,2))]. 3124 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(3116(a,1),3000(a,1,2))]. 3125 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1460,a,3120,a)]. 3126 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(255,a,2246,a(flip),b,3120,a(flip)),flip(a)]. 3127 (1 / T(x,y)) * x = T(x,y) \ x. [para(3126(a,1),21(a,1,1))]. 3128 x / T(x,y) = T(x,y) \ x. [hyper(1350,a,3127,a)]. 3129 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(172,a,3127,a,b,1083,a)]. 3132 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(255,a,2020,a,b,3128,a(flip)),flip(a)]. 3133 (T(x,y) \ x) * T(x,y) = x. [para(3128(a,1),21(a,1,1))]. 3134 (T(x,y) \ x) \ x = T(x,y). [para(3128(a,1),73(a,1,1))]. 3135 L(x,T(x,y) \ x,x) = x. [hyper(255,a,2452,a,b,3133,a(flip)),flip(a)]. 3137 (x * y) * T(K(y,x),x) = y * x. [para(3135(a,1),2451(a,1,2)),flip(a)]. 3138 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(255,a,2291,a,b,3129,a(flip)),flip(a)]. 3139 T(K(x,y),y) = K(x,y). [hyper(265,a,3137,a),flip(a)]. 3140 T(x,K(y,x)) = x. [hyper(40,a,3139,a)]. 3141 K(x,y) * y = y * K(x,y). [para(3139(a,1),127(a,1,2)),flip(a)]. 3142 (x * K(y,x)) / x = K(y,x). [para(3139(a,1),167(a,1,1,2))]. 3143 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(3139(a,1),183(a,1,2,1)),flip(a)]. 3144 T(T(x,y),K(z,x)) = T(x,y). [para(3140(a,1),43(a,1,1)),flip(a)]. 3145 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(3140(a,1),183(a,1,2,1)),flip(a)]. 3146 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(3140(a,1),184(a,1,2,1)),flip(a)]. 3147 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(3140(a,1),361(a,1,2,1))]. 3148 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(3140(a,1),395(a,1,2,1,1)),flip(a)]. 3149 R(T(x,y),z,u) * K(w,x) = K(w,x) * R(T(x,y),z,u). [para(3140(a,1),576(a,1,2,1,1)),flip(a)]. 3150 T(x,y * T(y \ 1,x)) = x. [para(1200(a,1),3140(a,1,2))]. 3151 T(x,y \ T(y,x)) = x. [para(1204(a,1),3140(a,1,2))]. 3152 T(x,x \ ((y * x) / y)) = x. [para(1575(a,1),3140(a,1,2))]. 3153 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(3140(a,1),2645(a,1,1,1)),flip(a)]. 3154 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(3151(a,1),127(a,1,2))]. 3155 (x \ T(x,y)) * T(y,z) != u | T(y,z) * (x \ T(x,y)) = u. [para(3151(a,1),361(a,1,2,1))]. 3156 (x * K(y,x)) * L(z,x,K(y,x)) = K(y,x) * (x * z). [para(3141(a,1),112(a,1,1))]. 3157 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(3141(a,1),122(a,1,2))]. 3159 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(3141(a,1),454(a,2,2))]. 3160 ((x * K(y,z)) * z) / (z * K(y,z)) != u | R(x,K(y,z),z) = u. [para(3141(a,1),466(a,1,2))]. 3161 L(K(x,y),y,1 / y) = K(x,y). [hyper(255,a,2577,a,b,3142,a(flip)),flip(a)]. 3162 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(255,a,1376,a,b,3142,a(flip)),flip(a)]. 3163 R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). [para(3142(a,1),450(a,1,1,1))]. 3164 T(K(x,y),T(y,z)) = K(x,y). [hyper(40,a,3144,a)]. 3165 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(3144(a,1),361(a,1,2,1))]. 3166 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(40,a,3150,a)]. 3167 ((x * y) / x) / y = y \ ((x * y) / x). [para(3152(a,1),199(a,1,2))]. 3168 K(K(x,y),T(y,z)) = 1. [hyper(41,a,3164,a)]. 3169 K(x \ T(x,y),T(y,z)) = 1. [para(1204(a,1),3168(a,1,1))]. 3170 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(42,a,3169,a)]. 3171 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(366,a,3161,a)]. 3172 (1 / x) \ K(y,x) = x * K(y,x). [hyper(80,a,3161,a(flip),b,192,a)]. 3174 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(80,a,3171,a(flip),b,140,a(flip)),flip(a)]. 3175 K(x \ 1,x) * K(y,x) = (x \ 1) * (x * K(y,x)). [para(3171(a,1),3051(a,1,2))]. 3177 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [para(3138(a,1),21(a,1,1))]. 3178 x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x). [para(3154(a,1),1101(a,1,2,2))]. 3179 x * (((y * x) / y) / x) = (y * x) / y. [para(3167(a,2),19(a,1,2))]. 3180 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(787(a,1),3167(a,1,1)),flip(a)]. 3181 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(315,a,3177,a)]. 3182 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [para(3177(a,1),687(a,1,2))]. 3184 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1624(a,1),3179(a,1,2))]. 3186 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [hyper(255,a,2803,a,b,3181,a(flip)),flip(a)]. 3187 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(255,a,3003,a(flip),b,3181,a(flip))]. 3188 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3181(a,1),2234(a,1,2))]. 3189 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(3181(a,1),2915(a,1,1))]. 3190 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3181(a,1),2963(a,2,2))]. 3191 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(3181(a,1),3001(a,1,1))]. 3192 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [para(564(a,1),3070(a,2,1))]. 3193 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [para(18(a,1),3077(a,1,1)),flip(a)]. 3194 (x \ y) * K(x \ 1,(x \ 1) \ 1) = ((x \ 1) \ 1) \ y. [para(1451(a,2),3077(a,1,2))]. 3195 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(255,a,956,a(flip),b,3078,a(flip)),flip(a)]. 3196 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(3078(a,1),2267(a,1))]. 3197 K(x \ 1,x) * (T(x,y) \ z) = ((T(x,y) \ 1) \ 1) \ z. [para(3181(a,1),3078(a,1,1))]. 3198 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) \ x = z. [para(3082(a,1),24(a,1))]. 3199 L(x,((y \ 1) \ 1) \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(383(a,1),3082(a,1,2)),flip(a)]. 3200 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1524(a,1),3083(a,1,2,1))]. 3201 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [para(3050(a,1),3083(a,1,2)),flip(a)]. 3202 T((x \ 1) * y,K(z \ 1,z)) = (1 / x) * (y * K(x \ 1,x)). [hyper(255,a,2256,a,b,3084,a),flip(a)]. 3203 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(2015,a,3088,a),flip(a)]. 3204 L(K(x,x \ 1) * y,x \ 1,x) = x * ((1 / x) * y). [para(3088(a,1),190(a,1,2)),flip(a)]. 3205 ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). [hyper(255,a,3172,a(flip),b,3092,a)]. 3206 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(255,a,2263,a(flip),b,3094,a)]. 3207 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1334(a,1),3094(a,1,2)),flip(a)]. 3208 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(1828,a,3096,a)]. 3209 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(3096(a,1),143(a,1,1,2))]. 3210 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3096(a,1),431(a,1,2,2))]. 3211 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1016,a,3208,a)]. 3212 L(x,T(y,y \ z) \ 1,T(y,y \ z)) = L(x,1 / T(y,y \ z),(y \ z) \ z). [hyper(255,a,1978,a(flip),b,3211,a(flip))]. 3213 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(70(a,1),3211(a,1,2)),flip(a)]. 3214 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,1 / T(y,y \ z),(y \ z) \ z). [para(601(a,2),3211(a,1,2)),flip(a)]. 3215 ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). [hyper(81,a,3097,a(flip),b,2942,a)]. 3216 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [hyper(2921,a,3104,a)]. 3217 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(3104(a,1),2906(a,1,1))]. 3218 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(1409,a,3105,a),flip(a)]. 3219 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(3181(a,1),3105(a,1,2,1))]. 3220 (1 / (1 / x)) * (y / (1 / (1 / x))) = x * (y / x). [para(2927(a,1),3106(a,1,2)),flip(a)]. 3221 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2789(a,1),3107(a,1,2))]. 3222 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(3107(a,1),2831(a,1,1))]. 3223 T(x,L(K(y,x),z,u)) = x. [hyper(173,a,3143,a)]. 3225 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(3146(a,1),24(a,1)),flip(a)]. 3227 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(3166(a,1),1413(a,1,2)),flip(a)]. 3228 (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). [hyper(2770,a,3174,a)]. 3229 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(3182(a,2),1083(a,1,2))]. 3232 x * (T(x,y) / x) = T(x,y). [hyper(23,a,2023,a,b,3188,a),flip(a)]. 3234 T(x,y) / x = x \ T(x,y). [hyper(87,a,3232,a),flip(a)]. 3236 (x \ T(x,y)) * x = T(x,y). [para(3232(a,1),75(a,1,1,2))]. 3237 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(1862,a,3234,a),flip(a)]. 3238 (1 / x) * T(x,y) = x \ T(x,y). [hyper(1371,a,3234,a)]. 3239 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(943,a,3234,a)]. 3240 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(874,a,3234,a),flip(a)]. 3241 (x \ T(x,y)) * x != z | T(x,y) = z. [para(3234(a,1),226(a,1,1)),flip(b)]. 3242 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(3234(a,1),123(a,1,1))]. 3243 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(3234(a,1),474(a,1,1))]. 3246 (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. [para(3234(a,1),2204(a,1,1))]. 3247 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3234(a,1),2586(a,1,1,2))]. 3248 T(x,x \ T(x,y)) = x. [hyper(286,a,3236,a)]. 3249 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(255,a,1597,a,b,3236,a(flip)),flip(a)]. 3250 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3236(a,1),33(a,2,1)),flip(a)]. 3251 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(128(a,1),3236(a,1,1,2))]. 3252 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(3236(a,1),112(a,1,1))]. 3253 R(x,y \ T(y,z),y) * T(y,z) = (x * (y \ T(y,z))) * y. [para(3236(a,1),122(a,1,2))]. 3254 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(3236(a,1),466(a,1,1,1))]. 3255 T(x,y) = K(y \ (y / (x \ 1)),y) * x. [para(1204(a,2),3236(a,1,1)),flip(a)]. 3256 L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). [para(3236(a,1),864(a,1,1)),flip(a)]. 3257 K(x,x \ T(x,y)) = 1. [hyper(41,a,3248,a)]. 3258 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1204(a,2),3248(a,1,2))]. 3259 K(x,T(x,y) / x) = 1. [para(3234(a,2),3257(a,1,2))]. 3260 T(1 / x,T(x,y)) = x \ 1. [hyper(80,a,3259,a(flip),b,1135,a),flip(a)]. 3261 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(255,a,73,a(flip),b,3260,a)]. 3262 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(255,a,1863,a(flip),b,3260,a(flip)),flip(a)]. 3263 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3260(a,1),185(a,1,1)),flip(a)]. 3264 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3260(a,1),352(a,2,1))]. 3265 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3260(a,1),1206(a,1,1)),flip(a)]. 3266 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(255,a,1289,a(flip),b,3258,a(flip)),flip(a)]. 3267 T(x,T(1 / x,y)) = T(x,x \ 1). [para(3261(a,1),1440(a,1,1)),flip(a)]. 3271 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3267(a,1),1898(a,1,1))]. 3273 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,K(x \ (x / (y \ 1)),x) * y). [para(3255(a,2),566(a,1,2,2))]. 3275 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(3266(a,1),19(a,1,2))]. 3276 x / ((y * x) / y) = ((y * x) / y) \ x. [para(3266(a,1),70(a,1,2))]. 3277 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1159(a,1),3266(a,1,1,1,1))]. 3279 (((x * y) / x) \ y) / y = 1 / ((x * y) / x). [hyper(81,a,3276,a(flip),b,1628,a)]. 3280 T(x,x / (y * x)) = T(x,x / (x * y)). [para(163(a,1),3249(a,1,2))]. 3283 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(167(a,1),3262(a,1,3,2))]. 3284 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2396(a,1),3195(a,1,2))]. 3285 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(447,a,3213,a),flip(a)]. 3286 K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). [para(2746(a,1),3216(a,1,2))]. 3287 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(255,a,2915,a(flip),b,3218,a)]. 3289 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3240(a,1),666(a,2,1)),flip(a)]. 3290 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(3240(a,1),2709(a,1,1))]. 3292 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3263(a,1),3265(a,1,2)),flip(a)]. 3293 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(255,a,289,a(flip),b,3292,a)]. 3296 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3293(a,1),1015(a,1,1,2))]. 3297 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(3056(a,1),3275(a,1,1,1,1))]. 3298 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3237(a,1),2708(a,1,2)),flip(a)]. 3299 T(x,y \ ((x * y) / x)) = x. [para(3237(a,1),3248(a,1,2))]. 3300 T(x,T(y,x) \ y) = x. [para(167(a,1),3299(a,1,2,2))]. 3301 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(3300(a,1),127(a,1,2))]. 3303 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(255,a,1861,a,b,3301,a(flip)),flip(a)]. 3304 x \ ((x * (T(y,x) \ y)) \ x) = ((T(y,x) \ y) * x) \ 1. [para(3301(a,1),2002(a,1,2,1))]. 3305 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3301(a,1),2162(a,1,1,2,1))]. 3306 L(x,x \ T(x,y),x) = x. [hyper(255,a,70,a(flip),b,3256,a)]. 3308 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(3193(a,1),3285(a,1,1))]. 3309 K(1 / x,y) = K(x \ 1,y). [hyper(255,a,2850,a(flip),b,3289,a(flip)),flip(a)]. 3310 K(1 / (1 / x),y) = K(x,y). [hyper(255,a,616,a(flip),b,3309,a)]. 3311 K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [hyper(255,a,1002,a(flip),b,3309,a(flip))]. 3312 K((x \ 1) \ 1,y) = K(x,y). [para(70(a,1),3309(a,1,1)),flip(a)]. 3314 K(T(1 / x,y) \ 1,z) = K(T(x \ 1,y) \ 1,z). [para(2226(a,1),3309(a,1,1))]. 3315 T(K(x,y),x) = K(x,y). [para(3310(a,1),2976(a,1,1))]. 3316 T(x,K(x,y)) = x. [hyper(40,a,3315,a)]. 3317 K(T(x,x \ 1),y) = K(x,y). [hyper(255,a,2981,a,b,3315,a(flip)),flip(a)]. 3318 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(255,a,2677,a,b,3315,a(flip)),flip(a)]. 3319 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3315(a,1),184(a,1,2,1)),flip(a)]. 3321 T(T(x,y),K(x,z)) = T(x,y). [para(3316(a,1),43(a,1,1)),flip(a)]. 3322 K(x,y) * x != z | x * K(x,y) = z. [para(3316(a,1),225(a,1,2))]. 3323 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3316(a,1),182(a,1,2,1)),flip(a)]. 3324 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3316(a,1),183(a,1,2,1)),flip(a)]. 3325 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3316(a,1),184(a,1,2,1)),flip(a)]. 3326 T((x * y) / x,K(y,z)) = (x * y) / x. [para(3316(a,1),404(a,1,1,2)),flip(a)]. 3327 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(3316(a,1),362(a,1,2,1))]. 3330 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(2969(a,1),3312(a,1,1)),flip(a)]. 3332 T(K(x,y),T(x,z)) = K(x,y). [hyper(40,a,3321,a)]. 3335 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3332(a,1),225(a,1,2))]. 3336 T(K(x,y),(z * x) / z) = K(x,y). [hyper(40,a,3326,a)]. 3337 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(747,a,3319,a),flip(a)]. 3338 T(x,R(K(x,y),z,u)) = x. [hyper(173,a,3319,a)]. 3339 K(x,R(K(x,y),z,u)) = 1. [hyper(41,a,3338,a)]. 3340 R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). [para(3338(a,1),183(a,1,2,1))]. 3341 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(173,a,3325,a)]. 3342 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(255,a,3187,a(flip),b,3024,a(flip))]. 3343 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(255,a,3186,a(flip),b,3342,a)]. 3344 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(3342(a,2),2791(a,1,2))]. 3345 T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). [hyper(255,a,2256,a,b,3086,a),flip(a)]. 3347 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [hyper(81,a,2572,a(flip),b,3103,a(flip)),flip(a)]. 3348 T(x \ 1,T(x,y) \ x) = x \ 1. [para(3132(a,1),2341(a,1,2))]. 3349 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3132(a,1),2817(a,1,1,2)),flip(a)]. 3350 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(40,a,3348,a)]. 3351 (T(x,y) \ x) * (x \ 1) = (x \ 1) * (T(x,y) \ x). [para(3348(a,1),127(a,1,2))]. 3352 (K(x,y) \ y) * K(x,y) = y. [hyper(22,a,104,a(flip),b,3153,a)]. 3353 x / K(y,x) = K(y,x) \ x. [hyper(96,a,3352,a)]. 3355 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(23,a,2891,a,b,3222,a)]. 3356 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(263(a,1),3222(a,1,1)),flip(a)]. 3357 L(x,y,z) * (T(x,u) * T(T(x,u) \ 1,L(x,y,z))) = T(x,u) * ((T(x,u) \ 1) * L(x,y,z)). [para(2681(a,1),3227(a,1,2,1)),flip(a)]. 3358 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(2630,a,3229,a)]. 3359 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(255,a,273,a(flip),b,3271,a(flip)),flip(a)]. 3360 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(22,a,3031,a,b,3271,a(flip)),flip(a)]. 3361 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3271(a,1),599(a,1,1))]. 3363 (x \ y) * K(x \ 1,x) = y * (((y \ (x \ y)) \ 1) \ 1). [hyper(255,a,3077,a,b,3284,a),flip(a)]. 3364 (((x \ 1) \ 1) \ y) / y = (((x \ y) / y) \ 1) \ 1. [hyper(81,a,3284,a(flip),b,2238,a)]. 3365 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(73(a,1),3284(a,1,2,1,1,2)),flip(a)]. 3366 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(149(a,1),3284(a,1,2,1,1,2))]. 3367 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(37(a,2),3287(a,1,2))]. 3368 T(x,1 / (1 / y)) = T(x,y). [hyper(358,a,3367,a),flip(a)]. 3370 T(x,1 / y) = T(x,y \ 1). [para(70(a,1),3368(a,1,2,2))]. 3371 T(x,(y \ 1) \ 1) = T(x,y). [para(145(a,1),3368(a,1,2)),flip(a)]. 3373 T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). [hyper(255,a,715,a(flip),b,3370,a(flip))]. 3376 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). [para(3371(a,1),127(a,1,2))]. 3377 T(x,T(y,y \ 1)) = T(x,y). [para(128(a,2),3371(a,1,2))]. 3378 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(1248(a,2),3371(a,1,2))]. 3385 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(3377(a,1),127(a,1,2))]. 3386 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [para(3377(a,1),595(a,1,2))]. 3388 (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(3386(a,2),499(a,2,1))]. 3389 T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(3203(a,1),3373(a,1,1,1))]. 3390 T(x \ 1,y) \ (x \ 1) = x \ (T(1 / x,y) \ 1). [hyper(255,a,2717,a(flip),b,3290,a(flip))]. 3391 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1062(a,2),3290(a,1,1)),flip(a)]. 3392 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1555(a,1),3290(a,1,1)),flip(a)]. 3393 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(3343(a,1),1456(a,1,1))]. 3394 (T(x,y) \ x) * (x \ 1) = T(x,y) \ 1. [hyper(255,a,2704,a(flip),b,3351,a)]. 3395 T(1 / (1 / x),y / (y * x)) = x. [hyper(172,a,3355,a,b,xx)]. 3397 T(1 / (1 / x),(y / x) / y) = x. [para(21(a,1),3395(a,1,2,2))]. 3398 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(3397(a,1),168(a,1,2,2))]. 3399 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(3358(a,1),3084(a,1,2)),flip(a)]. 3400 ((((1 / x) \ y) / y) \ 1) \ 1 = ((x \ 1) \ y) / y. [para(73(a,1),3364(a,1,1,1,1)),flip(a)]. 3401 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(3365(a,1),70(a,1,2))]. 3402 (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. [para(2104(a,2),3398(a,1,2))]. 3403 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(18(a,1),3401(a,1,2,2,1,1))]. 3404 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2238(a,2),3401(a,1,2))]. 3405 T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). [hyper(255,a,2529,a,b,3403,a),flip(a)]. 3406 x / (x * T(y,y \ 1)) = T(x / (x * y),y). [para(128(a,2),3405(a,2,2,2)),flip(a)]. 3407 T(x / (x * y),y) \ x = x * T(y,y \ 1). [para(3406(a,1),73(a,1,1))]. 3408 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [para(20(a,1),3404(a,1,2,1,1,1))]. 3409 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [hyper(3111,a,3205,a)]. 3410 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(255,a,3113,a,b,3409,a(flip)),flip(a)]. 3412 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(255,a,2720,a(flip),b,3298,a)]. 3413 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(80,a,3412,a(flip),b,1083,a),flip(a)]. 3414 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(167(a,1),3412(a,2,1))]. 3415 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(3206(a,2),3308(a,1,1))]. 3416 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(3413(a,1),2241(a,1,2))]. 3417 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(167(a,1),3416(a,1,2,2,1))]. 3418 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(954(a,1),3417(a,1,2,2,2))]. 3419 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. [hyper(81,a,3414,a(flip),b,3127,a),flip(a)]. 3420 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3303(a,1),3414(a,1,1))]. 3421 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(3420(a,1),70(a,1,2))]. 3422 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(954(a,1),3421(a,1,2,2))]. 3423 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3060(a,2),2324(a,1,1))]. 3424 (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). [para(1111(a,1),3123(a,1,1))]. 3425 (R(T(x,y),z,u) * K(w,x)) * v5 = (K(w,x) * R(T(x,y),z,u)) * v5. [hyper(27,a,3149,a)]. 3427 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2230(a,1),3189(a,2,2))]. 3429 K(x \ 1,x) * (T(x,y) \ z) = T((x \ 1) \ 1,y) \ z. [para(2228(a,1),3197(a,2,1))]. 3430 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(2230(a,1),3219(a,2,1))]. 3431 x \ ((x * (T(y,x) \ y)) \ x) = (x * (T(y,x) \ y)) \ 1. [para(3301(a,1),3304(a,2,1))]. 3433 K(((x \ y) \ y) \ 1,(x \ y) \ y) = K(x \ 1,x). [hyper(22,a,2511,a,b,3363,a),flip(a)]. 3434 K(x \ 1,x) * (y * T((x \ z) \ z,u)) = y * (1 / (1 / T((x \ z) \ z,u))). [para(3433(a,1),3189(a,1,1))]. 3435 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(255,a,2917,a(flip),b,3393,a(flip)),flip(a)]. 3436 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(255,a,3408,a,b,3435,a)]. 3437 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(122(a,1),3435(a,2,1,1,2))]. 3438 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(3435(a,2),3371(a,1,2))]. 3439 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(255,a,160,a,b,3436,a),flip(a)]. 3440 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [para(3436(a,2),73(a,1,1))]. 3443 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(255,a,3280,a(flip),b,3438,a)]. 3444 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(163(a,2),3438(a,2,2)),flip(a)]. 3446 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(73(a,1),3440(a,1,1,1))]. 3447 (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). [hyper(255,a,1595,a,b,3444,a(flip)),flip(a)]. 3448 R(x,1 / x,y) \ y = (x \ 1) * y. [para(73(a,1),3446(a,2,1,1))]. 3449 R(x,1 / x,y) = y / ((x \ 1) * y). [para(3448(a,1),70(a,1,2)),flip(a)]. 3450 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(255,a,160,a,b,3449,a)]. 3451 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(3450(a,1),1496(a,1,1))]. 3452 x * ((x * (((x * y) * (x \ 1)) / (x * y))) * y) = T(x * y,R(x \ 1,x,x * y)). [hyper(255,a,2355,a(flip),b,3447,a(flip)),flip(a)]. 3453 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [para(3439(a,2),3447(a,2,2)),flip(a)]. 3454 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3399(a,1),2050(a,1,1)),flip(a)]. 3455 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(128(a,1),3427(a,1,2,2))]. 3456 (T(x,y) \ z) * K(x \ 1,x) = T((x \ 1) \ 1,y) \ z. [hyper(2267,a,3429,a)]. 3457 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(80,a,19,a(flip),b,3430,a),flip(a)]. 3458 (x * (T(y,x) \ y)) \ 1 = x \ (y \ T(y,x)). [para(3420(a,1),3431(a,1,2)),flip(a)]. 3459 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2931,a,3457,a)]. 3460 T(x,y) \ z != K(x \ 1,x) * u | T(1 / (1 / x),y) \ z = u. [para(3457(a,1),24(a,1))]. 3461 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3457(a,1),3109(a,1,2))]. 3462 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1451(a,1),3459(a,1,2))]. 3463 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(3228(a,2),19(a,1,2))]. 3464 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3250(a,1),1101(a,1,2)),flip(a)]. 3465 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(19(a,1),3464(a,1,1)),flip(a)]. 3466 L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u. [para(3464(a,2),24(a,1))]. 3467 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(255,a,2324,a,b,3252,a(flip)),flip(a)]. 3468 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. [para(3303(a,1),3419(a,1,2))]. 3469 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. [para(3240(a,1),3468(a,2,1))]. 3470 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(255,a,1496,a(flip),b,3451,a(flip))]. 3471 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(255,a,350,a(flip),b,3470,a(flip))]. 3472 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). [para(3463(a,1),1382(a,1,1)),flip(a)]. 3473 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(3471(a,2),107(a,1,2,2))]. 3474 T((x \ 1) * y,K(z \ 1,z)) = y * ((x \ 1) * (x * T(x \ 1,y))). [hyper(255,a,3015,a,b,3202,a)]. 3475 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2507(a,1),3221(a,1,2))]. 3476 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3234(a,1),3247(a,2,2,1,2))]. 3477 K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). [para(2979(a,1),3286(a,1,2))]. 3478 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(255,a,3301,a(flip),b,3305,a)]. 3479 K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). [para(3370(a,1),3311(a,2,1,1))]. 3480 T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). [hyper(23,a,3028,a,b,3424,a)]. 3481 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(255,a,381,a(flip),b,3480,a(flip)),flip(a)]. 3483 (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). [hyper(255,a,3051,a(flip),b,3477,a(flip)),flip(a)]. 3484 (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). [para(3483(a,1),1928(a,1,1))]. 3485 (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(107(a,2),3484(a,1,1,2))]. 3486 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3420(a,1),3478(a,1,1,2))]. 3487 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(22,a,3476,a(flip),b,3486,a(flip)),flip(a)]. 3488 (x * (y \ T(y,x))) * (T(y,x) \ y) = x. [para(3487(a,1),19(a,1,2))]. 3489 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). [para(3163(a,2),957(a,1,1,2))]. 3490 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(396(a,1),3243(a,2,1))]. 3491 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2948(a,1),3389(a,1,1))]. 3493 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(1912(a,1),3453(a,2,1))]. 3494 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(3127(a,1),3454(a,1,1)),flip(a)]. 3498 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. [para(3493(a,2),3322(a,1))]. 3499 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(3116(a,1),3124(a,1,2))]. 3502 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(3499(a,1),3192(a,1,2))]. 3503 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(73(a,1),3191(a,2,2))]. 3506 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(3503(a,1),3109(a,1,2))]. 3507 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3391(a,1),3283(a,1,3))]. 3508 T(x,K(y,x) \ 1) = x. [para(3391(a,1),3300(a,1,2))]. 3509 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3508(a,1),127(a,1,2))]. 3510 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3509(a,1),162(a,2,1)),flip(a)]. 3511 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(255,a,3507,a(flip),b,3510,a)]. 3513 (K(x,y) * R(T(y,z),u,w)) * v5 != R(T(y,z),u,w) * K(x,y) | 1 = v5. [para(3425(a,1),84(a,1))]. 3514 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(70(a,1),3462(a,2,1,1,2))]. 3515 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2939,a,3514,a)]. 3516 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(18(a,1),3515(a,1,2)),flip(a)]. 3517 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [para(3516(a,1),19(a,1,2))]. 3518 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2014(a,2),3517(a,1,2))]. 3519 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(3090(a,1),3517(a,1,2)),flip(a)]. 3520 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3519(a,1),1078(a,1,2))]. 3521 x \ T((y \ 1) * (x / (y \ 1)),K(z \ 1,z)) = K(1 / y,x / (y \ 1)). [para(3474(a,2),2851(a,1,2))]. 3522 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1451(a,1),3475(a,1,2))]. 3523 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2610(a,1),3100(a,1,2))]. 3524 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3523(a,1),1647(a,2,2,1,2)),flip(a)]. 3527 T(x,x \ K(y,x)) = T(x,x \ 1). [para(3318(a,1),3418(a,1,2,2))]. 3528 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(3527(a,1),199(a,1,2))]. 3529 K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. [para(3528(a,1),2868(a,1,1)),flip(a)]. 3530 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(3528(a,1),2909(a,1,1))]. 3531 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(3530(a,1),2597(a,1,2)),flip(a)]. 3532 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(3531(a,1),3410(a,1,2))]. 3533 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(80,a,3532,a(flip),b,1079,a),flip(a)]. 3534 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(1081(a,1),3533(a,1,2))]. 3535 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(73(a,1),3502(a,1,2,1,1,1))]. 3536 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(22,a,3047,a,b,3535,a),flip(a)]. 3537 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(81,a,3520,a(flip),b,3535,a(flip))]. 3538 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3536(a,1),3109(a,1,2))]. 3539 x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). [para(3345(a,1),3521(a,1,2))]. 3540 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(3437(a,1),470(a,1,1))]. 3541 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(255,a,385,a,b,3356,a),flip(a)]. 3542 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * (1 / (T(x,z) \ 1)). [para(2225(a,1),3434(a,2,2,2))]. 3543 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [para(70(a,1),3542(a,2,2))]. 3545 (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(3539(a,1),3485(a,1,1,2))]. 3546 K(x \ 1,y / (1 / x)) = K(x \ 1,y / (x \ 1)). [hyper(255,a,3484,a(flip),b,3545,a(flip))]. 3547 K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). [para(20(a,1),3546(a,1,2)),flip(a)]. 3548 K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). [para(1369(a,1),3547(a,1,2))]. 3549 K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). [para(2942(a,1),3548(a,1,2))]. 3550 K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). [para(3069(a,1),3549(a,1,2))]. 3551 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(3200(a,1),3518(a,1,2))]. 3552 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(128(a,2),3551(a,1,2,1))]. 3553 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2841(a,1),3522(a,2,1))]. 3554 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3553(a,1),2893(a,1,1))]. 3555 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(255,a,3494,a(flip),b,3349,a)]. 3556 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(3132(a,1),3555(a,1,1))]. 3557 T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). [para(1970(a,1),3452(a,1,2)),flip(a)]. 3558 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(924(a,1),3554(a,2,1,2))]. 3559 K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). [para(2876(a,1),3110(a,1,2)),flip(a)]. 3560 K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x). [hyper(255,a,31,a,b,3559,a)]. 3561 K(K(x,x \ 1) * y,x) = K(y,(x \ 1) \ 1). [para(2918(a,1),3560(a,1,1)),flip(a)]. 3562 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x). [para(3078(a,1),3560(a,1,1))]. 3563 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(787(a,1),3180(a,1,2)),flip(a)]. 3564 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(255,a,1993,a(flip),b,3563,a(flip))]. 3565 L(x,y \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(3213(a,1),3199(a,1,1))]. 3566 L(x,y \ 1,y) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(3055(a,1),3565(a,1,1))]. 3567 ((x \ 1) \ 1) \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. [hyper(3198,a,3566,a)]. 3569 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3465(a,1),3467(a,1,1))]. 3570 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(255,a,186,a(flip),b,3569,a(flip)),flip(a)]. 3571 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(18(a,1),3570(a,1,1)),flip(a)]. 3572 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(80,a,3306,a(flip),b,3571,a)]. 3573 (x \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x). [para(1100(a,1),3571(a,1,2))]. 3574 L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). [para(3125(a,1),3571(a,1,2)),flip(a)]. 3575 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1923(a,1),3572(a,1,1,2)),flip(a)]. 3576 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3237(a,1),3572(a,1,1)),flip(a)]. 3577 T(x,T(y,x)) * (y \ T(y,x)) = L(x,y \ T(y,x),y). [hyper(3155,a,3573,a)]. 3578 L(1 / x,x \ T(x,y),x) = 1 / x. [hyper(255,a,3246,a(flip),b,3574,a)]. 3580 x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). [para(3578(a,1),565(a,2,1))]. 3581 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3412(a,1),3576(a,1,2)),flip(a)]. 3582 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(167(a,1),3581(a,1,1,2)),flip(a)]. 3583 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(167(a,1),3582(a,1,2,1)),flip(a)]. 3584 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(3583(a,1),19(a,1,2))]. 3585 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(18(a,1),3575(a,2,1))]. 3587 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2722(a,1),3585(a,1,2))]. 3588 x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). [para(19(a,1),3580(a,1,2,2,2))]. 3590 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). [para(3260(a,1),3588(a,1,2,2)),flip(a)]. 3591 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). [para(1240(a,1),3590(a,2,2))]. 3593 (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). [hyper(255,a,190,a(flip),b,3591,a)]. 3594 L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). [hyper(310,a,3593,a),flip(a)]. 3596 L(x \ T(x,y),x \ 1,x) = x \ T(x,y). [hyper(255,a,3238,a(flip),b,3594,a)]. 3597 L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). [para(1923(a,1),3596(a,1,1,2))]. 3598 x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). [para(18(a,1),3597(a,1,1)),flip(a)]. 3600 L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). [para(1923(a,1),3598(a,1,2)),flip(a)]. 3601 L(K(x,y),x \ 1,x) = K(x,y). [hyper(255,a,18,a(flip),b,3600,a)]. 3604 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(80,a,3601,a(flip),b,190,a),flip(a)]. 3605 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(1286,a,3604,a)]. 3606 K(x,y) \ (x \ K(x,y)) = x \ 1. [hyper(80,a,3604,a(flip),b,1285,a)]. 3608 K(x,y) \ (x \ K(x,y)) != z | x \ 1 = z. [para(3605(a,1),222(a,1,2)),flip(b)]. 3609 K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z. [para(3605(a,1),416(a,1,2))]. 3610 K(x,y) * ((x \ 1) * z) != (x \ K(x,y)) * u | L(z,x \ 1,K(x,y)) = u. [para(3605(a,1),422(a,1,1)),flip(a)]. 3611 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(255,a,1930,a(flip),b,3472,a)]. 3612 T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(255,a,3280,a,b,3611,a(flip)),flip(a)]. 3613 R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(255,a,47,a,b,3612,a(flip)),flip(a)]. 3614 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(2382(a,1),3613(a,1,1)),flip(a)]. 3615 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(80,a,1069,a,b,3614,a)]. 3617 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(255,a,1277,a(flip),b,3615,a(flip)),flip(a)]. 3618 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(3615(a,1),2724(a,1,1)),flip(a)]. 3619 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(255,a,3463,a,b,3617,a),flip(a)]. 3620 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(2005(a,2),3619(a,1,2))]. 3621 K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. [para(3618(a,1),2685(a,1))]. 3622 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1159(a,1),3277(a,2,1))]. 3623 L(x,y,z) * (T(x,u) * T(T(x,u) \ 1,L(x,y,z))) = L(L(x,y,z),T(x,u) \ 1,T(x,u)). [hyper(255,a,190,a(flip),b,3357,a)]. 3624 L(L(x,y,z),T(x,u) \ 1,T(x,u)) = L(x,y,z) * T(x * T(x \ 1,L(x,y,z)),u). [para(1649(a,1),3623(a,1,2)),flip(a)]. 3625 L(x,y,z) * T(x * T(x \ 1,L(x,y,z)),u) = L(1 / (1 / x),y,z). [hyper(255,a,2301,a(flip),b,3624,a(flip))]. 3627 L(x,y,z) * K(x \ 1,L(x,y,z)) = L(1 / (1 / x),y,z). [para(1224(a,1),3625(a,1,2))]. 3629 x * T(x \ 1,L(x,y,z)) = K(x \ 1,L(x,y,z)). [hyper(22,a,2997,a,b,3627,a),flip(a)]. 3630 L(K(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u. [para(3629(a,1),2659(a,1,1))]. 3631 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3538(a,1),3361(a,1,2))]. 3632 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3631(a,1),431(a,1))]. 3633 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2311,a,3540,a)]. 3634 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(3075(a,1),3076(a,2,2,1,1))]. 3635 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(255,a,3239,a(flip),b,3634,a)]. 3637 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3239(a,1),3635(a,1,1))]. 3638 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3637(a,1),3296(a,1,1))]. 3639 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3293(a,1),3638(a,2,1))]. 3641 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3639(a,1),19(a,1,2))]. 3643 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(255,a,2281,a(flip),b,3641,a(flip)),flip(a)]. 3644 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(3051(a,1),3101(a,1,2)),flip(a)]. 3645 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3644(a,2),431(a,1))]. 3646 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(20(a,1),3297(a,1,1,1))]. 3648 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3646(a,1),25(a,1)),flip(a)]. 3649 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1727(a,1),2170(a,2,1))]. 3650 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(255,a,1158,a(flip),b,3649,a)]. 3652 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1158(a,1),3650(a,1,1))]. 3653 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(40,a,3652,a)]. 3654 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * K(x,(x / (y \ 1)) / x)) / ((x * y) / x). [para(2535(a,1),2642(a,2,1,2))]. 3655 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = ((x * y) / x) / ((x * y) / x). [para(1918(a,1),3654(a,2,1))]. 3656 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = 1. [hyper(255,a,67,a(flip),b,3655,a)]. 3657 K(((x * y) / x) \ y,y \ ((x * y) / x)) = 1. [hyper(2641,a,3656,a)]. 3659 1 / (((x * y) / x) \ y) = (((x * y) / x) \ y) \ 1. [hyper(80,a,3657,a(flip),b,2516,a),flip(a)]. 3660 ((((x * y) / x) \ y) \ 1) \ 1 = ((x * y) / x) \ y. [para(3659(a,1),73(a,1,1))]. 3661 (x \ ((y * x) / y)) \ 1 = ((y * x) / y) \ x. [para(2719(a,1),3660(a,1,1))]. 3662 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (y \ (y * (x * T(x \ 1,y)))) \ 1. [para(2144(a,1),3661(a,1,1,2)),flip(a)]. 3663 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (x * T(x \ 1,y)) \ 1. [para(18(a,1),3662(a,2,1))]. 3664 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = x \ (T(1 / x,y) \ 1). [hyper(255,a,2717,a(flip),b,3663,a)]. 3666 (x * (y * T(y \ 1,x))) \ x = y \ (T(1 / y,x) \ 1). [para(2144(a,1),3664(a,1,1))]. 3667 K(x \ (y \ (T(1 / y,x) \ 1)),x) = K(x \ 1,x). [para(3664(a,1),3005(a,1,1,2))]. 3668 K(x \ ((y \ 1) \ (T(y,x) \ 1)),x) = K(x \ 1,x). [para(70(a,1),3667(a,1,1,2,2,1,1))]. 3669 K(x \ (T(y,x) \ y),x) = K(x \ 1,x). [para(2705(a,1),3668(a,1,1,2))]. 3670 (x * (y * T(y \ 1,x))) \ 1 = x \ (y \ (T(1 / y,x) \ 1)). [para(3666(a,1),2565(a,1,2)),flip(a)]. 3671 x \ (((x * y) \ x) \ (T(1 / ((x * y) \ x),x) \ 1)) = (x * K(y,x)) \ 1. [para(953(a,2),3670(a,1,1,2)),flip(a)]. 3672 x \ (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = (x * K(y,x)) \ 1. [para(2718(a,1),3671(a,1,2))]. 3673 x \ (((x * y) \ (x * T(y,x))) \ 1) = (x * K(y,x)) \ 1. [para(18(a,1),3672(a,1,2,1,2,2,1))]. 3674 x \ (((x * y) \ (y * x)) \ 1) = (x * K(y,x)) \ 1. [para(127(a,1),3673(a,1,2,1,2))]. 3675 (x * K(y,x)) \ 1 = x \ (K(y,x) \ 1). [para(31(a,2),3674(a,1,2,1)),flip(a)]. 3676 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3318(a,1),3422(a,1,2)),flip(a)]. 3677 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(255,a,3353,a(flip),b,3676,a)]. 3678 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(3392(a,1),3676(a,1,2))]. 3679 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(18(a,1),3678(a,1,2,1,2,2,1))]. 3680 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(127(a,1),3679(a,1,2,1,2))]. 3681 x * (K(y,x) \ 1) = x / K(y,x). [para(31(a,2),3680(a,1,2,1))]. 3682 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(255,a,3353,a(flip),b,3681,a)]. 3683 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(80,a,3353,a(flip),b,3681,a)]. 3684 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(80,a,3682,a(flip),b,3509,a)]. 3685 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3682(a,1),24(a,1))]. 3686 x * (T(L(y \ 1,y,x) \ 1,x) \ (L(y \ 1,y,x) \ 1)) = K(y,x) \ x. [para(3391(a,2),3682(a,1,2))]. 3687 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3682(a,1),3511(a,1,1))]. 3689 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3684(a,1),925(a,1,2,1))]. 3690 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3687(a,1),19(a,1,2))]. 3691 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3690(a,1),2879(a,1,1)),flip(a)]. 3692 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(255,a,274,a(flip),b,3689,a(flip))]. 3694 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(255,a,381,a(flip),b,3692,a(flip))]. 3695 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(255,a,3694,a(flip),b,3691,a)]. 3696 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3695(a,1),2731(a,1,2,2))]. 3697 x \ ((((x * y) \ x) \ 1) \ T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3677(a,1),3458(a,1,1)),flip(a)]. 3698 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(3677(a,1),3469(a,1,2)),flip(a)]. 3699 1 / (K(x,y) \ y) = K(x,y) / y. [para(953(a,2),3698(a,1,1)),flip(a)]. 3700 (K(x,y) / y) \ 1 = K(x,y) \ y. [para(3699(a,1),73(a,1,1))]. 3701 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(533,a,3696,a),flip(a)]. 3702 K(x,(y \ 1) \ 1) = K(x,y). [hyper(255,a,598,a(flip),b,3701,a),flip(a)]. 3705 K(K(x,x \ 1) * y,x) = K(y,x). [hyper(255,a,3561,a,b,3702,a(flip)),flip(a)]. 3706 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [hyper(255,a,3562,a(flip),b,3702,a(flip))]. 3707 K(x,1 / y) = K(x,y \ 1). [para(73(a,1),3702(a,1,2,1)),flip(a)]. 3708 K(x,1 / (1 / y)) = K(x,y). [para(150(a,1),3702(a,1,2)),flip(a)]. 3710 K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). [para(2229(a,1),3702(a,1,2)),flip(a)]. 3712 ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). [para(3702(a,1),3174(a,2,2))]. 3713 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(3400(a,1),3702(a,1,2)),flip(a)]. 3718 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(3707(a,1),2573(a,2,1))]. 3722 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2592(a,2),3705(a,1,1))]. 3723 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(3201(a,1),3706(a,1,1))]. 3724 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(3096(a,1),3722(a,1,1,1))]. 3725 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(255,a,3473,a,b,3713,a(flip)),flip(a)]. 3726 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(255,a,963,a,b,3723,a(flip)),flip(a)]. 3727 x \ (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3240(a,1),3697(a,1,2))]. 3728 (K(x,y) \ y) \ 1 = y \ K(x,y). [para(953(a,2),3727(a,1,2)),flip(a)]. 3729 1 / (x \ K(y,x)) = K(y,x) \ x. [para(3728(a,1),70(a,1,2))]. 3730 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3415(a,1),3423(a,1,1))]. 3731 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3239(a,1),3524(a,2,1))]. 3732 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(112(a,1),1394(a,1,2,1,1))]. 3733 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1391,a,3732,a),flip(a)]. 3734 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(821(a,1),3733(a,2,2))]. 3735 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(422,a,3734,a),flip(a)]. 3736 L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [hyper(255,a,1155,a(flip),b,3735,a(flip))]. 3737 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1732(a,1),3736(a,1,1,2)),flip(a)]. 3738 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(255,a,2655,a(flip),b,3737,a)]. 3739 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(23,a,189,a(flip),b,3738,a)]. 3740 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(73(a,1),3739(a,1,1))]. 3741 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(1020(a,1),3740(a,1,2))]. 3742 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(3741(a,1),21(a,1,1))]. 3743 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2765,a,3742,a)]. 3744 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1868(a,1),3743(a,1,1)),flip(a)]. 3745 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(255,a,2413,a(flip),b,2416,a)]. 3746 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1242(a,1),3388(a,1,1))]. 3747 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1242(a,1),3746(a,1,2,3))]. 3748 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2983(a,1),3747(a,1,2)),flip(a)]. 3749 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(2302(a,1),3748(a,1,1)),flip(a)]. 3750 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(3386(a,1),3748(a,1,1))]. 3751 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(1242(a,1),3750(a,1,2))]. 3752 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(255,a,3378,a(flip),b,3751,a(flip))]. 3753 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(255,a,3491,a(flip),b,3752,a)]. 3754 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(255,a,2812,a(flip),b,3753,a)]. 3755 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(255,a,3754,a(flip),b,3749,a(flip)),flip(a)]. 3756 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(1242(a,1),3755(a,2,2))]. 3757 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(255,a,3378,a(flip),b,3756,a)]. 3758 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(255,a,3350,a(flip),b,3757,a)]. 3759 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(2705(a,1),3758(a,1,1))]. 3760 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(255,a,3556,a(flip),b,3759,a(flip)),flip(a)]. 3761 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(3760(a,1),841(a,1,1))]. 3762 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(255,a,443,a(flip),b,3761,a(flip))]. 3763 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(255,a,31,a,b,3762,a),flip(a)]. 3764 L(K(x,y),y \ 1,y) = K(x,y). [para(31(a,2),3763(a,2,1)),flip(a)]. 3765 (x \ 1) * K(y,x) = x \ K(y,x). [hyper(80,a,3764,a(flip),b,190,a),flip(a)]. 3766 ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(3765(a,1),35(a,2,2)),flip(a)]. 3767 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(73(a,1),3541(a,1,1,3))]. 3768 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2812(a,1),3767(a,1,1))]. 3769 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1242(a,1),2672(a,1,1,2,1))]. 3770 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1710(a,1),3769(a,1,1,2)),flip(a)]. 3772 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3385(a,1),3770(a,2,1))]. 3773 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(169(a,1),3772(a,2,1))]. 3774 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(255,a,328,a(flip),b,3773,a)]. 3777 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3774(a,1),263(a,1,2)),flip(a)]. 3778 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. [hyper(255,a,17,a(flip),b,3777,a)]. 3779 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(3778(a,1),304(a,1,1)),flip(b)]. 3780 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(112(a,1),1855(a,1,2,1,2,1))]. 3781 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(255,a,1331,a(flip),b,3780,a(flip))]. 3782 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1053(a,1),3781(a,2,2))]. 3783 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(422,a,3782,a),flip(a)]. 3784 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(19(a,1),3783(a,1,2,1)),flip(a)]. 3785 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(255,a,1448,a,b,3784,a)]. 3786 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1914(a,1),3785(a,1,1))]. 3787 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(122(a,1),1857(a,1,1,1,2,2)),flip(a)]. 3788 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(255,a,789,a(flip),b,3787,a)]. 3789 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(255,a,2409,a(flip),b,3788,a)]. 3790 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(789(a,1),3789(a,1,1))]. 3791 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1903(a,1),3790(a,2,1))]. 3792 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(23,a,122,a,b,3791,a)]. 3793 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1910,a,3792,a),flip(a)]. 3794 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(19(a,1),3792(a,1,2,1)),flip(a)]. 3795 R(K(x,(x / y) / x),z,u) = K(x,(x / R(y,z,u)) / x). [para(1909(a,2),3793(a,1,1))]. 3796 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(255,a,1448,a,b,3794,a)]. 3797 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1159(a,1),3796(a,1,1,2,1))]. 3798 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3463(a,1),3797(a,1,1))]. 3799 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(35(a,2),1879(a,2,2,1,1))]. 3800 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1902(a,1),3799(a,1,1))]. 3801 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1639(a,1),3800(a,1,1,1))]. 3802 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(466,a,3801,a),flip(a)]. 3804 R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [hyper(255,a,1164,a(flip),b,3802,a(flip))]. 3805 R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). [para(592(a,1),3802(a,2,1,2))]. 3806 R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). [hyper(1188,a,3805,a),flip(a)]. 3807 a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z). [para(16(a,1),3806(a,1,1,2,1)),flip(a)]. 3808 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1713(a,1),3804(a,1,1,2)),flip(a)]. 3809 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(23,a,2673,a(flip),b,3808,a)]. 3810 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(3779,a,3809,a)]. 3811 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(80,a,3810,a(flip),b,2561,a)]. 3812 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(73(a,1),3810(a,1,2))]. 3813 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1180(a,1),3812(a,1,1))]. 3814 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1172(a,1),3813(a,1,1)),flip(a)]. 3815 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(33(a,2),1906(a,2,2,1,1))]. 3816 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(1007(a,1),3815(a,1,2))]. 3817 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(824(a,1),3816(a,1,2,2))]. 3818 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(431,a,3817,a),flip(a)]. 3820 L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). [para(675(a,1),3818(a,2,1,2))]. 3821 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(1044(a,1),3818(a,1,2))]. 3822 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1431(a,1),3820(a,1,2))]. 3823 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(153(a,1),3822(a,2,1,2))]. 3824 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1448(a,2),3823(a,2,1))]. 3825 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(17(a,1),3821(a,1,2,2)),flip(a)]. 3826 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2650(a,1),3825(a,1,1)),flip(a)]. 3827 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(255,a,3786,a(flip),b,3826,a)]. 3828 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(22,a,1448,a(flip),b,3827,a)]. 3829 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(255,a,3744,a,b,3828,a(flip)),flip(a)]. 3830 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(3829(a,1),70(a,1,2)),flip(a)]. 3831 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(70(a,1),3829(a,1,1,1,2)),flip(a)]. 3833 L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). [para(241(a,1),3830(a,2,2,2))]. 3835 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(3831(a,1),73(a,1,1))]. 3837 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(70(a,1),3835(a,1,1,1,1)),flip(a)]. 3840 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(3833(a,1),112(a,1,2))]. 3842 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [para(18(a,1),3840(a,2,2,2,2,2,2))]. 3843 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(35(a,2),1976(a,2,2,1,1))]. 3844 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1900(a,1),3843(a,1,1))]. 3845 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1643(a,1),3844(a,1,1,1))]. 3846 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(466,a,3845,a),flip(a)]. 3847 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(675(a,1),3846(a,2,1,2))]. 3848 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1177(a,1),3846(a,1,2))]. 3849 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1313(a,1),3847(a,1,2))]. 3850 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(153(a,1),3849(a,2,1,2))]. 3851 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1448(a,2),3850(a,2,1))]. 3852 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(17(a,1),3848(a,1,2,2)),flip(a)]. 3853 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3620(a,1),3852(a,1,1)),flip(a)]. 3854 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3617(a,1),3853(a,2,1))]. 3855 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(255,a,3798,a(flip),b,3854,a)]. 3856 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(22,a,1448,a(flip),b,3855,a)]. 3857 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(255,a,3814,a,b,3856,a(flip)),flip(a)]. 3858 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(3857(a,1),70(a,1,2)),flip(a)]. 3859 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. [para(145(a,1),3857(a,1,1,1)),flip(a)]. 3860 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2230(a,1),3857(a,1,1,1))]. 3861 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(70(a,1),3858(a,1,1,2)),flip(a)]. 3862 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(3859(a,1),73(a,1,1)),flip(a)]. 3863 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(3861(a,1),3368(a,1,2))]. 3864 R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. [para(472(a,1),3862(a,2,1,1))]. 3865 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3862(a,2),2239(a,1,1))]. 3866 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2813(a,1),3862(a,2,1,1))]. 3867 T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). [para(3862(a,2),3371(a,1,2))]. 3868 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(658(a,1),3860(a,1,1)),flip(a)]. 3869 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(255,a,2838,a,b,3866,a(flip)),flip(a)]. 3870 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(230,a,3865,a),flip(a)]. 3871 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2238(a,1),3870(a,2,1))]. 3872 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(255,a,3633,a(flip),b,3871,a(flip)),flip(a)]. 3873 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(255,a,3366,a(flip),b,3871,a(flip)),flip(a)]. 3874 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(3862(a,2),3873(a,1,1))]. 3875 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. [para(3190(a,1),3874(a,2,1))]. 3876 (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(3864(a,1),3875(a,1,1))]. 3877 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3190(a,1),3872(a,2,1))]. 3878 (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(21(a,1),3876(a,1,2,1))]. 3879 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). [hyper(1245,a,3878,a),flip(a)]. 3881 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(143(a,1),2539(a,1,2,2,2,2))]. 3882 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). [hyper(255,a,3842,a(flip),b,3881,a(flip))]. 3884 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). [para(3840(a,1),3882(a,2,2))]. 3885 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). [para(60(a,1),3884(a,2,2,2,2,2,2,2))]. 3887 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). [para(70(a,1),3885(a,2,2,2,2,2))]. 3888 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). [para(1448(a,2),3887(a,2,2,2))]. 3889 (x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z. [para(3888(a,1),24(a,1)),flip(a)]. 3890 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(3255(a,2),3273(a,2,2,2))]. 3891 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(2748(a,1),1217(a,1,1,2))]. 3892 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(21(a,1),3891(a,1,1,2))]. 3894 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1161(a,1),3892(a,1,1)),flip(a)]. 3896 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3894(a,1),3622(a,1,1))]. 3897 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(80,a,3896,a(flip),b,3587,a)]. 3898 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(2771,a,3897,a),flip(a)]. 3900 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3898(a,1),2532(a,1,1))]. 3901 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(3621,a,3900,a)]. 3902 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(255,a,3564,a,b,3901,a(flip)),flip(a)]. 3903 R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(3901(a,1),2671(a,1,1))]. 3904 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(3902(a,1),19(a,1,2))]. 3905 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(255,a,3858,a(flip),b,3904,a)]. 3906 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(22,a,1483,a,b,3905,a),flip(a)]. 3907 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(364,a,3906,a)]. 3908 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3906(a,1),1458(a,1,1)),flip(a)]. 3909 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3907(a,1),315(a,1))]. 3910 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3907(a,1),3877(a,1,1))]. 3911 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(255,a,3898,a(flip),b,3908,a)]. 3912 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3910(a,1),25(a,1))]. 3913 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(3312(a,1),3910(a,1,1))]. 3914 K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). [para(3312(a,1),3903(a,1,1)),flip(a)]. 3915 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(1524(a,1),3913(a,2,1,2))]. 3917 R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). [hyper(255,a,3906,a(flip),b,3914,a(flip))]. 3918 R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). [hyper(255,a,3312,a(flip),b,3917,a)]. 3919 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(3918(a,1),122(a,1,1)),flip(a)]. 3920 L(x,y,K(z,R(z \ 1,y,x))) = x. [hyper(422,a,3919,a)]. 3921 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(23,a,3915,a(flip),b,3919,a)]. 3922 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(23,a,2247,a,b,3921,a)]. 3925 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3922(a,1),3915(a,1,1)),flip(a)]. 3926 L(x,y,K(z,z \ 1)) = x. [para(3922(a,1),3920(a,1,3))]. 3932 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [hyper(255,a,2734,a,b,3926,a(flip)),flip(a)]. 3933 (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). [hyper(255,a,2941,a(flip),b,3926,a(flip)),flip(a)]. 3934 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(255,a,114,a(flip),b,3926,a(flip)),flip(a)]. 3936 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3926(a,1),112(a,1,2))]. 3937 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3926(a,1),375(a,1,2)),flip(a)]. 3938 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3926(a,1),483(a,1,2))]. 3940 L(x,y,K(z \ 1,z)) = x. [para(1451(a,1),3926(a,1,3))]. 3941 ((x \ 1) \ 1) / (y \ x) = K(x,x \ 1) * y. [para(3926(a,1),1474(a,1,2))]. 3942 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3926(a,1),1472(a,1,2)),flip(a)]. 3943 L(x,y,K(z \ u,u \ z)) = x. [para(2502(a,1),3926(a,1,3))]. 3947 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3645,a,3940,a),flip(a)]. 3949 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y). [hyper(255,a,2735,a,b,3940,a(flip)),flip(a)]. 3950 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(255,a,2932,a(flip),b,3940,a(flip))]. 3951 a(x,1 / y,y) = a(x,y \ 1,y). [hyper(255,a,2818,a(flip),b,3940,a(flip))]. 3952 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(255,a,2406,a(flip),b,3940,a(flip))]. 3953 (x * K(y \ 1,y)) \ K(y \ 1,y) = x \ 1. [hyper(255,a,2282,a(flip),b,3940,a(flip)),flip(a)]. 3954 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(255,a,114,a(flip),b,3940,a(flip)),flip(a)]. 3955 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3940(a,1),112(a,1,2))]. 3956 K(x \ 1,x) * (1 / y) = K(x \ 1,x) / y. [para(3940(a,1),375(a,1,2)),flip(a)]. 3957 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3940(a,1),483(a,1,2))]. 3958 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3940(a,1),2283(a,1,2))]. 3960 (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). [para(3943(a,1),112(a,1,2))]. 3962 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(255,a,3061,a,b,3947,a(flip)),flip(a)]. 3963 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(70(a,1),3947(a,1,3)),flip(a)]. 3965 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [hyper(255,a,2892,a,b,3951,a(flip)),flip(a)]. 3966 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(3632,a,3963,a)]. 3968 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3937(a,1),2253(a,1))]. 3969 K(x,x \ 1) * (x / y) = ((x \ 1) \ 1) / y. [para(73(a,1),3941(a,1,2)),flip(a)]. 3971 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2253,a,3942,a)]. 3973 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(2914(a,1),3953(a,1,1)),flip(a)]. 3974 (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. [hyper(2267,a,3956,a)]. 3975 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(255,a,114,a(flip),b,3966,a(flip))]. 3976 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2253,a,3969,a)]. 3977 (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). [hyper(302,a,3971,a),flip(a)]. 3978 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(613(a,1),3971(a,1,1)),flip(a)]. 3980 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(3977(a,1),73(a,1,1))]. 3983 (x * K(y,y \ 1)) \ K(y,y \ 1) = x \ 1. [hyper(80,a,64,a(flip),b,3925,a)]. 3984 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(81,a,3925,a(flip),b,122,a)]. 3985 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [para(2911(a,1),3925(a,1,1)),flip(a)]. 3986 K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. [para(3097(a,1),3925(a,1,1)),flip(a)]. 3988 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [para(2911(a,1),3983(a,1,1)),flip(a)]. 3989 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(2912(a,1),3983(a,1,1)),flip(a)]. 3991 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [para(2924(a,1),3933(a,1,1)),flip(a)]. 3992 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2924(a,1),3934(a,1,1)),flip(a)]. 3993 (x \ y) \ (K(x,x \ 1) * z) = (((x \ 1) \ 1) \ y) \ z. [para(3036(a,1),3934(a,1,1))]. 3994 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(454,a,3936,a)]. 3996 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(255,a,3851,a,b,3994,a(flip)),flip(a)]. 3998 K(x,x \ 1) * ((1 / (1 / x)) / y) = x / y. [para(1504(a,1),3938(a,1,1)),flip(a)]. 3999 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3938(a,1),2943(a,1,1))]. 4000 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [hyper(2921,a,3998,a)]. 4001 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(199(a,1),4000(a,1,2)),flip(a)]. 4004 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(3097(a,1),3950(a,1,1)),flip(a)]. 4005 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3950(a,1),3210(a,1))]. 4006 (K(x \ 1,x) * y) \ z = y \ (z * K(x,x \ 1)). [para(2913(a,1),3954(a,1,2))]. 4008 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3955(a,1),35(a,2,1,1)),flip(a)]. 4009 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3957(a,1),129(a,1,1))]. 4010 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3912,a,3958,a)]. 4013 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3958(a,1),33(a,2,1)),flip(a)]. 4014 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3958(a,1),431(a,1,2,2))]. 4015 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3958(a,1),3099(a,1,1))]. 4016 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3909,a,4010,a)]. 4017 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(4010(a,1),1163(a,1,2))]. 4020 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(255,a,128,a,b,3991,a),flip(a)]. 4021 x * ((x * K(y \ 1,y)) \ z) = K(y,y \ 1) * z. [para(3992(a,2),19(a,1,2))]. 4024 x * ((x * K(y \ 1,R(y,z,u))) \ w) = K(y,y \ 1) * w. [para(4010(a,2),4021(a,1,2,1,2))]. 4028 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) = T(x,y / (z \ 1)). [para(2827(a,1),3949(a,1,1,2))]. 4029 a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x. [hyper(81,a,2944,a(flip),b,3986,a(flip))]. 4032 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(4004(a,1),3731(a,1,2,1)),flip(a)]. 4033 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(3207(a,1),4009(a,1,1))]. 4034 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(23,a,3098,a,b,4017,a),flip(a)]. 4036 R(x,y,z) / x = x \ R(x,y,z). [hyper(255,a,1173,a(flip),b,4034,a(flip)),flip(a)]. 4037 (x \ R(x,y,z)) * x = R(x,y,z). [para(4036(a,1),21(a,1,1))]. 4038 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(4036(a,1),480(a,1,1))]. 4039 T(x,x \ R(x,y,z)) = x. [hyper(286,a,4037,a)]. 4040 x * ((x * K(y \ 1,R(y,z,u))) \ w) != v5 * w | K(y,y \ 1) = v5. [para(4024(a,2),25(a,1))]. 4041 (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). [para(2519(a,1),3960(a,1,1))]. 4042 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(4038(a,2),2232(a,1,1,1,1))]. 4043 (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. [para(4041(a,2),159(a,1)),flip(b)]. 4044 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(255,a,2318,a(flip),b,3984,a(flip))]. 4045 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1451(a,1),4044(a,1,2)),flip(a)]. 4046 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1451(a,1),4045(a,1,3)),flip(a)]. 4047 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3955(a,1),4008(a,1,1))]. 4048 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(255,a,3957,a(flip),b,4047,a(flip)),flip(a)]. 4049 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(35(a,2),4048(a,1,2)),flip(a)]. 4050 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(255,a,2990,a(flip),b,4049,a)]. 4051 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2938,a,4049,a(flip))]. 4052 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1481(a,1),4051(a,1,2,1))]. 4053 R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). [para(2918(a,1),4051(a,1,2,1)),flip(a)]. 4054 R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). [hyper(255,a,2247,a(flip),b,4053,a)]. 4055 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3330(a,1),4032(a,2,2))]. 4056 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2878(a,1),4050(a,1,1)),flip(a)]. 4057 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(96,a,4056,a)]. 4058 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(19(a,1),4056(a,1,1,2,1)),flip(a)]. 4059 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(21(a,1),4057(a,1,1,1)),flip(a)]. 4060 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(472(a,1),4058(a,2,1,2))]. 4061 R((x \ (1 / y)) * x,y,x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(4058(a,2),1199(a,1,1))]. 4062 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2813(a,1),4058(a,2,1,2))]. 4063 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(4059(a,1),19(a,1,2)),flip(a)]. 4064 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(4063(a,2),3745(a,1,1))]. 4065 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(81,a,4060,a(flip),b,193,a)]. 4066 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(255,a,3558,a(flip),b,4062,a(flip))]. 4067 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(81,a,4062,a(flip),b,2810,a),flip(a)]. 4068 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(4062(a,1),3768(a,1,1)),flip(a)]. 4069 (x * (y \ T(y,x))) * y = y * x. [para(18(a,1),4066(a,1,1)),flip(a)]. 4070 x * (y \ T(y,x)) = (y * x) / y. [hyper(96,a,4069,a),flip(a)]. 4071 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(81,a,19,a(flip),b,4069,a),flip(a)]. 4072 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(23,a,127,a(flip),b,4069,a)]. 4073 R(x,y \ T(y,x),y) = (y * x) / T(y,x). [hyper(81,a,4069,a(flip),b,3253,a),flip(a)]. 4074 x \ ((y * x) / y) = y \ T(y,x). [hyper(87,a,4070,a)]. 4076 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(80,a,251,a(flip),b,4070,a),flip(a)]. 4077 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(80,a,167,a(flip),b,4070,a)]. 4078 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(22,a,3184,a,b,4070,a),flip(a)]. 4079 ((x * y) / x) / y = x \ T(x,y). [hyper(22,a,3179,a,b,4070,a),flip(a)]. 4080 (x \ T(x,y)) * y = (x * y) / x. [hyper(255,a,3154,a,b,4070,a(flip)),flip(a)]. 4082 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(4070(a,1),929(a,1,2))]. 4083 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(4070(a,1),2571(a,1,1))]. 4084 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(3240(a,1),4070(a,1,2)),flip(a)]. 4085 ((x * y) / x) \ y = T(x,y) \ x. [para(4070(a,1),3487(a,1,1))]. 4086 (T(x,y) \ x) * ((x * y) / x) = y. [para(4070(a,1),3584(a,1,2))]. 4087 T(x,T(y,x)) \ x = y \ T(y,x). [para(4072(a,1),3487(a,1,1)),flip(a)]. 4088 x * (T(y,T(x,y)) \ y) = T(x,y). [para(4072(a,1),3488(a,1,1))]. 4089 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(4074(a,1),438(a,1,1))]. 4090 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(4074(a,1),1859(a,1,1)),flip(a)]. 4091 x * (T(y,x) \ y) = T(x,T(y,x)). [para(4077(a,2),19(a,1,2))]. 4092 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(4077(a,2),3242(a,1,1))]. 4093 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(4079(a,1),452(a,1,1,1))]. 4094 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(4079(a,1),450(a,1,1,1))]. 4095 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((1 / (x * y)) \ T(1 / (x * y),x)) * x. [para(4029(a,2),4080(a,2,1)),flip(a)]. 4096 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(19(a,1),4085(a,1,1,1)),flip(a)]. 4097 (((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(4085(a,1),1145(a,1,1,2,2)),flip(a)]. 4098 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(4085(a,1),1605(a,1,2,2,1))]. 4099 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3648,a,4086,a)]. 4100 K(x \ (x / (y \ 1)),x) = T(x,T(y,x)) \ x. [hyper(255,a,1204,a,b,4087,a),flip(a)]. 4101 T(x,T(y,x)) * (y \ T(y,x)) = x. [para(4087(a,1),19(a,1,2))]. 4102 x * (y \ T(y,z)) != z | T(z,T(y,z)) = x. [para(4087(a,1),94(a,1,2)),flip(b)]. 4103 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(4087(a,1),3134(a,1,1))]. 4104 (x * (T(x,T(y,x)) \ x)) * y = y * x. [para(4087(a,2),4069(a,1,1,2))]. 4105 (x * y) / x = y * (T(y,T(x,y)) \ y). [para(4087(a,2),4070(a,1,2)),flip(a)]. 4106 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [hyper(255,a,3686,a(flip),b,4091,a(flip))]. 4107 L(x,y \ T(y,x),y) = x. [hyper(255,a,3577,a(flip),b,4101,a(flip)),flip(a)]. 4110 T(x,y) \ (y * (x \ T(x,y))) = x \ y. [hyper(80,a,4107,a(flip),b,3178,a),flip(a)]. 4111 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(3240(a,1),4103(a,1,1))]. 4112 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(128(a,1),4071(a,1,2,2))]. 4113 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(4083(a,1),431(a,1,1))]. 4114 T(x * (T(x,T(y,x)) \ x),y) = x. [hyper(172,a,4104,a,b,xx)]. 4116 T(x,y) \ ((x * y) / x) = x \ y. [para(4070(a,1),4110(a,1,2))]. 4117 T(x / y,T(y,x)) = y \ x. [hyper(899,a,4116,a)]. 4118 T(x,y) * (x \ y) = (x * y) / x. [para(4116(a,1),19(a,1,2))]. 4119 T(x,T(y,x * y)) = y \ (x * y). [para(20(a,1),4117(a,1,1))]. 4120 T(x / ((x * y) / x),y) = ((x * y) / x) \ x. [para(166(a,1),4117(a,1,2))]. 4121 T(x \ y,T(x,y)) = T(x \ y,x). [para(4117(a,1),185(a,1,1)),flip(a)]. 4122 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(4117(a,1),2008(a,1,1)),flip(a)]. 4123 T(x,x / (x / y)) = T(x,y). [hyper(23,a,1632,a,b,4118,a),flip(a)]. 4125 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(105(a,1),4118(a,1,2))]. 4126 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(4118(a,1),431(a,1,1))]. 4127 T(x,y) * y = x * ((x * y) / x). [para(4118(a,1),1078(a,1,2)),flip(a)]. 4128 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(4118(a,1),3162(a,1,1,1))]. 4129 T(x,x / (1 / y)) = T(x,x * y). [hyper(255,a,1637,a(flip),b,4123,a(flip)),flip(a)]. 4130 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(255,a,1000,a(flip),b,4123,a(flip)),flip(a)]. 4131 (x / y) \ T(x,y) = (x * y) / x. [hyper(80,a,4123,a(flip),b,998,a)]. 4132 T(x,x / y) = T(x,y \ x). [para(70(a,1),4123(a,1,2,2))]. 4133 T(x,(y \ x) \ x) = T(x,y). [para(145(a,1),4123(a,1,2)),flip(a)]. 4134 T(T(x,y) / (x / y),x) = x / (x / y). [para(4123(a,1),988(a,1,1,1))]. 4135 T(x,T(y,x)) * (y * x) = x * (x * y). [para(4123(a,1),1359(a,1,1))]. 4136 T(x,(y \ 1) \ x) = T(x,y * x). [hyper(1617,a,4132,a),flip(a)]. 4137 T(T(x,y \ x) / y,x) = x / y. [para(4132(a,1),988(a,1,1,1))]. 4138 T(x,T(y,y \ x)) = T(x,y). [para(128(a,2),4133(a,1,2))]. 4139 T(x,T(y,x * y)) = T(x,y). [hyper(255,a,37,a,b,4119,a)]. 4140 T(x,T(x \ y,y)) = T(x,x \ y). [para(19(a,1),4139(a,1,2,2))]. 4141 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(4121(a,1),127(a,1,2))]. 4143 x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). [para(4121(a,2),388(a,1,2,2))]. 4145 T(x,x \ y) * (x \ y) = x * (y / x). [para(19(a,1),4127(a,2,2,1))]. 4147 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(4129(a,1),1621(a,1,1))]. 4148 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(20(a,1),4131(a,1,1)),flip(a)]. 4149 T(x,(1 / y) * x) = T(x,y \ x). [para(73(a,1),4136(a,1,2,1)),flip(a)]. 4150 T(T(x * y,y) / x,x * y) = (x * y) / x. [para(18(a,1),4137(a,1,1,1,2))]. 4151 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(87,a,4112,a)]. 4154 (x * (y / x)) \ (T(x,x \ y) * ((x \ y) * z)) = L(z,x \ y,T(x,x \ y)). [para(4145(a,1),33(a,2,1)),flip(a)]. 4155 T(x,x \ y) * y = x * (x * (y / x)). [para(4145(a,1),1078(a,1,2)),flip(a)]. 4157 R(x,y \ T(y,x),y) = x. [hyper(255,a,144,a(flip),b,4073,a)]. 4159 R(T(x,y),z \ T(z,x),z) = T(x,y). [para(4157(a,1),47(a,2,1))]. 4160 (T(x,y) * (z \ T(z,x))) * z = T(x,y) * T(z,x). [para(4159(a,1),3253(a,1,1)),flip(a)]. 4161 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(167(a,1),4089(a,2,2)),flip(a)]. 4162 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(255,a,3236,a(flip),b,4090,a)]. 4163 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(3498,a,4162,a),flip(a)]. 4165 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(3439(a,1),4162(a,1,2))]. 4166 T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. [para(4162(a,1),3498(a,1))]. 4167 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [hyper(255,a,3557,a(flip),b,4165,a(flip)),flip(a)]. 4168 T(x,x / (x * y)) = T(x,y \ 1). [hyper(255,a,3443,a(flip),b,4165,a(flip)),flip(a)]. 4169 T(x,x / (y * x)) = T(x,y \ 1). [hyper(255,a,3438,a(flip),b,4165,a(flip)),flip(a)]. 4170 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2418,a,4168,a)]. 4174 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(81,a,4168,a(flip),b,2412,a)]. 4175 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(80,a,4168,a(flip),b,1916,a),flip(a)]. 4176 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(4168(a,1),2060(a,1,1,2))]. 4177 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(4168(a,1),2414(a,1,2)),flip(a)]. 4178 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(80,a,4169,a(flip),b,1063,a)]. 4179 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(128(a,2),4163(a,1,2,1))]. 4181 T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). [para(70(a,1),4174(a,2,2,1))]. 4183 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(4174(a,2),162(a,2,1))]. 4184 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(4175(a,1),3795(a,1,1))]. 4185 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(80,a,4178,a,b,4145,a)]. 4186 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(80,a,4178,a,b,xx)]. 4187 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(73(a,1),4178(a,2,2,1))]. 4188 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(350(a,2),4178(a,2,2)),flip(a)]. 4189 R(x,(y \ x) / x,x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [para(4178(a,2),124(a,1,1,1)),flip(a)]. 4192 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(4079(a,1),4128(a,1,1))]. 4193 K(T(x,y),y) = K(x,(x * y) / x). [hyper(255,a,4089,a(flip),b,4192,a(flip))]. 4194 K(T(x,x \ y),x \ y) = K(x,y / x). [para(19(a,1),4193(a,2,2,1))]. 4195 K(T(x,T(y,x)),T(y,x)) = K(x,y). [para(167(a,1),4193(a,2,2))]. 4197 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(255,a,4130,a(flip),b,4147,a)]. 4198 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(4197(a,1),184(a,1,2))]. 4199 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(4197(a,1),1068(a,1,2)),flip(a)]. 4200 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(129(a,1),4076(a,1,2))]. 4201 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(255,a,4096,a,b,4200,a(flip)),flip(a)]. 4202 x / (x / y) = y * (T(y,y \ x) \ y). [para(4201(a,2),19(a,1,2)),flip(a)]. 4203 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(18(a,1),4202(a,2,2,1,2))]. 4204 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(255,a,1189,a,b,4078,a(flip)),flip(a)]. 4205 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(255,a,3783,a(flip),b,4078,a(flip)),flip(a)]. 4207 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(4078(a,1),2356(a,2,2,1))]. 4208 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(4078(a,1),2417(a,2,2,1))]. 4209 (T(x,T(y,x)) \ x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(4100(a,1),3890(a,1,1))]. 4211 T(x \ T(x * y,y),x) = R(y,x,y). [para(4148(a,1),703(a,2,1)),flip(a)]. 4212 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(4148(a,1),714(a,1,1))]. 4213 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(4212(a,1),106(a,1,1))]. 4214 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(4177(a,1),2873(a,2,1,2))]. 4216 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(255,a,933,a(flip),b,4187,a(flip)),flip(a)]. 4217 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(23,a,397,a,b,4199,a),flip(a)]. 4218 (x / ((x * y) / x)) * y = x * (T(x,y) \ x). [hyper(255,a,1627,a(flip),b,4203,a(flip)),flip(a)]. 4219 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(255,a,1125,a(flip),b,4203,a(flip)),flip(a)]. 4221 T(x * (T(x,T(y,x)) \ x),T(y,x)) = L(R(x,y,x),y,x). [para(4105(a,1),4217(a,1,1))]. 4222 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(4148(a,1),4217(a,1,1))]. 4223 x \ (y * (T(y,x) \ y)) = T(y / ((y * x) / y),x). [hyper(172,a,4218,a,b,19,a),flip(a)]. 4225 (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). [para(4219(a,1),73(a,1,1))]. 4226 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(4219(a,1),1557(a,2,2,1,2))]. 4227 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(73(a,1),4188(a,2,2,2))]. 4228 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1138(a,1),4084(a,2,2))]. 4229 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(255,a,4143,a(flip),b,4122,a(flip))]. 4230 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(255,a,615,a(flip),b,4229,a(flip))]. 4231 K(x,T(y,y * x)) = K(x,y). [hyper(255,a,615,a(flip),b,4230,a(flip))]. 4233 K(x \ 1,T(y,x \ y)) = K(x \ 1,y). [para(1990(a,1),4231(a,1,2))]. 4234 K((x \ 1) \ 1,T(y,x * y)) = K((x \ 1) \ 1,y). [para(4136(a,1),4233(a,1,2))]. 4235 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(22,a,859,a,b,4167,a),flip(a)]. 4236 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(255,a,4175,a(flip),b,4176,a),flip(a)]. 4237 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(4179(a,2),24(a,1))]. 4239 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [hyper(255,a,4120,a(flip),b,4223,a)]. 4240 K((x \ 1) \ 1,y) = K(x,T(y,x * y)). [hyper(255,a,3312,a(flip),b,4234,a(flip))]. 4241 K(x,T(y,x * y)) = K(x,y). [hyper(255,a,3312,a(flip),b,4240,a(flip))]. 4242 K(x,T(x \ y,y)) = K(x,x \ y). [para(19(a,1),4241(a,1,2,2))]. 4243 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(255,a,3080,a(flip),b,4235,a(flip))]. 4244 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3264(a,1),4236(a,1,2,2,1)),flip(a)]. 4245 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(160(a,2),4243(a,1,2))]. 4246 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(81,a,4245,a(flip),b,774,a),flip(a)]. 4247 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(4092(a,1),840(a,1,1))]. 4248 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(255,a,4175,a(flip),b,4184,a)]. 4249 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(255,a,1401,a(flip),b,4067,a(flip)),flip(a)]. 4250 (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. [para(4125(a,1),25(a,1))]. 4251 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(4078(a,1),4205(a,1,1))]. 4252 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(4175(a,1),4207(a,1,1))]. 4253 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(3470(a,1),4227(a,1,2))]. 4254 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(4253(a,1),3725(a,1,2)),flip(a)]. 4255 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(255,a,3726,a(flip),b,4254,a),flip(a)]. 4256 ((1 / (x * y)) * x) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [hyper(255,a,3215,a,b,4228,a(flip)),flip(a)]. 4257 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(4228(a,2),24(a,1))]. 4258 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(255,a,4083,a(flip),b,4246,a(flip)),flip(a)]. 4259 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(255,a,2047,a(flip),b,4258,a(flip)),flip(a)]. 4260 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(18(a,1),4259(a,1,1,1)),flip(a)]. 4261 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(18(a,1),4260(a,1,1,1)),flip(a)]. 4262 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [para(4029(a,2),4256(a,1,1))]. 4263 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(255,a,3962,a(flip),b,4099,a(flip)),flip(a)]. 4264 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(3065(a,1),4263(a,2,1))]. 4265 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(255,a,4261,a(flip),b,4264,a(flip))]. 4266 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(4265(a,1),2710(a,1,2,1))]. 4267 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(255,a,263,a(flip),b,4055,a),flip(a)]. 4268 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(31(a,2),4247(a,2,1))]. 4269 x * ((y * x) * T((y * x) \ 1,x)) = (((x \ (1 / y)) * x) * y) * x. [hyper(230,a,4061,a),flip(a)]. 4270 x * (y * (x * T(x \ (y \ 1),x))) = (((x \ (1 / y)) * x) * y) * x. [para(832(a,1),4269(a,1,2))]. 4271 (((x \ (1 / y)) * x) * y) * x = x * (y * ((x \ (y \ 1)) * x)). [para(127(a,1),4270(a,1,2,2)),flip(a)]. 4272 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(255,a,4248,a,b,4244,a)]. 4273 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) != x * z | ((x \ (1 / y)) * x) * y = z. [para(4262(a,2),24(a,1))]. 4274 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3371(a,1),4272(a,2,1,2))]. 4275 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(16(a,1),4068(a,2,1,1,2))]. 4276 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(73(a,1),4275(a,2,2))]. 4277 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(255,a,1744,a(flip),b,4226,a(flip))]. 4278 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(127(a,1),4277(a,2,1,2))]. 4279 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(4239(a,1),4278(a,1,2,1))]. 4280 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(4085(a,1),4098(a,2,2))]. 4281 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(4033(a,2),4005(a,1))]. 4282 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2899(a,1),4214(a,1,1,1))]. 4283 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3976(a,1),4282(a,1,1,1))]. 4284 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(129(a,1),4283(a,1,1))]. 4285 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(4186(a,1),4284(a,2,1))]. 4286 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(255,a,21,a(flip),b,4285,a)]. 4287 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(23,a,2926,a(flip),b,4285,a),flip(a)]. 4290 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(4286(a,1),2831(a,1,1)),flip(a)]. 4291 K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. [para(4287(a,1),3925(a,1,1)),flip(a)]. 4292 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(4291(a,1),3088(a,1,2))]. 4293 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(4291(a,1),3204(a,1,1))]. 4294 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3958(a,1),4013(a,1,2))]. 4295 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(255,a,3957,a(flip),b,4015,a(flip)),flip(a)]. 4296 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((x * y) * T((x * y) \ 1,x)) * x. [para(663(a,1),4095(a,2,1))]. 4297 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = (((x \ (1 / y)) * x) * y) * x. [para(1138(a,1),4296(a,2,1))]. 4298 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (y * ((x \ (y \ 1)) * x)). [hyper(255,a,4271,a(flip),b,4297,a)]. 4299 ((x \ (1 / y)) * x) * y = y * ((x \ (y \ 1)) * x). [hyper(4273,a,4298,a)]. 4300 (x \ 1) * ((y \ ((x \ 1) \ 1)) * y) = ((y \ x) * y) * (x \ 1). [para(70(a,1),4299(a,1,1,1,2)),flip(a)]. 4301 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(255,a,4292,a(flip),b,4300,a(flip))]. 4302 (T(x,T(y,x)) \ x) \ (L(z,y,T(x,T(y,x)) \ x) * T(y,x)) = y * T(z,T(y,x)). [para(4100(a,1),4209(a,1,2,1,3))]. 4303 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(752,a,4294,a)]. 4304 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(255,a,3940,a(flip),b,4303,a(flip))]. 4306 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2263(a,2),4304(a,1,3))]. 4307 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(3068(a,1),4306(a,1,3)),flip(a)]. 4308 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1451(a,1),3978(a,2,2))]. 4309 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(70(a,1),4308(a,1,1))]. 4310 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(255,a,4286,a(flip),b,4309,a)]. 4311 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(564(a,1),4310(a,1,2,2,2))]. 4312 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(288(a,1),4310(a,1,2,2,2))]. 4313 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(255,a,4001,a(flip),b,4312,a(flip)),flip(a)]. 4316 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(4313(a,1),3985(a,1,2,1))]. 4317 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(255,a,3108,a(flip),b,4316,a(flip)),flip(a)]. 4318 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(4317(a,1),4276(a,1,1))]. 4319 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(255,a,4301,a(flip),b,4318,a(flip)),flip(a)]. 4320 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(4318(a,1),24(a,1))]. 4327 ((x * (y * T(y \ T(z,x),y))) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(2471(a,1),4097(a,1,1))]. 4328 ((x * ((y \ T(z,x)) * y)) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(127(a,1),4327(a,1,1,1,2))]. 4329 ((x * ((y \ T(z,x)) * y)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(4085(a,1),4328(a,1,2))]. 4330 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(230,a,4064,a),flip(a)]. 4332 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(255,a,4208,a(flip),b,4330,a(flip))]. 4333 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(4170(a,1),4332(a,1,1)),flip(a)]. 4334 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3371(a,1),4333(a,1,2,1,2)),flip(a)]. 4335 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3371(a,1),4334(a,1,1)),flip(a)]. 4336 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(18(a,1),4335(a,1,2,2)),flip(a)]. 4337 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(18(a,1),4336(a,1,2)),flip(a)]. 4338 L(x,y \ T(y,z),y) = x. [hyper(672,a,4337,a)]. 4340 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(96,a,4337,a)]. 4341 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(22,a,1078,a,b,4337,a)]. 4342 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(22,a,4155,a(flip),b,4337,a)]. 4343 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(22,a,1074,a(flip),b,4337,a)]. 4345 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(4077(a,2),4337(a,1,2,1))]. 4347 L(x,y,y \ T(y,z)) = x. [hyper(3466,a,4338,a)]. 4351 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(80,a,4338,a(flip),b,3571,a)]. 4353 L(x,T(y,T(z,y)) \ y,z) = x. [para(4087(a,2),4338(a,1,2))]. 4356 L(x,y,T(z,T(y,z)) \ z) = x. [para(4087(a,2),4347(a,1,3))]. 4357 L(x,T(y,z) \ y,(y * z) / y) = x. [para(166(a,1),4353(a,1,2,1,2))]. 4358 (T(x,T(y,x)) \ x) \ (z * T(y,x)) = y * T(z,T(y,x)). [para(4356(a,1),4302(a,1,2,1))]. 4359 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(80,a,4357,a(flip),b,4280,a),flip(a)]. 4360 R(x,x \ T(x,y),z) = x. [hyper(680,a,4340,a)]. 4361 R(x,x \ (K(y,x) \ x),z) = x. [para(4106(a,1),4360(a,1,2,2))]. 4362 R(x,K(y,x) \ 1,z) = x. [para(3683(a,1),4361(a,1,2))]. 4363 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(255,a,4252,a(flip),b,4341,a(flip))]. 4364 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(255,a,3643,a(flip),b,4341,a(flip))]. 4366 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(96,a,4343,a)]. 4367 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [hyper(87,a,4343,a)]. 4368 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(4343(a,1),222(a,1,2)),flip(b)]. 4372 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(3254,a,4366,a)]. 4373 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(4366(a,1),4268(a,1,1)),flip(a)]. 4375 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(255,a,3490,a(flip),b,4372,a(flip)),flip(a)]. 4377 (T(x,y) \ x) * (x * y) = y * x. [hyper(22,a,4135,a(flip),b,4345,a)]. 4378 K(x,y) = T(T(y,x) \ y,y * x). [hyper(172,a,4377,a,b,104,a),flip(a)]. 4379 (x * y) / (y * x) = T(y,x) \ y. [hyper(96,a,4377,a)]. 4380 T(x,y / x) \ x = y / (x * (y / x)). [hyper(81,a,21,a(flip),b,4377,a),flip(a)]. 4383 T(T(x,x \ y) \ x,y) = K(x \ y,x). [para(19(a,1),4378(a,2,2)),flip(a)]. 4384 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(21(a,1),4379(a,1,2)),flip(a)]. 4385 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(4379(a,2),2710(a,1,2,1)),flip(a)]. 4386 T(x \ (y / (y / x)),y) = K(x \ y,x). [para(4201(a,1),4383(a,1,1))]. 4387 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(255,a,4266,a(flip),b,4385,a),flip(a)]. 4388 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(2044(a,1),4387(a,1,2))]. 4389 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(4359(a,1),19(a,1,2))]. 4390 (x * (y / x)) / y = (x \ y) \ (y / x). [para(129(a,1),4384(a,1,1)),flip(a)]. 4391 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(255,a,4151,a(flip),b,4390,a)]. 4392 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(255,a,4204,a(flip),b,4391,a(flip))]. 4393 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(255,a,4094,a,b,4389,a(flip)),flip(a)]. 4394 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(19(a,1),4368(a,1,2))]. 4395 R(K(x,y),x,z) = K(x,y). [hyper(255,a,4161,a,b,4373,a)]. 4397 (K(x,y) * x) * z = K(x,y) * (x * z). [para(4395(a,1),122(a,1,1)),flip(a)]. 4398 L(x,y,K(y,z)) = x. [hyper(422,a,4397,a)]. 4406 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1291,a,4375,a),flip(a)]. 4408 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(4392(a,1),3251(a,1,1))]. 4409 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(3241,a,4408,a),flip(a)]. 4410 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(18(a,1),4409(a,1,2,2))]. 4411 T(x,(x / y) \ 1) = T(x,x \ y). [para(73(a,1),4409(a,1,2,2)),flip(a)]. 4412 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(4409(a,1),169(a,1,2))]. 4415 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4409(a,1),4201(a,1,1)),flip(a)]. 4416 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4409(a,1),4185(a,1,1))]. 4417 (x / y) \ T(x,x \ y) = x * (y / x). [para(4411(a,1),4187(a,1,2))]. 4418 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(73(a,1),4412(a,1,2,2))]. 4420 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(20(a,1),4417(a,2,2))]. 4421 ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). [para(4417(a,1),1812(a,1,1,2,1))]. 4422 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(255,a,128,a(flip),b,4410,a(flip))]. 4423 x / T(y * x,y \ 1) = (y * x) \ x. [para(4410(a,1),199(a,1,2))]. 4424 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(255,a,3371,a(flip),b,4422,a(flip)),flip(a)]. 4425 (x \ ((1 / y) \ x)) * z != (1 / y) \ x | T(x,y) = z. [para(4418(a,1),24(a,1)),flip(a)]. 4426 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(37(a,2),4420(a,1,2,2))]. 4427 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(3046(a,1),4416(a,2,2))]. 4428 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(255,a,4076,a(flip),b,4406,a(flip)),flip(a)]. 4429 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(4406(a,1),4103(a,1,1)),flip(a)]. 4430 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(255,a,4415,a(flip),b,4428,a(flip)),flip(a)]. 4431 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(255,a,1200,a,b,4430,a),flip(a)]. 4432 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(255,a,924,a(flip),b,4430,a)]. 4434 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(4430(a,2),33(a,2,1)),flip(a)]. 4436 T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). [para(4430(a,2),1646(a,1,1))]. 4437 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(4430(a,2),3227(a,2,2)),flip(a)]. 4438 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4431(a,2),3134(a,1,1))]. 4439 T(x,y) \ x = y \ T(y,x). [para(3371(a,1),4432(a,1,1))]. 4440 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(255,a,4076,a(flip),b,4439,a)]. 4441 T(x,y) * (y \ T(y,x)) = x. [para(4439(a,1),19(a,1,2))]. 4442 (x * y) / x = y * (T(y,x) \ y). [para(4439(a,2),4070(a,1,2)),flip(a)]. 4443 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4439(a,2),4337(a,1,2,1))]. 4444 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4439(a,2),4341(a,1,1)),flip(a)]. 4445 K(x,y) = T(x \ T(x,y),y * x). [para(4439(a,1),4378(a,2,1))]. 4446 T(x,T(y,x)) = T(x,y). [hyper(4102,a,4441,a)]. 4448 T(x,y) * T(y,x) = x * y. [para(4441(a,1),4160(a,1,1)),flip(a)]. 4449 T(x,y) \ (x * y) = T(y,x). [hyper(1129,a,4446,a)]. 4450 T(x,x \ y) \ y = T(x \ y,x). [hyper(1128,a,4446,a)]. 4451 R(T(x,x * y),y,x) = T(x,y). [hyper(255,a,4197,a,b,4446,a(flip)),flip(a)]. 4452 (x / T(y,x)) * y = T(x,y). [hyper(255,a,4130,a,b,4446,a(flip)),flip(a)]. 4454 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(255,a,4388,a(flip),b,4446,a(flip))]. 4455 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(255,a,278,a(flip),b,4446,a(flip))]. 4456 T(x,y) / y = x / T(y,x). [hyper(81,a,4446,a(flip),b,4130,a)]. 4457 T(x,y) / (T(y,x) \ x) = y. [hyper(81,a,4446,a(flip),b,1100,a)]. 4458 T(x,y) \ y = x \ T(y,x). [hyper(80,a,4446,a(flip),b,1100,a),flip(a)]. 4459 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(4446(a,1),43(a,1,1)),flip(a)]. 4460 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(43(a,1),4446(a,1,2))]. 4462 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(45(a,2),4446(a,1,2))]. 4463 T(x,y / x) = T(x,x \ y). [para(129(a,1),4446(a,1,2)),flip(a)]. 4465 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(4446(a,1),182(a,1,2,1))]. 4467 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(543(a,1),4446(a,1,2))]. 4468 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(4446(a,1),183(a,1,2,1))]. 4469 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4446(a,1),184(a,1,2,1))]. 4470 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(4446(a,1),361(a,1,2,1))]. 4473 T(x * (T(x,y) \ x),y) = x. [para(4446(a,1),4114(a,1,1,2,1))]. 4474 K(T(x,y),T(y,x)) = K(x,y). [para(4446(a,1),4195(a,1,1))]. 4475 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(4446(a,1),4198(a,1,2)),flip(a)]. 4476 (x / (y * x)) \ T(x,y) = x * y. [para(4446(a,1),4426(a,1,2))]. 4477 T(x,y) * (x \ T(y,x)) = y. [hyper(1099,a,4448,a)]. 4478 T(x,y) \ (y * x) = T(T(y,x),T(x,y)). [hyper(172,a,4448,a,b,19,a),flip(a)]. 4479 (x * y) / T(y,x) = T(x,y). [hyper(96,a,4448,a)]. 4481 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(4448(a,1),29(a,2,1,2)),flip(a)]. 4482 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4448(a,1),29(a,2,2,1)),flip(a)]. 4485 (x * y) * L(z,T(y,x),T(x,y)) = T(x,y) * (T(y,x) * z). [para(4448(a,1),112(a,1,1))]. 4486 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(4448(a,1),122(a,1,2))]. 4491 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). [para(43(a,1),4457(a,1,2,1))]. 4492 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(4458(a,1),101(a,1,1,2,1))]. 4493 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(4458(a,1),2325(a,1,2,1))]. 4494 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(4458(a,1),2115(a,1,2,1))]. 4496 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(255,a,721,a,b,4463,a(flip)),flip(a)]. 4497 (x * (y / x)) / T(x,x \ y) = y / x. [para(4463(a,1),144(a,1,2))]. 4498 x / T(y,x / y) = y \ x. [para(4463(a,2),199(a,1,2))]. 4501 (x * (y / x)) * x = y * T(x,x \ y). [para(4463(a,1),731(a,2,2))]. 4502 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(4463(a,1),816(a,1,2,2))]. 4503 T(x,T(y,x / y)) = T(x,y). [para(4463(a,2),4138(a,1,2))]. 4505 L(R(x,y,x),y,x) = x. [hyper(255,a,4221,a(flip),b,4473,a(flip)),flip(a)]. 4506 T(x / (x / y),y \ x) = y. [para(4202(a,2),4473(a,1,1))]. 4508 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(255,a,4222,a,b,4505,a(flip)),flip(a)]. 4509 R(L(x,y,x),y,x) = x. [hyper(255,a,49,a,b,4505,a(flip)),flip(a)]. 4510 (L(x,y,x) * y) * x = x * (y * x). [para(4505(a,1),460(a,1,1)),flip(a)]. 4511 (x * (y * x)) / x = L(x,y,x) * y. [para(4509(a,1),252(a,1,1,1))]. 4516 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(4479(a,1),894(a,1,1)),flip(a)]. 4518 x / T(y \ x,y) = (y \ x) \ x. [para(70(a,1),4498(a,1,2,2))]. 4519 T(x * y,T(y,x)) = T(x * y,y). [para(20(a,1),4503(a,1,2,2))]. 4522 T(x / (x / (x / y)),y) = x / y. [para(73(a,1),4506(a,1,2))]. 4523 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(4506(a,1),127(a,1,2)),flip(a)]. 4524 ((x \ y) * x) / (x \ y) = y / (y / x). [para(4506(a,1),167(a,1,1,2))]. 4525 R(T(x,y),x \ y,x) = T(x,x \ y). [para(19(a,1),4451(a,1,1,2))]. 4526 ((x * y) / x) \ x = y \ ((y * x) / y). [para(4442(a,2),4225(a,1,1))]. 4527 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(255,a,4236,a,b,4445,a),flip(a)]. 4528 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(255,a,4211,a(flip),b,4450,a)]. 4530 (x \ T(x,x \ y)) \ y = x * T(x \ y,x). [para(4450(a,1),4351(a,2,2))]. 4532 T(x,(1 / x) * y) = T(x,x \ y). [hyper(255,a,3065,a,b,4454,a(flip)),flip(a)]. 4533 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(4454(a,1),4267(a,2,1,2))]. 4534 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(4455(a,1),677(a,1,1))]. 4536 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(45(a,2),4459(a,1,2))]. 4537 T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). [para(4446(a,1),4460(a,1,2)),flip(a)]. 4538 T(x,y) / (x * y) = x / (y * x). [para(4476(a,1),70(a,1,2))]. 4540 (x * (y / x)) / x = y / (y / (y / x)). [para(4522(a,1),167(a,1,1,2))]. 4541 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(4522(a,1),682(a,1,1))]. 4542 x / T(y,(1 / y) * x) = y \ x. [para(4532(a,2),199(a,1,2))]. 4543 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(255,a,163,a,b,4538,a)]. 4544 T(x,x \ y) / y = x / ((x \ y) * x). [para(19(a,1),4538(a,1,2))]. 4545 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(70(a,1),4542(a,1,2,2,1))]. 4546 T(L(x,y,x) * y,x) = y * x. [hyper(172,a,4510,a,b,xx)]. 4547 x * T(y,x * y) = L(y,x,y) * x. [hyper(23,a,885,a,b,4510,a),flip(a)]. 4548 T(x,L(x,y,x) * y) = T(x,y * x). [para(4546(a,1),4446(a,1,2)),flip(a)]. 4549 T((x * y) / x,L(x,y,x)) = y. [hyper(1848,a,4511,a)]. 4550 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(80,a,4511,a,b,xx)]. 4551 (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. [para(4511(a,2),865(a,1))]. 4552 T(x,L(y,x,y)) = T(x,y). [para(4549(a,1),202(a,1,1)),flip(a)]. 4553 T(x,T(y,y * x)) = T(x,y). [hyper(255,a,4467,a,b,4552,a(flip)),flip(a)]. 4554 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(4552(a,1),127(a,1,2))]. 4556 T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). [para(4553(a,1),183(a,1,2,1))]. 4557 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(4553(a,1),184(a,1,2,1))]. 4560 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(255,a,128,a(flip),b,4525,a)]. 4561 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(611,a,4543,a)]. 4562 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R((T(x,y) / (x * y)) \ 1,z,u). [para(4543(a,1),1878(a,1,1)),flip(a)]. 4563 T(x,y * x) = T(x,x * y). [hyper(22,a,547,a,b,4547,a)]. 4564 T(x,(x \ y) * x) = T(x,y). [hyper(22,a,559,a(flip),b,4547,a)]. 4565 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(255,a,47,a,b,4563,a(flip)),flip(a)]. 4566 T(x,x * (1 / y)) = T(x,y \ x). [hyper(255,a,4149,a(flip),b,4563,a(flip))]. 4567 T(x,x * (y / x)) = T(x,y). [para(21(a,1),4563(a,1,2)),flip(a)]. 4568 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4563(a,1),43(a,1,1))]. 4569 T(T(x,y * x),z) = T(T(x,z),x * y). [para(4563(a,2),43(a,1,1))]. 4570 T(T(x,y),(x \ z) * x) = T(T(x,z),y). [para(4564(a,1),43(a,1,1)),flip(a)]. 4571 ((x \ y) * x) * T(x,y) != z | x * ((x \ y) * x) = z. [para(4564(a,1),225(a,1,2))]. 4572 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(4564(a,1),4452(a,1,1,2))]. 4573 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4567(a,1),4477(a,1,1))]. 4574 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(255,a,4563,a(flip),b,4548,a)]. 4575 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(559(a,1),4548(a,1,2))]. 4577 R(T(T(x,y),z),x \ y,x) = T((x \ y) \ y,z). [para(4560(a,1),47(a,2,1))]. 4578 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4574(a,1),1356(a,1,1))]. 4579 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(70(a,1),4438(a,1,1,1,2)),flip(a)]. 4580 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(255,a,4380,a(flip),b,4440,a(flip)),flip(a)]. 4581 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(22,a,1130,a,b,4443,a)]. 4582 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(255,a,4389,a,b,4444,a),flip(a)]. 4583 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(255,a,4459,a(flip),b,4478,a)]. 4584 T(x,y) * T(T(y,x),x) = y * x. [para(4583(a,1),19(a,1,2))]. 4585 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(45(a,2),4583(a,1,1))]. 4587 (x \ y) * T(y,y \ (x \ y)) = (x \ T(y,x \ 1)) * y. [para(4178(a,2),4501(a,1,1)),flip(a)]. 4589 T(x,x \ T(x * y,y)) = T(x,y). [para(4508(a,1),4140(a,1,2)),flip(a)]. 4590 K(x,x \ T(x * y,y)) = K(x,y). [para(4508(a,1),4242(a,1,2)),flip(a)]. 4591 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(255,a,4213,a,b,4590,a(flip))]. 4592 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(255,a,1367,a,b,4523,a(flip)),flip(a)]. 4593 T(x / (x / y),x) = L(y,y \ x,y). [para(4524(a,1),621(a,1,1))]. 4594 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(4593(a,2),45(a,2,1)),flip(a)]. 4595 L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). [para(70(a,1),4593(a,1,1,2)),flip(a)]. 4596 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(4593(a,2),418(a,1,2))]. 4597 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(4540(a,1),808(a,1,1))]. 4598 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(4409(a,1),4544(a,1,1))]. 4599 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [para(4545(a,1),73(a,1,1)),flip(a)]. 4600 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(4554(a,1),25(a,1)),flip(a)]. 4601 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(129(a,1),4561(a,1,3)),flip(a)]. 4602 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(255,a,43,a,b,4568,a(flip))]. 4603 K(x \ y,x) \ x = x * K(x,y / x). [hyper(4166,a,4579,a),flip(a)]. 4604 ((x \ y) * x) * (y / x) = y * (x \ y). [para(4592(a,1),21(a,1,1))]. 4605 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3685,a,4603,a)]. 4606 K(x,(x * y) / x) = K(y,x) \ 1. [para(18(a,1),4605(a,1,1,1)),flip(a)]. 4607 K(T(x,y),y) \ 1 = K(y,x). [para(167(a,1),4606(a,1,2)),flip(a)]. 4609 K(T(x,y),y) * K(y,x) = 1. [para(4607(a,1),19(a,1,2))]. 4610 R(x,K(x,y),z) = x. [para(4607(a,1),4362(a,1,2))]. 4611 R(T(x,y),K(x,z),u) = T(x,y). [para(4610(a,1),47(a,2,1))]. 4612 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4610(a,1),460(a,1,1,1)),flip(a)]. 4614 K(T(x,y),y) * z != 1 | K(y,x) = z. [para(4609(a,1),24(a,1)),flip(a)]. 4615 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4609(a,1),222(a,1,2)),flip(b)]. 4616 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4611(a,1),461(a,1,1,1)),flip(a)]. 4617 (x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y). [para(73(a,1),4604(a,1,1,1))]. 4618 R(x,y,T(x,y)) = R(x,y,x). [hyper(23,a,462,a,b,4475,a),flip(a)]. 4620 x \ T(y * x,y) = R(y,x,y). [hyper(255,a,986,a,b,4618,a(flip)),flip(a)]. 4621 x * R(y,x,y) = T(y * x,y). [para(4618(a,1),987(a,1,2))]. 4622 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4618(a,1),1961(a,1,2)),flip(a)]. 4623 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(4446(a,1),4618(a,1,3))]. 4624 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(19(a,1),4620(a,1,2,1)),flip(a)]. 4625 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4620(a,1),114(a,1,1)),flip(a)]. 4626 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4621(a,1),222(a,1,2)),flip(b)]. 4627 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4621(a,1),3735(a,2,1))]. 4628 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4621(a,1),4591(a,2,1))]. 4629 K(x \ T(x * y,x),x) = K(y,x). [hyper(255,a,1695,a(flip),b,4628,a),flip(a)]. 4630 K(x \ T(y,x),x) = K(x \ y,x). [para(19(a,1),4629(a,1,1,2,1))]. 4631 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(166(a,1),4630(a,1,1,2)),flip(a)]. 4632 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(4526(a,2),4631(a,1,1))]. 4633 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4632(a,1),4279(a,1,2)),flip(a)]. 4634 T(x,y) * T(T(y,z),x) = T(y,z) * T(x,y). [para(43(a,1),4465(a,1,2))]. 4635 T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4446(a,1),4491(a,1,2,1))]. 4636 (x \ T(x,x \ y)) \ y = (x \ y) * x. [hyper(255,a,127,a(flip),b,4530,a)]. 4637 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(128(a,1),4636(a,1,1,2))]. 4638 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(4637(a,1),70(a,1,2))]. 4639 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(255,a,4391,a,b,4638,a),flip(a)]. 4640 T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). [hyper(255,a,4460,a(flip),b,4537,a)]. 4641 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(255,a,4564,a(flip),b,4575,a)]. 4642 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4641(a,1),1355(a,1,1))]. 4643 x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. [hyper(255,a,1557,a(flip),b,4581,a),flip(a)]. 4644 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(255,a,1604,a,b,4582,a(flip)),flip(a)]. 4647 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(4601(a,1),354(a,1,1))]. 4648 T(x,(y \ x) * y) = x. [hyper(4250,a,4633,a)]. 4649 T((x \ y) * x,y) = (x \ y) * x. [hyper(40,a,4648,a)]. 4650 T(x * (y / x),y) = x * (y / x). [para(75(a,1),4648(a,1,2))]. 4651 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4650(a,2),4639(a,1,1))]. 4652 L(T(x,y),T(z,x),z / T(z,x)) * z = (z / T(z,x)) * (T(x,y) * T(z,x)). [para(4634(a,1),676(a,1,2)),flip(a)]. 4653 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(4243(a,1),4651(a,1,1,1)),flip(a)]. 4654 R(T(T(x,y),(x \ z) * x),x \ z,x) = T((x \ z) \ z,y). [para(4570(a,2),4577(a,1,1))]. 4656 ((x \ y) / y) * (x * (y / x)) = y / x. [para(4647(a,1),713(a,1,2))]. 4657 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(255,a,4111,a(flip),b,4429,a)]. 4658 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(255,a,4446,a(flip),b,4657,a(flip))]. 4659 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(255,a,4446,a(flip),b,4658,a(flip))]. 4660 T(x,y / (z * y)) = T(x,z \ 1). [para(18(a,1),4659(a,1,2,1))]. 4661 T(x,(y / z) \ 1) = T(x,z / y). [para(73(a,1),4659(a,1,2,1)),flip(a)]. 4665 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4661(a,1),4274(a,1,1,2))]. 4666 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(542(a,1),4468(a,1,2))]. 4667 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(255,a,4554,a(flip),b,4666,a)]. 4669 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4563(a,2),4667(a,1,2))]. 4670 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(255,a,561,a,b,4669,a(flip)),flip(a)]. 4672 L(x,T(y,x),x) = L(x,y,x). [hyper(4600,a,4670,a),flip(a)]. 4673 (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(4469(a,1),176(a,1,1,2))]. 4674 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4451(a,1),4469(a,1,2)),flip(a)]. 4675 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4496(a,1),4469(a,1,2)),flip(a)]. 4676 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4525(a,1),4469(a,1,2)),flip(a)]. 4678 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4454(a,1),4527(a,1,2,2,1))]. 4679 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4678(a,1),19(a,1,2)),flip(a)]. 4680 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(4237,a,4679,a)]. 4681 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(255,a,4255,a,b,4680,a(flip)),flip(a)]. 4682 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(255,a,3702,a(flip),b,4681,a)]. 4683 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(255,a,3723,a,b,4682,a(flip)),flip(a)]. 4684 K((1 / x) * y,x) = K(x \ y,x). [para(18(a,1),4683(a,1,1,2)),flip(a)]. 4685 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(37(a,2),4684(a,2,1))]. 4686 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(70(a,1),4684(a,1,1,1)),flip(a)]. 4687 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(856(a,1),4685(a,1,1))]. 4688 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(255,a,3724,a(flip),b,4687,a(flip)),flip(a)]. 4689 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4688(a,1),4607(a,1,1))]. 4690 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4615,a,4689,a),flip(a)]. 4691 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [hyper(255,a,3550,a(flip),b,4690,a(flip))]. 4692 K(x,x \ ((x \ 1) \ y)) = K(x,y). [para(19(a,1),4690(a,1,2)),flip(a)]. 4694 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(23,a,1676,a(flip),b,4572,a)]. 4695 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [para(4694(a,1),21(a,1,1))]. 4697 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1684(a,1),4573(a,1,2))]. 4698 T(x,y) * (y / T(x,y)) = x * (y / x). [para(4456(a,1),4697(a,1,2))]. 4699 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4698(a,1),24(a,1)),flip(a)]. 4700 (T(x,y \ 1) / (y \ x)) \ x = (x \ (y \ x)) * x. [para(4598(a,2),73(a,1,1))]. 4701 (x * (y / x)) * (y / (y / x)) = y * x. [para(73(a,1),4617(a,2,2))]. 4702 (x * y) * ((y * x) / ((y * x) / x)) = (y * x) * x. [para(20(a,1),4701(a,1,1,2))]. 4703 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [para(3371(a,1),4700(a,1,1,1))]. 4704 (x * y) * ((y * x) / y) = (y * x) * x. [para(20(a,1),4702(a,1,2,2))]. 4705 x * (((y \ x) * y) / (y \ x)) = ((y \ x) * y) * y. [hyper(519,a,4704,a)]. 4706 ((x \ y) * x) * x = y * (y / (y / x)). [para(4524(a,1),4705(a,1,2)),flip(a)]. 4707 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(4458(a,1),4706(a,1,1,1))]. 4709 T(x,y) \ T(x * y,y) = R(y,x,y). [para(4589(a,1),4528(a,1,1))]. 4710 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(37(a,1),4709(a,1,1))]. 4711 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(255,a,4622,a(flip),b,4674,a)]. 4712 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4711(a,1),4625(a,1,2))]. 4714 R(x,y / x,x) = R(x,x \ y,x). [hyper(23,a,4675,a,b,4676,a),flip(a)]. 4715 R(x,x \ (y \ x),x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [hyper(255,a,4189,a(flip),b,4714,a(flip))]. 4716 R(x,(x * y) / x,x) = R(x,y,x). [para(18(a,1),4714(a,2,2))]. 4717 R(x,T(y,x),x) = R(x,y,x). [para(167(a,1),4716(a,1,2)),flip(a)]. 4718 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(255,a,4623,a,b,4717,a(flip)),flip(a)]. 4719 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4718(a,1),51(a,1,1)),flip(a)]. 4720 (x \ T(y,x \ 1)) * y = (x \ y) * T(y,x \ 1). [para(4409(a,1),4587(a,1,2)),flip(a)]. 4721 L(x,K(y,z),L(y,u,w)) = x. [hyper(422,a,4612,a)]. 4722 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3324(a,1),4612(a,1,1))]. 4723 L(x,K(y,z),y) = x. [para(319(a,1),4721(a,1,3))]. 4729 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(255,a,1574,a(flip),b,4643,a(flip))]. 4730 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4719(a,1),4486(a,1,1)),flip(a)]. 4731 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(255,a,627,a(flip),b,4541,a)]. 4732 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(4540(a,2),4731(a,1,2))]. 4733 ((x \ y) * x) * T((x \ y) \ y,z) = (T(x,z) * (x \ y)) * x. [para(4654(a,1),573(a,1,2))]. 4734 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(20(a,1),4665(a,1,1,2,2))]. 4735 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(255,a,3170,a(flip),b,4734,a(flip))]. 4736 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4735(a,1),4093(a,1,1))]. 4737 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(4113,a,4736,a)]. 4739 T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). [para(167(a,1),4737(a,1,3)),flip(a)]. 4740 L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). [hyper(537,a,4739,a)]. 4741 L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). [hyper(255,a,3212,a(flip),b,4740,a(flip)),flip(a)]. 4742 R(x,x \ (y \ x),x) = ((y \ x) * T(x,y \ 1)) / (y \ x). [para(4720(a,1),4715(a,2,1))]. 4743 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(4341(a,1),4363(a,2,2))]. 4744 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(3072(a,1),4364(a,1,2))]. 4745 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(255,a,3552,a(flip),b,4744,a(flip))]. 4746 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(4516(a,2),4470(a,1))]. 4747 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(255,a,4342,a(flip),b,4533,a)]. 4748 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [para(4695(a,1),4707(a,1,1))]. 4749 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [hyper(4571,a,4748,a),flip(a)]. 4750 x / (x / T(y,x)) = T(x / (x / y),x). [hyper(22,a,4596,a,b,4749,a)]. 4751 T(x / (x / y),x) \ x = x / T(y,x). [para(4750(a,1),73(a,1,1))]. 4752 x / T(y \ x,x) = T(x / y,x) \ x. [para(70(a,1),4751(a,1,1,1,2)),flip(a)]. 4753 ((x \ y) * x) * T(T(x,x \ y),z) = (T(x,z) * (x \ y)) * x. [para(128(a,2),4733(a,1,2,1))]. 4754 (x * y) * T(T(y,y \ (y * x)),z) = (T(y,z) * (y \ (y * x))) * y. [para(18(a,1),4753(a,1,1,1))]. 4755 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4735(a,1),4393(a,1,1))]. 4756 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(4394,a,4755,a),flip(a)]. 4758 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(4368,a,4755,a),flip(a)]. 4759 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [hyper(255,a,4444,a,b,4755,a)]. 4761 x \ (y * (T(y,z) \ x)) = T(T(y,z) \ y,x). [hyper(172,a,4756,a,b,19,a),flip(a)]. 4762 T(x,y) * (x \ z) = y * (T(y,x) \ z). [hyper(255,a,4444,a,b,4756,a(flip)),flip(a)]. 4763 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(255,a,4729,a(flip),b,4756,a(flip))]. 4764 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(255,a,4581,a(flip),b,4756,a(flip)),flip(a)]. 4768 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(80,a,19,a(flip),b,4758,a)]. 4769 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(255,a,4444,a,b,4758,a(flip)),flip(a)]. 4770 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(80,a,4758,a(flip),b,4389,a),flip(a)]. 4771 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4758(a,1),4443(a,1,2)),flip(a)]. 4772 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(80,a,4736,a(flip),b,4759,a(flip)),flip(a)]. 4773 K(x \ (x / (y \ (z \ y))),x) = y \ (x * (T(x,z) \ y)). [para(4762(a,1),1561(a,2,2))]. 4774 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(255,a,112,a,b,4771,a)]. 4775 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(4764(a,1),958(a,1))]. 4776 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(4126,a,4770,a),flip(a)]. 4777 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(255,a,1081,a(flip),b,4772,a)]. 4778 ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). [hyper(255,a,1603,a(flip),b,4777,a(flip)),flip(a)]. 4779 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(367,a,4774,a),flip(a)]. 4780 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(22,a,4485,a,b,4774,a(flip)),flip(a)]. 4781 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(129(a,1),4780(a,1,2))]. 4782 L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). [para(4463(a,1),4781(a,1,3))]. 4783 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(674,a,4776,a),flip(a)]. 4784 K(x \ (x / (y \ (z \ y))),x) = T(T(x,z) \ x,y). [hyper(255,a,4761,a(flip),b,4773,a)]. 4785 T(x,(y \ (z \ y)) \ 1) \ x = T(T(x,z) \ x,y). [hyper(255,a,4431,a(flip),b,4784,a(flip)),flip(a)]. 4786 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4771(a,1),4482(a,1,1))]. 4787 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(636,a,4786,a),flip(a)]. 4788 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4786(a,1),636(a,1))]. 4789 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(255,a,461,a(flip),b,4730,a)]. 4790 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1318(a,1),4789(a,1,1))]. 4791 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(255,a,4622,a(flip),b,4790,a(flip))]. 4792 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(4791(a,1),222(a,1,2))]. 4793 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4640(a,1),4635(a,1,1))]. 4794 T(x,T(y,T(x,z))) = T(x,y). [hyper(255,a,4491,a(flip),b,4793,a(flip))]. 4797 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(188(a,1),4794(a,1,2,2))]. 4800 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(4797(a,1),4594(a,1,1))]. 4801 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4747(a,1),4653(a,1,2)),flip(a)]. 4802 ((x \ y) * x) / y = y / (x * (y / x)). [para(4649(a,1),4801(a,1,1))]. 4803 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(255,a,4580,a(flip),b,4802,a)]. 4804 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(255,a,4319,a,b,4803,a(flip)),flip(a)]. 4805 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4804(a,1),4293(a,2,2))]. 4806 L(x,T(y,y \ z) \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). [hyper(255,a,3214,a,b,4741,a(flip))]. 4807 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3359(a,1),4745(a,1,1)),flip(a)]. 4808 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4807(a,1),3537(a,1,2))]. 4809 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4808(a,1),260(a,1,1)),flip(a)]. 4810 (T(x,y) * (x \ (x * z))) * x = (z * x) * T(T(x,z),y). [para(18(a,1),4754(a,1,2,1,2)),flip(a)]. 4811 (x * y) * T(T(y,x),z) = (T(y,z) * x) * y. [para(18(a,1),4810(a,1,1,2)),flip(a)]. 4812 (x * y) * T(T(y,z),x) = (T(y,z) * x) * y. [para(43(a,1),4811(a,1,2))]. 4813 L(K(x,y) \ T(T(x,y),z),K(x,y),y * x) = (x * y) \ ((T(x,z) * y) * x). [para(4811(a,1),444(a,2,2))]. 4814 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(868,a,4812,a)]. 4815 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(255,a,4768,a(flip),b,4434,a(flip)),flip(a)]. 4816 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(4792,a,4712,a)]. 4817 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(255,a,4743,a(flip),b,4815,a(flip)),flip(a)]. 4818 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4769(a,1),4817(a,1,2)),flip(a)]. 4819 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(255,a,190,a(flip),b,4818,a)]. 4821 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(255,a,3975,a(flip),b,4819,a(flip))]. 4823 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4821(a,1),3730(a,2,2))]. 4824 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(73(a,1),4732(a,2,1,2))]. 4825 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(1188,a,4627,a),flip(a)]. 4826 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2270(a,1),4825(a,1,1)),flip(a)]. 4827 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(81,a,4826,a(flip),b,1182,a)]. 4829 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(2694(a,1),4827(a,1,1))]. 4832 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(255,a,4809,a(flip),b,4823,a)]. 4833 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(4281,a,4832,a)]. 4835 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(255,a,97,a(flip),b,4833,a)]. 4837 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4835(a,1),3209(a,1,2))]. 4838 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4837(a,1),4295(a,1,2)),flip(a)]. 4840 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(255,a,2913,a(flip),b,4838,a)]. 4844 R(x,K(y \ 1,y),z) = x. [para(19(a,1),4840(a,1,3))]. 4847 R(x,y,K(z \ 1,z)) = x. [hyper(255,a,4046,a(flip),b,4844,a(flip)),flip(a)]. 4848 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4844(a,1),122(a,1,1)),flip(a)]. 4849 R(x,K(y,y \ 1),z) = x. [para(1449(a,1),4844(a,1,2))]. 4854 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [hyper(255,a,4028,a(flip),b,4847,a(flip))]. 4855 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(255,a,3999,a(flip),b,4847,a(flip)),flip(a)]. 4856 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(255,a,3949,a(flip),b,4847,a(flip))]. 4857 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(255,a,3013,a(flip),b,4847,a(flip))]. 4858 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(255,a,2933,a(flip),b,4847,a(flip))]. 4860 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4847(a,1),122(a,1,1)),flip(a)]. 4861 (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). [para(4847(a,1),379(a,1,1)),flip(a)]. 4862 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4847(a,1),451(a,1,1))]. 4864 R(x,y,K(z,z \ 1)) = x. [para(1449(a,1),4847(a,1,3))]. 4866 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4847(a,1),2284(a,1,1))]. 4867 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [para(4849(a,1),122(a,1,1)),flip(a)]. 4874 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(255,a,3932,a(flip),b,4864,a(flip))]. 4875 K(x,x \ 1) / (K(x,x \ 1) * y) = 1 / y. [hyper(255,a,2274,a(flip),b,4864,a(flip)),flip(a)]. 4876 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4864(a,1),122(a,1,1)),flip(a)]. 4877 (x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1). [para(4864(a,1),379(a,1,1)),flip(a)]. 4878 x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1). [para(4864(a,1),451(a,1,1))]. 4879 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4864(a,1),2275(a,1,1))]. 4882 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(2511(a,1),4856(a,1,2))]. 4886 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(3077(a,1),4856(a,1,2))]. 4887 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(3092(a,1),4856(a,1,2))]. 4888 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(3098(a,1),4856(a,1,2)),flip(a)]. 4889 T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). [para(3205(a,1),4856(a,1,2)),flip(a)]. 4891 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4857(a,1),122(a,1,1))]. 4894 T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). [hyper(255,a,3863,a(flip),b,4874,a)]. 4896 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2272(a,1),4874(a,1,2))]. 4897 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(3028(a,1),4874(a,1,2))]. 4899 T(x,y * (z * K(u,u \ 1))) = T(x,y * z). [para(3888(a,1),4874(a,1,2))]. 4901 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4854(a,1),4763(a,1,2,1))]. 4902 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(255,a,629,a(flip),b,4886,a(flip))]. 4903 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(3435(a,2),4886(a,1,2,1))]. 4905 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(3174(a,1),4888(a,2,2))]. 4906 K((x \ 1) * y,x \ y) = 1. [hyper(41,a,4902,a)]. 4907 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(2271,a,4861,a)]. 4910 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. [para(2924(a,1),4875(a,1,2)),flip(a)]. 4911 (x \ K(y,y \ 1)) * y = (x \ 1) * ((y \ 1) \ 1). [para(4877(a,1),2900(a,1,1))]. 4912 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(2910(a,1),4899(a,1,2,2))]. 4913 T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). [para(4910(a,1),3863(a,1,2,1)),flip(a)]. 4915 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(255,a,3958,a(flip),b,4848,a(flip)),flip(a)]. 4930 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2263(a,2),4855(a,1,2))]. 4932 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(2871(a,1),4858(a,2,2))]. 4933 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(2697,a,4860,a)]. 4934 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2271,a,4860,a)]. 4935 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(422,a,4860,a)]. 4938 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4860(a,1),3958(a,1,1))]. 4939 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4860(a,1),3992(a,1,1))]. 4940 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(255,a,1430,a,b,4933,a(flip)),flip(a)]. 4945 L(K(x \ y,y \ x),z,u) = K((y \ x) \ 1,y \ x). [para(2789(a,1),4935(a,1,1))]. 4950 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(255,a,3933,a,b,4862,a(flip)),flip(a)]. 4951 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(691(a,1),4862(a,1,2)),flip(a)]. 4952 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(4016(a,1),4951(a,1,2))]. 4953 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4951(a,1),4856(a,1,2)),flip(a)]. 4954 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(255,a,2263,a,b,4866,a)]. 4955 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [hyper(255,a,3925,a(flip),b,4867,a(flip)),flip(a)]. 4958 K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). [hyper(3889,a,4876,a)]. 4960 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(422,a,4876,a)]. 4964 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(80,a,4958,a(flip),b,1448,a(flip))]. 4966 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(80,a,4964,a(flip),b,1463,a(flip)),flip(a)]. 4967 (K(x \ 1,x) * y) \ z = (y \ z) * K(x,x \ 1). [hyper(255,a,4006,a,b,4878,a(flip)),flip(a)]. 4969 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(255,a,2247,a,b,4879,a)]. 4970 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2938,a,4915,a)]. 4973 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(K(z \ 1,z) * u,y,x). [para(4915(a,2),33(a,2,2,2)),flip(a)]. 4978 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4915(a,1),4866(a,1,2))]. 4979 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u * K(z \ 1,z),y,x). [para(4934(a,2),33(a,2,2,2)),flip(a)]. 4981 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(255,a,2263,a,b,4950,a)]. 4982 T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). [para(4950(a,2),4856(a,1,2))]. 4983 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(2936(a,1),4982(a,1,2,1))]. 4985 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [hyper(255,a,4004,a(flip),b,4954,a(flip))]. 4987 (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(4955(a,2),29(a,2,2,1)),flip(a)]. 4990 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2936(a,1),4955(a,2,2))]. 4991 K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). [para(2937(a,1),4955(a,2,2))]. 4993 x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). [para(4955(a,1),4879(a,1,2))]. 4994 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(4955(a,1),4950(a,1,1))]. 4995 (K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z). [hyper(255,a,2247,a,b,4967,a)]. 4997 x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. [para(4969(a,2),2253(a,1))]. 5000 K(x \ 1,x) * ((y * x) \ z) = (y * ((x \ 1) \ 1)) \ z. [para(2898(a,1),4981(a,1,1)),flip(a)]. 5001 K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. [para(4052(a,1),4981(a,1,1)),flip(a)]. 5002 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [para(3050(a,1),4995(a,1,1)),flip(a)]. 5003 K((x \ y) \ 1,x \ y) != z | K(y \ x,x \ y) = z. [para(4945(a,1),323(a,1)),flip(b)]. 5004 L(K(x \ y,y \ x),z,u) != w | K(x \ y,y \ x) = w. [para(4945(a,2),5003(a,1))]. 5005 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(4775,a,4901,a)]. 5006 T(x * (y / x),z) = x * (T(y,z) / x). [para(5005(a,1),19(a,1,2)),flip(a)]. 5007 T(x * y,z) / y = y \ T(y * x,z). [para(20(a,1),5005(a,1,2,1,2)),flip(a)]. 5008 (x \ T(x * (y / x),z)) * x = T(y,z). [para(5005(a,2),21(a,1,1))]. 5009 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(70(a,1),5005(a,1,2,1,2))]. 5011 T((x \ y) * x,z) / x = x \ T(y,z). [para(69(a,1),5005(a,1,2,1)),flip(a)]. 5012 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [para(5005(a,1),170(a,1,2,2))]. 5016 x * (T(y * x,z) / x) = T(x * y,z). [para(20(a,1),5006(a,1,1,2)),flip(a)]. 5021 T(x * (y / x),K(y,z)) = x * (y / x). [para(3316(a,1),5006(a,2,2,1))]. 5022 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(4463(a,1),5006(a,2,2,1))]. 5024 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(255,a,848,a,b,5007,a),flip(a)]. 5025 (x \ T(x * y,z)) * x = T(y * x,z). [para(5007(a,1),21(a,1,1))]. 5026 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(5007(a,1),129(a,1,1))]. 5027 T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,z). [para(104(a,1),5007(a,2,2,1))]. 5028 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(5007(a,1),4249(a,1,2))]. 5029 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). [hyper(255,a,2945,a,b,5008,a(flip)),flip(a)]. 5030 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(69(a,1),5008(a,1,1,2,1)),flip(a)]. 5037 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(5016(a,1),4567(a,1,2)),flip(a)]. 5039 T(K(x,y),z * (x / z)) = K(x,y). [hyper(40,a,5021,a)]. 5040 T(K(x * y,z),y * x) = K(x * y,z). [para(20(a,1),5039(a,1,2,2))]. 5046 T(x,y) \ T((z \ x) * z,y) = K(z \ T(x,y),z). [hyper(80,a,5030,a,b,263,a)]. 5047 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(5030(a,2),25(a,1))]. 5048 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(5030(a,1),127(a,1,2))]. 5050 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(129(a,1),5030(a,2,1,2))]. 5052 ((x * T((y \ z) * y,x)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(5030(a,2),4329(a,1,1,1,2))]. 5053 K(x * y,z) * (y * x) = (y * x) * K(x * y,z). [para(5040(a,1),127(a,1,2)),flip(a)]. 5055 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(129(a,1),5012(a,1,2,2,1)),flip(a)]. 5057 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(129(a,1),5048(a,1,2,1,2)),flip(a)]. 5059 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(5050(a,1),167(a,1,1,2))]. 5060 (x \ y) \ T((x \ y) * x,x) = (y * x) / y. [hyper(255,a,1116,a(flip),b,5009,a)]. 5061 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(255,a,5006,a,b,5022,a)]. 5062 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1780(a,1),5024(a,2,1,1))]. 5063 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(2938,a,5029,a),flip(a)]. 5064 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [hyper(2931,a,5029,a),flip(a)]. 5067 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(255,a,4330,a(flip),b,5055,a(flip))]. 5068 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(162(a,2),5055(a,2,2,2,1))]. 5069 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(255,a,4065,a,b,5057,a(flip)),flip(a)]. 5070 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(163(a,2),5057(a,1,1,1,2))]. 5071 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(18(a,1),5059(a,1,1,2,1,2))]. 5072 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(5059(a,1),226(a,1,1)),flip(b)]. 5073 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(255,a,4661,a,b,5061,a(flip)),flip(a)]. 5075 T(x * K(y,y \ 1),z) = K(y,y \ 1) * T(x,z). [para(2247(a,1),5063(a,1,1))]. 5078 T(((x \ 1) \ 1) \ y,z) * K(x,x \ 1) = T(x \ y,z). [para(3036(a,1),5064(a,1,1)),flip(a)]. 5079 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(4551,a,5071,a),flip(a)]. 5080 (x \ ((y * (x * z)) / y)) * x = (y * (z * x)) / y. [para(18(a,1),5071(a,1,1,2,1)),flip(a)]. 5081 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * ((z * (((x * z) / x) \ y)) / z). [hyper(255,a,2736,a,b,5080,a)]. 5082 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(3347(a,1),4905(a,1,2))]. 5083 (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). [para(1454(a,1),4932(a,1,1)),flip(a)]. 5085 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4940(a,1),19(a,1,2))]. 5086 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(255,a,1400,a,b,5028,a(flip)),flip(a)]. 5087 T(x,T(((y \ 1) \ 1) \ z,u)) = T(x,T(y \ z,u)). [para(5078(a,1),4874(a,1,2)),flip(a)]. 5088 T(x,T((1 / y) \ z,u)) = T(x,T((y \ 1) \ z,u)). [para(73(a,1),5087(a,1,2,1,1,1)),flip(a)]. 5089 (L(x,y,z) \ 1) * T(x,x \ 1) = L(x,y,z) \ x. [hyper(2880,a,5085,a)]. 5090 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(5085(a,1),2831(a,1,1))]. 5091 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4891(a,1),25(a,1))]. 5094 T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). [para(4054(a,2),4894(a,1,2))]. 5095 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(81,a,4938,a(flip),b,122,a)]. 5096 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(4014,a,4939,a),flip(a)]. 5097 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(23,a,3092,a,b,4952,a)]. 5098 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(255,a,3811,a(flip),b,5097,a)]. 5099 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(33(a,2),4978(a,2,1))]. 5100 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). [hyper(636,a,4993,a),flip(a)]. 5101 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(5072,a,5086,a)]. 5103 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). [para(3937(a,1),5094(a,1,2,1))]. 5104 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(255,a,4979,a(flip),b,5099,a(flip)),flip(a)]. 5105 L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). [hyper(255,a,4973,a(flip),b,5099,a(flip)),flip(a)]. 5108 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [hyper(255,a,2263,a,b,5105,a)]. 5110 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(2913(a,1),5108(a,1,1)),flip(a)]. 5111 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(2938,a,5110,a),flip(a)]. 5112 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(2931,a,5110,a),flip(a)]. 5113 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(255,a,2992,a(flip),b,5110,a(flip)),flip(a)]. 5115 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(20(a,1),5113(a,1,1,2,1,2))]. 5116 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(5113(a,1),69(a,1,2,1)),flip(a)]. 5117 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(69(a,1),5113(a,1,1,2,1)),flip(a)]. 5118 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(5117(a,1),112(a,1,2))]. 5119 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(437(a,1),5117(a,2,1,2))]. 5120 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(439(a,1),5117(a,2,1,2))]. 5122 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(1522(a,1),5111(a,1,1)),flip(a)]. 5123 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [para(5111(a,2),4879(a,1,2))]. 5124 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(255,a,1543,a(flip),b,5122,a(flip)),flip(a)]. 5125 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(128(a,1),5124(a,2,1))]. 5127 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(87,a,5125,a)]. 5129 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(255,a,1279,a,b,5127,a(flip)),flip(a)]. 5131 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2476,a,5129,a)]. 5132 L(x,y,z) / x = x \ L(x,y,z). [hyper(96,a,5131,a)]. 5133 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(87,a,5131,a)]. 5134 (1 / x) * L(x,y,z) = x \ L(x,y,z). [hyper(255,a,1040,a,b,5132,a(flip)),flip(a)]. 5137 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(5133(a,1),398(a,1,2,1)),flip(a)]. 5138 T(1 / x,L(x,y,z)) = x \ 1. [hyper(172,a,5134,a,b,1153,a)]. 5139 K(x,T(y \ 1,L(y,z,u))) = K(x,y \ 1). [para(5138(a,1),3710(a,1,2)),flip(a)]. 5140 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1457(a,1),5112(a,1,1)),flip(a)]. 5141 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(5140(a,1),3973(a,1,1)),flip(a)]. 5142 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(5140(a,1),3980(a,1,1))]. 5143 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [hyper(80,a,5137,a(flip),b,1078,a)]. 5144 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(255,a,1438,a(flip),b,5141,a(flip)),flip(a)]. 5145 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(241(a,1),5118(a,1,2,1,2))]. 5146 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(80,a,5119,a(flip),b,190,a),flip(a)]. 5147 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(255,a,5101,a(flip),b,5146,a(flip)),flip(a)]. 5149 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(5147(a,1),226(a,1,1)),flip(b)]. 5151 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(255,a,4805,a(flip),b,5120,a(flip))]. 5152 x * (y \ (x / (x / y))) = (y \ (1 \ x)) * y. [para(17(a,1),5151(a,1,1,2,2)),flip(a)]. 5153 x * (y \ (x / (x / y))) = (y \ x) * y. [para(59(a,1),5152(a,2,1,2))]. 5154 x \ (y / (y / x)) = K(x \ y,x). [hyper(22,a,263,a,b,5153,a)]. 5155 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(255,a,4804,a,b,5154,a(flip)),flip(a)]. 5156 x / (y * (x / y)) = K(y \ x,y). [hyper(255,a,4580,a,b,5154,a(flip)),flip(a)]. 5158 x / (x / y) = y * K(y \ x,y). [para(5154(a,1),19(a,1,2)),flip(a)]. 5161 T(K(x \ y,x),y) = K(x \ y,x). [para(5154(a,1),4386(a,1,1))]. 5162 K(x \ y,x) * (x * (y / x)) = y. [para(5156(a,1),21(a,1,1))]. 5164 x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). [hyper(255,a,3174,a(flip),b,5158,a),flip(a)]. 5165 (x * y) / ((x * y) / x) = x * K(y,x). [para(18(a,1),5158(a,2,2,1))]. 5169 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(5158(a,1),4593(a,1,1))]. 5170 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(4630(a,1),5158(a,2,2))]. 5171 T(x,K(y \ x,y)) = x. [hyper(40,a,5161,a)]. 5172 T(x * y,K(y,x)) = x * y. [para(18(a,1),5171(a,1,2,1))]. 5173 K(x,y) \ (x * y) = y * x. [hyper(255,a,270,a,b,5172,a(flip)),flip(a)]. 5174 K(x,y) = (x * y) / (y * x). [para(5172(a,1),271(a,1,2)),flip(a)]. 5175 K(x,y) * (y * x) = x * y. [para(5173(a,1),19(a,1,2))]. 5176 x * (y * z) != z * y | K(z,y) = x. [para(5173(a,1),94(a,1,2)),flip(b)]. 5177 K(x,y) = T(y,x) \ y. [hyper(255,a,4379,a(flip),b,5174,a)]. 5178 K(x \ y,x) * y = (x \ y) * x. [para(5174(a,2),260(a,1,1))]. 5179 K(x \ (x / y),x) = K(y \ 1,x). [hyper(255,a,4431,a,b,5177,a),flip(a)]. 5180 K(x,y) = ((y * x) / y) \ x. [hyper(255,a,4085,a,b,5177,a)]. 5181 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(255,a,3290,a,b,5177,a),flip(a)]. 5182 K(x,y) = y / T(y,x). [hyper(255,a,3128,a,b,5177,a)]. 5183 K(x,y) = (1 / T(y,x)) * y. [hyper(255,a,3127,a,b,5177,a)]. 5184 K(x,y) = y * (T(y,x) \ 1). [hyper(255,a,1083,a,b,5177,a)]. 5185 T(T(x,y) \ x,z) = K((z \ (y \ z)) \ 1,x). [hyper(255,a,4785,a(flip),b,5177,a),flip(a)]. 5186 K(x,y) = x \ T(x,y). [hyper(255,a,4439,a(flip),b,5177,a)]. 5187 x * T(x \ 1,y) = K(x \ 1,y). [hyper(255,a,4430,a(flip),b,5177,a),flip(a)]. 5188 K(T(x,y),y) = x \ T(x,y). [hyper(255,a,4087,a(flip),b,5177,a)]. 5189 x \ (T(1 / x,y) \ 1) = K(y,x \ 1). [hyper(255,a,3390,a(flip),b,5177,a),flip(a)]. 5190 K(x,y) / y = 1 / T(y,x). [hyper(81,a,5177,a,b,3127,a)]. 5191 K(x,y) / ((y \ 1) \ 1) = T(y,x) \ 1. [hyper(81,a,5177,a,b,2297,a)]. 5192 T(x,y) \ 1 = x \ K(y,x). [hyper(80,a,5177,a,b,1083,a),flip(a)]. 5194 T(x,y) * K(y,x) = x. [para(5177(a,2),19(a,1,2))]. 5195 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(45(a,2),5177(a,2,1)),flip(a)]. 5196 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(47(a,2),5177(a,2,1)),flip(a)]. 5197 T(x,y) = x / K(y,x). [para(5177(a,2),70(a,1,2)),flip(a)]. 5199 x * K(y,z) != z | T(z,y) = x. [para(5177(a,2),94(a,1,2)),flip(b)]. 5201 x / K(y,x) != z | T(x,y) = z. [para(5177(a,2),303(a,1,2)),flip(b)]. 5202 L(K(x,y),T(y,x),z) = (z * T(y,x)) \ (z * y). [para(5177(a,2),114(a,1,1))]. 5203 ((x \ y) \ y) * K(x \ y,x) = x. [para(5177(a,2),312(a,1,2))]. 5204 T(x,y) = (x * K(y,x)) \ (x * x). [para(5177(a,2),1587(a,1,1,2)),flip(a)]. 5205 K((1 / x) \ y,y) = T(y,y * x) \ y. [para(1991(a,1),5177(a,2,1))]. 5206 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(5177(a,2),2704(a,1,2))]. 5207 K(x,y) * T(y,x) = y. [para(5177(a,2),3133(a,1,1))]. 5208 T(x,y) = K(y,x) \ x. [para(5177(a,2),3134(a,1,1)),flip(a)]. 5209 K(x,y) * (y \ 1) = T(y,x) \ 1. [para(5177(a,2),3394(a,1,1))]. 5210 K(x \ K(x,y),x) = K(x \ 1,x). [para(5177(a,2),3669(a,1,1,2))]. 5211 K(x,y) * ((y * x) / y) = x. [para(5177(a,2),4086(a,1,1))]. 5212 x * K(T(x,y),y) = T(x,y). [para(5177(a,2),4088(a,1,2))]. 5213 ((x * y) / x) \ x = y \ (x * K(y,x)). [para(5177(a,2),4239(a,1,2,2)),flip(a)]. 5214 x * (((y * x) / y) \ z) = K(x,y) * z. [para(5177(a,2),4389(a,2,1))]. 5215 K(x,y) = T(y,T(x,y)) \ y. [para(4446(a,2),5177(a,2,1))]. 5216 T(x * K(y,x),y) = x. [para(5177(a,2),4473(a,1,1,2))]. 5217 (x * y) / x = y * K(x,y). [para(5177(a,2),4442(a,2,2))]. 5219 K(x * (1 / y),x) = T(x,y \ x) \ x. [para(4566(a,1),5177(a,2,1))]. 5220 x * (K(x,y) * z) = T(x,y) * z. [para(5177(a,2),4443(a,1,2,1))]. 5221 T(x,y) * (x \ z) = K(x,y) * z. [para(5177(a,2),4444(a,2,1))]. 5222 K(x / y,z) * x = y * T(y \ x,z). [para(5177(a,2),4581(a,1,1))]. 5223 K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z). [para(5177(a,2),4436(a,1,1)),flip(a)]. 5224 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(5177(a,2),4437(a,1,2)),flip(a)]. 5225 x * (T(x,y) \ z) = K(y,x) * z. [para(5177(a,2),4756(a,1,1)),flip(a)]. 5226 K(x,y) * (T(y,x) * z) = y * z. [para(5177(a,2),4758(a,1,1))]. 5227 K(x,y) \ y != z | T(y,x) = z. [para(5182(a,2),219(a,1,1)),flip(b)]. 5230 (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). [para(5182(a,2),2316(a,1,2))]. 5231 L(T(x,y),T(z,x),z / T(z,x)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(5182(a,2),4652(a,2,1))]. 5232 K(x * K(y,y \ 1),z) = z / T(z,x). [para(4874(a,1),5182(a,2,2))]. 5233 (x * T(x \ y,z)) / y = K(y / x,z). [hyper(255,a,4375,a,b,5186,a),flip(a)]. 5234 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(255,a,4251,a,b,5186,a),flip(a)]. 5236 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(255,a,4083,a,b,5186,a)]. 5237 K(x,y) = ((x * y) / x) / y. [hyper(255,a,4079,a,b,5186,a)]. 5238 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(255,a,4078,a,b,5186,a),flip(a)]. 5239 K(x,y) = y \ ((x * y) / x). [hyper(255,a,4074,a,b,5186,a)]. 5240 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(255,a,3239,a,b,5186,a)]. 5241 K(x,y) = (1 / x) * T(x,y). [hyper(255,a,3238,a,b,5186,a)]. 5242 K(x,y) = T(x,y) / x. [hyper(255,a,3234,a,b,5186,a)]. 5243 K(x,y) = T(x,y) * (x \ 1). [hyper(255,a,927,a,b,5186,a)]. 5244 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [hyper(255,a,4236,a(flip),b,5186,a),flip(a)]. 5248 x \ K(y,x \ 1) = (y * (x \ 1)) / y. [hyper(80,a,5186,a,b,4078,a)]. 5249 T(x,y) \ K(x,y) = x \ 1. [hyper(80,a,5186,a,b,927,a)]. 5250 x \ T(x,y \ 1) = K(x,1 / y). [hyper(255,a,3707,a,b,5186,a(flip))]. 5252 T(x,y) = x * K(x,y). [para(5186(a,2),19(a,1,2)),flip(a)]. 5253 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(45(a,2),5186(a,2,2)),flip(a)]. 5254 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(47(a,2),5186(a,2,2)),flip(a)]. 5255 x * K(x,y) != z | T(x,y) = z. [para(5186(a,2),220(a,1,2)),flip(b)]. 5256 (x * y) \ (x * T(y,z)) = L(K(y,z),y,x). [para(5186(a,2),114(a,1,1)),flip(a)]. 5260 L(K(x,y),x,z / x) = z \ ((z / x) * T(x,y)). [para(5186(a,2),440(a,1,1))]. 5261 (x * y) * T(K(y,x),z) = x * (y * T(K(y,x),z)). [para(5186(a,2),833(a,1,2,2,1)),flip(a)]. 5262 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1990(a,1),5186(a,2,2))]. 5263 T(x,y) = K(x,y) * x. [para(5186(a,2),3236(a,1,1)),flip(a)]. 5264 K(x,y) * x != z | T(x,y) = z. [para(5186(a,2),3241(a,1,1))]. 5265 (x * K(y,x)) * y = y * x. [para(5186(a,2),4069(a,1,1,2))]. 5266 T(x,y) * K(y,T(x,y)) = x. [para(5186(a,2),4072(a,1,2))]. 5267 (x * y) / x = K(x,y) * y. [para(5186(a,2),4080(a,1,1)),flip(a)]. 5268 (x \ y) * K(x,x \ y) = y / x. [para(5186(a,2),4071(a,1,2))]. 5269 x \ T(x,y \ x) = K(x,x / y). [para(4132(a,1),5186(a,2,2)),flip(a)]. 5271 K(x,x \ y) * y = x * (y / x). [para(5186(a,2),4342(a,1,1))]. 5272 K(x,y) * (x * z) = T(x,y) * z. [para(5186(a,2),4343(a,1,1))]. 5273 x * (T(x,y) \ z) = K(x,y) \ z. [para(5186(a,2),4351(a,1,1)),flip(a)]. 5274 K(x,y) \ (T(x,y) * z) = x * z. [para(5186(a,2),4367(a,1,1))]. 5275 K(x,y) \ z != u | x * (T(x,y) \ z) = u. [para(5186(a,2),4394(a,1,1))]. 5277 (x / (x / y)) \ L(y,y \ x,y) = K(x / (x / y),x). [para(4593(a,1),5186(a,2,2)),flip(a)]. 5278 x \ T(x,y / (z * y)) = K(x,z \ 1). [para(4660(a,2),5186(a,2,2)),flip(a)]. 5279 K(x,y * K(z,z \ 1)) = x \ T(x,y). [para(4874(a,1),5186(a,2,2))]. 5281 T(x,y) \ x != z | K(y,x) = z. [para(5194(a,1),222(a,1,2)),flip(b)]. 5284 x * (y * K(x,y)) = T(x,y) * y. [para(5194(a,1),4771(a,1,2)),flip(a)]. 5286 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(3708(a,1),5197(a,2,2)),flip(a)]. 5288 K(x,y / x) * (x \ y) = y / x. [para(129(a,1),5207(a,1,2))]. 5290 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(255,a,4579,a,b,5208,a),flip(a)]. 5291 T(x,y) = 1 / (x \ K(y,x)). [hyper(255,a,3729,a,b,5208,a)]. 5292 T(x,y) = (K(y,x) / x) \ 1. [hyper(255,a,3700,a,b,5208,a)]. 5294 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(5208(a,2),2699(a,1,2,1))]. 5295 T(T(x * K(y,x),z),y) = T(x,z). [para(5216(a,1),43(a,1,1)),flip(a)]. 5296 (x * K(y,x)) \ (y * x) = y. [para(5216(a,1),168(a,1,2,2))]. 5298 T(x * K(y,x),z) * y = y * T(x,z). [para(5216(a,1),182(a,1,2,1)),flip(a)]. 5299 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(5216(a,1),205(a,1,1,2,1)),flip(a)]. 5300 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(5216(a,1),183(a,1,2,1)),flip(a)]. 5301 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(5216(a,1),184(a,1,2,1)),flip(a)]. 5302 T((x * (y * K(z,y))) / x,z) = (x * y) / x. [para(5216(a,1),404(a,1,1,2)),flip(a)]. 5304 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(5216(a,1),2210(a,1,2,1)),flip(a)]. 5305 T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). [para(5216(a,1),2230(a,1,2,2)),flip(a)]. 5307 T(x \ K(y,x \ 1),y) = x \ 1. [para(3174(a,1),5216(a,1,1))]. 5308 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(5216(a,1),3376(a,1,2)),flip(a)]. 5309 T(K(x,y \ 1) / y,x) = 1 / y. [para(3718(a,1),5216(a,1,1))]. 5311 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(5216(a,1),4462(a,1,2,1)),flip(a)]. 5312 T(1 / x,y) * x = K(x \ 1,y). [hyper(255,a,665,a(flip),b,5242,a),flip(a)]. 5316 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(5242(a,2),874(a,1))]. 5318 T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). [hyper(81,a,5252,a,b,100,a)]. 5320 T(x,T(y,T(x,z))) = x * K(x,y). [hyper(255,a,4794,a,b,5252,a(flip)),flip(a)]. 5323 T(x,y) != x * z | K(x,y) = z. [para(5252(a,2),24(a,1))]. 5325 x \ T(x,y) != z | K(x,y) = z. [para(5252(a,2),222(a,1,2)),flip(b)]. 5328 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(5252(a,2),123(a,2,1))]. 5331 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(5252(a,2),454(a,2,2))]. 5333 (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). [para(5252(a,2),1929(a,1,1)),flip(a)]. 5334 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(3309(a,1),5252(a,2,2)),flip(a)]. 5335 (K(x,y) / R(x,z,u)) * x = T(x,y) / R(x,z,u). [hyper(81,a,5263,a,b,1953,a),flip(a)]. 5336 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(255,a,45,a,b,5263,a(flip))]. 5337 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(255,a,43,a,b,5263,a(flip))]. 5340 x * (K(y,x) * y) = y * x. [para(5263(a,1),127(a,1,2))]. 5345 L(x \ y,x,K(y,z)) = (K(y,z) * x) \ T(y,z). [para(5263(a,2),114(a,2,2))]. 5349 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(5263(a,2),431(a,1,2,2))]. 5350 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(5263(a,2),635(a,1,1))]. 5351 ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). [para(5263(a,2),877(a,1,2,1))]. 5353 T(x,y) != z | x * K(x,y) = z. [para(5263(a,2),3322(a,1))]. 5354 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(112(a,1),5175(a,1,2))]. 5355 (x * y) \ (K(x,y) * ((y * x) * z)) != u | L(z,y * x,K(x,y)) = u. [para(5175(a,1),431(a,1,1))]. 5356 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5175(a,1),424(a,1,1))]. 5357 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(5175(a,1),5027(a,1,1,1))]. 5359 K(x,y) = x * (((y * x) / y) \ 1). [hyper(255,a,1146,a,b,5180,a)]. 5360 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(80,a,5180,a,b,1146,a),flip(a)]. 5362 K(x,y) / x = 1 / ((y * x) / y). [para(5180(a,2),3279(a,1,1))]. 5363 K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). [hyper(81,a,2500,a(flip),b,5183,a(flip))]. 5365 K(x \ R(x,y,z),x) = (1 / x) * x. [para(4039(a,1),5183(a,2,1,2))]. 5366 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(5184(a,2),33(a,2,2,2)),flip(a)]. 5367 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(5184(a,2),113(a,1,2,2)),flip(a)]. 5368 K(T(x,y),y) = K(x,y). [hyper(255,a,5186,a,b,5188,a)]. 5373 K(x,T(y,x)) = K(x,y). [hyper(255,a,4195,a(flip),b,5368,a(flip))]. 5374 K(x,y / x) = K(x,x \ y). [hyper(255,a,4194,a(flip),b,5368,a(flip)),flip(a)]. 5375 K(x \ (y * x),x) = K(y,x). [para(37(a,1),5368(a,1,1))]. 5376 K(x / y,y) = K(y \ x,y). [para(129(a,1),5368(a,1,1)),flip(a)]. 5377 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(128(a,1),5368(a,1,1))]. 5378 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(716(a,1),5368(a,1,1)),flip(a)]. 5379 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(707(a,1),5368(a,1,1)),flip(a)]. 5380 K(x / (x / y),y \ x) = K(y,y \ x). [para(4506(a,1),5368(a,1,1)),flip(a)]. 5381 K(x,y) \ 1 = K(y,x). [para(5368(a,1),4607(a,1,1))]. 5382 K(x,y) * K(y,x) = 1. [para(5368(a,1),4609(a,1,1))]. 5383 K(x,y) * z != 1 | K(y,x) = z. [para(5368(a,1),4614(a,1,1))]. 5384 K(x,y) \ 1 != z | K(y,x) = z. [para(5368(a,1),4615(a,1,1))]. 5385 K(x * K(y,x),y) = K(x,y). [para(5216(a,1),5368(a,1,1)),flip(a)]. 5387 K(x,x \ (y * x)) = K(x,y). [para(37(a,1),5373(a,1,2))]. 5388 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(45(a,2),5373(a,1,2))]. 5389 K(x \ y,(x \ y) \ y) = K(x \ y,x). [para(128(a,1),5373(a,1,2))]. 5390 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(187(a,1),5373(a,1,2)),flip(a)]. 5392 K(x,y * K(x,y)) = K(x,y). [para(5216(a,1),5373(a,1,2)),flip(a)]. 5394 1 / K(x,y) = K(y,x). [para(5381(a,1),70(a,1,2))]. 5395 1 / K(x,y) != z | K(y,x) = z. [para(5381(a,1),303(a,1,2)),flip(b)]. 5396 L(x \ K(y,z),x,K(z,y)) = (K(z,y) * x) \ 1. [para(5381(a,1),241(a,1,1,2))]. 5397 T((x * K(y,z)) \ x,u) = L(T(K(z,y),u),K(y,z),x). [para(5381(a,1),344(a,2,1,1))]. 5398 L(L(K(x,y),z,u),K(y,x),w) = L((w * K(y,x)) \ w,z,u). [para(5381(a,1),346(a,1,1,1))]. 5399 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(5381(a,1),2018(a,2,2,1))]. 5400 T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(5381(a,1),2168(a,2,1,2,1))]. 5402 (x * K(y,x)) \ 1 = x \ K(x,y). [para(5381(a,1),3675(a,2,2))]. 5403 K(x,T(y,x)) != z | K(x,y) = z. [para(5381(a,1),4615(a,1))]. 5404 T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. [para(5394(a,1),3869(a,1,2,2))]. 5406 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(5192(a,1),303(a,1,2)),flip(b)]. 5407 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(5192(a,1),2185(a,1,2,1))]. 5408 K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. [para(5192(a,2),3529(a,2,1))]. 5409 K(x \ y,x) * (y / x) = x \ y. [para(19(a,1),5211(a,1,2,1))]. 5411 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(100(a,1),5211(a,1,2,1))]. 5413 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [para(5215(a,2),4358(a,1,1))]. 5414 (T(x,y) * y) / T(x,y) = y * K(x,y). [para(5215(a,2),4442(a,2,2))]. 5415 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(4746,a,5217,a),flip(a)]. 5416 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(4257,a,5217,a)]. 5418 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(255,a,3712,a(flip),b,5217,a),flip(a)]. 5419 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [hyper(80,a,5217,a,b,1611,a)]. 5420 T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). [hyper(80,a,5217,a,b,1079,a)]. 5421 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(26,a,5217,a)]. 5422 T(x * y,y) / T(x,y) = y * K(x * y,y). [hyper(255,a,1122,a,b,5217,a(flip)),flip(a)]. 5424 x \ T(x * y,y) = y * K(x * y,y). [hyper(255,a,4148,a(flip),b,5217,a(flip)),flip(a)]. 5426 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(122(a,1),5217(a,1,1))]. 5427 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(5217(a,1),123(a,1,1))]. 5428 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(5217(a,2),452(a,1,2))]. 5430 T(x * K(y * x,x),y) = R(x,y,x). [para(5217(a,1),703(a,2,1)),flip(a)]. 5431 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(5217(a,1),767(a,1,1))]. 5432 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(5217(a,1),775(a,1,1))]. 5433 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(5217(a,2),103(a,1,2))]. 5434 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(5217(a,1),871(a,1,1,1))]. 5435 (x * K(x * y,x)) * y = T(x * y,x). [para(5217(a,1),980(a,1,1))]. 5436 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(5217(a,1),769(a,1,1))]. 5437 L(x * K(y,x),x \ 1,x) = (y * (1 / (1 / x))) / y. [para(5217(a,1),1498(a,1,1))]. 5438 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(5217(a,1),1627(a,2,1,2))]. 5439 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1835(a,1),5217(a,1,1))]. 5440 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(5217(a,1),1847(a,2,1)),flip(a)]. 5441 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1951(a,1),5217(a,1,1))]. 5442 K(x,y) = (1 / y) * ((x * y) / x). [para(5217(a,2),3171(a,1,2)),flip(a)]. 5444 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(5217(a,1),5079(a,1,1,2))]. 5445 K(x,y) / (1 / y) = (x * (1 / (1 / y))) / x. [hyper(81,a,5237,a,b,1619,a)]. 5446 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [para(915(a,1),5237(a,2,1)),flip(a)]. 5447 (x \ y) \ (y / x) = K(x,x \ y). [para(19(a,1),5239(a,2,2,1)),flip(a)]. 5448 x * K(y,x) != z | (y * x) / y = z. [para(5239(a,2),220(a,1,2)),flip(b)]. 5451 K(x,y) * K(x \ 1,x) = (x \ 1) * T(x,y). [para(5241(a,2),3098(a,1,1))]. 5453 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(5243(a,2),431(a,1,2,2))]. 5454 T(x,y * x) * (x \ 1) = K(x,x * y). [para(4563(a,2),5243(a,2,1)),flip(a)]. 5455 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5381(a,1),5243(a,2,2)),flip(a)]. 5456 T(x,y) * (x \ 1) != z | K(x,y) = z. [para(5249(a,1),220(a,1,2)),flip(b)]. 5457 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(23,a,1957,a,b,5265,a)]. 5458 (x * y) / x != z | y * K(x,y) = z. [para(5265(a,1),304(a,1,1)),flip(b)]. 5460 x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). [para(5265(a,1),5083(a,1,2)),flip(a)]. 5463 L(((x * y) \ x) \ 1,(x * y) \ x,y * x) = y. [hyper(1612,a,5296,a)]. 5470 x \ (y * (x / y)) = K(y,y \ x). [hyper(255,a,107,a,b,5374,a(flip)),flip(a)]. 5471 K(x,x \ (y \ x)) = K(x,y \ 1). [hyper(255,a,4680,a(flip),b,5374,a(flip))]. 5472 x * K(y,y \ x) = y * (x / y). [para(5374(a,1),264(a,1,2))]. 5473 K(x,x \ y) \ 1 = K(y / x,x). [para(5374(a,1),5381(a,1,1))]. 5475 (x * (y / x)) \ y = K(x \ y,x). [hyper(255,a,108,a,b,5376,a(flip)),flip(a)]. 5484 (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. [para(3309(a,1),5255(a,1,2))]. 5485 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(45(a,2),5281(a,1,1))]. 5486 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(47(a,2),5281(a,1,1))]. 5488 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(4430(a,1),5281(a,1))]. 5489 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(4431(a,2),5281(a,1))]. 5490 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(45(a,2),5325(a,1,2))]. 5491 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(542(a,2),5325(a,1,2))]. 5493 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(4375(a,2),5325(a,1))]. 5502 K(x,x \ (y * x)) != z | K(x,y) = z. [para(37(a,1),5403(a,1,2))]. 5504 K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w. [para(47(a,2),5403(a,1,2))]. 5505 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(1061(a,1),5403(a,1,2))]. 5507 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(5368(a,2),5403(a,1))]. 5509 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(5178(a,1),2046(a,2,2))]. 5510 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2669,a,5179,a)]. 5512 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(255,a,1582,a(flip),b,5179,a(flip)),flip(a)]. 5513 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(255,a,1559,a(flip),b,5179,a(flip)),flip(a)]. 5514 K((x * y) \ x,x * y) = K(y \ 1,x * y). [para(20(a,1),5179(a,1,1,2))]. 5515 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(5179(a,1),1557(a,2,2))]. 5516 (x * y) * K(((x * y) \ x) \ 1,z) = x * T(y,z). [para(5179(a,1),1562(a,1,2))]. 5517 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(5179(a,1),1581(a,1,1))]. 5518 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [para(5179(a,1),1560(a,1,2))]. 5519 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(849,a,5187,a)]. 5525 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(5187(a,1),1218(a,1,1))]. 5526 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(5187(a,1),1411(a,2,1))]. 5528 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(5187(a,1),1895(a,2,2))]. 5529 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(5187(a,1),2453(a,2,1,2))]. 5530 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * K(y \ 1,z)) * z. [para(5187(a,1),2454(a,2,1,2))]. 5532 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u. [para(5206(a,1),431(a,1,2,2))]. 5533 K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. [para(5210(a,1),263(a,1,2))]. 5534 x \ (T(x,y) * z) = K(x,y) * z. [hyper(87,a,5220,a)]. 5535 K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)). [hyper(80,a,127,a(flip),b,5220,a),flip(a)]. 5536 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(80,a,19,a(flip),b,5220,a),flip(a)]. 5537 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(22,a,4582,a,b,5220,a),flip(a)]. 5538 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(22,a,1086,a,b,5220,a)]. 5539 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(22,a,4669,a(flip),b,5220,a)]. 5540 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(22,a,4667,a(flip),b,5220,a)]. 5541 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(22,a,4622,a(flip),b,5220,a)]. 5543 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(5220(a,1),29(a,2,2,1)),flip(a)]. 5545 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(2075(a,1),5220(a,1,2))]. 5546 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(1107,a,5221,a)]. 5547 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(873,a,5221,a)]. 5548 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(255,a,3325,a,b,5221,a)]. 5550 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(255,a,5220,a,b,5221,a(flip)),flip(a)]. 5551 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(255,a,4644,a,b,5221,a(flip)),flip(a)]. 5552 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [hyper(255,a,5137,a(flip),b,5221,a(flip)),flip(a)]. 5553 (x * y) / (T(x,z) * y) = K(z,x). [hyper(81,a,4769,a(flip),b,5221,a(flip))]. 5554 K(x,y) \ (y * z) = T(y,x) * z. [hyper(80,a,4769,a(flip),b,5221,a(flip))]. 5555 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(80,a,5221,a(flip),b,5220,a)]. 5556 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(80,a,5221,a(flip),b,4762,a(flip))]. 5557 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(33(a,2),5221(a,1,2)),flip(a)]. 5558 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(5186(a,2),5221(a,1,2)),flip(a)]. 5559 T(x,y) \ (x * z) = K(y,x) * z. [hyper(1127,a,5225,a)]. 5560 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(1106,a,5225,a),flip(a)]. 5561 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(255,a,4778,a,b,5225,a(flip)),flip(a)]. 5562 x \ (((y * x) / y) * z) = K(y,x) * z. [hyper(255,a,4777,a,b,5225,a(flip)),flip(a)]. 5563 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(81,a,4901,a(flip),b,5225,a(flip)),flip(a)]. 5564 T(x,y) * (K(y,x) * z) = x * z. [para(5225(a,1),1079(a,1,2))]. 5565 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(5225(a,1),1106(a,1))]. 5567 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(5186(a,2),5225(a,1,2)),flip(a)]. 5571 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))). [para(5226(a,1),424(a,1,1)),flip(a)]. 5572 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(895(a,1),5236(a,2,1)),flip(a)]. 5580 K(x,1 / y) != z | K(x,y \ 1) = z. [para(5250(a,1),5325(a,1))]. 5583 K(x,x / y) = K(x,y \ x). [hyper(5325,a,5269,a),flip(a)]. 5584 K(x,(y \ x) \ x) = K(x,y). [para(70(a,1),5583(a,1,2)),flip(a)]. 5585 K(x,x / (x / y)) = K(x,y). [para(73(a,1),5583(a,2,2))]. 5586 K(x,T(y,y \ x)) = K(x,y). [para(128(a,2),5584(a,1,2))]. 5587 K(x * y,T(x,y)) = K(x * y,x). [para(18(a,1),5586(a,1,2,2))]. 5588 T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). [hyper(81,a,5006,a,b,5271,a)]. 5589 K(x,(x \ 1) * y) * y = x * (y / x). [para(4690(a,2),5271(a,1,1))]. 5590 K(x,y) * ((x \ 1) \ y) = x * (((x \ 1) \ y) / x). [para(4692(a,1),5271(a,1,1))]. 5592 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(47(a,2),5272(a,2,1))]. 5593 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(5272(a,1),310(a,1))]. 5594 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(183(a,1),5272(a,1,2))]. 5595 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(184(a,1),5272(a,1,2))]. 5597 (K(x * y,z) * (x * (y * u))) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5272(a,1),441(a,1,2))]. 5600 K(x,y) \ z = K(y,x) * z. [hyper(255,a,5225,a(flip),b,5273,a(flip))]. 5602 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(3609,a,5600,a)]. 5603 K(x,y) * (y \ K(y,x)) = y \ 1. [hyper(3608,a,5600,a),flip(a)]. 5604 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(646,a,5600,a),flip(a)]. 5605 x / (K(y,z) * x) = K(z,y). [hyper(416,a,5600,a)]. 5606 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(255,a,3148,a,b,5600,a)]. 5607 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(223,a,5600,a),flip(a)]. 5608 K(x,y) * (K(y,x) * z) = z. [hyper(222,a,5600,a)]. 5609 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(80,a,5600,a,b,127,a)]. 5610 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(255,a,3952,a(flip),b,5600,a(flip))]. 5611 x * (K(y,z) * u) != u | K(z,y) = x. [para(5600(a,1),94(a,1,2)),flip(b)]. 5612 K(x,y) * (K(y,x) * z) != u | u = z. [para(5600(a,1),220(a,1,2))]. 5613 x / (K(y,z) * x) != u | K(z,y) = u. [para(5600(a,1),303(a,1,2)),flip(b)]. 5615 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5600(a,1),241(a,1,1,2))]. 5616 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5600(a,1),241(a,1,1))]. 5618 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5600(a,1),524(a,1,2))]. 5619 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5600(a,1),311(a,1,1,3))]. 5620 R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). [para(5600(a,1),4038(a,1,1))]. 5622 K(x,y) * z != u | K(y,x) * u = z. [para(5605(a,1),89(a,1,1)),flip(b)]. 5623 K(x,y) \ z != u | K(y,x) * z = u. [para(5605(a,1),219(a,1,1)),flip(b)]. 5624 K(x,y) != z | K(y,x) \ 1 = z. [para(5605(a,1),217(a,1)),flip(b)]. 5626 K(x,y) * (K(z,y) * K(y,x)) = K(z,y). [hyper(22,a,2075,a,b,5608,a)]. 5628 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(22,a,2075,a(flip),b,5608,a)]. 5629 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). [para(5608(a,1),114(a,2,1))]. 5630 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(5608(a,1),122(a,1,2))]. 5634 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(5274(a,1),220(a,1,2)),flip(b)]. 5636 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(5284(a,1),35(a,2,2)),flip(a)]. 5638 T(x,x \ y) / (y \ x) = x * (y / x). [para(5290(a,1),4181(a,1,1))]. 5639 T(x,x \ y) / ((y \ x) \ x) = x / ((x \ ((y \ x) \ x)) * x). [para(5290(a,1),4598(a,1,1))]. 5640 T(K(x,y) / (1 / y),x) = 1 / (1 / y). [para(73(a,1),5309(a,1,1,1,2))]. 5641 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(81,a,526,a(flip),b,5312,a),flip(a)]. 5642 K(x,T(y,T(x,z))) = K(x,y). [hyper(5323,a,5320,a)]. 5643 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(5320(a,2),5255(a,1))]. 5644 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(5359(a,2),1302(a,2,2))]. 5645 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(5360(a,1),2308(a,1,2))]. 5648 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(729(a,1),5362(a,2,2))]. 5649 1 / (x * K(y,x)) = K(x,y) / x. [para(5217(a,1),5362(a,2,2)),flip(a)]. 5650 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). [para(5402(a,1),3489(a,2,2,2))]. 5657 (x \ y) * K(x,x \ y) != z | y / x = z. [para(5447(a,1),220(a,1,2)),flip(b)]. 5659 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [para(5006(a,2),5470(a,1,2))]. 5660 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(5471(a,1),5271(a,1,1))]. 5661 T(x,K(y,y \ x)) = x. [hyper(172,a,5472,a,b,5271,a)]. 5663 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(5472(a,1),33(a,2,1)),flip(a)]. 5665 K(x / y,y) != z | K(y \ x,y) = z. [para(5473(a,1),5384(a,1))]. 5666 K(x \ (x / y),x) = (T(x,y \ 1) / y) \ (x / y). [para(4174(a,2),5475(a,1,1)),flip(a)]. 5667 T(x / y,z) \ x = K(x / y,z) \ y. [hyper(523,a,5534,a),flip(a)]. 5668 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(5534(a,1),220(a,1,2)),flip(b)]. 5671 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5536(a,1),24(a,1))]. 5673 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(45(a,2),5546(a,1,2,1))]. 5674 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(47(a,2),5553(a,1,2,1))]. 5677 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(45(a,2),5559(a,1,1))]. 5678 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(5559(a,1),220(a,1,2)),flip(b)]. 5680 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(5559(a,1),1103(a,1))]. 5681 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(5194(a,1),5559(a,1,2)),flip(a)]. 5682 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(5252(a,2),5559(a,1,2))]. 5683 K(x,y) * (y * z) = y * (K(x,y) * z). [para(5559(a,1),5225(a,1,2)),flip(a)]. 5687 K(x,y) * (x / y) = x / T(y,x). [hyper(4699,a,5564,a),flip(a)]. 5688 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(1137,a,5564,a)]. 5694 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5603(a,1),304(a,1,1)),flip(b)]. 5695 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5609(a,1),1814(a,1,2,2,1))]. 5696 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5609(a,1),1816(a,1,2,2,1))]. 5697 (x \ K(x,y)) * ((x \ 1) \ 1) = K(x,y). [para(5645(a,1),169(a,1,2))]. 5698 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(5645(a,1),182(a,1,2,1))]. 5699 (K(x,y) / x) \ 1 = x * K(y,x). [para(5649(a,1),73(a,1,1))]. 5702 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5687(a,1),112(a,1,1))]. 5703 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5687(a,1),149(a,1,2,1))]. 5704 K(x \ R(x,y,z),x) = (x \ K(x,x \ 1)) * x. [para(1450(a,2),5365(a,2,1))]. 5707 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(3147,a,5540,a)]. 5708 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(3147,a,5541,a)]. 5709 T(x,x * y) \ T(x,y) = x \ R(x,y,x). [hyper(80,a,5541,a(flip),b,5225,a),flip(a)]. 5713 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(2247(a,1),5612(a,1,2))]. 5716 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. [para(4049(a,2),5612(a,1,2)),flip(b)]. 5717 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(37(a,2),5623(a,1))]. 5718 T(x,T(y,x)) != z | T(x,y) = z. [para(126(a,1),5643(a,1,2,2))]. 5719 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(187(a,1),5643(a,1,2))]. 5724 K(x,x * y) * K(y,x) = x \ L(x,y,x). [hyper(80,a,5707,a(flip),b,5220,a),flip(a)]. 5725 T(x,y \ x) * K(y \ 1,x) = L(x,y \ 1,x). [para(1990(a,1),5707(a,1,1))]. 5726 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(80,a,5708,a(flip),b,5220,a),flip(a)]. 5727 (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). [para(5708(a,1),33(a,2,2,2)),flip(a)]. 5730 R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). [para(5181(a,1),3802(a,2,1,2,1))]. 5731 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(5189(a,1),19(a,1,2)),flip(a)]. 5732 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [para(5191(a,1),2870(a,1,1)),flip(a)]. 5733 K((1 / x) \ y,y) = K(y * x,y). [hyper(255,a,5177,a,b,5205,a)]. 5734 K(x * (y \ 1),x) = K(y \ x,x). [para(70(a,1),5733(a,1,1,1)),flip(a)]. 5735 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(5360(a,1),5734(a,1,1,2)),flip(a)]. 5736 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(5217(a,1),5213(a,1,1))]. 5737 K(x,y) * (((y * x) / y) * z) = x * z. [para(18(a,1),5214(a,1,2)),flip(a)]. 5739 x * ((x * K(y,x)) \ z) = K(x,y) * z. [para(5217(a,1),5214(a,1,2,1))]. 5740 K(x * (1 / y),x) = K(y \ x,x). [hyper(255,a,5177,a,b,5219,a)]. 5742 K((x \ 1) \ y,y) = K(y * x,y). [para(70(a,1),5740(a,1,1,2)),flip(a)]. 5743 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(81,a,831,a(flip),b,5222,a)]. 5744 x / (y * T(y \ x,z)) = K(z,x / y). [para(5222(a,1),5605(a,1,2))]. 5745 K(x,y) / (1 / T(y,x)) = 1 / (1 / y). [para(5230(a,1),70(a,1,2))]. 5746 K(x * K(y,y \ 1),z) = K(x,z). [hyper(255,a,5182,a,b,5232,a)]. 5747 K(x * K(y \ 1,y),z) = K(x,z). [para(1451(a,1),5746(a,1,1,2))]. 5751 K(K(x \ 1,x) * y,z) = K(y,z). [para(2911(a,1),5746(a,1,1)),flip(a)]. 5752 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2910(a,1),5746(a,1,1))]. 5754 K(((x \ 1) \ 1) * y,z) = K(x * y,z). [para(3069(a,1),5746(a,1,1))]. 5755 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(3091(a,1),5746(a,1,1)),flip(a)]. 5756 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(3097(a,1),5746(a,1,1))]. 5758 K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). [para(4878(a,2),5746(a,1,1))]. 5759 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4879(a,2),5746(a,1,1))]. 5762 K(x \ K(y \ 1,y),z) = K(x \ 1,z). [para(4861(a,1),5747(a,1,1))]. 5763 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4951(a,1),5747(a,1,1)),flip(a)]. 5764 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4950(a,2),5747(a,1,1))]. 5768 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(5000(a,1),5751(a,1,1))]. 5769 R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). [hyper(255,a,3792,a(flip),b,5238,a(flip)),flip(a)]. 5770 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(255,a,2583,a(flip),b,5238,a(flip)),flip(a)]. 5772 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). [hyper(255,a,1332,a(flip),b,5238,a(flip)),flip(a)]. 5774 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(5238(a,1),1053(a,2,2))]. 5775 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(5238(a,1),2052(a,1,2))]. 5776 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [para(5238(a,1),2420(a,2,2))]. 5777 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(5240(a,2),1190(a,2,1))]. 5779 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [para(1424(a,1),5248(a,2,1))]. 5780 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(255,a,5186,a,b,5262,a)]. 5782 K(x,y / (z * y)) = K(x,z \ 1). [hyper(5325,a,5278,a)]. 5785 K(x,(y \ z) / z) = K(x,y \ 1). [para(19(a,1),5782(a,1,2,2))]. 5786 K(x,(y / z) \ 1) = K(x,z / y). [para(21(a,1),5782(a,1,2,2)),flip(a)]. 5791 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(452(a,1),5785(a,1,2,1)),flip(a)]. 5794 K(x,y * K(z,z \ 1)) = K(x,y). [hyper(255,a,5186,a,b,5279,a)]. 5796 K(x,y * K(z \ 1,z)) = K(x,y). [para(1451(a,1),5794(a,1,2,2))]. 5797 K(x,K(y,y \ 1) * z) = K(x,z). [para(2247(a,2),5794(a,1,2))]. 5798 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(2895(a,1),5794(a,1,2))]. 5799 K(x,y * T(z,z \ 1)) = K(x,y * z). [para(2896(a,1),5794(a,1,2))]. 5800 K(x,K(y \ 1,y) * z) = K(x,z). [para(2911(a,1),5794(a,1,2)),flip(a)]. 5804 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(2920(a,1),5794(a,1,2)),flip(a)]. 5805 K(x,T(y,y \ 1) * z) = K(x,y * z). [para(3028(a,1),5794(a,1,2))]. 5807 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(3097(a,1),5794(a,1,2))]. 5808 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(3194(a,1),5794(a,1,2))]. 5809 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(4967(a,2),5794(a,1,2))]. 5812 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4950(a,2),5796(a,1,2))]. 5814 K(x,T(y * K(z,z \ 1),u)) = K(x,T(y,u)). [para(5075(a,2),5797(a,1,2))]. 5816 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(4985(a,1),5800(a,1,2))]. 5817 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(5001(a,1),5800(a,1,2))]. 5819 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(23,a,5265,a,b,5298,a),flip(a)]. 5820 T(x * K(x * y,x),y) = R(x,y,x). [hyper(23,a,4475,a,b,5298,a)]. 5821 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(23,a,1957,a,b,5298,a)]. 5823 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(5820(a,1),43(a,1,1)),flip(a)]. 5824 T(x * K(y \ x,x),y \ 1) = R(x,y \ 1,x). [para(5734(a,1),5820(a,1,1,2))]. 5825 T(x * K(y \ x,x),y \ 1) = R(x,x \ (y \ x),x). [hyper(255,a,4742,a,b,5299,a)]. 5826 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(80,a,5299,a,b,5217,a(flip))]. 5827 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(5299(a,2),5180(a,2,1)),flip(a)]. 5828 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(5299(a,2),5458(a,1))]. 5829 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(5337(a,1),5264(a,1))]. 5830 T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. [para(4569(a,1),5829(a,1))]. 5831 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(4602(a,2),5829(a,1))]. 5832 L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. [para(4585(a,2),5829(a,1))]. 5836 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(3053(a,1),5388(a,1,2))]. 5838 x * (y * K(z,y)) != u | u / ((z * y) / z) = x. [para(5421(a,1),96(a,1))]. 5839 x \ (y * T(y \ x,x)) = K((1 / y) * x,x). [hyper(930,a,5424,a)]. 5841 x \ T(x * y,y) = y * K(y * x,y). [hyper(23,a,5025,a,b,5435,a),flip(a)]. 5842 K(x,y * x) = K(x,x * y). [hyper(5456,a,5454,a)]. 5845 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(100(a,1),5842(a,2,2))]. 5846 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(19(a,1),5537(a,1,1,1)),flip(a)]. 5849 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(5217(a,1),5537(a,1,1))]. 5850 x * (K(x,y) * T(z,x)) = K(x,y) * (z * x). [hyper(255,a,5220,a,b,5538,a),flip(a)]. 5853 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(255,a,3323,a(flip),b,5558,a)]. 5854 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5558(a,2),3335(a,1))]. 5855 K(x,y) * (y * z) = ((x * y) / x) * z. [para(18(a,1),5561(a,1,2)),flip(a)]. 5858 ((x * y) / x) * z = y * (K(x,y) * z). [para(5562(a,1),19(a,1,2)),flip(a)]. 5859 x \ ((y / (y / x)) * z) = K(x \ y,x) * z. [para(4524(a,1),5562(a,1,2,1))]. 5860 T(x,x \ (y * x)) / ((y * x) \ x) = x * y. [para(20(a,1),5638(a,2,2))]. 5862 (K(x,y) / (1 / y)) * x = x * (1 / (1 / y)). [para(5640(a,1),127(a,1,2)),flip(a)]. 5865 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(255,a,2075,a,b,5682,a)]. 5868 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5683(a,1),122(a,2,1))]. 5869 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(5683(a,1),310(a,1))]. 5871 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5683(a,1),424(a,1,1))]. 5874 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(925(a,1),5688(a,1,2))]. 5875 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [hyper(605,a,5697,a)]. 5877 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(19(a,1),5737(a,1,2,1,1))]. 5879 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(4040,a,5739,a),flip(a)]. 5881 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(255,a,3911,a,b,5879,a(flip)),flip(a)]. 5882 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). [hyper(80,a,5879,a(flip),b,3911,a)]. 5883 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(1138(a,1),5744(a,1,2))]. 5884 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1743(a,1),5744(a,1,2))]. 5885 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(5190(a,2),5745(a,1,2))]. 5888 K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). [para(5699(a,1),5754(a,1,1,1,1))]. 5889 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(189(a,1),5762(a,1,1,2))]. 5890 K(x,(y \ 1) \ x) = K(x,x * y). [hyper(255,a,5780,a(flip),b,5798,a(flip)),flip(a)]. 5891 K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u). [hyper(255,a,5763,a,b,5799,a)]. 5892 K(x,(1 / x) * y) * y = x * (y / x). [para(5807(a,2),5589(a,1,1))]. 5893 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(3435(a,2),5808(a,1,2,1))]. 5894 K(x * y,y) = K(y * x,y). [hyper(22,a,5424,a(flip),b,5841,a(flip)),flip(a)]. 5895 K((x \ 1) \ y,y) = K(x * y,y). [hyper(255,a,5742,a,b,5894,a),flip(a)]. 5896 K((1 / x) * y,y) = K(x \ y,y). [hyper(255,a,5740,a(flip),b,5894,a)]. 5897 ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). [para(5895(a,1),5252(a,2,2)),flip(a)]. 5898 (x / (K(y,z) * T(y,u))) \ x = K(y,u) * T(y,z). [hyper(255,a,73,a,b,5853,a),flip(a)]. 5899 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5853(a,1),24(a,1))]. 5900 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(19(a,1),5855(a,2,1,1))]. 5901 (x * K(y,x)) * z = K(y,x) * (x * z). [para(5217(a,1),5855(a,2,1)),flip(a)]. 5902 (K(x,y) * y) * z = K(x,y) * (y * z). [para(5267(a,1),5855(a,2,1)),flip(a)]. 5903 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(19(a,1),5858(a,1,1,1)),flip(a)]. 5904 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(5858(a,1),774(a,1,1))]. 5905 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(4524(a,1),5858(a,1,1))]. 5906 (x * K(y,x)) * z = x * (K(y,x) * z). [para(5217(a,1),5858(a,1,1))]. 5908 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(4506(a,1),5865(a,1,2)),flip(a)]. 5909 L(x,y,K(z,y)) = x. [hyper(22,a,3156,a,b,5901,a),flip(a)]. 5910 L(x,T(y,z),K(z,y)) = x. [para(4195(a,1),5909(a,1,3))]. 5911 R(K(x,y),y,z) = K(x,y). [hyper(5091,a,5902,a)]. 5912 R(x,K(y,x),z) = x. [hyper(5091,a,5906,a)]. 5913 L(x,K(y,z),z) = x. [hyper(422,a,5906,a)]. 5914 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(5906(a,1),33(a,2,1)),flip(a)]. 5915 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(5912(a,1),459(a,1,1,1)),flip(a)]. 5916 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(5912(a,1),461(a,1,1,1)),flip(a)]. 5918 (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. [para(5913(a,1),224(a,1,2))]. 5927 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(255,a,4082,a(flip),b,5419,a(flip)),flip(a)]. 5928 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(5927(a,1),1721(a,1,1,2))]. 5929 L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2654(a,1),5488(a,1))]. 5931 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(4192(a,2),5507(a,1))]. 5933 T(x,y) * K(x,z) != u | K(x,y) * T(x,z) = u. [para(5186(a,2),5593(a,1,2))]. 5934 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5556(a,1),5593(a,1,2))]. 5935 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(19(a,1),5634(a,1,2))]. 5936 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(127(a,1),5634(a,1,2))]. 5937 K(x,y) * (((z * x) / z) * u) != w | T(x,y) * (K(z,x) * u) = w. [para(5858(a,2),5634(a,1,2))]. 5939 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(2346(a,1),5678(a,1,2))]. 5940 T(x,y) * z != u | x * (K(x,y) * z) = u. [para(5608(a,1),5678(a,1,2))]. 5942 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(255,a,5682,a(flip),b,5709,a(flip)),flip(a)]. 5944 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(2076,a,5724,a)]. 5945 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(5726(a,1),2076(a,1))]. 5946 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5894(a,2),5726(a,1,2))]. 5956 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(19(a,1),5942(a,1,1,1)),flip(a)]. 5957 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5942(a,1),2081(a,1))]. 5958 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(5894(a,2),5942(a,1,1))]. 5960 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(5170(a,1),4800(a,1,1,1))]. 5961 K((x \ (y \ x)) \ 1,z) = T(K(y,z),x). [para(5177(a,2),5185(a,1,1)),flip(a)]. 5962 T(K(x / y,z),x) = K((x \ y) \ 1,z). [para(73(a,1),5961(a,1,1,1,2)),flip(a)]. 5963 T(K(x / y,z),x) \ 1 = K(z,(x \ y) \ 1). [para(5962(a,2),5381(a,1,1))]. 5965 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(5489,a,5223,a)]. 5966 T(K(x \ 1,y),z) != u | K(T(x,z) \ 1,y) = u. [para(5223(a,1),5489(a,1))]. 5967 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(73(a,1),5965(a,2,1,1))]. 5968 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3312(a,1),5965(a,2,1))]. 5970 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). [para(5968(a,1),5394(a,1,2)),flip(a)]. 5971 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(5186(a,2),5244(a,1,1)),flip(a)]. 5974 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(73(a,1),5971(a,2,1,2))]. 5975 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(5971(a,2),127(a,1,2))]. 5976 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(3702(a,1),5971(a,2,1))]. 5978 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(5971(a,1),5255(a,1,2))]. 5981 K(x,R(T(K(x,y),z),u,w)) = 1. [para(5974(a,1),3339(a,1,2,1))]. 5982 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(5731(a,1),5974(a,1,2))]. 5984 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(23,a,5265,a,b,5300,a),flip(a)]. 5986 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(23,a,5265,a,b,5301,a),flip(a)]. 5987 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(5649(a,1),5305(a,1,1,2))]. 5988 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(5987(a,1),127(a,1,2)),flip(a)]. 5989 K(x,T(y,z)) * K(y \ 1,y) = (T(T(y,z),x) \ 1) * T(y,z). [para(3181(a,1),5408(a,1,2))]. 5990 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(255,a,2310,a(flip),b,5418,a),flip(a)]. 5991 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(81,a,5431,a,b,5267,a(flip))]. 5992 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(5431(a,2),5180(a,2,1)),flip(a)]. 5994 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(80,a,5432,a,b,5217,a(flip))]. 5995 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(5432(a,2),4526(a,1,1))]. 5996 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(5432(a,2),5180(a,2,1)),flip(a)]. 5998 K((x / y) \ 1,z) = K(y / x,z). [hyper(255,a,5233,a(flip),b,5512,a(flip))]. 6001 R(K(x / y,z),x / y,u) = K((y / x) \ 1,z). [hyper(255,a,4395,a,b,5998,a),flip(a)]. 6002 K((x / y) \ 1,x) = K(x \ y,x). [hyper(255,a,5376,a(flip),b,5998,a)]. 6007 K((x / y) \ 1,x) != z | K(x \ y,x) = z. [para(5998(a,2),5665(a,1))]. 6008 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(255,a,4683,a(flip),b,6002,a)]. 6009 K(x \ (y \ x),x) = K(y \ 1,x). [para(70(a,1),6002(a,1,1,1)),flip(a)]. 6014 x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y). [para(1138(a,1),5513(a,1,2))]. 6015 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1743(a,1),5513(a,1,2))]. 6016 T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). [para(2323(a,1),5513(a,1,2))]. 6017 (((x * y) \ x) \ x) * K(y \ 1,x * y) = x * y. [para(5514(a,1),5203(a,1,2))]. 6018 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(958,a,5515,a)]. 6019 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(849,a,5515,a),flip(a)]. 6020 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(661,a,5515,a),flip(a)]. 6021 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(255,a,1138,a(flip),b,5515,a(flip)),flip(a)]. 6023 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [para(5515(a,1),2010(a,2,1)),flip(a)]. 6024 T(x * y,z) / y = K(((1 / y) / x) \ 1,z) * x. [hyper(255,a,935,a(flip),b,5517,a),flip(a)]. 6025 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(255,a,925,a(flip),b,5517,a)]. 6026 x \ (y * T(y \ x,x)) = K((y / x) \ 1,x). [hyper(80,a,5517,a(flip),b,3141,a(flip))]. 6027 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(18(a,1),5517(a,2,2,1))]. 6028 (x \ K(x,y)) * x = (x \ 1) * T(x,y). [hyper(255,a,5451,a(flip),b,5533,a(flip))]. 6029 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(3165,a,5567,a)]. 6031 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [para(5641(a,1),43(a,1,1)),flip(a)]. 6032 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(81,a,4178,a,b,5660,a)]. 6036 (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. [hyper(255,a,3175,a(flip),b,5732,a(flip)),flip(a)]. 6038 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(3344(a,1),5758(a,1,1,2))]. 6039 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(3993(a,1),5759(a,1,1))]. 6041 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(5002(a,1),5764(a,1,1,1))]. 6042 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2821(a,1),5809(a,1,2,1)),flip(a)]. 6043 K(x,(y * (z / (1 / u))) \ w) = K(x,(y * (z / (u \ 1))) \ w). [para(4991(a,1),5812(a,1,2,1)),flip(a)]. 6045 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(3097(a,1),5814(a,1,2,1))]. 6046 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5819(a,1),222(a,1,2)),flip(b)]. 6049 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5894(a,1),5826(a,1,2,1,2))]. 6050 T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). [para(5515(a,2),5826(a,1,2,1))]. 6052 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5819(a,1),5827(a,1,1,1))]. 6053 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(5622,a,5846,a)]. 6055 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(37(a,2),5846(a,1,2))]. 6059 T(x,T(y,x)) / ((y * x) \ x) = x * y. [para(37(a,2),5860(a,1,1,2))]. 6060 T(x,y) / ((y * x) \ x) = x * y. [para(4446(a,1),6059(a,1,1))]. 6061 T(x,y) = (x * y) * ((y * x) \ x). [para(6060(a,1),21(a,1,1)),flip(a)]. 6062 (x * y) \ T(x,y) = (y * x) \ x. [para(6060(a,1),73(a,1,1))]. 6064 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(80,a,6061,a,b,99,a(flip)),flip(a)]. 6065 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(255,a,4779,a,b,6062,a(flip)),flip(a)]. 6075 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(22,a,3996,a,b,5881,a),flip(a)]. 6076 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * x. [para(5882(a,1),4911(a,1,1)),flip(a)]. 6080 K(x / y,(x / y) \ x) * z = y \ ((x / (x / y)) * z). [hyper(284,a,5903,a),flip(a)]. 6082 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(5272(a,1),5903(a,1,2))]. 6085 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(255,a,5976,a(flip),b,5970,a(flip))]. 6086 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(6085(a,1),73(a,1,1))]. 6087 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [para(6085(a,1),5183(a,2,1)),flip(a)]. 6088 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(255,a,5963,a(flip),b,6086,a(flip))]. 6089 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [para(6086(a,1),193(a,1,2)),flip(a)]. 6090 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(6086(a,1),5184(a,2,2)),flip(a)]. 6091 L(T(K(x,y),z),K(y,x),z) = (K(y,x) * z) \ z. [para(6086(a,1),6065(a,1,1))]. 6092 K(K(x,y),z) = K(z,K(y,x)). [hyper(255,a,5455,a(flip),b,6087,a(flip)),flip(a)]. 6093 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(5624,a,6092,a)]. 6094 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(6092(a,1),5252(a,2,2)),flip(a)]. 6095 x * K(K(y,z),x) = T(x,K(z,y)). [para(6092(a,2),5252(a,2,2)),flip(a)]. 6096 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(6092(a,1),5263(a,2,1)),flip(a)]. 6097 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(6092(a,1),5384(a,1,1))]. 6098 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(6092(a,1),5272(a,1,1))]. 6099 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(6093(a,1),5384(a,1))]. 6100 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(5657,a,6095,a),flip(a)]. 6101 T(T(x,K(y,z)),K(z,y)) = x. [hyper(255,a,5266,a(flip),b,6095,a(flip))]. 6102 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(6095(a,1),5265(a,1,1))]. 6105 T(K(x,y),K(z,y)) = K(x,y). [para(2072(a,1),6101(a,1,1))]. 6106 T(K(x,y),K(x,z)) = K(x,y). [para(2074(a,1),6101(a,1,1))]. 6107 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(80,a,6105,a(flip),b,5607,a)]. 6108 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(6105(a,1),127(a,1,2))]. 6110 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(6106(a,1),127(a,1,2))]. 6112 T(K(x,y),y * z) = K(x,((y * z) \ z) \ 1). [para(20(a,1),6088(a,1,1,2))]. 6113 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(6088(a,1),127(a,1,2))]. 6116 K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. [para(6094(a,1),5612(a,1,2)),flip(b)]. 6117 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(5275,a,6107,a)]. 6118 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(5935,a,6110,a)]. 6119 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(5381(a,1),6097(a,1))]. 6120 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(5455(a,2),6119(a,1))]. 6121 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(129(a,1),5975(a,1,2,2,1)),flip(a)]. 6123 K(x,y) / (1 / y) = 1 / (K(y,x) / y). [hyper(23,a,5862,a,b,5988,a),flip(a)]. 6124 ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). [para(5217(a,1),5990(a,1,1,1))]. 6125 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(5360(a,1),5990(a,1,1))]. 6126 K((x / y) \ 1,y) = K((1 / x) * y,y). [hyper(255,a,5839,a(flip),b,6026,a(flip))]. 6127 K((x / y) \ 1,y) = K(x \ y,y). [hyper(255,a,5896,a(flip),b,6126,a)]. 6128 K(x / y,x) = K(y \ x,x). [hyper(255,a,5998,a(flip),b,6127,a(flip)),flip(a)]. 6129 K((x \ y) \ y,y) = K(x,y). [para(70(a,1),6128(a,1,1)),flip(a)]. 6131 L(x * K(y,x),x \ 1,x) = x * ((T(x,y) \ 1) * x). [para(6036(a,1),190(a,1,2)),flip(a)]. 6132 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(87,a,6075,a)]. 6133 K(x,y) * K(y,((x * z) \ z) \ 1) = K(x * z,K(x,y)). [para(6112(a,1),6090(a,1,2))]. 6134 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(6117(a,1),4307(a,2,3))]. 6135 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(255,a,5098,a(flip),b,6132,a(flip)),flip(a)]. 6136 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(255,a,5097,a(flip),b,6132,a(flip)),flip(a)]. 6137 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(6135(a,1),5890(a,1,2,1))]. 6140 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(4039(a,1),5196(a,1,1,1)),flip(a)]. 6142 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(4039(a,1),5254(a,1,2,1)),flip(a)]. 6144 L(K(x,y) * K(z,y),K(y,z),K(y,x)) = (K(y,x) * K(y,z)) \ 1. [para(6107(a,1),5396(a,1,1))]. 6145 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(5440(a,2),4550(a,1,1))]. 6146 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(5512(a,1),5493(a,1))]. 6147 K(x \ 1,y) != z | K(1 / x,y) = z. [para(68(a,1),6146(a,1,1,1))]. 6152 K(x \ R(x,y,z),x) = (x \ K(x,R(x \ 1,u,w))) * x. [para(3922(a,2),5704(a,2,1,2))]. 6155 T(x,K(y,y \ 1)) != z | z = x. [para(5607(a,1),5713(a,1))]. 6157 T(x / y,y) != z | y \ x = z. [para(1386(a,1),6155(a,1)),flip(b)]. 6159 T(x,x \ y) != z | (x \ y) \ y = z. [para(70(a,1),6157(a,1,1))]. 6165 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(47(a,2),6159(a,1))]. 6170 T(x,T(1 / y,z) \ x) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(3314(a,1),5725(a,1,2))]. 6171 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(255,a,47,a,b,5823,a)]. 6172 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5836(a,1),5892(a,1,1))]. 6179 ((x * y) / x) * z != u | y * (K(x,y) * z) = u. [para(5217(a,2),5918(a,1,1))]. 6183 x \ K(x * y,x \ 1) = y / (y / (x \ 1)). [para(4686(a,1),5164(a,1,2))]. 6184 (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). [para(6183(a,2),73(a,1,1))]. 6185 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(5186(a,2),5234(a,1,1))]. 6187 K(x,L(x,y,z) \ 1) = K(x,x \ 1). [hyper(255,a,4960,a(flip),b,6185,a(flip))]. 6188 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (1 / x) * (L(x,y,z) \ x). [hyper(80,a,6185,a(flip),b,3824,a)]. 6189 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(73(a,1),6185(a,1,1,2)),flip(a)]. 6190 (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). [para(6185(a,1),112(a,1,2))]. 6191 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3702(a,1),6185(a,1,1)),flip(a)]. 6192 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(6187(a,2),4964(a,1,2))]. 6193 T(x,L(x,y,z) \ 1) = K(x,x \ 1) * x. [para(6187(a,1),5263(a,2,1))]. 6194 K(x,T(y,L(y,z,u) \ 1)) = K(x,y). [para(6193(a,2),5797(a,1,2))]. 6195 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(342(a,1),6191(a,1,2,1)),flip(a)]. 6197 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [para(5357(a,1),21(a,1,1))]. 6198 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(255,a,6117,a(flip),b,5420,a)]. 6199 ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(6198(a,1),113(a,1,2,2,1))]. 6200 (x * y) / (y * K(z,y)) = (x / (y * K(z,y))) * y. [para(5217(a,1),5438(a,1,2))]. 6201 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(5438(a,1),6157(a,1,1))]. 6202 a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). [hyper(255,a,3807,a,b,5510,a(flip)),flip(a)]. 6204 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(5187(a,1),5510(a,1,1))]. 6205 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(5240(a,2),5510(a,1,1)),flip(a)]. 6207 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(6204(a,1),122(a,1,1))]. 6208 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(123(a,1),6204(a,2,1,1))]. 6209 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3312(a,1),6204(a,1,1)),flip(a)]. 6211 K(x,R(1 / y,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(6205(a,1),5381(a,1,1)),flip(a)]. 6212 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(6205(a,1),6204(a,1,1)),flip(a)]. 6213 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(6209(a,1),5600(a,1,1)),flip(a)]. 6214 (x * y) * z != x * T(y,u) | K(((x * y) \ x) \ 1,u) = z. [para(5516(a,1),24(a,1)),flip(a)]. 6215 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(255,a,1749,a(flip),b,5519,a(flip)),flip(a)]. 6216 (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). [para(73(a,1),5519(a,1,2,2,1,2))]. 6217 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(127(a,1),5519(a,1,2))]. 6218 x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). [para(848(a,1),5519(a,1,2))]. 6222 K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y). [para(3606(a,1),5525(a,2,2,1))]. 6223 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(848(a,1),5526(a,1,2))]. 6224 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5525(a,2),5526(a,1,2))]. 6225 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(255,a,5998,a,b,5563,a(flip)),flip(a)]. 6227 (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). [hyper(5489,a,5666,a),flip(a)]. 6228 K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). [hyper(255,a,3479,a,b,6227,a(flip)),flip(a)]. 6229 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(20(a,1),6228(a,1,2,2))]. 6230 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(6147,a,6229,a)]. 6231 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [para(6230(a,1),5472(a,1,2)),flip(a)]. 6233 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1332(a,1),5770(a,1,1))]. 6234 T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). [para(2425(a,1),5770(a,1,1))]. 6236 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(5057(a,1),5883(a,1,2))]. 6237 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(5069(a,1),5884(a,1,2))]. 6238 R(K(x,y),x,z) != u | K(x,y) = u. [para(4373(a,2),5931(a,1))]. 6239 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(5199,a,6017,a)]. 6240 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [para(162(a,2),6239(a,2,1)),flip(a)]. 6241 x / T(x * y,y \ 1) = L(y \ 1,y,x). [para(6240(a,1),70(a,1,2))]. 6242 T(x,x \ T(x * y,y \ 1)) = T(x,L(y \ 1,y,x) \ 1). [para(6240(a,1),4409(a,1,2,2))]. 6243 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(5073(a,1),6241(a,1,2))]. 6244 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(6018(a,1),19(a,1,2))]. 6245 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [para(21(a,1),6024(a,1,1,1)),flip(a)]. 6247 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(5155(a,1),6045(a,1,2,1)),flip(a)]. 6250 K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). [para(5360(a,1),6121(a,1,1,2))]. 6252 ((x * K(y,z)) / (z * K(y,z))) * z = R(x,K(y,z),z). [hyper(3160,a,6200,a),flip(a)]. 6256 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(73(a,1),6224(a,1,2,1,1))]. 6257 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3312(a,1),6224(a,1,2,1))]. 6258 x * K((1 / y) \ 1,x * (1 / y)) = y * (x / y). [hyper(255,a,3220,a(flip),b,6231,a(flip))]. 6260 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5381(a,1),6244(a,1,2,2,1,1,2))]. 6261 x * K(y,x * (1 / y)) = y * (x / y). [para(73(a,1),6258(a,1,2,1))]. 6262 K(x,y * (1 / x)) = K(x,x \ y). [hyper(22,a,5472,a,b,6261,a)]. 6265 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [para(70(a,1),6262(a,1,2,2)),flip(a)]. 6266 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(6262(a,1),5394(a,1,2)),flip(a)]. 6268 K(x * (1 / y),y) = K(y \ x,y). [hyper(255,a,5394,a(flip),b,6266,a)]. 6271 K(x * (y \ 1),y) = K(y \ x,y). [hyper(255,a,5752,a(flip),b,6268,a(flip)),flip(a)]. 6272 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(70(a,1),6268(a,1,1,2)),flip(a)]. 6273 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [hyper(255,a,5379,a(flip),b,6271,a(flip)),flip(a)]. 6282 K(R(x,y,y \ 1),y) = K(x,y). [hyper(255,a,615,a(flip),b,6273,a)]. 6284 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(255,a,4691,a(flip),b,6265,a(flip))]. 6285 x * T(x \ 1,y * x) = K(x \ 1,x * y). [hyper(5316,a,6284,a)]. 6286 K((1 / x) \ y,x \ 1) = K(y * x,x \ 1). [hyper(255,a,5755,a,b,6272,a(flip)),flip(a)]. 6287 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(255,a,4686,a(flip),b,6272,a(flip))]. 6288 K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). [para(6287(a,1),5982(a,1,2,2))]. 6289 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(22,a,5187,a,b,6285,a)]. 6290 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(255,a,4599,a(flip),b,6289,a)]. 6291 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). [para(6289(a,1),2185(a,1,2,1,1))]. 6292 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). [para(6289(a,2),2185(a,1,1))]. 6293 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(19(a,1),6290(a,1,2))]. 6298 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(255,a,5982,a(flip),b,6288,a(flip))]. 6299 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6298(a,2),5455(a,1,1))]. 6300 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(6120,a,6299,a),flip(a)]. 6301 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(6119,a,6300,a),flip(a)]. 6302 (x / (x / y)) \ L(y,y \ x,y) = K((x / y) \ x,x). [hyper(255,a,6128,a(flip),b,5277,a)]. 6303 T((x * K(y,z)) \ x,x) = (K(y,z) * x) \ x. [hyper(255,a,6091,a(flip),b,5397,a)]. 6304 L(x * K(y,x),x \ 1,x) = K(y,x) / (1 / x). [hyper(255,a,5445,a,b,5437,a)]. 6306 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5600(a,1),5615(a,1,1))]. 6307 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(255,a,4721,a(flip),b,5616,a(flip))]. 6310 R(x,x \ (y \ x),x) = R(x,y \ 1,x). [hyper(255,a,5824,a(flip),b,5825,a(flip))]. 6311 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(22,a,5104,a(flip),b,5984,a)]. 6313 K(L(x,y,z) \ 1,x) = K(x \ 1,L(x,u,w)). [hyper(255,a,4933,a,b,6311,a),flip(a)]. 6314 L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x). [para(6311(a,2),2694(a,1,1))]. 6322 x * ((T(x,y) \ 1) * x) = K(y,x) / (1 / x). [hyper(255,a,6304,a(flip),b,6131,a(flip))]. 6323 x \ (1 / (K(x,y) / x)) = (T(x,y) \ 1) * x. [hyper(80,a,6123,a(flip),b,6322,a)]. 6324 x \ (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [para(5362(a,1),6323(a,1,2,2))]. 6325 T(x,y) \ (1 / (1 / T((z * x) / z,y))) = (T(T(x,y),z) \ 1) * T(x,y). [para(404(a,1),6324(a,1,2,2,2))]. 6326 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(20(a,1),6172(a,2,2))]. 6327 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(5176,a,6326,a),flip(a)]. 6328 T(1 / L(x,y,z),x) = L(x,y,z) \ 1. [para(6192(a,1),5307(a,1,1))]. 6330 (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(6202(a,1),634(a,1,2))]. 6331 R(x * y,K(z,y),y) = R(x,y,K(z,y)) * y. [para(35(a,2),6252(a,1,1)),flip(a)]. 6332 R(x * y,K(z,y),y) != u * y | R(x,y,K(z,y)) = u. [para(6331(a,2),25(a,1))]. 6333 K(x,y) = (y / (y / x)) \ L(x,x \ y,x). [hyper(255,a,616,a(flip),b,6302,a),flip(a)]. 6336 K(L(x,y,z) \ 1,L(x,y,z)) = K(L(x,y,z) \ 1,x). [hyper(3630,a,6314,a)]. 6337 K(L(x,y,z) \ 1,L(x,y,z)) = K(x \ 1,L(x,u,w)). [hyper(255,a,6313,a(flip),b,6336,a)]. 6339 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(6337(a,1),2306(a,1,1))]. 6340 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(6337(a,1),2862(a,1,1))]. 6341 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(255,a,2515,a(flip),b,5363,a)]. 6342 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3968,a,6341,a)]. 6343 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [hyper(255,a,6124,a(flip),b,5404,a)]. 6344 T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(6110(a,1),5404(a,2,1,1))]. 6345 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(47(a,2),5518(a,2,2))]. 6346 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(5187(a,1),5528(a,1,1,2))]. 6349 (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. [hyper(87,a,6346,a)]. 6350 ((x * y) * K(y \ 1,z)) / (K(y \ 1,z) * y) = R(x,K(y \ 1,z),y). [hyper(81,a,6346,a(flip),b,122,a)]. 6353 R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). [para(6349(a,1),1061(a,1,1)),flip(a)]. 6354 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(255,a,4556,a(flip),b,5594,a)]. 6355 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(255,a,4557,a(flip),b,5595,a)]. 6358 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(5238(a,1),5769(a,1,1))]. 6359 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(6238,a,6358,a),flip(a)]. 6360 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(255,a,3994,a(flip),b,6358,a(flip))]. 6361 K(x,R(1 / y,z,u) \ 1) = R(K(x,y),z,u). [para(73(a,1),6358(a,1,1,2)),flip(a)]. 6362 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3702(a,1),6358(a,1,1)),flip(a)]. 6363 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5786(a,1),6358(a,1,1)),flip(a)]. 6364 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(51(a,1),6359(a,1,2,1))]. 6365 K(x \ R(x,y,z),x) = (x \ K(x,R(x,u,w) \ 1)) * x. [para(6360(a,2),5704(a,2,1,2))]. 6366 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(255,a,6211,a(flip),b,6361,a(flip)),flip(a)]. 6367 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(817,a,6366,a),flip(a)]. 6368 (R(K(x,y),z,u) \ K(R(K(x,y),z,u) * w,R(K(y,x),z,u))) \ w = w / (R(K(x,y),z,u) \ 1). [para(6366(a,1),6184(a,1,1,2,2))]. 6369 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(6362(a,1),5252(a,2,2))]. 6370 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(255,a,5791,a(flip),b,6363,a(flip))]. 6372 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(450(a,1),6363(a,1,2)),flip(a)]. 6373 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(21(a,1),6370(a,2,2,1))]. 6374 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(21(a,1),6370(a,2,2,2))]. 6375 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(70(a,1),6370(a,1,1,2)),flip(a)]. 6376 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(5583(a,1),6374(a,1,1))]. 6377 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(120(a,2),6375(a,1,2))]. 6378 R(K(x,y),T(y,z),u) = K(x,y). [para(4340(a,1),6375(a,1,2)),flip(a)]. 6379 (K(x,y) * T(y,z)) \ K(x,y) = T(y,z) \ 1. [hyper(80,a,6378,a(flip),b,193,a)]. 6380 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(6378(a,1),122(a,1,1)),flip(a)]. 6381 K(x,R(y,T(y,x) \ z,u)) = R(K(x,T(y,x)),z,u). [hyper(5504,a,6377,a)]. 6382 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(18(a,1),6377(a,1,2,2)),flip(a)]. 6383 R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). [para(37(a,2),6377(a,1,2,2)),flip(a)]. 6384 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(149(a,1),6377(a,1,2,2)),flip(a)]. 6385 R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). [para(5556(a,1),6377(a,1,2,2)),flip(a)]. 6386 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(6238,a,6382,a),flip(a)]. 6387 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(255,a,6204,a(flip),b,6382,a(flip)),flip(a)]. 6388 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6382(a,1),47(a,2,1))]. 6389 R(x,y,x) \ K(x * y,x) = T(x,y) \ 1. [para(5541(a,1),6379(a,1,1))]. 6390 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(6238,a,6376,a),flip(a)]. 6391 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(255,a,5786,a,b,6376,a)]. 6392 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(6376(a,1),6238(a,1))]. 6394 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1836(a,1),6390(a,1,2)),flip(a)]. 6395 L(x,T(y,z),K(u,y)) = x. [hyper(422,a,6380,a)]. 6396 K(x,R(y,T(y,x) \ z,u)) = R(K(x,y),z,u). [para(5373(a,1),6381(a,2,1))]. 6397 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(482(a,1),6364(a,1,2,1)),flip(a)]. 6399 R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1). [para(20(a,1),6391(a,1,1,2,1))]. 6400 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(6391(a,1),47(a,2,1))]. 6401 R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1). [para(21(a,1),6399(a,2,2,1,2))]. 6402 x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). [para(19(a,1),5772(a,1,2,2,1))]. 6403 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(5402(a,1),5888(a,1,1,1)),flip(a)]. 6404 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(3146(a,1),5916(a,1,1))]. 6405 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(4065(a,1),6015(a,1,2)),flip(a)]. 6406 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(5072,a,6021,a),flip(a)]. 6408 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(6046,a,6049,a),flip(a)]. 6409 K(x / y,(x / y) \ x) = K(y \ x,y). [hyper(23,a,5859,a(flip),b,6080,a)]. 6412 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(6140(a,2),157(a,1))]. 6413 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(255,a,60,a(flip),b,6142,a)]. 6415 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x \ 1,u,w)). [hyper(255,a,6028,a(flip),b,6152,a)]. 6416 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6362(a,1),6213(a,1,1)),flip(a)]. 6417 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(541,a,6416,a)]. 6418 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(510,a,6416,a)]. 6420 ((x \ 1) * y) / ((x \ K(x,z)) * y) = R(K(z,x),x \ 1,y). [para(3605(a,1),6417(a,1,2,1))]. 6421 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(255,a,5572,a(flip),b,6215,a(flip))]. 6422 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5515(a,1),6215(a,1,1))]. 6424 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(848(a,1),6216(a,1,2)),flip(a)]. 6425 K(x \ y,y) / (y \ T(y * (x \ 1),y)) = x. [hyper(81,a,6421,a(flip),b,6218,a)]. 6426 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6425(a,1),148(a,1,2,1))]. 6427 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6426(a,1),1980(a,2,2,1))]. 6429 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(255,a,6236,a(flip),b,6237,a(flip))]. 6430 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(96,a,6245,a),flip(a)]. 6431 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(18(a,1),6250(a,2,2,2,1))]. 6434 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(81,a,6342,a(flip),b,2899,a)]. 6435 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x,u,w) \ 1). [hyper(255,a,6028,a(flip),b,6365,a)]. 6436 R(K(x,y),K(x,y) * z,u) = R(K(x,y),z,u). [hyper(255,a,6396,a(flip),b,6385,a)]. 6437 R(K(x,y),y \ K(y,x),z) = R(K(x,y),y \ 1,z). [para(5603(a,1),6436(a,1,2)),flip(a)]. 6438 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = ((((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z)) * (x \ 1)) * z. [para(6437(a,2),1882(a,2,2,1)),flip(a)]. 6439 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(5132(a,1),6394(a,1,2,1))]. 6440 R(x,y,z) * (K(u,x) * w) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5. [para(6404(a,1),454(a,1))]. 6443 T(x,R(x \ 1,y,z)) = T(x,R(x,u,w) \ 1). [hyper(22,a,6415,a(flip),b,6435,a(flip)),flip(a)]. 6444 T(x,R(x,y,z) \ 1) = T(x,x \ 1). [hyper(255,a,4165,a(flip),b,6443,a(flip))]. 6445 (R(x,y,z) \ 1) * T(x,x \ 1) = R(x,y,z) \ x. [para(6444(a,1),1312(a,1,2))]. 6446 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = R(x,y,z) \ x. [hyper(255,a,274,a(flip),b,6445,a(flip)),flip(a)]. 6448 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(255,a,6076,a(flip),b,6446,a(flip)),flip(a)]. 6449 T(1 / R(x,y,z),x) = R(x,y,z) \ 1. [hyper(172,a,6448,a,b,1308,a)]. 6450 x / R(x,y,z) = R(x,y,z) \ x. [hyper(255,a,1952,a(flip),b,6448,a(flip)),flip(a)]. 6452 (x / R(x,y,z)) * u = (R(x,y,z) \ x) * u. [hyper(27,a,6450,a)]. 6453 (R(x,y,z) \ x) * R(x,y,z) = x. [para(6450(a,1),21(a,1,1))]. 6454 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(6450(a,1),6370(a,1,1,2))]. 6455 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(6450(a,2),6137(a,1,2,1))]. 6456 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(6453(a,1),5011(a,1,1,1))]. 6457 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(255,a,5335,a,b,6456,a(flip)),flip(a)]. 6458 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(255,a,2189,a,b,5367,a(flip)),flip(a)]. 6459 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(5592(a,1),5613(a,1,2))]. 6460 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(255,a,6416,a(flip),b,5703,a(flip)),flip(a)]. 6462 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(255,a,6192,a(flip),b,5779,a(flip))]. 6464 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(6462(a,1),21(a,1,1))]. 6465 x / L(x,y,z) = L(x,y,z) \ x. [hyper(255,a,1837,a(flip),b,6464,a(flip)),flip(a)]. 6466 (L(x,y,z) \ x) \ x = L(x,y,z). [para(6465(a,1),73(a,1,1))]. 6468 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(5187(a,1),5929(a,1,1))]. 6470 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(6468,a,xx),flip(a)]. 6473 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1723(a,1),6470(a,1,1)),flip(a)]. 6475 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3312(a,1),6470(a,1,1)),flip(a)]. 6476 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(5381(a,1),6470(a,1,1,1)),flip(a)]. 6477 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5967(a,1),6470(a,1,1)),flip(a)]. 6479 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(6475(a,1),5381(a,1,1)),flip(a)]. 6480 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(6475(a,1),5600(a,1,1)),flip(a)]. 6483 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(255,a,6191,a(flip),b,6479,a(flip))]. 6484 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [para(6483(a,1),70(a,1,2))]. 6485 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(6483(a,1),303(a,1,2)),flip(b)]. 6486 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6484(a,1),219(a,1,1)),flip(b)]. 6488 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(6191(a,1),6480(a,1,1)),flip(a)]. 6489 x / (L(K(y,z),u,w) * x) = L(K(z,y),u,w). [hyper(416,a,6488,a)]. 6490 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(255,a,2077,a(flip),b,6488,a)]. 6491 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(222,a,6488,a)]. 6492 x / (L(K(y,z),u,w) * x) != v5 | L(K(z,y),u,w) = v5. [para(6488(a,1),303(a,1,2)),flip(b)]. 6493 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(6489(a,1),89(a,1,1)),flip(b)]. 6496 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(5169(a,1),5960(a,1,1)),flip(a)]. 6497 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(255,a,45,a,b,6496,a)]. 6498 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(6497(a,1),49(a,1,1)),flip(a)]. 6501 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(6002(a,1),6208(a,1,1))]. 6502 R(K(x \ (y / z),x),y / z,z) = K(((x * z) / y) \ 1,x). [para(21(a,1),6501(a,2,1,1,2))]. 6503 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(73(a,1),6243(a,1,2,2)),flip(a)]. 6505 (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). [hyper(80,a,6378,a(flip),b,6367,a(flip)),flip(a)]. 6506 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(5853(a,1),6505(a,1,1))]. 6509 R(K(x \ (y / z),x),y / z,z) != u | K(y / (x * z),x) = u. [para(6502(a,2),6146(a,1))]. 6510 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(5261(a,1),5399(a,1,2))]. 6511 T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. [para(5407(a,1),5940(a,1))]. 6512 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1955,a,5426,a),flip(a)]. 6513 (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). [para(5308(a,1),5460(a,1,2)),flip(a)]. 6514 (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). [para(1891(a,1),6513(a,2,2))]. 6518 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(255,a,6118,a(flip),b,5698,a)]. 6519 K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). [para(6518(a,1),3543(a,1,2))]. 6520 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(5547(a,1),5743(a,1,1,2)),flip(a)]. 6521 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [para(127(a,1),6019(a,2,2))]. 6523 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(529(a,1),6212(a,1,1,1)),flip(a)]. 6524 T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). [para(790(a,1),6234(a,1,1,1))]. 6525 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(73(a,1),6256(a,2,1,1))]. 6526 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(18(a,1),6525(a,1,2,2)),flip(a)]. 6528 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(80,a,6526,a,b,127,a)]. 6529 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3312(a,1),6257(a,2,1))]. 6531 K(x,y) * ((x \ 1) \ T(y,x)) = (x \ 1) \ y. [hyper(80,a,5207,a(flip),b,6529,a),flip(a)]. 6532 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(18(a,1),6529(a,1,2,2)),flip(a)]. 6533 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(37(a,2),6529(a,1,2,2))]. 6535 K(T(x,y),y) * ((T(x,y) \ 1) \ T(y,x)) = (T(x,y) \ 1) \ y. [para(4446(a,1),6531(a,1,2,2))]. 6536 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [para(127(a,1),6532(a,2,2))]. 6537 x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). [para(6532(a,2),190(a,1,2))]. 6539 ((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x). [para(6532(a,1),5605(a,1,2))]. 6540 ((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z) = K(y,x). [para(5608(a,1),6539(a,1,2,2))]. 6542 L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). [hyper(5668,a,6537,a),flip(a)]. 6543 T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). [para(5608(a,1),6542(a,1,1)),flip(a)]. 6544 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5515(a,2),6260(a,1,2))]. 6545 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(6020(a,1),6260(a,1,2)),flip(a)]. 6546 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(4621(a,1),6354(a,1,2))]. 6547 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(4621(a,1),6355(a,1,2))]. 6548 K((x \ (y / (z \ 1))) \ 1,y) = K((x \ (y * z)) \ 1,y). [hyper(255,a,6014,a(flip),b,6405,a)]. 6549 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(313,a,6422,a)]. 6550 ((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)). [hyper(255,a,6215,a,b,6424,a(flip)),flip(a)]. 6551 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(255,a,6090,a(flip),b,6510,a)]. 6552 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(5378(a,1),6512(a,1,2)),flip(a)]. 6553 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(255,a,5415,a(flip),b,6552,a)]. 6554 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(19(a,1),6553(a,1,1,1)),flip(a)]. 6555 (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(6519(a,1),3988(a,1,1)),flip(a)]. 6556 K(x,y) * ((T(x,y) \ 1) \ T(y,x)) = (T(x,y) \ 1) \ y. [para(5368(a,1),6535(a,1,1))]. 6557 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(87,a,6544,a)]. 6558 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6544(a,1),24(a,1))]. 6559 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6545(a,2),24(a,1))]. 6560 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6557(a,1),5025(a,1,1))]. 6561 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(18(a,1),6560(a,1,1,2,1)),flip(a)]. 6562 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6561(a,2),25(a,1))]. 6563 x * (y * ((z \ (y \ z)) * z)) = (x * K(y \ 1,z)) * z. [hyper(255,a,5118,a(flip),b,5530,a(flip)),flip(a)]. 6564 (x * K(y \ 1,z)) * z = x * (z * K(y \ 1,z)). [para(5224(a,1),6563(a,1,2)),flip(a)]. 6565 R(x,K(y \ 1,z),z) = x. [hyper(3159,a,6564,a)]. 6566 R(x,K(y,z),z) = x. [para(73(a,1),6565(a,1,2,1))]. 6567 R(x,y,K(z,y)) = x. [hyper(6332,a,6566,a)]. 6568 (x * K(y,z)) * z = x * (z * K(y,z)). [para(6566(a,1),3157(a,1,1)),flip(a)]. 6569 (x * y) * K(z,y) = x * (y * K(z,y)). [para(6567(a,1),122(a,1,1)),flip(a)]. 6570 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(87,a,6568,a)]. 6572 L(K(x,y),y,z) = K(x,y). [hyper(422,a,6569,a)]. 6573 (x * K(y,z)) * z = (x * z) * K(y,z). [hyper(255,a,6568,a,b,6569,a),flip(a)]. 6574 (x * y) * K(z,y) = x * ((z * y) / z). [hyper(255,a,5421,a,b,6569,a)]. 6576 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(5268(a,1),6569(a,2,2))]. 6577 L(K(x,y),y,z) = K(x,y * K(x,y)). [hyper(255,a,5392,a,b,6572,a)]. 6579 a(x,y,K(z,y)) = 1. [hyper(39,a,6572,a)]. 6580 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(255,a,6195,a(flip),b,6572,a(flip)),flip(a)]. 6581 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(6572(a,1),50(a,1,1)),flip(a)]. 6583 L(K(x,y),x,z) = K(y,x) \ 1. [para(6572(a,1),6483(a,1,1)),flip(a)]. 6584 a(x,T(y,z),K(z,y)) = 1. [para(4195(a,1),6579(a,1,3))]. 6585 L(K(x,y),T(y,x),z) = K(x,y). [hyper(38,a,6584,a)]. 6586 L(K(x,y),x,z) = K(x,y). [hyper(255,a,5381,a(flip),b,6583,a)]. 6587 L(K(x,y),x,z) != u | K(x,y) = u. [para(6583(a,2),5384(a,1))]. 6588 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(255,a,5256,a,b,6586,a(flip)),flip(a)]. 6589 x \ ((x / y) * T(y,z)) = K(y,z). [hyper(255,a,5260,a(flip),b,6586,a(flip)),flip(a)]. 6591 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(6586(a,1),495(a,1,2,1))]. 6594 (x * T(y,z)) \ (x * y) = K(z,y). [hyper(255,a,5202,a(flip),b,6585,a(flip)),flip(a)]. 6597 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [hyper(255,a,5381,a,b,6580,a)]. 6598 K((x \ y) \ 1,(y \ x) \ 1) = K(y \ x,x \ y). [hyper(255,a,2789,a(flip),b,6580,a)]. 6599 T(K(x,y / z),y) = K(x,z \ y). [hyper(255,a,6088,a,b,6580,a(flip)),flip(a)]. 6602 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(29(a,2),6580(a,1,2,1)),flip(a)]. 6604 K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). [para(114(a,2),6580(a,1,2,1))]. 6605 K(x,L(y,z \ 1,z) \ z) = K(x,((z \ 1) * y) \ 1). [para(383(a,1),6580(a,1,2,1)),flip(a)]. 6606 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(643(a,1),6580(a,1,2,1)),flip(a)]. 6610 K(x,(y \ K(z,u)) \ 1) = K(x,K(u,z) * y). [para(5600(a,1),6580(a,2,2))]. 6611 K(x,y \ z) * K(x * ((z \ y) \ 1),x) = x \ R(x,(z \ y) \ 1,x). [para(6580(a,1),5726(a,1,1))]. 6612 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(6580(a,1),6185(a,1,1)),flip(a)]. 6613 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6580(a,1),5775(a,1,2))]. 6614 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6580(a,1),6358(a,1,1)),flip(a)]. 6615 K(x,y) * K(y,z \ (x * z)) = K(x * z,K(x,y)). [para(6580(a,1),6133(a,1,2))]. 6618 (x * y) * K(y,z) = x * T(y,z). [para(6588(a,1),19(a,1,2))]. 6619 x \ (y * T(y \ x,z)) = K(y \ x,z). [para(19(a,1),6588(a,1,1))]. 6620 ((x / T(y,z)) * y) \ x = K(y,z). [para(21(a,1),6588(a,1,2))]. 6621 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6588(a,1),220(a,1,2)),flip(b)]. 6627 (x * (y / x)) \ (K(x,x \ y) * T(y,z)) = K(y,z). [para(5271(a,1),6588(a,1,1))]. 6629 (x / y) * T(y,z) = x * K(y,z). [para(6589(a,1),19(a,1,2)),flip(a)]. 6631 (x / y) \ (x * K(y,z)) = T(y,z). [para(6589(a,1),65(a,1,2,2))]. 6633 (x * T(y,z)) * K(z,y) = x * y. [para(6594(a,1),19(a,1,2))]. 6634 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(19(a,1),6594(a,1,2))]. 6635 ((x / y) * T(y,z)) \ x = K(z,y). [para(21(a,1),6594(a,1,2))]. 6641 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(6214,a,6618,a)]. 6642 R(x,y,K(y,z)) = x. [hyper(5331,a,6618,a)]. 6643 x * T(x \ y,z) = y * K(x \ y,z). [hyper(519,a,6618,a),flip(a)]. 6645 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(172,a,6618,a,b,19,a),flip(a)]. 6647 x * T(x \ y,z) != u | y * K(x \ y,z) = u. [para(6618(a,1),519(a,1))]. 6649 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(6618(a,1),487(a,1,2))]. 6650 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(6618(a,1),457(a,1,1))]. 6652 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(5175(a,1),6618(a,1,1)),flip(a)]. 6653 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(6618(a,1),6568(a,1,1)),flip(a)]. 6659 (x * T(y,z)) / y = x * K(y,z). [hyper(255,a,1345,a,b,6629,a(flip)),flip(a)]. 6660 (x / T(y,z)) * K(y,z) = x / y. [hyper(255,a,1346,a(flip),b,6629,a(flip))]. 6662 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6629(a,1),860(a,1,2,1))]. 6663 (x * K(y,z)) * y = x * T(y,z). [para(6629(a,1),1343(a,1,1))]. 6664 (x * K(y,z)) \ (x * T(y,z)) = y. [para(6629(a,1),1347(a,1,1))]. 6665 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(6631(a,1),6032(a,1,2))]. 6666 (x * K(y,z)) / z = x / T(z,y). [hyper(535,a,6633,a)]. 6667 (x / T(y,z)) * y = x * K(z,y). [hyper(308,a,6633,a),flip(a)]. 6669 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). [para(6633(a,1),457(a,1,2)),flip(a)]. 6670 (x * K(y,z)) \ x = K(z,y). [para(6629(a,1),6635(a,1,1))]. 6671 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(255,a,6191,a(flip),b,6670,a)]. 6672 (x * K(y,z)) * K(z,y) = x. [para(6670(a,1),19(a,1,2))]. 6673 x / K(y,z) = x * K(z,y). [para(6670(a,1),70(a,1,2))]. 6674 x * K(y,z) != u | u * K(z,y) = x. [para(6670(a,1),94(a,1,2)),flip(b)]. 6675 (x * K(y,z)) * K(z,y) != u | u = x. [para(6670(a,1),220(a,1,2))]. 6677 x / K(y,z) != u | x * K(z,y) = u. [para(6670(a,1),303(a,1,2)),flip(b)]. 6678 L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). [para(6670(a,1),114(a,1,1))]. 6680 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(6670(a,2),5600(a,1,1))]. 6681 (x \ R(x,y,x)) \ K(x * y,x) = K(y,x). [para(5942(a,1),6670(a,1,1))]. 6682 (K(x,y) * z) \ z = T(K(y,x),z). [para(6670(a,1),6303(a,1,1)),flip(a)]. 6683 L(L(K(x,y),z,u),K(y,x),w) = L(K(x,y),z,u). [para(6670(a,1),5398(a,2,1))]. 6684 (x * (y * K(z,u \ 1))) \ (x * y) = K(L(u,y,x) \ 1,z). [para(6190(a,1),6670(a,1,1))]. 6685 (x * (y * K(z,y))) \ (x * y) = K(y,z). [para(6569(a,1),6670(a,1,1))]. 6686 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(172,a,6672,a,b,5608,a)]. 6687 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [hyper(23,a,6102,a,b,6672,a)]. 6688 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(23,a,3604,a,b,6672,a)]. 6689 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(23,a,2075,a,b,6672,a)]. 6692 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y * K(z,u),K(u,z)). [para(6672(a,1),29(a,2,1,2)),flip(a)]. 6693 (x * K(y,z)) \ x != u | K(z,y) = u. [para(6672(a,1),222(a,1,2)),flip(b)]. 6695 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(6672(a,1),112(a,1,1))]. 6697 R(x * K(y,z),K(z,y),u) \ (x * u) = K(z,y) * u. [para(6672(a,1),149(a,1,2,1))]. 6699 (x * K(y,z)) * (y * K(z,y)) = x * y. [para(6672(a,1),6568(a,1,1)),flip(a)]. 6700 x / K(y,z) != x * u | K(z,y) = u. [para(6673(a,2),24(a,1))]. 6701 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(6673(a,1),253(a,1,1))]. 6706 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [hyper(80,a,6641,a(flip),b,5187,a),flip(a)]. 6707 K((x \ y) \ 1,z) = K(y \ x,z). [para(19(a,1),6641(a,1,1,1,1))]. 6709 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(6641(a,1),5334(a,1,2))]. 6712 x \ (y * T(x,z)) = T(y * K(x,z),x). [para(6659(a,1),129(a,1,1)),flip(a)]. 6713 x * T(y * K(x,z),x) = y * T(x,z). [para(6659(a,1),171(a,1,2,1))]. 6714 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(6659(a,1),226(a,1,1)),flip(b)]. 6716 T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. [para(6659(a,1),6157(a,1,1))]. 6718 (x / y) * K(z,y) = x / T(y,z). [hyper(23,a,6672,a,b,6660,a),flip(a)]. 6719 (x * K(y,z)) * y = (x * y) * K(y,z). [hyper(255,a,6618,a,b,6663,a)]. 6722 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(80,a,6629,a(flip),b,6663,a)]. 6723 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(23,a,4695,a(flip),b,6663,a)]. 6724 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6663(a,1),29(a,2,1,2)),flip(a)]. 6725 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(6663(a,1),162(a,2,1))]. 6728 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(5206(a,1),6663(a,1,1))]. 6729 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6663(a,1),5946(a,1,2,1))]. 6730 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(6569(a,1),6663(a,1,1))]. 6731 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(6633(a,1),6663(a,1,1)),flip(a)]. 6732 (x * K(y,z)) * T(z,y) = x * z. [para(6672(a,1),6663(a,1,1)),flip(a)]. 6733 L(x,K(x,y),z) = x. [hyper(5349,a,6664,a)]. 6734 L(T(x,y),K(x,z),u) = T(x,y). [para(6733(a,1),45(a,2,1))]. 6735 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6733(a,1),429(a,1,2,1))]. 6737 L(x * y,K(y * x,z),u) = (y \ (y * x)) * y. [para(6733(a,1),5115(a,1,1,2)),flip(a)]. 6740 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(6734(a,1),50(a,1,1)),flip(a)]. 6741 x \ (y * K(z,x)) = T(y / T(x,z),x). [para(6666(a,1),129(a,1,1)),flip(a)]. 6743 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(6666(a,1),4593(a,1,1,2))]. 6744 T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). [para(6666(a,1),4594(a,1,1,1,2))]. 6745 (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). [para(6666(a,1),6629(a,1,1))]. 6746 x * K(y,z) != u * z | x / T(z,y) = u. [para(6667(a,1),25(a,1))]. 6750 (K(x,y) * z) * T(K(y,x),z) = z. [para(6682(a,1),19(a,1,2))]. 6752 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(6688(a,1),123(a,2,2))]. 6754 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(255,a,6015,a,b,6707,a(flip)),flip(a)]. 6755 T(K(x / y,z),x) = K(y \ x,z). [hyper(255,a,5962,a,b,6707,a(flip)),flip(a)]. 6756 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(255,a,6548,a(flip),b,6707,a(flip)),flip(a)]. 6757 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(255,a,5961,a(flip),b,6707,a(flip))]. 6759 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(37(a,2),6707(a,1,1,1))]. 6761 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(114(a,2),6707(a,1,1,1))]. 6764 T(x,(y \ z) \ 1) = K(z \ y,x) \ x. [para(6707(a,1),5208(a,2,1))]. 6768 T(x,(y \ z) \ x) * K(z \ y,x) = L(x,(y \ z) \ 1,x). [para(6707(a,1),5725(a,1,2))]. 6769 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [para(6707(a,1),6018(a,2,2))]. 6772 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(6707(a,1),5518(a,1,2))]. 6773 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(6707(a,1),6406(a,1,2))]. 6774 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(6707(a,1),6470(a,1,1)),flip(a)]. 6775 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(6707(a,1),6521(a,1,2))]. 6776 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(6707(a,1),6023(a,1,1,2)),flip(a)]. 6777 x / T(y \ x,z) = y * K(z,y \ x). [hyper(302,a,6718,a),flip(a)]. 6778 (x / y) * K(x,y) = T(x,y) / y. [hyper(255,a,4456,a,b,6718,a)]. 6780 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(80,a,6718,a(flip),b,5905,a(flip)),flip(a)]. 6782 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(87,a,6723,a),flip(a)]. 6783 (x \ y) * K(y,x) = x \ T(y,x). [hyper(23,a,6672,a,b,6723,a),flip(a)]. 6784 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(87,a,6732,a)]. 6788 K(x / y,z) * x = x * K(y \ x,z). [para(6755(a,1),127(a,1,2)),flip(a)]. 6790 K(T(x,x \ y),z) = T(K(x,z),y). [para(128(a,2),6757(a,1,1))]. 6791 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(6179,a,6778,a)]. 6792 x \ T(x * y,x) = y * K(x * y,x). [para(18(a,1),6783(a,1,1)),flip(a)]. 6794 T(x,y) * K(y,T(x,y)) != z | z = x. [para(5212(a,1),6675(a,1,1))]. 6795 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(6660(a,1),6675(a,1,1)),flip(b)]. 6797 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5984(a,1),6693(a,1,1))]. 6798 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5986(a,1),6693(a,1,1))]. 6799 (x * (y * K(z,y))) \ (x * y) != u | K(y,z) = u. [para(6569(a,1),6693(a,1,1))]. 6800 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(6095(a,1),6794(a,1))]. 6804 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(686,a,6570,a)]. 6805 L(x,K(y,x),z) = x. [para(3140(a,1),6804(a,1,1))]. 6806 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(6805(a,1),427(a,1,2,1))]. 6807 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(6805(a,1),428(a,1,2,1))]. 6808 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(6805(a,1),429(a,1,2,1))]. 6814 (x * ((y * z) / y)) * K(z,y) = x * z. [hyper(6674,a,6574,a)]. 6816 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(6574(a,1),6663(a,1,1))]. 6817 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(6597(a,2),5384(a,1))]. 6821 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(6619(a,1),439(a,1,1))]. 6823 x \ (y \ ((z \ (y * x)) * z)) = K((y \ z) \ x,z). [para(881(a,1),6619(a,1,2))]. 6826 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(1138(a,1),6634(a,1,1))]. 6827 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(832(a,1),6634(a,1,1))]. 6828 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1638(a,1),6634(a,1,1))]. 6829 T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). [para(2323(a,1),6634(a,1,1))]. 6832 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(6643(a,2),222(a,1,2)),flip(b)]. 6834 (x * K(y \ x,z)) * (y \ 1) = T(x * (y \ 1),z). [para(6643(a,1),973(a,1,1))]. 6837 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(6686(a,1),6101(a,1,1))]. 6838 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(6686(a,1),6800(a,1,1)),flip(b)]. 6839 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(5600(a,2),6687(a,1,1))]. 6840 (x * y) / ((z * y) / z) = x * K(y,z). [hyper(5838,a,6699,a)]. 6841 x / (y * K(z,y)) = (x / y) * K(y,z). [hyper(81,a,21,a(flip),b,6699,a)]. 6847 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(80,a,112,a(flip),b,6731,a)]. 6848 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(6731(a,1),4481(a,1,2))]. 6849 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(255,a,5968,a(flip),b,6759,a(flip))]. 6850 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(255,a,5208,a,b,6764,a)]. 6852 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(6764(a,2),5227(a,1))]. 6854 T(x,(y * z) \ y) = T(x,z \ 1). [para(18(a,1),6850(a,1,2,1)),flip(a)]. 6858 T(x,L(y \ 1,y,z) \ 1) = T(x,z \ (z * y)). [para(162(a,2),6850(a,1,2,1))]. 6861 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(6850(a,1),6159(a,1))]. 6864 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(23,a,3145,a(flip),b,6788,a)]. 6866 (x \ T(x * y,x)) \ (y * K(z,K(x * y,x))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(6792(a,2),5366(a,1,1))]. 6867 (x / ((y * z) / y)) * z = x * K(z,y). [hyper(308,a,6814,a),flip(a)]. 6870 T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u). [para(6837(a,1),43(a,1,1)),flip(a)]. 6871 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(6837(a,1),6800(a,1,1)),flip(b)]. 6873 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(255,a,5438,a(flip),b,6840,a(flip)),flip(a)]. 6874 x / ((y * z) / y) = (x / z) * K(z,y). [hyper(255,a,251,a(flip),b,6840,a(flip)),flip(a)]. 6878 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(5268(a,1),6841(a,1,2)),flip(a)]. 6882 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(4524(a,1),6867(a,1,1,2))]. 6884 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(6674,a,6874,a(flip))]. 6886 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [para(19(a,1),6884(a,1,1,2,1))]. 6891 x \ (R(x,y,x) * T(R(x,y,x) \ (x * K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(6681(a,1),1553(a,2,2,1))]. 6893 (x * ((y * z) / y)) * y != u | (x * z) * T(y,z) = u. [para(6574(a,1),6714(a,1,1))]. 6895 x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. [para(144(a,1),6795(a,1,1))]. 6896 K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u. [para(37(a,2),6817(a,1,2,1))]. 6900 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(6088(a,2),6817(a,1))]. 6901 T(x,T(y,z) \ 1) != u | T(x,(y * z) \ z) = u. [para(37(a,2),6852(a,1,2,1))]. 6902 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(3341(a,1),6900(a,1))]. 6906 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(255,a,2410,a(flip),b,6613,a),flip(a)]. 6907 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(255,a,5413,a(flip),b,6645,a(flip))]. 6908 x * T(y / x,T(x,z)) = T(y,K(x,z)). [para(21(a,1),6907(a,1,1)),flip(a)]. 6909 x \ T(y,K(x,z)) = T(y / x,T(x,z)). [hyper(87,a,6908,a)]. 6911 ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). [hyper(81,a,6730,a(flip),b,122,a)]. 6914 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(255,a,5009,a(flip),b,6769,a(flip)),flip(a)]. 6915 K((x \ 1) \ y,x) = K(x * y,x). [hyper(22,a,6792,a(flip),b,6769,a(flip))]. 6916 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6769(a,1),5026(a,1,1))]. 6917 K((1 / x) \ y,x) = K(x * y,x). [hyper(255,a,5755,a,b,6915,a(flip)),flip(a)]. 6918 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(255,a,3337,a,b,6816,a)]. 6922 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(6666(a,1),6882(a,1,1)),flip(a)]. 6927 L(x * y,K(y * x,z),u) = x * y. [para(18(a,1),6737(a,2,1))]. 6928 (x * K(y * z,u)) * (z * y) = x * (K(y * z,u) * (z * y)). [para(6927(a,1),112(a,1,2))]. 6929 (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. [para(6740(a,1),224(a,1,2))]. 6931 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(881(a,1),6832(a,1,2))]. 6933 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(832(a,1),6832(a,1,2))]. 6934 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(5513(a,1),6832(a,1))]. 6936 T(K(x / y,z),x) != u | K(y \ x,z) = u. [para(5962(a,2),6934(a,1))]. 6939 K(x / y,x) != z | K(y \ x,x) = z. [para(3139(a,1),6936(a,1))]. 6941 T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. [para(5608(a,1),6838(a,1,1))]. 6942 T(x,L(y \ 1,y,z) \ 1) = T(x,y). [para(18(a,1),6858(a,2,2))]. 6943 T(x,x \ T(x * y,y \ 1)) = T(x,y). [hyper(255,a,6242,a,b,6942,a(flip)),flip(a)]. 6945 T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,y). [para(21(a,1),6943(a,1,2,2,1))]. 6947 T(x * T(y,z),K(z,y)) != u | K(y,z) * (x * y) = u. [para(6618(a,1),6871(a,1,1))]. 6949 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(3052(a,1),6612(a,1,2,1)),flip(a)]. 6950 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(37(a,2),6615(a,1,2,2))]. 6951 T(K(x,y),y * z) = K(x,T(y,z)). [hyper(22,a,6090,a,b,6950,a),flip(a)]. 6952 T(K(x,y),z * y) = K(x,T(y,z)). [hyper(255,a,6298,a,b,6951,a(flip)),flip(a)]. 6953 K(x,T(y,y \ z)) = T(K(x,y),z). [para(19(a,1),6951(a,1,2)),flip(a)]. 6954 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(6951(a,1),127(a,1,2))]. 6955 K(x,y) * K(y,T(x,z)) != u | K(x * z,K(x,y)) = u. [para(6951(a,1),6116(a,1,2))]. 6956 K(x,T(y,z / y)) = T(K(x,y),z). [para(21(a,1),6952(a,1,2)),flip(a)]. 6957 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(255,a,5900,a(flip),b,6954,a)]. 6958 K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). [hyper(255,a,5053,a,b,6652,a),flip(a)]. 6960 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(162(a,2),6706(a,1,1,1))]. 6965 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(5147(a,1),6754(a,1,2))]. 6966 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(6934,a,6756,a),flip(a)]. 6967 (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. [hyper(6674,a,6772,a)]. 6968 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))). [para(6772(a,1),4154(a,1,2,2)),flip(a)]. 6970 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(22,a,6773,a,b,6775,a)]. 6971 (x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z). [para(6775(a,1),6670(a,1,1))]. 6972 1 / K((x * y) \ z,x) = K(x,(y * x) \ z). [para(6970(a,1),5394(a,1,2))]. 6973 K(x,(y * x) \ z) = K(x,(x * y) \ z). [hyper(5395,a,6972,a),flip(a)]. 6974 K(x,(y * x) \ z) != u | K(x,(x * y) \ z) = u. [para(6972(a,1),5395(a,1))]. 6975 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5726(a,1),6791(a,1,2))]. 6976 R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). [para(6975(a,1),160(a,2,2))]. 6977 R(x,K(y,z),T(z,u)) = x. [hyper(454,a,6806,a)]. 6978 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [hyper(5918,a,6834,a)]. 6980 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5763(a,1),6914(a,2,2))]. 6981 T(x / y,(x / y) \ T(x,y \ 1)) = y \ x. [hyper(255,a,129,a(flip),b,6945,a)]. 6982 T(x,y \ 1) / (y \ x) = (x / y) \ T(x,y \ 1). [para(6981(a,1),199(a,1,2))]. 6983 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(255,a,6823,a(flip),b,6965,a(flip))]. 6984 (x \ y) * K((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(6967(a,1),6675(a,1,1)),flip(b)]. 6985 T(x,(y \ 1) \ 1) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(3371(a,1),6982(a,2,2))]. 6986 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [hyper(255,a,6612,a(flip),b,6604,a(flip)),flip(a)]. 6987 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(6587,a,6986,a),flip(a)]. 6988 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(19(a,1),6986(a,2,2,1))]. 6989 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(19(a,1),6986(a,2,2,2))]. 6990 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(73(a,1),6986(a,1,1,2)),flip(a)]. 6991 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(114(a,2),6986(a,2,2))]. 6992 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(19(a,1),6987(a,1,2,1)),flip(a)]. 6994 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [para(6987(a,1),5252(a,2,2))]. 6995 K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). [para(5608(a,1),6987(a,1,2,1)),flip(a)]. 6996 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(255,a,6439,a(flip),b,6992,a(flip))]. 6997 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(6293(a,2),6992(a,1,2,1))]. 6998 K(x,L(y \ z,y,K(z,u))) = K(x,y \ z). [hyper(255,a,4398,a(flip),b,6991,a(flip))]. 6999 L(K(x,y \ z),z,y \ 1) = K(x,(1 / y) * z). [para(3052(a,1),6991(a,2,2))]. 7000 K(x,(K(y,z) * u) \ T(y,z)) = K(x,u \ y). [para(5345(a,1),6998(a,1,2))]. 7001 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(255,a,5252,a,b,6994,a)]. 7002 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(19(a,1),7001(a,1,2,1)),flip(a)]. 7004 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(6988(a,1),45(a,2,1))]. 7005 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(6988(a,1),112(a,1,2))]. 7006 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(19(a,1),6990(a,1,2,2))]. 7007 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(116(a,2),6990(a,1,2))]. 7008 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [hyper(255,a,6483,a,b,7007,a)]. 7009 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(20(a,1),7007(a,1,2,2)),flip(a)]. 7010 L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)). [para(6659(a,1),7007(a,1,2,2)),flip(a)]. 7011 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(5004,a,7009,a),flip(a)]. 7012 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(255,a,6581,a,b,7009,a(flip)),flip(a)]. 7015 T(x,K(y,L(x,z,u))) = x. [para(7009(a,1),3223(a,1,2))]. 7017 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(7008(a,2),6486(a,1))]. 7018 L(K(x,y \ z),z,y \ 1) = K(x,(y \ 1) * z). [hyper(255,a,5807,a(flip),b,6999,a)]. 7019 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). [para(437(a,1),7011(a,1,2)),flip(a)]. 7020 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(7009(a,1),7012(a,1,1))]. 7021 K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. [para(70(a,1),7017(a,1,2,2))]. 7022 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(116(a,1),7017(a,1,2))]. 7024 (x * K(y,z)) \ (x * T(y,u)) = K(z,y) * T(y,u). [para(6977(a,1),6697(a,1,1))]. 7025 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [para(7024(a,1),298(a,1,2))]. 7026 (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). [para(3360(a,1),7025(a,1,2)),flip(a)]. 7027 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(5540(a,1),7025(a,1,2)),flip(a)]. 7028 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(5541(a,1),7025(a,1,2)),flip(a)]. 7029 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(7028(a,1),6663(a,1,1)),flip(a)]. 7030 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(255,a,6774,a(flip),b,6761,a(flip)),flip(a)]. 7031 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(255,a,5889,a(flip),b,7030,a)]. 7032 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(19(a,1),7030(a,2,1,1))]. 7033 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(19(a,1),7030(a,2,1,2))]. 7034 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(73(a,1),7030(a,1,1,1)),flip(a)]. 7035 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(127(a,1),7030(a,2,1,2))]. 7036 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(114(a,2),7030(a,2,1))]. 7037 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(5608(a,1),7030(a,2,1,1))]. 7038 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(6915(a,1),7030(a,1,1))]. 7039 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(1977(a,2),7036(a,2,1))]. 7040 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(3052(a,1),7036(a,2,1))]. 7041 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(255,a,7020,a(flip),b,7032,a(flip)),flip(a)]. 7042 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(255,a,6988,a(flip),b,7032,a(flip)),flip(a)]. 7043 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(255,a,6572,a(flip),b,7032,a(flip)),flip(a)]. 7044 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(116(a,2),7034(a,1,1))]. 7045 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(255,a,33,a(flip),b,7044,a)]. 7046 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(20(a,1),7044(a,1,1,2)),flip(a)]. 7047 K(L(x,y,z),y * x) = K(x,y * x). [hyper(255,a,6572,a(flip),b,7046,a(flip))]. 7048 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(7046(a,1),485(a,1,2))]. 7049 K(L(x,y,z),y * x) = K(x,x * y). [hyper(255,a,5842,a(flip),b,7047,a)]. 7050 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [hyper(5004,a,7040,a),flip(a)]. 7051 L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z). [hyper(255,a,5756,a(flip),b,7040,a)]. 7052 K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). [para(70(a,1),7050(a,1,1,1)),flip(a)]. 7053 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(6677,a,7048,a)]. 7054 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(7048(a,1),6700(a,1)),flip(a)]. 7056 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(6848(a,1),636(a,1))]. 7057 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [hyper(255,a,5816,a(flip),b,6949,a)]. 7058 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1723(a,1),6960(a,2,2))]. 7063 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(114(a,1),7021(a,1,2))]. 7064 K(x,(y * z) \ u) != w | L(K(x,z \ (y \ u)),y \ u,y) = w. [para(241(a,1),7021(a,1,2))]. 7065 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(255,a,6745,a(flip),b,7029,a(flip)),flip(a)]. 7066 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(255,a,3764,a(flip),b,7033,a(flip))]. 7067 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(7033(a,1),418(a,1,2)),flip(a)]. 7068 L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). [para(6915(a,1),7033(a,1,1))]. 7069 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6983(a,1),7033(a,1,1))]. 7070 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(255,a,5416,a,b,7066,a(flip)),flip(a)]. 7071 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(7045(a,2),431(a,1))]. 7072 K(L(x \ y,x,z),u) != w | L(K(x \ y,u),y,z) = w. [para(70(a,1),7071(a,1,1,2))]. 7073 K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1). [para(73(a,1),7057(a,1,1,2)),flip(a)]. 7074 K((x * y) \ (x * z),u) != w | L(K(y \ z,u),z,x) = w. [para(114(a,1),7072(a,1,1))]. 7075 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2545(a,2),6606(a,1,2))]. 7076 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(6475(a,1),6671(a,1,1,2))]. 7077 (x * L(K(y,z),u,w)) * L(K(z,y),u,w) = x. [para(7076(a,1),19(a,1,2))]. 7078 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(7076(a,1),70(a,1,2))]. 7079 x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. [para(7076(a,1),94(a,1,2)),flip(b)]. 7081 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(112(a,1),7076(a,1,1))]. 7082 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(418(a,1),7076(a,1,1))]. 7083 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(209,a,7077,a),flip(a)]. 7084 x / L(L(K(y,z),u,w),K(z,y),v5) = x * L(K(z,y),u,w). [para(6683(a,2),7078(a,1,2))]. 7085 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(7083(a,1),24(a,1)),flip(a)]. 7086 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(7083(a,1),222(a,1,2)),flip(b)]. 7088 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(80,a,6776,a(flip),b,6643,a(flip))]. 7089 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(73(a,1),7088(a,1,2,1,2,1)),flip(a)]. 7090 R(x,K(y,z),R(z,u,w)) = x. [hyper(454,a,6807,a)]. 7091 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(255,a,6701,a(flip),b,7090,a(flip)),flip(a)]. 7092 R(x,K(y,z),L(z,u,w)) = x. [hyper(454,a,6808,a)]. 7093 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (y \ z)) \ u). [para(881(a,1),6827(a,1,1,2))]. 7094 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(832(a,1),6827(a,1,1,2))]. 7095 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1743(a,1),6827(a,1,1,2))]. 7096 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(255,a,45,a,b,6847,a)]. 7101 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1423(a,1),6996(a,1,2)),flip(a)]. 7102 (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. [para(7026(a,1),3989(a,1,1)),flip(a)]. 7103 ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). [hyper(80,a,7052,a(flip),b,2516,a)]. 7104 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(5216(a,1),7096(a,2,1))]. 7105 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(449(a,2),6602(a,1,2))]. 7106 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(255,a,7081,a(flip),b,6678,a)]. 7107 K(L(x,y,z) \ 1,u) != w | L(K(x \ 1,u),y,z) = w. [para(6684(a,1),7086(a,1))]. 7108 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(6725(a,2),5453(a,1))]. 7109 T(x,y \ (z * x)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(7002(a,1),6768(a,1,1))]. 7110 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(6965(a,1),6931(a,1))]. 7113 (x / (K(y,z) * L(K(z,y),u,w))) * K(y,z) = x * L(K(y,z),u,w). [hyper(255,a,316,a(flip),b,7084,a(flip)),flip(a)]. 7114 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(73(a,1),6828(a,1,1,1,2,1))]. 7115 K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). [para(5547(a,1),6829(a,1,1,1)),flip(a)]. 7116 (x * K(y * z,u)) * (z * y) = x * (K(z,y) * T(y * z,u)). [para(6958(a,1),6928(a,2,2))]. 7117 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(3371(a,1),6985(a,1,1))]. 7118 ((x / (y \ 1)) \ T(x,y)) \ T(x,y) = (y \ 1) \ x. [para(7117(a,1),73(a,1,1))]. 7119 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(7005(a,1),24(a,1)),flip(a)]. 7120 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(59(a,1),7042(a,2,1))]. 7121 K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). [para(1309(a,1),7042(a,2,1))]. 7122 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(7067(a,2),6693(a,1,1))]. 7124 T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). [para(7115(a,2),19(a,1,2))]. 7125 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [hyper(255,a,5608,a(flip),b,7116,a)]. 7126 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(23,a,6197,a,b,7125,a),flip(a)]. 7127 (x * y) * (K(y,x) * K(y * x,z)) = T(y * x,z). [para(7126(a,1),19(a,1,2))]. 7129 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(6653(a,1),5636(a,1,1))]. 7130 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(466,a,7129,a),flip(a)]. 7131 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5608(a,1),5663(a,1,2,2)),flip(a)]. 7132 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6382(a,1),5868(a,1,1))]. 7133 (1 / x) * (L(x,y,z) \ x) = 1 / L(x,y,z). [hyper(255,a,6192,a(flip),b,6188,a(flip))]. 7136 (1 / x) * ((L(x,y,z) \ 1) * x) = T(1 / L(x,y,z),x). [para(7133(a,1),1432(a,1,1)),flip(a)]. 7137 (x \ 1) \ T(1 / L(x,y,z),x) = (L(x,y,z) \ 1) * T(x,x \ 1). [hyper(80,a,7136,a(flip),b,3087,a)]. 7139 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(255,a,325,a(flip),b,6473,a)]. 7141 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(1150(a,1),7139(a,1,2))]. 7142 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(42,a,7141,a)]. 7143 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(40,a,7142,a)]. 7144 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(1153(a,2),7143(a,1,1))]. 7145 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(7144(a,1),4423(a,1,2)),flip(a)]. 7146 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(255,a,3739,a(flip),b,7145,a)]. 7147 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(1153(a,1),7146(a,1,1))]. 7148 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4564(a,1),6554(a,1,1)),flip(a)]. 7149 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(255,a,4141,a(flip),b,7148,a)]. 7150 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(23,a,5444,a,b,7149,a)]. 7151 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(255,a,5736,a,b,7150,a)]. 7152 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4624(a,1),7151(a,1,2))]. 7153 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(7152(a,1),73(a,1,1))]. 7154 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5736(a,1),7153(a,1,1))]. 7155 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(5217(a,2),7154(a,1,1,2))]. 7156 ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). [para(6663(a,1),6911(a,1,2))]. 7157 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [hyper(466,a,7156,a),flip(a)]. 7158 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [para(5268(a,1),7157(a,1,2)),flip(a)]. 7163 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(255,a,7033,a(flip),b,7069,a(flip))]. 7164 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(19(a,1),7163(a,2,1,1))]. 7165 K(((x \ y) * x) \ z,y) = K(y \ z,y). [para(70(a,1),7164(a,1,1,1,2))]. 7166 T(x,((y \ x) * y) \ z) = (u * K(x \ z,x)) \ (u * x). [para(7165(a,1),6784(a,1,1,2)),flip(a)]. 7167 T(x,((y \ x) * y) \ z) = T(x,x \ z). [hyper(255,a,5204,a,b,7166,a)]. 7168 T(x,x \ T(y,y \ x)) = T(x,x \ y). [para(6064(a,1),7167(a,1,2))]. 7169 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(7168(a,1),199(a,1,2))]. 7170 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [hyper(255,a,601,a(flip),b,7169,a(flip)),flip(a)]. 7171 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [hyper(255,a,5639,a(flip),b,7170,a(flip))]. 7172 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5683(a,1),5356(a,1,2))]. 7173 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(6282(a,1),5648(a,1,1))]. 7174 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(255,a,4829,a(flip),b,7173,a(flip))]. 7175 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1424(a,1),7174(a,1,2,1))]. 7176 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [para(7175(a,1),73(a,1,1)),flip(a)]. 7177 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(313,a,7176,a)]. 7178 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(87,a,7176,a)]. 7179 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(7176(a,1),3455(a,1,2)),flip(a)]. 7180 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5774(a,1),5776(a,1,1))]. 7183 (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). [para(3702(a,1),7180(a,1,1,2)),flip(a)]. 7184 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3702(a,1),7183(a,1,2)),flip(a)]. 7186 K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). [hyper(255,a,6050,a(flip),b,6016,a(flip))]. 7187 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(255,a,6707,a(flip),b,7186,a)]. 7188 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(6934,a,7187,a)]. 7189 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(7188(a,1),5394(a,1,2)),flip(a)]. 7190 x / K(y \ x,T(x,z)) != u | T(x,T(y,z) \ T(x,z)) = u. [para(7188(a,1),5201(a,1,2))]. 7191 K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). [hyper(255,a,5394,a(flip),b,7189,a)]. 7192 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(19(a,1),6233(a,1,1,2,2,1))]. 7193 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(255,a,5786,a(flip),b,7192,a)]. 7194 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(7193(a,1),474(a,1,1))]. 7195 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(6386(a,1),6384(a,1,1))]. 7196 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(6458(a,1),19(a,1,2))]. 7197 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(255,a,49,a(flip),b,6498,a)]. 7198 x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). [para(5184(a,2),6514(a,1,2)),flip(a)]. 7199 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(255,a,5286,a(flip),b,7198,a)]. 7200 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(3481(a,1),7199(a,1,2))]. 7201 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [para(7200(a,1),73(a,1,1))]. 7202 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(4395(a,1),6523(a,1,1)),flip(a)]. 7203 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(6146,a,7202,a)]. 7205 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(73(a,1),7203(a,1,1,2,1)),flip(a)]. 7206 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(120(a,2),7203(a,1,1))]. 7207 K(R(x,x \ 1,y),z) = K(x,z). [hyper(255,a,332,a(flip),b,7206,a)]. 7208 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(18(a,1),7206(a,1,1,2)),flip(a)]. 7209 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(7206(a,2),122(a,1,1))]. 7210 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5555(a,1),7206(a,1,1,2))]. 7211 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(7206(a,1),6670(a,1,1,2)),flip(a)]. 7212 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [hyper(255,a,6327,a(flip),b,7207,a)]. 7213 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(7208(a,1),51(a,1,1)),flip(a)]. 7214 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(21(a,1),7205(a,2,1,2))]. 7215 K((x * y) / z,x) = K(x / (z / y),x). [hyper(255,a,5911,a(flip),b,7214,a(flip))]. 7216 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(255,a,6128,a(flip),b,7215,a)]. 7217 K((x * y) / z,x) != u | K((z / y) \ x,x) = u. [para(7215(a,2),6939(a,1))]. 7218 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(255,a,6377,a(flip),b,7211,a(flip))]. 7219 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [para(7218(a,1),19(a,1,2))]. 7221 K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. [para(5561(a,1),6524(a,1,1,1)),flip(a)]. 7222 K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). [hyper(255,a,5007,a(flip),b,7221,a)]. 7223 K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). [hyper(255,a,5786,a(flip),b,7222,a(flip)),flip(a)]. 7224 K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). [para(4752(a,1),7223(a,1,2))]. 7225 K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). [hyper(255,a,7089,a,b,7224,a),flip(a)]. 7226 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(686,a,6528,a)]. 7227 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(7226(a,1),6477(a,1,1,1)),flip(a)]. 7228 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(255,a,5967,a(flip),b,7227,a)]. 7229 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(5147(a,1),7095(a,1,1,2))]. 7230 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(6629(a,1),7114(a,1,1,1)),flip(a)]. 7231 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(7230(a,2),19(a,1,2))]. 7232 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)). [para(6735(a,1),7230(a,2,1))]. 7233 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(7231(a,1),6670(a,1,1)),flip(a)]. 7234 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(6722(a,1),7231(a,1,2,2))]. 7235 R(x * K(y,z),K(y,u),K(z,y)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(80,a,7234,a(flip),b,122,a)]. 7236 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(6672(a,1),7234(a,1,1,1))]. 7237 ((x * K(y,z)) * K(z,u)) / (K(z,u) * K(y,z)) = R(x,K(z,u),K(y,z)). [hyper(81,a,7236,a(flip),b,122,a)]. 7238 (x * y) \ ((x * K(z \ x,u)) * y) = K((z * y) \ (x * y),u). [para(70(a,1),7233(a,1,1,1,1)),flip(a)]. 7239 (x * y) * K((z * y) \ (x * y),u) = (x * K(z \ x,u)) * y. [para(7238(a,1),19(a,1,2))]. 7240 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(22,a,6573,a(flip),b,7239,a)]. 7242 (x * (y * K(z \ u,y))) \ (x * y) = K(y,(z * y) \ (u * y)). [para(7240(a,1),6685(a,1,1,2,2))]. 7244 K(x,(y * x) \ (z * x)) = K(x,y \ z). [hyper(6799,a,7242,a),flip(a)]. 7245 K(x,(x * y) \ (z * x)) = K(x,y \ z). [hyper(6974,a,7244,a)]. 7246 K(x,(y / x) \ z) = K(x,y \ (z * x)). [para(21(a,1),7244(a,1,2,1)),flip(a)]. 7247 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [para(19(a,1),7245(a,1,2,1)),flip(a)]. 7248 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [para(7246(a,1),6989(a,1,1))]. 7249 K(x,(y / x) \ z) = K(x,(x \ y) \ z). [hyper(255,a,7246,a,b,7247,a),flip(a)]. 7250 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(18(a,1),7247(a,1,2)),flip(a)]. 7251 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(7247(a,1),6989(a,1,1))]. 7252 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [hyper(255,a,3312,a,b,7248,a)]. 7253 L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(2374(a,2),7248(a,2,2,1,2))]. 7254 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(255,a,7248,a(flip),b,7251,a(flip)),flip(a)]. 7255 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(7254(a,1),5602(a,1,2,2))]. 7256 L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(7254(a,1),6989(a,1,1))]. 7257 (L(x,y,z) \ 1) * T(x,x \ 1) = (x \ 1) \ (L(x,y,z) \ 1). [para(6328(a,1),7137(a,1,2)),flip(a)]. 7258 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(255,a,5089,a(flip),b,7257,a(flip))]. 7259 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(3196,a,7258,a)]. 7260 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [para(7258(a,1),19(a,1,2))]. 7261 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(255,a,7147,a,b,7260,a),flip(a)]. 7262 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2564,a,7261,a)]. 7263 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(5272(a,1),7172(a,1,2,2)),flip(a)]. 7264 L(L(x,y,z),z * y,K(y,z)) = L(x,T(y,z),z). [hyper(255,a,178,a(flip),b,7263,a)]. 7266 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(255,a,7093,a(flip),b,7229,a(flip))]. 7267 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(19(a,1),7266(a,2,2,1))]. 7268 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(70(a,1),7266(a,1,2,1,2)),flip(a)]. 7269 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(314(a,1),7268(a,1,2,1)),flip(a)]. 7270 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(6667(a,1),7269(a,1,2,1))]. 7271 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(5203(a,1),7270(a,1,2,1)),flip(a)]. 7272 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(7255(a,1),5694(a,1))]. 7273 L(T(x,y),T(z,x),K(x,z)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(5182(a,2),5231(a,1,1,3))]. 7274 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [para(5910(a,1),7273(a,1,1)),flip(a)]. 7275 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(5538(a,2),7274(a,1,2))]. 7278 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(5439(a,1),703(a,2,1)),flip(a)]. 7279 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5828,a,7278,a)]. 7280 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(5441(a,1),918(a,1,1,1))]. 7281 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(848(a,1),5529(a,1,2))]. 7282 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(775(a,2),5644(a,1,2,2,1))]. 7283 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(5906(a,1),5914(a,1,2))]. 7284 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. [hyper(255,a,127,a(flip),b,6339,a)]. 7287 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(3837(a,2),6340(a,2,2))]. 7288 ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). [para(1299(a,1),6350(a,1,2))]. 7289 K((x / y) \ 1,z \ (y / x)) = K(y / x,((z * x) / y) \ 1). [hyper(255,a,6001,a(flip),b,6401,a(flip)),flip(a)]. 7290 K((x / y) \ 1,z \ (y / x)) = K(y / x,y / (z * x)). [hyper(255,a,5786,a(flip),b,7289,a)]. 7292 K(x / y,x / (z * y)) != u | K(x / y,z \ (x / y)) = u. [para(7290(a,1),6146(a,1))]. 7293 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(4177(a,1),6503(a,2,2))]. 7294 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(255,a,4183,a(flip),b,7293,a(flip))]. 7295 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3371(a,1),7294(a,1,2,2)),flip(a)]. 7296 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(3371(a,1),7295(a,1,1,1)),flip(a)]. 7297 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [para(7296(a,1),73(a,1,1))]. 7298 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(129(a,1),7297(a,1,1,1,1))]. 7299 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(129(a,1),7298(a,2,2))]. 7300 K(x,y \ z) * K((z \ y) \ x,x) = x \ R(x,(z \ y) \ 1,x). [para(5734(a,1),6611(a,1,2))]. 7301 K(x,y \ z) * K(y \ (z * x),x) = x \ R(x,(z \ y) \ 1,x). [para(7043(a,1),7300(a,1,2))]. 7302 (x * (y * T(z,y))) \ ((x * y) * T(z,y)) = a(x,y * K(z,y),z). [para(6730(a,1),6724(a,1,2))]. 7303 a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. [para(7302(a,1),636(a,1))]. 7304 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6821(a,2),6933(a,1))]. 7305 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(7082(a,1),7122(a,1))]. 7306 L(K(x,y),z \ u,z) != w | K(x,(z * ((z \ u) / y)) \ u) = w. [para(73(a,1),7305(a,1,1,2))]. 7308 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (y / x)) \ u) = w. [para(7246(a,1),7305(a,1,1))]. 7309 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. [para(7247(a,1),7305(a,1,1))]. 7310 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(255,a,7208,a(flip),b,7195,a(flip))]. 7311 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(7310(a,1),5605(a,1,2,1)),flip(a)]. 7312 R(x,K(y,z),K(u,y)) = R(x,K(u,y),K(y,z)). [hyper(2087,a,7237,a),flip(a)]. 7313 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(2216(a,1),7282(a,1,2))]. 7314 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(255,a,7284,a(flip),b,7287,a(flip))]. 7315 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [para(7314(a,1),73(a,1,1))]. 7316 R(x,K(y \ 1,z),y) != u | R(x,y,K(y \ 1,z)) = u. [para(7288(a,1),466(a,1))]. 7317 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(7311(a,2),5613(a,1))]. 7318 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). [para(3989(a,1),4913(a,1,2,1)),flip(a)]. 7319 T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). [hyper(255,a,5103,a(flip),b,7318,a(flip))]. 7321 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(80,a,5294,a(flip),b,5225,a),flip(a)]. 7322 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(5380(a,1),5908(a,1,1))]. 7323 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3461(a,1),6134(a,1,3))]. 7324 T(x,y) \ (1 / (1 / T((T(z,x) * x) / T(z,x),y))) = (T(T(x,z),y) \ 1) * T(x,y). [para(4459(a,1),6325(a,2,1,1))]. 7325 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(6107(a,1),6344(a,1,2))]. 7326 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(73(a,1),6549(a,1,1,1,1,2)),flip(a)]. 7327 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6707(a,1),7326(a,1,2))]. 7328 K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). [hyper(22,a,3974,a,b,7327,a),flip(a)]. 7329 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5763(a,1),7327(a,1,2))]. 7330 K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). [para(70(a,1),7328(a,2,1,2))]. 7331 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). [hyper(255,a,3879,a,b,7330,a(flip)),flip(a)]. 7332 (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). [para(3187(a,1),7331(a,1,1,2))]. 7333 K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). [hyper(4043,a,7332,a),flip(a)]. 7334 K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). [para(128(a,2),7333(a,1,2,2))]. 7335 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). [hyper(255,a,5891,a(flip),b,7334,a(flip))]. 7336 K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). [hyper(255,a,7019,a(flip),b,7335,a(flip))]. 7337 K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). [hyper(255,a,7328,a,b,7336,a(flip)),flip(a)]. 7338 (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). [para(935(a,1),6550(a,1,1))]. 7339 (1 / x) * ((x \ y) \ T((x \ y) * x,x)) = (x \ T(y,x)) * ((x \ y) \ 1). [para(1677(a,1),7338(a,1,1)),flip(a)]. 7343 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6618(a,1),6650(a,1,2)),flip(a)]. 7344 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(255,a,35,a,b,7343,a)]. 7345 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(7343(a,2),466(a,1))]. 7346 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(255,a,51,a,b,7344,a(flip)),flip(a)]. 7347 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(6041(a,1),6980(a,2,2))]. 7348 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(127(a,1),7094(a,1,1,2,2))]. 7349 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(5145(a,2),7348(a,1,1))]. 7350 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(5311(a,1),7104(a,1,1,2))]. 7351 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(5284(a,1),7350(a,1,2,2))]. 7352 (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(7259(a,1),4020(a,2,1)),flip(a)]. 7353 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(7251(a,1),7308(a,1))]. 7354 K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. [para(7248(a,1),7309(a,1))]. 7355 (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). [para(5060(a,1),7339(a,1,2)),flip(a)]. 7356 K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). [hyper(255,a,5442,a,b,7355,a),flip(a)]. 7357 (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). [para(18(a,1),7356(a,2,2,1)),flip(a)]. 7358 (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). [para(5600(a,1),7357(a,1,2))]. 7359 K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). [para(7224(a,2),7358(a,1,1))]. 7360 K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). [para(17(a,1),7359(a,1,2))]. 7361 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(255,a,7329,a(flip),b,7347,a)]. 7362 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(255,a,5055,a(flip),b,5068,a(flip))]. 7363 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(4058(a,2),5070(a,1,1))]. 7366 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(6086(a,1),6089(a,1,3)),flip(a)]. 7367 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(7366(a,1),25(a,1))]. 7368 ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). [hyper(5484,a,6330,a),flip(a)]. 7369 (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). [para(1952(a,1),7368(a,1,1))]. 7370 (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. [hyper(255,a,6449,a(flip),b,7369,a)]. 7371 (R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1. [hyper(255,a,6452,a(flip),b,7370,a(flip)),flip(a)]. 7372 T(R(x,y,z) \ x,x \ 1) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(172,a,7371,a,b,19,a)]. 7374 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(255,a,6136,a(flip),b,7372,a)]. 7375 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(41,a,7374,a)]. 7376 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(7375(a,1),5309(a,1,1,1))]. 7377 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). [para(7376(a,1),2168(a,1,1)),flip(a)]. 7378 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(255,a,5786,a(flip),b,6397,a)]. 7379 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(255,a,6363,a(flip),b,7378,a(flip)),flip(a)]. 7380 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(5583(a,1),7379(a,1,1))]. 7381 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(255,a,7208,a(flip),b,7380,a(flip))]. 7382 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(19(a,1),7381(a,1,2,1,1)),flip(a)]. 7383 K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). [para(5904(a,1),7381(a,1,2,1))]. 7384 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(255,a,7206,a(flip),b,7382,a(flip))]. 7387 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(6741(a,1),6743(a,2,2))]. 7388 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(18(a,1),7280(a,2,1,1))]. 7389 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(5116(a,2),7362(a,1,2))]. 7390 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(230,a,7363,a),flip(a)]. 7391 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(7070(a,1),7390(a,2,1))]. 7392 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(7391(a,1),6237(a,1,2)),flip(a)]. 7393 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(255,a,5605,a(flip),b,7392,a)]. 7395 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(255,a,6429,a(flip),b,7393,a(flip)),flip(a)]. 7396 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(255,a,5585,a(flip),b,7393,a(flip)),flip(a)]. 7397 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(255,a,6402,a,b,7396,a(flip)),flip(a)]. 7398 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [hyper(255,a,4672,a(flip),b,7387,a)]. 7399 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(224,a,7389,a),flip(a)]. 7400 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(7397(a,1),7399(a,2,2))]. 7402 (x \ (y * (T(z,x) \ z))) * x = ((x \ y) * x) * (T(z,x) \ z). [para(167(a,1),5052(a,1,1)),flip(a)]. 7404 ((x \ y) * x) * (T(z,x) \ z) = (x \ (y * K(x,z))) * x. [para(5177(a,2),7402(a,1,1,2,2)),flip(a)]. 7405 (x \ (y * K(x,z))) * x = ((x \ y) * x) * K(x,z). [para(5177(a,2),7404(a,1,2)),flip(a)]. 7407 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(23,a,6719,a,b,7405,a)]. 7408 x * ((x \ y) * K(x,z)) = y * K(x,z). [para(7407(a,1),19(a,1,2))]. 7410 (x * y) * K(x,z) = x * (y * K(x,z)). [para(18(a,1),7408(a,1,2,1)),flip(a)]. 7411 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(7119,a,7410,a),flip(a)]. 7412 R(x,y,K(x,z)) = x. [hyper(454,a,7410,a)]. 7413 L(K(x,y),z,x) = K(x,y). [hyper(422,a,7410,a)]. 7416 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(7410(a,1),6663(a,1,1))]. 7417 R(T(x,y),z,K(x,u)) = T(x,y). [para(7412(a,1),47(a,2,1))]. 7418 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(7412(a,1),51(a,1,1)),flip(a)]. 7419 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(7412(a,1),459(a,1,1,1)),flip(a)]. 7420 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(7412(a,1),460(a,1,1,1)),flip(a)]. 7421 R(K(x,y),z,K(y,u)) = K(x,y). [para(7412(a,1),6377(a,1,2)),flip(a)]. 7424 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(7305,a,7413,a)]. 7426 a(x,y,K(x,z)) = 1. [hyper(39,a,7413,a)]. 7427 K(L(x,y,x),z) = K(x,z). [hyper(255,a,7046,a(flip),b,7413,a(flip)),flip(a)]. 7428 K(x,L(y,z,x)) = K(x,y). [hyper(255,a,7009,a(flip),b,7413,a(flip)),flip(a)]. 7431 K(T(x / (x / y),x),z) = K(y,z). [para(4593(a,2),7427(a,1,1))]. 7432 K(R(x,y,x),z) = K(x,z). [para(4816(a,1),7427(a,1,1)),flip(a)]. 7433 T(x,L(y,z,y)) = x / K(y,x). [para(7427(a,1),5197(a,2,2))]. 7434 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(7427(a,1),5336(a,1,1))]. 7435 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(50(a,1),7428(a,1,2))]. 7436 K(x,(x \ 1) \ y) = K(x,x * y). [para(437(a,1),7428(a,1,2)),flip(a)]. 7437 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(677(a,1),7428(a,1,2)),flip(a)]. 7438 L(x * K(y,x),z,y) = L(x,z,y) * K(y,x). [para(7428(a,1),5984(a,1,2)),flip(a)]. 7439 K(x,K(y,L(z,u,x))) = K(x,K(y,z)). [para(7009(a,1),7428(a,1,2))]. 7440 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(7428(a,1),7046(a,1,1)),flip(a)]. 7441 K(x,(y * (x / y)) \ (x * z)) = K(x,K(y \ x,y) * z). [para(7131(a,1),7428(a,1,2))]. 7442 R(K(x,y),z,x) = K(x,y). [hyper(255,a,7206,a(flip),b,7432,a(flip)),flip(a)]. 7443 K(T(x,x \ y),z) = K(T(x,y),z). [para(4642(a,1),7432(a,1,1))]. 7444 R(x,y,x) * K(x,z) = T(R(x,y,x),z). [para(7432(a,1),5252(a,2,2)),flip(a)]. 7445 x * K(R(x,y,x),z) = T(x,z). [para(7432(a,2),5252(a,2,2)),flip(a)]. 7446 K(x,R(y,z,y)) = 1 / K(y,x). [para(7432(a,1),5394(a,1,2)),flip(a)]. 7449 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(7432(a,1),5592(a,1,1))]. 7450 (K(x,y) * z) * x = K(x,y) * (z * x). [para(7432(a,1),7209(a,1,1)),flip(a)]. 7451 K(x,R(y,z,x)) = K(x,y). [hyper(255,a,6382,a(flip),b,7442,a(flip)),flip(a)]. 7452 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(255,a,6374,a(flip),b,7442,a(flip)),flip(a)]. 7455 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(7442(a,1),5868(a,1,1)),flip(a)]. 7456 T(x,R(y,z,x)) = x * K(x,y). [para(7451(a,1),5252(a,2,2))]. 7457 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(6382(a,1),7451(a,1,2))]. 7464 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(7417(a,1),7346(a,1,1)),flip(a)]. 7465 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(7421(a,1),122(a,1,1)),flip(a)]. 7466 T(x,L(y,z,y)) = T(x,y). [hyper(255,a,5197,a,b,7433,a)]. 7467 T(x,L(y,z,y)) = x * K(x,y). [hyper(255,a,6673,a(flip),b,7433,a)]. 7468 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(6157,a,7466,a),flip(a)]. 7471 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(7466(a,1),127(a,1,2))]. 7473 T(x,T(y / z,y)) = T(x,z \ y). [para(4595(a,1),7466(a,1,2))]. 7474 T(x,R(y,z,y)) = T(x,y). [para(4816(a,1),7466(a,1,2)),flip(a)]. 7475 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(6157,a,7474,a),flip(a)]. 7476 T(x / y,R(y,z,y)) = y \ x. [hyper(255,a,129,a(flip),b,7474,a)]. 7477 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(7474(a,1),127(a,1,2))]. 7479 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4642(a,1),7474(a,1,2))]. 7480 T(x,(y * z) / y) = T(x,y / (y / z)). [para(4824(a,1),7474(a,1,2))]. 7481 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(80,a,7445,a(flip),b,7313,a),flip(a)]. 7482 K(x,R(y,z,y)) = K(x,y). [hyper(255,a,5394,a(flip),b,7446,a)]. 7483 K(x,R(y,z,y)) != u | K(x,y) = u. [para(7446(a,2),5395(a,1))]. 7484 R(K(x,y),z,y) = K(x,y). [hyper(255,a,6396,a(flip),b,7482,a(flip)),flip(a)]. 7485 K(x,T(y,y * z)) = K(x,T(y,z)). [para(4578(a,1),7482(a,1,2)),flip(a)]. 7486 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4642(a,1),7482(a,1,2))]. 7487 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(7482(a,1),5986(a,1,2)),flip(a)]. 7488 (K(x,y) * z) * y = K(x,y) * (z * y). [para(7484(a,1),122(a,1,1)),flip(a)]. 7489 T(x,R(y,z,x)) = T(x,y). [hyper(255,a,5252,a,b,7456,a)]. 7496 T(x,(y * x) / z) = T(x,y / (z / x)). [para(474(a,1),7489(a,1,2))]. 7497 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(682(a,1),7489(a,1,2))]. 7502 K(x,L(y,z,y)) = K(x,y). [hyper(5323,a,7467,a)]. 7503 L(K(x,y),z,y) = K(x,y). [hyper(7017,a,7502,a)]. 7505 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(7304,a,7503,a)]. 7506 K(L(x,y,z),z) = K(x,z). [hyper(255,a,7046,a(flip),b,7503,a(flip)),flip(a)]. 7507 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(255,a,7032,a(flip),b,7503,a(flip))]. 7509 (x * y) * K(z,x) = x * (y * K(z,x)). [para(7503(a,1),112(a,1,2))]. 7513 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(50(a,1),7506(a,1,1))]. 7514 T(x * K(y,x),L(y,z,x)) = x. [para(7506(a,1),5216(a,1,1,2))]. 7515 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(7131(a,1),7506(a,1,1))]. 7516 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(7476(a,1),127(a,1,2))]. 7517 T(x,L(y,z,x)) = T(x,y). [para(7514(a,1),5295(a,1,1)),flip(a)]. 7518 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(241(a,1),7517(a,1,2))]. 7519 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(439(a,1),7517(a,1,2)),flip(a)]. 7520 K((x \ y) \ y,z) = K(T(x,y),z). [para(145(a,1),7431(a,1,1,1)),flip(a)]. 7521 L(K(x,x * (y \ z)),y \ z,y) != u | K(x,(y * (x \ 1)) \ z) = u. [para(7436(a,1),7305(a,1,1))]. 7522 K(T(x,y),z) = T(K(x,z),y). [hyper(255,a,6790,a(flip),b,7443,a(flip))]. 7523 K(T(x,y),y / z) = K(x,z \ y). [hyper(255,a,6599,a(flip),b,7522,a)]. 7524 K(T(x,K(y,z)),y) = K(x,y). [hyper(255,a,2072,a(flip),b,7522,a)]. 7525 x * K(T(y,x),z) = K(y,z) * x. [para(7522(a,2),127(a,1,2))]. 7526 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(7522(a,1),5263(a,2,1)),flip(a)]. 7527 (K(x,y) * z) * K(T(y,z),x) = z. [para(7522(a,2),6750(a,1,2))]. 7528 K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). [para(7524(a,1),5263(a,2,1)),flip(a)]. 7529 T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x). [para(7524(a,1),5707(a,1,2))]. 7530 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(70(a,1),7473(a,1,2,1)),flip(a)]. 7534 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(4642(a,1),7483(a,1,2))]. 7535 K(x,T(y,L(y,z,u) * (y \ w))) = K(x,T(y,L(y,z,u) * w)). [para(1421(a,1),7485(a,1,2,2)),flip(a)]. 7536 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(1990(a,1),7485(a,1,2)),flip(a)]. 7537 K(x,T(y,z * y)) = K(x,T(y,z)). [para(4563(a,2),7485(a,1,2))]. 7539 K(x,T(y,z)) = T(K(x,y),z). [hyper(255,a,6953,a(flip),b,7486,a(flip))]. 7540 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(128(a,1),7486(a,1,2))]. 7541 K(x,T(y * z,y \ 1)) = K(x,T(y * z,z)). [para(4410(a,1),7486(a,1,2))]. 7542 K(T(x,y),z) = K(x,T(z,y)). [hyper(255,a,7522,a,b,7539,a),flip(a)]. 7543 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(255,a,7004,a,b,7539,a),flip(a)]. 7544 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(255,a,6757,a,b,7539,a),flip(a)]. 7546 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [hyper(255,a,6400,a,b,7539,a),flip(a)]. 7547 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(255,a,6388,a,b,7539,a),flip(a)]. 7548 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(255,a,6096,a,b,7539,a),flip(a)]. 7549 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(255,a,6094,a,b,7539,a),flip(a)]. 7550 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). [hyper(255,a,5971,a,b,7539,a),flip(a)]. 7551 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(255,a,5965,a,b,7539,a),flip(a)]. 7552 K(x / y,T(z,x)) = K(y \ x,z). [hyper(255,a,6755,a(flip),b,7539,a)]. 7553 K(x,T(y,K(x,z))) = K(x,y). [hyper(255,a,6106,a(flip),b,7539,a)]. 7554 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(255,a,3341,a(flip),b,7539,a)]. 7555 K(x,T(y,K(z,x))) = K(x,y). [hyper(255,a,2074,a(flip),b,7539,a)]. 7556 T(K(x * y,x),y) = K(x * y,x). [hyper(255,a,5587,a(flip),b,7539,a(flip))]. 7557 T(T(K(x,y),z),u) = T(K(x,T(y,u)),z). [para(7539(a,2),43(a,1,1)),flip(a)]. 7558 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(43(a,1),7539(a,1,2))]. 7559 x * K(y,T(z,x)) = K(y,z) * x. [para(7539(a,2),127(a,1,2))]. 7561 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7539(a,2),565(a,1,2,2))]. 7564 x * T(K(x,y),z) = T(x,T(y,z)). [para(7539(a,1),5252(a,2,2)),flip(a)]. 7565 T(x,K(y,T(z,x))) != u | T(x,K(y,z)) = u. [para(7539(a,2),5718(a,1,2))]. 7566 K(x,y) * (K(z,u) * x) = T(x,y) * K(z,T(u,x)). [para(7539(a,2),5538(a,2,2))]. 7567 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7539(a,2),6090(a,1,2))]. 7568 K(x,T(y,K(z,u))) * K(u,z) = K(u,z) * K(x,y). [para(7539(a,2),6102(a,1,1))]. 7570 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7539(a,2),6098(a,2,1))]. 7571 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7539(a,2),6247(a,2,2))]. 7572 (K(x,y) * z) * K(y,T(x,z)) = z. [para(7539(a,2),6750(a,1,2))]. 7573 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(7539(a,2),6900(a,1))]. 7575 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(5624,a,7542,a)]. 7576 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(255,a,5139,a(flip),b,7542,a)]. 7577 K(x,T(y,z) \ T(x,z)) = K(x,T(y \ x,z)). [hyper(255,a,7191,a,b,7542,a(flip)),flip(a)]. 7579 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(255,a,6052,a,b,7542,a(flip)),flip(a)]. 7580 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(255,a,6790,a(flip),b,7542,a(flip))]. 7581 T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). [hyper(80,a,7542,a(flip),b,5184,a(flip)),flip(a)]. 7582 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(43(a,1),7542(a,2,2))]. 7583 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(47(a,2),7542(a,1,1))]. 7584 K(x / y,T(z,y)) = K(y \ x,z). [para(129(a,1),7542(a,1,1)),flip(a)]. 7585 K(T(x,y),z / y) = K(x,y \ z). [para(129(a,1),7542(a,2,2))]. 7586 K((x * y) / x,T(z,x)) = K(y,z). [para(166(a,1),7542(a,1,1)),flip(a)]. 7587 K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). [para(138(a,1),7542(a,1,1)),flip(a)]. 7588 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(138(a,1),7542(a,2,2))]. 7589 K(T(x,L(y,z,u)),y) = K(x,y). [para(279(a,1),7542(a,2,2))]. 7590 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(402(a,1),7542(a,1,1)),flip(a)]. 7591 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(277(a,1),7542(a,1,1))]. 7592 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(773(a,1),7542(a,1,1)),flip(a)]. 7593 T(x,K(y,T(x,z))) = x. [para(7542(a,1),3140(a,1,2))]. 7594 x / K(y,T(x,z)) = T(x,T(y,z)). [para(7542(a,1),5197(a,2,2)),flip(a)]. 7595 T(x,y) * K(x,T(z,y)) = T(T(x,y),z). [para(7542(a,1),5252(a,2,2)),flip(a)]. 7598 K(x,T(y,K(z,z \ x))) = K(x,y). [para(5661(a,1),7542(a,1,1)),flip(a)]. 7599 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(7542(a,1),5560(a,1,1))]. 7600 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7542(a,1),5623(a,1,1))]. 7601 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(7542(a,1),5337(a,1,1))]. 7603 a(x,y,K(z,T(y,u))) = 1. [para(7542(a,1),6579(a,1,3))]. 7605 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(7542(a,1),6784(a,1,1,2))]. 7607 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7542(a,1),6677(a,1,2))]. 7609 x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). [para(7542(a,1),6741(a,1,2,2))]. 7611 K(x,T(y,K(z,L(x,u,w)))) = K(x,y). [para(7015(a,1),7542(a,1,1)),flip(a)]. 7612 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [para(7542(a,1),7236(a,1,2)),flip(a)]. 7613 K(x,T(y,z)) * y = y * K(x,T(y,z)). [para(7593(a,1),127(a,1,2))]. 7614 T(x / y,K(z,y \ x)) = x / y. [para(129(a,1),7593(a,1,2,2))]. 7615 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(38,a,7603,a)]. 7616 K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). [para(47(a,2),7553(a,1,2))]. 7618 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(129(a,1),7554(a,1,2)),flip(a)]. 7620 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(641(a,1),7520(a,1,1,1)),flip(a)]. 7621 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(6680(a,1),7520(a,1,1)),flip(a)]. 7622 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7520(a,1),7030(a,1,1)),flip(a)]. 7623 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(773(a,1),7523(a,1,1))]. 7625 x * K(T(y,x),z) = K(z,y) \ x. [hyper(255,a,5600,a,b,7525,a)]. 7626 K(x / y,z) * y = y * K(y \ x,z). [para(129(a,1),7525(a,1,2,1)),flip(a)]. 7627 K((x * y) / x,z) * x = x * K(y,z). [para(166(a,1),7525(a,1,2,1)),flip(a)]. 7628 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(7525(a,1),7081(a,1,1,2))]. 7629 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. [para(7525(a,1),7083(a,1,1,2))]. 7632 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(6157,a,7530,a),flip(a)]. 7633 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7540(a,1),6986(a,1,1)),flip(a)]. 7635 L(x,y / z,K(z \ y,u)) = x. [para(7552(a,1),4398(a,1,3))]. 7641 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7552(a,1),7205(a,1,1)),flip(a)]. 7643 L(x,(y * z) / y,K(z,u)) = x. [para(18(a,1),7635(a,1,3,1))]. 7645 K(x,y) * (((z * x) / z) * L(u,T(K(x,y),(z * x) / z),(z * x) / z)) = ((z * x) / z) * (T(K(x,y),(z * x) / z) * u). [para(7643(a,1),1006(a,1,2,2)),flip(a)]. 7646 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(6895,a,7559,a)]. 7647 (x \ y) * K(z,T(x,x \ y)) = T(x,z) \ y. [hyper(255,a,5560,a(flip),b,7559,a)]. 7648 x \ (y * K(z,T(x,y))) = T(x,z) \ y. [hyper(80,a,7559,a,b,5225,a)]. 7649 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(22,a,6121,a(flip),b,7559,a)]. 7650 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(5622,a,7559,a(flip))]. 7651 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7559(a,1),24(a,1))]. 7653 K(x,y / z) * z = z * K(x,z \ y). [para(129(a,1),7559(a,1,2,2)),flip(a)]. 7654 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(7539(a,2),7559(a,1,2,2))]. 7656 T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). [hyper(5978,a,7564,a)]. 7657 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(7564(a,1),6551(a,1,2,2))]. 7658 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7575(a,1),5384(a,1))]. 7659 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(255,a,7539,a,b,7580,a)]. 7660 T(K(x,y),x * z) = K(x,T(y,z)). [para(18(a,1),7580(a,1,2,2)),flip(a)]. 7661 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(138(a,1),7584(a,1,2))]. 7665 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(773(a,1),7585(a,1,1))]. 7666 (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. [para(7585(a,1),6795(a,1,2))]. 7667 L(x,K(y,z),(u * y) / u) = x. [para(7586(a,1),4723(a,1,2))]. 7668 L(x,T(T(y,z),u),K(w,y)) = x. [para(7586(a,1),6395(a,1,3))]. 7669 a(x,T(y,z),K(u,y)) = 1. [para(7586(a,1),6579(a,1,3))]. 7670 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7586(a,1),7092(a,1,2))]. 7671 L(K(x,y),T(y,z),u) = K(x,y). [hyper(38,a,7669,a)]. 7674 (K(x,y) * T(T(y,z),u)) * w = K(x,y) * (T(T(y,z),u) * w). [para(7668(a,1),112(a,1,2))]. 7676 (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). [hyper(255,a,5727,a,b,7671,a(flip)),flip(a)]. 7677 (x * T(y,z)) * L(K(u,y),w,v5) = x * (T(y,z) * L(K(u,y),w,v5)). [para(7671(a,1),429(a,1,2,1))]. 7678 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(7590(a,1),5263(a,2,1))]. 7679 T(x,T(y,z) \ T(x,z)) = T(x,T(y \ x,z)). [hyper(7190,a,7594,a)]. 7680 K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). [para(6686(a,1),7598(a,1,2))]. 7681 K(x / y,z) \ y = y * K(z,y \ x). [para(7585(a,1),7625(a,1,2)),flip(a)]. 7683 K(x,T(y,x * z)) = K(x,T(y,z)). [para(18(a,1),7659(a,1,2,2)),flip(a)]. 7684 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(47(a,2),7659(a,1,2))]. 7685 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(7659(a,1),5252(a,2,2))]. 7686 K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)). [para(6854(a,1),7659(a,1,2))]. 7687 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(7659(a,1),7208(a,1,1))]. 7688 (x * y) * K(x,T(z,y)) = K(x,z) * (x * y). [para(7660(a,1),127(a,1,2))]. 7689 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(7670(a,1),488(a,1,1))]. 7690 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(129(a,1),7683(a,1,2)),flip(a)]. 7691 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [para(7418(a,1),379(a,1,1)),flip(a)]. 7693 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(685(a,1),7457(a,1,2,2))]. 7695 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(255,a,7032,a(flip),b,7615,a(flip))]. 7696 K(x \ 1,x) * K(y,T(x,z)) = (x \ 1) * (x * K(y,T(x,z))). [para(7615(a,1),433(a,1,2))]. 7697 K(x,T(y,z)) * K(y \ 1,y) = (y \ 1) * (y * K(x,T(y,z))). [para(7615(a,1),2278(a,1,1))]. 7698 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(7539(a,1),7658(a,1))]. 7699 K(T(x,x \ y),z) != u | K(T(x,y),z) = u. [para(6790(a,2),7698(a,1))]. 7700 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(255,a,7249,a,b,7411,a(flip)),flip(a)]. 7701 K(x,y \ (z * x)) = K(x,y \ (x * z)). [hyper(255,a,7247,a(flip),b,7411,a(flip)),flip(a)]. 7702 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(19(a,1),7411(a,2,2,2))]. 7703 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(255,a,6973,a,b,7424,a(flip)),flip(a)]. 7704 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(255,a,6826,a,b,7424,a(flip)),flip(a)]. 7705 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(190(a,1),7424(a,1,2,1)),flip(a)]. 7706 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(7424(a,1),6906(a,2,2))]. 7707 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). [para(7424(a,1),6989(a,1,1))]. 7708 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(3327,a,7434,a)]. 7709 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(80,a,7434,a(flip),b,5550,a),flip(a)]. 7710 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(255,a,47,a,b,7444,a)]. 7711 L(x,y,K(x,z)) = x. [hyper(422,a,7450,a)]. 7712 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(255,a,5538,a(flip),b,7450,a)]. 7714 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(172,a,7450,a,b,5850,a)]. 7715 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). [para(7450(a,1),162(a,2,1)),flip(a)]. 7716 (K(x,y) * z) / x = K(x,y) * (z / x). [para(7711(a,1),483(a,1,2))]. 7717 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(7711(a,1),428(a,1,2,1))]. 7718 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(7711(a,1),429(a,1,2,1))]. 7722 L(K(x,y),z,K(y,u)) = K(x,y). [para(7711(a,1),7007(a,1,2)),flip(a)]. 7723 L(K(x,y),z,K(x,u)) = K(x,y). [para(7711(a,1),7044(a,1,1)),flip(a)]. 7727 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [hyper(255,a,7037,a(flip),b,7722,a(flip))]. 7728 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(255,a,7009,a(flip),b,7723,a(flip)),flip(a)]. 7729 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(7723(a,1),45(a,2,1))]. 7730 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(5629(a,1),7728(a,1,2)),flip(a)]. 7734 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(7464(a,1),1319(a,1,1))]. 7736 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(7464(a,1),7482(a,1,2))]. 7737 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(47(a,1),7736(a,1,2))]. 7738 K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)). [para(4578(a,1),7737(a,1,2,1)),flip(a)]. 7739 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(7468(a,1),127(a,1,2)),flip(a)]. 7741 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(129(a,1),7471(a,1,2))]. 7743 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(7475(a,1),127(a,1,2)),flip(a)]. 7745 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(6201,a,7480,a),flip(a)]. 7746 L(x,y,K(z,x)) = x. [hyper(422,a,7488,a)]. 7748 K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). [para(7488(a,1),5539(a,1,2,2))]. 7750 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(7746(a,1),50(a,1,1)),flip(a)]. 7751 L(K(x,y),z,K(u,y)) = K(x,y). [para(7746(a,1),7007(a,1,2)),flip(a)]. 7752 L(K(x,y),z,K(u,x)) = K(x,y). [para(7746(a,1),7044(a,1,1)),flip(a)]. 7753 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(255,a,7046,a(flip),b,7751,a(flip)),flip(a)]. 7754 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [para(7751(a,1),112(a,1,2))]. 7755 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(255,a,7009,a(flip),b,7752,a(flip)),flip(a)]. 7756 L(R(K(x,y),z,u),w,K(v5,x)) = R(K(x,y),z,u). [para(7752(a,1),49(a,1,1)),flip(a)]. 7757 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(7753(a,1),5292(a,2,1,1))]. 7758 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(50(a,1),7755(a,1,2))]. 7759 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(255,a,6970,a,b,7505,a(flip)),flip(a)]. 7760 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(255,a,6966,a,b,7505,a(flip)),flip(a)]. 7761 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(19(a,1),7505(a,1,1,1)),flip(a)]. 7762 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(7505(a,1),6773(a,1,2))]. 7763 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(7507(a,1),5991(a,1,1,1,2))]. 7764 R(x,y,K(z,x)) = x. [hyper(454,a,7509,a)]. 7768 R(R(x,y,z),u,K(w,x)) = R(x,y,z). [para(7764(a,1),51(a,1,1)),flip(a)]. 7770 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(7764(a,1),459(a,1,1,1)),flip(a)]. 7771 (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). [para(7764(a,1),460(a,1,1,1)),flip(a)]. 7772 R(x,y,K(z,T(x,u))) = x. [para(7542(a,1),7764(a,1,3))]. 7773 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(7772(a,1),460(a,1,1,1)),flip(a)]. 7774 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(7772(a,1),7209(a,1,1,1)),flip(a)]. 7775 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = ((x * K(y,z)) * R(z,u,w)) / K(y,z). [para(7768(a,1),778(a,1,1,2)),flip(a)]. 7776 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(127(a,1),7518(a,1,2,1)),flip(a)]. 7777 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(6850(a,1),7536(a,1,2)),flip(a)]. 7778 K(x,T(y \ 1,z)) = K(x,(y * z) \ z). [hyper(6896,a,7550,a),flip(a)]. 7780 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(279(a,1),7551(a,1,1,1)),flip(a)]. 7781 K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). [hyper(255,a,7539,a,b,7557,a),flip(a)]. 7782 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(6955,a,7567,a)]. 7783 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(255,a,6301,a,b,7782,a(flip)),flip(a)]. 7784 K(x \ y,K(x,z)) = K(y,K(x,z)). [para(19(a,1),7782(a,1,1)),flip(a)]. 7785 R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). [para(7581(a,1),2100(a,1,2))]. 7786 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(47(a,2),7588(a,1,1))]. 7787 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(5933,a,7595,a)]. 7788 K(x,y) \ T(T(x,y),z) = T(x,T(z,y)). [hyper(80,a,7595,a(flip),b,5558,a)]. 7790 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(7466(a,1),7646(a,1,2,1))]. 7791 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(5785(a,1),7653(a,1,1)),flip(a)]. 7792 T(x,T(y \ 1,z)) = T(x,(y * z) \ z). [hyper(6901,a,7656,a),flip(a)]. 7793 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(255,a,5263,a,b,7678,a)]. 7794 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(5216(a,1),7793(a,1,2,2,1))]. 7795 T(x / y,z) \ x = y * K(z,y \ x). [hyper(255,a,5667,a,b,7681,a(flip)),flip(a)]. 7797 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(255,a,5252,a,b,7685,a)]. 7799 T(x,T(y,x \ y)) = T(x,y). [para(126(a,1),7797(a,2,2))]. 7800 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(7797(a,1),5253(a,1,2,1))]. 7801 T(x,T(x * y,y)) = T(x,x * y). [para(18(a,1),7799(a,1,2,2))]. 7802 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(19(a,1),7701(a,2,2,2))]. 7803 L(K(x,x \ (y \ z)),y \ z,y) = K(x,y \ (x \ z)). [hyper(7064,a,7703,a)]. 7804 L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). [hyper(7063,a,7703,a)]. 7805 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [hyper(255,a,6971,a,b,7703,a(flip)),flip(a)]. 7806 K(x,y \ (x \ (y * (x * z)))) = K(x,L(z,x,y)). [para(33(a,2),7703(a,1,2)),flip(a)]. 7807 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(114(a,2),7703(a,1,2))]. 7808 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(179(a,1),7703(a,1,2)),flip(a)]. 7809 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(6369(a,1),7708(a,2,1))]. 7810 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(7708(a,1),6307(a,1,1)),flip(a)]. 7811 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(80,a,7710,a(flip),b,5548,a)]. 7812 (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). [para(5221(a,2),7712(a,1,1))]. 7813 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [para(5536(a,1),7712(a,1,1)),flip(a)]. 7814 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(6559,a,7714,a),flip(a)]. 7815 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6558,a,7714,a)]. 7816 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(255,a,6055,a(flip),b,7714,a)]. 7817 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(19(a,1),7714(a,1,1)),flip(a)]. 7818 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(45(a,2),7714(a,2,2))]. 7819 K(x \ (y \ (z * y)),y) = K(x \ z,y). [hyper(255,a,7240,a(flip),b,7759,a(flip))]. 7820 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(7759(a,1),5991(a,1,1,1,2))]. 7822 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(7539(a,2),7787(a,1,2,2))]. 7823 L(T(x,T(y,z)),K(x,z),z * x) = (x * z) \ ((T(x,y) * z) * x). [para(7788(a,1),4813(a,1,1))]. 7824 x / T(y \ x,z) = T(x / y,z) \ x. [hyper(255,a,6777,a,b,7795,a),flip(a)]. 7825 x / (y * K(z,y \ x)) = T(x / y,z). [para(7795(a,1),70(a,1,2))]. 7826 T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). [para(7802(a,1),5252(a,2,2))]. 7827 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(18(a,1),7815(a,1,2,1)),flip(a)]. 7828 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(7815(a,1),6560(a,1,1)),flip(a)]. 7829 K(x \ 1,y) * (x \ K(y,z)) = T(x \ K(y,z),y). [hyper(255,a,5525,a,b,7817,a(flip)),flip(a)]. 7831 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = T(u / z,x) * z. [para(7817(a,1),1719(a,1,1)),flip(a)]. 7832 K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. [para(7817(a,1),6827(a,1,1,2)),flip(a)]. 7833 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(255,a,7761,a(flip),b,7819,a(flip))]. 7837 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(7824(a,1),73(a,1,1))]. 7838 T(x / (x / y),z) \ x = x / T(y,z). [para(73(a,1),7824(a,1,2,1)),flip(a)]. 7839 (x * y) / (x * K(z,y)) = T((x * y) / x,z). [para(18(a,1),7825(a,1,2,2,2))]. 7841 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5726(a,1),7827(a,1,1)),flip(a)]. 7842 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(6716,a,7828,a)]. 7843 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(255,a,6629,a,b,7828,a),flip(a)]. 7844 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(80,a,7828,a,b,5220,a)]. 7846 K(x \ ((y \ z) * y),y) = K(x \ z,y). [hyper(255,a,7761,a(flip),b,7833,a(flip))]. 7847 K(x \ (y * z),z) = K(x \ (z * y),z). [hyper(255,a,7507,a(flip),b,7833,a(flip))]. 7849 K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). [para(7837(a,1),7540(a,1,2)),flip(a)]. 7851 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(5885(a,1),7838(a,1,1,1))]. 7852 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(172,a,7842,a(flip),b,5535,a)]. 7854 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [para(7842(a,2),6663(a,1,1))]. 7855 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(5829,a,7852,a)]. 7857 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [para(129(a,1),7852(a,1,1)),flip(a)]. 7859 T(x,K(y,z)) * y = y * T(x,T(y,z)). [para(7852(a,1),182(a,1,2)),flip(a)]. 7860 T(x,T(y,y \ 1)) != z | T(x,y) = z. [para(7852(a,1),6155(a,1)),flip(b)]. 7861 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(7852(a,1),7555(a,1,2))]. 7862 K(x,T(y,T(z,L(x,u,w)))) = K(x,T(y,z)). [para(7852(a,1),7611(a,1,2))]. 7863 T(1 / x,T(y,x)) = T(1 / x,y). [para(2337(a,1),7855(a,1,1)),flip(a)]. 7865 L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x). [para(7855(a,1),4672(a,1,2)),flip(a)]. 7866 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(6105(a,1),7855(a,1,1)),flip(a)]. 7867 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(129(a,1),7861(a,1,2,2)),flip(a)]. 7868 T(1 / (x \ y),T(x,y)) = T(1 / (x \ y),x). [hyper(255,a,7479,a(flip),b,7863,a(flip)),flip(a)]. 7870 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(255,a,7479,a(flip),b,7866,a(flip)),flip(a)]. 7871 T(x,(y \ 1) \ 1) != z | T(x,y) = z. [para(128(a,1),7860(a,1,2))]. 7876 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(255,a,6909,a,b,7857,a(flip)),flip(a)]. 7879 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(255,a,7659,a(flip),b,7867,a)]. 7881 K(x,T(y,z * x)) = K(x,T(y,z)). [para(20(a,1),7879(a,1,2,2)),flip(a)]. 7882 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(141(a,1),7879(a,1,2,2)),flip(a)]. 7883 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4659(a,1),7879(a,1,2))]. 7884 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(4660(a,1),7879(a,1,2))]. 7885 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(255,a,7427,a,b,7881,a),flip(a)]. 7886 T(K(x,y),z * x) = K(x,T(y,z)). [hyper(255,a,7539,a(flip),b,7881,a(flip)),flip(a)]. 7887 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(7881(a,1),7559(a,1,2))]. 7888 T(K(x,y),z * x) = T(K(x,y),z). [hyper(255,a,7539,a(flip),b,7886,a)]. 7889 x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). [para(383(a,1),7876(a,2,1))]. 7891 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. [para(603(a,2),7534(a,1))]. 7895 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(6953(a,1),7534(a,1))]. 7899 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7522(a,2),7895(a,1))]. 7900 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(7580(a,2),7895(a,1))]. 7902 T(K(x,y),z * x) != u | K(x,T(y,z)) = u. [para(7888(a,2),7895(a,1))]. 7903 K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u. [para(7191(a,2),7899(a,1))]. 7906 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [hyper(255,a,7228,a(flip),b,7729,a(flip)),flip(a)]. 7908 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(5608(a,1),7906(a,1,2)),flip(a)]. 7910 T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5). [para(6205(a,1),7908(a,1,2,1))]. 7911 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(255,a,5292,a,b,7757,a)]. 7912 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(114(a,1),7911(a,1,2))]. 7913 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(129(a,1),7862(a,1,2,2)),flip(a)]. 7914 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(7539(a,2),7902(a,1))]. 7915 K(x * y,T(y,z * (y * x))) != u | K(y * x,T(y,z)) = u. [para(6408(a,2),7914(a,1))]. 7917 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(7416(a,1),6724(a,1,2))]. 7921 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(255,a,3146,a(flip),b,7487,a)]. 7922 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(6209(a,1),7487(a,2,2))]. 7923 K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). [hyper(255,a,7855,a(flip),b,7528,a)]. 7924 K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). [hyper(5854,a,7923,a)]. 7925 K(R((x * y) / x,z,u),T(w,y * x)) = K(R(L(y,x,y),z,u),w). [para(618(a,1),7583(a,1,1,1)),flip(a)]. 7926 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1956(a,1),7583(a,1,1)),flip(a)]. 7927 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(3140(a,1),7583(a,2,2))]. 7928 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(6686(a,1),7616(a,1,2,1))]. 7931 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6907(a,2),7657(a,1,2))]. 7933 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [hyper(255,a,6194,a(flip),b,7686,a(flip))]. 7934 (x * y) * K(x,K(z,T(u,y))) = K(x,K(z,u)) * (x * y). [para(7539(a,2),7688(a,1,2,2))]. 7935 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(255,a,7424,a(flip),b,7690,a)]. 7936 (x / R(y,z,y)) * y != y * u | R(y,z,y) \ x = u. [para(7743(a,2),24(a,1))]. 7937 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(7110,a,7760,a)]. 7938 K(x \ (y \ 1),y) = K(y \ (x \ 1),y). [hyper(6007,a,7760,a),flip(a)]. 7939 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [hyper(255,a,7761,a(flip),b,7938,a(flip))]. 7940 T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). [para(7939(a,1),5291(a,2,2,2))]. 7941 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(7002(a,1),7777(a,1,2))]. 7942 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(22,a,7559,a,b,7791,a),flip(a)]. 7943 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(255,a,7778,a(flip),b,7942,a(flip)),flip(a)]. 7944 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [para(73(a,1),7942(a,2,2,2))]. 7945 x * K(x,y \ (z \ y)) = T(x,(z * y) \ y). [para(7943(a,1),5252(a,2,2)),flip(a)]. 7946 T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). [hyper(172,a,7812,a,b,1078,a)]. 7948 x * K(T(y,z) \ x,y) = (y \ x) * y. [hyper(6647,a,7813,a)]. 7949 x / T(y,T(y,z) \ x) = y \ x. [hyper(6746,a,7948,a)]. 7950 T(x,T(x,y) \ z) = (x \ z) \ z. [para(7949(a,1),73(a,1,1)),flip(a)]. 7951 T(x,T(x,y) \ z) = T(x,x \ z). [hyper(255,a,128,a,b,7950,a)]. 7954 T(x,x \ (T(x,y) * z)) = T(x,z). [para(18(a,1),7951(a,1,2)),flip(a)]. 7955 T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ z) = T(T(x,y) / (x / y),(x / (x / y)) \ z). [para(4134(a,1),7951(a,1,2,1)),flip(a)]. 7957 T(x,K(x,y) * z) = T(x,z). [para(5534(a,1),7954(a,1,2))]. 7958 T(x,K(x,y) * L(K(z,x),u,w)) = x. [hyper(255,a,3223,a(flip),b,7957,a)]. 7959 T(x,K(y,x) * z) = T(x,z). [para(5608(a,1),7957(a,1,2)),flip(a)]. 7960 T(x,T(y,x) \ z) = T(x,y \ z). [para(5560(a,1),7957(a,1,2))]. 7961 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7957(a,1),5819(a,1,1))]. 7963 T(x,(y / x) \ z) = T(x,(x \ y) \ z). [para(6053(a,1),7957(a,1,2)),flip(a)]. 7965 K(x,T(y,K(x,z) * u)) = K(T(x,u),y). [para(7957(a,1),7542(a,1,1)),flip(a)]. 7966 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7959(a,1),4783(a,1,3))]. 7967 T(x,y * K(z,x)) = T(x,y). [para(7627(a,1),7959(a,1,2))]. 7968 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(7967(a,1),5253(a,1,2,1)),flip(a)]. 7970 T(x,y * K(x,z)) = T(x,y). [para(6672(a,1),7967(a,1,2)),flip(a)]. 7971 T(x,y / (z / x)) = T(x,y / (x \ z)). [para(6878(a,1),7967(a,1,2))]. 7974 K(x,y * K(x,z)) = x \ T(x,y). [hyper(80,a,7970,a(flip),b,5252,a(flip)),flip(a)]. 7975 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(7970(a,1),183(a,1,2,1))]. 7977 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(7970(a,1),4462(a,1,2,1))]. 7978 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(6189(a,1),7970(a,1,2,2))]. 7980 T(x,y * (z * x)) = T(x,y * (x * z)). [para(7053(a,1),7970(a,1,2)),flip(a)]. 7981 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(255,a,7776,a(flip),b,7960,a(flip)),flip(a)]. 7982 K(x,y * K(x,z)) = K(x,y). [hyper(255,a,5186,a,b,7974,a)]. 7983 T(x,K(y,x * K(y,z))) = x. [para(7974(a,2),3151(a,1,2))]. 7984 K(x,y * K(x,z)) != u | K(x,y) = u. [para(7974(a,2),5325(a,1))]. 7987 K(x,y * R(K(x,z),u,w)) = K(x,y). [para(6361(a,1),7982(a,1,2,2))]. 7988 K(x,y * K(z,x)) = K(x,y). [para(6672(a,1),7982(a,1,2)),flip(a)]. 7990 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(6886(a,1),7982(a,1,2)),flip(a)]. 7991 K(x,y \ T(z,x)) = K(x,y \ z). [para(6967(a,1),7982(a,1,2)),flip(a)]. 7992 K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). [para(7124(a,1),7982(a,1,2)),flip(a)]. 7993 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7982(a,1),6729(a,1,1)),flip(a)]. 7994 K(x,K(x,y) * z) = K(x,z). [para(7559(a,1),7982(a,1,2))]. 7995 K(x,K(y,x) * z) = K(x,z). [para(7572(a,1),7982(a,1,2)),flip(a)]. 7996 K(x,K(y,x * K(y,z))) = 1. [hyper(41,a,7983,a)]. 7997 K(x * K(y,z),z) = 1 / K(z,x). [para(7988(a,1),5394(a,1,2)),flip(a)]. 7998 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(7988(a,1),5911(a,1,1))]. 7999 K(x,y \ T(y * z,x)) = K(x,z). [para(6018(a,2),7988(a,1,2))]. 8002 K(x,T(x,y) * z) = K(x,x * z). [para(5272(a,1),7994(a,1,2))]. 8003 K(x,K(y,x) \ z) = K(x,z). [para(5600(a,2),7994(a,1,2))]. 8005 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(6361(a,1),7994(a,1,2,1))]. 8006 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(6205(a,1),7995(a,1,2,1))]. 8007 K(x * K(y,z),z) = K(x,z). [hyper(255,a,5394,a(flip),b,7997,a)]. 8008 K(x * K(y,z),z) != u | K(x,z) = u. [para(7997(a,2),5395(a,1))]. 8009 K(x * T(y,z),z) = K(x * y,z). [para(1562(a,1),8007(a,1,1))]. 8010 R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). [para(8007(a,1),4395(a,1,1))]. 8012 K(x * L(K(y,z),u,w),z) = K(x,z). [para(6475(a,1),8007(a,1,1,2))]. 8013 K(x * T(y,z),y) = K(x * y,y). [para(6633(a,1),8007(a,1,1)),flip(a)]. 8014 K(x * K(y,z),y) = K(x,y). [para(6672(a,1),8007(a,1,1)),flip(a)]. 8015 K(x * K(y,T(z,u)),z) = K(x,z). [para(7542(a,1),8007(a,1,1,2))]. 8016 K(K(x,y) * z,y) = K(z,y). [para(7525(a,1),8007(a,1,1))]. 8017 K(K(x,y) * z,x) = K(z,x). [para(7527(a,1),8007(a,1,1)),flip(a)]. 8018 K(K(x,y) \ z,x) = K(z,x). [para(7625(a,1),8007(a,1,1))]. 8019 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(8014(a,1),5996(a,1,1,1,2)),flip(a)]. 8022 K(K(x,y) * z,x) = K(z * K(x,u),x). [hyper(255,a,8014,a,b,8017,a)]. 8025 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6361(a,1),8017(a,1,1,1))]. 8026 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(8017(a,1),6586(a,1,1))]. 8028 K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). [para(7828(a,2),8002(a,1,2))]. 8029 K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). [para(7475(a,1),8009(a,1,1,2)),flip(a)]. 8030 K(x * T(y,z),y) = K(y * x,y). [hyper(255,a,5894,a(flip),b,8013,a)]. 8031 K(T(x,y) * z,x) = K(z * T(x,y),x). [para(104(a,1),8015(a,1,1)),flip(a)]. 8032 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(6020(a,1),8015(a,1,1))]. 8033 K(x * (y / T(x,z)),x) = K(y,x). [para(21(a,1),8030(a,1,1)),flip(a)]. 8034 T(x,y * (z * K(x,u))) = T(x,y * z). [para(112(a,1),7978(a,1,2))]. 8035 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(7046(a,1),7978(a,1,2,2))]. 8037 L(K(x,y),y,z) != u | K(x,y) = u. [para(6577(a,2),7984(a,1))]. 8038 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(6886(a,1),7984(a,1,2))]. 8039 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(7032(a,1),8037(a,1))]. 8041 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(7208(a,1),8005(a,1,2,1))]. 8042 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(6382(a,1),8006(a,1,2,1))]. 8044 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1560(a,1),8008(a,1,1))]. 8047 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(7009(a,1),8012(a,1,1,2))]. 8048 K(x * (y * K(z,u)),z) = K(x * y,z). [para(7083(a,1),8012(a,1,1)),flip(a)]. 8049 K((K(x,y) * z) * u,x) = K(z * u,x). [para(122(a,1),8025(a,1,1))]. 8050 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(7208(a,1),8025(a,1,1,1))]. 8051 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(432(a,1),8035(a,1,2))]. 8052 K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6). [para(8035(a,1),5195(a,1,1,1)),flip(a)]. 8053 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(5175(a,1),8041(a,1,2))]. 8054 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5536(a,1),8041(a,1,2)),flip(a)]. 8055 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(5592(a,1),8041(a,1,2))]. 8056 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(7627(a,1),8042(a,1,2))]. 8057 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(263(a,1),8047(a,1,1))]. 8058 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7527(a,1),8047(a,1,1)),flip(a)]. 8059 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(5175(a,1),8050(a,1,1))]. 8060 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(5226(a,1),8050(a,1,1)),flip(a)]. 8061 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(6878(a,1),8056(a,1,2))]. 8062 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(255,a,7519,a(flip),b,7963,a)]. 8063 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [hyper(255,a,7542,a(flip),b,7965,a)]. 8064 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(255,a,7496,a,b,7971,a(flip)),flip(a)]. 8065 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(114(a,2),7981(a,1,2))]. 8066 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(255,a,7452,a,b,7990,a(flip)),flip(a)]. 8067 K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). [para(5608(a,1),7992(a,1,2,1)),flip(a)]. 8069 K(K(x,y) * z,x) != u | K(z,x) = u. [para(8022(a,2),8008(a,1))]. 8070 K(x * y,x) != z | K(y * x,x) = z. [para(5175(a,1),8069(a,1,1))]. 8071 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(8032(a,1),5821(a,1,1,2))]. 8075 K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). [para(7028(a,1),8048(a,1,1,2))]. 8076 K(x * (K(y,z) * u),y) = K(x * u,y). [para(7559(a,1),8048(a,1,1,2))]. 8077 K(K(x,T(y,z)) * u,z) = K(K(x,y) * u,z). [para(7548(a,1),8049(a,1,1,1))]. 8078 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(2807(a,1),8062(a,1,2,1)),flip(a)]. 8080 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(8076(a,1),5994(a,1,2,1,2)),flip(a)]. 8081 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(37(a,1),8044(a,1,1,2))]. 8082 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [hyper(255,a,5252,a,b,7826,a)]. 8085 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(18(a,1),8082(a,1,2,2,1))]. 8086 T(x,y \ ((x \ z) * x)) != u | x * K(x,y \ z) = u. [para(8082(a,2),5353(a,1))]. 8087 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(8082(a,1),5195(a,1,1,1)),flip(a)]. 8088 T(x,(y / x) \ z) = T(x,y \ (z * x)). [hyper(255,a,8062,a,b,8085,a),flip(a)]. 8089 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(255,a,7519,a,b,8085,a),flip(a)]. 8090 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(8085(a,1),5253(a,1,2,1))]. 8091 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(8088(a,1),5195(a,1,1,1))]. 8092 (x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x. [hyper(255,a,5302,a(flip),b,7839,a)]. 8093 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5641(a,1),7843(a,1,1,1)),flip(a)]. 8094 (x \ (y * T(x,z))) * x != u * T(x,z) | T(y,x) = u. [para(7854(a,2),25(a,1))]. 8095 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(6621,a,7887,a),flip(a)]. 8096 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(7921(a,2),7091(a,1,2))]. 8097 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(6837(a,1),7927(a,1,1,1)),flip(a)]. 8098 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(5325,a,7931,a)]. 8099 K(x,K(y,z)) = K(z,K(y,x)). [hyper(255,a,7783,a(flip),b,8098,a(flip))]. 8100 K(K(x,y),z) = K(x,K(y,z)). [hyper(6099,a,8099,a)]. 8101 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(255,a,8098,a(flip),b,8099,a)]. 8103 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [para(8099(a,1),104(a,1,2))]. 8104 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(8099(a,1),5208(a,2,1)),flip(a)]. 8105 x * K(y,K(z,x)) = T(x,K(z,y)). [para(8099(a,1),5252(a,2,2)),flip(a)]. 8106 K(x,K(y,z)) * z = T(z,K(y,x)). [para(8099(a,1),5263(a,2,1)),flip(a)]. 8107 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(8099(a,1),5227(a,1,1))]. 8110 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(8099(a,1),6093(a,1,1))]. 8112 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(8099(a,1),6094(a,1,2))]. 8113 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(8099(a,1),6096(a,1,1))]. 8115 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(8099(a,1),7549(a,1,2))]. 8116 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [para(8099(a,1),7924(a,1,1))]. 8117 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(255,a,6209,a(flip),b,8100,a)]. 8118 R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). [hyper(255,a,6358,a,b,8100,a(flip)),flip(a)]. 8119 T(x,K(y,z)) * K(y,K(z,x)) = x. [para(8100(a,1),5194(a,1,2))]. 8120 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(8100(a,1),5255(a,1,2))]. 8122 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(8100(a,1),6119(a,1))]. 8123 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(8100(a,1),6476(a,2,1))]. 8124 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(8100(a,1),6618(a,1,2))]. 8128 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(8017(a,1),8100(a,1,1)),flip(a)]. 8129 K(x,K(y,z / y)) = K(x,K(y,z)). [para(21(a,1),8101(a,1,2,2)),flip(a)]. 8130 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(100(a,1),8101(a,1,2,2))]. 8131 K(x,K(y,y * z)) = K(x,K(y,z)). [para(5842(a,1),8101(a,1,2))]. 8132 T(x,K(y,y * z)) = K(z,K(y,x)) * x. [para(7782(a,1),8106(a,1,1)),flip(a)]. 8133 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(8106(a,1),8063(a,1,2,2))]. 8134 K(x,K(y,z)) = K(y,K(x,z)). [hyper(6097,a,8110,a)]. 8135 K(K(x,y),z) = K(y,K(z,x)). [hyper(5384,a,8110,a)]. 8136 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(8110(a,1),6097(a,1))]. 8137 K(K(x,y),z) = K(y,K(x,z)). [hyper(255,a,8100,a,b,8134,a),flip(a)]. 8138 K(x,K(y,z)) = K(z,K(x,y)). [hyper(255,a,8099,a,b,8134,a)]. 8139 K(x,K(x * y,z)) = K(y,K(x,z)). [hyper(255,a,7782,a(flip),b,8134,a)]. 8140 x * K(y,K(x,z)) = T(x,K(y,z)). [para(8134(a,1),5252(a,2,2)),flip(a)]. 8141 K(x,K(y,z)) * y = T(y,K(x,z)). [para(8134(a,1),5263(a,2,1)),flip(a)]. 8143 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(5842(a,2),8134(a,1,2))]. 8144 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(8134(a,1),6094(a,1,2))]. 8146 K(x,K(T(y,z),u)) = K(y,K(x,T(u,z))). [para(7542(a,2),8134(a,1,2))]. 8147 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(7728(a,1),8134(a,1,2)),flip(a)]. 8148 K(x,y) * K(y,K(z,x)) = K(x,T(y,z)). [para(8134(a,1),7549(a,1,2))]. 8149 K(x,K(y,K(x,z) * u)) = K(y,K(x,u)). [para(7994(a,1),8134(a,1,2)),flip(a)]. 8150 x * K(y,K(z,x)) = T(x,K(y,z)). [para(8134(a,1),8105(a,1,2))]. 8151 K(x,K(y,z)) * z = T(z,K(x,y)). [para(8134(a,1),8106(a,1,1))]. 8152 K(K(x,y),z) = K(x,K(z,y)). [hyper(255,a,8099,a,b,8135,a)]. 8153 K(K(x,y),z) = K(z,K(x,y)). [hyper(255,a,8099,a,b,8137,a)]. 8154 K(x,K(y,z)) = K(x,K(z,y)). [hyper(255,a,8135,a(flip),b,8137,a(flip))]. 8155 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(8137(a,1),5175(a,1,1))]. 8156 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(8137(a,1),6119(a,1))]. 8157 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(6209(a,1),8137(a,1,1)),flip(a)]. 8158 x * K(K(y,z),x) = T(x,K(y,z)). [para(8137(a,2),8105(a,1,2))]. 8159 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(255,a,7567,a,b,8138,a),flip(a)]. 8160 K(x,K(y,x \ z)) = K(z,K(x,y)). [hyper(255,a,7784,a(flip),b,8138,a)]. 8161 K(x,K(y,z)) * y = T(y,K(z,x)). [para(8138(a,1),5263(a,2,1)),flip(a)]. 8164 K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. [para(8138(a,2),5634(a,1,1))]. 8165 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(8138(a,2),6245(a,1,1))]. 8169 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7542(a,1),8138(a,1,2))]. 8170 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(8138(a,2),7548(a,1,1))]. 8173 K(x,K(y,z)) * x = T(x,K(z,y)). [para(8138(a,1),8106(a,1,1))]. 8176 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(8152(a,1),6119(a,1))]. 8177 K(x,y) * K(z,K(x,y)) = T(K(x,y),z). [para(8153(a,1),5252(a,2,2)),flip(a)]. 8178 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(8153(a,1),5382(a,1,1))]. 8179 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(8153(a,1),5560(a,1,1))]. 8180 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(8153(a,1),5622(a,1,1))]. 8183 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(8153(a,1),6119(a,1))]. 8185 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(6430(a,1),8154(a,1,2)),flip(a)]. 8187 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(8154(a,1),7549(a,1,2))]. 8188 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(8119(a,1),8034(a,1,2,2)),flip(a)]. 8189 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(4680(a,1),8129(a,1,2))]. 8190 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(5374(a,1),8129(a,1,2))]. 8191 K(x * y,x) * K(z,K(x,y)) = K(x * y,T(x,z)). [para(8131(a,1),7549(a,1,2))]. 8192 K(x,K(x * y,z)) = K(x,K(y,z)). [hyper(255,a,8134,a,b,8139,a)]. 8193 T(x,K(y,z)) = T(x,K(z,y)). [hyper(255,a,8105,a(flip),b,8150,a(flip))]. 8194 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [hyper(6947,a,8193,a),flip(a)]. 8195 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(6941,a,8193,a)]. 8196 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(6871,a,8193,a),flip(a)]. 8197 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(6838,a,8193,a),flip(a)]. 8198 T(T(x,K(y,z)),K(y,z)) = x. [hyper(6800,a,8193,a)]. 8199 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(5717,a,8193,a)]. 8200 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(255,a,7852,a(flip),b,8193,a)]. 8201 T(x * y,K(z,y)) = y * T(x,T(y,z)). [hyper(255,a,6907,a(flip),b,8193,a)]. 8203 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(8193(a,1),4519(a,1,2))]. 8205 T(T(x,y),K(z,u)) != w | T(T(x,K(u,z)),y) = w. [para(8193(a,1),5829(a,1))]. 8207 T(T(x,K(y,z)),K(y,z)) != u | u = x. [para(8193(a,1),6800(a,1,1))]. 8208 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(8193(a,1),7855(a,1,1))]. 8209 T(x,K(y,z)) * z = z * T(x,T(z,y)). [para(8193(a,1),7859(a,1,1))]. 8212 T(K(x,y),z) * z = z * K(x,y). [para(8198(a,1),4584(a,1,2))]. 8214 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(8198(a,1),6800(a,1,1)),flip(b)]. 8216 K(x,K(y,z)) * (z * R(K(y,u),w,v5)) = T(z * R(K(y,u),w,v5),K(x,y)). [para(7987(a,1),8151(a,1,1,2))]. 8217 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(8158(a,1),7130(a,1,3)),flip(a)]. 8218 K(x,K(y,x \ z)) = K(x,K(y,z)). [hyper(255,a,8138,a,b,8160,a)]. 8219 K(x,K(y,x \ z)) = K(x,K(z,y)). [hyper(255,a,8134,a,b,8160,a)]. 8220 T(x,K(y,x \ z)) = K(z,K(x,y)) * x. [para(8160(a,1),5263(a,2,1))]. 8222 K(x,K(y \ z,y)) = K(x,K(z / y,z)). [para(6409(a,1),8190(a,1,2))]. 8223 K(x,K(x \ y,z)) = K(x,K(y,z)). [para(19(a,1),8192(a,1,2,1)),flip(a)]. 8224 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(8200(a,1),6102(a,1,1))]. 8225 K(T(x,T(y,z)),z) = K(T(x,y),z). [para(8200(a,1),7524(a,1,1))]. 8226 K(x,T(T(y,z),K(u,y * z))) = K(x,T(y,T(y * z,u))). [para(8200(a,1),7738(a,1,2)),flip(a)]. 8227 T(T(K(x,y),z),z) = K(x,y). [hyper(393,a,8212,a)]. 8228 (x * T(x \ y,z)) / y = T(K(x \ y,z),y). [hyper(81,a,6643,a,b,8212,a)]. 8229 T(K(x \ y,z),x) = K(y / x,z). [hyper(23,a,7626,a,b,8212,a)]. 8230 T(K(x \ y,z),y) = K(y / x,z). [hyper(23,a,6788,a,b,8212,a)]. 8231 T(K(x,T(y,z)),z) = K(x,y). [hyper(23,a,7559,a(flip),b,8212,a)]. 8233 K(x \ y,z) * y = y * K(y / x,z). [para(6755(a,1),8212(a,1,1))]. 8234 K(T(x,y),z) * y = y * K(x,z). [para(7522(a,2),8212(a,1,1))]. 8235 K(x,T(y,z)) * z = z * K(x,y). [para(7539(a,2),8212(a,1,1))]. 8236 K(x,T(T(y,z),z)) = K(x,y). [hyper(255,a,7781,a,b,8227,a(flip)),flip(a)]. 8237 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(8227(a,1),183(a,1,2,1)),flip(a)]. 8238 R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). [para(8227(a,1),184(a,1,2,1)),flip(a)]. 8239 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(8227(a,1),206(a,1,2,2,1))]. 8242 K(T(x,y),T(z,y)) = K(x,z). [hyper(7698,a,8231,a)]. 8243 K(x \ y,T(z,y)) = K(y / x,z). [hyper(6936,a,8231,a)]. 8244 K(T(x,y) \ 1,T(z,y)) = K(x \ 1,z). [hyper(5966,a,8231,a)]. 8246 (x * K(y,z)) / x = K(y,T(z,x)). [para(8231(a,1),167(a,1,1,2))]. 8248 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(8231(a,1),184(a,1,2,1)),flip(a)]. 8249 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(8231(a,1),7526(a,1,1)),flip(a)]. 8250 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [hyper(255,a,7583,a,b,8236,a(flip)),flip(a)]. 8251 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(255,a,7885,a(flip),b,8236,a(flip))]. 8252 K(x,T(y \ z,z)) = K(x,z / y). [hyper(255,a,7849,a(flip),b,8236,a(flip)),flip(a)]. 8253 K((x * y) / x,z) = K(y,T(z,x)). [hyper(255,a,7586,a(flip),b,8236,a(flip))]. 8254 K(x \ y,T(z,x)) = K(y / x,z). [hyper(255,a,7584,a(flip),b,8236,a(flip)),flip(a)]. 8255 K(x,T(y \ z,y)) = K(x,z / y). [para(129(a,1),8236(a,1,2,1))]. 8256 K(x,(y * z) / y) = K(x,T(z,y)). [para(166(a,1),8236(a,1,2,1)),flip(a)]. 8257 K(T(x,y),z \ y) = K(x,y / z). [hyper(7573,a,8242,a)]. 8259 K(K(x,y) * z,T(u,z)) = K(z * K(x,y),u). [hyper(255,a,7621,a(flip),b,8242,a(flip)),flip(a)]. 8260 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(45(a,2),8242(a,1,1))]. 8261 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(45(a,2),8242(a,1,2))]. 8262 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(47(a,2),8242(a,1,2))]. 8263 K(T(x,y),y \ z) = K(x,z / y). [para(129(a,1),8242(a,1,2))]. 8264 K(x,(y * z) / y) = K(T(x,y),z). [para(166(a,1),8242(a,1,2)),flip(a)]. 8265 K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). [para(703(a,2),8242(a,1,2)),flip(a)]. 8267 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(1061(a,1),8242(a,1,2))]. 8268 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(4506(a,1),8242(a,1,2))]. 8269 K(x * K(y,x),z) = K(x,T(z,y)). [para(5216(a,1),8242(a,1,1)),flip(a)]. 8270 x * K(T(x,y),T(z,y)) = T(x,z). [para(8242(a,2),5252(a,2,2)),flip(a)]. 8271 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(8242(a,1),5681(a,1,1)),flip(a)]. 8272 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(8242(a,1),6382(a,1,1))]. 8273 L(K(x,y),z * T(y,u),w) = K(T(x,u),L(T(y,u),z,w)). [para(8242(a,1),7009(a,1,1))]. 8274 L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)). [para(8242(a,1),7046(a,1,1))]. 8276 K(x,T(y,z)) * (z * K(y,x)) = z. [para(8242(a,1),7650(a,1,2,2))]. 8278 K(x,K(y,x * z)) = K(x,K(y,z)). [para(18(a,1),8218(a,1,2,2)),flip(a)]. 8279 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(255,a,5998,a,b,8229,a)]. 8281 K((x * y) \ z,T(x,y)) = K(z / (x * y),x). [hyper(255,a,6951,a(flip),b,8229,a(flip)),flip(a)]. 8282 K(x / y,x / z) = K(y \ x,z \ x). [hyper(6900,a,8230,a),flip(a)]. 8283 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(255,a,6951,a(flip),b,8230,a(flip)),flip(a)]. 8285 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(7621(a,1),8234(a,1,1))]. 8286 K(x,T(y \ 1,z)) = K(x,y \ K(y,z)). [hyper(23,a,6431,a,b,8235,a)]. 8288 K(x,T((y \ z) \ 1,y)) = K(x,y / z). [hyper(23,a,6113,a(flip),b,8235,a)]. 8289 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(81,a,8235,a(flip),b,5221,a)]. 8290 K(x,T(y,z)) * z != z * u | K(x,y) = u. [para(8235(a,2),24(a,1))]. 8291 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(8235(a,1),574(a,1,2,1)),flip(a)]. 8293 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(8235(a,1),5220(a,1,2)),flip(a)]. 8294 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(6956(a,1),8235(a,1,1))]. 8295 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. [para(8235(a,1),5630(a,1,1,3)),flip(a)]. 8296 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(8235(a,1),8063(a,1,2,2))]. 8297 K(x,T(y * K(x,z),u)) = K(x,T(y,u)). [para(8235(a,1),8067(a,1,2,1))]. 8298 K(x \ (y \ z),T(y,z)) = K((y \ z) / x,y). [hyper(7534,a,8243,a)]. 8299 L(K(x \ y,T(z,u * y)),y,u) = K((u * y) / (u * x),z). [hyper(7074,a,8243,a)]. 8301 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(7957(a,1),8243(a,1,2))]. 8304 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(8246(a,1),769(a,1,1)),flip(a)]. 8305 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [hyper(7914,a,8252,a)]. 8307 K(x,T(y \ (x * z),z)) = K(x,(x * z) / y). [hyper(255,a,7683,a(flip),b,8252,a(flip)),flip(a)]. 8308 K(x,y / (y / z)) = K(x,T(z,y)). [para(73(a,1),8252(a,1,2,1)),flip(a)]. 8310 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(100(a,1),8253(a,1,1,1))]. 8311 K(R((x * y) / x,z,u),w) = K(R(y,z,u),T(w,x)). [para(775(a,2),8253(a,1,1))]. 8314 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(4148(a,1),8253(a,1,1))]. 8315 K((x \ y) \ 1,T(z,y)) = K(x / y,z). [hyper(255,a,6707,a,b,8254,a(flip)),flip(a)]. 8317 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(7970(a,1),8254(a,1,2))]. 8318 K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). [para(29(a,2),8255(a,1,2,1)),flip(a)]. 8322 K(x,L(y / (z \ u),z \ u,z)) = K(x,T(u \ (z * y),z \ u)). [para(785(a,1),8256(a,1,2))]. 8325 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(4454(a,1),8263(a,1,1))]. 8327 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(7967(a,1),8263(a,1,1))]. 8328 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(255,a,5446,a,b,8264,a(flip)),flip(a)]. 8329 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(775(a,2),8264(a,1,2))]. 8330 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(8058(a,1),8269(a,1,1,2)),flip(a)]. 8331 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(5307(a,1),8270(a,1,2,2)),flip(a)]. 8332 K(x * T(y,z),T(y,u)) = K(x * y,T(y,u)). [para(8270(a,1),8048(a,1,1,2))]. 8333 K(x,T(y,z * K(u,x))) = K(x,T(y,z)). [para(8276(a,1),8063(a,1,2,2)),flip(a)]. 8336 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(8308(a,1),7322(a,1,2))]. 8337 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(8308(a,1),6922(a,1,1,2))]. 8338 K(x,y / (y / z)) != u | K(T(x,y),z) = u. [para(8308(a,2),7658(a,1))]. 8342 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(8137(a,2),8122(a,1))]. 8345 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7542(a,1),8183(a,1,2))]. 8346 K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. [para(7584(a,2),8183(a,1,2))]. 8347 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(8101(a,2),8183(a,1))]. 8352 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(7659(a,1),8104(a,1,1,2))]. 8353 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(8112(a,2),7895(a,1))]. 8354 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(8003(a,1),8112(a,1,2,2)),flip(a)]. 8355 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7553(a,1),8113(a,1,1,2)),flip(a)]. 8356 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(8115(a,1),24(a,1))]. 8357 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(7247(a,1),8115(a,1,2,2))]. 8358 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(8116(a,1),7957(a,1,2))]. 8359 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(8116(a,1),8041(a,1,2))]. 8360 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(129(a,1),8358(a,1,2,2)),flip(a)]. 8362 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(255,a,8100,a(flip),b,8128,a)]. 8364 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(255,a,8106,a(flip),b,8132,a)]. 8366 T(x,K(y,y * T(x,z))) = x. [hyper(255,a,7593,a(flip),b,8364,a)]. 8367 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(19(a,1),8364(a,1,2,2)),flip(a)]. 8369 T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). [hyper(40,a,8366,a)]. 8370 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(255,a,7539,a(flip),b,8133,a(flip)),flip(a)]. 8371 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7542(a,1),8144(a,1,2,2))]. 8372 K(x,y) * K(y,K(z,x)) != u | K(x,T(y,z)) = u. [para(8144(a,2),7895(a,1))]. 8373 K(x,K(T(y,z),u)) = K(y,K(u,T(x,z))). [hyper(8122,a,8146,a)]. 8374 K(x,y) * K(y,K(z,T(x,u))) = K(x,T(y,T(z,u))). [para(7542(a,1),8148(a,1,2,2))]. 8375 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(255,a,8134,a,b,8149,a)]. 8376 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(2081,a,8159,a)]. 8377 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(7879(a,1),8169(a,2,2))]. 8380 R(K(x,y),z,u) \ R(T(K(x,y),w),z,u) = K(w,R(K(x,y),z,u)). [para(8177(a,1),5994(a,1,2,1))]. 8386 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(255,a,8201,a,b,8209,a),flip(a)]. 8387 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(255,a,8161,a(flip),b,8220,a)]. 8389 T(x,K(y,x * z)) = T(x,K(y,z)). [para(18(a,1),8387(a,1,2,2)),flip(a)]. 8392 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(255,a,8193,a,b,8389,a)]. 8394 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(8392(a,1),43(a,1,1)),flip(a)]. 8395 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(8392(a,1),8208(a,1,1))]. 8397 K(x,K(y / z,y)) = K(x,K(z,z \ y)). [hyper(8183,a,8222,a),flip(a)]. 8398 K(x \ (y \ z),y) * z = z * K(z / (y * x),y). [para(7505(a,1),8233(a,1,1))]. 8402 K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,y \ x)). [para(4506(a,1),8244(a,1,1,1)),flip(a)]. 8403 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(255,a,5853,a,b,8249,a)]. 8404 K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). [para(8249(a,1),5190(a,2,2))]. 8407 T(K(x \ y,z),x) != u | K(y / x,z) = u. [para(8279(a,2),6146(a,1))]. 8409 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(7292,a,8282,a)]. 8410 K(x \ 1,y) * K(y,x \ K(x,z)) = K(x \ 1,K(y,z)). [para(8286(a,1),8159(a,1,2))]. 8411 K(x,T(1 / (y \ z),y)) = K(x,y / z). [hyper(255,a,3710,a,b,8288,a(flip)),flip(a)]. 8415 (x * (K(y,z) * K(x,u))) * K(z,y) = T(x,T(u,K(y,z))). [hyper(6674,a,8293,a)]. 8416 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(8293(a,2),6382(a,1,2))]. 8417 (x * (K(y,z) * K(x,u))) * K(z,y) != w | T(x,T(u,K(y,z))) = w. [para(8293(a,1),6675(a,1,1)),flip(b)]. 8418 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(7053(a,1),8296(a,1,2,2)),flip(a)]. 8419 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(7231(a,1),8296(a,1,2,2)),flip(a)]. 8420 K(x,T(T(K(y,x) * z,u),w)) = K(x,T(T(z,u),w)). [para(7124(a,1),8297(a,1,2,1)),flip(a)]. 8421 K((x \ y) \ 1,T(z,y)) = K((y / x) \ 1,z). [hyper(255,a,5998,a,b,8315,a)]. 8422 K(x,T(y,z * L(K(u,x),w,v5))) = K(x,T(y,z)). [para(6475(a,1),8333(a,1,2,2,2))]. 8423 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(255,a,7797,a(flip),b,8360,a)]. 8424 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(70(a,1),8423(a,1,2,2)),flip(a)]. 8426 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5608(a,1),8362(a,1,1)),flip(a)]. 8427 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(8362(a,1),6642(a,1,3))]. 8428 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(8235(a,1),8362(a,1,1))]. 8429 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(7345,a,8427,a)]. 8430 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(255,a,8219,a(flip),b,8373,a(flip))]. 8431 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(6053(a,1),8375(a,1,2,2)),flip(a)]. 8432 K(x,K(y,z * K(u,x))) = K(x,K(y,z)). [para(8276(a,1),8375(a,1,2,2)),flip(a)]. 8433 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(8376(a,1),6675(a,1,1)),flip(b)]. 8434 x \ T(y,K(z,x)) = T(x \ y,K(z,x)). [hyper(5047,a,8386,a)]. 8435 K(x,K(y / z,y)) = K(x,K(z,y)). [hyper(255,a,8190,a(flip),b,8397,a)]. 8436 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(70(a,1),8435(a,1,2,1)),flip(a)]. 8437 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(8183,a,8436,a)]. 8438 K(x,K(y,z \ y)) = K(x,K(y,z)). [hyper(255,a,8154,a,b,8437,a)]. 8439 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(255,a,8189,a,b,8437,a(flip)),flip(a)]. 8440 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(255,a,8189,a,b,8438,a(flip)),flip(a)]. 8442 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(8183,a,8439,a)]. 8443 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(8156,a,8439,a)]. 8444 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(255,a,8134,a,b,8439,a)]. 8445 K(x,K(y,z / (u * z))) = K(x,K(u,y)). [para(5782(a,2),8439(a,1,2))]. 8446 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6580(a,1),8439(a,1,2)),flip(a)]. 8447 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(8439(a,2),8183(a,1))]. 8448 K(x,K(y \ 1,z)) = K(z,K(x,y)). [hyper(8176,a,8440,a)]. 8449 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(8156,a,8440,a)]. 8451 T(x,K(y,z \ 1)) = x * K(x,K(y,z)). [para(8440(a,1),5252(a,2,2))]. 8454 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(8440(a,1),8112(a,1,2))]. 8456 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(255,a,8134,a,b,8442,a)]. 8458 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(6217(a,2),8442(a,1,2))]. 8459 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(255,a,8134,a,b,8443,a)]. 8463 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(6225(a,1),8448(a,1,2)),flip(a)]. 8464 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(7107,a,8449,a)]. 8479 T(x,T(T(y,z),z)) = T(x,y). [hyper(22,a,7787,a,b,8403,a(flip)),flip(a)]. 8480 (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). [para(8403(a,2),180(a,1,1,1))]. 8481 T(x,T(y \ z,y)) = T(x,z / y). [para(129(a,1),8479(a,1,2,1))]. 8482 T(x,(y * z) / y) = T(x,T(z,y)). [para(166(a,1),8479(a,1,2,1)),flip(a)]. 8484 T(x,y * K(z,y)) = T(x,T(y,z)). [para(5216(a,1),8479(a,1,2,1)),flip(a)]. 8486 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(8479(a,1),8095(a,2,2))]. 8489 T(x,(y * L(z,u,w)) / y) = T(x,L(T(z,y),u,w)). [para(45(a,2),8482(a,2,2))]. 8490 T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). [para(775(a,2),8482(a,1,2))]. 8492 T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). [hyper(255,a,4889,a,b,8484,a(flip)),flip(a)]. 8498 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(8424(a,1),7861(a,1,2))]. 8500 K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). [para(8432(a,1),8151(a,1,1))]. 8501 T(x \ K(x,y),K(z,x)) = x \ K(x,y). [para(2074(a,1),8434(a,1,2)),flip(a)]. 8502 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(8445(a,2),8183(a,1))]. 8503 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(7120(a,1),8446(a,1,2)),flip(a)]. 8504 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(8446(a,1),8183(a,1))]. 8505 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(255,a,5252,a,b,8451,a)]. 8507 T(x,K(y \ 1,z)) = T(x,K(z,y)). [hyper(8214,a,8505,a)]. 8508 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(255,a,7852,a(flip),b,8505,a(flip))]. 8518 T(x,T(y,z)) * T(z,x) = z * T(x,y). [hyper(5936,a,8486,a)]. 8519 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(81,a,8486,a(flip),b,5538,a(flip))]. 8521 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(7580(a,1),8486(a,1,1))]. 8523 T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). [para(8501(a,1),8208(a,1,1)),flip(a)]. 8524 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(255,a,7852,a(flip),b,8508,a(flip))]. 8525 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(255,a,5252,a(flip),b,8524,a)]. 8529 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [hyper(81,a,274,a(flip),b,8518,a)]. 8530 (x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u. [para(8518(a,1),304(a,1,1)),flip(b)]. 8532 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1990(a,1),8519(a,1,1,2))]. 8533 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(7970(a,1),8519(a,1,1,2)),flip(a)]. 8535 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(5323,a,8525,a)]. 8539 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(255,a,7884,a(flip),b,8535,a(flip)),flip(a)]. 8540 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(255,a,7883,a(flip),b,8535,a(flip)),flip(a)]. 8542 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(255,a,7536,a(flip),b,8535,a(flip)),flip(a)]. 8544 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6850(a,1),8535(a,1,2))]. 8548 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(584(a,1),8539(a,1,2)),flip(a)]. 8551 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(8544(a,1),7900(a,1))]. 8555 K(T(x,y \ z),y) != u | K(T(x,z),y) = u. [para(8268(a,2),8338(a,1))]. 8558 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(129(a,1),8359(a,1,2,2)),flip(a)]. 8559 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(7522(a,2),8407(a,1))]. 8560 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(7539(a,2),8407(a,1))]. 8561 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(5786(a,1),8447(a,1,2))]. 8565 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(7883(a,2),8551(a,1))]. 8566 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(4455(a,1),8559(a,1,1))]. 8567 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(7589(a,1),8559(a,1))]. 8571 K(x,T(y * z,z)) != u | K(x,T(y * z,y)) = u. [para(7541(a,1),8565(a,1))]. 8572 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(255,a,6039,a(flip),b,7937,a(flip))]. 8573 K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). [para(19(a,1),7941(a,1,2,2,2))]. 8574 K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). [para(8082(a,1),7941(a,1,2)),flip(a)]. 8575 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(8089(a,2),7941(a,1,2))]. 8576 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(5255,a,7945,a),flip(a)]. 8577 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(255,a,7792,a,b,8576,a(flip)),flip(a)]. 8579 T(x,T((y / z) \ 1,y)) = T(x,y \ z). [para(73(a,1),8577(a,2,2,2))]. 8582 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [para(8579(a,1),8225(a,1,1)),flip(a)]. 8585 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(3513,a,8103,a),flip(a)]. 8586 K(x,K(y,R(x,z,u))) = 1. [para(126(a,1),8585(a,1,2,2,1))]. 8587 T(x,K(y,R(x,z,u))) = x. [hyper(42,a,8586,a)]. 8588 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(8587(a,1),43(a,1,1)),flip(a)]. 8589 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(6673(a,2),8155(a,1,2))]. 8590 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(8194(a,1),7542(a,1,1)),flip(a)]. 8591 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(8481(a,1),8224(a,1,1))]. 8592 T(K(x \ y,z),y) != u | K(y / x,z) = u. [para(8228(a,1),5493(a,1))]. 8593 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(7539(a,2),8592(a,1))]. 8594 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4506(a,1),8250(a,1,1,1)),flip(a)]. 8595 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(8250(a,1),8050(a,1,1,1))]. 8596 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(255,a,7944,a(flip),b,8259,a(flip))]. 8597 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1795(a,1),8260(a,1,1))]. 8598 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1795(a,1),8261(a,1,2))]. 8599 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(8403(a,1),8271(a,1,1))]. 8601 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(255,a,7216,a(flip),b,8283,a)]. 8602 K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. [para(8283(a,2),7217(a,1))]. 8604 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(255,a,6718,a(flip),b,8294,a)]. 8605 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(6105(a,1),8604(a,1,1))]. 8607 K(x \ (y \ z),y) * z = z * K((y \ z) / x,y). [para(8298(a,1),7559(a,1,2)),flip(a)]. 8608 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(255,a,6390,a(flip),b,8307,a)]. 8610 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(8560,a,8314,a)]. 8611 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(8369(a,1),7781(a,2,1))]. 8612 K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w. [para(8377(a,2),8136(a,1))]. 8613 T(T(x,y),K(z,x * y)) = T(x,T(y,z)). [hyper(255,a,7855,a(flip),b,8394,a)]. 8615 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(5830,a,8395,a)]. 8616 K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,x)). [para(73(a,1),8421(a,1,1,1)),flip(a)]. 8617 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8429(a,2),5619(a,1,1))]. 8618 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(255,a,8112,a(flip),b,8454,a(flip))]. 8621 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(8618(a,1),7871(a,1))]. 8631 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(129(a,1),8498(a,1,2,2)),flip(a)]. 8633 T(x,y) * T(x \ K(x,z),x) = (x \ K(x,z)) * T(x,y). [para(8523(a,1),127(a,1,2))]. 8635 K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). [hyper(255,a,7819,a(flip),b,8572,a(flip))]. 8636 K(x,T(y,(y * z) \ u)) = K(x,T(y,z \ u)). [para(7518(a,2),8574(a,1,2))]. 8637 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). [hyper(255,a,8115,a,b,8575,a),flip(a)]. 8638 K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). [para(6413(a,1),8589(a,1,1,2))]. 8639 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(8100(a,1),8599(a,2,1))]. 8641 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(5680,a,8605,a)]. 8642 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(8608(a,2),7559(a,2,1)),flip(a)]. 8643 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(8615(a,1),182(a,1,2))]. 8646 T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). [para(8635(a,1),5291(a,2,2,2))]. 8647 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(7900,a,8636,a),flip(a)]. 8652 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [hyper(255,a,6408,a,b,8647,a)]. 8653 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(255,a,6408,a,b,8652,a(flip)),flip(a)]. 8654 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(18(a,1),8653(a,1,2,2)),flip(a)]. 8655 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(255,a,7046,a(flip),b,7440,a)]. 8656 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(439(a,1),8655(a,1,2)),flip(a)]. 8657 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(5600(a,1),7600(a,1))]. 8659 K(x,y) * (T(z,K(x,y)) * R(K(y,u),w,v5)) = (z * K(x,y)) * R(K(y,u),w,v5). [para(7756(a,1),430(a,1,2)),flip(a)]. 8660 L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)). [hyper(255,a,7702,a(flip),b,7804,a)]. 8661 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ (x \ ((y * L(y \ z,u,w)) * x))). [para(1934(a,1),7806(a,1,2,2,2)),flip(a)]. 8662 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(4418(a,1),7807(a,2,2,2,2))]. 8664 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(255,a,6382,a(flip),b,7998,a(flip)),flip(a)]. 8665 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(255,a,7988,a(flip),b,8664,a)]. 8666 K(x,y * K(z,x)) != u | K(x,y) = u. [para(8664(a,1),7483(a,1))]. 8668 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(51(a,1),8665(a,1,2))]. 8669 K(x,y * x) != z | K(x,x * y) = z. [para(104(a,1),8666(a,1,2))]. 8670 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(1560(a,1),8666(a,1,2))]. 8674 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(7047(a,2),8669(a,1))]. 8675 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(255,a,7208,a(flip),b,8010,a(flip)),flip(a)]. 8676 K(R(x,K(y,z),u),z) = K(x,z). [hyper(255,a,8007,a(flip),b,8675,a)]. 8678 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(51(a,1),8676(a,1,1))]. 8679 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(255,a,7046,a(flip),b,8026,a(flip)),flip(a)]. 8680 K(L(x,K(y,z),u),y) = K(x,y). [hyper(255,a,8017,a(flip),b,8679,a)]. 8681 K(L(x,K(y,z),u),y) != w | K(x,y) = w. [para(8679(a,2),8069(a,1))]. 8683 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(241(a,1),8680(a,1,1))]. 8684 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(7759(a,2),8081(a,1))]. 8685 K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. [para(7761(a,1),8081(a,1))]. 8686 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(8115(a,1),8120(a,1))]. 8687 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(8169(a,2),8120(a,1,2))]. 8689 K(x,y / z) != u | T(K(x,z \ y),z) = u. [para(8255(a,1),8686(a,1))]. 8690 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(8430(a,2),8345(a,1))]. 8691 K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. [para(7783(a,1),8353(a,1,2))]. 8693 K(x,T(y,z * (u * K(w,x)))) = K(x,T(y,z * u)). [para(112(a,1),8422(a,1,2,2))]. 8694 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(7522(a,1),8657(a,1,1))]. 8695 K(x \ (y * z),z) != u | K((x / z) \ y,z) = u. [para(21(a,1),8684(a,1,1,1))]. 8697 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(7846(a,1),8684(a,1))]. 8698 K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. [para(6098(a,2),8694(a,1))]. 8699 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(7030(a,2),8697(a,1))]. 8700 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(422,a,7419,a)]. 8701 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [hyper(7305,a,8700,a)]. 8704 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(255,a,8252,a(flip),b,7437,a(flip))]. 8705 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(255,a,8608,a(flip),b,8704,a(flip))]. 8706 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(255,a,8307,a(flip),b,8704,a(flip)),flip(a)]. 8707 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(8704(a,2),7651(a,1,1))]. 8708 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(27,a,8705,a)]. 8709 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(255,a,8066,a,b,8705,a(flip)),flip(a)]. 8710 K(x,((x * y) / z) \ x) = K(x,z / y). [para(18(a,1),8705(a,1,2,2)),flip(a)]. 8711 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(8705(a,1),6373(a,1,1))]. 8712 K(x,(y * x) / z) = K(x,(x * y) / z). [hyper(255,a,8066,a,b,8706,a),flip(a)]. 8713 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(19(a,1),8706(a,1,2,1)),flip(a)]. 8714 K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u. [para(8706(a,1),6392(a,1))]. 8715 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [hyper(8689,a,8709,a)]. 8716 K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). [hyper(255,a,8305,a,b,8709,a(flip)),flip(a)]. 8718 x * K(x,(x * y) / z) = T(x,(y * x) / z). [para(8712(a,1),5252(a,2,2)),flip(a)]. 8719 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(8712(a,2),6392(a,1))]. 8720 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(8038,a,8713,a)]. 8722 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(20(a,1),8720(a,1,2,2))]. 8723 K(x,y / ((x \ z) * x)) = K(x,y / z). [hyper(255,a,8713,a(flip),b,8722,a(flip))]. 8724 K(x,y / (z * x)) = K(x,y / (x * z)). [para(18(a,1),8723(a,1,2,2,1))]. 8725 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(255,a,7395,a(flip),b,8724,a)]. 8726 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(123(a,2),8724(a,2,2)),flip(a)]. 8728 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(21(a,1),8725(a,1,2,2,1)),flip(a)]. 8729 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(4656(a,1),8725(a,1,2,2,1))]. 8730 K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. [para(8305(a,2),8719(a,1))]. 8731 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(255,a,5390,a(flip),b,8726,a(flip)),flip(a)]. 8732 T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)). [para(7465(a,1),1061(a,1,1,2))]. 8733 T(K(x,y) * (z * K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * z). [para(7465(a,1),8196(a,1,1))]. 8734 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(47(a,2),7547(a,2,2))]. 8735 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(7614(a,1),7568(a,1,1,2)),flip(a)]. 8736 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(8099(a,1),7570(a,1,1))]. 8737 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(255,a,7648,a(flip),b,7609,a(flip))]. 8738 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(8479(a,1),8737(a,1,1,2))]. 8740 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(47(a,2),7684(a,2,2))]. 8741 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(87,a,7691,a)]. 8743 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(20(a,1),7704(a,1,1,1,1,2))]. 8744 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(255,a,5055,a(flip),b,7706,a(flip))]. 8745 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(7754(a,1),8199(a,1,2))]. 8746 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(27,a,7762,a)]. 8747 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(18(a,1),7762(a,2,2,1,2))]. 8748 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(422,a,7770,a)]. 8749 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(7304,a,8748,a)]. 8750 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(255,a,7349,a(flip),b,7805,a(flip)),flip(a)]. 8751 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(7810(a,1),5564(a,1,2))]. 8752 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4906(a,1),7822(a,1,1))]. 8753 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(23,a,5263,a(flip),b,7829,a),flip(a)]. 8757 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(6189(a,1),8753(a,1,1,2))]. 8758 K(x,y) * K(z \ 1,x) = z * T(z \ K(x,y),x). [para(8753(a,1),6643(a,2,2)),flip(a)]. 8759 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). [para(8757(a,1),5992(a,1,1,1,2)),flip(a)]. 8760 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [hyper(255,a,6634,a(flip),b,7832,a)]. 8761 T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). [para(8760(a,1),5252(a,2,2))]. 8763 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(6672(a,1),8760(a,1,2,1)),flip(a)]. 8764 K(x,((y * K(z,x)) * u) \ w) = K(x,(y * u) \ w). [para(7231(a,1),8760(a,1,2,1)),flip(a)]. 8765 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7559(a,1),8760(a,1,2,1))]. 8766 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7572(a,1),8760(a,1,2,1)),flip(a)]. 8768 K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). [para(6475(a,1),8763(a,1,2,1,2))]. 8769 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(7586(a,1),8763(a,1,2,1,2))]. 8770 K(x,y \ T(x,z)) = K(x,y \ x). [hyper(255,a,7000,a(flip),b,8765,a(flip))]. 8771 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(29(a,2),8765(a,1,2)),flip(a)]. 8772 K(x,T(y,z) \ x) = K(x,T(y \ x,z)). [hyper(255,a,7577,a(flip),b,8770,a(flip))]. 8773 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(129(a,1),8770(a,1,2,2)),flip(a)]. 8774 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(255,a,7730,a(flip),b,8766,a(flip)),flip(a)]. 8775 K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). [hyper(255,a,7598,a(flip),b,8772,a)]. 8777 K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(255,a,6997,a(flip),b,8772,a(flip))]. 8779 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(5536(a,1),8774(a,1,2,2)),flip(a)]. 8781 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(8774(a,1),7539(a,2,1))]. 8782 K(x,y \ (z * K(x,u))) = K(x,y \ z). [para(8235(a,1),8774(a,1,2,2))]. 8783 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(8276(a,1),8774(a,1,2,2)),flip(a)]. 8784 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(6576(a,1),8782(a,1,2,2))]. 8786 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [para(7231(a,1),8782(a,1,2,2)),flip(a)]. 8787 K(x,y \ (z * L(K(u,x),w,v5))) = K(x,y \ z). [para(6475(a,1),8783(a,1,2,2,2))]. 8788 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [hyper(255,a,5252,a,b,8761,a)]. 8789 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(7053(a,1),8788(a,1,2,1)),flip(a)]. 8790 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [para(7559(a,1),8788(a,1,2,1))]. 8791 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(7572(a,1),8788(a,1,2,1)),flip(a)]. 8792 T(x,y \ K(x,z)) = T(x,y \ 1). [hyper(255,a,6854,a(flip),b,8790,a(flip))]. 8793 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(8792(a,1),6082(a,1,2,1))]. 8795 K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). [para(6686(a,1),8775(a,1,2,1))]. 8796 K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). [para(112(a,1),8768(a,1,2,1))]. 8797 K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). [para(112(a,1),8787(a,1,2,2))]. 8798 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(7851(a,1),7323(a,1,3,2))]. 8800 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(255,a,8791,a(flip),b,7912,a(flip)),flip(a)]. 8802 T(x,y \ T(x,z)) = T(x,y \ x). [para(5207(a,1),8800(a,1,2,2)),flip(a)]. 8803 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5846(a,1),8800(a,1,2,2))]. 8805 T(x,T(y,z) \ x) = T(x,T(y \ x,z)). [hyper(255,a,7679,a(flip),b,8802,a(flip))]. 8806 T(x,(T(x,y) / z) \ x) = T(x,z). [para(73(a,1),8802(a,1,2)),flip(a)]. 8808 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(7933(a,1),7279(a,1,2))]. 8809 T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). [hyper(255,a,5291,a,b,7940,a)]. 8810 T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). [para(18(a,1),8809(a,1,2,2,1)),flip(a)]. 8811 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). [para(1151(a,1),8809(a,1,2,2,1)),flip(a)]. 8812 T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). [hyper(255,a,7518,a(flip),b,8810,a(flip)),flip(a)]. 8813 T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). [hyper(255,a,6854,a(flip),b,8812,a(flip))]. 8814 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(18(a,1),7946(a,1,1,2)),flip(a)]. 8815 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(47(a,2),8054(a,1,2,1))]. 8817 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(6483(a,1),8123(a,1,1)),flip(a)]. 8818 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(6672(a,1),8124(a,1,1)),flip(a)]. 8819 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(255,a,8429,a(flip),b,8217,a)]. 8821 T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). [para(47(a,1),8238(a,1,1))]. 8822 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(5832,a,8239,a)]. 8823 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [hyper(255,a,5295,a(flip),b,8822,a(flip))]. 8825 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(7970(a,1),8248(a,1,1,1,2))]. 8828 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(8329(a,1),5252(a,2,2))]. 8830 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(255,a,5082,a,b,8331,a(flip)),flip(a)]. 8831 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(255,a,8112,a(flip),b,8354,a)]. 8834 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(255,a,8113,a(flip),b,8355,a)]. 8835 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(6100(a,1),8834(a,1,2))]. 8836 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4563(a,1),8371(a,1,2,2,2))]. 8837 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(y,K(u / (x * z),x)). [para(8281(a,1),8374(a,1,2,2)),flip(a)]. 8839 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [hyper(255,a,8616,a(flip),b,8402,a(flip))]. 8840 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(104(a,1),8419(a,1,2,2,1))]. 8841 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(x * z,u),w)). [para(5226(a,1),8420(a,1,2,1,1)),flip(a)]. 8842 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(5896(a,1),8458(a,2,2))]. 8843 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(8443(a,1),8464(a,1,1))]. 8844 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(8449(a,1),8464(a,1,1))]. 8845 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(8459(a,1),8464(a,1,1))]. 8847 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(255,a,8843,a(flip),b,8844,a(flip))]. 8850 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(255,a,8844,a(flip),b,8845,a(flip))]. 8851 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(255,a,8843,a(flip),b,8845,a(flip))]. 8852 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(255,a,8817,a(flip),b,8845,a(flip)),flip(a)]. 8856 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(241(a,1),8850(a,2,2,2))]. 8859 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(255,a,8134,a,b,8852,a)]. 8861 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(8859(a,2),8136(a,1))]. 8863 T(x,L((y * z) / y,u,w)) = T(x,L(T(z,y),u,w)). [para(767(a,2),8489(a,1,2))]. 8864 T(x,L(y * K(z,y),u,w)) = T(x,L(T(y,z),u,w)). [para(5431(a,2),8489(a,1,2))]. 8865 T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). [para(47(a,2),8490(a,2,2))]. 8868 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(8529(a,1),6620(a,1,1,1))]. 8869 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(255,a,8519,a(flip),b,8533,a)]. 8870 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(6886(a,1),8869(a,1,2,1)),flip(a)]. 8871 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(8548(a,1),5457(a,1,2))]. 8872 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(8548(a,2),8144(a,2,1))]. 8873 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(255,a,8540,a(flip),b,8573,a)]. 8881 K((x \ y) / z,x) = K(y / (x * z),x). [hyper(22,a,8398,a(flip),b,8607,a(flip))]. 8882 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(255,a,8251,a,b,8610,a),flip(a)]. 8883 K(T(x * y,y) / x,z) = K(y,z). [hyper(8681,a,8882,a),flip(a)]. 8885 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(19(a,1),8883(a,1,1,1,1))]. 8886 K(x \ T(y,x \ y),x) = K(x \ y,x). [hyper(5665,a,8885,a)]. 8887 K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K((T(x,y) / z) \ x,T(x,y) / z). [para(8806(a,1),8886(a,1,1,2))]. 8888 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(8641(a,1),3534(a,1,2)),flip(a)]. 8889 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(255,a,8018,a(flip),b,8683,a)]. 8892 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(7053(a,1),8889(a,1,1,1)),flip(a)]. 8893 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7572(a,1),8889(a,1,1,1)),flip(a)]. 8894 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(8242(a,1),8889(a,1,1,1,2))]. 8897 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(255,a,7727,a(flip),b,8893,a(flip)),flip(a)]. 8899 K(x \ T(y,z),y) = K(x \ y,y). [para(5263(a,2),8897(a,1,1,2))]. 8900 K(x \ (K(y,z) * u),z) = K(x \ u,z). [para(5608(a,1),8897(a,1,1,2)),flip(a)]. 8901 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(5409(a,1),8897(a,1,1,2)),flip(a)]. 8902 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(5536(a,1),8897(a,1,1,2)),flip(a)]. 8904 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(8242(a,1),8897(a,1,1,2,1))]. 8905 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(8235(a,1),8897(a,1,1,2))]. 8906 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(255,a,7188,a(flip),b,8899,a(flip))]. 8908 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(6027(a,1),8900(a,1,1,2))]. 8909 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(7053(a,1),8905(a,1,1,2)),flip(a)]. 8911 K(((x * y) \ x) \ z,T(z,K(y,u))) = K(L(y \ 1,y,x) \ z,z). [para(1287(a,1),8906(a,1,1,1)),flip(a)]. 8912 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(175(a,1),8908(a,1,1)),flip(a)]. 8914 K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). [para(7525(a,1),8693(a,1,2,2,2))]. 8915 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(255,a,8779,a(flip),b,8701,a)]. 8917 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5899,a,8708,a)]. 8918 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(255,a,8064,a,b,8917,a(flip)),flip(a)]. 8919 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7539(a,2),8734(a,1,1))]. 8921 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(8223(a,1),8736(a,1,1))]. 8922 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(18(a,1),8740(a,1,2,1,2)),flip(a)]. 8923 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(22,a,7400,a(flip),b,8744,a)]. 8925 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(8923(a,1),6670(a,1,1,2)),flip(a)]. 8926 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(255,a,8902,a(flip),b,8749,a)]. 8928 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(8926(a,1),8138(a,2,2))]. 8929 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(21(a,1),8750(a,1,2,1,2)),flip(a)]. 8930 K(x,((1 / y) * y) \ (x \ z)) = K(x,L(x,y,y \ 1) \ z). [para(3043(a,1),8750(a,1,2,1)),flip(a)]. 8931 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(8750(a,1),6670(a,1,1,2))]. 8932 K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). [para(263(a,1),8764(a,1,2,1,1))]. 8933 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(255,a,8409,a(flip),b,8773,a(flip))]. 8934 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(255,a,7539,a,b,8781,a)]. 8935 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(255,a,7943,a(flip),b,8784,a(flip))]. 8936 K(x,y \ ((z * K(x,u)) * w)) = K(x,y \ (z * w)). [para(6672(a,1),8786(a,1,2,2,1)),flip(a)]. 8937 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(7525(a,1),8796(a,1,2,1,2))]. 8938 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(7525(a,1),8797(a,1,2,2,2))]. 8939 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(8803(a,1),5195(a,1,1,1))]. 8940 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1939(a,1),8814(a,1,2)),flip(a)]. 8941 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1965(a,1),8814(a,1,2)),flip(a)]. 8942 (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). [para(5958(a,1),8818(a,1,1))]. 8943 T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). [hyper(172,a,8821,a(flip),b,4145,a(flip))]. 8945 K(L(K(x,y),z,u),w) = K(w,L(K(x,y),z,u)). [hyper(22,a,5252,a(flip),b,8823,a)]. 8946 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(255,a,8859,a(flip),b,8945,a(flip))]. 8947 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(255,a,8847,a,b,8946,a)]. 8950 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(7009(a,1),8947(a,1,2)),flip(a)]. 8951 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(5323,a,8830,a)]. 8952 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(6008(a,1),8951(a,1,2,1)),flip(a)]. 8953 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(255,a,8831,a(flip),b,8835,a)]. 8955 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(6673(a,1),8953(a,1,2))]. 8956 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(8955(a,1),8819(a,1,2))]. 8958 T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). [para(4524(a,1),8865(a,1,2,1)),flip(a)]. 8962 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(255,a,7497,a,b,8870,a(flip)),flip(a)]. 8964 R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). [para(8901(a,1),5996(a,1,1,1,2))]. 8965 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(5175(a,1),8904(a,1,1,2)),flip(a)]. 8966 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(424(a,1),8909(a,2,1))]. 8967 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(19(a,1),8919(a,1,2)),flip(a)]. 8968 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(5505,a,8922,a)]. 8969 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(7354,a,8929,a)]. 8970 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(5263(a,2),8934(a,1,2,1,2))]. 8971 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(7601(a,1),8934(a,1,2,1,2))]. 8972 K(x,y \ (((z / x) * u) * w)) = K(x,y \ (((x \ z) * u) * w)). [para(6957(a,1),8936(a,1,2,2,1))]. 8973 K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). [para(424(a,1),8938(a,1,2))]. 8975 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(255,a,8851,a,b,8950,a(flip)),flip(a)]. 8976 K((x \ y) \ z,T(z,u)) = K(y \ (z * x),T(z,u)). [hyper(255,a,7695,a,b,8965,a(flip)),flip(a)]. 8977 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(255,a,332,a(flip),b,8967,a)]. 8978 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(255,a,7539,a(flip),b,8977,a)]. 8979 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [para(17(a,1),8969(a,2,2,1))]. 8980 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(18(a,1),8969(a,1,2,1,2)),flip(a)]. 8981 K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). [para(21(a,1),8979(a,1,2,1)),flip(a)]. 8982 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (y / (x \ 1))) \ u). [para(8981(a,1),6989(a,1,1))]. 8983 K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). [hyper(255,a,8601,a(flip),b,8976,a)]. 8984 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [para(18(a,1),8983(a,1,1,1)),flip(a)]. 8985 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(255,a,5735,a(flip),b,8984,a(flip)),flip(a)]. 8986 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(8070,a,8985,a)]. 8988 L(T(K(x,T(y,z)),u * (K(y,x) * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [hyper(81,a,7629,a(flip),b,8237,a),flip(a)]. 8989 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). [para(1425(a,1),7633(a,1,2)),flip(a)]. 8990 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(255,a,5388,a(flip),b,7808,a)]. 8992 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(7556(a,1),7841(a,1,2))]. 8993 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(255,a,5726,a(flip),b,8992,a(flip))]. 8994 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [para(8993(a,1),167(a,1,1,2))]. 8995 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(6975(a,1),8994(a,1,1))]. 8996 K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u. [para(8770(a,1),7903(a,1))]. 8998 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(255,a,8269,a(flip),b,8330,a)]. 8999 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(5354(a,1),8998(a,1,2,2))]. 9000 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(80,a,8808,a(flip),b,5545,a),flip(a)]. 9001 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). [para(8808(a,1),33(a,2,2,2)),flip(a)]. 9008 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(80,a,8871,a(flip),b,5545,a),flip(a)]. 9009 K(x,y) * K(y * R(x,z,u),x) = x \ R(x,y,R(x,z,u)). [hyper(80,a,8871,a(flip),b,5220,a),flip(a)]. 9010 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(8871(a,1),5915(a,1,1)),flip(a)]. 9011 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(255,a,7424,a(flip),b,8968,a(flip)),flip(a)]. 9012 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(422,a,7420,a)]. 9013 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(7420(a,1),6693(a,1,1))]. 9014 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(255,a,7046,a(flip),b,9012,a(flip)),flip(a)]. 9015 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(255,a,7267,a(flip),b,7441,a(flip)),flip(a)]. 9017 K(x,K(y \ x,y) * z) = K(x,z). [para(18(a,1),9015(a,1,2)),flip(a)]. 9018 K(x,y * K(z \ x,z)) = K(x,y). [hyper(255,a,7680,a(flip),b,9017,a(flip)),flip(a)]. 9019 K(x * y,K(y,x) * z) = K(x * y,z). [para(18(a,1),9017(a,1,2,1,1))]. 9020 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5877(a,1),9017(a,1,2)),flip(a)]. 9022 K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)) = K(x,y \ z). [para(6967(a,1),9018(a,1,2)),flip(a)]. 9023 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(9019(a,1),5216(a,1,1,2))]. 9024 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(255,a,7164,a(flip),b,7515,a(flip)),flip(a)]. 9026 K(K(x \ y,x) * z,y) = K(z,y). [hyper(255,a,615,a(flip),b,9024,a(flip))]. 9028 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(9026(a,1),5252(a,2,2)),flip(a)]. 9029 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(255,a,8815,a(flip),b,7665,a)]. 9031 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(255,a,7208,a(flip),b,7687,a(flip))]. 9032 K(R(x,y,z),T(u,x * w)) = K(R(x,y,z),T(u,w)). [para(18(a,1),9031(a,1,2,2)),flip(a)]. 9033 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [para(9031(a,1),5382(a,1,1))]. 9034 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(454,a,7717,a)]. 9035 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(5175(a,1),7717(a,1,1)),flip(a)]. 9036 (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(7717(a,1),5543(a,1,1,2))]. 9037 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(255,a,7208,a(flip),b,9034,a(flip)),flip(a)]. 9038 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(255,a,6374,a(flip),b,9034,a(flip)),flip(a)]. 9039 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(9037(a,1),5263(a,2,1)),flip(a)]. 9040 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. [para(9037(a,1),5699(a,1,1,1)),flip(a)]. 9041 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(454,a,7718,a)]. 9042 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(255,a,7208,a(flip),b,9041,a(flip)),flip(a)]. 9043 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(255,a,8250,a(flip),b,9042,a(flip))]. 9044 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(255,a,8242,a(flip),b,9043,a(flip))]. 9046 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(9044(a,1),5292(a,2,1,1))]. 9047 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(255,a,5292,a,b,9046,a)]. 9048 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(422,a,7771,a)]. 9049 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(255,a,7046,a(flip),b,9048,a(flip)),flip(a)]. 9050 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(255,a,7009,a(flip),b,9048,a(flip)),flip(a)]. 9051 K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). [para(4534(a,1),9049(a,1,1))]. 9057 K(x,K(y,T(z,x * u))) = K(x,K(y,T(z,u))). [hyper(22,a,7654,a,b,7934,a),flip(a)]. 9058 K(x,K(y,T(z,x \ u))) = K(x,K(y,T(z,u))). [para(19(a,1),9057(a,1,2,2,2)),flip(a)]. 9059 K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). [hyper(255,a,8075,a(flip),b,8029,a(flip))]. 9060 K(x * (R(x,y,x) \ z),x) = K(z,x). [hyper(255,a,8033,a(flip),b,9059,a)]. 9061 K(R(x,y,x) * z,x) = K(x * z,x). [para(18(a,1),9060(a,1,1,2)),flip(a)]. 9062 K(x * R(y,z,y),y) = K(y * x,y). [hyper(255,a,8059,a(flip),b,9061,a(flip)),flip(a)]. 9063 T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). [para(9062(a,1),5291(a,2,2,2))]. 9064 T(x,y * R(x,z,x)) = T(x,x * y). [hyper(255,a,5291,a,b,9063,a)]. 9065 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(255,a,5252,a(flip),b,9064,a)]. 9066 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(5323,a,9065,a)]. 9067 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(255,a,8053,a,b,9066,a(flip)),flip(a)]. 9068 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(255,a,7432,a,b,9067,a(flip)),flip(a)]. 9069 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(6209(a,1),8117(a,1,1)),flip(a)]. 9070 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(8100(a,1),8118(a,1,1))]. 9071 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(6209(a,1),8157(a,1,2)),flip(a)]. 9072 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(255,a,9069,a,b,9071,a(flip)),flip(a)]. 9073 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(8134(a,1),9072(a,1,1))]. 9074 R(K(x,K(y,z)),y,u) = K(x,K(y,z)). [para(4395(a,1),9073(a,2,2))]. 9075 x * R(K(x,K(y,z)),u,w) = T(x,R(K(y,z),u,w)). [para(9073(a,2),5252(a,2,2)),flip(a)]. 9078 K(x,T(y,T(y * z,u))) = K(x,T(y,T(z,u))). [para(8613(a,1),8226(a,1,2)),flip(a)]. 9079 K(x,T(y,T(y * x,z))) = K(x,y). [hyper(255,a,5642,a(flip),b,9078,a)]. 9080 K(x \ y,T(x,T(y,z))) = K(x \ y,x). [para(19(a,1),9079(a,1,2,2,1))]. 9081 K((1 / (T(x,y) \ z)) \ x,T(1 / (T(x,y) \ z),T(T(x,y),z))) = K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)). [para(7868(a,2),9080(a,1,2))]. 9082 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(255,a,8262,a(flip),b,8272,a)]. 9084 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(19(a,1),9082(a,1,2)),flip(a)]. 9085 R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). [hyper(255,a,6385,a,b,9084,a(flip)),flip(a)]. 9088 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(5608(a,1),9085(a,1,2)),flip(a)]. 9090 L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). [hyper(255,a,8261,a(flip),b,8273,a)]. 9092 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(255,a,7010,a(flip),b,9090,a(flip)),flip(a)]. 9093 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(127(a,1),9090(a,1,2))]. 9096 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(255,a,7046,a(flip),b,9093,a(flip)),flip(a)]. 9097 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [hyper(255,a,7032,a(flip),b,9093,a(flip))]. 9099 L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). [para(5220(a,1),9093(a,1,2))]. 9101 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(7559(a,1),9092(a,1,2,2))]. 9103 L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). [hyper(255,a,8260,a(flip),b,8274,a)]. 9105 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(127(a,1),9103(a,1,2))]. 9106 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(169(a,1),9103(a,1,2)),flip(a)]. 9107 K(L(x,y,z),x * y) = K(x,x * y). [hyper(8037,a,9105,a),flip(a)]. 9108 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(255,a,6988,a(flip),b,9105,a(flip))]. 9109 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(5184(a,2),9105(a,1,2)),flip(a)]. 9110 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(8242(a,1),9105(a,1,1))]. 9111 K(L(x,x \ 1,y),z) = K(x,z). [hyper(255,a,322,a(flip),b,9106,a)]. 9112 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(255,a,8260,a(flip),b,9111,a(flip))]. 9113 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(255,a,8242,a(flip),b,9112,a(flip))]. 9115 L(K(x,y),K(z,x),u) = K(x,y). [hyper(255,a,9113,a(flip),b,9109,a(flip))]. 9117 L(R(K(x,y),z,u),K(w,x),v5) = R(K(x,y),z,u). [para(9115(a,1),49(a,1,1)),flip(a)]. 9118 L(L(K(x,y),z,u),K(w,x),v5) = L(K(x,y),z,u). [para(9115(a,1),50(a,1,1)),flip(a)]. 9119 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(9115(a,1),112(a,1,2))]. 9120 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(9115(a,1),428(a,1,2,1))]. 9122 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(9117(a,1),6695(a,1,2)),flip(a)]. 9125 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(9118(a,1),6695(a,1,2)),flip(a)]. 9126 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(6674,a,9119,a)]. 9127 R(x,K(y,z),K(z,u)) = x. [hyper(454,a,9119,a)]. 9128 (x * K(y,z)) * K(u,y) = x * (K(u,y) * K(y,z)). [hyper(255,a,7236,a,b,9119,a(flip)),flip(a)]. 9129 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(255,a,7065,a(flip),b,9119,a(flip))]. 9130 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(2075(a,2),9119(a,2,2))]. 9131 R(x,K(y,z),K(u,y)) = x. [hyper(255,a,7312,a,b,9127,a(flip)),flip(a)]. 9132 R(x,T(K(y,z),u),K(z,w)) = x. [para(1653(a,1),9127(a,1,2))]. 9133 (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). [para(9127(a,1),2733(a,1,1,1))]. 9134 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(6475(a,1),9127(a,1,2))]. 9135 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(9127(a,1),6649(a,1,1))]. 9137 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [para(9131(a,1),122(a,1,1)),flip(a)]. 9138 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u / K(x,y))). [para(9131(a,1),1389(a,1,2,2)),flip(a)]. 9139 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [para(9131(a,1),7235(a,1,1))]. 9140 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(5974(a,1),9132(a,1,3))]. 9141 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(9134(a,1),122(a,1,1)),flip(a)]. 9142 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(9134(a,1),489(a,1,1))]. 9143 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(9140(a,1),847(a,1,1)),flip(a)]. 9144 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(255,a,4502,a(flip),b,9135,a(flip))]. 9145 (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),w). [para(45(a,2),9135(a,1,2,2))]. 9146 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(9135(a,2),2081(a,1))]. 9148 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(255,a,5956,a,b,9144,a(flip)),flip(a)]. 9149 a(x,y / x,x) \ K(y,x) = K(x \ y,x). [para(9144(a,1),6670(a,1,1))]. 9150 a(x,y / x,x) * K(x,y) = K(x,x \ y). [para(9144(a,1),6689(a,1,1))]. 9151 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(18(a,1),9148(a,1,2,2)),flip(a)]. 9152 x \ R(x,T(y,x),x) = a(x,y,x). [para(167(a,1),9151(a,1,2)),flip(a)]. 9153 x \ R(x,y,x) = a(x,y,x). [para(4717(a,1),9152(a,1,2))]. 9154 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(5957,a,9153,a)]. 9155 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(5945,a,9153,a)]. 9156 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(255,a,7811,a,b,9153,a(flip)),flip(a)]. 9157 K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x). [hyper(255,a,7301,a,b,9153,a(flip)),flip(a)]. 9158 K(x,y) * K(y,y \ x) = a(y,y \ x,y). [hyper(255,a,5956,a(flip),b,9153,a(flip)),flip(a)]. 9159 x * a(x,y,x) = R(x,y,x). [para(9153(a,1),19(a,1,2))]. 9161 a(x,y,x) * x = R(x,y,x). [para(9153(a,1),4037(a,1,1))]. 9162 a(x,x \ (y \ x),x) = x \ R(x,y \ 1,x). [para(6310(a,1),9153(a,1,2)),flip(a)]. 9163 a(x,y,x) \ K(x * y,x) = K(y,x). [para(9153(a,1),6681(a,1,1))]. 9164 T(x * y,x) / x = y * a(x,y,x). [para(9153(a,1),6975(a,1,2)),flip(a)]. 9165 T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). [para(9153(a,1),7599(a,1,2)),flip(a)]. 9166 x \ R(x,y,x) != z | a(x,y,x) = z. [para(9159(a,1),222(a,1,2)),flip(b)]. 9167 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(5622,a,9154,a)]. 9168 K(x,x * y) * a(x,y,x) = K(x,y). [para(9154(a,1),5628(a,1,2))]. 9169 a(x,y,x) * (y * x) = T(x * y,x). [para(9154(a,1),7125(a,1,1))]. 9170 (x * y) * a(y,x,y) = T(y * x,y). [para(9154(a,1),7127(a,1,2))]. 9171 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(6674,a,9155,a)]. 9173 a(x,y \ 1,x) \ K(y \ x,x) = K(y \ 1,x). [para(5734(a,1),9163(a,1,2))]. 9174 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(255,a,1966,a,b,9164,a(flip)),flip(a)]. 9176 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(9164(a,1),129(a,1,1))]. 9177 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(9164(a,2),178(a,1,2,2))]. 9178 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(9164(a,2),423(a,1,2,2))]. 9179 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(9164(a,2),752(a,1,2,2,2))]. 9180 K(x,y) * K(x * y,x) != z | a(x,y,x) = z. [para(5726(a,2),9166(a,1))]. 9182 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(19(a,1),9168(a,1,1,2))]. 9183 L(a(x,y,x),K(x,x * y),z) = (z * K(x,x * y)) \ (z * K(x,y)). [para(9168(a,1),33(a,2,2,2))]. 9184 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(9170(a,1),867(a,1,1,2))]. 9185 a(x,y,x) * K(y,x) = K(y * x,x). [hyper(255,a,5894,a,b,9171,a)]. 9186 (R(a(x,y,x),K(y,x),z * u) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). [para(9171(a,1),1388(a,1,2,1))]. 9189 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(9156(a,1),4037(a,1,1))]. 9190 a(x,x \ y,x) = T(x,y) \ ((x \ y) \ y). [para(4560(a,1),9156(a,1,2)),flip(a)]. 9193 a(x,x \ (y \ x),x) = a(x,y \ 1,x). [hyper(255,a,9153,a(flip),b,9162,a)]. 9194 T(x,y \ x) \ ((x \ (y \ x)) \ (y \ x)) = a(x,y \ 1,x). [hyper(255,a,9190,a(flip),b,9193,a(flip)),flip(a)]. 9196 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(2075(a,2),9126(a,1,1,2))]. 9197 T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). [hyper(172,a,9130,a,b,565,a)]. 9199 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(6718(a,1),9130(a,1,1)),flip(a)]. 9200 L(K(x,y),K(y,z),u) = K(x,y). [hyper(422,a,9137,a)]. 9201 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(3217(a,1),9137(a,1,1))]. 9202 (x * K(y,z)) * (K(z,y) * K(u,z)) = x * K(u,z). [para(6672(a,1),9137(a,1,1)),flip(a)]. 9204 L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). [para(8242(a,1),9200(a,1,2))]. 9205 (x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))). [para(9204(a,1),112(a,1,2))]. 9208 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(23,a,9126,a,b,9196,a(flip)),flip(a)]. 9209 ((x * K(y,z)) / (x * K(u,z))) \ 1 = (K(z,u) * K(y,z)) \ K(K(z,u) * K(y,z),x * K(u,z)). [para(9202(a,1),5360(a,1,1,1))]. 9210 x / (K(y,z) * K(u,y)) = x * (K(z,y) * K(y,u)). [hyper(308,a,9208,a),flip(a)]. 9211 (x * (K(y,z) * K(u,y))) \ x = K(z,y) * K(y,u). [hyper(87,a,9208,a)]. 9212 (x * (K(y,z) * K(u,y))) * w != x | K(z,y) * K(y,u) = w. [para(9208(a,1),24(a,1)),flip(a)]. 9213 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(9208(a,1),304(a,1,1)),flip(b)]. 9214 x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)). [para(2075(a,1),9210(a,1,2))]. 9215 (x * (K(y,z) * K(u,y))) \ x = K(y,u) * K(z,y). [hyper(255,a,2075,a,b,9211,a)]. 9216 x / T((1 * (K(y,z) * K(u,y))) * x,K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. [para(9215(a,1),4423(a,1,2,2))]. 9217 (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). [para(5944(a,1),9129(a,1,2)),flip(a)]. 9218 R(x,y,x) \ x = x \ L(x,y,x). [hyper(7936,a,9217,a)]. 9219 x / R(x,y,x) = x \ L(x,y,x). [hyper(79,a,1952,a(flip),b,9217,a(flip)),flip(a)]. 9220 x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. [hyper(80,a,9218,a(flip),b,1308,a)]. 9221 (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9219(a,1),2886(a,1,1,2,1))]. 9222 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). [para(9220(a,1),5143(a,2,2))]. 9223 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(255,a,8904,a(flip),b,8301,a(flip)),flip(a)]. 9224 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(8593,a,9223,a),flip(a)]. 9226 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(9224(a,1),6670(a,1,1,2)),flip(a)]. 9227 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(255,a,6670,a(flip),b,9226,a)]. 9228 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(8486(a,1),9227(a,1,2,1))]. 9229 K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). [hyper(255,a,8066,a(flip),b,9228,a)]. 9230 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(255,a,8894,a(flip),b,8317,a(flip)),flip(a)]. 9231 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(8560,a,9230,a),flip(a)]. 9233 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(7231(a,1),9231(a,1,1,2)),flip(a)]. 9234 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(7525(a,1),9233(a,1,1,2,1))]. 9235 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [para(7527(a,1),9233(a,1,1,2,1)),flip(a)]. 9236 K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). [para(457(a,1),9234(a,1,1))]. 9237 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(255,a,8769,a(flip),b,8327,a(flip)),flip(a)]. 9239 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(255,a,8263,a(flip),b,9237,a(flip))]. 9240 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(1562(a,1),9239(a,1,2,2))]. 9241 K(x,y / (z * K(x,u))) = K(x,y / z). [para(6672(a,1),9239(a,1,2,2)),flip(a)]. 9242 K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). [para(7231(a,1),9241(a,1,2,2)),flip(a)]. 9243 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(104(a,1),9242(a,1,2,2,1))]. 9244 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(263(a,1),9242(a,1,2,2,1))]. 9245 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(7525(a,1),9242(a,1,2,2,1))]. 9246 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(7527(a,1),9242(a,1,2,2,1)),flip(a)]. 9247 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,(((y * K(z,x)) * u) * w) / (u * w)). [para(457(a,1),9245(a,1,2))]. 9248 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(5217(a,1),8328(a,1,1,1,2))]. 9249 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(8107,a,8352,a),flip(a)]. 9250 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(18(a,1),9249(a,1,2,2)),flip(a)]. 9252 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(8242(a,1),8404(a,1,1)),flip(a)]. 9253 (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). [para(9252(a,1),5898(a,1,1))]. 9255 K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)). [hyper(255,a,8138,a,b,8410,a)]. 9256 (K(x,y) * T(z,u)) / T(K(x,y),z) = (z * (K(x,y) * K(z,u))) * K(y,x). [hyper(255,a,8519,a,b,8415,a),flip(a)]. 9257 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(8164,a,8500,a),flip(a)]. 9258 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(6562,a,9257,a),flip(a)]. 9260 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(9257(a,2),6670(a,1,1))]. 9261 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(8141(a,1),9258(a,1,1)),flip(a)]. 9262 T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). [para(6672(a,1),9260(a,1,1,1))]. 9263 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [para(9262(a,1),19(a,1,2)),flip(a)]. 9264 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(6562,a,9263,a),flip(a)]. 9267 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(8530,a,8532,a),flip(a)]. 9268 K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). [hyper(255,a,8595,a(flip),b,8590,a)]. 9269 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(255,a,9031,a(flip),b,8594,a)]. 9270 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(123(a,1),9269(a,1,1)),flip(a)]. 9271 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(8611(a,2),7895(a,1))]. 9278 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(8135(a,1),8639(a,2,2))]. 9279 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(5037(a,2),8643(a,1,2))]. 9280 T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). [hyper(255,a,5291,a,b,8646,a)]. 9281 T(x,(y \ 1) \ (x \ z)) = x * K(x,(y \ x) \ z). [hyper(8086,a,9280,a),flip(a)]. 9282 K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). [hyper(5323,a,9281,a)]. 9283 K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). [para(18(a,1),9282(a,1,2,2)),flip(a)]. 9284 K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). [hyper(255,a,7701,a,b,9283,a(flip)),flip(a)]. 9286 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). [para(6591(a,2),8656(a,2,2,2)),flip(a)]. 9287 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(18(a,1),8743(a,1,1,1,1)),flip(a)]. 9289 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(4524(a,1),8828(a,1,2,1))]. 9292 L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(8888(a,1),439(a,1,1,1))]. 9293 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(255,a,6670,a(flip),b,8925,a)]. 9294 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(19(a,1),9293(a,1,1,1)),flip(a)]. 9295 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(9294(a,1),5291(a,2,2,2)),flip(a)]. 9296 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(255,a,8138,a(flip),b,8928,a)]. 9297 K(x,T(y \ T(T(x,z),u),w)) = K(T(x,w),y \ T(x,u)). [hyper(255,a,7542,a,b,8971,a)]. 9298 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [hyper(255,a,8970,a(flip),b,8971,a)]. 9300 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(9023(a,1),6713(a,1,2)),flip(a)]. 9301 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(6621,a,9028,a),flip(a)]. 9302 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(5375(a,1),9301(a,2,1))]. 9303 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5383,a,9033,a),flip(a)]. 9304 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1951(a,2),9035(a,1,2))]. 9305 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(255,a,8061,a(flip),b,9038,a)]. 9306 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(255,a,47,a,b,9039,a)]. 9310 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(255,a,8440,a(flip),b,9070,a)]. 9311 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(9070(a,2),8173(a,1,1))]. 9312 R(K(x,K(y,z)),u,w) = K(x,K(z,R(y,u,w))). [para(8439(a,1),9310(a,1,1))]. 9313 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(8440(a,1),9310(a,1,1))]. 9314 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(8444(a,1),9310(a,1,1))]. 9315 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(255,a,9073,a(flip),b,9312,a(flip)),flip(a)]. 9316 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [hyper(255,a,9074,a(flip),b,9313,a(flip))]. 9317 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(255,a,9073,a(flip),b,9313,a(flip)),flip(a)]. 9318 x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). [para(9313(a,2),5252(a,2,2)),flip(a)]. 9319 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(6454(a,1),9315(a,1,2)),flip(a)]. 9320 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [hyper(255,a,9075,a(flip),b,9318,a(flip)),flip(a)]. 9321 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(255,a,9101,a(flip),b,9099,a)]. 9323 L(K(x,L(y,x,z)),T(y,u) * w,v5) = K(L(x,y,z),L(y,w,v5)). [para(9096(a,1),9321(a,1,1))]. 9325 L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). [hyper(255,a,8260,a(flip),b,9110,a)]. 9327 K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). [para(19(a,1),9325(a,1,2)),flip(a)]. 9328 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(9327(a,2),323(a,1)),flip(b)]. 9329 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(9112(a,2),9328(a,1))]. 9330 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(43(a,1),9329(a,1,2))]. 9334 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(47(a,2),9329(a,1,2))]. 9335 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(129(a,1),9329(a,1,2))]. 9337 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(773(a,1),9329(a,1,1))]. 9339 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7542(a,1),9329(a,1))]. 9340 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(129(a,1),9339(a,1,2,1))]. 9342 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(7849(a,1),9339(a,1))]. 9343 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(8253(a,2),9339(a,1))]. 9344 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(8254(a,1),9339(a,1))]. 9348 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(7592(a,1),9342(a,1))]. 9349 K(x \ (x * y),z) != u | K(y,z) = u. [para(7584(a,1),9343(a,1))]. 9352 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(5889(a,1),9349(a,1))]. 9354 K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. [para(138(a,1),9344(a,1,2))]. 9357 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(8272(a,2),9334(a,1))]. 9359 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(126(a,1),9357(a,1,2,1))]. 9360 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(255,a,7027,a(flip),b,9199,a)]. 9361 (x / y) * a(y,z,y) = x / L(y,z,y). [para(9154(a,1),9360(a,1,2))]. 9362 L(x,y,x) \ x = a(x,y,x). [hyper(22,a,7133,a,b,9361,a),flip(a)]. 9363 (x * y) / L(y,z,y) = x * a(y,z,y). [para(20(a,1),9361(a,1,1)),flip(a)]. 9364 L(x,y,x) \ x = x \ R(x,y,x). [hyper(255,a,9153,a,b,9362,a)]. 9365 L(x,y,x) \ 1 = x \ a(x,y,x). [hyper(80,a,9362,a(flip),b,1424,a),flip(a)]. 9366 a(x,y,x) \ x = L(x,y,x). [para(9362(a,1),6466(a,1,1))]. 9367 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(255,a,7262,a,b,9364,a(flip)),flip(a)]. 9368 K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(9365(a,1),7207(a,1,1,2))]. 9369 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(255,a,1836,a(flip),b,9363,a(flip)),flip(a)]. 9370 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [para(9363(a,1),73(a,1,1))]. 9371 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(255,a,7739,a(flip),b,9369,a(flip)),flip(a)]. 9372 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(20(a,1),9369(a,1,1)),flip(a)]. 9373 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(730(a,1),9370(a,1,2))]. 9374 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(255,a,8751,a,b,9371,a(flip)),flip(a)]. 9375 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(255,a,1423,a,b,9371,a(flip)),flip(a)]. 9376 K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z). [para(9371(a,1),5272(a,1,2))]. 9377 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(9375(a,1),19(a,1,2))]. 9378 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(21(a,1),9377(a,1,2)),flip(a)]. 9379 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(22,a,1421,a,b,9378,a),flip(a)]. 9380 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(80,a,9379,a(flip),b,7741,a(flip))]. 9381 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(9374(a,2),24(a,1))]. 9382 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(9374(a,1),5226(a,1,2))]. 9383 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(9248(a,1),21(a,1,1))]. 9384 K(x,K(y,z \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x). [para(9255(a,1),6784(a,1,1))]. 9385 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(5406,a,9295,a),flip(a)]. 9386 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(255,a,7518,a,b,9385,a(flip)),flip(a)]. 9387 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(80,a,9306,a(flip),b,5550,a),flip(a)]. 9388 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(9306(a,1),7455(a,1,1,2)),flip(a)]. 9389 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(9383(a,1),5605(a,1,2))]. 9392 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(9235(a,1),9389(a,1,2,1,2,2)),flip(a)]. 9393 L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x). [para(8188(a,1),7529(a,1,1)),flip(a)]. 9394 L(x,T(y,K(x,z)),x) = L(x,y,x). [hyper(255,a,5707,a(flip),b,9393,a)]. 9396 L(x,T(y,T(x,z)),x) = L(x,y,x). [hyper(255,a,7865,a(flip),b,9394,a(flip)),flip(a)]. 9398 L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). [para(129(a,1),9396(a,1,2)),flip(a)]. 9399 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(7539(a,2),7543(a,1,1))]. 9401 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). [para(6102(a,1),7734(a,1,2,1))]. 9402 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(255,a,493,a(flip),b,7889,a(flip))]. 9403 K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). [para(9402(a,2),6536(a,1,2))]. 9404 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(255,a,7542,a(flip),b,7926,a)]. 9405 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(255,a,5253,a(flip),b,7968,a)]. 9406 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(7525(a,1),9405(a,1,2))]. 9407 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(6475(a,1),9406(a,1,2,1))]. 9409 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(8013(a,1),7993(a,2,2))]. 9410 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(255,a,5946,a(flip),b,9409,a)]. 9412 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(9166,a,9410,a)]. 9413 a(x,y * K(x,z),x) != u | a(x,y,x) = u. [para(9412(a,2),9166(a,1))]. 9414 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [hyper(255,a,4983,a(flip),b,8078,a)]. 9415 L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). [para(7544(a,1),8299(a,1,1))]. 9416 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7559(a,1),8304(a,1,1,2)),flip(a)]. 9417 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(9330,a,8597,a),flip(a)]. 9419 K(x,K(y,z)) * (K(z,x) * u) != w | K(z,T(x,y)) * u = w. [para(8134(a,1),8698(a,1,1))]. 9421 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(574(a,1),8771(a,1,2))]. 9422 K(x,a(K(x,y),z,u)) = 1. [hyper(255,a,5981,a(flip),b,9421,a(flip))]. 9424 T(x,a(K(x,y),z,u)) = x. [hyper(42,a,9422,a)]. 9425 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(40,a,9424,a)]. 9426 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(9424(a,1),43(a,1,1)),flip(a)]. 9427 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(9424(a,1),127(a,1,2))]. 9428 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(9424(a,1),7525(a,1,2,1)),flip(a)]. 9429 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(9425(a,1),7525(a,1,2,1)),flip(a)]. 9431 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(255,a,8975,a(flip),b,8856,a(flip)),flip(a)]. 9432 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(8912(a,1),8100(a,1,1)),flip(a)]. 9433 K(x,L(x,y,y \ 1) \ z) = K(x,x \ z). [para(133(a,1),8930(a,1,2)),flip(a)]. 9435 K((x \ 1) \ y,((x \ 1) \ y) \ z) = K((x \ 1) \ y,(x * y) \ z). [para(3064(a,1),9433(a,1,2,1)),flip(a)]. 9436 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(255,a,9135,a,b,9000,a(flip)),flip(a)]. 9437 K(x,y) * (y \ R(y,x,L(y,z,u))) = K(x * L(y,z,u),y). [para(9000(a,1),5626(a,1,2))]. 9438 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(255,a,9135,a,b,9008,a(flip)),flip(a)]. 9439 x \ R(x,y,R(x,z,u)) != w | K(y * R(x,z,u),x) * K(x,y) = w. [para(9009(a,1),2076(a,1))]. 9441 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(424(a,1),9108(a,2,2))]. 9442 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(9339,a,9270,a)]. 9443 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(6587,a,9399,a)]. 9444 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(255,a,8716,a(flip),b,9443,a)]. 9445 K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. [para(9443(a,2),8730(a,1))]. 9446 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(18(a,1),9444(a,1,2,1,1)),flip(a)]. 9447 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(4524(a,1),9446(a,1,2,1)),flip(a)]. 9448 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(4597(a,2),9446(a,1,2,1)),flip(a)]. 9449 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(255,a,9037,a(flip),b,9404,a(flip)),flip(a)]. 9451 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(21(a,1),9449(a,1,2,2)),flip(a)]. 9452 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(255,a,8558,a(flip),b,9451,a(flip)),flip(a)]. 9454 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(18(a,1),9452(a,1,2,2)),flip(a)]. 9455 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(149(a,1),9452(a,1,2,2)),flip(a)]. 9456 K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). [hyper(9342,a,9454,a),flip(a)]. 9457 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(255,a,8115,a,b,9454,a)]. 9459 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(255,a,8840,a,b,9455,a(flip)),flip(a)]. 9460 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(129(a,1),9459(a,1,2)),flip(a)]. 9461 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8356,a,9457,a)]. 9462 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(9457(a,2),8353(a,1))]. 9463 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(19(a,1),9461(a,1,2,2)),flip(a)]. 9464 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(122(a,1),9461(a,1,2,2))]. 9465 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(8504,a,9463,a)]. 9466 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(73(a,1),9465(a,1,2,2)),flip(a)]. 9467 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(8502,a,9466,a),flip(a)]. 9468 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(8136,a,9464,a)]. 9469 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(9464(a,1),8170(a,1,1))]. 9470 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(332(a,1),9462(a,1,2,2,1))]. 9471 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(8433,a,9469,a),flip(a)]. 9472 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(19(a,1),9471(a,1,2,2,1)),flip(a)]. 9473 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(9470,a,9472,a),flip(a)]. 9474 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(21(a,1),9473(a,1,2,2)),flip(a)]. 9475 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(19(a,1),9414(a,1,2,2)),flip(a)]. 9476 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(255,a,9014,a(flip),b,9417,a(flip)),flip(a)]. 9478 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(255,a,8999,a(flip),b,9476,a(flip)),flip(a)]. 9479 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(19(a,1),9476(a,1,2,2)),flip(a)]. 9480 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(255,a,7913,a,b,9479,a(flip)),flip(a)]. 9482 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(483(a,1),9480(a,1,2,2))]. 9484 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(255,a,8418,a(flip),b,9478,a(flip)),flip(a)]. 9485 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(19(a,1),9484(a,1,2,2,2)),flip(a)]. 9486 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(9485(a,1),9340(a,1))]. 9489 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(255,a,7641,a(flip),b,9442,a),flip(a)]. 9490 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(73(a,1),9489(a,1,1,1)),flip(a)]. 9491 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(20(a,1),9490(a,1,1,2)),flip(a)]. 9493 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(9359,a,9491,a),flip(a)]. 9494 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(8016(a,1),9491(a,1,1))]. 9495 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(9491(a,1),9359(a,1))]. 9496 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [para(9493(a,2),5252(a,2,2)),flip(a)]. 9497 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(7571(a,2),8690(a,1))]. 9498 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(255,a,7542,a(flip),b,7579,a)]. 9499 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. [para(7579(a,2),7899(a,1))]. 9500 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(7542(a,1),7612(a,1,1,2))]. 9501 R(K(x,y),T(T(y,z),u),w) = K(x,y). [hyper(5091,a,7674,a)]. 9502 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(z,x) \ u. [para(9501(a,1),679(a,1,1)),flip(a)]. 9503 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(8612,a,7693,a)]. 9504 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(8346,a,9503,a),flip(a)]. 9505 (T(T(x,y),z) \ 1) * T(x,y) = (x \ 1) * (x * K(z,T(x,y))). [hyper(255,a,5989,a(flip),b,7697,a(flip)),flip(a)]. 9507 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x). [hyper(255,a,396,a(flip),b,7831,a)]. 9508 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5556(a,1),7966(a,1,2))]. 9509 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5556(a,1),9508(a,2,2))]. 9510 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(9509(a,1),418(a,1,2)),flip(a)]. 9511 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(4458(a,1),9510(a,1,2,1))]. 9512 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(4458(a,1),9511(a,2,2,2))]. 9513 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(9512(a,1),4492(a,1,1))]. 9514 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(6929,a,7975,a)]. 9515 (x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x. [para(5392(a,1),8092(a,1,2,2))]. 9522 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(7699,a,8325,a)]. 9523 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(6728(a,2),9522(a,1,2,1))]. 9524 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(22,a,8637,a,b,8357,a)]. 9525 K(x,K(y,z \ (u * x))) = K(y,K(x,z \ u)). [hyper(8136,a,9524,a)]. 9526 K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). [hyper(255,a,8134,a,b,9524,a)]. 9527 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1303(a,1),9524(a,1,2,2))]. 9528 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(7802(a,1),9524(a,1,2)),flip(a)]. 9529 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(255,a,8134,a,b,9525,a)]. 9530 K(x,K(T(y,z),u \ (y * z))) = K(T(y,z),K(x,u \ z)). [para(127(a,1),9526(a,1,2,2,2))]. 9531 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(255,a,9504,a,b,9529,a(flip)),flip(a)]. 9532 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(9529(a,1),8454(a,1,2)),flip(a)]. 9533 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(255,a,8431,a(flip),b,9531,a(flip)),flip(a)]. 9534 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(8504,a,9533,a)]. 9535 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [para(9533(a,1),8115(a,1,2))]. 9536 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(255,a,9296,a,b,9534,a(flip)),flip(a)]. 9537 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(8176,a,9536,a)]. 9538 K(x,K(y,T(z \ (y * u),u))) = K(T(y,u),K(x,z \ u)). [para(7542(a,1),9530(a,1,2))]. 9539 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [hyper(8353,a,9535,a),flip(a)]. 9541 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [para(18(a,1),9539(a,1,2,2,1)),flip(a)]. 9543 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(29(a,2),9541(a,1,2,2)),flip(a)]. 9544 K(T(x,y),K(z,u \ y)) = K(z,K(x,(x * y) / u)). [para(8307(a,1),9538(a,1,2)),flip(a)]. 9545 K(T(x,y),K(z,u \ y)) = K(x,K(z,(x * y) / u)). [hyper(255,a,8134,a,b,9544,a)]. 9546 K(x,K(T(y,z),u \ z)) = K(y,K(x,(y * z) / u)). [hyper(8136,a,9545,a)]. 9547 K(x,K(y,(x * z) / u)) = K(y,K(x,z / u)). [para(8257(a,1),9546(a,1,2)),flip(a)]. 9548 K(x,K(y,(x * z) / u)) != w | K(x,K(y,z / u)) = w. [para(9547(a,2),8136(a,1))]. 9549 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(574(a,1),9543(a,1,2,2))]. 9550 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(9337,a,9549,a),flip(a)]. 9553 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(9550(a,1),5252(a,2,2))]. 9554 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(255,a,5252,a,b,9553,a)]. 9555 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(9554(a,1),8868(a,1,1,1))]. 9558 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(9357,a,8416,a),flip(a)]. 9560 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(5194(a,1),9558(a,1,2,2)),flip(a)]. 9561 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(7559(a,1),9558(a,1,2,2))]. 9562 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(255,a,6383,a,b,9560,a(flip)),flip(a)]. 9563 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(19(a,1),9562(a,1,2))]. 9564 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(9561(a,1),6670(a,1,1,2)),flip(a)]. 9565 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(4038(a,1),9563(a,2,2))]. 9566 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(255,a,6670,a(flip),b,9564,a)]. 9567 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(255,a,7210,a(flip),b,9566,a(flip)),flip(a)]. 9568 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(5608(a,1),9566(a,1,1,2)),flip(a)]. 9570 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(255,a,7206,a(flip),b,9567,a)]. 9571 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(5288(a,1),9570(a,1,2))]. 9573 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(9571(a,1),6460(a,1,1))]. 9574 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(9573(a,1),25(a,1)),flip(a)]. 9576 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(255,a,6055,a(flip),b,8591,a)]. 9577 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(80,a,9576,a(flip),b,5220,a)]. 9579 T(K(x,y) * T(z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). [para(6839(a,1),8733(a,1,1,2))]. 9580 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(255,a,6780,a(flip),b,8735,a(flip))]. 9581 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(5146(a,1),8746(a,2,1)),flip(a)]. 9582 (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(8793(a,1),5897(a,1,2,1))]. 9583 K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). [hyper(255,a,7270,a(flip),b,8795,a)]. 9585 K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). [hyper(255,a,6995,a(flip),b,9583,a(flip)),flip(a)]. 9586 K(x,y \ (z * (x / z))) = K(x,y \ x). [para(5271(a,1),9585(a,1,2,2))]. 9587 K(x,y \ ((z \ x) * z)) = K(x,y \ x). [para(70(a,1),9586(a,1,2,2,2))]. 9588 K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. [para(9587(a,1),7022(a,1))]. 9589 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(8687,a,8836,a),flip(a)]. 9590 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(255,a,7870,a(flip),b,9589,a(flip))]. 9591 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(255,a,8436,a(flip),b,8842,a)]. 9592 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(73(a,1),9591(a,1,2,2,1,2))]. 9593 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(255,a,5807,a(flip),b,9592,a(flip)),flip(a)]. 9596 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(255,a,7275,a(flip),b,8921,a(flip))]. 9597 K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). [hyper(6693,a,8931,a),flip(a)]. 9598 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(255,a,8892,a(flip),b,9597,a(flip)),flip(a)]. 9599 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(9598(a,1),5291(a,2,2,2)),flip(a)]. 9600 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7539(a,2),8956(a,1,2))]. 9609 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(9164(a,1),9174(a,1,1)),flip(a)]. 9610 x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). [hyper(255,a,2212,a(flip),b,9222,a)]. 9611 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [para(5552(a,1),9610(a,1,2))]. 9612 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(7434(a,1),9611(a,1,2)),flip(a)]. 9613 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(255,a,7481,a,b,9612,a(flip)),flip(a)]. 9614 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(9613(a,1),7632(a,1,1,2,1))]. 9615 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(255,a,9011,a(flip),b,9287,a(flip))]. 9616 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(9303(a,1),9289(a,2,2))]. 9617 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(255,a,8828,a,b,9616,a),flip(a)]. 9618 T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). [hyper(255,a,8865,a(flip),b,9617,a(flip))]. 9619 T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). [hyper(255,a,8958,a,b,9618,a(flip)),flip(a)]. 9620 T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). [para(128(a,1),9619(a,1,2,1))]. 9621 T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). [para(7102(a,1),9620(a,1,2,1,1))]. 9622 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(5375(a,1),9302(a,1,1,1))]. 9623 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(6559,a,9622,a),flip(a)]. 9624 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(9623(a,2),178(a,1,2,2))]. 9625 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(9623(a,2),430(a,2,2))]. 9626 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(8439(a,1),9311(a,1,1,1)),flip(a)]. 9627 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(9073(a,1),9626(a,2,1))]. 9628 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(255,a,5263,a,b,9627,a)]. 9629 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(255,a,8507,a(flip),b,9628,a(flip))]. 9630 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(255,a,9320,a(flip),b,9629,a(flip))]. 9631 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(592(a,1),9630(a,1,2,2)),flip(a)]. 9632 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(9630(a,1),9258(a,2,2))]. 9633 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [hyper(225,a,9403,a)]. 9634 L(K(x,y),z,x \ 1) = K(x,y). [hyper(422,a,9633,a)]. 9636 ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). [para(9633(a,1),6670(a,1,1))]. 9637 L(K(x \ 1,y),z,x) = K(x \ 1,y). [hyper(255,a,3963,a(flip),b,9634,a(flip)),flip(a)]. 9638 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(6468,a,9637,a)]. 9640 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(9637(a,1),112(a,1,2))]. 9641 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(4816(a,1),9638(a,1,1,1)),flip(a)]. 9642 R(K(x,y),z,x \ 1) = K((x \ 1) \ 1,y). [hyper(255,a,6209,a(flip),b,9641,a(flip)),flip(a)]. 9643 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(9641(a,1),6207(a,1,1)),flip(a)]. 9644 R(K(x,y),z,x \ 1) = K(x,y). [hyper(255,a,3312,a(flip),b,9642,a)]. 9645 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(9359,a,9644,a)]. 9646 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [para(9644(a,1),122(a,1,1)),flip(a)]. 9648 T(x,R(y,z,x \ 1)) = x * K(x,y). [para(9645(a,1),5252(a,2,2))]. 9650 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(255,a,5252,a,b,9648,a)]. 9651 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(685(a,1),9650(a,1,2))]. 9652 L(K(x,y),z,y \ 1) = K(x,y). [hyper(7086,a,9636,a)]. 9656 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(255,a,7035,a(flip),b,9652,a(flip)),flip(a)]. 9658 R(x,y,K(x \ 1,z)) = x. [hyper(454,a,9640,a)]. 9660 R(T(x,y),z,K(x \ 1,u)) = T(x,y). [para(9658(a,1),47(a,2,1))]. 9662 T(x,y * K(x \ 1,z)) = T(x,y). [hyper(255,a,6353,a(flip),b,9660,a(flip))]. 9664 K(x,y * K(x \ 1,z)) = x \ T(x,y). [hyper(80,a,9662,a(flip),b,5252,a(flip)),flip(a)]. 9666 T(x,K(x \ 1,y) * z) = T(x,z). [para(7559(a,1),9662(a,1,2))]. 9667 T(x,K(y,x \ 1) * z) = T(x,z). [para(7572(a,1),9662(a,1,2)),flip(a)]. 9668 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(7647(a,1),9662(a,1,2))]. 9669 T(x \ 1,K(x,y) * z) = T(x \ 1,z). [para(3312(a,1),9666(a,1,2,1))]. 9670 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(6053(a,1),9666(a,1,2)),flip(a)]. 9671 T(x,K(y,1 / x) * z) = T(x,z). [para(3707(a,2),9667(a,1,2,1))]. 9672 K(K(x,1 / y) * z,y) = y / T(y,z). [para(9671(a,1),5182(a,2,2))]. 9673 K(x,y * K(x \ 1,z)) = K(x,y). [hyper(255,a,5186,a,b,9664,a)]. 9677 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(7647(a,1),9673(a,1,2))]. 9679 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (T(K(x,y),z) * T(x \ 1,z)). [para(9669(a,1),834(a,1,2,2)),flip(a)]. 9681 K(K(x,1 / y) * z,y) = K(z,y). [hyper(255,a,5182,a,b,9672,a)]. 9682 K(K(x,y \ 1) * z,y) = K(z,y). [para(3707(a,1),9681(a,1,1,1))]. 9685 K(T(x,y \ 1) \ z,y) = K(x \ z,y). [para(5536(a,1),9682(a,1,1)),flip(a)]. 9687 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(6025(a,1),9682(a,1,1))]. 9692 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). [para(9677(a,1),6989(a,1,1))]. 9696 L(x,y,K(x \ 1,z)) = x. [hyper(422,a,9643,a)]. 9699 L(x \ 1,y,K(x,z)) = x \ 1. [para(3312(a,1),9696(a,1,3))]. 9700 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(9699(a,1),822(a,1,1)),flip(a)]. 9704 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(229,a,9646,a)]. 9705 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(172,a,9646,a,b,6533,a)]. 9708 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(45(a,2),9705(a,2,2))]. 9711 T(T(x * K(y * T(x,z),x),u),w) \ T(T(x,u),w) = K(x,T(T(T(x,z) * y,w),u)). [para(8031(a,1),9498(a,1,1,1,1,2))]. 9712 (x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))). [hyper(255,a,9205,a(flip),b,9500,a)]. 9713 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(x,z) * u. [hyper(255,a,5600,a(flip),b,9502,a)]. 9714 (T(T(x,y),z) \ 1) * T(x,z) = (x \ 1) * (x * K(y,T(x,z))). [para(43(a,1),9505(a,1,1,1))]. 9715 K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x). [para(18(a,1),9507(a,1,2,2,1,2))]. 9716 L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). [para(9514(a,1),421(a,1,2))]. 9717 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(9527(a,2),8504(a,1))]. 9718 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(255,a,8112,a(flip),b,9532,a)]. 9719 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(8621,a,9718,a)]. 9720 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(21(a,1),9719(a,1,2,2)),flip(a)]. 9721 L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). [para(9720(a,1),5253(a,1,2,1))]. 9722 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(255,a,9580,a(flip),b,9577,a)]. 9723 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(255,a,9250,a(flip),b,9590,a(flip)),flip(a)]. 9724 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [hyper(7895,a,9723,a)]. 9725 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(255,a,8715,a(flip),b,9724,a)]. 9726 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(255,a,6455,a(flip),b,9725,a)]. 9727 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(5406,a,9599,a),flip(a)]. 9728 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(255,a,8789,a,b,9727,a(flip)),flip(a)]. 9729 L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(9728(a,1),5195(a,1,1,1))]. 9730 T(T(x,K(y,x)),z * x) * ((T(x,x * z) * K(y,x)) \ u) = K(x,y) * u. [para(4568(a,1),9713(a,1,1))]. 9731 K(x \ 1,x) * K(y,T(x,z)) = (T(T(x,y),z) \ 1) * T(x,z). [hyper(255,a,7696,a,b,9714,a),flip(a)]. 9732 ((1 / x) * y) * T(((1 / x) * y) \ (K(z,u) * y),z) = K(z,u) * (K(x,z) * y). [para(5777(a,1),9715(a,1,2)),flip(a)]. 9733 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(7539(a,2),7546(a,1,1))]. 9734 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(47(a,2),7620(a,1,1))]. 9735 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). [hyper(255,a,8980,a(flip),b,7707,a)]. 9736 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(255,a,9700,a(flip),b,7715,a(flip))]. 9738 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(8235(a,1),9736(a,1,3))]. 9739 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(7108,a,9738,a)]. 9741 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(9739(a,1),2187(a,1,1,2))]. 9742 L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). [para(9739(a,1),3818(a,1,1))]. 9745 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(5490,a,7800,a),flip(a)]. 9746 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(255,a,7591,a,b,9745,a(flip)),flip(a)]. 9747 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(9746(a,1),6784(a,1,1,2)),flip(a)]. 9748 (x * y) \ ((T(x,z) * y) * x) = T(x,T(z,y)). [hyper(255,a,6734,a(flip),b,7823,a(flip))]. 9750 (x * y) \ ((T(x,z \ (u * x)) * y) * x) = T(x,T((u \ z) \ x,y)). [para(7002(a,1),9748(a,1,2,1,1))]. 9751 a(x,y * K(x,z),x) = a(x,y,T(x,z)). [hyper(636,a,7917,a),flip(a)]. 9752 a(x,y,T(x,z)) = a(x,y,x). [hyper(9413,a,9751,a),flip(a)]. 9753 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(9751(a,1),9413(a,1))]. 9754 a(x,T(y,x),x) != z | a(x,y,x) = z. [para(9752(a,1),7056(a,1))]. 9755 K(R((x * y) / x,z,u),T(w,y * x)) = K(L(R(y,z,u),x,y),w). [para(49(a,1),7925(a,2,1))]. 9756 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(255,a,5996,a(flip),b,8019,a)]. 9757 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(6672(a,1),9756(a,1,2)),flip(a)]. 9758 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(8267(a,1),8585(a,1,2))]. 9759 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7539(a,2),8291(a,1,1))]. 9760 K(x,K(y,T(z \ (x * u),x \ z))) = K(x,K(y,u / (x \ z))). [para(8322(a,1),7439(a,1,2))]. 9761 K(x,K(y,T(z \ (x * u),z))) = K(x,K(y,u / (x \ z))). [hyper(255,a,9058,a(flip),b,9760,a(flip)),flip(a)]. 9762 K(x,K(y,(x * z) / u)) = K(x,K(y,z / (x \ u))). [para(8255(a,1),9761(a,1,2))]. 9763 K(x,K(y,z / (x \ u))) = K(x,K(y,z / u)). [hyper(9548,a,9762,a),flip(a)]. 9764 K(x,K(y,z / (x * u))) = K(x,K(y,z / u)). [para(18(a,1),9763(a,1,2,2,2)),flip(a)]. 9765 R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u). [hyper(80,a,8380,a(flip),b,6416,a(flip))]. 9766 K(x \ (y * (x * z)),T(y,K(z,u))) = K(L(z \ 1,z,x) \ y,y). [hyper(255,a,8976,a(flip),b,8911,a(flip)),flip(a)]. 9767 x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. [para(8943(a,1),4518(a,1,2))]. 9768 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [hyper(255,a,7535,a(flip),b,8989,a)]. 9770 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [para(43(a,1),9415(a,1,1,2))]. 9771 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(7558(a,1),9416(a,1,1))]. 9772 K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). [hyper(7305,a,9692,a),flip(a)]. 9773 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(127(a,1),9772(a,1,2,1)),flip(a)]. 9774 K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). [para(166(a,1),9772(a,1,2,1,2)),flip(a)]. 9775 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [hyper(255,a,8979,a(flip),b,9773,a)]. 9776 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(255,a,7705,a(flip),b,9775,a(flip)),flip(a)]. 9777 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(9776(a,1),7252(a,1,1))]. 9778 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [hyper(6238,a,9733,a),flip(a)]. 9780 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(255,a,7944,a(flip),b,9778,a(flip))]. 9781 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(255,a,7701,a,b,9780,a)]. 9782 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [para(70(a,1),9780(a,1,2,1,1)),flip(a)]. 9783 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(70(a,1),9781(a,1,2,1,1)),flip(a)]. 9784 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(255,a,7700,a,b,9782,a(flip)),flip(a)]. 9785 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(255,a,7245,a(flip),b,9783,a(flip))]. 9786 K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). [para(70(a,1),9784(a,1,2,1)),flip(a)]. 9787 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(9470,a,9785,a),flip(a)]. 9788 K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). [para(6488(a,1),9787(a,1,2))]. 9789 K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). [hyper(8593,a,9786,a)]. 9790 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(255,a,8933,a(flip),b,9789,a(flip)),flip(a)]. 9791 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(73(a,1),9790(a,2,2))]. 9792 K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2858(a,1),9734(a,2,1,1))]. 9793 K(R(x,y,z),T(T(u,x * w),w)) = K(L(R(x,y,z),w,x),u). [hyper(255,a,8311,a(flip),b,9755,a(flip)),flip(a)]. 9794 K(R(x,y,z),T(T(u,w),x * w)) = K(L(R(x,y,z),w,x),u). [para(43(a,1),9793(a,1,2))]. 9795 K(R(x,y,z),T(T(u,w),w)) = K(L(R(x,y,z),w,x),u). [hyper(255,a,9032,a(flip),b,9794,a(flip)),flip(a)]. 9796 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(9339,a,9795,a),flip(a)]. 9798 K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). [para(49(a,2),9796(a,1,1))]. 9799 K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). [hyper(255,a,9368,a(flip),b,9798,a(flip))]. 9800 K(R(x,x \ a(x,y,x),z),u) = K(x,u). [hyper(255,a,7427,a(flip),b,9799,a)]. 9803 (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). [para(9800(a,1),7209(a,1,1)),flip(a)]. 9804 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [para(9168(a,1),9803(a,1,1)),flip(a)]. 9805 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [hyper(5622,a,9804,a)]. 9806 K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. [hyper(310,a,9804,a),flip(a)]. 9807 K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z. [para(9804(a,1),24(a,1)),flip(a)]. 9808 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(5894(a,2),9805(a,1,1))]. 9809 K(x,x * y) * z != K(x,y) * (a(x,y,x) \ u) | z = u. [para(9806(a,2),24(a,2))]. 9810 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(5683(a,1),9808(a,1,2))]. 9811 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(9759(a,1),6366(a,1,1)),flip(a)]. 9812 L(K(T(T(x,y),z * y),u),y,z) * w = K((z * y) / (z * (u \ y)),x) \ w. [para(9770(a,1),6488(a,1,1)),flip(a)]. 9813 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(9473(a,1),9771(a,1,1,1))]. 9817 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6873(a,1),7745(a,1,1))]. 9818 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(422,a,7773,a)]. 9819 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(255,a,9768,a(flip),b,9818,a(flip)),flip(a)]. 9823 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(19(a,1),9819(a,1,2,2)),flip(a)]. 9824 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(8051(a,1),9819(a,1,2))]. 9825 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(19(a,1),9824(a,1,2,2,2))]. 9826 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(7980(a,1),9824(a,1,2))]. 9827 K(x * y,T(y,z * x)) = K(y * x,T(y,z)). [hyper(7915,a,9826,a),flip(a)]. 9830 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(7914,a,9825,a),flip(a)]. 9831 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(21(a,1),9830(a,1,2,2)),flip(a)]. 9832 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(255,a,8631,a(flip),b,9831,a(flip)),flip(a)]. 9833 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(255,a,9447,a(flip),b,9832,a(flip)),flip(a)]. 9834 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(255,a,8710,a(flip),b,9833,a(flip))]. 9835 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(9470,a,9834,a),flip(a)]. 9836 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(255,a,9029,a(flip),b,9835,a(flip)),flip(a)]. 9840 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). [para(5509(a,1),7882(a,1,2)),flip(a)]. 9842 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7957(a,1),7961(a,1,2,2)),flip(a)]. 9843 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(255,a,5819,a(flip),b,9842,a)]. 9845 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(255,a,5821,a(flip),b,9843,a(flip))]. 9846 K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)). [hyper(255,a,5195,a(flip),b,8052,a)]. 9847 K(K(L(x,y,z),u) * w,L(x,v5,v6)) = K(w,L(x,v5,v6)). [para(7559(a,1),9846(a,1,1))]. 9848 K(K(x,y) * z,L(x,u,w)) = K(z,L(x,u,w)). [para(319(a,1),9847(a,1,1,1,1))]. 9849 K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). [para(5874(a,1),9848(a,1,1)),flip(a)]. 9850 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [para(129(a,1),9849(a,1,1,2)),flip(a)]. 9851 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(8185(a,1),8165(a,1,1))]. 9852 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(9851(a,1),124(a,1,1,1)),flip(a)]. 9853 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(9851(a,1),5611(a,1,2))]. 9854 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(255,a,9712,a(flip),b,8337,a(flip)),flip(a)]. 9859 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(255,a,8728,a(flip),b,8729,a)]. 9860 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(255,a,8731,a,b,9859,a(flip)),flip(a)]. 9861 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(73(a,1),9860(a,2,2,2,1))]. 9862 K(x,T(1 \ ((y \ z) * x),z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(255,a,9443,a(flip),b,8777,a(flip)),flip(a)]. 9863 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / (x * z))). [para(8138(a,1),8837(a,2,2))]. 9864 K(x,T(y,T((x * z) \ u,z))) != w | K(x,T(y,u / (x * z))) = w. [para(8837(a,2),8372(a,1))]. 9865 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(255,a,4493,a(flip),b,8940,a)]. 9866 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(18(a,1),9865(a,1,1,2,1)),flip(a)]. 9867 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(255,a,4494,a(flip),b,8941,a)]. 9868 (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). [para(2082(a,2),9120(a,2,2))]. 9869 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(81,a,7219,a(flip),b,9122,a)]. 9870 (x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)). [para(2077(a,1),9141(a,2,2))]. 9871 L(a(x,y,x),K(x,x * y),z) = K(x,y) * K(x * y,x). [hyper(255,a,9139,a(flip),b,9183,a)]. 9873 L(a(x,y,x),K(x,x * y),z) = a(x,y,x). [hyper(255,a,9154,a(flip),b,9871,a)]. 9874 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = x / a(y,z,y). [para(9873(a,1),316(a,1,2)),flip(a)]. 9876 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(8138(a,1),9278(a,1,1,1))]. 9879 (x \ y) * K((x \ 1) \ (x \ y),(x * (x \ y)) \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(9435(a,1),6772(a,1,2))]. 9880 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(5149,a,9581,a),flip(a)]. 9881 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(8572(a,1),9880(a,1,1,2))]. 9886 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(255,a,7605,a(flip),b,9747,a)]. 9887 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(45(a,2),9886(a,2,2))]. 9888 T(x,L(T(y,y \ z),u,w)) = T(x,L(T(y,z),u,w)). [para(128(a,2),9887(a,1,2,1))]. 9889 T(x,L(T(T(y * z,z) / y,(T(y * z,z) / y) \ (y * z)),u,w)) = T(x,L((y * z) / y,u,w)). [para(4150(a,1),9888(a,2,2,1))]. 9890 T(x,T((y \ z) \ x,u)) = T(x,T(z \ (y * x),u)). [hyper(255,a,9748,a(flip),b,9750,a(flip))]. 9891 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(8336(a,1),9854(a,1,2)),flip(a)]. 9892 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(7201(a,1),9891(a,2,2))]. 9893 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(59(a,1),9862(a,1,2,1))]. 9894 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(255,a,9783,a(flip),b,9893,a),flip(a)]. 9895 K(x,T(1 \ ((y \ z) * x),y)) = K(x,T((y \ z) * x,z)). [hyper(255,a,9443,a(flip),b,9894,a(flip)),flip(a)]. 9896 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [para(59(a,1),9895(a,1,2,1)),flip(a)]. 9897 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / z)). [para(9764(a,1),9863(a,2,2))]. 9898 K(x,T(y,T((x * z) \ u,z))) = K(x,T(y,u / z)). [hyper(255,a,8115,a(flip),b,9897,a)]. 9899 K(x,T(y,z / (x * u))) = K(x,T(y,z / u)). [hyper(9864,a,9898,a)]. 9900 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(19(a,1),9899(a,1,2,2,2)),flip(a)]. 9901 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [para(9900(a,1),5252(a,2,2))]. 9902 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(255,a,5252,a,b,9901,a)]. 9903 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(255,a,9651,a(flip),b,9902,a(flip))]. 9904 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(68(a,1),9903(a,1,2,2))]. 9905 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(129(a,1),9904(a,1,2)),flip(a)]. 9906 (x * (K(y,z) * L(K(u,y),w,v5))) * K(z,y) = x * L(K(u,y),w,v5). [hyper(6674,a,9870,a)]. 9907 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(9261(a,1),9876(a,1,1))]. 9908 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(8138(a,1),9907(a,2,1))]. 9909 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(8134(a,1),9908(a,2,2))]. 9910 K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). [para(8016(a,1),7748(a,1,1))]. 9911 L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). [para(7959(a,1),9910(a,1,2)),flip(a)]. 9913 L(x,K(y,x) * z,x) = L(x,z,x). [hyper(255,a,5539,a(flip),b,9911,a)]. 9915 L(x,T(x,y) \ z,x) = L(x,x \ z,x). [para(5560(a,1),9913(a,1,2))]. 9916 L(x,y / T(x,z),x) = L(x,x \ y,x). [hyper(255,a,9398,a,b,9915,a(flip)),flip(a)]. 9918 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [hyper(255,a,7398,a,b,9916,a(flip)),flip(a)]. 9921 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(255,a,5195,a(flip),b,8087,a)]. 9922 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(18(a,1),9921(a,1,1,2,1))]. 9923 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(8090(a,1),5490(a,1))]. 9924 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(5485,a,8091,a),flip(a)]. 9926 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(4038(a,2),8310(a,1,1))]. 9927 K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). [hyper(255,a,8115,a,b,8318,a),flip(a)]. 9928 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(8707,a,8642,a)]. 9929 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(9928(a,1),5252(a,2,2)),flip(a)]. 9930 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(9929(a,1),5255(a,1))]. 9931 K(x,(y * (z / (x \ 1))) \ u) = K(x,(y * z) \ (x \ u)). [hyper(255,a,9735,a(flip),b,8982,a(flip))]. 9932 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(255,a,9774,a(flip),b,9931,a(flip))]. 9933 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(37(a,2),9932(a,1,2,2))]. 9934 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(8670,a,9933,a)]. 9935 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(255,a,6692,a(flip),b,9142,a(flip)),flip(a)]. 9936 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(255,a,2077,a(flip),b,9935,a)]. 9937 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(6672(a,1),9936(a,1,2)),flip(a)]. 9938 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(7106(a,1),9937(a,1,2))]. 9939 T(x,a(y,z,K(x,u))) = x. [para(9937(a,1),7958(a,1,2))]. 9940 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(9939(a,1),7559(a,1,2,2)),flip(a)]. 9941 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [hyper(7079,a,9938,a)]. 9943 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2079,a,9938,a)]. 9944 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(255,a,6490,a,b,9938,a(flip)),flip(a)]. 9946 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [para(9938(a,1),5220(a,1,2)),flip(a)]. 9947 ((x * y) / x) * L(K(y,x),z,u) = y * a(u,z,K(x,y)). [para(9938(a,1),5858(a,2,2))]. 9949 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(7046(a,1),9938(a,1,2))]. 9950 (x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y). [para(9938(a,1),7113(a,1,1,2))]. 9951 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [para(9938(a,1),9125(a,1,2))]. 9952 (x * a(y,z,K(u,w))) * K(w,u) = x * L(K(w,u),z,y). [para(9938(a,1),9906(a,1,1,2))]. 9953 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(6493,a,9943,a)]. 9954 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [hyper(255,a,9142,a,b,9943,a(flip)),flip(a)]. 9956 K(L(x,y,z),u) * K(u,x) = a(z,y * x,K(u,x)). [para(7046(a,1),9943(a,1,1))]. 9957 x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. [para(9944(a,1),94(a,1,2)),flip(b)]. 9958 K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). [para(7039(a,1),9953(a,1,1))]. 9959 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(9949(a,1),5905(a,2,2))]. 9962 (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). [para(6633(a,1),9951(a,1,1)),flip(a)]. 9963 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [hyper(23,a,9950,a,b,9952,a),flip(a)]. 9964 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [hyper(255,a,5318,a(flip),b,9963,a(flip))]. 9965 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). [para(9963(a,1),384(a,1,1))]. 9966 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [hyper(255,a,5433,a,b,9954,a),flip(a)]. 9967 x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). [hyper(255,a,7677,a(flip),b,9962,a(flip)),flip(a)]. 9968 (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). [para(9946(a,1),9967(a,1,2)),flip(a)]. 9969 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [hyper(422,a,9968,a)]. 9970 a(x,y,a(z,u,K(y,w))) = 1. [hyper(39,a,9969,a)]. 9971 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(8242(a,1),9970(a,1,3,3))]. 9973 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(255,a,8135,a(flip),b,9432,a)]. 9975 R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. [para(7542(a,1),9811(a,1,1))]. 9976 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(8231(a,1),9813(a,1,1)),flip(a)]. 9977 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(9976(a,1),21(a,1,1))]. 9979 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(18(a,1),9977(a,1,1,1,1))]. 9980 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(9495,a,9926,a)]. 9981 K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). [para(5618(a,1),9926(a,2,2))]. 9982 K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(9926(a,1),8439(a,2,2))]. 9983 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(8176,a,9973,a)]. 9984 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(7582(a,1),9975(a,1,1))]. 9985 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(255,a,9759,a(flip),b,9984,a(flip))]. 9986 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(7233(a,2),9985(a,1,1))]. 9987 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(9986(a,1),5384(a,1))]. 9989 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(1327(a,1),7689(a,1,2)),flip(a)]. 9990 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(6362(a,1),7809(a,1,2)),flip(a)]. 9991 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(255,a,3340,a,b,9990,a)]. 9992 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(6209(a,1),7922(a,1,1,2))]. 9993 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(9992(a,2),7218(a,1,1))]. 9994 T(x * R(K(y,z),u,w),K(v5,y)) = T(x,K(v5,y)) * R(K(y,z),u,w). [hyper(8164,a,8216,a),flip(a)]. 9998 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). [hyper(255,a,9868,a(flip),b,8825,a)]. 9999 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(255,a,7513,a(flip),b,8966,a)]. 10001 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(255,a,9598,a(flip),b,9999,a(flip)),flip(a)]. 10002 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(7908(a,1),9143(a,1,2)),flip(a)]. 10004 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1751(a,1),9177(a,1,2,2))]. 10005 (K(x,y) * T(z,u)) / K(x,T(y,z)) = (z * (K(x,y) * K(z,u))) * K(y,x). [para(7539(a,2),9256(a,1,2))]. 10006 K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y). [para(8134(a,1),9384(a,1,1))]. 10009 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(4446(a,1),9523(a,1,1))]. 10010 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(255,a,9240,a(flip),b,10009,a)]. 10011 T(T(K(x,y) * z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). [para(9264(a,2),9579(a,1,1))]. 10012 T(x,y * x) * ((T(x,x * y) * K(z,x)) \ u) = K(x,z) * u. [para(3140(a,1),9730(a,1,1,1))]. 10013 T(x,y * x) * (L(x,y,x) \ z) = K(x,y) * z. [para(5707(a,1),10012(a,1,2,1))]. 10014 T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. [para(4563(a,1),10013(a,1,1))]. 10015 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(255,a,9376,a,b,10014,a(flip)),flip(a)]. 10016 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(9809,a,10015,a)]. 10017 a(x,y,x) * z = z * a(x,y,x). [hyper(9807,a,10015,a)]. 10018 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(9372(a,1),10015(a,1,2)),flip(a)]. 10019 T(x,a(y,z,y)) = x. [hyper(8094,a,10016,a)]. 10020 T(a(x,y,x),z) = a(x,y,x). [hyper(4425,a,10016,a)]. 10021 x / a(y,z,y) = a(y,z,y) \ x. [hyper(96,a,10016,a)]. 10022 K(x,a(y,z,y)) = 1. [hyper(41,a,10019,a)]. 10023 a(x,y,x) * z != u | z * a(x,y,x) = u. [para(10019(a,1),225(a,1,2))]. 10025 x * K(y,a(z,u,z)) = x. [para(10022(a,2),17(a,1,2))]. 10029 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(10025(a,1),208(a,1)),flip(a)]. 10030 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(10025(a,1),266(a,1)),flip(b)]. 10031 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(10025(a,1),5301(a,1,1,1))]. 10032 (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). [para(10025(a,1),5436(a,1,1)),flip(a)]. 10036 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(255,a,9609,a(flip),b,10017,a)]. 10039 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(10017(a,1),574(a,1,2,1))]. 10043 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = a(y,z,y) \ x. [hyper(255,a,9874,a,b,10021,a(flip)),flip(a)]. 10044 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(10021(a,1),9380(a,1,2))]. 10047 T(x,R(a(y,z,y),u,w)) = x. [hyper(174,a,10031,a)]. 10048 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(10020(a,1),10039(a,2,1))]. 10049 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(9164(a,2),10048(a,1,2,1))]. 10051 (x / K(y,z)) * K(y,y * z) = a(y,z,y) \ x. [para(9168(a,1),10043(a,1,1,2))]. 10052 (x * K(y,z)) * K(z,z * y) = a(z,y,z) \ x. [para(6673(a,1),10051(a,1,1))]. 10053 (x / R(y,z,y)) * y = a(y,z,y) \ x. [hyper(255,a,7065,a(flip),b,10052,a(flip)),flip(a)]. 10054 (x / R(y,z,y)) * y = x / a(y,z,y). [hyper(255,a,10021,a,b,10053,a)]. 10055 (a(x,y,x) * (z * x)) / R(x,y,x) = z. [hyper(23,a,18,a(flip),b,10053,a)]. 10056 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(255,a,9217,a(flip),b,10053,a(flip)),flip(a)]. 10057 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(79,a,10053,a(flip),b,9217,a(flip)),flip(a)]. 10058 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(81,a,20,a(flip),b,10054,a),flip(a)]. 10059 x * (y \ L(y,z,y)) = x / a(y,z,y). [hyper(255,a,9217,a(flip),b,10054,a(flip)),flip(a)]. 10060 a(x,y,x) * (z * x) = z * R(x,y,x). [para(10055(a,1),21(a,1,1)),flip(a)]. 10061 (x * R(y,z,y)) / (x * y) = a(y,z,y). [para(10055(a,1),77(a,1,1,1))]. 10062 a(x,y,x) \ K(x,z) = x \ L(T(x,z),y,x). [hyper(255,a,7709,a(flip),b,10056,a(flip))]. 10064 (x / y) * R(y,z,y) = x * a(y,z,y). [para(10058(a,1),21(a,1,1))]. 10065 x / (y \ L(y,z,y)) = x * a(y,z,y). [hyper(81,a,20,a(flip),b,10059,a)]. 10066 (x * y) * a(y,z,y) = x * R(y,z,y). [hyper(10023,a,10060,a)]. 10068 (x * R(y,z,y)) / (x * y) != u | a(y,z,y) = u. [para(10060(a,1),304(a,1,1)),flip(b)]. 10069 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(10061(a,1),226(a,1,1)),flip(b)]. 10070 ((x * y) * R(L(z,y,x),u,L(z,y,x))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(112(a,1),10061(a,1,2))]. 10072 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(255,a,7516,a,b,10064,a(flip)),flip(a)]. 10073 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4624(a,1),10064(a,1,2))]. 10074 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10064(a,2),9382(a,1,2))]. 10075 x / (a(y,z,y) \ 1) = x * a(y,z,y). [para(10057(a,2),10065(a,1,2))]. 10076 (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). [para(10066(a,1),10032(a,1,1,2))]. 10077 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(18(a,1),10072(a,1,2)),flip(a)]. 10078 R(x,y,x) * (T(x,z) \ u) = (K(z,x) * u) * a(x,y,x). [para(5556(a,1),10072(a,1,2))]. 10079 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [hyper(500,a,10075,a)]. 10080 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(10057(a,1),10079(a,1,3))]. 10081 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [para(9153(a,2),10080(a,1,2))]. 10082 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(10029,a,10077,a)]. 10083 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(10082(a,1),466(a,1,1,1))]. 10085 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(18(a,1),9866(a,1,1,2,1)),flip(a)]. 10086 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(18(a,1),9867(a,1,1,2,1))]. 10088 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(7666,a,9959,a)]. 10089 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(138(a,1),10088(a,1,2,2))]. 10090 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(255,a,7818,a,b,9989,a(flip)),flip(a)]. 10091 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(127(a,1),10004(a,1,2)),flip(a)]. 10092 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(255,a,10049,a(flip),b,10091,a)]. 10093 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). [para(5216(a,1),10092(a,1,1,2)),flip(a)]. 10094 (x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) * K(z,T(y,x)). [hyper(7607,a,10005,a),flip(a)]. 10095 K(x,K(y,z \ 1)) \ (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(6222(a,1),10006(a,1,2))]. 10096 K(K(x,y \ 1),z) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [hyper(5623,a,10095,a)]. 10097 K(x,K(y \ 1,z)) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [para(8100(a,1),10096(a,1,1))]. 10098 K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(8448(a,1),10097(a,1,1))]. 10099 K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z). [hyper(9419,a,10098,a)]. 10100 K(x,y) * (K(z,x) * (K(x,y) \ u)) = K(z,x) * u. [hyper(8207,a,10011,a)]. 10102 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(18(a,1),10100(a,1,2,2))]. 10103 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(5600(a,1),10100(a,1,2,2))]. 10105 (K(x,y) * K(z,x)) \ (K(z,x) * (K(x,y) * u)) = L(u,K(z,x),K(x,y)). [hyper(80,a,10102,a(flip),b,112,a)]. 10106 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [para(5608(a,1),10102(a,1,2)),flip(a)]. 10107 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(7044(a,1),10102(a,1,2,1)),flip(a)]. 10108 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(5622,a,10103,a)]. 10109 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(5622,a,10106,a)]. 10110 (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). [para(10108(a,1),1882(a,1,1,1,1))]. 10112 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(8138(a,2),10109(a,1,1))]. 10115 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(8138(a,2),10112(a,2,2,1))]. 10116 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(310,a,10115,a),flip(a)]. 10117 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(8138(a,2),10116(a,1,2,1))]. 10118 L(x,K(y,z),K(z,u)) != w | L(x,K(z,u),K(y,z)) = w. [para(10105(a,1),2086(a,1))]. 10119 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(255,a,7816,a(flip),b,10090,a(flip)),flip(a)]. 10120 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (T(x,u) * K(z,T(y,x))). [hyper(255,a,7774,a(flip),b,10094,a)]. 10121 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(7044(a,1),10107(a,1,1))]. 10122 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (K(x,u) * (K(z,y) * x)). [para(7566(a,2),10120(a,2,2))]. 10123 K(x,y) * (K(z,u) * (K(y,x) * z)) = T(z,T(u,K(x,y))). [hyper(8417,a,10122,a),flip(a)]. 10124 K(x,y) * (K(K(x,y) * z,u) * z) = T(K(x,y) * z,T(u,K(x,y))). [para(5608(a,1),10123(a,1,2,2))]. 10125 K(x,y) * (z * K(z * K(x,y),u)) = T(K(x,y) * z,T(u,K(x,y))). [para(8285(a,1),10124(a,1,2))]. 10126 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [hyper(255,a,5991,a(flip),b,7763,a(flip))]. 10127 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(255,a,5991,a(flip),b,7820,a(flip))]. 10128 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(114(a,2),10127(a,1,1))]. 10129 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(10127(a,1),9431(a,1,2))]. 10130 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(255,a,7794,a(flip),b,8071,a(flip)),flip(a)]. 10132 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(255,a,5821,a(flip),b,10130,a(flip))]. 10133 R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). [para(8479(a,1),10132(a,1,2))]. 10135 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(255,a,5994,a(flip),b,8080,a)]. 10136 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(5340(a,1),10135(a,1,1)),flip(a)]. 10137 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8197(a,1),8617(a,1,1,3))]. 10138 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5600(a,1),10137(a,2,2))]. 10139 L(K(x,T(T(y,z),u * (K(y,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7539(a,2),8988(a,1,1))]. 10140 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(8183,a,9319,a)]. 10141 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(7891,a,9555,a)]. 10142 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1303(a,1),9726(a,1,2,1))]. 10143 L(K(T(T(x,y),z * y),u),y,z) * w = K(x,(z * y) / (z * (u \ y))) * w. [hyper(255,a,5600,a(flip),b,9812,a)]. 10144 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(8049(a,1),9845(a,1,1,2))]. 10145 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(255,a,5821,a(flip),b,10144,a(flip))]. 10147 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(255,a,251,a(flip),b,9852,a)]. 10148 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(255,a,5242,a,b,10147,a)]. 10150 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(255,a,8134,a,b,10148,a)]. 10151 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(18(a,1),9979(a,2,2,1,1))]. 10152 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(96,a,10151,a)]. 10153 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(10151(a,1),304(a,1,1)),flip(b)]. 10155 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(127(a,2),10152(a,1,2))]. 10156 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(9300(a,2),10155(a,1,1))]. 10157 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(8914(a,1),10139(a,1,1))]. 10158 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(255,a,9770,a(flip),b,10157,a(flip)),flip(a)]. 10160 K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. [para(10140(a,1),8183(a,1))]. 10161 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(584(a,1),10142(a,1,2,2))]. 10162 L(K(T(x,y),T(z,u * y)),y,u) * w = K(x,(u * y) / (u * (z \ y))) * w. [para(7542(a,1),10143(a,1,1,1))]. 10163 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(10156(a,1),466(a,1))]. 10164 L(K(x,T(T(y,z * u),u)),u,z) * w = K(x,(z * u) / (z * (y \ u))) * w. [para(7542(a,1),10162(a,1,1,1))]. 10165 K((x * y) / (x * (z \ y)),u) * w = K(z,(x * y) / (x * (u \ y))) * w. [para(9415(a,1),10164(a,1,1))]. 10166 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(25,a,10165,a)]. 10167 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(255,a,10158,a(flip),b,10166,a(flip))]. 10168 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(255,a,6520,a(flip),b,10166,a(flip))]. 10169 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(10167(a,2),21(a,1,1))]. 10171 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(10168(a,2),10153(a,1))]. 10172 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1304(a,1),10169(a,1,1,2))]. 10173 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(10169(a,1),9088(a,1,2)),flip(a)]. 10174 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(10169(a,1),9246(a,1,2,2,1)),flip(a)]. 10175 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5622,a,10172,a),flip(a)]. 10176 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5608(a,1),10172(a,1,2,2)),flip(a)]. 10177 K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. [para(8242(a,1),10172(a,1,1))]. 10178 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(80,a,64,a(flip),b,10175,a),flip(a)]. 10179 (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [hyper(80,a,10178,a,b,1776,a)]. 10180 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(7516(a,1),10176(a,2,2))]. 10184 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5560(a,1),10180(a,1,2)),flip(a)]. 10185 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(255,a,10074,a(flip),b,10184,a(flip))]. 10186 (K(x,y) * z) * a(y,u,y) = y * (L(T(y,x),u,y) \ z). [hyper(255,a,10078,a(flip),b,10185,a(flip)),flip(a)]. 10187 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(10185(a,1),7449(a,1,2))]. 10188 a(x,y,x) * (K(z,x) * u) = x * (L(T(x,z),y,x) \ u). [hyper(10029,a,10186,a)]. 10189 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5634,a,10187,a),flip(a)]. 10190 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(5649(a,1),5304(a,2,1))]. 10191 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(5216(a,1),10190(a,1,1,1))]. 10192 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [para(10191(a,1),73(a,1,1))]. 10193 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(4505(a,1),10192(a,1,1,2))]. 10194 T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(6086(a,1),5400(a,1,2,1))]. 10195 K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [hyper(8694,a,10194,a)]. 10196 K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7539(a,2),10195(a,1,2,1))]. 10197 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(184(a,1),5695(a,1,2)),flip(a)]. 10198 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(5381(a,1),10197(a,1,1,2,1))]. 10199 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(183(a,1),5696(a,1,2)),flip(a)]. 10200 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(5381(a,1),10199(a,1,1,2,1))]. 10201 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(9938(a,1),10200(a,1,1)),flip(a)]. 10202 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(255,a,10121,a,b,10201,a(flip)),flip(a)]. 10203 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6491(a,1),10201(a,1,2)),flip(a)]. 10204 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(80,a,5608,a(flip),b,10203,a),flip(a)]. 10205 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(255,a,10202,a(flip),b,10204,a(flip))]. 10206 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(416,a,10205,a)]. 10207 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(255,a,9940,a,b,10205,a)]. 10209 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(10207(a,2),24(a,1))]. 10210 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5683(a,1),5871(a,1,2))]. 10214 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6978(a,1),6427(a,1,1,1))]. 10215 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(81,a,8995,a(flip),b,10214,a(flip))]. 10218 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(255,a,1070,a(flip),b,7321,a(flip)),flip(a)]. 10219 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(9140(a,1),7367(a,1)),flip(a)]. 10224 K(x,y) * T(z * R(K(y,u),w,v5),K(x,y)) = (z * K(x,y)) * R(K(y,u),w,v5). [para(9994(a,2),8659(a,1,2))]. 10225 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(83,a,8752,a),flip(a)]. 10226 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4902(a,1),10225(a,1,1)),flip(a)]. 10227 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(6511,a,10226,a)]. 10228 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(255,a,5992,a(flip),b,8759,a)]. 10230 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(255,a,8951,a(flip),b,8952,a)]. 10231 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(70(a,1),10230(a,1,1,2,1,2,1))]. 10232 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(255,a,8582,a(flip),b,10231,a(flip)),flip(a)]. 10233 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(8555,a,10232,a)]. 10234 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [hyper(255,a,7671,a(flip),b,9001,a)]. 10243 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(184(a,1),9388(a,2,1))]. 10244 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(255,a,9304,a(flip),b,10243,a(flip))]. 10245 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1849(a,1),9436(a,1,2))]. 10246 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(636,a,10245,a),flip(a)]. 10248 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)). [para(7157(a,1),10246(a,1,2)),flip(a)]. 10249 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [para(10246(a,1),9437(a,1,2))]. 10250 K(x * L(y,z,u),y) != K(x,y) * w | a(y,x,L(y,z,u)) = w. [para(10249(a,1),24(a,1))]. 10251 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1958(a,1),9438(a,1,2))]. 10252 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(636,a,10251,a),flip(a)]. 10253 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10251(a,1),636(a,1))]. 10254 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(9439,a,10252,a)]. 10255 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(10252(a,1),19(a,1,2))]. 10256 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(10252(a,1),6135(a,1,1)),flip(a)]. 10257 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(10252(a,1),9387(a,1,2)),flip(a)]. 10258 T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [para(10133(a,2),10252(a,1,2))]. 10259 R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(4787(a,1),10256(a,2,1))]. 10261 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(10254(a,1),6689(a,1,1))]. 10262 K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). [para(8060(a,1),10254(a,1,1))]. 10263 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(10254(a,1),8818(a,1,1)),flip(a)]. 10264 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(21(a,1),10261(a,1,2,2))]. 10265 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5671,a,10257,a)]. 10266 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(255,a,1070,a(flip),b,10265,a(flip)),flip(a)]. 10267 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(10265(a,1),19(a,1,2))]. 10268 ((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u). [hyper(255,a,1638,a(flip),b,9732,a(flip)),flip(a)]. 10269 (K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u). [para(8758(a,2),10268(a,1,1))]. 10270 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(73(a,1),10269(a,1,1,2,1))]. 10271 L(x,K(y,z),K(z,u)) = x. [hyper(422,a,10270,a)]. 10272 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(172,a,10270,a,b,19,a),flip(a)]. 10275 (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). [para(2075(a,1),10270(a,1,1))]. 10276 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(x,y) * (K(z,x) * u)) / (K(x,y) * K(z,x))). [para(10270(a,1),4127(a,2,2,1))]. 10277 (K(x,y) * z) / (K(y,u) * (K(x,y) * z)) = R(K(u,y),K(x,y),z). [para(10270(a,1),6417(a,1,2))]. 10278 L(x,K(y,z),K(u,y)) = x. [hyper(10118,a,10271,a)]. 10279 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(255,a,4506,a(flip),b,10271,a)]. 10280 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [hyper(255,a,6306,a(flip),b,10271,a(flip)),flip(a)]. 10281 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7542(a,1),10271(a,1,2))]. 10282 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(255,a,5436,a(flip),b,10278,a(flip)),flip(a)]. 10283 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(10278(a,1),112(a,1,2))]. 10284 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(10281(a,1),112(a,1,2))]. 10285 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(10279(a,1),9047(a,1,2,3))]. 10286 K(x,y) * (K(z,x) * K(K(z,x) * K(x,y),u)) = T(K(z,x) * K(x,y),u). [hyper(5255,a,10275,a),flip(a)]. 10287 (K(x,y) * z) / (K(u,y) * z) = K(x,y) * K(y,u). [hyper(81,a,10103,a(flip),b,10275,a)]. 10288 (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). [para(2075(a,1),10280(a,1,1))]. 10289 R(K(x,y),K(y,z),u) = K(x,y). [hyper(5091,a,10283,a)]. 10290 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(81,a,10106,a(flip),b,10283,a)]. 10291 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). [para(10289(a,1),3802(a,1,1)),flip(a)]. 10292 (x * K(y,z)) / (K(u,T(z,x)) * x) = K(y,T(z,x)) * K(T(z,x),u). [para(8235(a,1),10287(a,1,1))]. 10293 (K(x,T(y,z)) * K(y,u)) \ w = K(y,T(x,z)) * (K(u,y) * w). [para(7542(a,1),10288(a,1,1,1))]. 10294 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5162(a,1),10290(a,1,1))]. 10295 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(255,a,10002,a(flip),b,10272,a(flip)),flip(a)]. 10296 R(K(x,y),K(z,y),u) = K(x,y). [hyper(5613,a,10277,a),flip(a)]. 10298 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(T(z,x),u). [para(8235(a,1),10292(a,1,2))]. 10299 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(z,T(u,x)). [para(7542(a,1),10298(a,2,2))]. 10300 x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(160(a,2),10294(a,1,2,2,2))]. 10301 T(K(x,y) * K(z,x),T(u,K(x,y))) = T(K(z,x) * K(x,y),u). [hyper(255,a,10125,a(flip),b,10286,a(flip)),flip(a)]. 10302 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(5216(a,1),10093(a,2,2))]. 10303 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(8242(a,1),10177(a,1,2,2,1))]. 10305 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(255,a,7283,a(flip),b,10210,a(flip))]. 10306 ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). [para(10145(a,1),10218(a,2,2,2,1,1))]. 10307 (x * R(K(y,z),u,w)) * K(v5,y) = (x * K(v5,y)) * R(K(y,z),u,w). [hyper(225,a,10224,a)]. 10308 (x * R(K(y,z),u,w)) * K(v5,y) = x * (K(v5,y) * R(K(y,z),u,w)). [hyper(255,a,9120,a(flip),b,10307,a)]. 10309 x / (K(y,z) * R(K(z,y),u,w)) = x * (K(z,y) * R(K(y,z),u,w)). [hyper(255,a,9869,a,b,10308,a(flip)),flip(a)]. 10310 x * (K(y,z) * R(K(z,y),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(5604(a,1),10309(a,1,2)),flip(a)]. 10311 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [para(5604(a,1),10310(a,1,2)),flip(a)]. 10312 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(4320,a,10311,a)]. 10313 a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(10253,a,10258,a)]. 10314 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(10133(a,1),10259(a,1,1))]. 10315 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(9213,a,10282,a)]. 10316 T(x,T((1 / y) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(8805(a,1),6170(a,1,1))]. 10317 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3810(a,1),6345(a,1,2,1,1))]. 10318 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3312(a,1),10317(a,1,2))]. 10319 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(6440,a,10176,a)]. 10320 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(10319(a,1),7218(a,1,1,2)),flip(a)]. 10321 R(K(x,y),R(x,z,u),w) = K(x,y). [hyper(255,a,6670,a(flip),b,10320,a)]. 10322 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(255,a,6374,a(flip),b,10321,a(flip)),flip(a)]. 10323 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(255,a,6373,a(flip),b,7194,a(flip))]. 10324 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1940(a,2),7281(a,1,2))]. 10325 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. [para(7542(a,1),8295(a,2,1,2))]. 10326 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(8939(a,1),5485(a,1))]. 10327 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(4446(a,1),9184(a,1,1)),flip(a)]. 10328 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(10271(a,1),9197(a,1,1,1)),flip(a)]. 10329 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2075(a,1),10328(a,1,2,2))]. 10330 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(10329(a,1),6634(a,1,1))]. 10331 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(6839(a,1),10330(a,1,1,1)),flip(a)]. 10332 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(47(a,2),9268(a,1,1,2))]. 10333 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). [para(7539(a,2),9679(a,2,2,1))]. 10334 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(5490,a,9721,a),flip(a)]. 10335 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(255,a,8852,a(flip),b,10334,a)]. 10336 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(8861,a,10335,a)]. 10337 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9850(a,1),10336(a,1,2))]. 10338 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(255,a,10129,a(flip),b,10337,a(flip))]. 10339 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(255,a,8856,a(flip),b,10338,a(flip))]. 10340 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(8136,a,10339,a)]. 10341 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(255,a,9983,a(flip),b,10340,a(flip)),flip(a)]. 10342 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(255,a,9758,a(flip),b,10341,a)]. 10344 K(x,K(y,a(z,x,u))) = 1. [para(166(a,1),10342(a,1,2,2,3))]. 10346 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(10344(a,1),8105(a,1,2)),flip(a)]. 10347 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(255,a,17,a(flip),b,10346,a)]. 10348 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(255,a,8367,a(flip),b,10347,a(flip)),flip(a)]. 10349 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [para(10348(a,1),127(a,1,2)),flip(a)]. 10350 K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. [para(9729(a,1),5485(a,1))]. 10351 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(9836(a,2),9337(a,1))]. 10353 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(7554(a,1),10262(a,1,2)),flip(a)]. 10354 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(255,a,10254,a(flip),b,10353,a)]. 10356 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(129(a,1),10354(a,1,2)),flip(a)]. 10357 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(332(a,1),10354(a,1,2,2))]. 10358 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(10356(a,1),10264(a,1,1))]. 10359 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(255,a,7618,a(flip),b,10358,a)]. 10360 T(x,T((y \ 1) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(5088(a,1),10316(a,1,1))]. 10361 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(224,a,10324,a)]. 10362 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(6223(a,1),10361(a,1,2)),flip(a)]. 10363 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5209(a,1),10362(a,2,2))]. 10364 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(73(a,1),10363(a,1,1,2,1))]. 10365 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(73(a,1),10364(a,2,2,1,2))]. 10366 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(80,a,6834,a(flip),b,10365,a(flip))]. 10367 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(80,a,10365,a(flip),b,7184,a(flip))]. 10369 (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). [para(5192(a,1),10365(a,2,2))]. 10371 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(6672(a,1),10365(a,1,1)),flip(a)]. 10372 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [para(128(a,1),10366(a,2,1))]. 10373 L(K(x,y),y \ 1,z) = K(x,y). [hyper(5532,a,10367,a)]. 10374 L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). [hyper(255,a,9294,a(flip),b,10373,a)]. 10375 (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). [hyper(255,a,7184,a(flip),b,10369,a(flip)),flip(a)]. 10376 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5216(a,1),10371(a,1,2,1))]. 10377 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(10372(a,1),5025(a,1,1)),flip(a)]. 10378 (x * (y \ K(z,y))) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(10375(a,1),3766(a,1,1))]. 10379 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(255,a,4424,a(flip),b,10377,a(flip)),flip(a)]. 10380 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(6466(a,1),10379(a,2,1,1))]. 10381 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(7315(a,1),10380(a,1,1))]. 10382 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(10381(a,1),4290(a,2,1))]. 10383 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(255,a,7032,a(flip),b,10374,a(flip)),flip(a)]. 10384 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(255,a,9656,a(flip),b,10383,a(flip))]. 10385 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(255,a,9687,a(flip),b,10384,a)]. 10386 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(8081,a,10385,a)]. 10388 K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). [para(127(a,1),10386(a,1,1,1)),flip(a)]. 10391 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [hyper(255,a,9685,a(flip),b,10388,a(flip))]. 10392 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(255,a,7068,a,b,10391,a(flip)),flip(a)]. 10393 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(255,a,7038,a,b,10391,a(flip)),flip(a)]. 10394 L(K(x * y,x),y,z) = K(z \ (x * (z * y)),x). [hyper(255,a,7847,a(flip),b,10393,a)]. 10395 L(K(x * y,y),x,z) = K(z \ ((z * x) * y),y). [para(5894(a,2),10393(a,1,1))]. 10396 K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). [para(10393(a,1),9938(a,1,2))]. 10397 K(x \ (y * (x * z)),T(y,K(u,x \ (y * (x * z))))) = L(K(y * z,y),z,x). [hyper(255,a,7555,a,b,10394,a),flip(a)]. 10398 L(K(x * y,y),x,z) = K(z \ (y * (z * x)),y). [para(5894(a,2),10394(a,1,1))]. 10399 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x * y,x)). [para(10394(a,1),7438(a,2,1))]. 10400 L(K(x * T(y,z * x),T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). [para(127(a,1),10395(a,2,1,2))]. 10401 R(x,y \ 1,K(z,y)) = x. [hyper(304,a,10378,a)]. 10403 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [hyper(255,a,5328,a(flip),b,10401,a(flip)),flip(a)]. 10404 R(x,y \ 1,K(z,T(y,u))) = x. [para(7542(a,1),10401(a,1,3))]. 10405 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(5216(a,1),10404(a,1,3,2))]. 10406 R(x,y \ K(y,z),K(u,y)) = x. [para(5402(a,1),10405(a,1,2))]. 10407 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(255,a,6752,a(flip),b,10406,a(flip)),flip(a)]. 10408 R(x,y,K(z,y \ 1)) = x. [para(290(a,1),10406(a,1,2))]. 10410 R(x,y \ z,K(u,z \ y)) = x. [para(6580(a,1),10408(a,1,3))]. 10411 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(10410(a,1),451(a,1,1))]. 10412 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(5206(a,1),10403(a,1,2))]. 10413 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [para(10412(a,1),73(a,1,1))]. 10414 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [hyper(255,a,7117,a,b,10413,a(flip)),flip(a)]. 10415 (T(x,y) \ 1) \ T(y,x) = (x \ 1) \ y. [para(10413(a,1),7118(a,1,1))]. 10416 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(10414(a,1),4703(a,1,1)),flip(a)]. 10417 K(x,y) * ((x \ 1) \ y) = (T(x,y) \ 1) \ y. [para(10415(a,1),6556(a,1,2))]. 10419 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(5252(a,2),10407(a,1,1))]. 10420 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [para(10419(a,2),73(a,1,1))]. 10421 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(5374(a,1),10420(a,2,2))]. 10422 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(73(a,1),10416(a,1,1,2,1)),flip(a)]. 10423 (T(x,y) \ 1) \ y = x * (((x \ 1) \ y) / x). [hyper(255,a,5590,a(flip),b,10417,a(flip))]. 10424 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [para(10422(a,1),70(a,1,2))]. 10425 (T(1 * (K(x,y) * K(z,x)),u) \ 1) \ u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(9215(a,1),10423(a,2,2,1,1))]. 10426 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [hyper(255,a,7171,a,b,10424,a(flip))]. 10427 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(10426(a,1),2229(a,1,1))]. 10428 (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). [para(6064(a,2),10427(a,1,1))]. 10429 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(18(a,1),10428(a,1,1,1,1)),flip(a)]. 10430 (((K(x,y) * K(z,x)) * u) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(9215(a,1),10429(a,1,1,1)),flip(a)]. 10431 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(10411(a,1),7196(a,1,2))]. 10432 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(129(a,1),10421(a,1,1,1))]. 10433 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(10432(a,1),7299(a,1,1))]. 10434 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4690(a,2),10433(a,1,1,2))]. 10435 (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(9756(a,1),10434(a,1,1,2))]. 10436 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5385(a,1),10376(a,1,1,2))]. 10437 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5849(a,1),10436(a,2,2))]. 10439 R(x,K(y \ 1,z),y) = x. [hyper(5091,a,10437,a)]. 10440 L(x \ 1,K(x,y),z) = x \ 1. [hyper(422,a,10437,a)]. 10441 R(x,y,K(y \ 1,z)) = x. [hyper(7316,a,10439,a)]. 10442 (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). [para(10441(a,1),122(a,1,1)),flip(a)]. 10445 L(K(x \ 1,y),x,z) = K(x \ 1,y). [hyper(422,a,10442,a)]. 10446 a(x,y,K(y \ 1,z)) = 1. [hyper(39,a,10445,a)]. 10447 a(x,y \ 1,K(y,z)) = 1. [para(3312(a,1),10446(a,1,3))]. 10448 L(K(x,y),x \ 1,z) = K(x,y). [hyper(38,a,10447,a)]. 10450 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(255,a,6185,a(flip),b,10448,a(flip)),flip(a)]. 10451 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [para(10450(a,1),5252(a,2,2))]. 10452 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(255,a,5252,a,b,10451,a)]. 10453 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(255,a,9386,a(flip),b,10452,a)]. 10455 K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). [para(10396(a,1),5628(a,1,2))]. 10456 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(9957,a,10455,a)]. 10457 L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). [para(19(a,1),10456(a,2,2,2,1))]. 10458 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(5842(a,2),10456(a,1,1))]. 10459 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(233(a,1),10458(a,2,2))]. 10460 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [hyper(7521,a,10457,a)]. 10461 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(255,a,9773,a,b,10460,a(flip)),flip(a)]. 10462 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [hyper(255,a,10010,a(flip),b,10461,a(flip))]. 10463 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [hyper(9335,a,10462,a)]. 10464 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [hyper(255,a,9229,a(flip),b,10463,a(flip))]. 10466 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [hyper(255,a,8265,a(flip),b,10464,a(flip))]. 10467 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(255,a,7049,a(flip),b,10459,a)]. 10469 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(10270(a,1),10430(a,1,1,1))]. 10470 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(5939,a,10431,a),flip(a)]. 10471 K((x \ y) * (y \ x),z) = 1. [hyper(41,a,10470,a)]. 10472 T(x,(y \ z) * (z \ y)) = x. [hyper(40,a,10470,a)]. 10473 K(x * ((y * x) \ y),z) = 1. [para(18(a,1),10471(a,1,1,1))]. 10476 T(x,y * ((z * y) \ z)) = x. [para(18(a,1),10472(a,1,2,1))]. 10479 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(42,a,10473,a)]. 10480 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(6157,a,10476,a),flip(a)]. 10481 K(x,y * ((z * y) \ z)) = 1. [hyper(41,a,10476,a)]. 10485 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(162(a,2),10479(a,1,1,2))]. 10486 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(255,a,9741,a(flip),b,10485,a(flip)),flip(a)]. 10487 T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). [hyper(255,a,5928,a(flip),b,10485,a(flip)),flip(a)]. 10491 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(10486(a,1),2132(a,1,1))]. 10492 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * (K(z,x) * 1),u). [para(10280(a,1),10469(a,2,1))]. 10493 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * K(z,x),u). [para(17(a,1),10492(a,2,1,2))]. 10504 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [hyper(255,a,3317,a(flip),b,10466,a)]. 10505 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [hyper(8714,a,10504,a)]. 10506 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [hyper(255,a,9563,a,b,10505,a),flip(a)]. 10507 K(L(x \ 1,x,y) \ z,z) = L(K(z * x,z),x,y). [hyper(255,a,9766,a(flip),b,10397,a(flip)),flip(a)]. 10508 x / (L(K(y * z,y),z,u) * x) = K(y,L(z \ 1,z,u) \ y). [para(10507(a,1),5605(a,1,2,1))]. 10509 K(x,L(y \ 1,y,z) \ x) = L(K(x,x * y),y,z). [hyper(6492,a,10508,a),flip(a)]. 10510 L(K(x,x * ((y * z) \ y)),(y * z) \ y,z * y) = K(x,z \ x). [para(5463(a,1),10509(a,1,2,1)),flip(a)]. 10511 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(7436(a,1),10506(a,1,1))]. 10512 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(19(a,1),10511(a,2,2,1,2,1))]. 10513 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [hyper(255,a,5893,a,b,10512,a),flip(a)]. 10515 T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). [para(10513(a,1),5252(a,2,2))]. 10516 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(9600(a,1),10325(a,2,1))]. 10517 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(255,a,10138,a(flip),b,10516,a)]. 10518 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7542(a,1),10517(a,1,1,2))]. 10519 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(8235(a,1),10518(a,1,2))]. 10520 (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). [para(9428(a,2),10519(a,1,1))]. 10521 K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). [para(8193(a,1),10332(a,1,2))]. 10522 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * T(x \ K(x,y),z). [para(10099(a,1),10333(a,2,2))]. 10523 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [hyper(255,a,127,a(flip),b,10522,a)]. 10524 L(x \ 1,K(x,T(y,z)),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(7539(a,2),10523(a,1,1,2))]. 10525 (x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(10440(a,1),10524(a,1,1))]. 10526 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [hyper(255,a,6532,a,b,10525,a(flip)),flip(a)]. 10527 ((x \ 1) * y) / ((x \ K(x,z)) * y) = K(z,x). [para(10525(a,1),6539(a,1,2))]. 10529 L(x,y \ 1,K(y,z)) = x. [hyper(3610,a,10526,a)]. 10530 a(K(x,y),x \ 1,z) = 1. [hyper(39,a,10529,a)]. 10531 R(K(x,y),y \ 1,z) = K(x,y). [hyper(255,a,6420,a(flip),b,10527,a(flip)),flip(a)]. 10533 T(x,T(1 \ (y * x),z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(9890(a,1),10360(a,1,1))]. 10534 L(K(x * y,T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). [para(8332(a,1),10400(a,1,1))]. 10536 K(x \ (y * (x * z)),T(y,x * z)) = L(K(y * z,T(y,x)),z,x). [para(9827(a,1),10534(a,1,1)),flip(a)]. 10537 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(8602,a,10536,a),flip(a)]. 10539 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(8588(a,1),10521(a,1,2))]. 10540 T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). [para(10539(a,1),5821(a,1,1,2))]. 10542 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5819(a,1),10540(a,1,1))]. 10543 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(255,a,7388,a(flip),b,10542,a(flip))]. 10544 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10543(a,1),9010(a,2,1))]. 10545 T(x,T(y * x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(59(a,1),10533(a,1,1,2,1))]. 10546 T(x,T(y * x,z)) * K((y \ 1) \ 1,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(7551(a,1),10545(a,1,2))]. 10547 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(3312(a,1),10546(a,1,2))]. 10548 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(5055(a,1),5067(a,2,1))]. 10549 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(9426(a,1),5351(a,1,2))]. 10551 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(5226(a,1),5571(a,2,2))]. 10552 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = L(x,y,z). [hyper(255,a,33,a,b,10551,a)]. 10554 L(x,y,T(x,z)) = L(x,y,x). [hyper(255,a,7750,a(flip),b,10552,a(flip)),flip(a)]. 10556 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(10554(a,1),45(a,2,1))]. 10558 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(255,a,45,a,b,10556,a)]. 10559 L(T(x,y),T(z,x),x) = L(T(x,y),z,x). [hyper(255,a,4780,a(flip),b,10558,a(flip))]. 10561 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(10558(a,1),9371(a,1,2,1))]. 10562 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(9381,a,10561,a),flip(a)]. 10564 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10562(a,1),9373(a,1,1,2))]. 10565 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10066(a,1),10564(a,1,1))]. 10567 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(255,a,10558,a(flip),b,10565,a)]. 10569 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(255,a,5030,a,b,6662,a),flip(a)]. 10570 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(6633(a,1),6669(a,2,1))]. 10571 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). [hyper(255,a,35,a,b,10570,a)]. 10574 R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). [para(169(a,1),10571(a,1,2))]. 10575 R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). [para(7158(a,1),10574(a,1,1))]. 10577 T(x,y) \ (1 / (1 / T(x * K(z,x),y))) = (T(T(x,z),y) \ 1) * T(x,y). [para(5414(a,1),7324(a,1,2,2,2,1))]. 10578 T(x,y) \ T(1 / (1 / (x * K(z,x))),y) = (T(T(x,z),y) \ 1) * T(x,y). [para(2230(a,1),10577(a,1,2))]. 10579 T(x,y) \ T(1 / (K(x,z) / x),y) = (T(T(x,z),y) \ 1) * T(x,y). [para(5649(a,1),10578(a,1,2,1,2))]. 10580 T(x,y) \ T(1 / (K(x,z) / x),y) = K(x \ 1,x) * K(z,T(x,y)). [hyper(255,a,9731,a,b,10579,a)]. 10581 T(1 / (1 / x),y) \ T(1 / (K(x,z) / x),y) = K(z,T(x,y)). [hyper(3460,a,10580,a)]. 10583 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(155(a,1),8638(a,1,1))]. 10585 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(6673(a,1),10583(a,1,2))]. 10586 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(10318(a,1),10585(a,1,2)),flip(a)]. 10587 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(255,a,16,a(flip),b,10586,a)]. 10588 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5622,a,10587,a)]. 10589 K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(4814(a,1),10588(a,1,2,2))]. 10590 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(9315(a,1),10588(a,1,1))]. 10592 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(255,a,7758,a(flip),b,8973,a(flip))]. 10594 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(255,a,8937,a(flip),b,10592,a(flip))]. 10596 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(33(a,2),10594(a,2,2))]. 10598 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5608(a,1),10596(a,1,2,2)),flip(a)]. 10599 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10598(a,1),5602(a,1,2,2)),flip(a)]. 10600 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(255,a,5602,a(flip),b,10599,a)]. 10601 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(5207(a,1),10600(a,1,1,2)),flip(a)]. 10602 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(255,a,8678,a(flip),b,9236,a(flip))]. 10604 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(35(a,2),10602(a,1,1))]. 10605 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(255,a,8097,a,b,10604,a(flip)),flip(a)]. 10606 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(255,a,9494,a,b,10605,a(flip)),flip(a)]. 10607 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(255,a,10173,a(flip),b,10606,a(flip)),flip(a)]. 10609 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(255,a,9491,a(flip),b,10607,a(flip))]. 10610 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(10609(a,1),5291(a,2,2,2))]. 10611 T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. [para(10610(a,2),5406(a,1))]. 10612 K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). [hyper(255,a,8668,a(flip),b,9247,a(flip))]. 10614 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). [para(35(a,2),10612(a,1,2))]. 10615 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). [hyper(255,a,7928,a,b,10614,a(flip)),flip(a)]. 10616 x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). [para(10615(a,1),5252(a,2,2)),flip(a)]. 10617 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). [hyper(5255,a,10616,a),flip(a)]. 10618 T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(5560(a,1),10617(a,1,2,1)),flip(a)]. 10619 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(10611,a,10618,a),flip(a)]. 10621 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(5719,a,10619,a)]. 10622 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,y),u),w)). [hyper(9499,a,9711,a),flip(a)]. 10623 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [hyper(255,a,8841,a(flip),b,10622,a(flip))]. 10625 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(255,a,10141,a(flip),b,9980,a)]. 10626 K(a(x,y,z),x) = 1. [hyper(6412,a,10625,a),flip(a)]. 10628 T(a(x,y,z),x) = a(x,y,z). [hyper(42,a,10626,a)]. 10629 a(x,y,z) * x = x * a(x,y,z). [para(10628(a,1),127(a,1,2)),flip(a)]. 10631 (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(428(a,1),10070(a,1,1))]. 10632 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(23,a,5090,a(flip),b,10382,a)]. 10633 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(73(a,1),10548(a,1,1,2)),flip(a)]. 10634 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(4216(a,1),10569(a,1,1)),flip(a)]. 10635 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(10634(a,1),6665(a,1,1)),flip(a)]. 10636 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(255,a,5588,a(flip),b,10635,a)]. 10637 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(255,a,8596,a(flip),b,10636,a(flip)),flip(a)]. 10642 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(7736(a,1),10589(a,1,1))]. 10643 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(5186(a,2),10642(a,1,2))]. 10645 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(6408(a,1),10643(a,1,1))]. 10646 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(255,a,7811,a(flip),b,10645,a)]. 10647 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(2081,a,10646,a)]. 10651 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3958(a,1),5095(a,1,2))]. 10652 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4970(a,1),5096(a,1,2)),flip(a)]. 10653 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(255,a,33,a,b,10652,a)]. 10657 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2263(a,2),10653(a,1,2))]. 10658 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(2809(a,1),10653(a,1,2)),flip(a)]. 10659 L(x,T((y \ 1) \ 1,z) \ u,w) = L(x,T(y,z) \ u,w). [para(3456(a,1),10653(a,1,2))]. 10660 L(x,T(1 / y,z) \ u,w) = L(x,T(y \ 1,z) \ u,w). [para(3514(a,1),10653(a,1,2))]. 10661 L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). [para(7026(a,1),10653(a,1,2))]. 10662 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(6519(a,1),10657(a,1,2))]. 10663 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(9252(a,1),10658(a,1,2,2)),flip(a)]. 10664 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(y \ 1,z) \ 1,x). [hyper(255,a,10547,a,b,10660,a(flip)),flip(a)]. 10665 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(6506(a,1),10663(a,1,2,2)),flip(a)]. 10687 L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). [para(9918(a,1),6744(a,1,1)),flip(a)]. 10688 L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). [para(7525(a,1),10687(a,1,2,2))]. 10690 L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). [hyper(255,a,45,a,b,10688,a)]. 10691 L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). [para(5556(a,1),10690(a,1,2))]. 10692 L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). [para(8738(a,2),10691(a,1,2))]. 10693 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(255,a,10559,a(flip),b,10692,a(flip)),flip(a)]. 10694 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(255,a,10215,a(flip),b,6976,a)]. 10696 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(9153(a,1),10694(a,1,3))]. 10697 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(10696(a,1),379(a,1,1)),flip(a)]. 10698 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(10697(a,1),9176(a,1,1))]. 10699 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). [para(10698(a,1),2168(a,1,1)),flip(a)]. 10703 R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). [para(3332(a,1),8480(a,1,2,1)),flip(a)]. 10704 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3332(a,1),10703(a,1,2)),flip(a)]. 10706 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). [para(10704(a,1),578(a,1,1,1)),flip(a)]. 10708 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ T(y * L(y \ z,u,w),x)). [para(37(a,2),8661(a,2,2,2))]. 10709 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,L(y \ z,u,w)). [hyper(255,a,7999,a(flip),b,10708,a)]. 10711 K(x,L((y * x) \ (z * x),u,w)) = K(x,L(y \ z,u,w)). [para(507(a,1),10709(a,1,2))]. 10712 K(x,L((y / x) \ z,u,w)) = K(x,L(y \ (z * x),u,w)). [para(21(a,1),10711(a,1,2,1,1)),flip(a)]. 10713 K(x,L(y \ (((y / x) * z) * x),u,w)) = K(x,L(z,u,w)). [para(18(a,1),10712(a,1,2,1)),flip(a)]. 10714 L(K(x,y \ (((y / x) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). [hyper(7021,a,10713,a)]. 10715 L(K(x,y \ (((x \ y) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). [para(8972(a,1),10714(a,1,1))]. 10716 L(K(x,y),((z / x) * y) * x,u) = K(x,L(y,z,u)). [para(7250(a,1),10715(a,1,1))]. 10717 K(L(x,(y / x) * z,u),z) = K(x,L(z,y,u)). [hyper(255,a,7046,a(flip),b,10716,a(flip)),flip(a)]. 10719 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(255,a,10481,a(flip),b,10717,a(flip))]. 10720 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(255,a,7075,a(flip),b,10719,a(flip)),flip(a)]. 10722 K(x,a(K(y,z),u,u \ 1)) = 1. [para(10312(a,1),10720(a,1,2))]. 10723 T(x,a(K(y,z),u,u \ 1)) = x. [hyper(42,a,10722,a)]. 10724 T(x,a(K(y,z),u \ 1,u)) = x. [para(3965(a,1),10723(a,1,2))]. 10725 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(40,a,10724,a)]. 10726 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(255,a,3952,a,b,10725,a)]. 10727 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5610(a,2),10726(a,1,1))]. 10728 K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u). [hyper(255,a,10196,a,b,10727,a(flip)),flip(a)]. 10729 K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u). [hyper(255,a,7570,a,b,10728,a(flip)),flip(a)]. 10730 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(255,a,8813,a(flip),b,8811,a)]. 10731 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [hyper(255,a,6850,a(flip),b,10730,a)]. 10732 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(255,a,10453,a(flip),b,10731,a(flip))]. 10734 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(255,a,9905,a,b,10732,a(flip)),flip(a)]. 10735 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(255,a,9670,a(flip),b,10734,a(flip)),flip(a)]. 10736 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(37(a,2),10735(a,1,2,1)),flip(a)]. 10737 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [hyper(255,a,9475,a(flip),b,10736,a(flip)),flip(a)]. 10738 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [hyper(255,a,9668,a(flip),b,10737,a)]. 10739 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [hyper(255,a,9414,a(flip),b,10738,a(flip)),flip(a)]. 10740 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(9467(a,1),8872(a,1,2))]. 10741 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(8138(a,1),10740(a,1,2))]. 10743 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(8548(a,1),10741(a,2,1))]. 10744 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(255,a,10263,a(flip),b,10743,a(flip)),flip(a)]. 10745 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(10219,a,10744,a)]. 10746 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(255,a,10295,a(flip),b,10745,a(flip)),flip(a)]. 10747 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). [hyper(7899,a,9051,a),flip(a)]. 10754 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). [para(8203(a,1),9401(a,1,2))]. 10755 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(255,a,8370,a(flip),b,10754,a)]. 10757 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(18(a,1),9441(a,1,2,1))]. 10759 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(33(a,2),10757(a,1,2))]. 10760 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(255,a,8655,a(flip),b,10759,a(flip)),flip(a)]. 10761 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(255,a,7435,a(flip),b,10760,a)]. 10764 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(19(a,1),10761(a,2,2,2))]. 10765 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(4621(a,1),10764(a,1,1,2))]. 10766 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(7483,a,10765,a)]. 10768 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(255,a,10601,a(flip),b,10766,a(flip))]. 10769 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(127(a,1),9624(a,1,2))]. 10770 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(9987,a,10769,a)]. 10771 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(255,a,8750,a(flip),b,10770,a(flip)),flip(a)]. 10772 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(21(a,1),10771(a,1,2,1)),flip(a)]. 10773 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(255,a,8990,a(flip),b,10772,a)]. 10774 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(166(a,1),10773(a,1,2)),flip(a)]. 10775 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(10773(a,1),9625(a,1,2))]. 10776 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(255,a,7053,a(flip),b,10775,a(flip))]. 10777 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(81,a,10776,a(flip),b,127,a(flip))]. 10779 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(255,a,251,a(flip),b,10777,a(flip))]. 10784 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(10779(a,1),7984(a,1,2))]. 10789 K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))). [hyper(255,a,9407,a(flip),b,9788,a(flip)),flip(a)]. 10790 K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(6614(a,1),9982(a,1,2))]. 10791 K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). [hyper(255,a,9315,a(flip),b,10790,a(flip)),flip(a)]. 10793 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10539(a,1),10544(a,1,2,1))]. 10794 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(5560(a,1),10793(a,1,2))]. 10796 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(7539(a,2),10590(a,1,2,2,1))]. 10797 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(255,a,4930,a(flip),b,10651,a(flip)),flip(a)]. 10798 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(255,a,9823,a(flip),b,10747,a)]. 10800 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(255,a,8254,a(flip),b,10798,a)]. 10801 K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(5600(a,1),10796(a,1,2))]. 10802 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(4047(a,1),10797(a,1,2))]. 10803 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(5716,a,10802,a),flip(a)]. 10805 R(x,1 / y,z) = R(x,y \ 1,z). [para(691(a,1),10803(a,1,2)),flip(a)]. 10806 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(1250(a,1),10803(a,1,2)),flip(a)]. 10809 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(10805(a,1),3868(a,1,2))]. 10810 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(10806(a,1),122(a,1,1))]. 10811 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(10810(a,1),25(a,1))]. 10812 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(3065(a,1),10809(a,1,2,1))]. 10813 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4387(a,1),10812(a,1,2,1)),flip(a)]. 10815 (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(1310(a,1),4673(a,1,1))]. 10816 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1328(a,1),10815(a,1,2))]. 10817 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(636,a,10816,a),flip(a)]. 10818 a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(255,a,4787,a,b,10817,a(flip)),flip(a)]. 10819 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4446(a,1),10818(a,1,1))]. 10820 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(255,a,10313,a(flip),b,10819,a(flip)),flip(a)]. 10821 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4788,a,10820,a)]. 10822 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(10821(a,1),10314(a,2,1))]. 10823 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(255,a,10256,a(flip),b,10822,a(flip)),flip(a)]. 10828 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) / K(y,z). [para(6807(a,1),7775(a,2,1))]. 10829 T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ x) = (x / y) \ T(x,y). [hyper(255,a,564,a(flip),b,7955,a)]. 10830 T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ x) = (x * y) / x. [hyper(255,a,4131,a(flip),b,10829,a)]. 10831 (T(x,y) / (x / y)) \ x = x / ((x * y) / x). [para(10830(a,1),199(a,1,2)),flip(a)]. 10832 (x * y) / (((x * y) * y) / (x * y)) = (T(x * y,y) / x) \ (x * y). [para(20(a,1),10831(a,1,1,2)),flip(a)]. 10833 (T(x * y,y) / x) \ (x * y) = x * K(y,x * y). [hyper(255,a,6840,a(flip),b,10832,a(flip))]. 10834 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(255,a,10228,a(flip),b,9286,a)]. 10836 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(255,a,6580,a(flip),b,10834,a)]. 10837 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(6591(a,1),10836(a,1,2,2))]. 10838 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(255,a,9389,a(flip),b,9392,a)]. 10839 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(8486(a,1),10838(a,1,2,1,2,1))]. 10840 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(7309,a,9777,a),flip(a)]. 10841 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(9352,a,10840,a)]. 10842 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(7354,a,10841,a)]. 10843 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(383(a,1),10842(a,1,2,1,2))]. 10844 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(255,a,9934,a(flip),b,10843,a(flip))]. 10845 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(7353,a,10844,a)]. 10846 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(255,a,7251,a,b,10844,a(flip)),flip(a)]. 10847 K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5265(a,1),10844(a,1,2,1)),flip(a)]. 10848 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(10844(a,1),7255(a,1,2,2))]. 10849 K(x,(y * z) \ (u * x)) != w | K(x,(y * (z / x)) \ u) = w. [para(10844(a,1),7353(a,1))]. 10850 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(10844(a,1),7256(a,1,1))]. 10851 K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5699(a,2),10847(a,1,2,1,1))]. 10852 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(5694,a,10848,a),flip(a)]. 10853 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(7272,a,10852,a)]. 10854 K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. [para(10852(a,1),7272(a,1))]. 10855 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [hyper(255,a,5816,a,b,10851,a(flip)),flip(a)]. 10856 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(255,a,10846,a(flip),b,10850,a(flip))]. 10857 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(255,a,8935,a(flip),b,10856,a(flip)),flip(a)]. 10858 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(255,a,7942,a,b,10857,a(flip))]. 10859 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(255,a,9482,a(flip),b,10858,a)]. 10860 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(21(a,1),10859(a,1,2,1)),flip(a)]. 10861 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(255,a,7649,a(flip),b,10860,a(flip))]. 10862 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(255,a,6580,a(flip),b,10861,a)]. 10863 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(5502,a,10862,a),flip(a)]. 10864 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(255,a,7250,a(flip),b,10862,a(flip))]. 10866 (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). [para(10863(a,1),6670(a,1,1,2))]. 10867 T(1 / (1 / x),y) \ T(1 / (K(x,z * (x \ u)) / x),y) = K(x \ (z * u),T(x,y)). [para(10863(a,1),10581(a,1,2,1,2,1))]. 10868 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(255,a,8660,a,b,10864,a(flip)),flip(a)]. 10872 L(K(x,x \ y),y,z) = K(x,x \ y). [para(18(a,1),10868(a,1,3))]. 10874 a(x,y,K(z,z \ y)) = 1. [hyper(39,a,10872,a)]. 10875 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(255,a,7803,a(flip),b,10872,a(flip)),flip(a)]. 10876 a(x,y,K(z \ y,z)) = 1. [para(5389(a,1),10874(a,1,3))]. 10877 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(38,a,10876,a)]. 10878 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(8699,a,10877,a)]. 10879 K((x * y) \ z,y) = K(y \ (x \ z),y). [hyper(7304,a,10877,a)]. 10881 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(255,a,8969,a(flip),b,10875,a(flip))]. 10883 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(19(a,1),10878(a,1,1,2,2))]. 10884 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(10878(a,1),8747(a,1,2))]. 10885 K((x * y) \ z,x) = K(x \ (y \ z),x). [hyper(255,a,6970,a(flip),b,10879,a(flip)),flip(a)]. 10886 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(255,a,7761,a(flip),b,10883,a(flip))]. 10887 K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [para(1420(a,1),10885(a,1,1,1)),flip(a)]. 10888 K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(4966(a,1),10886(a,1,1,2,1))]. 10891 R(x,y,K(z \ y,z)) = x. [hyper(757,a,10884,a)]. 10893 R(x,y / z,z) = R(x,z \ y,z). [hyper(255,a,10575,a(flip),b,10891,a(flip))]. 10894 R(x,y * z,K(z,y)) = x. [para(18(a,1),10891(a,1,3,1))]. 10895 R(x,y,T(z,y)) = R(x,y,z). [hyper(7345,a,10894,a)]. 10896 (x * (y * z)) * K(z,y) = x * (z * y). [para(10894(a,1),464(a,1,1)),flip(a)]. 10904 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(10895(a,1),10248(a,2,2))]. 10907 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [hyper(255,a,8711,a(flip),b,10893,a(flip))]. 10908 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(255,a,6373,a(flip),b,10893,a(flip))]. 10911 K(x,L(y,x,z)) = K(x,y). [hyper(7054,a,10896,a)]. 10912 K(L(x,y,z),y) = K(x,y). [hyper(255,a,9096,a,b,10911,a(flip)),flip(a)]. 10914 L(K(x,y),z,y * x) = K(x,y). [hyper(255,a,10774,a(flip),b,10911,a(flip)),flip(a)]. 10915 T(x,L(y,x,z)) = x * K(x,y). [para(10911(a,1),5252(a,2,2))]. 10917 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(10911(a,1),9323(a,1,1))]. 10921 K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [para(448(a,1),10912(a,1,1))]. 10923 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(10914(a,1),10151(a,1,1))]. 10924 T(x,L(y,x,z)) = T(x,y). [hyper(255,a,5252,a,b,10915,a)]. 10927 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(255,a,8065,a(flip),b,10924,a(flip)),flip(a)]. 10928 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(10924(a,1),127(a,1,2))]. 10930 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(448(a,1),10924(a,1,2))]. 10931 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(10924(a,1),7351(a,1,1,2)),flip(a)]. 10935 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(10928(a,1),1426(a,1,2,2))]. 10936 L(x,T(y,x),z) = L(x,y,z). [hyper(255,a,33,a,b,10931,a),flip(a)]. 10938 L(x,y / x,z) = L(x,x \ y,z). [para(129(a,1),10936(a,1,2)),flip(a)]. 10941 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [hyper(255,a,508,a(flip),b,10938,a(flip))]. 10942 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(10938(a,1),7071(a,1,1))]. 10943 K(x \ (y * z),x) = K(y * (x \ z),x). [hyper(6693,a,10866,a),flip(a)]. 10945 K(K(x,y) * (z \ T(y,x)),z) = K(z \ y,z). [para(5207(a,1),10943(a,1,1,2)),flip(a)]. 10946 K((T(x,y) / z) \ x,T(x,y) / z) = K(K(y,x) * z,T(x,y) / z). [para(73(a,1),10945(a,1,1,2)),flip(a)]. 10947 K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(4966(a,1),10881(a,1,2,2,1,2))]. 10948 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(10881(a,1),7046(a,1,1)),flip(a)]. 10949 (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,K(x,y),y * x). [para(10923(a,2),267(a,1,2))]. 10951 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(255,a,9321,a(flip),b,10917,a(flip))]. 10953 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(255,a,10128,a(flip),b,10951,a(flip)),flip(a)]. 10954 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(905(a,1),10951(a,1,1)),flip(a)]. 10956 L(x,K(y,z),z * y) = L(x,z * y,K(y,z)). [hyper(5355,a,10949,a),flip(a)]. 10957 L(x,K(y,z),z * y) != u | L(x,z * y,K(y,z)) = u. [para(10949(a,1),5355(a,1))]. 10958 L(L(x,y,z),K(y,z),z * y) = L(x,T(y,z),z). [hyper(255,a,7264,a(flip),b,10956,a)]. 10960 a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(255,a,10246,a(flip),b,10904,a)]. 10961 a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). [hyper(7303,a,10960,a)]. 10962 a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). [para(45(a,2),10961(a,1,3))]. 10963 (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). [hyper(255,a,2752,a(flip),b,10962,a(flip)),flip(a)]. 10964 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(255,a,7661,a(flip),b,10954,a)]. 10965 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(255,a,615,a(flip),b,10964,a)]. 10966 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(9354,a,10965,a)]. 10968 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(10326,a,10966,a)]. 10969 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = K(L(x,y,z),(u * w) \ v5). [hyper(255,a,7046,a(flip),b,10948,a)]. 10970 K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). [hyper(255,a,9145,a(flip),b,10963,a(flip)),flip(a)]. 10971 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [hyper(10350,a,10921,a)]. 10972 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(255,a,45,a,b,10930,a(flip)),flip(a)]. 10973 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(255,a,10953,a(flip),b,10971,a(flip))]. 10975 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(9728(a,1),10972(a,1,1))]. 10976 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(10927(a,1),10975(a,1,1)),flip(a)]. 10977 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10976(a,1),5546(a,1,2,1))]. 10979 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(255,a,5673,a(flip),b,10977,a(flip))]. 10980 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),x \ u). [para(10979(a,1),9158(a,1,2)),flip(a)]. 10981 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(127(a,1),10935(a,1,1,1))]. 10982 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1841,a,10981,a),flip(a)]. 10983 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(127(a,1),10982(a,1,2))]. 10984 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(8674,a,10983,a),flip(a)]. 10986 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(10984(a,1),7046(a,1,1))]. 10987 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(255,a,7046,a(flip),b,10986,a(flip))]. 10988 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(10987(a,1),10467(a,1,1))]. 10989 L(K(x,x * y),y,z) = K(x,x * y). [para(9107(a,1),10988(a,1,1))]. 10991 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(7521,a,10989,a)]. 10992 K(x,x * ((y * z) \ y)) = K(x,z \ x). [hyper(255,a,10510,a(flip),b,10989,a(flip))]. 10993 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(255,a,10457,a(flip),b,10989,a(flip)),flip(a)]. 10995 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(10989(a,2),5394(a,1,2))]. 10999 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(10849,a,10993,a)]. 11001 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(255,a,7701,a(flip),b,10993,a(flip)),flip(a)]. 11002 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1423(a,1),10993(a,1,2))]. 11003 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(10993(a,1),7046(a,1,1))]. 11009 L(K(x * y,x),y,z) = K(x * y,x). [hyper(6485,a,10995,a)]. 11010 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(255,a,10392,a(flip),b,11009,a(flip)),flip(a)]. 11011 L(K(x * y,y),x,z) = K(y * x,y). [para(5894(a,2),11009(a,1,1))]. 11012 L(K(x * y,y),x,z) = K(x * y,y). [hyper(255,a,5894,a,b,11011,a)]. 11014 K(x \ (y * (x * z)),y) = K(z * y,y). [hyper(255,a,10398,a(flip),b,11012,a(flip)),flip(a)]. 11015 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(10854,a,11010,a)]. 11016 K((x / y) \ z,y) = K(y * (x \ z),y). [hyper(8695,a,11010,a)]. 11017 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(8685,a,11010,a)]. 11018 K(x * ((y * x) \ z),x) = K(y \ z,x). [hyper(8684,a,11010,a),flip(a)]. 11019 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(8039,a,11010,a)]. 11021 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(255,a,7846,a(flip),b,11010,a(flip))]. 11022 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(11010(a,1),5991(a,1,1,1,2))]. 11024 K(x,y \ z) * K(x * (y \ z),x) = a(x,(z \ y) \ 1,x). [para(11010(a,1),9157(a,1,2))]. 11026 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(10991(a,1),5252(a,2,2))]. 11027 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(11015(a,1),5992(a,1,1,1,2))]. 11028 T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). [hyper(255,a,5252,a,b,11026,a)]. 11029 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(255,a,10739,a(flip),b,11028,a(flip)),flip(a)]. 11030 T(x,y \ (z * x)) = T(x,x * (y \ z)). [hyper(255,a,8085,a,b,11029,a(flip)),flip(a)]. 11031 T(x,x * (y \ z)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(11030(a,1),7109(a,1,1))]. 11032 a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. [para(11024(a,1),9180(a,1))]. 11033 L(x,(y \ z) \ 1,x) = L(x,z \ y,x). [hyper(255,a,5707,a(flip),b,11031,a(flip))]. 11034 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(255,a,7046,a(flip),b,11003,a(flip))]. 11035 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(9923,a,11034,a)]. 11036 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(255,a,10837,a(flip),b,11035,a(flip))]. 11037 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(255,a,5991,a(flip),b,11022,a(flip))]. 11038 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(255,a,7041,a,b,11037,a(flip)),flip(a)]. 11039 K(x \ (y * z),T(x,u)) = K(y * (x \ z),T(x,u)). [hyper(255,a,10581,a(flip),b,10867,a(flip))]. 11040 K(x * (y \ 1),T(y,z)) = K(y \ x,T(y,z)). [para(17(a,1),11039(a,1,1,2)),flip(a)]. 11041 K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * ((1 / (x \ y)) \ 1),T(1 / (x \ y),x)). [para(7868(a,1),11040(a,1,2)),flip(a)]. 11042 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(255,a,10973,a(flip),b,10887,a(flip)),flip(a)]. 11043 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(255,a,10968,a(flip),b,11042,a(flip)),flip(a)]. 11044 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(255,a,11017,a(flip),b,11043,a(flip)),flip(a)]. 11045 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [hyper(255,a,10126,a(flip),b,11044,a)]. 11046 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [hyper(8070,a,11045,a)]. 11047 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(255,a,10973,a(flip),b,10888,a(flip)),flip(a)]. 11048 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(255,a,10968,a(flip),b,11047,a(flip)),flip(a)]. 11049 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(255,a,6917,a(flip),b,11048,a(flip)),flip(a)]. 11050 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(8070,a,11049,a)]. 11051 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(255,a,9924,a(flip),b,11050,a)]. 11052 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(59(a,1),11051(a,2,1))]. 11053 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(255,a,11046,a(flip),b,11052,a(flip)),flip(a)]. 11054 K(x * y,L(y,z,u)) * K(L(y,z,u),L(y,z,u) \ (x * L(y,z,u))) = a(L(y,z,u),L(y,z,u) \ (x * L(y,z,u)),L(y,z,u)). [para(11052(a,1),9158(a,1,1))]. 11055 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [hyper(255,a,10126,a,b,11053,a(flip)),flip(a)]. 11056 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [hyper(255,a,9922,a,b,11053,a(flip)),flip(a)]. 11057 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [hyper(255,a,9097,a(flip),b,11053,a(flip))]. 11058 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(255,a,9924,a,b,11056,a(flip)),flip(a)]. 11059 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = a(x,x \ u,L(x,y,z)). [hyper(255,a,10970,a(flip),b,10980,a)]. 11060 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),T(u,x)). [para(37(a,2),10980(a,2,2,2))]. 11061 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(6797,a,11027,a),flip(a)]. 11063 (x \ y) * K((x \ 1) \ (x \ y),y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(19(a,1),9879(a,1,2,2,1))]. 11064 x \ T(y,((x \ 1) \ (x \ y)) \ z) = x \ T(y,y \ z). [hyper(6984,a,11063,a),flip(a)]. 11065 K(x,y \ T(z,z \ x)) = K(x,y \ z). [para(11064(a,1),9022(a,1,2))]. 11066 K(x,y \ ((z \ x) \ x)) = K(x,y \ z). [para(128(a,1),11065(a,1,2,2))]. 11067 K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [hyper(255,a,6605,a(flip),b,11066,a(flip))]. 11068 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(4505(a,1),10193(a,1,2))]. 11069 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(255,a,5986,a(flip),b,11068,a)]. 11070 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(7432(a,1),11069(a,1,1,1,1))]. 11071 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(6457(a,1),11070(a,1,1))]. 11073 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(9612(a,1),11071(a,1,1))]. 11074 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(23,a,10801,a,b,10729,a),flip(a)]. 11075 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2815(a,1),11074(a,1,2,2))]. 11076 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(255,a,8154,a,b,11075,a)]. 11077 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(11075(a,1),8140(a,1,2)),flip(a)]. 11078 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(472(a,1),11076(a,1,2,2))]. 11080 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(5798(a,1),11078(a,1,2)),flip(a)]. 11083 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(8561,a,11080,a)]. 11084 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(8183,a,11080,a)]. 11085 K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). [para(7523(a,1),11080(a,1,2)),flip(a)]. 11087 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(21(a,1),11083(a,2,2,2))]. 11089 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(8136,a,11087,a)]. 11090 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(255,a,8463,a(flip),b,11089,a(flip)),flip(a)]. 11092 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(11090(a,1),9851(a,1,1))]. 11093 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(11090(a,1),10150(a,1,1))]. 11094 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(8154(a,1),11093(a,1,1))]. 11096 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(255,a,9314,a(flip),b,11094,a(flip)),flip(a)]. 11097 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(70(a,1),11096(a,1,2,2,2))]. 11098 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(8180,a,11092,a)]. 11099 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(70(a,1),11092(a,1,2)),flip(a)]. 11101 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(8099(a,1),11098(a,1,1))]. 11102 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(8138(a,1),11099(a,2,1))]. 11103 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(9853,a,11101,a)]. 11104 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [para(11102(a,1),73(a,1,1))]. 11105 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(255,a,5345,a,b,11104,a(flip)),flip(a)]. 11106 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(39,a,11105,a)]. 11107 a(K(x * y,K(z,u)),x,y) = 1. [para(18(a,1),11106(a,1,3))]. 11108 a(K(K(x,y),z),u,u \ z) = 1. [para(6092(a,2),11106(a,1,1))]. 11109 a(K(x,K(y,z * u)),z,u) = 1. [para(8099(a,1),11107(a,1,1))]. 11110 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(255,a,8178,a,b,11108,a)]. 11111 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(255,a,8105,a(flip),b,11077,a)]. 11112 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(255,a,9631,a(flip),b,11111,a(flip)),flip(a)]. 11113 K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). [para(7542(a,1),11085(a,1,2))]. 11114 T(x,K(y,z * (x \ 1))) = T(x,K(y,x \ z)). [hyper(7565,a,11112,a)]. 11117 T(x,K(y,z * (x \ 1))) = T(x,K(y,z)). [hyper(255,a,8387,a(flip),b,11114,a)]. 11118 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [para(5798(a,1),11117(a,1,2))]. 11119 T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(11118(a,1),5407(a,1,1))]. 11126 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(11097(a,1),11110(a,2,2))]. 11131 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(8138(a,2),11126(a,2,2))]. 11132 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(6092(a,1),11131(a,1,1))]. 11133 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [hyper(255,a,6673,a(flip),b,10828,a)]. 11134 ((x * (K(y,z) * R(z,u,w))) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(6807(a,1),11133(a,1,1,1))]. 11135 R((x * (K(y,z) * z)) / (x * K(y,z)),u,w) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(2143(a,2),11134(a,1,1))]. 11136 R((x * (y * K(z,y))) / (x * K(z,y)),u,w) * x = (x * (K(z,y) * R(y,u,w))) * K(y,z). [para(3141(a,1),11135(a,1,1,1,1,2))]. 11137 R((x * y) / x,z,u) * x = (x * (K(w,y) * R(y,z,u))) * K(y,w). [para(9515(a,1),11136(a,1,1,1))]. 11138 (x * (K(y,z) * R(z,u,w))) * K(z,y) = x * R(z,u,w). [hyper(807,a,11137,a),flip(a)]. 11140 (x * (R(y,z,u) * K(w,y))) * K(y,w) = x * R(y,z,u). [para(3146(a,2),11138(a,1,1,2))]. 11141 L(K(x,y),R(x,z,u),w) = K(x,y). [hyper(7085,a,11140,a)]. 11142 K(x,(y \ 1) * R(x,z,u)) = K(x,y \ R(x,z,u)). [hyper(255,a,7018,a(flip),b,11141,a(flip)),flip(a)]. 11143 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [hyper(255,a,8053,a,b,11142,a(flip)),flip(a)]. 11154 (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(3936(a,1),4987(a,1,1,2))]. 11155 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,z,K(y,y \ 1) * u). [para(4955(a,2),5100(a,1,1,1,2))]. 11156 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(8138(a,1),6866(a,1,2,2))]. 11157 x \ (R(x,y,x) * T(x * (R(x,y,x) \ K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(1307(a,1),6891(a,1,2,2,1))]. 11158 L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(9284(a,1),7253(a,1,1))]. 11159 K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). [hyper(7305,a,11158,a),flip(a)]. 11160 K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2374(a,1),11159(a,1,2,1,2))]. 11161 K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). [hyper(255,a,10845,a(flip),b,11160,a(flip)),flip(a)]. 11162 K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). [hyper(255,a,7268,a(flip),b,11161,a(flip))]. 11163 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). [para(5988(a,1),11162(a,1,2,1)),flip(a)]. 11164 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,x * y)). [para(8154(a,1),10399(a,2,2))]. 11165 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [hyper(5934,a,10794,a)]. 11166 (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(3936(a,1),11154(a,1,2))]. 11167 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(4994(a,1),11155(a,1,1))]. 11168 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x * y,T(x,z)) \ 1,K(x * y,x),y). [para(7539(a,2),11156(a,2,1,1))]. 11169 x \ (R(x,y,x) * T(x * (T(x,y) \ 1),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(6389(a,1),11157(a,1,2,2,1,2))]. 11170 x \ (R(x,y,x) * T(K(y,x),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(5184(a,2),11169(a,1,2,2,1))]. 11171 x \ (R(x,y,x) * K(y,T(x,z))) = (x \ R(x,y,x)) * T(K(y,x),z). [para(7539(a,2),11170(a,1,2,2))]. 11172 (x \ R(x,y,x)) * T(K(y,x),z) = R(x,y,x) * (x \ K(y,T(x,z))). [hyper(1316,a,11171,a),flip(a)]. 11173 (x \ R(x,y,x)) * T(K(y,x),z) = T(x,T(y,z)) \ R(x,y,x). [hyper(255,a,7785,a(flip),b,11172,a)]. 11174 K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). [hyper(255,a,8942,a(flip),b,11173,a(flip)),flip(a)]. 11175 T(x,T(y,z)) \ R(x,y,x) = K(y * x,T(x,z)). [hyper(8691,a,11174,a),flip(a)]. 11176 K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). [hyper(255,a,9165,a(flip),b,11175,a(flip)),flip(a)]. 11177 K(x / y,z) * a(z,y \ x,z) = K((y \ x) * z,T(z,y)). [para(8254(a,1),11176(a,1,1))]. 11178 K(x * y,T(y,z)) \ (K(x,T(y,z)) * y) = L(y,x,y). [para(11176(a,1),9370(a,1,1))]. 11179 K(x * y,T(y,z)) \ (y * K(x,T(y,z))) = L(y,x,y). [para(7613(a,1),11178(a,1,2))]. 11180 K(x,T(y * x,z)) * (x * K(y,T(x,z))) = L(x,y,x). [hyper(7600,a,11179,a)]. 11181 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,y,x). [hyper(5634,a,11180,a)]. 11182 L(x,T(y \ 1,z) \ 1,x) = L(x,y,x). [hyper(255,a,10664,a(flip),b,11181,a(flip)),flip(a)]. 11184 L(x,T(y,z) \ 1,x) = L(x,y \ 1,x). [hyper(255,a,10659,a(flip),b,11182,a(flip)),flip(a)]. 11185 L(x,(y / z) \ 1,x) = L(x,(z \ y) \ 1,x). [para(129(a,1),11184(a,1,2,1)),flip(a)]. 11186 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [hyper(255,a,11033,a(flip),b,11185,a)]. 11187 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(19(a,2),11186(a,1,2))]. 11188 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,y)). [para(8131(a,1),11164(a,2,2))]. 11189 K(x \ (y * (x * z)),y) * K(x,K(y,z)) = L(K(y * z,T(y,x)),z,x). [para(8187(a,1),11188(a,1,1)),flip(a)]. 11190 K(x \ (y * (x * z)),y) * K(x,K(y,z)) = K((x / (x * z)) \ y,y). [hyper(255,a,10537,a(flip),b,11189,a)]. 11191 K((x / (x * y)) \ z,z) = K(y * z,z) * K(x,K(z,y)). [para(11014(a,1),11190(a,1,1)),flip(a)]. 11192 K((x / (x * y)) \ z,z) = K(z * y,z) * K(x,K(z,y)). [para(5894(a,1),11191(a,2,1))]. 11194 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(255,a,8191,a(flip),b,11192,a)]. 11195 K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). [para(19(a,1),11194(a,1,1,1,2)),flip(a)]. 11196 K((x \ y) * z,T(z,x)) = K((x / y) \ z,z). [hyper(255,a,6408,a,b,11195,a(flip)),flip(a)]. 11197 K(x / y,z) * a(z,y \ x,z) = K((y / x) \ z,z). [hyper(255,a,11177,a,b,11196,a(flip)),flip(a)]. 11198 K(x,y / z) * K((z / y) \ x,x) = a(x,z \ y,x). [hyper(5622,a,11197,a)]. 11199 T(x,(y / z) \ x) \ T(x,z / y) = a(x,y \ z,x). [hyper(255,a,5865,a,b,11198,a(flip)),flip(a)]. 11200 T(x,(y / z) \ x) \ T(x,(y / z) \ 1) = a(x,y \ z,x). [para(4661(a,2),11199(a,1,2))]. 11201 T(x,(y / z) \ x) \ T(x,x \ ((y / z) \ x)) = a(x,y \ z,x). [para(4409(a,2),11200(a,1,2))]. 11202 T(x,(y / z) \ x) \ ((x \ ((y / z) \ x)) \ ((y / z) \ x)) = a(x,y \ z,x). [hyper(255,a,381,a(flip),b,11201,a(flip)),flip(a)]. 11203 a(x,(y / z) \ 1,x) = a(x,y \ z,x). [hyper(255,a,9194,a(flip),b,11202,a(flip)),flip(a)]. 11204 a(x,(y * z) \ z,x) = a(x,y \ 1,x). [para(20(a,1),11203(a,1,2,1)),flip(a)]. 11206 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [hyper(8657,a,11165,a)]. 11207 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(4997,a,11166,a)]. 11208 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(29(a,2),11167(a,1,1,1))]. 11209 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [hyper(6675,a,11208,a)]. 11211 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(255,a,5100,a,b,11209,a(flip)),flip(a)]. 11214 a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). [para(4990(a,1),11209(a,1,3))]. 11216 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(2247(a,1),11211(a,1,1,1,2,2))]. 11217 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x,T(x * y,z)),K(x * y,x),y). [para(7575(a,1),11168(a,2,1))]. 11218 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). [hyper(255,a,9204,a(flip),b,11217,a)]. 11221 K(x,T(y / z,y) \ y) \ (K(x,z) * K(y,K(u,y * K(x,z)))) = K(y,T(y * K(x,z),u)). [para(7224(a,2),11218(a,1,1))]. 11222 K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). [para(7996(a,1),11221(a,1,2,2))]. 11223 K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). [para(17(a,1),11222(a,1,2))]. 11224 K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). [hyper(5623,a,11223,a)]. 11225 K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). [para(7225(a,1),11224(a,1,1))]. 11226 K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). [hyper(255,a,8028,a(flip),b,11225,a)]. 11227 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(255,a,7360,a(flip),b,11226,a(flip)),flip(a)]. 11228 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(11227(a,1),6171(a,1,1,1,2))]. 11229 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(5252(a,2),11228(a,1,1,1))]. 11230 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(6800,a,11229,a)]. 11231 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(11230(a,1),10755(a,1,1))]. 11232 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10853(a,1),11231(a,1,1,2,2))]. 11233 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(4994(a,1),11207(a,1,1))]. 11234 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(29(a,2),11233(a,1,1,1))]. 11235 a(x,K(y,y \ 1) * z,u) = a(x,z,u). [hyper(6675,a,11234,a)]. 11238 a(x,(y \ 1) \ 1,z) = a(x,y,z). [para(1456(a,1),11235(a,1,2))]. 11239 a(x,y * K(z,z \ 1),u) = a(x,y,u). [para(2247(a,1),11235(a,1,2))]. 11240 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5557(a,1),5597(a,1,1))]. 11241 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(11240(a,1),9537(a,1,2,2))]. 11242 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1). [para(9765(a,1),6368(a,1,1))]. 11243 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u). [para(6366(a,1),11242(a,2,2))]. 11244 R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). [para(7910(a,1),11243(a,1,1,1))]. 11245 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [para(11244(a,1),70(a,1,2))]. 11247 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [hyper(255,a,9767,a(flip),b,11245,a(flip)),flip(a)]. 11248 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(6418(a,1),11247(a,1,1))]. 11249 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7539(a,2),11248(a,2,1))]. 11250 ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). [para(8598(a,1),11249(a,2,1))]. 11251 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(255,a,4907,a(flip),b,7179,a)]. 11252 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(255,a,1438,a(flip),b,11251,a)]. 11253 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(1439(a,1),11252(a,1,2))]. 11254 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(80,a,5144,a(flip),b,11253,a)]. 11255 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). [hyper(255,a,7628,a(flip),b,7232,a)]. 11256 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(279(a,1),11255(a,2,1,2))]. 11257 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1840(a,1),11256(a,1,2)),flip(a)]. 11258 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(255,a,7051,a(flip),b,11257,a(flip)),flip(a)]. 11259 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(255,a,7032,a(flip),b,11257,a(flip))]. 11260 (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(5220(a,1),9036(a,1,1))]. 11261 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(636,a,11260,a),flip(a)]. 11262 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(11260(a,1),636(a,1))]. 11263 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5536(a,1),11261(a,1,2)),flip(a)]. 11264 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(5600(a,1),9201(a,1,1,1))]. 11265 (K(x,T(y,z)) * K(y,T(u,z))) \ 1 = (K(y,u) * K(x,y)) \ K(K(y,u) * K(x,y),z * K(u,y)). [para(10299(a,1),9209(a,1,1))]. 11266 x / T((K(y,z) * K(u,y)) * x,K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. [para(16(a,1),9216(a,1,2,1,1))]. 11267 x / T(K(y,z) * (K(u,y) * x),K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. [para(10270(a,1),11266(a,1,2,1))]. 11268 T(x,L(T(T(y * z,z) / y,y * K(z,y * z)),u,w)) = T(x,L((y * z) / y,u,w)). [para(10833(a,1),9889(a,1,2,1,2))]. 11269 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(21(a,1),9966(a,2,1))]. 11270 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [hyper(255,a,6741,a(flip),b,11269,a),flip(a)]. 11279 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). [para(10289(a,1),10291(a,2,2,1,1))]. 11280 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5381(a,1),11279(a,2,2,1))]. 11282 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5381(a,1),11280(a,1,1,2,1))]. 11283 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(255,a,5620,a(flip),b,11282,a(flip)),flip(a)]. 11284 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). [para(11282(a,1),453(a,1,1,1)),flip(a)]. 11285 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). [para(11282(a,2),10198(a,1,1))]. 11287 R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(8100(a,1),11285(a,1,1,1,2,1))]. 11288 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(73(a,1),10633(a,2,2,2,1,1,2))]. 11289 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(73(a,1),11288(a,1,2))]. 11290 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(11289(a,1),10323(a,1,1))]. 11291 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(255,a,7193,a(flip),b,11290,a(flip)),flip(a)]. 11292 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(10784,a,11291,a),flip(a)]. 11293 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(127(a,1),11291(a,1,2,2)),flip(a)]. 11294 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(10171,a,11292,a),flip(a)]. 11295 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(255,a,9243,a(flip),b,11292,a(flip)),flip(a)]. 11296 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(11295(a,1),5252(a,2,2)),flip(a)]. 11297 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(19(a,1),11294(a,1,2,2,2)),flip(a)]. 11298 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(35(a,2),11297(a,2,2))]. 11300 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(10163,a,11298,a)]. 11301 K(x,R(y,x,z)) = K(x,y). [hyper(255,a,10914,a(flip),b,11298,a(flip))]. 11303 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(255,a,9615,a,b,11301,a(flip)),flip(a)]. 11304 K(R(x,y,z),y) = K(x,y). [hyper(255,a,9493,a,b,11301,a(flip)),flip(a)]. 11305 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(255,a,9861,a(flip),b,11301,a(flip)),flip(a)]. 11306 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(255,a,6377,a(flip),b,11301,a(flip)),flip(a)]. 11307 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(51(a,1),11301(a,1,2))]. 11310 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(255,a,11304,a,b,11304,a)]. 11315 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(11310(a,1),9496(a,1,2)),flip(a)]. 11317 K(x / (y * z),y) = K(y \ (x / z),y). [hyper(6509,a,11306,a)]. 11318 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(10784,a,11305,a)]. 11320 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(255,a,8722,a,b,11305,a(flip)),flip(a)]. 11321 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [hyper(255,a,11291,a(flip),b,11305,a(flip)),flip(a)]. 11322 T(x,R(y,x,z)) = T(x,y). [hyper(255,a,7445,a(flip),b,11315,a)]. 11324 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(481(a,1),11322(a,1,2))]. 11325 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(255,a,8881,a,b,11317,a(flip)),flip(a)]. 11326 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(11318(a,1),11296(a,1,2))]. 11327 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(18(a,1),11320(a,1,2,1)),flip(a)]. 11328 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(11325(a,1),7626(a,1,1))]. 11330 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(255,a,6384,a,b,11307,a(flip)),flip(a)]. 11331 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(11300(a,1),462(a,1,1))]. 11333 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(255,a,9244,a(flip),b,11321,a(flip))]. 11334 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7651,a,11328,a)]. 11335 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(255,a,9474,a(flip),b,11334,a(flip)),flip(a)]. 11336 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(11335(a,1),6670(a,1,1,2)),flip(a)]. 11337 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(255,a,11327,a(flip),b,11333,a(flip))]. 11338 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(11337(a,1),6392(a,1))]. 11339 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(5255,a,11326,a),flip(a)]. 11340 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(255,a,6670,a(flip),b,11336,a)]. 11341 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(7899,a,11340,a)]. 11342 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(70(a,1),11341(a,1,2,1,2)),flip(a)]. 11343 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(255,a,8662,a,b,11342,a(flip)),flip(a)]. 11344 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(11301(a,1),11330(a,1,1))]. 11346 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(255,a,7132,a(flip),b,11331,a(flip))]. 11347 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(5340(a,1),11346(a,2,1))]. 11348 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(255,a,9300,a(flip),b,11347,a(flip)),flip(a)]. 11350 L(x,K(y,z),z * y) = x. [hyper(749,a,11348,a)]. 11354 L(x,y * z,K(z,y)) = x. [hyper(10957,a,11350,a)]. 11357 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(255,a,10305,a(flip),b,11354,a(flip)),flip(a)]. 11358 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(255,a,7263,a(flip),b,11354,a(flip))]. 11366 L(x,y,T(z,y)) = L(x,y,z). [para(5266(a,1),11357(a,1,3)),flip(a)]. 11368 L(x,y \ z,(y \ z) \ z) = L(x,y \ z,y). [hyper(255,a,1978,a(flip),b,11366,a(flip)),flip(a)]. 11372 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [para(11358(a,2),70(a,1,2))]. 11374 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(255,a,47,a,b,11324,a(flip)),flip(a)]. 11375 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4887(a,1),11343(a,2,2))]. 11376 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(255,a,4463,a(flip),b,11374,a)]. 11377 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(255,a,8873,a(flip),b,11375,a)]. 11378 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(255,a,8535,a(flip),b,11377,a)]. 11379 K(x,x \ T(y,z)) = K(x,T(x \ y,z)). [hyper(255,a,10911,a(flip),b,11378,a(flip)),flip(a)]. 11381 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(255,a,10637,a,b,11379,a(flip)),flip(a)]. 11383 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(11381(a,1),5263(a,2,1)),flip(a)]. 11384 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(255,a,9596,a(flip),b,11383,a(flip))]. 11385 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(11384(a,2),6082(a,1,2))]. 11386 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(225,a,11385,a)]. 11387 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(11386(a,1),10549(a,1,1))]. 11388 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(11387(a,1),11270(a,1,1)),flip(a)]. 11389 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [hyper(255,a,9425,a(flip),b,11388,a)]. 11390 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [hyper(255,a,5433,a(flip),b,11389,a(flip))]. 11391 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(20(a,1),11390(a,2,1))]. 11392 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(37(a,2),11391(a,1,3))]. 11393 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(11392(a,1),5350(a,1,2))]. 11394 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [hyper(255,a,9964,a(flip),b,11393,a(flip))]. 11395 (K(x * y,z) * y) * T(x,y) != x * u | y * K(x * y,z) = u. [para(11394(a,2),24(a,1))]. 11396 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(255,a,47,a,b,11376,a)]. 11397 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(11339(a,1),11396(a,1,1))]. 11398 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(20(a,1),11397(a,1,1,2,2)),flip(a)]. 11399 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(6165,a,11398,a),flip(a)]. 11400 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(11398(a,1),5674(a,1,2,1))]. 11401 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(255,a,1069,a(flip),b,11399,a(flip)),flip(a)]. 11402 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(18(a,1),11399(a,1,1,2)),flip(a)]. 11403 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(564(a,1),11399(a,1,1)),flip(a)]. 11407 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5995(a,1),11401(a,2,1))]. 11409 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(11403(a,1),7271(a,1,2,1)),flip(a)]. 11410 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1306(a,1),11402(a,1,1)),flip(a)]. 11411 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(255,a,179,a(flip),b,11410,a)]. 11412 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(47(a,2),11411(a,2,1))]. 11413 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(255,a,545,a(flip),b,11412,a)]. 11414 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(11413(a,1),5196(a,1,1))]. 11415 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(5486,a,11414,a),flip(a)]. 11416 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(8070,a,11415,a)]. 11417 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(255,a,10136,a,b,11416,a)]. 11418 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(6459,a,11400,a),flip(a)]. 11421 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(11418(a,1),5169(a,1,1,2))]. 11422 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(255,a,7542,a(flip),b,11293,a)]. 11423 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(255,a,7155,a(flip),b,11407,a)]. 11424 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(7153(a,1),11423(a,1,1)),flip(a)]. 11425 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(11424(a,1),10073(a,1,2))]. 11426 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5986(a,1),11421(a,1,1))]. 11427 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(255,a,47,a,b,11426,a(flip)),flip(a)]. 11428 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(5169(a,1),11427(a,1,1)),flip(a)]. 11429 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(255,a,49,a(flip),b,11428,a)]. 11430 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(11429(a,1),1373(a,1,1,1)),flip(a)]. 11431 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(255,a,7935,a(flip),b,11422,a)]. 11432 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(7899,a,11431,a)]. 11433 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(255,a,10839,a(flip),b,11432,a(flip)),flip(a)]. 11435 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(255,a,9460,a(flip),b,11433,a(flip)),flip(a)]. 11436 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(255,a,8932,a(flip),b,11435,a(flip))]. 11446 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(60(a,1),11436(a,1,2,2))]. 11463 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(255,a,10979,a(flip),b,10947,a(flip)),flip(a)]. 11464 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(255,a,10969,a(flip),b,11463,a(flip)),flip(a)]. 11465 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(255,a,10999,a(flip),b,11464,a(flip)),flip(a)]. 11466 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(17(a,1),11465(a,1,2,2,1))]. 11467 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(255,a,6042,a(flip),b,11466,a)]. 11468 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(255,a,11061,a(flip),b,11467,a)]. 11469 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(17(a,1),11468(a,2,2,2,1))]. 11470 K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * (x \ y),T(1 / (x \ y),x)). [para(73(a,1),11041(a,2,1,2))]. 11471 K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * (x \ y),x / y). [hyper(255,a,8411,a(flip),b,11470,a)]. 11473 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(7587(a,1),11060(a,2,2))]. 11474 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (y \ 1))) \ u). [hyper(255,a,6043,a(flip),b,11163,a)]. 11475 (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). [para(4722(a,1),11250(a,1,1))]. 11476 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2532(a,1),11264(a,1,1,2)),flip(a)]. 11477 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(6687(a,1),11476(a,2,1))]. 11478 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(255,a,9257,a,b,11477,a)]. 11479 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2535(a,1),11478(a,1,1,1))]. 11480 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5600(a,1),11479(a,1,1))]. 11481 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(255,a,10315,a(flip),b,11480,a(flip))]. 11482 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(8195(a,1),11481(a,1,1)),flip(a)]. 11483 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(T(y,u),x) * 1). [hyper(255,a,10293,a(flip),b,11265,a(flip))]. 11484 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(4710(a,1),11425(a,1,2,1)),flip(a)]. 11485 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(70(a,1),11474(a,2,2,1,2))]. 11486 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(6580(a,1),11485(a,1,2,1,1,2,1))]. 11487 K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). [hyper(255,a,10855,a(flip),b,11486,a(flip))]. 11488 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). [para(8235(a,1),11475(a,1,1,2))]. 11489 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(9013,a,11488,a),flip(a)]. 11490 R(K(x,y),L(y,z,u),w) = K(x,y). [para(9050(a,1),11489(a,1,1))]. 11491 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(255,a,7214,a(flip),b,11490,a(flip)),flip(a)]. 11493 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(255,a,6864,a(flip),b,11491,a)]. 11494 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(255,a,10800,a,b,11493,a(flip)),flip(a)]. 11495 K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. [para(11494(a,1),8566(a,1))]. 11496 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(y,T(x,u)) * 1). [para(7542(a,1),11483(a,2,2,1))]. 11497 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * K(y,T(x,u)). [para(17(a,1),11496(a,2,2))]. 11498 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (K(x,x \ y) * T(y,z)). [para(5221(a,1),6968(a,2,2))]. 11499 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = K(y,z). [hyper(255,a,6627,a(flip),b,11498,a)]. 11501 L(K((x \ 1) \ (x \ y),z),y / x,x) = K(y,z). [hyper(255,a,4782,a(flip),b,11499,a(flip)),flip(a)]. 11502 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(6798,a,8964,a),flip(a)]. 11503 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). [para(5428(a,1),11502(a,1,2)),flip(a)]. 11504 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(1943(a,2),9178(a,1,2,2))]. 11505 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(20(a,1),10110(a,1,1,1)),flip(a)]. 11507 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(10296(a,1),11505(a,1,2,1)),flip(a)]. 11509 ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(11507(a,1),6199(a,1,2,2))]. 11510 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(5564(a,1),11509(a,1,2)),flip(a)]. 11511 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(255,a,5551,a(flip),b,11510,a)]. 11513 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(255,a,5608,a(flip),b,11511,a)]. 11515 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(6198(a,1),11513(a,1,2))]. 11517 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). [hyper(255,a,1373,a(flip),b,11430,a)]. 11518 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(47(a,2),11517(a,2,3))]. 11519 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(112(a,1),11504(a,1,2)),flip(a)]. 11520 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3862(a,2),4042(a,1,1))]. 11528 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1150(a,1),6291(a,2,1))]. 11529 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(255,a,11528,a(flip),b,6292,a(flip))]. 11530 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1150(a,1),11529(a,1,1)),flip(a)]. 11531 K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). [para(11530(a,1),11103(a,1,1,1,1))]. 11532 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5563(a,2),11531(a,1,1))]. 11533 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(8342,a,11532,a)]. 11534 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(255,a,11084,a(flip),b,11533,a(flip)),flip(a)]. 11535 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(21(a,1),11534(a,1,2,2)),flip(a)]. 11536 K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. [para(11535(a,1),8122(a,1))]. 11543 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(255,a,10174,a(flip),b,7383,a(flip))]. 11545 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(x,y) * (K(z,x) * u)) / (1 * (K(x,y) * K(z,x)))). [para(16(a,2),10276(a,2,2,2))]. 11546 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). [hyper(255,a,11001,a(flip),b,10789,a(flip))]. 11547 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). [hyper(255,a,11469,a(flip),b,11546,a)]. 11548 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(255,a,11036,a(flip),b,11547,a)]. 11550 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2663(a,1),11548(a,1,2))]. 11551 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(11550(a,1),6670(a,1,1,2)),flip(a)]. 11552 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(255,a,6670,a(flip),b,11551,a)]. 11553 T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11552(a,1),6916(a,1,1,2))]. 11554 T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11038(a,1),11553(a,1,1,2))]. 11555 T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(59(a,1),11554(a,1,1,2,1,2))]. 11556 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5984(a,1),11555(a,1,1))]. 11557 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(255,a,45,a,b,11556,a(flip)),flip(a)]. 11558 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5820(a,1),11557(a,1,1)),flip(a)]. 11559 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4626,a,11558,a)]. 11560 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(11559(a,1),428(a,1,2))]. 11561 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(11559(a,1),7483(a,1,2))]. 11562 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10768(a,1),11561(a,1))]. 11563 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(415,a,11560,a),flip(a)]. 11564 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(317,a,11563,a),flip(a)]. 11566 (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(11563(a,1),10631(a,1,1,2))]. 11567 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(255,a,5430,a,b,11564,a),flip(a)]. 11570 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). [para(11564(a,1),10234(a,1,2,2)),flip(a)]. 11571 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). [para(11417(a,1),11567(a,1,1,2))]. 11572 K(x * L(y,z,u),y) = K(y * x,y). [hyper(255,a,7676,a(flip),b,11570,a)]. 11574 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [hyper(255,a,9167,a,b,11572,a)]. 11575 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(255,a,11258,a(flip),b,11572,a(flip)),flip(a)]. 11576 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(255,a,8057,a(flip),b,11572,a(flip))]. 11578 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(255,a,11021,a(flip),b,11576,a(flip)),flip(a)]. 11579 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(8567,a,11578,a)]. 11581 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(255,a,5734,a(flip),b,11575,a)]. 11582 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(11495,a,11581,a)]. 11583 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(255,a,11259,a(flip),b,11581,a(flip)),flip(a)]. 11584 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(11581(a,1),9881(a,1,1,2))]. 11585 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(10250,a,11574,a)]. 11586 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(11585(a,2),10064(a,2,2))]. 11589 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(255,a,11019,a(flip),b,11583,a)]. 11590 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,v5,v6)). [para(11564(a,2),11586(a,1,2))]. 11591 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(112(a,1),11589(a,1,1,2))]. 11592 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(8697,a,11591,a)]. 11593 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [hyper(255,a,8909,a(flip),b,11591,a(flip)),flip(a)]. 11594 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [hyper(255,a,11057,a,b,11593,a(flip)),flip(a)]. 11596 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(255,a,11018,a(flip),b,11592,a)]. 11597 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(255,a,10001,a(flip),b,11596,a(flip)),flip(a)]. 11598 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(33(a,2),11597(a,2,1))]. 11599 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(11562,a,11598,a),flip(a)]. 11600 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(10942,a,11599,a)]. 11603 K(x,(y * ((y \ z) / u)) \ z) = K(x,L(u,y \ z,y)). [hyper(7306,a,11600,a)]. 11604 K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). [hyper(255,a,5381,a,b,11600,a),flip(a)]. 11605 K((x \ 1) \ (x \ y),L(z,y / x,x)) = K(y,z). [hyper(255,a,11501,a(flip),b,11600,a(flip))]. 11606 K(x,L(y,K(z,u),u * z)) = K(x,y). [hyper(255,a,11350,a(flip),b,11600,a(flip))]. 11607 K(x \ y,L(z,y,y \ 1)) = K(((y \ 1) * x) \ 1,z). [hyper(255,a,7031,a(flip),b,11600,a(flip))]. 11611 K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11600(a,1),1434(a,1,2,1))]. 11614 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). [para(11600(a,1),9938(a,1,2))]. 11615 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(11600(a,1),9941(a,1,2))]. 11616 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(11600(a,1),9943(a,1,1))]. 11617 K(x,L(y,z,u)) * a(u,z,K(x,y)) = K(x,y). [para(11600(a,1),9953(a,1,1))]. 11618 ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). [para(11600(a,1),9947(a,1,2))]. 11621 K(x,L(y,T(z,u),u)) = K(x,L(y,z,u)). [para(10958(a,1),11606(a,1,2))]. 11622 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(11604(a,1),5384(a,1))]. 11624 K(x,L(y,z / u,u)) = K(x,L(y,u \ z,u)). [para(129(a,1),11621(a,1,2,2)),flip(a)]. 11626 K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. [para(7006(a,2),11622(a,1))]. 11630 K(L(x,y,z),u) * a(z,y,K(x,u)) = K(x,u). [para(11614(a,1),5626(a,1,2))]. 11631 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(11614(a,1),5545(a,1,2)),flip(a)]. 11633 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [hyper(6674,a,11615,a)]. 11637 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(23,a,11617,a,b,11630,a)]. 11641 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(437(a,1),11637(a,1,1)),flip(a)]. 11642 (x / y) * K(z,L(y,u,w)) = x / T(y,L(z,u,w)). [para(11637(a,1),6718(a,1,2))]. 11644 K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). [para(11637(a,1),9956(a,1,1))]. 11647 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(255,a,9949,a(flip),b,11633,a(flip)),flip(a)]. 11649 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(11647(a,1),10089(a,2,2))]. 11656 K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). [para(437(a,1),11641(a,1,2))]. 11658 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(23,a,11616,a,b,11644,a),flip(a)]. 11659 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(19(a,1),11658(a,1,2,2))]. 11660 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(10941(a,1),11659(a,2,2))]. 11661 K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). [para(19(a,1),11656(a,1,2)),flip(a)]. 11662 K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). [para(19(a,1),11661(a,1,1)),flip(a)]. 11663 K(x,(y \ 1) \ (y \ L(z,x / y,y))) = K(x,z). [hyper(255,a,11605,a(flip),b,11662,a(flip))]. 11664 K(x,L((y \ 1) \ (y \ z),x / y,y)) = K(x,z). [para(1871(a,2),11663(a,1,2))]. 11665 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K(x,z). [hyper(255,a,11624,a(flip),b,11664,a(flip)),flip(a)]. 11666 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(255,a,9791,a(flip),b,11603,a(flip))]. 11667 K(x,(y \ 1) \ (y \ L(z,y \ x,(y \ x) \ 1))) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(255,a,11662,a(flip),b,11607,a(flip)),flip(a)]. 11672 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [hyper(255,a,11642,a(flip),b,11618,a(flip)),flip(a)]. 11673 (x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(4669(a,1),11672(a,1,1))]. 11674 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(11649(a,1),9722(a,2,2))]. 11677 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(255,a,11058,a(flip),b,11666,a(flip)),flip(a)]. 11680 L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). [hyper(255,a,10076,a(flip),b,11566,a(flip)),flip(a)]. 11683 a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). [para(21(a,1),11680(a,1,2)),flip(a)]. 11684 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(6129(a,1),11584(a,1,1,2)),flip(a)]. 11685 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(255,a,6663,a(flip),b,11684,a)]. 11686 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1419(a,1),11685(a,1,1))]. 11687 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(11686(a,1),10119(a,2,2))]. 11688 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(255,a,6712,a(flip),b,11687,a)]. 11689 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5986(a,1),11571(a,1,1))]. 11690 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5894(a,1),11689(a,1,1,1,2))]. 11691 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(255,a,47,a,b,11690,a(flip)),flip(a)]. 11692 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5820(a,1),11691(a,1,1)),flip(a)]. 11693 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(255,a,11564,a(flip),b,11692,a(flip)),flip(a)]. 11694 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(11692(a,1),11590(a,1,2))]. 11695 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(11693(a,1),461(a,1,1)),flip(a)]. 11696 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(255,a,122,a(flip),b,11695,a)]. 11697 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10543(a,1),11696(a,1,1,1)),flip(a)]. 11698 K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(5600(a,1),11611(a,1,2))]. 11699 K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11637(a,1),11698(a,1,2,1))]. 11700 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(5272(a,1),11699(a,1,2))]. 11701 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(11631(a,1),11700(a,1,2)),flip(a)]. 11702 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [hyper(255,a,11055,a(flip),b,11660,a(flip))]. 11703 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(11688(a,1),11674(a,1,2))]. 11704 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(255,a,7844,a(flip),b,11703,a(flip))]. 11705 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [para(11637(a,1),11704(a,2,1))]. 11706 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(255,a,11616,a(flip),b,11705,a)]. 11707 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(222,a,11706,a),flip(a)]. 11709 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(18(a,1),11707(a,1,3,1)),flip(a)]. 11710 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(5375(a,1),11707(a,1,3)),flip(a)]. 11711 a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). [para(5377(a,1),11707(a,1,3)),flip(a)]. 11712 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). [para(6009(a,1),11707(a,1,3))]. 11713 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(11709(a,2),10207(a,1,1))]. 11714 a(x,y,K(x * z,z)) = 1. [hyper(255,a,7426,a(flip),b,11710,a)]. 11715 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). [para(11710(a,1),11701(a,2,2,2))]. 11716 L(K(x * y,y),z,x) = K(x * y,y). [hyper(38,a,11714,a)]. 11717 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(11716(a,1),7561(a,2,1))]. 11718 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(10209,a,11713,a)]. 11719 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(19(a,1),11718(a,1,3,2)),flip(a)]. 11720 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [hyper(255,a,11711,a,b,11719,a(flip)),flip(a)]. 11721 a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). [para(5584(a,1),11720(a,1,3)),flip(a)]. 11722 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(255,a,11712,a,b,11721,a(flip)),flip(a)]. 11723 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(6707(a,1),11722(a,1,3))]. 11724 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(8654(a,1),11717(a,1,2,2))]. 11725 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [para(7559(a,1),11724(a,1,2)),flip(a)]. 11726 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(255,a,9810,a(flip),b,11725,a(flip))]. 11727 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(9808(a,1),11726(a,1,2)),flip(a)]. 11728 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(310,a,11727,a),flip(a)]. 11729 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [hyper(255,a,11594,a(flip),b,11702,a)]. 11730 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [hyper(11626,a,11729,a)]. 11731 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [hyper(255,a,11055,a(flip),b,11730,a(flip)),flip(a)]. 11732 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [hyper(255,a,11677,a(flip),b,11731,a(flip)),flip(a)]. 11733 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(37(a,2),11732(a,2,1,2))]. 11734 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(255,a,11016,a(flip),b,11733,a(flip)),flip(a)]. 11735 K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). [para(11734(a,1),5605(a,1,2,1)),flip(a)]. 11736 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11734(a,1),11231(a,1,1,2,2))]. 11737 K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). [hyper(255,a,5605,a(flip),b,11735,a)]. 11738 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(255,a,5554,a(flip),b,11715,a)]. 11739 K(x,L((y \ 1) \ (y \ z),y \ x,(y \ x) \ 1)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [para(1871(a,2),11667(a,1,2))]. 11740 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11737(a,1),11736(a,1,2,1,1))]. 11741 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(255,a,11231,a(flip),b,11740,a(flip))]. 11742 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R(R(1 / y,y,x) \ 1,z,u). [para(4543(a,1),4562(a,2,2,1,1))]. 11743 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R((1 / y) * R((1 / y) \ 1,z,u),y,x). [hyper(255,a,3802,a(flip),b,11742,a)]. 11744 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(1172(a,1),11743(a,2,1))]. 11745 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(4449(a,1),11744(a,1,1,2,1))]. 11746 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(4469(a,1),11745(a,1,1))]. 11747 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(7477(a,1),11746(a,1,1)),flip(a)]. 11748 R(x \ R(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). [para(4036(a,1),11747(a,1,1))]. 11749 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(9153(a,1),11748(a,1,1)),flip(a)]. 11750 R(a(x,y,x),x,z) = a(x,y,x). [hyper(10068,a,11749,a),flip(a)]. 11752 ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(255,a,458,a,b,11750,a(flip)),flip(a)]. 11753 (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(9161(a,1),11752(a,1,1,1))]. 11754 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(461(a,1),11753(a,1,1))]. 11755 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(11696(a,1),11754(a,1,1))]. 11756 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(11755(a,1),10083(a,1))]. 11757 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). [para(5911(a,1),5650(a,1,1,2,1)),flip(a)]. 11758 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). [para(5381(a,1),11757(a,2,1,2))]. 11760 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). [para(6672(a,1),11758(a,2,1))]. 11761 T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). [hyper(96,a,11760,a)]. 11762 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). [para(11761(a,1),3407(a,1,1,1)),flip(a)]. 11763 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(6343(a,1),11762(a,2,1))]. 11764 T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(6125(a,1),11763(a,1,2,2))]. 11765 T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(8492(a,1),11764(a,1,2))]. 11766 ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). [para(8523(a,1),11765(a,1,2)),flip(a)]. 11767 ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). [hyper(255,a,8633,a(flip),b,11766,a)]. 11769 K((T(x,y) \ ((x \ 1) \ K(z,x))) \ 1,((x \ K(x,z)) * T(x,y)) \ 1) = K(((x \ 1) \ K(z,x)) \ T(x,y),T(x,y) \ ((x \ 1) \ K(z,x))). [para(11767(a,1),6598(a,1,2,1))]. 11770 (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11767(a,2),7103(a,1,2,1))]. 11771 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (K(y,x) * (x \ 1)) * z. [para(6540(a,1),6438(a,2,1,1))]. 11772 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (T(x,y) \ 1) * z. [para(5209(a,1),11771(a,2,1))]. 11774 (x \ 1) * (R(K(y,x),x \ 1,z) * z) = (T(x,y) \ 1) * z. [para(6437(a,1),11772(a,1,2,1))]. 11775 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(10531(a,1),11774(a,1,2,1))]. 11776 T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). [para(11775(a,1),6543(a,1,2))]. 11778 L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). [hyper(255,a,4739,a(flip),b,11776,a(flip)),flip(a)]. 11780 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). [hyper(255,a,4806,a(flip),b,11778,a(flip)),flip(a)]. 11784 K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [para(11780(a,1),11067(a,1,2,1))]. 11785 K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(255,a,6605,a(flip),b,11784,a(flip))]. 11787 K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(255,a,11487,a(flip),b,11785,a(flip)),flip(a)]. 11788 K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). [hyper(255,a,11446,a(flip),b,11787,a(flip))]. 11789 K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). [hyper(255,a,7073,a(flip),b,11788,a(flip))]. 11790 L(K(x,y),z,z \ 1) = L(K(x,y),z,z \ x). [hyper(9588,a,11789,a),flip(a)]. 11791 L(K(x,y),z,z \ x) = K(x,L(y,z,z \ 1)). [hyper(11622,a,11790,a),flip(a)]. 11792 K(x,L(y,z,z \ 1)) = K(x,L(y,z,z \ x)). [hyper(11622,a,11791,a),flip(a)]. 11793 K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)). [para(11368(a,1),11792(a,2,2))]. 11794 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(255,a,11739,a(flip),b,11793,a(flip))]. 11795 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [hyper(255,a,11665,a(flip),b,11794,a(flip))]. 11798 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [hyper(255,a,5768,a(flip),b,11795,a(flip)),flip(a)]. 11801 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(11798(a,1),7361(a,2,1))]. 11802 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(255,a,5190,a(flip),b,11801,a)]. 11804 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(10485(a,1),11802(a,2,2))]. 11805 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(7058(a,1),11804(a,1,1))]. 11806 (L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4861(a,1),7352(a,1,2))]. 11807 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(5141(a,1),11806(a,1,2))]. 11808 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(255,a,11254,a(flip),b,11807,a(flip))]. 11810 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(162(a,1),11808(a,1,2,2,1))]. 11811 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(11810(a,1),4311(a,1,2))]. 11812 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(11811(a,1),8093(a,2,1))]. 11813 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(L(T(x,K(z,u)),K(z,u),K(y,z)),K(y,z)). [para(179(a,1),8732(a,1,1)),flip(a)]. 11814 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)). [para(10278(a,1),11813(a,2,1))]. 11815 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)). [hyper(255,a,8193,a,b,11814,a)]. 11817 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [hyper(255,a,9127,a(flip),b,11815,a(flip))]. 11818 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [hyper(8205,a,11817,a)]. 11820 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [para(2075(a,2),11817(a,2,2))]. 11821 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(11817(a,1),9909(a,1,1))]. 11822 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(2075(a,2),11818(a,2,2))]. 11823 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(5829,a,11820,a)]. 11824 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(255,a,11482,a,b,11820,a(flip)),flip(a)]. 11825 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(255,a,9630,a,b,11820,a(flip)),flip(a)]. 11826 T(K(x,y) * z,K(x,u) * K(y,x)) = T(z * K(x,y),K(x,u)). [hyper(255,a,6870,a(flip),b,11820,a(flip))]. 11827 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). [para(9490(a,1),11822(a,1,1,2)),flip(a)]. 11828 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(11822(a,1),10331(a,2,1))]. 11829 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(255,a,11820,a(flip),b,11823,a(flip))]. 11830 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(5353,a,11829,a)]. 11832 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2075(a,2),11824(a,1,2,1))]. 11833 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(22,a,11824,a,b,11830,a),flip(a)]. 11834 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(11830(a,1),5255(a,1))]. 11835 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(2075(a,2),11833(a,1,1))]. 11836 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(2075(a,1),11835(a,2,2))]. 11837 K(K(x,y) * K(z,x),u) / (K(y,x) * K(x,z)) = 1 / T(K(y,x) * K(x,z),u). [hyper(81,a,11836,a,b,5183,a(flip))]. 11838 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(22,a,5252,a(flip),b,11832,a)]. 11839 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(255,a,11836,a(flip),b,11838,a(flip))]. 11840 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(11838(a,1),5252(a,2,2)),flip(a)]. 11841 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(11820(a,2),11834(a,1))]. 11843 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(5281,a,11821,a),flip(a)]. 11845 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(255,a,11833,a(flip),b,11843,a)]. 11846 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). [para(6375(a,1),11843(a,1,2,2)),flip(a)]. 11847 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(255,a,11838,a,b,11845,a)]. 11848 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(255,a,11132,a,b,11845,a(flip))]. 11849 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [hyper(255,a,10117,a,b,11845,a(flip)),flip(a)]. 11850 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)). [para(8154(a,1),11845(a,1,1))]. 11851 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(8428(a,1),11845(a,1,1))]. 11852 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)). [hyper(255,a,11839,a(flip),b,11850,a)]. 11853 x / T((K(y,z) * x) * K(z,u),K(z,y)) = ((1 * (K(z,u) * K(y,z))) * x) \ x. [para(11826(a,1),11267(a,1,2))]. 11854 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(255,a,11818,a(flip),b,11825,a(flip))]. 11855 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(255,a,5177,a,b,11828,a)]. 11856 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5600(a,1),11855(a,1,2))]. 11857 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(255,a,11109,a(flip),b,11848,a)]. 11858 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [para(2075(a,1),11857(a,1,2))]. 11859 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(18(a,1),11858(a,1,2,2,2,3))]. 11860 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(11834,a,11854,a)]. 11861 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(255,a,5252,a(flip),b,11860,a),flip(a)]. 11862 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). [para(9629(a,1),11827(a,2,1))]. 11863 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(5448,a,11840,a)]. 11864 (x * (K(y,z) * K(z,u))) / x = T(K(z,u) * K(y,z),x). [para(2075(a,1),11863(a,1,1,2))]. 11865 T(K(x,y) * K(z,x),u) * u = u * (K(z,x) * K(x,y)). [para(11864(a,1),21(a,1,1))]. 11867 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(22,a,5252,a(flip),b,11861,a),flip(a)]. 11868 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(255,a,11823,a(flip),b,11862,a)]. 11869 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(9490(a,1),11868(a,1,2,2))]. 11870 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(255,a,11829,a,b,11869,a),flip(a)]. 11871 K(K(x,y) * K(z,x),u) * (K(z,x) * K(x,y)) = 1 / T(K(y,x) * K(x,z),u). [hyper(255,a,9214,a(flip),b,11837,a(flip)),flip(a)]. 11872 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). [para(8134(a,1),11849(a,1,2,2,2))]. 11873 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8428(a,1),11851(a,1,2)),flip(a)]. 11874 K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. [para(11873(a,1),8008(a,1))]. 11876 K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. [para(11843(a,1),11874(a,1))]. 11877 K(K(x,y) * K(z,x),u) != w | K(u,K(x,y) * K(z,x)) = w. [para(11847(a,1),11874(a,1))]. 11878 K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w. [para(11856(a,2),11877(a,1))]. 11879 x / T(K(y,z) * (x * K(z,u)),K(z,y)) = ((1 * (K(z,u) * K(y,z))) * x) \ x. [para(7465(a,1),11853(a,1,2,1))]. 11880 K(K(x,y),K(y,z)) * T(K(y,z) * K(x,y),u) = 1 / T(K(z,y) * K(y,x),u). [hyper(255,a,6958,a(flip),b,11871,a(flip)),flip(a)]. 11881 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(5869,a,11872,a)]. 11882 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(8134(a,1),11881(a,1,1))]. 11883 ((1 * (K(x,y) * K(z,x))) * u) \ u = u / ((u * K(x,y)) * K(z,x)). [para(8197(a,1),11879(a,1,2)),flip(a)]. 11884 ((1 * (K(x,y) * K(z,x))) * u) \ u = u / (u * (K(z,x) * K(x,y))). [para(9128(a,1),11883(a,2,2))]. 11885 x / (x * (K(y,z) * K(z,u))) = ((K(z,u) * K(y,z)) * x) \ x. [para(16(a,1),11884(a,1,1,1)),flip(a)]. 11886 x / (x * (K(y,z) * K(z,u))) = (K(z,u) * (K(y,z) * x)) \ x. [para(10270(a,1),11885(a,2,1))]. 11887 1 / T(K(x,y) * K(y,z),u) = 1 * T(K(y,x) * K(z,y),u). [para(2073(a,1),11880(a,1,1)),flip(a)]. 11888 1 / T(K(x,y) * K(y,z),u) = T(K(y,x) * K(z,y),u). [hyper(255,a,16,a(flip),b,11887,a)]. 11890 T(K(x,y) * K(z,x),u) \ 1 = T(K(y,x) * K(x,z),u). [para(11888(a,1),73(a,1,1))]. 11891 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))). [para(9317(a,1),11846(a,2,2))]. 11892 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(255,a,11843,a(flip),b,11891,a)]. 11893 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(6375(a,1),11892(a,1,1,2))]. 11894 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(11073(a,1),9614(a,1,1,2))]. 11895 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(8096(a,1),11894(a,1,1))]. 11896 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(47(a,2),11895(a,1,2))]. 11897 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(204(a,1),11896(a,1,2,1))]. 11898 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(255,a,9617,a(flip),b,11897,a(flip)),flip(a)]. 11899 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(255,a,10285,a(flip),b,11898,a(flip)),flip(a)]. 11901 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(255,a,9817,a(flip),b,11899,a(flip))]. 11902 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(7743(a,1),11901(a,2,2))]. 11903 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(255,a,4644,a(flip),b,11902,a)]. 11904 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(9613(a,1),11903(a,1,1,1))]. 11905 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(11073(a,1),11904(a,1,1)),flip(a)]. 11906 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(11905(a,1),5593(a,1))]. 11907 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). [para(9739(a,1),9742(a,1,2,1,1)),flip(a)]. 11908 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w). [hyper(255,a,3818,a(flip),b,11907,a)]. 11910 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1150(a,1),11908(a,2,1))]. 11911 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1150(a,1),11910(a,1,1))]. 11912 a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)). [para(11911(a,1),11615(a,1,2,2))]. 11913 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(18(a,1),11503(a,2,1,1))]. 11914 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(255,a,9757,a(flip),b,11913,a)]. 11916 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(18(a,1),11914(a,1,1,1))]. 11917 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(18(a,1),11916(a,1,2,2))]. 11918 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(6475(a,1),11917(a,1,2,1,3))]. 11919 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(7376(a,1),7377(a,2,2,1,1))]. 11920 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(73(a,1),11919(a,2,2,1))]. 11922 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(255,a,4034,a(flip),b,11920,a)]. 11923 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(73(a,1),11922(a,1,1,2,1))]. 11924 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(4034(a,1),11923(a,1,1))]. 11925 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(6861,a,11924,a)]. 11926 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(11925(a,1),11520(a,1,1,1))]. 11927 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(255,a,704,a(flip),b,11926,a(flip)),flip(a)]. 11928 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(122(a,1),11927(a,1,1,2))]. 11929 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(29(a,2),11928(a,1,1)),flip(a)]. 11930 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(255,a,10628,a(flip),b,11929,a),flip(a)]. 11931 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(29(a,2),11930(a,2,1,1)),flip(a)]. 11933 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). [hyper(255,a,7319,a(flip),b,9621,a(flip))]. 11935 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). [hyper(255,a,3867,a(flip),b,11933,a)]. 11936 T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). [para(2245(a,1),11935(a,1,2,1)),flip(a)]. 11938 (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). [para(5600(a,1),10179(a,1,1,2))]. 11939 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(255,a,10266,a(flip),b,10306,a(flip)),flip(a)]. 11940 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(11262,a,11939,a)]. 11943 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(10244(a,1),11940(a,2,2,2))]. 11944 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(19(a,1),11943(a,2,2,2,1))]. 11945 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(18(a,1),11944(a,2,2))]. 11947 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(255,a,10252,a(flip),b,11945,a)]. 11948 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(255,a,11263,a(flip),b,11947,a(flip))]. 11949 a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(11947(a,1),4788(a,1))]. 11951 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10844(a,1),11232(a,1,2,1,1))]. 11952 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(10280(a,2),11545(a,2,2,1))]. 11954 ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). [para(7091(a,1),11938(a,1,1))]. 11955 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(255,a,11231,a(flip),b,11951,a(flip))]. 11956 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(9486,a,11955,a),flip(a)]. 11957 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(9340,a,11956,a)]. 11958 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(8719,a,11957,a),flip(a)]. 11959 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(11958(a,1),10908(a,1,1))]. 11960 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(255,a,10907,a(flip),b,11959,a(flip)),flip(a)]. 11961 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(11338,a,11960,a),flip(a)]. 11962 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(255,a,7384,a(flip),b,11961,a(flip))]. 11963 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(35(a,2),11962(a,1,2,1)),flip(a)]. 11964 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(478(a,1),11963(a,2,2,1))]. 11965 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(5584(a,1),11963(a,1,1)),flip(a)]. 11966 K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). [para(5890(a,1),11963(a,1,1)),flip(a)]. 11967 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(11409(a,1),11963(a,1,1))]. 11968 K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). [hyper(255,a,5817,a,b,11966,a(flip)),flip(a)]. 11970 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(11965(a,1),11967(a,1,1)),flip(a)]. 11971 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(5817(a,1),11964(a,1,1))]. 11972 T(K(x,y) * K(z,x),u) * u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(16(a,2),11952(a,2,1))]. 11973 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(4497(a,1),4421(a,1,1,2)),flip(a)]. 11974 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(255,a,1803,a(flip),b,11973,a)]. 11975 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(4417(a,1),11974(a,1,3))]. 11976 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(11975(a,1),6453(a,1,1,1))]. 11977 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(11975(a,1),11976(a,1,2))]. 11978 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(286,a,11977,a)]. 11979 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(255,a,4953,a(flip),b,11978,a(flip)),flip(a)]. 11980 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(11979(a,1),169(a,1,2))]. 11981 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(73(a,1),4427(a,1,1,2))]. 11982 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(45(a,2),11981(a,1,1))]. 11983 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(3053(a,1),11982(a,1,1))]. 11984 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(73(a,1),11983(a,1,2,2,2))]. 11985 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(45(a,2),11984(a,1,2,2))]. 11986 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(3053(a,1),11985(a,1,2,2))]. 11987 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(18(a,1),11986(a,1,2))]. 11989 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(11987(a,1),10813(a,1,1)),flip(a)]. 11990 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [para(11989(a,1),73(a,1,1))]. 11991 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(255,a,3062,a(flip),b,11990,a(flip)),flip(a)]. 11993 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u * K(y,x))). [para(6673(a,1),9138(a,2,2,2))]. 11995 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))). [para(6740(a,1),9716(a,1,1)),flip(a)]. 11996 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = K(x,L(y,u,w)) * (x * K(y,z)). [hyper(255,a,5677,a(flip),b,11995,a)]. 11998 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = T(x,L(y,u,w)) * K(y,z). [hyper(255,a,5272,a(flip),b,11996,a)]. 11999 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(6740(a,1),11998(a,1,2))]. 12000 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(255,a,7977,a(flip),b,11999,a(flip)),flip(a)]. 12002 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(255,a,11631,a(flip),b,12000,a)]. 12003 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(12002(a,1),5295(a,1,1))]. 12004 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(12002(a,1),5434(a,1,1))]. 12006 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(255,a,8147,a(flip),b,11241,a(flip))]. 12007 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(8136,a,12006,a)]. 12009 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(8915(a,1),12007(a,1,2))]. 12010 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,9528,a(flip),b,12009,a(flip)),flip(a)]. 12011 R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(9313(a,1),11287(a,1,1,1,2))]. 12018 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ (K(x,y) * (K(z,x) * (u * K(y,x)))). [para(10270(a,1),11993(a,2,2))]. 12028 R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). [para(11882(a,1),12011(a,1,1,1))]. 12029 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ T(K(z,x) * u,K(x,y)). [para(8745(a,1),12018(a,2,2))]. 12030 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(K(z,x),u) * K(K(z,x) * u,K(x,y)). [hyper(255,a,7126,a(flip),b,12029,a)]. 12031 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(K(z,x) * u,K(x,y)). [para(8153(a,1),12030(a,2,1))]. 12032 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(u,K(x,y)). [para(8426(a,1),12031(a,2,2))]. 12033 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [hyper(255,a,11852,a(flip),b,12032,a)]. 12035 K(K(x,y) * K(z,x),R(u * K(y,x),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [para(6673(a,1),12033(a,1,2,1))]. 12036 K(K(x,y) * K(z,x),u * K(y,x)) = K(u,K(z,x) * K(x,y)). [para(9131(a,1),12035(a,1,2))]. 12038 (K(x,y) * K(z,x)) \ K(u,K(z,x) * K(x,y)) = K(x,T(z,u)) * K(y,T(x,u)). [para(12036(a,1),11497(a,1,2))]. 12039 K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)) = K(x * (T(x,y) \ z),T(x,y) / z). [hyper(255,a,11471,a(flip),b,9081,a(flip))]. 12040 K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)) = K(K(y,x) * z,T(x,y) / z). [para(5225(a,1),12039(a,2,1))]. 12041 K((1 / (T(x,y) \ z)) \ x,(T(x,y) \ z) \ 1) = K(K(y,x) * z,T(x,y) / z). [hyper(5580,a,12040,a)]. 12042 K(x * (T(x,y) \ z),(T(x,y) \ z) \ 1) = K(K(y,x) * z,T(x,y) / z). [hyper(255,a,6286,a(flip),b,12041,a(flip)),flip(a)]. 12043 K(K(x,y) * z,(T(y,x) \ z) \ 1) = K(K(x,y) * z,T(y,x) / z). [para(5225(a,1),12042(a,1,1))]. 12044 K(K(x,y) * z,T(y,x) / z) = K(K(x,y) * z,z \ T(y,x)). [hyper(6817,a,12043,a),flip(a)]. 12045 K((T(x,y) / z) \ x,T(x,y) / z) = K(K(y,x) * z,z \ T(x,y)). [hyper(255,a,10946,a,b,12044,a(flip)),flip(a)]. 12046 K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K(K(y,x) * z,z \ T(x,y)). [hyper(255,a,8887,a,b,12045,a(flip)),flip(a)]. 12047 (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9367(a,1),9221(a,1,1,2))]. 12048 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9219(a,1),12047(a,1,2,1))]. 12049 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(4036(a,1),12048(a,1,2,2))]. 12050 R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(3653(a,1),12049(a,1,2)),flip(a)]. 12052 R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(9219(a,1),12050(a,1,2,1))]. 12054 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(9367(a,1),12052(a,1,2)),flip(a)]. 12055 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(9219(a,1),12054(a,2,3))]. 12056 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [hyper(255,a,10081,a(flip),b,12055,a)]. 12058 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(10647(a,2),12056(a,1,1,2))]. 12059 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(9212,a,12058,a)]. 12060 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [para(7542(a,1),12059(a,1,2))]. 12061 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(12060(a,1),6663(a,1,1)),flip(a)]. 12062 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(255,a,5131,a(flip),b,12061,a)]. 12063 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(1450(a,1),10435(a,1,1))]. 12064 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(255,a,8741,a(flip),b,12063,a)]. 12066 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [para(12064(a,1),19(a,1,2))]. 12067 (K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(12066(a,1),11954(a,1,1))]. 12068 (K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(10178(a,1),12067(a,1,2))]. 12069 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(962,a,12068,a)]. 12070 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(255,a,5600,a(flip),b,12069,a)]. 12071 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). [hyper(255,a,9040,a,b,12070,a(flip)),flip(a)]. 12072 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3225,a,12071,a),flip(a)]. 12073 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(9334,a,12072,a),flip(a)]. 12075 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(9329,a,12073,a),flip(a)]. 12077 K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). [para(12075(a,1),10588(a,1,1))]. 12078 T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). [hyper(5565,a,12077,a)]. 12079 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10543(a,1),12077(a,1,2,2))]. 12080 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(12078(a,1),10253(a,1))]. 12081 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10257(a,1),12079(a,1,2))]. 12082 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5612,a,12081,a)]. 12083 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(12080,a,12082,a)]. 12085 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(12083(a,1),10823(a,1,1)),flip(a)]. 12086 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(12085(a,1),11931(a,1,1))]. 12088 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(255,a,11931,a(flip),b,12086,a(flip))]. 12089 (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [hyper(255,a,9513,a,b,12088,a),flip(a)]. 12090 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(7197(a,1),12089(a,1,1,2))]. 12091 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(569(a,1),12090(a,1,1))]. 12092 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(184(a,1),12091(a,1,2)),flip(a)]. 12093 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). [hyper(255,a,1373,a(flip),b,12092,a)]. 12094 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(47(a,2),12093(a,2,3))]. 12095 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(255,a,12088,a(flip),b,12094,a(flip)),flip(a)]. 12096 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(255,a,12083,a(flip),b,12095,a(flip)),flip(a)]. 12098 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(255,a,11948,a(flip),b,12096,a(flip))]. 12100 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [hyper(255,a,11518,a,b,12098,a(flip)),flip(a)]. 12101 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(9753,a,12100,a)]. 12103 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(12101(a,1),11484(a,1,2)),flip(a)]. 12104 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(37(a,2),12103(a,2,2,2))]. 12105 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(10357(a,1),12104(a,2,2))]. 12106 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(255,a,11694,a(flip),b,12105,a(flip)),flip(a)]. 12107 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(319(a,1),12106(a,1,2,3))]. 12108 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(10030,a,12107,a)]. 12109 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(11756,a,12108,a)]. 12110 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(255,a,12101,a(flip),b,12108,a(flip))]. 12111 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(19(a,1),12109(a,1,2)),flip(a)]. 12112 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(12111(a,1),10255(a,1,2)),flip(a)]. 12113 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12111(a,1),10267(a,1,2)),flip(a)]. 12114 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [hyper(255,a,10543,a(flip),b,12112,a(flip))]. 12115 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(12110(a,1),10359(a,1,1))]. 12116 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(255,a,10349,a(flip),b,12115,a(flip)),flip(a)]. 12117 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(10562(a,1),12114(a,1,2,1)),flip(a)]. 12118 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(255,a,12113,a,b,12117,a)]. 12120 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(12118(a,1),11697(a,2,1,1))]. 12121 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. [hyper(255,a,461,a(flip),b,10706,a)]. 12122 (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [hyper(255,a,1902,a(flip),b,12121,a(flip)),flip(a)]. 12123 (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5606(a,1),12122(a,1,1,2,1))]. 12124 (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(6029(a,1),12123(a,1,1,2,1))]. 12125 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(8270(a,1),12124(a,1,1,2,1)),flip(a)]. 12126 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(255,a,4616,a(flip),b,12125,a(flip))]. 12128 (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). [para(12126(a,1),1320(a,2,1,2)),flip(a)]. 12129 (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). [para(5600(a,1),12128(a,1,1))]. 12130 (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). [para(10303(a,1),12129(a,1,1))]. 12131 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(303,a,12130,a)]. 12134 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(255,a,6372,a(flip),b,12131,a(flip)),flip(a)]. 12135 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(255,a,7623,a(flip),b,12134,a)]. 12136 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(255,a,8055,a(flip),b,12135,a(flip))]. 12138 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(255,a,11143,a(flip),b,12136,a)]. 12139 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(9348,a,12138,a)]. 12141 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). [para(9127(a,1),9133(a,1,1,2,1,1)),flip(a)]. 12142 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(18(a,1),12141(a,2,1,2,1))]. 12144 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(9127(a,1),12142(a,1,1)),flip(a)]. 12145 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2078(a,1),12144(a,2,2))]. 12146 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(255,a,9869,a,b,12145,a(flip)),flip(a)]. 12148 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(304,a,12146,a)]. 12153 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8100(a,1),11119(a,1,2,1,2))]. 12154 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8439(a,1),12153(a,1,2,1,2))]. 12155 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8143(a,1),12154(a,1,2,1,2))]. 12156 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8278(a,1),12155(a,1,2,1,2))]. 12157 T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(5333(a,1),12156(a,1,2,1))]. 12158 K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [hyper(255,a,5594,a,b,12157,a(flip)),flip(a)]. 12159 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). [para(8459(a,1),12158(a,1,1)),flip(a)]. 12160 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(1601(a,1),12159(a,2,2))]. 12161 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(255,a,8179,a(flip),b,12160,a)]. 12162 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). [para(18(a,1),7121(a,1,1,1)),flip(a)]. 12163 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)). [hyper(255,a,7544,a(flip),b,12162,a)]. 12165 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(255,a,9456,a(flip),b,12163,a)]. 12166 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [hyper(7899,a,12165,a)]. 12167 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(255,a,9485,a(flip),b,12166,a(flip)),flip(a)]. 12168 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(9462,a,12167,a)]. 12169 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(9342,a,12168,a),flip(a)]. 12171 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(255,a,10322,a(flip),b,12169,a(flip)),flip(a)]. 12172 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(6902,a,12171,a),flip(a)]. 12173 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(255,a,9305,a,b,12172,a(flip)),flip(a)]. 12174 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(255,a,11543,a,b,12173,a(flip)),flip(a)]. 12175 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). [para(35(a,2),12174(a,2,2,1))]. 12176 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(255,a,9568,a(flip),b,12175,a(flip))]. 12178 K(x,y) * (((z * x) / z) * L(u,T(K(x,y),(z * x) / z),(z * x) / z)) = ((z * x) / z) * (K(x,y) * u). [para(3336(a,1),7645(a,2,2,1))]. 12179 K(x,y) * (((z * x) / z) * L(u,K(x,y),(z * x) / z)) = ((z * x) / z) * (K(x,y) * u). [para(3336(a,1),12178(a,1,2,2,2))]. 12182 K(x,y) * (((z * x) / z) * u) = ((z * x) / z) * (K(x,y) * u). [para(7667(a,1),12179(a,1,2,2))]. 12183 ((x * y) / x) * (K(y,z) * u) = T(y,z) * (K(x,y) * u). [hyper(5937,a,12182,a),flip(a)]. 12185 K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5600(a,1),9981(a,1,1,1))]. 12186 K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(11282(a,1),12185(a,1,1))]. 12187 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(255,a,6610,a(flip),b,12186,a(flip)),flip(a)]. 12189 K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(255,a,11893,a(flip),b,12187,a(flip)),flip(a)]. 12190 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). [hyper(11878,a,12189,a),flip(a)]. 12191 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). [hyper(255,a,11867,a(flip),b,12190,a)]. 12192 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(255,a,11859,a(flip),b,12191,a)]. 12194 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(255,a,6610,a(flip),b,12192,a(flip)),flip(a)]. 12195 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(12194(a,1),5411(a,1,1))]. 12196 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(11283(a,1),12195(a,1,2))]. 12197 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(83,a,12196,a)]. 12198 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(8153(a,1),12196(a,1,2,1))]. 12199 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5622,a,12197,a)]. 12200 R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). [hyper(2083,a,12197,a)]. 12201 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6358(a,1),12197(a,1,2))]. 12202 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(9562(a,1),12197(a,1,2))]. 12203 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(12197(a,1),10198(a,1,1)),flip(a)]. 12205 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(12197(a,1),11870(a,2,2))]. 12206 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(12197(a,1),11893(a,1,1)),flip(a)]. 12207 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(12197(a,1),12148(a,1,1,2))]. 12208 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). [para(12199(a,1),10520(a,1,1)),flip(a)]. 12209 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [para(12200(a,1),9998(a,2,2))]. 12210 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(5622,a,12203,a)]. 12211 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(11876,a,12206,a)]. 12214 K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. [para(12206(a,1),11876(a,1))]. 12215 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(12197(a,1),12207(a,1,2))]. 12217 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(80,a,128,a(flip),b,12215,a)]. 12218 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(255,a,10018,a(flip),b,12210,a(flip)),flip(a)]. 12219 R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). [para(12211(a,1),12028(a,1,1,1))]. 12220 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(9314(a,1),12198(a,1,2,2))]. 12221 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(11882(a,1),12220(a,1,2))]. 12222 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(9427(a,1),12218(a,1,2))]. 12223 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(5634,a,12222,a)]. 12224 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(255,a,9991,a,b,12223,a)]. 12225 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(255,a,12209,a(flip),b,12208,a)]. 12226 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(336(a,1),12219(a,1,1)),flip(a)]. 12227 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(255,a,9429,a(flip),b,12226,a)]. 12228 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(8100(a,1),12227(a,1,2,1,1))]. 12229 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(9313(a,1),12228(a,1,2,1))]. 12230 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(5263(a,2),12229(a,1,2))]. 12231 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(255,a,9632,a,b,12230,a(flip)),flip(a)]. 12232 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(8141(a,1),12231(a,1,1))]. 12233 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(11841,a,12232,a)]. 12234 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(255,a,12205,a(flip),b,12233,a(flip))]. 12235 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(22,a,5252,a(flip),b,12234,a)]. 12236 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(12214,a,12235,a)]. 12237 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(12236(a,1),12221(a,1,2))]. 12238 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(83,a,12237,a),flip(a)]. 12239 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(255,a,12235,a,b,12238,a)]. 12240 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(8134(a,1),12238(a,1,1))]. 12241 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(8134(a,1),12239(a,1,1))]. 12242 (T(K(x,y) * K(z,x),u) \ 1) \ u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(16(a,1),10425(a,1,1,1,1))]. 12243 (T(K(x,y) * K(z,x),u) \ 1) \ u = T(K(x,y) * K(z,x),u) * u. [hyper(255,a,11972,a,b,12242,a)]. 12244 (T(K(x,y) * K(z,x),u) \ 1) \ u = u * (K(z,x) * K(x,y)). [hyper(255,a,11865,a(flip),b,12243,a)]. 12245 T(K(x,y) * K(y,z),u) \ u = u * (K(z,y) * K(y,x)). [para(11890(a,1),12244(a,1,1))]. 12246 x / (x * (K(y,z) * K(z,u))) = T(K(u,z) * K(z,y),x). [para(12245(a,1),70(a,1,2))]. 12247 (K(x,y) * (K(z,x) * u)) \ u = T(K(y,x) * K(x,z),u). [hyper(255,a,11886,a(flip),b,12246,a(flip)),flip(a)]. 12248 T(K(x,y) * K(y,z),u) \ 1 = T(K(y,x) * K(z,y),u). [para(12247(a,1),10493(a,1,1))]. 12249 K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). [para(5510(a,1),5730(a,1,1))]. 12250 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). [para(5510(a,1),12249(a,1,2,1,1)),flip(a)]. 12251 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). [para(5381(a,1),12250(a,2,2,1))]. 12252 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). [para(6358(a,1),12251(a,2,2))]. 12253 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). [para(5187(a,1),12252(a,1,1,1)),flip(a)]. 12254 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). [para(6358(a,1),12253(a,2,1,2))]. 12255 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). [hyper(255,a,12201,a(flip),b,12254,a(flip))]. 12256 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(5387(a,1),11054(a,1,2)),flip(a)]. 12257 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(21(a,1),3402(a,1,2,1))]. 12258 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(67(a,1),12257(a,1,2))]. 12260 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(219,a,12258,a)]. 12263 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(3741(a,1),12260(a,1,1))]. 12264 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(255,a,7177,a(flip),b,12263,a(flip))]. 12265 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(255,a,5142,a(flip),b,12264,a)]. 12266 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(255,a,10632,a(flip),b,12265,a)]. 12267 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(12265(a,2),7178(a,1,1))]. 12268 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1150(a,1),12266(a,1,2))]. 12269 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(12268(a,1),5241(a,2,1)),flip(a)]. 12270 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(255,a,8154,a,b,12269,a)]. 12271 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. [para(12269(a,2),8183(a,1))]. 12272 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(12267(a,1),11805(a,1,2))]. 12273 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(255,a,6434,a(flip),b,12272,a(flip)),flip(a)]. 12274 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(255,a,10480,a(flip),b,12273,a)]. 12275 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(255,a,11811,a(flip),b,12274,a(flip))]. 12276 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(12274(a,1),73(a,1,1))]. 12277 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(12276(a,1),5062(a,1,2,1))]. 12278 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(255,a,10480,a(flip),b,12277,a)]. 12279 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(12275(a,1),12278(a,1,1))]. 12280 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(255,a,11812,a,b,12279,a(flip)),flip(a)]. 12281 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(6709(a,1),12280(a,1,1))]. 12282 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(255,a,6031,a(flip),b,12281,a(flip))]. 12283 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(255,a,10491,a(flip),b,12282,a(flip)),flip(a)]. 12284 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(12283(a,1),73(a,1,1))]. 12285 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(12284(a,1),2229(a,1,1))]. 12286 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(12285(a,1),6992(a,1,2,1))]. 12287 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T((((y * z) \ y) \ 1) \ x,u)). [hyper(8996,a,12286,a),flip(a)]. 12288 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * ((K(z,x) * y) / z). [para(5214(a,1),5081(a,2,2,1))]. 12289 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * (K(z,x) * (y / z)). [para(7716(a,1),12288(a,2,2))]. 12290 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = T(z,x) * (K(x,z) * (y / z)). [hyper(255,a,12183,a(flip),b,12289,a)]. 12291 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = z * (y / z). [hyper(255,a,5564,a(flip),b,12290,a)]. 12293 ((T(x,y) / z) \ ((y * (((y \ (x * y)) / z) * z)) / y)) * ((y \ (x * y)) / z) = z * (x / z). [para(37(a,2),12291(a,1,1,1,1))]. 12294 ((T(x,y) / z) \ ((y * ((T(x,y) / z) * z)) / y)) * ((y \ (x * y)) / z) = z * (x / z). [para(37(a,2),12293(a,1,1,2,1,2,1,1))]. 12295 ((T(x,y) / z) \ ((y * T(x,y)) / y)) * ((y \ (x * y)) / z) = z * (x / z). [para(21(a,1),12294(a,1,1,2,1,2))]. 12297 ((T(x,y) / z) \ x) * ((y \ (x * y)) / z) = z * (x / z). [para(167(a,1),12295(a,1,1,2))]. 12298 ((T(x,y) / z) \ x) * (T(x,y) / z) = z * (x / z). [para(37(a,2),12297(a,1,2,1))]. 12299 K((T(x,y) / z) \ T(x,u),T(x,y) / z) = T(x,u) \ T(z * (x / z),u). [para(12298(a,1),5046(a,1,2,1)),flip(a)]. 12300 K((T(x,y) / z) \ T(x,u),T(x,y) / z) = K(z,z \ T(x,u)). [hyper(255,a,5659,a(flip),b,12299,a)]. 12301 K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K(z,z \ x). [hyper(255,a,7991,a(flip),b,12300,a)]. 12302 K(K(x,y) * z,z \ T(y,x)) = K(z,z \ y). [hyper(255,a,12046,a(flip),b,12301,a(flip)),flip(a)]. 12304 K(K(x,T(y,z \ T(y,x))) * z,z \ T(y,x)) = K(z,z \ y). [hyper(255,a,8077,a,b,12302,a(flip)),flip(a)]. 12305 K(K(x,T(y,z \ y)) * z,z \ T(y,x)) = K(z,z \ y). [para(8802(a,1),12304(a,1,1,1,2))]. 12306 K(K(x,T(y,z)) * z,z \ T(y,x)) = K(z,z \ y). [para(8542(a,1),12305(a,1,1,1))]. 12308 K(x * K(y,z),x \ T(z,y)) = K(x,x \ z). [para(8235(a,1),12306(a,1,1))]. 12309 T(T(x,y) / z,z * K(y,x)) = T(x,y) / (z * K(z,z \ x)). [para(12308(a,1),7825(a,1,2,2)),flip(a)]. 12310 T(T(x,y) / z,z * K(y,x)) = T(x,y) / T(z,z \ x). [para(5252(a,2),12309(a,2,2))]. 12311 T(x,L(T(y * z,z) / T(y,y \ (y * z)),u,w)) = T(x,L((y * z) / y,u,w)). [para(12310(a,1),11268(a,1,2,1))]. 12312 T(x,L(T(y * z,z) / T(y,z),u,w)) = T(x,L((y * z) / y,u,w)). [para(18(a,1),12311(a,1,2,1,2,2))]. 12313 T(x,L((y * z) / y,u,w)) = T(x,L(z * K(y * z,z),u,w)). [para(5422(a,1),12312(a,1,2,1)),flip(a)]. 12314 T(x,L(T(y,z * y),u,w)) = T(x,L((z * y) / z,u,w)). [hyper(255,a,8864,a(flip),b,12313,a),flip(a)]. 12315 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [hyper(255,a,8863,a(flip),b,12314,a)]. 12316 (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(12315(a,1),11673(a,1,2))]. 12317 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). [para(4536(a,1),12316(a,1,2)),flip(a)]. 12318 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). [para(43(a,1),12317(a,2,2))]. 12319 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x). [hyper(255,a,7790,a(flip),b,12318,a)]. 12320 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x). [para(11637(a,1),12319(a,2,1))]. 12321 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x). [hyper(255,a,7434,a(flip),b,12320,a)]. 12322 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(7537(a,1),12321(a,1,2,3))]. 12323 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(4474(a,1),12322(a,1,2,3))]. 12324 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [hyper(255,a,11738,a,b,12323,a(flip)),flip(a)]. 12325 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(11600(a,1),12324(a,1,1))]. 12326 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(3140(a,1),12325(a,1,2)),flip(a)]. 12327 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(255,a,5600,a(flip),b,12326,a)]. 12328 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(11637(a,1),12327(a,2,1))]. 12329 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(255,a,5263,a,b,12328,a)]. 12330 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(255,a,12004,a,b,12329,a(flip)),flip(a)]. 12331 x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(6849(a,1),10300(a,1,2,1))]. 12332 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(4245(a,1),12331(a,1,2,2)),flip(a)]. 12333 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(8521(a,1),12332(a,2,2))]. 12334 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(18(a,1),12333(a,2,2,1))]. 12335 K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(11991(a,1),12334(a,1,1,2))]. 12336 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8978(a,1),12335(a,1,1))]. 12338 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(11991(a,1),12336(a,1,2,1))]. 12339 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(5804(a,1),12338(a,1,2))]. 12340 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7786(a,1),12339(a,1,2))]. 12341 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(7212(a,1),12340(a,1,2)),flip(a)]. 12342 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(255,a,7814,a,b,12341,a)]. 12344 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(9068(a,1),6546(a,1,1)),flip(a)]. 12345 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(255,a,7714,a,b,12344,a)]. 12347 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(5272(a,1),12345(a,2,1))]. 12348 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(9068(a,1),6547(a,1,1)),flip(a)]. 12349 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(255,a,7714,a,b,12348,a)]. 12351 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(5272(a,1),12349(a,2,1))]. 12352 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). [hyper(255,a,10086,a(flip),b,12351,a)]. 12353 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4565(a,2),12352(a,1,2))]. 12354 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(9064(a,1),12353(a,1,2,1))]. 12355 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4563(a,2),12354(a,1,2,1))]. 12357 K((x * (K(y,x) / T(x,z))) \ 1,((x \ K(x,y)) * T(x,z)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). [para(8888(a,1),11769(a,1,1,1))]. 12358 (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(6125(a,1),11770(a,1,1,1))]. 12359 ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11767(a,1),12358(a,1,1))]. 12360 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11767(a,1),12359(a,1,2,1))]. 12361 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(6125(a,1),12360(a,1,2,2,2))]. 12362 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). [para(10698(a,1),10699(a,2,2,1,1))]. 12363 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). [hyper(255,a,1907,a(flip),b,12362,a)]. 12364 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). [para(2114(a,1),12363(a,2,2))]. 12365 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). [para(821(a,1),12364(a,2,2,1))]. 12366 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1158(a,1),12365(a,2,2,1,2))]. 12367 T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1907(a,1),12366(a,1,1))]. 12368 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). [hyper(255,a,9593,a(flip),b,9840,a)]. 12369 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). [hyper(255,a,8138,a(flip),b,12368,a)]. 12370 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2889(a,1),9792(a,1,1,1,2))]. 12371 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(255,a,18,a(flip),b,11284,a)]. 12373 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(11282(a,1),12371(a,1,3))]. 12375 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(12197(a,1),12373(a,1,3))]. 12376 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [para(12375(a,1),112(a,1,2))]. 12377 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(255,a,12225,a(flip),b,12376,a(flip))]. 12378 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5608(a,1),12377(a,1,2))]. 12379 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(8236(a,1),12378(a,1,1,1)),flip(a)]. 12380 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(173,a,12379,a),flip(a)]. 12382 K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(4882(a,1),12370(a,1,1,1))]. 12383 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). [para(126(a,1),12382(a,1,1,1)),flip(a)]. 12385 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). [para(2889(a,1),12383(a,2,1,3,2))]. 12386 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). [para(18(a,1),12385(a,2,1,3))]. 12388 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4857(a,1),12386(a,2,1))]. 12389 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(70(a,1),12388(a,1,1,1,1,2))]. 12390 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(2889(a,1),12389(a,1,1,2))]. 12391 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(255,a,6038,a(flip),b,12390,a(flip)),flip(a)]. 12393 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). [para(37(a,2),12391(a,1,1,1,1)),flip(a)]. 12394 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(10487(a,1),12393(a,2,1,1))]. 12395 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(255,a,7622,a(flip),b,12394,a)]. 12396 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(37(a,2),12395(a,1,1,3))]. 12397 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7542(a,1),12396(a,2,1))]. 12398 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(255,a,7206,a(flip),b,12397,a(flip)),flip(a)]. 12399 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [para(12398(a,1),6918(a,2,2))]. 12401 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [hyper(255,a,112,a(flip),b,12399,a)]. 12402 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [para(7559(a,1),12401(a,2,2))]. 12403 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [hyper(6893,a,12402,a)]. 12404 K(x * y,z) * x = x * K(y * x,z). [hyper(11395,a,12403,a),flip(a)]. 12405 K(x * y,T(z,y)) = K(y * x,z). [hyper(8290,a,12404,a),flip(a)]. 12406 K(x * y,T(z,x)) = K(y * x,z). [hyper(7651,a,12404,a)]. 12410 K(x * (y / x),z) = K(y,T(z,x)). [para(21(a,1),12405(a,1,1)),flip(a)]. 12412 K(T(x,y),z * y) = 1 / K(y * z,x). [para(12405(a,1),5394(a,1,2)),flip(a)]. 12414 K((x \ y) * x,z) = K(y,T(z,x)). [para(19(a,1),12406(a,1,1)),flip(a)]. 12416 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(12406(a,1),12062(a,1,1))]. 12417 K(T(x,y) * y,z) = K(x * y,T(z,x)). [para(4127(a,2),12410(a,1,1))]. 12419 K((x \ y) * x,T(y,z)) = 1. [hyper(255,a,403,a(flip),b,12414,a)]. 12420 T(x,(y \ z) * y) = x / K(z,T(x,y)). [para(12414(a,1),5197(a,2,2))]. 12421 K(T(x,y),z * y) = K(x,y * z). [hyper(255,a,5394,a(flip),b,12412,a)]. 12422 K(x,T(y * z,z)) = K(x,z * y). [hyper(7899,a,12421,a)]. 12423 K(x,T(y * z,y)) = K(x,z * y). [hyper(8571,a,12422,a)]. 12424 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [hyper(8551,a,12422,a)]. 12427 K(x,(y \ z) * y) = K(x,T(z,y)). [para(19(a,1),12423(a,1,2,1)),flip(a)]. 12429 T(x * y,T(z,x)) \ 1 = (x * y) \ K(z,y * x). [para(12423(a,1),7581(a,2,2))]. 12430 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(12423(a,1),11113(a,1,2)),flip(a)]. 12431 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(5025(a,1),12427(a,1,2)),flip(a)]. 12432 K(T(x \ y,x) * x,y) = 1. [hyper(255,a,12419,a(flip),b,12417,a)]. 12433 x * K(T(y \ z,y) * y,z) = x. [para(12432(a,2),17(a,1,2))]. 12434 T(x,(y \ z) * y) = T(x,T(z,y)). [hyper(255,a,7594,a(flip),b,12420,a)]. 12435 T(x,T(y * z,y)) = T(x,z * y). [para(18(a,1),12434(a,1,2,1)),flip(a)]. 12444 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(255,a,10161,a(flip),b,12424,a(flip))]. 12446 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(8504,a,12430,a)]. 12449 K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. [para(12431(a,1),5403(a,1))]. 12453 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(255,a,8503,a(flip),b,12446,a(flip))]. 12459 T(K(x,y) * K(z,x),T(u,K(x,y))) \ 1 = K(x,T(z,u)) * K(y,T(x,u)). [hyper(255,a,12038,a(flip),b,12429,a)]. 12466 K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). [para(11980(a,1),12416(a,1,1,1))]. 12469 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(255,a,8436,a(flip),b,12453,a(flip))]. 12470 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(8504,a,12469,a)]. 12471 K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). [para(5845(a,2),12470(a,2,2))]. 12472 T(K(x,y) * K(y,z),u) \ 1 = K(y,T(x,u)) * K(z,T(y,u)). [para(10301(a,1),12459(a,1,1))]. 12473 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(255,a,12248,a(flip),b,12472,a(flip))]. 12474 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(12473(a,1),10284(a,1,1)),flip(a)]. 12475 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [hyper(255,a,11206,a(flip),b,12474,a(flip))]. 12481 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(10746(a,1),12475(a,1,1)),flip(a)]. 12483 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(12481(a,1),12120(a,2,1))]. 12484 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(12111(a,1),12483(a,2,1,1))]. 12486 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(7464(a,1),12484(a,1,1,1))]. 12488 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(10189(a,1),12486(a,1,1))]. 12489 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(9374(a,1),12488(a,1,1)),flip(a)]. 12490 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(80,a,12489,a(flip),b,637,a)]. 12491 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(255,a,11303,a(flip),b,12490,a(flip))]. 12492 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(10020(a,1),12491(a,2,2))]. 12493 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(255,a,10022,a(flip),b,12492,a)]. 12496 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(38,a,12493,a)]. 12497 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(12496(a,1),11372(a,1,2))]. 12498 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(10047(a,1),12497(a,1,1,2,1))]. 12499 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(467,a,12498,a),flip(a)]. 12501 R(a(x,y,x),z,u) = a(x,y,x). [hyper(22,a,10017,a(flip),b,12499,a)]. 12503 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(255,a,458,a,b,12501,a(flip)),flip(a)]. 12504 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(255,a,12109,a(flip),b,12501,a(flip)),flip(a)]. 12505 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(255,a,10302,a(flip),b,12501,a(flip))]. 12506 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(12501(a,1),122(a,1,1)),flip(a)]. 12508 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (a(u,z,u) * (K(z,u) * y)) \ (K(u * z,u) * (y * x)). [para(12501(a,1),9186(a,1,1,1)),flip(a)]. 12509 L(x,y,a(z,u,z)) = x. [para(12501(a,1),12496(a,1,3))]. 12510 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(12509(a,1),483(a,1,2))]. 12511 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(12509(a,1),425(a,1,2,1)),flip(a)]. 12514 a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). [hyper(255,a,11585,a,b,12504,a)]. 12515 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(12504(a,1),12116(a,1,2)),flip(a)]. 12516 a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). [hyper(11949,a,12514,a),flip(a)]. 12518 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5984(a,1),12505(a,1,2)),flip(a)]. 12519 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(12506(a,1),29(a,2,1)),flip(a)]. 12520 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(10017(a,1),12506(a,1,1))]. 12522 a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). [para(37(a,1),12516(a,1,2))]. 12524 (x * a(y,x,y)) * z = x * (a(y,x,y) * z). [hyper(255,a,11727,a(flip),b,12520,a)]. 12525 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(255,a,9182,a(flip),b,12515,a)]. 12527 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(10351,a,12525,a),flip(a)]. 12528 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(255,a,11059,a,b,12522,a(flip)),flip(a)]. 12529 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(255,a,11327,a(flip),b,12527,a(flip)),flip(a)]. 12530 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(255,a,12139,a(flip),b,12529,a(flip)),flip(a)]. 12534 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(255,a,12176,a(flip),b,12530,a(flip)),flip(a)]. 12536 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(255,a,11918,a(flip),b,12534,a(flip))]. 12537 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(10036(a,1),12503(a,1,1,1))]. 12539 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(255,a,11519,a(flip),b,12518,a(flip)),flip(a)]. 12540 a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). [hyper(255,a,11473,a(flip),b,12528,a(flip))]. 12541 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(255,a,12256,a,b,12540,a),flip(a)]. 12543 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(255,a,11970,a(flip),b,12536,a(flip)),flip(a)]. 12544 R(K(x,y),z,u) = K(R(x,z,u),y). [para(5911(a,1),12543(a,1,1))]. 12545 R(K(x,y),K(x,z),u) = K(x,y). [para(4610(a,1),12544(a,2,1))]. 12550 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(12544(a,1),9993(a,1,1,1,2))]. 12552 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [para(12545(a,1),122(a,1,1)),flip(a)]. 12553 L(x,K(y,z),K(y,u)) = x. [hyper(422,a,12552,a)]. 12554 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(255,a,6306,a(flip),b,12553,a(flip)),flip(a)]. 12555 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(255,a,6144,a(flip),b,12553,a(flip)),flip(a)]. 12557 (K(x,y) * K(x,z)) \ 1 = K(z,x) * K(y,x). [hyper(255,a,6108,a,b,12555,a)]. 12558 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. [para(12555(a,1),7325(a,2,1))]. 12559 K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. [hyper(255,a,6555,a(flip),b,12554,a(flip))]. 12560 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(11906,a,12550,a)]. 12561 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [para(60(a,1),12560(a,1,2))]. 12562 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(92,a,12561,a),flip(a)]. 12564 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(12561(a,1),91(a,1)),flip(b)]. 12565 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(255,a,12544,a(flip),b,12562,a(flip)),flip(a)]. 12571 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(12562(a,1),12197(a,1,2))]. 12572 T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). [para(12562(a,1),12224(a,2,1,2))]. 12573 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(7317,a,12565,a),flip(a)]. 12576 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(12544(a,1),12564(a,1))]. 12577 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(255,a,12202,a(flip),b,12571,a(flip)),flip(a)]. 12578 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(12577(a,2),12239(a,2,1)),flip(a)]. 12579 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(255,a,12241,a,b,12578,a(flip)),flip(a)]. 12581 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(12576,a,12573,a)]. 12582 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(5252(a,2),12572(a,2,1))]. 12583 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(3531(a,1),12559(a,1,2)),flip(a)]. 12584 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(255,a,5683,a(flip),b,12583,a)]. 12585 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(8605(a,1),12584(a,2,2))]. 12586 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))). [para(12585(a,1),12357(a,1,2)),flip(a)]. 12587 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(122(a,1),12537(a,1,1))]. 12588 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12524(a,1),12587(a,1,1,1))]. 12589 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(19(a,1),12588(a,1,2,1))]. 12590 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(11728(a,1),12589(a,1,1,1)),flip(a)]. 12591 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(255,a,35,a,b,12590,a)]. 12592 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(18(a,1),12591(a,1,2,2)),flip(a)]. 12593 a(x,R(y,z,u),x) = a(x,y,x). [hyper(255,a,12501,a(flip),b,12592,a(flip))]. 12595 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(12593(a,1),9169(a,1,1))]. 12596 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(12593(a,1),9189(a,1,1)),flip(a)]. 12597 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(255,a,9189,a(flip),b,12596,a)]. 12598 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(12597(a,1),12355(a,1,2))]. 12599 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [hyper(10069,a,12595,a)]. 12600 (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). [para(12599(a,2),4449(a,1,1))]. 12601 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(718(a,1),12598(a,1,2)),flip(a)]. 12603 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(12601(a,1),5182(a,2,2)),flip(a)]. 12604 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(255,a,12342,a(flip),b,12603,a(flip)),flip(a)]. 12605 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(12202(a,1),12604(a,1,1))]. 12606 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(255,a,12380,a,b,12605,a(flip))]. 12607 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(584(a,1),12606(a,2,1,2))]. 12608 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(255,a,5911,a,b,12607,a(flip)),flip(a)]. 12609 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(21(a,1),12607(a,1,1))]. 12610 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(255,a,9020,a(flip),b,12609,a(flip)),flip(a)]. 12611 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(255,a,12444,a(flip),b,12610,a(flip)),flip(a)]. 12612 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(5376(a,1),12611(a,2,1))]. 12613 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). [hyper(255,a,10565,a(flip),b,12600,a(flip)),flip(a)]. 12614 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(12607(a,1),12608(a,1,1))]. 12616 a(L(x,y,z),T(u,L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [para(37(a,2),12541(a,1,2))]. 12617 a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(9754,a,12616,a)]. 12618 a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). [hyper(255,a,12504,a(flip),b,12617,a)]. 12619 L(a(x,y,x),z,u) = a(x,y,x). [hyper(255,a,11683,a(flip),b,12618,a(flip)),flip(a)]. 12622 a(x,y * K(z,y),x) = a(x,y,x). [hyper(255,a,12505,a,b,12619,a(flip)),flip(a)]. 12624 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(12619(a,1),112(a,1,2))]. 12627 a(x,T(y,z),x) = a(x,y,x). [para(5266(a,1),12622(a,1,2)),flip(a)]. 12628 a(x,y / z,x) = a(x,z \ y,x). [para(5268(a,1),12622(a,1,2))]. 12631 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(187(a,1),12627(a,1,2)),flip(a)]. 12632 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(476(a,1),12627(a,1,2)),flip(a)]. 12635 a(x,y / (z * y),x) = a(x,z \ 1,x). [hyper(255,a,11204,a(flip),b,12628,a)]. 12636 a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). [para(11216(a,1),12635(a,1,2,2)),flip(a)]. 12637 R(x,y,a(z,u,z)) = x. [hyper(10811,a,12624,a)]. 12662 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(255,a,12631,a(flip),b,12632,a(flip)),flip(a)]. 12663 a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). [hyper(255,a,12593,a(flip),b,12662,a(flip))]. 12665 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(12663(a,1),10044(a,1,2,1)),flip(a)]. 12686 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [hyper(255,a,10044,a(flip),b,12665,a)]. 12719 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(12506(a,1),12511(a,2,1))]. 12720 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(255,a,12510,a(flip),b,12719,a)]. 12721 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(35(a,2),12720(a,2,2))]. 12722 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(12509(a,1),12721(a,1,2))]. 12723 T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(12722(a,2),12367(a,1,1,2))]. 12724 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(12506(a,1),12519(a,1,2,1))]. 12725 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(5436(a,1),12539(a,2,2))]. 12726 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(9179,a,12725,a)]. 12727 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(12619(a,1),12726(a,1,1))]. 12728 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(255,a,12628,a(flip),b,12727,a)]. 12730 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(33(a,2),12728(a,2,2))]. 12731 a(x,L(y,z,u),x) = a(x,y,x). [hyper(255,a,12619,a(flip),b,12730,a(flip))]. 12733 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(241(a,1),12731(a,1,2))]. 12734 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [para(1977(a,2),12731(a,1,2)),flip(a)]. 12735 R(x,L(y,z,u),x) = x * a(x,y,x). [para(12731(a,1),9159(a,1,2)),flip(a)]. 12736 R(x,L(y,z,u),x) = R(x,y,x). [hyper(255,a,9159,a(flip),b,12735,a)]. 12737 L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(12736(a,1),12347(a,1,2,1))]. 12738 L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. [para(12734(a,1),9366(a,1,1)),flip(a)]. 12739 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [hyper(255,a,9366,a(flip),b,12738,a)]. 12740 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(12506(a,1),12724(a,1,2))]. 12741 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(754,a,12740,a)]. 12742 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(255,a,12509,a(flip),b,12741,a(flip))]. 12744 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(19(a,1),12742(a,1,1)),flip(a)]. 12745 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(9185(a,1),12742(a,1,1))]. 12746 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(9150(a,1),12742(a,1,1))]. 12747 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(9149(a,1),12744(a,1,1))]. 12748 a(K(x \ 1,y),z,u) = a(K(x \ y,y),z,u). [para(9173(a,1),12744(a,1,1))]. 12749 a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u). [para(19(a,1),12745(a,1,1,1))]. 12750 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(255,a,12612,a,b,12747,a(flip)),flip(a)]. 12751 a(K(x,y \ x),z,u) = a(K(y,x),z,u). [hyper(255,a,12746,a(flip),b,12749,a)]. 12752 a(K(x \ y,y),z,u) = a(K(y,x),z,u). [para(5584(a,1),12751(a,1,1)),flip(a)]. 12753 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [hyper(255,a,12748,a,b,12752,a(flip)),flip(a)]. 12754 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(3312(a,1),12753(a,1,1)),flip(a)]. 12755 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(11344(a,2),12753(a,2,1)),flip(a)]. 12756 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(255,a,12201,a,b,12754,a(flip)),flip(a)]. 12757 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(12565(a,1),12754(a,2,1))]. 12758 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(255,a,6782,a(flip),b,12750,a(flip)),flip(a)]. 12759 ((x * (y \ R(y,z,u))) / ((x * (y \ R(y,z,u))) / x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [hyper(255,a,6333,a(flip),b,12750,a(flip)),flip(a)]. 12760 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(255,a,12255,a,b,12757,a(flip)),flip(a)]. 12761 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(255,a,12754,a(flip),b,12757,a(flip)),flip(a)]. 12762 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6387(a,1),12755(a,2,1))]. 12763 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(255,a,12753,a(flip),b,12762,a)]. 12764 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(11344(a,1),12763(a,1,1))]. 12765 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(255,a,12761,a(flip),b,12764,a)]. 12766 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(12756(a,1),12760(a,1,1)),flip(a)]. 12767 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(255,a,12614,a(flip),b,12766,a)]. 12768 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(255,a,12765,a(flip),b,12767,a(flip)),flip(a)]. 12769 L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(12736(a,1),12737(a,1,2,2,1))]. 12771 L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4563(a,2),12769(a,1,2))]. 12773 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4621(a,1),12771(a,1,2,2))]. 12774 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(12435(a,1),12773(a,1,2))]. 12775 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(716(a,1),12774(a,1,2)),flip(a)]. 12776 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(255,a,10085,a(flip),b,12775,a(flip)),flip(a)]. 12777 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(80,a,12776,a(flip),b,5252,a(flip))]. 12778 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(9146,a,12777,a),flip(a)]. 12779 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(255,a,11633,a(flip),b,12778,a)]. 12780 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(21(a,1),12779(a,1,1))]. 12781 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(255,a,7101,a(flip),b,12780,a(flip)),flip(a)]. 12782 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(11579(a,1),12781(a,2,3))]. 12783 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(255,a,11707,a(flip),b,12782,a)]. 12785 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(255,a,11002,a(flip),b,12783,a(flip)),flip(a)]. 12786 ((x * (L(y,z,u) \ y)) / ((x * (L(y,z,u) \ y)) / x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [hyper(255,a,6333,a(flip),b,12785,a(flip)),flip(a)]. 12787 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(21(a,1),12785(a,1,2))]. 12788 K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w). [para(12785(a,1),5605(a,1,2,1)),flip(a)]. 12789 K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). [hyper(255,a,10206,a(flip),b,12788,a)]. 12790 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [para(12789(a,1),11709(a,1,3)),flip(a)]. 12791 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [hyper(255,a,11723,a(flip),b,12790,a(flip)),flip(a)]. 12792 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(12790(a,1),9958(a,1,2))]. 12793 a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). [para(12791(a,1),11912(a,1,1))]. 12794 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(6939,a,12787,a)]. 12795 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(255,a,11019,a(flip),b,12794,a(flip)),flip(a)]. 12796 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(11582(a,1),12795(a,2,3))]. 12797 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(73(a,1),12796(a,2,3,1))]. 12800 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(12797(a,1),5605(a,1,2,1)),flip(a)]. 12801 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(255,a,10206,a(flip),b,12800,a)]. 12802 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(12801(a,1),5252(a,2,2))]. 12803 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(9970(a,1),12792(a,1,2)),flip(a)]. 12804 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(255,a,17,a(flip),b,12803,a)]. 12806 K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). [para(12804(a,1),5605(a,1,2,1)),flip(a)]. 12807 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(255,a,5605,a(flip),b,12806,a)]. 12808 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(12807(a,1),5252(a,2,2))]. 12809 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(255,a,5252,a,b,12808,a)]. 12810 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(9971(a,1),12793(a,1,1))]. 12811 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(83,a,12810,a)]. 12813 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(255,a,7105,a(flip),b,12811,a(flip)),flip(a)]. 12815 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(12813(a,1),5252(a,2,2)),flip(a)]. 12818 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(5255,a,12815,a),flip(a)]. 12819 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(12818(a,2),542(a,1,1))]. 12821 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(255,a,12802,a(flip),b,12819,a)]. 12825 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(19(a,1),12723(a,1,1,2,1)),flip(a)]. 12826 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(12825(a,1),12758(a,1,1))]. 12827 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(18(a,1),12826(a,1,2))]. 12828 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(5281,a,12827,a),flip(a)]. 12830 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(12828(a,1),12240(a,2,2))]. 12831 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(255,a,12579,a(flip),b,12830,a(flip))]. 12832 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(255,a,9527,a,b,12831,a(flip)),flip(a)]. 12833 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(8138(a,2),12832(a,2,1))]. 12834 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(9717,a,12833,a)]. 12835 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(255,a,10140,a(flip),b,12834,a(flip)),flip(a)]. 12836 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(8154(a,1),12835(a,2,1))]. 12838 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(9316(a,1),12836(a,2,1))]. 12839 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(10160,a,12838,a)]. 12842 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(255,a,10791,a(flip),b,12839,a(flip)),flip(a)]. 12844 a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). [hyper(11032,a,12636,a)]. 12845 a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). [hyper(255,a,12733,a(flip),b,12844,a(flip)),flip(a)]. 12846 a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). [para(33(a,2),12845(a,1,2,2))]. 12847 a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(5123(a,1),12846(a,1,2))]. 12848 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(255,a,11239,a(flip),b,12847,a(flip)),flip(a)]. 12849 a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). [hyper(255,a,12628,a(flip),b,12848,a),flip(a)]. 12851 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(152(a,1),12849(a,1,2,2))]. 12852 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(12851(a,1),10327(a,1,1,2))]. 12873 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(33(a,2),12471(a,1,2,2,2)),flip(a)]. 12874 (x * K(L(y,z,u) \ y,x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [para(5165(a,1),12786(a,1,1))]. 12875 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [para(18(a,1),12874(a,1,2,2))]. 12877 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(12739(a,1),12875(a,1,2))]. 12878 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(255,a,5849,a(flip),b,12877,a(flip)),flip(a)]. 12879 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(255,a,7709,a(flip),b,12878,a(flip)),flip(a)]. 12880 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(12809(a,1),12879(a,1,2,1))]. 12881 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(5491,a,12880,a)]. 12882 (x * K(y \ R(y,z,u),x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [para(5165(a,1),12759(a,1,1))]. 12883 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [para(18(a,1),12882(a,1,2,2))]. 12885 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (L(T(u,z),z,u) \ y)) \ (K(u * z,u) * (y * x)). [para(10188(a,1),12508(a,2,1))]. 12887 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (T(u,u * z) \ y)) \ (K(u * z,u) * (y * x)). [para(542(a,1),12885(a,2,1,2,1))]. 12888 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (K(u * z,u) * y) \ (K(u * z,u) * (y * x)). [para(5225(a,1),12887(a,2,1))]. 12889 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = L(x,y,K(u * z,u)). [hyper(255,a,33,a,b,12888,a)]. 12890 L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). [para(12501(a,1),12889(a,1,3))]. 12891 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [hyper(255,a,12509,a(flip),b,12890,a(flip))]. 12894 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(19(a,1),12891(a,1,3,1)),flip(a)]. 12895 L(x,y / z,K(y,z)) = x. [hyper(255,a,7635,a(flip),b,12894,a(flip))]. 12896 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(12895(a,1),5702(a,1,2)),flip(a)]. 12897 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5622,a,12896,a)]. 12898 R(K(x,y),x \ y,z) = K(x,y). [hyper(9574,a,12897,a)]. 12899 R(K(x,x * y),y,z) = K(x,x * y). [para(18(a,1),12898(a,1,2))]. 12901 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(255,a,11966,a,b,12899,a(flip)),flip(a)]. 12902 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(12899(a,1),10515(a,2,2))]. 12904 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(12901(a,1),11971(a,1,1))]. 12905 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(255,a,5252,a,b,12902,a)]. 12907 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(255,a,4903,a(flip),b,12905,a(flip)),flip(a)]. 12908 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(21(a,1),12907(a,1,2,1,2))]. 12909 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(255,a,8918,a,b,12908,a(flip)),flip(a)]. 12910 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(255,a,5252,a(flip),b,12909,a),flip(a)]. 12911 K(x,(x * y) / z) = K(x,x * (y / z)). [hyper(22,a,8718,a,b,12910,a),flip(a)]. 12912 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(22,a,5252,a(flip),b,12910,a),flip(a)]. 12913 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(6392,a,12911,a)]. 12914 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(12912(a,1),8289(a,1,1,2))]. 12915 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(12913(a,1),7208(a,1,1))]. 12916 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(255,a,8289,a(flip),b,12914,a(flip))]. 12917 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(255,a,8962,a(flip),b,12916,a(flip)),flip(a)]. 12918 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(9930,a,12917,a)]. 12919 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(255,a,7208,a(flip),b,12915,a(flip))]. 12920 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(255,a,12913,a(flip),b,12904,a)]. 12922 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(35(a,2),12920(a,2,2,2))]. 12923 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(12564,a,12922,a)]. 12924 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). [hyper(255,a,7337,a(flip),b,12586,a)]. 12925 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). [para(9253(a,1),12924(a,2,1,2))]. 12926 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). [para(7842(a,1),12925(a,2,1))]. 12927 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). [para(3315(a,1),12926(a,2,1,1))]. 12928 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). [para(6667(a,1),12927(a,2,2))]. 12929 K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(5998(a,1),12466(a,1,1))]. 12930 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(19(a,1),12929(a,1,2,2,1,2))]. 12932 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(9267(a,1),12930(a,1,2))]. 12933 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(12918(a,1),12932(a,1,2))]. 12934 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(7801(a,1),12933(a,1,2)),flip(a)]. 12935 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(255,a,5540,a(flip),b,12934,a)]. 12936 L(x,y / z,x) = L(x,z \ y,x). [hyper(255,a,11187,a(flip),b,12935,a(flip))]. 12938 L(x,(y \ z) \ z,x) = L(x,y,x). [para(70(a,1),12936(a,1,2)),flip(a)]. 12939 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(4038(a,2),12936(a,1,2))]. 12940 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(5427(a,2),12936(a,1,2))]. 12941 L(x,y * K(z,y),x) = L(x,y,x). [para(6145(a,1),12938(a,1,2)),flip(a)]. 12943 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5986(a,1),12941(a,1,2))]. 12944 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(255,a,12943,a(flip),b,12940,a(flip))]. 12946 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(255,a,12686,a(flip),b,12944,a(flip))]. 12948 L(x,R(y,z,u),x) = L(x,y,x). [para(18(a,1),12946(a,2,2))]. 12949 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(29(a,2),12939(a,2,2))]. 12950 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(255,a,12948,a(flip),b,12949,a(flip)),flip(a)]. 12952 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(12950(a,1),12883(a,1,2))]. 12953 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(255,a,5849,a(flip),b,12952,a(flip)),flip(a)]. 12954 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(12828(a,2),12953(a,1,1))]. 12955 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(255,a,10056,a(flip),b,12954,a(flip)),flip(a)]. 12977 (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(6125(a,1),9582(a,1,1,1))]. 12978 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(1990(a,1),12852(a,2,1))]. 12979 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [hyper(255,a,12637,a(flip),b,12978,a)]. 12981 ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [para(10066(a,1),12979(a,1,1))]. 12982 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(255,a,10567,a(flip),b,12981,a(flip)),flip(a)]. 12983 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(255,a,12821,a(flip),b,12982,a(flip))]. 12984 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(12983(a,2),12003(a,1,1))]. 12985 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(12983(a,2),12330(a,1,1))]. 12986 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(5829,a,12984,a)]. 12987 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (1 / u))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(4912(a,1),12986(a,1,1))]. 12988 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(5829,a,12985,a)]. 12989 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(11214(a,1),12987(a,1,2,1))]. 12990 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(255,a,12986,a(flip),b,12989,a(flip))]. 12994 (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5127(a,1),10227(a,1,2,1,2,2,2))]. 12995 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4896(a,1),12994(a,1,2,1,2,2))]. 12996 (x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8134(a,1),12995(a,1,2,1))]. 12997 (x \ 1) * (K(y,K(x \ 1,T(z,L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8839(a,1),12996(a,1,2,1,2))]. 12998 (x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7780(a,1),12997(a,1,2,1,2))]. 13000 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8456(a,1),12998(a,1,2,1))]. 13001 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5127(a,1),13000(a,1,2,2,1,2,1,2,2))]. 13002 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4896(a,1),13001(a,1,2,2,1,2,1,2))]. 13003 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8100(a,1),13002(a,1,2,2,1,2))]. 13004 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10233(a,1),13003(a,1,2,2,1,2,2))]. 13005 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7576(a,1),13004(a,1,2,2,1,2,2))]. 13007 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8444(a,1),13005(a,1,2,2,1,2))]. 13008 (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5333(a,1),13007(a,1,2,2,1))]. 13009 (x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(9708(a,2),13008(a,1,2))]. 13010 K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(255,a,9704,a(flip),b,13009,a(flip)),flip(a)]. 13011 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(1601(a,1),13010(a,1,2)),flip(a)]. 13012 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(255,a,8179,a(flip),b,13011,a)]. 13013 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1150(a,1),13012(a,1,1)),flip(a)]. 13014 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(255,a,12161,a,b,13013,a(flip)),flip(a)]. 13015 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1150(a,1),13014(a,1,1))]. 13016 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). [para(13015(a,1),12270(a,1,2))]. 13017 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(12271,a,13016,a),flip(a)]. 13018 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(255,a,8138,a,b,13017,a)]. 13019 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(255,a,11535,a(flip),b,13018,a(flip)),flip(a)]. 13020 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(255,a,8134,a,b,13019,a)]. 13021 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(11536,a,13020,a)]. 13022 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(255,a,12873,a,b,13021,a(flip)),flip(a)]. 13023 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,12010,a(flip),b,13022,a)]. 13024 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(8347,a,13023,a)]. 13025 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(13023(a,1),8347(a,1))]. 13026 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,8130,a,b,13024,a(flip)),flip(a)]. 13027 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). [hyper(255,a,12369,a,b,13026,a(flip)),flip(a)]. 13028 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(9497,a,13027,a)]. 13029 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,12842,a(flip),b,13028,a(flip)),flip(a)]. 13030 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(9468(a,1),13029(a,1,1)),flip(a)]. 13031 K(x,K(y * z,a(y,z,u))) = 1. [hyper(255,a,11109,a(flip),b,13030,a)]. 13032 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(13025,a,13031,a)]. 13035 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. [para(13032(a,1),9927(a,1,2)),flip(a)]. 13036 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(255,a,17,a(flip),b,13035,a)]. 13038 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(255,a,9565,a,b,13036,a(flip)),flip(a)]. 13039 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(12828(a,2),13038(a,1,1))]. 13040 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(255,a,12766,a,b,13039,a(flip)),flip(a)]. 13041 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(255,a,12768,a(flip),b,13040,a(flip)),flip(a)]. 13043 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(13041(a,1),12955(a,1,2))]. 13044 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(K(x,y),z * y,u). [hyper(255,a,10062,a(flip),b,13043,a(flip)),flip(a)]. 13045 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(5491,a,13044,a)]. 13047 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(255,a,12577,a(flip),b,13045,a)]. 13049 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(255,a,12881,a(flip),b,13047,a(flip))]. 13051 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(13049(a,1),12217(a,1,1,2))]. 13069 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(255,a,9965,a(flip),b,13051,a(flip))]. 13070 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(255,a,13049,a(flip),b,13069,a(flip))]. 13071 a(x,x \ 1,K(y,z)) = 1. [hyper(255,a,10530,a(flip),b,13069,a(flip))]. 13075 a(x \ 1,x,K(y,z)) = 1. [hyper(255,a,11238,a(flip),b,13071,a(flip)),flip(a)]. 13076 L(K(x,y),z,z \ 1) = K(x,y). [hyper(38,a,13075,a)]. 13077 K(x,L(y,z,z \ 1)) = K(x,y). [hyper(11622,a,13076,a)]. 13078 (1 / x) * (x * K(y,z)) = K(y,z). [hyper(3048,a,13076,a)]. 13082 L(K(x,y),1 / z,z) = K(x,y). [para(73(a,1),13076(a,1,3))]. 13090 K(x,(y \ 1) \ z) = K(x,y * z). [para(3064(a,1),13077(a,1,2)),flip(a)]. 13095 (x \ 1) * K(y,z) = x \ K(y,z). [para(13082(a,1),3208(a,1,2)),flip(a)]. 13103 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [para(13070(a,1),12983(a,2,2))]. 13107 (1 / x) \ K(y,z) != x * u | K(y,z) = u. [para(13078(a,1),86(a,1,2)),flip(b)]. 13119 (1 / x) \ K(y,z * u) = x * K(y,(z \ 1) \ u). [hyper(80,a,13090,a(flip),b,13078,a)]. 13135 (x \ K(y,z)) * K(z,y) = x \ 1. [hyper(6674,a,13095,a)]. 13163 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [para(6670(a,1),13135(a,1,1)),flip(a)]. 13208 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). [hyper(255,a,12558,a,b,13163,a(flip)),flip(a)]. 13215 x * K(y,(z \ 1) \ (z \ u)) = (1 / x) \ K(y,u). [para(19(a,1),13119(a,1,2,2)),flip(a)]. 13220 (1 / x) \ K(y,T(z * u,w)) = x * K(y,T((z \ 1) \ u,w)). [para(923(a,1),13215(a,1,2,2)),flip(a)]. 13235 K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. [hyper(41,a,13208,a)]. 13236 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [hyper(255,a,12928,a,b,13235,a(flip)),flip(a)]. 13237 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. [para(12557(a,2),13235(a,1,2))]. 13238 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1 \ 1. [para(13237(a,1),1535(a,1,1)),flip(a)]. 13239 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. [hyper(255,a,60,a(flip),b,13238,a)]. 13241 L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). [para(13239(a,1),3308(a,1,1,2))]. 13258 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [hyper(13107,a,13220,a),flip(a)]. 13259 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(255,a,12287,a,b,13258,a(flip)),flip(a)]. 13272 K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(11767(a,1),13236(a,1,1))]. 13273 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(13272(a,1),12361(a,1,2)),flip(a)]. 13276 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(59(a,1),13259(a,1,2)),flip(a)]. 13277 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(255,a,5842,a(flip),b,13276,a)]. 13278 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(255,a,10992,a(flip),b,13277,a)]. 13280 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(255,a,8772,a(flip),b,13278,a)]. 13281 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(19(a,1),13280(a,1,2,1,1,1)),flip(a)]. 13282 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(9445,a,13281,a),flip(a)]. 13283 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(12449,a,13282,a)]. 13284 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(255,a,9896,a(flip),b,13282,a(flip)),flip(a)]. 13285 K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). [hyper(255,a,11741,a(flip),b,13283,a(flip))]. 13286 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(18(a,1),13284(a,1,2,1,1)),flip(a)]. 13287 K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). [hyper(255,a,9297,a,b,13286,a(flip)),flip(a)]. 13288 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(13285(a,1),7208(a,1,1))]. 13293 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). [hyper(255,a,12585,a(flip),b,13273,a)]. 13295 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(6125(a,1),13293(a,1,2,1))]. 13296 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). [para(11767(a,1),13295(a,1,2))]. 13297 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [para(13296(a,1),73(a,1,1))]. 13298 (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(13297(a,1),3567(a,1,1,1))]. 13300 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(255,a,9298,a(flip),b,13287,a(flip))]. 13301 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(7899,a,13300,a)]. 13303 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(255,a,10623,a(flip),b,13301,a(flip))]. 13305 K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). [para(127(a,1),13303(a,1,2,1,1,2))]. 13306 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(255,a,9448,a(flip),b,13305,a(flip))]. 13307 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(9271,a,13306,a)]. 13308 K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). [hyper(255,a,5817,a(flip),b,13307,a)]. 13309 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(73(a,1),13308(a,2,2,1,1))]. 13310 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(255,a,11968,a(flip),b,13309,a),flip(a)]. 13312 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(13310(a,2),7208(a,1,1))]. 13313 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(255,a,7213,a(flip),b,13312,a(flip)),flip(a)]. 13314 K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(255,a,7208,a(flip),b,13288,a(flip))]. 13315 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(255,a,12919,a(flip),b,13314,a(flip))]. 13316 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(70(a,1),13315(a,2,2,2))]. 13317 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(255,a,13313,a,b,13316,a(flip)),flip(a)]. 13319 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(12565(a,1),13317(a,1,1))]. 13320 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(12564,a,13319,a)]. 13321 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(255,a,12565,a(flip),b,13320,a)]. 13322 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(255,a,12581,a(flip),b,13321,a(flip))]. 13324 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(255,a,12923,a(flip),b,13322,a(flip))]. 13325 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(13324(a,2),5263(a,2,1)),flip(a)]. 13326 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(5264,a,13325,a)]. 13327 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [hyper(255,a,12613,a,b,13326,a),flip(a)]. 13328 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(255,a,10558,a(flip),b,13327,a(flip)),flip(a)]. 13329 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(255,a,12582,a,b,13328,a(flip)),flip(a)]. 13331 L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(3506(a,2),13328(a,2,2,1))]. 13332 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(13069(a,1),13329(a,1,2))]. 13371 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). [para(17(a,1),13241(a,1,1)),flip(a)]. 13372 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). [para(12555(a,1),13371(a,2,3))]. 13373 (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(12555(a,1),13372(a,1,1))]. 13374 (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(12552(a,1),13373(a,1,2))]. 13375 K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)). [hyper(255,a,11507,a(flip),b,13374,a(flip)),flip(a)]. 13376 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(5608(a,1),13375(a,1,2)),flip(a)]. 13377 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(255,a,5608,a(flip),b,13376,a)]. 13380 L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(11936(a,1),13331(a,1,1))]. 13420 L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(73(a,1),13380(a,1,1,2,1,2,1))]. 13421 L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [para(10621(a,1),13420(a,1,1))]. 13422 L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [hyper(255,a,10661,a(flip),b,13421,a(flip)),flip(a)]. 13424 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x). [para(73(a,1),13422(a,1,2,2,1)),flip(a)]. 13425 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(255,a,10693,a(flip),b,13424,a)]. 13427 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(255,a,13328,a(flip),b,13425,a)]. 13428 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(19(a,1),13427(a,2,2,1))]. 13429 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(3506(a,1),13428(a,1,2,1))]. 13438 (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(12585(a,1),13298(a,1,1))]. 13439 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(13297(a,1),13438(a,1,2,2))]. 13440 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(8798(a,1),13439(a,1,2))]. 13441 (x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(10662(a,1),13440(a,1,2))]. 13442 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(13377(a,1),13441(a,1,2)),flip(a)]. 13443 ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(13297(a,1),13442(a,1,1,1,1))]. 13444 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12585(a,1),13443(a,1,1,1))]. 13445 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(13297(a,1),13444(a,1,1)),flip(a)]. 13446 L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(13445(a,1),9292(a,1,1))]. 13447 L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(8888(a,1),13446(a,1,2))]. 13448 L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [hyper(255,a,10665,a(flip),b,13447,a(flip)),flip(a)]. 13449 L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(5225(a,1),13448(a,1,2))]. 13450 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(255,a,11515,a(flip),b,13449,a(flip))]. 13452 (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(13450(a,1),12977(a,1,1))]. 13453 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z). [para(5875(a,1),13452(a,1,1,1)),flip(a)]. 13454 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),x * z). [para(5805(a,1),13453(a,2,2))]. 13455 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),x * z). [para(6403(a,1),13454(a,2,2))]. 13456 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(x \ (x * z),T(x * z,y)). [para(8986(a,1),13455(a,2,2))]. 13457 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). [para(18(a,1),13456(a,2,2,1))]. 13458 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)). [hyper(255,a,6618,a(flip),b,13457,a)]. 13460 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(255,a,9279,a(flip),b,13458,a)]. 13461 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(6125(a,1),13460(a,1,1,1))]. 13462 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(13450(a,1),13461(a,1,1))]. 13463 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5875(a,1),13462(a,1,1,1))]. 13464 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(255,a,4897,a(flip),b,13463,a(flip)),flip(a)]. 13465 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(4563(a,1),13464(a,2,1))]. 13466 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(12801(a,1),13465(a,2,2))]. 13467 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(12801(a,1),13466(a,1,1,1))]. 13468 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(255,a,13332,a(flip),b,13467,a)]. 13469 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(10629(a,1),13468(a,1,1))]. 13470 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(13103(a,2),13469(a,1,1))]. 13471 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(5831,a,13470,a)]. 13472 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(255,a,12988,a(flip),b,13471,a(flip))]. 13473 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(255,a,13429,a(flip),b,13472,a(flip))]. 13474 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(9892(a,1),13473(a,1,2,1))]. 13475 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(255,a,12990,a(flip),b,13474,a(flip)),flip(a)]. 13476 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(5184(a,2),13475(a,1,2,1,2))]. 13477 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(12433(a,1),13476(a,1,2,1)),flip(a)]. 13479 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(80,a,13477,a(flip),b,5252,a(flip))]. 13481 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(5325,a,13479,a),flip(a)]. 13482 $F # answer("KRKL"). [resolve(13481,a,52,a)]. ============================== end of proof ========================== % Disable descendants (x means already disabled): 52 given #12031 (H,wt=13): 13481 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(5325,a,13479,a),flip(a)]. given #12032 (H,wt=13): 13483 L(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(255,a,11600,a,b,13481,a),flip(a)]. -------- Proof 4 -------- "RKLK 1". ============================== PROOF ================================= % Proof 4 at 1188.10 (+ 46.34) seconds: "RKLK 1". % Length of proof is 10155. % Level of proof is 459. % Maximum clause weight is 65.000. % Given clauses 12032 (26.214 givens/level). 1 x * y = u & x * z = u -> y = z # label(non_clause). [assumption]. 2 y * x = u & z * x = u -> y = z # label(non_clause). [assumption]. 3 x * y = x * z -> y = z # label(non_clause). [assumption]. 4 y * x = z * x -> y = z # label(non_clause). [assumption]. 5 a(x,y,z) = 1 -> L(z,y,x) = z # label(non_clause). [assumption]. 6 L(x,y,z) = x -> a(z,y,x) = 1 # label(non_clause). [assumption]. 7 T(x,y) = x -> T(y,x) = y # label(non_clause). [assumption]. 8 T(x,y) = x -> K(x,y) = 1 # label(non_clause). [assumption]. 9 K(x,y) = 1 -> T(x,y) = x # label(non_clause). [assumption]. 12 R(K(x,y),z,u) = L(K(x,y),z,u) # label("RKLK 1") # label(non_clause) # label(goal). [goal]. 16 1 * x = x. [assumption]. 17 x * 1 = x. [assumption]. 18 x \ (x * y) = y. [assumption]. 19 x * (x \ y) = y. [assumption]. 20 (x * y) / y = x. [assumption]. 21 (x / y) * y = x. [assumption]. 22 x * y != z | x * u != z | u = y. [clausify(1)]. 23 x * y != z | u * y != z | u = x. [clausify(2)]. 24 x * y != x * z | y = z. [clausify(3)]. 25 x * y != z * y | x = z. [clausify(4)]. 26 x != y | z * x = z * y. [assumption]. 27 x != y | x * z = y * z. [assumption]. 28 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 29 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(28),flip(a)]. 30 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 31 K(x,y) = (y * x) \ (x * y). [copy(30),flip(a)]. 32 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 33 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(32),flip(a)]. 34 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 35 R(x,y,z) = ((x * y) * z) / (y * z). [copy(34),flip(a)]. 36 x \ (y * x) = T(y,x). [assumption]. 37 T(x,y) = y \ (x * y). [copy(36),flip(a)]. 38 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 39 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 40 T(x,y) != x | T(y,x) = y. [clausify(7)]. 41 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 42 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 43 T(T(x,y),z) = T(T(x,z),y) # label("AIM-TT condition"). [assumption]. 44 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 45 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(44),flip(a)]. 46 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 47 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(46),flip(a)]. 48 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 49 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(48),flip(a)]. 50 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 51 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 54 R(K(c9,c10),c11,c12) != L(K(c9,c10),c11,c12) # label("RKLK 1") # answer("RKLK 1"). [deny(12)]. 58 x * (1 * 1) = x. [para(16(a,2),17(a,1,2))]. 59 1 \ x = x. [para(16(a,1),18(a,1,2))]. 60 x \ x = 1. [para(17(a,1),18(a,1,2))]. 61 x \ (x * (y \ (y * z))) = z. [para(18(a,2),18(a,1))]. 62 (x * (x \ 1)) * y = y. [para(19(a,2),16(a,1,1))]. 63 x * (x \ (1 * y)) = y. [para(19(a,2),16(a,1))]. 64 x * (y * (y \ 1)) = x. [para(19(a,2),17(a,1,2))]. 65 x \ (y * (y \ (x * z))) = z. [para(19(a,2),18(a,1,2))]. 66 x * (y * (y \ (x \ z))) = z. [para(19(a,2),19(a,1,2))]. 67 x / x = 1. [para(16(a,1),20(a,1,1))]. 68 x / 1 = x. [para(17(a,1),20(a,1,1))]. 69 x * (((x \ y) * z) / z) = y. [para(20(a,2),19(a,1,2))]. 70 x / (y \ x) = y. [para(19(a,1),20(a,1,1))]. 71 ((1 / x) * x) * y = y. [para(21(a,2),16(a,1,1))]. 72 x * ((1 / y) * y) = x. [para(21(a,2),17(a,1,2))]. 73 (x / y) \ x = y. [para(21(a,1),18(a,1,2))]. 74 x \ (((x * y) / z) * z) = y. [para(21(a,2),18(a,1,2))]. 75 (x \ (x * (y / z))) * z = y. [para(18(a,2),21(a,1,1))]. 76 ((x * (x \ y)) / z) * z = y. [para(21(a,2),19(a,1))]. 77 (((x * y) / z) * z) / y = x. [para(21(a,2),20(a,1,1))]. 78 (((x / y) / z) * z) * y = x. [para(21(a,2),21(a,1,1))]. 79 x != y | 1 * z != y | z = x. [para(16(a,1),22(a,1))]. 80 x != y | z * u != y | z \ x = u. [para(19(a,1),22(a,1)),flip(c)]. 81 x != y | z * u != y | x / u = z. [para(21(a,1),23(a,1)),flip(c)]. 82 1 * x != y | y = x. [para(16(a,1),24(a,1)),flip(a)]. 83 1 * x != y | x = y. [para(16(a,1),24(a,2))]. 84 x * y != x | 1 = y. [para(17(a,1),24(a,1)),flip(a)]. 85 (x * y) * 1 != x * z | z = y. [para(17(a,2),24(a,2)),flip(a)]. 86 x \ (x * (y * z)) != y * u | u = z. [para(18(a,2),24(a,2)),flip(a)]. 87 x * y != z | x \ z = y. [para(19(a,1),24(a,1)),flip(a)]. 88 x * (x \ (y * z)) != y * u | u = z. [para(19(a,2),24(a,2)),flip(a)]. 89 (x / y) * z != x | z = y. [para(21(a,1),24(a,2))]. 91 x * 1 != y | y = x. [para(17(a,1),25(a,1)),flip(a)]. 92 x * 1 != y | x = y. [para(17(a,1),25(a,2))]. 93 x \ (x * (y * z)) != u * z | u = y. [para(18(a,2),25(a,2)),flip(a)]. 94 x * (y \ z) != z | x = y. [para(19(a,1),25(a,2))]. 95 ((x * y) * z) / z != u * y | u = x. [para(20(a,2),25(a,2)),flip(a)]. 96 x * y != z | z / y = x. [para(21(a,1),25(a,1)),flip(a)]. 97 x * (y * (y \ z)) = x * z. [hyper(26,a,19,a)]. 98 ((x / y) * y) * z = x * z. [hyper(27,a,21,a)]. 99 (x * (x \ y)) * z = y * z. [hyper(27,a,19,a)]. 100 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(29(a,2),19(a,1,2))]. 101 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(19(a,1),29(a,2,2,1)),flip(a)]. 102 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(21(a,1),29(a,2,1,2)),flip(a)]. 103 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(21(a,1),29(a,2,2,1)),flip(a)]. 104 (x * y) * K(y,x) = y * x. [para(31(a,2),19(a,1,2))]. 105 x \ ((y \ x) * y) = K(y \ x,y). [para(19(a,1),31(a,2,1)),flip(a)]. 106 ((x \ y) * x) \ y = K(x,x \ y). [para(19(a,1),31(a,2,2)),flip(a)]. 107 x \ (y * (x / y)) = K(y,x / y). [para(21(a,1),31(a,2,1)),flip(a)]. 108 (x * (y / x)) \ y = K(y / x,x). [para(21(a,1),31(a,2,2)),flip(a)]. 109 x \ (1 * (x * y)) = L(y,x,1). [para(16(a,1),33(a,2,1)),flip(a)]. 110 (x * 1) \ (x * y) = L(y,1,x). [para(16(a,1),33(a,2,2,2)),flip(a)]. 111 (x * y) \ (x * y) = L(1,y,x). [para(17(a,1),33(a,2,2,2)),flip(a)]. 112 (x * y) * L(z,y,x) = x * (y * z). [para(33(a,2),19(a,1,2))]. 113 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(19(a,1),33(a,2,1)),flip(a)]. 114 L(x \ y,x,z) = (z * x) \ (z * y). [para(19(a,1),33(a,2,2,2))]. 115 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(21(a,1),33(a,2,1)),flip(a)]. 116 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(21(a,1),33(a,2,2,2))]. 117 (x * y) / (x * y) = R(1,x,y). [para(16(a,1),35(a,2,1,1)),flip(a)]. 118 ((x * 1) * y) / y = R(x,1,y). [para(16(a,1),35(a,2,2)),flip(a)]. 119 (x * y) / (y * 1) = R(x,y,1). [para(17(a,1),35(a,2,1)),flip(a)]. 120 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(19(a,1),35(a,2,1,1))]. 121 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(19(a,1),35(a,2,1))]. 122 R(x,y,z) * (y * z) = (x * y) * z. [para(35(a,2),21(a,1,1))]. 123 R(x / y,y,z) = (x * z) / (y * z). [para(21(a,1),35(a,2,1,1))]. 124 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(21(a,1),35(a,2,2)),flip(a)]. 125 T(1,x) = x \ x. [para(16(a,1),37(a,2,2))]. 126 T(x,x) = x. [para(37(a,2),18(a,1))]. 127 x * T(y,x) = y * x. [para(37(a,2),19(a,1,2))]. 128 T(x,x \ y) = (x \ y) \ y. [para(19(a,1),37(a,2,2))]. 129 T(x / y,y) = y \ x. [para(21(a,1),37(a,2,2))]. 130 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(47(a,2),43(a,1,1)),flip(a)]. 131 x \ (1 \ (x * y)) = y. [hyper(22,a,19,a,b,59,a(flip)),flip(a)]. 132 (x * (x \ 1)) \ y = y. [para(19(a,2),59(a,1,1))]. 133 ((1 / x) * x) \ y = y. [para(21(a,2),59(a,1,1))]. 135 x / (y * (y \ 1)) = x. [para(19(a,2),68(a,1,2))]. 136 x / ((1 / y) * y) = x. [para(21(a,2),68(a,1,2))]. 137 T(T(x,y),x) = T(x,y). [para(126(a,1),43(a,1,1)),flip(a)]. 138 T(L(x,y,z),x) = L(x,y,z). [para(126(a,1),45(a,1,1)),flip(a)]. 139 x \ x = 1 * 1. [hyper(22,a,19,a,b,58,a),flip(a)]. 140 (x / (y \ x)) * z = y * z. [hyper(27,a,70,a)]. 141 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(29(a,2),70(a,1,2))]. 142 (x * y) / K(x,y) = y * x. [para(31(a,2),70(a,1,2))]. 143 (x * (y * z)) / L(z,y,x) = x * y. [para(33(a,2),70(a,1,2))]. 144 (x * y) / T(x,y) = y. [para(37(a,2),70(a,1,2))]. 145 x / (y / ((z \ x) \ y)) = z. [para(70(a,2),70(a,1,2))]. 146 ((x / y) \ x) * z = y * z. [hyper(27,a,73,a)]. 147 (x / (1 * y)) \ x = y. [hyper(22,a,16,a,b,73,a(flip)),flip(a)]. 148 x * ((y / (x \ z)) \ y) = z. [para(73(a,2),19(a,1,2))]. 149 R(x,y,z) \ ((x * y) * z) = y * z. [para(35(a,2),73(a,1,1))]. 150 ((x / (y / z)) \ x) \ y = z. [para(73(a,2),73(a,1,1))]. 151 T(1,x) = 1. [para(125(a,2),60(a,1))]. 152 K(1,x) = 1. [hyper(41,a,151,a)]. 153 T(x,1) = x. [hyper(40,a,151,a)]. 155 K(x,1) = 1. [hyper(41,a,153,a)]. 157 x \ x != y | 1 = y. [para(139(a,2),82(a,1)),flip(b)]. 158 ((1 / x) * x) * y != z | y = z. [para(21(a,2),83(a,1,1))]. 159 x * (y * (y \ 1)) != z | z = x. [para(19(a,2),91(a,1,2))]. 160 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(62(a,1),35(a,2,1))]. 161 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(64(a,1),29(a,2,1)),flip(a)]. 162 L(x \ 1,x,y) = (y * x) \ y. [para(64(a,1),33(a,2,2))]. 163 R(1 / x,x,y) = y / (x * y). [para(71(a,1),35(a,2,1))]. 164 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(72(a,1),29(a,2,1)),flip(a)]. 165 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(72(a,1),33(a,2,2))]. 166 T((x * y) / x,x) = y. [hyper(22,a,21,a(flip),b,127,a)]. 167 (x * T(y,x)) / x = y. [hyper(23,a,21,a,b,127,a(flip)),flip(a)]. 168 x \ (y * T(x,y)) = y. [hyper(22,a,19,a,b,127,a(flip)),flip(a)]. 169 (x \ y) * T(x,x \ y) = y. [para(127(a,2),19(a,1))]. 170 x * (y * (y \ T(z,x))) = z * x. [para(19(a,2),127(a,1,2))]. 171 x * T(y / x,x) = y. [para(127(a,2),21(a,1))]. 172 x * y != z | y * u != z | T(x,y) = u. [para(127(a,1),22(a,1)),flip(c)]. 173 x * y != z * x | T(z,x) = y. [para(127(a,1),24(a,1)),flip(a)]. 174 x * T(y,x) != z * x | z = y. [para(127(a,2),25(a,2)),flip(a)]. 175 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(127(a,1),29(a,2,1,2)),flip(a)]. 176 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(127(a,1),29(a,2,2,1)),flip(a)]. 177 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(127(a,1),31(a,2,1)),flip(a)]. 178 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(127(a,1),33(a,2,1)),flip(a)]. 179 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(127(a,1),33(a,2,2,2)),flip(a)]. 180 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(127(a,1),35(a,2,1,1)),flip(a)]. 181 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(127(a,1),35(a,2,2)),flip(a)]. 182 x * T(T(y,x),z) = T(y,z) * x. [para(43(a,1),127(a,1,2))]. 183 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(45(a,2),127(a,1,2))]. 184 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(47(a,2),127(a,1,2))]. 185 T(T(x / y,z),y) = T(y \ x,z). [para(129(a,1),43(a,1,1)),flip(a)]. 186 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(129(a,1),45(a,1,1)),flip(a)]. 187 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(129(a,1),47(a,1,1)),flip(a)]. 188 T(x / (x / y),x / y) = y. [para(129(a,2),73(a,1))]. 189 K(x \ 1,x) = (x \ 1) * x. [para(132(a,1),31(a,2))]. 190 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(132(a,1),33(a,2)),flip(a)]. 191 K(x,1 / x) = x * (1 / x). [para(133(a,1),31(a,2))]. 192 (1 / x) * (x * y) = L(y,x,1 / x). [para(133(a,1),33(a,2)),flip(a)]. 193 (x * y) * (y \ 1) = R(x,y,y \ 1). [para(135(a,1),35(a,2)),flip(a)]. 194 (x * (1 / y)) * y = R(x,1 / y,y). [para(136(a,1),35(a,2)),flip(a)]. 195 K(T(x,y),x) = 1. [hyper(41,a,137,a)]. 196 T(x,T(x,y)) = x. [hyper(40,a,137,a)]. 197 T(T(T(x,y),z),x) = T(T(x,y),z). [para(137(a,1),43(a,1,1)),flip(a)]. 198 T(x,y) * x = x * T(x,y). [para(137(a,1),127(a,1,2)),flip(a)]. 199 x / T(y,y \ x) = y \ x. [para(19(a,1),144(a,1,1))]. 200 (T(x,y) * z) / T(T(x,z),y) = z. [para(43(a,1),144(a,1,2))]. 201 (x / (1 * y)) * y = x. [para(147(a,1),19(a,1,2))]. 202 T(T((x * y) / x,z),x) = T(y,z). [para(166(a,1),43(a,1,1)),flip(a)]. 203 K(x,(y * x) / y) = 1. [para(166(a,1),195(a,1,1))]. 204 T((x * y) / x,y) = (x * y) / x. [para(166(a,1),196(a,1,2))]. 205 (x * T(T(y,x),z)) / x = T(y,z). [para(43(a,1),167(a,1,1,2))]. 206 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(45(a,2),168(a,1,2,2))]. 207 T(x,(y * x) / y) = x. [hyper(42,a,203,a)]. 208 x * K(y,z) != y * z | z * y = x. [para(31(a,2),94(a,1,2)),flip(b)]. 209 x * L(y,z,u) != u * (z * y) | u * z = x. [para(33(a,2),94(a,1,2)),flip(b)]. 211 x != y | y / 1 = x. [para(17(a,1),96(a,1))]. 212 (x / y) \ x = y / 1. [hyper(211,a,73,a),flip(a)]. 213 x * (x \ y) = y / 1. [hyper(211,a,19,a),flip(a)]. 214 x / 1 = 1 * x. [hyper(211,a,16,a)]. 215 x / 1 != y | y = x. [para(214(a,2),82(a,1))]. 216 x / 1 != y | x = y. [para(214(a,2),83(a,1))]. 217 x / (y * (y \ 1)) != z | z = x. [para(19(a,2),215(a,1,2))]. 218 x / ((1 / y) * y) != z | z = x. [para(21(a,2),215(a,1,2))]. 219 (x / y) \ x != z | z = y. [para(212(a,2),215(a,1))]. 220 x * (x \ y) != z | z = y. [para(213(a,2),215(a,1))]. 221 (x / y) \ x = z * (z \ y). [para(213(a,2),212(a,2))]. 222 x \ (x * y) != z | z = y. [para(20(a,1),219(a,1,1))]. 223 x \ (y * x) != z | T(y,x) = z. [para(144(a,1),219(a,1,1)),flip(b)]. 224 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(33(a,2),220(a,1,2)),flip(b)]. 225 x * T(y,x) != z | y * x = z. [para(37(a,2),220(a,1,2)),flip(b)]. 226 (x / y) * y != z | z = x. [para(73(a,1),220(a,1,2))]. 227 (x * (x \ 1)) \ y != z | z = y. [para(62(a,1),220(a,1))]. 228 ((1 / x) * x) \ y != z | z = y. [para(71(a,1),220(a,1))]. 229 x * y != z | y * T(x,y) = z. [para(168(a,1),220(a,1,2)),flip(b)]. 230 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(35(a,2),226(a,1,1)),flip(b)]. 231 x \ (y * (y \ x)) = 1. [para(17(a,1),65(a,1,2,2,2))]. 232 (x / y) \ (z * (z \ x)) = y. [para(21(a,1),65(a,1,2,2,2))]. 233 x \ ((x * y) * L(z,y,x)) = y * z. [para(33(a,2),65(a,1,2,2))]. 234 x * (x \ y) = y * 1. [para(231(a,1),19(a,1,2)),flip(a)]. 235 x * 1 != y * z | y \ x = z. [para(234(a,1),24(a,1))]. 237 (x / y) * y = x * 1. [para(73(a,1),234(a,1,2))]. 239 x * 1 != y * z | x / z = y. [para(237(a,1),25(a,1))]. 240 (x / y) * y = z * (z \ x). [para(237(a,2),234(a,2)),flip(a)]. 241 L(x \ (y \ z),x,y) = (y * x) \ z. [para(66(a,1),33(a,2,2))]. 242 x * (x \ (y * z)) = y * (u * (u \ z)). [para(65(a,1),66(a,1,2,2,2)),flip(a)]. 243 ((1 * x) / y) \ x = y. [para(74(a,1),131(a,1,2))]. 246 ((x * (x \ y)) / z) \ y = z. [hyper(87,a,76,a)]. 247 (x / y) * y = 1 * x. [para(63(a,1),76(a,1,1,1))]. 248 1 * x != y * z | x / z = y. [para(247(a,1),25(a,1))]. 249 (x / ((y / z) * z)) * y = x. [para(247(a,2),201(a,1,1,2))]. 250 (((x / y) * y) / z) \ x = z. [para(247(a,2),243(a,1,1,1))]. 251 ((x / y) * y) / z = x / z. [para(21(a,1),77(a,1,1,1,1))]. 252 (R(x,y,z) * (y * z)) / z = x * y. [para(35(a,2),77(a,1,1,1))]. 253 R((x / y) / z,z,y) = x / (z * y). [para(78(a,1),35(a,2,1))]. 254 ((x / y) * y) * (x \ z) = z. [para(70(a,1),78(a,1,1,1,1))]. 255 x != y | z != y | z = x. [para(16(a,1),79(b,1))]. 256 (x * y) / y = z / (x \ z). [hyper(255,a,70,a,b,20,a)]. 257 x / (y \ x) = z * (z \ y). [hyper(255,a,70,a,b,19,a),flip(a)]. 258 (x * y) / y = (x / z) * z. [hyper(255,a,21,a,b,20,a)]. 259 x \ (x * y) = z * (z \ y). [hyper(255,a,19,a,b,18,a)]. 260 (x / (y * (y \ z))) * z = x. [hyper(226,a,97,a)]. 261 x * y != z * y | (z / u) * u = x. [para(98(a,1),25(a,2)),flip(b)]. 263 x * K(y \ x,y) = (y \ x) * y. [hyper(255,a,99,a(flip),b,104,a(flip)),flip(a)]. 264 x * K(y,x / y) = y * (x / y). [hyper(255,a,98,a(flip),b,104,a(flip)),flip(a)]. 265 (x * y) * z != y * x | K(y,x) = z. [para(104(a,1),24(a,1)),flip(a)]. 266 (x * y) * K(y,x) != y * z | z = x. [para(104(a,2),24(a,2)),flip(a)]. 267 (x * y) \ ((y * x) * (K(x,y) * z)) = L(z,K(x,y),y * x). [para(104(a,1),33(a,2,1)),flip(a)]. 268 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(104(a,1),33(a,2,2,2)),flip(a)]. 269 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(104(a,1),35(a,2,1)),flip(a)]. 270 K(x,y) \ (x * y) = T(y * x,K(x,y)). [para(104(a,1),37(a,2,2)),flip(a)]. 271 (x * y) / T(y * x,K(x,y)) = K(x,y). [para(104(a,1),144(a,1,1))]. 272 (x * y) \ (y * x) != z | K(y,x) = z. [para(104(a,1),222(a,1,2)),flip(b)]. 273 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(27,a,128,a)]. 274 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(26,a,128,a)]. 275 (x \ y) \ y = z * (z \ T(x,x \ y)). [hyper(255,a,19,a,b,128,a(flip))]. 276 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(128(a,1),43(a,1,1)),flip(a)]. 277 T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). [para(128(a,1),45(a,1,1)),flip(a)]. 278 T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. [para(128(a,2),128(a,1,2))]. 279 T(x,L(x,y,z)) = x. [hyper(40,a,138,a)]. 280 K(x,L(x,y,z)) = 1. [hyper(41,a,279,a)]. 281 x / K(y,y \ x) = (y \ x) * y. [para(19(a,1),142(a,1,1))]. 282 ((x / y) \ x) * (y \ z) = z. [hyper(255,a,19,a(flip),b,146,a)]. 283 x * (((y / x) \ y) \ z) = z. [hyper(220,a,146,a)]. 284 ((x / y) \ x) * z != u | y \ u = z. [para(146(a,2),87(a,1))]. 285 (x / y) * ((z / y) \ z) = x. [para(73(a,1),148(a,1,2,1,2))]. 286 (x \ y) * z != y | T(x,x \ y) = z. [para(169(a,1),24(a,1)),flip(a)]. 287 (x \ y) \ y != z | T(x,x \ y) = z. [para(169(a,1),222(a,1,2)),flip(b)]. 288 T(x / (x / y),(z / (x / y)) \ z) = y. [para(73(a,2),188(a,1,2))]. 289 x * T(x \ 1,x) = K(x \ 1,x). [hyper(255,a,127,a,b,189,a),flip(a)]. 290 (x \ 1) \ K(x \ 1,x) = x. [hyper(87,a,189,a(flip))]. 292 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(189(a,2),29(a,2,1,2)),flip(a)]. 293 (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). [para(189(a,2),35(a,2,1,1)),flip(a)]. 294 x \ K(x \ 1,x) = T(x \ 1,x). [para(189(a,2),37(a,2,2)),flip(a)]. 295 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(191(a,2),33(a,2,1)),flip(a)]. 296 (x / y) \ x != z * u | z \ y = u. [para(221(a,2),24(a,1))]. 297 x * (x \ y) != z * u | y / u = z. [para(232(a,1),94(a,1,2)),flip(a),flip(b)]. 298 x / (y \ ((x / z) * z)) = y. [hyper(23,a,148,a,b,240,a(flip))]. 300 R(x,y / z,z) * y = (x * (y / z)) * z. [para(35(a,2),249(a,1,1))]. 301 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(254(a,1),35(a,2,1))]. 302 (x / (y \ x)) * z != u | y * z = u. [para(256(a,1),226(a,1,1)),flip(b)]. 303 x / (y \ x) != z | z = y. [para(257(a,2),220(a,1))]. 304 (x * y) / y != z | z = x. [para(18(a,1),303(a,1,2))]. 305 (x * y) / T(x,y) != z | z = y. [para(37(a,2),303(a,1,2))]. 306 x / x != y | 1 = y. [para(59(a,1),303(a,1,2)),flip(b)]. 307 (x * y) / y != z * u | x / u = z. [para(258(a,2),25(a,1))]. 308 ((x / y) * y) * z != u | x * z = u. [para(258(a,1),226(a,1,1)),flip(b)]. 309 x \ (x * y) != z * u | z \ y = u. [para(259(a,2),24(a,1))]. 310 x * (y * (y \ z)) != u | x * z = u. [para(259(a,1),220(a,1,2)),flip(b)]. 311 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(35(a,2),260(a,1,1))]. 312 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(199(a,1),282(a,1,1,1))]. 313 x * ((y / z) \ y) != u | u / z = x. [para(285(a,1),25(a,1)),flip(a)]. 314 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(199(a,1),285(a,1,2,1))]. 315 (x \ 1) * x != y | K(x \ 1,x) = y. [para(290(a,1),220(a,1,2)),flip(b)]. 316 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [para(33(a,2),298(a,1,2))]. 317 x * y != x * z | z = y. [para(17(a,1),85(a,1))]. 318 x \ (x * y) = L(y,x,1). [para(16(a,1),109(a,1,2))]. 319 L(x,y,1) = x. [hyper(222,a,318,a)]. 321 x \ (x * y) = L(y,1,x). [para(17(a,1),110(a,1,1))]. 322 L(x,1,y) = x. [hyper(222,a,321,a)]. 323 L(x,1,y) != z | z = x. [para(321(a,1),222(a,1))]. 325 L(1,x,y) = 1. [hyper(157,a,111,a),flip(a)]. 328 R(1,x,y) = 1. [hyper(306,a,117,a),flip(a)]. 331 (x * y) / y = R(x,1,y). [para(17(a,1),118(a,1,1,1))]. 332 R(x,1,y) = x. [hyper(304,a,331,a)]. 335 (x * y) / y = R(x,y,1). [para(17(a,1),119(a,1,2))]. 336 R(x,y,1) = x. [hyper(304,a,335,a)]. 339 L(x \ 1,x,1 / x) = 1 / x. [hyper(255,a,133,a(flip),b,162,a)]. 340 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(26,a,162,a)]. 341 (x * y) * L(y \ 1,y,x) = x. [para(162(a,2),19(a,1,2))]. 342 L((x \ y) \ 1,x \ y,x) = y \ x. [para(19(a,1),162(a,2,1))]. 343 L(x \ 1,x,y / x) = y \ (y / x). [para(21(a,1),162(a,2,1))]. 344 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(162(a,1),45(a,2,1)),flip(a)]. 345 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(162(a,1),49(a,1,1))]. 346 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(162(a,1),50(a,1,1)),flip(a)]. 347 x / L(y \ 1,y,x) = x * y. [para(162(a,2),70(a,1,2))]. 348 R(1 / x,x,x \ 1) = x \ 1. [hyper(255,a,135,a(flip),b,163,a)]. 349 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(27,a,163,a)]. 350 R(1 / x,x,x \ y) = (x \ y) / y. [para(19(a,1),163(a,2,2))]. 351 R(1 / (x / y),x / y,y) = y / x. [para(21(a,1),163(a,2,2))]. 352 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(163(a,1),47(a,2,1)),flip(a)]. 353 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(163(a,1),51(a,1,1)),flip(a)]. 354 R(1 / x,x,y) \ y = x * y. [para(163(a,2),73(a,1,1))]. 355 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(127(a,1),173(a,2))]. 358 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(43(a,1),174(a,1,2)),flip(b)]. 359 T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. [para(127(a,1),223(a,1,2))]. 360 T(x,x \ y) \ y != z | T(x \ y,T(x,x \ y)) = z. [para(169(a,1),223(a,1,2))]. 361 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(43(a,1),225(a,1,2))]. 362 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(45(a,2),225(a,1,2))]. 363 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(47(a,2),225(a,1,2))]. 364 K(x \ 1,x) != y | (x \ 1) * x = y. [para(31(a,2),227(a,1)),flip(b)]. 365 K(x,1 / x) != y | x * (1 / x) = y. [para(31(a,2),228(a,1)),flip(b)]. 366 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(33(a,2),228(a,1)),flip(b)]. 367 x * (y * (y \ 1)) != z * u | z \ x = u. [para(19(a,2),235(a,1,2))]. 368 x * (x \ y) != z * u | z \ y = u. [para(234(a,2),235(a,1))]. 369 (x / y) * y != z * u | x / u = z. [para(237(a,2),239(a,1))]. 371 ((1 / x) * x) * y != z * u | y / u = z. [para(21(a,2),248(a,1,1))]. 372 L(T(x \ 1,y),x,1 / x) = T(1 / x,y). [para(339(a,1),45(a,2,1))]. 374 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(341(a,1),222(a,1,2)),flip(b)]. 375 x / L(y,1 / y,x) = x * (1 / y). [para(73(a,1),347(a,1,2,1))]. 376 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(347(a,1),282(a,1,1,1))]. 377 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(347(a,1),283(a,1,2,1,1))]. 378 R(T(1 / x,y),x,x \ 1) = T(x \ 1,y). [para(348(a,1),47(a,2,1))]. 379 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(70(a,1),354(a,1,1,1))]. 380 x / (y * x) != z | R(1 / y,y,x) = z. [para(354(a,1),303(a,1,2)),flip(b)]. 381 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(80,a,128,a,b,19,a)]. 382 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(80,a,33,a,b,133,a(flip))]. 383 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(80,a,33,a,b,132,a(flip))]. 384 (T(x,x \ y) / z) \ ((x \ y) \ y) = z. [hyper(80,a,128,a(flip),b,21,a)]. 385 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(81,a,35,a,b,135,a(flip))]. 386 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(81,a,162,a(flip),b,16,a)]. 387 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(18(a,1),105(a,2,1)),flip(a)]. 388 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(127(a,2),105(a,1,2))]. 390 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(189(a,2),106(a,1,1))]. 391 K(x,1 / x) \ 1 = K(1 / x,x). [para(191(a,2),108(a,1,1))]. 392 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(170(a,1),33(a,2,2))]. 393 T(x,y) * z != z * u | T(T(x,z),y) = u. [para(182(a,1),24(a,1))]. 394 x * T(x \ (y * x),z) = T(y,z) * x. [para(37(a,1),182(a,1,2,1))]. 395 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(43(a,1),182(a,1,2,1))]. 396 T(x / y,z) * y = y * T(y \ x,z). [para(129(a,1),182(a,1,2,1)),flip(a)]. 397 T((x * y) / x,z) * x = x * T(y,z). [para(166(a,1),182(a,1,2,1)),flip(a)]. 398 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(128(a,1),182(a,1,2,1))]. 399 T(x / (x / y),z) * (x / y) = (x / y) * T(y,z). [para(188(a,1),182(a,1,2,1)),flip(a)]. 400 (x * T(x \ y,z)) / x = T(y / x,z). [para(185(a,1),167(a,1,1,2))]. 401 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(185(a,1),225(a,1,2))]. 402 T(x,T(T(x,y),z)) = x. [hyper(40,a,197,a)]. 403 K(x,T(T(x,y),z)) = 1. [hyper(41,a,402,a)]. 404 (x * T(y,z)) / x = T((x * y) / x,z). [para(202(a,1),167(a,1,1,2))]. 405 T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). [para(128(a,1),202(a,1,1))]. 407 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(188(a,1),205(a,1,1,2,1))]. 408 (x \ y) * x != y * z | K(x \ y,x) = z. [para(263(a,1),24(a,1))]. 409 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(263(a,1),33(a,2,2,2)),flip(a)]. 410 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(263(a,1),222(a,1,2)),flip(b)]. 412 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(264(a,1),222(a,1,2)),flip(b)]. 413 x * T(x \ 1,x) != y | K(x \ 1,x) = y. [para(294(a,1),220(a,1,2)),flip(b)]. 415 (x * y) * L(z,y,x) != x * u | y * z = u. [para(33(a,2),88(a,1,2)),flip(b)]. 416 x \ (x * y) != z * u | y / u = z. [para(21(a,1),93(a,1,2,2)),flip(b)]. 417 (x * y) / L(z \ y,z,x) = x * z. [hyper(81,a,97,a(flip),b,112,a)]. 418 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(255,a,99,a(flip),b,112,a(flip)),flip(a)]. 419 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(255,a,98,a(flip),b,112,a(flip)),flip(a)]. 421 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(80,a,112,a(flip),b,127,a)]. 422 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(112(a,1),24(a,1)),flip(a)]. 423 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(112(a,1),33(a,2,1)),flip(a)]. 424 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(112(a,1),33(a,2,2,2)),flip(a)]. 425 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(112(a,1),35(a,2,1,1)),flip(a)]. 427 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(45(a,1),112(a,1,2))]. 428 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(49(a,2),112(a,1,2))]. 429 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(50(a,1),112(a,1,2))]. 430 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(127(a,1),112(a,1,1))]. 431 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(112(a,1),222(a,1,2)),flip(b)]. 432 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(112(a,1),104(a,1,1))]. 433 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(189(a,2),112(a,1,1))]. 434 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(112(a,1),158(a,1))]. 435 L(x \ (y * x),x,y) = T(y,y * x). [hyper(255,a,37,a,b,114,a)]. 436 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(255,a,133,a(flip),b,114,a)]. 437 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(255,a,132,a(flip),b,114,a)]. 438 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(255,a,107,a(flip),b,114,a)]. 439 L((x \ y) \ z,x \ y,x) = y \ (x * z). [para(19(a,1),114(a,2,1))]. 440 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(21(a,1),114(a,2,1))]. 441 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(29(a,2),114(a,1,1)),flip(a)]. 442 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(114(a,1),45(a,2,1)),flip(a)]. 443 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(127(a,1),114(a,2,1))]. 444 L(K(x,y) \ z,K(x,y),y * x) = (x * y) \ ((y * x) * z). [para(104(a,1),114(a,2,1))]. 446 x / L(y \ z,y,x / z) = (x / z) * y. [para(114(a,2),298(a,1,2))]. 447 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(114(a,2),227(a,1)),flip(b)]. 448 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(112(a,1),114(a,2,1))]. 449 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(112(a,1),114(a,2,2))]. 450 R(x / y,y,x \ z) \ z = y * (x \ z). [hyper(80,a,254,a(flip),b,122,a)]. 451 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(80,a,99,a(flip),b,122,a)]. 452 R(x / y,y,z) \ (x * z) = y * z. [hyper(80,a,98,a(flip),b,122,a)]. 453 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(80,a,122,a(flip),b,112,a)]. 454 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(122(a,1),25(a,1))]. 456 ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). [para(122(a,1),31(a,2,1)),flip(a)]. 457 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(122(a,1),35(a,2,1,1)),flip(a)]. 458 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(122(a,1),35(a,2,2)),flip(a)]. 459 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(47(a,1),122(a,1,1))]. 460 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(49(a,1),122(a,1,1))]. 461 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(51(a,1),122(a,1,1))]. 462 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(127(a,1),122(a,1,2))]. 464 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(104(a,1),122(a,1,2))]. 465 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(189(a,2),122(a,1,2))]. 466 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(122(a,1),304(a,1,1)),flip(b)]. 467 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(122(a,2),304(a,1,1)),flip(b)]. 468 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(122(a,1),159(a,1)),flip(b)]. 470 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(122(a,1),122(a,1,2))]. 471 R(x / (1 / y),1 / y,y) = x * y. [hyper(255,a,136,a(flip),b,123,a)]. 472 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(255,a,135,a(flip),b,123,a)]. 473 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(19(a,1),123(a,2,2))]. 474 R(x / (y / z),y / z,z) = (x * z) / y. [para(21(a,1),123(a,2,2))]. 475 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(123(a,1),47(a,2,1)),flip(a)]. 476 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(123(a,2),129(a,1,1))]. 477 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(198(a,1),123(a,2,2))]. 478 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(163(a,2),123(a,1,1))]. 479 R(x / (1 / y),1 / y,y) != z | x * y = z. [para(123(a,2),218(a,1)),flip(b)]. 480 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(122(a,1),123(a,2,1))]. 481 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(122(a,1),123(a,2,2))]. 482 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(123(a,2),123(a,1,1))]. 483 (x * y) / L(z,y / z,x) = x * (y / z). [para(21(a,1),143(a,1,1,2))]. 484 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(127(a,1),143(a,1,1,2))]. 485 (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). [para(104(a,1),143(a,1,1,2))]. 486 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(127(a,1),149(a,1,2,1))]. 487 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(104(a,1),149(a,1,2,1))]. 488 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(263(a,1),149(a,1,2,1))]. 489 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(112(a,1),149(a,1,2,1))]. 490 K(x,1 / x) \ x = L(x,1 / x,x). [para(191(a,2),165(a,2,1)),flip(a)]. 491 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(80,a,50,a,b,190,a)]. 492 x \ R(L(y,x \ 1,x),z,u) = (x \ 1) * R(y,z,u). [hyper(80,a,49,a,b,190,a)]. 493 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(80,a,45,a(flip),b,190,a)]. 494 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [para(127(a,1),190(a,1,2)),flip(a)]. 495 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(80,a,50,a,b,192,a)]. 496 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(127(a,1),192(a,1,2)),flip(a)]. 497 (1 / x) \ L(y,x,1 / x) != z | x * y = z. [para(192(a,1),222(a,1,2)),flip(b)]. 498 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(81,a,49,a(flip),b,193,a)]. 499 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(80,a,193,a(flip),b,127,a)]. 500 R(x,y,y \ 1) / (y \ 1) != z * y | z = x. [para(193(a,1),95(a,1,1))]. 501 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(81,a,51,a,b,194,a)]. 502 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(81,a,49,a(flip),b,194,a)]. 503 K(x,1 / x) * x = R(x,1 / x,x). [para(191(a,2),194(a,1,1))]. 505 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(241(a,1),45(a,2,1))]. 506 L(R(x \ (y \ z),u,w),x,y) = R((y * x) \ z,u,w). [para(241(a,1),49(a,1,1)),flip(a)]. 507 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(241(a,1),50(a,1,1)),flip(a)]. 508 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(73(a,1),241(a,1,1))]. 510 R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w. [para(35(a,2),296(a,1,1))]. 514 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(259(a,1),297(a,1,2))]. 519 (x * (x \ y)) * z != u | y * z = u. [para(257(a,1),302(a,1,1))]. 520 (((x * y) / z) * z) / y != u * w | x / w = u. [para(21(a,2),307(a,1,1))]. 523 (x / y) \ (z * (z \ x)) != u * w | u \ y = w. [para(240(a,1),309(a,1,2))]. 524 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(342(a,1),279(a,1,2))]. 525 K((x \ y) \ 1,y \ x) = 1. [para(342(a,1),280(a,1,2))]. 526 K(((x * y) \ x) \ 1,y) = 1. [para(18(a,1),525(a,1,2))]. 527 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(343(a,1),45(a,2,1)),flip(a)]. 528 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(350(a,1),47(a,2,1)),flip(a)]. 529 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(350(a,2),123(a,1,1))]. 530 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(19(a,2),368(a,1,2))]. 533 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(259(a,1),368(a,1,2))]. 534 (((x / y) / z) * z) * y != u * w | x / w = u. [para(21(a,2),369(a,1,1))]. 535 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(258(a,1),369(a,1,1))]. 537 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(383(a,1),220(a,1,2)),flip(b)]. 540 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(341(a,1),416(a,1,2))]. 541 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(122(a,1),416(a,1,2))]. 542 L(T(x,y),y,x) = T(x,x * y). [para(37(a,2),435(a,1,1))]. 543 T(L(x,y,x),y) = T(x,x * y). [hyper(255,a,45,a(flip),b,542,a(flip)),flip(a)]. 544 L(T(T(x,y),z),y,x) = T(T(x,x * y),z). [para(542(a,1),45(a,2,1))]. 545 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(542(a,1),49(a,1,1)),flip(a)]. 546 L(L(T(x,y),z,u),y,x) = L(T(x,x * y),z,u). [para(542(a,1),50(a,1,1)),flip(a)]. 547 x * T(y,y * x) = L(y,x,y) * x. [para(543(a,1),127(a,1,2))]. 548 (x * T(y,y * x)) / x = L(y,x,y). [para(543(a,1),167(a,1,1,2))]. 550 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(436(a,1),45(a,2,1))]. 551 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(436(a,1),49(a,1,1)),flip(a)]. 552 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(437(a,1),45(a,2,1))]. 553 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(437(a,1),279(a,1,2))]. 554 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(471(a,1),47(a,2,1))]. 555 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(472(a,1),47(a,2,1))]. 556 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(472(a,1),51(a,1,1)),flip(a)]. 557 K(x,1 / x) * L(x,1 / x,x) = x. [para(490(a,1),19(a,1,2))]. 559 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(19(a,1),547(a,1,2,2)),flip(a)]. 561 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(127(a,1),547(a,1,2,2)),flip(a)]. 562 ((x \ y) * T(x,y)) / (x \ y) = L(x,x \ y,x). [para(19(a,1),548(a,1,1,2,2))]. 563 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(557(a,1),24(a,1)),flip(a)]. 564 T(x / y,(z / y) \ z) = y \ x. [hyper(172,a,285,a,b,282,a)]. 565 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(255,a,112,a(flip),b,183,a(flip)),flip(a)]. 566 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [hyper(80,a,183,a(flip),b,112,a(flip))]. 568 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(183(a,1),29(a,2,1,2)),flip(a)]. 569 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(47(a,2),183(a,1,2,1))]. 570 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(129(a,1),183(a,1,2,1)),flip(a)]. 571 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(166(a,1),183(a,1,2,1)),flip(a)]. 572 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(128(a,1),183(a,1,2,1))]. 573 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(255,a,122,a(flip),b,184,a)]. 574 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(80,a,122,a(flip),b,184,a)]. 576 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(43(a,1),184(a,1,2,1))]. 577 R(x,y,z) * x = x * R(x,y,z). [para(126(a,1),184(a,1,2,1)),flip(a)]. 578 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(129(a,1),184(a,1,2,1)),flip(a)]. 579 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(137(a,1),184(a,1,2,1)),flip(a)]. 580 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(166(a,1),184(a,1,2,1)),flip(a)]. 581 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(128(a,1),184(a,1,2,1))]. 582 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(188(a,1),184(a,1,2,1)),flip(a)]. 583 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(542(a,2),184(a,1,2,1))]. 584 T(x,R(x,y,z)) = x. [hyper(173,a,577,a)]. 585 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(186(a,1),167(a,1,1,2))]. 586 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(187(a,1),167(a,1,1,2))]. 587 T(x / (y * x),y) = R(y \ 1,y,x). [para(163(a,1),187(a,1,1))]. 588 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(123(a,1),187(a,1,1))]. 589 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(253(a,1),187(a,1,1)),flip(a)]. 590 T((x \ y) / y,x) = R(x \ 1,x,x \ y). [para(350(a,1),187(a,1,1))]. 591 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(351(a,1),187(a,1,1)),flip(a)]. 592 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(472(a,1),187(a,1,1)),flip(a)]. 593 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(587(a,1),127(a,1,2)),flip(a)]. 594 x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. [para(587(a,1),225(a,1,2))]. 595 ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). [hyper(225,a,273,a),flip(a)]. 597 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). [hyper(80,a,273,a(flip),b,112,a)]. 598 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(273(a,2),31(a,2,1)),flip(a)]. 599 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(273(a,2),33(a,2,1)),flip(a)]. 601 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(369,a,274,a),flip(a)]. 602 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(81,a,274,a,b,xx)]. 603 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). [hyper(80,a,274,a(flip),b,104,a)]. 605 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(275(a,2),310(a,1,2))]. 608 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(21(a,1),374(a,1,1))]. 609 K(x \ 1,x) \ (x \ 1) != y | L(x \ 1,x,x \ 1) = y. [para(189(a,2),374(a,1,1))]. 611 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(127(a,1),380(a,1,2))]. 612 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(191(a,2),380(a,1,2))]. 613 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(381(a,2),199(a,1,2,2))]. 614 K(x \ (x * y),x) = K(y,x). [hyper(255,a,105,a(flip),b,387,a),flip(a)]. 615 K(x \ (x * y),z) = K(y,z). [para(61(a,1),614(a,1,1)),flip(a)]. 616 K((x / y) \ x,z) = K(y,z). [para(21(a,1),615(a,1,1,2))]. 617 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(396(a,1),304(a,1,1)),flip(b)]. 618 T((x * y) / x,y * x) = L(y,x,y). [hyper(23,a,547,a(flip),b,397,a)]. 619 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(255,a,273,a(flip),b,397,a(flip)),flip(a)]. 620 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(397(a,1),304(a,1,1)),flip(b)]. 621 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(19(a,1),618(a,1,2))]. 622 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(618(a,1),43(a,1,1)),flip(a)]. 623 ((x * y) / x) * (y * x) = (y * x) * L(y,x,y). [para(618(a,1),127(a,1,2)),flip(a)]. 624 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(400(a,1),226(a,1,1)),flip(b)]. 626 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(404(a,2),127(a,1,2))]. 627 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(129(a,1),404(a,1,1,2)),flip(a)]. 628 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(404(a,1),226(a,1,1)),flip(b)]. 629 T(x * y,(x \ 1) \ y) = x * y. [hyper(40,a,553,a)]. 632 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(81,a,99,a(flip),b,100,a)]. 633 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(19(a,1),100(a,1,1,2))]. 634 x * a(x,y,y \ 1) = (x * y) * (y \ 1). [para(64(a,1),100(a,1,1))]. 635 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(127(a,1),100(a,1,1,2))]. 636 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(100(a,1),222(a,1,2)),flip(b)]. 637 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(122(a,1),100(a,1,1))]. 639 L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). [para(127(a,1),115(a,1,2,2)),flip(a)]. 641 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(120(a,2),246(a,1,1))]. 642 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(120(a,2),250(a,1,1))]. 643 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(193(a,1),161(a,1,2))]. 644 x * a(x,y,y \ 1) = R(x,y,y \ 1). [para(643(a,1),19(a,1,2))]. 646 x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(644(a,1),222(a,1,2)),flip(b)]. 647 x \ (K(x,1 / x) * x) = a(x,1 / x,x). [para(191(a,2),164(a,1,2,1))]. 648 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(194(a,1),164(a,1,2))]. 651 L(T(x,y),y,1 / y) != z | (1 / y) * (x * y) = z. [para(179(a,1),228(a,1)),flip(b)]. 652 x * ((y * x) \ (y * (z * x))) = L(z,x,y) * x. [para(179(a,2),183(a,1,2))]. 653 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). [para(269(a,1),396(a,1,1,1)),flip(a)]. 654 L(R(x,y / z,z),u,w) * y = (L(x,u,w) * (y / z)) * z. [para(49(a,1),300(a,1,1))]. 655 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(49(a,1),311(a,1,1))]. 656 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(344(a,2),112(a,1,2))]. 657 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(220,a,349,a)]. 658 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(255,a,129,a(flip),b,352,a(flip))]. 659 T(x / (y * x),z) * (y * x) = (T(1 / y,z) * y) * x. [para(352(a,2),122(a,1,1))]. 660 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(128(a,1),358(a,1,2))]. 661 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(37(a,1),361(a,1,2,1))]. 662 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(255,a,129,a(flip),b,372,a)]. 663 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [hyper(80,a,372,a(flip),b,192,a)]. 664 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(173,a,376,a),flip(a)]. 665 T(x \ 1,y) / (x \ 1) = T(1 / x,y) * x. [hyper(81,a,378,a(flip),b,193,a)]. 666 K(x,y) = L(x \ T(x,y),x,y). [hyper(255,a,31,a,b,392,a),flip(a)]. 667 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(392(a,1),45(a,2,1))]. 669 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(127(a,2),410(a,1,2))]. 670 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(255,a,183,a(flip),b,418,a(flip))]. 671 x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z). [hyper(80,a,183,a(flip),b,418,a(flip))]. 672 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(418(a,1),24(a,1))]. 673 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(50(a,1),418(a,1,2))]. 674 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(418(a,1),222(a,1,2)),flip(b)]. 675 L(x \ y,x,y / x) = T(y / x,y). [hyper(172,a,97,a(flip),b,419,a),flip(a)]. 676 (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. [hyper(255,a,183,a(flip),b,419,a(flip))]. 677 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(439(a,1),45(a,2,1))]. 678 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(439(a,1),49(a,1,1)),flip(a)]. 679 R(x,T(y,x),(y * x) \ z) \ z = T(y,x) * ((y * x) \ z). [para(144(a,1),450(a,1,1,1))]. 680 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(451(a,1),303(a,1,2)),flip(b)]. 681 T(R(x / y,y,y \ z),z) = z \ (x * (y \ z)). [para(473(a,2),129(a,1,1))]. 682 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(474(a,1),47(a,2,1))]. 683 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(474(a,1),51(a,1,1)),flip(a)]. 685 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(474(a,1),187(a,1,1)),flip(a)]. 686 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(484(a,1),219(a,1,1)),flip(b)]. 687 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(255,a,662,a(flip),b,496,a(flip))]. 688 (1 / x) \ (x \ 1) = (x \ 1) * x. [hyper(80,a,662,a(flip),b,496,a(flip))]. 689 x * ((1 / x) * (y * x)) = L(y,x,1 / x) * x. [para(496(a,1),183(a,1,2))]. 690 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(73(a,1),687(a,1,2,1))]. 691 (1 / x) * K(x \ 1,x) = x \ 1. [para(189(a,2),687(a,1,2))]. 692 (1 / x) \ (x \ 1) = K(x \ 1,x). [hyper(255,a,189,a,b,688,a)]. 693 K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1). [hyper(80,a,691,a(flip),b,140,a(flip)),flip(a)]. 694 (x \ 1) \ ((1 / x) * (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [para(691(a,1),33(a,2,1)),flip(a)]. 695 K(x \ 1,x) * y != x \ 1 | T(1 / x,K(x \ 1,x)) = y. [para(691(a,1),173(a,2))]. 696 (x \ 1) * L(y,K(x \ 1,x),1 / x) = (1 / x) * (K(x \ 1,x) * y). [para(691(a,1),112(a,1,1))]. 697 (x * (y \ 1)) / L(K(y \ 1,y),1 / y,x) = x * (1 / y). [para(691(a,1),143(a,1,1,2))]. 699 x / L(K(y \ 1,y),1 / y,x / (y \ 1)) = (x / (y \ 1)) * (1 / y). [para(692(a,1),446(a,1,2,1))]. 702 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(544(a,1),112(a,1,2))]. 703 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(18(a,1),588(a,2,1)),flip(a)]. 704 T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). [para(588(a,1),185(a,1,1))]. 705 T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. [para(589(a,1),122(a,1,1))]. 706 T((x \ y) / y,x) * y = ((x \ 1) * x) * (x \ y). [para(590(a,2),311(a,1,1))]. 707 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(18(a,1),592(a,1,1)),flip(a)]. 708 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(21(a,1),593(a,1,1,2)),flip(a)]. 709 R(x \ 1,x,y) \ ((y / (x * y)) * x) != z | T(x,R(x \ 1,x,y)) = z. [para(593(a,2),223(a,1,2))]. 710 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(593(a,1),272(a,1,1))]. 711 T(K(x,1 / x),x) = a(x,1 / x,x). [hyper(223,a,647,a)]. 713 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(19(a,1),657(a,1,1,2))]. 714 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(703(a,2),127(a,1,2)),flip(a)]. 715 T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). [para(136(a,1),703(a,2,1)),flip(a)]. 716 T(R(x,y,x),y * x) = T(x,y). [para(703(a,2),202(a,1,1))]. 717 R(x,y,x) * (y * x) = (y * x) * T(x,y). [para(703(a,2),397(a,1,1))]. 718 R(T(x,y * x),y,x) = T(x,y). [hyper(255,a,47,a,b,716,a(flip)),flip(a)]. 719 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(716(a,1),183(a,1,2,1)),flip(a)]. 720 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(716(a,1),184(a,1,2,1)),flip(a)]. 721 R(T(x,y),y / x,x) = T(x,y / x). [para(21(a,1),718(a,1,1,2))]. 722 x * R(T(y,x * y),x,y) = y * x. [para(718(a,2),127(a,1,2))]. 724 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(718(a,1),122(a,1,1)),flip(a)]. 725 R(x,1 / x,x) = T(x,1 / x). [para(153(a,1),721(a,1,1))]. 726 T(x,1 / x) / x = K(x,1 / x). [hyper(81,a,725,a(flip),b,503,a)]. 727 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(725(a,1),51(a,1,1)),flip(a)]. 728 x \ T(x,1 / x) = a(x,1 / x,x). [para(725(a,1),648(a,1,2))]. 729 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [para(707(a,1),167(a,1,1,2))]. 730 (x * y) * T(y,x) = (y * x) * y. [hyper(255,a,122,a(flip),b,717,a(flip))]. 731 (x * (y / x)) * x = y * T(x,y / x). [hyper(308,a,730,a),flip(a)]. 732 ((x \ 1) * x) \ x = T(x,x \ 1). [hyper(80,a,62,a(flip),b,730,a)]. 733 K(x \ 1,x) \ x = T(x,x \ 1). [para(189(a,2),732(a,1,1))]. 734 K(x \ 1,x) \ x = (x \ 1) \ 1. [hyper(255,a,128,a(flip),b,733,a)]. 735 K(x \ 1,x) * ((x \ 1) \ 1) = x. [para(734(a,1),19(a,1,2))]. 736 K(x,1 / x) \ (1 / x) = ((1 / x) \ 1) \ 1. [para(73(a,1),734(a,1,1,1))]. 737 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(255,a,47,a,b,130,a),flip(a)]. 739 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(49(a,2),224(a,1,2))]. 741 K(x \ 1,x) * L(y,x,x \ 1) != z | (x \ 1) * (x * y) = z. [para(189(a,2),224(a,1,1))]. 747 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(127(a,1),230(a,1,2))]. 749 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(104(a,1),422(a,1,1)),flip(a)]. 751 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(66(a,1),431(a,1,2))]. 752 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(112(a,1),431(a,1,2,2))]. 754 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(100(a,1),431(a,1,2,2))]. 757 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(263(a,1),454(a,2,2))]. 758 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(691(a,1),454(a,2,2))]. 759 x / (y * z) != u | R((x / z) / y,y,z) = u. [para(78(a,1),466(a,1,1))]. 761 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(189(a,2),537(a,1,2))]. 762 L(1 / x,x,y) * x = x * ((y * x) \ y). [hyper(255,a,340,a(flip),b,570,a)]. 763 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [hyper(81,a,340,a(flip),b,570,a)]. 764 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(342(a,1),570(a,2,2))]. 765 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(19(a,1),763(a,1,1,2,1))]. 767 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(96,a,571,a),flip(a)]. 768 L((x * (y \ 1)) / x,y,z) = (x * ((z * y) \ z)) / x. [hyper(81,a,340,a(flip),b,571,a),flip(a)]. 769 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(81,a,112,a(flip),b,571,a),flip(a)]. 771 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(578(a,1),193(a,1,1))]. 772 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(269(a,1),578(a,1,1,1)),flip(a)]. 773 T(x,R(T(x,y),z,u)) = x. [hyper(173,a,579,a)]. 774 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(230,a,580,a)]. 775 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(96,a,580,a),flip(a)]. 777 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(81,a,580,a(flip),b,311,a(flip))]. 778 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(81,a,580,a(flip),b,122,a(flip))]. 780 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(585(a,1),226(a,1,1)),flip(b)]. 782 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(241(a,1),585(a,1,1,2)),flip(a)]. 784 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(666(a,2),585(a,1,1,2)),flip(a)]. 785 ((x \ y) * (y \ (x * z))) / (x \ y) = L(z / (x \ y),x \ y,x). [para(439(a,1),585(a,1,1,2))]. 786 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(33(a,2),586(a,1,1,2,1))]. 787 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(73(a,1),586(a,1,1,2,1))]. 788 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(586(a,1),226(a,1,1)),flip(b)]. 789 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(129(a,1),626(a,1,2,1,2)),flip(a)]. 790 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(128(a,1),626(a,1,2,1,2))]. 791 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(627(a,1),167(a,1,1,2))]. 792 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(627(a,1),168(a,1,2,2))]. 793 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(255,a,396,a(flip),b,665,a)]. 794 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(255,a,73,a(flip),b,690,a)]. 796 (1 / (1 / x)) * K(x,1 / x) = x. [para(191(a,2),794(a,1,2))]. 798 K(x,1 / x) \ (1 / x) = x \ 1. [para(73(a,1),736(a,2,1))]. 799 K(x,1 / x) * (x \ 1) = 1 / x. [para(798(a,1),19(a,1,2))]. 800 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(129(a,1),737(a,1,1,1)),flip(a)]. 801 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(767(a,2),226(a,1,1)),flip(b)]. 802 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(767(a,1),112(a,1,2))]. 803 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(343(a,1),767(a,2,1,2))]. 804 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(436(a,1),767(a,2,1,2))]. 805 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(437(a,1),767(a,2,1,2))]. 806 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(439(a,1),767(a,2,1,2))]. 807 R((x * y) / x,z,u) * x != w | x * R(y,z,u) = w. [para(775(a,2),226(a,1,1)),flip(b)]. 808 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(163(a,1),775(a,2,1,2))]. 809 ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. [para(775(a,1),122(a,1,1))]. 810 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(253(a,1),775(a,2,1,2))]. 812 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(471(a,1),775(a,2,1,2))]. 813 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(472(a,1),775(a,2,1,2))]. 814 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(775(a,1),230(a,1,1))]. 815 T(x * T(x \ 1,y),x \ 1) = (x \ 1) \ T(x \ 1,y). [para(793(a,1),129(a,1,1))]. 816 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(731(a,1),102(a,1,2))]. 817 R(x,y,(x * y) \ z) \ z != u | y * ((x * y) \ z) = u. [para(121(a,2),219(a,1,1)),flip(b)]. 818 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(255,a,404,a(flip),b,181,a(flip)),flip(a)]. 819 T(R(x,y,T(x,y)),x * y) = T(x,y). [para(181(a,1),166(a,1,1))]. 820 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(255,a,47,a,b,819,a(flip)),flip(a)]. 821 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(345(a,2),112(a,1,2))]. 822 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(255,a,114,a(flip),b,346,a)]. 823 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(339(a,1),346(a,1,1)),flip(a)]. 824 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(346(a,1),112(a,1,2))]. 826 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(19(a,1),823(a,1,1,1))]. 827 R(x / (y * x),z,u) * (y * x) = (R(1 / y,z,u) * y) * x. [para(353(a,1),122(a,1,1))]. 831 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(114(a,1),427(a,1,2,1))]. 832 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(241(a,1),427(a,1,2,1))]. 833 x * (y * T(y \ T(y,x),z)) = (x * y) * T(K(y,x),z). [para(666(a,2),427(a,1,2,1)),flip(a)]. 834 x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). [hyper(362,a,430,a),flip(a)]. 835 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [para(50(a,1),430(a,1,2))]. 836 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(345(a,2),430(a,1,2))]. 837 (x * y) * L((y * T(x,y)) \ y,z,u) = y * (T(x,y) * L(T(x,y) \ 1,z,u)). [para(346(a,1),430(a,1,2))]. 838 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(127(a,1),442(a,1,1,1)),flip(a)]. 839 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(442(a,2),224(a,1,2))]. 840 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(443(a,1),49(a,1,1)),flip(a)]. 841 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(443(a,1),50(a,1,1)),flip(a)]. 842 (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). [para(253(a,1),459(a,1,1,1)),flip(a)]. 843 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(820(a,1),462(a,1,1)),flip(a)]. 844 R(T((x * y) / x,z),x,y) * (x * y) = (x * y) * T(y,z). [para(475(a,1),397(a,1,1))]. 845 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(476(a,1),626(a,1,2,1,2)),flip(a)]. 846 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [para(476(a,1),737(a,2,1))]. 847 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(127(a,1),486(a,1,2))]. 848 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(437(a,1),493(a,1,2,1)),flip(a)]. 849 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(505(a,1),224(a,1,2))]. 851 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(527(a,2),419(a,1,2)),flip(a)]. 852 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(528(a,2),311(a,1,1))]. 854 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(546(a,1),112(a,1,2))]. 855 (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). [hyper(366,a,550,a)]. 856 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(255,a,496,a(flip),b,550,a(flip)),flip(a)]. 857 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(80,a,550,a(flip),b,192,a)]. 858 T((1 / x) * (x * y),x) = (1 / x) * (y * x). [para(18(a,1),856(a,1,2,1)),flip(a)]. 859 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(255,a,494,a(flip),b,552,a(flip)),flip(a)]. 860 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(80,a,552,a(flip),b,494,a(flip))]. 861 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(81,a,554,a(flip),b,194,a),flip(a)]. 862 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(81,a,555,a(flip),b,193,a)]. 864 ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). [para(196(a,1),562(a,1,1,2))]. 865 L(x,x \ y,x) * (x \ y) != z | (x \ y) * T(x,y) = z. [para(562(a,1),226(a,1,1)),flip(b)]. 866 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(162(a,1),565(a,2,1)),flip(a)]. 867 R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). [hyper(80,a,100,a(flip),b,573,a),flip(a)]. 868 (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. [para(573(a,1),24(a,1)),flip(a)]. 870 T(x / y,y / x) * y = (((y / x) \ 1) * (y / x)) * x. [para(591(a,1),300(a,1,1))]. 871 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(255,a,45,a,b,622,a)]. 872 L(((x * y) * x) / (x * y),y,x) = (y * x) / y. [hyper(23,a,571,a,b,623,a),flip(a)]. 873 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(70(a,1),624(a,1,1,1))]. 874 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(665(a,2),624(a,1))]. 875 T(x / (x / y),z) * (x / y) != u | (x / y) * T(y,z) = u. [para(21(a,1),628(a,1,1,1,1))]. 876 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(127(a,1),632(a,1,1))]. 877 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(81,a,633,a(flip),b,127,a)]. 878 x \ ((x / y) * ((y \ 1) * y)) = T(x \ (x / y),y). [hyper(255,a,527,a,b,639,a(flip))]. 880 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(342(a,1),671(a,1,2,1)),flip(a)]. 881 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [para(439(a,1),671(a,1,2,1)),flip(a)]. 882 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(255,a,47,a,b,681,a(flip)),flip(a)]. 884 ((x * T(y,x * y)) * y) / (x * y) = y. [hyper(23,a,722,a(flip),b,714,a)]. 885 (x * T(y,x * y)) * y = y * (x * y). [para(884(a,1),21(a,1,1)),flip(a)]. 886 (x * (y * x)) / x = y * T(x,y * x). [para(884(a,1),77(a,1,1,1))]. 887 T(x * T(y,x * y),y) = x * y. [hyper(172,a,885,a,b,xx)]. 890 T((x / y) * T(y,(x / y) * y),y) = x. [hyper(255,a,21,a(flip),b,887,a)]. 891 x \ ((y * (x * y)) / y) != z | T(y,x * y) = z. [para(886(a,2),222(a,1,2)),flip(b)]. 892 T((x / y) * T(y,x),y) = x. [para(21(a,1),890(a,1,1,2,2))]. 893 T(x * T(x \ y,y),x \ y) = y. [para(70(a,1),892(a,1,1,1))]. 894 (x / y) * T(y,x) = (y * x) / y. [para(892(a,1),167(a,1,1,2)),flip(a)]. 895 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [para(893(a,1),167(a,1,1,2))]. 896 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(172,a,894,a,b,19,a),flip(a)]. 897 ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). [hyper(81,a,894,a(flip),b,127,a)]. 899 T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z. [para(894(a,1),223(a,1,2))]. 900 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(347(a,1),894(a,1,1)),flip(a)]. 901 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(375(a,1),894(a,1,1)),flip(a)]. 902 T(x,y * T(y \ x,x)) = x. [para(895(a,1),207(a,1,2))]. 903 T(x,(x * y) * L(T(y \ 1,x),y,x)) = x. [para(344(a,1),902(a,1,2,2))]. 904 T(x,x * (y * T(y \ 1,x))) = x. [para(112(a,1),903(a,1,2))]. 905 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(21(a,1),782(a,2,1,2,1))]. 906 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(37(a,2),782(a,2,1,2))]. 907 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(177(a,1),782(a,2,1,2))]. 908 L(((x * y) * x) / (x * y),y,x) * y = y * x. [para(872(a,2),21(a,1,1))]. 909 (x \ (y * (z \ x))) * x = (T(y / z,x) * z) * (z \ x). [para(882(a,1),311(a,1,1))]. 910 (x * y) \ (x * ((((x * y) * x) / (x * y)) * y)) = x. [hyper(22,a,652,a,b,908,a(flip)),flip(a)]. 911 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [hyper(81,a,274,a(flip),b,399,a)]. 912 K((x * y) \ 1,x * y) \ ((((x * y) \ 1) * x) * y) != z | a((x * y) \ 1,x,y) = z. [para(189(a,2),636(a,1,1))]. 913 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [hyper(624,a,706,a),flip(a)]. 914 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(255,a,385,a,b,789,a(flip)),flip(a)]. 915 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(18(a,1),791(a,1,1,2,1,2))]. 916 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(791(a,1),226(a,1,1)),flip(b)]. 917 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(73(a,1),792(a,1,2,2,1,2))]. 918 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(123(a,1),800(a,1,1,1))]. 919 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(476(a,1),800(a,1,1)),flip(a)]. 920 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(172,a,843,a,b,xx)]. 922 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(661,a,848,a),flip(a)]. 923 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(87,a,848,a)]. 924 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(17(a,1),848(a,2,2,1))]. 925 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(19(a,1),848(a,2,2,1))]. 926 T(1 / (x \ 1),y) * (x \ 1) = x \ T(x,y). [hyper(401,a,924,a)]. 927 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(255,a,398,a(flip),b,924,a(flip)),flip(a)]. 928 (x / y) \ T(x / y,y) = (y \ x) * ((x / y) \ 1). [para(129(a,1),927(a,1,1)),flip(a)]. 929 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(927(a,1),178(a,1,2,2))]. 930 (1 / x) \ T((1 / x) * y,z) != u * w | u \ (x * T(x \ y,z)) = w. [para(855(a,1),309(a,1,2))]. 931 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(19(a,1),857(a,1,2,1)),flip(a)]. 933 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(21(a,1),860(a,1,2,1))]. 934 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(628,a,861,a),flip(a)]. 935 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(624,a,861,a)]. 936 (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). [hyper(80,a,861,a(flip),b,396,a(flip))]. 937 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [para(16(a,1),861(a,2,1,1))]. 938 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(129(a,1),861(a,1,1)),flip(a)]. 939 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(624,a,937,a)]. 940 (1 / x) * T(x,y) = T(x,y) / x. [hyper(255,a,399,a(flip),b,937,a(flip)),flip(a)]. 941 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(81,a,937,a(flip),b,399,a(flip))]. 942 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(80,a,937,a(flip),b,399,a(flip))]. 943 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(937(a,1),624(a,1))]. 944 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(172,a,940,a,b,19,a),flip(a)]. 945 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(255,a,274,a(flip),b,940,a(flip))]. 946 T(x / y,y) / (x / y) = (1 / (x / y)) * (y \ x). [para(129(a,1),940(a,1,2)),flip(a)]. 948 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(940(a,1),618(a,1,2))]. 949 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(608,a,944,a)]. 950 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(128(a,1),945(a,1,1)),flip(a)]. 951 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(255,a,396,a(flip),b,862,a)]. 952 (x / y) * ((y \ 1) * y) = x * T(x \ (x / y),y). [para(878(a,1),19(a,1,2)),flip(a)]. 953 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(255,a,387,a,b,880,a),flip(a)]. 954 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(80,a,387,a,b,880,a),flip(a)]. 955 x * ((((x * y) * x) / (x * y)) * y) = (x * y) * x. [para(910(a,1),19(a,1,2)),flip(a)]. 956 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(189(a,2),913(a,1,1))]. 957 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [para(922(a,1),19(a,1,2)),flip(a)]. 958 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(923(a,1),220(a,1,2)),flip(b)]. 959 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(81,a,925,a(flip),b,396,a)]. 960 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [para(129(a,1),928(a,1,2)),flip(a)]. 961 ((x * y) / x) \ (x \ (x * y)) = y * (((x * y) / x) \ 1). [para(18(a,1),960(a,1,1)),flip(a)]. 962 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(960(a,1),24(a,1))]. 963 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(931(a,1),388(a,1,2))]. 965 (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). [para(21(a,1),936(a,1,2,1,1))]. 966 (1 / x) * T((1 / x) \ y,z) != u | T(y * x,z) / x = u. [para(936(a,1),220(a,1,2)),flip(b)]. 967 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(21(a,1),938(a,1,1,1)),flip(a)]. 968 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [para(129(a,1),946(a,1,1)),flip(a)]. 969 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(172,a,968,a,b,19,a),flip(a)]. 970 ((x / y) \ x) / (x / (x / y)) = (1 / (x / (x / y))) * y. [para(73(a,1),968(a,1,2)),flip(a)]. 972 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(255,a,848,a(flip),b,951,a)]. 973 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(951(a,1),21(a,1,1))]. 974 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(189(a,2),952(a,1,2))]. 975 T(x,x * K(y,x)) = x. [para(953(a,2),904(a,1,2,2))]. 977 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z. [para(954(a,2),220(a,1,2)),flip(b)]. 978 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(162(a,2),954(a,1,1,1))]. 979 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). [para(954(a,1),793(a,1,1))]. 980 (((x * y) * x) / (x * y)) * y = T(x * y,x). [hyper(173,a,955,a),flip(a)]. 981 ((x * y) * x) / (x * y) = T(x * y,x) / y. [hyper(96,a,980,a),flip(a)]. 982 T(T(x * y,x) / y,x * y) = x. [para(981(a,1),166(a,1,1))]. 983 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(981(a,1),818(a,1,1))]. 984 T(T(x,x / y) / y,(x / y) * y) = x / y. [para(21(a,1),982(a,1,1,1,1))]. 985 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(193(a,1),982(a,1,1,1,1))]. 986 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(255,a,129,a(flip),b,983,a(flip)),flip(a)]. 987 x * R(y,x,T(y,x)) = T(y * x,y). [para(983(a,1),171(a,1,2))]. 988 T(T(x,x / y) / y,x) = x / y. [para(21(a,1),984(a,1,2))]. 989 T(x,x / y) / y = (x * (x / y)) / x. [para(988(a,1),167(a,1,1,2)),flip(a)]. 990 T(x \ T(y,y / x),y) = T(y / x,x). [para(988(a,1),185(a,1,1)),flip(a)]. 991 ((x * (x / y)) / x) * y = T(x,x / y). [para(989(a,1),21(a,1,1))]. 992 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(989(a,1),226(a,1,1)),flip(b)]. 993 T(x \ T(y,y / x),y) = x \ y. [hyper(255,a,129,a(flip),b,990,a)]. 994 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(70(a,1),993(a,1,1,2,2))]. 995 x \ T(y,y / x) = (y * (x \ y)) / y. [para(993(a,1),167(a,1,1,2)),flip(a)]. 996 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(255,a,789,a(flip),b,991,a(flip)),flip(a)]. 997 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(995(a,1),220(a,1,2)),flip(b)]. 998 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(73(a,1),996(a,1,2,1,2))]. 999 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(782(a,2),996(a,1,2))]. 1000 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(167(a,1),998(a,1,2)),flip(a)]. 1002 K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(967(a,1),106(a,1,1)),flip(a)]. 1003 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(940(a,1),295(a,1,2,2))]. 1004 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(114(a,1),428(a,1,2,1))]. 1005 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(241(a,1),428(a,1,2,1))]. 1006 x * (T(y,x) * L(z,x,y)) = y * (x * L(z,T(y,x),x)). [hyper(255,a,430,a(flip),b,429,a(flip)),flip(a)]. 1007 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(114(a,1),429(a,1,2,1))]. 1008 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(241(a,1),429(a,1,2,1))]. 1009 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(255,a,97,a(flip),b,433,a)]. 1010 K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(505(a,1),433(a,1,2))]. 1011 L(x / (y * x),z,u) * (y * x) = (L(1 / y,z,u) * y) * x. [para(163(a,1),460(a,1,1,1))]. 1012 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(123(a,1),460(a,1,1,1))]. 1013 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(253(a,1),460(a,1,1,1)),flip(a)]. 1014 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(123(a,1),461(a,1,1,1))]. 1015 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(927(a,1),487(a,1,1,1))]. 1016 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(491(a,2),24(a,1))]. 1017 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(437(a,1),491(a,1,2,1)),flip(a)]. 1018 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(437(a,1),492(a,1,2,1)),flip(a)]. 1019 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(494(a,1),492(a,1,2,1))]. 1020 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(339(a,1),495(a,1,2,1))]. 1021 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(436(a,1),495(a,1,2,1))]. 1022 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(662(a,1),495(a,1,2,1))]. 1023 L(x \ 1,y,z) / (x \ 1) = L(1 / x,y,z) * x. [para(348(a,1),498(a,1,1,1))]. 1024 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(472(a,1),498(a,1,1,1))]. 1025 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [hyper(255,a,762,a(flip),b,1023,a)]. 1026 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(1025(a,1),21(a,1,1))]. 1027 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [para(1025(a,1),73(a,1,1))]. 1028 ((x * y) \ x) / (y \ 1) = y * ((x * y) \ x). [para(162(a,1),1025(a,1,1))]. 1029 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [para(1028(a,1),21(a,1,1))]. 1030 ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). [para(1029(a,1),104(a,1,1))]. 1032 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1026(a,1),31(a,2,1)),flip(a)]. 1033 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(19(a,1),1027(a,1,1,2,1))]. 1034 R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. [para(501(a,2),25(a,1))]. 1035 R(1 / (1 / x),y,z) * (1 / x) = R(x / 1,y,z) / x. [para(351(a,1),501(a,1,1,1)),flip(a)]. 1036 L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). [para(352(a,2),502(a,1,1,1))]. 1037 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(725(a,1),502(a,1,1,1))]. 1038 T(L(x,y,z),1 / x) / x = L(x,y,z) * (1 / x). [para(45(a,1),1037(a,1,1))]. 1039 (1 / x) \ (L(x,y,z) / x) = L(x,y,z). [hyper(23,a,967,a,b,1038,a(flip)),flip(a)]. 1040 (1 / x) * L(x,y,z) = L(x,y,z) / x. [para(1039(a,1),19(a,1,2))]. 1041 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [para(1039(a,1),70(a,1,2))]. 1042 L(x,y,z) \ (L(x,y,z) / x) = T(1 / x,L(x,y,z)). [hyper(172,a,1040,a,b,19,a),flip(a)]. 1044 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1040(a,1),114(a,2,1))]. 1045 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(1040(a,1),618(a,1,2))]. 1047 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(506(a,1),433(a,1,2))]. 1048 (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. [para(507(a,1),224(a,1,2))]. 1049 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(507(a,1),433(a,1,2))]. 1050 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(366,a,551,a)]. 1051 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(677(a,1),418(a,1,2)),flip(a)]. 1052 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(682(a,1),300(a,1,1)),flip(a)]. 1053 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(768(a,1),112(a,1,2))]. 1054 (x * y) * ((z * ((x * y) \ x)) / z) != u | x * (y * ((z * (y \ 1)) / z)) = u. [para(768(a,1),224(a,1,2))]. 1055 (x * y) * L((x * (y \ 1)) / x,y,x) = T(x,x / (x * y)). [para(768(a,2),996(a,1,2))]. 1056 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(350(a,1),777(a,1,1,2))]. 1057 L(T(x / y,z),u,w) * y != v5 | y * L(T(y \ x,z),u,w) = v5. [para(400(a,1),801(a,1,1,1))]. 1059 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(808(a,1),122(a,1,1))]. 1061 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(18(a,1),919(a,1,1,1)),flip(a)]. 1062 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(978(a,2),377(a,1,2)),flip(a)]. 1063 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(224,a,999,a)]. 1064 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(1009(a,1),24(a,1)),flip(a)]. 1068 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(545(a,1),569(a,1,2))]. 1069 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(22,a,184,a,b,581,a),flip(a)]. 1070 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(80,a,1069,a(flip),b,312,a),flip(a)]. 1072 (x * y) * T((x * y) \ y,z) = (T(1 / x,z) * x) * y. [hyper(624,a,659,a)]. 1073 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(361,a,702,a),flip(a)]. 1074 T(x,y) * (x * z) = x * (T(x,y) * z). [para(182(a,1),1073(a,1,2)),flip(a)]. 1075 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(533,a,1074,a)]. 1076 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(530,a,1074,a),flip(a)]. 1077 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(514,a,1074,a)]. 1078 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(310,a,1074,a),flip(a)]. 1079 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(255,a,97,a(flip),b,1074,a)]. 1080 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(172,a,1074,a,b,242,a)]. 1081 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(80,a,97,a(flip),b,1074,a)]. 1082 x * (T(x,y) \ (x \ z)) = T(x,y) \ z. [hyper(80,a,66,a(flip),b,1074,a),flip(a)]. 1083 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(80,a,64,a(flip),b,1074,a),flip(a)]. 1084 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(21(a,1),1074(a,1,2)),flip(a)]. 1086 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(127(a,1),1074(a,1,2)),flip(a)]. 1087 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(129(a,1),1074(a,1,1)),flip(a)]. 1089 (T(x,y) \ 1) \ (T(x,y) \ x) = T(x,T(x,y) \ 1). [hyper(172,a,1083,a,b,19,a),flip(a)]. 1090 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(96,a,1083,a)]. 1091 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(87,a,1083,a)]. 1092 T(x / y,y) \ (x / y) = (x / y) * ((y \ x) \ 1). [para(129(a,1),1083(a,1,2,1)),flip(a)]. 1093 x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z. [para(1083(a,1),222(a,1,2)),flip(b)]. 1095 L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). [para(1083(a,1),192(a,1,2)),flip(a)]. 1096 T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). [para(1083(a,1),858(a,1,1,2))]. 1097 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(1090(a,1),959(a,2,1))]. 1098 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(87,a,1076,a)]. 1099 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(1077(a,1),89(a,1,1)),flip(a),flip(b)]. 1100 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(355,a,1079,a),flip(a)]. 1101 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(22,a,418,a,b,1079,a)]. 1102 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(22,a,264,a,b,1079,a)]. 1103 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(1079(a,1),222(a,1,2)),flip(b)]. 1104 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(129(a,1),1100(a,1,2,1))]. 1105 T(x,x \ y) \ (x * z) = x * (((x \ y) \ y) \ z). [para(128(a,1),1081(a,2,2,1))]. 1106 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(1098(a,2),220(a,1,2)),flip(b)]. 1107 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(1098(a,1),297(a,1,2))]. 1108 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(172,a,724,a,b,1086,a)]. 1109 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(22,a,418,a,b,1086,a)]. 1111 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(1097(a,1),21(a,1,1))]. 1112 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(129(a,1),1104(a,2,2))]. 1113 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(18(a,1),1112(a,1,2,1))]. 1114 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(129(a,1),1111(a,1,1)),flip(a)]. 1115 T(x,y) = ((x * y) / x) * (y \ x). [para(18(a,1),1113(a,2,2)),flip(a)]. 1116 T(x,y) / (y \ x) = (x * y) / x. [hyper(81,a,1115,a,b,xx)]. 1117 ((x * y) / x) \ T(x,y) = y \ x. [hyper(80,a,1115,a,b,xx)]. 1118 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(21(a,1),1115(a,2,1,1)),flip(a)]. 1120 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(354(a,1),1115(a,2,2)),flip(a)]. 1121 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(379(a,1),1115(a,2,2)),flip(a)]. 1122 T(x * y,y) / T(x,y) = ((x * y) * y) / (x * y). [para(37(a,2),1116(a,1,2))]. 1125 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(81,a,166,a(flip),b,1118,a),flip(a)]. 1127 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(18(a,1),1106(a,1,2,2))]. 1128 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(1100(a,1),1106(a,1))]. 1129 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(1100(a,1),1127(a,1))]. 1130 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(396(a,1),1084(a,1,2))]. 1131 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [para(129(a,1),1092(a,1,1)),flip(a)]. 1132 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(255,a,950,a(flip),b,1131,a(flip)),flip(a)]. 1133 (x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1). [para(18(a,1),1131(a,1,2,1)),flip(a)]. 1134 ((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1). [para(73(a,1),1131(a,1,2,1)),flip(a)]. 1135 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(944(a,1),1102(a,1,2))]. 1137 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(1130(a,2),24(a,2))]. 1138 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(624,a,705,a)]. 1139 (1 / x) \ (((1 / x) \ 1) \ T((1 / x) \ 1,y)) = x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1). [hyper(80,a,815,a(flip),b,855,a)]. 1140 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(87,a,851,a)]. 1141 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(624,a,852,a),flip(a)]. 1142 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(408,a,866,a)]. 1143 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(81,a,1142,a,b,396,a)]. 1144 (((x / y) \ 1) * (x / y)) * y = x * T(x \ y,x / y). [hyper(624,a,870,a),flip(a)]. 1145 (x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x). [para(396(a,1),909(a,2,1))]. 1146 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [para(18(a,1),961(a,1,2)),flip(a)]. 1147 x \ (((y * x) / y) \ x) = ((y * x) / y) \ 1. [hyper(87,a,1146,a)]. 1148 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(407(a,1),1146(a,1,2,1)),flip(a)]. 1149 (1 / (x / (x / y))) * y = y / (x / (x / y)). [para(73(a,1),970(a,1,1)),flip(a)]. 1150 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(17(a,1),1017(a,2,2,1))]. 1151 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(241(a,1),1017(a,1,2)),flip(a)]. 1152 T(x,y) \ L(T(x,y) * (T(x,y) \ x),z,u) = (T(x,y) \ 1) * L(T(x,T(x,y) \ 1),z,u). [para(1089(a,1),1017(a,1,2,1)),flip(a)]. 1153 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(255,a,572,a(flip),b,1150,a(flip)),flip(a)]. 1154 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(80,a,1150,a(flip),b,572,a(flip))]. 1155 L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [para(1153(a,1),593(a,1,1,2)),flip(a)]. 1156 x \ T(x * (x \ L(x,y,z)),u) = T(L(x,y,z),u) * (x \ 1). [para(1153(a,1),922(a,1,2,1,2))]. 1157 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(342(a,1),1154(a,1,1))]. 1158 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(17(a,1),1018(a,2,2,1))]. 1159 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(255,a,581,a(flip),b,1158,a(flip)),flip(a)]. 1160 (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). [hyper(81,a,1158,a(flip),b,581,a(flip))]. 1161 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(80,a,1158,a(flip),b,581,a(flip))]. 1162 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(81,a,1159,a(flip),b,184,a)]. 1163 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(1159(a,1),104(a,1,1))]. 1164 R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [para(1159(a,1),593(a,1,1,2)),flip(a)]. 1165 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1159(a,1),627(a,2,1))]. 1167 x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). [para(19(a,1),1021(a,1,2,1)),flip(a)]. 1168 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(255,a,183,a(flip),b,1022,a)]. 1169 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(342(a,1),1168(a,1,2)),flip(a)]. 1170 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(255,a,570,a(flip),b,1024,a)]. 1171 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [para(68(a,1),1035(a,2,1,1))]. 1172 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(788,a,1171,a)]. 1173 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(255,a,582,a(flip),b,1171,a(flip)),flip(a)]. 1174 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [hyper(302,a,1173,a),flip(a)]. 1175 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(172,a,1173,a,b,19,a),flip(a)]. 1176 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1173(a,1),173(a,2)),flip(a)]. 1177 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1173(a,1),114(a,2,1))]. 1178 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1175(a,1),642(a,1,1,2))]. 1179 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(17(a,1),1050(a,2,1))]. 1180 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(87,a,1179,a)]. 1181 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(80,a,351,a(flip),b,1179,a),flip(a)]. 1182 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(22,a,644,a,b,1179,a)]. 1184 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(593(a,2),1179(a,1,2))]. 1185 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(255,a,163,a(flip),b,1184,a)]. 1186 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(172,a,1185,a,b,19,a),flip(a)]. 1188 x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. [para(1180(a,1),646(a,1))]. 1189 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(255,a,789,a(flip),b,1056,a)]. 1190 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(396(a,1),1072(a,2,1))]. 1191 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(129(a,1),1087(a,1,2,1))]. 1192 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(166(a,1),1087(a,1,2,1)),flip(a)]. 1193 (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). [hyper(533,a,1191,a)]. 1194 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [para(18(a,1),1133(a,1,1)),flip(a)]. 1195 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [para(73(a,1),1134(a,1,1)),flip(a)]. 1196 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(255,a,968,a(flip),b,1195,a(flip)),flip(a)]. 1197 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [hyper(255,a,656,a(flip),b,1138,a(flip))]. 1198 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(70(a,1),1197(a,1,1,1,2)),flip(a)]. 1199 ((x \ R(1 / y,y,x)) * x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(163(a,2),1197(a,1,1,1,2))]. 1200 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(669,a,1140,a)]. 1201 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(80,a,388,a(flip),b,1140,a(flip))]. 1203 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(255,a,939,a(flip),b,1200,a)]. 1204 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(255,a,924,a(flip),b,1200,a)]. 1205 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(81,a,1200,a,b,396,a)]. 1206 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(944(a,1),1200(a,1,1))]. 1207 T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x). [para(1200(a,2),1086(a,1,2)),flip(a)]. 1209 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1116(a,1),1201(a,1,2,1,2))]. 1210 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(1203(a,2),21(a,1,1)),flip(a)]. 1211 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(587(a,1),1203(a,2,1))]. 1212 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(969(a,1),1203(a,1,1))]. 1213 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(129(a,1),1204(a,2,2))]. 1214 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(166(a,1),1204(a,2,2))]. 1215 K(R(x \ 1,y,z) \ (x * R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(1174(a,1),1204(a,1,1,2))]. 1217 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(1161(a,1),1213(a,2,2))]. 1218 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(396(a,1),1141(a,1,1))]. 1219 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(926(a,1),1141(a,1,1))]. 1220 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(189(a,2),1144(a,1,1))]. 1221 (x \ (y \ x)) * x = (y * T(y \ 1,x)) * (y \ x). [para(16(a,1),1145(a,1,1,2))]. 1222 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [hyper(172,a,1221,a(flip),b,263,a)]. 1224 T(x * T(x \ 1,L(x,y,z)),x \ L(x,y,z)) = K(x \ 1,L(x,y,z)). [para(1154(a,1),1222(a,2,1))]. 1225 L(x \ ((1 / x) \ y),z,u) = x \ ((1 / x) \ L(y,z,u)). [hyper(87,a,1167,a),flip(a)]. 1226 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(73(a,1),1170(a,1,1,1,2))]. 1227 T(x,x * T(x \ 1,y)) = x. [hyper(172,a,656,a(flip),b,1190,a(flip))]. 1228 T(x,(x \ 1) * x) = x. [para(127(a,1),1227(a,1,2))]. 1229 T(x,K(x \ 1,x)) = x. [para(289(a,1),1227(a,1,2))]. 1230 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1227(a,1),721(a,1,1))]. 1231 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(398(a,1),1227(a,1,2))]. 1232 T(x \ 1,x \ T(x,y)) = x \ 1. [para(924(a,1),1227(a,1,2))]. 1233 T(1 / x,T(x,y) / x) = 1 / x. [para(939(a,1),1227(a,1,2))]. 1234 R(x,x \ 1,x) = T(x,x \ 1). [para(1228(a,1),718(a,1,1))]. 1235 K(x \ 1,x) * x = x * K(x \ 1,x). [para(1229(a,1),127(a,1,2))]. 1236 R(x,x \ 1,x) = (x \ 1) \ 1. [hyper(255,a,128,a(flip),b,1234,a)]. 1237 T(x,x \ 1) \ x = (x \ 1) * x. [para(1234(a,1),379(a,1,1))]. 1238 ((x \ 1) \ 1) \ x = (x \ 1) * x. [para(1236(a,1),379(a,1,1))]. 1239 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(40,a,1232,a)]. 1240 (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). [para(1232(a,1),127(a,1,2))]. 1241 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1233(a,1),404(a,1,1,2)),flip(a)]. 1242 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(172,a,1237,a(flip),b,1083,a),flip(a)]. 1244 ((x \ 1) \ 1) \ x = K(x \ 1,x). [hyper(255,a,189,a,b,1238,a)]. 1245 ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. [para(1238(a,2),315(a,1))]. 1246 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [hyper(360,a,1242,a)]. 1247 1 / T(x \ 1,x) = T(x,x \ 1). [para(1242(a,1),70(a,1,2))]. 1248 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(128(a,1),1242(a,1,1)),flip(a)]. 1249 T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. [para(564(a,1),1242(a,1,1)),flip(a)]. 1250 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1244(a,1),19(a,1,2))]. 1251 T(x \ 1,(x \ 1) \ 1) = T(x \ 1,x). [hyper(255,a,128,a,b,1248,a),flip(a)]. 1252 T((x \ 1) \ 1,x \ 1) = T(x \ 1,x) \ 1. [para(1248(a,2),1248(a,2,1))]. 1253 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1231(a,1),718(a,1,1))]. 1254 (x * K(x \ 1,x)) / (x * x) = R(x \ 1,x,x). [para(1235(a,1),293(a,1,1))]. 1255 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1239(a,1),667(a,1,1)),flip(a)]. 1256 T(x,1 / x) = (x \ 1) \ 1. [para(73(a,1),1249(a,1,1))]. 1257 T(x,1 / x) = T(x,x \ 1). [hyper(255,a,128,a,b,1256,a)]. 1258 R(x,1 / x,x) = (x \ 1) \ 1. [hyper(255,a,725,a,b,1256,a(flip)),flip(a)]. 1259 ((1 / x) * ((x \ 1) \ 1)) / (1 / x) = x. [para(1256(a,1),167(a,1,1,2))]. 1260 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1256(a,1),726(a,1,1))]. 1261 a(x,1 / x,x) = x \ ((x \ 1) \ 1). [para(1256(a,1),728(a,1,2)),flip(a)]. 1262 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1256(a,1),1037(a,1,1,1))]. 1263 L(T(x,x \ 1),1 / x,x) = T(x,x * (1 / x)). [para(1257(a,1),542(a,1,1))]. 1264 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1257(a,1),404(a,1,1,2))]. 1265 T(x,x \ 1) / x = K(x,1 / x). [para(1257(a,1),726(a,1,1))]. 1266 x \ T(x,x \ 1) = a(x,1 / x,x). [para(1257(a,1),728(a,1,2))]. 1267 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1257(a,1),727(a,2,1))]. 1268 K(x,1 / x) * x = (x \ 1) \ 1. [hyper(255,a,503,a,b,1258,a(flip)),flip(a)]. 1269 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(255,a,1132,a(flip),b,1260,a(flip)),flip(a)]. 1270 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(73(a,1),1260(a,1,1,1)),flip(a)]. 1271 (x \ 1) * K(x,1 / x) = 1 / x. [para(1269(a,1),19(a,1,2))]. 1272 (1 / x) / K(x,1 / x) = x \ 1. [para(1269(a,1),70(a,1,2))]. 1273 R(1 / x,x,1 / x) = x \ 1. [hyper(612,a,1272,a)]. 1274 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1273(a,1),353(a,1,1)),flip(a)]. 1275 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1274(a,1),149(a,1,1))]. 1276 L(T(x,x \ 1),1 / x,x) = T(x,K(x,1 / x)). [para(191(a,2),1263(a,2,2))]. 1277 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1267(a,1),648(a,1,2))]. 1278 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(73(a,1),1262(a,1,1,1,1)),flip(a)]. 1279 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1262(a,1),129(a,1,1))]. 1280 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(620,a,1264,a),flip(a)]. 1281 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(167(a,1),1280(a,1,1)),flip(a)]. 1282 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(255,a,666,a,b,1255,a),flip(a)]. 1283 T(K(x,y),x \ 1) = K(x,y). [para(31(a,2),1282(a,2,1)),flip(a)]. 1284 T(x \ 1,K(x,y)) = x \ 1. [hyper(40,a,1283,a)]. 1285 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [para(1283(a,1),127(a,1,2)),flip(a)]. 1286 (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. [para(1283(a,1),225(a,1,2))]. 1287 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(1284(a,1),344(a,2,1))]. 1288 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1284(a,1),398(a,1,2)),flip(a)]. 1289 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. [para(1214(a,2),128(a,1,2))]. 1290 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(407(a,1),1214(a,1,1,2,2,1))]. 1291 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1218(a,1),304(a,1,1)),flip(b)]. 1292 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(255,a,394,a(flip),b,1220,a)]. 1293 L((x \ 1) \ ((1 / (x \ 1)) \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(70(a,1),1225(a,2,2,1))]. 1294 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(167(a,1),1281(a,1,1)),flip(a)]. 1295 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(255,a,19,a(flip),b,1288,a)]. 1297 T(x,K(x \ 1,y)) = x. [hyper(94,a,1295,a)]. 1298 T(1 / x,K(x,y)) = 1 / x. [para(73(a,1),1297(a,1,2,1))]. 1299 K(x \ 1,y) * x = x * K(x \ 1,y). [para(1297(a,1),127(a,1,2))]. 1300 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1298(a,1),682(a,1,1)),flip(a)]. 1301 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(255,a,428,a(flip),b,583,a(flip)),flip(a)]. 1302 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(184(a,1),1301(a,1,2)),flip(a)]. 1303 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(533,a,1302,a)]. 1304 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(514,a,1302,a)]. 1305 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(310,a,1302,a),flip(a)]. 1306 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(87,a,1302,a)]. 1307 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(80,a,97,a(flip),b,1302,a)]. 1308 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(80,a,64,a(flip),b,1302,a),flip(a)]. 1309 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [hyper(172,a,1302,a(flip),b,242,a),flip(a)]. 1310 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(127(a,1),1302(a,1,2)),flip(a)]. 1312 (R(x,y,z) \ 1) * T(x,R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(229,a,1308,a)]. 1313 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1308(a,1),192(a,1,2)),flip(a)]. 1314 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1308(a,1),922(a,1,2,1,2))]. 1315 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(122(a,1),1303(a,1,2)),flip(a)]. 1316 x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. [para(1304(a,1),219(a,1,1)),flip(b)]. 1317 R(x,y,x) * (x \ (y * x)) = T(x * y,x). [hyper(172,a,122,a(flip),b,1305,a),flip(a)]. 1318 R(x,y,x) * T(y,x) = T(x * y,x). [para(37(a,2),1317(a,1,2))]. 1319 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(87,a,1318,a)]. 1320 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(96,a,1315,a),flip(a)]. 1322 (L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * y. [para(474(a,1),654(a,1,1,1)),flip(a)]. 1323 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(350(a,1),655(a,1,1,1))]. 1324 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(439(a,1),673(a,1,2,1)),flip(a)]. 1325 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(678(a,1),418(a,1,2)),flip(a)]. 1326 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(683(a,1),300(a,1,1)),flip(a)]. 1327 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(255,a,460,a(flip),b,719,a(flip))]. 1328 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(255,a,461,a(flip),b,720,a(flip))]. 1330 (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). [para(112(a,1),774(a,1,1,1,1))]. 1331 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(114(a,1),802(a,1,2,1,2))]. 1332 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(241(a,1),802(a,1,2,1,2))]. 1333 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(803(a,1),419(a,1,2)),flip(a)]. 1334 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(80,a,804,a(flip),b,192,a)]. 1335 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(80,a,805,a(flip),b,190,a),flip(a)]. 1336 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(81,a,812,a(flip),b,194,a),flip(a)]. 1337 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(838(a,1),430(a,1,2))]. 1338 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(230,a,844,a)]. 1339 (x * T(y,z)) * y = (x * y) * T(y,z). [para(397(a,1),1338(a,1,1))]. 1340 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(535,a,1339,a)]. 1341 (1 / T(x,y)) * x = x / T(x,y). [hyper(371,a,1339,a),flip(a)]. 1342 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(308,a,1339,a),flip(a)]. 1343 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(255,a,98,a(flip),b,1339,a)]. 1344 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(87,a,1339,a)]. 1345 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(81,a,98,a(flip),b,1339,a)]. 1346 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(81,a,78,a(flip),b,1339,a),flip(a)]. 1347 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [hyper(80,a,98,a(flip),b,1339,a)]. 1348 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(129(a,1),1339(a,1,1,2)),flip(a)]. 1349 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(87,a,1341,a)]. 1350 (1 / T(x,y)) * x != z | x / T(x,y) = z. [para(1349(a,1),220(a,1,2)),flip(b)]. 1351 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1349(a,1),965(a,2,1))]. 1352 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1349(a,1),967(a,1,1)),flip(a)]. 1353 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1340(a,2),173(a,2)),flip(a)]. 1354 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1000(a,2),1342(a,1,1))]. 1355 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1344(a,1),1061(a,1,1)),flip(a)]. 1356 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(547(a,1),1355(a,1,1,2))]. 1357 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [para(1351(a,1),70(a,1,2))]. 1358 T((T(x,y) / T(x,z)) * T(x,z),u) / T(x,z) = (1 / T(x,z)) * T(T(x,y),u). [para(1351(a,1),935(a,1,2,1)),flip(a)]. 1359 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1354(a,1),1086(a,1,2)),flip(a)]. 1360 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1294(a,1),1352(a,1,1))]. 1361 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(96,a,1359,a),flip(a)]. 1362 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1360(a,1),1346(a,1,1,1))]. 1363 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(255,a,1000,a(flip),b,1361,a(flip))]. 1364 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(759,a,1363,a)]. 1365 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(129(a,1),1348(a,1,2))]. 1366 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(166(a,1),1348(a,1,2)),flip(a)]. 1367 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(535,a,1365,a)]. 1368 ((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y). [hyper(534,a,1365,a),flip(a)]. 1369 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(81,a,98,a(flip),b,1365,a)]. 1370 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [para(846(a,1),573(a,1,2))]. 1371 T(x,y) / x != z | (1 / x) * T(x,y) = z. [para(937(a,1),875(a,1))]. 1372 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(255,a,670,a(flip),b,876,a)]. 1373 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(1372(a,1),73(a,1,1))]. 1375 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(255,a,404,a(flip),b,906,a)]. 1376 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(1075(a,1),907(a,1,1,1))]. 1378 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(224,a,1055,a)]. 1379 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(80,a,1055,a(flip),b,112,a(flip))]. 1381 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(81,a,1379,a(flip),b,927,a)]. 1382 (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). [para(1159(a,1),1381(a,1,1,2,1))]. 1384 T((1 * x) / y,K(y / x,z)) = x / y. [hyper(255,a,351,a(flip),b,1300,a)]. 1385 T(x / y,K(y / x,z)) = x / y. [para(16(a,1),1384(a,1,1,1))]. 1386 T(x \ y,K(x / y,z)) = T(y / x,x). [para(1385(a,1),185(a,1,1)),flip(a)]. 1387 T(x \ y,K(x / y,z)) = x \ y. [hyper(255,a,129,a(flip),b,1386,a)]. 1388 (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). [para(122(a,1),424(a,1,2))]. 1389 (x * y) \ ((z * y) * R(x / z,z,y)) = K(z * y,R(x / z,z,y)). [para(21(a,1),456(a,1,1,1))]. 1390 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(619(a,2),24(a,1))]. 1391 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(114(a,1),739(a,1,2,1))]. 1392 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(255,a,1194,a(flip),b,790,a)]. 1394 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(112(a,1),821(a,1,1))]. 1396 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(826(a,1),1153(a,1,1)),flip(a)]. 1397 (x * y) * R((x * y) \ y,z,u) = (R(1 / x,z,u) * x) * y. [hyper(788,a,827,a)]. 1398 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [hyper(255,a,1138,a(flip),b,831,a(flip)),flip(a)]. 1399 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(19(a,1),1398(a,1,1,1,2,1)),flip(a)]. 1400 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(848(a,1),1399(a,1,2)),flip(a)]. 1401 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(935(a,1),1399(a,1,2)),flip(a)]. 1402 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(956(a,2),1399(a,1,2)),flip(a)]. 1403 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(67(a,1),1402(a,1,1,1,2)),flip(a)]. 1405 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(189(a,2),1403(a,2,1))]. 1406 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(18(a,1),1405(a,1,2,2)),flip(a)]. 1407 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(37(a,2),1405(a,1,2,2))]. 1408 K(x \ 1,x) * y != x * (K(x \ 1,x) * z) | x * z = y. [para(1406(a,1),24(a,1)),flip(a)]. 1409 x * (K(x \ 1,x) * (x \ y)) != z | K(x \ 1,x) * y = z. [para(1406(a,1),310(a,1))]. 1410 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1406(a,1),179(a,1,2))]. 1411 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(255,a,1190,a(flip),b,832,a(flip))]. 1412 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(127(a,1),1411(a,1,2)),flip(a)]. 1413 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(229,a,1412,a)]. 1414 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(96,a,1412,a)]. 1415 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1161(a,1),1414(a,1,1,2,1))]. 1416 (T((x / y) / z,u) * z) * y = (z * y) * T((z * y) \ x,u). [hyper(255,a,396,a(flip),b,842,a)]. 1417 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(362,a,854,a),flip(a)]. 1418 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(183(a,1),1417(a,1,2)),flip(a)]. 1419 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(533,a,1418,a)]. 1420 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(530,a,1418,a),flip(a)]. 1421 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(310,a,1418,a),flip(a)]. 1422 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(87,a,1418,a)]. 1423 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(80,a,97,a(flip),b,1418,a)]. 1424 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(80,a,64,a(flip),b,1418,a),flip(a)]. 1425 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). [hyper(172,a,1418,a(flip),b,242,a),flip(a)]. 1426 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(80,a,1418,a(flip),b,104,a)]. 1427 x * (L(x,y,z) * T(u,x)) = L(x,y,z) * (u * x). [para(127(a,1),1418(a,1,2)),flip(a)]. 1429 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(87,a,1424,a)]. 1430 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1424(a,1),31(a,2,1)),flip(a)]. 1431 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1424(a,1),192(a,1,2)),flip(a)]. 1432 T((1 / x) * (L(x,y,z) \ x),x) = (1 / x) * ((L(x,y,z) \ 1) * x). [para(1424(a,1),858(a,1,1,2))]. 1433 T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(1424(a,2),1222(a,1,2))]. 1434 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(80,a,37,a,b,1420,a),flip(a)]. 1437 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1422(a,1),1375(a,1,1,1)),flip(a)]. 1438 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(189(a,2),1423(a,1,2))]. 1439 T(1 / (1 / x),x \ 1) = x. [hyper(255,a,1259,a(flip),b,911,a(flip))]. 1440 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1439(a,1),43(a,1,1)),flip(a)]. 1441 T(1 / (1 / (1 / x)),x) = 1 / x. [para(73(a,1),1439(a,1,2))]. 1442 (1 / (1 / x)) * (x \ 1) = (x \ 1) * x. [para(1439(a,1),127(a,1,2)),flip(a)]. 1443 T(x,x \ 1) / x = K(x,x \ 1). [para(1439(a,1),1212(a,1,1)),flip(a)]. 1444 (1 / (1 / (1 / x))) * x = x * (1 / x). [para(1441(a,1),127(a,1,2)),flip(a)]. 1445 K(x,1 / x) = K(x,x \ 1). [hyper(255,a,1265,a(flip),b,1443,a(flip)),flip(a)]. 1446 K(x,x \ 1) * x = T(x,x \ 1). [para(1443(a,1),21(a,1,1))]. 1447 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(128(a,1),1443(a,1,1))]. 1448 K(x,x \ 1) = x * (1 / x). [hyper(365,a,1445,a),flip(a)]. 1449 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(255,a,616,a,b,1445,a(flip)),flip(a)]. 1450 x \ K(x,x \ 1) = 1 / x. [hyper(80,a,1445,a(flip),b,191,a(flip))]. 1451 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(70(a,1),1445(a,1,2)),flip(a)]. 1452 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1445(a,1),391(a,1,1))]. 1453 K(x,x \ 1) != y | x * (1 / x) = y. [para(1445(a,1),365(a,1))]. 1454 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1445(a,1),796(a,1,2))]. 1455 K(x,x \ 1) * (x \ 1) = 1 / x. [para(1445(a,1),799(a,1,1))]. 1456 K(x,x \ 1) * x = (x \ 1) \ 1. [para(1445(a,1),1268(a,1,1))]. 1457 (x \ 1) * K(x,x \ 1) = 1 / x. [para(1445(a,1),1271(a,1,2))]. 1458 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(255,a,390,a,b,1448,a(flip)),flip(a)]. 1460 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1448(a,2),1103(a,1,2))]. 1461 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1448(a,2),832(a,1,1))]. 1462 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1448(a,2),1418(a,1,2))]. 1463 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1448(a,2),1423(a,1,2))]. 1464 x * (1 / x) != y | K(x,x \ 1) = y. [para(1450(a,1),220(a,1,2)),flip(b)]. 1465 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). [para(1446(a,1),112(a,1,1))]. 1466 T(x,x \ 1) \ (K(x,x \ 1) * y) = L(x \ y,x,K(x,x \ 1)). [para(1446(a,1),114(a,2,1)),flip(a)]. 1467 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1446(a,1),422(a,1,1))]. 1468 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) != z | L(y,K(y,y \ 1),x) = z. [para(1446(a,1),431(a,1,2,2))]. 1469 x * L(y,K(x,x \ 1),1 / (1 / x)) = (1 / (1 / x)) * (K(x,x \ 1) * y). [para(1454(a,1),112(a,1,1))]. 1470 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(1454(a,1),122(a,1,2))]. 1471 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1454(a,1),123(a,2,2))]. 1472 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1455(a,1),483(a,1,1))]. 1474 ((x \ 1) \ 1) / L(y \ x,y,K(x,x \ 1)) = K(x,x \ 1) * y. [para(1456(a,1),417(a,1,1))]. 1475 K(x,1 / x) != y | K(x,x \ 1) = y. [para(191(a,2),1464(a,1))]. 1477 (x \ 1) / (1 / x) = (x \ 1) * x. [hyper(255,a,968,a(flip),b,1442,a(flip)),flip(a)]. 1478 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(255,a,189,a,b,1477,a)]. 1479 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(255,a,1270,a,b,1478,a(flip)),flip(a)]. 1480 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(255,a,1196,a(flip),b,1478,a(flip)),flip(a)]. 1481 K(x \ 1,x) * (1 / x) = x \ 1. [para(1478(a,1),21(a,1,1))]. 1482 K(x \ 1,x) \ (x \ 1) = 1 / x. [para(1478(a,1),73(a,1,1))]. 1483 x * K(x \ 1,x) = 1 / (1 / x). [para(1480(a,1),19(a,1,2))]. 1484 x * (T(x,y) \ K(x \ 1,x)) = T(x,y) \ (1 / (1 / x)). [para(1480(a,1),1082(a,1,2,2))]. 1486 T(1 / x,K(x \ 1,x)) = 1 / x. [hyper(695,a,1481,a)]. 1487 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1481(a,1),112(a,1,1))]. 1488 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(1481(a,1),114(a,2,1))]. 1489 L(x \ 1,x,x \ 1) = 1 / x. [hyper(609,a,1482,a)]. 1490 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1489(a,1),45(a,2,1))]. 1491 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1489(a,1),50(a,1,1)),flip(a)]. 1492 L(x,x \ 1,x) = 1 / (1 / x). [hyper(761,a,1483,a)]. 1494 (1 / (1 / x)) / (x * x) = R(x \ 1,x,x). [para(1483(a,1),1254(a,1,1))]. 1495 L(T(x,y),x \ 1,x) = T(1 / (1 / x),y). [para(1492(a,1),45(a,2,1))]. 1496 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1492(a,1),49(a,1,1)),flip(a)]. 1497 L(L(x,y,z),x \ 1,x) = L(1 / (1 / x),y,z). [para(1492(a,1),50(a,1,1)),flip(a)]. 1498 L((x * y) / x,y \ 1,y) = (x * (1 / (1 / y))) / x. [para(1492(a,1),767(a,2,1,2))]. 1499 L(1 / x,y,z) * K(x \ 1,x) = K(x \ 1,x) * L(1 / x,y,z). [para(1486(a,1),183(a,1,2,1)),flip(a)]. 1501 x / (1 / (1 / x)) = x * (1 / x). [hyper(255,a,1149,a(flip),b,1444,a(flip)),flip(a)]. 1502 x / (1 / (1 / x)) = K(x,x \ 1). [hyper(255,a,1448,a,b,1501,a)]. 1503 x / (1 / (1 / x)) = K(x,1 / x). [hyper(255,a,191,a,b,1501,a)]. 1504 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1502(a,1),21(a,1,1))]. 1505 K(x,x \ 1) \ x = 1 / (1 / x). [para(1502(a,1),73(a,1,1))]. 1506 K(x,1 / x) * (1 / (1 / x)) = x. [para(1503(a,1),21(a,1,1))]. 1507 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1504(a,1),112(a,1,1))]. 1508 L(x,1 / x,x) = 1 / (1 / x). [hyper(563,a,1506,a)]. 1509 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1508(a,1),45(a,2,1))]. 1510 T(L(x,1 / x,x),x \ 1) = x. [para(1508(a,2),1439(a,1,1))]. 1511 L(T(x,x \ 1),1 / x,x) = x. [hyper(255,a,45,a,b,1510,a(flip)),flip(a)]. 1512 T(x,K(x,1 / x)) = x. [hyper(255,a,1276,a(flip),b,1511,a(flip)),flip(a)]. 1513 T(K(x,1 / x),x) = K(x,1 / x). [hyper(40,a,1512,a)]. 1514 T(x,K(x,x \ 1)) = x. [para(1445(a,1),1512(a,1,2))]. 1515 L(x,y,z) * K(x,x \ 1) = K(x,x \ 1) * L(x,y,z). [para(1514(a,1),183(a,1,2,1)),flip(a)]. 1516 a(x,1 / x,x) = K(x,1 / x). [hyper(255,a,711,a(flip),b,1513,a(flip)),flip(a)]. 1517 x \ T(x,x \ 1) = K(x,1 / x). [hyper(255,a,1266,a,b,1516,a(flip)),flip(a)]. 1518 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(255,a,1261,a(flip),b,1516,a(flip)),flip(a)]. 1519 x \ T(x,x \ 1) = K(x,x \ 1). [hyper(255,a,1445,a(flip),b,1517,a)]. 1520 x \ ((x \ 1) \ 1) = K(x,x \ 1). [hyper(255,a,1445,a(flip),b,1518,a)]. 1521 K((x \ 1) \ 1,x \ 1) = K(x,1 / x). [hyper(255,a,693,a,b,1518,a(flip)),flip(a)]. 1522 x * K(x,x \ 1) = T(x,x \ 1). [para(1519(a,1),19(a,1,2))]. 1523 x * K(x,x \ 1) = (x \ 1) \ 1. [para(1519(a,1),275(a,2,2)),flip(a)]. 1524 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [hyper(255,a,693,a,b,1520,a(flip)),flip(a)]. 1525 T(x,x \ 1) * L(y,K(x,x \ 1),x) = x * (K(x,x \ 1) * y). [para(1522(a,1),112(a,1,1))]. 1526 L(K(x,x \ 1) \ y,K(x,x \ 1),x) = T(x,x \ 1) \ (x * y). [para(1522(a,1),114(a,2,1))]. 1528 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(1522(a,1),466(a,1,1,1))]. 1529 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1475,a,1479,a)]. 1530 K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,1 / (x \ 1)). [para(1248(a,2),1521(a,1,1))]. 1532 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(1524(a,1),1405(a,1,2,1))]. 1533 K(1 / x,x) = K(x \ 1,x). [para(73(a,1),1529(a,1,2))]. 1534 K(1 / (1 / x),1 / x) = K(x,x \ 1). [hyper(255,a,1449,a(flip),b,1533,a)]. 1535 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(255,a,1452,a,b,1533,a(flip)),flip(a)]. 1536 K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(T(x,x \ 1),T(x \ 1,x)). [para(1247(a,1),1533(a,1,1)),flip(a)]. 1538 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1490(a,1),433(a,1,2))]. 1539 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = L(R(x \ 1,x,x),y,z) * (x * x). [para(1494(a,1),570(a,1,1,1)),flip(a)]. 1540 T(1 / (1 / x),y) / ((x \ 1) * T(x,y)) = x. [hyper(81,a,1495,a(flip),b,190,a)]. 1541 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(255,a,1003,a,b,1509,a(flip)),flip(a)]. 1542 K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1491(a,1),433(a,1,2))]. 1543 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(255,a,1462,a(flip),b,1515,a(flip))]. 1544 K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,x). [para(70(a,1),1530(a,2,2))]. 1545 K(T(x \ 1,x),T(x,x \ 1)) = K(x \ 1,x). [para(128(a,2),1544(a,1,2))]. 1546 K(T((x \ 1) \ 1,x \ 1),T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). [hyper(255,a,1524,a(flip),b,1545,a)]. 1547 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1541(a,1),19(a,1,2))]. 1549 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1445(a,1),1547(a,1,1))]. 1550 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(1505(a,2),1549(a,1,2,1))]. 1551 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(167(a,1),917(a,1,2,2))]. 1552 (x * y) * L((x * y) \ y,z,u) = (L(1 / x,z,u) * x) * y. [hyper(780,a,1011,a)]. 1553 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(87,a,1051,a)]. 1554 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(17(a,1),1051(a,2,2,1,2))]. 1555 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(87,a,1554,a),flip(a)]. 1556 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(289(a,1),1554(a,1,2)),flip(a)]. 1557 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1200(a,2),1554(a,1,2)),flip(a)]. 1558 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(966,a,1557,a)]. 1559 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(80,a,1557,a,b,xx),flip(a)]. 1560 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(255,a,925,a(flip),b,1557,a(flip))]. 1561 K(x \ (x / (y \ (z \ y))),x) = y \ (T(z,x) * (z \ y)). [hyper(80,a,398,a(flip),b,1557,a(flip)),flip(a)]. 1562 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(18(a,1),1557(a,1,2,1)),flip(a)]. 1563 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(31(a,2),1557(a,2,2,1,2,2))]. 1564 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(33(a,2),1557(a,2,2,1,2,2))]. 1565 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(20(a,1),1559(a,1,1,2))]. 1566 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(37(a,2),1559(a,1,1,2,2))]. 1567 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(73(a,1),1559(a,2,2,2,1))]. 1569 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1559(a,1),975(a,1,2,2))]. 1570 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(994(a,1),1569(a,1,2,2,2,2))]. 1571 T(x,x * (T(x,y) \ x)) = x. [para(19(a,1),1570(a,1,2,2,2))]. 1572 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1571(a,1),43(a,1,1)),flip(a)]. 1573 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(18(a,1),1556(a,1,2,1)),flip(a)]. 1574 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(21(a,1),1558(a,1,1,1)),flip(a)]. 1575 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(894(a,1),1567(a,2,2))]. 1576 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(81,a,396,a(flip),b,1052,a)]. 1577 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(16(a,1),1052(a,2,1,1,1))]. 1578 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(255,a,396,a(flip),b,1577,a)]. 1579 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(396(a,1),1578(a,1,1))]. 1581 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1200(a,2),1579(a,1,1))]. 1582 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(96,a,1581,a),flip(a)]. 1583 K(x \ (x / ((y * z) / y)),x) = (y * (z * T(z \ 1,x))) / y. [hyper(81,a,656,a(flip),b,1581,a),flip(a)]. 1584 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [para(20(a,1),1582(a,1,1,2))]. 1585 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(35(a,2),1582(a,1,1,2,2))]. 1586 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(994(a,1),1582(a,2,1,2))]. 1587 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(255,a,1572,a(flip),b,1080,a(flip))]. 1588 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1587(a,1),70(a,1,2))]. 1589 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1353,a,1588,a)]. 1590 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1588(a,2),618(a,1,2))]. 1591 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1589(a,1),396(a,1,1)),flip(a)]. 1592 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(129(a,1),1114(a,1,2)),flip(a)]. 1593 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(70(a,1),1592(a,1,2,1,1)),flip(a)]. 1594 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(255,a,809,a(flip),b,1120,a(flip)),flip(a)]. 1595 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(789(a,1),1594(a,1,1))]. 1596 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(1083(a,1),1595(a,1,1,2,1))]. 1597 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1379(a,2),1595(a,1,1)),flip(a)]. 1598 T(L(x,y,z),u) * (x \ 1) = x \ T(L(x,y,z),u). [para(19(a,1),1156(a,1,2,1)),flip(a)]. 1600 T(L(x,y,z),u) * (x \ 1) = x \ L(T(x,u),y,z). [para(45(a,2),1598(a,2,2))]. 1601 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [para(45(a,2),1600(a,1,1))]. 1602 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(18(a,1),1192(a,1,1)),flip(a)]. 1603 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(533,a,1602,a)]. 1604 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(80,a,97,a(flip),b,1602,a)]. 1605 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(674,a,1603,a),flip(a)]. 1606 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(880(a,1),1198(a,1,2)),flip(a)]. 1607 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(105(a,1),1606(a,2,2))]. 1608 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(18(a,1),1607(a,1,1,1))]. 1609 (x * y) * ((y * x) \ y) = y * K(x,y). [para(18(a,1),1608(a,2,2,1))]. 1611 (x * y) * L(x \ 1,x,y) = y * K(x,y). [hyper(255,a,340,a,b,1609,a(flip)),flip(a)]. 1612 (x * K(y,x)) \ (y * x) != z | L(((x * y) \ x) \ 1,(x * y) \ x,y * x) = z. [para(1609(a,1),374(a,1,1))]. 1614 x * K(x \ (x / T(x,y)),x) != z | L(x,T(x,y) \ 1,T(x,y)) = z. [para(1207(a,1),537(a,1))]. 1615 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(780,a,1323,a),flip(a)]. 1616 x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). [hyper(997,a,1335,a),flip(a)]. 1617 T(x,x / (y \ 1)) != z | T(x,y * x) = z. [para(1616(a,1),891(a,1))]. 1618 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(992,a,1336,a),flip(a)]. 1619 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(16(a,1),1336(a,2,1,1,2))]. 1620 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(19(a,1),1618(a,1,1,1,2)),flip(a)]. 1621 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1618(a,1),1364(a,1,1))]. 1622 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(916,a,1619,a)]. 1623 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(73(a,1),1622(a,1,2,1,2))]. 1624 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(302,a,1623,a),flip(a)]. 1625 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(916,a,1362,a)]. 1626 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(18(a,1),1366(a,1,1,2)),flip(a)]. 1627 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(535,a,1626,a)]. 1628 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(371,a,1626,a),flip(a)]. 1629 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(998(a,1),1626(a,1,1)),flip(a)]. 1630 (x / ((y * x) / y)) / x = 1 / ((y * x) / y). [hyper(96,a,1628,a)]. 1631 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(308,a,1629,a),flip(a)]. 1632 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(1099,a,1631,a)]. 1634 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(96,a,1632,a)]. 1636 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(255,a,1620,a,b,1634,a(flip)),flip(a)]. 1637 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(18(a,1),1636(a,1,2,2,2)),flip(a)]. 1638 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(396(a,1),1370(a,2,1))]. 1639 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(578(a,1),1397(a,2,1))]. 1640 (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). [hyper(255,a,832,a(flip),b,1416,a)]. 1641 x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). [para(1538(a,1),565(a,1,2))]. 1642 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(1550(a,1),973(a,1,1))]. 1643 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(570(a,1),1552(a,2,1))]. 1644 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(19(a,1),1553(a,1,2,2,1,2)),flip(a)]. 1645 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(1190(a,1),1566(a,2,2))]. 1646 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(255,a,37,a,b,1645,a),flip(a)]. 1647 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(1645(a,2),19(a,1,2)),flip(a)]. 1649 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(255,a,1200,a(flip),b,1646,a),flip(a)]. 1650 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(80,a,1646,a,b,1200,a(flip))]. 1651 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(289(a,1),1646(a,1,1)),flip(a)]. 1652 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(924(a,1),1646(a,1,1))]. 1653 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1062(a,2),1646(a,1,1)),flip(a)]. 1654 K(x \ (x / T(y,z)),x) = T(K(x \ (x / y),x),z). [para(1200(a,2),1646(a,1,1)),flip(a)]. 1655 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1246(a,1),1652(a,2,1,2,2))]. 1656 K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). [para(70(a,1),1654(a,2,1,1,2))]. 1657 T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). [para(128(a,1),1656(a,1,1,2,2)),flip(a)]. 1658 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(225,a,1649,a),flip(a)]. 1659 T(x,y) \ T(x * T(x \ 1,z),y) != u | T(T(x,y) \ 1,z) = u. [para(1649(a,1),222(a,1,2)),flip(b)]. 1661 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1232(a,1),1650(a,1,2,1,2)),flip(a)]. 1662 T(x,y) \ T(x * T(x \ 1,x),y) = T(T(x,y) \ 1,T(x,x \ 1)). [para(1246(a,1),1650(a,1,2,1,2))]. 1663 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(255,a,396,a(flip),b,1576,a)]. 1664 K(x \ (x / ((y * x) / y)),x) = (y * K(x \ 1,x)) / y. [para(289(a,1),1583(a,2,1,2))]. 1665 ((x * y) / x) \ ((x * K(y \ 1,y)) / x) = T(((x * y) / x) \ 1,y). [hyper(80,a,1664,a(flip),b,1200,a(flip))]. 1666 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(570(a,1),1615(a,1,1))]. 1667 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(1083(a,1),1625(a,1,2,1))]. 1668 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1625(a,1),1378(a,1,2))]. 1669 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(255,a,832,a(flip),b,1638,a(flip)),flip(a)]. 1670 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(255,a,656,a(flip),b,1638,a(flip))]. 1671 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(172,a,1638,a(flip),b,832,a(flip)),flip(a)]. 1673 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(37(a,2),1671(a,1,2,1,2)),flip(a)]. 1674 T(x * T(x \ y,x),x) = (x \ T(y,x)) * x. [hyper(255,a,127,a(flip),b,1673,a)]. 1675 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(80,a,1673,a,b,xx)]. 1676 T((x \ y) * x,x) = (x \ T(y,x)) * x. [para(127(a,1),1674(a,1,1))]. 1677 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(81,a,1676,a,b,xx)]. 1678 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(80,a,1676,a,b,263,a)]. 1680 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1676(a,2),69(a,1,2,1))]. 1681 T(x * y,y) / y = y \ T(y * x,y). [para(18(a,1),1677(a,1,1,1,1))]. 1683 (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. [para(1677(a,1),226(a,1,1)),flip(b)]. 1684 x \ T(x * (y / x),x) = T(y,x) / x. [para(75(a,1),1677(a,1,1,1)),flip(a)]. 1687 x * (T(y * x,x) / x) = T(x * y,x). [para(18(a,1),1680(a,1,2,1,1,1))]. 1688 T(x * (y / x),x) = x * (T(y,x) / x). [para(75(a,1),1680(a,1,2,1,1)),flip(a)]. 1689 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(397(a,1),1681(a,1,1,1)),flip(a)]. 1690 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(571(a,1),1681(a,1,1,1)),flip(a)]. 1691 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(934(a,1),1687(a,1,2)),flip(a)]. 1692 (x \ 1) * (T(x \ R(x,y,z),x \ 1) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1159(a,1),1687(a,1,2,1,1))]. 1693 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(18(a,1),1675(a,1,2,1,2,1))]. 1695 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(18(a,1),1678(a,1,2,1,1))]. 1696 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1684(a,1),1693(a,2,1))]. 1697 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1696(a,1),19(a,1,2)),flip(a)]. 1698 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(151(a,1),1697(a,2,2,1,1))]. 1699 x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. [para(1697(a,2),222(a,1,2)),flip(b)]. 1700 T(x,x * R(x \ 1,y,z)) = x. [hyper(172,a,821,a(flip),b,1639,a(flip))]. 1701 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [hyper(172,a,1639,a(flip),b,821,a(flip))]. 1703 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(73(a,1),1700(a,1,2,2,1))]. 1704 T(x,(y / (x * y)) * x) = x. [para(593(a,2),1700(a,1,2))]. 1705 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(581(a,1),1700(a,1,2))]. 1706 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1158(a,1),1700(a,1,2))]. 1707 T(x / y,(y / x) * (x / y)) = x / y. [para(708(a,1),1700(a,1,2))]. 1708 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1704(a,1),1108(a,1,1,1)),flip(a)]. 1709 T(x \ R(x,y,z),x \ 1) = x \ R(x,y,z). [hyper(40,a,1706,a)]. 1710 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1706(a,1),43(a,1,1)),flip(a)]. 1711 T(x / (y * x),y * (x / (y * x))) = x / (y * x). [para(20(a,1),1707(a,1,2,1))]. 1712 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1703(a,1),548(a,1,1,2))]. 1713 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1705(a,1),718(a,1,1))]. 1714 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1701(a,1),1688(a,2,2,1))]. 1715 R(x / (y * x),y,x / (y * x)) = T(x / (y * x),y). [para(1711(a,1),718(a,1,1))]. 1716 T(x \ 1,R(x,y,z)) \ T((x \ 1) * R(x,y,z),x \ 1) = T(R(x,y,z),x \ 1). [para(1713(a,1),1319(a,1,1))]. 1717 R(x / (y * x),y,x / (y * x)) = R(y \ 1,y,x). [hyper(255,a,587,a(flip),b,1715,a)]. 1718 R(x \ 1,x,y) \ T((y / (x * y)) * x,y / (x * y)) = T(x,y / (x * y)). [para(1717(a,1),1319(a,1,1))]. 1719 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(396(a,1),1640(a,1,1))]. 1720 T(x,x * L(x \ 1,y,z)) = x. [hyper(172,a,824,a(flip),b,1643,a(flip))]. 1721 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(172,a,1643,a(flip),b,430,a(flip))]. 1723 K(x,x * L(x \ 1,y,z)) = 1. [hyper(41,a,1720,a)]. 1724 T(x,x * ((y * x) \ y)) = x. [para(162(a,1),1720(a,1,2,2))]. 1725 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(342(a,1),1720(a,1,2,2))]. 1726 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(572(a,1),1720(a,1,2))]. 1727 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1150(a,1),1720(a,1,2))]. 1728 (((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y). [para(1724(a,1),548(a,1,1,2))]. 1729 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(940(a,1),1724(a,1,2,2,1))]. 1730 T(x \ (x / y),(x \ (x / y)) * y) = x \ (x / y). [para(73(a,1),1725(a,1,2,2))]. 1731 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1725(a,1),547(a,1,2)),flip(a)]. 1732 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1726(a,1),718(a,1,1))]. 1733 T((x \ (x / y)) * y,x \ (x / y)) = (x \ (x / y)) * y. [hyper(40,a,1730,a)]. 1734 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(40,a,1729,a)]. 1735 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(23,a,764,a,b,1731,a)]. 1736 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(37(a,2),1644(a,1,1))]. 1737 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(255,a,1652,a,b,1655,a)]. 1738 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(1737(a,1),667(a,1,1)),flip(a)]. 1739 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(19(a,1),1661(a,2,2,1))]. 1741 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(151(a,1),1739(a,2,2))]. 1743 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(127(a,1),1663(a,1,1)),flip(a)]. 1744 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(831(a,1),1663(a,1,1)),flip(a)]. 1745 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [para(832(a,1),1663(a,1,1))]. 1746 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1489(a,1),1666(a,1,1,2)),flip(a)]. 1747 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1448(a,2),1746(a,2,1))]. 1748 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(255,a,1691,a,b,1669,a(flip)),flip(a)]. 1749 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(19(a,1),1669(a,1,2,2,1,2,2))]. 1750 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(114(a,2),1669(a,1,2,2,1,2)),flip(a)]. 1751 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(1699,a,1689,a),flip(a)]. 1752 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1719(a,1),223(a,1,2))]. 1753 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(848(a,1),1719(a,1,1)),flip(a)]. 1754 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(974(a,2),1719(a,1,1))]. 1755 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(60(a,1),1754(a,2,2,2,1,2))]. 1757 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(127(a,1),1755(a,2,2))]. 1758 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(289(a,1),1755(a,2,2))]. 1759 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(23,a,122,a(flip),b,1757,a)]. 1760 (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). [para(20(a,1),1758(a,1,1,1))]. 1761 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(763(a,1),1758(a,1,1,1))]. 1762 ((x / K(y \ 1,y)) * y) * K(y \ 1,y) = x * y. [hyper(308,a,1760,a),flip(a)]. 1763 ((x * (y \ 1)) / K(y \ 1,y)) * y = R(x,y \ 1,y). [hyper(23,a,465,a,b,1762,a)]. 1764 (x * (y \ 1)) / K(y \ 1,y) != z | R(x,y \ 1,y) / y = z. [para(1759(a,1),304(a,1,1)),flip(b)]. 1765 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(81,a,556,a(flip),b,771,a)]. 1766 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(21(a,1),1765(a,1,1,1)),flip(a)]. 1767 x * R(x \ K(x,x \ 1),y,z) = R(1 / x,y,z) / (x \ 1). [para(1455(a,1),1765(a,1,1,1)),flip(a)]. 1768 R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). [para(1450(a,1),1767(a,1,2,1)),flip(a)]. 1769 (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). [para(351(a,1),1768(a,1,1)),flip(a)]. 1770 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(806(a,1),418(a,1,2)),flip(a)]. 1771 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(443(a,1),835(a,1,2,1))]. 1772 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(342(a,1),1033(a,1,2))]. 1773 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [para(1772(a,1),70(a,1,2))]. 1774 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(342(a,1),1169(a,1,1)),flip(a)]. 1775 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(18(a,1),1774(a,1,2)),flip(a)]. 1776 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1774(a,1),19(a,1,2))]. 1777 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(172,a,1776,a,b,19,a)]. 1779 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(18(a,1),1775(a,1,1)),flip(a)]. 1780 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(1779(a,1),19(a,1,2))]. 1781 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(255,a,708,a(flip),b,1181,a(flip))]. 1782 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(70(a,1),1781(a,1,2)),flip(a)]. 1783 (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). [hyper(302,a,1782,a),flip(a)]. 1785 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [para(1783(a,1),19(a,1,2))]. 1786 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(172,a,1785,a,b,19,a)]. 1788 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(400(a,1),1230(a,1,2)),flip(a)]. 1789 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(400(a,1),1788(a,1,2)),flip(a)]. 1790 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1789(a,1),51(a,1,1)),flip(a)]. 1791 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1789(a,1),1318(a,1,1))]. 1792 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(255,a,1448,a,b,1275,a)]. 1793 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(20(a,1),1437(a,2,1))]. 1794 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1793(a,1),397(a,1,1)),flip(a)]. 1795 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(22,a,183,a,b,1794,a),flip(a)]. 1796 L(K(x,x \ 1) \ y,K(x,x \ 1),x) = x * (((x \ 1) \ 1) \ y). [hyper(255,a,1105,a(flip),b,1526,a)]. 1797 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(255,a,667,a(flip),b,1738,a)]. 1798 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(31(a,2),1797(a,2,1))]. 1799 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(31(a,2),1798(a,1,1))]. 1800 T(K(1 / x,y),1 / x) = T(K(1 / x,y),x \ 1). [para(564(a,1),1799(a,1,2)),flip(a)]. 1801 (1 / x) * T(K(1 / x,y),x \ 1) = K(1 / x,y) * (1 / x). [para(1800(a,1),127(a,1,2))]. 1802 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [para(351(a,1),1769(a,1,2)),flip(a)]. 1803 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [para(1802(a,1),21(a,1,1))]. 1804 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [para(70(a,1),1802(a,1,1)),flip(a)]. 1805 (x / (y \ x)) * ((y \ x) / x) = ((y \ x) / x) / (y \ 1). [para(70(a,1),1802(a,1,2,1)),flip(a)]. 1807 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(70(a,1),1804(a,1,2)),flip(a)]. 1808 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(1807(a,1),1766(a,1,2,1,2))]. 1809 ((x \ y) / y) / (x \ 1) = x * ((x \ y) / y). [hyper(302,a,1805,a),flip(a)]. 1811 (x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y. [para(1809(a,1),21(a,1,1))]. 1812 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [hyper(255,a,350,a,b,1811,a)]. 1813 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(255,a,1639,a(flip),b,1004,a(flip))]. 1814 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(255,a,1639,a(flip),b,1005,a(flip))]. 1815 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [hyper(255,a,1643,a(flip),b,1007,a(flip))]. 1816 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(255,a,1643,a(flip),b,1008,a(flip))]. 1817 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1489(a,1),1816(a,2,1,2))]. 1818 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1747(a,1),1817(a,1,2))]. 1819 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(22,a,112,a(flip),b,1818,a)]. 1820 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1448(a,2),1818(a,2,1))]. 1821 x \ (K(x,x \ 1) * y) = K(x,x \ 1) * (x \ y). [hyper(87,a,1820,a)]. 1822 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(22,a,1543,a(flip),b,1820,a)]. 1823 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(18(a,1),1820(a,1,2,2)),flip(a)]. 1824 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(37(a,2),1820(a,1,2,2))]. 1825 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1451(a,1),1820(a,1,2,1))]. 1826 (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. [para(1529(a,1),1820(a,1,2,1))]. 1827 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y). [hyper(255,a,1465,a,b,1823,a(flip)),flip(a)]. 1828 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(1819(a,1),24(a,1)),flip(a)]. 1829 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(255,a,1278,a(flip),b,1822,a)]. 1830 L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). [hyper(22,a,1525,a,b,1827,a),flip(a)]. 1831 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(1 / y,y),1 / y). [para(73(a,1),1830(a,1,2,2)),flip(a)]. 1832 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). [para(1529(a,1),1830(a,1,2)),flip(a)]. 1833 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(801,a,1012,a),flip(a)]. 1834 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(780,a,1012,a)]. 1835 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(571(a,1),1833(a,1,1))]. 1836 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(535,a,1835,a)]. 1837 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(371,a,1835,a),flip(a)]. 1838 ((x / y) * L(y,z,u)) * y = x * L(y,z,u). [hyper(255,a,98,a(flip),b,1835,a)]. 1839 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(87,a,1835,a)]. 1840 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(80,a,98,a(flip),b,1835,a)]. 1841 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1835(a,1),272(a,1,1))]. 1842 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(172,a,1837,a,b,19,a)]. 1844 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [hyper(81,a,112,a(flip),b,1838,a),flip(a)]. 1845 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1839(a,1),1061(a,1,1)),flip(a)]. 1846 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1842(a,1),185(a,1,1))]. 1847 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(87,a,1844,a),flip(a)]. 1848 (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. [para(1844(a,1),173(a,2)),flip(a)]. 1849 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1845(a,1),573(a,1,2))]. 1850 L(x,y,z) / T(x,x \ 1) = (x \ 1) * L(x,y,z). [hyper(81,a,62,a(flip),b,1849,a)]. 1851 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(255,a,570,a(flip),b,1013,a)]. 1852 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(788,a,1014,a)]. 1853 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(255,a,184,a(flip),b,1019,a)]. 1854 T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). [para(1083(a,1),1853(a,1,2,1,2))]. 1855 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(112(a,1),1053(a,1,1))]. 1856 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [hyper(916,a,1059,a)]. 1857 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(122(a,1),1059(a,1,2))]. 1858 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(814,a,1121,a)]. 1859 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1194(a,1),1858(a,1,1))]. 1860 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(96,a,1859,a)]. 1861 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(167(a,1),1859(a,1,1,2)),flip(a)]. 1862 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(1859(a,1),304(a,1,1)),flip(b)]. 1863 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1860(a,1),949(a,1,3)),flip(a)]. 1864 T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1 = x \ (((T(y,x) \ y) * x) \ x). [para(1861(a,1),1091(a,1,2,1)),flip(a)]. 1865 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1861(a,1),1587(a,1,1,2,1))]. 1866 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1186(a,1),374(a,1))]. 1867 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(73(a,1),1226(a,1,2)),flip(a)]. 1868 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(16(a,1),1867(a,2,1,1))]. 1869 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1868(a,1),1720(a,1,2))]. 1870 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1869(a,1),404(a,1,1,2)),flip(a)]. 1871 L((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(70(a,1),1293(a,1,1,2,1))]. 1872 (L(x / (y / z),u,w) * (y / z)) * z = y * L(y \ (x * z),u,w). [hyper(255,a,570,a(flip),b,1322,a)]. 1873 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(87,a,1324,a)]. 1874 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(87,a,1325,a)]. 1875 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(16(a,1),1326(a,2,1,1,1))]. 1876 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(255,a,578,a(flip),b,1875,a)]. 1877 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(578(a,1),1876(a,1,1))]. 1878 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(96,a,1877,a),flip(a)]. 1879 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(35(a,2),1878(a,1,1)),flip(a)]. 1880 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(255,a,428,a(flip),b,1330,a)]. 1881 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(127(a,1),1880(a,1,1,1,1,2))]. 1882 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(184(a,1),1881(a,2,2))]. 1883 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(87,a,1333,a)]. 1884 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(255,a,1499,a,b,1542,a(flip)),flip(a)]. 1885 K(T(x \ 1,x) \ 1,T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). [para(1252(a,1),1546(a,1,1))]. 1886 K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(x,x \ 1). [para(1251(a,1),1885(a,1,2))]. 1887 K(T(x,x \ 1),T(x \ 1,x)) = K(x,x \ 1). [hyper(255,a,1536,a(flip),b,1886,a(flip)),flip(a)]. 1888 K(T(x,x \ 1),T(x,x \ 1) \ 1) = K(x,x \ 1). [para(1242(a,2),1887(a,1,2))]. 1889 K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = T(x,x \ 1) \ (K(x,x \ 1) * y). [para(1888(a,1),1821(a,1,2,1)),flip(a)]. 1890 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(1341(a,1),1551(a,1,2))]. 1891 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(70(a,1),1593(a,1,1,1)),flip(a)]. 1892 T(T(x,y) \ 1,T(x,x \ 1)) = T(T(x,y) \ 1,x). [hyper(1659,a,1662,a),flip(a)]. 1893 T(T(x,y) \ 1,(x \ 1) \ 1) = T(T(x,y) \ 1,x). [para(128(a,1),1892(a,1,2))]. 1894 ((x \ 1) \ 1) * T(T(x,y) \ 1,x) = (T(x,y) \ 1) * ((x \ 1) \ 1). [para(1893(a,1),127(a,1,2))]. 1895 (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). [para(656(a,1),1670(a,1,1))]. 1896 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(587(a,1),1708(a,1,2))]. 1897 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(185(a,1),1791(a,1,2))]. 1898 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(255,a,1698,a(flip),b,1897,a)]. 1899 L(x,1 / (1 / y),K(1 / (1 / y),(1 / (1 / y)) \ 1)) = L(x,K(y,y \ 1),1 / (1 / y)). [para(1534(a,1),1831(a,2,2))]. 1900 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(570(a,1),1834(a,2,1))]. 1901 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(570(a,1),1851(a,1,1))]. 1902 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(578(a,1),1852(a,2,1))]. 1903 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(789(a,1),1856(a,2,1))]. 1904 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). [para(570(a,1),1872(a,1,1))]. 1905 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(17(a,1),1873(a,1,2,2,1,2)),flip(a)]. 1906 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(33(a,2),1905(a,1,1)),flip(a)]. 1907 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(17(a,1),1874(a,1,2,2,1,2)),flip(a)]. 1908 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(19(a,1),1883(a,1,2,2,1))]. 1909 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(412,a,1908,a)]. 1910 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1908(a,1),412(a,1))]. 1911 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(255,a,1392,a(flip),b,1909,a)]. 1912 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(70(a,1),1909(a,1,2,1)),flip(a)]. 1913 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(941(a,1),1909(a,1,2)),flip(a)]. 1914 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1041(a,1),1909(a,1,2)),flip(a)]. 1915 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1357(a,1),1909(a,1,2)),flip(a)]. 1916 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1909(a,2),1378(a,1,2))]. 1917 ((x * y) / x) * ((y * (((x * y) / x) \ 1)) / y) = K(y,1 / ((x * y) / x)). [para(1630(a,1),1909(a,1,2)),flip(a)]. 1918 x * K(y,(y / (x \ 1)) / y) = (y * x) / y. [para(1911(a,2),19(a,1,2))]. 1919 K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). [para(1083(a,1),1911(a,2,2,1))]. 1920 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1159(a,1),1911(a,2,2,1))]. 1921 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(70(a,1),1916(a,1,2,2,1)),flip(a)]. 1922 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(121(a,2),1921(a,1,2))]. 1923 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(20(a,1),1922(a,2,2,2))]. 1924 T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). [para(1923(a,1),1075(a,1,2,1)),flip(a)]. 1925 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(398(a,2),1913(a,1,2,1))]. 1926 x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). [para(1923(a,1),1924(a,1,1)),flip(a)]. 1927 (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). [para(17(a,1),1926(a,1,2)),flip(a)]. 1928 (x * K(x,y)) * (x \ 1) = K(x,y). [hyper(255,a,18,a(flip),b,1927,a)]. 1929 T(x * K(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(172,a,1927,a,b,259,a(flip))]. 1930 K(x,y) / (x \ 1) = x * K(x,y). [hyper(81,a,18,a(flip),b,1927,a)]. 1934 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(255,a,1008,a(flip),b,1900,a(flip)),flip(a)]. 1935 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(255,a,824,a(flip),b,1900,a(flip))]. 1936 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(172,a,1900,a(flip),b,1008,a(flip)),flip(a)]. 1938 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(37(a,2),1936(a,1,2,1,2)),flip(a)]. 1939 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(80,a,1938,a,b,xx)]. 1940 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(18(a,1),1939(a,1,2,1,2,1)),flip(a)]. 1942 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1684(a,1),1940(a,1,1)),flip(a)]. 1943 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(255,a,1690,a(flip),b,1942,a(flip))]. 1945 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(255,a,1005,a(flip),b,1902,a(flip)),flip(a)]. 1946 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(172,a,1902,a(flip),b,1325,a),flip(a)]. 1947 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(172,a,1902,a(flip),b,1005,a(flip)),flip(a)]. 1948 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(80,a,1902,a(flip),b,1325,a),flip(a)]. 1949 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(18(a,1),1902(a,1,2,1)),flip(a)]. 1951 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(18(a,1),1949(a,1,1,2,1))]. 1952 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(371,a,1951,a),flip(a)]. 1953 ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. [hyper(308,a,1951,a),flip(a)]. 1954 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(87,a,1951,a)]. 1955 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1953(a,1),304(a,1,1)),flip(b)]. 1956 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1954(a,1),1061(a,1,1)),flip(a)]. 1957 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1956(a,1),184(a,1,2)),flip(a)]. 1958 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1956(a,1),573(a,1,2))]. 1959 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(81,a,62,a(flip),b,1958,a)]. 1961 (x * y) * R(x,y,T(x,y)) = T(x * y,x) * T(x,y). [para(987(a,1),1958(a,1,1)),flip(a)]. 1962 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(255,a,601,a(flip),b,1959,a(flip)),flip(a)]. 1963 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(37(a,2),1947(a,1,2,1,2)),flip(a)]. 1964 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(81,a,1963,a,b,578,a)]. 1965 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(80,a,1963,a,b,xx)]. 1966 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(18(a,1),1964(a,1,1,1,2,1)),flip(a)]. 1969 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(255,a,1053,a(flip),b,1903,a(flip))]. 1970 (x * (((x * y) * (x \ 1)) / (x * y))) * y = (x * y) * (y / (x * y)). [para(19(a,1),1903(a,1,2,1)),flip(a)]. 1972 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1622(a,1),1969(a,1,1)),flip(a)]. 1973 (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). [hyper(96,a,1904,a)]. 1974 R(x,y,z) * (z * R(z \ (y * z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. [para(149(a,1),1945(a,1,2,2,1,2))]. 1975 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [para(16(a,1),1973(a,1,1,2,1,2)),flip(a)]. 1976 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(35(a,2),1975(a,1,1)),flip(a)]. 1977 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(255,a,29,a,b,448,a),flip(a)]. 1978 L(x,y,T(z,z \ u)) = L(x,y,(z \ u) \ u). [hyper(255,a,597,a(flip),b,599,a(flip)),flip(a)]. 1979 (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [hyper(255,a,1193,a(flip),b,694,a(flip)),flip(a)]. 1980 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(813(a,1),914(a,1,1))]. 1981 (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). [para(735(a,1),1980(a,1,1,1,2)),flip(a)]. 1982 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(193(a,1),985(a,1,2))]. 1983 T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(47(a,2),1982(a,1,1,1))]. 1984 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(385(a,1),1983(a,1,1))]. 1985 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1984(a,1),43(a,1,1)),flip(a)]. 1986 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(920(a,1),1985(a,1,1))]. 1987 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(21(a,1),1986(a,1,1)),flip(a)]. 1988 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(472(a,1),1987(a,2,2))]. 1989 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(21(a,1),1988(a,1,1))]. 1990 T(x,x * (y \ 1)) = T(x,y \ x). [para(129(a,1),1989(a,1,2)),flip(a)]. 1991 T(x,(1 / y) \ x) = T(x,x * y). [para(73(a,1),1990(a,1,2,2)),flip(a)]. 1992 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(190(a,1),1415(a,1,1))]. 1993 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1496(a,1),1992(a,1,1))]. 1994 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(1064,a,1487,a(flip))]. 1995 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(477(a,1),1596(a,2,2))]. 1996 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(16(a,1),1995(a,2,2,1))]. 1997 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1667(a,1),1996(a,1,1))]. 1998 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(226,a,1997,a)]. 2000 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(255,a,1668,a,b,1998,a(flip)),flip(a)]. 2001 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1667(a,2),2000(a,1,2))]. 2002 x \ (((T(y,x) \ y) * x) \ x) = ((T(y,x) \ y) * x) \ 1. [para(1861(a,1),1864(a,1,1)),flip(a)]. 2003 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * ((y \ 1) \ ((y \ 1) * (y * x))). [para(433(a,1),1979(a,1,2,2)),flip(a)]. 2004 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1712(a,1),1165(a,1,1))]. 2005 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(255,a,186,a(flip),b,2004,a(flip)),flip(a)]. 2006 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(896(a,1),1209(a,1,2,1))]. 2007 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(2006(a,1),19(a,1,2))]. 2008 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(255,a,1555,a(flip),b,2007,a(flip))]. 2009 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(255,a,1903,a(flip),b,1331,a(flip))]. 2010 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [hyper(172,a,1638,a(flip),b,1337,a(flip)),flip(a)]. 2011 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(1109(a,1),1337(a,2,2))]. 2012 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(31(a,2),2011(a,1,2,1)),flip(a)]. 2013 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(1524(a,1),1532(a,2,1))]. 2014 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(87,a,2013,a)]. 2015 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) != z | K(x,x \ 1) * y = z. [para(2014(a,1),220(a,1,2)),flip(b)]. 2016 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(31(a,2),1563(a,1,2,1)),flip(a)]. 2017 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1200(a,1),2016(a,1,2))]. 2018 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(87,a,2017,a)]. 2019 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1725(a,1),1565(a,2,2,2))]. 2020 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(19(a,1),1586(a,2,1))]. 2021 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1535(a,1),1642(a,1,2))]. 2022 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1535(a,1),2021(a,2,1,2))]. 2023 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1483(a,1),2022(a,2,1))]. 2025 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(586(a,1),1714(a,2,2))]. 2026 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(586(a,1),2025(a,1,1,2))]. 2027 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(163(a,1),2026(a,1,1,2))]. 2028 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(163(a,1),2027(a,2,2))]. 2029 T(x,x * (y / (x * y))) = x. [hyper(40,a,2028,a)]. 2030 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(255,a,1896,a,b,2028,a(flip)),flip(a)]. 2031 T(x,x * ((x \ y) / y)) = x. [para(19(a,1),2029(a,1,2,2,2))]. 2032 T(x / y,(x / y) * (y / x)) = x / y. [para(21(a,1),2029(a,1,2,2,2))]. 2033 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(2031(a,1),276(a,1,1)),flip(a)]. 2034 T(x / (y * x),(x / (y * x)) * y) = x / (y * x). [para(20(a,1),2032(a,1,2,2))]. 2035 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(2032(a,1),185(a,1,1)),flip(a)]. 2036 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(255,a,129,a(flip),b,2035,a)]. 2037 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(2036(a,1),1584(a,2,1,2))]. 2038 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(2033(a,1),1584(a,2,1,2))]. 2039 T((x / (y * x)) * y,x / (y * x)) = (x / (y * x)) * y. [hyper(40,a,2034,a)]. 2040 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(127(a,1),1753(a,1,2)),flip(a)]. 2041 (x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)). [para(1219(a,2),1753(a,1,2)),flip(a)]. 2042 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(1683,a,2040,a)]. 2043 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(75(a,1),2042(a,1,1))]. 2044 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(18(a,1),2043(a,2,2,1,2)),flip(a)]. 2045 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(18(a,1),2044(a,1,2,1)),flip(a)]. 2046 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(105(a,1),2044(a,1,2,1)),flip(a)]. 2047 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(2044(a,1),409(a,1,2))]. 2048 T((x \ 1) * (x * y),x) != (x \ 1) * z | y * x = z. [para(2045(a,2),24(a,1))]. 2049 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(2045(a,1),127(a,1,2)),flip(a)]. 2050 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(255,a,190,a(flip),b,2049,a)]. 2052 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(17(a,1),1770(a,2,2,1,2,2))]. 2053 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(1909(a,2),1770(a,1,2))]. 2054 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(17(a,1),2053(a,2,2,1,2,2))]. 2055 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(37(a,2),2054(a,1,2,2,1,2)),flip(a)]. 2057 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(172,a,1903,a(flip),b,2055,a(flip))]. 2058 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(255,a,1909,a(flip),b,2057,a),flip(a)]. 2059 K(x,(x / T(x,y)) / x) = T(x * (1 / x),y). [para(19(a,1),2057(a,1,1,2,1)),flip(a)]. 2060 T(x \ T(x,x / (x * y)),z) = K(x,(x / T(y,z)) / x). [para(1379(a,2),2057(a,1,1))]. 2061 K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). [para(1912(a,1),2057(a,1,1)),flip(a)]. 2062 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [hyper(255,a,1909,a(flip),b,2059,a(flip)),flip(a)]. 2063 T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). [para(1387(a,1),2061(a,1,2,1,2)),flip(a)]. 2064 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(1083(a,1),2062(a,1,2,1))]. 2066 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1448(a,2),2064(a,2,1))]. 2067 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(2066(a,1),2001(a,1,2))]. 2068 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(2067(a,1),24(a,1))]. 2069 T(K(x,y / x),K(y / x,z)) = K(x,y / x). [para(70(a,1),2063(a,2,2,1))]. 2070 T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). [para(20(a,1),2069(a,1,1,2))]. 2071 T(K(x,y),K(y,z)) = K(x,(y * x) / x). [para(20(a,1),2070(a,1,2,1))]. 2072 T(K(x,y),K(y,z)) = K(x,y). [para(20(a,1),2071(a,2,2))]. 2073 K(K(x,y),K(y,z)) = 1. [hyper(41,a,2072,a)]. 2074 T(K(x,y),K(z,x)) = K(x,y). [hyper(40,a,2072,a)]. 2075 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(2072(a,1),127(a,1,2))]. 2076 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2072(a,1),225(a,1,2))]. 2077 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2072(a,1),183(a,1,2,1)),flip(a)]. 2078 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2072(a,1),184(a,1,2,1)),flip(a)]. 2079 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2072(a,1),362(a,1,2,1))]. 2081 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2074(a,1),225(a,1,2))]. 2082 R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). [para(2074(a,1),184(a,1,2,1)),flip(a)]. 2083 K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5. [para(2074(a,1),363(a,1,2,1))]. 2086 (K(x,y) * K(z,x)) \ (K(z,x) * (K(x,y) * u)) != w | L(u,K(x,y),K(z,x)) = w. [para(2075(a,2),431(a,1,1))]. 2087 ((x * K(y,z)) * K(z,u)) / (K(z,u) * K(y,z)) != w | R(x,K(y,z),K(z,u)) = w. [para(2075(a,2),466(a,1,2))]. 2088 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = T(x,y) * (1 / T(x,y)). [para(19(a,1),2058(a,1,2,1)),flip(a)]. 2089 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(398(a,2),2058(a,2,1,2,1)),flip(a)]. 2090 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = K(T(x,y),T(x,y) \ 1). [hyper(255,a,1448,a,b,2088,a)]. 2091 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [para(1913(a,1),2090(a,1,1)),flip(a)]. 2092 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1639(a,1),1813(a,1,2)),flip(a)]. 2093 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1158(a,1),2092(a,1,1)),flip(a)]. 2094 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1643(a,1),1815(a,1,2)),flip(a)]. 2095 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1150(a,1),2094(a,1,1)),flip(a)]. 2096 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1451(a,1),1825(a,2,1))]. 2097 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(87,a,2096,a)]. 2098 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(255,a,1488,a,b,2097,a(flip)),flip(a)]. 2099 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). [para(382(a,1),1826(a,1,2,2)),flip(a)]. 2100 R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). [para(19(a,1),1854(a,1,2,1)),flip(a)]. 2101 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1111(a,1),1915(a,1,2,1))]. 2102 ((x * y) / x) * ((((x * y) / x) \ y) / y) = K(y,1 / ((x * y) / x)). [para(1146(a,1),1917(a,1,2,1))]. 2103 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(824(a,1),1935(a,1,1))]. 2104 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(81,a,98,a(flip),b,2103,a)]. 2105 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(339(a,1),2103(a,1,1,2,2)),flip(a)]. 2106 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(339(a,1),2105(a,1,2,2)),flip(a)]. 2107 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1448(a,2),2106(a,1,1,2))]. 2108 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1448(a,2),2107(a,2,2))]. 2109 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(87,a,2108,a)]. 2110 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(81,a,98,a(flip),b,2108,a)]. 2111 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(2109(a,1),1061(a,1,1)),flip(a)]. 2112 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(2110(a,1),129(a,1,1))]. 2113 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(37(a,2),1946(a,1,1))]. 2114 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(37(a,2),2113(a,1,2,1,1))]. 2115 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(18(a,1),2114(a,2,1,2,1))]. 2116 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(255,a,231,a(flip),b,2019,a)]. 2118 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(2116(a,1),1143(a,1,1)),flip(a)]. 2119 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(255,a,1777,a(flip),b,2118,a(flip)),flip(a)]. 2120 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(374,a,2119,a)]. 2121 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(18(a,1),2119(a,1,1,2))]. 2122 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(18(a,1),2120(a,1,3))]. 2123 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(2120(a,1),1905(a,1,2)),flip(a)]. 2124 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(18(a,1),2121(a,2,2))]. 2125 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(374,a,2124,a)]. 2126 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(2124(a,1),19(a,1,2))]. 2127 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(2124(a,1),70(a,1,2))]. 2128 L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). [para(2125(a,1),346(a,1,1)),flip(a)]. 2129 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(162(a,2),2126(a,1,1,1)),flip(a)]. 2130 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(2127(a,1),1210(a,2,1,1,2)),flip(a)]. 2131 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(540,a,2129,a)]. 2132 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(255,a,162,a(flip),b,2122,a(flip)),flip(a)]. 2133 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(255,a,1448,a,b,2123,a)]. 2134 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(2133(a,1),19(a,1,2)),flip(a)]. 2135 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(19(a,1),2037(a,2,1))]. 2136 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(255,a,67,a(flip),b,2135,a)]. 2138 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * 1,y)) * z. [para(67(a,1),2041(a,1,1,2,1,2)),flip(a)]. 2139 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(17(a,1),2138(a,2,1,2,1))]. 2141 (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1. [hyper(22,a,234,a(flip),b,2139,a)]. 2143 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(428(a,1),786(a,1,1)),flip(a)]. 2144 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(255,a,427,a(flip),b,900,a)]. 2145 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ 1 = y \ ((y * (x * T(x \ 1,y))) \ y). [para(2144(a,1),1147(a,1,2,1)),flip(a)]. 2146 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(2144(a,1),1194(a,1,1)),flip(a)]. 2147 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(2144(a,1),1623(a,1,2)),flip(a)]. 2148 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(255,a,1241,a(flip),b,948,a(flip)),flip(a)]. 2150 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(2148(a,1),627(a,1,1))]. 2151 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(255,a,186,a(flip),b,2150,a(flip))]. 2152 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(2151(a,1),1913(a,1,2))]. 2153 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(342(a,1),1157(a,1,2,2))]. 2154 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [para(2153(a,1),19(a,1,2))]. 2155 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(2154(a,1),790(a,1,2,1))]. 2156 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(2154(a,1),1909(a,2,2,1)),flip(a)]. 2157 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1410(a,1),223(a,1))]. 2158 R(x \ 1,x,y) \ ((y / (x * y)) * x) = T(x,y / (x * y)). [para(2039(a,1),1718(a,1,2))]. 2159 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [hyper(709,a,2158,a)]. 2160 (x * R(x \ 1,x,y)) \ (T(x,y / (x * y)) * R(x \ 1,x,y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2159(a,1),177(a,1,2,1))]. 2161 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(1884(a,1),1761(a,1,1))]. 2162 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(255,a,1861,a(flip),b,1865,a)]. 2163 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(255,a,2103,a(flip),b,2161,a(flip)),flip(a)]. 2165 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(189(a,2),2163(a,1,1))]. 2166 (L(x,y,z) * u) \ ((x * (x \ u)) * L(T(x,x \ u),y,z)) = a(x,x \ u,L(T(x,x \ u),y,z)). [para(1421(a,1),568(a,1,1))]. 2167 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(127(a,1),836(a,1,2,1,1)),flip(a)]. 2168 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(172,a,1639,a(flip),b,2167,a),flip(a)]. 2169 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(594,a,2168,a),flip(a)]. 2170 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). [para(1727(a,1),2168(a,1,2,1,1)),flip(a)]. 2171 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(927(a,1),2169(a,2,1,2))]. 2172 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1253(a,1),2171(a,1,1,2)),flip(a)]. 2173 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(23,a,1658,a(flip),b,2172,a)]. 2174 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(2173(a,1),129(a,1,1))]. 2175 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(255,a,1741,a(flip),b,2174,a(flip))]. 2177 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(663(a,1),2175(a,1,1))]. 2178 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(2175(a,1),2141(a,1,2,2))]. 2179 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(87,a,2178,a),flip(a)]. 2181 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(73(a,1),2177(a,1,2))]. 2182 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [para(2181(a,1),70(a,1,2))]. 2183 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(1200(a,2),2181(a,1,1))]. 2184 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(127(a,1),837(a,1,2,1,1)),flip(a)]. 2185 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(172,a,1643,a(flip),b,2184,a),flip(a)]. 2186 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(87,a,2185,a)]. 2187 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [hyper(255,a,340,a(flip),b,2185,a(flip))]. 2188 T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). [para(675(a,1),2185(a,2,1,2))]. 2189 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(342(a,1),2186(a,1,2,1,2))]. 2190 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(940(a,1),2187(a,2,2,1))]. 2191 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). [para(1095(a,1),2188(a,1,2))]. 2192 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(153(a,1),2191(a,2,1,2))]. 2193 (1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(22,a,2064,a,b,2192,a)]. 2194 (T(x,y) \ x) \ ((T(x,y) \ x) / x) = T(1 / x,T(x,y) \ x). [hyper(172,a,2193,a,b,19,a),flip(a)]. 2196 T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x). [para(2193(a,1),1096(a,1,1))]. 2197 (1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x). [hyper(255,a,129,a(flip),b,2196,a(flip))]. 2198 (1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1. [hyper(255,a,1091,a(flip),b,2197,a)]. 2199 (1 / x) * ((T(x,y) \ 1) * x) != z | T(x,y) \ 1 = z. [para(2197(a,2),1093(a,1))]. 2200 (T(x,y) \ x) * T(T(1 / x,T(x,y) \ x),x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2194(a,1),974(a,2,2,1)),flip(a)]. 2201 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(2152(a,1),2190(a,1,1)),flip(a)]. 2202 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(255,a,2091,a,b,2201,a)]. 2203 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(22,a,1448,a(flip),b,2202,a)]. 2204 (T(x,y) / x) * (1 / T(x,y)) = 1 / x. [para(2203(a,1),19(a,1,2))]. 2205 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(199(a,1),2203(a,1,2))]. 2206 T(x,y) * ((T(x,y) / x) \ (1 / x)) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2203(a,2),1464(a,1,2))]. 2208 L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x. [para(136(a,1),1036(a,1,1,1,1)),flip(a)]. 2209 (1 / x) * L(T((1 / x) \ 1,y),z,u) = L(T(x,y),z,u) / x. [hyper(1057,a,2208,a)]. 2210 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(73(a,1),2209(a,1,2,1,1))]. 2211 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(407(a,1),1148(a,1,1)),flip(a)]. 2212 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(19(a,1),1314(a,1,2,1)),flip(a)]. 2213 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(129(a,1),2212(a,1,1)),flip(a)]. 2214 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(129(a,1),2213(a,1,2)),flip(a)]. 2215 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(18(a,1),2214(a,1,1)),flip(a)]. 2216 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(18(a,1),2215(a,1,2)),flip(a)]. 2217 (1 / T(x,y)) * T(T(x,z),u) = T(T(x,z),u) / T(x,y). [para(21(a,1),1358(a,1,1,1)),flip(a)]. 2219 T(T(x,y),z) / T(x,x \ 1) = (x \ 1) * T(T(x,y),z). [para(199(a,1),2217(a,1,1)),flip(a)]. 2220 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(255,a,182,a(flip),b,2219,a)]. 2221 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(255,a,927,a(flip),b,2220,a)]. 2222 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(2221(a,1),2205(a,1,1))]. 2223 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(255,a,2175,a(flip),b,2222,a(flip))]. 2224 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [para(2223(a,1),73(a,1,1)),flip(a)]. 2225 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(128(a,1),2223(a,1,2,1))]. 2226 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(564(a,1),2223(a,1,2,1))]. 2227 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(288(a,1),2223(a,1,2,1)),flip(a)]. 2228 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [para(128(a,1),2224(a,1,1)),flip(a)]. 2229 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(564(a,1),2224(a,1,1)),flip(a)]. 2230 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2227(a,1),70(a,1,2))]. 2231 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2228(a,2),127(a,1,2))]. 2232 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(129(a,1),2228(a,1,1,1)),flip(a)]. 2234 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(255,a,1483,a,b,2230,a(flip)),flip(a)]. 2236 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2230(a,1),1890(a,1,1,1,2))]. 2237 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(660,a,2231,a)]. 2238 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(129(a,1),2231(a,1,2,1,1)),flip(a)]. 2239 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(476(a,1),2231(a,1,2,1,1)),flip(a)]. 2240 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(255,a,1523,a,b,2237,a)]. 2241 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(255,a,128,a,b,2237,a)]. 2242 (T(x,y) \ 1) \ (T(x,y) \ x) = (x \ 1) \ 1. [hyper(255,a,1089,a,b,2237,a(flip)),flip(a)]. 2243 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(2068,a,2240,a)]. 2244 K(K(x,x \ 1),y) = 1. [hyper(41,a,2243,a)]. 2245 T(x,K(y,y \ 1)) = x. [hyper(40,a,2243,a)]. 2246 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(80,a,2243,a(flip),b,2066,a)]. 2247 K(x,x \ 1) * y = y * K(x,x \ 1). [para(2243(a,1),127(a,1,2)),flip(a)]. 2249 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2243(a,1),225(a,1,2))]. 2251 K(K(x \ 1,x),y) = 1. [para(1451(a,1),2244(a,1,1))]. 2252 K(x,x \ 1) * y != z * K(x,x \ 1) | z = y. [para(2245(a,1),174(a,1,2))]. 2253 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2245(a,1),225(a,1,2))]. 2256 T(x,K(y \ 1,y)) = x. [para(1451(a,1),2245(a,1,2))]. 2258 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(42,a,2251,a)]. 2263 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2048,a,2256,a),flip(a)]. 2264 (x * K(y \ 1,y)) / x = K(y \ 1,y). [para(2256(a,1),144(a,1,2))]. 2266 K(x \ 1,x) * y != z * K(x \ 1,x) | z = y. [para(2256(a,1),174(a,1,2))]. 2267 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2256(a,1),225(a,1,2))]. 2269 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(255,a,1651,a,b,2258,a(flip)),flip(a)]. 2270 T((x \ 1) * x,y) = K(x \ 1,x). [para(189(a,1),2258(a,1,1))]. 2271 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2258(a,1),225(a,1,2))]. 2272 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [hyper(255,a,1822,a(flip),b,2247,a(flip))]. 2273 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2247(a,2),35(a,2,2)),flip(a)]. 2274 R(1 / x,x,K(y,y \ 1)) = K(y,y \ 1) / (K(y,y \ 1) * x). [para(2247(a,2),163(a,2,2))]. 2275 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2247(a,2),451(a,1,2))]. 2276 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) = R(T(z,y * K(x,x \ 1)),y,K(x,x \ 1)). [para(2247(a,2),574(a,1,1))]. 2277 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) != u | L(T(z,y),y,K(x,x \ 1)) = u. [para(2247(a,1),686(a,1,2))]. 2278 L(x,y,y \ 1) * K(y \ 1,y) = (y \ 1) * (y * x). [hyper(741,a,2263,a),flip(a)]. 2279 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(255,a,974,a(flip),b,2263,a)]. 2280 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [hyper(80,a,465,a(flip),b,2263,a)]. 2281 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(26,a,2263,a)]. 2282 L(x \ 1,x,K(y \ 1,y)) = (x * K(y \ 1,y)) \ K(y \ 1,y). [para(2263(a,1),162(a,2,1))]. 2283 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2263(a,1),112(a,1,1))]. 2284 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2263(a,2),451(a,1,2))]. 2286 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). [para(2263(a,2),574(a,1,1))]. 2287 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2263(a,1),686(a,1,2))]. 2288 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2263(a,2),292(a,1,1))]. 2289 ((x * y) / x) \ K(y \ 1,y) = T(((x * y) / x) \ 1,y). [para(2264(a,1),1665(a,1,2))]. 2291 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2269(a,1),1205(a,1,1))]. 2292 x * K(x \ (x / T(x,y)),x) = 1 / (1 / x). [para(2269(a,2),1483(a,1,2))]. 2293 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(255,a,405,a(flip),b,2232,a(flip)),flip(a)]. 2294 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2232(a,1),167(a,1,1,2))]. 2297 (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. [para(2242(a,1),19(a,1,2))]. 2299 L(x,T(x,y) \ 1,T(x,y)) = 1 / (1 / x). [hyper(1614,a,2292,a)]. 2300 T(x,y) \ (1 / (1 / x)) = (T(x,y) \ 1) * x. [hyper(80,a,2292,a(flip),b,1207,a)]. 2301 L(L(x,y,z),T(x,u) \ 1,T(x,u)) = L(1 / (1 / x),y,z). [para(2299(a,1),50(a,1,1)),flip(a)]. 2302 ((x \ 1) \ 1) * T(T(x,y) \ 1,x) = T(x,y) \ x. [hyper(255,a,1894,a,b,2297,a(flip)),flip(a)]. 2305 x * T(x \ (x / y),y) != z | K(y \ 1,y) * (x / y) = z. [para(974(a,1),2271(a,1))]. 2306 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1846(a,1),2279(a,2,2))]. 2307 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2279(a,1),2267(a,1))]. 2308 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(18(a,1),2293(a,2,1,1))]. 2309 T(x,((y * x) / y) \ 1) != z | T(x,x \ 1) = z. [para(2308(a,2),287(a,1))]. 2310 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(18(a,1),2294(a,1,1,2,1,1))]. 2311 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2294(a,1),226(a,1,1)),flip(b)]. 2313 T(((x * y) / x) * (((x * y) / x) \ K(y \ 1,y)),((x * y) / x) \ y) = K(y \ (((x * y) / x) \ y),y). [para(2289(a,2),1222(a,1,1,2))]. 2315 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(751,a,2288,a)]. 2316 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(167(a,1),2236(a,1,1))]. 2318 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [para(2247(a,2),2273(a,1,1))]. 2319 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(37(a,2),1736(a,1,2,1,1)),flip(a)]. 2320 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(832(a,1),2319(a,1,2))]. 2321 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1752,a,2320,a),flip(a)]. 2322 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(18(a,1),2321(a,1,2,1,2)),flip(a)]. 2323 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(167(a,1),2322(a,1,1,2,1,2)),flip(a)]. 2324 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(172,a,1901,a,b,1771,a(flip))]. 2325 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(172,a,1900,a(flip),b,1771,a(flip)),flip(a)]. 2326 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(581(a,1),1948(a,2,2,1))]. 2327 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1622(a,1),1972(a,1,2)),flip(a)]. 2328 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(96,a,2327,a)]. 2329 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2328(a,1),810(a,1,1))]. 2330 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(255,a,253,a(flip),b,2329,a(flip))]. 2331 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2330(a,1),627(a,1,1))]. 2332 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(255,a,129,a(flip),b,2331,a(flip))]. 2333 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(255,a,31,a,b,2332,a),flip(a)]. 2334 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(31(a,2),2333(a,2,1,2)),flip(a)]. 2335 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(2334(a,1),21(a,1,1))]. 2336 T(K(x,y),1 / y) = K(x,y). [para(2334(a,1),166(a,1,1))]. 2337 T(1 / x,K(y,x)) = 1 / x. [hyper(40,a,2336,a)]. 2338 T(x \ 1,K(y,x)) = T(1 / x,x). [para(2337(a,1),185(a,1,1)),flip(a)]. 2341 T(x \ 1,K(y,x)) = x \ 1. [hyper(255,a,129,a(flip),b,2338,a)]. 2343 T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). [para(2341(a,1),344(a,2,1))]. 2344 T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). [para(19(a,1),2343(a,1,1,1))]. 2345 T(x \ y,K(z,y \ x)) = x \ y. [hyper(255,a,342,a(flip),b,2344,a)]. 2346 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(2345(a,1),127(a,1,2))]. 2347 ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). [para(290(a,1),1981(a,1,2,1,2)),flip(a)]. 2348 (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). [para(167(a,1),2347(a,1,1)),flip(a)]. 2349 x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. [para(167(a,1),2348(a,1,2)),flip(a)]. 2350 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). [para(2349(a,1),1919(a,1,2,1)),flip(a)]. 2351 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). [para(20(a,1),2350(a,2,2))]. 2352 (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. [para(2351(a,1),19(a,1,2))]. 2355 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1903(a,1),2009(a,1,2)),flip(a)]. 2356 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1909(a,2),2355(a,1,1))]. 2357 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(169(a,1),2038(a,2,1))]. 2358 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(255,a,67,a(flip),b,2357,a)]. 2360 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(2358(a,1),1143(a,1,1)),flip(a)]. 2361 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(255,a,1786,a(flip),b,2360,a(flip)),flip(a)]. 2362 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(73(a,1),2361(a,1,1,2,1))]. 2363 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(73(a,1),2362(a,2,2,1))]. 2364 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(2363(a,1),19(a,1,2))]. 2365 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(2363(a,1),2136(a,1,1))]. 2366 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(20(a,1),2365(a,1,1,2))]. 2367 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(81,a,20,a(flip),b,2364,a),flip(a)]. 2368 K(1 / x,(y / (x * y)) * x) = 1. [para(20(a,1),2366(a,1,2,2))]. 2369 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(42,a,2368,a)]. 2370 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1866,a,2369,a)]. 2371 L(x \ 1,x,(x \ y) / y) = 1 / x. [para(19(a,1),2370(a,1,3,2))]. 2372 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(163(a,2),2370(a,1,3))]. 2373 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(2370(a,1),341(a,1,2))]. 2374 (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. [para(2371(a,1),341(a,1,2))]. 2375 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(2372(a,1),347(a,1,2))]. 2376 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(2373(a,1),1792(a,1,2))]. 2377 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(2376(a,1),19(a,1,2)),flip(a)]. 2379 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1176,a,2375,a)]. 2380 T(1 / (1 / x),y / (x * y)) = x. [para(163(a,1),2379(a,1,2))]. 2381 T(x,y / (x * y)) = T(x,x \ 1). [para(2380(a,1),1440(a,1,1)),flip(a)]. 2382 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(255,a,128,a(flip),b,2381,a)]. 2383 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(80,a,2381,a,b,1522,a)]. 2384 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(2381(a,1),1292(a,2,1))]. 2385 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(21(a,1),2382(a,1,2,2))]. 2386 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(2385(a,1),397(a,1,1))]. 2387 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(20(a,1),2367(a,1,1)),flip(a)]. 2388 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(2387(a,1),1211(a,1,1,2))]. 2389 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(1390,a,2386,a)]. 2390 T(x,y / (y * x)) = T(x,x \ 1). [hyper(2309,a,2389,a),flip(a)]. 2391 T(x,y / (y * x)) = (x \ 1) \ 1. [hyper(255,a,2308,a(flip),b,2389,a(flip))]. 2392 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2390(a,1),127(a,1,2))]. 2394 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(19(a,1),2391(a,1,2,2))]. 2396 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(70(a,1),2394(a,1,2))]. 2397 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(255,a,615,a(flip),b,2388,a(flip))]. 2399 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [para(2397(a,1),21(a,1,1))]. 2402 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(18(a,1),2130(a,1,1,1))]. 2403 x \ T(x,(y * x) \ y) = T(K(x,(y * x) \ y),x). [hyper(172,a,2402,a,b,19,a),flip(a)]. 2406 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2280(a,1),2315(a,1,1,2))]. 2407 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(814,a,845,a),flip(a)]. 2408 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(21(a,1),2407(a,1,2,1,2,2)),flip(a)]. 2409 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(789(a,1),2407(a,2,1))]. 2410 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(308,a,2408,a),flip(a)]. 2411 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2408(a,1),308(a,1))]. 2412 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(997,a,2410,a),flip(a)]. 2413 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(255,a,1332,a(flip),b,2410,a(flip)),flip(a)]. 2414 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [hyper(172,a,2412,a,b,19,a),flip(a)]. 2416 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(301(a,2),2413(a,2,1,2,1)),flip(a)]. 2417 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1903(a,1),2413(a,1,2)),flip(a)]. 2418 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(996(a,1),2411(a,1))]. 2420 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). [hyper(1054,a,2409,a),flip(a)]. 2421 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(308,a,2409,a),flip(a)]. 2422 (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). [hyper(172,a,2409,a(flip),b,1770,a),flip(a)]. 2424 T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(37(a,2),2422(a,1,1))]. 2425 T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(37(a,2),2424(a,1,2,1,2,1))]. 2426 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(255,a,427,a(flip),b,901,a)]. 2427 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(940(a,1),2426(a,2,2))]. 2428 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2427(a,1),1604(a,1,1)),flip(a)]. 2429 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(255,a,1423,a(flip),b,1032,a(flip)),flip(a)]. 2430 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = (L(x \ 1,y,z) * x) * x. [hyper(255,a,460,a(flip),b,1539,a)]. 2431 x * (x * L(x \ (x \ (1 / (1 / x))),y,z)) = (L(x \ 1,y,z) * x) * x. [hyper(1048,a,2430,a)]. 2432 x * (x * L(x \ K(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(1480(a,1),2431(a,1,2,2,1,2))]. 2433 x * (x * L(T(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(294(a,1),2432(a,1,2,2,1))]. 2434 (L(x \ 1,y,z) * x) * x = x * (L(x \ 1,y,z) * x). [para(183(a,1),2433(a,1,2)),flip(a)]. 2435 T(x,L(x \ 1,y,z) * x) = x. [hyper(173,a,2434,a)]. 2436 T(x \ y,(y \ x) * (x \ y)) = x \ y. [para(342(a,1),2435(a,1,2,1))]. 2437 T(x \ (x / y),y * (x \ (x / y))) = x \ (x / y). [para(73(a,1),2436(a,1,2,1))]. 2438 R(x \ (x / y),y,x \ (x / y)) = T(x \ (x / y),y). [para(2437(a,1),718(a,1,1))]. 2439 T(x \ (x / y),y) \ T((x \ (x / y)) * y,x \ (x / y)) = T(y,x \ (x / y)). [para(2438(a,1),1319(a,1,1))]. 2440 T(x \ (x / y),y) \ ((x \ (x / y)) * y) = T(y,x \ (x / y)). [para(1733(a,1),2439(a,1,2))]. 2441 T(x,T(y \ (y / x),x)) = T(x,y \ (y / x)). [hyper(359,a,2440,a)]. 2442 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(T(1 / x,R(x,y,z)),x)). [para(1175(a,1),2441(a,1,2,1)),flip(a)]. 2443 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(x \ 1,R(x,y,z))). [para(185(a,1),2442(a,2,2))]. 2444 T(x,T(1 / x,R(x,y,z))) = T(x,T(x \ 1,R(x,y,z))). [para(1175(a,1),2443(a,1,2))]. 2445 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(895(a,1),1590(a,1,1))]. 2446 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1109(a,1),2445(a,1,1))]. 2447 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1588(a,1),2446(a,1,2))]. 2448 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(255,a,45,a,b,2447,a(flip)),flip(a)]. 2449 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1571(a,1),2448(a,1,1))]. 2450 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(255,a,1109,a,b,2449,a(flip)),flip(a)]. 2451 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2449(a,1),2012(a,1,2))]. 2452 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(255,a,1591,a(flip),b,2450,a(flip))]. 2453 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(656(a,1),1750(a,1,1)),flip(a)]. 2454 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * (y * T(y \ 1,z))) * z. [para(127(a,1),2453(a,1,2))]. 2455 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). [para(1406(a,1),2099(a,2,2))]. 2456 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(664(a,1),2429(a,1,2)),flip(a)]. 2457 T(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x. [para(2456(a,2),1540(a,1,2))]. 2458 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). [hyper(255,a,192,a(flip),b,2455,a)]. 2459 L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). [para(1529(a,1),2458(a,1,1)),flip(a)]. 2460 K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). [para(127(a,1),2459(a,1,1)),flip(a)]. 2461 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(189(a,2),1010(a,1,2,1,1))]. 2462 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1448(a,2),1461(a,1,2,1,1))]. 2463 (x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1709(a,1),1692(a,1,2,1))]. 2464 T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z). [para(1160(a,1),2463(a,1,2)),flip(a)]. 2465 T(x \ 1,R(x,y,z)) \ ((x \ 1) * R(x,y,z)) = T(R(x,y,z),x \ 1). [para(2464(a,1),1716(a,1,2))]. 2466 T(R(x,y,z),T(x \ 1,R(x,y,z))) = T(R(x,y,z),x \ 1). [hyper(359,a,2465,a)]. 2467 R(T(x,T(x \ 1,R(x,y,z))),y,z) = T(R(x,y,z),x \ 1). [hyper(255,a,47,a,b,2466,a(flip)),flip(a)]. 2468 R(T(x,T(x \ 1,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [hyper(255,a,47,a,b,2467,a)]. 2469 R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [para(2444(a,2),2468(a,1,1))]. 2470 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). [para(1203(a,2),1734(a,2,2,1))]. 2471 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(37(a,2),1745(a,1,1,2,2,1,2)),flip(a)]. 2472 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(66(a,1),1748(a,1,1)),flip(a)]. 2473 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(127(a,1),2472(a,1,1))]. 2475 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(18(a,1),2473(a,1,1,1)),flip(a)]. 2476 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2473(a,1),25(a,1))]. 2477 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2475(a,2),25(a,1))]. 2478 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1529(a,1),1829(a,1,1))]. 2479 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1020(a,1),2478(a,1,2))]. 2480 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(255,a,2165,a(flip),b,2479,a(flip)),flip(a)]. 2481 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(255,a,2131,a(flip),b,2480,a)]. 2482 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(23,a,2161,a,b,2481,a(flip)),flip(a)]. 2483 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(255,a,162,a(flip),b,2482,a),flip(a)]. 2484 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(162(a,1),2483(a,2,2,2)),flip(a)]. 2485 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(255,a,17,a,b,2484,a)]. 2486 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(87,a,2484,a)]. 2487 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2486(a,1),241(a,1,1))]. 2488 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(22,a,1030,a,b,2485,a(flip)),flip(a)]. 2489 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(80,a,2488,a(flip),b,2456,a(flip)),flip(a)]. 2490 T(1 / (1 / x),(y * x) \ y) / 1 = x. [para(2488(a,1),2457(a,1,2))]. 2492 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(255,a,128,a,b,2489,a)]. 2493 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(81,a,2489,a(flip),b,2402,a),flip(a)]. 2494 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(19(a,1),2489(a,1,2,1))]. 2495 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(104(a,1),2492(a,1,2,1))]. 2496 T(1 / (1 / x),(y * x) \ y) = x. [hyper(216,a,2490,a)]. 2498 T(1 / (1 / (x \ y)),y \ x) = x \ y. [para(19(a,1),2496(a,1,2,1))]. 2499 (((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y). [para(2496(a,1),167(a,1,1,2))]. 2500 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(255,a,1447,a(flip),b,2493,a)]. 2502 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(19(a,1),2500(a,1,2,1)),flip(a)]. 2503 K(x,y \ (y / x)) = K(x,x \ 1). [para(21(a,1),2500(a,1,2,1))]. 2504 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(1115(a,2),2500(a,1,2,1))]. 2505 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2500(a,2),1535(a,1,1))]. 2506 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2500(a,2),2243(a,1,1))]. 2507 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(255,a,616,a,b,2503,a(flip)),flip(a)]. 2508 1 / T(x \ y,y \ x) = (x \ y) \ 1. [para(2494(a,2),70(a,1,2))]. 2509 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(73(a,1),2494(a,1,2))]. 2510 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. [para(1204(a,2),2494(a,1,1))]. 2511 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2494(a,1),1556(a,1,2)),flip(a)]. 2512 K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). [para(2494(a,2),1657(a,2,1,2,2)),flip(a)]. 2513 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(2494(a,2),2294(a,1,1,2))]. 2514 T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). [para(1204(a,2),2498(a,1,1,2,2))]. 2515 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(18(a,1),2508(a,1,2,2))]. 2516 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(1453,a,2502,a)]. 2517 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(18(a,1),2502(a,2,2))]. 2518 T(x,K(y \ z,z \ y)) = x. [para(2502(a,1),2245(a,1,2))]. 2519 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2477,a,2518,a),flip(a)]. 2520 (x * K(y \ z,z \ y)) / x != u | K(y \ z,z \ y) = u. [para(2518(a,1),305(a,1,2)),flip(b)]. 2521 x * (((y \ (y / x)) \ 1) \ 1) = (y \ (y / x)) * x. [para(2509(a,1),127(a,1,2))]. 2522 L(x,(y * x) \ y,x) = 1 / (1 / x). [hyper(255,a,1728,a(flip),b,2499,a(flip)),flip(a)]. 2524 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [para(19(a,1),2522(a,1,2,1))]. 2525 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [hyper(255,a,1735,a(flip),b,2524,a(flip)),flip(a)]. 2526 L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). [para(18(a,1),2524(a,1,2))]. 2527 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2524(a,1),2134(a,1,2)),flip(a)]. 2528 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(617,a,2513,a)]. 2529 T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. [para(18(a,1),2528(a,1,2))]. 2530 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(31(a,2),2495(a,1,2)),flip(a)]. 2531 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(255,a,128,a(flip),b,2530,a(flip))]. 2532 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(255,a,2074,a(flip),b,2531,a(flip))]. 2535 1 / (1 / K(x,y)) = K(x,y). [para(2532(a,1),145(a,1,2,2))]. 2537 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2502(a,1),2527(a,1,2))]. 2538 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2507(a,1),2537(a,1,2))]. 2539 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ ((x * (y * z)) / L(z,y,x))))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(143(a,1),2538(a,1,1)),flip(a)]. 2540 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [hyper(255,a,2128,a(flip),b,2526,a(flip)),flip(a)]. 2542 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(70(a,1),2540(a,1,1))]. 2543 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(896(a,1),2504(a,1,2))]. 2544 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(255,a,2502,a(flip),b,2543,a)]. 2545 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(193(a,1),2487(a,2,1))]. 2546 T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). [hyper(255,a,1656,a(flip),b,2512,a(flip))]. 2547 T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). [para(18(a,1),2546(a,1,1,1)),flip(a)]. 2548 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). [para(2535(a,1),2514(a,1,1))]. 2549 ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). [hyper(255,a,2510,a(flip),b,2548,a(flip)),flip(a)]. 2550 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(2549(a,1),70(a,1,2))]. 2551 (x \ 1) \ (T(x,y) \ 1) = 1 / (x \ T(x,y)). [hyper(255,a,2179,a,b,2550,a),flip(a)]. 2552 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). [para(18(a,1),2547(a,1,1,1)),flip(a)]. 2553 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). [para(18(a,1),2552(a,2,2))]. 2555 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * (y * x). [para(18(a,1),2003(a,2,2))]. 2556 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = L(x,y,1 / y). [hyper(255,a,192,a(flip),b,2555,a)]. 2558 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | L(x,y,1 / y) = z. [para(2555(a,2),434(a,1))]. 2559 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | (1 / y) * (y * x) = z. [para(2556(a,2),366(a,1))]. 2560 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1158(a,1),2093(a,1,2,1)),flip(a)]. 2561 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(80,a,64,a(flip),b,2560,a),flip(a)]. 2562 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1150(a,1),2095(a,1,2,1)),flip(a)]. 2563 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(80,a,64,a(flip),b,2562,a),flip(a)]. 2564 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2563(a,1),24(a,1))]. 2565 x \ ((x * (y * T(y \ 1,x))) \ x) = (x * (y * T(y \ 1,x))) \ 1. [para(2144(a,1),2145(a,1,1)),flip(a)]. 2566 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(2144(a,1),2146(a,1,2)),flip(a)]. 2567 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(255,a,18,a(flip),b,2566,a)]. 2569 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(924(a,1),2567(a,1,1,2)),flip(a)]. 2570 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). [para(953(a,2),2567(a,1,1,2)),flip(a)]. 2571 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(255,a,924,a(flip),b,2569,a(flip))]. 2572 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(977,a,2570,a),flip(a)]. 2573 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(313,a,2572,a),flip(a)]. 2574 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(255,a,192,a(flip),b,2147,a)]. 2575 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(2144(a,1),2574(a,1,1)),flip(a)]. 2576 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(953(a,2),2575(a,1,1)),flip(a)]. 2577 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(953(a,2),2576(a,1,1,2)),flip(a)]. 2578 (T(x,y) \ x) * T(x \ 1,T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(185(a,1),2200(a,1,2))]. 2579 ((T(x,y) \ x) / x) * K(x \ 1,x) = (x \ 1) * (T(x,y) \ x). [hyper(225,a,2578,a),flip(a)]. 2581 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(21(a,1),2421(a,2,2,1,2,1))]. 2582 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(96,a,2581,a)]. 2583 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(16(a,1),2582(a,1,1,2,1,2,2)),flip(a)]. 2584 ((x * y) * L((x \ (z * u)) / y,y,x)) / u = ((x * y) / u) * ((y * (((x * y) / u) \ z)) / y). [para(782(a,2),2582(a,1,1,2))]. 2585 ((x * y) * ((y * ((x * y) \ x)) / y)) / x = ((x * y) / x) * ((((x * y) / x) \ y) / y). [para(1146(a,1),2583(a,1,2,1)),flip(a)]. 2586 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2427(a,1),2428(a,1,2,1)),flip(a)]. 2587 L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). [hyper(362,a,2460,a),flip(a)]. 2588 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. [hyper(255,a,1753,a(flip),b,2461,a)]. 2589 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(935(a,1),2462(a,2,2))]. 2590 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(255,a,1680,a(flip),b,2589,a)]. 2591 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(661,a,2590,a),flip(a)]. 2592 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(18(a,1),2590(a,1,2,1)),flip(a)]. 2593 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [para(2590(a,1),855(a,1,2)),flip(a)]. 2594 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(129(a,1),2591(a,2,1))]. 2595 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2592(a,2),1824(a,1,2))]. 2596 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(255,a,2112,a(flip),b,2594,a(flip)),flip(a)]. 2597 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2596(a,1),19(a,1,2))]. 2598 ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). [para(73(a,1),2596(a,1,2,2,2)),flip(a)]. 2599 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(18(a,1),2597(a,1,2,1)),flip(a)]. 2600 R(x,y,K(x,x \ 1)) = x. [hyper(454,a,2599,a)]. 2601 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = ((1 / x) * y) * K(x \ 1,x). [para(1529(a,1),2599(a,1,2)),flip(a)]. 2602 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2600(a,1),47(a,2,1))]. 2603 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(255,a,2111,a(flip),b,2602,a(flip))]. 2605 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1451(a,1),2603(a,1,2,2))]. 2606 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(225,a,2595,a)]. 2607 K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. [para(2595(a,1),225(a,1))]. 2608 L(x,y,K(x,x \ 1)) = x. [hyper(422,a,2606,a)]. 2609 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1529(a,1),2608(a,1,3))]. 2610 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2609(a,1),45(a,2,1))]. 2611 (1 / K(x,x \ 1)) * T(y,x) = T(((x \ 1) * x) * y,x). [para(281(a,1),2593(a,1,1,1)),flip(a)]. 2612 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(189(a,2),2611(a,2,1,1))]. 2613 T(K(x \ 1,x) * y,x) = ((x \ 1) * x) * T(y,x). [para(281(a,1),2612(a,1,1)),flip(a)]. 2614 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(189(a,2),2613(a,2,1))]. 2615 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2614(a,2),1407(a,1,2))]. 2616 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(225,a,2615,a)]. 2617 L(x,y,K(x \ 1,x)) = x. [hyper(422,a,2616,a)]. 2618 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2617(a,1),45(a,2,1))]. 2619 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(2157,a,2618,a)]. 2620 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(1009(a,1),2619(a,1,2)),flip(a)]. 2621 (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(382(a,1),2598(a,1,1)),flip(a)]. 2622 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2193(a,1),2601(a,2,1))]. 2623 (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(1533(a,1),2621(a,1,2,2))]. 2624 (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2587(a,2),2623(a,1,2))]. 2625 (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). [hyper(497,a,2624,a),flip(a)]. 2626 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(1529(a,1),2625(a,1,2))]. 2627 R(x,y,K(x \ 1,x)) = x. [hyper(454,a,2626,a)]. 2628 x * ((T(x,y) \ 1) * K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x). [para(1083(a,1),2626(a,1,1)),flip(a)]. 2629 R(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2627(a,1),47(a,2,1))]. 2630 x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. [para(2627(a,1),230(a,1,1))]. 2631 (T(x,y) \ 1) * K(x \ 1,x) = T(x,y) \ K(x \ 1,x). [para(2629(a,1),379(a,1,1)),flip(a)]. 2632 (T(x,y) \ x) * K(x \ 1,x) = x * (T(x,y) \ K(x \ 1,x)). [para(2631(a,1),2628(a,1,2)),flip(a)]. 2633 (T(x,y) \ x) * K(x \ 1,x) = T(x,y) \ (1 / (1 / x)). [hyper(255,a,1484,a(flip),b,2632,a)]. 2634 ((x * y) / x) * ((((x * y) / x) \ y) / y) = ((x * y) * L(1 / y,y,x)) / x. [para(763(a,1),2585(a,1,1,2)),flip(a)]. 2635 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * (y * (1 / y))) / x. [para(112(a,1),2634(a,2,1))]. 2636 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * K(y,y \ 1)) / x. [para(1448(a,2),2635(a,2,1,2))]. 2637 K(x,1 / ((y * x) / y)) = (y * K(x,x \ 1)) / y. [hyper(255,a,2102,a(flip),b,2636,a(flip)),flip(a)]. 2638 (x * K(x \ y,(x \ y) \ 1)) / x = K(x \ y,1 / (y / x)). [para(19(a,1),2637(a,1,2,2,1)),flip(a)]. 2639 (x * K(x \ y,y \ x)) / x = K(x \ y,1 / (y / x)). [para(2502(a,1),2638(a,1,1,2))]. 2640 (x * (1 / (1 / (x \ y)))) / y = K(y \ x,1 / (x / y)). [para(2527(a,1),2638(a,1,1))]. 2641 K(x \ y,1 / (y / x)) != z | K(x \ y,y \ x) = z. [para(2639(a,1),2520(a,1))]. 2642 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * (1 / (1 / K(x,(x / (y \ 1)) / x)))) / ((x * y) / x). [para(1911(a,2),2640(a,1,1,2,2,2)),flip(a)]. 2643 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(255,a,459,a(flip),b,653,a)]. 2644 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(839,a,2643,a)]. 2645 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(127(a,1),2644(a,1,2)),flip(a)]. 2646 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(255,a,1870,a(flip),b,1045,a(flip)),flip(a)]. 2648 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2646(a,1),789(a,1,1)),flip(a)]. 2649 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(255,a,570,a(flip),b,2648,a)]. 2650 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(255,a,1914,a(flip),b,2649,a(flip))]. 2651 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(839,a,1564,a),flip(a)]. 2652 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(656(a,1),2651(a,2,2))]. 2653 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(422,a,2652,a)]. 2654 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(255,a,1200,a(flip),b,2653,a),flip(a)]. 2655 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(67(a,1),2653(a,2,1,2))]. 2656 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(924(a,1),2653(a,1,1))]. 2657 L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). [para(20(a,1),2656(a,2,1,2))]. 2658 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(386(a,1),2656(a,2,1,2))]. 2659 L(x * T(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u. [para(2654(a,1),413(a,1))]. 2660 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2403(a,1),2658(a,1,1))]. 2661 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2506(a,1),2660(a,1,1))]. 2662 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2661(a,2),390(a,1,1)),flip(a)]. 2663 T(x,L(K(y,y \ 1),y,z)) = x. [para(2661(a,2),2256(a,1,2))]. 2665 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(255,a,2517,a(flip),b,2662,a(flip)),flip(a)]. 2666 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1638(a,1),1585(a,2,1))]. 2667 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1190(a,1),2666(a,2,1,1))]. 2668 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(255,a,35,a,b,2667,a),flip(a)]. 2669 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2667(a,2),466(a,1))]. 2670 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(255,a,1200,a(flip),b,2668,a),flip(a)]. 2671 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(67(a,1),2668(a,2,1,2))]. 2672 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1162(a,1),2668(a,2,1,2))]. 2673 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(225,a,2670,a),flip(a)]. 2675 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [hyper(255,a,953,a,b,979,a)]. 2676 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),((x * y) \ x) \ 1). [para(2675(a,1),129(a,1,1)),flip(a)]. 2677 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),y). [hyper(255,a,2553,a(flip),b,2676,a)]. 2678 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(189(a,2),1047(a,1,2,1,1))]. 2679 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(189(a,2),1049(a,1,2,1,1))]. 2680 (T(x,y) \ 1) * L(T(x,T(x,y) \ 1),z,u) = T(x,y) \ L(x,z,u). [para(19(a,1),1152(a,1,2,1)),flip(a)]. 2681 L(x,y,z) \ (T(x,u) \ L(x,y,z)) = T(x,u) \ 1. [hyper(80,a,2680,a(flip),b,183,a(flip))]. 2682 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1790(a,1),1178(a,1,1))]. 2683 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2469(a,1),2682(a,1,1))]. 2684 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1175(a,1),2683(a,2,1))]. 2685 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(2684(a,2),624(a,1))]. 2686 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(37(a,2),1215(a,1,1))]. 2687 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2159(a,1),2686(a,2,2))]. 2688 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(826(a,1),1396(a,1,2)),flip(a)]. 2689 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2654(a,1),1433(a,1,1))]. 2690 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(289(a,1),2689(a,1,1,1))]. 2691 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1424(a,1),2690(a,1,2))]. 2692 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [hyper(255,a,45,a,b,2691,a(flip)),flip(a)]. 2693 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1429(a,1),2692(a,2,1))]. 2694 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2258(a,1),2693(a,1,1))]. 2695 (x * y) * K(L(z,y,x) \ 1,z) = x * (y * K(z \ 1,z)). [para(2694(a,1),112(a,1,2))]. 2697 (x * y) * z != x * (y * K(u \ 1,u)) | K(L(u,y,x) \ 1,u) = z. [para(2695(a,1),24(a,1)),flip(a)]. 2698 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(105(a,1),2326(a,1,1))]. 2699 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(105(a,1),2698(a,1,2,1,1))]. 2700 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = (x \ 1) * (T(x,y) \ x). [hyper(255,a,2579,a(flip),b,2622,a)]. 2701 (1 / x) * ((T(x,y) \ x) * K(x \ 1,x)) = (x \ 1) * (T(x,y) \ x). [para(1529(a,1),2700(a,1,2,2))]. 2702 (1 / x) * (T(x,y) \ (1 / (1 / x))) = (x \ 1) * (T(x,y) \ x). [para(2633(a,1),2701(a,1,2))]. 2703 (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). [para(2300(a,1),2702(a,1,2))]. 2704 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(2199,a,2703,a),flip(a)]. 2705 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(80,a,2198,a(flip),b,2703,a(flip))]. 2707 T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). [hyper(284,a,2704,a),flip(a)]. 2708 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(255,a,2551,a(flip),b,2705,a(flip)),flip(a)]. 2709 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(255,a,2179,a(flip),b,2705,a(flip)),flip(a)]. 2710 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(2708(a,1),148(a,1,2,1))]. 2711 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(47(a,2),2709(a,1,1,2))]. 2712 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(129(a,1),2709(a,1,1,2)),flip(a)]. 2713 (x * T(x \ 1,y)) \ 1 = T(1 / x,y) \ (1 / x). [para(663(a,1),2709(a,1,1))]. 2714 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1923(a,1),2709(a,1,1,2)),flip(a)]. 2715 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(129(a,1),2712(a,1,1)),flip(a)]. 2716 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(18(a,1),2715(a,1,1,2)),flip(a)]. 2717 (x * T(x \ 1,y)) \ 1 = x \ (T(1 / x,y) \ 1). [hyper(255,a,2707,a(flip),b,2713,a)]. 2718 (x \ y) \ (T(1 / (x \ y),z) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1555(a,1),2717(a,1,1)),flip(a)]. 2719 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(18(a,1),2716(a,1,1)),flip(a)]. 2720 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(2719(a,1),70(a,1,2))]. 2722 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(18(a,1),2714(a,2,1))]. 2724 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(47(a,2),2711(a,2,1))]. 2725 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(255,a,1945,a(flip),b,2678,a)]. 2726 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(255,a,1934,a(flip),b,2679,a)]. 2727 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1018(a,1),2725(a,2,1))]. 2728 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(1017(a,1),2726(a,2,1))]. 2729 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(255,a,461,a(flip),b,772,a)]. 2730 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1391,a,2729,a)]. 2731 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1234(a,1),2730(a,2,1,1))]. 2732 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [para(37(a,2),1974(a,1,2,2,1)),flip(a)]. 2733 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(184(a,1),2732(a,2,2))]. 2734 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = L(T(x,y),y,K(z,z \ 1)). [hyper(2277,a,2276,a),flip(a)]. 2735 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(2287,a,2286,a),flip(a)]. 2736 ((x * y) / z) * ((y * (((x * y) / z) \ u)) / y) = (x * (y * ((x \ (u * z)) / y))) / z. [para(112(a,1),2584(a,1,1)),flip(a)]. 2737 x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T((1 / x) \ 1,y)). [para(73(a,1),1139(a,1,2,1)),flip(a)]. 2738 x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)). [para(73(a,1),2737(a,2,2,2,1))]. 2739 x * T(x \ T(x,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)). [para(73(a,1),2738(a,1,2,1,2,1))]. 2740 (1 / x) \ (x \ T(x,y)) = x * T(x \ T(x,y),x). [para(73(a,1),2739(a,1,2,2)),flip(a)]. 2741 (1 / x) \ (x \ T(x,y)) = (x \ T(x,y)) * x. [hyper(255,a,127,a(flip),b,2740,a)]. 2742 (x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ (x \ (x * K(x,y))). [para(1923(a,1),2741(a,1,2,2)),flip(a)]. 2743 (x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ K(x,y). [para(18(a,1),2742(a,2,2))]. 2745 (x \ (x * K(x,y))) * x = (1 / x) \ K(x,y). [para(1923(a,1),2743(a,1,1,2))]. 2746 (1 / x) \ K(x,y) = K(x,y) * x. [para(18(a,1),2745(a,1,1)),flip(a)]. 2748 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(18(a,1),1808(a,1,2,1)),flip(a)]. 2749 K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [hyper(255,a,1466,a(flip),b,1889,a)]. 2750 K(x,x \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [para(1888(a,1),2749(a,1,1))]. 2751 L(x \ y,x,K(x,x \ 1)) = K(x,x \ 1) * (((x \ 1) \ 1) \ y). [para(128(a,1),2750(a,1,2,1)),flip(a)]. 2752 a(x,x \ y,L(T(x,x \ y),z,u)) = (L(x,z,u) * y) \ (y * L(T(x,x \ y),z,u)). [para(19(a,1),2166(a,1,2,1)),flip(a)]. 2754 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(255,a,1734,a(flip),b,2470,a(flip))]. 2755 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(2183(a,1),2754(a,1,2))]. 2756 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(255,a,2211,a(flip),b,2755,a(flip))]. 2757 T(1 / (1 / x),y) \ T(x,y) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2756(a,1),2206(a,1))]. 2758 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1720(a,1),2657(a,1,1,2)),flip(a)]. 2759 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(60(a,1),2758(a,2,1))]. 2760 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(255,a,325,a(flip),b,2759,a)]. 2763 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2760(a,1),263(a,1,2)),flip(a)]. 2764 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(255,a,17,a(flip),b,2763,a)]. 2765 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2764(a,1),25(a,1)),flip(a)]. 2766 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1962(a,1),1920(a,1,2,1))]. 2767 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(20(a,1),2766(a,1,2)),flip(a)]. 2768 (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). [para(2767(a,1),19(a,1,2)),flip(a)]. 2770 (x \ 1) * K(R(x,y,z),x \ 1) != u | (x \ R(x,y,z)) / R(x,y,z) = u. [para(2767(a,1),220(a,1,2)),flip(b)]. 2771 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. [para(2768(a,2),222(a,1,2)),flip(b)]. 2772 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(2182(a,1),1290(a,1,1,2))]. 2773 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(939(a,1),2772(a,1,1,2)),flip(a)]. 2774 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(942(a,1),2773(a,2,1))]. 2775 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(407(a,1),2774(a,1,1))]. 2776 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(2757,a,2775,a)]. 2778 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(1111(a,1),2089(a,2,2,1))]. 2779 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1925(a,1),2778(a,1,1)),flip(a)]. 2780 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(255,a,2101,a(flip),b,2779,a(flip)),flip(a)]. 2781 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(765(a,1),2155(a,2,1))]. 2782 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(255,a,2688,a(flip),b,2781,a)]. 2783 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1773(a,1),2156(a,2,2,1))]. 2784 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(20(a,1),2783(a,2,2))]. 2785 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [hyper(255,a,2782,a(flip),b,2784,a(flip)),flip(a)]. 2787 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [para(2785(a,1),19(a,1,2))]. 2788 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(255,a,2525,a(flip),b,2787,a)]. 2789 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(22,a,1483,a,b,2788,a),flip(a)]. 2790 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(255,a,615,a(flip),b,2789,a)]. 2791 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2789(a,1),2511(a,1,2))]. 2792 L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). [hyper(255,a,2661,a,b,2790,a(flip)),flip(a)]. 2793 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(2790(a,1),1573(a,1,2))]. 2794 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(255,a,2500,a(flip),b,2792,a)]. 2795 K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). [para(2792(a,1),2665(a,2,1)),flip(a)]. 2797 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(1529(a,1),2794(a,1,1))]. 2798 K((x * y) \ x,y) = K(y \ 1,y). [hyper(255,a,2505,a(flip),b,2795,a(flip))]. 2800 K(x \ (x / y),y) = K(y \ 1,y). [para(21(a,1),2798(a,1,1,1))]. 2801 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(127(a,1),2798(a,1,1,1)),flip(a)]. 2802 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). [para(897(a,1),2800(a,1,1,2)),flip(a)]. 2803 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(37(a,1),2801(a,2,2)),flip(a)]. 2804 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(255,a,1529,a(flip),b,2797,a)]. 2805 (x * (y \ 1)) / K(y \ 1,y) = x * (1 / y). [para(2804(a,1),697(a,1,2))]. 2806 (x / (y \ 1)) * (1 / y) = x / K(y \ 1,y). [para(2804(a,1),699(a,1,2)),flip(a)]. 2807 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1764,a,2805,a)]. 2808 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(520,a,2805,a),flip(a)]. 2809 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(2805(a,1),21(a,1,1))]. 2810 (x * (1 / y)) * y = R(x,y \ 1,y). [para(2805(a,1),1763(a,1,1))]. 2812 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(1034,a,2807,a),flip(a)]. 2813 R(x / (1 / y),y \ 1,y) = x * y. [hyper(479,a,2812,a),flip(a)]. 2814 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [hyper(255,a,554,a(flip),b,2812,a(flip))]. 2815 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(70(a,1),2812(a,1,2)),flip(a)]. 2816 x \ R(x,y \ 1,y) = a(x,1 / y,y). [para(2812(a,1),648(a,1,2))]. 2817 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(2335(a,1),2810(a,1,1))]. 2818 L(a(x,1 / y,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2816(a,1),2406(a,1,1))]. 2820 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [para(2808(a,1),21(a,1,1))]. 2821 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2271,a,2809,a)]. 2822 R(x,1 / y,K(y \ 1,y)) = x. [hyper(758,a,2809,a)]. 2823 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1449(a,1),2822(a,1,3))]. 2824 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(255,a,1471,a(flip),b,2823,a(flip)),flip(a)]. 2825 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2823(a,1),1470(a,1,1)),flip(a)]. 2826 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(255,a,1367,a,b,2820,a(flip)),flip(a)]. 2827 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(255,a,1368,a(flip),b,2820,a(flip))]. 2829 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(255,a,2110,a(flip),b,2824,a(flip)),flip(a)]. 2830 x * K(y,y \ 1) != z * y | z * (1 / (1 / y)) = x. [para(2825(a,1),25(a,1)),flip(a)]. 2831 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2826(a,1),21(a,1,1))]. 2832 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2826(a,1),2813(a,1,1))]. 2833 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2271,a,2827,a)]. 2835 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(255,a,2538,a(flip),b,2829,a(flip)),flip(a)]. 2836 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(80,a,2829,a(flip),b,2538,a(flip)),flip(a)]. 2838 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(2528(a,1),2814(a,1,1)),flip(a)]. 2839 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(70(a,1),2835(a,1,2,2,2,2)),flip(a)]. 2841 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(70(a,1),2836(a,2,2,2,2))]. 2842 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2836(a,1),73(a,1,1))]. 2843 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(18(a,1),2839(a,2,2,2,2))]. 2844 (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). [para(2839(a,1),73(a,1,1))]. 2846 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(145(a,1),2842(a,1,1,2,2)),flip(a)]. 2847 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2542(a,2),2843(a,1,2))]. 2848 x / L(y,y \ 1,x) = x * (1 / y). [para(70(a,1),2847(a,2,2,2))]. 2849 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2848(a,2),615(a,1,1,2))]. 2850 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(255,a,2653,a,b,2849,a(flip)),flip(a)]. 2851 x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). [hyper(255,a,115,a,b,2850,a(flip)),flip(a)]. 2852 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(73(a,1),2850(a,1,2))]. 2853 (x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)). [para(37(a,2),2844(a,1,1,2,2,2))]. 2855 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2846(a,1),73(a,1,1))]. 2856 x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). [para(2846(a,1),148(a,1,2,1))]. 2857 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(255,a,2509,a,b,2855,a(flip)),flip(a)]. 2858 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2855(a,1),2521(a,1,2))]. 2859 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2857(a,2),19(a,1,2))]. 2861 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(2307,a,2859,a)]. 2862 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(2305,a,2859,a)]. 2863 x * T(x \ (x / y),y) = x / T(y,y \ 1). [hyper(255,a,601,a,b,2859,a)]. 2864 (x / y) * K(y \ 1,y) = x / T(y,y \ 1). [hyper(255,a,601,a,b,2861,a)]. 2865 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(20(a,1),2861(a,1,1)),flip(a)]. 2866 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2861(a,1),1758(a,1,1))]. 2867 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = x * (L(x,y,z) / T(x,x \ 1)). [para(2863(a,1),1427(a,1,2)),flip(a)]. 2868 (x / T(y,y \ 1)) * y = x * K(y \ 1,y). [para(2864(a,1),1758(a,1,1))]. 2869 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [para(2865(a,1),21(a,1,1))]. 2870 (x / ((y \ 1) \ 1)) * y = K(y \ 1,y) * x. [hyper(255,a,2263,a,b,2866,a)]. 2871 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(20(a,1),2866(a,1,1)),flip(a)]. 2872 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(602(a,1),2866(a,1,1)),flip(a)]. 2873 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(972(a,1),2866(a,1,1)),flip(a)]. 2874 x * ((y \ 1) \ 1) != z * y | z * K(y \ 1,y) = x. [para(2869(a,1),25(a,1)),flip(a)]. 2876 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2263(a,2),2869(a,1,1))]. 2877 (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. [para(2809(a,1),2869(a,1,1))]. 2878 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [para(602(a,1),2870(a,1,1)),flip(a)]. 2879 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(23,a,465,a,b,2871,a)]. 2880 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2872(a,1),25(a,1)),flip(a)]. 2881 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2872(a,1),2831(a,1,1)),flip(a)]. 2882 x * ((y \ 1) \ 1) != z * y | K(y \ 1,y) * z = x. [para(2876(a,1),25(a,1)),flip(a)]. 2884 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(468,a,2879,a)]. 2885 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [hyper(80,a,2879,a(flip),b,634,a),flip(a)]. 2886 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(2385(a,2),2879(a,1,2))]. 2887 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(255,a,2812,a,b,2884,a)]. 2888 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(1248(a,2),2887(a,1,3))]. 2889 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(70(a,1),2856(a,1,2,1,1,2)),flip(a)]. 2891 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2392(a,1),2881(a,1,1)),flip(a)]. 2892 a(x,y \ 1,(y \ 1) \ 1) = a(x,1 / y,y). [hyper(255,a,2816,a(flip),b,2885,a)]. 2893 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1197(a,1),2832(a,2,1))]. 2894 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(2500(a,1),2793(a,1,2))]. 2895 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2489(a,1),2894(a,2,2))]. 2896 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2492(a,1),2894(a,2,2))]. 2898 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2249,a,2895,a)]. 2899 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(308,a,2895,a),flip(a)]. 2900 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(255,a,2108,a,b,2895,a(flip)),flip(a)]. 2901 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(127(a,1),2895(a,1,1))]. 2903 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(2249,a,2896,a)]. 2904 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(308,a,2896,a),flip(a)]. 2905 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) = y. [hyper(80,a,2896,a(flip),b,2108,a)]. 2906 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [hyper(2607,a,2898,a)]. 2907 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2228(a,1),2899(a,1,2))]. 2908 (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(81,a,2297,a(flip),b,2900,a),flip(a)]. 2909 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(81,a,314,a(flip),b,2900,a),flip(a)]. 2910 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(23,a,2877,a(flip),b,2900,a)]. 2911 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(23,a,2876,a(flip),b,2900,a)]. 2912 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(23,a,2869,a(flip),b,2900,a)]. 2913 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2882,a,2900,a(flip))]. 2914 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(2874,a,2900,a(flip))]. 2915 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(2830,a,2911,a),flip(a)]. 2916 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(2249,a,2911,a)]. 2917 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(23,a,2377,a(flip),b,2911,a)]. 2918 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(23,a,2247,a(flip),b,2911,a)]. 2919 K(x,x \ 1) \ y = K(x \ 1,x) * y. [hyper(80,a,2911,a(flip),b,2247,a)]. 2920 ((x \ 1) * (x * y)) * K(x,x \ 1) = L(y,x,x \ 1). [para(433(a,1),2911(a,1,1))]. 2921 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2911(a,1),2252(a,2))]. 2924 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2249,a,2912,a)]. 2925 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(308,a,2912,a),flip(a)]. 2926 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(261,a,2912,a)]. 2927 (x / (1 / (1 / y))) * K(y \ 1,y) = x / y. [hyper(23,a,2829,a,b,2912,a)]. 2928 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(23,a,2247,a(flip),b,2912,a)]. 2929 K(x,x \ 1) \ y = y * K(x \ 1,x). [hyper(80,a,2912,a(flip),b,2247,a)]. 2930 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(2912(a,1),2252(a,2))]. 2931 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2913(a,1),24(a,1)),flip(a)]. 2932 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2913(a,1),114(a,2,1))]. 2933 R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)). [para(2914(a,1),123(a,2,1))]. 2934 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(310,a,2916,a),flip(a)]. 2936 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2821(a,1),2916(a,1,2))]. 2937 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2833(a,1),2916(a,1,2))]. 2938 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2918(a,1),24(a,1)),flip(a)]. 2939 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2918(a,1),2266(a,1)),flip(a),flip(b)]. 2941 L(x \ (y * K(z \ 1,z)),x,K(z,z \ 1)) = (K(z,z \ 1) * x) \ y. [para(2924(a,1),114(a,2,2))]. 2942 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(255,a,2806,a,b,2925,a(flip)),flip(a)]. 2943 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2928(a,1),123(a,2,1))]. 2944 K(x * y,(x * y) \ 1) * ((((x * y) \ 1) * x) * y) = a((x * y) \ 1,x,y). [hyper(912,a,2934,a),flip(a)]. 2945 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. [para(2934(a,1),2588(a,1,2,1))]. 2946 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2934(a,1),2727(a,1,2,1))]. 2947 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2934(a,1),2728(a,1,2,1))]. 2948 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [hyper(2607,a,2903,a)]. 2949 L(x,K(x,x \ 1),y) = x. [hyper(1468,a,2905,a)]. 2950 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1529(a,1),2949(a,1,2))]. 2951 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(2910(a,1),457(a,1,1))]. 2953 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2230(a,1),2937(a,1,2,2))]. 2954 K(x / (y * x),y) = K(y \ 1,y). [hyper(23,a,2399,a,b,2917,a),flip(a)]. 2955 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(21(a,1),2954(a,1,1,2)),flip(a)]. 2957 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(20(a,1),2955(a,2,1))]. 2958 K(x,T(x,y) \ 1) = K(x,x \ 1). [hyper(22,a,2352,a,b,2908,a),flip(a)]. 2959 T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). [hyper(255,a,2243,a,b,2958,a),flip(a)]. 2961 T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). [para(2776(a,1),2959(a,1,1))]. 2963 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2803(a,1),2791(a,1,2)),flip(a)]. 2964 (x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)). [para(2230(a,1),2853(a,1,1,2))]. 2965 K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)). [hyper(255,a,2780,a,b,2961,a(flip))]. 2966 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. [para(127(a,1),2964(a,1,1)),flip(a)]. 2967 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). [para(2966(a,1),73(a,1,1))]. 2968 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. [para(70(a,1),2967(a,1,1,1,1,2)),flip(a)]. 2969 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [para(2968(a,1),73(a,1,1))]. 2971 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). [hyper(255,a,2958,a(flip),b,2965,a(flip)),flip(a)]. 2972 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [para(199(a,1),2971(a,2,2))]. 2973 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(255,a,2776,a(flip),b,2972,a(flip)),flip(a)]. 2974 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(939(a,1),2852(a,1,1))]. 2975 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(255,a,784,a(flip),b,2974,a(flip))]. 2976 T(K(1 / (1 / x),y),x) = K(x,y). [para(2975(a,2),166(a,1,1))]. 2977 T(K(1 / x,y),x \ 1) = K(x \ 1,y). [para(70(a,1),2976(a,1,1,1,2))]. 2978 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(199(a,1),2976(a,1,1,1,2))]. 2979 K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). [para(2977(a,1),1801(a,1,2)),flip(a)]. 2980 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(70(a,1),2978(a,1,1,1))]. 2981 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(255,a,1799,a(flip),b,2980,a(flip))]. 2982 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(70(a,1),2888(a,2,2))]. 2983 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(128(a,2),2982(a,1,2))]. 2985 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2776(a,1),2901(a,1,2))]. 2986 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(255,a,2231,a(flip),b,2985,a)]. 2987 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(2973(a,1),2986(a,1,2))]. 2989 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y). [para(200(a,1),2907(a,1,1)),flip(a)]. 2990 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2903(a,1),2946(a,1,2,1))]. 2991 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(2903(a,1),2947(a,1,2,1))]. 2992 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2904(a,1),2991(a,1,2,1))]. 2993 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = x * ((x \ 1) * L(x,y,z)). [para(1850(a,1),2867(a,2,2))]. 2994 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = L(L(x,y,z),x \ 1,x). [hyper(255,a,190,a(flip),b,2993,a)]. 2995 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = L(1 / (1 / x),y,z). [hyper(255,a,1497,a(flip),b,2994,a)]. 2996 L(x,y,z) * (T(1 / x,L(x,y,z)) * x) = L(1 / (1 / x),y,z). [para(1042(a,1),2995(a,1,2,1))]. 2997 L(x,y,z) * (x * T(x \ 1,L(x,y,z))) = L(1 / (1 / x),y,z). [para(396(a,1),2996(a,1,2))]. 2999 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y). [para(2228(a,1),2989(a,2,2,1))]. 3000 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(255,a,182,a(flip),b,2999,a)]. 3001 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(1529(a,1),2953(a,1,1))]. 3002 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1117(a,1),2802(a,2,1))]. 3003 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(255,a,2544,a(flip),b,3002,a)]. 3004 T(K(x \ 1,x),((y * x) / y) \ x) = K(x \ (((y * x) / y) \ x),x). [para(19(a,1),2313(a,1,1))]. 3005 K(x \ (((y * x) / y) \ x),x) = K(x \ 1,x). [hyper(255,a,2258,a(flip),b,3004,a(flip))]. 3008 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2910(a,1),2951(a,1,2)),flip(a)]. 3009 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(255,a,35,a,b,3008,a)]. 3011 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,(z \ 1) \ 1)) = R(x,y,1 / (z \ 1)). [para(128(a,2),3009(a,1,2,2))]. 3012 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). [para(1451(a,1),3011(a,1,3))]. 3013 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). [para(70(a,1),3012(a,2,3))]. 3014 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2605(a,1),1641(a,1,2,2,2)),flip(a)]. 3015 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2950(a,1),3014(a,1,1)),flip(a)]. 3017 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2030(a,1),2160(a,1,2))]. 3018 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(710,a,3017,a),flip(a)]. 3019 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(255,a,2687,a(flip),b,3018,a(flip)),flip(a)]. 3020 K(x,y / (x * y)) = K(x,x \ 1). [hyper(255,a,2383,a(flip),b,3019,a(flip))]. 3022 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(255,a,2957,a,b,3020,a(flip)),flip(a)]. 3023 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(21(a,1),3020(a,1,2,2)),flip(a)]. 3024 K((x / y) \ 1,x / y) = K(y / x,(y / x) \ 1). [hyper(255,a,2955,a,b,3023,a),flip(a)]. 3026 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(3022(a,1),2384(a,1,1))]. 3027 K(x \ 1,x) * (T(x,x \ 1) * y) = x * y. [hyper(2921,a,3026,a)]. 3028 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2253,a,3026,a)]. 3029 T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. [hyper(533,a,3026,a)]. 3030 L(x,y,K(y,y \ 1)) = x. [hyper(1467,a,3026,a(flip))]. 3031 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(255,a,1823,a(flip),b,3026,a(flip)),flip(a)]. 3032 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(81,a,3026,a(flip),b,1823,a(flip))]. 3035 L(x,K(y,y \ 1),y) = x. [hyper(255,a,1830,a,b,3030,a(flip)),flip(a)]. 3036 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(255,a,2751,a(flip),b,3030,a(flip)),flip(a)]. 3037 L(x,K(y,y \ 1),1 / (1 / y)) = x. [hyper(255,a,1899,a(flip),b,3030,a(flip)),flip(a)]. 3038 L(x,K(y \ 1,y),1 / y) = x. [hyper(255,a,1832,a(flip),b,3030,a(flip)),flip(a)]. 3039 L(x,1 / y,K(1 / y,y)) = x. [para(73(a,1),3030(a,1,3,2))]. 3040 L(x,1 / y,K(y \ 1,y)) = x. [para(1529(a,1),3030(a,1,3))]. 3042 x * (((x \ 1) \ 1) \ y) = K(x,x \ 1) \ y. [hyper(255,a,1796,a(flip),b,3035,a(flip)),flip(a)]. 3043 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(2559,a,3038,a)]. 3044 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(2558,a,3038,a)]. 3046 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(80,a,3038,a(flip),b,2555,a(flip))]. 3047 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(3038(a,1),696(a,1,2)),flip(a)]. 3048 L(x,y,y \ 1) != z | (1 / y) * (y * x) = z. [para(3038(a,1),2559(a,1))]. 3049 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1534(a,1),3039(a,1,3))]. 3050 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(255,a,2098,a(flip),b,3040,a(flip)),flip(a)]. 3051 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(3040(a,1),1487(a,1,2)),flip(a)]. 3052 L(x \ y,x,x \ 1) = (1 / x) * y. [para(3040(a,1),1994(a,1,1,2))]. 3053 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [hyper(651,a,3044,a),flip(a)]. 3055 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(70(a,1),3044(a,1,3)),flip(a)]. 3056 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(3044(a,1),689(a,2,1))]. 3058 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [para(3037(a,1),1469(a,1,2)),flip(a)]. 3060 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(190(a,1),3043(a,1,2)),flip(a)]. 3061 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(3043(a,1),268(a,1,1))]. 3062 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(3043(a,1),2969(a,1,1,1,1))]. 3063 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(3049(a,1),1507(a,1,2)),flip(a)]. 3064 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [hyper(255,a,140,a(flip),b,3052,a)]. 3065 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(3052(a,1),2620(a,1,2))]. 3067 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(1408,a,3027,a),flip(a)]. 3068 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [para(128(a,1),3027(a,1,2,1))]. 3069 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(255,a,273,a(flip),b,3028,a)]. 3070 x * (y * K(x,x \ 1)) = T(x,x \ 1) * y. [hyper(255,a,2599,a(flip),b,3028,a(flip)),flip(a)]. 3072 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2924(a,1),3029(a,1,2)),flip(a)]. 3074 R(x,K(x,x \ 1),y) = x. [hyper(1528,a,3032,a)]. 3075 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1529(a,1),3074(a,1,2))]. 3076 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(3075(a,1),2670(a,1,1)),flip(a)]. 3077 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [hyper(2930,a,3036,a)]. 3078 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(2921,a,3036,a)]. 3080 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(3036(a,1),2906(a,1,1)),flip(a)]. 3082 x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x). [hyper(255,a,2929,a(flip),b,3042,a)]. 3083 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(80,a,2919,a(flip),b,3042,a)]. 3084 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [hyper(255,a,2281,a(flip),b,3047,a(flip)),flip(a)]. 3086 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). [para(2833(a,1),3047(a,1,2))]. 3087 (x \ 1) * (y * T(x,x \ 1)) = (1 / x) * (y * x). [para(2878(a,1),3047(a,1,2)),flip(a)]. 3088 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2918(a,1),3047(a,1,2)),flip(a)]. 3090 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2938,a,3050,a)]. 3091 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(2931,a,3050,a)]. 3092 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(2267,a,3050,a)]. 3094 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(3050(a,1),2096(a,1,2))]. 3096 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2938,a,3051,a)]. 3097 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(2931,a,3051,a)]. 3098 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(2267,a,3051,a)]. 3099 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(3051(a,1),35(a,2,2)),flip(a)]. 3100 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(3051(a,1),484(a,1,1))]. 3101 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(3051(a,1),424(a,1,1))]. 3103 ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. [para(3051(a,1),2876(a,1,1))]. 3104 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(80,a,19,a(flip),b,3058,a),flip(a)]. 3105 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [para(2916(a,1),3058(a,1,2)),flip(a)]. 3106 x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. [para(2924(a,1),3058(a,1,2)),flip(a)]. 3107 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(2930,a,3063,a)]. 3108 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(263(a,1),3063(a,1,2))]. 3109 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(255,a,273,a(flip),b,3067,a(flip)),flip(a)]. 3110 (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). [para(3067(a,1),598(a,1,1))]. 3111 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x. [para(3068(a,1),2266(a,1)),flip(a),flip(b)]. 3112 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(22,a,2987,a,b,3069,a),flip(a)]. 3113 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [hyper(255,a,2599,a(flip),b,3069,a(flip)),flip(a)]. 3116 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(255,a,2972,a,b,3112,a(flip)),flip(a)]. 3120 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(80,a,3116,a(flip),b,1448,a(flip))]. 3123 (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). [para(3116(a,1),2910(a,1,2))]. 3124 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(3116(a,1),3000(a,1,2))]. 3125 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1460,a,3120,a)]. 3126 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(255,a,2246,a(flip),b,3120,a(flip)),flip(a)]. 3127 (1 / T(x,y)) * x = T(x,y) \ x. [para(3126(a,1),21(a,1,1))]. 3128 x / T(x,y) = T(x,y) \ x. [hyper(1350,a,3127,a)]. 3129 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(172,a,3127,a,b,1083,a)]. 3132 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(255,a,2020,a,b,3128,a(flip)),flip(a)]. 3133 (T(x,y) \ x) * T(x,y) = x. [para(3128(a,1),21(a,1,1))]. 3134 (T(x,y) \ x) \ x = T(x,y). [para(3128(a,1),73(a,1,1))]. 3135 L(x,T(x,y) \ x,x) = x. [hyper(255,a,2452,a,b,3133,a(flip)),flip(a)]. 3137 (x * y) * T(K(y,x),x) = y * x. [para(3135(a,1),2451(a,1,2)),flip(a)]. 3138 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(255,a,2291,a,b,3129,a(flip)),flip(a)]. 3139 T(K(x,y),y) = K(x,y). [hyper(265,a,3137,a),flip(a)]. 3140 T(x,K(y,x)) = x. [hyper(40,a,3139,a)]. 3141 K(x,y) * y = y * K(x,y). [para(3139(a,1),127(a,1,2)),flip(a)]. 3142 (x * K(y,x)) / x = K(y,x). [para(3139(a,1),167(a,1,1,2))]. 3143 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(3139(a,1),183(a,1,2,1)),flip(a)]. 3144 T(T(x,y),K(z,x)) = T(x,y). [para(3140(a,1),43(a,1,1)),flip(a)]. 3145 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(3140(a,1),183(a,1,2,1)),flip(a)]. 3146 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(3140(a,1),184(a,1,2,1)),flip(a)]. 3147 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(3140(a,1),361(a,1,2,1))]. 3148 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(3140(a,1),395(a,1,2,1,1)),flip(a)]. 3149 R(T(x,y),z,u) * K(w,x) = K(w,x) * R(T(x,y),z,u). [para(3140(a,1),576(a,1,2,1,1)),flip(a)]. 3150 T(x,y * T(y \ 1,x)) = x. [para(1200(a,1),3140(a,1,2))]. 3151 T(x,y \ T(y,x)) = x. [para(1204(a,1),3140(a,1,2))]. 3152 T(x,x \ ((y * x) / y)) = x. [para(1575(a,1),3140(a,1,2))]. 3153 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(3140(a,1),2645(a,1,1,1)),flip(a)]. 3154 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(3151(a,1),127(a,1,2))]. 3155 (x \ T(x,y)) * T(y,z) != u | T(y,z) * (x \ T(x,y)) = u. [para(3151(a,1),361(a,1,2,1))]. 3156 (x * K(y,x)) * L(z,x,K(y,x)) = K(y,x) * (x * z). [para(3141(a,1),112(a,1,1))]. 3157 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(3141(a,1),122(a,1,2))]. 3159 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(3141(a,1),454(a,2,2))]. 3160 ((x * K(y,z)) * z) / (z * K(y,z)) != u | R(x,K(y,z),z) = u. [para(3141(a,1),466(a,1,2))]. 3161 L(K(x,y),y,1 / y) = K(x,y). [hyper(255,a,2577,a,b,3142,a(flip)),flip(a)]. 3162 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(255,a,1376,a,b,3142,a(flip)),flip(a)]. 3163 R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). [para(3142(a,1),450(a,1,1,1))]. 3164 T(K(x,y),T(y,z)) = K(x,y). [hyper(40,a,3144,a)]. 3165 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(3144(a,1),361(a,1,2,1))]. 3166 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(40,a,3150,a)]. 3167 ((x * y) / x) / y = y \ ((x * y) / x). [para(3152(a,1),199(a,1,2))]. 3168 K(K(x,y),T(y,z)) = 1. [hyper(41,a,3164,a)]. 3169 K(x \ T(x,y),T(y,z)) = 1. [para(1204(a,1),3168(a,1,1))]. 3170 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(42,a,3169,a)]. 3171 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(366,a,3161,a)]. 3172 (1 / x) \ K(y,x) = x * K(y,x). [hyper(80,a,3161,a(flip),b,192,a)]. 3174 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(80,a,3171,a(flip),b,140,a(flip)),flip(a)]. 3175 K(x \ 1,x) * K(y,x) = (x \ 1) * (x * K(y,x)). [para(3171(a,1),3051(a,1,2))]. 3177 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [para(3138(a,1),21(a,1,1))]. 3178 x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x). [para(3154(a,1),1101(a,1,2,2))]. 3179 x * (((y * x) / y) / x) = (y * x) / y. [para(3167(a,2),19(a,1,2))]. 3180 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(787(a,1),3167(a,1,1)),flip(a)]. 3181 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(315,a,3177,a)]. 3182 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [para(3177(a,1),687(a,1,2))]. 3184 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1624(a,1),3179(a,1,2))]. 3186 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [hyper(255,a,2803,a,b,3181,a(flip)),flip(a)]. 3187 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(255,a,3003,a(flip),b,3181,a(flip))]. 3188 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3181(a,1),2234(a,1,2))]. 3189 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(3181(a,1),2915(a,1,1))]. 3190 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3181(a,1),2963(a,2,2))]. 3191 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(3181(a,1),3001(a,1,1))]. 3192 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [para(564(a,1),3070(a,2,1))]. 3193 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [para(18(a,1),3077(a,1,1)),flip(a)]. 3194 (x \ y) * K(x \ 1,(x \ 1) \ 1) = ((x \ 1) \ 1) \ y. [para(1451(a,2),3077(a,1,2))]. 3195 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(255,a,956,a(flip),b,3078,a(flip)),flip(a)]. 3196 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(3078(a,1),2267(a,1))]. 3197 K(x \ 1,x) * (T(x,y) \ z) = ((T(x,y) \ 1) \ 1) \ z. [para(3181(a,1),3078(a,1,1))]. 3198 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) \ x = z. [para(3082(a,1),24(a,1))]. 3199 L(x,((y \ 1) \ 1) \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(383(a,1),3082(a,1,2)),flip(a)]. 3200 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1524(a,1),3083(a,1,2,1))]. 3201 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [para(3050(a,1),3083(a,1,2)),flip(a)]. 3202 T((x \ 1) * y,K(z \ 1,z)) = (1 / x) * (y * K(x \ 1,x)). [hyper(255,a,2256,a,b,3084,a),flip(a)]. 3203 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(2015,a,3088,a),flip(a)]. 3204 L(K(x,x \ 1) * y,x \ 1,x) = x * ((1 / x) * y). [para(3088(a,1),190(a,1,2)),flip(a)]. 3205 ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). [hyper(255,a,3172,a(flip),b,3092,a)]. 3206 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(255,a,2263,a(flip),b,3094,a)]. 3207 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1334(a,1),3094(a,1,2)),flip(a)]. 3208 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(1828,a,3096,a)]. 3209 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(3096(a,1),143(a,1,1,2))]. 3210 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3096(a,1),431(a,1,2,2))]. 3211 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1016,a,3208,a)]. 3212 L(x,T(y,y \ z) \ 1,T(y,y \ z)) = L(x,1 / T(y,y \ z),(y \ z) \ z). [hyper(255,a,1978,a(flip),b,3211,a(flip))]. 3213 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(70(a,1),3211(a,1,2)),flip(a)]. 3214 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,1 / T(y,y \ z),(y \ z) \ z). [para(601(a,2),3211(a,1,2)),flip(a)]. 3215 ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). [hyper(81,a,3097,a(flip),b,2942,a)]. 3216 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [hyper(2921,a,3104,a)]. 3217 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(3104(a,1),2906(a,1,1))]. 3218 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(1409,a,3105,a),flip(a)]. 3219 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(3181(a,1),3105(a,1,2,1))]. 3220 (1 / (1 / x)) * (y / (1 / (1 / x))) = x * (y / x). [para(2927(a,1),3106(a,1,2)),flip(a)]. 3221 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2789(a,1),3107(a,1,2))]. 3222 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(3107(a,1),2831(a,1,1))]. 3223 T(x,L(K(y,x),z,u)) = x. [hyper(173,a,3143,a)]. 3225 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(3146(a,1),24(a,1)),flip(a)]. 3227 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(3166(a,1),1413(a,1,2)),flip(a)]. 3228 (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). [hyper(2770,a,3174,a)]. 3229 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(3182(a,2),1083(a,1,2))]. 3232 x * (T(x,y) / x) = T(x,y). [hyper(23,a,2023,a,b,3188,a),flip(a)]. 3234 T(x,y) / x = x \ T(x,y). [hyper(87,a,3232,a),flip(a)]. 3236 (x \ T(x,y)) * x = T(x,y). [para(3232(a,1),75(a,1,1,2))]. 3237 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(1862,a,3234,a),flip(a)]. 3238 (1 / x) * T(x,y) = x \ T(x,y). [hyper(1371,a,3234,a)]. 3239 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(943,a,3234,a)]. 3240 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(874,a,3234,a),flip(a)]. 3241 (x \ T(x,y)) * x != z | T(x,y) = z. [para(3234(a,1),226(a,1,1)),flip(b)]. 3242 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(3234(a,1),123(a,1,1))]. 3243 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(3234(a,1),474(a,1,1))]. 3246 (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. [para(3234(a,1),2204(a,1,1))]. 3247 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3234(a,1),2586(a,1,1,2))]. 3248 T(x,x \ T(x,y)) = x. [hyper(286,a,3236,a)]. 3249 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(255,a,1597,a,b,3236,a(flip)),flip(a)]. 3250 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3236(a,1),33(a,2,1)),flip(a)]. 3251 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(128(a,1),3236(a,1,1,2))]. 3252 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(3236(a,1),112(a,1,1))]. 3253 R(x,y \ T(y,z),y) * T(y,z) = (x * (y \ T(y,z))) * y. [para(3236(a,1),122(a,1,2))]. 3254 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(3236(a,1),466(a,1,1,1))]. 3255 T(x,y) = K(y \ (y / (x \ 1)),y) * x. [para(1204(a,2),3236(a,1,1)),flip(a)]. 3256 L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). [para(3236(a,1),864(a,1,1)),flip(a)]. 3257 K(x,x \ T(x,y)) = 1. [hyper(41,a,3248,a)]. 3258 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1204(a,2),3248(a,1,2))]. 3259 K(x,T(x,y) / x) = 1. [para(3234(a,2),3257(a,1,2))]. 3260 T(1 / x,T(x,y)) = x \ 1. [hyper(80,a,3259,a(flip),b,1135,a),flip(a)]. 3261 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(255,a,73,a(flip),b,3260,a)]. 3262 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(255,a,1863,a(flip),b,3260,a(flip)),flip(a)]. 3263 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3260(a,1),185(a,1,1)),flip(a)]. 3264 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3260(a,1),352(a,2,1))]. 3265 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3260(a,1),1206(a,1,1)),flip(a)]. 3266 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(255,a,1289,a(flip),b,3258,a(flip)),flip(a)]. 3267 T(x,T(1 / x,y)) = T(x,x \ 1). [para(3261(a,1),1440(a,1,1)),flip(a)]. 3271 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3267(a,1),1898(a,1,1))]. 3273 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,K(x \ (x / (y \ 1)),x) * y). [para(3255(a,2),566(a,1,2,2))]. 3275 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(3266(a,1),19(a,1,2))]. 3276 x / ((y * x) / y) = ((y * x) / y) \ x. [para(3266(a,1),70(a,1,2))]. 3277 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1159(a,1),3266(a,1,1,1,1))]. 3279 (((x * y) / x) \ y) / y = 1 / ((x * y) / x). [hyper(81,a,3276,a(flip),b,1628,a)]. 3280 T(x,x / (y * x)) = T(x,x / (x * y)). [para(163(a,1),3249(a,1,2))]. 3283 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(167(a,1),3262(a,1,3,2))]. 3284 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2396(a,1),3195(a,1,2))]. 3285 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(447,a,3213,a),flip(a)]. 3286 K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). [para(2746(a,1),3216(a,1,2))]. 3287 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(255,a,2915,a(flip),b,3218,a)]. 3289 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3240(a,1),666(a,2,1)),flip(a)]. 3290 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(3240(a,1),2709(a,1,1))]. 3292 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3263(a,1),3265(a,1,2)),flip(a)]. 3293 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(255,a,289,a(flip),b,3292,a)]. 3296 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3293(a,1),1015(a,1,1,2))]. 3297 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(3056(a,1),3275(a,1,1,1,1))]. 3298 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3237(a,1),2708(a,1,2)),flip(a)]. 3299 T(x,y \ ((x * y) / x)) = x. [para(3237(a,1),3248(a,1,2))]. 3300 T(x,T(y,x) \ y) = x. [para(167(a,1),3299(a,1,2,2))]. 3301 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(3300(a,1),127(a,1,2))]. 3303 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(255,a,1861,a,b,3301,a(flip)),flip(a)]. 3304 x \ ((x * (T(y,x) \ y)) \ x) = ((T(y,x) \ y) * x) \ 1. [para(3301(a,1),2002(a,1,2,1))]. 3305 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3301(a,1),2162(a,1,1,2,1))]. 3306 L(x,x \ T(x,y),x) = x. [hyper(255,a,70,a(flip),b,3256,a)]. 3308 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(3193(a,1),3285(a,1,1))]. 3309 K(1 / x,y) = K(x \ 1,y). [hyper(255,a,2850,a(flip),b,3289,a(flip)),flip(a)]. 3310 K(1 / (1 / x),y) = K(x,y). [hyper(255,a,616,a(flip),b,3309,a)]. 3311 K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [hyper(255,a,1002,a(flip),b,3309,a(flip))]. 3312 K((x \ 1) \ 1,y) = K(x,y). [para(70(a,1),3309(a,1,1)),flip(a)]. 3314 K(T(1 / x,y) \ 1,z) = K(T(x \ 1,y) \ 1,z). [para(2226(a,1),3309(a,1,1))]. 3315 T(K(x,y),x) = K(x,y). [para(3310(a,1),2976(a,1,1))]. 3316 T(x,K(x,y)) = x. [hyper(40,a,3315,a)]. 3317 K(T(x,x \ 1),y) = K(x,y). [hyper(255,a,2981,a,b,3315,a(flip)),flip(a)]. 3318 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(255,a,2677,a,b,3315,a(flip)),flip(a)]. 3319 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3315(a,1),184(a,1,2,1)),flip(a)]. 3321 T(T(x,y),K(x,z)) = T(x,y). [para(3316(a,1),43(a,1,1)),flip(a)]. 3322 K(x,y) * x != z | x * K(x,y) = z. [para(3316(a,1),225(a,1,2))]. 3323 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3316(a,1),182(a,1,2,1)),flip(a)]. 3324 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3316(a,1),183(a,1,2,1)),flip(a)]. 3325 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3316(a,1),184(a,1,2,1)),flip(a)]. 3326 T((x * y) / x,K(y,z)) = (x * y) / x. [para(3316(a,1),404(a,1,1,2)),flip(a)]. 3327 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(3316(a,1),362(a,1,2,1))]. 3330 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(2969(a,1),3312(a,1,1)),flip(a)]. 3332 T(K(x,y),T(x,z)) = K(x,y). [hyper(40,a,3321,a)]. 3335 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3332(a,1),225(a,1,2))]. 3336 T(K(x,y),(z * x) / z) = K(x,y). [hyper(40,a,3326,a)]. 3337 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(747,a,3319,a),flip(a)]. 3338 T(x,R(K(x,y),z,u)) = x. [hyper(173,a,3319,a)]. 3339 K(x,R(K(x,y),z,u)) = 1. [hyper(41,a,3338,a)]. 3340 R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). [para(3338(a,1),183(a,1,2,1))]. 3341 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(173,a,3325,a)]. 3342 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(255,a,3187,a(flip),b,3024,a(flip))]. 3343 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(255,a,3186,a(flip),b,3342,a)]. 3344 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(3342(a,2),2791(a,1,2))]. 3345 T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). [hyper(255,a,2256,a,b,3086,a),flip(a)]. 3347 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [hyper(81,a,2572,a(flip),b,3103,a(flip)),flip(a)]. 3348 T(x \ 1,T(x,y) \ x) = x \ 1. [para(3132(a,1),2341(a,1,2))]. 3349 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3132(a,1),2817(a,1,1,2)),flip(a)]. 3350 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(40,a,3348,a)]. 3351 (T(x,y) \ x) * (x \ 1) = (x \ 1) * (T(x,y) \ x). [para(3348(a,1),127(a,1,2))]. 3352 (K(x,y) \ y) * K(x,y) = y. [hyper(22,a,104,a(flip),b,3153,a)]. 3353 x / K(y,x) = K(y,x) \ x. [hyper(96,a,3352,a)]. 3355 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(23,a,2891,a,b,3222,a)]. 3356 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(263(a,1),3222(a,1,1)),flip(a)]. 3357 L(x,y,z) * (T(x,u) * T(T(x,u) \ 1,L(x,y,z))) = T(x,u) * ((T(x,u) \ 1) * L(x,y,z)). [para(2681(a,1),3227(a,1,2,1)),flip(a)]. 3358 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(2630,a,3229,a)]. 3359 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(255,a,273,a(flip),b,3271,a(flip)),flip(a)]. 3360 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(22,a,3031,a,b,3271,a(flip)),flip(a)]. 3361 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3271(a,1),599(a,1,1))]. 3363 (x \ y) * K(x \ 1,x) = y * (((y \ (x \ y)) \ 1) \ 1). [hyper(255,a,3077,a,b,3284,a),flip(a)]. 3364 (((x \ 1) \ 1) \ y) / y = (((x \ y) / y) \ 1) \ 1. [hyper(81,a,3284,a(flip),b,2238,a)]. 3365 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(73(a,1),3284(a,1,2,1,1,2)),flip(a)]. 3366 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(149(a,1),3284(a,1,2,1,1,2))]. 3367 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(37(a,2),3287(a,1,2))]. 3368 T(x,1 / (1 / y)) = T(x,y). [hyper(358,a,3367,a),flip(a)]. 3370 T(x,1 / y) = T(x,y \ 1). [para(70(a,1),3368(a,1,2,2))]. 3371 T(x,(y \ 1) \ 1) = T(x,y). [para(145(a,1),3368(a,1,2)),flip(a)]. 3373 T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). [hyper(255,a,715,a(flip),b,3370,a(flip))]. 3376 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). [para(3371(a,1),127(a,1,2))]. 3377 T(x,T(y,y \ 1)) = T(x,y). [para(128(a,2),3371(a,1,2))]. 3378 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(1248(a,2),3371(a,1,2))]. 3385 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(3377(a,1),127(a,1,2))]. 3386 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [para(3377(a,1),595(a,1,2))]. 3388 (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(3386(a,2),499(a,2,1))]. 3389 T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(3203(a,1),3373(a,1,1,1))]. 3390 T(x \ 1,y) \ (x \ 1) = x \ (T(1 / x,y) \ 1). [hyper(255,a,2717,a(flip),b,3290,a(flip))]. 3391 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1062(a,2),3290(a,1,1)),flip(a)]. 3392 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1555(a,1),3290(a,1,1)),flip(a)]. 3393 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(3343(a,1),1456(a,1,1))]. 3394 (T(x,y) \ x) * (x \ 1) = T(x,y) \ 1. [hyper(255,a,2704,a(flip),b,3351,a)]. 3395 T(1 / (1 / x),y / (y * x)) = x. [hyper(172,a,3355,a,b,xx)]. 3397 T(1 / (1 / x),(y / x) / y) = x. [para(21(a,1),3395(a,1,2,2))]. 3398 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(3397(a,1),168(a,1,2,2))]. 3399 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(3358(a,1),3084(a,1,2)),flip(a)]. 3400 ((((1 / x) \ y) / y) \ 1) \ 1 = ((x \ 1) \ y) / y. [para(73(a,1),3364(a,1,1,1,1)),flip(a)]. 3401 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(3365(a,1),70(a,1,2))]. 3402 (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. [para(2104(a,2),3398(a,1,2))]. 3403 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(18(a,1),3401(a,1,2,2,1,1))]. 3404 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2238(a,2),3401(a,1,2))]. 3405 T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). [hyper(255,a,2529,a,b,3403,a),flip(a)]. 3406 x / (x * T(y,y \ 1)) = T(x / (x * y),y). [para(128(a,2),3405(a,2,2,2)),flip(a)]. 3407 T(x / (x * y),y) \ x = x * T(y,y \ 1). [para(3406(a,1),73(a,1,1))]. 3408 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [para(20(a,1),3404(a,1,2,1,1,1))]. 3409 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [hyper(3111,a,3205,a)]. 3410 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(255,a,3113,a,b,3409,a(flip)),flip(a)]. 3412 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(255,a,2720,a(flip),b,3298,a)]. 3413 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(80,a,3412,a(flip),b,1083,a),flip(a)]. 3414 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(167(a,1),3412(a,2,1))]. 3415 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(3206(a,2),3308(a,1,1))]. 3416 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(3413(a,1),2241(a,1,2))]. 3417 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(167(a,1),3416(a,1,2,2,1))]. 3418 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(954(a,1),3417(a,1,2,2,2))]. 3419 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. [hyper(81,a,3414,a(flip),b,3127,a),flip(a)]. 3420 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3303(a,1),3414(a,1,1))]. 3421 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(3420(a,1),70(a,1,2))]. 3422 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(954(a,1),3421(a,1,2,2))]. 3423 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3060(a,2),2324(a,1,1))]. 3424 (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). [para(1111(a,1),3123(a,1,1))]. 3425 (R(T(x,y),z,u) * K(w,x)) * v5 = (K(w,x) * R(T(x,y),z,u)) * v5. [hyper(27,a,3149,a)]. 3427 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2230(a,1),3189(a,2,2))]. 3429 K(x \ 1,x) * (T(x,y) \ z) = T((x \ 1) \ 1,y) \ z. [para(2228(a,1),3197(a,2,1))]. 3430 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(2230(a,1),3219(a,2,1))]. 3431 x \ ((x * (T(y,x) \ y)) \ x) = (x * (T(y,x) \ y)) \ 1. [para(3301(a,1),3304(a,2,1))]. 3433 K(((x \ y) \ y) \ 1,(x \ y) \ y) = K(x \ 1,x). [hyper(22,a,2511,a,b,3363,a),flip(a)]. 3434 K(x \ 1,x) * (y * T((x \ z) \ z,u)) = y * (1 / (1 / T((x \ z) \ z,u))). [para(3433(a,1),3189(a,1,1))]. 3435 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(255,a,2917,a(flip),b,3393,a(flip)),flip(a)]. 3436 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(255,a,3408,a,b,3435,a)]. 3437 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(122(a,1),3435(a,2,1,1,2))]. 3438 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(3435(a,2),3371(a,1,2))]. 3439 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(255,a,160,a,b,3436,a),flip(a)]. 3440 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [para(3436(a,2),73(a,1,1))]. 3443 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(255,a,3280,a(flip),b,3438,a)]. 3444 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(163(a,2),3438(a,2,2)),flip(a)]. 3446 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(73(a,1),3440(a,1,1,1))]. 3447 (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). [hyper(255,a,1595,a,b,3444,a(flip)),flip(a)]. 3448 R(x,1 / x,y) \ y = (x \ 1) * y. [para(73(a,1),3446(a,2,1,1))]. 3449 R(x,1 / x,y) = y / ((x \ 1) * y). [para(3448(a,1),70(a,1,2)),flip(a)]. 3450 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(255,a,160,a,b,3449,a)]. 3451 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(3450(a,1),1496(a,1,1))]. 3452 x * ((x * (((x * y) * (x \ 1)) / (x * y))) * y) = T(x * y,R(x \ 1,x,x * y)). [hyper(255,a,2355,a(flip),b,3447,a(flip)),flip(a)]. 3453 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [para(3439(a,2),3447(a,2,2)),flip(a)]. 3454 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3399(a,1),2050(a,1,1)),flip(a)]. 3455 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(128(a,1),3427(a,1,2,2))]. 3456 (T(x,y) \ z) * K(x \ 1,x) = T((x \ 1) \ 1,y) \ z. [hyper(2267,a,3429,a)]. 3457 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(80,a,19,a(flip),b,3430,a),flip(a)]. 3458 (x * (T(y,x) \ y)) \ 1 = x \ (y \ T(y,x)). [para(3420(a,1),3431(a,1,2)),flip(a)]. 3459 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2931,a,3457,a)]. 3460 T(x,y) \ z != K(x \ 1,x) * u | T(1 / (1 / x),y) \ z = u. [para(3457(a,1),24(a,1))]. 3461 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3457(a,1),3109(a,1,2))]. 3462 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1451(a,1),3459(a,1,2))]. 3463 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(3228(a,2),19(a,1,2))]. 3464 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3250(a,1),1101(a,1,2)),flip(a)]. 3465 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(19(a,1),3464(a,1,1)),flip(a)]. 3466 L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u. [para(3464(a,2),24(a,1))]. 3467 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(255,a,2324,a,b,3252,a(flip)),flip(a)]. 3468 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. [para(3303(a,1),3419(a,1,2))]. 3469 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. [para(3240(a,1),3468(a,2,1))]. 3470 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(255,a,1496,a(flip),b,3451,a(flip))]. 3471 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(255,a,350,a(flip),b,3470,a(flip))]. 3472 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). [para(3463(a,1),1382(a,1,1)),flip(a)]. 3473 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(3471(a,2),107(a,1,2,2))]. 3474 T((x \ 1) * y,K(z \ 1,z)) = y * ((x \ 1) * (x * T(x \ 1,y))). [hyper(255,a,3015,a,b,3202,a)]. 3475 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2507(a,1),3221(a,1,2))]. 3476 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3234(a,1),3247(a,2,2,1,2))]. 3477 K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). [para(2979(a,1),3286(a,1,2))]. 3478 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(255,a,3301,a(flip),b,3305,a)]. 3479 K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). [para(3370(a,1),3311(a,2,1,1))]. 3480 T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). [hyper(23,a,3028,a,b,3424,a)]. 3481 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(255,a,381,a(flip),b,3480,a(flip)),flip(a)]. 3483 (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). [hyper(255,a,3051,a(flip),b,3477,a(flip)),flip(a)]. 3484 (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). [para(3483(a,1),1928(a,1,1))]. 3485 (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(107(a,2),3484(a,1,1,2))]. 3486 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3420(a,1),3478(a,1,1,2))]. 3487 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(22,a,3476,a(flip),b,3486,a(flip)),flip(a)]. 3488 (x * (y \ T(y,x))) * (T(y,x) \ y) = x. [para(3487(a,1),19(a,1,2))]. 3489 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). [para(3163(a,2),957(a,1,1,2))]. 3490 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(396(a,1),3243(a,2,1))]. 3491 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2948(a,1),3389(a,1,1))]. 3493 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(1912(a,1),3453(a,2,1))]. 3494 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(3127(a,1),3454(a,1,1)),flip(a)]. 3498 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. [para(3493(a,2),3322(a,1))]. 3499 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(3116(a,1),3124(a,1,2))]. 3502 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(3499(a,1),3192(a,1,2))]. 3503 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(73(a,1),3191(a,2,2))]. 3506 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(3503(a,1),3109(a,1,2))]. 3507 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3391(a,1),3283(a,1,3))]. 3508 T(x,K(y,x) \ 1) = x. [para(3391(a,1),3300(a,1,2))]. 3509 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3508(a,1),127(a,1,2))]. 3510 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3509(a,1),162(a,2,1)),flip(a)]. 3511 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(255,a,3507,a(flip),b,3510,a)]. 3513 (K(x,y) * R(T(y,z),u,w)) * v5 != R(T(y,z),u,w) * K(x,y) | 1 = v5. [para(3425(a,1),84(a,1))]. 3514 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(70(a,1),3462(a,2,1,1,2))]. 3515 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2939,a,3514,a)]. 3516 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(18(a,1),3515(a,1,2)),flip(a)]. 3517 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [para(3516(a,1),19(a,1,2))]. 3518 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2014(a,2),3517(a,1,2))]. 3519 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(3090(a,1),3517(a,1,2)),flip(a)]. 3520 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3519(a,1),1078(a,1,2))]. 3521 x \ T((y \ 1) * (x / (y \ 1)),K(z \ 1,z)) = K(1 / y,x / (y \ 1)). [para(3474(a,2),2851(a,1,2))]. 3522 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1451(a,1),3475(a,1,2))]. 3523 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2610(a,1),3100(a,1,2))]. 3524 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3523(a,1),1647(a,2,2,1,2)),flip(a)]. 3527 T(x,x \ K(y,x)) = T(x,x \ 1). [para(3318(a,1),3418(a,1,2,2))]. 3528 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(3527(a,1),199(a,1,2))]. 3529 K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. [para(3528(a,1),2868(a,1,1)),flip(a)]. 3530 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(3528(a,1),2909(a,1,1))]. 3531 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(3530(a,1),2597(a,1,2)),flip(a)]. 3532 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(3531(a,1),3410(a,1,2))]. 3533 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(80,a,3532,a(flip),b,1079,a),flip(a)]. 3534 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(1081(a,1),3533(a,1,2))]. 3535 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(73(a,1),3502(a,1,2,1,1,1))]. 3536 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(22,a,3047,a,b,3535,a),flip(a)]. 3537 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(81,a,3520,a(flip),b,3535,a(flip))]. 3538 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3536(a,1),3109(a,1,2))]. 3539 x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). [para(3345(a,1),3521(a,1,2))]. 3540 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(3437(a,1),470(a,1,1))]. 3541 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(255,a,385,a,b,3356,a),flip(a)]. 3542 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * (1 / (T(x,z) \ 1)). [para(2225(a,1),3434(a,2,2,2))]. 3543 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [para(70(a,1),3542(a,2,2))]. 3545 (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(3539(a,1),3485(a,1,1,2))]. 3546 K(x \ 1,y / (1 / x)) = K(x \ 1,y / (x \ 1)). [hyper(255,a,3484,a(flip),b,3545,a(flip))]. 3547 K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). [para(20(a,1),3546(a,1,2)),flip(a)]. 3548 K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). [para(1369(a,1),3547(a,1,2))]. 3549 K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). [para(2942(a,1),3548(a,1,2))]. 3550 K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). [para(3069(a,1),3549(a,1,2))]. 3551 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(3200(a,1),3518(a,1,2))]. 3552 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(128(a,2),3551(a,1,2,1))]. 3553 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2841(a,1),3522(a,2,1))]. 3554 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3553(a,1),2893(a,1,1))]. 3555 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(255,a,3494,a(flip),b,3349,a)]. 3556 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(3132(a,1),3555(a,1,1))]. 3557 T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). [para(1970(a,1),3452(a,1,2)),flip(a)]. 3558 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(924(a,1),3554(a,2,1,2))]. 3559 K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). [para(2876(a,1),3110(a,1,2)),flip(a)]. 3560 K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x). [hyper(255,a,31,a,b,3559,a)]. 3561 K(K(x,x \ 1) * y,x) = K(y,(x \ 1) \ 1). [para(2918(a,1),3560(a,1,1)),flip(a)]. 3562 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x). [para(3078(a,1),3560(a,1,1))]. 3563 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(787(a,1),3180(a,1,2)),flip(a)]. 3564 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(255,a,1993,a(flip),b,3563,a(flip))]. 3565 L(x,y \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(3213(a,1),3199(a,1,1))]. 3566 L(x,y \ 1,y) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(3055(a,1),3565(a,1,1))]. 3567 ((x \ 1) \ 1) \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. [hyper(3198,a,3566,a)]. 3569 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3465(a,1),3467(a,1,1))]. 3570 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(255,a,186,a(flip),b,3569,a(flip)),flip(a)]. 3571 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(18(a,1),3570(a,1,1)),flip(a)]. 3572 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(80,a,3306,a(flip),b,3571,a)]. 3573 (x \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x). [para(1100(a,1),3571(a,1,2))]. 3574 L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). [para(3125(a,1),3571(a,1,2)),flip(a)]. 3575 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1923(a,1),3572(a,1,1,2)),flip(a)]. 3576 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3237(a,1),3572(a,1,1)),flip(a)]. 3577 T(x,T(y,x)) * (y \ T(y,x)) = L(x,y \ T(y,x),y). [hyper(3155,a,3573,a)]. 3578 L(1 / x,x \ T(x,y),x) = 1 / x. [hyper(255,a,3246,a(flip),b,3574,a)]. 3580 x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). [para(3578(a,1),565(a,2,1))]. 3581 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3412(a,1),3576(a,1,2)),flip(a)]. 3582 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(167(a,1),3581(a,1,1,2)),flip(a)]. 3583 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(167(a,1),3582(a,1,2,1)),flip(a)]. 3584 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(3583(a,1),19(a,1,2))]. 3585 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(18(a,1),3575(a,2,1))]. 3587 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2722(a,1),3585(a,1,2))]. 3588 x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). [para(19(a,1),3580(a,1,2,2,2))]. 3590 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). [para(3260(a,1),3588(a,1,2,2)),flip(a)]. 3591 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). [para(1240(a,1),3590(a,2,2))]. 3593 (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). [hyper(255,a,190,a(flip),b,3591,a)]. 3594 L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). [hyper(310,a,3593,a),flip(a)]. 3596 L(x \ T(x,y),x \ 1,x) = x \ T(x,y). [hyper(255,a,3238,a(flip),b,3594,a)]. 3597 L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). [para(1923(a,1),3596(a,1,1,2))]. 3598 x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). [para(18(a,1),3597(a,1,1)),flip(a)]. 3600 L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). [para(1923(a,1),3598(a,1,2)),flip(a)]. 3601 L(K(x,y),x \ 1,x) = K(x,y). [hyper(255,a,18,a(flip),b,3600,a)]. 3604 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(80,a,3601,a(flip),b,190,a),flip(a)]. 3605 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(1286,a,3604,a)]. 3606 K(x,y) \ (x \ K(x,y)) = x \ 1. [hyper(80,a,3604,a(flip),b,1285,a)]. 3608 K(x,y) \ (x \ K(x,y)) != z | x \ 1 = z. [para(3605(a,1),222(a,1,2)),flip(b)]. 3609 K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z. [para(3605(a,1),416(a,1,2))]. 3610 K(x,y) * ((x \ 1) * z) != (x \ K(x,y)) * u | L(z,x \ 1,K(x,y)) = u. [para(3605(a,1),422(a,1,1)),flip(a)]. 3611 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(255,a,1930,a(flip),b,3472,a)]. 3612 T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(255,a,3280,a,b,3611,a(flip)),flip(a)]. 3613 R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(255,a,47,a,b,3612,a(flip)),flip(a)]. 3614 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(2382(a,1),3613(a,1,1)),flip(a)]. 3615 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(80,a,1069,a,b,3614,a)]. 3617 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(255,a,1277,a(flip),b,3615,a(flip)),flip(a)]. 3618 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(3615(a,1),2724(a,1,1)),flip(a)]. 3619 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(255,a,3463,a,b,3617,a),flip(a)]. 3620 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(2005(a,2),3619(a,1,2))]. 3621 K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. [para(3618(a,1),2685(a,1))]. 3622 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1159(a,1),3277(a,2,1))]. 3623 L(x,y,z) * (T(x,u) * T(T(x,u) \ 1,L(x,y,z))) = L(L(x,y,z),T(x,u) \ 1,T(x,u)). [hyper(255,a,190,a(flip),b,3357,a)]. 3624 L(L(x,y,z),T(x,u) \ 1,T(x,u)) = L(x,y,z) * T(x * T(x \ 1,L(x,y,z)),u). [para(1649(a,1),3623(a,1,2)),flip(a)]. 3625 L(x,y,z) * T(x * T(x \ 1,L(x,y,z)),u) = L(1 / (1 / x),y,z). [hyper(255,a,2301,a(flip),b,3624,a(flip))]. 3627 L(x,y,z) * K(x \ 1,L(x,y,z)) = L(1 / (1 / x),y,z). [para(1224(a,1),3625(a,1,2))]. 3629 x * T(x \ 1,L(x,y,z)) = K(x \ 1,L(x,y,z)). [hyper(22,a,2997,a,b,3627,a),flip(a)]. 3630 L(K(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u. [para(3629(a,1),2659(a,1,1))]. 3631 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3538(a,1),3361(a,1,2))]. 3632 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3631(a,1),431(a,1))]. 3633 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2311,a,3540,a)]. 3634 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(3075(a,1),3076(a,2,2,1,1))]. 3635 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(255,a,3239,a(flip),b,3634,a)]. 3637 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3239(a,1),3635(a,1,1))]. 3638 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3637(a,1),3296(a,1,1))]. 3639 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3293(a,1),3638(a,2,1))]. 3641 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3639(a,1),19(a,1,2))]. 3643 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(255,a,2281,a(flip),b,3641,a(flip)),flip(a)]. 3644 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(3051(a,1),3101(a,1,2)),flip(a)]. 3645 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3644(a,2),431(a,1))]. 3646 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(20(a,1),3297(a,1,1,1))]. 3648 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3646(a,1),25(a,1)),flip(a)]. 3649 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1727(a,1),2170(a,2,1))]. 3650 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(255,a,1158,a(flip),b,3649,a)]. 3652 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1158(a,1),3650(a,1,1))]. 3653 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(40,a,3652,a)]. 3654 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * K(x,(x / (y \ 1)) / x)) / ((x * y) / x). [para(2535(a,1),2642(a,2,1,2))]. 3655 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = ((x * y) / x) / ((x * y) / x). [para(1918(a,1),3654(a,2,1))]. 3656 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = 1. [hyper(255,a,67,a(flip),b,3655,a)]. 3657 K(((x * y) / x) \ y,y \ ((x * y) / x)) = 1. [hyper(2641,a,3656,a)]. 3659 1 / (((x * y) / x) \ y) = (((x * y) / x) \ y) \ 1. [hyper(80,a,3657,a(flip),b,2516,a),flip(a)]. 3660 ((((x * y) / x) \ y) \ 1) \ 1 = ((x * y) / x) \ y. [para(3659(a,1),73(a,1,1))]. 3661 (x \ ((y * x) / y)) \ 1 = ((y * x) / y) \ x. [para(2719(a,1),3660(a,1,1))]. 3662 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (y \ (y * (x * T(x \ 1,y)))) \ 1. [para(2144(a,1),3661(a,1,1,2)),flip(a)]. 3663 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (x * T(x \ 1,y)) \ 1. [para(18(a,1),3662(a,2,1))]. 3664 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = x \ (T(1 / x,y) \ 1). [hyper(255,a,2717,a(flip),b,3663,a)]. 3666 (x * (y * T(y \ 1,x))) \ x = y \ (T(1 / y,x) \ 1). [para(2144(a,1),3664(a,1,1))]. 3667 K(x \ (y \ (T(1 / y,x) \ 1)),x) = K(x \ 1,x). [para(3664(a,1),3005(a,1,1,2))]. 3668 K(x \ ((y \ 1) \ (T(y,x) \ 1)),x) = K(x \ 1,x). [para(70(a,1),3667(a,1,1,2,2,1,1))]. 3669 K(x \ (T(y,x) \ y),x) = K(x \ 1,x). [para(2705(a,1),3668(a,1,1,2))]. 3670 (x * (y * T(y \ 1,x))) \ 1 = x \ (y \ (T(1 / y,x) \ 1)). [para(3666(a,1),2565(a,1,2)),flip(a)]. 3671 x \ (((x * y) \ x) \ (T(1 / ((x * y) \ x),x) \ 1)) = (x * K(y,x)) \ 1. [para(953(a,2),3670(a,1,1,2)),flip(a)]. 3672 x \ (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = (x * K(y,x)) \ 1. [para(2718(a,1),3671(a,1,2))]. 3673 x \ (((x * y) \ (x * T(y,x))) \ 1) = (x * K(y,x)) \ 1. [para(18(a,1),3672(a,1,2,1,2,2,1))]. 3674 x \ (((x * y) \ (y * x)) \ 1) = (x * K(y,x)) \ 1. [para(127(a,1),3673(a,1,2,1,2))]. 3675 (x * K(y,x)) \ 1 = x \ (K(y,x) \ 1). [para(31(a,2),3674(a,1,2,1)),flip(a)]. 3676 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3318(a,1),3422(a,1,2)),flip(a)]. 3677 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(255,a,3353,a(flip),b,3676,a)]. 3678 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(3392(a,1),3676(a,1,2))]. 3679 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(18(a,1),3678(a,1,2,1,2,2,1))]. 3680 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(127(a,1),3679(a,1,2,1,2))]. 3681 x * (K(y,x) \ 1) = x / K(y,x). [para(31(a,2),3680(a,1,2,1))]. 3682 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(255,a,3353,a(flip),b,3681,a)]. 3683 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(80,a,3353,a(flip),b,3681,a)]. 3684 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(80,a,3682,a(flip),b,3509,a)]. 3685 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3682(a,1),24(a,1))]. 3686 x * (T(L(y \ 1,y,x) \ 1,x) \ (L(y \ 1,y,x) \ 1)) = K(y,x) \ x. [para(3391(a,2),3682(a,1,2))]. 3687 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3682(a,1),3511(a,1,1))]. 3689 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3684(a,1),925(a,1,2,1))]. 3690 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3687(a,1),19(a,1,2))]. 3691 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3690(a,1),2879(a,1,1)),flip(a)]. 3692 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(255,a,274,a(flip),b,3689,a(flip))]. 3694 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(255,a,381,a(flip),b,3692,a(flip))]. 3695 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(255,a,3694,a(flip),b,3691,a)]. 3696 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3695(a,1),2731(a,1,2,2))]. 3697 x \ ((((x * y) \ x) \ 1) \ T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3677(a,1),3458(a,1,1)),flip(a)]. 3698 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(3677(a,1),3469(a,1,2)),flip(a)]. 3699 1 / (K(x,y) \ y) = K(x,y) / y. [para(953(a,2),3698(a,1,1)),flip(a)]. 3700 (K(x,y) / y) \ 1 = K(x,y) \ y. [para(3699(a,1),73(a,1,1))]. 3701 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(533,a,3696,a),flip(a)]. 3702 K(x,(y \ 1) \ 1) = K(x,y). [hyper(255,a,598,a(flip),b,3701,a),flip(a)]. 3705 K(K(x,x \ 1) * y,x) = K(y,x). [hyper(255,a,3561,a,b,3702,a(flip)),flip(a)]. 3706 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [hyper(255,a,3562,a(flip),b,3702,a(flip))]. 3707 K(x,1 / y) = K(x,y \ 1). [para(73(a,1),3702(a,1,2,1)),flip(a)]. 3708 K(x,1 / (1 / y)) = K(x,y). [para(150(a,1),3702(a,1,2)),flip(a)]. 3710 K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). [para(2229(a,1),3702(a,1,2)),flip(a)]. 3712 ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). [para(3702(a,1),3174(a,2,2))]. 3713 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(3400(a,1),3702(a,1,2)),flip(a)]. 3718 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(3707(a,1),2573(a,2,1))]. 3722 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2592(a,2),3705(a,1,1))]. 3723 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(3201(a,1),3706(a,1,1))]. 3724 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(3096(a,1),3722(a,1,1,1))]. 3725 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(255,a,3473,a,b,3713,a(flip)),flip(a)]. 3726 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(255,a,963,a,b,3723,a(flip)),flip(a)]. 3727 x \ (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3240(a,1),3697(a,1,2))]. 3728 (K(x,y) \ y) \ 1 = y \ K(x,y). [para(953(a,2),3727(a,1,2)),flip(a)]. 3729 1 / (x \ K(y,x)) = K(y,x) \ x. [para(3728(a,1),70(a,1,2))]. 3730 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3415(a,1),3423(a,1,1))]. 3731 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3239(a,1),3524(a,2,1))]. 3732 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(112(a,1),1394(a,1,2,1,1))]. 3733 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1391,a,3732,a),flip(a)]. 3734 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(821(a,1),3733(a,2,2))]. 3735 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(422,a,3734,a),flip(a)]. 3736 L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [hyper(255,a,1155,a(flip),b,3735,a(flip))]. 3737 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1732(a,1),3736(a,1,1,2)),flip(a)]. 3738 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(255,a,2655,a(flip),b,3737,a)]. 3739 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(23,a,189,a(flip),b,3738,a)]. 3740 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(73(a,1),3739(a,1,1))]. 3741 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(1020(a,1),3740(a,1,2))]. 3742 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(3741(a,1),21(a,1,1))]. 3743 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2765,a,3742,a)]. 3744 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1868(a,1),3743(a,1,1)),flip(a)]. 3745 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(255,a,2413,a(flip),b,2416,a)]. 3746 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1242(a,1),3388(a,1,1))]. 3747 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1242(a,1),3746(a,1,2,3))]. 3748 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2983(a,1),3747(a,1,2)),flip(a)]. 3749 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(2302(a,1),3748(a,1,1)),flip(a)]. 3750 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(3386(a,1),3748(a,1,1))]. 3751 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(1242(a,1),3750(a,1,2))]. 3752 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(255,a,3378,a(flip),b,3751,a(flip))]. 3753 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(255,a,3491,a(flip),b,3752,a)]. 3754 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(255,a,2812,a(flip),b,3753,a)]. 3755 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(255,a,3754,a(flip),b,3749,a(flip)),flip(a)]. 3756 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(1242(a,1),3755(a,2,2))]. 3757 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(255,a,3378,a(flip),b,3756,a)]. 3758 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(255,a,3350,a(flip),b,3757,a)]. 3759 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(2705(a,1),3758(a,1,1))]. 3760 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(255,a,3556,a(flip),b,3759,a(flip)),flip(a)]. 3761 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(3760(a,1),841(a,1,1))]. 3762 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(255,a,443,a(flip),b,3761,a(flip))]. 3763 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(255,a,31,a,b,3762,a),flip(a)]. 3764 L(K(x,y),y \ 1,y) = K(x,y). [para(31(a,2),3763(a,2,1)),flip(a)]. 3765 (x \ 1) * K(y,x) = x \ K(y,x). [hyper(80,a,3764,a(flip),b,190,a),flip(a)]. 3766 ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(3765(a,1),35(a,2,2)),flip(a)]. 3767 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(73(a,1),3541(a,1,1,3))]. 3768 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2812(a,1),3767(a,1,1))]. 3769 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1242(a,1),2672(a,1,1,2,1))]. 3770 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1710(a,1),3769(a,1,1,2)),flip(a)]. 3772 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3385(a,1),3770(a,2,1))]. 3773 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(169(a,1),3772(a,2,1))]. 3774 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(255,a,328,a(flip),b,3773,a)]. 3777 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3774(a,1),263(a,1,2)),flip(a)]. 3778 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. [hyper(255,a,17,a(flip),b,3777,a)]. 3779 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(3778(a,1),304(a,1,1)),flip(b)]. 3780 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(112(a,1),1855(a,1,2,1,2,1))]. 3781 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(255,a,1331,a(flip),b,3780,a(flip))]. 3782 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1053(a,1),3781(a,2,2))]. 3783 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(422,a,3782,a),flip(a)]. 3784 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(19(a,1),3783(a,1,2,1)),flip(a)]. 3785 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(255,a,1448,a,b,3784,a)]. 3786 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1914(a,1),3785(a,1,1))]. 3787 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(122(a,1),1857(a,1,1,1,2,2)),flip(a)]. 3788 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(255,a,789,a(flip),b,3787,a)]. 3789 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(255,a,2409,a(flip),b,3788,a)]. 3790 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(789(a,1),3789(a,1,1))]. 3791 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1903(a,1),3790(a,2,1))]. 3792 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(23,a,122,a,b,3791,a)]. 3793 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1910,a,3792,a),flip(a)]. 3794 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(19(a,1),3792(a,1,2,1)),flip(a)]. 3795 R(K(x,(x / y) / x),z,u) = K(x,(x / R(y,z,u)) / x). [para(1909(a,2),3793(a,1,1))]. 3796 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(255,a,1448,a,b,3794,a)]. 3797 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1159(a,1),3796(a,1,1,2,1))]. 3798 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3463(a,1),3797(a,1,1))]. 3799 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(35(a,2),1879(a,2,2,1,1))]. 3800 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1902(a,1),3799(a,1,1))]. 3801 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1639(a,1),3800(a,1,1,1))]. 3802 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(466,a,3801,a),flip(a)]. 3804 R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [hyper(255,a,1164,a(flip),b,3802,a(flip))]. 3805 R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). [para(592(a,1),3802(a,2,1,2))]. 3806 R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). [hyper(1188,a,3805,a),flip(a)]. 3807 a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z). [para(16(a,1),3806(a,1,1,2,1)),flip(a)]. 3808 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1713(a,1),3804(a,1,1,2)),flip(a)]. 3809 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(23,a,2673,a(flip),b,3808,a)]. 3810 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(3779,a,3809,a)]. 3811 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(80,a,3810,a(flip),b,2561,a)]. 3812 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(73(a,1),3810(a,1,2))]. 3813 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1180(a,1),3812(a,1,1))]. 3814 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1172(a,1),3813(a,1,1)),flip(a)]. 3815 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(33(a,2),1906(a,2,2,1,1))]. 3816 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(1007(a,1),3815(a,1,2))]. 3817 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(824(a,1),3816(a,1,2,2))]. 3818 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(431,a,3817,a),flip(a)]. 3820 L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). [para(675(a,1),3818(a,2,1,2))]. 3821 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(1044(a,1),3818(a,1,2))]. 3822 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1431(a,1),3820(a,1,2))]. 3823 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(153(a,1),3822(a,2,1,2))]. 3824 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1448(a,2),3823(a,2,1))]. 3825 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(17(a,1),3821(a,1,2,2)),flip(a)]. 3826 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2650(a,1),3825(a,1,1)),flip(a)]. 3827 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(255,a,3786,a(flip),b,3826,a)]. 3828 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(22,a,1448,a(flip),b,3827,a)]. 3829 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(255,a,3744,a,b,3828,a(flip)),flip(a)]. 3830 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(3829(a,1),70(a,1,2)),flip(a)]. 3831 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(70(a,1),3829(a,1,1,1,2)),flip(a)]. 3833 L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). [para(241(a,1),3830(a,2,2,2))]. 3835 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(3831(a,1),73(a,1,1))]. 3837 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(70(a,1),3835(a,1,1,1,1)),flip(a)]. 3840 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(3833(a,1),112(a,1,2))]. 3842 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [para(18(a,1),3840(a,2,2,2,2,2,2))]. 3843 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(35(a,2),1976(a,2,2,1,1))]. 3844 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1900(a,1),3843(a,1,1))]. 3845 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1643(a,1),3844(a,1,1,1))]. 3846 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(466,a,3845,a),flip(a)]. 3847 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(675(a,1),3846(a,2,1,2))]. 3848 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1177(a,1),3846(a,1,2))]. 3849 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1313(a,1),3847(a,1,2))]. 3850 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(153(a,1),3849(a,2,1,2))]. 3851 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1448(a,2),3850(a,2,1))]. 3852 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(17(a,1),3848(a,1,2,2)),flip(a)]. 3853 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3620(a,1),3852(a,1,1)),flip(a)]. 3854 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3617(a,1),3853(a,2,1))]. 3855 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(255,a,3798,a(flip),b,3854,a)]. 3856 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(22,a,1448,a(flip),b,3855,a)]. 3857 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(255,a,3814,a,b,3856,a(flip)),flip(a)]. 3858 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(3857(a,1),70(a,1,2)),flip(a)]. 3859 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. [para(145(a,1),3857(a,1,1,1)),flip(a)]. 3860 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2230(a,1),3857(a,1,1,1))]. 3861 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(70(a,1),3858(a,1,1,2)),flip(a)]. 3862 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(3859(a,1),73(a,1,1)),flip(a)]. 3863 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(3861(a,1),3368(a,1,2))]. 3864 R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. [para(472(a,1),3862(a,2,1,1))]. 3865 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3862(a,2),2239(a,1,1))]. 3866 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2813(a,1),3862(a,2,1,1))]. 3867 T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). [para(3862(a,2),3371(a,1,2))]. 3868 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(658(a,1),3860(a,1,1)),flip(a)]. 3869 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(255,a,2838,a,b,3866,a(flip)),flip(a)]. 3870 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(230,a,3865,a),flip(a)]. 3871 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2238(a,1),3870(a,2,1))]. 3872 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(255,a,3633,a(flip),b,3871,a(flip)),flip(a)]. 3873 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(255,a,3366,a(flip),b,3871,a(flip)),flip(a)]. 3874 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(3862(a,2),3873(a,1,1))]. 3875 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. [para(3190(a,1),3874(a,2,1))]. 3876 (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(3864(a,1),3875(a,1,1))]. 3877 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3190(a,1),3872(a,2,1))]. 3878 (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(21(a,1),3876(a,1,2,1))]. 3879 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). [hyper(1245,a,3878,a),flip(a)]. 3881 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(143(a,1),2539(a,1,2,2,2,2))]. 3882 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). [hyper(255,a,3842,a(flip),b,3881,a(flip))]. 3884 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). [para(3840(a,1),3882(a,2,2))]. 3885 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). [para(60(a,1),3884(a,2,2,2,2,2,2,2))]. 3887 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). [para(70(a,1),3885(a,2,2,2,2,2))]. 3888 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). [para(1448(a,2),3887(a,2,2,2))]. 3889 (x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z. [para(3888(a,1),24(a,1)),flip(a)]. 3890 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(3255(a,2),3273(a,2,2,2))]. 3891 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(2748(a,1),1217(a,1,1,2))]. 3892 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(21(a,1),3891(a,1,1,2))]. 3894 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1161(a,1),3892(a,1,1)),flip(a)]. 3896 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3894(a,1),3622(a,1,1))]. 3897 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(80,a,3896,a(flip),b,3587,a)]. 3898 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(2771,a,3897,a),flip(a)]. 3900 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3898(a,1),2532(a,1,1))]. 3901 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(3621,a,3900,a)]. 3902 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(255,a,3564,a,b,3901,a(flip)),flip(a)]. 3903 R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(3901(a,1),2671(a,1,1))]. 3904 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(3902(a,1),19(a,1,2))]. 3905 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(255,a,3858,a(flip),b,3904,a)]. 3906 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(22,a,1483,a,b,3905,a),flip(a)]. 3907 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(364,a,3906,a)]. 3908 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3906(a,1),1458(a,1,1)),flip(a)]. 3909 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3907(a,1),315(a,1))]. 3910 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3907(a,1),3877(a,1,1))]. 3911 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(255,a,3898,a(flip),b,3908,a)]. 3912 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3910(a,1),25(a,1))]. 3913 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(3312(a,1),3910(a,1,1))]. 3914 K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). [para(3312(a,1),3903(a,1,1)),flip(a)]. 3915 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(1524(a,1),3913(a,2,1,2))]. 3917 R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). [hyper(255,a,3906,a(flip),b,3914,a(flip))]. 3918 R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). [hyper(255,a,3312,a(flip),b,3917,a)]. 3919 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(3918(a,1),122(a,1,1)),flip(a)]. 3920 L(x,y,K(z,R(z \ 1,y,x))) = x. [hyper(422,a,3919,a)]. 3921 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(23,a,3915,a(flip),b,3919,a)]. 3922 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(23,a,2247,a,b,3921,a)]. 3925 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3922(a,1),3915(a,1,1)),flip(a)]. 3926 L(x,y,K(z,z \ 1)) = x. [para(3922(a,1),3920(a,1,3))]. 3932 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [hyper(255,a,2734,a,b,3926,a(flip)),flip(a)]. 3933 (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). [hyper(255,a,2941,a(flip),b,3926,a(flip)),flip(a)]. 3934 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(255,a,114,a(flip),b,3926,a(flip)),flip(a)]. 3936 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3926(a,1),112(a,1,2))]. 3937 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3926(a,1),375(a,1,2)),flip(a)]. 3938 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3926(a,1),483(a,1,2))]. 3940 L(x,y,K(z \ 1,z)) = x. [para(1451(a,1),3926(a,1,3))]. 3941 ((x \ 1) \ 1) / (y \ x) = K(x,x \ 1) * y. [para(3926(a,1),1474(a,1,2))]. 3942 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3926(a,1),1472(a,1,2)),flip(a)]. 3943 L(x,y,K(z \ u,u \ z)) = x. [para(2502(a,1),3926(a,1,3))]. 3947 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3645,a,3940,a),flip(a)]. 3949 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y). [hyper(255,a,2735,a,b,3940,a(flip)),flip(a)]. 3950 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(255,a,2932,a(flip),b,3940,a(flip))]. 3951 a(x,1 / y,y) = a(x,y \ 1,y). [hyper(255,a,2818,a(flip),b,3940,a(flip))]. 3952 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(255,a,2406,a(flip),b,3940,a(flip))]. 3953 (x * K(y \ 1,y)) \ K(y \ 1,y) = x \ 1. [hyper(255,a,2282,a(flip),b,3940,a(flip)),flip(a)]. 3954 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(255,a,114,a(flip),b,3940,a(flip)),flip(a)]. 3955 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3940(a,1),112(a,1,2))]. 3956 K(x \ 1,x) * (1 / y) = K(x \ 1,x) / y. [para(3940(a,1),375(a,1,2)),flip(a)]. 3957 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3940(a,1),483(a,1,2))]. 3958 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3940(a,1),2283(a,1,2))]. 3960 (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). [para(3943(a,1),112(a,1,2))]. 3962 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(255,a,3061,a,b,3947,a(flip)),flip(a)]. 3963 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(70(a,1),3947(a,1,3)),flip(a)]. 3965 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [hyper(255,a,2892,a,b,3951,a(flip)),flip(a)]. 3966 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(3632,a,3963,a)]. 3968 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3937(a,1),2253(a,1))]. 3969 K(x,x \ 1) * (x / y) = ((x \ 1) \ 1) / y. [para(73(a,1),3941(a,1,2)),flip(a)]. 3971 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2253,a,3942,a)]. 3973 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(2914(a,1),3953(a,1,1)),flip(a)]. 3974 (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. [hyper(2267,a,3956,a)]. 3975 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(255,a,114,a(flip),b,3966,a(flip))]. 3976 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2253,a,3969,a)]. 3977 (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). [hyper(302,a,3971,a),flip(a)]. 3978 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(613(a,1),3971(a,1,1)),flip(a)]. 3980 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(3977(a,1),73(a,1,1))]. 3983 (x * K(y,y \ 1)) \ K(y,y \ 1) = x \ 1. [hyper(80,a,64,a(flip),b,3925,a)]. 3984 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(81,a,3925,a(flip),b,122,a)]. 3985 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [para(2911(a,1),3925(a,1,1)),flip(a)]. 3986 K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. [para(3097(a,1),3925(a,1,1)),flip(a)]. 3988 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [para(2911(a,1),3983(a,1,1)),flip(a)]. 3989 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(2912(a,1),3983(a,1,1)),flip(a)]. 3991 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [para(2924(a,1),3933(a,1,1)),flip(a)]. 3992 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2924(a,1),3934(a,1,1)),flip(a)]. 3993 (x \ y) \ (K(x,x \ 1) * z) = (((x \ 1) \ 1) \ y) \ z. [para(3036(a,1),3934(a,1,1))]. 3994 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(454,a,3936,a)]. 3996 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(255,a,3851,a,b,3994,a(flip)),flip(a)]. 3998 K(x,x \ 1) * ((1 / (1 / x)) / y) = x / y. [para(1504(a,1),3938(a,1,1)),flip(a)]. 3999 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3938(a,1),2943(a,1,1))]. 4000 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [hyper(2921,a,3998,a)]. 4001 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(199(a,1),4000(a,1,2)),flip(a)]. 4004 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(3097(a,1),3950(a,1,1)),flip(a)]. 4005 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3950(a,1),3210(a,1))]. 4006 (K(x \ 1,x) * y) \ z = y \ (z * K(x,x \ 1)). [para(2913(a,1),3954(a,1,2))]. 4008 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3955(a,1),35(a,2,1,1)),flip(a)]. 4009 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3957(a,1),129(a,1,1))]. 4010 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3912,a,3958,a)]. 4013 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3958(a,1),33(a,2,1)),flip(a)]. 4014 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3958(a,1),431(a,1,2,2))]. 4015 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3958(a,1),3099(a,1,1))]. 4016 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3909,a,4010,a)]. 4017 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(4010(a,1),1163(a,1,2))]. 4020 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(255,a,128,a,b,3991,a),flip(a)]. 4021 x * ((x * K(y \ 1,y)) \ z) = K(y,y \ 1) * z. [para(3992(a,2),19(a,1,2))]. 4024 x * ((x * K(y \ 1,R(y,z,u))) \ w) = K(y,y \ 1) * w. [para(4010(a,2),4021(a,1,2,1,2))]. 4028 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) = T(x,y / (z \ 1)). [para(2827(a,1),3949(a,1,1,2))]. 4029 a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x. [hyper(81,a,2944,a(flip),b,3986,a(flip))]. 4032 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(4004(a,1),3731(a,1,2,1)),flip(a)]. 4033 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(3207(a,1),4009(a,1,1))]. 4034 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(23,a,3098,a,b,4017,a),flip(a)]. 4036 R(x,y,z) / x = x \ R(x,y,z). [hyper(255,a,1173,a(flip),b,4034,a(flip)),flip(a)]. 4037 (x \ R(x,y,z)) * x = R(x,y,z). [para(4036(a,1),21(a,1,1))]. 4038 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(4036(a,1),480(a,1,1))]. 4039 T(x,x \ R(x,y,z)) = x. [hyper(286,a,4037,a)]. 4040 x * ((x * K(y \ 1,R(y,z,u))) \ w) != v5 * w | K(y,y \ 1) = v5. [para(4024(a,2),25(a,1))]. 4041 (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). [para(2519(a,1),3960(a,1,1))]. 4042 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(4038(a,2),2232(a,1,1,1,1))]. 4043 (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. [para(4041(a,2),159(a,1)),flip(b)]. 4044 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(255,a,2318,a(flip),b,3984,a(flip))]. 4045 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1451(a,1),4044(a,1,2)),flip(a)]. 4046 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1451(a,1),4045(a,1,3)),flip(a)]. 4047 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3955(a,1),4008(a,1,1))]. 4048 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(255,a,3957,a(flip),b,4047,a(flip)),flip(a)]. 4049 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(35(a,2),4048(a,1,2)),flip(a)]. 4050 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(255,a,2990,a(flip),b,4049,a)]. 4051 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2938,a,4049,a(flip))]. 4052 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1481(a,1),4051(a,1,2,1))]. 4053 R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). [para(2918(a,1),4051(a,1,2,1)),flip(a)]. 4054 R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). [hyper(255,a,2247,a(flip),b,4053,a)]. 4055 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3330(a,1),4032(a,2,2))]. 4056 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2878(a,1),4050(a,1,1)),flip(a)]. 4057 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(96,a,4056,a)]. 4058 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(19(a,1),4056(a,1,1,2,1)),flip(a)]. 4059 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(21(a,1),4057(a,1,1,1)),flip(a)]. 4060 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(472(a,1),4058(a,2,1,2))]. 4061 R((x \ (1 / y)) * x,y,x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(4058(a,2),1199(a,1,1))]. 4062 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2813(a,1),4058(a,2,1,2))]. 4063 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(4059(a,1),19(a,1,2)),flip(a)]. 4064 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(4063(a,2),3745(a,1,1))]. 4065 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(81,a,4060,a(flip),b,193,a)]. 4066 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(255,a,3558,a(flip),b,4062,a(flip))]. 4067 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(81,a,4062,a(flip),b,2810,a),flip(a)]. 4068 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(4062(a,1),3768(a,1,1)),flip(a)]. 4069 (x * (y \ T(y,x))) * y = y * x. [para(18(a,1),4066(a,1,1)),flip(a)]. 4070 x * (y \ T(y,x)) = (y * x) / y. [hyper(96,a,4069,a),flip(a)]. 4071 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(81,a,19,a(flip),b,4069,a),flip(a)]. 4072 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(23,a,127,a(flip),b,4069,a)]. 4073 R(x,y \ T(y,x),y) = (y * x) / T(y,x). [hyper(81,a,4069,a(flip),b,3253,a),flip(a)]. 4074 x \ ((y * x) / y) = y \ T(y,x). [hyper(87,a,4070,a)]. 4076 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(80,a,251,a(flip),b,4070,a),flip(a)]. 4077 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(80,a,167,a(flip),b,4070,a)]. 4078 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(22,a,3184,a,b,4070,a),flip(a)]. 4079 ((x * y) / x) / y = x \ T(x,y). [hyper(22,a,3179,a,b,4070,a),flip(a)]. 4080 (x \ T(x,y)) * y = (x * y) / x. [hyper(255,a,3154,a,b,4070,a(flip)),flip(a)]. 4082 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(4070(a,1),929(a,1,2))]. 4083 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(4070(a,1),2571(a,1,1))]. 4084 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(3240(a,1),4070(a,1,2)),flip(a)]. 4085 ((x * y) / x) \ y = T(x,y) \ x. [para(4070(a,1),3487(a,1,1))]. 4086 (T(x,y) \ x) * ((x * y) / x) = y. [para(4070(a,1),3584(a,1,2))]. 4087 T(x,T(y,x)) \ x = y \ T(y,x). [para(4072(a,1),3487(a,1,1)),flip(a)]. 4088 x * (T(y,T(x,y)) \ y) = T(x,y). [para(4072(a,1),3488(a,1,1))]. 4089 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(4074(a,1),438(a,1,1))]. 4090 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(4074(a,1),1859(a,1,1)),flip(a)]. 4091 x * (T(y,x) \ y) = T(x,T(y,x)). [para(4077(a,2),19(a,1,2))]. 4092 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(4077(a,2),3242(a,1,1))]. 4093 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(4079(a,1),452(a,1,1,1))]. 4094 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(4079(a,1),450(a,1,1,1))]. 4095 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((1 / (x * y)) \ T(1 / (x * y),x)) * x. [para(4029(a,2),4080(a,2,1)),flip(a)]. 4096 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(19(a,1),4085(a,1,1,1)),flip(a)]. 4097 (((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(4085(a,1),1145(a,1,1,2,2)),flip(a)]. 4098 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(4085(a,1),1605(a,1,2,2,1))]. 4099 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3648,a,4086,a)]. 4100 K(x \ (x / (y \ 1)),x) = T(x,T(y,x)) \ x. [hyper(255,a,1204,a,b,4087,a),flip(a)]. 4101 T(x,T(y,x)) * (y \ T(y,x)) = x. [para(4087(a,1),19(a,1,2))]. 4102 x * (y \ T(y,z)) != z | T(z,T(y,z)) = x. [para(4087(a,1),94(a,1,2)),flip(b)]. 4103 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(4087(a,1),3134(a,1,1))]. 4104 (x * (T(x,T(y,x)) \ x)) * y = y * x. [para(4087(a,2),4069(a,1,1,2))]. 4105 (x * y) / x = y * (T(y,T(x,y)) \ y). [para(4087(a,2),4070(a,1,2)),flip(a)]. 4106 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [hyper(255,a,3686,a(flip),b,4091,a(flip))]. 4107 L(x,y \ T(y,x),y) = x. [hyper(255,a,3577,a(flip),b,4101,a(flip)),flip(a)]. 4110 T(x,y) \ (y * (x \ T(x,y))) = x \ y. [hyper(80,a,4107,a(flip),b,3178,a),flip(a)]. 4111 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(3240(a,1),4103(a,1,1))]. 4112 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(128(a,1),4071(a,1,2,2))]. 4113 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(4083(a,1),431(a,1,1))]. 4114 T(x * (T(x,T(y,x)) \ x),y) = x. [hyper(172,a,4104,a,b,xx)]. 4116 T(x,y) \ ((x * y) / x) = x \ y. [para(4070(a,1),4110(a,1,2))]. 4117 T(x / y,T(y,x)) = y \ x. [hyper(899,a,4116,a)]. 4118 T(x,y) * (x \ y) = (x * y) / x. [para(4116(a,1),19(a,1,2))]. 4119 T(x,T(y,x * y)) = y \ (x * y). [para(20(a,1),4117(a,1,1))]. 4120 T(x / ((x * y) / x),y) = ((x * y) / x) \ x. [para(166(a,1),4117(a,1,2))]. 4121 T(x \ y,T(x,y)) = T(x \ y,x). [para(4117(a,1),185(a,1,1)),flip(a)]. 4122 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(4117(a,1),2008(a,1,1)),flip(a)]. 4123 T(x,x / (x / y)) = T(x,y). [hyper(23,a,1632,a,b,4118,a),flip(a)]. 4125 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(105(a,1),4118(a,1,2))]. 4126 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(4118(a,1),431(a,1,1))]. 4127 T(x,y) * y = x * ((x * y) / x). [para(4118(a,1),1078(a,1,2)),flip(a)]. 4128 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(4118(a,1),3162(a,1,1,1))]. 4129 T(x,x / (1 / y)) = T(x,x * y). [hyper(255,a,1637,a(flip),b,4123,a(flip)),flip(a)]. 4130 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(255,a,1000,a(flip),b,4123,a(flip)),flip(a)]. 4131 (x / y) \ T(x,y) = (x * y) / x. [hyper(80,a,4123,a(flip),b,998,a)]. 4132 T(x,x / y) = T(x,y \ x). [para(70(a,1),4123(a,1,2,2))]. 4133 T(x,(y \ x) \ x) = T(x,y). [para(145(a,1),4123(a,1,2)),flip(a)]. 4134 T(T(x,y) / (x / y),x) = x / (x / y). [para(4123(a,1),988(a,1,1,1))]. 4135 T(x,T(y,x)) * (y * x) = x * (x * y). [para(4123(a,1),1359(a,1,1))]. 4136 T(x,(y \ 1) \ x) = T(x,y * x). [hyper(1617,a,4132,a),flip(a)]. 4137 T(T(x,y \ x) / y,x) = x / y. [para(4132(a,1),988(a,1,1,1))]. 4138 T(x,T(y,y \ x)) = T(x,y). [para(128(a,2),4133(a,1,2))]. 4139 T(x,T(y,x * y)) = T(x,y). [hyper(255,a,37,a,b,4119,a)]. 4140 T(x,T(x \ y,y)) = T(x,x \ y). [para(19(a,1),4139(a,1,2,2))]. 4141 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(4121(a,1),127(a,1,2))]. 4143 x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). [para(4121(a,2),388(a,1,2,2))]. 4145 T(x,x \ y) * (x \ y) = x * (y / x). [para(19(a,1),4127(a,2,2,1))]. 4147 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(4129(a,1),1621(a,1,1))]. 4148 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(20(a,1),4131(a,1,1)),flip(a)]. 4149 T(x,(1 / y) * x) = T(x,y \ x). [para(73(a,1),4136(a,1,2,1)),flip(a)]. 4150 T(T(x * y,y) / x,x * y) = (x * y) / x. [para(18(a,1),4137(a,1,1,1,2))]. 4151 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(87,a,4112,a)]. 4154 (x * (y / x)) \ (T(x,x \ y) * ((x \ y) * z)) = L(z,x \ y,T(x,x \ y)). [para(4145(a,1),33(a,2,1)),flip(a)]. 4155 T(x,x \ y) * y = x * (x * (y / x)). [para(4145(a,1),1078(a,1,2)),flip(a)]. 4157 R(x,y \ T(y,x),y) = x. [hyper(255,a,144,a(flip),b,4073,a)]. 4159 R(T(x,y),z \ T(z,x),z) = T(x,y). [para(4157(a,1),47(a,2,1))]. 4160 (T(x,y) * (z \ T(z,x))) * z = T(x,y) * T(z,x). [para(4159(a,1),3253(a,1,1)),flip(a)]. 4161 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(167(a,1),4089(a,2,2)),flip(a)]. 4162 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(255,a,3236,a(flip),b,4090,a)]. 4163 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(3498,a,4162,a),flip(a)]. 4165 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(3439(a,1),4162(a,1,2))]. 4166 T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. [para(4162(a,1),3498(a,1))]. 4167 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [hyper(255,a,3557,a(flip),b,4165,a(flip)),flip(a)]. 4168 T(x,x / (x * y)) = T(x,y \ 1). [hyper(255,a,3443,a(flip),b,4165,a(flip)),flip(a)]. 4169 T(x,x / (y * x)) = T(x,y \ 1). [hyper(255,a,3438,a(flip),b,4165,a(flip)),flip(a)]. 4170 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2418,a,4168,a)]. 4174 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(81,a,4168,a(flip),b,2412,a)]. 4175 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(80,a,4168,a(flip),b,1916,a),flip(a)]. 4176 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(4168(a,1),2060(a,1,1,2))]. 4177 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(4168(a,1),2414(a,1,2)),flip(a)]. 4178 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(80,a,4169,a(flip),b,1063,a)]. 4179 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(128(a,2),4163(a,1,2,1))]. 4181 T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). [para(70(a,1),4174(a,2,2,1))]. 4183 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(4174(a,2),162(a,2,1))]. 4184 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(4175(a,1),3795(a,1,1))]. 4185 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(80,a,4178,a,b,4145,a)]. 4186 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(80,a,4178,a,b,xx)]. 4187 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(73(a,1),4178(a,2,2,1))]. 4188 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(350(a,2),4178(a,2,2)),flip(a)]. 4189 R(x,(y \ x) / x,x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [para(4178(a,2),124(a,1,1,1)),flip(a)]. 4192 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(4079(a,1),4128(a,1,1))]. 4193 K(T(x,y),y) = K(x,(x * y) / x). [hyper(255,a,4089,a(flip),b,4192,a(flip))]. 4194 K(T(x,x \ y),x \ y) = K(x,y / x). [para(19(a,1),4193(a,2,2,1))]. 4195 K(T(x,T(y,x)),T(y,x)) = K(x,y). [para(167(a,1),4193(a,2,2))]. 4197 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(255,a,4130,a(flip),b,4147,a)]. 4198 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(4197(a,1),184(a,1,2))]. 4199 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(4197(a,1),1068(a,1,2)),flip(a)]. 4200 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(129(a,1),4076(a,1,2))]. 4201 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(255,a,4096,a,b,4200,a(flip)),flip(a)]. 4202 x / (x / y) = y * (T(y,y \ x) \ y). [para(4201(a,2),19(a,1,2)),flip(a)]. 4203 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(18(a,1),4202(a,2,2,1,2))]. 4204 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(255,a,1189,a,b,4078,a(flip)),flip(a)]. 4205 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(255,a,3783,a(flip),b,4078,a(flip)),flip(a)]. 4207 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(4078(a,1),2356(a,2,2,1))]. 4208 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(4078(a,1),2417(a,2,2,1))]. 4209 (T(x,T(y,x)) \ x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(4100(a,1),3890(a,1,1))]. 4211 T(x \ T(x * y,y),x) = R(y,x,y). [para(4148(a,1),703(a,2,1)),flip(a)]. 4212 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(4148(a,1),714(a,1,1))]. 4213 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(4212(a,1),106(a,1,1))]. 4214 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(4177(a,1),2873(a,2,1,2))]. 4216 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(255,a,933,a(flip),b,4187,a(flip)),flip(a)]. 4217 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(23,a,397,a,b,4199,a),flip(a)]. 4218 (x / ((x * y) / x)) * y = x * (T(x,y) \ x). [hyper(255,a,1627,a(flip),b,4203,a(flip)),flip(a)]. 4219 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(255,a,1125,a(flip),b,4203,a(flip)),flip(a)]. 4221 T(x * (T(x,T(y,x)) \ x),T(y,x)) = L(R(x,y,x),y,x). [para(4105(a,1),4217(a,1,1))]. 4222 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(4148(a,1),4217(a,1,1))]. 4223 x \ (y * (T(y,x) \ y)) = T(y / ((y * x) / y),x). [hyper(172,a,4218,a,b,19,a),flip(a)]. 4225 (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). [para(4219(a,1),73(a,1,1))]. 4226 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(4219(a,1),1557(a,2,2,1,2))]. 4227 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(73(a,1),4188(a,2,2,2))]. 4228 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1138(a,1),4084(a,2,2))]. 4229 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(255,a,4143,a(flip),b,4122,a(flip))]. 4230 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(255,a,615,a(flip),b,4229,a(flip))]. 4231 K(x,T(y,y * x)) = K(x,y). [hyper(255,a,615,a(flip),b,4230,a(flip))]. 4233 K(x \ 1,T(y,x \ y)) = K(x \ 1,y). [para(1990(a,1),4231(a,1,2))]. 4234 K((x \ 1) \ 1,T(y,x * y)) = K((x \ 1) \ 1,y). [para(4136(a,1),4233(a,1,2))]. 4235 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(22,a,859,a,b,4167,a),flip(a)]. 4236 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(255,a,4175,a(flip),b,4176,a),flip(a)]. 4237 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(4179(a,2),24(a,1))]. 4239 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [hyper(255,a,4120,a(flip),b,4223,a)]. 4240 K((x \ 1) \ 1,y) = K(x,T(y,x * y)). [hyper(255,a,3312,a(flip),b,4234,a(flip))]. 4241 K(x,T(y,x * y)) = K(x,y). [hyper(255,a,3312,a(flip),b,4240,a(flip))]. 4242 K(x,T(x \ y,y)) = K(x,x \ y). [para(19(a,1),4241(a,1,2,2))]. 4243 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(255,a,3080,a(flip),b,4235,a(flip))]. 4244 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3264(a,1),4236(a,1,2,2,1)),flip(a)]. 4245 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(160(a,2),4243(a,1,2))]. 4246 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(81,a,4245,a(flip),b,774,a),flip(a)]. 4247 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(4092(a,1),840(a,1,1))]. 4248 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(255,a,4175,a(flip),b,4184,a)]. 4249 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(255,a,1401,a(flip),b,4067,a(flip)),flip(a)]. 4250 (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. [para(4125(a,1),25(a,1))]. 4251 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(4078(a,1),4205(a,1,1))]. 4252 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(4175(a,1),4207(a,1,1))]. 4253 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(3470(a,1),4227(a,1,2))]. 4254 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(4253(a,1),3725(a,1,2)),flip(a)]. 4255 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(255,a,3726,a(flip),b,4254,a),flip(a)]. 4256 ((1 / (x * y)) * x) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [hyper(255,a,3215,a,b,4228,a(flip)),flip(a)]. 4257 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(4228(a,2),24(a,1))]. 4258 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(255,a,4083,a(flip),b,4246,a(flip)),flip(a)]. 4259 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(255,a,2047,a(flip),b,4258,a(flip)),flip(a)]. 4260 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(18(a,1),4259(a,1,1,1)),flip(a)]. 4261 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(18(a,1),4260(a,1,1,1)),flip(a)]. 4262 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [para(4029(a,2),4256(a,1,1))]. 4263 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(255,a,3962,a(flip),b,4099,a(flip)),flip(a)]. 4264 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(3065(a,1),4263(a,2,1))]. 4265 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(255,a,4261,a(flip),b,4264,a(flip))]. 4266 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(4265(a,1),2710(a,1,2,1))]. 4267 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(255,a,263,a(flip),b,4055,a),flip(a)]. 4268 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(31(a,2),4247(a,2,1))]. 4269 x * ((y * x) * T((y * x) \ 1,x)) = (((x \ (1 / y)) * x) * y) * x. [hyper(230,a,4061,a),flip(a)]. 4270 x * (y * (x * T(x \ (y \ 1),x))) = (((x \ (1 / y)) * x) * y) * x. [para(832(a,1),4269(a,1,2))]. 4271 (((x \ (1 / y)) * x) * y) * x = x * (y * ((x \ (y \ 1)) * x)). [para(127(a,1),4270(a,1,2,2)),flip(a)]. 4272 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(255,a,4248,a,b,4244,a)]. 4273 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) != x * z | ((x \ (1 / y)) * x) * y = z. [para(4262(a,2),24(a,1))]. 4274 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3371(a,1),4272(a,2,1,2))]. 4275 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(16(a,1),4068(a,2,1,1,2))]. 4276 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(73(a,1),4275(a,2,2))]. 4277 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(255,a,1744,a(flip),b,4226,a(flip))]. 4278 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(127(a,1),4277(a,2,1,2))]. 4279 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(4239(a,1),4278(a,1,2,1))]. 4280 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(4085(a,1),4098(a,2,2))]. 4281 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(4033(a,2),4005(a,1))]. 4282 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2899(a,1),4214(a,1,1,1))]. 4283 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3976(a,1),4282(a,1,1,1))]. 4284 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(129(a,1),4283(a,1,1))]. 4285 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(4186(a,1),4284(a,2,1))]. 4286 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(255,a,21,a(flip),b,4285,a)]. 4287 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(23,a,2926,a(flip),b,4285,a),flip(a)]. 4290 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(4286(a,1),2831(a,1,1)),flip(a)]. 4291 K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. [para(4287(a,1),3925(a,1,1)),flip(a)]. 4292 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(4291(a,1),3088(a,1,2))]. 4293 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(4291(a,1),3204(a,1,1))]. 4294 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3958(a,1),4013(a,1,2))]. 4295 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(255,a,3957,a(flip),b,4015,a(flip)),flip(a)]. 4296 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((x * y) * T((x * y) \ 1,x)) * x. [para(663(a,1),4095(a,2,1))]. 4297 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = (((x \ (1 / y)) * x) * y) * x. [para(1138(a,1),4296(a,2,1))]. 4298 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (y * ((x \ (y \ 1)) * x)). [hyper(255,a,4271,a(flip),b,4297,a)]. 4299 ((x \ (1 / y)) * x) * y = y * ((x \ (y \ 1)) * x). [hyper(4273,a,4298,a)]. 4300 (x \ 1) * ((y \ ((x \ 1) \ 1)) * y) = ((y \ x) * y) * (x \ 1). [para(70(a,1),4299(a,1,1,1,2)),flip(a)]. 4301 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(255,a,4292,a(flip),b,4300,a(flip))]. 4302 (T(x,T(y,x)) \ x) \ (L(z,y,T(x,T(y,x)) \ x) * T(y,x)) = y * T(z,T(y,x)). [para(4100(a,1),4209(a,1,2,1,3))]. 4303 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(752,a,4294,a)]. 4304 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(255,a,3940,a(flip),b,4303,a(flip))]. 4306 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2263(a,2),4304(a,1,3))]. 4307 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(3068(a,1),4306(a,1,3)),flip(a)]. 4308 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1451(a,1),3978(a,2,2))]. 4309 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(70(a,1),4308(a,1,1))]. 4310 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(255,a,4286,a(flip),b,4309,a)]. 4311 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(564(a,1),4310(a,1,2,2,2))]. 4312 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(288(a,1),4310(a,1,2,2,2))]. 4313 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(255,a,4001,a(flip),b,4312,a(flip)),flip(a)]. 4316 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(4313(a,1),3985(a,1,2,1))]. 4317 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(255,a,3108,a(flip),b,4316,a(flip)),flip(a)]. 4318 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(4317(a,1),4276(a,1,1))]. 4319 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(255,a,4301,a(flip),b,4318,a(flip)),flip(a)]. 4320 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(4318(a,1),24(a,1))]. 4327 ((x * (y * T(y \ T(z,x),y))) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(2471(a,1),4097(a,1,1))]. 4328 ((x * ((y \ T(z,x)) * y)) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(127(a,1),4327(a,1,1,1,2))]. 4329 ((x * ((y \ T(z,x)) * y)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(4085(a,1),4328(a,1,2))]. 4330 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(230,a,4064,a),flip(a)]. 4332 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(255,a,4208,a(flip),b,4330,a(flip))]. 4333 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(4170(a,1),4332(a,1,1)),flip(a)]. 4334 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3371(a,1),4333(a,1,2,1,2)),flip(a)]. 4335 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3371(a,1),4334(a,1,1)),flip(a)]. 4336 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(18(a,1),4335(a,1,2,2)),flip(a)]. 4337 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(18(a,1),4336(a,1,2)),flip(a)]. 4338 L(x,y \ T(y,z),y) = x. [hyper(672,a,4337,a)]. 4340 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(96,a,4337,a)]. 4341 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(22,a,1078,a,b,4337,a)]. 4342 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(22,a,4155,a(flip),b,4337,a)]. 4343 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(22,a,1074,a(flip),b,4337,a)]. 4345 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(4077(a,2),4337(a,1,2,1))]. 4347 L(x,y,y \ T(y,z)) = x. [hyper(3466,a,4338,a)]. 4351 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(80,a,4338,a(flip),b,3571,a)]. 4353 L(x,T(y,T(z,y)) \ y,z) = x. [para(4087(a,2),4338(a,1,2))]. 4356 L(x,y,T(z,T(y,z)) \ z) = x. [para(4087(a,2),4347(a,1,3))]. 4357 L(x,T(y,z) \ y,(y * z) / y) = x. [para(166(a,1),4353(a,1,2,1,2))]. 4358 (T(x,T(y,x)) \ x) \ (z * T(y,x)) = y * T(z,T(y,x)). [para(4356(a,1),4302(a,1,2,1))]. 4359 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(80,a,4357,a(flip),b,4280,a),flip(a)]. 4360 R(x,x \ T(x,y),z) = x. [hyper(680,a,4340,a)]. 4361 R(x,x \ (K(y,x) \ x),z) = x. [para(4106(a,1),4360(a,1,2,2))]. 4362 R(x,K(y,x) \ 1,z) = x. [para(3683(a,1),4361(a,1,2))]. 4363 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(255,a,4252,a(flip),b,4341,a(flip))]. 4364 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(255,a,3643,a(flip),b,4341,a(flip))]. 4366 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(96,a,4343,a)]. 4367 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [hyper(87,a,4343,a)]. 4368 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(4343(a,1),222(a,1,2)),flip(b)]. 4372 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(3254,a,4366,a)]. 4373 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(4366(a,1),4268(a,1,1)),flip(a)]. 4375 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(255,a,3490,a(flip),b,4372,a(flip)),flip(a)]. 4377 (T(x,y) \ x) * (x * y) = y * x. [hyper(22,a,4135,a(flip),b,4345,a)]. 4378 K(x,y) = T(T(y,x) \ y,y * x). [hyper(172,a,4377,a,b,104,a),flip(a)]. 4379 (x * y) / (y * x) = T(y,x) \ y. [hyper(96,a,4377,a)]. 4380 T(x,y / x) \ x = y / (x * (y / x)). [hyper(81,a,21,a(flip),b,4377,a),flip(a)]. 4383 T(T(x,x \ y) \ x,y) = K(x \ y,x). [para(19(a,1),4378(a,2,2)),flip(a)]. 4384 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(21(a,1),4379(a,1,2)),flip(a)]. 4385 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(4379(a,2),2710(a,1,2,1)),flip(a)]. 4386 T(x \ (y / (y / x)),y) = K(x \ y,x). [para(4201(a,1),4383(a,1,1))]. 4387 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(255,a,4266,a(flip),b,4385,a),flip(a)]. 4388 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(2044(a,1),4387(a,1,2))]. 4389 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(4359(a,1),19(a,1,2))]. 4390 (x * (y / x)) / y = (x \ y) \ (y / x). [para(129(a,1),4384(a,1,1)),flip(a)]. 4391 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(255,a,4151,a(flip),b,4390,a)]. 4392 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(255,a,4204,a(flip),b,4391,a(flip))]. 4393 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(255,a,4094,a,b,4389,a(flip)),flip(a)]. 4394 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(19(a,1),4368(a,1,2))]. 4395 R(K(x,y),x,z) = K(x,y). [hyper(255,a,4161,a,b,4373,a)]. 4397 (K(x,y) * x) * z = K(x,y) * (x * z). [para(4395(a,1),122(a,1,1)),flip(a)]. 4398 L(x,y,K(y,z)) = x. [hyper(422,a,4397,a)]. 4406 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1291,a,4375,a),flip(a)]. 4408 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(4392(a,1),3251(a,1,1))]. 4409 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(3241,a,4408,a),flip(a)]. 4410 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(18(a,1),4409(a,1,2,2))]. 4411 T(x,(x / y) \ 1) = T(x,x \ y). [para(73(a,1),4409(a,1,2,2)),flip(a)]. 4412 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(4409(a,1),169(a,1,2))]. 4415 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4409(a,1),4201(a,1,1)),flip(a)]. 4416 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4409(a,1),4185(a,1,1))]. 4417 (x / y) \ T(x,x \ y) = x * (y / x). [para(4411(a,1),4187(a,1,2))]. 4418 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(73(a,1),4412(a,1,2,2))]. 4420 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(20(a,1),4417(a,2,2))]. 4421 ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). [para(4417(a,1),1812(a,1,1,2,1))]. 4422 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(255,a,128,a(flip),b,4410,a(flip))]. 4423 x / T(y * x,y \ 1) = (y * x) \ x. [para(4410(a,1),199(a,1,2))]. 4424 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(255,a,3371,a(flip),b,4422,a(flip)),flip(a)]. 4425 (x \ ((1 / y) \ x)) * z != (1 / y) \ x | T(x,y) = z. [para(4418(a,1),24(a,1)),flip(a)]. 4426 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(37(a,2),4420(a,1,2,2))]. 4427 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(3046(a,1),4416(a,2,2))]. 4428 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(255,a,4076,a(flip),b,4406,a(flip)),flip(a)]. 4429 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(4406(a,1),4103(a,1,1)),flip(a)]. 4430 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(255,a,4415,a(flip),b,4428,a(flip)),flip(a)]. 4431 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(255,a,1200,a,b,4430,a),flip(a)]. 4432 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(255,a,924,a(flip),b,4430,a)]. 4434 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(4430(a,2),33(a,2,1)),flip(a)]. 4436 T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). [para(4430(a,2),1646(a,1,1))]. 4437 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(4430(a,2),3227(a,2,2)),flip(a)]. 4438 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4431(a,2),3134(a,1,1))]. 4439 T(x,y) \ x = y \ T(y,x). [para(3371(a,1),4432(a,1,1))]. 4440 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(255,a,4076,a(flip),b,4439,a)]. 4441 T(x,y) * (y \ T(y,x)) = x. [para(4439(a,1),19(a,1,2))]. 4442 (x * y) / x = y * (T(y,x) \ y). [para(4439(a,2),4070(a,1,2)),flip(a)]. 4443 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4439(a,2),4337(a,1,2,1))]. 4444 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4439(a,2),4341(a,1,1)),flip(a)]. 4445 K(x,y) = T(x \ T(x,y),y * x). [para(4439(a,1),4378(a,2,1))]. 4446 T(x,T(y,x)) = T(x,y). [hyper(4102,a,4441,a)]. 4448 T(x,y) * T(y,x) = x * y. [para(4441(a,1),4160(a,1,1)),flip(a)]. 4449 T(x,y) \ (x * y) = T(y,x). [hyper(1129,a,4446,a)]. 4450 T(x,x \ y) \ y = T(x \ y,x). [hyper(1128,a,4446,a)]. 4451 R(T(x,x * y),y,x) = T(x,y). [hyper(255,a,4197,a,b,4446,a(flip)),flip(a)]. 4452 (x / T(y,x)) * y = T(x,y). [hyper(255,a,4130,a,b,4446,a(flip)),flip(a)]. 4454 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(255,a,4388,a(flip),b,4446,a(flip))]. 4455 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(255,a,278,a(flip),b,4446,a(flip))]. 4456 T(x,y) / y = x / T(y,x). [hyper(81,a,4446,a(flip),b,4130,a)]. 4457 T(x,y) / (T(y,x) \ x) = y. [hyper(81,a,4446,a(flip),b,1100,a)]. 4458 T(x,y) \ y = x \ T(y,x). [hyper(80,a,4446,a(flip),b,1100,a),flip(a)]. 4459 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(4446(a,1),43(a,1,1)),flip(a)]. 4460 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(43(a,1),4446(a,1,2))]. 4462 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(45(a,2),4446(a,1,2))]. 4463 T(x,y / x) = T(x,x \ y). [para(129(a,1),4446(a,1,2)),flip(a)]. 4465 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(4446(a,1),182(a,1,2,1))]. 4467 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(543(a,1),4446(a,1,2))]. 4468 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(4446(a,1),183(a,1,2,1))]. 4469 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4446(a,1),184(a,1,2,1))]. 4470 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(4446(a,1),361(a,1,2,1))]. 4473 T(x * (T(x,y) \ x),y) = x. [para(4446(a,1),4114(a,1,1,2,1))]. 4474 K(T(x,y),T(y,x)) = K(x,y). [para(4446(a,1),4195(a,1,1))]. 4475 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(4446(a,1),4198(a,1,2)),flip(a)]. 4476 (x / (y * x)) \ T(x,y) = x * y. [para(4446(a,1),4426(a,1,2))]. 4477 T(x,y) * (x \ T(y,x)) = y. [hyper(1099,a,4448,a)]. 4478 T(x,y) \ (y * x) = T(T(y,x),T(x,y)). [hyper(172,a,4448,a,b,19,a),flip(a)]. 4479 (x * y) / T(y,x) = T(x,y). [hyper(96,a,4448,a)]. 4481 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(4448(a,1),29(a,2,1,2)),flip(a)]. 4482 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4448(a,1),29(a,2,2,1)),flip(a)]. 4485 (x * y) * L(z,T(y,x),T(x,y)) = T(x,y) * (T(y,x) * z). [para(4448(a,1),112(a,1,1))]. 4486 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(4448(a,1),122(a,1,2))]. 4491 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). [para(43(a,1),4457(a,1,2,1))]. 4492 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(4458(a,1),101(a,1,1,2,1))]. 4493 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(4458(a,1),2325(a,1,2,1))]. 4494 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(4458(a,1),2115(a,1,2,1))]. 4496 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(255,a,721,a,b,4463,a(flip)),flip(a)]. 4497 (x * (y / x)) / T(x,x \ y) = y / x. [para(4463(a,1),144(a,1,2))]. 4498 x / T(y,x / y) = y \ x. [para(4463(a,2),199(a,1,2))]. 4501 (x * (y / x)) * x = y * T(x,x \ y). [para(4463(a,1),731(a,2,2))]. 4502 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(4463(a,1),816(a,1,2,2))]. 4503 T(x,T(y,x / y)) = T(x,y). [para(4463(a,2),4138(a,1,2))]. 4505 L(R(x,y,x),y,x) = x. [hyper(255,a,4221,a(flip),b,4473,a(flip)),flip(a)]. 4506 T(x / (x / y),y \ x) = y. [para(4202(a,2),4473(a,1,1))]. 4508 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(255,a,4222,a,b,4505,a(flip)),flip(a)]. 4509 R(L(x,y,x),y,x) = x. [hyper(255,a,49,a,b,4505,a(flip)),flip(a)]. 4510 (L(x,y,x) * y) * x = x * (y * x). [para(4505(a,1),460(a,1,1)),flip(a)]. 4511 (x * (y * x)) / x = L(x,y,x) * y. [para(4509(a,1),252(a,1,1,1))]. 4516 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(4479(a,1),894(a,1,1)),flip(a)]. 4518 x / T(y \ x,y) = (y \ x) \ x. [para(70(a,1),4498(a,1,2,2))]. 4519 T(x * y,T(y,x)) = T(x * y,y). [para(20(a,1),4503(a,1,2,2))]. 4522 T(x / (x / (x / y)),y) = x / y. [para(73(a,1),4506(a,1,2))]. 4523 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(4506(a,1),127(a,1,2)),flip(a)]. 4524 ((x \ y) * x) / (x \ y) = y / (y / x). [para(4506(a,1),167(a,1,1,2))]. 4525 R(T(x,y),x \ y,x) = T(x,x \ y). [para(19(a,1),4451(a,1,1,2))]. 4526 ((x * y) / x) \ x = y \ ((y * x) / y). [para(4442(a,2),4225(a,1,1))]. 4527 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(255,a,4236,a,b,4445,a),flip(a)]. 4528 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(255,a,4211,a(flip),b,4450,a)]. 4530 (x \ T(x,x \ y)) \ y = x * T(x \ y,x). [para(4450(a,1),4351(a,2,2))]. 4532 T(x,(1 / x) * y) = T(x,x \ y). [hyper(255,a,3065,a,b,4454,a(flip)),flip(a)]. 4533 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(4454(a,1),4267(a,2,1,2))]. 4534 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(4455(a,1),677(a,1,1))]. 4536 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(45(a,2),4459(a,1,2))]. 4537 T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). [para(4446(a,1),4460(a,1,2)),flip(a)]. 4538 T(x,y) / (x * y) = x / (y * x). [para(4476(a,1),70(a,1,2))]. 4540 (x * (y / x)) / x = y / (y / (y / x)). [para(4522(a,1),167(a,1,1,2))]. 4541 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(4522(a,1),682(a,1,1))]. 4542 x / T(y,(1 / y) * x) = y \ x. [para(4532(a,2),199(a,1,2))]. 4543 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(255,a,163,a,b,4538,a)]. 4544 T(x,x \ y) / y = x / ((x \ y) * x). [para(19(a,1),4538(a,1,2))]. 4545 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(70(a,1),4542(a,1,2,2,1))]. 4546 T(L(x,y,x) * y,x) = y * x. [hyper(172,a,4510,a,b,xx)]. 4547 x * T(y,x * y) = L(y,x,y) * x. [hyper(23,a,885,a,b,4510,a),flip(a)]. 4548 T(x,L(x,y,x) * y) = T(x,y * x). [para(4546(a,1),4446(a,1,2)),flip(a)]. 4549 T((x * y) / x,L(x,y,x)) = y. [hyper(1848,a,4511,a)]. 4550 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(80,a,4511,a,b,xx)]. 4551 (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. [para(4511(a,2),865(a,1))]. 4552 T(x,L(y,x,y)) = T(x,y). [para(4549(a,1),202(a,1,1)),flip(a)]. 4553 T(x,T(y,y * x)) = T(x,y). [hyper(255,a,4467,a,b,4552,a(flip)),flip(a)]. 4554 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(4552(a,1),127(a,1,2))]. 4556 T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). [para(4553(a,1),183(a,1,2,1))]. 4557 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(4553(a,1),184(a,1,2,1))]. 4560 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(255,a,128,a(flip),b,4525,a)]. 4561 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(611,a,4543,a)]. 4562 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R((T(x,y) / (x * y)) \ 1,z,u). [para(4543(a,1),1878(a,1,1)),flip(a)]. 4563 T(x,y * x) = T(x,x * y). [hyper(22,a,547,a,b,4547,a)]. 4564 T(x,(x \ y) * x) = T(x,y). [hyper(22,a,559,a(flip),b,4547,a)]. 4565 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(255,a,47,a,b,4563,a(flip)),flip(a)]. 4566 T(x,x * (1 / y)) = T(x,y \ x). [hyper(255,a,4149,a(flip),b,4563,a(flip))]. 4567 T(x,x * (y / x)) = T(x,y). [para(21(a,1),4563(a,1,2)),flip(a)]. 4568 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4563(a,1),43(a,1,1))]. 4569 T(T(x,y * x),z) = T(T(x,z),x * y). [para(4563(a,2),43(a,1,1))]. 4570 T(T(x,y),(x \ z) * x) = T(T(x,z),y). [para(4564(a,1),43(a,1,1)),flip(a)]. 4571 ((x \ y) * x) * T(x,y) != z | x * ((x \ y) * x) = z. [para(4564(a,1),225(a,1,2))]. 4572 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(4564(a,1),4452(a,1,1,2))]. 4573 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4567(a,1),4477(a,1,1))]. 4574 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(255,a,4563,a(flip),b,4548,a)]. 4575 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(559(a,1),4548(a,1,2))]. 4577 R(T(T(x,y),z),x \ y,x) = T((x \ y) \ y,z). [para(4560(a,1),47(a,2,1))]. 4578 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4574(a,1),1356(a,1,1))]. 4579 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(70(a,1),4438(a,1,1,1,2)),flip(a)]. 4580 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(255,a,4380,a(flip),b,4440,a(flip)),flip(a)]. 4581 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(22,a,1130,a,b,4443,a)]. 4582 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(255,a,4389,a,b,4444,a),flip(a)]. 4583 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(255,a,4459,a(flip),b,4478,a)]. 4584 T(x,y) * T(T(y,x),x) = y * x. [para(4583(a,1),19(a,1,2))]. 4585 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(45(a,2),4583(a,1,1))]. 4587 (x \ y) * T(y,y \ (x \ y)) = (x \ T(y,x \ 1)) * y. [para(4178(a,2),4501(a,1,1)),flip(a)]. 4589 T(x,x \ T(x * y,y)) = T(x,y). [para(4508(a,1),4140(a,1,2)),flip(a)]. 4590 K(x,x \ T(x * y,y)) = K(x,y). [para(4508(a,1),4242(a,1,2)),flip(a)]. 4591 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(255,a,4213,a,b,4590,a(flip))]. 4592 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(255,a,1367,a,b,4523,a(flip)),flip(a)]. 4593 T(x / (x / y),x) = L(y,y \ x,y). [para(4524(a,1),621(a,1,1))]. 4594 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(4593(a,2),45(a,2,1)),flip(a)]. 4595 L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). [para(70(a,1),4593(a,1,1,2)),flip(a)]. 4596 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(4593(a,2),418(a,1,2))]. 4597 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(4540(a,1),808(a,1,1))]. 4598 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(4409(a,1),4544(a,1,1))]. 4599 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [para(4545(a,1),73(a,1,1)),flip(a)]. 4600 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(4554(a,1),25(a,1)),flip(a)]. 4601 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(129(a,1),4561(a,1,3)),flip(a)]. 4602 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(255,a,43,a,b,4568,a(flip))]. 4603 K(x \ y,x) \ x = x * K(x,y / x). [hyper(4166,a,4579,a),flip(a)]. 4604 ((x \ y) * x) * (y / x) = y * (x \ y). [para(4592(a,1),21(a,1,1))]. 4605 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3685,a,4603,a)]. 4606 K(x,(x * y) / x) = K(y,x) \ 1. [para(18(a,1),4605(a,1,1,1)),flip(a)]. 4607 K(T(x,y),y) \ 1 = K(y,x). [para(167(a,1),4606(a,1,2)),flip(a)]. 4609 K(T(x,y),y) * K(y,x) = 1. [para(4607(a,1),19(a,1,2))]. 4610 R(x,K(x,y),z) = x. [para(4607(a,1),4362(a,1,2))]. 4611 R(T(x,y),K(x,z),u) = T(x,y). [para(4610(a,1),47(a,2,1))]. 4612 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4610(a,1),460(a,1,1,1)),flip(a)]. 4614 K(T(x,y),y) * z != 1 | K(y,x) = z. [para(4609(a,1),24(a,1)),flip(a)]. 4615 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4609(a,1),222(a,1,2)),flip(b)]. 4616 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4611(a,1),461(a,1,1,1)),flip(a)]. 4617 (x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y). [para(73(a,1),4604(a,1,1,1))]. 4618 R(x,y,T(x,y)) = R(x,y,x). [hyper(23,a,462,a,b,4475,a),flip(a)]. 4620 x \ T(y * x,y) = R(y,x,y). [hyper(255,a,986,a,b,4618,a(flip)),flip(a)]. 4621 x * R(y,x,y) = T(y * x,y). [para(4618(a,1),987(a,1,2))]. 4622 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4618(a,1),1961(a,1,2)),flip(a)]. 4623 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(4446(a,1),4618(a,1,3))]. 4624 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(19(a,1),4620(a,1,2,1)),flip(a)]. 4625 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4620(a,1),114(a,1,1)),flip(a)]. 4626 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4621(a,1),222(a,1,2)),flip(b)]. 4627 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4621(a,1),3735(a,2,1))]. 4628 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4621(a,1),4591(a,2,1))]. 4629 K(x \ T(x * y,x),x) = K(y,x). [hyper(255,a,1695,a(flip),b,4628,a),flip(a)]. 4630 K(x \ T(y,x),x) = K(x \ y,x). [para(19(a,1),4629(a,1,1,2,1))]. 4631 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(166(a,1),4630(a,1,1,2)),flip(a)]. 4632 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(4526(a,2),4631(a,1,1))]. 4633 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4632(a,1),4279(a,1,2)),flip(a)]. 4634 T(x,y) * T(T(y,z),x) = T(y,z) * T(x,y). [para(43(a,1),4465(a,1,2))]. 4635 T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4446(a,1),4491(a,1,2,1))]. 4636 (x \ T(x,x \ y)) \ y = (x \ y) * x. [hyper(255,a,127,a(flip),b,4530,a)]. 4637 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(128(a,1),4636(a,1,1,2))]. 4638 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(4637(a,1),70(a,1,2))]. 4639 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(255,a,4391,a,b,4638,a),flip(a)]. 4640 T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). [hyper(255,a,4460,a(flip),b,4537,a)]. 4641 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(255,a,4564,a(flip),b,4575,a)]. 4642 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4641(a,1),1355(a,1,1))]. 4643 x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. [hyper(255,a,1557,a(flip),b,4581,a),flip(a)]. 4644 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(255,a,1604,a,b,4582,a(flip)),flip(a)]. 4647 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(4601(a,1),354(a,1,1))]. 4648 T(x,(y \ x) * y) = x. [hyper(4250,a,4633,a)]. 4649 T((x \ y) * x,y) = (x \ y) * x. [hyper(40,a,4648,a)]. 4650 T(x * (y / x),y) = x * (y / x). [para(75(a,1),4648(a,1,2))]. 4651 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4650(a,2),4639(a,1,1))]. 4652 L(T(x,y),T(z,x),z / T(z,x)) * z = (z / T(z,x)) * (T(x,y) * T(z,x)). [para(4634(a,1),676(a,1,2)),flip(a)]. 4653 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(4243(a,1),4651(a,1,1,1)),flip(a)]. 4654 R(T(T(x,y),(x \ z) * x),x \ z,x) = T((x \ z) \ z,y). [para(4570(a,2),4577(a,1,1))]. 4656 ((x \ y) / y) * (x * (y / x)) = y / x. [para(4647(a,1),713(a,1,2))]. 4657 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(255,a,4111,a(flip),b,4429,a)]. 4658 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(255,a,4446,a(flip),b,4657,a(flip))]. 4659 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(255,a,4446,a(flip),b,4658,a(flip))]. 4660 T(x,y / (z * y)) = T(x,z \ 1). [para(18(a,1),4659(a,1,2,1))]. 4661 T(x,(y / z) \ 1) = T(x,z / y). [para(73(a,1),4659(a,1,2,1)),flip(a)]. 4665 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4661(a,1),4274(a,1,1,2))]. 4666 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(542(a,1),4468(a,1,2))]. 4667 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(255,a,4554,a(flip),b,4666,a)]. 4669 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4563(a,2),4667(a,1,2))]. 4670 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(255,a,561,a,b,4669,a(flip)),flip(a)]. 4672 L(x,T(y,x),x) = L(x,y,x). [hyper(4600,a,4670,a),flip(a)]. 4673 (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(4469(a,1),176(a,1,1,2))]. 4674 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4451(a,1),4469(a,1,2)),flip(a)]. 4675 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4496(a,1),4469(a,1,2)),flip(a)]. 4676 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4525(a,1),4469(a,1,2)),flip(a)]. 4678 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4454(a,1),4527(a,1,2,2,1))]. 4679 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4678(a,1),19(a,1,2)),flip(a)]. 4680 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(4237,a,4679,a)]. 4681 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(255,a,4255,a,b,4680,a(flip)),flip(a)]. 4682 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(255,a,3702,a(flip),b,4681,a)]. 4683 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(255,a,3723,a,b,4682,a(flip)),flip(a)]. 4684 K((1 / x) * y,x) = K(x \ y,x). [para(18(a,1),4683(a,1,1,2)),flip(a)]. 4685 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(37(a,2),4684(a,2,1))]. 4686 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(70(a,1),4684(a,1,1,1)),flip(a)]. 4687 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(856(a,1),4685(a,1,1))]. 4688 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(255,a,3724,a(flip),b,4687,a(flip)),flip(a)]. 4689 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4688(a,1),4607(a,1,1))]. 4690 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4615,a,4689,a),flip(a)]. 4691 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [hyper(255,a,3550,a(flip),b,4690,a(flip))]. 4692 K(x,x \ ((x \ 1) \ y)) = K(x,y). [para(19(a,1),4690(a,1,2)),flip(a)]. 4694 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(23,a,1676,a(flip),b,4572,a)]. 4695 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [para(4694(a,1),21(a,1,1))]. 4697 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1684(a,1),4573(a,1,2))]. 4698 T(x,y) * (y / T(x,y)) = x * (y / x). [para(4456(a,1),4697(a,1,2))]. 4699 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4698(a,1),24(a,1)),flip(a)]. 4700 (T(x,y \ 1) / (y \ x)) \ x = (x \ (y \ x)) * x. [para(4598(a,2),73(a,1,1))]. 4701 (x * (y / x)) * (y / (y / x)) = y * x. [para(73(a,1),4617(a,2,2))]. 4702 (x * y) * ((y * x) / ((y * x) / x)) = (y * x) * x. [para(20(a,1),4701(a,1,1,2))]. 4703 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [para(3371(a,1),4700(a,1,1,1))]. 4704 (x * y) * ((y * x) / y) = (y * x) * x. [para(20(a,1),4702(a,1,2,2))]. 4705 x * (((y \ x) * y) / (y \ x)) = ((y \ x) * y) * y. [hyper(519,a,4704,a)]. 4706 ((x \ y) * x) * x = y * (y / (y / x)). [para(4524(a,1),4705(a,1,2)),flip(a)]. 4707 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(4458(a,1),4706(a,1,1,1))]. 4709 T(x,y) \ T(x * y,y) = R(y,x,y). [para(4589(a,1),4528(a,1,1))]. 4710 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(37(a,1),4709(a,1,1))]. 4711 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(255,a,4622,a(flip),b,4674,a)]. 4712 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4711(a,1),4625(a,1,2))]. 4714 R(x,y / x,x) = R(x,x \ y,x). [hyper(23,a,4675,a,b,4676,a),flip(a)]. 4715 R(x,x \ (y \ x),x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [hyper(255,a,4189,a(flip),b,4714,a(flip))]. 4716 R(x,(x * y) / x,x) = R(x,y,x). [para(18(a,1),4714(a,2,2))]. 4717 R(x,T(y,x),x) = R(x,y,x). [para(167(a,1),4716(a,1,2)),flip(a)]. 4718 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(255,a,4623,a,b,4717,a(flip)),flip(a)]. 4719 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4718(a,1),51(a,1,1)),flip(a)]. 4720 (x \ T(y,x \ 1)) * y = (x \ y) * T(y,x \ 1). [para(4409(a,1),4587(a,1,2)),flip(a)]. 4721 L(x,K(y,z),L(y,u,w)) = x. [hyper(422,a,4612,a)]. 4722 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3324(a,1),4612(a,1,1))]. 4723 L(x,K(y,z),y) = x. [para(319(a,1),4721(a,1,3))]. 4729 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(255,a,1574,a(flip),b,4643,a(flip))]. 4730 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4719(a,1),4486(a,1,1)),flip(a)]. 4731 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(255,a,627,a(flip),b,4541,a)]. 4732 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(4540(a,2),4731(a,1,2))]. 4733 ((x \ y) * x) * T((x \ y) \ y,z) = (T(x,z) * (x \ y)) * x. [para(4654(a,1),573(a,1,2))]. 4734 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(20(a,1),4665(a,1,1,2,2))]. 4735 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(255,a,3170,a(flip),b,4734,a(flip))]. 4736 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4735(a,1),4093(a,1,1))]. 4737 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(4113,a,4736,a)]. 4739 T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). [para(167(a,1),4737(a,1,3)),flip(a)]. 4740 L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). [hyper(537,a,4739,a)]. 4741 L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). [hyper(255,a,3212,a(flip),b,4740,a(flip)),flip(a)]. 4742 R(x,x \ (y \ x),x) = ((y \ x) * T(x,y \ 1)) / (y \ x). [para(4720(a,1),4715(a,2,1))]. 4743 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(4341(a,1),4363(a,2,2))]. 4744 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(3072(a,1),4364(a,1,2))]. 4745 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(255,a,3552,a(flip),b,4744,a(flip))]. 4746 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(4516(a,2),4470(a,1))]. 4747 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(255,a,4342,a(flip),b,4533,a)]. 4748 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [para(4695(a,1),4707(a,1,1))]. 4749 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [hyper(4571,a,4748,a),flip(a)]. 4750 x / (x / T(y,x)) = T(x / (x / y),x). [hyper(22,a,4596,a,b,4749,a)]. 4751 T(x / (x / y),x) \ x = x / T(y,x). [para(4750(a,1),73(a,1,1))]. 4752 x / T(y \ x,x) = T(x / y,x) \ x. [para(70(a,1),4751(a,1,1,1,2)),flip(a)]. 4753 ((x \ y) * x) * T(T(x,x \ y),z) = (T(x,z) * (x \ y)) * x. [para(128(a,2),4733(a,1,2,1))]. 4754 (x * y) * T(T(y,y \ (y * x)),z) = (T(y,z) * (y \ (y * x))) * y. [para(18(a,1),4753(a,1,1,1))]. 4755 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4735(a,1),4393(a,1,1))]. 4756 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(4394,a,4755,a),flip(a)]. 4758 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(4368,a,4755,a),flip(a)]. 4759 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [hyper(255,a,4444,a,b,4755,a)]. 4761 x \ (y * (T(y,z) \ x)) = T(T(y,z) \ y,x). [hyper(172,a,4756,a,b,19,a),flip(a)]. 4762 T(x,y) * (x \ z) = y * (T(y,x) \ z). [hyper(255,a,4444,a,b,4756,a(flip)),flip(a)]. 4763 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(255,a,4729,a(flip),b,4756,a(flip))]. 4764 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(255,a,4581,a(flip),b,4756,a(flip)),flip(a)]. 4768 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(80,a,19,a(flip),b,4758,a)]. 4769 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(255,a,4444,a,b,4758,a(flip)),flip(a)]. 4770 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(80,a,4758,a(flip),b,4389,a),flip(a)]. 4771 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4758(a,1),4443(a,1,2)),flip(a)]. 4772 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(80,a,4736,a(flip),b,4759,a(flip)),flip(a)]. 4773 K(x \ (x / (y \ (z \ y))),x) = y \ (x * (T(x,z) \ y)). [para(4762(a,1),1561(a,2,2))]. 4774 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(255,a,112,a,b,4771,a)]. 4775 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(4764(a,1),958(a,1))]. 4776 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(4126,a,4770,a),flip(a)]. 4777 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(255,a,1081,a(flip),b,4772,a)]. 4778 ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). [hyper(255,a,1603,a(flip),b,4777,a(flip)),flip(a)]. 4779 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(367,a,4774,a),flip(a)]. 4780 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(22,a,4485,a,b,4774,a(flip)),flip(a)]. 4781 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(129(a,1),4780(a,1,2))]. 4782 L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). [para(4463(a,1),4781(a,1,3))]. 4783 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(674,a,4776,a),flip(a)]. 4784 K(x \ (x / (y \ (z \ y))),x) = T(T(x,z) \ x,y). [hyper(255,a,4761,a(flip),b,4773,a)]. 4785 T(x,(y \ (z \ y)) \ 1) \ x = T(T(x,z) \ x,y). [hyper(255,a,4431,a(flip),b,4784,a(flip)),flip(a)]. 4786 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4771(a,1),4482(a,1,1))]. 4787 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(636,a,4786,a),flip(a)]. 4788 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4786(a,1),636(a,1))]. 4789 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(255,a,461,a(flip),b,4730,a)]. 4790 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1318(a,1),4789(a,1,1))]. 4791 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(255,a,4622,a(flip),b,4790,a(flip))]. 4792 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(4791(a,1),222(a,1,2))]. 4793 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4640(a,1),4635(a,1,1))]. 4794 T(x,T(y,T(x,z))) = T(x,y). [hyper(255,a,4491,a(flip),b,4793,a(flip))]. 4797 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(188(a,1),4794(a,1,2,2))]. 4800 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(4797(a,1),4594(a,1,1))]. 4801 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4747(a,1),4653(a,1,2)),flip(a)]. 4802 ((x \ y) * x) / y = y / (x * (y / x)). [para(4649(a,1),4801(a,1,1))]. 4803 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(255,a,4580,a(flip),b,4802,a)]. 4804 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(255,a,4319,a,b,4803,a(flip)),flip(a)]. 4805 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4804(a,1),4293(a,2,2))]. 4806 L(x,T(y,y \ z) \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). [hyper(255,a,3214,a,b,4741,a(flip))]. 4807 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3359(a,1),4745(a,1,1)),flip(a)]. 4808 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4807(a,1),3537(a,1,2))]. 4809 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4808(a,1),260(a,1,1)),flip(a)]. 4810 (T(x,y) * (x \ (x * z))) * x = (z * x) * T(T(x,z),y). [para(18(a,1),4754(a,1,2,1,2)),flip(a)]. 4811 (x * y) * T(T(y,x),z) = (T(y,z) * x) * y. [para(18(a,1),4810(a,1,1,2)),flip(a)]. 4812 (x * y) * T(T(y,z),x) = (T(y,z) * x) * y. [para(43(a,1),4811(a,1,2))]. 4813 L(K(x,y) \ T(T(x,y),z),K(x,y),y * x) = (x * y) \ ((T(x,z) * y) * x). [para(4811(a,1),444(a,2,2))]. 4814 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(868,a,4812,a)]. 4815 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(255,a,4768,a(flip),b,4434,a(flip)),flip(a)]. 4816 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(4792,a,4712,a)]. 4817 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(255,a,4743,a(flip),b,4815,a(flip)),flip(a)]. 4818 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4769(a,1),4817(a,1,2)),flip(a)]. 4819 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(255,a,190,a(flip),b,4818,a)]. 4821 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(255,a,3975,a(flip),b,4819,a(flip))]. 4823 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4821(a,1),3730(a,2,2))]. 4824 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(73(a,1),4732(a,2,1,2))]. 4825 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(1188,a,4627,a),flip(a)]. 4826 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2270(a,1),4825(a,1,1)),flip(a)]. 4827 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(81,a,4826,a(flip),b,1182,a)]. 4829 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(2694(a,1),4827(a,1,1))]. 4832 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(255,a,4809,a(flip),b,4823,a)]. 4833 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(4281,a,4832,a)]. 4835 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(255,a,97,a(flip),b,4833,a)]. 4837 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4835(a,1),3209(a,1,2))]. 4838 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4837(a,1),4295(a,1,2)),flip(a)]. 4840 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(255,a,2913,a(flip),b,4838,a)]. 4844 R(x,K(y \ 1,y),z) = x. [para(19(a,1),4840(a,1,3))]. 4847 R(x,y,K(z \ 1,z)) = x. [hyper(255,a,4046,a(flip),b,4844,a(flip)),flip(a)]. 4848 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4844(a,1),122(a,1,1)),flip(a)]. 4849 R(x,K(y,y \ 1),z) = x. [para(1449(a,1),4844(a,1,2))]. 4854 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [hyper(255,a,4028,a(flip),b,4847,a(flip))]. 4855 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(255,a,3999,a(flip),b,4847,a(flip)),flip(a)]. 4856 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(255,a,3949,a(flip),b,4847,a(flip))]. 4857 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(255,a,3013,a(flip),b,4847,a(flip))]. 4858 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(255,a,2933,a(flip),b,4847,a(flip))]. 4860 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4847(a,1),122(a,1,1)),flip(a)]. 4861 (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). [para(4847(a,1),379(a,1,1)),flip(a)]. 4862 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4847(a,1),451(a,1,1))]. 4864 R(x,y,K(z,z \ 1)) = x. [para(1449(a,1),4847(a,1,3))]. 4866 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4847(a,1),2284(a,1,1))]. 4867 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [para(4849(a,1),122(a,1,1)),flip(a)]. 4874 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(255,a,3932,a(flip),b,4864,a(flip))]. 4875 K(x,x \ 1) / (K(x,x \ 1) * y) = 1 / y. [hyper(255,a,2274,a(flip),b,4864,a(flip)),flip(a)]. 4876 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4864(a,1),122(a,1,1)),flip(a)]. 4877 (x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1). [para(4864(a,1),379(a,1,1)),flip(a)]. 4878 x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1). [para(4864(a,1),451(a,1,1))]. 4879 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4864(a,1),2275(a,1,1))]. 4882 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(2511(a,1),4856(a,1,2))]. 4886 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(3077(a,1),4856(a,1,2))]. 4887 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(3092(a,1),4856(a,1,2))]. 4888 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(3098(a,1),4856(a,1,2)),flip(a)]. 4889 T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). [para(3205(a,1),4856(a,1,2)),flip(a)]. 4891 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4857(a,1),122(a,1,1))]. 4894 T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). [hyper(255,a,3863,a(flip),b,4874,a)]. 4896 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2272(a,1),4874(a,1,2))]. 4897 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(3028(a,1),4874(a,1,2))]. 4899 T(x,y * (z * K(u,u \ 1))) = T(x,y * z). [para(3888(a,1),4874(a,1,2))]. 4901 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4854(a,1),4763(a,1,2,1))]. 4902 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(255,a,629,a(flip),b,4886,a(flip))]. 4903 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(3435(a,2),4886(a,1,2,1))]. 4905 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(3174(a,1),4888(a,2,2))]. 4906 K((x \ 1) * y,x \ y) = 1. [hyper(41,a,4902,a)]. 4907 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(2271,a,4861,a)]. 4910 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. [para(2924(a,1),4875(a,1,2)),flip(a)]. 4911 (x \ K(y,y \ 1)) * y = (x \ 1) * ((y \ 1) \ 1). [para(4877(a,1),2900(a,1,1))]. 4912 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(2910(a,1),4899(a,1,2,2))]. 4913 T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). [para(4910(a,1),3863(a,1,2,1)),flip(a)]. 4915 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(255,a,3958,a(flip),b,4848,a(flip)),flip(a)]. 4930 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2263(a,2),4855(a,1,2))]. 4932 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(2871(a,1),4858(a,2,2))]. 4933 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(2697,a,4860,a)]. 4934 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2271,a,4860,a)]. 4935 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(422,a,4860,a)]. 4938 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4860(a,1),3958(a,1,1))]. 4939 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4860(a,1),3992(a,1,1))]. 4940 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(255,a,1430,a,b,4933,a(flip)),flip(a)]. 4945 L(K(x \ y,y \ x),z,u) = K((y \ x) \ 1,y \ x). [para(2789(a,1),4935(a,1,1))]. 4950 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(255,a,3933,a,b,4862,a(flip)),flip(a)]. 4951 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(691(a,1),4862(a,1,2)),flip(a)]. 4952 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(4016(a,1),4951(a,1,2))]. 4953 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4951(a,1),4856(a,1,2)),flip(a)]. 4954 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(255,a,2263,a,b,4866,a)]. 4955 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [hyper(255,a,3925,a(flip),b,4867,a(flip)),flip(a)]. 4958 K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). [hyper(3889,a,4876,a)]. 4960 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(422,a,4876,a)]. 4964 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(80,a,4958,a(flip),b,1448,a(flip))]. 4966 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(80,a,4964,a(flip),b,1463,a(flip)),flip(a)]. 4967 (K(x \ 1,x) * y) \ z = (y \ z) * K(x,x \ 1). [hyper(255,a,4006,a,b,4878,a(flip)),flip(a)]. 4969 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(255,a,2247,a,b,4879,a)]. 4970 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2938,a,4915,a)]. 4973 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(K(z \ 1,z) * u,y,x). [para(4915(a,2),33(a,2,2,2)),flip(a)]. 4978 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4915(a,1),4866(a,1,2))]. 4979 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u * K(z \ 1,z),y,x). [para(4934(a,2),33(a,2,2,2)),flip(a)]. 4981 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(255,a,2263,a,b,4950,a)]. 4982 T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). [para(4950(a,2),4856(a,1,2))]. 4983 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(2936(a,1),4982(a,1,2,1))]. 4985 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [hyper(255,a,4004,a(flip),b,4954,a(flip))]. 4987 (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(4955(a,2),29(a,2,2,1)),flip(a)]. 4990 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2936(a,1),4955(a,2,2))]. 4991 K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). [para(2937(a,1),4955(a,2,2))]. 4993 x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). [para(4955(a,1),4879(a,1,2))]. 4994 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(4955(a,1),4950(a,1,1))]. 4995 (K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z). [hyper(255,a,2247,a,b,4967,a)]. 4997 x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. [para(4969(a,2),2253(a,1))]. 5000 K(x \ 1,x) * ((y * x) \ z) = (y * ((x \ 1) \ 1)) \ z. [para(2898(a,1),4981(a,1,1)),flip(a)]. 5001 K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. [para(4052(a,1),4981(a,1,1)),flip(a)]. 5002 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [para(3050(a,1),4995(a,1,1)),flip(a)]. 5003 K((x \ y) \ 1,x \ y) != z | K(y \ x,x \ y) = z. [para(4945(a,1),323(a,1)),flip(b)]. 5004 L(K(x \ y,y \ x),z,u) != w | K(x \ y,y \ x) = w. [para(4945(a,2),5003(a,1))]. 5005 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(4775,a,4901,a)]. 5006 T(x * (y / x),z) = x * (T(y,z) / x). [para(5005(a,1),19(a,1,2)),flip(a)]. 5007 T(x * y,z) / y = y \ T(y * x,z). [para(20(a,1),5005(a,1,2,1,2)),flip(a)]. 5008 (x \ T(x * (y / x),z)) * x = T(y,z). [para(5005(a,2),21(a,1,1))]. 5009 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(70(a,1),5005(a,1,2,1,2))]. 5011 T((x \ y) * x,z) / x = x \ T(y,z). [para(69(a,1),5005(a,1,2,1)),flip(a)]. 5012 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [para(5005(a,1),170(a,1,2,2))]. 5016 x * (T(y * x,z) / x) = T(x * y,z). [para(20(a,1),5006(a,1,1,2)),flip(a)]. 5021 T(x * (y / x),K(y,z)) = x * (y / x). [para(3316(a,1),5006(a,2,2,1))]. 5022 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(4463(a,1),5006(a,2,2,1))]. 5024 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(255,a,848,a,b,5007,a),flip(a)]. 5025 (x \ T(x * y,z)) * x = T(y * x,z). [para(5007(a,1),21(a,1,1))]. 5026 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(5007(a,1),129(a,1,1))]. 5027 T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,z). [para(104(a,1),5007(a,2,2,1))]. 5028 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(5007(a,1),4249(a,1,2))]. 5029 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). [hyper(255,a,2945,a,b,5008,a(flip)),flip(a)]. 5030 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(69(a,1),5008(a,1,1,2,1)),flip(a)]. 5037 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(5016(a,1),4567(a,1,2)),flip(a)]. 5039 T(K(x,y),z * (x / z)) = K(x,y). [hyper(40,a,5021,a)]. 5040 T(K(x * y,z),y * x) = K(x * y,z). [para(20(a,1),5039(a,1,2,2))]. 5046 T(x,y) \ T((z \ x) * z,y) = K(z \ T(x,y),z). [hyper(80,a,5030,a,b,263,a)]. 5047 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(5030(a,2),25(a,1))]. 5048 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(5030(a,1),127(a,1,2))]. 5050 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(129(a,1),5030(a,2,1,2))]. 5052 ((x * T((y \ z) * y,x)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(5030(a,2),4329(a,1,1,1,2))]. 5053 K(x * y,z) * (y * x) = (y * x) * K(x * y,z). [para(5040(a,1),127(a,1,2)),flip(a)]. 5055 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(129(a,1),5012(a,1,2,2,1)),flip(a)]. 5057 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(129(a,1),5048(a,1,2,1,2)),flip(a)]. 5059 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(5050(a,1),167(a,1,1,2))]. 5060 (x \ y) \ T((x \ y) * x,x) = (y * x) / y. [hyper(255,a,1116,a(flip),b,5009,a)]. 5061 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(255,a,5006,a,b,5022,a)]. 5062 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1780(a,1),5024(a,2,1,1))]. 5063 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(2938,a,5029,a),flip(a)]. 5064 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [hyper(2931,a,5029,a),flip(a)]. 5067 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(255,a,4330,a(flip),b,5055,a(flip))]. 5068 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(162(a,2),5055(a,2,2,2,1))]. 5069 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(255,a,4065,a,b,5057,a(flip)),flip(a)]. 5070 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(163(a,2),5057(a,1,1,1,2))]. 5071 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(18(a,1),5059(a,1,1,2,1,2))]. 5072 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(5059(a,1),226(a,1,1)),flip(b)]. 5073 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(255,a,4661,a,b,5061,a(flip)),flip(a)]. 5075 T(x * K(y,y \ 1),z) = K(y,y \ 1) * T(x,z). [para(2247(a,1),5063(a,1,1))]. 5078 T(((x \ 1) \ 1) \ y,z) * K(x,x \ 1) = T(x \ y,z). [para(3036(a,1),5064(a,1,1)),flip(a)]. 5079 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(4551,a,5071,a),flip(a)]. 5080 (x \ ((y * (x * z)) / y)) * x = (y * (z * x)) / y. [para(18(a,1),5071(a,1,1,2,1)),flip(a)]. 5081 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * ((z * (((x * z) / x) \ y)) / z). [hyper(255,a,2736,a,b,5080,a)]. 5082 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(3347(a,1),4905(a,1,2))]. 5083 (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). [para(1454(a,1),4932(a,1,1)),flip(a)]. 5085 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4940(a,1),19(a,1,2))]. 5086 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(255,a,1400,a,b,5028,a(flip)),flip(a)]. 5087 T(x,T(((y \ 1) \ 1) \ z,u)) = T(x,T(y \ z,u)). [para(5078(a,1),4874(a,1,2)),flip(a)]. 5088 T(x,T((1 / y) \ z,u)) = T(x,T((y \ 1) \ z,u)). [para(73(a,1),5087(a,1,2,1,1,1)),flip(a)]. 5089 (L(x,y,z) \ 1) * T(x,x \ 1) = L(x,y,z) \ x. [hyper(2880,a,5085,a)]. 5090 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(5085(a,1),2831(a,1,1))]. 5091 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4891(a,1),25(a,1))]. 5094 T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). [para(4054(a,2),4894(a,1,2))]. 5095 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(81,a,4938,a(flip),b,122,a)]. 5096 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(4014,a,4939,a),flip(a)]. 5097 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(23,a,3092,a,b,4952,a)]. 5098 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(255,a,3811,a(flip),b,5097,a)]. 5099 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(33(a,2),4978(a,2,1))]. 5100 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). [hyper(636,a,4993,a),flip(a)]. 5101 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(5072,a,5086,a)]. 5103 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). [para(3937(a,1),5094(a,1,2,1))]. 5104 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(255,a,4979,a(flip),b,5099,a(flip)),flip(a)]. 5105 L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). [hyper(255,a,4973,a(flip),b,5099,a(flip)),flip(a)]. 5108 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [hyper(255,a,2263,a,b,5105,a)]. 5110 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(2913(a,1),5108(a,1,1)),flip(a)]. 5111 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(2938,a,5110,a),flip(a)]. 5112 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(2931,a,5110,a),flip(a)]. 5113 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(255,a,2992,a(flip),b,5110,a(flip)),flip(a)]. 5115 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(20(a,1),5113(a,1,1,2,1,2))]. 5116 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(5113(a,1),69(a,1,2,1)),flip(a)]. 5117 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(69(a,1),5113(a,1,1,2,1)),flip(a)]. 5118 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(5117(a,1),112(a,1,2))]. 5119 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(437(a,1),5117(a,2,1,2))]. 5120 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(439(a,1),5117(a,2,1,2))]. 5122 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(1522(a,1),5111(a,1,1)),flip(a)]. 5123 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [para(5111(a,2),4879(a,1,2))]. 5124 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(255,a,1543,a(flip),b,5122,a(flip)),flip(a)]. 5125 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(128(a,1),5124(a,2,1))]. 5127 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(87,a,5125,a)]. 5129 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(255,a,1279,a,b,5127,a(flip)),flip(a)]. 5131 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2476,a,5129,a)]. 5132 L(x,y,z) / x = x \ L(x,y,z). [hyper(96,a,5131,a)]. 5133 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(87,a,5131,a)]. 5134 (1 / x) * L(x,y,z) = x \ L(x,y,z). [hyper(255,a,1040,a,b,5132,a(flip)),flip(a)]. 5137 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(5133(a,1),398(a,1,2,1)),flip(a)]. 5138 T(1 / x,L(x,y,z)) = x \ 1. [hyper(172,a,5134,a,b,1153,a)]. 5139 K(x,T(y \ 1,L(y,z,u))) = K(x,y \ 1). [para(5138(a,1),3710(a,1,2)),flip(a)]. 5140 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1457(a,1),5112(a,1,1)),flip(a)]. 5141 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(5140(a,1),3973(a,1,1)),flip(a)]. 5142 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(5140(a,1),3980(a,1,1))]. 5143 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [hyper(80,a,5137,a(flip),b,1078,a)]. 5144 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(255,a,1438,a(flip),b,5141,a(flip)),flip(a)]. 5145 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(241(a,1),5118(a,1,2,1,2))]. 5146 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(80,a,5119,a(flip),b,190,a),flip(a)]. 5147 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(255,a,5101,a(flip),b,5146,a(flip)),flip(a)]. 5149 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(5147(a,1),226(a,1,1)),flip(b)]. 5151 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(255,a,4805,a(flip),b,5120,a(flip))]. 5152 x * (y \ (x / (x / y))) = (y \ (1 \ x)) * y. [para(17(a,1),5151(a,1,1,2,2)),flip(a)]. 5153 x * (y \ (x / (x / y))) = (y \ x) * y. [para(59(a,1),5152(a,2,1,2))]. 5154 x \ (y / (y / x)) = K(x \ y,x). [hyper(22,a,263,a,b,5153,a)]. 5155 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(255,a,4804,a,b,5154,a(flip)),flip(a)]. 5156 x / (y * (x / y)) = K(y \ x,y). [hyper(255,a,4580,a,b,5154,a(flip)),flip(a)]. 5158 x / (x / y) = y * K(y \ x,y). [para(5154(a,1),19(a,1,2)),flip(a)]. 5161 T(K(x \ y,x),y) = K(x \ y,x). [para(5154(a,1),4386(a,1,1))]. 5162 K(x \ y,x) * (x * (y / x)) = y. [para(5156(a,1),21(a,1,1))]. 5164 x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). [hyper(255,a,3174,a(flip),b,5158,a),flip(a)]. 5165 (x * y) / ((x * y) / x) = x * K(y,x). [para(18(a,1),5158(a,2,2,1))]. 5169 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(5158(a,1),4593(a,1,1))]. 5170 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(4630(a,1),5158(a,2,2))]. 5171 T(x,K(y \ x,y)) = x. [hyper(40,a,5161,a)]. 5172 T(x * y,K(y,x)) = x * y. [para(18(a,1),5171(a,1,2,1))]. 5173 K(x,y) \ (x * y) = y * x. [hyper(255,a,270,a,b,5172,a(flip)),flip(a)]. 5174 K(x,y) = (x * y) / (y * x). [para(5172(a,1),271(a,1,2)),flip(a)]. 5175 K(x,y) * (y * x) = x * y. [para(5173(a,1),19(a,1,2))]. 5176 x * (y * z) != z * y | K(z,y) = x. [para(5173(a,1),94(a,1,2)),flip(b)]. 5177 K(x,y) = T(y,x) \ y. [hyper(255,a,4379,a(flip),b,5174,a)]. 5178 K(x \ y,x) * y = (x \ y) * x. [para(5174(a,2),260(a,1,1))]. 5179 K(x \ (x / y),x) = K(y \ 1,x). [hyper(255,a,4431,a,b,5177,a),flip(a)]. 5180 K(x,y) = ((y * x) / y) \ x. [hyper(255,a,4085,a,b,5177,a)]. 5181 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(255,a,3290,a,b,5177,a),flip(a)]. 5182 K(x,y) = y / T(y,x). [hyper(255,a,3128,a,b,5177,a)]. 5183 K(x,y) = (1 / T(y,x)) * y. [hyper(255,a,3127,a,b,5177,a)]. 5184 K(x,y) = y * (T(y,x) \ 1). [hyper(255,a,1083,a,b,5177,a)]. 5185 T(T(x,y) \ x,z) = K((z \ (y \ z)) \ 1,x). [hyper(255,a,4785,a(flip),b,5177,a),flip(a)]. 5186 K(x,y) = x \ T(x,y). [hyper(255,a,4439,a(flip),b,5177,a)]. 5187 x * T(x \ 1,y) = K(x \ 1,y). [hyper(255,a,4430,a(flip),b,5177,a),flip(a)]. 5188 K(T(x,y),y) = x \ T(x,y). [hyper(255,a,4087,a(flip),b,5177,a)]. 5189 x \ (T(1 / x,y) \ 1) = K(y,x \ 1). [hyper(255,a,3390,a(flip),b,5177,a),flip(a)]. 5190 K(x,y) / y = 1 / T(y,x). [hyper(81,a,5177,a,b,3127,a)]. 5191 K(x,y) / ((y \ 1) \ 1) = T(y,x) \ 1. [hyper(81,a,5177,a,b,2297,a)]. 5192 T(x,y) \ 1 = x \ K(y,x). [hyper(80,a,5177,a,b,1083,a),flip(a)]. 5194 T(x,y) * K(y,x) = x. [para(5177(a,2),19(a,1,2))]. 5195 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(45(a,2),5177(a,2,1)),flip(a)]. 5196 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(47(a,2),5177(a,2,1)),flip(a)]. 5197 T(x,y) = x / K(y,x). [para(5177(a,2),70(a,1,2)),flip(a)]. 5199 x * K(y,z) != z | T(z,y) = x. [para(5177(a,2),94(a,1,2)),flip(b)]. 5201 x / K(y,x) != z | T(x,y) = z. [para(5177(a,2),303(a,1,2)),flip(b)]. 5202 L(K(x,y),T(y,x),z) = (z * T(y,x)) \ (z * y). [para(5177(a,2),114(a,1,1))]. 5203 ((x \ y) \ y) * K(x \ y,x) = x. [para(5177(a,2),312(a,1,2))]. 5204 T(x,y) = (x * K(y,x)) \ (x * x). [para(5177(a,2),1587(a,1,1,2)),flip(a)]. 5205 K((1 / x) \ y,y) = T(y,y * x) \ y. [para(1991(a,1),5177(a,2,1))]. 5206 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(5177(a,2),2704(a,1,2))]. 5207 K(x,y) * T(y,x) = y. [para(5177(a,2),3133(a,1,1))]. 5208 T(x,y) = K(y,x) \ x. [para(5177(a,2),3134(a,1,1)),flip(a)]. 5209 K(x,y) * (y \ 1) = T(y,x) \ 1. [para(5177(a,2),3394(a,1,1))]. 5210 K(x \ K(x,y),x) = K(x \ 1,x). [para(5177(a,2),3669(a,1,1,2))]. 5211 K(x,y) * ((y * x) / y) = x. [para(5177(a,2),4086(a,1,1))]. 5212 x * K(T(x,y),y) = T(x,y). [para(5177(a,2),4088(a,1,2))]. 5213 ((x * y) / x) \ x = y \ (x * K(y,x)). [para(5177(a,2),4239(a,1,2,2)),flip(a)]. 5214 x * (((y * x) / y) \ z) = K(x,y) * z. [para(5177(a,2),4389(a,2,1))]. 5215 K(x,y) = T(y,T(x,y)) \ y. [para(4446(a,2),5177(a,2,1))]. 5216 T(x * K(y,x),y) = x. [para(5177(a,2),4473(a,1,1,2))]. 5217 (x * y) / x = y * K(x,y). [para(5177(a,2),4442(a,2,2))]. 5219 K(x * (1 / y),x) = T(x,y \ x) \ x. [para(4566(a,1),5177(a,2,1))]. 5220 x * (K(x,y) * z) = T(x,y) * z. [para(5177(a,2),4443(a,1,2,1))]. 5221 T(x,y) * (x \ z) = K(x,y) * z. [para(5177(a,2),4444(a,2,1))]. 5222 K(x / y,z) * x = y * T(y \ x,z). [para(5177(a,2),4581(a,1,1))]. 5223 K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z). [para(5177(a,2),4436(a,1,1)),flip(a)]. 5224 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(5177(a,2),4437(a,1,2)),flip(a)]. 5225 x * (T(x,y) \ z) = K(y,x) * z. [para(5177(a,2),4756(a,1,1)),flip(a)]. 5226 K(x,y) * (T(y,x) * z) = y * z. [para(5177(a,2),4758(a,1,1))]. 5227 K(x,y) \ y != z | T(y,x) = z. [para(5182(a,2),219(a,1,1)),flip(b)]. 5230 (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). [para(5182(a,2),2316(a,1,2))]. 5231 L(T(x,y),T(z,x),z / T(z,x)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(5182(a,2),4652(a,2,1))]. 5232 K(x * K(y,y \ 1),z) = z / T(z,x). [para(4874(a,1),5182(a,2,2))]. 5233 (x * T(x \ y,z)) / y = K(y / x,z). [hyper(255,a,4375,a,b,5186,a),flip(a)]. 5234 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(255,a,4251,a,b,5186,a),flip(a)]. 5236 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(255,a,4083,a,b,5186,a)]. 5237 K(x,y) = ((x * y) / x) / y. [hyper(255,a,4079,a,b,5186,a)]. 5238 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(255,a,4078,a,b,5186,a),flip(a)]. 5239 K(x,y) = y \ ((x * y) / x). [hyper(255,a,4074,a,b,5186,a)]. 5240 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(255,a,3239,a,b,5186,a)]. 5241 K(x,y) = (1 / x) * T(x,y). [hyper(255,a,3238,a,b,5186,a)]. 5242 K(x,y) = T(x,y) / x. [hyper(255,a,3234,a,b,5186,a)]. 5243 K(x,y) = T(x,y) * (x \ 1). [hyper(255,a,927,a,b,5186,a)]. 5244 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [hyper(255,a,4236,a(flip),b,5186,a),flip(a)]. 5248 x \ K(y,x \ 1) = (y * (x \ 1)) / y. [hyper(80,a,5186,a,b,4078,a)]. 5249 T(x,y) \ K(x,y) = x \ 1. [hyper(80,a,5186,a,b,927,a)]. 5250 x \ T(x,y \ 1) = K(x,1 / y). [hyper(255,a,3707,a,b,5186,a(flip))]. 5252 T(x,y) = x * K(x,y). [para(5186(a,2),19(a,1,2)),flip(a)]. 5253 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(45(a,2),5186(a,2,2)),flip(a)]. 5254 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(47(a,2),5186(a,2,2)),flip(a)]. 5255 x * K(x,y) != z | T(x,y) = z. [para(5186(a,2),220(a,1,2)),flip(b)]. 5256 (x * y) \ (x * T(y,z)) = L(K(y,z),y,x). [para(5186(a,2),114(a,1,1)),flip(a)]. 5260 L(K(x,y),x,z / x) = z \ ((z / x) * T(x,y)). [para(5186(a,2),440(a,1,1))]. 5261 (x * y) * T(K(y,x),z) = x * (y * T(K(y,x),z)). [para(5186(a,2),833(a,1,2,2,1)),flip(a)]. 5262 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1990(a,1),5186(a,2,2))]. 5263 T(x,y) = K(x,y) * x. [para(5186(a,2),3236(a,1,1)),flip(a)]. 5264 K(x,y) * x != z | T(x,y) = z. [para(5186(a,2),3241(a,1,1))]. 5265 (x * K(y,x)) * y = y * x. [para(5186(a,2),4069(a,1,1,2))]. 5266 T(x,y) * K(y,T(x,y)) = x. [para(5186(a,2),4072(a,1,2))]. 5267 (x * y) / x = K(x,y) * y. [para(5186(a,2),4080(a,1,1)),flip(a)]. 5268 (x \ y) * K(x,x \ y) = y / x. [para(5186(a,2),4071(a,1,2))]. 5269 x \ T(x,y \ x) = K(x,x / y). [para(4132(a,1),5186(a,2,2)),flip(a)]. 5271 K(x,x \ y) * y = x * (y / x). [para(5186(a,2),4342(a,1,1))]. 5272 K(x,y) * (x * z) = T(x,y) * z. [para(5186(a,2),4343(a,1,1))]. 5273 x * (T(x,y) \ z) = K(x,y) \ z. [para(5186(a,2),4351(a,1,1)),flip(a)]. 5274 K(x,y) \ (T(x,y) * z) = x * z. [para(5186(a,2),4367(a,1,1))]. 5275 K(x,y) \ z != u | x * (T(x,y) \ z) = u. [para(5186(a,2),4394(a,1,1))]. 5277 (x / (x / y)) \ L(y,y \ x,y) = K(x / (x / y),x). [para(4593(a,1),5186(a,2,2)),flip(a)]. 5278 x \ T(x,y / (z * y)) = K(x,z \ 1). [para(4660(a,2),5186(a,2,2)),flip(a)]. 5279 K(x,y * K(z,z \ 1)) = x \ T(x,y). [para(4874(a,1),5186(a,2,2))]. 5281 T(x,y) \ x != z | K(y,x) = z. [para(5194(a,1),222(a,1,2)),flip(b)]. 5284 x * (y * K(x,y)) = T(x,y) * y. [para(5194(a,1),4771(a,1,2)),flip(a)]. 5286 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(3708(a,1),5197(a,2,2)),flip(a)]. 5288 K(x,y / x) * (x \ y) = y / x. [para(129(a,1),5207(a,1,2))]. 5290 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(255,a,4579,a,b,5208,a),flip(a)]. 5291 T(x,y) = 1 / (x \ K(y,x)). [hyper(255,a,3729,a,b,5208,a)]. 5292 T(x,y) = (K(y,x) / x) \ 1. [hyper(255,a,3700,a,b,5208,a)]. 5294 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(5208(a,2),2699(a,1,2,1))]. 5295 T(T(x * K(y,x),z),y) = T(x,z). [para(5216(a,1),43(a,1,1)),flip(a)]. 5296 (x * K(y,x)) \ (y * x) = y. [para(5216(a,1),168(a,1,2,2))]. 5298 T(x * K(y,x),z) * y = y * T(x,z). [para(5216(a,1),182(a,1,2,1)),flip(a)]. 5299 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(5216(a,1),205(a,1,1,2,1)),flip(a)]. 5300 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(5216(a,1),183(a,1,2,1)),flip(a)]. 5301 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(5216(a,1),184(a,1,2,1)),flip(a)]. 5302 T((x * (y * K(z,y))) / x,z) = (x * y) / x. [para(5216(a,1),404(a,1,1,2)),flip(a)]. 5304 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(5216(a,1),2210(a,1,2,1)),flip(a)]. 5305 T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). [para(5216(a,1),2230(a,1,2,2)),flip(a)]. 5307 T(x \ K(y,x \ 1),y) = x \ 1. [para(3174(a,1),5216(a,1,1))]. 5308 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(5216(a,1),3376(a,1,2)),flip(a)]. 5309 T(K(x,y \ 1) / y,x) = 1 / y. [para(3718(a,1),5216(a,1,1))]. 5311 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(5216(a,1),4462(a,1,2,1)),flip(a)]. 5312 T(1 / x,y) * x = K(x \ 1,y). [hyper(255,a,665,a(flip),b,5242,a),flip(a)]. 5316 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(5242(a,2),874(a,1))]. 5318 T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). [hyper(81,a,5252,a,b,100,a)]. 5320 T(x,T(y,T(x,z))) = x * K(x,y). [hyper(255,a,4794,a,b,5252,a(flip)),flip(a)]. 5323 T(x,y) != x * z | K(x,y) = z. [para(5252(a,2),24(a,1))]. 5325 x \ T(x,y) != z | K(x,y) = z. [para(5252(a,2),222(a,1,2)),flip(b)]. 5328 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(5252(a,2),123(a,2,1))]. 5331 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(5252(a,2),454(a,2,2))]. 5333 (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). [para(5252(a,2),1929(a,1,1)),flip(a)]. 5334 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(3309(a,1),5252(a,2,2)),flip(a)]. 5335 (K(x,y) / R(x,z,u)) * x = T(x,y) / R(x,z,u). [hyper(81,a,5263,a,b,1953,a),flip(a)]. 5336 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(255,a,45,a,b,5263,a(flip))]. 5337 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(255,a,43,a,b,5263,a(flip))]. 5340 x * (K(y,x) * y) = y * x. [para(5263(a,1),127(a,1,2))]. 5345 L(x \ y,x,K(y,z)) = (K(y,z) * x) \ T(y,z). [para(5263(a,2),114(a,2,2))]. 5349 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(5263(a,2),431(a,1,2,2))]. 5350 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(5263(a,2),635(a,1,1))]. 5351 ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). [para(5263(a,2),877(a,1,2,1))]. 5353 T(x,y) != z | x * K(x,y) = z. [para(5263(a,2),3322(a,1))]. 5354 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(112(a,1),5175(a,1,2))]. 5355 (x * y) \ (K(x,y) * ((y * x) * z)) != u | L(z,y * x,K(x,y)) = u. [para(5175(a,1),431(a,1,1))]. 5356 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5175(a,1),424(a,1,1))]. 5357 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(5175(a,1),5027(a,1,1,1))]. 5359 K(x,y) = x * (((y * x) / y) \ 1). [hyper(255,a,1146,a,b,5180,a)]. 5360 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(80,a,5180,a,b,1146,a),flip(a)]. 5362 K(x,y) / x = 1 / ((y * x) / y). [para(5180(a,2),3279(a,1,1))]. 5363 K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). [hyper(81,a,2500,a(flip),b,5183,a(flip))]. 5365 K(x \ R(x,y,z),x) = (1 / x) * x. [para(4039(a,1),5183(a,2,1,2))]. 5366 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(5184(a,2),33(a,2,2,2)),flip(a)]. 5367 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(5184(a,2),113(a,1,2,2)),flip(a)]. 5368 K(T(x,y),y) = K(x,y). [hyper(255,a,5186,a,b,5188,a)]. 5373 K(x,T(y,x)) = K(x,y). [hyper(255,a,4195,a(flip),b,5368,a(flip))]. 5374 K(x,y / x) = K(x,x \ y). [hyper(255,a,4194,a(flip),b,5368,a(flip)),flip(a)]. 5375 K(x \ (y * x),x) = K(y,x). [para(37(a,1),5368(a,1,1))]. 5376 K(x / y,y) = K(y \ x,y). [para(129(a,1),5368(a,1,1)),flip(a)]. 5377 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(128(a,1),5368(a,1,1))]. 5378 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(716(a,1),5368(a,1,1)),flip(a)]. 5379 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(707(a,1),5368(a,1,1)),flip(a)]. 5380 K(x / (x / y),y \ x) = K(y,y \ x). [para(4506(a,1),5368(a,1,1)),flip(a)]. 5381 K(x,y) \ 1 = K(y,x). [para(5368(a,1),4607(a,1,1))]. 5382 K(x,y) * K(y,x) = 1. [para(5368(a,1),4609(a,1,1))]. 5383 K(x,y) * z != 1 | K(y,x) = z. [para(5368(a,1),4614(a,1,1))]. 5384 K(x,y) \ 1 != z | K(y,x) = z. [para(5368(a,1),4615(a,1,1))]. 5385 K(x * K(y,x),y) = K(x,y). [para(5216(a,1),5368(a,1,1)),flip(a)]. 5387 K(x,x \ (y * x)) = K(x,y). [para(37(a,1),5373(a,1,2))]. 5388 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(45(a,2),5373(a,1,2))]. 5389 K(x \ y,(x \ y) \ y) = K(x \ y,x). [para(128(a,1),5373(a,1,2))]. 5390 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(187(a,1),5373(a,1,2)),flip(a)]. 5392 K(x,y * K(x,y)) = K(x,y). [para(5216(a,1),5373(a,1,2)),flip(a)]. 5394 1 / K(x,y) = K(y,x). [para(5381(a,1),70(a,1,2))]. 5395 1 / K(x,y) != z | K(y,x) = z. [para(5381(a,1),303(a,1,2)),flip(b)]. 5396 L(x \ K(y,z),x,K(z,y)) = (K(z,y) * x) \ 1. [para(5381(a,1),241(a,1,1,2))]. 5397 T((x * K(y,z)) \ x,u) = L(T(K(z,y),u),K(y,z),x). [para(5381(a,1),344(a,2,1,1))]. 5398 L(L(K(x,y),z,u),K(y,x),w) = L((w * K(y,x)) \ w,z,u). [para(5381(a,1),346(a,1,1,1))]. 5399 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(5381(a,1),2018(a,2,2,1))]. 5400 T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(5381(a,1),2168(a,2,1,2,1))]. 5402 (x * K(y,x)) \ 1 = x \ K(x,y). [para(5381(a,1),3675(a,2,2))]. 5403 K(x,T(y,x)) != z | K(x,y) = z. [para(5381(a,1),4615(a,1))]. 5404 T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. [para(5394(a,1),3869(a,1,2,2))]. 5406 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(5192(a,1),303(a,1,2)),flip(b)]. 5407 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(5192(a,1),2185(a,1,2,1))]. 5408 K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. [para(5192(a,2),3529(a,2,1))]. 5409 K(x \ y,x) * (y / x) = x \ y. [para(19(a,1),5211(a,1,2,1))]. 5411 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(100(a,1),5211(a,1,2,1))]. 5413 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [para(5215(a,2),4358(a,1,1))]. 5414 (T(x,y) * y) / T(x,y) = y * K(x,y). [para(5215(a,2),4442(a,2,2))]. 5415 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(4746,a,5217,a),flip(a)]. 5416 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(4257,a,5217,a)]. 5418 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(255,a,3712,a(flip),b,5217,a),flip(a)]. 5419 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [hyper(80,a,5217,a,b,1611,a)]. 5420 T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). [hyper(80,a,5217,a,b,1079,a)]. 5421 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(26,a,5217,a)]. 5422 T(x * y,y) / T(x,y) = y * K(x * y,y). [hyper(255,a,1122,a,b,5217,a(flip)),flip(a)]. 5424 x \ T(x * y,y) = y * K(x * y,y). [hyper(255,a,4148,a(flip),b,5217,a(flip)),flip(a)]. 5426 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(122(a,1),5217(a,1,1))]. 5427 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(5217(a,1),123(a,1,1))]. 5428 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(5217(a,2),452(a,1,2))]. 5430 T(x * K(y * x,x),y) = R(x,y,x). [para(5217(a,1),703(a,2,1)),flip(a)]. 5431 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(5217(a,1),767(a,1,1))]. 5432 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(5217(a,1),775(a,1,1))]. 5433 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(5217(a,2),103(a,1,2))]. 5434 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(5217(a,1),871(a,1,1,1))]. 5435 (x * K(x * y,x)) * y = T(x * y,x). [para(5217(a,1),980(a,1,1))]. 5436 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(5217(a,1),769(a,1,1))]. 5437 L(x * K(y,x),x \ 1,x) = (y * (1 / (1 / x))) / y. [para(5217(a,1),1498(a,1,1))]. 5438 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(5217(a,1),1627(a,2,1,2))]. 5439 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1835(a,1),5217(a,1,1))]. 5440 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(5217(a,1),1847(a,2,1)),flip(a)]. 5441 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1951(a,1),5217(a,1,1))]. 5442 K(x,y) = (1 / y) * ((x * y) / x). [para(5217(a,2),3171(a,1,2)),flip(a)]. 5444 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(5217(a,1),5079(a,1,1,2))]. 5445 K(x,y) / (1 / y) = (x * (1 / (1 / y))) / x. [hyper(81,a,5237,a,b,1619,a)]. 5446 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [para(915(a,1),5237(a,2,1)),flip(a)]. 5447 (x \ y) \ (y / x) = K(x,x \ y). [para(19(a,1),5239(a,2,2,1)),flip(a)]. 5448 x * K(y,x) != z | (y * x) / y = z. [para(5239(a,2),220(a,1,2)),flip(b)]. 5451 K(x,y) * K(x \ 1,x) = (x \ 1) * T(x,y). [para(5241(a,2),3098(a,1,1))]. 5453 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(5243(a,2),431(a,1,2,2))]. 5454 T(x,y * x) * (x \ 1) = K(x,x * y). [para(4563(a,2),5243(a,2,1)),flip(a)]. 5455 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5381(a,1),5243(a,2,2)),flip(a)]. 5456 T(x,y) * (x \ 1) != z | K(x,y) = z. [para(5249(a,1),220(a,1,2)),flip(b)]. 5457 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(23,a,1957,a,b,5265,a)]. 5458 (x * y) / x != z | y * K(x,y) = z. [para(5265(a,1),304(a,1,1)),flip(b)]. 5460 x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). [para(5265(a,1),5083(a,1,2)),flip(a)]. 5463 L(((x * y) \ x) \ 1,(x * y) \ x,y * x) = y. [hyper(1612,a,5296,a)]. 5470 x \ (y * (x / y)) = K(y,y \ x). [hyper(255,a,107,a,b,5374,a(flip)),flip(a)]. 5471 K(x,x \ (y \ x)) = K(x,y \ 1). [hyper(255,a,4680,a(flip),b,5374,a(flip))]. 5472 x * K(y,y \ x) = y * (x / y). [para(5374(a,1),264(a,1,2))]. 5473 K(x,x \ y) \ 1 = K(y / x,x). [para(5374(a,1),5381(a,1,1))]. 5475 (x * (y / x)) \ y = K(x \ y,x). [hyper(255,a,108,a,b,5376,a(flip)),flip(a)]. 5484 (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. [para(3309(a,1),5255(a,1,2))]. 5485 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(45(a,2),5281(a,1,1))]. 5486 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(47(a,2),5281(a,1,1))]. 5488 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(4430(a,1),5281(a,1))]. 5489 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(4431(a,2),5281(a,1))]. 5490 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(45(a,2),5325(a,1,2))]. 5491 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(542(a,2),5325(a,1,2))]. 5493 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(4375(a,2),5325(a,1))]. 5502 K(x,x \ (y * x)) != z | K(x,y) = z. [para(37(a,1),5403(a,1,2))]. 5504 K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w. [para(47(a,2),5403(a,1,2))]. 5505 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(1061(a,1),5403(a,1,2))]. 5507 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(5368(a,2),5403(a,1))]. 5509 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(5178(a,1),2046(a,2,2))]. 5510 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2669,a,5179,a)]. 5512 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(255,a,1582,a(flip),b,5179,a(flip)),flip(a)]. 5513 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(255,a,1559,a(flip),b,5179,a(flip)),flip(a)]. 5514 K((x * y) \ x,x * y) = K(y \ 1,x * y). [para(20(a,1),5179(a,1,1,2))]. 5515 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(5179(a,1),1557(a,2,2))]. 5516 (x * y) * K(((x * y) \ x) \ 1,z) = x * T(y,z). [para(5179(a,1),1562(a,1,2))]. 5517 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(5179(a,1),1581(a,1,1))]. 5518 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [para(5179(a,1),1560(a,1,2))]. 5519 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(849,a,5187,a)]. 5525 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(5187(a,1),1218(a,1,1))]. 5526 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(5187(a,1),1411(a,2,1))]. 5528 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(5187(a,1),1895(a,2,2))]. 5529 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(5187(a,1),2453(a,2,1,2))]. 5530 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * K(y \ 1,z)) * z. [para(5187(a,1),2454(a,2,1,2))]. 5532 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u. [para(5206(a,1),431(a,1,2,2))]. 5533 K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. [para(5210(a,1),263(a,1,2))]. 5534 x \ (T(x,y) * z) = K(x,y) * z. [hyper(87,a,5220,a)]. 5535 K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)). [hyper(80,a,127,a(flip),b,5220,a),flip(a)]. 5536 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(80,a,19,a(flip),b,5220,a),flip(a)]. 5537 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(22,a,4582,a,b,5220,a),flip(a)]. 5538 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(22,a,1086,a,b,5220,a)]. 5539 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(22,a,4669,a(flip),b,5220,a)]. 5540 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(22,a,4667,a(flip),b,5220,a)]. 5541 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(22,a,4622,a(flip),b,5220,a)]. 5543 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(5220(a,1),29(a,2,2,1)),flip(a)]. 5545 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(2075(a,1),5220(a,1,2))]. 5546 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(1107,a,5221,a)]. 5547 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(873,a,5221,a)]. 5548 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(255,a,3325,a,b,5221,a)]. 5550 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(255,a,5220,a,b,5221,a(flip)),flip(a)]. 5551 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(255,a,4644,a,b,5221,a(flip)),flip(a)]. 5552 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [hyper(255,a,5137,a(flip),b,5221,a(flip)),flip(a)]. 5553 (x * y) / (T(x,z) * y) = K(z,x). [hyper(81,a,4769,a(flip),b,5221,a(flip))]. 5554 K(x,y) \ (y * z) = T(y,x) * z. [hyper(80,a,4769,a(flip),b,5221,a(flip))]. 5555 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(80,a,5221,a(flip),b,5220,a)]. 5556 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(80,a,5221,a(flip),b,4762,a(flip))]. 5557 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(33(a,2),5221(a,1,2)),flip(a)]. 5558 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(5186(a,2),5221(a,1,2)),flip(a)]. 5559 T(x,y) \ (x * z) = K(y,x) * z. [hyper(1127,a,5225,a)]. 5560 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(1106,a,5225,a),flip(a)]. 5561 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(255,a,4778,a,b,5225,a(flip)),flip(a)]. 5562 x \ (((y * x) / y) * z) = K(y,x) * z. [hyper(255,a,4777,a,b,5225,a(flip)),flip(a)]. 5563 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(81,a,4901,a(flip),b,5225,a(flip)),flip(a)]. 5564 T(x,y) * (K(y,x) * z) = x * z. [para(5225(a,1),1079(a,1,2))]. 5565 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(5225(a,1),1106(a,1))]. 5567 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(5186(a,2),5225(a,1,2)),flip(a)]. 5571 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))). [para(5226(a,1),424(a,1,1)),flip(a)]. 5572 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(895(a,1),5236(a,2,1)),flip(a)]. 5580 K(x,1 / y) != z | K(x,y \ 1) = z. [para(5250(a,1),5325(a,1))]. 5583 K(x,x / y) = K(x,y \ x). [hyper(5325,a,5269,a),flip(a)]. 5584 K(x,(y \ x) \ x) = K(x,y). [para(70(a,1),5583(a,1,2)),flip(a)]. 5585 K(x,x / (x / y)) = K(x,y). [para(73(a,1),5583(a,2,2))]. 5586 K(x,T(y,y \ x)) = K(x,y). [para(128(a,2),5584(a,1,2))]. 5587 K(x * y,T(x,y)) = K(x * y,x). [para(18(a,1),5586(a,1,2,2))]. 5588 T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). [hyper(81,a,5006,a,b,5271,a)]. 5589 K(x,(x \ 1) * y) * y = x * (y / x). [para(4690(a,2),5271(a,1,1))]. 5590 K(x,y) * ((x \ 1) \ y) = x * (((x \ 1) \ y) / x). [para(4692(a,1),5271(a,1,1))]. 5592 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(47(a,2),5272(a,2,1))]. 5593 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(5272(a,1),310(a,1))]. 5594 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(183(a,1),5272(a,1,2))]. 5595 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(184(a,1),5272(a,1,2))]. 5597 (K(x * y,z) * (x * (y * u))) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5272(a,1),441(a,1,2))]. 5600 K(x,y) \ z = K(y,x) * z. [hyper(255,a,5225,a(flip),b,5273,a(flip))]. 5602 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(3609,a,5600,a)]. 5603 K(x,y) * (y \ K(y,x)) = y \ 1. [hyper(3608,a,5600,a),flip(a)]. 5604 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(646,a,5600,a),flip(a)]. 5605 x / (K(y,z) * x) = K(z,y). [hyper(416,a,5600,a)]. 5606 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(255,a,3148,a,b,5600,a)]. 5607 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(223,a,5600,a),flip(a)]. 5608 K(x,y) * (K(y,x) * z) = z. [hyper(222,a,5600,a)]. 5609 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(80,a,5600,a,b,127,a)]. 5610 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(255,a,3952,a(flip),b,5600,a(flip))]. 5611 x * (K(y,z) * u) != u | K(z,y) = x. [para(5600(a,1),94(a,1,2)),flip(b)]. 5612 K(x,y) * (K(y,x) * z) != u | u = z. [para(5600(a,1),220(a,1,2))]. 5613 x / (K(y,z) * x) != u | K(z,y) = u. [para(5600(a,1),303(a,1,2)),flip(b)]. 5615 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5600(a,1),241(a,1,1,2))]. 5616 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5600(a,1),241(a,1,1))]. 5618 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5600(a,1),524(a,1,2))]. 5619 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5600(a,1),311(a,1,1,3))]. 5620 R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). [para(5600(a,1),4038(a,1,1))]. 5622 K(x,y) * z != u | K(y,x) * u = z. [para(5605(a,1),89(a,1,1)),flip(b)]. 5623 K(x,y) \ z != u | K(y,x) * z = u. [para(5605(a,1),219(a,1,1)),flip(b)]. 5624 K(x,y) != z | K(y,x) \ 1 = z. [para(5605(a,1),217(a,1)),flip(b)]. 5626 K(x,y) * (K(z,y) * K(y,x)) = K(z,y). [hyper(22,a,2075,a,b,5608,a)]. 5628 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(22,a,2075,a(flip),b,5608,a)]. 5629 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). [para(5608(a,1),114(a,2,1))]. 5630 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(5608(a,1),122(a,1,2))]. 5634 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(5274(a,1),220(a,1,2)),flip(b)]. 5636 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(5284(a,1),35(a,2,2)),flip(a)]. 5638 T(x,x \ y) / (y \ x) = x * (y / x). [para(5290(a,1),4181(a,1,1))]. 5639 T(x,x \ y) / ((y \ x) \ x) = x / ((x \ ((y \ x) \ x)) * x). [para(5290(a,1),4598(a,1,1))]. 5640 T(K(x,y) / (1 / y),x) = 1 / (1 / y). [para(73(a,1),5309(a,1,1,1,2))]. 5641 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(81,a,526,a(flip),b,5312,a),flip(a)]. 5642 K(x,T(y,T(x,z))) = K(x,y). [hyper(5323,a,5320,a)]. 5643 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(5320(a,2),5255(a,1))]. 5644 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(5359(a,2),1302(a,2,2))]. 5645 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(5360(a,1),2308(a,1,2))]. 5648 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(729(a,1),5362(a,2,2))]. 5649 1 / (x * K(y,x)) = K(x,y) / x. [para(5217(a,1),5362(a,2,2)),flip(a)]. 5650 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). [para(5402(a,1),3489(a,2,2,2))]. 5657 (x \ y) * K(x,x \ y) != z | y / x = z. [para(5447(a,1),220(a,1,2)),flip(b)]. 5659 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [para(5006(a,2),5470(a,1,2))]. 5660 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(5471(a,1),5271(a,1,1))]. 5661 T(x,K(y,y \ x)) = x. [hyper(172,a,5472,a,b,5271,a)]. 5663 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(5472(a,1),33(a,2,1)),flip(a)]. 5665 K(x / y,y) != z | K(y \ x,y) = z. [para(5473(a,1),5384(a,1))]. 5666 K(x \ (x / y),x) = (T(x,y \ 1) / y) \ (x / y). [para(4174(a,2),5475(a,1,1)),flip(a)]. 5667 T(x / y,z) \ x = K(x / y,z) \ y. [hyper(523,a,5534,a),flip(a)]. 5668 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(5534(a,1),220(a,1,2)),flip(b)]. 5671 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5536(a,1),24(a,1))]. 5673 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(45(a,2),5546(a,1,2,1))]. 5674 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(47(a,2),5553(a,1,2,1))]. 5677 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(45(a,2),5559(a,1,1))]. 5678 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(5559(a,1),220(a,1,2)),flip(b)]. 5680 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(5559(a,1),1103(a,1))]. 5681 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(5194(a,1),5559(a,1,2)),flip(a)]. 5682 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(5252(a,2),5559(a,1,2))]. 5683 K(x,y) * (y * z) = y * (K(x,y) * z). [para(5559(a,1),5225(a,1,2)),flip(a)]. 5687 K(x,y) * (x / y) = x / T(y,x). [hyper(4699,a,5564,a),flip(a)]. 5688 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(1137,a,5564,a)]. 5694 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5603(a,1),304(a,1,1)),flip(b)]. 5695 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5609(a,1),1814(a,1,2,2,1))]. 5696 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5609(a,1),1816(a,1,2,2,1))]. 5697 (x \ K(x,y)) * ((x \ 1) \ 1) = K(x,y). [para(5645(a,1),169(a,1,2))]. 5698 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(5645(a,1),182(a,1,2,1))]. 5699 (K(x,y) / x) \ 1 = x * K(y,x). [para(5649(a,1),73(a,1,1))]. 5702 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5687(a,1),112(a,1,1))]. 5703 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5687(a,1),149(a,1,2,1))]. 5704 K(x \ R(x,y,z),x) = (x \ K(x,x \ 1)) * x. [para(1450(a,2),5365(a,2,1))]. 5707 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(3147,a,5540,a)]. 5708 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(3147,a,5541,a)]. 5709 T(x,x * y) \ T(x,y) = x \ R(x,y,x). [hyper(80,a,5541,a(flip),b,5225,a),flip(a)]. 5713 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(2247(a,1),5612(a,1,2))]. 5716 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. [para(4049(a,2),5612(a,1,2)),flip(b)]. 5717 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(37(a,2),5623(a,1))]. 5718 T(x,T(y,x)) != z | T(x,y) = z. [para(126(a,1),5643(a,1,2,2))]. 5719 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(187(a,1),5643(a,1,2))]. 5724 K(x,x * y) * K(y,x) = x \ L(x,y,x). [hyper(80,a,5707,a(flip),b,5220,a),flip(a)]. 5725 T(x,y \ x) * K(y \ 1,x) = L(x,y \ 1,x). [para(1990(a,1),5707(a,1,1))]. 5726 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(80,a,5708,a(flip),b,5220,a),flip(a)]. 5727 (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). [para(5708(a,1),33(a,2,2,2)),flip(a)]. 5730 R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). [para(5181(a,1),3802(a,2,1,2,1))]. 5731 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(5189(a,1),19(a,1,2)),flip(a)]. 5732 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [para(5191(a,1),2870(a,1,1)),flip(a)]. 5733 K((1 / x) \ y,y) = K(y * x,y). [hyper(255,a,5177,a,b,5205,a)]. 5734 K(x * (y \ 1),x) = K(y \ x,x). [para(70(a,1),5733(a,1,1,1)),flip(a)]. 5735 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(5360(a,1),5734(a,1,1,2)),flip(a)]. 5736 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(5217(a,1),5213(a,1,1))]. 5737 K(x,y) * (((y * x) / y) * z) = x * z. [para(18(a,1),5214(a,1,2)),flip(a)]. 5739 x * ((x * K(y,x)) \ z) = K(x,y) * z. [para(5217(a,1),5214(a,1,2,1))]. 5740 K(x * (1 / y),x) = K(y \ x,x). [hyper(255,a,5177,a,b,5219,a)]. 5742 K((x \ 1) \ y,y) = K(y * x,y). [para(70(a,1),5740(a,1,1,2)),flip(a)]. 5743 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(81,a,831,a(flip),b,5222,a)]. 5744 x / (y * T(y \ x,z)) = K(z,x / y). [para(5222(a,1),5605(a,1,2))]. 5745 K(x,y) / (1 / T(y,x)) = 1 / (1 / y). [para(5230(a,1),70(a,1,2))]. 5746 K(x * K(y,y \ 1),z) = K(x,z). [hyper(255,a,5182,a,b,5232,a)]. 5747 K(x * K(y \ 1,y),z) = K(x,z). [para(1451(a,1),5746(a,1,1,2))]. 5751 K(K(x \ 1,x) * y,z) = K(y,z). [para(2911(a,1),5746(a,1,1)),flip(a)]. 5752 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2910(a,1),5746(a,1,1))]. 5754 K(((x \ 1) \ 1) * y,z) = K(x * y,z). [para(3069(a,1),5746(a,1,1))]. 5755 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(3091(a,1),5746(a,1,1)),flip(a)]. 5756 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(3097(a,1),5746(a,1,1))]. 5758 K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). [para(4878(a,2),5746(a,1,1))]. 5759 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4879(a,2),5746(a,1,1))]. 5762 K(x \ K(y \ 1,y),z) = K(x \ 1,z). [para(4861(a,1),5747(a,1,1))]. 5763 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4951(a,1),5747(a,1,1)),flip(a)]. 5764 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4950(a,2),5747(a,1,1))]. 5768 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(5000(a,1),5751(a,1,1))]. 5769 R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). [hyper(255,a,3792,a(flip),b,5238,a(flip)),flip(a)]. 5770 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(255,a,2583,a(flip),b,5238,a(flip)),flip(a)]. 5772 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). [hyper(255,a,1332,a(flip),b,5238,a(flip)),flip(a)]. 5774 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(5238(a,1),1053(a,2,2))]. 5775 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(5238(a,1),2052(a,1,2))]. 5776 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [para(5238(a,1),2420(a,2,2))]. 5777 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(5240(a,2),1190(a,2,1))]. 5779 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [para(1424(a,1),5248(a,2,1))]. 5780 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(255,a,5186,a,b,5262,a)]. 5782 K(x,y / (z * y)) = K(x,z \ 1). [hyper(5325,a,5278,a)]. 5785 K(x,(y \ z) / z) = K(x,y \ 1). [para(19(a,1),5782(a,1,2,2))]. 5786 K(x,(y / z) \ 1) = K(x,z / y). [para(21(a,1),5782(a,1,2,2)),flip(a)]. 5791 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(452(a,1),5785(a,1,2,1)),flip(a)]. 5794 K(x,y * K(z,z \ 1)) = K(x,y). [hyper(255,a,5186,a,b,5279,a)]. 5796 K(x,y * K(z \ 1,z)) = K(x,y). [para(1451(a,1),5794(a,1,2,2))]. 5797 K(x,K(y,y \ 1) * z) = K(x,z). [para(2247(a,2),5794(a,1,2))]. 5798 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(2895(a,1),5794(a,1,2))]. 5799 K(x,y * T(z,z \ 1)) = K(x,y * z). [para(2896(a,1),5794(a,1,2))]. 5800 K(x,K(y \ 1,y) * z) = K(x,z). [para(2911(a,1),5794(a,1,2)),flip(a)]. 5804 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(2920(a,1),5794(a,1,2)),flip(a)]. 5805 K(x,T(y,y \ 1) * z) = K(x,y * z). [para(3028(a,1),5794(a,1,2))]. 5807 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(3097(a,1),5794(a,1,2))]. 5808 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(3194(a,1),5794(a,1,2))]. 5809 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(4967(a,2),5794(a,1,2))]. 5812 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4950(a,2),5796(a,1,2))]. 5814 K(x,T(y * K(z,z \ 1),u)) = K(x,T(y,u)). [para(5075(a,2),5797(a,1,2))]. 5816 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(4985(a,1),5800(a,1,2))]. 5817 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(5001(a,1),5800(a,1,2))]. 5819 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(23,a,5265,a,b,5298,a),flip(a)]. 5820 T(x * K(x * y,x),y) = R(x,y,x). [hyper(23,a,4475,a,b,5298,a)]. 5821 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(23,a,1957,a,b,5298,a)]. 5823 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(5820(a,1),43(a,1,1)),flip(a)]. 5824 T(x * K(y \ x,x),y \ 1) = R(x,y \ 1,x). [para(5734(a,1),5820(a,1,1,2))]. 5825 T(x * K(y \ x,x),y \ 1) = R(x,x \ (y \ x),x). [hyper(255,a,4742,a,b,5299,a)]. 5826 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(80,a,5299,a,b,5217,a(flip))]. 5827 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(5299(a,2),5180(a,2,1)),flip(a)]. 5828 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(5299(a,2),5458(a,1))]. 5829 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(5337(a,1),5264(a,1))]. 5830 T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. [para(4569(a,1),5829(a,1))]. 5831 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(4602(a,2),5829(a,1))]. 5832 L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. [para(4585(a,2),5829(a,1))]. 5836 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(3053(a,1),5388(a,1,2))]. 5838 x * (y * K(z,y)) != u | u / ((z * y) / z) = x. [para(5421(a,1),96(a,1))]. 5839 x \ (y * T(y \ x,x)) = K((1 / y) * x,x). [hyper(930,a,5424,a)]. 5841 x \ T(x * y,y) = y * K(y * x,y). [hyper(23,a,5025,a,b,5435,a),flip(a)]. 5842 K(x,y * x) = K(x,x * y). [hyper(5456,a,5454,a)]. 5845 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(100(a,1),5842(a,2,2))]. 5846 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(19(a,1),5537(a,1,1,1)),flip(a)]. 5849 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(5217(a,1),5537(a,1,1))]. 5850 x * (K(x,y) * T(z,x)) = K(x,y) * (z * x). [hyper(255,a,5220,a,b,5538,a),flip(a)]. 5853 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(255,a,3323,a(flip),b,5558,a)]. 5854 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5558(a,2),3335(a,1))]. 5855 K(x,y) * (y * z) = ((x * y) / x) * z. [para(18(a,1),5561(a,1,2)),flip(a)]. 5858 ((x * y) / x) * z = y * (K(x,y) * z). [para(5562(a,1),19(a,1,2)),flip(a)]. 5859 x \ ((y / (y / x)) * z) = K(x \ y,x) * z. [para(4524(a,1),5562(a,1,2,1))]. 5860 T(x,x \ (y * x)) / ((y * x) \ x) = x * y. [para(20(a,1),5638(a,2,2))]. 5862 (K(x,y) / (1 / y)) * x = x * (1 / (1 / y)). [para(5640(a,1),127(a,1,2)),flip(a)]. 5865 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(255,a,2075,a,b,5682,a)]. 5868 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5683(a,1),122(a,2,1))]. 5869 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(5683(a,1),310(a,1))]. 5871 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5683(a,1),424(a,1,1))]. 5874 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(925(a,1),5688(a,1,2))]. 5875 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [hyper(605,a,5697,a)]. 5877 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(19(a,1),5737(a,1,2,1,1))]. 5879 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(4040,a,5739,a),flip(a)]. 5881 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(255,a,3911,a,b,5879,a(flip)),flip(a)]. 5882 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). [hyper(80,a,5879,a(flip),b,3911,a)]. 5883 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(1138(a,1),5744(a,1,2))]. 5884 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1743(a,1),5744(a,1,2))]. 5885 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(5190(a,2),5745(a,1,2))]. 5888 K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). [para(5699(a,1),5754(a,1,1,1,1))]. 5889 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(189(a,1),5762(a,1,1,2))]. 5890 K(x,(y \ 1) \ x) = K(x,x * y). [hyper(255,a,5780,a(flip),b,5798,a(flip)),flip(a)]. 5891 K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u). [hyper(255,a,5763,a,b,5799,a)]. 5892 K(x,(1 / x) * y) * y = x * (y / x). [para(5807(a,2),5589(a,1,1))]. 5893 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(3435(a,2),5808(a,1,2,1))]. 5894 K(x * y,y) = K(y * x,y). [hyper(22,a,5424,a(flip),b,5841,a(flip)),flip(a)]. 5895 K((x \ 1) \ y,y) = K(x * y,y). [hyper(255,a,5742,a,b,5894,a),flip(a)]. 5896 K((1 / x) * y,y) = K(x \ y,y). [hyper(255,a,5740,a(flip),b,5894,a)]. 5897 ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). [para(5895(a,1),5252(a,2,2)),flip(a)]. 5898 (x / (K(y,z) * T(y,u))) \ x = K(y,u) * T(y,z). [hyper(255,a,73,a,b,5853,a),flip(a)]. 5899 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5853(a,1),24(a,1))]. 5900 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(19(a,1),5855(a,2,1,1))]. 5901 (x * K(y,x)) * z = K(y,x) * (x * z). [para(5217(a,1),5855(a,2,1)),flip(a)]. 5902 (K(x,y) * y) * z = K(x,y) * (y * z). [para(5267(a,1),5855(a,2,1)),flip(a)]. 5903 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(19(a,1),5858(a,1,1,1)),flip(a)]. 5904 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(5858(a,1),774(a,1,1))]. 5905 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(4524(a,1),5858(a,1,1))]. 5906 (x * K(y,x)) * z = x * (K(y,x) * z). [para(5217(a,1),5858(a,1,1))]. 5908 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(4506(a,1),5865(a,1,2)),flip(a)]. 5909 L(x,y,K(z,y)) = x. [hyper(22,a,3156,a,b,5901,a),flip(a)]. 5910 L(x,T(y,z),K(z,y)) = x. [para(4195(a,1),5909(a,1,3))]. 5911 R(K(x,y),y,z) = K(x,y). [hyper(5091,a,5902,a)]. 5912 R(x,K(y,x),z) = x. [hyper(5091,a,5906,a)]. 5913 L(x,K(y,z),z) = x. [hyper(422,a,5906,a)]. 5914 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(5906(a,1),33(a,2,1)),flip(a)]. 5915 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(5912(a,1),459(a,1,1,1)),flip(a)]. 5916 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(5912(a,1),461(a,1,1,1)),flip(a)]. 5918 (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. [para(5913(a,1),224(a,1,2))]. 5927 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(255,a,4082,a(flip),b,5419,a(flip)),flip(a)]. 5928 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(5927(a,1),1721(a,1,1,2))]. 5929 L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2654(a,1),5488(a,1))]. 5931 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(4192(a,2),5507(a,1))]. 5933 T(x,y) * K(x,z) != u | K(x,y) * T(x,z) = u. [para(5186(a,2),5593(a,1,2))]. 5934 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5556(a,1),5593(a,1,2))]. 5935 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(19(a,1),5634(a,1,2))]. 5936 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(127(a,1),5634(a,1,2))]. 5937 K(x,y) * (((z * x) / z) * u) != w | T(x,y) * (K(z,x) * u) = w. [para(5858(a,2),5634(a,1,2))]. 5939 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(2346(a,1),5678(a,1,2))]. 5940 T(x,y) * z != u | x * (K(x,y) * z) = u. [para(5608(a,1),5678(a,1,2))]. 5942 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(255,a,5682,a(flip),b,5709,a(flip)),flip(a)]. 5944 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(2076,a,5724,a)]. 5945 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(5726(a,1),2076(a,1))]. 5946 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5894(a,2),5726(a,1,2))]. 5956 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(19(a,1),5942(a,1,1,1)),flip(a)]. 5957 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5942(a,1),2081(a,1))]. 5958 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(5894(a,2),5942(a,1,1))]. 5960 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(5170(a,1),4800(a,1,1,1))]. 5961 K((x \ (y \ x)) \ 1,z) = T(K(y,z),x). [para(5177(a,2),5185(a,1,1)),flip(a)]. 5962 T(K(x / y,z),x) = K((x \ y) \ 1,z). [para(73(a,1),5961(a,1,1,1,2)),flip(a)]. 5963 T(K(x / y,z),x) \ 1 = K(z,(x \ y) \ 1). [para(5962(a,2),5381(a,1,1))]. 5965 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(5489,a,5223,a)]. 5966 T(K(x \ 1,y),z) != u | K(T(x,z) \ 1,y) = u. [para(5223(a,1),5489(a,1))]. 5967 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(73(a,1),5965(a,2,1,1))]. 5968 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3312(a,1),5965(a,2,1))]. 5970 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). [para(5968(a,1),5394(a,1,2)),flip(a)]. 5971 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(5186(a,2),5244(a,1,1)),flip(a)]. 5974 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(73(a,1),5971(a,2,1,2))]. 5975 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(5971(a,2),127(a,1,2))]. 5976 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(3702(a,1),5971(a,2,1))]. 5978 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(5971(a,1),5255(a,1,2))]. 5981 K(x,R(T(K(x,y),z),u,w)) = 1. [para(5974(a,1),3339(a,1,2,1))]. 5982 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(5731(a,1),5974(a,1,2))]. 5984 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(23,a,5265,a,b,5300,a),flip(a)]. 5986 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(23,a,5265,a,b,5301,a),flip(a)]. 5987 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(5649(a,1),5305(a,1,1,2))]. 5988 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(5987(a,1),127(a,1,2)),flip(a)]. 5989 K(x,T(y,z)) * K(y \ 1,y) = (T(T(y,z),x) \ 1) * T(y,z). [para(3181(a,1),5408(a,1,2))]. 5990 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(255,a,2310,a(flip),b,5418,a),flip(a)]. 5991 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(81,a,5431,a,b,5267,a(flip))]. 5992 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(5431(a,2),5180(a,2,1)),flip(a)]. 5994 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(80,a,5432,a,b,5217,a(flip))]. 5995 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(5432(a,2),4526(a,1,1))]. 5996 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(5432(a,2),5180(a,2,1)),flip(a)]. 5998 K((x / y) \ 1,z) = K(y / x,z). [hyper(255,a,5233,a(flip),b,5512,a(flip))]. 6001 R(K(x / y,z),x / y,u) = K((y / x) \ 1,z). [hyper(255,a,4395,a,b,5998,a),flip(a)]. 6002 K((x / y) \ 1,x) = K(x \ y,x). [hyper(255,a,5376,a(flip),b,5998,a)]. 6007 K((x / y) \ 1,x) != z | K(x \ y,x) = z. [para(5998(a,2),5665(a,1))]. 6008 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(255,a,4683,a(flip),b,6002,a)]. 6009 K(x \ (y \ x),x) = K(y \ 1,x). [para(70(a,1),6002(a,1,1,1)),flip(a)]. 6014 x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y). [para(1138(a,1),5513(a,1,2))]. 6015 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1743(a,1),5513(a,1,2))]. 6016 T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). [para(2323(a,1),5513(a,1,2))]. 6017 (((x * y) \ x) \ x) * K(y \ 1,x * y) = x * y. [para(5514(a,1),5203(a,1,2))]. 6018 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(958,a,5515,a)]. 6019 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(849,a,5515,a),flip(a)]. 6020 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(661,a,5515,a),flip(a)]. 6021 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(255,a,1138,a(flip),b,5515,a(flip)),flip(a)]. 6023 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [para(5515(a,1),2010(a,2,1)),flip(a)]. 6024 T(x * y,z) / y = K(((1 / y) / x) \ 1,z) * x. [hyper(255,a,935,a(flip),b,5517,a),flip(a)]. 6025 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(255,a,925,a(flip),b,5517,a)]. 6026 x \ (y * T(y \ x,x)) = K((y / x) \ 1,x). [hyper(80,a,5517,a(flip),b,3141,a(flip))]. 6027 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(18(a,1),5517(a,2,2,1))]. 6028 (x \ K(x,y)) * x = (x \ 1) * T(x,y). [hyper(255,a,5451,a(flip),b,5533,a(flip))]. 6029 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(3165,a,5567,a)]. 6031 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [para(5641(a,1),43(a,1,1)),flip(a)]. 6032 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(81,a,4178,a,b,5660,a)]. 6036 (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. [hyper(255,a,3175,a(flip),b,5732,a(flip)),flip(a)]. 6038 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(3344(a,1),5758(a,1,1,2))]. 6039 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(3993(a,1),5759(a,1,1))]. 6041 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(5002(a,1),5764(a,1,1,1))]. 6042 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2821(a,1),5809(a,1,2,1)),flip(a)]. 6043 K(x,(y * (z / (1 / u))) \ w) = K(x,(y * (z / (u \ 1))) \ w). [para(4991(a,1),5812(a,1,2,1)),flip(a)]. 6045 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(3097(a,1),5814(a,1,2,1))]. 6046 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5819(a,1),222(a,1,2)),flip(b)]. 6049 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5894(a,1),5826(a,1,2,1,2))]. 6050 T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). [para(5515(a,2),5826(a,1,2,1))]. 6052 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5819(a,1),5827(a,1,1,1))]. 6053 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(5622,a,5846,a)]. 6055 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(37(a,2),5846(a,1,2))]. 6059 T(x,T(y,x)) / ((y * x) \ x) = x * y. [para(37(a,2),5860(a,1,1,2))]. 6060 T(x,y) / ((y * x) \ x) = x * y. [para(4446(a,1),6059(a,1,1))]. 6061 T(x,y) = (x * y) * ((y * x) \ x). [para(6060(a,1),21(a,1,1)),flip(a)]. 6062 (x * y) \ T(x,y) = (y * x) \ x. [para(6060(a,1),73(a,1,1))]. 6064 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(80,a,6061,a,b,99,a(flip)),flip(a)]. 6065 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(255,a,4779,a,b,6062,a(flip)),flip(a)]. 6075 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(22,a,3996,a,b,5881,a),flip(a)]. 6076 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * x. [para(5882(a,1),4911(a,1,1)),flip(a)]. 6080 K(x / y,(x / y) \ x) * z = y \ ((x / (x / y)) * z). [hyper(284,a,5903,a),flip(a)]. 6082 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(5272(a,1),5903(a,1,2))]. 6085 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(255,a,5976,a(flip),b,5970,a(flip))]. 6086 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(6085(a,1),73(a,1,1))]. 6087 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [para(6085(a,1),5183(a,2,1)),flip(a)]. 6088 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(255,a,5963,a(flip),b,6086,a(flip))]. 6089 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [para(6086(a,1),193(a,1,2)),flip(a)]. 6090 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(6086(a,1),5184(a,2,2)),flip(a)]. 6091 L(T(K(x,y),z),K(y,x),z) = (K(y,x) * z) \ z. [para(6086(a,1),6065(a,1,1))]. 6092 K(K(x,y),z) = K(z,K(y,x)). [hyper(255,a,5455,a(flip),b,6087,a(flip)),flip(a)]. 6093 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(5624,a,6092,a)]. 6094 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(6092(a,1),5252(a,2,2)),flip(a)]. 6095 x * K(K(y,z),x) = T(x,K(z,y)). [para(6092(a,2),5252(a,2,2)),flip(a)]. 6096 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(6092(a,1),5263(a,2,1)),flip(a)]. 6097 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(6092(a,1),5384(a,1,1))]. 6098 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(6092(a,1),5272(a,1,1))]. 6099 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(6093(a,1),5384(a,1))]. 6100 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(5657,a,6095,a),flip(a)]. 6101 T(T(x,K(y,z)),K(z,y)) = x. [hyper(255,a,5266,a(flip),b,6095,a(flip))]. 6102 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(6095(a,1),5265(a,1,1))]. 6105 T(K(x,y),K(z,y)) = K(x,y). [para(2072(a,1),6101(a,1,1))]. 6106 T(K(x,y),K(x,z)) = K(x,y). [para(2074(a,1),6101(a,1,1))]. 6107 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(80,a,6105,a(flip),b,5607,a)]. 6108 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(6105(a,1),127(a,1,2))]. 6110 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(6106(a,1),127(a,1,2))]. 6112 T(K(x,y),y * z) = K(x,((y * z) \ z) \ 1). [para(20(a,1),6088(a,1,1,2))]. 6113 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(6088(a,1),127(a,1,2))]. 6116 K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. [para(6094(a,1),5612(a,1,2)),flip(b)]. 6117 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(5275,a,6107,a)]. 6118 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(5935,a,6110,a)]. 6119 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(5381(a,1),6097(a,1))]. 6120 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(5455(a,2),6119(a,1))]. 6121 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(129(a,1),5975(a,1,2,2,1)),flip(a)]. 6123 K(x,y) / (1 / y) = 1 / (K(y,x) / y). [hyper(23,a,5862,a,b,5988,a),flip(a)]. 6124 ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). [para(5217(a,1),5990(a,1,1,1))]. 6125 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(5360(a,1),5990(a,1,1))]. 6126 K((x / y) \ 1,y) = K((1 / x) * y,y). [hyper(255,a,5839,a(flip),b,6026,a(flip))]. 6127 K((x / y) \ 1,y) = K(x \ y,y). [hyper(255,a,5896,a(flip),b,6126,a)]. 6128 K(x / y,x) = K(y \ x,x). [hyper(255,a,5998,a(flip),b,6127,a(flip)),flip(a)]. 6129 K((x \ y) \ y,y) = K(x,y). [para(70(a,1),6128(a,1,1)),flip(a)]. 6131 L(x * K(y,x),x \ 1,x) = x * ((T(x,y) \ 1) * x). [para(6036(a,1),190(a,1,2)),flip(a)]. 6132 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(87,a,6075,a)]. 6133 K(x,y) * K(y,((x * z) \ z) \ 1) = K(x * z,K(x,y)). [para(6112(a,1),6090(a,1,2))]. 6134 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(6117(a,1),4307(a,2,3))]. 6135 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(255,a,5098,a(flip),b,6132,a(flip)),flip(a)]. 6136 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(255,a,5097,a(flip),b,6132,a(flip)),flip(a)]. 6137 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(6135(a,1),5890(a,1,2,1))]. 6140 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(4039(a,1),5196(a,1,1,1)),flip(a)]. 6142 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(4039(a,1),5254(a,1,2,1)),flip(a)]. 6144 L(K(x,y) * K(z,y),K(y,z),K(y,x)) = (K(y,x) * K(y,z)) \ 1. [para(6107(a,1),5396(a,1,1))]. 6145 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(5440(a,2),4550(a,1,1))]. 6146 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(5512(a,1),5493(a,1))]. 6147 K(x \ 1,y) != z | K(1 / x,y) = z. [para(68(a,1),6146(a,1,1,1))]. 6152 K(x \ R(x,y,z),x) = (x \ K(x,R(x \ 1,u,w))) * x. [para(3922(a,2),5704(a,2,1,2))]. 6155 T(x,K(y,y \ 1)) != z | z = x. [para(5607(a,1),5713(a,1))]. 6157 T(x / y,y) != z | y \ x = z. [para(1386(a,1),6155(a,1)),flip(b)]. 6159 T(x,x \ y) != z | (x \ y) \ y = z. [para(70(a,1),6157(a,1,1))]. 6165 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(47(a,2),6159(a,1))]. 6170 T(x,T(1 / y,z) \ x) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(3314(a,1),5725(a,1,2))]. 6171 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(255,a,47,a,b,5823,a)]. 6172 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5836(a,1),5892(a,1,1))]. 6179 ((x * y) / x) * z != u | y * (K(x,y) * z) = u. [para(5217(a,2),5918(a,1,1))]. 6183 x \ K(x * y,x \ 1) = y / (y / (x \ 1)). [para(4686(a,1),5164(a,1,2))]. 6184 (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). [para(6183(a,2),73(a,1,1))]. 6185 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(5186(a,2),5234(a,1,1))]. 6187 K(x,L(x,y,z) \ 1) = K(x,x \ 1). [hyper(255,a,4960,a(flip),b,6185,a(flip))]. 6188 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (1 / x) * (L(x,y,z) \ x). [hyper(80,a,6185,a(flip),b,3824,a)]. 6189 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(73(a,1),6185(a,1,1,2)),flip(a)]. 6190 (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). [para(6185(a,1),112(a,1,2))]. 6191 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3702(a,1),6185(a,1,1)),flip(a)]. 6192 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(6187(a,2),4964(a,1,2))]. 6193 T(x,L(x,y,z) \ 1) = K(x,x \ 1) * x. [para(6187(a,1),5263(a,2,1))]. 6194 K(x,T(y,L(y,z,u) \ 1)) = K(x,y). [para(6193(a,2),5797(a,1,2))]. 6195 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(342(a,1),6191(a,1,2,1)),flip(a)]. 6197 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [para(5357(a,1),21(a,1,1))]. 6198 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(255,a,6117,a(flip),b,5420,a)]. 6199 ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(6198(a,1),113(a,1,2,2,1))]. 6200 (x * y) / (y * K(z,y)) = (x / (y * K(z,y))) * y. [para(5217(a,1),5438(a,1,2))]. 6201 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(5438(a,1),6157(a,1,1))]. 6202 a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). [hyper(255,a,3807,a,b,5510,a(flip)),flip(a)]. 6204 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(5187(a,1),5510(a,1,1))]. 6205 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(5240(a,2),5510(a,1,1)),flip(a)]. 6207 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(6204(a,1),122(a,1,1))]. 6208 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(123(a,1),6204(a,2,1,1))]. 6209 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3312(a,1),6204(a,1,1)),flip(a)]. 6211 K(x,R(1 / y,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(6205(a,1),5381(a,1,1)),flip(a)]. 6212 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(6205(a,1),6204(a,1,1)),flip(a)]. 6213 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(6209(a,1),5600(a,1,1)),flip(a)]. 6214 (x * y) * z != x * T(y,u) | K(((x * y) \ x) \ 1,u) = z. [para(5516(a,1),24(a,1)),flip(a)]. 6215 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(255,a,1749,a(flip),b,5519,a(flip)),flip(a)]. 6216 (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). [para(73(a,1),5519(a,1,2,2,1,2))]. 6217 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(127(a,1),5519(a,1,2))]. 6218 x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). [para(848(a,1),5519(a,1,2))]. 6222 K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y). [para(3606(a,1),5525(a,2,2,1))]. 6223 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(848(a,1),5526(a,1,2))]. 6224 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5525(a,2),5526(a,1,2))]. 6225 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(255,a,5998,a,b,5563,a(flip)),flip(a)]. 6227 (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). [hyper(5489,a,5666,a),flip(a)]. 6228 K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). [hyper(255,a,3479,a,b,6227,a(flip)),flip(a)]. 6229 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(20(a,1),6228(a,1,2,2))]. 6230 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(6147,a,6229,a)]. 6231 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [para(6230(a,1),5472(a,1,2)),flip(a)]. 6233 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1332(a,1),5770(a,1,1))]. 6234 T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). [para(2425(a,1),5770(a,1,1))]. 6236 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(5057(a,1),5883(a,1,2))]. 6237 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(5069(a,1),5884(a,1,2))]. 6238 R(K(x,y),x,z) != u | K(x,y) = u. [para(4373(a,2),5931(a,1))]. 6239 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(5199,a,6017,a)]. 6240 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [para(162(a,2),6239(a,2,1)),flip(a)]. 6241 x / T(x * y,y \ 1) = L(y \ 1,y,x). [para(6240(a,1),70(a,1,2))]. 6242 T(x,x \ T(x * y,y \ 1)) = T(x,L(y \ 1,y,x) \ 1). [para(6240(a,1),4409(a,1,2,2))]. 6243 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(5073(a,1),6241(a,1,2))]. 6244 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(6018(a,1),19(a,1,2))]. 6245 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [para(21(a,1),6024(a,1,1,1)),flip(a)]. 6247 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(5155(a,1),6045(a,1,2,1)),flip(a)]. 6250 K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). [para(5360(a,1),6121(a,1,1,2))]. 6252 ((x * K(y,z)) / (z * K(y,z))) * z = R(x,K(y,z),z). [hyper(3160,a,6200,a),flip(a)]. 6256 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(73(a,1),6224(a,1,2,1,1))]. 6257 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3312(a,1),6224(a,1,2,1))]. 6258 x * K((1 / y) \ 1,x * (1 / y)) = y * (x / y). [hyper(255,a,3220,a(flip),b,6231,a(flip))]. 6260 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5381(a,1),6244(a,1,2,2,1,1,2))]. 6261 x * K(y,x * (1 / y)) = y * (x / y). [para(73(a,1),6258(a,1,2,1))]. 6262 K(x,y * (1 / x)) = K(x,x \ y). [hyper(22,a,5472,a,b,6261,a)]. 6265 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [para(70(a,1),6262(a,1,2,2)),flip(a)]. 6266 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(6262(a,1),5394(a,1,2)),flip(a)]. 6268 K(x * (1 / y),y) = K(y \ x,y). [hyper(255,a,5394,a(flip),b,6266,a)]. 6271 K(x * (y \ 1),y) = K(y \ x,y). [hyper(255,a,5752,a(flip),b,6268,a(flip)),flip(a)]. 6272 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(70(a,1),6268(a,1,1,2)),flip(a)]. 6273 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [hyper(255,a,5379,a(flip),b,6271,a(flip)),flip(a)]. 6282 K(R(x,y,y \ 1),y) = K(x,y). [hyper(255,a,615,a(flip),b,6273,a)]. 6284 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(255,a,4691,a(flip),b,6265,a(flip))]. 6285 x * T(x \ 1,y * x) = K(x \ 1,x * y). [hyper(5316,a,6284,a)]. 6286 K((1 / x) \ y,x \ 1) = K(y * x,x \ 1). [hyper(255,a,5755,a,b,6272,a(flip)),flip(a)]. 6287 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(255,a,4686,a(flip),b,6272,a(flip))]. 6288 K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). [para(6287(a,1),5982(a,1,2,2))]. 6289 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(22,a,5187,a,b,6285,a)]. 6290 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(255,a,4599,a(flip),b,6289,a)]. 6291 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). [para(6289(a,1),2185(a,1,2,1,1))]. 6292 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). [para(6289(a,2),2185(a,1,1))]. 6293 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(19(a,1),6290(a,1,2))]. 6298 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(255,a,5982,a(flip),b,6288,a(flip))]. 6299 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6298(a,2),5455(a,1,1))]. 6300 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(6120,a,6299,a),flip(a)]. 6301 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(6119,a,6300,a),flip(a)]. 6302 (x / (x / y)) \ L(y,y \ x,y) = K((x / y) \ x,x). [hyper(255,a,6128,a(flip),b,5277,a)]. 6303 T((x * K(y,z)) \ x,x) = (K(y,z) * x) \ x. [hyper(255,a,6091,a(flip),b,5397,a)]. 6304 L(x * K(y,x),x \ 1,x) = K(y,x) / (1 / x). [hyper(255,a,5445,a,b,5437,a)]. 6306 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5600(a,1),5615(a,1,1))]. 6307 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(255,a,4721,a(flip),b,5616,a(flip))]. 6310 R(x,x \ (y \ x),x) = R(x,y \ 1,x). [hyper(255,a,5824,a(flip),b,5825,a(flip))]. 6311 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(22,a,5104,a(flip),b,5984,a)]. 6313 K(L(x,y,z) \ 1,x) = K(x \ 1,L(x,u,w)). [hyper(255,a,4933,a,b,6311,a),flip(a)]. 6314 L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x). [para(6311(a,2),2694(a,1,1))]. 6322 x * ((T(x,y) \ 1) * x) = K(y,x) / (1 / x). [hyper(255,a,6304,a(flip),b,6131,a(flip))]. 6323 x \ (1 / (K(x,y) / x)) = (T(x,y) \ 1) * x. [hyper(80,a,6123,a(flip),b,6322,a)]. 6324 x \ (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [para(5362(a,1),6323(a,1,2,2))]. 6325 T(x,y) \ (1 / (1 / T((z * x) / z,y))) = (T(T(x,y),z) \ 1) * T(x,y). [para(404(a,1),6324(a,1,2,2,2))]. 6326 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(20(a,1),6172(a,2,2))]. 6327 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(5176,a,6326,a),flip(a)]. 6328 T(1 / L(x,y,z),x) = L(x,y,z) \ 1. [para(6192(a,1),5307(a,1,1))]. 6330 (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(6202(a,1),634(a,1,2))]. 6331 R(x * y,K(z,y),y) = R(x,y,K(z,y)) * y. [para(35(a,2),6252(a,1,1)),flip(a)]. 6332 R(x * y,K(z,y),y) != u * y | R(x,y,K(z,y)) = u. [para(6331(a,2),25(a,1))]. 6333 K(x,y) = (y / (y / x)) \ L(x,x \ y,x). [hyper(255,a,616,a(flip),b,6302,a),flip(a)]. 6336 K(L(x,y,z) \ 1,L(x,y,z)) = K(L(x,y,z) \ 1,x). [hyper(3630,a,6314,a)]. 6337 K(L(x,y,z) \ 1,L(x,y,z)) = K(x \ 1,L(x,u,w)). [hyper(255,a,6313,a(flip),b,6336,a)]. 6339 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(6337(a,1),2306(a,1,1))]. 6340 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(6337(a,1),2862(a,1,1))]. 6341 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(255,a,2515,a(flip),b,5363,a)]. 6342 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3968,a,6341,a)]. 6343 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [hyper(255,a,6124,a(flip),b,5404,a)]. 6344 T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(6110(a,1),5404(a,2,1,1))]. 6345 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(47(a,2),5518(a,2,2))]. 6346 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(5187(a,1),5528(a,1,1,2))]. 6349 (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. [hyper(87,a,6346,a)]. 6350 ((x * y) * K(y \ 1,z)) / (K(y \ 1,z) * y) = R(x,K(y \ 1,z),y). [hyper(81,a,6346,a(flip),b,122,a)]. 6353 R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). [para(6349(a,1),1061(a,1,1)),flip(a)]. 6354 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(255,a,4556,a(flip),b,5594,a)]. 6355 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(255,a,4557,a(flip),b,5595,a)]. 6358 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(5238(a,1),5769(a,1,1))]. 6359 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(6238,a,6358,a),flip(a)]. 6360 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(255,a,3994,a(flip),b,6358,a(flip))]. 6361 K(x,R(1 / y,z,u) \ 1) = R(K(x,y),z,u). [para(73(a,1),6358(a,1,1,2)),flip(a)]. 6362 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3702(a,1),6358(a,1,1)),flip(a)]. 6363 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5786(a,1),6358(a,1,1)),flip(a)]. 6364 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(51(a,1),6359(a,1,2,1))]. 6365 K(x \ R(x,y,z),x) = (x \ K(x,R(x,u,w) \ 1)) * x. [para(6360(a,2),5704(a,2,1,2))]. 6366 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(255,a,6211,a(flip),b,6361,a(flip)),flip(a)]. 6367 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(817,a,6366,a),flip(a)]. 6368 (R(K(x,y),z,u) \ K(R(K(x,y),z,u) * w,R(K(y,x),z,u))) \ w = w / (R(K(x,y),z,u) \ 1). [para(6366(a,1),6184(a,1,1,2,2))]. 6369 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(6362(a,1),5252(a,2,2))]. 6370 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(255,a,5791,a(flip),b,6363,a(flip))]. 6372 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(450(a,1),6363(a,1,2)),flip(a)]. 6373 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(21(a,1),6370(a,2,2,1))]. 6374 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(21(a,1),6370(a,2,2,2))]. 6375 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(70(a,1),6370(a,1,1,2)),flip(a)]. 6376 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(5583(a,1),6374(a,1,1))]. 6377 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(120(a,2),6375(a,1,2))]. 6378 R(K(x,y),T(y,z),u) = K(x,y). [para(4340(a,1),6375(a,1,2)),flip(a)]. 6379 (K(x,y) * T(y,z)) \ K(x,y) = T(y,z) \ 1. [hyper(80,a,6378,a(flip),b,193,a)]. 6380 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(6378(a,1),122(a,1,1)),flip(a)]. 6381 K(x,R(y,T(y,x) \ z,u)) = R(K(x,T(y,x)),z,u). [hyper(5504,a,6377,a)]. 6382 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(18(a,1),6377(a,1,2,2)),flip(a)]. 6383 R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). [para(37(a,2),6377(a,1,2,2)),flip(a)]. 6384 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(149(a,1),6377(a,1,2,2)),flip(a)]. 6385 R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). [para(5556(a,1),6377(a,1,2,2)),flip(a)]. 6386 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(6238,a,6382,a),flip(a)]. 6387 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(255,a,6204,a(flip),b,6382,a(flip)),flip(a)]. 6388 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6382(a,1),47(a,2,1))]. 6389 R(x,y,x) \ K(x * y,x) = T(x,y) \ 1. [para(5541(a,1),6379(a,1,1))]. 6390 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(6238,a,6376,a),flip(a)]. 6391 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(255,a,5786,a,b,6376,a)]. 6392 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(6376(a,1),6238(a,1))]. 6394 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1836(a,1),6390(a,1,2)),flip(a)]. 6395 L(x,T(y,z),K(u,y)) = x. [hyper(422,a,6380,a)]. 6396 K(x,R(y,T(y,x) \ z,u)) = R(K(x,y),z,u). [para(5373(a,1),6381(a,2,1))]. 6397 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(482(a,1),6364(a,1,2,1)),flip(a)]. 6399 R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1). [para(20(a,1),6391(a,1,1,2,1))]. 6400 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(6391(a,1),47(a,2,1))]. 6401 R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1). [para(21(a,1),6399(a,2,2,1,2))]. 6402 x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). [para(19(a,1),5772(a,1,2,2,1))]. 6403 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(5402(a,1),5888(a,1,1,1)),flip(a)]. 6404 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(3146(a,1),5916(a,1,1))]. 6405 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(4065(a,1),6015(a,1,2)),flip(a)]. 6406 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(5072,a,6021,a),flip(a)]. 6408 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(6046,a,6049,a),flip(a)]. 6409 K(x / y,(x / y) \ x) = K(y \ x,y). [hyper(23,a,5859,a(flip),b,6080,a)]. 6412 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(6140(a,2),157(a,1))]. 6413 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(255,a,60,a(flip),b,6142,a)]. 6415 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x \ 1,u,w)). [hyper(255,a,6028,a(flip),b,6152,a)]. 6416 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6362(a,1),6213(a,1,1)),flip(a)]. 6417 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(541,a,6416,a)]. 6418 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(510,a,6416,a)]. 6420 ((x \ 1) * y) / ((x \ K(x,z)) * y) = R(K(z,x),x \ 1,y). [para(3605(a,1),6417(a,1,2,1))]. 6421 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(255,a,5572,a(flip),b,6215,a(flip))]. 6422 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5515(a,1),6215(a,1,1))]. 6424 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(848(a,1),6216(a,1,2)),flip(a)]. 6425 K(x \ y,y) / (y \ T(y * (x \ 1),y)) = x. [hyper(81,a,6421,a(flip),b,6218,a)]. 6426 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6425(a,1),148(a,1,2,1))]. 6427 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6426(a,1),1980(a,2,2,1))]. 6429 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(255,a,6236,a(flip),b,6237,a(flip))]. 6430 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(96,a,6245,a),flip(a)]. 6431 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(18(a,1),6250(a,2,2,2,1))]. 6434 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(81,a,6342,a(flip),b,2899,a)]. 6435 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x,u,w) \ 1). [hyper(255,a,6028,a(flip),b,6365,a)]. 6436 R(K(x,y),K(x,y) * z,u) = R(K(x,y),z,u). [hyper(255,a,6396,a(flip),b,6385,a)]. 6437 R(K(x,y),y \ K(y,x),z) = R(K(x,y),y \ 1,z). [para(5603(a,1),6436(a,1,2)),flip(a)]. 6438 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = ((((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z)) * (x \ 1)) * z. [para(6437(a,2),1882(a,2,2,1)),flip(a)]. 6439 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(5132(a,1),6394(a,1,2,1))]. 6440 R(x,y,z) * (K(u,x) * w) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5. [para(6404(a,1),454(a,1))]. 6443 T(x,R(x \ 1,y,z)) = T(x,R(x,u,w) \ 1). [hyper(22,a,6415,a(flip),b,6435,a(flip)),flip(a)]. 6444 T(x,R(x,y,z) \ 1) = T(x,x \ 1). [hyper(255,a,4165,a(flip),b,6443,a(flip))]. 6445 (R(x,y,z) \ 1) * T(x,x \ 1) = R(x,y,z) \ x. [para(6444(a,1),1312(a,1,2))]. 6446 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = R(x,y,z) \ x. [hyper(255,a,274,a(flip),b,6445,a(flip)),flip(a)]. 6448 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(255,a,6076,a(flip),b,6446,a(flip)),flip(a)]. 6449 T(1 / R(x,y,z),x) = R(x,y,z) \ 1. [hyper(172,a,6448,a,b,1308,a)]. 6450 x / R(x,y,z) = R(x,y,z) \ x. [hyper(255,a,1952,a(flip),b,6448,a(flip)),flip(a)]. 6452 (x / R(x,y,z)) * u = (R(x,y,z) \ x) * u. [hyper(27,a,6450,a)]. 6453 (R(x,y,z) \ x) * R(x,y,z) = x. [para(6450(a,1),21(a,1,1))]. 6454 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(6450(a,1),6370(a,1,1,2))]. 6455 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(6450(a,2),6137(a,1,2,1))]. 6456 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(6453(a,1),5011(a,1,1,1))]. 6457 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(255,a,5335,a,b,6456,a(flip)),flip(a)]. 6458 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(255,a,2189,a,b,5367,a(flip)),flip(a)]. 6459 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(5592(a,1),5613(a,1,2))]. 6460 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(255,a,6416,a(flip),b,5703,a(flip)),flip(a)]. 6462 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(255,a,6192,a(flip),b,5779,a(flip))]. 6464 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(6462(a,1),21(a,1,1))]. 6465 x / L(x,y,z) = L(x,y,z) \ x. [hyper(255,a,1837,a(flip),b,6464,a(flip)),flip(a)]. 6466 (L(x,y,z) \ x) \ x = L(x,y,z). [para(6465(a,1),73(a,1,1))]. 6468 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(5187(a,1),5929(a,1,1))]. 6470 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(6468,a,xx),flip(a)]. 6473 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1723(a,1),6470(a,1,1)),flip(a)]. 6475 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3312(a,1),6470(a,1,1)),flip(a)]. 6476 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(5381(a,1),6470(a,1,1,1)),flip(a)]. 6477 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5967(a,1),6470(a,1,1)),flip(a)]. 6479 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(6475(a,1),5381(a,1,1)),flip(a)]. 6480 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(6475(a,1),5600(a,1,1)),flip(a)]. 6483 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(255,a,6191,a(flip),b,6479,a(flip))]. 6484 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [para(6483(a,1),70(a,1,2))]. 6485 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(6483(a,1),303(a,1,2)),flip(b)]. 6486 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6484(a,1),219(a,1,1)),flip(b)]. 6488 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(6191(a,1),6480(a,1,1)),flip(a)]. 6489 x / (L(K(y,z),u,w) * x) = L(K(z,y),u,w). [hyper(416,a,6488,a)]. 6490 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(255,a,2077,a(flip),b,6488,a)]. 6491 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(222,a,6488,a)]. 6492 x / (L(K(y,z),u,w) * x) != v5 | L(K(z,y),u,w) = v5. [para(6488(a,1),303(a,1,2)),flip(b)]. 6493 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(6489(a,1),89(a,1,1)),flip(b)]. 6496 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(5169(a,1),5960(a,1,1)),flip(a)]. 6497 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(255,a,45,a,b,6496,a)]. 6498 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(6497(a,1),49(a,1,1)),flip(a)]. 6501 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(6002(a,1),6208(a,1,1))]. 6502 R(K(x \ (y / z),x),y / z,z) = K(((x * z) / y) \ 1,x). [para(21(a,1),6501(a,2,1,1,2))]. 6503 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(73(a,1),6243(a,1,2,2)),flip(a)]. 6505 (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). [hyper(80,a,6378,a(flip),b,6367,a(flip)),flip(a)]. 6506 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(5853(a,1),6505(a,1,1))]. 6509 R(K(x \ (y / z),x),y / z,z) != u | K(y / (x * z),x) = u. [para(6502(a,2),6146(a,1))]. 6510 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(5261(a,1),5399(a,1,2))]. 6511 T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. [para(5407(a,1),5940(a,1))]. 6512 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1955,a,5426,a),flip(a)]. 6513 (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). [para(5308(a,1),5460(a,1,2)),flip(a)]. 6514 (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). [para(1891(a,1),6513(a,2,2))]. 6518 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(255,a,6118,a(flip),b,5698,a)]. 6519 K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). [para(6518(a,1),3543(a,1,2))]. 6520 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(5547(a,1),5743(a,1,1,2)),flip(a)]. 6521 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [para(127(a,1),6019(a,2,2))]. 6523 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(529(a,1),6212(a,1,1,1)),flip(a)]. 6524 T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). [para(790(a,1),6234(a,1,1,1))]. 6525 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(73(a,1),6256(a,2,1,1))]. 6526 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(18(a,1),6525(a,1,2,2)),flip(a)]. 6528 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(80,a,6526,a,b,127,a)]. 6529 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3312(a,1),6257(a,2,1))]. 6531 K(x,y) * ((x \ 1) \ T(y,x)) = (x \ 1) \ y. [hyper(80,a,5207,a(flip),b,6529,a),flip(a)]. 6532 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(18(a,1),6529(a,1,2,2)),flip(a)]. 6533 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(37(a,2),6529(a,1,2,2))]. 6535 K(T(x,y),y) * ((T(x,y) \ 1) \ T(y,x)) = (T(x,y) \ 1) \ y. [para(4446(a,1),6531(a,1,2,2))]. 6536 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [para(127(a,1),6532(a,2,2))]. 6537 x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). [para(6532(a,2),190(a,1,2))]. 6539 ((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x). [para(6532(a,1),5605(a,1,2))]. 6540 ((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z) = K(y,x). [para(5608(a,1),6539(a,1,2,2))]. 6542 L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). [hyper(5668,a,6537,a),flip(a)]. 6543 T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). [para(5608(a,1),6542(a,1,1)),flip(a)]. 6544 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5515(a,2),6260(a,1,2))]. 6545 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(6020(a,1),6260(a,1,2)),flip(a)]. 6546 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(4621(a,1),6354(a,1,2))]. 6547 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(4621(a,1),6355(a,1,2))]. 6548 K((x \ (y / (z \ 1))) \ 1,y) = K((x \ (y * z)) \ 1,y). [hyper(255,a,6014,a(flip),b,6405,a)]. 6549 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(313,a,6422,a)]. 6550 ((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)). [hyper(255,a,6215,a,b,6424,a(flip)),flip(a)]. 6551 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(255,a,6090,a(flip),b,6510,a)]. 6552 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(5378(a,1),6512(a,1,2)),flip(a)]. 6553 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(255,a,5415,a(flip),b,6552,a)]. 6554 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(19(a,1),6553(a,1,1,1)),flip(a)]. 6555 (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(6519(a,1),3988(a,1,1)),flip(a)]. 6556 K(x,y) * ((T(x,y) \ 1) \ T(y,x)) = (T(x,y) \ 1) \ y. [para(5368(a,1),6535(a,1,1))]. 6557 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(87,a,6544,a)]. 6558 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6544(a,1),24(a,1))]. 6559 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6545(a,2),24(a,1))]. 6560 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6557(a,1),5025(a,1,1))]. 6561 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(18(a,1),6560(a,1,1,2,1)),flip(a)]. 6562 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6561(a,2),25(a,1))]. 6563 x * (y * ((z \ (y \ z)) * z)) = (x * K(y \ 1,z)) * z. [hyper(255,a,5118,a(flip),b,5530,a(flip)),flip(a)]. 6564 (x * K(y \ 1,z)) * z = x * (z * K(y \ 1,z)). [para(5224(a,1),6563(a,1,2)),flip(a)]. 6565 R(x,K(y \ 1,z),z) = x. [hyper(3159,a,6564,a)]. 6566 R(x,K(y,z),z) = x. [para(73(a,1),6565(a,1,2,1))]. 6567 R(x,y,K(z,y)) = x. [hyper(6332,a,6566,a)]. 6568 (x * K(y,z)) * z = x * (z * K(y,z)). [para(6566(a,1),3157(a,1,1)),flip(a)]. 6569 (x * y) * K(z,y) = x * (y * K(z,y)). [para(6567(a,1),122(a,1,1)),flip(a)]. 6570 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(87,a,6568,a)]. 6572 L(K(x,y),y,z) = K(x,y). [hyper(422,a,6569,a)]. 6573 (x * K(y,z)) * z = (x * z) * K(y,z). [hyper(255,a,6568,a,b,6569,a),flip(a)]. 6574 (x * y) * K(z,y) = x * ((z * y) / z). [hyper(255,a,5421,a,b,6569,a)]. 6576 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(5268(a,1),6569(a,2,2))]. 6577 L(K(x,y),y,z) = K(x,y * K(x,y)). [hyper(255,a,5392,a,b,6572,a)]. 6579 a(x,y,K(z,y)) = 1. [hyper(39,a,6572,a)]. 6580 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(255,a,6195,a(flip),b,6572,a(flip)),flip(a)]. 6581 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(6572(a,1),50(a,1,1)),flip(a)]. 6583 L(K(x,y),x,z) = K(y,x) \ 1. [para(6572(a,1),6483(a,1,1)),flip(a)]. 6584 a(x,T(y,z),K(z,y)) = 1. [para(4195(a,1),6579(a,1,3))]. 6585 L(K(x,y),T(y,x),z) = K(x,y). [hyper(38,a,6584,a)]. 6586 L(K(x,y),x,z) = K(x,y). [hyper(255,a,5381,a(flip),b,6583,a)]. 6587 L(K(x,y),x,z) != u | K(x,y) = u. [para(6583(a,2),5384(a,1))]. 6588 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(255,a,5256,a,b,6586,a(flip)),flip(a)]. 6589 x \ ((x / y) * T(y,z)) = K(y,z). [hyper(255,a,5260,a(flip),b,6586,a(flip)),flip(a)]. 6591 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(6586(a,1),495(a,1,2,1))]. 6594 (x * T(y,z)) \ (x * y) = K(z,y). [hyper(255,a,5202,a(flip),b,6585,a(flip)),flip(a)]. 6597 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [hyper(255,a,5381,a,b,6580,a)]. 6598 K((x \ y) \ 1,(y \ x) \ 1) = K(y \ x,x \ y). [hyper(255,a,2789,a(flip),b,6580,a)]. 6599 T(K(x,y / z),y) = K(x,z \ y). [hyper(255,a,6088,a,b,6580,a(flip)),flip(a)]. 6602 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(29(a,2),6580(a,1,2,1)),flip(a)]. 6604 K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). [para(114(a,2),6580(a,1,2,1))]. 6605 K(x,L(y,z \ 1,z) \ z) = K(x,((z \ 1) * y) \ 1). [para(383(a,1),6580(a,1,2,1)),flip(a)]. 6606 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(643(a,1),6580(a,1,2,1)),flip(a)]. 6610 K(x,(y \ K(z,u)) \ 1) = K(x,K(u,z) * y). [para(5600(a,1),6580(a,2,2))]. 6611 K(x,y \ z) * K(x * ((z \ y) \ 1),x) = x \ R(x,(z \ y) \ 1,x). [para(6580(a,1),5726(a,1,1))]. 6612 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(6580(a,1),6185(a,1,1)),flip(a)]. 6613 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6580(a,1),5775(a,1,2))]. 6614 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6580(a,1),6358(a,1,1)),flip(a)]. 6615 K(x,y) * K(y,z \ (x * z)) = K(x * z,K(x,y)). [para(6580(a,1),6133(a,1,2))]. 6618 (x * y) * K(y,z) = x * T(y,z). [para(6588(a,1),19(a,1,2))]. 6619 x \ (y * T(y \ x,z)) = K(y \ x,z). [para(19(a,1),6588(a,1,1))]. 6620 ((x / T(y,z)) * y) \ x = K(y,z). [para(21(a,1),6588(a,1,2))]. 6621 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6588(a,1),220(a,1,2)),flip(b)]. 6627 (x * (y / x)) \ (K(x,x \ y) * T(y,z)) = K(y,z). [para(5271(a,1),6588(a,1,1))]. 6629 (x / y) * T(y,z) = x * K(y,z). [para(6589(a,1),19(a,1,2)),flip(a)]. 6631 (x / y) \ (x * K(y,z)) = T(y,z). [para(6589(a,1),65(a,1,2,2))]. 6633 (x * T(y,z)) * K(z,y) = x * y. [para(6594(a,1),19(a,1,2))]. 6634 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(19(a,1),6594(a,1,2))]. 6635 ((x / y) * T(y,z)) \ x = K(z,y). [para(21(a,1),6594(a,1,2))]. 6641 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(6214,a,6618,a)]. 6642 R(x,y,K(y,z)) = x. [hyper(5331,a,6618,a)]. 6643 x * T(x \ y,z) = y * K(x \ y,z). [hyper(519,a,6618,a),flip(a)]. 6645 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(172,a,6618,a,b,19,a),flip(a)]. 6647 x * T(x \ y,z) != u | y * K(x \ y,z) = u. [para(6618(a,1),519(a,1))]. 6649 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(6618(a,1),487(a,1,2))]. 6650 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(6618(a,1),457(a,1,1))]. 6652 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(5175(a,1),6618(a,1,1)),flip(a)]. 6653 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(6618(a,1),6568(a,1,1)),flip(a)]. 6659 (x * T(y,z)) / y = x * K(y,z). [hyper(255,a,1345,a,b,6629,a(flip)),flip(a)]. 6660 (x / T(y,z)) * K(y,z) = x / y. [hyper(255,a,1346,a(flip),b,6629,a(flip))]. 6662 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6629(a,1),860(a,1,2,1))]. 6663 (x * K(y,z)) * y = x * T(y,z). [para(6629(a,1),1343(a,1,1))]. 6664 (x * K(y,z)) \ (x * T(y,z)) = y. [para(6629(a,1),1347(a,1,1))]. 6665 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(6631(a,1),6032(a,1,2))]. 6666 (x * K(y,z)) / z = x / T(z,y). [hyper(535,a,6633,a)]. 6667 (x / T(y,z)) * y = x * K(z,y). [hyper(308,a,6633,a),flip(a)]. 6669 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). [para(6633(a,1),457(a,1,2)),flip(a)]. 6670 (x * K(y,z)) \ x = K(z,y). [para(6629(a,1),6635(a,1,1))]. 6671 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(255,a,6191,a(flip),b,6670,a)]. 6672 (x * K(y,z)) * K(z,y) = x. [para(6670(a,1),19(a,1,2))]. 6673 x / K(y,z) = x * K(z,y). [para(6670(a,1),70(a,1,2))]. 6674 x * K(y,z) != u | u * K(z,y) = x. [para(6670(a,1),94(a,1,2)),flip(b)]. 6675 (x * K(y,z)) * K(z,y) != u | u = x. [para(6670(a,1),220(a,1,2))]. 6677 x / K(y,z) != u | x * K(z,y) = u. [para(6670(a,1),303(a,1,2)),flip(b)]. 6678 L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). [para(6670(a,1),114(a,1,1))]. 6680 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(6670(a,2),5600(a,1,1))]. 6681 (x \ R(x,y,x)) \ K(x * y,x) = K(y,x). [para(5942(a,1),6670(a,1,1))]. 6682 (K(x,y) * z) \ z = T(K(y,x),z). [para(6670(a,1),6303(a,1,1)),flip(a)]. 6683 L(L(K(x,y),z,u),K(y,x),w) = L(K(x,y),z,u). [para(6670(a,1),5398(a,2,1))]. 6684 (x * (y * K(z,u \ 1))) \ (x * y) = K(L(u,y,x) \ 1,z). [para(6190(a,1),6670(a,1,1))]. 6685 (x * (y * K(z,y))) \ (x * y) = K(y,z). [para(6569(a,1),6670(a,1,1))]. 6686 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(172,a,6672,a,b,5608,a)]. 6687 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [hyper(23,a,6102,a,b,6672,a)]. 6688 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(23,a,3604,a,b,6672,a)]. 6689 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(23,a,2075,a,b,6672,a)]. 6692 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y * K(z,u),K(u,z)). [para(6672(a,1),29(a,2,1,2)),flip(a)]. 6693 (x * K(y,z)) \ x != u | K(z,y) = u. [para(6672(a,1),222(a,1,2)),flip(b)]. 6695 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(6672(a,1),112(a,1,1))]. 6697 R(x * K(y,z),K(z,y),u) \ (x * u) = K(z,y) * u. [para(6672(a,1),149(a,1,2,1))]. 6699 (x * K(y,z)) * (y * K(z,y)) = x * y. [para(6672(a,1),6568(a,1,1)),flip(a)]. 6700 x / K(y,z) != x * u | K(z,y) = u. [para(6673(a,2),24(a,1))]. 6701 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(6673(a,1),253(a,1,1))]. 6706 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [hyper(80,a,6641,a(flip),b,5187,a),flip(a)]. 6707 K((x \ y) \ 1,z) = K(y \ x,z). [para(19(a,1),6641(a,1,1,1,1))]. 6709 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(6641(a,1),5334(a,1,2))]. 6712 x \ (y * T(x,z)) = T(y * K(x,z),x). [para(6659(a,1),129(a,1,1)),flip(a)]. 6713 x * T(y * K(x,z),x) = y * T(x,z). [para(6659(a,1),171(a,1,2,1))]. 6714 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(6659(a,1),226(a,1,1)),flip(b)]. 6716 T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. [para(6659(a,1),6157(a,1,1))]. 6718 (x / y) * K(z,y) = x / T(y,z). [hyper(23,a,6672,a,b,6660,a),flip(a)]. 6719 (x * K(y,z)) * y = (x * y) * K(y,z). [hyper(255,a,6618,a,b,6663,a)]. 6722 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(80,a,6629,a(flip),b,6663,a)]. 6723 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(23,a,4695,a(flip),b,6663,a)]. 6724 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6663(a,1),29(a,2,1,2)),flip(a)]. 6725 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(6663(a,1),162(a,2,1))]. 6728 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(5206(a,1),6663(a,1,1))]. 6729 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6663(a,1),5946(a,1,2,1))]. 6730 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(6569(a,1),6663(a,1,1))]. 6731 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(6633(a,1),6663(a,1,1)),flip(a)]. 6732 (x * K(y,z)) * T(z,y) = x * z. [para(6672(a,1),6663(a,1,1)),flip(a)]. 6733 L(x,K(x,y),z) = x. [hyper(5349,a,6664,a)]. 6734 L(T(x,y),K(x,z),u) = T(x,y). [para(6733(a,1),45(a,2,1))]. 6735 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6733(a,1),429(a,1,2,1))]. 6737 L(x * y,K(y * x,z),u) = (y \ (y * x)) * y. [para(6733(a,1),5115(a,1,1,2)),flip(a)]. 6740 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(6734(a,1),50(a,1,1)),flip(a)]. 6741 x \ (y * K(z,x)) = T(y / T(x,z),x). [para(6666(a,1),129(a,1,1)),flip(a)]. 6743 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(6666(a,1),4593(a,1,1,2))]. 6744 T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). [para(6666(a,1),4594(a,1,1,1,2))]. 6745 (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). [para(6666(a,1),6629(a,1,1))]. 6746 x * K(y,z) != u * z | x / T(z,y) = u. [para(6667(a,1),25(a,1))]. 6750 (K(x,y) * z) * T(K(y,x),z) = z. [para(6682(a,1),19(a,1,2))]. 6752 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(6688(a,1),123(a,2,2))]. 6754 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(255,a,6015,a,b,6707,a(flip)),flip(a)]. 6755 T(K(x / y,z),x) = K(y \ x,z). [hyper(255,a,5962,a,b,6707,a(flip)),flip(a)]. 6756 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(255,a,6548,a(flip),b,6707,a(flip)),flip(a)]. 6757 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(255,a,5961,a(flip),b,6707,a(flip))]. 6759 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(37(a,2),6707(a,1,1,1))]. 6761 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(114(a,2),6707(a,1,1,1))]. 6764 T(x,(y \ z) \ 1) = K(z \ y,x) \ x. [para(6707(a,1),5208(a,2,1))]. 6768 T(x,(y \ z) \ x) * K(z \ y,x) = L(x,(y \ z) \ 1,x). [para(6707(a,1),5725(a,1,2))]. 6769 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [para(6707(a,1),6018(a,2,2))]. 6772 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(6707(a,1),5518(a,1,2))]. 6773 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(6707(a,1),6406(a,1,2))]. 6774 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(6707(a,1),6470(a,1,1)),flip(a)]. 6775 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(6707(a,1),6521(a,1,2))]. 6776 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(6707(a,1),6023(a,1,1,2)),flip(a)]. 6777 x / T(y \ x,z) = y * K(z,y \ x). [hyper(302,a,6718,a),flip(a)]. 6778 (x / y) * K(x,y) = T(x,y) / y. [hyper(255,a,4456,a,b,6718,a)]. 6780 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(80,a,6718,a(flip),b,5905,a(flip)),flip(a)]. 6782 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(87,a,6723,a),flip(a)]. 6783 (x \ y) * K(y,x) = x \ T(y,x). [hyper(23,a,6672,a,b,6723,a),flip(a)]. 6784 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(87,a,6732,a)]. 6788 K(x / y,z) * x = x * K(y \ x,z). [para(6755(a,1),127(a,1,2)),flip(a)]. 6790 K(T(x,x \ y),z) = T(K(x,z),y). [para(128(a,2),6757(a,1,1))]. 6791 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(6179,a,6778,a)]. 6792 x \ T(x * y,x) = y * K(x * y,x). [para(18(a,1),6783(a,1,1)),flip(a)]. 6794 T(x,y) * K(y,T(x,y)) != z | z = x. [para(5212(a,1),6675(a,1,1))]. 6795 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(6660(a,1),6675(a,1,1)),flip(b)]. 6797 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5984(a,1),6693(a,1,1))]. 6798 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5986(a,1),6693(a,1,1))]. 6799 (x * (y * K(z,y))) \ (x * y) != u | K(y,z) = u. [para(6569(a,1),6693(a,1,1))]. 6800 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(6095(a,1),6794(a,1))]. 6804 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(686,a,6570,a)]. 6805 L(x,K(y,x),z) = x. [para(3140(a,1),6804(a,1,1))]. 6806 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(6805(a,1),427(a,1,2,1))]. 6807 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(6805(a,1),428(a,1,2,1))]. 6808 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(6805(a,1),429(a,1,2,1))]. 6814 (x * ((y * z) / y)) * K(z,y) = x * z. [hyper(6674,a,6574,a)]. 6816 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(6574(a,1),6663(a,1,1))]. 6817 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(6597(a,2),5384(a,1))]. 6821 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(6619(a,1),439(a,1,1))]. 6823 x \ (y \ ((z \ (y * x)) * z)) = K((y \ z) \ x,z). [para(881(a,1),6619(a,1,2))]. 6826 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(1138(a,1),6634(a,1,1))]. 6827 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(832(a,1),6634(a,1,1))]. 6828 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1638(a,1),6634(a,1,1))]. 6829 T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). [para(2323(a,1),6634(a,1,1))]. 6832 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(6643(a,2),222(a,1,2)),flip(b)]. 6834 (x * K(y \ x,z)) * (y \ 1) = T(x * (y \ 1),z). [para(6643(a,1),973(a,1,1))]. 6837 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(6686(a,1),6101(a,1,1))]. 6838 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(6686(a,1),6800(a,1,1)),flip(b)]. 6839 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(5600(a,2),6687(a,1,1))]. 6840 (x * y) / ((z * y) / z) = x * K(y,z). [hyper(5838,a,6699,a)]. 6841 x / (y * K(z,y)) = (x / y) * K(y,z). [hyper(81,a,21,a(flip),b,6699,a)]. 6847 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(80,a,112,a(flip),b,6731,a)]. 6848 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(6731(a,1),4481(a,1,2))]. 6849 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(255,a,5968,a(flip),b,6759,a(flip))]. 6850 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(255,a,5208,a,b,6764,a)]. 6852 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(6764(a,2),5227(a,1))]. 6854 T(x,(y * z) \ y) = T(x,z \ 1). [para(18(a,1),6850(a,1,2,1)),flip(a)]. 6858 T(x,L(y \ 1,y,z) \ 1) = T(x,z \ (z * y)). [para(162(a,2),6850(a,1,2,1))]. 6861 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(6850(a,1),6159(a,1))]. 6864 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(23,a,3145,a(flip),b,6788,a)]. 6866 (x \ T(x * y,x)) \ (y * K(z,K(x * y,x))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(6792(a,2),5366(a,1,1))]. 6867 (x / ((y * z) / y)) * z = x * K(z,y). [hyper(308,a,6814,a),flip(a)]. 6870 T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u). [para(6837(a,1),43(a,1,1)),flip(a)]. 6871 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(6837(a,1),6800(a,1,1)),flip(b)]. 6873 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(255,a,5438,a(flip),b,6840,a(flip)),flip(a)]. 6874 x / ((y * z) / y) = (x / z) * K(z,y). [hyper(255,a,251,a(flip),b,6840,a(flip)),flip(a)]. 6878 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(5268(a,1),6841(a,1,2)),flip(a)]. 6882 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(4524(a,1),6867(a,1,1,2))]. 6884 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(6674,a,6874,a(flip))]. 6886 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [para(19(a,1),6884(a,1,1,2,1))]. 6891 x \ (R(x,y,x) * T(R(x,y,x) \ (x * K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(6681(a,1),1553(a,2,2,1))]. 6893 (x * ((y * z) / y)) * y != u | (x * z) * T(y,z) = u. [para(6574(a,1),6714(a,1,1))]. 6895 x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. [para(144(a,1),6795(a,1,1))]. 6896 K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u. [para(37(a,2),6817(a,1,2,1))]. 6900 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(6088(a,2),6817(a,1))]. 6901 T(x,T(y,z) \ 1) != u | T(x,(y * z) \ z) = u. [para(37(a,2),6852(a,1,2,1))]. 6902 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(3341(a,1),6900(a,1))]. 6906 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(255,a,2410,a(flip),b,6613,a),flip(a)]. 6907 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(255,a,5413,a(flip),b,6645,a(flip))]. 6908 x * T(y / x,T(x,z)) = T(y,K(x,z)). [para(21(a,1),6907(a,1,1)),flip(a)]. 6909 x \ T(y,K(x,z)) = T(y / x,T(x,z)). [hyper(87,a,6908,a)]. 6911 ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). [hyper(81,a,6730,a(flip),b,122,a)]. 6914 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(255,a,5009,a(flip),b,6769,a(flip)),flip(a)]. 6915 K((x \ 1) \ y,x) = K(x * y,x). [hyper(22,a,6792,a(flip),b,6769,a(flip))]. 6916 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6769(a,1),5026(a,1,1))]. 6917 K((1 / x) \ y,x) = K(x * y,x). [hyper(255,a,5755,a,b,6915,a(flip)),flip(a)]. 6918 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(255,a,3337,a,b,6816,a)]. 6922 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(6666(a,1),6882(a,1,1)),flip(a)]. 6927 L(x * y,K(y * x,z),u) = x * y. [para(18(a,1),6737(a,2,1))]. 6928 (x * K(y * z,u)) * (z * y) = x * (K(y * z,u) * (z * y)). [para(6927(a,1),112(a,1,2))]. 6929 (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. [para(6740(a,1),224(a,1,2))]. 6931 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(881(a,1),6832(a,1,2))]. 6933 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(832(a,1),6832(a,1,2))]. 6934 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(5513(a,1),6832(a,1))]. 6936 T(K(x / y,z),x) != u | K(y \ x,z) = u. [para(5962(a,2),6934(a,1))]. 6939 K(x / y,x) != z | K(y \ x,x) = z. [para(3139(a,1),6936(a,1))]. 6941 T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. [para(5608(a,1),6838(a,1,1))]. 6942 T(x,L(y \ 1,y,z) \ 1) = T(x,y). [para(18(a,1),6858(a,2,2))]. 6943 T(x,x \ T(x * y,y \ 1)) = T(x,y). [hyper(255,a,6242,a,b,6942,a(flip)),flip(a)]. 6945 T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,y). [para(21(a,1),6943(a,1,2,2,1))]. 6947 T(x * T(y,z),K(z,y)) != u | K(y,z) * (x * y) = u. [para(6618(a,1),6871(a,1,1))]. 6949 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(3052(a,1),6612(a,1,2,1)),flip(a)]. 6950 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(37(a,2),6615(a,1,2,2))]. 6951 T(K(x,y),y * z) = K(x,T(y,z)). [hyper(22,a,6090,a,b,6950,a),flip(a)]. 6952 T(K(x,y),z * y) = K(x,T(y,z)). [hyper(255,a,6298,a,b,6951,a(flip)),flip(a)]. 6953 K(x,T(y,y \ z)) = T(K(x,y),z). [para(19(a,1),6951(a,1,2)),flip(a)]. 6954 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(6951(a,1),127(a,1,2))]. 6955 K(x,y) * K(y,T(x,z)) != u | K(x * z,K(x,y)) = u. [para(6951(a,1),6116(a,1,2))]. 6956 K(x,T(y,z / y)) = T(K(x,y),z). [para(21(a,1),6952(a,1,2)),flip(a)]. 6957 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(255,a,5900,a(flip),b,6954,a)]. 6958 K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). [hyper(255,a,5053,a,b,6652,a),flip(a)]. 6960 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(162(a,2),6706(a,1,1,1))]. 6965 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(5147(a,1),6754(a,1,2))]. 6966 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(6934,a,6756,a),flip(a)]. 6967 (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. [hyper(6674,a,6772,a)]. 6968 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))). [para(6772(a,1),4154(a,1,2,2)),flip(a)]. 6970 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(22,a,6773,a,b,6775,a)]. 6971 (x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z). [para(6775(a,1),6670(a,1,1))]. 6972 1 / K((x * y) \ z,x) = K(x,(y * x) \ z). [para(6970(a,1),5394(a,1,2))]. 6973 K(x,(y * x) \ z) = K(x,(x * y) \ z). [hyper(5395,a,6972,a),flip(a)]. 6974 K(x,(y * x) \ z) != u | K(x,(x * y) \ z) = u. [para(6972(a,1),5395(a,1))]. 6975 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5726(a,1),6791(a,1,2))]. 6976 R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). [para(6975(a,1),160(a,2,2))]. 6977 R(x,K(y,z),T(z,u)) = x. [hyper(454,a,6806,a)]. 6978 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [hyper(5918,a,6834,a)]. 6980 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5763(a,1),6914(a,2,2))]. 6981 T(x / y,(x / y) \ T(x,y \ 1)) = y \ x. [hyper(255,a,129,a(flip),b,6945,a)]. 6982 T(x,y \ 1) / (y \ x) = (x / y) \ T(x,y \ 1). [para(6981(a,1),199(a,1,2))]. 6983 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(255,a,6823,a(flip),b,6965,a(flip))]. 6984 (x \ y) * K((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(6967(a,1),6675(a,1,1)),flip(b)]. 6985 T(x,(y \ 1) \ 1) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(3371(a,1),6982(a,2,2))]. 6986 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [hyper(255,a,6612,a(flip),b,6604,a(flip)),flip(a)]. 6987 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(6587,a,6986,a),flip(a)]. 6988 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(19(a,1),6986(a,2,2,1))]. 6989 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(19(a,1),6986(a,2,2,2))]. 6990 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(73(a,1),6986(a,1,1,2)),flip(a)]. 6991 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(114(a,2),6986(a,2,2))]. 6992 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(19(a,1),6987(a,1,2,1)),flip(a)]. 6994 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [para(6987(a,1),5252(a,2,2))]. 6995 K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). [para(5608(a,1),6987(a,1,2,1)),flip(a)]. 6996 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(255,a,6439,a(flip),b,6992,a(flip))]. 6997 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(6293(a,2),6992(a,1,2,1))]. 6998 K(x,L(y \ z,y,K(z,u))) = K(x,y \ z). [hyper(255,a,4398,a(flip),b,6991,a(flip))]. 6999 L(K(x,y \ z),z,y \ 1) = K(x,(1 / y) * z). [para(3052(a,1),6991(a,2,2))]. 7000 K(x,(K(y,z) * u) \ T(y,z)) = K(x,u \ y). [para(5345(a,1),6998(a,1,2))]. 7001 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(255,a,5252,a,b,6994,a)]. 7002 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(19(a,1),7001(a,1,2,1)),flip(a)]. 7004 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(6988(a,1),45(a,2,1))]. 7005 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(6988(a,1),112(a,1,2))]. 7006 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(19(a,1),6990(a,1,2,2))]. 7007 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(116(a,2),6990(a,1,2))]. 7008 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [hyper(255,a,6483,a,b,7007,a)]. 7009 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(20(a,1),7007(a,1,2,2)),flip(a)]. 7010 L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)). [para(6659(a,1),7007(a,1,2,2)),flip(a)]. 7011 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(5004,a,7009,a),flip(a)]. 7012 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(255,a,6581,a,b,7009,a(flip)),flip(a)]. 7015 T(x,K(y,L(x,z,u))) = x. [para(7009(a,1),3223(a,1,2))]. 7017 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(7008(a,2),6486(a,1))]. 7018 L(K(x,y \ z),z,y \ 1) = K(x,(y \ 1) * z). [hyper(255,a,5807,a(flip),b,6999,a)]. 7019 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). [para(437(a,1),7011(a,1,2)),flip(a)]. 7020 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(7009(a,1),7012(a,1,1))]. 7021 K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. [para(70(a,1),7017(a,1,2,2))]. 7022 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(116(a,1),7017(a,1,2))]. 7024 (x * K(y,z)) \ (x * T(y,u)) = K(z,y) * T(y,u). [para(6977(a,1),6697(a,1,1))]. 7025 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [para(7024(a,1),298(a,1,2))]. 7026 (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). [para(3360(a,1),7025(a,1,2)),flip(a)]. 7027 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(5540(a,1),7025(a,1,2)),flip(a)]. 7028 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(5541(a,1),7025(a,1,2)),flip(a)]. 7029 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(7028(a,1),6663(a,1,1)),flip(a)]. 7030 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(255,a,6774,a(flip),b,6761,a(flip)),flip(a)]. 7031 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(255,a,5889,a(flip),b,7030,a)]. 7032 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(19(a,1),7030(a,2,1,1))]. 7033 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(19(a,1),7030(a,2,1,2))]. 7034 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(73(a,1),7030(a,1,1,1)),flip(a)]. 7035 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(127(a,1),7030(a,2,1,2))]. 7036 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(114(a,2),7030(a,2,1))]. 7037 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(5608(a,1),7030(a,2,1,1))]. 7038 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(6915(a,1),7030(a,1,1))]. 7039 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(1977(a,2),7036(a,2,1))]. 7040 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(3052(a,1),7036(a,2,1))]. 7041 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(255,a,7020,a(flip),b,7032,a(flip)),flip(a)]. 7042 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(255,a,6988,a(flip),b,7032,a(flip)),flip(a)]. 7043 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(255,a,6572,a(flip),b,7032,a(flip)),flip(a)]. 7044 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(116(a,2),7034(a,1,1))]. 7045 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(255,a,33,a(flip),b,7044,a)]. 7046 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(20(a,1),7044(a,1,1,2)),flip(a)]. 7047 K(L(x,y,z),y * x) = K(x,y * x). [hyper(255,a,6572,a(flip),b,7046,a(flip))]. 7048 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(7046(a,1),485(a,1,2))]. 7049 K(L(x,y,z),y * x) = K(x,x * y). [hyper(255,a,5842,a(flip),b,7047,a)]. 7050 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [hyper(5004,a,7040,a),flip(a)]. 7051 L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z). [hyper(255,a,5756,a(flip),b,7040,a)]. 7052 K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). [para(70(a,1),7050(a,1,1,1)),flip(a)]. 7053 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(6677,a,7048,a)]. 7054 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(7048(a,1),6700(a,1)),flip(a)]. 7056 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(6848(a,1),636(a,1))]. 7057 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [hyper(255,a,5816,a(flip),b,6949,a)]. 7058 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1723(a,1),6960(a,2,2))]. 7063 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(114(a,1),7021(a,1,2))]. 7064 K(x,(y * z) \ u) != w | L(K(x,z \ (y \ u)),y \ u,y) = w. [para(241(a,1),7021(a,1,2))]. 7065 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(255,a,6745,a(flip),b,7029,a(flip)),flip(a)]. 7066 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(255,a,3764,a(flip),b,7033,a(flip))]. 7067 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(7033(a,1),418(a,1,2)),flip(a)]. 7068 L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). [para(6915(a,1),7033(a,1,1))]. 7069 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6983(a,1),7033(a,1,1))]. 7070 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(255,a,5416,a,b,7066,a(flip)),flip(a)]. 7071 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(7045(a,2),431(a,1))]. 7072 K(L(x \ y,x,z),u) != w | L(K(x \ y,u),y,z) = w. [para(70(a,1),7071(a,1,1,2))]. 7073 K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1). [para(73(a,1),7057(a,1,1,2)),flip(a)]. 7074 K((x * y) \ (x * z),u) != w | L(K(y \ z,u),z,x) = w. [para(114(a,1),7072(a,1,1))]. 7075 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2545(a,2),6606(a,1,2))]. 7076 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(6475(a,1),6671(a,1,1,2))]. 7077 (x * L(K(y,z),u,w)) * L(K(z,y),u,w) = x. [para(7076(a,1),19(a,1,2))]. 7078 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(7076(a,1),70(a,1,2))]. 7079 x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. [para(7076(a,1),94(a,1,2)),flip(b)]. 7081 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(112(a,1),7076(a,1,1))]. 7082 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(418(a,1),7076(a,1,1))]. 7083 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(209,a,7077,a),flip(a)]. 7084 x / L(L(K(y,z),u,w),K(z,y),v5) = x * L(K(z,y),u,w). [para(6683(a,2),7078(a,1,2))]. 7085 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(7083(a,1),24(a,1)),flip(a)]. 7086 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(7083(a,1),222(a,1,2)),flip(b)]. 7088 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(80,a,6776,a(flip),b,6643,a(flip))]. 7089 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(73(a,1),7088(a,1,2,1,2,1)),flip(a)]. 7090 R(x,K(y,z),R(z,u,w)) = x. [hyper(454,a,6807,a)]. 7091 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(255,a,6701,a(flip),b,7090,a(flip)),flip(a)]. 7092 R(x,K(y,z),L(z,u,w)) = x. [hyper(454,a,6808,a)]. 7093 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (y \ z)) \ u). [para(881(a,1),6827(a,1,1,2))]. 7094 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(832(a,1),6827(a,1,1,2))]. 7095 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1743(a,1),6827(a,1,1,2))]. 7096 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(255,a,45,a,b,6847,a)]. 7101 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1423(a,1),6996(a,1,2)),flip(a)]. 7102 (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. [para(7026(a,1),3989(a,1,1)),flip(a)]. 7103 ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). [hyper(80,a,7052,a(flip),b,2516,a)]. 7104 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(5216(a,1),7096(a,2,1))]. 7105 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(449(a,2),6602(a,1,2))]. 7106 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(255,a,7081,a(flip),b,6678,a)]. 7107 K(L(x,y,z) \ 1,u) != w | L(K(x \ 1,u),y,z) = w. [para(6684(a,1),7086(a,1))]. 7108 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(6725(a,2),5453(a,1))]. 7109 T(x,y \ (z * x)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(7002(a,1),6768(a,1,1))]. 7110 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(6965(a,1),6931(a,1))]. 7113 (x / (K(y,z) * L(K(z,y),u,w))) * K(y,z) = x * L(K(y,z),u,w). [hyper(255,a,316,a(flip),b,7084,a(flip)),flip(a)]. 7114 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(73(a,1),6828(a,1,1,1,2,1))]. 7115 K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). [para(5547(a,1),6829(a,1,1,1)),flip(a)]. 7116 (x * K(y * z,u)) * (z * y) = x * (K(z,y) * T(y * z,u)). [para(6958(a,1),6928(a,2,2))]. 7117 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(3371(a,1),6985(a,1,1))]. 7118 ((x / (y \ 1)) \ T(x,y)) \ T(x,y) = (y \ 1) \ x. [para(7117(a,1),73(a,1,1))]. 7119 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(7005(a,1),24(a,1)),flip(a)]. 7120 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(59(a,1),7042(a,2,1))]. 7121 K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). [para(1309(a,1),7042(a,2,1))]. 7122 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(7067(a,2),6693(a,1,1))]. 7124 T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). [para(7115(a,2),19(a,1,2))]. 7125 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [hyper(255,a,5608,a(flip),b,7116,a)]. 7126 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(23,a,6197,a,b,7125,a),flip(a)]. 7127 (x * y) * (K(y,x) * K(y * x,z)) = T(y * x,z). [para(7126(a,1),19(a,1,2))]. 7129 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(6653(a,1),5636(a,1,1))]. 7130 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(466,a,7129,a),flip(a)]. 7131 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5608(a,1),5663(a,1,2,2)),flip(a)]. 7132 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6382(a,1),5868(a,1,1))]. 7133 (1 / x) * (L(x,y,z) \ x) = 1 / L(x,y,z). [hyper(255,a,6192,a(flip),b,6188,a(flip))]. 7136 (1 / x) * ((L(x,y,z) \ 1) * x) = T(1 / L(x,y,z),x). [para(7133(a,1),1432(a,1,1)),flip(a)]. 7137 (x \ 1) \ T(1 / L(x,y,z),x) = (L(x,y,z) \ 1) * T(x,x \ 1). [hyper(80,a,7136,a(flip),b,3087,a)]. 7139 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(255,a,325,a(flip),b,6473,a)]. 7141 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(1150(a,1),7139(a,1,2))]. 7142 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(42,a,7141,a)]. 7143 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(40,a,7142,a)]. 7144 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(1153(a,2),7143(a,1,1))]. 7145 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(7144(a,1),4423(a,1,2)),flip(a)]. 7146 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(255,a,3739,a(flip),b,7145,a)]. 7147 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(1153(a,1),7146(a,1,1))]. 7148 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4564(a,1),6554(a,1,1)),flip(a)]. 7149 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(255,a,4141,a(flip),b,7148,a)]. 7150 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(23,a,5444,a,b,7149,a)]. 7151 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(255,a,5736,a,b,7150,a)]. 7152 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4624(a,1),7151(a,1,2))]. 7153 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(7152(a,1),73(a,1,1))]. 7154 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5736(a,1),7153(a,1,1))]. 7155 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(5217(a,2),7154(a,1,1,2))]. 7156 ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). [para(6663(a,1),6911(a,1,2))]. 7157 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [hyper(466,a,7156,a),flip(a)]. 7158 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [para(5268(a,1),7157(a,1,2)),flip(a)]. 7163 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(255,a,7033,a(flip),b,7069,a(flip))]. 7164 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(19(a,1),7163(a,2,1,1))]. 7165 K(((x \ y) * x) \ z,y) = K(y \ z,y). [para(70(a,1),7164(a,1,1,1,2))]. 7166 T(x,((y \ x) * y) \ z) = (u * K(x \ z,x)) \ (u * x). [para(7165(a,1),6784(a,1,1,2)),flip(a)]. 7167 T(x,((y \ x) * y) \ z) = T(x,x \ z). [hyper(255,a,5204,a,b,7166,a)]. 7168 T(x,x \ T(y,y \ x)) = T(x,x \ y). [para(6064(a,1),7167(a,1,2))]. 7169 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(7168(a,1),199(a,1,2))]. 7170 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [hyper(255,a,601,a(flip),b,7169,a(flip)),flip(a)]. 7171 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [hyper(255,a,5639,a(flip),b,7170,a(flip))]. 7172 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5683(a,1),5356(a,1,2))]. 7173 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(6282(a,1),5648(a,1,1))]. 7174 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(255,a,4829,a(flip),b,7173,a(flip))]. 7175 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1424(a,1),7174(a,1,2,1))]. 7176 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [para(7175(a,1),73(a,1,1)),flip(a)]. 7177 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(313,a,7176,a)]. 7178 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(87,a,7176,a)]. 7179 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(7176(a,1),3455(a,1,2)),flip(a)]. 7180 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5774(a,1),5776(a,1,1))]. 7183 (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). [para(3702(a,1),7180(a,1,1,2)),flip(a)]. 7184 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3702(a,1),7183(a,1,2)),flip(a)]. 7186 K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). [hyper(255,a,6050,a(flip),b,6016,a(flip))]. 7187 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(255,a,6707,a(flip),b,7186,a)]. 7188 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(6934,a,7187,a)]. 7189 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(7188(a,1),5394(a,1,2)),flip(a)]. 7190 x / K(y \ x,T(x,z)) != u | T(x,T(y,z) \ T(x,z)) = u. [para(7188(a,1),5201(a,1,2))]. 7191 K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). [hyper(255,a,5394,a(flip),b,7189,a)]. 7192 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(19(a,1),6233(a,1,1,2,2,1))]. 7193 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(255,a,5786,a(flip),b,7192,a)]. 7194 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(7193(a,1),474(a,1,1))]. 7195 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(6386(a,1),6384(a,1,1))]. 7196 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(6458(a,1),19(a,1,2))]. 7197 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(255,a,49,a(flip),b,6498,a)]. 7198 x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). [para(5184(a,2),6514(a,1,2)),flip(a)]. 7199 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(255,a,5286,a(flip),b,7198,a)]. 7200 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(3481(a,1),7199(a,1,2))]. 7201 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [para(7200(a,1),73(a,1,1))]. 7202 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(4395(a,1),6523(a,1,1)),flip(a)]. 7203 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(6146,a,7202,a)]. 7205 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(73(a,1),7203(a,1,1,2,1)),flip(a)]. 7206 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(120(a,2),7203(a,1,1))]. 7207 K(R(x,x \ 1,y),z) = K(x,z). [hyper(255,a,332,a(flip),b,7206,a)]. 7208 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(18(a,1),7206(a,1,1,2)),flip(a)]. 7209 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(7206(a,2),122(a,1,1))]. 7210 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5555(a,1),7206(a,1,1,2))]. 7211 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(7206(a,1),6670(a,1,1,2)),flip(a)]. 7212 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [hyper(255,a,6327,a(flip),b,7207,a)]. 7213 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(7208(a,1),51(a,1,1)),flip(a)]. 7214 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(21(a,1),7205(a,2,1,2))]. 7215 K((x * y) / z,x) = K(x / (z / y),x). [hyper(255,a,5911,a(flip),b,7214,a(flip))]. 7216 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(255,a,6128,a(flip),b,7215,a)]. 7217 K((x * y) / z,x) != u | K((z / y) \ x,x) = u. [para(7215(a,2),6939(a,1))]. 7218 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(255,a,6377,a(flip),b,7211,a(flip))]. 7219 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [para(7218(a,1),19(a,1,2))]. 7221 K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. [para(5561(a,1),6524(a,1,1,1)),flip(a)]. 7222 K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). [hyper(255,a,5007,a(flip),b,7221,a)]. 7223 K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). [hyper(255,a,5786,a(flip),b,7222,a(flip)),flip(a)]. 7224 K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). [para(4752(a,1),7223(a,1,2))]. 7225 K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). [hyper(255,a,7089,a,b,7224,a),flip(a)]. 7226 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(686,a,6528,a)]. 7227 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(7226(a,1),6477(a,1,1,1)),flip(a)]. 7228 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(255,a,5967,a(flip),b,7227,a)]. 7229 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(5147(a,1),7095(a,1,1,2))]. 7230 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(6629(a,1),7114(a,1,1,1)),flip(a)]. 7231 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(7230(a,2),19(a,1,2))]. 7232 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)). [para(6735(a,1),7230(a,2,1))]. 7233 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(7231(a,1),6670(a,1,1)),flip(a)]. 7234 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(6722(a,1),7231(a,1,2,2))]. 7235 R(x * K(y,z),K(y,u),K(z,y)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(80,a,7234,a(flip),b,122,a)]. 7236 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(6672(a,1),7234(a,1,1,1))]. 7237 ((x * K(y,z)) * K(z,u)) / (K(z,u) * K(y,z)) = R(x,K(z,u),K(y,z)). [hyper(81,a,7236,a(flip),b,122,a)]. 7238 (x * y) \ ((x * K(z \ x,u)) * y) = K((z * y) \ (x * y),u). [para(70(a,1),7233(a,1,1,1,1)),flip(a)]. 7239 (x * y) * K((z * y) \ (x * y),u) = (x * K(z \ x,u)) * y. [para(7238(a,1),19(a,1,2))]. 7240 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(22,a,6573,a(flip),b,7239,a)]. 7242 (x * (y * K(z \ u,y))) \ (x * y) = K(y,(z * y) \ (u * y)). [para(7240(a,1),6685(a,1,1,2,2))]. 7244 K(x,(y * x) \ (z * x)) = K(x,y \ z). [hyper(6799,a,7242,a),flip(a)]. 7245 K(x,(x * y) \ (z * x)) = K(x,y \ z). [hyper(6974,a,7244,a)]. 7246 K(x,(y / x) \ z) = K(x,y \ (z * x)). [para(21(a,1),7244(a,1,2,1)),flip(a)]. 7247 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [para(19(a,1),7245(a,1,2,1)),flip(a)]. 7248 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [para(7246(a,1),6989(a,1,1))]. 7249 K(x,(y / x) \ z) = K(x,(x \ y) \ z). [hyper(255,a,7246,a,b,7247,a),flip(a)]. 7250 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(18(a,1),7247(a,1,2)),flip(a)]. 7251 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(7247(a,1),6989(a,1,1))]. 7252 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [hyper(255,a,3312,a,b,7248,a)]. 7253 L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(2374(a,2),7248(a,2,2,1,2))]. 7254 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(255,a,7248,a(flip),b,7251,a(flip)),flip(a)]. 7255 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(7254(a,1),5602(a,1,2,2))]. 7256 L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(7254(a,1),6989(a,1,1))]. 7257 (L(x,y,z) \ 1) * T(x,x \ 1) = (x \ 1) \ (L(x,y,z) \ 1). [para(6328(a,1),7137(a,1,2)),flip(a)]. 7258 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(255,a,5089,a(flip),b,7257,a(flip))]. 7259 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(3196,a,7258,a)]. 7260 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [para(7258(a,1),19(a,1,2))]. 7261 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(255,a,7147,a,b,7260,a),flip(a)]. 7262 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2564,a,7261,a)]. 7263 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(5272(a,1),7172(a,1,2,2)),flip(a)]. 7264 L(L(x,y,z),z * y,K(y,z)) = L(x,T(y,z),z). [hyper(255,a,178,a(flip),b,7263,a)]. 7266 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(255,a,7093,a(flip),b,7229,a(flip))]. 7267 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(19(a,1),7266(a,2,2,1))]. 7268 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(70(a,1),7266(a,1,2,1,2)),flip(a)]. 7269 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(314(a,1),7268(a,1,2,1)),flip(a)]. 7270 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(6667(a,1),7269(a,1,2,1))]. 7271 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(5203(a,1),7270(a,1,2,1)),flip(a)]. 7272 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(7255(a,1),5694(a,1))]. 7273 L(T(x,y),T(z,x),K(x,z)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(5182(a,2),5231(a,1,1,3))]. 7274 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [para(5910(a,1),7273(a,1,1)),flip(a)]. 7275 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(5538(a,2),7274(a,1,2))]. 7278 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(5439(a,1),703(a,2,1)),flip(a)]. 7279 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5828,a,7278,a)]. 7280 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(5441(a,1),918(a,1,1,1))]. 7281 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(848(a,1),5529(a,1,2))]. 7282 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(775(a,2),5644(a,1,2,2,1))]. 7283 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(5906(a,1),5914(a,1,2))]. 7284 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. [hyper(255,a,127,a(flip),b,6339,a)]. 7287 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(3837(a,2),6340(a,2,2))]. 7288 ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). [para(1299(a,1),6350(a,1,2))]. 7289 K((x / y) \ 1,z \ (y / x)) = K(y / x,((z * x) / y) \ 1). [hyper(255,a,6001,a(flip),b,6401,a(flip)),flip(a)]. 7290 K((x / y) \ 1,z \ (y / x)) = K(y / x,y / (z * x)). [hyper(255,a,5786,a(flip),b,7289,a)]. 7292 K(x / y,x / (z * y)) != u | K(x / y,z \ (x / y)) = u. [para(7290(a,1),6146(a,1))]. 7293 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(4177(a,1),6503(a,2,2))]. 7294 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(255,a,4183,a(flip),b,7293,a(flip))]. 7295 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3371(a,1),7294(a,1,2,2)),flip(a)]. 7296 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(3371(a,1),7295(a,1,1,1)),flip(a)]. 7297 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [para(7296(a,1),73(a,1,1))]. 7298 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(129(a,1),7297(a,1,1,1,1))]. 7299 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(129(a,1),7298(a,2,2))]. 7300 K(x,y \ z) * K((z \ y) \ x,x) = x \ R(x,(z \ y) \ 1,x). [para(5734(a,1),6611(a,1,2))]. 7301 K(x,y \ z) * K(y \ (z * x),x) = x \ R(x,(z \ y) \ 1,x). [para(7043(a,1),7300(a,1,2))]. 7302 (x * (y * T(z,y))) \ ((x * y) * T(z,y)) = a(x,y * K(z,y),z). [para(6730(a,1),6724(a,1,2))]. 7303 a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. [para(7302(a,1),636(a,1))]. 7304 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6821(a,2),6933(a,1))]. 7305 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(7082(a,1),7122(a,1))]. 7306 L(K(x,y),z \ u,z) != w | K(x,(z * ((z \ u) / y)) \ u) = w. [para(73(a,1),7305(a,1,1,2))]. 7308 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (y / x)) \ u) = w. [para(7246(a,1),7305(a,1,1))]. 7309 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. [para(7247(a,1),7305(a,1,1))]. 7310 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(255,a,7208,a(flip),b,7195,a(flip))]. 7311 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(7310(a,1),5605(a,1,2,1)),flip(a)]. 7312 R(x,K(y,z),K(u,y)) = R(x,K(u,y),K(y,z)). [hyper(2087,a,7237,a),flip(a)]. 7313 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(2216(a,1),7282(a,1,2))]. 7314 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(255,a,7284,a(flip),b,7287,a(flip))]. 7315 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [para(7314(a,1),73(a,1,1))]. 7316 R(x,K(y \ 1,z),y) != u | R(x,y,K(y \ 1,z)) = u. [para(7288(a,1),466(a,1))]. 7317 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(7311(a,2),5613(a,1))]. 7318 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). [para(3989(a,1),4913(a,1,2,1)),flip(a)]. 7319 T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). [hyper(255,a,5103,a(flip),b,7318,a(flip))]. 7321 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(80,a,5294,a(flip),b,5225,a),flip(a)]. 7322 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(5380(a,1),5908(a,1,1))]. 7323 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3461(a,1),6134(a,1,3))]. 7324 T(x,y) \ (1 / (1 / T((T(z,x) * x) / T(z,x),y))) = (T(T(x,z),y) \ 1) * T(x,y). [para(4459(a,1),6325(a,2,1,1))]. 7325 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(6107(a,1),6344(a,1,2))]. 7326 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(73(a,1),6549(a,1,1,1,1,2)),flip(a)]. 7327 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6707(a,1),7326(a,1,2))]. 7328 K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). [hyper(22,a,3974,a,b,7327,a),flip(a)]. 7329 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5763(a,1),7327(a,1,2))]. 7330 K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). [para(70(a,1),7328(a,2,1,2))]. 7331 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). [hyper(255,a,3879,a,b,7330,a(flip)),flip(a)]. 7332 (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). [para(3187(a,1),7331(a,1,1,2))]. 7333 K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). [hyper(4043,a,7332,a),flip(a)]. 7334 K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). [para(128(a,2),7333(a,1,2,2))]. 7335 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). [hyper(255,a,5891,a(flip),b,7334,a(flip))]. 7336 K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). [hyper(255,a,7019,a(flip),b,7335,a(flip))]. 7337 K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). [hyper(255,a,7328,a,b,7336,a(flip)),flip(a)]. 7338 (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). [para(935(a,1),6550(a,1,1))]. 7339 (1 / x) * ((x \ y) \ T((x \ y) * x,x)) = (x \ T(y,x)) * ((x \ y) \ 1). [para(1677(a,1),7338(a,1,1)),flip(a)]. 7343 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6618(a,1),6650(a,1,2)),flip(a)]. 7344 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(255,a,35,a,b,7343,a)]. 7345 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(7343(a,2),466(a,1))]. 7346 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(255,a,51,a,b,7344,a(flip)),flip(a)]. 7347 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(6041(a,1),6980(a,2,2))]. 7348 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(127(a,1),7094(a,1,1,2,2))]. 7349 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(5145(a,2),7348(a,1,1))]. 7350 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(5311(a,1),7104(a,1,1,2))]. 7351 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(5284(a,1),7350(a,1,2,2))]. 7352 (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(7259(a,1),4020(a,2,1)),flip(a)]. 7353 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(7251(a,1),7308(a,1))]. 7354 K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. [para(7248(a,1),7309(a,1))]. 7355 (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). [para(5060(a,1),7339(a,1,2)),flip(a)]. 7356 K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). [hyper(255,a,5442,a,b,7355,a),flip(a)]. 7357 (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). [para(18(a,1),7356(a,2,2,1)),flip(a)]. 7358 (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). [para(5600(a,1),7357(a,1,2))]. 7359 K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). [para(7224(a,2),7358(a,1,1))]. 7360 K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). [para(17(a,1),7359(a,1,2))]. 7361 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(255,a,7329,a(flip),b,7347,a)]. 7362 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(255,a,5055,a(flip),b,5068,a(flip))]. 7363 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(4058(a,2),5070(a,1,1))]. 7366 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(6086(a,1),6089(a,1,3)),flip(a)]. 7367 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(7366(a,1),25(a,1))]. 7368 ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). [hyper(5484,a,6330,a),flip(a)]. 7369 (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). [para(1952(a,1),7368(a,1,1))]. 7370 (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. [hyper(255,a,6449,a(flip),b,7369,a)]. 7371 (R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1. [hyper(255,a,6452,a(flip),b,7370,a(flip)),flip(a)]. 7372 T(R(x,y,z) \ x,x \ 1) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(172,a,7371,a,b,19,a)]. 7374 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(255,a,6136,a(flip),b,7372,a)]. 7375 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(41,a,7374,a)]. 7376 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(7375(a,1),5309(a,1,1,1))]. 7377 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). [para(7376(a,1),2168(a,1,1)),flip(a)]. 7378 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(255,a,5786,a(flip),b,6397,a)]. 7379 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(255,a,6363,a(flip),b,7378,a(flip)),flip(a)]. 7380 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(5583(a,1),7379(a,1,1))]. 7381 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(255,a,7208,a(flip),b,7380,a(flip))]. 7382 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(19(a,1),7381(a,1,2,1,1)),flip(a)]. 7383 K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). [para(5904(a,1),7381(a,1,2,1))]. 7384 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(255,a,7206,a(flip),b,7382,a(flip))]. 7387 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(6741(a,1),6743(a,2,2))]. 7388 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(18(a,1),7280(a,2,1,1))]. 7389 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(5116(a,2),7362(a,1,2))]. 7390 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(230,a,7363,a),flip(a)]. 7391 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(7070(a,1),7390(a,2,1))]. 7392 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(7391(a,1),6237(a,1,2)),flip(a)]. 7393 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(255,a,5605,a(flip),b,7392,a)]. 7395 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(255,a,6429,a(flip),b,7393,a(flip)),flip(a)]. 7396 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(255,a,5585,a(flip),b,7393,a(flip)),flip(a)]. 7397 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(255,a,6402,a,b,7396,a(flip)),flip(a)]. 7398 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [hyper(255,a,4672,a(flip),b,7387,a)]. 7399 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(224,a,7389,a),flip(a)]. 7400 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(7397(a,1),7399(a,2,2))]. 7402 (x \ (y * (T(z,x) \ z))) * x = ((x \ y) * x) * (T(z,x) \ z). [para(167(a,1),5052(a,1,1)),flip(a)]. 7404 ((x \ y) * x) * (T(z,x) \ z) = (x \ (y * K(x,z))) * x. [para(5177(a,2),7402(a,1,1,2,2)),flip(a)]. 7405 (x \ (y * K(x,z))) * x = ((x \ y) * x) * K(x,z). [para(5177(a,2),7404(a,1,2)),flip(a)]. 7407 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(23,a,6719,a,b,7405,a)]. 7408 x * ((x \ y) * K(x,z)) = y * K(x,z). [para(7407(a,1),19(a,1,2))]. 7410 (x * y) * K(x,z) = x * (y * K(x,z)). [para(18(a,1),7408(a,1,2,1)),flip(a)]. 7411 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(7119,a,7410,a),flip(a)]. 7412 R(x,y,K(x,z)) = x. [hyper(454,a,7410,a)]. 7413 L(K(x,y),z,x) = K(x,y). [hyper(422,a,7410,a)]. 7416 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(7410(a,1),6663(a,1,1))]. 7417 R(T(x,y),z,K(x,u)) = T(x,y). [para(7412(a,1),47(a,2,1))]. 7418 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(7412(a,1),51(a,1,1)),flip(a)]. 7419 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(7412(a,1),459(a,1,1,1)),flip(a)]. 7420 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(7412(a,1),460(a,1,1,1)),flip(a)]. 7421 R(K(x,y),z,K(y,u)) = K(x,y). [para(7412(a,1),6377(a,1,2)),flip(a)]. 7424 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(7305,a,7413,a)]. 7426 a(x,y,K(x,z)) = 1. [hyper(39,a,7413,a)]. 7427 K(L(x,y,x),z) = K(x,z). [hyper(255,a,7046,a(flip),b,7413,a(flip)),flip(a)]. 7428 K(x,L(y,z,x)) = K(x,y). [hyper(255,a,7009,a(flip),b,7413,a(flip)),flip(a)]. 7431 K(T(x / (x / y),x),z) = K(y,z). [para(4593(a,2),7427(a,1,1))]. 7432 K(R(x,y,x),z) = K(x,z). [para(4816(a,1),7427(a,1,1)),flip(a)]. 7433 T(x,L(y,z,y)) = x / K(y,x). [para(7427(a,1),5197(a,2,2))]. 7434 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(7427(a,1),5336(a,1,1))]. 7435 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(50(a,1),7428(a,1,2))]. 7436 K(x,(x \ 1) \ y) = K(x,x * y). [para(437(a,1),7428(a,1,2)),flip(a)]. 7437 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(677(a,1),7428(a,1,2)),flip(a)]. 7438 L(x * K(y,x),z,y) = L(x,z,y) * K(y,x). [para(7428(a,1),5984(a,1,2)),flip(a)]. 7439 K(x,K(y,L(z,u,x))) = K(x,K(y,z)). [para(7009(a,1),7428(a,1,2))]. 7440 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(7428(a,1),7046(a,1,1)),flip(a)]. 7441 K(x,(y * (x / y)) \ (x * z)) = K(x,K(y \ x,y) * z). [para(7131(a,1),7428(a,1,2))]. 7442 R(K(x,y),z,x) = K(x,y). [hyper(255,a,7206,a(flip),b,7432,a(flip)),flip(a)]. 7443 K(T(x,x \ y),z) = K(T(x,y),z). [para(4642(a,1),7432(a,1,1))]. 7444 R(x,y,x) * K(x,z) = T(R(x,y,x),z). [para(7432(a,1),5252(a,2,2)),flip(a)]. 7445 x * K(R(x,y,x),z) = T(x,z). [para(7432(a,2),5252(a,2,2)),flip(a)]. 7446 K(x,R(y,z,y)) = 1 / K(y,x). [para(7432(a,1),5394(a,1,2)),flip(a)]. 7449 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(7432(a,1),5592(a,1,1))]. 7450 (K(x,y) * z) * x = K(x,y) * (z * x). [para(7432(a,1),7209(a,1,1)),flip(a)]. 7451 K(x,R(y,z,x)) = K(x,y). [hyper(255,a,6382,a(flip),b,7442,a(flip)),flip(a)]. 7452 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(255,a,6374,a(flip),b,7442,a(flip)),flip(a)]. 7455 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(7442(a,1),5868(a,1,1)),flip(a)]. 7456 T(x,R(y,z,x)) = x * K(x,y). [para(7451(a,1),5252(a,2,2))]. 7457 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(6382(a,1),7451(a,1,2))]. 7464 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(7417(a,1),7346(a,1,1)),flip(a)]. 7465 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(7421(a,1),122(a,1,1)),flip(a)]. 7466 T(x,L(y,z,y)) = T(x,y). [hyper(255,a,5197,a,b,7433,a)]. 7467 T(x,L(y,z,y)) = x * K(x,y). [hyper(255,a,6673,a(flip),b,7433,a)]. 7468 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(6157,a,7466,a),flip(a)]. 7471 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(7466(a,1),127(a,1,2))]. 7473 T(x,T(y / z,y)) = T(x,z \ y). [para(4595(a,1),7466(a,1,2))]. 7474 T(x,R(y,z,y)) = T(x,y). [para(4816(a,1),7466(a,1,2)),flip(a)]. 7475 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(6157,a,7474,a),flip(a)]. 7476 T(x / y,R(y,z,y)) = y \ x. [hyper(255,a,129,a(flip),b,7474,a)]. 7477 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(7474(a,1),127(a,1,2))]. 7479 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4642(a,1),7474(a,1,2))]. 7480 T(x,(y * z) / y) = T(x,y / (y / z)). [para(4824(a,1),7474(a,1,2))]. 7481 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(80,a,7445,a(flip),b,7313,a),flip(a)]. 7482 K(x,R(y,z,y)) = K(x,y). [hyper(255,a,5394,a(flip),b,7446,a)]. 7483 K(x,R(y,z,y)) != u | K(x,y) = u. [para(7446(a,2),5395(a,1))]. 7484 R(K(x,y),z,y) = K(x,y). [hyper(255,a,6396,a(flip),b,7482,a(flip)),flip(a)]. 7485 K(x,T(y,y * z)) = K(x,T(y,z)). [para(4578(a,1),7482(a,1,2)),flip(a)]. 7486 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4642(a,1),7482(a,1,2))]. 7487 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(7482(a,1),5986(a,1,2)),flip(a)]. 7488 (K(x,y) * z) * y = K(x,y) * (z * y). [para(7484(a,1),122(a,1,1)),flip(a)]. 7489 T(x,R(y,z,x)) = T(x,y). [hyper(255,a,5252,a,b,7456,a)]. 7496 T(x,(y * x) / z) = T(x,y / (z / x)). [para(474(a,1),7489(a,1,2))]. 7497 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(682(a,1),7489(a,1,2))]. 7502 K(x,L(y,z,y)) = K(x,y). [hyper(5323,a,7467,a)]. 7503 L(K(x,y),z,y) = K(x,y). [hyper(7017,a,7502,a)]. 7505 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(7304,a,7503,a)]. 7506 K(L(x,y,z),z) = K(x,z). [hyper(255,a,7046,a(flip),b,7503,a(flip)),flip(a)]. 7507 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(255,a,7032,a(flip),b,7503,a(flip))]. 7509 (x * y) * K(z,x) = x * (y * K(z,x)). [para(7503(a,1),112(a,1,2))]. 7513 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(50(a,1),7506(a,1,1))]. 7514 T(x * K(y,x),L(y,z,x)) = x. [para(7506(a,1),5216(a,1,1,2))]. 7515 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(7131(a,1),7506(a,1,1))]. 7516 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(7476(a,1),127(a,1,2))]. 7517 T(x,L(y,z,x)) = T(x,y). [para(7514(a,1),5295(a,1,1)),flip(a)]. 7518 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(241(a,1),7517(a,1,2))]. 7519 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(439(a,1),7517(a,1,2)),flip(a)]. 7520 K((x \ y) \ y,z) = K(T(x,y),z). [para(145(a,1),7431(a,1,1,1)),flip(a)]. 7521 L(K(x,x * (y \ z)),y \ z,y) != u | K(x,(y * (x \ 1)) \ z) = u. [para(7436(a,1),7305(a,1,1))]. 7522 K(T(x,y),z) = T(K(x,z),y). [hyper(255,a,6790,a(flip),b,7443,a(flip))]. 7523 K(T(x,y),y / z) = K(x,z \ y). [hyper(255,a,6599,a(flip),b,7522,a)]. 7524 K(T(x,K(y,z)),y) = K(x,y). [hyper(255,a,2072,a(flip),b,7522,a)]. 7525 x * K(T(y,x),z) = K(y,z) * x. [para(7522(a,2),127(a,1,2))]. 7526 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(7522(a,1),5263(a,2,1)),flip(a)]. 7527 (K(x,y) * z) * K(T(y,z),x) = z. [para(7522(a,2),6750(a,1,2))]. 7528 K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). [para(7524(a,1),5263(a,2,1)),flip(a)]. 7529 T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x). [para(7524(a,1),5707(a,1,2))]. 7530 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(70(a,1),7473(a,1,2,1)),flip(a)]. 7534 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(4642(a,1),7483(a,1,2))]. 7535 K(x,T(y,L(y,z,u) * (y \ w))) = K(x,T(y,L(y,z,u) * w)). [para(1421(a,1),7485(a,1,2,2)),flip(a)]. 7536 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(1990(a,1),7485(a,1,2)),flip(a)]. 7537 K(x,T(y,z * y)) = K(x,T(y,z)). [para(4563(a,2),7485(a,1,2))]. 7539 K(x,T(y,z)) = T(K(x,y),z). [hyper(255,a,6953,a(flip),b,7486,a(flip))]. 7540 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(128(a,1),7486(a,1,2))]. 7541 K(x,T(y * z,y \ 1)) = K(x,T(y * z,z)). [para(4410(a,1),7486(a,1,2))]. 7542 K(T(x,y),z) = K(x,T(z,y)). [hyper(255,a,7522,a,b,7539,a),flip(a)]. 7543 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(255,a,7004,a,b,7539,a),flip(a)]. 7544 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(255,a,6757,a,b,7539,a),flip(a)]. 7546 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [hyper(255,a,6400,a,b,7539,a),flip(a)]. 7547 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(255,a,6388,a,b,7539,a),flip(a)]. 7548 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(255,a,6096,a,b,7539,a),flip(a)]. 7549 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(255,a,6094,a,b,7539,a),flip(a)]. 7550 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). [hyper(255,a,5971,a,b,7539,a),flip(a)]. 7551 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(255,a,5965,a,b,7539,a),flip(a)]. 7552 K(x / y,T(z,x)) = K(y \ x,z). [hyper(255,a,6755,a(flip),b,7539,a)]. 7553 K(x,T(y,K(x,z))) = K(x,y). [hyper(255,a,6106,a(flip),b,7539,a)]. 7554 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(255,a,3341,a(flip),b,7539,a)]. 7555 K(x,T(y,K(z,x))) = K(x,y). [hyper(255,a,2074,a(flip),b,7539,a)]. 7556 T(K(x * y,x),y) = K(x * y,x). [hyper(255,a,5587,a(flip),b,7539,a(flip))]. 7557 T(T(K(x,y),z),u) = T(K(x,T(y,u)),z). [para(7539(a,2),43(a,1,1)),flip(a)]. 7558 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(43(a,1),7539(a,1,2))]. 7559 x * K(y,T(z,x)) = K(y,z) * x. [para(7539(a,2),127(a,1,2))]. 7561 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7539(a,2),565(a,1,2,2))]. 7564 x * T(K(x,y),z) = T(x,T(y,z)). [para(7539(a,1),5252(a,2,2)),flip(a)]. 7565 T(x,K(y,T(z,x))) != u | T(x,K(y,z)) = u. [para(7539(a,2),5718(a,1,2))]. 7566 K(x,y) * (K(z,u) * x) = T(x,y) * K(z,T(u,x)). [para(7539(a,2),5538(a,2,2))]. 7567 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7539(a,2),6090(a,1,2))]. 7568 K(x,T(y,K(z,u))) * K(u,z) = K(u,z) * K(x,y). [para(7539(a,2),6102(a,1,1))]. 7570 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7539(a,2),6098(a,2,1))]. 7571 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7539(a,2),6247(a,2,2))]. 7572 (K(x,y) * z) * K(y,T(x,z)) = z. [para(7539(a,2),6750(a,1,2))]. 7573 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(7539(a,2),6900(a,1))]. 7575 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(5624,a,7542,a)]. 7576 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(255,a,5139,a(flip),b,7542,a)]. 7577 K(x,T(y,z) \ T(x,z)) = K(x,T(y \ x,z)). [hyper(255,a,7191,a,b,7542,a(flip)),flip(a)]. 7579 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(255,a,6052,a,b,7542,a(flip)),flip(a)]. 7580 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(255,a,6790,a(flip),b,7542,a(flip))]. 7581 T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). [hyper(80,a,7542,a(flip),b,5184,a(flip)),flip(a)]. 7582 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(43(a,1),7542(a,2,2))]. 7583 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(47(a,2),7542(a,1,1))]. 7584 K(x / y,T(z,y)) = K(y \ x,z). [para(129(a,1),7542(a,1,1)),flip(a)]. 7585 K(T(x,y),z / y) = K(x,y \ z). [para(129(a,1),7542(a,2,2))]. 7586 K((x * y) / x,T(z,x)) = K(y,z). [para(166(a,1),7542(a,1,1)),flip(a)]. 7587 K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). [para(138(a,1),7542(a,1,1)),flip(a)]. 7588 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(138(a,1),7542(a,2,2))]. 7589 K(T(x,L(y,z,u)),y) = K(x,y). [para(279(a,1),7542(a,2,2))]. 7590 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(402(a,1),7542(a,1,1)),flip(a)]. 7591 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(277(a,1),7542(a,1,1))]. 7592 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(773(a,1),7542(a,1,1)),flip(a)]. 7593 T(x,K(y,T(x,z))) = x. [para(7542(a,1),3140(a,1,2))]. 7594 x / K(y,T(x,z)) = T(x,T(y,z)). [para(7542(a,1),5197(a,2,2)),flip(a)]. 7595 T(x,y) * K(x,T(z,y)) = T(T(x,y),z). [para(7542(a,1),5252(a,2,2)),flip(a)]. 7598 K(x,T(y,K(z,z \ x))) = K(x,y). [para(5661(a,1),7542(a,1,1)),flip(a)]. 7599 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(7542(a,1),5560(a,1,1))]. 7600 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7542(a,1),5623(a,1,1))]. 7601 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(7542(a,1),5337(a,1,1))]. 7603 a(x,y,K(z,T(y,u))) = 1. [para(7542(a,1),6579(a,1,3))]. 7605 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(7542(a,1),6784(a,1,1,2))]. 7607 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7542(a,1),6677(a,1,2))]. 7609 x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). [para(7542(a,1),6741(a,1,2,2))]. 7611 K(x,T(y,K(z,L(x,u,w)))) = K(x,y). [para(7015(a,1),7542(a,1,1)),flip(a)]. 7612 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [para(7542(a,1),7236(a,1,2)),flip(a)]. 7613 K(x,T(y,z)) * y = y * K(x,T(y,z)). [para(7593(a,1),127(a,1,2))]. 7614 T(x / y,K(z,y \ x)) = x / y. [para(129(a,1),7593(a,1,2,2))]. 7615 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(38,a,7603,a)]. 7616 K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). [para(47(a,2),7553(a,1,2))]. 7618 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(129(a,1),7554(a,1,2)),flip(a)]. 7620 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(641(a,1),7520(a,1,1,1)),flip(a)]. 7621 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(6680(a,1),7520(a,1,1)),flip(a)]. 7622 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7520(a,1),7030(a,1,1)),flip(a)]. 7623 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(773(a,1),7523(a,1,1))]. 7625 x * K(T(y,x),z) = K(z,y) \ x. [hyper(255,a,5600,a,b,7525,a)]. 7626 K(x / y,z) * y = y * K(y \ x,z). [para(129(a,1),7525(a,1,2,1)),flip(a)]. 7627 K((x * y) / x,z) * x = x * K(y,z). [para(166(a,1),7525(a,1,2,1)),flip(a)]. 7628 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(7525(a,1),7081(a,1,1,2))]. 7629 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. [para(7525(a,1),7083(a,1,1,2))]. 7632 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(6157,a,7530,a),flip(a)]. 7633 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7540(a,1),6986(a,1,1)),flip(a)]. 7635 L(x,y / z,K(z \ y,u)) = x. [para(7552(a,1),4398(a,1,3))]. 7641 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7552(a,1),7205(a,1,1)),flip(a)]. 7643 L(x,(y * z) / y,K(z,u)) = x. [para(18(a,1),7635(a,1,3,1))]. 7645 K(x,y) * (((z * x) / z) * L(u,T(K(x,y),(z * x) / z),(z * x) / z)) = ((z * x) / z) * (T(K(x,y),(z * x) / z) * u). [para(7643(a,1),1006(a,1,2,2)),flip(a)]. 7646 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(6895,a,7559,a)]. 7647 (x \ y) * K(z,T(x,x \ y)) = T(x,z) \ y. [hyper(255,a,5560,a(flip),b,7559,a)]. 7648 x \ (y * K(z,T(x,y))) = T(x,z) \ y. [hyper(80,a,7559,a,b,5225,a)]. 7649 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(22,a,6121,a(flip),b,7559,a)]. 7650 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(5622,a,7559,a(flip))]. 7651 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7559(a,1),24(a,1))]. 7653 K(x,y / z) * z = z * K(x,z \ y). [para(129(a,1),7559(a,1,2,2)),flip(a)]. 7654 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(7539(a,2),7559(a,1,2,2))]. 7656 T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). [hyper(5978,a,7564,a)]. 7657 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(7564(a,1),6551(a,1,2,2))]. 7658 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7575(a,1),5384(a,1))]. 7659 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(255,a,7539,a,b,7580,a)]. 7660 T(K(x,y),x * z) = K(x,T(y,z)). [para(18(a,1),7580(a,1,2,2)),flip(a)]. 7661 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(138(a,1),7584(a,1,2))]. 7665 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(773(a,1),7585(a,1,1))]. 7666 (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. [para(7585(a,1),6795(a,1,2))]. 7667 L(x,K(y,z),(u * y) / u) = x. [para(7586(a,1),4723(a,1,2))]. 7668 L(x,T(T(y,z),u),K(w,y)) = x. [para(7586(a,1),6395(a,1,3))]. 7669 a(x,T(y,z),K(u,y)) = 1. [para(7586(a,1),6579(a,1,3))]. 7670 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7586(a,1),7092(a,1,2))]. 7671 L(K(x,y),T(y,z),u) = K(x,y). [hyper(38,a,7669,a)]. 7674 (K(x,y) * T(T(y,z),u)) * w = K(x,y) * (T(T(y,z),u) * w). [para(7668(a,1),112(a,1,2))]. 7676 (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). [hyper(255,a,5727,a,b,7671,a(flip)),flip(a)]. 7677 (x * T(y,z)) * L(K(u,y),w,v5) = x * (T(y,z) * L(K(u,y),w,v5)). [para(7671(a,1),429(a,1,2,1))]. 7678 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(7590(a,1),5263(a,2,1))]. 7679 T(x,T(y,z) \ T(x,z)) = T(x,T(y \ x,z)). [hyper(7190,a,7594,a)]. 7680 K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). [para(6686(a,1),7598(a,1,2))]. 7681 K(x / y,z) \ y = y * K(z,y \ x). [para(7585(a,1),7625(a,1,2)),flip(a)]. 7683 K(x,T(y,x * z)) = K(x,T(y,z)). [para(18(a,1),7659(a,1,2,2)),flip(a)]. 7684 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(47(a,2),7659(a,1,2))]. 7685 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(7659(a,1),5252(a,2,2))]. 7686 K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)). [para(6854(a,1),7659(a,1,2))]. 7687 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(7659(a,1),7208(a,1,1))]. 7688 (x * y) * K(x,T(z,y)) = K(x,z) * (x * y). [para(7660(a,1),127(a,1,2))]. 7689 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(7670(a,1),488(a,1,1))]. 7690 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(129(a,1),7683(a,1,2)),flip(a)]. 7691 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [para(7418(a,1),379(a,1,1)),flip(a)]. 7693 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(685(a,1),7457(a,1,2,2))]. 7695 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(255,a,7032,a(flip),b,7615,a(flip))]. 7696 K(x \ 1,x) * K(y,T(x,z)) = (x \ 1) * (x * K(y,T(x,z))). [para(7615(a,1),433(a,1,2))]. 7697 K(x,T(y,z)) * K(y \ 1,y) = (y \ 1) * (y * K(x,T(y,z))). [para(7615(a,1),2278(a,1,1))]. 7698 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(7539(a,1),7658(a,1))]. 7699 K(T(x,x \ y),z) != u | K(T(x,y),z) = u. [para(6790(a,2),7698(a,1))]. 7700 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(255,a,7249,a,b,7411,a(flip)),flip(a)]. 7701 K(x,y \ (z * x)) = K(x,y \ (x * z)). [hyper(255,a,7247,a(flip),b,7411,a(flip)),flip(a)]. 7702 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(19(a,1),7411(a,2,2,2))]. 7703 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(255,a,6973,a,b,7424,a(flip)),flip(a)]. 7704 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(255,a,6826,a,b,7424,a(flip)),flip(a)]. 7705 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(190(a,1),7424(a,1,2,1)),flip(a)]. 7706 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(7424(a,1),6906(a,2,2))]. 7707 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). [para(7424(a,1),6989(a,1,1))]. 7708 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(3327,a,7434,a)]. 7709 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(80,a,7434,a(flip),b,5550,a),flip(a)]. 7710 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(255,a,47,a,b,7444,a)]. 7711 L(x,y,K(x,z)) = x. [hyper(422,a,7450,a)]. 7712 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(255,a,5538,a(flip),b,7450,a)]. 7714 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(172,a,7450,a,b,5850,a)]. 7715 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). [para(7450(a,1),162(a,2,1)),flip(a)]. 7716 (K(x,y) * z) / x = K(x,y) * (z / x). [para(7711(a,1),483(a,1,2))]. 7717 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(7711(a,1),428(a,1,2,1))]. 7718 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(7711(a,1),429(a,1,2,1))]. 7722 L(K(x,y),z,K(y,u)) = K(x,y). [para(7711(a,1),7007(a,1,2)),flip(a)]. 7723 L(K(x,y),z,K(x,u)) = K(x,y). [para(7711(a,1),7044(a,1,1)),flip(a)]. 7727 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [hyper(255,a,7037,a(flip),b,7722,a(flip))]. 7728 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(255,a,7009,a(flip),b,7723,a(flip)),flip(a)]. 7729 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(7723(a,1),45(a,2,1))]. 7730 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(5629(a,1),7728(a,1,2)),flip(a)]. 7734 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(7464(a,1),1319(a,1,1))]. 7736 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(7464(a,1),7482(a,1,2))]. 7737 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(47(a,1),7736(a,1,2))]. 7738 K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)). [para(4578(a,1),7737(a,1,2,1)),flip(a)]. 7739 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(7468(a,1),127(a,1,2)),flip(a)]. 7741 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(129(a,1),7471(a,1,2))]. 7743 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(7475(a,1),127(a,1,2)),flip(a)]. 7745 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(6201,a,7480,a),flip(a)]. 7746 L(x,y,K(z,x)) = x. [hyper(422,a,7488,a)]. 7748 K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). [para(7488(a,1),5539(a,1,2,2))]. 7750 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(7746(a,1),50(a,1,1)),flip(a)]. 7751 L(K(x,y),z,K(u,y)) = K(x,y). [para(7746(a,1),7007(a,1,2)),flip(a)]. 7752 L(K(x,y),z,K(u,x)) = K(x,y). [para(7746(a,1),7044(a,1,1)),flip(a)]. 7753 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(255,a,7046,a(flip),b,7751,a(flip)),flip(a)]. 7754 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [para(7751(a,1),112(a,1,2))]. 7755 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(255,a,7009,a(flip),b,7752,a(flip)),flip(a)]. 7756 L(R(K(x,y),z,u),w,K(v5,x)) = R(K(x,y),z,u). [para(7752(a,1),49(a,1,1)),flip(a)]. 7757 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(7753(a,1),5292(a,2,1,1))]. 7758 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(50(a,1),7755(a,1,2))]. 7759 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(255,a,6970,a,b,7505,a(flip)),flip(a)]. 7760 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(255,a,6966,a,b,7505,a(flip)),flip(a)]. 7761 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(19(a,1),7505(a,1,1,1)),flip(a)]. 7762 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(7505(a,1),6773(a,1,2))]. 7763 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(7507(a,1),5991(a,1,1,1,2))]. 7764 R(x,y,K(z,x)) = x. [hyper(454,a,7509,a)]. 7768 R(R(x,y,z),u,K(w,x)) = R(x,y,z). [para(7764(a,1),51(a,1,1)),flip(a)]. 7770 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(7764(a,1),459(a,1,1,1)),flip(a)]. 7771 (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). [para(7764(a,1),460(a,1,1,1)),flip(a)]. 7772 R(x,y,K(z,T(x,u))) = x. [para(7542(a,1),7764(a,1,3))]. 7773 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(7772(a,1),460(a,1,1,1)),flip(a)]. 7774 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(7772(a,1),7209(a,1,1,1)),flip(a)]. 7775 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = ((x * K(y,z)) * R(z,u,w)) / K(y,z). [para(7768(a,1),778(a,1,1,2)),flip(a)]. 7776 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(127(a,1),7518(a,1,2,1)),flip(a)]. 7777 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(6850(a,1),7536(a,1,2)),flip(a)]. 7778 K(x,T(y \ 1,z)) = K(x,(y * z) \ z). [hyper(6896,a,7550,a),flip(a)]. 7780 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(279(a,1),7551(a,1,1,1)),flip(a)]. 7781 K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). [hyper(255,a,7539,a,b,7557,a),flip(a)]. 7782 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(6955,a,7567,a)]. 7783 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(255,a,6301,a,b,7782,a(flip)),flip(a)]. 7784 K(x \ y,K(x,z)) = K(y,K(x,z)). [para(19(a,1),7782(a,1,1)),flip(a)]. 7785 R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). [para(7581(a,1),2100(a,1,2))]. 7786 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(47(a,2),7588(a,1,1))]. 7787 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(5933,a,7595,a)]. 7788 K(x,y) \ T(T(x,y),z) = T(x,T(z,y)). [hyper(80,a,7595,a(flip),b,5558,a)]. 7790 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(7466(a,1),7646(a,1,2,1))]. 7791 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(5785(a,1),7653(a,1,1)),flip(a)]. 7792 T(x,T(y \ 1,z)) = T(x,(y * z) \ z). [hyper(6901,a,7656,a),flip(a)]. 7793 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(255,a,5263,a,b,7678,a)]. 7794 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(5216(a,1),7793(a,1,2,2,1))]. 7795 T(x / y,z) \ x = y * K(z,y \ x). [hyper(255,a,5667,a,b,7681,a(flip)),flip(a)]. 7797 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(255,a,5252,a,b,7685,a)]. 7799 T(x,T(y,x \ y)) = T(x,y). [para(126(a,1),7797(a,2,2))]. 7800 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(7797(a,1),5253(a,1,2,1))]. 7801 T(x,T(x * y,y)) = T(x,x * y). [para(18(a,1),7799(a,1,2,2))]. 7802 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(19(a,1),7701(a,2,2,2))]. 7803 L(K(x,x \ (y \ z)),y \ z,y) = K(x,y \ (x \ z)). [hyper(7064,a,7703,a)]. 7804 L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). [hyper(7063,a,7703,a)]. 7805 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [hyper(255,a,6971,a,b,7703,a(flip)),flip(a)]. 7806 K(x,y \ (x \ (y * (x * z)))) = K(x,L(z,x,y)). [para(33(a,2),7703(a,1,2)),flip(a)]. 7807 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(114(a,2),7703(a,1,2))]. 7808 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(179(a,1),7703(a,1,2)),flip(a)]. 7809 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(6369(a,1),7708(a,2,1))]. 7810 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(7708(a,1),6307(a,1,1)),flip(a)]. 7811 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(80,a,7710,a(flip),b,5548,a)]. 7812 (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). [para(5221(a,2),7712(a,1,1))]. 7813 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [para(5536(a,1),7712(a,1,1)),flip(a)]. 7814 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(6559,a,7714,a),flip(a)]. 7815 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6558,a,7714,a)]. 7816 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(255,a,6055,a(flip),b,7714,a)]. 7817 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(19(a,1),7714(a,1,1)),flip(a)]. 7818 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(45(a,2),7714(a,2,2))]. 7819 K(x \ (y \ (z * y)),y) = K(x \ z,y). [hyper(255,a,7240,a(flip),b,7759,a(flip))]. 7820 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(7759(a,1),5991(a,1,1,1,2))]. 7822 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(7539(a,2),7787(a,1,2,2))]. 7823 L(T(x,T(y,z)),K(x,z),z * x) = (x * z) \ ((T(x,y) * z) * x). [para(7788(a,1),4813(a,1,1))]. 7824 x / T(y \ x,z) = T(x / y,z) \ x. [hyper(255,a,6777,a,b,7795,a),flip(a)]. 7825 x / (y * K(z,y \ x)) = T(x / y,z). [para(7795(a,1),70(a,1,2))]. 7826 T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). [para(7802(a,1),5252(a,2,2))]. 7827 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(18(a,1),7815(a,1,2,1)),flip(a)]. 7828 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(7815(a,1),6560(a,1,1)),flip(a)]. 7829 K(x \ 1,y) * (x \ K(y,z)) = T(x \ K(y,z),y). [hyper(255,a,5525,a,b,7817,a(flip)),flip(a)]. 7831 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = T(u / z,x) * z. [para(7817(a,1),1719(a,1,1)),flip(a)]. 7832 K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. [para(7817(a,1),6827(a,1,1,2)),flip(a)]. 7833 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(255,a,7761,a(flip),b,7819,a(flip))]. 7837 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(7824(a,1),73(a,1,1))]. 7838 T(x / (x / y),z) \ x = x / T(y,z). [para(73(a,1),7824(a,1,2,1)),flip(a)]. 7839 (x * y) / (x * K(z,y)) = T((x * y) / x,z). [para(18(a,1),7825(a,1,2,2,2))]. 7841 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5726(a,1),7827(a,1,1)),flip(a)]. 7842 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(6716,a,7828,a)]. 7843 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(255,a,6629,a,b,7828,a),flip(a)]. 7844 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(80,a,7828,a,b,5220,a)]. 7846 K(x \ ((y \ z) * y),y) = K(x \ z,y). [hyper(255,a,7761,a(flip),b,7833,a(flip))]. 7847 K(x \ (y * z),z) = K(x \ (z * y),z). [hyper(255,a,7507,a(flip),b,7833,a(flip))]. 7849 K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). [para(7837(a,1),7540(a,1,2)),flip(a)]. 7851 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(5885(a,1),7838(a,1,1,1))]. 7852 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(172,a,7842,a(flip),b,5535,a)]. 7854 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [para(7842(a,2),6663(a,1,1))]. 7855 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(5829,a,7852,a)]. 7857 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [para(129(a,1),7852(a,1,1)),flip(a)]. 7859 T(x,K(y,z)) * y = y * T(x,T(y,z)). [para(7852(a,1),182(a,1,2)),flip(a)]. 7860 T(x,T(y,y \ 1)) != z | T(x,y) = z. [para(7852(a,1),6155(a,1)),flip(b)]. 7861 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(7852(a,1),7555(a,1,2))]. 7862 K(x,T(y,T(z,L(x,u,w)))) = K(x,T(y,z)). [para(7852(a,1),7611(a,1,2))]. 7863 T(1 / x,T(y,x)) = T(1 / x,y). [para(2337(a,1),7855(a,1,1)),flip(a)]. 7865 L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x). [para(7855(a,1),4672(a,1,2)),flip(a)]. 7866 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(6105(a,1),7855(a,1,1)),flip(a)]. 7867 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(129(a,1),7861(a,1,2,2)),flip(a)]. 7868 T(1 / (x \ y),T(x,y)) = T(1 / (x \ y),x). [hyper(255,a,7479,a(flip),b,7863,a(flip)),flip(a)]. 7870 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(255,a,7479,a(flip),b,7866,a(flip)),flip(a)]. 7871 T(x,(y \ 1) \ 1) != z | T(x,y) = z. [para(128(a,1),7860(a,1,2))]. 7876 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(255,a,6909,a,b,7857,a(flip)),flip(a)]. 7879 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(255,a,7659,a(flip),b,7867,a)]. 7881 K(x,T(y,z * x)) = K(x,T(y,z)). [para(20(a,1),7879(a,1,2,2)),flip(a)]. 7882 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(141(a,1),7879(a,1,2,2)),flip(a)]. 7883 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4659(a,1),7879(a,1,2))]. 7884 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(4660(a,1),7879(a,1,2))]. 7885 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(255,a,7427,a,b,7881,a),flip(a)]. 7886 T(K(x,y),z * x) = K(x,T(y,z)). [hyper(255,a,7539,a(flip),b,7881,a(flip)),flip(a)]. 7887 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(7881(a,1),7559(a,1,2))]. 7888 T(K(x,y),z * x) = T(K(x,y),z). [hyper(255,a,7539,a(flip),b,7886,a)]. 7889 x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). [para(383(a,1),7876(a,2,1))]. 7891 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. [para(603(a,2),7534(a,1))]. 7895 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(6953(a,1),7534(a,1))]. 7899 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7522(a,2),7895(a,1))]. 7900 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(7580(a,2),7895(a,1))]. 7902 T(K(x,y),z * x) != u | K(x,T(y,z)) = u. [para(7888(a,2),7895(a,1))]. 7903 K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u. [para(7191(a,2),7899(a,1))]. 7906 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [hyper(255,a,7228,a(flip),b,7729,a(flip)),flip(a)]. 7908 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(5608(a,1),7906(a,1,2)),flip(a)]. 7910 T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5). [para(6205(a,1),7908(a,1,2,1))]. 7911 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(255,a,5292,a,b,7757,a)]. 7912 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(114(a,1),7911(a,1,2))]. 7913 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(129(a,1),7862(a,1,2,2)),flip(a)]. 7914 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(7539(a,2),7902(a,1))]. 7915 K(x * y,T(y,z * (y * x))) != u | K(y * x,T(y,z)) = u. [para(6408(a,2),7914(a,1))]. 7917 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(7416(a,1),6724(a,1,2))]. 7921 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(255,a,3146,a(flip),b,7487,a)]. 7922 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(6209(a,1),7487(a,2,2))]. 7923 K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). [hyper(255,a,7855,a(flip),b,7528,a)]. 7924 K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). [hyper(5854,a,7923,a)]. 7925 K(R((x * y) / x,z,u),T(w,y * x)) = K(R(L(y,x,y),z,u),w). [para(618(a,1),7583(a,1,1,1)),flip(a)]. 7926 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1956(a,1),7583(a,1,1)),flip(a)]. 7927 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(3140(a,1),7583(a,2,2))]. 7928 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(6686(a,1),7616(a,1,2,1))]. 7931 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6907(a,2),7657(a,1,2))]. 7933 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [hyper(255,a,6194,a(flip),b,7686,a(flip))]. 7934 (x * y) * K(x,K(z,T(u,y))) = K(x,K(z,u)) * (x * y). [para(7539(a,2),7688(a,1,2,2))]. 7935 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(255,a,7424,a(flip),b,7690,a)]. 7936 (x / R(y,z,y)) * y != y * u | R(y,z,y) \ x = u. [para(7743(a,2),24(a,1))]. 7937 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(7110,a,7760,a)]. 7938 K(x \ (y \ 1),y) = K(y \ (x \ 1),y). [hyper(6007,a,7760,a),flip(a)]. 7939 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [hyper(255,a,7761,a(flip),b,7938,a(flip))]. 7940 T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). [para(7939(a,1),5291(a,2,2,2))]. 7941 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(7002(a,1),7777(a,1,2))]. 7942 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(22,a,7559,a,b,7791,a),flip(a)]. 7943 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(255,a,7778,a(flip),b,7942,a(flip)),flip(a)]. 7944 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [para(73(a,1),7942(a,2,2,2))]. 7945 x * K(x,y \ (z \ y)) = T(x,(z * y) \ y). [para(7943(a,1),5252(a,2,2)),flip(a)]. 7946 T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). [hyper(172,a,7812,a,b,1078,a)]. 7948 x * K(T(y,z) \ x,y) = (y \ x) * y. [hyper(6647,a,7813,a)]. 7949 x / T(y,T(y,z) \ x) = y \ x. [hyper(6746,a,7948,a)]. 7950 T(x,T(x,y) \ z) = (x \ z) \ z. [para(7949(a,1),73(a,1,1)),flip(a)]. 7951 T(x,T(x,y) \ z) = T(x,x \ z). [hyper(255,a,128,a,b,7950,a)]. 7954 T(x,x \ (T(x,y) * z)) = T(x,z). [para(18(a,1),7951(a,1,2)),flip(a)]. 7955 T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ z) = T(T(x,y) / (x / y),(x / (x / y)) \ z). [para(4134(a,1),7951(a,1,2,1)),flip(a)]. 7957 T(x,K(x,y) * z) = T(x,z). [para(5534(a,1),7954(a,1,2))]. 7958 T(x,K(x,y) * L(K(z,x),u,w)) = x. [hyper(255,a,3223,a(flip),b,7957,a)]. 7959 T(x,K(y,x) * z) = T(x,z). [para(5608(a,1),7957(a,1,2)),flip(a)]. 7960 T(x,T(y,x) \ z) = T(x,y \ z). [para(5560(a,1),7957(a,1,2))]. 7961 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7957(a,1),5819(a,1,1))]. 7963 T(x,(y / x) \ z) = T(x,(x \ y) \ z). [para(6053(a,1),7957(a,1,2)),flip(a)]. 7965 K(x,T(y,K(x,z) * u)) = K(T(x,u),y). [para(7957(a,1),7542(a,1,1)),flip(a)]. 7966 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7959(a,1),4783(a,1,3))]. 7967 T(x,y * K(z,x)) = T(x,y). [para(7627(a,1),7959(a,1,2))]. 7968 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(7967(a,1),5253(a,1,2,1)),flip(a)]. 7970 T(x,y * K(x,z)) = T(x,y). [para(6672(a,1),7967(a,1,2)),flip(a)]. 7971 T(x,y / (z / x)) = T(x,y / (x \ z)). [para(6878(a,1),7967(a,1,2))]. 7974 K(x,y * K(x,z)) = x \ T(x,y). [hyper(80,a,7970,a(flip),b,5252,a(flip)),flip(a)]. 7975 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(7970(a,1),183(a,1,2,1))]. 7977 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(7970(a,1),4462(a,1,2,1))]. 7978 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(6189(a,1),7970(a,1,2,2))]. 7980 T(x,y * (z * x)) = T(x,y * (x * z)). [para(7053(a,1),7970(a,1,2)),flip(a)]. 7981 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(255,a,7776,a(flip),b,7960,a(flip)),flip(a)]. 7982 K(x,y * K(x,z)) = K(x,y). [hyper(255,a,5186,a,b,7974,a)]. 7983 T(x,K(y,x * K(y,z))) = x. [para(7974(a,2),3151(a,1,2))]. 7984 K(x,y * K(x,z)) != u | K(x,y) = u. [para(7974(a,2),5325(a,1))]. 7987 K(x,y * R(K(x,z),u,w)) = K(x,y). [para(6361(a,1),7982(a,1,2,2))]. 7988 K(x,y * K(z,x)) = K(x,y). [para(6672(a,1),7982(a,1,2)),flip(a)]. 7990 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(6886(a,1),7982(a,1,2)),flip(a)]. 7991 K(x,y \ T(z,x)) = K(x,y \ z). [para(6967(a,1),7982(a,1,2)),flip(a)]. 7992 K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). [para(7124(a,1),7982(a,1,2)),flip(a)]. 7993 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7982(a,1),6729(a,1,1)),flip(a)]. 7994 K(x,K(x,y) * z) = K(x,z). [para(7559(a,1),7982(a,1,2))]. 7995 K(x,K(y,x) * z) = K(x,z). [para(7572(a,1),7982(a,1,2)),flip(a)]. 7996 K(x,K(y,x * K(y,z))) = 1. [hyper(41,a,7983,a)]. 7997 K(x * K(y,z),z) = 1 / K(z,x). [para(7988(a,1),5394(a,1,2)),flip(a)]. 7998 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(7988(a,1),5911(a,1,1))]. 7999 K(x,y \ T(y * z,x)) = K(x,z). [para(6018(a,2),7988(a,1,2))]. 8002 K(x,T(x,y) * z) = K(x,x * z). [para(5272(a,1),7994(a,1,2))]. 8003 K(x,K(y,x) \ z) = K(x,z). [para(5600(a,2),7994(a,1,2))]. 8005 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(6361(a,1),7994(a,1,2,1))]. 8006 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(6205(a,1),7995(a,1,2,1))]. 8007 K(x * K(y,z),z) = K(x,z). [hyper(255,a,5394,a(flip),b,7997,a)]. 8008 K(x * K(y,z),z) != u | K(x,z) = u. [para(7997(a,2),5395(a,1))]. 8009 K(x * T(y,z),z) = K(x * y,z). [para(1562(a,1),8007(a,1,1))]. 8010 R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). [para(8007(a,1),4395(a,1,1))]. 8012 K(x * L(K(y,z),u,w),z) = K(x,z). [para(6475(a,1),8007(a,1,1,2))]. 8013 K(x * T(y,z),y) = K(x * y,y). [para(6633(a,1),8007(a,1,1)),flip(a)]. 8014 K(x * K(y,z),y) = K(x,y). [para(6672(a,1),8007(a,1,1)),flip(a)]. 8015 K(x * K(y,T(z,u)),z) = K(x,z). [para(7542(a,1),8007(a,1,1,2))]. 8016 K(K(x,y) * z,y) = K(z,y). [para(7525(a,1),8007(a,1,1))]. 8017 K(K(x,y) * z,x) = K(z,x). [para(7527(a,1),8007(a,1,1)),flip(a)]. 8018 K(K(x,y) \ z,x) = K(z,x). [para(7625(a,1),8007(a,1,1))]. 8019 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(8014(a,1),5996(a,1,1,1,2)),flip(a)]. 8022 K(K(x,y) * z,x) = K(z * K(x,u),x). [hyper(255,a,8014,a,b,8017,a)]. 8025 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6361(a,1),8017(a,1,1,1))]. 8026 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(8017(a,1),6586(a,1,1))]. 8028 K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). [para(7828(a,2),8002(a,1,2))]. 8029 K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). [para(7475(a,1),8009(a,1,1,2)),flip(a)]. 8030 K(x * T(y,z),y) = K(y * x,y). [hyper(255,a,5894,a(flip),b,8013,a)]. 8031 K(T(x,y) * z,x) = K(z * T(x,y),x). [para(104(a,1),8015(a,1,1)),flip(a)]. 8032 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(6020(a,1),8015(a,1,1))]. 8033 K(x * (y / T(x,z)),x) = K(y,x). [para(21(a,1),8030(a,1,1)),flip(a)]. 8034 T(x,y * (z * K(x,u))) = T(x,y * z). [para(112(a,1),7978(a,1,2))]. 8035 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(7046(a,1),7978(a,1,2,2))]. 8037 L(K(x,y),y,z) != u | K(x,y) = u. [para(6577(a,2),7984(a,1))]. 8038 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(6886(a,1),7984(a,1,2))]. 8039 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(7032(a,1),8037(a,1))]. 8041 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(7208(a,1),8005(a,1,2,1))]. 8042 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(6382(a,1),8006(a,1,2,1))]. 8044 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1560(a,1),8008(a,1,1))]. 8047 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(7009(a,1),8012(a,1,1,2))]. 8048 K(x * (y * K(z,u)),z) = K(x * y,z). [para(7083(a,1),8012(a,1,1)),flip(a)]. 8049 K((K(x,y) * z) * u,x) = K(z * u,x). [para(122(a,1),8025(a,1,1))]. 8050 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(7208(a,1),8025(a,1,1,1))]. 8051 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(432(a,1),8035(a,1,2))]. 8052 K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6). [para(8035(a,1),5195(a,1,1,1)),flip(a)]. 8053 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(5175(a,1),8041(a,1,2))]. 8054 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5536(a,1),8041(a,1,2)),flip(a)]. 8055 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(5592(a,1),8041(a,1,2))]. 8056 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(7627(a,1),8042(a,1,2))]. 8057 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(263(a,1),8047(a,1,1))]. 8058 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7527(a,1),8047(a,1,1)),flip(a)]. 8059 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(5175(a,1),8050(a,1,1))]. 8060 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(5226(a,1),8050(a,1,1)),flip(a)]. 8061 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(6878(a,1),8056(a,1,2))]. 8062 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(255,a,7519,a(flip),b,7963,a)]. 8063 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [hyper(255,a,7542,a(flip),b,7965,a)]. 8064 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(255,a,7496,a,b,7971,a(flip)),flip(a)]. 8065 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(114(a,2),7981(a,1,2))]. 8066 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(255,a,7452,a,b,7990,a(flip)),flip(a)]. 8067 K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). [para(5608(a,1),7992(a,1,2,1)),flip(a)]. 8069 K(K(x,y) * z,x) != u | K(z,x) = u. [para(8022(a,2),8008(a,1))]. 8070 K(x * y,x) != z | K(y * x,x) = z. [para(5175(a,1),8069(a,1,1))]. 8071 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(8032(a,1),5821(a,1,1,2))]. 8075 K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). [para(7028(a,1),8048(a,1,1,2))]. 8076 K(x * (K(y,z) * u),y) = K(x * u,y). [para(7559(a,1),8048(a,1,1,2))]. 8077 K(K(x,T(y,z)) * u,z) = K(K(x,y) * u,z). [para(7548(a,1),8049(a,1,1,1))]. 8078 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(2807(a,1),8062(a,1,2,1)),flip(a)]. 8080 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(8076(a,1),5994(a,1,2,1,2)),flip(a)]. 8081 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(37(a,1),8044(a,1,1,2))]. 8082 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [hyper(255,a,5252,a,b,7826,a)]. 8085 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(18(a,1),8082(a,1,2,2,1))]. 8086 T(x,y \ ((x \ z) * x)) != u | x * K(x,y \ z) = u. [para(8082(a,2),5353(a,1))]. 8087 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(8082(a,1),5195(a,1,1,1)),flip(a)]. 8088 T(x,(y / x) \ z) = T(x,y \ (z * x)). [hyper(255,a,8062,a,b,8085,a),flip(a)]. 8089 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(255,a,7519,a,b,8085,a),flip(a)]. 8090 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(8085(a,1),5253(a,1,2,1))]. 8091 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(8088(a,1),5195(a,1,1,1))]. 8092 (x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x. [hyper(255,a,5302,a(flip),b,7839,a)]. 8093 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5641(a,1),7843(a,1,1,1)),flip(a)]. 8094 (x \ (y * T(x,z))) * x != u * T(x,z) | T(y,x) = u. [para(7854(a,2),25(a,1))]. 8095 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(6621,a,7887,a),flip(a)]. 8096 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(7921(a,2),7091(a,1,2))]. 8097 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(6837(a,1),7927(a,1,1,1)),flip(a)]. 8098 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(5325,a,7931,a)]. 8099 K(x,K(y,z)) = K(z,K(y,x)). [hyper(255,a,7783,a(flip),b,8098,a(flip))]. 8100 K(K(x,y),z) = K(x,K(y,z)). [hyper(6099,a,8099,a)]. 8101 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(255,a,8098,a(flip),b,8099,a)]. 8103 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [para(8099(a,1),104(a,1,2))]. 8104 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(8099(a,1),5208(a,2,1)),flip(a)]. 8105 x * K(y,K(z,x)) = T(x,K(z,y)). [para(8099(a,1),5252(a,2,2)),flip(a)]. 8106 K(x,K(y,z)) * z = T(z,K(y,x)). [para(8099(a,1),5263(a,2,1)),flip(a)]. 8107 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(8099(a,1),5227(a,1,1))]. 8110 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(8099(a,1),6093(a,1,1))]. 8112 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(8099(a,1),6094(a,1,2))]. 8113 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(8099(a,1),6096(a,1,1))]. 8115 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(8099(a,1),7549(a,1,2))]. 8116 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [para(8099(a,1),7924(a,1,1))]. 8117 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(255,a,6209,a(flip),b,8100,a)]. 8118 R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). [hyper(255,a,6358,a,b,8100,a(flip)),flip(a)]. 8119 T(x,K(y,z)) * K(y,K(z,x)) = x. [para(8100(a,1),5194(a,1,2))]. 8120 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(8100(a,1),5255(a,1,2))]. 8122 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(8100(a,1),6119(a,1))]. 8123 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(8100(a,1),6476(a,2,1))]. 8124 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(8100(a,1),6618(a,1,2))]. 8128 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(8017(a,1),8100(a,1,1)),flip(a)]. 8129 K(x,K(y,z / y)) = K(x,K(y,z)). [para(21(a,1),8101(a,1,2,2)),flip(a)]. 8130 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(100(a,1),8101(a,1,2,2))]. 8131 K(x,K(y,y * z)) = K(x,K(y,z)). [para(5842(a,1),8101(a,1,2))]. 8132 T(x,K(y,y * z)) = K(z,K(y,x)) * x. [para(7782(a,1),8106(a,1,1)),flip(a)]. 8133 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(8106(a,1),8063(a,1,2,2))]. 8134 K(x,K(y,z)) = K(y,K(x,z)). [hyper(6097,a,8110,a)]. 8135 K(K(x,y),z) = K(y,K(z,x)). [hyper(5384,a,8110,a)]. 8136 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(8110(a,1),6097(a,1))]. 8137 K(K(x,y),z) = K(y,K(x,z)). [hyper(255,a,8100,a,b,8134,a),flip(a)]. 8138 K(x,K(y,z)) = K(z,K(x,y)). [hyper(255,a,8099,a,b,8134,a)]. 8139 K(x,K(x * y,z)) = K(y,K(x,z)). [hyper(255,a,7782,a(flip),b,8134,a)]. 8140 x * K(y,K(x,z)) = T(x,K(y,z)). [para(8134(a,1),5252(a,2,2)),flip(a)]. 8141 K(x,K(y,z)) * y = T(y,K(x,z)). [para(8134(a,1),5263(a,2,1)),flip(a)]. 8143 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(5842(a,2),8134(a,1,2))]. 8144 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(8134(a,1),6094(a,1,2))]. 8146 K(x,K(T(y,z),u)) = K(y,K(x,T(u,z))). [para(7542(a,2),8134(a,1,2))]. 8147 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(7728(a,1),8134(a,1,2)),flip(a)]. 8148 K(x,y) * K(y,K(z,x)) = K(x,T(y,z)). [para(8134(a,1),7549(a,1,2))]. 8149 K(x,K(y,K(x,z) * u)) = K(y,K(x,u)). [para(7994(a,1),8134(a,1,2)),flip(a)]. 8150 x * K(y,K(z,x)) = T(x,K(y,z)). [para(8134(a,1),8105(a,1,2))]. 8151 K(x,K(y,z)) * z = T(z,K(x,y)). [para(8134(a,1),8106(a,1,1))]. 8152 K(K(x,y),z) = K(x,K(z,y)). [hyper(255,a,8099,a,b,8135,a)]. 8153 K(K(x,y),z) = K(z,K(x,y)). [hyper(255,a,8099,a,b,8137,a)]. 8154 K(x,K(y,z)) = K(x,K(z,y)). [hyper(255,a,8135,a(flip),b,8137,a(flip))]. 8155 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(8137(a,1),5175(a,1,1))]. 8156 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(8137(a,1),6119(a,1))]. 8157 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(6209(a,1),8137(a,1,1)),flip(a)]. 8158 x * K(K(y,z),x) = T(x,K(y,z)). [para(8137(a,2),8105(a,1,2))]. 8159 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(255,a,7567,a,b,8138,a),flip(a)]. 8160 K(x,K(y,x \ z)) = K(z,K(x,y)). [hyper(255,a,7784,a(flip),b,8138,a)]. 8161 K(x,K(y,z)) * y = T(y,K(z,x)). [para(8138(a,1),5263(a,2,1)),flip(a)]. 8164 K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. [para(8138(a,2),5634(a,1,1))]. 8165 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(8138(a,2),6245(a,1,1))]. 8169 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7542(a,1),8138(a,1,2))]. 8170 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(8138(a,2),7548(a,1,1))]. 8173 K(x,K(y,z)) * x = T(x,K(z,y)). [para(8138(a,1),8106(a,1,1))]. 8176 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(8152(a,1),6119(a,1))]. 8177 K(x,y) * K(z,K(x,y)) = T(K(x,y),z). [para(8153(a,1),5252(a,2,2)),flip(a)]. 8178 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(8153(a,1),5382(a,1,1))]. 8179 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(8153(a,1),5560(a,1,1))]. 8180 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(8153(a,1),5622(a,1,1))]. 8183 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(8153(a,1),6119(a,1))]. 8185 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(6430(a,1),8154(a,1,2)),flip(a)]. 8187 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(8154(a,1),7549(a,1,2))]. 8188 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(8119(a,1),8034(a,1,2,2)),flip(a)]. 8189 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(4680(a,1),8129(a,1,2))]. 8190 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(5374(a,1),8129(a,1,2))]. 8191 K(x * y,x) * K(z,K(x,y)) = K(x * y,T(x,z)). [para(8131(a,1),7549(a,1,2))]. 8192 K(x,K(x * y,z)) = K(x,K(y,z)). [hyper(255,a,8134,a,b,8139,a)]. 8193 T(x,K(y,z)) = T(x,K(z,y)). [hyper(255,a,8105,a(flip),b,8150,a(flip))]. 8194 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [hyper(6947,a,8193,a),flip(a)]. 8195 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(6941,a,8193,a)]. 8196 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(6871,a,8193,a),flip(a)]. 8197 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(6838,a,8193,a),flip(a)]. 8198 T(T(x,K(y,z)),K(y,z)) = x. [hyper(6800,a,8193,a)]. 8199 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(5717,a,8193,a)]. 8200 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(255,a,7852,a(flip),b,8193,a)]. 8201 T(x * y,K(z,y)) = y * T(x,T(y,z)). [hyper(255,a,6907,a(flip),b,8193,a)]. 8203 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(8193(a,1),4519(a,1,2))]. 8205 T(T(x,y),K(z,u)) != w | T(T(x,K(u,z)),y) = w. [para(8193(a,1),5829(a,1))]. 8207 T(T(x,K(y,z)),K(y,z)) != u | u = x. [para(8193(a,1),6800(a,1,1))]. 8208 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(8193(a,1),7855(a,1,1))]. 8209 T(x,K(y,z)) * z = z * T(x,T(z,y)). [para(8193(a,1),7859(a,1,1))]. 8212 T(K(x,y),z) * z = z * K(x,y). [para(8198(a,1),4584(a,1,2))]. 8214 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(8198(a,1),6800(a,1,1)),flip(b)]. 8216 K(x,K(y,z)) * (z * R(K(y,u),w,v5)) = T(z * R(K(y,u),w,v5),K(x,y)). [para(7987(a,1),8151(a,1,1,2))]. 8217 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(8158(a,1),7130(a,1,3)),flip(a)]. 8218 K(x,K(y,x \ z)) = K(x,K(y,z)). [hyper(255,a,8138,a,b,8160,a)]. 8219 K(x,K(y,x \ z)) = K(x,K(z,y)). [hyper(255,a,8134,a,b,8160,a)]. 8220 T(x,K(y,x \ z)) = K(z,K(x,y)) * x. [para(8160(a,1),5263(a,2,1))]. 8222 K(x,K(y \ z,y)) = K(x,K(z / y,z)). [para(6409(a,1),8190(a,1,2))]. 8223 K(x,K(x \ y,z)) = K(x,K(y,z)). [para(19(a,1),8192(a,1,2,1)),flip(a)]. 8224 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(8200(a,1),6102(a,1,1))]. 8225 K(T(x,T(y,z)),z) = K(T(x,y),z). [para(8200(a,1),7524(a,1,1))]. 8226 K(x,T(T(y,z),K(u,y * z))) = K(x,T(y,T(y * z,u))). [para(8200(a,1),7738(a,1,2)),flip(a)]. 8227 T(T(K(x,y),z),z) = K(x,y). [hyper(393,a,8212,a)]. 8228 (x * T(x \ y,z)) / y = T(K(x \ y,z),y). [hyper(81,a,6643,a,b,8212,a)]. 8229 T(K(x \ y,z),x) = K(y / x,z). [hyper(23,a,7626,a,b,8212,a)]. 8230 T(K(x \ y,z),y) = K(y / x,z). [hyper(23,a,6788,a,b,8212,a)]. 8231 T(K(x,T(y,z)),z) = K(x,y). [hyper(23,a,7559,a(flip),b,8212,a)]. 8233 K(x \ y,z) * y = y * K(y / x,z). [para(6755(a,1),8212(a,1,1))]. 8234 K(T(x,y),z) * y = y * K(x,z). [para(7522(a,2),8212(a,1,1))]. 8235 K(x,T(y,z)) * z = z * K(x,y). [para(7539(a,2),8212(a,1,1))]. 8236 K(x,T(T(y,z),z)) = K(x,y). [hyper(255,a,7781,a,b,8227,a(flip)),flip(a)]. 8237 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(8227(a,1),183(a,1,2,1)),flip(a)]. 8238 R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). [para(8227(a,1),184(a,1,2,1)),flip(a)]. 8239 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(8227(a,1),206(a,1,2,2,1))]. 8242 K(T(x,y),T(z,y)) = K(x,z). [hyper(7698,a,8231,a)]. 8243 K(x \ y,T(z,y)) = K(y / x,z). [hyper(6936,a,8231,a)]. 8244 K(T(x,y) \ 1,T(z,y)) = K(x \ 1,z). [hyper(5966,a,8231,a)]. 8246 (x * K(y,z)) / x = K(y,T(z,x)). [para(8231(a,1),167(a,1,1,2))]. 8248 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(8231(a,1),184(a,1,2,1)),flip(a)]. 8249 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(8231(a,1),7526(a,1,1)),flip(a)]. 8250 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [hyper(255,a,7583,a,b,8236,a(flip)),flip(a)]. 8251 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(255,a,7885,a(flip),b,8236,a(flip))]. 8252 K(x,T(y \ z,z)) = K(x,z / y). [hyper(255,a,7849,a(flip),b,8236,a(flip)),flip(a)]. 8253 K((x * y) / x,z) = K(y,T(z,x)). [hyper(255,a,7586,a(flip),b,8236,a(flip))]. 8254 K(x \ y,T(z,x)) = K(y / x,z). [hyper(255,a,7584,a(flip),b,8236,a(flip)),flip(a)]. 8255 K(x,T(y \ z,y)) = K(x,z / y). [para(129(a,1),8236(a,1,2,1))]. 8256 K(x,(y * z) / y) = K(x,T(z,y)). [para(166(a,1),8236(a,1,2,1)),flip(a)]. 8257 K(T(x,y),z \ y) = K(x,y / z). [hyper(7573,a,8242,a)]. 8259 K(K(x,y) * z,T(u,z)) = K(z * K(x,y),u). [hyper(255,a,7621,a(flip),b,8242,a(flip)),flip(a)]. 8260 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(45(a,2),8242(a,1,1))]. 8261 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(45(a,2),8242(a,1,2))]. 8262 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(47(a,2),8242(a,1,2))]. 8263 K(T(x,y),y \ z) = K(x,z / y). [para(129(a,1),8242(a,1,2))]. 8264 K(x,(y * z) / y) = K(T(x,y),z). [para(166(a,1),8242(a,1,2)),flip(a)]. 8265 K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). [para(703(a,2),8242(a,1,2)),flip(a)]. 8267 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(1061(a,1),8242(a,1,2))]. 8268 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(4506(a,1),8242(a,1,2))]. 8269 K(x * K(y,x),z) = K(x,T(z,y)). [para(5216(a,1),8242(a,1,1)),flip(a)]. 8270 x * K(T(x,y),T(z,y)) = T(x,z). [para(8242(a,2),5252(a,2,2)),flip(a)]. 8271 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(8242(a,1),5681(a,1,1)),flip(a)]. 8272 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(8242(a,1),6382(a,1,1))]. 8273 L(K(x,y),z * T(y,u),w) = K(T(x,u),L(T(y,u),z,w)). [para(8242(a,1),7009(a,1,1))]. 8274 L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)). [para(8242(a,1),7046(a,1,1))]. 8276 K(x,T(y,z)) * (z * K(y,x)) = z. [para(8242(a,1),7650(a,1,2,2))]. 8278 K(x,K(y,x * z)) = K(x,K(y,z)). [para(18(a,1),8218(a,1,2,2)),flip(a)]. 8279 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(255,a,5998,a,b,8229,a)]. 8281 K((x * y) \ z,T(x,y)) = K(z / (x * y),x). [hyper(255,a,6951,a(flip),b,8229,a(flip)),flip(a)]. 8282 K(x / y,x / z) = K(y \ x,z \ x). [hyper(6900,a,8230,a),flip(a)]. 8283 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(255,a,6951,a(flip),b,8230,a(flip)),flip(a)]. 8285 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(7621(a,1),8234(a,1,1))]. 8286 K(x,T(y \ 1,z)) = K(x,y \ K(y,z)). [hyper(23,a,6431,a,b,8235,a)]. 8288 K(x,T((y \ z) \ 1,y)) = K(x,y / z). [hyper(23,a,6113,a(flip),b,8235,a)]. 8289 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(81,a,8235,a(flip),b,5221,a)]. 8290 K(x,T(y,z)) * z != z * u | K(x,y) = u. [para(8235(a,2),24(a,1))]. 8291 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(8235(a,1),574(a,1,2,1)),flip(a)]. 8293 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(8235(a,1),5220(a,1,2)),flip(a)]. 8294 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(6956(a,1),8235(a,1,1))]. 8295 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. [para(8235(a,1),5630(a,1,1,3)),flip(a)]. 8296 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(8235(a,1),8063(a,1,2,2))]. 8297 K(x,T(y * K(x,z),u)) = K(x,T(y,u)). [para(8235(a,1),8067(a,1,2,1))]. 8298 K(x \ (y \ z),T(y,z)) = K((y \ z) / x,y). [hyper(7534,a,8243,a)]. 8299 L(K(x \ y,T(z,u * y)),y,u) = K((u * y) / (u * x),z). [hyper(7074,a,8243,a)]. 8301 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(7957(a,1),8243(a,1,2))]. 8304 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(8246(a,1),769(a,1,1)),flip(a)]. 8305 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [hyper(7914,a,8252,a)]. 8307 K(x,T(y \ (x * z),z)) = K(x,(x * z) / y). [hyper(255,a,7683,a(flip),b,8252,a(flip)),flip(a)]. 8308 K(x,y / (y / z)) = K(x,T(z,y)). [para(73(a,1),8252(a,1,2,1)),flip(a)]. 8310 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(100(a,1),8253(a,1,1,1))]. 8311 K(R((x * y) / x,z,u),w) = K(R(y,z,u),T(w,x)). [para(775(a,2),8253(a,1,1))]. 8314 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(4148(a,1),8253(a,1,1))]. 8315 K((x \ y) \ 1,T(z,y)) = K(x / y,z). [hyper(255,a,6707,a,b,8254,a(flip)),flip(a)]. 8317 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(7970(a,1),8254(a,1,2))]. 8318 K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). [para(29(a,2),8255(a,1,2,1)),flip(a)]. 8322 K(x,L(y / (z \ u),z \ u,z)) = K(x,T(u \ (z * y),z \ u)). [para(785(a,1),8256(a,1,2))]. 8325 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(4454(a,1),8263(a,1,1))]. 8327 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(7967(a,1),8263(a,1,1))]. 8328 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(255,a,5446,a,b,8264,a(flip)),flip(a)]. 8329 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(775(a,2),8264(a,1,2))]. 8330 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(8058(a,1),8269(a,1,1,2)),flip(a)]. 8331 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(5307(a,1),8270(a,1,2,2)),flip(a)]. 8332 K(x * T(y,z),T(y,u)) = K(x * y,T(y,u)). [para(8270(a,1),8048(a,1,1,2))]. 8333 K(x,T(y,z * K(u,x))) = K(x,T(y,z)). [para(8276(a,1),8063(a,1,2,2)),flip(a)]. 8336 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(8308(a,1),7322(a,1,2))]. 8337 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(8308(a,1),6922(a,1,1,2))]. 8338 K(x,y / (y / z)) != u | K(T(x,y),z) = u. [para(8308(a,2),7658(a,1))]. 8342 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(8137(a,2),8122(a,1))]. 8345 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7542(a,1),8183(a,1,2))]. 8346 K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. [para(7584(a,2),8183(a,1,2))]. 8347 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(8101(a,2),8183(a,1))]. 8352 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(7659(a,1),8104(a,1,1,2))]. 8353 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(8112(a,2),7895(a,1))]. 8354 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(8003(a,1),8112(a,1,2,2)),flip(a)]. 8355 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7553(a,1),8113(a,1,1,2)),flip(a)]. 8356 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(8115(a,1),24(a,1))]. 8357 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(7247(a,1),8115(a,1,2,2))]. 8358 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(8116(a,1),7957(a,1,2))]. 8359 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(8116(a,1),8041(a,1,2))]. 8360 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(129(a,1),8358(a,1,2,2)),flip(a)]. 8362 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(255,a,8100,a(flip),b,8128,a)]. 8364 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(255,a,8106,a(flip),b,8132,a)]. 8366 T(x,K(y,y * T(x,z))) = x. [hyper(255,a,7593,a(flip),b,8364,a)]. 8367 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(19(a,1),8364(a,1,2,2)),flip(a)]. 8369 T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). [hyper(40,a,8366,a)]. 8370 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(255,a,7539,a(flip),b,8133,a(flip)),flip(a)]. 8371 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7542(a,1),8144(a,1,2,2))]. 8372 K(x,y) * K(y,K(z,x)) != u | K(x,T(y,z)) = u. [para(8144(a,2),7895(a,1))]. 8373 K(x,K(T(y,z),u)) = K(y,K(u,T(x,z))). [hyper(8122,a,8146,a)]. 8374 K(x,y) * K(y,K(z,T(x,u))) = K(x,T(y,T(z,u))). [para(7542(a,1),8148(a,1,2,2))]. 8375 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(255,a,8134,a,b,8149,a)]. 8376 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(2081,a,8159,a)]. 8377 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(7879(a,1),8169(a,2,2))]. 8380 R(K(x,y),z,u) \ R(T(K(x,y),w),z,u) = K(w,R(K(x,y),z,u)). [para(8177(a,1),5994(a,1,2,1))]. 8386 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(255,a,8201,a,b,8209,a),flip(a)]. 8387 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(255,a,8161,a(flip),b,8220,a)]. 8389 T(x,K(y,x * z)) = T(x,K(y,z)). [para(18(a,1),8387(a,1,2,2)),flip(a)]. 8392 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(255,a,8193,a,b,8389,a)]. 8394 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(8392(a,1),43(a,1,1)),flip(a)]. 8395 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(8392(a,1),8208(a,1,1))]. 8397 K(x,K(y / z,y)) = K(x,K(z,z \ y)). [hyper(8183,a,8222,a),flip(a)]. 8398 K(x \ (y \ z),y) * z = z * K(z / (y * x),y). [para(7505(a,1),8233(a,1,1))]. 8402 K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,y \ x)). [para(4506(a,1),8244(a,1,1,1)),flip(a)]. 8403 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(255,a,5853,a,b,8249,a)]. 8404 K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). [para(8249(a,1),5190(a,2,2))]. 8407 T(K(x \ y,z),x) != u | K(y / x,z) = u. [para(8279(a,2),6146(a,1))]. 8409 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(7292,a,8282,a)]. 8410 K(x \ 1,y) * K(y,x \ K(x,z)) = K(x \ 1,K(y,z)). [para(8286(a,1),8159(a,1,2))]. 8411 K(x,T(1 / (y \ z),y)) = K(x,y / z). [hyper(255,a,3710,a,b,8288,a(flip)),flip(a)]. 8415 (x * (K(y,z) * K(x,u))) * K(z,y) = T(x,T(u,K(y,z))). [hyper(6674,a,8293,a)]. 8416 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(8293(a,2),6382(a,1,2))]. 8417 (x * (K(y,z) * K(x,u))) * K(z,y) != w | T(x,T(u,K(y,z))) = w. [para(8293(a,1),6675(a,1,1)),flip(b)]. 8418 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(7053(a,1),8296(a,1,2,2)),flip(a)]. 8419 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(7231(a,1),8296(a,1,2,2)),flip(a)]. 8420 K(x,T(T(K(y,x) * z,u),w)) = K(x,T(T(z,u),w)). [para(7124(a,1),8297(a,1,2,1)),flip(a)]. 8421 K((x \ y) \ 1,T(z,y)) = K((y / x) \ 1,z). [hyper(255,a,5998,a,b,8315,a)]. 8422 K(x,T(y,z * L(K(u,x),w,v5))) = K(x,T(y,z)). [para(6475(a,1),8333(a,1,2,2,2))]. 8423 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(255,a,7797,a(flip),b,8360,a)]. 8424 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(70(a,1),8423(a,1,2,2)),flip(a)]. 8426 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5608(a,1),8362(a,1,1)),flip(a)]. 8427 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(8362(a,1),6642(a,1,3))]. 8428 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(8235(a,1),8362(a,1,1))]. 8429 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(7345,a,8427,a)]. 8430 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(255,a,8219,a(flip),b,8373,a(flip))]. 8431 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(6053(a,1),8375(a,1,2,2)),flip(a)]. 8432 K(x,K(y,z * K(u,x))) = K(x,K(y,z)). [para(8276(a,1),8375(a,1,2,2)),flip(a)]. 8433 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(8376(a,1),6675(a,1,1)),flip(b)]. 8434 x \ T(y,K(z,x)) = T(x \ y,K(z,x)). [hyper(5047,a,8386,a)]. 8435 K(x,K(y / z,y)) = K(x,K(z,y)). [hyper(255,a,8190,a(flip),b,8397,a)]. 8436 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(70(a,1),8435(a,1,2,1)),flip(a)]. 8437 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(8183,a,8436,a)]. 8438 K(x,K(y,z \ y)) = K(x,K(y,z)). [hyper(255,a,8154,a,b,8437,a)]. 8439 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(255,a,8189,a,b,8437,a(flip)),flip(a)]. 8440 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(255,a,8189,a,b,8438,a(flip)),flip(a)]. 8442 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(8183,a,8439,a)]. 8443 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(8156,a,8439,a)]. 8444 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(255,a,8134,a,b,8439,a)]. 8445 K(x,K(y,z / (u * z))) = K(x,K(u,y)). [para(5782(a,2),8439(a,1,2))]. 8446 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6580(a,1),8439(a,1,2)),flip(a)]. 8447 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(8439(a,2),8183(a,1))]. 8448 K(x,K(y \ 1,z)) = K(z,K(x,y)). [hyper(8176,a,8440,a)]. 8449 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(8156,a,8440,a)]. 8451 T(x,K(y,z \ 1)) = x * K(x,K(y,z)). [para(8440(a,1),5252(a,2,2))]. 8454 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(8440(a,1),8112(a,1,2))]. 8456 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(255,a,8134,a,b,8442,a)]. 8458 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(6217(a,2),8442(a,1,2))]. 8459 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(255,a,8134,a,b,8443,a)]. 8463 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(6225(a,1),8448(a,1,2)),flip(a)]. 8464 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(7107,a,8449,a)]. 8479 T(x,T(T(y,z),z)) = T(x,y). [hyper(22,a,7787,a,b,8403,a(flip)),flip(a)]. 8480 (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). [para(8403(a,2),180(a,1,1,1))]. 8481 T(x,T(y \ z,y)) = T(x,z / y). [para(129(a,1),8479(a,1,2,1))]. 8482 T(x,(y * z) / y) = T(x,T(z,y)). [para(166(a,1),8479(a,1,2,1)),flip(a)]. 8484 T(x,y * K(z,y)) = T(x,T(y,z)). [para(5216(a,1),8479(a,1,2,1)),flip(a)]. 8486 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(8479(a,1),8095(a,2,2))]. 8489 T(x,(y * L(z,u,w)) / y) = T(x,L(T(z,y),u,w)). [para(45(a,2),8482(a,2,2))]. 8490 T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). [para(775(a,2),8482(a,1,2))]. 8492 T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). [hyper(255,a,4889,a,b,8484,a(flip)),flip(a)]. 8498 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(8424(a,1),7861(a,1,2))]. 8500 K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). [para(8432(a,1),8151(a,1,1))]. 8501 T(x \ K(x,y),K(z,x)) = x \ K(x,y). [para(2074(a,1),8434(a,1,2)),flip(a)]. 8502 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(8445(a,2),8183(a,1))]. 8503 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(7120(a,1),8446(a,1,2)),flip(a)]. 8504 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(8446(a,1),8183(a,1))]. 8505 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(255,a,5252,a,b,8451,a)]. 8507 T(x,K(y \ 1,z)) = T(x,K(z,y)). [hyper(8214,a,8505,a)]. 8508 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(255,a,7852,a(flip),b,8505,a(flip))]. 8518 T(x,T(y,z)) * T(z,x) = z * T(x,y). [hyper(5936,a,8486,a)]. 8519 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(81,a,8486,a(flip),b,5538,a(flip))]. 8521 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(7580(a,1),8486(a,1,1))]. 8523 T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). [para(8501(a,1),8208(a,1,1)),flip(a)]. 8524 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(255,a,7852,a(flip),b,8508,a(flip))]. 8525 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(255,a,5252,a(flip),b,8524,a)]. 8529 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [hyper(81,a,274,a(flip),b,8518,a)]. 8530 (x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u. [para(8518(a,1),304(a,1,1)),flip(b)]. 8532 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1990(a,1),8519(a,1,1,2))]. 8533 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(7970(a,1),8519(a,1,1,2)),flip(a)]. 8535 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(5323,a,8525,a)]. 8539 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(255,a,7884,a(flip),b,8535,a(flip)),flip(a)]. 8540 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(255,a,7883,a(flip),b,8535,a(flip)),flip(a)]. 8542 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(255,a,7536,a(flip),b,8535,a(flip)),flip(a)]. 8544 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6850(a,1),8535(a,1,2))]. 8548 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(584(a,1),8539(a,1,2)),flip(a)]. 8551 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(8544(a,1),7900(a,1))]. 8555 K(T(x,y \ z),y) != u | K(T(x,z),y) = u. [para(8268(a,2),8338(a,1))]. 8558 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(129(a,1),8359(a,1,2,2)),flip(a)]. 8559 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(7522(a,2),8407(a,1))]. 8560 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(7539(a,2),8407(a,1))]. 8561 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(5786(a,1),8447(a,1,2))]. 8565 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(7883(a,2),8551(a,1))]. 8566 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(4455(a,1),8559(a,1,1))]. 8567 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(7589(a,1),8559(a,1))]. 8571 K(x,T(y * z,z)) != u | K(x,T(y * z,y)) = u. [para(7541(a,1),8565(a,1))]. 8572 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(255,a,6039,a(flip),b,7937,a(flip))]. 8573 K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). [para(19(a,1),7941(a,1,2,2,2))]. 8574 K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). [para(8082(a,1),7941(a,1,2)),flip(a)]. 8575 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(8089(a,2),7941(a,1,2))]. 8576 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(5255,a,7945,a),flip(a)]. 8577 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(255,a,7792,a,b,8576,a(flip)),flip(a)]. 8579 T(x,T((y / z) \ 1,y)) = T(x,y \ z). [para(73(a,1),8577(a,2,2,2))]. 8582 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [para(8579(a,1),8225(a,1,1)),flip(a)]. 8585 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(3513,a,8103,a),flip(a)]. 8586 K(x,K(y,R(x,z,u))) = 1. [para(126(a,1),8585(a,1,2,2,1))]. 8587 T(x,K(y,R(x,z,u))) = x. [hyper(42,a,8586,a)]. 8588 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(8587(a,1),43(a,1,1)),flip(a)]. 8589 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(6673(a,2),8155(a,1,2))]. 8590 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(8194(a,1),7542(a,1,1)),flip(a)]. 8591 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(8481(a,1),8224(a,1,1))]. 8592 T(K(x \ y,z),y) != u | K(y / x,z) = u. [para(8228(a,1),5493(a,1))]. 8593 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(7539(a,2),8592(a,1))]. 8594 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4506(a,1),8250(a,1,1,1)),flip(a)]. 8595 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(8250(a,1),8050(a,1,1,1))]. 8596 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(255,a,7944,a(flip),b,8259,a(flip))]. 8597 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1795(a,1),8260(a,1,1))]. 8598 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1795(a,1),8261(a,1,2))]. 8599 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(8403(a,1),8271(a,1,1))]. 8601 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(255,a,7216,a(flip),b,8283,a)]. 8602 K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. [para(8283(a,2),7217(a,1))]. 8604 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(255,a,6718,a(flip),b,8294,a)]. 8605 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(6105(a,1),8604(a,1,1))]. 8607 K(x \ (y \ z),y) * z = z * K((y \ z) / x,y). [para(8298(a,1),7559(a,1,2)),flip(a)]. 8608 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(255,a,6390,a(flip),b,8307,a)]. 8610 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(8560,a,8314,a)]. 8611 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(8369(a,1),7781(a,2,1))]. 8612 K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w. [para(8377(a,2),8136(a,1))]. 8613 T(T(x,y),K(z,x * y)) = T(x,T(y,z)). [hyper(255,a,7855,a(flip),b,8394,a)]. 8615 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(5830,a,8395,a)]. 8616 K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,x)). [para(73(a,1),8421(a,1,1,1)),flip(a)]. 8617 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8429(a,2),5619(a,1,1))]. 8618 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(255,a,8112,a(flip),b,8454,a(flip))]. 8621 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(8618(a,1),7871(a,1))]. 8631 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(129(a,1),8498(a,1,2,2)),flip(a)]. 8633 T(x,y) * T(x \ K(x,z),x) = (x \ K(x,z)) * T(x,y). [para(8523(a,1),127(a,1,2))]. 8635 K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). [hyper(255,a,7819,a(flip),b,8572,a(flip))]. 8636 K(x,T(y,(y * z) \ u)) = K(x,T(y,z \ u)). [para(7518(a,2),8574(a,1,2))]. 8637 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). [hyper(255,a,8115,a,b,8575,a),flip(a)]. 8638 K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). [para(6413(a,1),8589(a,1,1,2))]. 8639 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(8100(a,1),8599(a,2,1))]. 8641 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(5680,a,8605,a)]. 8642 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(8608(a,2),7559(a,2,1)),flip(a)]. 8643 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(8615(a,1),182(a,1,2))]. 8646 T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). [para(8635(a,1),5291(a,2,2,2))]. 8647 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(7900,a,8636,a),flip(a)]. 8652 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [hyper(255,a,6408,a,b,8647,a)]. 8653 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(255,a,6408,a,b,8652,a(flip)),flip(a)]. 8654 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(18(a,1),8653(a,1,2,2)),flip(a)]. 8655 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(255,a,7046,a(flip),b,7440,a)]. 8656 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(439(a,1),8655(a,1,2)),flip(a)]. 8657 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(5600(a,1),7600(a,1))]. 8659 K(x,y) * (T(z,K(x,y)) * R(K(y,u),w,v5)) = (z * K(x,y)) * R(K(y,u),w,v5). [para(7756(a,1),430(a,1,2)),flip(a)]. 8660 L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)). [hyper(255,a,7702,a(flip),b,7804,a)]. 8661 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ (x \ ((y * L(y \ z,u,w)) * x))). [para(1934(a,1),7806(a,1,2,2,2)),flip(a)]. 8662 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(4418(a,1),7807(a,2,2,2,2))]. 8664 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(255,a,6382,a(flip),b,7998,a(flip)),flip(a)]. 8665 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(255,a,7988,a(flip),b,8664,a)]. 8666 K(x,y * K(z,x)) != u | K(x,y) = u. [para(8664(a,1),7483(a,1))]. 8668 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(51(a,1),8665(a,1,2))]. 8669 K(x,y * x) != z | K(x,x * y) = z. [para(104(a,1),8666(a,1,2))]. 8670 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(1560(a,1),8666(a,1,2))]. 8674 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(7047(a,2),8669(a,1))]. 8675 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(255,a,7208,a(flip),b,8010,a(flip)),flip(a)]. 8676 K(R(x,K(y,z),u),z) = K(x,z). [hyper(255,a,8007,a(flip),b,8675,a)]. 8678 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(51(a,1),8676(a,1,1))]. 8679 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(255,a,7046,a(flip),b,8026,a(flip)),flip(a)]. 8680 K(L(x,K(y,z),u),y) = K(x,y). [hyper(255,a,8017,a(flip),b,8679,a)]. 8681 K(L(x,K(y,z),u),y) != w | K(x,y) = w. [para(8679(a,2),8069(a,1))]. 8683 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(241(a,1),8680(a,1,1))]. 8684 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(7759(a,2),8081(a,1))]. 8685 K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. [para(7761(a,1),8081(a,1))]. 8686 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(8115(a,1),8120(a,1))]. 8687 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(8169(a,2),8120(a,1,2))]. 8689 K(x,y / z) != u | T(K(x,z \ y),z) = u. [para(8255(a,1),8686(a,1))]. 8690 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(8430(a,2),8345(a,1))]. 8691 K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. [para(7783(a,1),8353(a,1,2))]. 8693 K(x,T(y,z * (u * K(w,x)))) = K(x,T(y,z * u)). [para(112(a,1),8422(a,1,2,2))]. 8694 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(7522(a,1),8657(a,1,1))]. 8695 K(x \ (y * z),z) != u | K((x / z) \ y,z) = u. [para(21(a,1),8684(a,1,1,1))]. 8697 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(7846(a,1),8684(a,1))]. 8698 K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. [para(6098(a,2),8694(a,1))]. 8699 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(7030(a,2),8697(a,1))]. 8700 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(422,a,7419,a)]. 8701 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [hyper(7305,a,8700,a)]. 8704 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(255,a,8252,a(flip),b,7437,a(flip))]. 8705 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(255,a,8608,a(flip),b,8704,a(flip))]. 8706 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(255,a,8307,a(flip),b,8704,a(flip)),flip(a)]. 8707 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(8704(a,2),7651(a,1,1))]. 8708 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(27,a,8705,a)]. 8709 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(255,a,8066,a,b,8705,a(flip)),flip(a)]. 8710 K(x,((x * y) / z) \ x) = K(x,z / y). [para(18(a,1),8705(a,1,2,2)),flip(a)]. 8711 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(8705(a,1),6373(a,1,1))]. 8712 K(x,(y * x) / z) = K(x,(x * y) / z). [hyper(255,a,8066,a,b,8706,a),flip(a)]. 8713 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(19(a,1),8706(a,1,2,1)),flip(a)]. 8714 K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u. [para(8706(a,1),6392(a,1))]. 8715 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [hyper(8689,a,8709,a)]. 8716 K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). [hyper(255,a,8305,a,b,8709,a(flip)),flip(a)]. 8718 x * K(x,(x * y) / z) = T(x,(y * x) / z). [para(8712(a,1),5252(a,2,2)),flip(a)]. 8719 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(8712(a,2),6392(a,1))]. 8720 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(8038,a,8713,a)]. 8722 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(20(a,1),8720(a,1,2,2))]. 8723 K(x,y / ((x \ z) * x)) = K(x,y / z). [hyper(255,a,8713,a(flip),b,8722,a(flip))]. 8724 K(x,y / (z * x)) = K(x,y / (x * z)). [para(18(a,1),8723(a,1,2,2,1))]. 8725 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(255,a,7395,a(flip),b,8724,a)]. 8726 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(123(a,2),8724(a,2,2)),flip(a)]. 8728 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(21(a,1),8725(a,1,2,2,1)),flip(a)]. 8729 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(4656(a,1),8725(a,1,2,2,1))]. 8730 K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. [para(8305(a,2),8719(a,1))]. 8731 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(255,a,5390,a(flip),b,8726,a(flip)),flip(a)]. 8732 T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)). [para(7465(a,1),1061(a,1,1,2))]. 8733 T(K(x,y) * (z * K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * z). [para(7465(a,1),8196(a,1,1))]. 8734 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(47(a,2),7547(a,2,2))]. 8735 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(7614(a,1),7568(a,1,1,2)),flip(a)]. 8736 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(8099(a,1),7570(a,1,1))]. 8737 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(255,a,7648,a(flip),b,7609,a(flip))]. 8738 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(8479(a,1),8737(a,1,1,2))]. 8740 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(47(a,2),7684(a,2,2))]. 8741 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(87,a,7691,a)]. 8743 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(20(a,1),7704(a,1,1,1,1,2))]. 8744 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(255,a,5055,a(flip),b,7706,a(flip))]. 8745 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(7754(a,1),8199(a,1,2))]. 8746 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(27,a,7762,a)]. 8747 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(18(a,1),7762(a,2,2,1,2))]. 8748 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(422,a,7770,a)]. 8749 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(7304,a,8748,a)]. 8750 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(255,a,7349,a(flip),b,7805,a(flip)),flip(a)]. 8751 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(7810(a,1),5564(a,1,2))]. 8752 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4906(a,1),7822(a,1,1))]. 8753 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(23,a,5263,a(flip),b,7829,a),flip(a)]. 8757 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(6189(a,1),8753(a,1,1,2))]. 8758 K(x,y) * K(z \ 1,x) = z * T(z \ K(x,y),x). [para(8753(a,1),6643(a,2,2)),flip(a)]. 8759 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). [para(8757(a,1),5992(a,1,1,1,2)),flip(a)]. 8760 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [hyper(255,a,6634,a(flip),b,7832,a)]. 8761 T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). [para(8760(a,1),5252(a,2,2))]. 8763 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(6672(a,1),8760(a,1,2,1)),flip(a)]. 8764 K(x,((y * K(z,x)) * u) \ w) = K(x,(y * u) \ w). [para(7231(a,1),8760(a,1,2,1)),flip(a)]. 8765 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7559(a,1),8760(a,1,2,1))]. 8766 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7572(a,1),8760(a,1,2,1)),flip(a)]. 8768 K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). [para(6475(a,1),8763(a,1,2,1,2))]. 8769 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(7586(a,1),8763(a,1,2,1,2))]. 8770 K(x,y \ T(x,z)) = K(x,y \ x). [hyper(255,a,7000,a(flip),b,8765,a(flip))]. 8771 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(29(a,2),8765(a,1,2)),flip(a)]. 8772 K(x,T(y,z) \ x) = K(x,T(y \ x,z)). [hyper(255,a,7577,a(flip),b,8770,a(flip))]. 8773 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(129(a,1),8770(a,1,2,2)),flip(a)]. 8774 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(255,a,7730,a(flip),b,8766,a(flip)),flip(a)]. 8775 K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). [hyper(255,a,7598,a(flip),b,8772,a)]. 8777 K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(255,a,6997,a(flip),b,8772,a(flip))]. 8779 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(5536(a,1),8774(a,1,2,2)),flip(a)]. 8781 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(8774(a,1),7539(a,2,1))]. 8782 K(x,y \ (z * K(x,u))) = K(x,y \ z). [para(8235(a,1),8774(a,1,2,2))]. 8783 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(8276(a,1),8774(a,1,2,2)),flip(a)]. 8784 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(6576(a,1),8782(a,1,2,2))]. 8786 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [para(7231(a,1),8782(a,1,2,2)),flip(a)]. 8787 K(x,y \ (z * L(K(u,x),w,v5))) = K(x,y \ z). [para(6475(a,1),8783(a,1,2,2,2))]. 8788 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [hyper(255,a,5252,a,b,8761,a)]. 8789 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(7053(a,1),8788(a,1,2,1)),flip(a)]. 8790 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [para(7559(a,1),8788(a,1,2,1))]. 8791 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(7572(a,1),8788(a,1,2,1)),flip(a)]. 8792 T(x,y \ K(x,z)) = T(x,y \ 1). [hyper(255,a,6854,a(flip),b,8790,a(flip))]. 8793 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(8792(a,1),6082(a,1,2,1))]. 8795 K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). [para(6686(a,1),8775(a,1,2,1))]. 8796 K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). [para(112(a,1),8768(a,1,2,1))]. 8797 K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). [para(112(a,1),8787(a,1,2,2))]. 8798 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(7851(a,1),7323(a,1,3,2))]. 8800 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(255,a,8791,a(flip),b,7912,a(flip)),flip(a)]. 8802 T(x,y \ T(x,z)) = T(x,y \ x). [para(5207(a,1),8800(a,1,2,2)),flip(a)]. 8803 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5846(a,1),8800(a,1,2,2))]. 8805 T(x,T(y,z) \ x) = T(x,T(y \ x,z)). [hyper(255,a,7679,a(flip),b,8802,a(flip))]. 8806 T(x,(T(x,y) / z) \ x) = T(x,z). [para(73(a,1),8802(a,1,2)),flip(a)]. 8808 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(7933(a,1),7279(a,1,2))]. 8809 T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). [hyper(255,a,5291,a,b,7940,a)]. 8810 T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). [para(18(a,1),8809(a,1,2,2,1)),flip(a)]. 8811 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). [para(1151(a,1),8809(a,1,2,2,1)),flip(a)]. 8812 T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). [hyper(255,a,7518,a(flip),b,8810,a(flip)),flip(a)]. 8813 T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). [hyper(255,a,6854,a(flip),b,8812,a(flip))]. 8814 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(18(a,1),7946(a,1,1,2)),flip(a)]. 8815 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(47(a,2),8054(a,1,2,1))]. 8817 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(6483(a,1),8123(a,1,1)),flip(a)]. 8818 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(6672(a,1),8124(a,1,1)),flip(a)]. 8819 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(255,a,8429,a(flip),b,8217,a)]. 8821 T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). [para(47(a,1),8238(a,1,1))]. 8822 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(5832,a,8239,a)]. 8823 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [hyper(255,a,5295,a(flip),b,8822,a(flip))]. 8825 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(7970(a,1),8248(a,1,1,1,2))]. 8828 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(8329(a,1),5252(a,2,2))]. 8830 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(255,a,5082,a,b,8331,a(flip)),flip(a)]. 8831 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(255,a,8112,a(flip),b,8354,a)]. 8834 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(255,a,8113,a(flip),b,8355,a)]. 8835 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(6100(a,1),8834(a,1,2))]. 8836 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4563(a,1),8371(a,1,2,2,2))]. 8837 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(y,K(u / (x * z),x)). [para(8281(a,1),8374(a,1,2,2)),flip(a)]. 8839 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [hyper(255,a,8616,a(flip),b,8402,a(flip))]. 8840 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(104(a,1),8419(a,1,2,2,1))]. 8841 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(x * z,u),w)). [para(5226(a,1),8420(a,1,2,1,1)),flip(a)]. 8842 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(5896(a,1),8458(a,2,2))]. 8843 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(8443(a,1),8464(a,1,1))]. 8844 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(8449(a,1),8464(a,1,1))]. 8845 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(8459(a,1),8464(a,1,1))]. 8847 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(255,a,8843,a(flip),b,8844,a(flip))]. 8850 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(255,a,8844,a(flip),b,8845,a(flip))]. 8851 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(255,a,8843,a(flip),b,8845,a(flip))]. 8852 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(255,a,8817,a(flip),b,8845,a(flip)),flip(a)]. 8856 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(241(a,1),8850(a,2,2,2))]. 8859 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(255,a,8134,a,b,8852,a)]. 8861 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(8859(a,2),8136(a,1))]. 8863 T(x,L((y * z) / y,u,w)) = T(x,L(T(z,y),u,w)). [para(767(a,2),8489(a,1,2))]. 8864 T(x,L(y * K(z,y),u,w)) = T(x,L(T(y,z),u,w)). [para(5431(a,2),8489(a,1,2))]. 8865 T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). [para(47(a,2),8490(a,2,2))]. 8868 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(8529(a,1),6620(a,1,1,1))]. 8869 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(255,a,8519,a(flip),b,8533,a)]. 8870 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(6886(a,1),8869(a,1,2,1)),flip(a)]. 8871 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(8548(a,1),5457(a,1,2))]. 8872 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(8548(a,2),8144(a,2,1))]. 8873 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(255,a,8540,a(flip),b,8573,a)]. 8881 K((x \ y) / z,x) = K(y / (x * z),x). [hyper(22,a,8398,a(flip),b,8607,a(flip))]. 8882 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(255,a,8251,a,b,8610,a),flip(a)]. 8883 K(T(x * y,y) / x,z) = K(y,z). [hyper(8681,a,8882,a),flip(a)]. 8885 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(19(a,1),8883(a,1,1,1,1))]. 8886 K(x \ T(y,x \ y),x) = K(x \ y,x). [hyper(5665,a,8885,a)]. 8887 K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K((T(x,y) / z) \ x,T(x,y) / z). [para(8806(a,1),8886(a,1,1,2))]. 8888 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(8641(a,1),3534(a,1,2)),flip(a)]. 8889 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(255,a,8018,a(flip),b,8683,a)]. 8892 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(7053(a,1),8889(a,1,1,1)),flip(a)]. 8893 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7572(a,1),8889(a,1,1,1)),flip(a)]. 8894 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(8242(a,1),8889(a,1,1,1,2))]. 8897 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(255,a,7727,a(flip),b,8893,a(flip)),flip(a)]. 8899 K(x \ T(y,z),y) = K(x \ y,y). [para(5263(a,2),8897(a,1,1,2))]. 8900 K(x \ (K(y,z) * u),z) = K(x \ u,z). [para(5608(a,1),8897(a,1,1,2)),flip(a)]. 8901 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(5409(a,1),8897(a,1,1,2)),flip(a)]. 8902 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(5536(a,1),8897(a,1,1,2)),flip(a)]. 8904 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(8242(a,1),8897(a,1,1,2,1))]. 8905 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(8235(a,1),8897(a,1,1,2))]. 8906 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(255,a,7188,a(flip),b,8899,a(flip))]. 8908 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(6027(a,1),8900(a,1,1,2))]. 8909 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(7053(a,1),8905(a,1,1,2)),flip(a)]. 8911 K(((x * y) \ x) \ z,T(z,K(y,u))) = K(L(y \ 1,y,x) \ z,z). [para(1287(a,1),8906(a,1,1,1)),flip(a)]. 8912 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(175(a,1),8908(a,1,1)),flip(a)]. 8914 K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). [para(7525(a,1),8693(a,1,2,2,2))]. 8915 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(255,a,8779,a(flip),b,8701,a)]. 8917 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5899,a,8708,a)]. 8918 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(255,a,8064,a,b,8917,a(flip)),flip(a)]. 8919 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7539(a,2),8734(a,1,1))]. 8921 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(8223(a,1),8736(a,1,1))]. 8922 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(18(a,1),8740(a,1,2,1,2)),flip(a)]. 8923 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(22,a,7400,a(flip),b,8744,a)]. 8925 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(8923(a,1),6670(a,1,1,2)),flip(a)]. 8926 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(255,a,8902,a(flip),b,8749,a)]. 8928 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(8926(a,1),8138(a,2,2))]. 8929 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(21(a,1),8750(a,1,2,1,2)),flip(a)]. 8930 K(x,((1 / y) * y) \ (x \ z)) = K(x,L(x,y,y \ 1) \ z). [para(3043(a,1),8750(a,1,2,1)),flip(a)]. 8931 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(8750(a,1),6670(a,1,1,2))]. 8932 K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). [para(263(a,1),8764(a,1,2,1,1))]. 8933 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(255,a,8409,a(flip),b,8773,a(flip))]. 8934 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(255,a,7539,a,b,8781,a)]. 8935 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(255,a,7943,a(flip),b,8784,a(flip))]. 8936 K(x,y \ ((z * K(x,u)) * w)) = K(x,y \ (z * w)). [para(6672(a,1),8786(a,1,2,2,1)),flip(a)]. 8937 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(7525(a,1),8796(a,1,2,1,2))]. 8938 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(7525(a,1),8797(a,1,2,2,2))]. 8939 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(8803(a,1),5195(a,1,1,1))]. 8940 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1939(a,1),8814(a,1,2)),flip(a)]. 8941 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1965(a,1),8814(a,1,2)),flip(a)]. 8942 (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). [para(5958(a,1),8818(a,1,1))]. 8943 T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). [hyper(172,a,8821,a(flip),b,4145,a(flip))]. 8945 K(L(K(x,y),z,u),w) = K(w,L(K(x,y),z,u)). [hyper(22,a,5252,a(flip),b,8823,a)]. 8946 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(255,a,8859,a(flip),b,8945,a(flip))]. 8947 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(255,a,8847,a,b,8946,a)]. 8950 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(7009(a,1),8947(a,1,2)),flip(a)]. 8951 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(5323,a,8830,a)]. 8952 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(6008(a,1),8951(a,1,2,1)),flip(a)]. 8953 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(255,a,8831,a(flip),b,8835,a)]. 8955 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(6673(a,1),8953(a,1,2))]. 8956 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(8955(a,1),8819(a,1,2))]. 8958 T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). [para(4524(a,1),8865(a,1,2,1)),flip(a)]. 8962 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(255,a,7497,a,b,8870,a(flip)),flip(a)]. 8964 R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). [para(8901(a,1),5996(a,1,1,1,2))]. 8965 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(5175(a,1),8904(a,1,1,2)),flip(a)]. 8966 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(424(a,1),8909(a,2,1))]. 8967 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(19(a,1),8919(a,1,2)),flip(a)]. 8968 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(5505,a,8922,a)]. 8969 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(7354,a,8929,a)]. 8970 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(5263(a,2),8934(a,1,2,1,2))]. 8971 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(7601(a,1),8934(a,1,2,1,2))]. 8972 K(x,y \ (((z / x) * u) * w)) = K(x,y \ (((x \ z) * u) * w)). [para(6957(a,1),8936(a,1,2,2,1))]. 8973 K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). [para(424(a,1),8938(a,1,2))]. 8975 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(255,a,8851,a,b,8950,a(flip)),flip(a)]. 8976 K((x \ y) \ z,T(z,u)) = K(y \ (z * x),T(z,u)). [hyper(255,a,7695,a,b,8965,a(flip)),flip(a)]. 8977 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(255,a,332,a(flip),b,8967,a)]. 8978 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(255,a,7539,a(flip),b,8977,a)]. 8979 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [para(17(a,1),8969(a,2,2,1))]. 8980 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(18(a,1),8969(a,1,2,1,2)),flip(a)]. 8981 K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). [para(21(a,1),8979(a,1,2,1)),flip(a)]. 8982 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (y / (x \ 1))) \ u). [para(8981(a,1),6989(a,1,1))]. 8983 K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). [hyper(255,a,8601,a(flip),b,8976,a)]. 8984 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [para(18(a,1),8983(a,1,1,1)),flip(a)]. 8985 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(255,a,5735,a(flip),b,8984,a(flip)),flip(a)]. 8986 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(8070,a,8985,a)]. 8988 L(T(K(x,T(y,z)),u * (K(y,x) * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [hyper(81,a,7629,a(flip),b,8237,a),flip(a)]. 8989 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). [para(1425(a,1),7633(a,1,2)),flip(a)]. 8990 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(255,a,5388,a(flip),b,7808,a)]. 8992 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(7556(a,1),7841(a,1,2))]. 8993 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(255,a,5726,a(flip),b,8992,a(flip))]. 8994 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [para(8993(a,1),167(a,1,1,2))]. 8995 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(6975(a,1),8994(a,1,1))]. 8996 K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u. [para(8770(a,1),7903(a,1))]. 8998 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(255,a,8269,a(flip),b,8330,a)]. 8999 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(5354(a,1),8998(a,1,2,2))]. 9000 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(80,a,8808,a(flip),b,5545,a),flip(a)]. 9001 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). [para(8808(a,1),33(a,2,2,2)),flip(a)]. 9008 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(80,a,8871,a(flip),b,5545,a),flip(a)]. 9009 K(x,y) * K(y * R(x,z,u),x) = x \ R(x,y,R(x,z,u)). [hyper(80,a,8871,a(flip),b,5220,a),flip(a)]. 9010 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(8871(a,1),5915(a,1,1)),flip(a)]. 9011 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(255,a,7424,a(flip),b,8968,a(flip)),flip(a)]. 9012 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(422,a,7420,a)]. 9013 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(7420(a,1),6693(a,1,1))]. 9014 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(255,a,7046,a(flip),b,9012,a(flip)),flip(a)]. 9015 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(255,a,7267,a(flip),b,7441,a(flip)),flip(a)]. 9017 K(x,K(y \ x,y) * z) = K(x,z). [para(18(a,1),9015(a,1,2)),flip(a)]. 9018 K(x,y * K(z \ x,z)) = K(x,y). [hyper(255,a,7680,a(flip),b,9017,a(flip)),flip(a)]. 9019 K(x * y,K(y,x) * z) = K(x * y,z). [para(18(a,1),9017(a,1,2,1,1))]. 9020 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5877(a,1),9017(a,1,2)),flip(a)]. 9022 K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)) = K(x,y \ z). [para(6967(a,1),9018(a,1,2)),flip(a)]. 9023 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(9019(a,1),5216(a,1,1,2))]. 9024 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(255,a,7164,a(flip),b,7515,a(flip)),flip(a)]. 9026 K(K(x \ y,x) * z,y) = K(z,y). [hyper(255,a,615,a(flip),b,9024,a(flip))]. 9028 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(9026(a,1),5252(a,2,2)),flip(a)]. 9029 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(255,a,8815,a(flip),b,7665,a)]. 9031 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(255,a,7208,a(flip),b,7687,a(flip))]. 9032 K(R(x,y,z),T(u,x * w)) = K(R(x,y,z),T(u,w)). [para(18(a,1),9031(a,1,2,2)),flip(a)]. 9033 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [para(9031(a,1),5382(a,1,1))]. 9034 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(454,a,7717,a)]. 9035 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(5175(a,1),7717(a,1,1)),flip(a)]. 9036 (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(7717(a,1),5543(a,1,1,2))]. 9037 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(255,a,7208,a(flip),b,9034,a(flip)),flip(a)]. 9038 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(255,a,6374,a(flip),b,9034,a(flip)),flip(a)]. 9039 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(9037(a,1),5263(a,2,1)),flip(a)]. 9040 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. [para(9037(a,1),5699(a,1,1,1)),flip(a)]. 9041 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(454,a,7718,a)]. 9042 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(255,a,7208,a(flip),b,9041,a(flip)),flip(a)]. 9043 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(255,a,8250,a(flip),b,9042,a(flip))]. 9044 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(255,a,8242,a(flip),b,9043,a(flip))]. 9046 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(9044(a,1),5292(a,2,1,1))]. 9047 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(255,a,5292,a,b,9046,a)]. 9048 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(422,a,7771,a)]. 9049 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(255,a,7046,a(flip),b,9048,a(flip)),flip(a)]. 9050 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(255,a,7009,a(flip),b,9048,a(flip)),flip(a)]. 9051 K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). [para(4534(a,1),9049(a,1,1))]. 9057 K(x,K(y,T(z,x * u))) = K(x,K(y,T(z,u))). [hyper(22,a,7654,a,b,7934,a),flip(a)]. 9058 K(x,K(y,T(z,x \ u))) = K(x,K(y,T(z,u))). [para(19(a,1),9057(a,1,2,2,2)),flip(a)]. 9059 K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). [hyper(255,a,8075,a(flip),b,8029,a(flip))]. 9060 K(x * (R(x,y,x) \ z),x) = K(z,x). [hyper(255,a,8033,a(flip),b,9059,a)]. 9061 K(R(x,y,x) * z,x) = K(x * z,x). [para(18(a,1),9060(a,1,1,2)),flip(a)]. 9062 K(x * R(y,z,y),y) = K(y * x,y). [hyper(255,a,8059,a(flip),b,9061,a(flip)),flip(a)]. 9063 T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). [para(9062(a,1),5291(a,2,2,2))]. 9064 T(x,y * R(x,z,x)) = T(x,x * y). [hyper(255,a,5291,a,b,9063,a)]. 9065 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(255,a,5252,a(flip),b,9064,a)]. 9066 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(5323,a,9065,a)]. 9067 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(255,a,8053,a,b,9066,a(flip)),flip(a)]. 9068 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(255,a,7432,a,b,9067,a(flip)),flip(a)]. 9069 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(6209(a,1),8117(a,1,1)),flip(a)]. 9070 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(8100(a,1),8118(a,1,1))]. 9071 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(6209(a,1),8157(a,1,2)),flip(a)]. 9072 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(255,a,9069,a,b,9071,a(flip)),flip(a)]. 9073 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(8134(a,1),9072(a,1,1))]. 9074 R(K(x,K(y,z)),y,u) = K(x,K(y,z)). [para(4395(a,1),9073(a,2,2))]. 9075 x * R(K(x,K(y,z)),u,w) = T(x,R(K(y,z),u,w)). [para(9073(a,2),5252(a,2,2)),flip(a)]. 9078 K(x,T(y,T(y * z,u))) = K(x,T(y,T(z,u))). [para(8613(a,1),8226(a,1,2)),flip(a)]. 9079 K(x,T(y,T(y * x,z))) = K(x,y). [hyper(255,a,5642,a(flip),b,9078,a)]. 9080 K(x \ y,T(x,T(y,z))) = K(x \ y,x). [para(19(a,1),9079(a,1,2,2,1))]. 9081 K((1 / (T(x,y) \ z)) \ x,T(1 / (T(x,y) \ z),T(T(x,y),z))) = K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)). [para(7868(a,2),9080(a,1,2))]. 9082 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(255,a,8262,a(flip),b,8272,a)]. 9084 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(19(a,1),9082(a,1,2)),flip(a)]. 9085 R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). [hyper(255,a,6385,a,b,9084,a(flip)),flip(a)]. 9088 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(5608(a,1),9085(a,1,2)),flip(a)]. 9090 L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). [hyper(255,a,8261,a(flip),b,8273,a)]. 9092 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(255,a,7010,a(flip),b,9090,a(flip)),flip(a)]. 9093 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(127(a,1),9090(a,1,2))]. 9096 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(255,a,7046,a(flip),b,9093,a(flip)),flip(a)]. 9097 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [hyper(255,a,7032,a(flip),b,9093,a(flip))]. 9099 L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). [para(5220(a,1),9093(a,1,2))]. 9101 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(7559(a,1),9092(a,1,2,2))]. 9103 L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). [hyper(255,a,8260,a(flip),b,8274,a)]. 9105 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(127(a,1),9103(a,1,2))]. 9106 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(169(a,1),9103(a,1,2)),flip(a)]. 9107 K(L(x,y,z),x * y) = K(x,x * y). [hyper(8037,a,9105,a),flip(a)]. 9108 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(255,a,6988,a(flip),b,9105,a(flip))]. 9109 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(5184(a,2),9105(a,1,2)),flip(a)]. 9110 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(8242(a,1),9105(a,1,1))]. 9111 K(L(x,x \ 1,y),z) = K(x,z). [hyper(255,a,322,a(flip),b,9106,a)]. 9112 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(255,a,8260,a(flip),b,9111,a(flip))]. 9113 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(255,a,8242,a(flip),b,9112,a(flip))]. 9115 L(K(x,y),K(z,x),u) = K(x,y). [hyper(255,a,9113,a(flip),b,9109,a(flip))]. 9117 L(R(K(x,y),z,u),K(w,x),v5) = R(K(x,y),z,u). [para(9115(a,1),49(a,1,1)),flip(a)]. 9118 L(L(K(x,y),z,u),K(w,x),v5) = L(K(x,y),z,u). [para(9115(a,1),50(a,1,1)),flip(a)]. 9119 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(9115(a,1),112(a,1,2))]. 9120 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(9115(a,1),428(a,1,2,1))]. 9122 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(9117(a,1),6695(a,1,2)),flip(a)]. 9125 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(9118(a,1),6695(a,1,2)),flip(a)]. 9126 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(6674,a,9119,a)]. 9127 R(x,K(y,z),K(z,u)) = x. [hyper(454,a,9119,a)]. 9128 (x * K(y,z)) * K(u,y) = x * (K(u,y) * K(y,z)). [hyper(255,a,7236,a,b,9119,a(flip)),flip(a)]. 9129 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(255,a,7065,a(flip),b,9119,a(flip))]. 9130 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(2075(a,2),9119(a,2,2))]. 9131 R(x,K(y,z),K(u,y)) = x. [hyper(255,a,7312,a,b,9127,a(flip)),flip(a)]. 9132 R(x,T(K(y,z),u),K(z,w)) = x. [para(1653(a,1),9127(a,1,2))]. 9133 (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). [para(9127(a,1),2733(a,1,1,1))]. 9134 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(6475(a,1),9127(a,1,2))]. 9135 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(9127(a,1),6649(a,1,1))]. 9137 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [para(9131(a,1),122(a,1,1)),flip(a)]. 9138 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u / K(x,y))). [para(9131(a,1),1389(a,1,2,2)),flip(a)]. 9139 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [para(9131(a,1),7235(a,1,1))]. 9140 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(5974(a,1),9132(a,1,3))]. 9141 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(9134(a,1),122(a,1,1)),flip(a)]. 9142 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(9134(a,1),489(a,1,1))]. 9143 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(9140(a,1),847(a,1,1)),flip(a)]. 9144 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(255,a,4502,a(flip),b,9135,a(flip))]. 9145 (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),w). [para(45(a,2),9135(a,1,2,2))]. 9146 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(9135(a,2),2081(a,1))]. 9148 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(255,a,5956,a,b,9144,a(flip)),flip(a)]. 9149 a(x,y / x,x) \ K(y,x) = K(x \ y,x). [para(9144(a,1),6670(a,1,1))]. 9150 a(x,y / x,x) * K(x,y) = K(x,x \ y). [para(9144(a,1),6689(a,1,1))]. 9151 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(18(a,1),9148(a,1,2,2)),flip(a)]. 9152 x \ R(x,T(y,x),x) = a(x,y,x). [para(167(a,1),9151(a,1,2)),flip(a)]. 9153 x \ R(x,y,x) = a(x,y,x). [para(4717(a,1),9152(a,1,2))]. 9154 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(5957,a,9153,a)]. 9155 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(5945,a,9153,a)]. 9156 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(255,a,7811,a,b,9153,a(flip)),flip(a)]. 9157 K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x). [hyper(255,a,7301,a,b,9153,a(flip)),flip(a)]. 9158 K(x,y) * K(y,y \ x) = a(y,y \ x,y). [hyper(255,a,5956,a(flip),b,9153,a(flip)),flip(a)]. 9159 x * a(x,y,x) = R(x,y,x). [para(9153(a,1),19(a,1,2))]. 9161 a(x,y,x) * x = R(x,y,x). [para(9153(a,1),4037(a,1,1))]. 9162 a(x,x \ (y \ x),x) = x \ R(x,y \ 1,x). [para(6310(a,1),9153(a,1,2)),flip(a)]. 9163 a(x,y,x) \ K(x * y,x) = K(y,x). [para(9153(a,1),6681(a,1,1))]. 9164 T(x * y,x) / x = y * a(x,y,x). [para(9153(a,1),6975(a,1,2)),flip(a)]. 9165 T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). [para(9153(a,1),7599(a,1,2)),flip(a)]. 9166 x \ R(x,y,x) != z | a(x,y,x) = z. [para(9159(a,1),222(a,1,2)),flip(b)]. 9167 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(5622,a,9154,a)]. 9168 K(x,x * y) * a(x,y,x) = K(x,y). [para(9154(a,1),5628(a,1,2))]. 9169 a(x,y,x) * (y * x) = T(x * y,x). [para(9154(a,1),7125(a,1,1))]. 9170 (x * y) * a(y,x,y) = T(y * x,y). [para(9154(a,1),7127(a,1,2))]. 9171 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(6674,a,9155,a)]. 9173 a(x,y \ 1,x) \ K(y \ x,x) = K(y \ 1,x). [para(5734(a,1),9163(a,1,2))]. 9174 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(255,a,1966,a,b,9164,a(flip)),flip(a)]. 9176 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(9164(a,1),129(a,1,1))]. 9177 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(9164(a,2),178(a,1,2,2))]. 9178 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(9164(a,2),423(a,1,2,2))]. 9179 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(9164(a,2),752(a,1,2,2,2))]. 9180 K(x,y) * K(x * y,x) != z | a(x,y,x) = z. [para(5726(a,2),9166(a,1))]. 9182 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(19(a,1),9168(a,1,1,2))]. 9183 L(a(x,y,x),K(x,x * y),z) = (z * K(x,x * y)) \ (z * K(x,y)). [para(9168(a,1),33(a,2,2,2))]. 9184 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(9170(a,1),867(a,1,1,2))]. 9185 a(x,y,x) * K(y,x) = K(y * x,x). [hyper(255,a,5894,a,b,9171,a)]. 9186 (R(a(x,y,x),K(y,x),z * u) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). [para(9171(a,1),1388(a,1,2,1))]. 9189 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(9156(a,1),4037(a,1,1))]. 9190 a(x,x \ y,x) = T(x,y) \ ((x \ y) \ y). [para(4560(a,1),9156(a,1,2)),flip(a)]. 9193 a(x,x \ (y \ x),x) = a(x,y \ 1,x). [hyper(255,a,9153,a(flip),b,9162,a)]. 9194 T(x,y \ x) \ ((x \ (y \ x)) \ (y \ x)) = a(x,y \ 1,x). [hyper(255,a,9190,a(flip),b,9193,a(flip)),flip(a)]. 9196 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(2075(a,2),9126(a,1,1,2))]. 9197 T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). [hyper(172,a,9130,a,b,565,a)]. 9199 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(6718(a,1),9130(a,1,1)),flip(a)]. 9200 L(K(x,y),K(y,z),u) = K(x,y). [hyper(422,a,9137,a)]. 9201 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(3217(a,1),9137(a,1,1))]. 9202 (x * K(y,z)) * (K(z,y) * K(u,z)) = x * K(u,z). [para(6672(a,1),9137(a,1,1)),flip(a)]. 9204 L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). [para(8242(a,1),9200(a,1,2))]. 9205 (x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))). [para(9204(a,1),112(a,1,2))]. 9208 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(23,a,9126,a,b,9196,a(flip)),flip(a)]. 9209 ((x * K(y,z)) / (x * K(u,z))) \ 1 = (K(z,u) * K(y,z)) \ K(K(z,u) * K(y,z),x * K(u,z)). [para(9202(a,1),5360(a,1,1,1))]. 9210 x / (K(y,z) * K(u,y)) = x * (K(z,y) * K(y,u)). [hyper(308,a,9208,a),flip(a)]. 9211 (x * (K(y,z) * K(u,y))) \ x = K(z,y) * K(y,u). [hyper(87,a,9208,a)]. 9212 (x * (K(y,z) * K(u,y))) * w != x | K(z,y) * K(y,u) = w. [para(9208(a,1),24(a,1)),flip(a)]. 9213 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(9208(a,1),304(a,1,1)),flip(b)]. 9214 x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)). [para(2075(a,1),9210(a,1,2))]. 9215 (x * (K(y,z) * K(u,y))) \ x = K(y,u) * K(z,y). [hyper(255,a,2075,a,b,9211,a)]. 9216 x / T((1 * (K(y,z) * K(u,y))) * x,K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. [para(9215(a,1),4423(a,1,2,2))]. 9217 (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). [para(5944(a,1),9129(a,1,2)),flip(a)]. 9218 R(x,y,x) \ x = x \ L(x,y,x). [hyper(7936,a,9217,a)]. 9219 x / R(x,y,x) = x \ L(x,y,x). [hyper(79,a,1952,a(flip),b,9217,a(flip)),flip(a)]. 9220 x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. [hyper(80,a,9218,a(flip),b,1308,a)]. 9221 (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9219(a,1),2886(a,1,1,2,1))]. 9222 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). [para(9220(a,1),5143(a,2,2))]. 9223 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(255,a,8904,a(flip),b,8301,a(flip)),flip(a)]. 9224 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(8593,a,9223,a),flip(a)]. 9226 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(9224(a,1),6670(a,1,1,2)),flip(a)]. 9227 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(255,a,6670,a(flip),b,9226,a)]. 9228 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(8486(a,1),9227(a,1,2,1))]. 9229 K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). [hyper(255,a,8066,a(flip),b,9228,a)]. 9230 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(255,a,8894,a(flip),b,8317,a(flip)),flip(a)]. 9231 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(8560,a,9230,a),flip(a)]. 9233 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(7231(a,1),9231(a,1,1,2)),flip(a)]. 9234 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(7525(a,1),9233(a,1,1,2,1))]. 9235 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [para(7527(a,1),9233(a,1,1,2,1)),flip(a)]. 9236 K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). [para(457(a,1),9234(a,1,1))]. 9237 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(255,a,8769,a(flip),b,8327,a(flip)),flip(a)]. 9239 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(255,a,8263,a(flip),b,9237,a(flip))]. 9240 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(1562(a,1),9239(a,1,2,2))]. 9241 K(x,y / (z * K(x,u))) = K(x,y / z). [para(6672(a,1),9239(a,1,2,2)),flip(a)]. 9242 K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). [para(7231(a,1),9241(a,1,2,2)),flip(a)]. 9243 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(104(a,1),9242(a,1,2,2,1))]. 9244 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(263(a,1),9242(a,1,2,2,1))]. 9245 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(7525(a,1),9242(a,1,2,2,1))]. 9246 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(7527(a,1),9242(a,1,2,2,1)),flip(a)]. 9247 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,(((y * K(z,x)) * u) * w) / (u * w)). [para(457(a,1),9245(a,1,2))]. 9248 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(5217(a,1),8328(a,1,1,1,2))]. 9249 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(8107,a,8352,a),flip(a)]. 9250 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(18(a,1),9249(a,1,2,2)),flip(a)]. 9252 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(8242(a,1),8404(a,1,1)),flip(a)]. 9253 (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). [para(9252(a,1),5898(a,1,1))]. 9255 K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)). [hyper(255,a,8138,a,b,8410,a)]. 9256 (K(x,y) * T(z,u)) / T(K(x,y),z) = (z * (K(x,y) * K(z,u))) * K(y,x). [hyper(255,a,8519,a,b,8415,a),flip(a)]. 9257 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(8164,a,8500,a),flip(a)]. 9258 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(6562,a,9257,a),flip(a)]. 9260 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(9257(a,2),6670(a,1,1))]. 9261 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(8141(a,1),9258(a,1,1)),flip(a)]. 9262 T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). [para(6672(a,1),9260(a,1,1,1))]. 9263 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [para(9262(a,1),19(a,1,2)),flip(a)]. 9264 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(6562,a,9263,a),flip(a)]. 9267 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(8530,a,8532,a),flip(a)]. 9268 K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). [hyper(255,a,8595,a(flip),b,8590,a)]. 9269 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(255,a,9031,a(flip),b,8594,a)]. 9270 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(123(a,1),9269(a,1,1)),flip(a)]. 9271 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(8611(a,2),7895(a,1))]. 9278 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(8135(a,1),8639(a,2,2))]. 9279 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(5037(a,2),8643(a,1,2))]. 9280 T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). [hyper(255,a,5291,a,b,8646,a)]. 9281 T(x,(y \ 1) \ (x \ z)) = x * K(x,(y \ x) \ z). [hyper(8086,a,9280,a),flip(a)]. 9282 K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). [hyper(5323,a,9281,a)]. 9283 K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). [para(18(a,1),9282(a,1,2,2)),flip(a)]. 9284 K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). [hyper(255,a,7701,a,b,9283,a(flip)),flip(a)]. 9286 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). [para(6591(a,2),8656(a,2,2,2)),flip(a)]. 9287 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(18(a,1),8743(a,1,1,1,1)),flip(a)]. 9289 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(4524(a,1),8828(a,1,2,1))]. 9292 L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(8888(a,1),439(a,1,1,1))]. 9293 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(255,a,6670,a(flip),b,8925,a)]. 9294 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(19(a,1),9293(a,1,1,1)),flip(a)]. 9295 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(9294(a,1),5291(a,2,2,2)),flip(a)]. 9296 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(255,a,8138,a(flip),b,8928,a)]. 9297 K(x,T(y \ T(T(x,z),u),w)) = K(T(x,w),y \ T(x,u)). [hyper(255,a,7542,a,b,8971,a)]. 9298 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [hyper(255,a,8970,a(flip),b,8971,a)]. 9300 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(9023(a,1),6713(a,1,2)),flip(a)]. 9301 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(6621,a,9028,a),flip(a)]. 9302 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(5375(a,1),9301(a,2,1))]. 9303 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5383,a,9033,a),flip(a)]. 9304 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1951(a,2),9035(a,1,2))]. 9305 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(255,a,8061,a(flip),b,9038,a)]. 9306 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(255,a,47,a,b,9039,a)]. 9310 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(255,a,8440,a(flip),b,9070,a)]. 9311 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(9070(a,2),8173(a,1,1))]. 9312 R(K(x,K(y,z)),u,w) = K(x,K(z,R(y,u,w))). [para(8439(a,1),9310(a,1,1))]. 9313 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(8440(a,1),9310(a,1,1))]. 9314 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(8444(a,1),9310(a,1,1))]. 9315 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(255,a,9073,a(flip),b,9312,a(flip)),flip(a)]. 9316 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [hyper(255,a,9074,a(flip),b,9313,a(flip))]. 9317 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(255,a,9073,a(flip),b,9313,a(flip)),flip(a)]. 9318 x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). [para(9313(a,2),5252(a,2,2)),flip(a)]. 9319 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(6454(a,1),9315(a,1,2)),flip(a)]. 9320 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [hyper(255,a,9075,a(flip),b,9318,a(flip)),flip(a)]. 9321 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(255,a,9101,a(flip),b,9099,a)]. 9323 L(K(x,L(y,x,z)),T(y,u) * w,v5) = K(L(x,y,z),L(y,w,v5)). [para(9096(a,1),9321(a,1,1))]. 9325 L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). [hyper(255,a,8260,a(flip),b,9110,a)]. 9327 K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). [para(19(a,1),9325(a,1,2)),flip(a)]. 9328 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(9327(a,2),323(a,1)),flip(b)]. 9329 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(9112(a,2),9328(a,1))]. 9330 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(43(a,1),9329(a,1,2))]. 9334 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(47(a,2),9329(a,1,2))]. 9335 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(129(a,1),9329(a,1,2))]. 9337 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(773(a,1),9329(a,1,1))]. 9339 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7542(a,1),9329(a,1))]. 9340 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(129(a,1),9339(a,1,2,1))]. 9342 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(7849(a,1),9339(a,1))]. 9343 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(8253(a,2),9339(a,1))]. 9344 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(8254(a,1),9339(a,1))]. 9348 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(7592(a,1),9342(a,1))]. 9349 K(x \ (x * y),z) != u | K(y,z) = u. [para(7584(a,1),9343(a,1))]. 9352 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(5889(a,1),9349(a,1))]. 9354 K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. [para(138(a,1),9344(a,1,2))]. 9357 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(8272(a,2),9334(a,1))]. 9359 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(126(a,1),9357(a,1,2,1))]. 9360 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(255,a,7027,a(flip),b,9199,a)]. 9361 (x / y) * a(y,z,y) = x / L(y,z,y). [para(9154(a,1),9360(a,1,2))]. 9362 L(x,y,x) \ x = a(x,y,x). [hyper(22,a,7133,a,b,9361,a),flip(a)]. 9363 (x * y) / L(y,z,y) = x * a(y,z,y). [para(20(a,1),9361(a,1,1)),flip(a)]. 9364 L(x,y,x) \ x = x \ R(x,y,x). [hyper(255,a,9153,a,b,9362,a)]. 9365 L(x,y,x) \ 1 = x \ a(x,y,x). [hyper(80,a,9362,a(flip),b,1424,a),flip(a)]. 9366 a(x,y,x) \ x = L(x,y,x). [para(9362(a,1),6466(a,1,1))]. 9367 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(255,a,7262,a,b,9364,a(flip)),flip(a)]. 9368 K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(9365(a,1),7207(a,1,1,2))]. 9369 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(255,a,1836,a(flip),b,9363,a(flip)),flip(a)]. 9370 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [para(9363(a,1),73(a,1,1))]. 9371 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(255,a,7739,a(flip),b,9369,a(flip)),flip(a)]. 9372 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(20(a,1),9369(a,1,1)),flip(a)]. 9373 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(730(a,1),9370(a,1,2))]. 9374 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(255,a,8751,a,b,9371,a(flip)),flip(a)]. 9375 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(255,a,1423,a,b,9371,a(flip)),flip(a)]. 9376 K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z). [para(9371(a,1),5272(a,1,2))]. 9377 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(9375(a,1),19(a,1,2))]. 9378 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(21(a,1),9377(a,1,2)),flip(a)]. 9379 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(22,a,1421,a,b,9378,a),flip(a)]. 9380 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(80,a,9379,a(flip),b,7741,a(flip))]. 9381 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(9374(a,2),24(a,1))]. 9382 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(9374(a,1),5226(a,1,2))]. 9383 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(9248(a,1),21(a,1,1))]. 9384 K(x,K(y,z \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x). [para(9255(a,1),6784(a,1,1))]. 9385 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(5406,a,9295,a),flip(a)]. 9386 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(255,a,7518,a,b,9385,a(flip)),flip(a)]. 9387 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(80,a,9306,a(flip),b,5550,a),flip(a)]. 9388 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(9306(a,1),7455(a,1,1,2)),flip(a)]. 9389 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(9383(a,1),5605(a,1,2))]. 9392 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(9235(a,1),9389(a,1,2,1,2,2)),flip(a)]. 9393 L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x). [para(8188(a,1),7529(a,1,1)),flip(a)]. 9394 L(x,T(y,K(x,z)),x) = L(x,y,x). [hyper(255,a,5707,a(flip),b,9393,a)]. 9396 L(x,T(y,T(x,z)),x) = L(x,y,x). [hyper(255,a,7865,a(flip),b,9394,a(flip)),flip(a)]. 9398 L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). [para(129(a,1),9396(a,1,2)),flip(a)]. 9399 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(7539(a,2),7543(a,1,1))]. 9401 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). [para(6102(a,1),7734(a,1,2,1))]. 9402 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(255,a,493,a(flip),b,7889,a(flip))]. 9403 K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). [para(9402(a,2),6536(a,1,2))]. 9404 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(255,a,7542,a(flip),b,7926,a)]. 9405 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(255,a,5253,a(flip),b,7968,a)]. 9406 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(7525(a,1),9405(a,1,2))]. 9407 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(6475(a,1),9406(a,1,2,1))]. 9409 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(8013(a,1),7993(a,2,2))]. 9410 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(255,a,5946,a(flip),b,9409,a)]. 9412 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(9166,a,9410,a)]. 9413 a(x,y * K(x,z),x) != u | a(x,y,x) = u. [para(9412(a,2),9166(a,1))]. 9414 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [hyper(255,a,4983,a(flip),b,8078,a)]. 9415 L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). [para(7544(a,1),8299(a,1,1))]. 9416 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7559(a,1),8304(a,1,1,2)),flip(a)]. 9417 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(9330,a,8597,a),flip(a)]. 9419 K(x,K(y,z)) * (K(z,x) * u) != w | K(z,T(x,y)) * u = w. [para(8134(a,1),8698(a,1,1))]. 9421 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(574(a,1),8771(a,1,2))]. 9422 K(x,a(K(x,y),z,u)) = 1. [hyper(255,a,5981,a(flip),b,9421,a(flip))]. 9424 T(x,a(K(x,y),z,u)) = x. [hyper(42,a,9422,a)]. 9425 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(40,a,9424,a)]. 9426 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(9424(a,1),43(a,1,1)),flip(a)]. 9427 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(9424(a,1),127(a,1,2))]. 9428 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(9424(a,1),7525(a,1,2,1)),flip(a)]. 9429 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(9425(a,1),7525(a,1,2,1)),flip(a)]. 9431 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(255,a,8975,a(flip),b,8856,a(flip)),flip(a)]. 9432 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(8912(a,1),8100(a,1,1)),flip(a)]. 9433 K(x,L(x,y,y \ 1) \ z) = K(x,x \ z). [para(133(a,1),8930(a,1,2)),flip(a)]. 9435 K((x \ 1) \ y,((x \ 1) \ y) \ z) = K((x \ 1) \ y,(x * y) \ z). [para(3064(a,1),9433(a,1,2,1)),flip(a)]. 9436 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(255,a,9135,a,b,9000,a(flip)),flip(a)]. 9437 K(x,y) * (y \ R(y,x,L(y,z,u))) = K(x * L(y,z,u),y). [para(9000(a,1),5626(a,1,2))]. 9438 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(255,a,9135,a,b,9008,a(flip)),flip(a)]. 9439 x \ R(x,y,R(x,z,u)) != w | K(y * R(x,z,u),x) * K(x,y) = w. [para(9009(a,1),2076(a,1))]. 9441 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(424(a,1),9108(a,2,2))]. 9442 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(9339,a,9270,a)]. 9443 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(6587,a,9399,a)]. 9444 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(255,a,8716,a(flip),b,9443,a)]. 9445 K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. [para(9443(a,2),8730(a,1))]. 9446 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(18(a,1),9444(a,1,2,1,1)),flip(a)]. 9447 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(4524(a,1),9446(a,1,2,1)),flip(a)]. 9448 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(4597(a,2),9446(a,1,2,1)),flip(a)]. 9449 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(255,a,9037,a(flip),b,9404,a(flip)),flip(a)]. 9451 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(21(a,1),9449(a,1,2,2)),flip(a)]. 9452 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(255,a,8558,a(flip),b,9451,a(flip)),flip(a)]. 9454 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(18(a,1),9452(a,1,2,2)),flip(a)]. 9455 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(149(a,1),9452(a,1,2,2)),flip(a)]. 9456 K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). [hyper(9342,a,9454,a),flip(a)]. 9457 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(255,a,8115,a,b,9454,a)]. 9459 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(255,a,8840,a,b,9455,a(flip)),flip(a)]. 9460 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(129(a,1),9459(a,1,2)),flip(a)]. 9461 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8356,a,9457,a)]. 9462 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(9457(a,2),8353(a,1))]. 9463 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(19(a,1),9461(a,1,2,2)),flip(a)]. 9464 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(122(a,1),9461(a,1,2,2))]. 9465 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(8504,a,9463,a)]. 9466 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(73(a,1),9465(a,1,2,2)),flip(a)]. 9467 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(8502,a,9466,a),flip(a)]. 9468 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(8136,a,9464,a)]. 9469 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(9464(a,1),8170(a,1,1))]. 9470 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(332(a,1),9462(a,1,2,2,1))]. 9471 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(8433,a,9469,a),flip(a)]. 9472 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(19(a,1),9471(a,1,2,2,1)),flip(a)]. 9473 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(9470,a,9472,a),flip(a)]. 9474 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(21(a,1),9473(a,1,2,2)),flip(a)]. 9475 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(19(a,1),9414(a,1,2,2)),flip(a)]. 9476 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(255,a,9014,a(flip),b,9417,a(flip)),flip(a)]. 9478 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(255,a,8999,a(flip),b,9476,a(flip)),flip(a)]. 9479 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(19(a,1),9476(a,1,2,2)),flip(a)]. 9480 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(255,a,7913,a,b,9479,a(flip)),flip(a)]. 9482 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(483(a,1),9480(a,1,2,2))]. 9484 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(255,a,8418,a(flip),b,9478,a(flip)),flip(a)]. 9485 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(19(a,1),9484(a,1,2,2,2)),flip(a)]. 9486 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(9485(a,1),9340(a,1))]. 9489 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(255,a,7641,a(flip),b,9442,a),flip(a)]. 9490 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(73(a,1),9489(a,1,1,1)),flip(a)]. 9491 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(20(a,1),9490(a,1,1,2)),flip(a)]. 9493 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(9359,a,9491,a),flip(a)]. 9494 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(8016(a,1),9491(a,1,1))]. 9495 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(9491(a,1),9359(a,1))]. 9496 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [para(9493(a,2),5252(a,2,2)),flip(a)]. 9497 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(7571(a,2),8690(a,1))]. 9498 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(255,a,7542,a(flip),b,7579,a)]. 9499 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. [para(7579(a,2),7899(a,1))]. 9500 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(7542(a,1),7612(a,1,1,2))]. 9501 R(K(x,y),T(T(y,z),u),w) = K(x,y). [hyper(5091,a,7674,a)]. 9502 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(z,x) \ u. [para(9501(a,1),679(a,1,1)),flip(a)]. 9503 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(8612,a,7693,a)]. 9504 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(8346,a,9503,a),flip(a)]. 9505 (T(T(x,y),z) \ 1) * T(x,y) = (x \ 1) * (x * K(z,T(x,y))). [hyper(255,a,5989,a(flip),b,7697,a(flip)),flip(a)]. 9507 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x). [hyper(255,a,396,a(flip),b,7831,a)]. 9508 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5556(a,1),7966(a,1,2))]. 9509 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5556(a,1),9508(a,2,2))]. 9510 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(9509(a,1),418(a,1,2)),flip(a)]. 9511 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(4458(a,1),9510(a,1,2,1))]. 9512 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(4458(a,1),9511(a,2,2,2))]. 9513 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(9512(a,1),4492(a,1,1))]. 9514 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(6929,a,7975,a)]. 9515 (x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x. [para(5392(a,1),8092(a,1,2,2))]. 9522 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(7699,a,8325,a)]. 9523 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(6728(a,2),9522(a,1,2,1))]. 9524 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(22,a,8637,a,b,8357,a)]. 9525 K(x,K(y,z \ (u * x))) = K(y,K(x,z \ u)). [hyper(8136,a,9524,a)]. 9526 K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). [hyper(255,a,8134,a,b,9524,a)]. 9527 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1303(a,1),9524(a,1,2,2))]. 9528 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(7802(a,1),9524(a,1,2)),flip(a)]. 9529 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(255,a,8134,a,b,9525,a)]. 9530 K(x,K(T(y,z),u \ (y * z))) = K(T(y,z),K(x,u \ z)). [para(127(a,1),9526(a,1,2,2,2))]. 9531 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(255,a,9504,a,b,9529,a(flip)),flip(a)]. 9532 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(9529(a,1),8454(a,1,2)),flip(a)]. 9533 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(255,a,8431,a(flip),b,9531,a(flip)),flip(a)]. 9534 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(8504,a,9533,a)]. 9535 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [para(9533(a,1),8115(a,1,2))]. 9536 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(255,a,9296,a,b,9534,a(flip)),flip(a)]. 9537 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(8176,a,9536,a)]. 9538 K(x,K(y,T(z \ (y * u),u))) = K(T(y,u),K(x,z \ u)). [para(7542(a,1),9530(a,1,2))]. 9539 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [hyper(8353,a,9535,a),flip(a)]. 9541 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [para(18(a,1),9539(a,1,2,2,1)),flip(a)]. 9543 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(29(a,2),9541(a,1,2,2)),flip(a)]. 9544 K(T(x,y),K(z,u \ y)) = K(z,K(x,(x * y) / u)). [para(8307(a,1),9538(a,1,2)),flip(a)]. 9545 K(T(x,y),K(z,u \ y)) = K(x,K(z,(x * y) / u)). [hyper(255,a,8134,a,b,9544,a)]. 9546 K(x,K(T(y,z),u \ z)) = K(y,K(x,(y * z) / u)). [hyper(8136,a,9545,a)]. 9547 K(x,K(y,(x * z) / u)) = K(y,K(x,z / u)). [para(8257(a,1),9546(a,1,2)),flip(a)]. 9548 K(x,K(y,(x * z) / u)) != w | K(x,K(y,z / u)) = w. [para(9547(a,2),8136(a,1))]. 9549 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(574(a,1),9543(a,1,2,2))]. 9550 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(9337,a,9549,a),flip(a)]. 9553 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(9550(a,1),5252(a,2,2))]. 9554 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(255,a,5252,a,b,9553,a)]. 9555 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(9554(a,1),8868(a,1,1,1))]. 9558 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(9357,a,8416,a),flip(a)]. 9560 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(5194(a,1),9558(a,1,2,2)),flip(a)]. 9561 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(7559(a,1),9558(a,1,2,2))]. 9562 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(255,a,6383,a,b,9560,a(flip)),flip(a)]. 9563 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(19(a,1),9562(a,1,2))]. 9564 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(9561(a,1),6670(a,1,1,2)),flip(a)]. 9565 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(4038(a,1),9563(a,2,2))]. 9566 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(255,a,6670,a(flip),b,9564,a)]. 9567 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(255,a,7210,a(flip),b,9566,a(flip)),flip(a)]. 9568 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(5608(a,1),9566(a,1,1,2)),flip(a)]. 9570 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(255,a,7206,a(flip),b,9567,a)]. 9571 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(5288(a,1),9570(a,1,2))]. 9573 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(9571(a,1),6460(a,1,1))]. 9574 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(9573(a,1),25(a,1)),flip(a)]. 9576 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(255,a,6055,a(flip),b,8591,a)]. 9577 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(80,a,9576,a(flip),b,5220,a)]. 9579 T(K(x,y) * T(z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). [para(6839(a,1),8733(a,1,1,2))]. 9580 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(255,a,6780,a(flip),b,8735,a(flip))]. 9581 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(5146(a,1),8746(a,2,1)),flip(a)]. 9582 (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(8793(a,1),5897(a,1,2,1))]. 9583 K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). [hyper(255,a,7270,a(flip),b,8795,a)]. 9585 K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). [hyper(255,a,6995,a(flip),b,9583,a(flip)),flip(a)]. 9586 K(x,y \ (z * (x / z))) = K(x,y \ x). [para(5271(a,1),9585(a,1,2,2))]. 9587 K(x,y \ ((z \ x) * z)) = K(x,y \ x). [para(70(a,1),9586(a,1,2,2,2))]. 9588 K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. [para(9587(a,1),7022(a,1))]. 9589 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(8687,a,8836,a),flip(a)]. 9590 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(255,a,7870,a(flip),b,9589,a(flip))]. 9591 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(255,a,8436,a(flip),b,8842,a)]. 9592 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(73(a,1),9591(a,1,2,2,1,2))]. 9593 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(255,a,5807,a(flip),b,9592,a(flip)),flip(a)]. 9596 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(255,a,7275,a(flip),b,8921,a(flip))]. 9597 K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). [hyper(6693,a,8931,a),flip(a)]. 9598 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(255,a,8892,a(flip),b,9597,a(flip)),flip(a)]. 9599 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(9598(a,1),5291(a,2,2,2)),flip(a)]. 9600 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7539(a,2),8956(a,1,2))]. 9609 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(9164(a,1),9174(a,1,1)),flip(a)]. 9610 x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). [hyper(255,a,2212,a(flip),b,9222,a)]. 9611 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [para(5552(a,1),9610(a,1,2))]. 9612 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(7434(a,1),9611(a,1,2)),flip(a)]. 9613 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(255,a,7481,a,b,9612,a(flip)),flip(a)]. 9614 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(9613(a,1),7632(a,1,1,2,1))]. 9615 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(255,a,9011,a(flip),b,9287,a(flip))]. 9616 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(9303(a,1),9289(a,2,2))]. 9617 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(255,a,8828,a,b,9616,a),flip(a)]. 9618 T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). [hyper(255,a,8865,a(flip),b,9617,a(flip))]. 9619 T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). [hyper(255,a,8958,a,b,9618,a(flip)),flip(a)]. 9620 T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). [para(128(a,1),9619(a,1,2,1))]. 9621 T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). [para(7102(a,1),9620(a,1,2,1,1))]. 9622 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(5375(a,1),9302(a,1,1,1))]. 9623 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(6559,a,9622,a),flip(a)]. 9624 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(9623(a,2),178(a,1,2,2))]. 9625 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(9623(a,2),430(a,2,2))]. 9626 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(8439(a,1),9311(a,1,1,1)),flip(a)]. 9627 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(9073(a,1),9626(a,2,1))]. 9628 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(255,a,5263,a,b,9627,a)]. 9629 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(255,a,8507,a(flip),b,9628,a(flip))]. 9630 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(255,a,9320,a(flip),b,9629,a(flip))]. 9631 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(592(a,1),9630(a,1,2,2)),flip(a)]. 9632 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(9630(a,1),9258(a,2,2))]. 9633 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [hyper(225,a,9403,a)]. 9634 L(K(x,y),z,x \ 1) = K(x,y). [hyper(422,a,9633,a)]. 9636 ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). [para(9633(a,1),6670(a,1,1))]. 9637 L(K(x \ 1,y),z,x) = K(x \ 1,y). [hyper(255,a,3963,a(flip),b,9634,a(flip)),flip(a)]. 9638 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(6468,a,9637,a)]. 9640 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(9637(a,1),112(a,1,2))]. 9641 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(4816(a,1),9638(a,1,1,1)),flip(a)]. 9642 R(K(x,y),z,x \ 1) = K((x \ 1) \ 1,y). [hyper(255,a,6209,a(flip),b,9641,a(flip)),flip(a)]. 9643 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(9641(a,1),6207(a,1,1)),flip(a)]. 9644 R(K(x,y),z,x \ 1) = K(x,y). [hyper(255,a,3312,a(flip),b,9642,a)]. 9645 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(9359,a,9644,a)]. 9646 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [para(9644(a,1),122(a,1,1)),flip(a)]. 9648 T(x,R(y,z,x \ 1)) = x * K(x,y). [para(9645(a,1),5252(a,2,2))]. 9650 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(255,a,5252,a,b,9648,a)]. 9651 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(685(a,1),9650(a,1,2))]. 9652 L(K(x,y),z,y \ 1) = K(x,y). [hyper(7086,a,9636,a)]. 9656 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(255,a,7035,a(flip),b,9652,a(flip)),flip(a)]. 9658 R(x,y,K(x \ 1,z)) = x. [hyper(454,a,9640,a)]. 9660 R(T(x,y),z,K(x \ 1,u)) = T(x,y). [para(9658(a,1),47(a,2,1))]. 9662 T(x,y * K(x \ 1,z)) = T(x,y). [hyper(255,a,6353,a(flip),b,9660,a(flip))]. 9664 K(x,y * K(x \ 1,z)) = x \ T(x,y). [hyper(80,a,9662,a(flip),b,5252,a(flip)),flip(a)]. 9666 T(x,K(x \ 1,y) * z) = T(x,z). [para(7559(a,1),9662(a,1,2))]. 9667 T(x,K(y,x \ 1) * z) = T(x,z). [para(7572(a,1),9662(a,1,2)),flip(a)]. 9668 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(7647(a,1),9662(a,1,2))]. 9669 T(x \ 1,K(x,y) * z) = T(x \ 1,z). [para(3312(a,1),9666(a,1,2,1))]. 9670 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(6053(a,1),9666(a,1,2)),flip(a)]. 9671 T(x,K(y,1 / x) * z) = T(x,z). [para(3707(a,2),9667(a,1,2,1))]. 9672 K(K(x,1 / y) * z,y) = y / T(y,z). [para(9671(a,1),5182(a,2,2))]. 9673 K(x,y * K(x \ 1,z)) = K(x,y). [hyper(255,a,5186,a,b,9664,a)]. 9677 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(7647(a,1),9673(a,1,2))]. 9679 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (T(K(x,y),z) * T(x \ 1,z)). [para(9669(a,1),834(a,1,2,2)),flip(a)]. 9681 K(K(x,1 / y) * z,y) = K(z,y). [hyper(255,a,5182,a,b,9672,a)]. 9682 K(K(x,y \ 1) * z,y) = K(z,y). [para(3707(a,1),9681(a,1,1,1))]. 9685 K(T(x,y \ 1) \ z,y) = K(x \ z,y). [para(5536(a,1),9682(a,1,1)),flip(a)]. 9687 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(6025(a,1),9682(a,1,1))]. 9692 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). [para(9677(a,1),6989(a,1,1))]. 9696 L(x,y,K(x \ 1,z)) = x. [hyper(422,a,9643,a)]. 9699 L(x \ 1,y,K(x,z)) = x \ 1. [para(3312(a,1),9696(a,1,3))]. 9700 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(9699(a,1),822(a,1,1)),flip(a)]. 9704 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(229,a,9646,a)]. 9705 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(172,a,9646,a,b,6533,a)]. 9708 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(45(a,2),9705(a,2,2))]. 9711 T(T(x * K(y * T(x,z),x),u),w) \ T(T(x,u),w) = K(x,T(T(T(x,z) * y,w),u)). [para(8031(a,1),9498(a,1,1,1,1,2))]. 9712 (x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))). [hyper(255,a,9205,a(flip),b,9500,a)]. 9713 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(x,z) * u. [hyper(255,a,5600,a(flip),b,9502,a)]. 9714 (T(T(x,y),z) \ 1) * T(x,z) = (x \ 1) * (x * K(y,T(x,z))). [para(43(a,1),9505(a,1,1,1))]. 9715 K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x). [para(18(a,1),9507(a,1,2,2,1,2))]. 9716 L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). [para(9514(a,1),421(a,1,2))]. 9717 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(9527(a,2),8504(a,1))]. 9718 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(255,a,8112,a(flip),b,9532,a)]. 9719 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(8621,a,9718,a)]. 9720 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(21(a,1),9719(a,1,2,2)),flip(a)]. 9721 L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). [para(9720(a,1),5253(a,1,2,1))]. 9722 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(255,a,9580,a(flip),b,9577,a)]. 9723 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(255,a,9250,a(flip),b,9590,a(flip)),flip(a)]. 9724 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [hyper(7895,a,9723,a)]. 9725 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(255,a,8715,a(flip),b,9724,a)]. 9726 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(255,a,6455,a(flip),b,9725,a)]. 9727 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(5406,a,9599,a),flip(a)]. 9728 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(255,a,8789,a,b,9727,a(flip)),flip(a)]. 9729 L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(9728(a,1),5195(a,1,1,1))]. 9730 T(T(x,K(y,x)),z * x) * ((T(x,x * z) * K(y,x)) \ u) = K(x,y) * u. [para(4568(a,1),9713(a,1,1))]. 9731 K(x \ 1,x) * K(y,T(x,z)) = (T(T(x,y),z) \ 1) * T(x,z). [hyper(255,a,7696,a,b,9714,a),flip(a)]. 9732 ((1 / x) * y) * T(((1 / x) * y) \ (K(z,u) * y),z) = K(z,u) * (K(x,z) * y). [para(5777(a,1),9715(a,1,2)),flip(a)]. 9733 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(7539(a,2),7546(a,1,1))]. 9734 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(47(a,2),7620(a,1,1))]. 9735 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). [hyper(255,a,8980,a(flip),b,7707,a)]. 9736 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(255,a,9700,a(flip),b,7715,a(flip))]. 9738 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(8235(a,1),9736(a,1,3))]. 9739 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(7108,a,9738,a)]. 9741 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(9739(a,1),2187(a,1,1,2))]. 9742 L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). [para(9739(a,1),3818(a,1,1))]. 9745 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(5490,a,7800,a),flip(a)]. 9746 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(255,a,7591,a,b,9745,a(flip)),flip(a)]. 9747 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(9746(a,1),6784(a,1,1,2)),flip(a)]. 9748 (x * y) \ ((T(x,z) * y) * x) = T(x,T(z,y)). [hyper(255,a,6734,a(flip),b,7823,a(flip))]. 9750 (x * y) \ ((T(x,z \ (u * x)) * y) * x) = T(x,T((u \ z) \ x,y)). [para(7002(a,1),9748(a,1,2,1,1))]. 9751 a(x,y * K(x,z),x) = a(x,y,T(x,z)). [hyper(636,a,7917,a),flip(a)]. 9752 a(x,y,T(x,z)) = a(x,y,x). [hyper(9413,a,9751,a),flip(a)]. 9753 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(9751(a,1),9413(a,1))]. 9754 a(x,T(y,x),x) != z | a(x,y,x) = z. [para(9752(a,1),7056(a,1))]. 9755 K(R((x * y) / x,z,u),T(w,y * x)) = K(L(R(y,z,u),x,y),w). [para(49(a,1),7925(a,2,1))]. 9756 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(255,a,5996,a(flip),b,8019,a)]. 9757 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(6672(a,1),9756(a,1,2)),flip(a)]. 9758 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(8267(a,1),8585(a,1,2))]. 9759 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7539(a,2),8291(a,1,1))]. 9760 K(x,K(y,T(z \ (x * u),x \ z))) = K(x,K(y,u / (x \ z))). [para(8322(a,1),7439(a,1,2))]. 9761 K(x,K(y,T(z \ (x * u),z))) = K(x,K(y,u / (x \ z))). [hyper(255,a,9058,a(flip),b,9760,a(flip)),flip(a)]. 9762 K(x,K(y,(x * z) / u)) = K(x,K(y,z / (x \ u))). [para(8255(a,1),9761(a,1,2))]. 9763 K(x,K(y,z / (x \ u))) = K(x,K(y,z / u)). [hyper(9548,a,9762,a),flip(a)]. 9764 K(x,K(y,z / (x * u))) = K(x,K(y,z / u)). [para(18(a,1),9763(a,1,2,2,2)),flip(a)]. 9765 R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u). [hyper(80,a,8380,a(flip),b,6416,a(flip))]. 9766 K(x \ (y * (x * z)),T(y,K(z,u))) = K(L(z \ 1,z,x) \ y,y). [hyper(255,a,8976,a(flip),b,8911,a(flip)),flip(a)]. 9767 x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. [para(8943(a,1),4518(a,1,2))]. 9768 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [hyper(255,a,7535,a(flip),b,8989,a)]. 9770 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [para(43(a,1),9415(a,1,1,2))]. 9771 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(7558(a,1),9416(a,1,1))]. 9772 K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). [hyper(7305,a,9692,a),flip(a)]. 9773 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(127(a,1),9772(a,1,2,1)),flip(a)]. 9774 K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). [para(166(a,1),9772(a,1,2,1,2)),flip(a)]. 9775 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [hyper(255,a,8979,a(flip),b,9773,a)]. 9776 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(255,a,7705,a(flip),b,9775,a(flip)),flip(a)]. 9777 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(9776(a,1),7252(a,1,1))]. 9778 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [hyper(6238,a,9733,a),flip(a)]. 9780 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(255,a,7944,a(flip),b,9778,a(flip))]. 9781 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(255,a,7701,a,b,9780,a)]. 9782 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [para(70(a,1),9780(a,1,2,1,1)),flip(a)]. 9783 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(70(a,1),9781(a,1,2,1,1)),flip(a)]. 9784 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(255,a,7700,a,b,9782,a(flip)),flip(a)]. 9785 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(255,a,7245,a(flip),b,9783,a(flip))]. 9786 K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). [para(70(a,1),9784(a,1,2,1)),flip(a)]. 9787 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(9470,a,9785,a),flip(a)]. 9788 K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). [para(6488(a,1),9787(a,1,2))]. 9789 K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). [hyper(8593,a,9786,a)]. 9790 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(255,a,8933,a(flip),b,9789,a(flip)),flip(a)]. 9791 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(73(a,1),9790(a,2,2))]. 9792 K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2858(a,1),9734(a,2,1,1))]. 9793 K(R(x,y,z),T(T(u,x * w),w)) = K(L(R(x,y,z),w,x),u). [hyper(255,a,8311,a(flip),b,9755,a(flip)),flip(a)]. 9794 K(R(x,y,z),T(T(u,w),x * w)) = K(L(R(x,y,z),w,x),u). [para(43(a,1),9793(a,1,2))]. 9795 K(R(x,y,z),T(T(u,w),w)) = K(L(R(x,y,z),w,x),u). [hyper(255,a,9032,a(flip),b,9794,a(flip)),flip(a)]. 9796 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(9339,a,9795,a),flip(a)]. 9798 K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). [para(49(a,2),9796(a,1,1))]. 9799 K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). [hyper(255,a,9368,a(flip),b,9798,a(flip))]. 9800 K(R(x,x \ a(x,y,x),z),u) = K(x,u). [hyper(255,a,7427,a(flip),b,9799,a)]. 9803 (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). [para(9800(a,1),7209(a,1,1)),flip(a)]. 9804 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [para(9168(a,1),9803(a,1,1)),flip(a)]. 9805 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [hyper(5622,a,9804,a)]. 9806 K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. [hyper(310,a,9804,a),flip(a)]. 9807 K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z. [para(9804(a,1),24(a,1)),flip(a)]. 9808 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(5894(a,2),9805(a,1,1))]. 9809 K(x,x * y) * z != K(x,y) * (a(x,y,x) \ u) | z = u. [para(9806(a,2),24(a,2))]. 9810 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(5683(a,1),9808(a,1,2))]. 9811 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(9759(a,1),6366(a,1,1)),flip(a)]. 9812 L(K(T(T(x,y),z * y),u),y,z) * w = K((z * y) / (z * (u \ y)),x) \ w. [para(9770(a,1),6488(a,1,1)),flip(a)]. 9813 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(9473(a,1),9771(a,1,1,1))]. 9817 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6873(a,1),7745(a,1,1))]. 9818 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(422,a,7773,a)]. 9819 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(255,a,9768,a(flip),b,9818,a(flip)),flip(a)]. 9823 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(19(a,1),9819(a,1,2,2)),flip(a)]. 9824 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(8051(a,1),9819(a,1,2))]. 9825 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(19(a,1),9824(a,1,2,2,2))]. 9826 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(7980(a,1),9824(a,1,2))]. 9827 K(x * y,T(y,z * x)) = K(y * x,T(y,z)). [hyper(7915,a,9826,a),flip(a)]. 9830 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(7914,a,9825,a),flip(a)]. 9831 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(21(a,1),9830(a,1,2,2)),flip(a)]. 9832 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(255,a,8631,a(flip),b,9831,a(flip)),flip(a)]. 9833 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(255,a,9447,a(flip),b,9832,a(flip)),flip(a)]. 9834 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(255,a,8710,a(flip),b,9833,a(flip))]. 9835 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(9470,a,9834,a),flip(a)]. 9836 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(255,a,9029,a(flip),b,9835,a(flip)),flip(a)]. 9840 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). [para(5509(a,1),7882(a,1,2)),flip(a)]. 9842 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7957(a,1),7961(a,1,2,2)),flip(a)]. 9843 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(255,a,5819,a(flip),b,9842,a)]. 9845 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(255,a,5821,a(flip),b,9843,a(flip))]. 9846 K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)). [hyper(255,a,5195,a(flip),b,8052,a)]. 9847 K(K(L(x,y,z),u) * w,L(x,v5,v6)) = K(w,L(x,v5,v6)). [para(7559(a,1),9846(a,1,1))]. 9848 K(K(x,y) * z,L(x,u,w)) = K(z,L(x,u,w)). [para(319(a,1),9847(a,1,1,1,1))]. 9849 K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). [para(5874(a,1),9848(a,1,1)),flip(a)]. 9850 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [para(129(a,1),9849(a,1,1,2)),flip(a)]. 9851 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(8185(a,1),8165(a,1,1))]. 9852 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(9851(a,1),124(a,1,1,1)),flip(a)]. 9853 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(9851(a,1),5611(a,1,2))]. 9854 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(255,a,9712,a(flip),b,8337,a(flip)),flip(a)]. 9859 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(255,a,8728,a(flip),b,8729,a)]. 9860 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(255,a,8731,a,b,9859,a(flip)),flip(a)]. 9861 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(73(a,1),9860(a,2,2,2,1))]. 9862 K(x,T(1 \ ((y \ z) * x),z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(255,a,9443,a(flip),b,8777,a(flip)),flip(a)]. 9863 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / (x * z))). [para(8138(a,1),8837(a,2,2))]. 9864 K(x,T(y,T((x * z) \ u,z))) != w | K(x,T(y,u / (x * z))) = w. [para(8837(a,2),8372(a,1))]. 9865 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(255,a,4493,a(flip),b,8940,a)]. 9866 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(18(a,1),9865(a,1,1,2,1)),flip(a)]. 9867 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(255,a,4494,a(flip),b,8941,a)]. 9868 (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). [para(2082(a,2),9120(a,2,2))]. 9869 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(81,a,7219,a(flip),b,9122,a)]. 9870 (x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)). [para(2077(a,1),9141(a,2,2))]. 9871 L(a(x,y,x),K(x,x * y),z) = K(x,y) * K(x * y,x). [hyper(255,a,9139,a(flip),b,9183,a)]. 9873 L(a(x,y,x),K(x,x * y),z) = a(x,y,x). [hyper(255,a,9154,a(flip),b,9871,a)]. 9874 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = x / a(y,z,y). [para(9873(a,1),316(a,1,2)),flip(a)]. 9876 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(8138(a,1),9278(a,1,1,1))]. 9879 (x \ y) * K((x \ 1) \ (x \ y),(x * (x \ y)) \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(9435(a,1),6772(a,1,2))]. 9880 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(5149,a,9581,a),flip(a)]. 9881 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(8572(a,1),9880(a,1,1,2))]. 9886 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(255,a,7605,a(flip),b,9747,a)]. 9887 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(45(a,2),9886(a,2,2))]. 9888 T(x,L(T(y,y \ z),u,w)) = T(x,L(T(y,z),u,w)). [para(128(a,2),9887(a,1,2,1))]. 9889 T(x,L(T(T(y * z,z) / y,(T(y * z,z) / y) \ (y * z)),u,w)) = T(x,L((y * z) / y,u,w)). [para(4150(a,1),9888(a,2,2,1))]. 9890 T(x,T((y \ z) \ x,u)) = T(x,T(z \ (y * x),u)). [hyper(255,a,9748,a(flip),b,9750,a(flip))]. 9891 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(8336(a,1),9854(a,1,2)),flip(a)]. 9892 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(7201(a,1),9891(a,2,2))]. 9893 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(59(a,1),9862(a,1,2,1))]. 9894 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(255,a,9783,a(flip),b,9893,a),flip(a)]. 9895 K(x,T(1 \ ((y \ z) * x),y)) = K(x,T((y \ z) * x,z)). [hyper(255,a,9443,a(flip),b,9894,a(flip)),flip(a)]. 9896 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [para(59(a,1),9895(a,1,2,1)),flip(a)]. 9897 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / z)). [para(9764(a,1),9863(a,2,2))]. 9898 K(x,T(y,T((x * z) \ u,z))) = K(x,T(y,u / z)). [hyper(255,a,8115,a(flip),b,9897,a)]. 9899 K(x,T(y,z / (x * u))) = K(x,T(y,z / u)). [hyper(9864,a,9898,a)]. 9900 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(19(a,1),9899(a,1,2,2,2)),flip(a)]. 9901 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [para(9900(a,1),5252(a,2,2))]. 9902 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(255,a,5252,a,b,9901,a)]. 9903 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(255,a,9651,a(flip),b,9902,a(flip))]. 9904 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(68(a,1),9903(a,1,2,2))]. 9905 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(129(a,1),9904(a,1,2)),flip(a)]. 9906 (x * (K(y,z) * L(K(u,y),w,v5))) * K(z,y) = x * L(K(u,y),w,v5). [hyper(6674,a,9870,a)]. 9907 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(9261(a,1),9876(a,1,1))]. 9908 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(8138(a,1),9907(a,2,1))]. 9909 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(8134(a,1),9908(a,2,2))]. 9910 K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). [para(8016(a,1),7748(a,1,1))]. 9911 L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). [para(7959(a,1),9910(a,1,2)),flip(a)]. 9913 L(x,K(y,x) * z,x) = L(x,z,x). [hyper(255,a,5539,a(flip),b,9911,a)]. 9915 L(x,T(x,y) \ z,x) = L(x,x \ z,x). [para(5560(a,1),9913(a,1,2))]. 9916 L(x,y / T(x,z),x) = L(x,x \ y,x). [hyper(255,a,9398,a,b,9915,a(flip)),flip(a)]. 9918 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [hyper(255,a,7398,a,b,9916,a(flip)),flip(a)]. 9921 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(255,a,5195,a(flip),b,8087,a)]. 9922 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(18(a,1),9921(a,1,1,2,1))]. 9923 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(8090(a,1),5490(a,1))]. 9924 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(5485,a,8091,a),flip(a)]. 9926 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(4038(a,2),8310(a,1,1))]. 9927 K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). [hyper(255,a,8115,a,b,8318,a),flip(a)]. 9928 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(8707,a,8642,a)]. 9929 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(9928(a,1),5252(a,2,2)),flip(a)]. 9930 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(9929(a,1),5255(a,1))]. 9931 K(x,(y * (z / (x \ 1))) \ u) = K(x,(y * z) \ (x \ u)). [hyper(255,a,9735,a(flip),b,8982,a(flip))]. 9932 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(255,a,9774,a(flip),b,9931,a(flip))]. 9933 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(37(a,2),9932(a,1,2,2))]. 9934 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(8670,a,9933,a)]. 9935 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(255,a,6692,a(flip),b,9142,a(flip)),flip(a)]. 9936 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(255,a,2077,a(flip),b,9935,a)]. 9937 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(6672(a,1),9936(a,1,2)),flip(a)]. 9938 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(7106(a,1),9937(a,1,2))]. 9939 T(x,a(y,z,K(x,u))) = x. [para(9937(a,1),7958(a,1,2))]. 9940 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(9939(a,1),7559(a,1,2,2)),flip(a)]. 9941 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [hyper(7079,a,9938,a)]. 9943 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2079,a,9938,a)]. 9944 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(255,a,6490,a,b,9938,a(flip)),flip(a)]. 9946 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [para(9938(a,1),5220(a,1,2)),flip(a)]. 9947 ((x * y) / x) * L(K(y,x),z,u) = y * a(u,z,K(x,y)). [para(9938(a,1),5858(a,2,2))]. 9949 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(7046(a,1),9938(a,1,2))]. 9950 (x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y). [para(9938(a,1),7113(a,1,1,2))]. 9951 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [para(9938(a,1),9125(a,1,2))]. 9952 (x * a(y,z,K(u,w))) * K(w,u) = x * L(K(w,u),z,y). [para(9938(a,1),9906(a,1,1,2))]. 9953 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(6493,a,9943,a)]. 9954 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [hyper(255,a,9142,a,b,9943,a(flip)),flip(a)]. 9956 K(L(x,y,z),u) * K(u,x) = a(z,y * x,K(u,x)). [para(7046(a,1),9943(a,1,1))]. 9957 x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. [para(9944(a,1),94(a,1,2)),flip(b)]. 9958 K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). [para(7039(a,1),9953(a,1,1))]. 9959 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(9949(a,1),5905(a,2,2))]. 9962 (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). [para(6633(a,1),9951(a,1,1)),flip(a)]. 9963 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [hyper(23,a,9950,a,b,9952,a),flip(a)]. 9964 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [hyper(255,a,5318,a(flip),b,9963,a(flip))]. 9965 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). [para(9963(a,1),384(a,1,1))]. 9966 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [hyper(255,a,5433,a,b,9954,a),flip(a)]. 9967 x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). [hyper(255,a,7677,a(flip),b,9962,a(flip)),flip(a)]. 9968 (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). [para(9946(a,1),9967(a,1,2)),flip(a)]. 9969 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [hyper(422,a,9968,a)]. 9970 a(x,y,a(z,u,K(y,w))) = 1. [hyper(39,a,9969,a)]. 9971 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(8242(a,1),9970(a,1,3,3))]. 9973 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(255,a,8135,a(flip),b,9432,a)]. 9975 R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. [para(7542(a,1),9811(a,1,1))]. 9976 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(8231(a,1),9813(a,1,1)),flip(a)]. 9977 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(9976(a,1),21(a,1,1))]. 9979 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(18(a,1),9977(a,1,1,1,1))]. 9980 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(9495,a,9926,a)]. 9981 K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). [para(5618(a,1),9926(a,2,2))]. 9982 K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(9926(a,1),8439(a,2,2))]. 9983 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(8176,a,9973,a)]. 9984 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(7582(a,1),9975(a,1,1))]. 9985 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(255,a,9759,a(flip),b,9984,a(flip))]. 9986 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(7233(a,2),9985(a,1,1))]. 9987 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(9986(a,1),5384(a,1))]. 9989 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(1327(a,1),7689(a,1,2)),flip(a)]. 9990 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(6362(a,1),7809(a,1,2)),flip(a)]. 9991 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(255,a,3340,a,b,9990,a)]. 9992 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(6209(a,1),7922(a,1,1,2))]. 9993 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(9992(a,2),7218(a,1,1))]. 9994 T(x * R(K(y,z),u,w),K(v5,y)) = T(x,K(v5,y)) * R(K(y,z),u,w). [hyper(8164,a,8216,a),flip(a)]. 9998 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). [hyper(255,a,9868,a(flip),b,8825,a)]. 9999 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(255,a,7513,a(flip),b,8966,a)]. 10001 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(255,a,9598,a(flip),b,9999,a(flip)),flip(a)]. 10002 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(7908(a,1),9143(a,1,2)),flip(a)]. 10004 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1751(a,1),9177(a,1,2,2))]. 10005 (K(x,y) * T(z,u)) / K(x,T(y,z)) = (z * (K(x,y) * K(z,u))) * K(y,x). [para(7539(a,2),9256(a,1,2))]. 10006 K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y). [para(8134(a,1),9384(a,1,1))]. 10009 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(4446(a,1),9523(a,1,1))]. 10010 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(255,a,9240,a(flip),b,10009,a)]. 10011 T(T(K(x,y) * z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). [para(9264(a,2),9579(a,1,1))]. 10012 T(x,y * x) * ((T(x,x * y) * K(z,x)) \ u) = K(x,z) * u. [para(3140(a,1),9730(a,1,1,1))]. 10013 T(x,y * x) * (L(x,y,x) \ z) = K(x,y) * z. [para(5707(a,1),10012(a,1,2,1))]. 10014 T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. [para(4563(a,1),10013(a,1,1))]. 10015 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(255,a,9376,a,b,10014,a(flip)),flip(a)]. 10016 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(9809,a,10015,a)]. 10017 a(x,y,x) * z = z * a(x,y,x). [hyper(9807,a,10015,a)]. 10018 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(9372(a,1),10015(a,1,2)),flip(a)]. 10019 T(x,a(y,z,y)) = x. [hyper(8094,a,10016,a)]. 10020 T(a(x,y,x),z) = a(x,y,x). [hyper(4425,a,10016,a)]. 10021 x / a(y,z,y) = a(y,z,y) \ x. [hyper(96,a,10016,a)]. 10022 K(x,a(y,z,y)) = 1. [hyper(41,a,10019,a)]. 10023 a(x,y,x) * z != u | z * a(x,y,x) = u. [para(10019(a,1),225(a,1,2))]. 10025 x * K(y,a(z,u,z)) = x. [para(10022(a,2),17(a,1,2))]. 10029 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(10025(a,1),208(a,1)),flip(a)]. 10030 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(10025(a,1),266(a,1)),flip(b)]. 10031 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(10025(a,1),5301(a,1,1,1))]. 10032 (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). [para(10025(a,1),5436(a,1,1)),flip(a)]. 10036 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(255,a,9609,a(flip),b,10017,a)]. 10039 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(10017(a,1),574(a,1,2,1))]. 10043 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = a(y,z,y) \ x. [hyper(255,a,9874,a,b,10021,a(flip)),flip(a)]. 10044 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(10021(a,1),9380(a,1,2))]. 10047 T(x,R(a(y,z,y),u,w)) = x. [hyper(174,a,10031,a)]. 10048 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(10020(a,1),10039(a,2,1))]. 10049 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(9164(a,2),10048(a,1,2,1))]. 10051 (x / K(y,z)) * K(y,y * z) = a(y,z,y) \ x. [para(9168(a,1),10043(a,1,1,2))]. 10052 (x * K(y,z)) * K(z,z * y) = a(z,y,z) \ x. [para(6673(a,1),10051(a,1,1))]. 10053 (x / R(y,z,y)) * y = a(y,z,y) \ x. [hyper(255,a,7065,a(flip),b,10052,a(flip)),flip(a)]. 10054 (x / R(y,z,y)) * y = x / a(y,z,y). [hyper(255,a,10021,a,b,10053,a)]. 10055 (a(x,y,x) * (z * x)) / R(x,y,x) = z. [hyper(23,a,18,a(flip),b,10053,a)]. 10056 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(255,a,9217,a(flip),b,10053,a(flip)),flip(a)]. 10057 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(79,a,10053,a(flip),b,9217,a(flip)),flip(a)]. 10058 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(81,a,20,a(flip),b,10054,a),flip(a)]. 10059 x * (y \ L(y,z,y)) = x / a(y,z,y). [hyper(255,a,9217,a(flip),b,10054,a(flip)),flip(a)]. 10060 a(x,y,x) * (z * x) = z * R(x,y,x). [para(10055(a,1),21(a,1,1)),flip(a)]. 10061 (x * R(y,z,y)) / (x * y) = a(y,z,y). [para(10055(a,1),77(a,1,1,1))]. 10062 a(x,y,x) \ K(x,z) = x \ L(T(x,z),y,x). [hyper(255,a,7709,a(flip),b,10056,a(flip))]. 10064 (x / y) * R(y,z,y) = x * a(y,z,y). [para(10058(a,1),21(a,1,1))]. 10065 x / (y \ L(y,z,y)) = x * a(y,z,y). [hyper(81,a,20,a(flip),b,10059,a)]. 10066 (x * y) * a(y,z,y) = x * R(y,z,y). [hyper(10023,a,10060,a)]. 10068 (x * R(y,z,y)) / (x * y) != u | a(y,z,y) = u. [para(10060(a,1),304(a,1,1)),flip(b)]. 10069 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(10061(a,1),226(a,1,1)),flip(b)]. 10070 ((x * y) * R(L(z,y,x),u,L(z,y,x))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(112(a,1),10061(a,1,2))]. 10072 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(255,a,7516,a,b,10064,a(flip)),flip(a)]. 10073 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4624(a,1),10064(a,1,2))]. 10074 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10064(a,2),9382(a,1,2))]. 10075 x / (a(y,z,y) \ 1) = x * a(y,z,y). [para(10057(a,2),10065(a,1,2))]. 10076 (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). [para(10066(a,1),10032(a,1,1,2))]. 10077 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(18(a,1),10072(a,1,2)),flip(a)]. 10078 R(x,y,x) * (T(x,z) \ u) = (K(z,x) * u) * a(x,y,x). [para(5556(a,1),10072(a,1,2))]. 10079 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [hyper(500,a,10075,a)]. 10080 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(10057(a,1),10079(a,1,3))]. 10081 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [para(9153(a,2),10080(a,1,2))]. 10082 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(10029,a,10077,a)]. 10083 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(10082(a,1),466(a,1,1,1))]. 10085 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(18(a,1),9866(a,1,1,2,1)),flip(a)]. 10086 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(18(a,1),9867(a,1,1,2,1))]. 10088 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(7666,a,9959,a)]. 10089 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(138(a,1),10088(a,1,2,2))]. 10090 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(255,a,7818,a,b,9989,a(flip)),flip(a)]. 10091 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(127(a,1),10004(a,1,2)),flip(a)]. 10092 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(255,a,10049,a(flip),b,10091,a)]. 10093 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). [para(5216(a,1),10092(a,1,1,2)),flip(a)]. 10094 (x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) * K(z,T(y,x)). [hyper(7607,a,10005,a),flip(a)]. 10095 K(x,K(y,z \ 1)) \ (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(6222(a,1),10006(a,1,2))]. 10096 K(K(x,y \ 1),z) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [hyper(5623,a,10095,a)]. 10097 K(x,K(y \ 1,z)) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [para(8100(a,1),10096(a,1,1))]. 10098 K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(8448(a,1),10097(a,1,1))]. 10099 K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z). [hyper(9419,a,10098,a)]. 10100 K(x,y) * (K(z,x) * (K(x,y) \ u)) = K(z,x) * u. [hyper(8207,a,10011,a)]. 10102 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(18(a,1),10100(a,1,2,2))]. 10103 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(5600(a,1),10100(a,1,2,2))]. 10105 (K(x,y) * K(z,x)) \ (K(z,x) * (K(x,y) * u)) = L(u,K(z,x),K(x,y)). [hyper(80,a,10102,a(flip),b,112,a)]. 10106 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [para(5608(a,1),10102(a,1,2)),flip(a)]. 10107 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(7044(a,1),10102(a,1,2,1)),flip(a)]. 10108 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(5622,a,10103,a)]. 10109 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(5622,a,10106,a)]. 10110 (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). [para(10108(a,1),1882(a,1,1,1,1))]. 10112 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(8138(a,2),10109(a,1,1))]. 10115 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(8138(a,2),10112(a,2,2,1))]. 10116 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(310,a,10115,a),flip(a)]. 10117 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(8138(a,2),10116(a,1,2,1))]. 10118 L(x,K(y,z),K(z,u)) != w | L(x,K(z,u),K(y,z)) = w. [para(10105(a,1),2086(a,1))]. 10119 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(255,a,7816,a(flip),b,10090,a(flip)),flip(a)]. 10120 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (T(x,u) * K(z,T(y,x))). [hyper(255,a,7774,a(flip),b,10094,a)]. 10121 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(7044(a,1),10107(a,1,1))]. 10122 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (K(x,u) * (K(z,y) * x)). [para(7566(a,2),10120(a,2,2))]. 10123 K(x,y) * (K(z,u) * (K(y,x) * z)) = T(z,T(u,K(x,y))). [hyper(8417,a,10122,a),flip(a)]. 10124 K(x,y) * (K(K(x,y) * z,u) * z) = T(K(x,y) * z,T(u,K(x,y))). [para(5608(a,1),10123(a,1,2,2))]. 10125 K(x,y) * (z * K(z * K(x,y),u)) = T(K(x,y) * z,T(u,K(x,y))). [para(8285(a,1),10124(a,1,2))]. 10126 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [hyper(255,a,5991,a(flip),b,7763,a(flip))]. 10127 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(255,a,5991,a(flip),b,7820,a(flip))]. 10128 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(114(a,2),10127(a,1,1))]. 10129 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(10127(a,1),9431(a,1,2))]. 10130 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(255,a,7794,a(flip),b,8071,a(flip)),flip(a)]. 10132 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(255,a,5821,a(flip),b,10130,a(flip))]. 10133 R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). [para(8479(a,1),10132(a,1,2))]. 10135 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(255,a,5994,a(flip),b,8080,a)]. 10136 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(5340(a,1),10135(a,1,1)),flip(a)]. 10137 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8197(a,1),8617(a,1,1,3))]. 10138 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5600(a,1),10137(a,2,2))]. 10139 L(K(x,T(T(y,z),u * (K(y,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7539(a,2),8988(a,1,1))]. 10140 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(8183,a,9319,a)]. 10141 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(7891,a,9555,a)]. 10142 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1303(a,1),9726(a,1,2,1))]. 10143 L(K(T(T(x,y),z * y),u),y,z) * w = K(x,(z * y) / (z * (u \ y))) * w. [hyper(255,a,5600,a(flip),b,9812,a)]. 10144 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(8049(a,1),9845(a,1,1,2))]. 10145 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(255,a,5821,a(flip),b,10144,a(flip))]. 10147 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(255,a,251,a(flip),b,9852,a)]. 10148 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(255,a,5242,a,b,10147,a)]. 10150 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(255,a,8134,a,b,10148,a)]. 10151 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(18(a,1),9979(a,2,2,1,1))]. 10152 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(96,a,10151,a)]. 10153 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(10151(a,1),304(a,1,1)),flip(b)]. 10155 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(127(a,2),10152(a,1,2))]. 10156 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(9300(a,2),10155(a,1,1))]. 10157 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(8914(a,1),10139(a,1,1))]. 10158 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(255,a,9770,a(flip),b,10157,a(flip)),flip(a)]. 10160 K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. [para(10140(a,1),8183(a,1))]. 10161 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(584(a,1),10142(a,1,2,2))]. 10162 L(K(T(x,y),T(z,u * y)),y,u) * w = K(x,(u * y) / (u * (z \ y))) * w. [para(7542(a,1),10143(a,1,1,1))]. 10163 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(10156(a,1),466(a,1))]. 10164 L(K(x,T(T(y,z * u),u)),u,z) * w = K(x,(z * u) / (z * (y \ u))) * w. [para(7542(a,1),10162(a,1,1,1))]. 10165 K((x * y) / (x * (z \ y)),u) * w = K(z,(x * y) / (x * (u \ y))) * w. [para(9415(a,1),10164(a,1,1))]. 10166 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(25,a,10165,a)]. 10167 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(255,a,10158,a(flip),b,10166,a(flip))]. 10168 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(255,a,6520,a(flip),b,10166,a(flip))]. 10169 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(10167(a,2),21(a,1,1))]. 10171 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(10168(a,2),10153(a,1))]. 10172 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1304(a,1),10169(a,1,1,2))]. 10173 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(10169(a,1),9088(a,1,2)),flip(a)]. 10174 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(10169(a,1),9246(a,1,2,2,1)),flip(a)]. 10175 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5622,a,10172,a),flip(a)]. 10176 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5608(a,1),10172(a,1,2,2)),flip(a)]. 10177 K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. [para(8242(a,1),10172(a,1,1))]. 10178 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(80,a,64,a(flip),b,10175,a),flip(a)]. 10179 (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [hyper(80,a,10178,a,b,1776,a)]. 10180 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(7516(a,1),10176(a,2,2))]. 10184 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5560(a,1),10180(a,1,2)),flip(a)]. 10185 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(255,a,10074,a(flip),b,10184,a(flip))]. 10186 (K(x,y) * z) * a(y,u,y) = y * (L(T(y,x),u,y) \ z). [hyper(255,a,10078,a(flip),b,10185,a(flip)),flip(a)]. 10187 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(10185(a,1),7449(a,1,2))]. 10188 a(x,y,x) * (K(z,x) * u) = x * (L(T(x,z),y,x) \ u). [hyper(10029,a,10186,a)]. 10189 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5634,a,10187,a),flip(a)]. 10190 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(5649(a,1),5304(a,2,1))]. 10191 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(5216(a,1),10190(a,1,1,1))]. 10192 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [para(10191(a,1),73(a,1,1))]. 10193 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(4505(a,1),10192(a,1,1,2))]. 10194 T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(6086(a,1),5400(a,1,2,1))]. 10195 K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [hyper(8694,a,10194,a)]. 10196 K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7539(a,2),10195(a,1,2,1))]. 10197 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(184(a,1),5695(a,1,2)),flip(a)]. 10198 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(5381(a,1),10197(a,1,1,2,1))]. 10199 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(183(a,1),5696(a,1,2)),flip(a)]. 10200 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(5381(a,1),10199(a,1,1,2,1))]. 10201 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(9938(a,1),10200(a,1,1)),flip(a)]. 10202 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(255,a,10121,a,b,10201,a(flip)),flip(a)]. 10203 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6491(a,1),10201(a,1,2)),flip(a)]. 10204 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(80,a,5608,a(flip),b,10203,a),flip(a)]. 10205 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(255,a,10202,a(flip),b,10204,a(flip))]. 10206 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(416,a,10205,a)]. 10207 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(255,a,9940,a,b,10205,a)]. 10209 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(10207(a,2),24(a,1))]. 10210 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5683(a,1),5871(a,1,2))]. 10214 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6978(a,1),6427(a,1,1,1))]. 10215 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(81,a,8995,a(flip),b,10214,a(flip))]. 10218 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(255,a,1070,a(flip),b,7321,a(flip)),flip(a)]. 10219 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(9140(a,1),7367(a,1)),flip(a)]. 10224 K(x,y) * T(z * R(K(y,u),w,v5),K(x,y)) = (z * K(x,y)) * R(K(y,u),w,v5). [para(9994(a,2),8659(a,1,2))]. 10225 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(83,a,8752,a),flip(a)]. 10226 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4902(a,1),10225(a,1,1)),flip(a)]. 10227 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(6511,a,10226,a)]. 10228 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(255,a,5992,a(flip),b,8759,a)]. 10230 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(255,a,8951,a(flip),b,8952,a)]. 10231 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(70(a,1),10230(a,1,1,2,1,2,1))]. 10232 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(255,a,8582,a(flip),b,10231,a(flip)),flip(a)]. 10233 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(8555,a,10232,a)]. 10234 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [hyper(255,a,7671,a(flip),b,9001,a)]. 10243 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(184(a,1),9388(a,2,1))]. 10244 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(255,a,9304,a(flip),b,10243,a(flip))]. 10245 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1849(a,1),9436(a,1,2))]. 10246 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(636,a,10245,a),flip(a)]. 10248 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)). [para(7157(a,1),10246(a,1,2)),flip(a)]. 10249 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [para(10246(a,1),9437(a,1,2))]. 10250 K(x * L(y,z,u),y) != K(x,y) * w | a(y,x,L(y,z,u)) = w. [para(10249(a,1),24(a,1))]. 10251 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1958(a,1),9438(a,1,2))]. 10252 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(636,a,10251,a),flip(a)]. 10253 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10251(a,1),636(a,1))]. 10254 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(9439,a,10252,a)]. 10255 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(10252(a,1),19(a,1,2))]. 10256 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(10252(a,1),6135(a,1,1)),flip(a)]. 10257 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(10252(a,1),9387(a,1,2)),flip(a)]. 10258 T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [para(10133(a,2),10252(a,1,2))]. 10259 R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(4787(a,1),10256(a,2,1))]. 10261 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(10254(a,1),6689(a,1,1))]. 10262 K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). [para(8060(a,1),10254(a,1,1))]. 10263 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(10254(a,1),8818(a,1,1)),flip(a)]. 10264 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(21(a,1),10261(a,1,2,2))]. 10265 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5671,a,10257,a)]. 10266 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(255,a,1070,a(flip),b,10265,a(flip)),flip(a)]. 10267 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(10265(a,1),19(a,1,2))]. 10268 ((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u). [hyper(255,a,1638,a(flip),b,9732,a(flip)),flip(a)]. 10269 (K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u). [para(8758(a,2),10268(a,1,1))]. 10270 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(73(a,1),10269(a,1,1,2,1))]. 10271 L(x,K(y,z),K(z,u)) = x. [hyper(422,a,10270,a)]. 10272 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(172,a,10270,a,b,19,a),flip(a)]. 10275 (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). [para(2075(a,1),10270(a,1,1))]. 10276 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(x,y) * (K(z,x) * u)) / (K(x,y) * K(z,x))). [para(10270(a,1),4127(a,2,2,1))]. 10277 (K(x,y) * z) / (K(y,u) * (K(x,y) * z)) = R(K(u,y),K(x,y),z). [para(10270(a,1),6417(a,1,2))]. 10278 L(x,K(y,z),K(u,y)) = x. [hyper(10118,a,10271,a)]. 10279 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(255,a,4506,a(flip),b,10271,a)]. 10280 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [hyper(255,a,6306,a(flip),b,10271,a(flip)),flip(a)]. 10281 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7542(a,1),10271(a,1,2))]. 10282 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(255,a,5436,a(flip),b,10278,a(flip)),flip(a)]. 10283 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(10278(a,1),112(a,1,2))]. 10284 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(10281(a,1),112(a,1,2))]. 10285 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(10279(a,1),9047(a,1,2,3))]. 10286 K(x,y) * (K(z,x) * K(K(z,x) * K(x,y),u)) = T(K(z,x) * K(x,y),u). [hyper(5255,a,10275,a),flip(a)]. 10287 (K(x,y) * z) / (K(u,y) * z) = K(x,y) * K(y,u). [hyper(81,a,10103,a(flip),b,10275,a)]. 10288 (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). [para(2075(a,1),10280(a,1,1))]. 10289 R(K(x,y),K(y,z),u) = K(x,y). [hyper(5091,a,10283,a)]. 10290 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(81,a,10106,a(flip),b,10283,a)]. 10291 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). [para(10289(a,1),3802(a,1,1)),flip(a)]. 10292 (x * K(y,z)) / (K(u,T(z,x)) * x) = K(y,T(z,x)) * K(T(z,x),u). [para(8235(a,1),10287(a,1,1))]. 10293 (K(x,T(y,z)) * K(y,u)) \ w = K(y,T(x,z)) * (K(u,y) * w). [para(7542(a,1),10288(a,1,1,1))]. 10294 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5162(a,1),10290(a,1,1))]. 10295 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(255,a,10002,a(flip),b,10272,a(flip)),flip(a)]. 10296 R(K(x,y),K(z,y),u) = K(x,y). [hyper(5613,a,10277,a),flip(a)]. 10298 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(T(z,x),u). [para(8235(a,1),10292(a,1,2))]. 10299 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(z,T(u,x)). [para(7542(a,1),10298(a,2,2))]. 10300 x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(160(a,2),10294(a,1,2,2,2))]. 10301 T(K(x,y) * K(z,x),T(u,K(x,y))) = T(K(z,x) * K(x,y),u). [hyper(255,a,10125,a(flip),b,10286,a(flip)),flip(a)]. 10302 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(5216(a,1),10093(a,2,2))]. 10303 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(8242(a,1),10177(a,1,2,2,1))]. 10305 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(255,a,7283,a(flip),b,10210,a(flip))]. 10306 ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). [para(10145(a,1),10218(a,2,2,2,1,1))]. 10307 (x * R(K(y,z),u,w)) * K(v5,y) = (x * K(v5,y)) * R(K(y,z),u,w). [hyper(225,a,10224,a)]. 10308 (x * R(K(y,z),u,w)) * K(v5,y) = x * (K(v5,y) * R(K(y,z),u,w)). [hyper(255,a,9120,a(flip),b,10307,a)]. 10309 x / (K(y,z) * R(K(z,y),u,w)) = x * (K(z,y) * R(K(y,z),u,w)). [hyper(255,a,9869,a,b,10308,a(flip)),flip(a)]. 10310 x * (K(y,z) * R(K(z,y),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(5604(a,1),10309(a,1,2)),flip(a)]. 10311 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [para(5604(a,1),10310(a,1,2)),flip(a)]. 10312 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(4320,a,10311,a)]. 10313 a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(10253,a,10258,a)]. 10314 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(10133(a,1),10259(a,1,1))]. 10315 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(9213,a,10282,a)]. 10316 T(x,T((1 / y) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(8805(a,1),6170(a,1,1))]. 10317 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3810(a,1),6345(a,1,2,1,1))]. 10318 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3312(a,1),10317(a,1,2))]. 10319 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(6440,a,10176,a)]. 10320 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(10319(a,1),7218(a,1,1,2)),flip(a)]. 10321 R(K(x,y),R(x,z,u),w) = K(x,y). [hyper(255,a,6670,a(flip),b,10320,a)]. 10322 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(255,a,6374,a(flip),b,10321,a(flip)),flip(a)]. 10323 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(255,a,6373,a(flip),b,7194,a(flip))]. 10324 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1940(a,2),7281(a,1,2))]. 10325 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. [para(7542(a,1),8295(a,2,1,2))]. 10326 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(8939(a,1),5485(a,1))]. 10327 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(4446(a,1),9184(a,1,1)),flip(a)]. 10328 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(10271(a,1),9197(a,1,1,1)),flip(a)]. 10329 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2075(a,1),10328(a,1,2,2))]. 10330 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(10329(a,1),6634(a,1,1))]. 10331 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(6839(a,1),10330(a,1,1,1)),flip(a)]. 10332 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(47(a,2),9268(a,1,1,2))]. 10333 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). [para(7539(a,2),9679(a,2,2,1))]. 10334 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(5490,a,9721,a),flip(a)]. 10335 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(255,a,8852,a(flip),b,10334,a)]. 10336 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(8861,a,10335,a)]. 10337 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9850(a,1),10336(a,1,2))]. 10338 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(255,a,10129,a(flip),b,10337,a(flip))]. 10339 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(255,a,8856,a(flip),b,10338,a(flip))]. 10340 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(8136,a,10339,a)]. 10341 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(255,a,9983,a(flip),b,10340,a(flip)),flip(a)]. 10342 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(255,a,9758,a(flip),b,10341,a)]. 10344 K(x,K(y,a(z,x,u))) = 1. [para(166(a,1),10342(a,1,2,2,3))]. 10346 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(10344(a,1),8105(a,1,2)),flip(a)]. 10347 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(255,a,17,a(flip),b,10346,a)]. 10348 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(255,a,8367,a(flip),b,10347,a(flip)),flip(a)]. 10349 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [para(10348(a,1),127(a,1,2)),flip(a)]. 10350 K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. [para(9729(a,1),5485(a,1))]. 10351 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(9836(a,2),9337(a,1))]. 10353 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(7554(a,1),10262(a,1,2)),flip(a)]. 10354 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(255,a,10254,a(flip),b,10353,a)]. 10356 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(129(a,1),10354(a,1,2)),flip(a)]. 10357 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(332(a,1),10354(a,1,2,2))]. 10358 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(10356(a,1),10264(a,1,1))]. 10359 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(255,a,7618,a(flip),b,10358,a)]. 10360 T(x,T((y \ 1) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(5088(a,1),10316(a,1,1))]. 10361 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(224,a,10324,a)]. 10362 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(6223(a,1),10361(a,1,2)),flip(a)]. 10363 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5209(a,1),10362(a,2,2))]. 10364 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(73(a,1),10363(a,1,1,2,1))]. 10365 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(73(a,1),10364(a,2,2,1,2))]. 10366 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(80,a,6834,a(flip),b,10365,a(flip))]. 10367 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(80,a,10365,a(flip),b,7184,a(flip))]. 10369 (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). [para(5192(a,1),10365(a,2,2))]. 10371 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(6672(a,1),10365(a,1,1)),flip(a)]. 10372 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [para(128(a,1),10366(a,2,1))]. 10373 L(K(x,y),y \ 1,z) = K(x,y). [hyper(5532,a,10367,a)]. 10374 L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). [hyper(255,a,9294,a(flip),b,10373,a)]. 10375 (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). [hyper(255,a,7184,a(flip),b,10369,a(flip)),flip(a)]. 10376 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5216(a,1),10371(a,1,2,1))]. 10377 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(10372(a,1),5025(a,1,1)),flip(a)]. 10378 (x * (y \ K(z,y))) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(10375(a,1),3766(a,1,1))]. 10379 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(255,a,4424,a(flip),b,10377,a(flip)),flip(a)]. 10380 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(6466(a,1),10379(a,2,1,1))]. 10381 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(7315(a,1),10380(a,1,1))]. 10382 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(10381(a,1),4290(a,2,1))]. 10383 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(255,a,7032,a(flip),b,10374,a(flip)),flip(a)]. 10384 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(255,a,9656,a(flip),b,10383,a(flip))]. 10385 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(255,a,9687,a(flip),b,10384,a)]. 10386 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(8081,a,10385,a)]. 10388 K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). [para(127(a,1),10386(a,1,1,1)),flip(a)]. 10391 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [hyper(255,a,9685,a(flip),b,10388,a(flip))]. 10392 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(255,a,7068,a,b,10391,a(flip)),flip(a)]. 10393 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(255,a,7038,a,b,10391,a(flip)),flip(a)]. 10394 L(K(x * y,x),y,z) = K(z \ (x * (z * y)),x). [hyper(255,a,7847,a(flip),b,10393,a)]. 10395 L(K(x * y,y),x,z) = K(z \ ((z * x) * y),y). [para(5894(a,2),10393(a,1,1))]. 10396 K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). [para(10393(a,1),9938(a,1,2))]. 10397 K(x \ (y * (x * z)),T(y,K(u,x \ (y * (x * z))))) = L(K(y * z,y),z,x). [hyper(255,a,7555,a,b,10394,a),flip(a)]. 10398 L(K(x * y,y),x,z) = K(z \ (y * (z * x)),y). [para(5894(a,2),10394(a,1,1))]. 10399 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x * y,x)). [para(10394(a,1),7438(a,2,1))]. 10400 L(K(x * T(y,z * x),T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). [para(127(a,1),10395(a,2,1,2))]. 10401 R(x,y \ 1,K(z,y)) = x. [hyper(304,a,10378,a)]. 10403 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [hyper(255,a,5328,a(flip),b,10401,a(flip)),flip(a)]. 10404 R(x,y \ 1,K(z,T(y,u))) = x. [para(7542(a,1),10401(a,1,3))]. 10405 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(5216(a,1),10404(a,1,3,2))]. 10406 R(x,y \ K(y,z),K(u,y)) = x. [para(5402(a,1),10405(a,1,2))]. 10407 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(255,a,6752,a(flip),b,10406,a(flip)),flip(a)]. 10408 R(x,y,K(z,y \ 1)) = x. [para(290(a,1),10406(a,1,2))]. 10410 R(x,y \ z,K(u,z \ y)) = x. [para(6580(a,1),10408(a,1,3))]. 10411 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(10410(a,1),451(a,1,1))]. 10412 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(5206(a,1),10403(a,1,2))]. 10413 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [para(10412(a,1),73(a,1,1))]. 10414 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [hyper(255,a,7117,a,b,10413,a(flip)),flip(a)]. 10415 (T(x,y) \ 1) \ T(y,x) = (x \ 1) \ y. [para(10413(a,1),7118(a,1,1))]. 10416 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(10414(a,1),4703(a,1,1)),flip(a)]. 10417 K(x,y) * ((x \ 1) \ y) = (T(x,y) \ 1) \ y. [para(10415(a,1),6556(a,1,2))]. 10419 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(5252(a,2),10407(a,1,1))]. 10420 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [para(10419(a,2),73(a,1,1))]. 10421 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(5374(a,1),10420(a,2,2))]. 10422 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(73(a,1),10416(a,1,1,2,1)),flip(a)]. 10423 (T(x,y) \ 1) \ y = x * (((x \ 1) \ y) / x). [hyper(255,a,5590,a(flip),b,10417,a(flip))]. 10424 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [para(10422(a,1),70(a,1,2))]. 10425 (T(1 * (K(x,y) * K(z,x)),u) \ 1) \ u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(9215(a,1),10423(a,2,2,1,1))]. 10426 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [hyper(255,a,7171,a,b,10424,a(flip))]. 10427 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(10426(a,1),2229(a,1,1))]. 10428 (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). [para(6064(a,2),10427(a,1,1))]. 10429 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(18(a,1),10428(a,1,1,1,1)),flip(a)]. 10430 (((K(x,y) * K(z,x)) * u) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(9215(a,1),10429(a,1,1,1)),flip(a)]. 10431 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(10411(a,1),7196(a,1,2))]. 10432 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(129(a,1),10421(a,1,1,1))]. 10433 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(10432(a,1),7299(a,1,1))]. 10434 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4690(a,2),10433(a,1,1,2))]. 10435 (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(9756(a,1),10434(a,1,1,2))]. 10436 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5385(a,1),10376(a,1,1,2))]. 10437 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5849(a,1),10436(a,2,2))]. 10439 R(x,K(y \ 1,z),y) = x. [hyper(5091,a,10437,a)]. 10440 L(x \ 1,K(x,y),z) = x \ 1. [hyper(422,a,10437,a)]. 10441 R(x,y,K(y \ 1,z)) = x. [hyper(7316,a,10439,a)]. 10442 (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). [para(10441(a,1),122(a,1,1)),flip(a)]. 10445 L(K(x \ 1,y),x,z) = K(x \ 1,y). [hyper(422,a,10442,a)]. 10446 a(x,y,K(y \ 1,z)) = 1. [hyper(39,a,10445,a)]. 10447 a(x,y \ 1,K(y,z)) = 1. [para(3312(a,1),10446(a,1,3))]. 10448 L(K(x,y),x \ 1,z) = K(x,y). [hyper(38,a,10447,a)]. 10450 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(255,a,6185,a(flip),b,10448,a(flip)),flip(a)]. 10451 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [para(10450(a,1),5252(a,2,2))]. 10452 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(255,a,5252,a,b,10451,a)]. 10453 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(255,a,9386,a(flip),b,10452,a)]. 10455 K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). [para(10396(a,1),5628(a,1,2))]. 10456 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(9957,a,10455,a)]. 10457 L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). [para(19(a,1),10456(a,2,2,2,1))]. 10458 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(5842(a,2),10456(a,1,1))]. 10459 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(233(a,1),10458(a,2,2))]. 10460 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [hyper(7521,a,10457,a)]. 10461 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(255,a,9773,a,b,10460,a(flip)),flip(a)]. 10462 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [hyper(255,a,10010,a(flip),b,10461,a(flip))]. 10463 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [hyper(9335,a,10462,a)]. 10464 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [hyper(255,a,9229,a(flip),b,10463,a(flip))]. 10466 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [hyper(255,a,8265,a(flip),b,10464,a(flip))]. 10467 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(255,a,7049,a(flip),b,10459,a)]. 10469 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(10270(a,1),10430(a,1,1,1))]. 10470 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(5939,a,10431,a),flip(a)]. 10471 K((x \ y) * (y \ x),z) = 1. [hyper(41,a,10470,a)]. 10472 T(x,(y \ z) * (z \ y)) = x. [hyper(40,a,10470,a)]. 10473 K(x * ((y * x) \ y),z) = 1. [para(18(a,1),10471(a,1,1,1))]. 10476 T(x,y * ((z * y) \ z)) = x. [para(18(a,1),10472(a,1,2,1))]. 10479 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(42,a,10473,a)]. 10480 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(6157,a,10476,a),flip(a)]. 10481 K(x,y * ((z * y) \ z)) = 1. [hyper(41,a,10476,a)]. 10485 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(162(a,2),10479(a,1,1,2))]. 10486 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(255,a,9741,a(flip),b,10485,a(flip)),flip(a)]. 10487 T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). [hyper(255,a,5928,a(flip),b,10485,a(flip)),flip(a)]. 10491 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(10486(a,1),2132(a,1,1))]. 10492 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * (K(z,x) * 1),u). [para(10280(a,1),10469(a,2,1))]. 10493 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * K(z,x),u). [para(17(a,1),10492(a,2,1,2))]. 10504 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [hyper(255,a,3317,a(flip),b,10466,a)]. 10505 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [hyper(8714,a,10504,a)]. 10506 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [hyper(255,a,9563,a,b,10505,a),flip(a)]. 10507 K(L(x \ 1,x,y) \ z,z) = L(K(z * x,z),x,y). [hyper(255,a,9766,a(flip),b,10397,a(flip)),flip(a)]. 10508 x / (L(K(y * z,y),z,u) * x) = K(y,L(z \ 1,z,u) \ y). [para(10507(a,1),5605(a,1,2,1))]. 10509 K(x,L(y \ 1,y,z) \ x) = L(K(x,x * y),y,z). [hyper(6492,a,10508,a),flip(a)]. 10510 L(K(x,x * ((y * z) \ y)),(y * z) \ y,z * y) = K(x,z \ x). [para(5463(a,1),10509(a,1,2,1)),flip(a)]. 10511 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(7436(a,1),10506(a,1,1))]. 10512 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(19(a,1),10511(a,2,2,1,2,1))]. 10513 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [hyper(255,a,5893,a,b,10512,a),flip(a)]. 10515 T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). [para(10513(a,1),5252(a,2,2))]. 10516 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(9600(a,1),10325(a,2,1))]. 10517 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(255,a,10138,a(flip),b,10516,a)]. 10518 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7542(a,1),10517(a,1,1,2))]. 10519 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(8235(a,1),10518(a,1,2))]. 10520 (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). [para(9428(a,2),10519(a,1,1))]. 10521 K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). [para(8193(a,1),10332(a,1,2))]. 10522 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * T(x \ K(x,y),z). [para(10099(a,1),10333(a,2,2))]. 10523 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [hyper(255,a,127,a(flip),b,10522,a)]. 10524 L(x \ 1,K(x,T(y,z)),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(7539(a,2),10523(a,1,1,2))]. 10525 (x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(10440(a,1),10524(a,1,1))]. 10526 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [hyper(255,a,6532,a,b,10525,a(flip)),flip(a)]. 10527 ((x \ 1) * y) / ((x \ K(x,z)) * y) = K(z,x). [para(10525(a,1),6539(a,1,2))]. 10529 L(x,y \ 1,K(y,z)) = x. [hyper(3610,a,10526,a)]. 10530 a(K(x,y),x \ 1,z) = 1. [hyper(39,a,10529,a)]. 10531 R(K(x,y),y \ 1,z) = K(x,y). [hyper(255,a,6420,a(flip),b,10527,a(flip)),flip(a)]. 10533 T(x,T(1 \ (y * x),z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(9890(a,1),10360(a,1,1))]. 10534 L(K(x * y,T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). [para(8332(a,1),10400(a,1,1))]. 10536 K(x \ (y * (x * z)),T(y,x * z)) = L(K(y * z,T(y,x)),z,x). [para(9827(a,1),10534(a,1,1)),flip(a)]. 10537 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(8602,a,10536,a),flip(a)]. 10539 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(8588(a,1),10521(a,1,2))]. 10540 T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). [para(10539(a,1),5821(a,1,1,2))]. 10542 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5819(a,1),10540(a,1,1))]. 10543 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(255,a,7388,a(flip),b,10542,a(flip))]. 10544 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10543(a,1),9010(a,2,1))]. 10545 T(x,T(y * x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(59(a,1),10533(a,1,1,2,1))]. 10546 T(x,T(y * x,z)) * K((y \ 1) \ 1,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(7551(a,1),10545(a,1,2))]. 10547 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(3312(a,1),10546(a,1,2))]. 10548 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(5055(a,1),5067(a,2,1))]. 10549 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(9426(a,1),5351(a,1,2))]. 10551 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(5226(a,1),5571(a,2,2))]. 10552 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = L(x,y,z). [hyper(255,a,33,a,b,10551,a)]. 10554 L(x,y,T(x,z)) = L(x,y,x). [hyper(255,a,7750,a(flip),b,10552,a(flip)),flip(a)]. 10556 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(10554(a,1),45(a,2,1))]. 10558 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(255,a,45,a,b,10556,a)]. 10559 L(T(x,y),T(z,x),x) = L(T(x,y),z,x). [hyper(255,a,4780,a(flip),b,10558,a(flip))]. 10561 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(10558(a,1),9371(a,1,2,1))]. 10562 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(9381,a,10561,a),flip(a)]. 10564 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10562(a,1),9373(a,1,1,2))]. 10565 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10066(a,1),10564(a,1,1))]. 10567 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(255,a,10558,a(flip),b,10565,a)]. 10569 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(255,a,5030,a,b,6662,a),flip(a)]. 10570 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(6633(a,1),6669(a,2,1))]. 10571 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). [hyper(255,a,35,a,b,10570,a)]. 10574 R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). [para(169(a,1),10571(a,1,2))]. 10575 R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). [para(7158(a,1),10574(a,1,1))]. 10577 T(x,y) \ (1 / (1 / T(x * K(z,x),y))) = (T(T(x,z),y) \ 1) * T(x,y). [para(5414(a,1),7324(a,1,2,2,2,1))]. 10578 T(x,y) \ T(1 / (1 / (x * K(z,x))),y) = (T(T(x,z),y) \ 1) * T(x,y). [para(2230(a,1),10577(a,1,2))]. 10579 T(x,y) \ T(1 / (K(x,z) / x),y) = (T(T(x,z),y) \ 1) * T(x,y). [para(5649(a,1),10578(a,1,2,1,2))]. 10580 T(x,y) \ T(1 / (K(x,z) / x),y) = K(x \ 1,x) * K(z,T(x,y)). [hyper(255,a,9731,a,b,10579,a)]. 10581 T(1 / (1 / x),y) \ T(1 / (K(x,z) / x),y) = K(z,T(x,y)). [hyper(3460,a,10580,a)]. 10583 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(155(a,1),8638(a,1,1))]. 10585 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(6673(a,1),10583(a,1,2))]. 10586 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(10318(a,1),10585(a,1,2)),flip(a)]. 10587 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(255,a,16,a(flip),b,10586,a)]. 10588 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5622,a,10587,a)]. 10589 K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(4814(a,1),10588(a,1,2,2))]. 10590 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(9315(a,1),10588(a,1,1))]. 10592 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(255,a,7758,a(flip),b,8973,a(flip))]. 10594 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(255,a,8937,a(flip),b,10592,a(flip))]. 10596 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(33(a,2),10594(a,2,2))]. 10598 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5608(a,1),10596(a,1,2,2)),flip(a)]. 10599 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10598(a,1),5602(a,1,2,2)),flip(a)]. 10600 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(255,a,5602,a(flip),b,10599,a)]. 10601 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(5207(a,1),10600(a,1,1,2)),flip(a)]. 10602 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(255,a,8678,a(flip),b,9236,a(flip))]. 10604 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(35(a,2),10602(a,1,1))]. 10605 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(255,a,8097,a,b,10604,a(flip)),flip(a)]. 10606 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(255,a,9494,a,b,10605,a(flip)),flip(a)]. 10607 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(255,a,10173,a(flip),b,10606,a(flip)),flip(a)]. 10609 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(255,a,9491,a(flip),b,10607,a(flip))]. 10610 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(10609(a,1),5291(a,2,2,2))]. 10611 T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. [para(10610(a,2),5406(a,1))]. 10612 K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). [hyper(255,a,8668,a(flip),b,9247,a(flip))]. 10614 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). [para(35(a,2),10612(a,1,2))]. 10615 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). [hyper(255,a,7928,a,b,10614,a(flip)),flip(a)]. 10616 x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). [para(10615(a,1),5252(a,2,2)),flip(a)]. 10617 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). [hyper(5255,a,10616,a),flip(a)]. 10618 T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(5560(a,1),10617(a,1,2,1)),flip(a)]. 10619 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(10611,a,10618,a),flip(a)]. 10621 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(5719,a,10619,a)]. 10622 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,y),u),w)). [hyper(9499,a,9711,a),flip(a)]. 10623 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [hyper(255,a,8841,a(flip),b,10622,a(flip))]. 10625 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(255,a,10141,a(flip),b,9980,a)]. 10626 K(a(x,y,z),x) = 1. [hyper(6412,a,10625,a),flip(a)]. 10628 T(a(x,y,z),x) = a(x,y,z). [hyper(42,a,10626,a)]. 10629 a(x,y,z) * x = x * a(x,y,z). [para(10628(a,1),127(a,1,2)),flip(a)]. 10631 (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(428(a,1),10070(a,1,1))]. 10632 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(23,a,5090,a(flip),b,10382,a)]. 10633 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(73(a,1),10548(a,1,1,2)),flip(a)]. 10634 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(4216(a,1),10569(a,1,1)),flip(a)]. 10635 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(10634(a,1),6665(a,1,1)),flip(a)]. 10636 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(255,a,5588,a(flip),b,10635,a)]. 10637 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(255,a,8596,a(flip),b,10636,a(flip)),flip(a)]. 10642 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(7736(a,1),10589(a,1,1))]. 10643 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(5186(a,2),10642(a,1,2))]. 10645 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(6408(a,1),10643(a,1,1))]. 10646 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(255,a,7811,a(flip),b,10645,a)]. 10647 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(2081,a,10646,a)]. 10651 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3958(a,1),5095(a,1,2))]. 10652 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4970(a,1),5096(a,1,2)),flip(a)]. 10653 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(255,a,33,a,b,10652,a)]. 10657 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2263(a,2),10653(a,1,2))]. 10658 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(2809(a,1),10653(a,1,2)),flip(a)]. 10659 L(x,T((y \ 1) \ 1,z) \ u,w) = L(x,T(y,z) \ u,w). [para(3456(a,1),10653(a,1,2))]. 10660 L(x,T(1 / y,z) \ u,w) = L(x,T(y \ 1,z) \ u,w). [para(3514(a,1),10653(a,1,2))]. 10661 L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). [para(7026(a,1),10653(a,1,2))]. 10662 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(6519(a,1),10657(a,1,2))]. 10663 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(9252(a,1),10658(a,1,2,2)),flip(a)]. 10664 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(y \ 1,z) \ 1,x). [hyper(255,a,10547,a,b,10660,a(flip)),flip(a)]. 10665 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(6506(a,1),10663(a,1,2,2)),flip(a)]. 10687 L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). [para(9918(a,1),6744(a,1,1)),flip(a)]. 10688 L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). [para(7525(a,1),10687(a,1,2,2))]. 10690 L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). [hyper(255,a,45,a,b,10688,a)]. 10691 L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). [para(5556(a,1),10690(a,1,2))]. 10692 L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). [para(8738(a,2),10691(a,1,2))]. 10693 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(255,a,10559,a(flip),b,10692,a(flip)),flip(a)]. 10694 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(255,a,10215,a(flip),b,6976,a)]. 10696 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(9153(a,1),10694(a,1,3))]. 10697 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(10696(a,1),379(a,1,1)),flip(a)]. 10698 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(10697(a,1),9176(a,1,1))]. 10699 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). [para(10698(a,1),2168(a,1,1)),flip(a)]. 10703 R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). [para(3332(a,1),8480(a,1,2,1)),flip(a)]. 10704 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3332(a,1),10703(a,1,2)),flip(a)]. 10706 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). [para(10704(a,1),578(a,1,1,1)),flip(a)]. 10708 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ T(y * L(y \ z,u,w),x)). [para(37(a,2),8661(a,2,2,2))]. 10709 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,L(y \ z,u,w)). [hyper(255,a,7999,a(flip),b,10708,a)]. 10711 K(x,L((y * x) \ (z * x),u,w)) = K(x,L(y \ z,u,w)). [para(507(a,1),10709(a,1,2))]. 10712 K(x,L((y / x) \ z,u,w)) = K(x,L(y \ (z * x),u,w)). [para(21(a,1),10711(a,1,2,1,1)),flip(a)]. 10713 K(x,L(y \ (((y / x) * z) * x),u,w)) = K(x,L(z,u,w)). [para(18(a,1),10712(a,1,2,1)),flip(a)]. 10714 L(K(x,y \ (((y / x) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). [hyper(7021,a,10713,a)]. 10715 L(K(x,y \ (((x \ y) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). [para(8972(a,1),10714(a,1,1))]. 10716 L(K(x,y),((z / x) * y) * x,u) = K(x,L(y,z,u)). [para(7250(a,1),10715(a,1,1))]. 10717 K(L(x,(y / x) * z,u),z) = K(x,L(z,y,u)). [hyper(255,a,7046,a(flip),b,10716,a(flip)),flip(a)]. 10719 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(255,a,10481,a(flip),b,10717,a(flip))]. 10720 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(255,a,7075,a(flip),b,10719,a(flip)),flip(a)]. 10722 K(x,a(K(y,z),u,u \ 1)) = 1. [para(10312(a,1),10720(a,1,2))]. 10723 T(x,a(K(y,z),u,u \ 1)) = x. [hyper(42,a,10722,a)]. 10724 T(x,a(K(y,z),u \ 1,u)) = x. [para(3965(a,1),10723(a,1,2))]. 10725 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(40,a,10724,a)]. 10726 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(255,a,3952,a,b,10725,a)]. 10727 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5610(a,2),10726(a,1,1))]. 10728 K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u). [hyper(255,a,10196,a,b,10727,a(flip)),flip(a)]. 10729 K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u). [hyper(255,a,7570,a,b,10728,a(flip)),flip(a)]. 10730 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(255,a,8813,a(flip),b,8811,a)]. 10731 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [hyper(255,a,6850,a(flip),b,10730,a)]. 10732 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(255,a,10453,a(flip),b,10731,a(flip))]. 10734 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(255,a,9905,a,b,10732,a(flip)),flip(a)]. 10735 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(255,a,9670,a(flip),b,10734,a(flip)),flip(a)]. 10736 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(37(a,2),10735(a,1,2,1)),flip(a)]. 10737 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [hyper(255,a,9475,a(flip),b,10736,a(flip)),flip(a)]. 10738 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [hyper(255,a,9668,a(flip),b,10737,a)]. 10739 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [hyper(255,a,9414,a(flip),b,10738,a(flip)),flip(a)]. 10740 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(9467(a,1),8872(a,1,2))]. 10741 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(8138(a,1),10740(a,1,2))]. 10743 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(8548(a,1),10741(a,2,1))]. 10744 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(255,a,10263,a(flip),b,10743,a(flip)),flip(a)]. 10745 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(10219,a,10744,a)]. 10746 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(255,a,10295,a(flip),b,10745,a(flip)),flip(a)]. 10747 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). [hyper(7899,a,9051,a),flip(a)]. 10754 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). [para(8203(a,1),9401(a,1,2))]. 10755 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(255,a,8370,a(flip),b,10754,a)]. 10757 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(18(a,1),9441(a,1,2,1))]. 10759 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(33(a,2),10757(a,1,2))]. 10760 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(255,a,8655,a(flip),b,10759,a(flip)),flip(a)]. 10761 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(255,a,7435,a(flip),b,10760,a)]. 10764 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(19(a,1),10761(a,2,2,2))]. 10765 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(4621(a,1),10764(a,1,1,2))]. 10766 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(7483,a,10765,a)]. 10768 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(255,a,10601,a(flip),b,10766,a(flip))]. 10769 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(127(a,1),9624(a,1,2))]. 10770 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(9987,a,10769,a)]. 10771 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(255,a,8750,a(flip),b,10770,a(flip)),flip(a)]. 10772 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(21(a,1),10771(a,1,2,1)),flip(a)]. 10773 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(255,a,8990,a(flip),b,10772,a)]. 10774 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(166(a,1),10773(a,1,2)),flip(a)]. 10775 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(10773(a,1),9625(a,1,2))]. 10776 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(255,a,7053,a(flip),b,10775,a(flip))]. 10777 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(81,a,10776,a(flip),b,127,a(flip))]. 10779 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(255,a,251,a(flip),b,10777,a(flip))]. 10784 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(10779(a,1),7984(a,1,2))]. 10789 K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))). [hyper(255,a,9407,a(flip),b,9788,a(flip)),flip(a)]. 10790 K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(6614(a,1),9982(a,1,2))]. 10791 K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). [hyper(255,a,9315,a(flip),b,10790,a(flip)),flip(a)]. 10793 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10539(a,1),10544(a,1,2,1))]. 10794 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(5560(a,1),10793(a,1,2))]. 10796 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(7539(a,2),10590(a,1,2,2,1))]. 10797 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(255,a,4930,a(flip),b,10651,a(flip)),flip(a)]. 10798 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(255,a,9823,a(flip),b,10747,a)]. 10800 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(255,a,8254,a(flip),b,10798,a)]. 10801 K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(5600(a,1),10796(a,1,2))]. 10802 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(4047(a,1),10797(a,1,2))]. 10803 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(5716,a,10802,a),flip(a)]. 10805 R(x,1 / y,z) = R(x,y \ 1,z). [para(691(a,1),10803(a,1,2)),flip(a)]. 10806 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(1250(a,1),10803(a,1,2)),flip(a)]. 10809 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(10805(a,1),3868(a,1,2))]. 10810 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(10806(a,1),122(a,1,1))]. 10811 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(10810(a,1),25(a,1))]. 10812 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(3065(a,1),10809(a,1,2,1))]. 10813 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4387(a,1),10812(a,1,2,1)),flip(a)]. 10815 (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(1310(a,1),4673(a,1,1))]. 10816 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1328(a,1),10815(a,1,2))]. 10817 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(636,a,10816,a),flip(a)]. 10818 a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(255,a,4787,a,b,10817,a(flip)),flip(a)]. 10819 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4446(a,1),10818(a,1,1))]. 10820 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(255,a,10313,a(flip),b,10819,a(flip)),flip(a)]. 10821 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4788,a,10820,a)]. 10822 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(10821(a,1),10314(a,2,1))]. 10823 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(255,a,10256,a(flip),b,10822,a(flip)),flip(a)]. 10828 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) / K(y,z). [para(6807(a,1),7775(a,2,1))]. 10829 T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ x) = (x / y) \ T(x,y). [hyper(255,a,564,a(flip),b,7955,a)]. 10830 T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ x) = (x * y) / x. [hyper(255,a,4131,a(flip),b,10829,a)]. 10831 (T(x,y) / (x / y)) \ x = x / ((x * y) / x). [para(10830(a,1),199(a,1,2)),flip(a)]. 10832 (x * y) / (((x * y) * y) / (x * y)) = (T(x * y,y) / x) \ (x * y). [para(20(a,1),10831(a,1,1,2)),flip(a)]. 10833 (T(x * y,y) / x) \ (x * y) = x * K(y,x * y). [hyper(255,a,6840,a(flip),b,10832,a(flip))]. 10834 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(255,a,10228,a(flip),b,9286,a)]. 10836 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(255,a,6580,a(flip),b,10834,a)]. 10837 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(6591(a,1),10836(a,1,2,2))]. 10838 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(255,a,9389,a(flip),b,9392,a)]. 10839 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(8486(a,1),10838(a,1,2,1,2,1))]. 10840 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(7309,a,9777,a),flip(a)]. 10841 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(9352,a,10840,a)]. 10842 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(7354,a,10841,a)]. 10843 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(383(a,1),10842(a,1,2,1,2))]. 10844 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(255,a,9934,a(flip),b,10843,a(flip))]. 10845 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(7353,a,10844,a)]. 10846 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(255,a,7251,a,b,10844,a(flip)),flip(a)]. 10847 K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5265(a,1),10844(a,1,2,1)),flip(a)]. 10848 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(10844(a,1),7255(a,1,2,2))]. 10849 K(x,(y * z) \ (u * x)) != w | K(x,(y * (z / x)) \ u) = w. [para(10844(a,1),7353(a,1))]. 10850 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(10844(a,1),7256(a,1,1))]. 10851 K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5699(a,2),10847(a,1,2,1,1))]. 10852 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(5694,a,10848,a),flip(a)]. 10853 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(7272,a,10852,a)]. 10854 K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. [para(10852(a,1),7272(a,1))]. 10855 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [hyper(255,a,5816,a,b,10851,a(flip)),flip(a)]. 10856 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(255,a,10846,a(flip),b,10850,a(flip))]. 10857 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(255,a,8935,a(flip),b,10856,a(flip)),flip(a)]. 10858 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(255,a,7942,a,b,10857,a(flip))]. 10859 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(255,a,9482,a(flip),b,10858,a)]. 10860 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(21(a,1),10859(a,1,2,1)),flip(a)]. 10861 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(255,a,7649,a(flip),b,10860,a(flip))]. 10862 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(255,a,6580,a(flip),b,10861,a)]. 10863 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(5502,a,10862,a),flip(a)]. 10864 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(255,a,7250,a(flip),b,10862,a(flip))]. 10866 (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). [para(10863(a,1),6670(a,1,1,2))]. 10867 T(1 / (1 / x),y) \ T(1 / (K(x,z * (x \ u)) / x),y) = K(x \ (z * u),T(x,y)). [para(10863(a,1),10581(a,1,2,1,2,1))]. 10868 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(255,a,8660,a,b,10864,a(flip)),flip(a)]. 10872 L(K(x,x \ y),y,z) = K(x,x \ y). [para(18(a,1),10868(a,1,3))]. 10874 a(x,y,K(z,z \ y)) = 1. [hyper(39,a,10872,a)]. 10875 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(255,a,7803,a(flip),b,10872,a(flip)),flip(a)]. 10876 a(x,y,K(z \ y,z)) = 1. [para(5389(a,1),10874(a,1,3))]. 10877 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(38,a,10876,a)]. 10878 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(8699,a,10877,a)]. 10879 K((x * y) \ z,y) = K(y \ (x \ z),y). [hyper(7304,a,10877,a)]. 10881 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(255,a,8969,a(flip),b,10875,a(flip))]. 10883 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(19(a,1),10878(a,1,1,2,2))]. 10884 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(10878(a,1),8747(a,1,2))]. 10885 K((x * y) \ z,x) = K(x \ (y \ z),x). [hyper(255,a,6970,a(flip),b,10879,a(flip)),flip(a)]. 10886 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(255,a,7761,a(flip),b,10883,a(flip))]. 10887 K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [para(1420(a,1),10885(a,1,1,1)),flip(a)]. 10888 K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(4966(a,1),10886(a,1,1,2,1))]. 10891 R(x,y,K(z \ y,z)) = x. [hyper(757,a,10884,a)]. 10893 R(x,y / z,z) = R(x,z \ y,z). [hyper(255,a,10575,a(flip),b,10891,a(flip))]. 10894 R(x,y * z,K(z,y)) = x. [para(18(a,1),10891(a,1,3,1))]. 10895 R(x,y,T(z,y)) = R(x,y,z). [hyper(7345,a,10894,a)]. 10896 (x * (y * z)) * K(z,y) = x * (z * y). [para(10894(a,1),464(a,1,1)),flip(a)]. 10904 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(10895(a,1),10248(a,2,2))]. 10907 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [hyper(255,a,8711,a(flip),b,10893,a(flip))]. 10908 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(255,a,6373,a(flip),b,10893,a(flip))]. 10911 K(x,L(y,x,z)) = K(x,y). [hyper(7054,a,10896,a)]. 10912 K(L(x,y,z),y) = K(x,y). [hyper(255,a,9096,a,b,10911,a(flip)),flip(a)]. 10914 L(K(x,y),z,y * x) = K(x,y). [hyper(255,a,10774,a(flip),b,10911,a(flip)),flip(a)]. 10915 T(x,L(y,x,z)) = x * K(x,y). [para(10911(a,1),5252(a,2,2))]. 10917 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(10911(a,1),9323(a,1,1))]. 10921 K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [para(448(a,1),10912(a,1,1))]. 10923 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(10914(a,1),10151(a,1,1))]. 10924 T(x,L(y,x,z)) = T(x,y). [hyper(255,a,5252,a,b,10915,a)]. 10927 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(255,a,8065,a(flip),b,10924,a(flip)),flip(a)]. 10928 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(10924(a,1),127(a,1,2))]. 10930 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(448(a,1),10924(a,1,2))]. 10931 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(10924(a,1),7351(a,1,1,2)),flip(a)]. 10935 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(10928(a,1),1426(a,1,2,2))]. 10936 L(x,T(y,x),z) = L(x,y,z). [hyper(255,a,33,a,b,10931,a),flip(a)]. 10938 L(x,y / x,z) = L(x,x \ y,z). [para(129(a,1),10936(a,1,2)),flip(a)]. 10941 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [hyper(255,a,508,a(flip),b,10938,a(flip))]. 10942 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(10938(a,1),7071(a,1,1))]. 10943 K(x \ (y * z),x) = K(y * (x \ z),x). [hyper(6693,a,10866,a),flip(a)]. 10945 K(K(x,y) * (z \ T(y,x)),z) = K(z \ y,z). [para(5207(a,1),10943(a,1,1,2)),flip(a)]. 10946 K((T(x,y) / z) \ x,T(x,y) / z) = K(K(y,x) * z,T(x,y) / z). [para(73(a,1),10945(a,1,1,2)),flip(a)]. 10947 K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(4966(a,1),10881(a,1,2,2,1,2))]. 10948 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(10881(a,1),7046(a,1,1)),flip(a)]. 10949 (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,K(x,y),y * x). [para(10923(a,2),267(a,1,2))]. 10951 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(255,a,9321,a(flip),b,10917,a(flip))]. 10953 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(255,a,10128,a(flip),b,10951,a(flip)),flip(a)]. 10954 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(905(a,1),10951(a,1,1)),flip(a)]. 10956 L(x,K(y,z),z * y) = L(x,z * y,K(y,z)). [hyper(5355,a,10949,a),flip(a)]. 10957 L(x,K(y,z),z * y) != u | L(x,z * y,K(y,z)) = u. [para(10949(a,1),5355(a,1))]. 10958 L(L(x,y,z),K(y,z),z * y) = L(x,T(y,z),z). [hyper(255,a,7264,a(flip),b,10956,a)]. 10960 a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(255,a,10246,a(flip),b,10904,a)]. 10961 a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). [hyper(7303,a,10960,a)]. 10962 a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). [para(45(a,2),10961(a,1,3))]. 10963 (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). [hyper(255,a,2752,a(flip),b,10962,a(flip)),flip(a)]. 10964 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(255,a,7661,a(flip),b,10954,a)]. 10965 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(255,a,615,a(flip),b,10964,a)]. 10966 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(9354,a,10965,a)]. 10968 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(10326,a,10966,a)]. 10969 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = K(L(x,y,z),(u * w) \ v5). [hyper(255,a,7046,a(flip),b,10948,a)]. 10970 K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). [hyper(255,a,9145,a(flip),b,10963,a(flip)),flip(a)]. 10971 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [hyper(10350,a,10921,a)]. 10972 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(255,a,45,a,b,10930,a(flip)),flip(a)]. 10973 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(255,a,10953,a(flip),b,10971,a(flip))]. 10975 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(9728(a,1),10972(a,1,1))]. 10976 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(10927(a,1),10975(a,1,1)),flip(a)]. 10977 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10976(a,1),5546(a,1,2,1))]. 10979 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(255,a,5673,a(flip),b,10977,a(flip))]. 10980 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),x \ u). [para(10979(a,1),9158(a,1,2)),flip(a)]. 10981 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(127(a,1),10935(a,1,1,1))]. 10982 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1841,a,10981,a),flip(a)]. 10983 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(127(a,1),10982(a,1,2))]. 10984 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(8674,a,10983,a),flip(a)]. 10986 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(10984(a,1),7046(a,1,1))]. 10987 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(255,a,7046,a(flip),b,10986,a(flip))]. 10988 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(10987(a,1),10467(a,1,1))]. 10989 L(K(x,x * y),y,z) = K(x,x * y). [para(9107(a,1),10988(a,1,1))]. 10991 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(7521,a,10989,a)]. 10992 K(x,x * ((y * z) \ y)) = K(x,z \ x). [hyper(255,a,10510,a(flip),b,10989,a(flip))]. 10993 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(255,a,10457,a(flip),b,10989,a(flip)),flip(a)]. 10995 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(10989(a,2),5394(a,1,2))]. 10999 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(10849,a,10993,a)]. 11001 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(255,a,7701,a(flip),b,10993,a(flip)),flip(a)]. 11002 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1423(a,1),10993(a,1,2))]. 11003 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(10993(a,1),7046(a,1,1))]. 11009 L(K(x * y,x),y,z) = K(x * y,x). [hyper(6485,a,10995,a)]. 11010 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(255,a,10392,a(flip),b,11009,a(flip)),flip(a)]. 11011 L(K(x * y,y),x,z) = K(y * x,y). [para(5894(a,2),11009(a,1,1))]. 11012 L(K(x * y,y),x,z) = K(x * y,y). [hyper(255,a,5894,a,b,11011,a)]. 11014 K(x \ (y * (x * z)),y) = K(z * y,y). [hyper(255,a,10398,a(flip),b,11012,a(flip)),flip(a)]. 11015 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(10854,a,11010,a)]. 11016 K((x / y) \ z,y) = K(y * (x \ z),y). [hyper(8695,a,11010,a)]. 11017 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(8685,a,11010,a)]. 11018 K(x * ((y * x) \ z),x) = K(y \ z,x). [hyper(8684,a,11010,a),flip(a)]. 11019 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(8039,a,11010,a)]. 11021 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(255,a,7846,a(flip),b,11010,a(flip))]. 11022 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(11010(a,1),5991(a,1,1,1,2))]. 11024 K(x,y \ z) * K(x * (y \ z),x) = a(x,(z \ y) \ 1,x). [para(11010(a,1),9157(a,1,2))]. 11026 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(10991(a,1),5252(a,2,2))]. 11027 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(11015(a,1),5992(a,1,1,1,2))]. 11028 T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). [hyper(255,a,5252,a,b,11026,a)]. 11029 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(255,a,10739,a(flip),b,11028,a(flip)),flip(a)]. 11030 T(x,y \ (z * x)) = T(x,x * (y \ z)). [hyper(255,a,8085,a,b,11029,a(flip)),flip(a)]. 11031 T(x,x * (y \ z)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(11030(a,1),7109(a,1,1))]. 11032 a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. [para(11024(a,1),9180(a,1))]. 11033 L(x,(y \ z) \ 1,x) = L(x,z \ y,x). [hyper(255,a,5707,a(flip),b,11031,a(flip))]. 11034 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(255,a,7046,a(flip),b,11003,a(flip))]. 11035 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(9923,a,11034,a)]. 11036 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(255,a,10837,a(flip),b,11035,a(flip))]. 11037 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(255,a,5991,a(flip),b,11022,a(flip))]. 11038 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(255,a,7041,a,b,11037,a(flip)),flip(a)]. 11039 K(x \ (y * z),T(x,u)) = K(y * (x \ z),T(x,u)). [hyper(255,a,10581,a(flip),b,10867,a(flip))]. 11040 K(x * (y \ 1),T(y,z)) = K(y \ x,T(y,z)). [para(17(a,1),11039(a,1,1,2)),flip(a)]. 11041 K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * ((1 / (x \ y)) \ 1),T(1 / (x \ y),x)). [para(7868(a,1),11040(a,1,2)),flip(a)]. 11042 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(255,a,10973,a(flip),b,10887,a(flip)),flip(a)]. 11043 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(255,a,10968,a(flip),b,11042,a(flip)),flip(a)]. 11044 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(255,a,11017,a(flip),b,11043,a(flip)),flip(a)]. 11045 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [hyper(255,a,10126,a(flip),b,11044,a)]. 11046 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [hyper(8070,a,11045,a)]. 11047 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(255,a,10973,a(flip),b,10888,a(flip)),flip(a)]. 11048 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(255,a,10968,a(flip),b,11047,a(flip)),flip(a)]. 11049 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(255,a,6917,a(flip),b,11048,a(flip)),flip(a)]. 11050 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(8070,a,11049,a)]. 11051 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(255,a,9924,a(flip),b,11050,a)]. 11052 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(59(a,1),11051(a,2,1))]. 11053 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(255,a,11046,a(flip),b,11052,a(flip)),flip(a)]. 11054 K(x * y,L(y,z,u)) * K(L(y,z,u),L(y,z,u) \ (x * L(y,z,u))) = a(L(y,z,u),L(y,z,u) \ (x * L(y,z,u)),L(y,z,u)). [para(11052(a,1),9158(a,1,1))]. 11055 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [hyper(255,a,10126,a,b,11053,a(flip)),flip(a)]. 11056 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [hyper(255,a,9922,a,b,11053,a(flip)),flip(a)]. 11057 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [hyper(255,a,9097,a(flip),b,11053,a(flip))]. 11058 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(255,a,9924,a,b,11056,a(flip)),flip(a)]. 11059 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = a(x,x \ u,L(x,y,z)). [hyper(255,a,10970,a(flip),b,10980,a)]. 11060 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),T(u,x)). [para(37(a,2),10980(a,2,2,2))]. 11061 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(6797,a,11027,a),flip(a)]. 11063 (x \ y) * K((x \ 1) \ (x \ y),y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(19(a,1),9879(a,1,2,2,1))]. 11064 x \ T(y,((x \ 1) \ (x \ y)) \ z) = x \ T(y,y \ z). [hyper(6984,a,11063,a),flip(a)]. 11065 K(x,y \ T(z,z \ x)) = K(x,y \ z). [para(11064(a,1),9022(a,1,2))]. 11066 K(x,y \ ((z \ x) \ x)) = K(x,y \ z). [para(128(a,1),11065(a,1,2,2))]. 11067 K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [hyper(255,a,6605,a(flip),b,11066,a(flip))]. 11068 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(4505(a,1),10193(a,1,2))]. 11069 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(255,a,5986,a(flip),b,11068,a)]. 11070 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(7432(a,1),11069(a,1,1,1,1))]. 11071 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(6457(a,1),11070(a,1,1))]. 11073 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(9612(a,1),11071(a,1,1))]. 11074 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(23,a,10801,a,b,10729,a),flip(a)]. 11075 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2815(a,1),11074(a,1,2,2))]. 11076 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(255,a,8154,a,b,11075,a)]. 11077 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(11075(a,1),8140(a,1,2)),flip(a)]. 11078 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(472(a,1),11076(a,1,2,2))]. 11080 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(5798(a,1),11078(a,1,2)),flip(a)]. 11083 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(8561,a,11080,a)]. 11084 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(8183,a,11080,a)]. 11085 K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). [para(7523(a,1),11080(a,1,2)),flip(a)]. 11087 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(21(a,1),11083(a,2,2,2))]. 11089 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(8136,a,11087,a)]. 11090 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(255,a,8463,a(flip),b,11089,a(flip)),flip(a)]. 11092 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(11090(a,1),9851(a,1,1))]. 11093 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(11090(a,1),10150(a,1,1))]. 11094 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(8154(a,1),11093(a,1,1))]. 11096 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(255,a,9314,a(flip),b,11094,a(flip)),flip(a)]. 11097 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(70(a,1),11096(a,1,2,2,2))]. 11098 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(8180,a,11092,a)]. 11099 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(70(a,1),11092(a,1,2)),flip(a)]. 11101 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(8099(a,1),11098(a,1,1))]. 11102 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(8138(a,1),11099(a,2,1))]. 11103 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(9853,a,11101,a)]. 11104 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [para(11102(a,1),73(a,1,1))]. 11105 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(255,a,5345,a,b,11104,a(flip)),flip(a)]. 11106 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(39,a,11105,a)]. 11107 a(K(x * y,K(z,u)),x,y) = 1. [para(18(a,1),11106(a,1,3))]. 11108 a(K(K(x,y),z),u,u \ z) = 1. [para(6092(a,2),11106(a,1,1))]. 11109 a(K(x,K(y,z * u)),z,u) = 1. [para(8099(a,1),11107(a,1,1))]. 11110 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(255,a,8178,a,b,11108,a)]. 11111 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(255,a,8105,a(flip),b,11077,a)]. 11112 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(255,a,9631,a(flip),b,11111,a(flip)),flip(a)]. 11113 K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). [para(7542(a,1),11085(a,1,2))]. 11114 T(x,K(y,z * (x \ 1))) = T(x,K(y,x \ z)). [hyper(7565,a,11112,a)]. 11117 T(x,K(y,z * (x \ 1))) = T(x,K(y,z)). [hyper(255,a,8387,a(flip),b,11114,a)]. 11118 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [para(5798(a,1),11117(a,1,2))]. 11119 T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(11118(a,1),5407(a,1,1))]. 11126 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(11097(a,1),11110(a,2,2))]. 11131 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(8138(a,2),11126(a,2,2))]. 11132 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(6092(a,1),11131(a,1,1))]. 11133 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [hyper(255,a,6673,a(flip),b,10828,a)]. 11134 ((x * (K(y,z) * R(z,u,w))) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(6807(a,1),11133(a,1,1,1))]. 11135 R((x * (K(y,z) * z)) / (x * K(y,z)),u,w) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(2143(a,2),11134(a,1,1))]. 11136 R((x * (y * K(z,y))) / (x * K(z,y)),u,w) * x = (x * (K(z,y) * R(y,u,w))) * K(y,z). [para(3141(a,1),11135(a,1,1,1,1,2))]. 11137 R((x * y) / x,z,u) * x = (x * (K(w,y) * R(y,z,u))) * K(y,w). [para(9515(a,1),11136(a,1,1,1))]. 11138 (x * (K(y,z) * R(z,u,w))) * K(z,y) = x * R(z,u,w). [hyper(807,a,11137,a),flip(a)]. 11140 (x * (R(y,z,u) * K(w,y))) * K(y,w) = x * R(y,z,u). [para(3146(a,2),11138(a,1,1,2))]. 11141 L(K(x,y),R(x,z,u),w) = K(x,y). [hyper(7085,a,11140,a)]. 11142 K(x,(y \ 1) * R(x,z,u)) = K(x,y \ R(x,z,u)). [hyper(255,a,7018,a(flip),b,11141,a(flip)),flip(a)]. 11143 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [hyper(255,a,8053,a,b,11142,a(flip)),flip(a)]. 11154 (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(3936(a,1),4987(a,1,1,2))]. 11155 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,z,K(y,y \ 1) * u). [para(4955(a,2),5100(a,1,1,1,2))]. 11156 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(8138(a,1),6866(a,1,2,2))]. 11157 x \ (R(x,y,x) * T(x * (R(x,y,x) \ K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(1307(a,1),6891(a,1,2,2,1))]. 11158 L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(9284(a,1),7253(a,1,1))]. 11159 K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). [hyper(7305,a,11158,a),flip(a)]. 11160 K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2374(a,1),11159(a,1,2,1,2))]. 11161 K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). [hyper(255,a,10845,a(flip),b,11160,a(flip)),flip(a)]. 11162 K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). [hyper(255,a,7268,a(flip),b,11161,a(flip))]. 11163 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). [para(5988(a,1),11162(a,1,2,1)),flip(a)]. 11164 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,x * y)). [para(8154(a,1),10399(a,2,2))]. 11165 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [hyper(5934,a,10794,a)]. 11166 (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(3936(a,1),11154(a,1,2))]. 11167 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(4994(a,1),11155(a,1,1))]. 11168 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x * y,T(x,z)) \ 1,K(x * y,x),y). [para(7539(a,2),11156(a,2,1,1))]. 11169 x \ (R(x,y,x) * T(x * (T(x,y) \ 1),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(6389(a,1),11157(a,1,2,2,1,2))]. 11170 x \ (R(x,y,x) * T(K(y,x),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(5184(a,2),11169(a,1,2,2,1))]. 11171 x \ (R(x,y,x) * K(y,T(x,z))) = (x \ R(x,y,x)) * T(K(y,x),z). [para(7539(a,2),11170(a,1,2,2))]. 11172 (x \ R(x,y,x)) * T(K(y,x),z) = R(x,y,x) * (x \ K(y,T(x,z))). [hyper(1316,a,11171,a),flip(a)]. 11173 (x \ R(x,y,x)) * T(K(y,x),z) = T(x,T(y,z)) \ R(x,y,x). [hyper(255,a,7785,a(flip),b,11172,a)]. 11174 K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). [hyper(255,a,8942,a(flip),b,11173,a(flip)),flip(a)]. 11175 T(x,T(y,z)) \ R(x,y,x) = K(y * x,T(x,z)). [hyper(8691,a,11174,a),flip(a)]. 11176 K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). [hyper(255,a,9165,a(flip),b,11175,a(flip)),flip(a)]. 11177 K(x / y,z) * a(z,y \ x,z) = K((y \ x) * z,T(z,y)). [para(8254(a,1),11176(a,1,1))]. 11178 K(x * y,T(y,z)) \ (K(x,T(y,z)) * y) = L(y,x,y). [para(11176(a,1),9370(a,1,1))]. 11179 K(x * y,T(y,z)) \ (y * K(x,T(y,z))) = L(y,x,y). [para(7613(a,1),11178(a,1,2))]. 11180 K(x,T(y * x,z)) * (x * K(y,T(x,z))) = L(x,y,x). [hyper(7600,a,11179,a)]. 11181 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,y,x). [hyper(5634,a,11180,a)]. 11182 L(x,T(y \ 1,z) \ 1,x) = L(x,y,x). [hyper(255,a,10664,a(flip),b,11181,a(flip)),flip(a)]. 11184 L(x,T(y,z) \ 1,x) = L(x,y \ 1,x). [hyper(255,a,10659,a(flip),b,11182,a(flip)),flip(a)]. 11185 L(x,(y / z) \ 1,x) = L(x,(z \ y) \ 1,x). [para(129(a,1),11184(a,1,2,1)),flip(a)]. 11186 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [hyper(255,a,11033,a(flip),b,11185,a)]. 11187 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(19(a,2),11186(a,1,2))]. 11188 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,y)). [para(8131(a,1),11164(a,2,2))]. 11189 K(x \ (y * (x * z)),y) * K(x,K(y,z)) = L(K(y * z,T(y,x)),z,x). [para(8187(a,1),11188(a,1,1)),flip(a)]. 11190 K(x \ (y * (x * z)),y) * K(x,K(y,z)) = K((x / (x * z)) \ y,y). [hyper(255,a,10537,a(flip),b,11189,a)]. 11191 K((x / (x * y)) \ z,z) = K(y * z,z) * K(x,K(z,y)). [para(11014(a,1),11190(a,1,1)),flip(a)]. 11192 K((x / (x * y)) \ z,z) = K(z * y,z) * K(x,K(z,y)). [para(5894(a,1),11191(a,2,1))]. 11194 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(255,a,8191,a(flip),b,11192,a)]. 11195 K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). [para(19(a,1),11194(a,1,1,1,2)),flip(a)]. 11196 K((x \ y) * z,T(z,x)) = K((x / y) \ z,z). [hyper(255,a,6408,a,b,11195,a(flip)),flip(a)]. 11197 K(x / y,z) * a(z,y \ x,z) = K((y / x) \ z,z). [hyper(255,a,11177,a,b,11196,a(flip)),flip(a)]. 11198 K(x,y / z) * K((z / y) \ x,x) = a(x,z \ y,x). [hyper(5622,a,11197,a)]. 11199 T(x,(y / z) \ x) \ T(x,z / y) = a(x,y \ z,x). [hyper(255,a,5865,a,b,11198,a(flip)),flip(a)]. 11200 T(x,(y / z) \ x) \ T(x,(y / z) \ 1) = a(x,y \ z,x). [para(4661(a,2),11199(a,1,2))]. 11201 T(x,(y / z) \ x) \ T(x,x \ ((y / z) \ x)) = a(x,y \ z,x). [para(4409(a,2),11200(a,1,2))]. 11202 T(x,(y / z) \ x) \ ((x \ ((y / z) \ x)) \ ((y / z) \ x)) = a(x,y \ z,x). [hyper(255,a,381,a(flip),b,11201,a(flip)),flip(a)]. 11203 a(x,(y / z) \ 1,x) = a(x,y \ z,x). [hyper(255,a,9194,a(flip),b,11202,a(flip)),flip(a)]. 11204 a(x,(y * z) \ z,x) = a(x,y \ 1,x). [para(20(a,1),11203(a,1,2,1)),flip(a)]. 11206 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [hyper(8657,a,11165,a)]. 11207 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(4997,a,11166,a)]. 11208 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(29(a,2),11167(a,1,1,1))]. 11209 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [hyper(6675,a,11208,a)]. 11211 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(255,a,5100,a,b,11209,a(flip)),flip(a)]. 11214 a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). [para(4990(a,1),11209(a,1,3))]. 11216 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(2247(a,1),11211(a,1,1,1,2,2))]. 11217 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x,T(x * y,z)),K(x * y,x),y). [para(7575(a,1),11168(a,2,1))]. 11218 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). [hyper(255,a,9204,a(flip),b,11217,a)]. 11221 K(x,T(y / z,y) \ y) \ (K(x,z) * K(y,K(u,y * K(x,z)))) = K(y,T(y * K(x,z),u)). [para(7224(a,2),11218(a,1,1))]. 11222 K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). [para(7996(a,1),11221(a,1,2,2))]. 11223 K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). [para(17(a,1),11222(a,1,2))]. 11224 K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). [hyper(5623,a,11223,a)]. 11225 K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). [para(7225(a,1),11224(a,1,1))]. 11226 K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). [hyper(255,a,8028,a(flip),b,11225,a)]. 11227 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(255,a,7360,a(flip),b,11226,a(flip)),flip(a)]. 11228 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(11227(a,1),6171(a,1,1,1,2))]. 11229 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(5252(a,2),11228(a,1,1,1))]. 11230 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(6800,a,11229,a)]. 11231 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(11230(a,1),10755(a,1,1))]. 11232 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10853(a,1),11231(a,1,1,2,2))]. 11233 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(4994(a,1),11207(a,1,1))]. 11234 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(29(a,2),11233(a,1,1,1))]. 11235 a(x,K(y,y \ 1) * z,u) = a(x,z,u). [hyper(6675,a,11234,a)]. 11238 a(x,(y \ 1) \ 1,z) = a(x,y,z). [para(1456(a,1),11235(a,1,2))]. 11239 a(x,y * K(z,z \ 1),u) = a(x,y,u). [para(2247(a,1),11235(a,1,2))]. 11240 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5557(a,1),5597(a,1,1))]. 11241 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(11240(a,1),9537(a,1,2,2))]. 11242 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1). [para(9765(a,1),6368(a,1,1))]. 11243 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u). [para(6366(a,1),11242(a,2,2))]. 11244 R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). [para(7910(a,1),11243(a,1,1,1))]. 11245 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [para(11244(a,1),70(a,1,2))]. 11247 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [hyper(255,a,9767,a(flip),b,11245,a(flip)),flip(a)]. 11248 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(6418(a,1),11247(a,1,1))]. 11249 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7539(a,2),11248(a,2,1))]. 11250 ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). [para(8598(a,1),11249(a,2,1))]. 11251 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(255,a,4907,a(flip),b,7179,a)]. 11252 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(255,a,1438,a(flip),b,11251,a)]. 11253 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(1439(a,1),11252(a,1,2))]. 11254 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(80,a,5144,a(flip),b,11253,a)]. 11255 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). [hyper(255,a,7628,a(flip),b,7232,a)]. 11256 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(279(a,1),11255(a,2,1,2))]. 11257 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1840(a,1),11256(a,1,2)),flip(a)]. 11258 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(255,a,7051,a(flip),b,11257,a(flip)),flip(a)]. 11259 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(255,a,7032,a(flip),b,11257,a(flip))]. 11260 (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(5220(a,1),9036(a,1,1))]. 11261 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(636,a,11260,a),flip(a)]. 11262 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(11260(a,1),636(a,1))]. 11263 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5536(a,1),11261(a,1,2)),flip(a)]. 11264 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(5600(a,1),9201(a,1,1,1))]. 11265 (K(x,T(y,z)) * K(y,T(u,z))) \ 1 = (K(y,u) * K(x,y)) \ K(K(y,u) * K(x,y),z * K(u,y)). [para(10299(a,1),9209(a,1,1))]. 11266 x / T((K(y,z) * K(u,y)) * x,K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. [para(16(a,1),9216(a,1,2,1,1))]. 11267 x / T(K(y,z) * (K(u,y) * x),K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. [para(10270(a,1),11266(a,1,2,1))]. 11268 T(x,L(T(T(y * z,z) / y,y * K(z,y * z)),u,w)) = T(x,L((y * z) / y,u,w)). [para(10833(a,1),9889(a,1,2,1,2))]. 11269 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(21(a,1),9966(a,2,1))]. 11270 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [hyper(255,a,6741,a(flip),b,11269,a),flip(a)]. 11279 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). [para(10289(a,1),10291(a,2,2,1,1))]. 11280 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5381(a,1),11279(a,2,2,1))]. 11282 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5381(a,1),11280(a,1,1,2,1))]. 11283 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(255,a,5620,a(flip),b,11282,a(flip)),flip(a)]. 11284 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). [para(11282(a,1),453(a,1,1,1)),flip(a)]. 11285 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). [para(11282(a,2),10198(a,1,1))]. 11287 R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(8100(a,1),11285(a,1,1,1,2,1))]. 11288 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(73(a,1),10633(a,2,2,2,1,1,2))]. 11289 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(73(a,1),11288(a,1,2))]. 11290 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(11289(a,1),10323(a,1,1))]. 11291 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(255,a,7193,a(flip),b,11290,a(flip)),flip(a)]. 11292 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(10784,a,11291,a),flip(a)]. 11293 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(127(a,1),11291(a,1,2,2)),flip(a)]. 11294 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(10171,a,11292,a),flip(a)]. 11295 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(255,a,9243,a(flip),b,11292,a(flip)),flip(a)]. 11296 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(11295(a,1),5252(a,2,2)),flip(a)]. 11297 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(19(a,1),11294(a,1,2,2,2)),flip(a)]. 11298 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(35(a,2),11297(a,2,2))]. 11300 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(10163,a,11298,a)]. 11301 K(x,R(y,x,z)) = K(x,y). [hyper(255,a,10914,a(flip),b,11298,a(flip))]. 11303 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(255,a,9615,a,b,11301,a(flip)),flip(a)]. 11304 K(R(x,y,z),y) = K(x,y). [hyper(255,a,9493,a,b,11301,a(flip)),flip(a)]. 11305 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(255,a,9861,a(flip),b,11301,a(flip)),flip(a)]. 11306 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(255,a,6377,a(flip),b,11301,a(flip)),flip(a)]. 11307 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(51(a,1),11301(a,1,2))]. 11310 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(255,a,11304,a,b,11304,a)]. 11315 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(11310(a,1),9496(a,1,2)),flip(a)]. 11317 K(x / (y * z),y) = K(y \ (x / z),y). [hyper(6509,a,11306,a)]. 11318 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(10784,a,11305,a)]. 11320 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(255,a,8722,a,b,11305,a(flip)),flip(a)]. 11321 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [hyper(255,a,11291,a(flip),b,11305,a(flip)),flip(a)]. 11322 T(x,R(y,x,z)) = T(x,y). [hyper(255,a,7445,a(flip),b,11315,a)]. 11324 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(481(a,1),11322(a,1,2))]. 11325 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(255,a,8881,a,b,11317,a(flip)),flip(a)]. 11326 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(11318(a,1),11296(a,1,2))]. 11327 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(18(a,1),11320(a,1,2,1)),flip(a)]. 11328 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(11325(a,1),7626(a,1,1))]. 11330 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(255,a,6384,a,b,11307,a(flip)),flip(a)]. 11331 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(11300(a,1),462(a,1,1))]. 11333 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(255,a,9244,a(flip),b,11321,a(flip))]. 11334 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7651,a,11328,a)]. 11335 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(255,a,9474,a(flip),b,11334,a(flip)),flip(a)]. 11336 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(11335(a,1),6670(a,1,1,2)),flip(a)]. 11337 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(255,a,11327,a(flip),b,11333,a(flip))]. 11338 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(11337(a,1),6392(a,1))]. 11339 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(5255,a,11326,a),flip(a)]. 11340 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(255,a,6670,a(flip),b,11336,a)]. 11341 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(7899,a,11340,a)]. 11342 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(70(a,1),11341(a,1,2,1,2)),flip(a)]. 11343 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(255,a,8662,a,b,11342,a(flip)),flip(a)]. 11344 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(11301(a,1),11330(a,1,1))]. 11346 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(255,a,7132,a(flip),b,11331,a(flip))]. 11347 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(5340(a,1),11346(a,2,1))]. 11348 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(255,a,9300,a(flip),b,11347,a(flip)),flip(a)]. 11350 L(x,K(y,z),z * y) = x. [hyper(749,a,11348,a)]. 11354 L(x,y * z,K(z,y)) = x. [hyper(10957,a,11350,a)]. 11357 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(255,a,10305,a(flip),b,11354,a(flip)),flip(a)]. 11358 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(255,a,7263,a(flip),b,11354,a(flip))]. 11366 L(x,y,T(z,y)) = L(x,y,z). [para(5266(a,1),11357(a,1,3)),flip(a)]. 11368 L(x,y \ z,(y \ z) \ z) = L(x,y \ z,y). [hyper(255,a,1978,a(flip),b,11366,a(flip)),flip(a)]. 11372 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [para(11358(a,2),70(a,1,2))]. 11374 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(255,a,47,a,b,11324,a(flip)),flip(a)]. 11375 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4887(a,1),11343(a,2,2))]. 11376 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(255,a,4463,a(flip),b,11374,a)]. 11377 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(255,a,8873,a(flip),b,11375,a)]. 11378 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(255,a,8535,a(flip),b,11377,a)]. 11379 K(x,x \ T(y,z)) = K(x,T(x \ y,z)). [hyper(255,a,10911,a(flip),b,11378,a(flip)),flip(a)]. 11381 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(255,a,10637,a,b,11379,a(flip)),flip(a)]. 11383 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(11381(a,1),5263(a,2,1)),flip(a)]. 11384 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(255,a,9596,a(flip),b,11383,a(flip))]. 11385 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(11384(a,2),6082(a,1,2))]. 11386 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(225,a,11385,a)]. 11387 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(11386(a,1),10549(a,1,1))]. 11388 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(11387(a,1),11270(a,1,1)),flip(a)]. 11389 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [hyper(255,a,9425,a(flip),b,11388,a)]. 11390 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [hyper(255,a,5433,a(flip),b,11389,a(flip))]. 11391 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(20(a,1),11390(a,2,1))]. 11392 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(37(a,2),11391(a,1,3))]. 11393 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(11392(a,1),5350(a,1,2))]. 11394 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [hyper(255,a,9964,a(flip),b,11393,a(flip))]. 11395 (K(x * y,z) * y) * T(x,y) != x * u | y * K(x * y,z) = u. [para(11394(a,2),24(a,1))]. 11396 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(255,a,47,a,b,11376,a)]. 11397 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(11339(a,1),11396(a,1,1))]. 11398 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(20(a,1),11397(a,1,1,2,2)),flip(a)]. 11399 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(6165,a,11398,a),flip(a)]. 11400 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(11398(a,1),5674(a,1,2,1))]. 11401 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(255,a,1069,a(flip),b,11399,a(flip)),flip(a)]. 11402 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(18(a,1),11399(a,1,1,2)),flip(a)]. 11403 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(564(a,1),11399(a,1,1)),flip(a)]. 11407 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5995(a,1),11401(a,2,1))]. 11409 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(11403(a,1),7271(a,1,2,1)),flip(a)]. 11410 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1306(a,1),11402(a,1,1)),flip(a)]. 11411 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(255,a,179,a(flip),b,11410,a)]. 11412 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(47(a,2),11411(a,2,1))]. 11413 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(255,a,545,a(flip),b,11412,a)]. 11414 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(11413(a,1),5196(a,1,1))]. 11415 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(5486,a,11414,a),flip(a)]. 11416 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(8070,a,11415,a)]. 11417 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(255,a,10136,a,b,11416,a)]. 11418 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(6459,a,11400,a),flip(a)]. 11421 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(11418(a,1),5169(a,1,1,2))]. 11422 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(255,a,7542,a(flip),b,11293,a)]. 11423 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(255,a,7155,a(flip),b,11407,a)]. 11424 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(7153(a,1),11423(a,1,1)),flip(a)]. 11425 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(11424(a,1),10073(a,1,2))]. 11426 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5986(a,1),11421(a,1,1))]. 11427 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(255,a,47,a,b,11426,a(flip)),flip(a)]. 11428 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(5169(a,1),11427(a,1,1)),flip(a)]. 11429 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(255,a,49,a(flip),b,11428,a)]. 11430 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(11429(a,1),1373(a,1,1,1)),flip(a)]. 11431 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(255,a,7935,a(flip),b,11422,a)]. 11432 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(7899,a,11431,a)]. 11433 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(255,a,10839,a(flip),b,11432,a(flip)),flip(a)]. 11435 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(255,a,9460,a(flip),b,11433,a(flip)),flip(a)]. 11436 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(255,a,8932,a(flip),b,11435,a(flip))]. 11446 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(60(a,1),11436(a,1,2,2))]. 11463 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(255,a,10979,a(flip),b,10947,a(flip)),flip(a)]. 11464 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(255,a,10969,a(flip),b,11463,a(flip)),flip(a)]. 11465 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(255,a,10999,a(flip),b,11464,a(flip)),flip(a)]. 11466 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(17(a,1),11465(a,1,2,2,1))]. 11467 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(255,a,6042,a(flip),b,11466,a)]. 11468 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(255,a,11061,a(flip),b,11467,a)]. 11469 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(17(a,1),11468(a,2,2,2,1))]. 11470 K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * (x \ y),T(1 / (x \ y),x)). [para(73(a,1),11041(a,2,1,2))]. 11471 K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * (x \ y),x / y). [hyper(255,a,8411,a(flip),b,11470,a)]. 11473 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(7587(a,1),11060(a,2,2))]. 11474 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (y \ 1))) \ u). [hyper(255,a,6043,a(flip),b,11163,a)]. 11475 (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). [para(4722(a,1),11250(a,1,1))]. 11476 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2532(a,1),11264(a,1,1,2)),flip(a)]. 11477 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(6687(a,1),11476(a,2,1))]. 11478 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(255,a,9257,a,b,11477,a)]. 11479 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2535(a,1),11478(a,1,1,1))]. 11480 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5600(a,1),11479(a,1,1))]. 11481 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(255,a,10315,a(flip),b,11480,a(flip))]. 11482 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(8195(a,1),11481(a,1,1)),flip(a)]. 11483 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(T(y,u),x) * 1). [hyper(255,a,10293,a(flip),b,11265,a(flip))]. 11484 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(4710(a,1),11425(a,1,2,1)),flip(a)]. 11485 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(70(a,1),11474(a,2,2,1,2))]. 11486 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(6580(a,1),11485(a,1,2,1,1,2,1))]. 11487 K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). [hyper(255,a,10855,a(flip),b,11486,a(flip))]. 11488 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). [para(8235(a,1),11475(a,1,1,2))]. 11489 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(9013,a,11488,a),flip(a)]. 11490 R(K(x,y),L(y,z,u),w) = K(x,y). [para(9050(a,1),11489(a,1,1))]. 11491 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(255,a,7214,a(flip),b,11490,a(flip)),flip(a)]. 11493 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(255,a,6864,a(flip),b,11491,a)]. 11494 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(255,a,10800,a,b,11493,a(flip)),flip(a)]. 11495 K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. [para(11494(a,1),8566(a,1))]. 11496 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(y,T(x,u)) * 1). [para(7542(a,1),11483(a,2,2,1))]. 11497 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * K(y,T(x,u)). [para(17(a,1),11496(a,2,2))]. 11498 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (K(x,x \ y) * T(y,z)). [para(5221(a,1),6968(a,2,2))]. 11499 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = K(y,z). [hyper(255,a,6627,a(flip),b,11498,a)]. 11501 L(K((x \ 1) \ (x \ y),z),y / x,x) = K(y,z). [hyper(255,a,4782,a(flip),b,11499,a(flip)),flip(a)]. 11502 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(6798,a,8964,a),flip(a)]. 11503 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). [para(5428(a,1),11502(a,1,2)),flip(a)]. 11504 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(1943(a,2),9178(a,1,2,2))]. 11505 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(20(a,1),10110(a,1,1,1)),flip(a)]. 11507 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(10296(a,1),11505(a,1,2,1)),flip(a)]. 11509 ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(11507(a,1),6199(a,1,2,2))]. 11510 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(5564(a,1),11509(a,1,2)),flip(a)]. 11511 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(255,a,5551,a(flip),b,11510,a)]. 11513 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(255,a,5608,a(flip),b,11511,a)]. 11515 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(6198(a,1),11513(a,1,2))]. 11517 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). [hyper(255,a,1373,a(flip),b,11430,a)]. 11518 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(47(a,2),11517(a,2,3))]. 11519 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(112(a,1),11504(a,1,2)),flip(a)]. 11520 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3862(a,2),4042(a,1,1))]. 11528 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1150(a,1),6291(a,2,1))]. 11529 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(255,a,11528,a(flip),b,6292,a(flip))]. 11530 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1150(a,1),11529(a,1,1)),flip(a)]. 11531 K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). [para(11530(a,1),11103(a,1,1,1,1))]. 11532 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5563(a,2),11531(a,1,1))]. 11533 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(8342,a,11532,a)]. 11534 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(255,a,11084,a(flip),b,11533,a(flip)),flip(a)]. 11535 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(21(a,1),11534(a,1,2,2)),flip(a)]. 11536 K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. [para(11535(a,1),8122(a,1))]. 11543 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(255,a,10174,a(flip),b,7383,a(flip))]. 11545 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(x,y) * (K(z,x) * u)) / (1 * (K(x,y) * K(z,x)))). [para(16(a,2),10276(a,2,2,2))]. 11546 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). [hyper(255,a,11001,a(flip),b,10789,a(flip))]. 11547 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). [hyper(255,a,11469,a(flip),b,11546,a)]. 11548 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(255,a,11036,a(flip),b,11547,a)]. 11550 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2663(a,1),11548(a,1,2))]. 11551 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(11550(a,1),6670(a,1,1,2)),flip(a)]. 11552 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(255,a,6670,a(flip),b,11551,a)]. 11553 T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11552(a,1),6916(a,1,1,2))]. 11554 T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11038(a,1),11553(a,1,1,2))]. 11555 T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(59(a,1),11554(a,1,1,2,1,2))]. 11556 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5984(a,1),11555(a,1,1))]. 11557 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(255,a,45,a,b,11556,a(flip)),flip(a)]. 11558 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5820(a,1),11557(a,1,1)),flip(a)]. 11559 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4626,a,11558,a)]. 11560 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(11559(a,1),428(a,1,2))]. 11561 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(11559(a,1),7483(a,1,2))]. 11562 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10768(a,1),11561(a,1))]. 11563 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(415,a,11560,a),flip(a)]. 11564 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(317,a,11563,a),flip(a)]. 11566 (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(11563(a,1),10631(a,1,1,2))]. 11567 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(255,a,5430,a,b,11564,a),flip(a)]. 11570 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). [para(11564(a,1),10234(a,1,2,2)),flip(a)]. 11571 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). [para(11417(a,1),11567(a,1,1,2))]. 11572 K(x * L(y,z,u),y) = K(y * x,y). [hyper(255,a,7676,a(flip),b,11570,a)]. 11574 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [hyper(255,a,9167,a,b,11572,a)]. 11575 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(255,a,11258,a(flip),b,11572,a(flip)),flip(a)]. 11576 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(255,a,8057,a(flip),b,11572,a(flip))]. 11578 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(255,a,11021,a(flip),b,11576,a(flip)),flip(a)]. 11579 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(8567,a,11578,a)]. 11581 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(255,a,5734,a(flip),b,11575,a)]. 11582 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(11495,a,11581,a)]. 11583 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(255,a,11259,a(flip),b,11581,a(flip)),flip(a)]. 11584 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(11581(a,1),9881(a,1,1,2))]. 11585 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(10250,a,11574,a)]. 11586 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(11585(a,2),10064(a,2,2))]. 11589 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(255,a,11019,a(flip),b,11583,a)]. 11590 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,v5,v6)). [para(11564(a,2),11586(a,1,2))]. 11591 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(112(a,1),11589(a,1,1,2))]. 11592 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(8697,a,11591,a)]. 11593 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [hyper(255,a,8909,a(flip),b,11591,a(flip)),flip(a)]. 11594 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [hyper(255,a,11057,a,b,11593,a(flip)),flip(a)]. 11596 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(255,a,11018,a(flip),b,11592,a)]. 11597 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(255,a,10001,a(flip),b,11596,a(flip)),flip(a)]. 11598 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(33(a,2),11597(a,2,1))]. 11599 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(11562,a,11598,a),flip(a)]. 11600 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(10942,a,11599,a)]. 11603 K(x,(y * ((y \ z) / u)) \ z) = K(x,L(u,y \ z,y)). [hyper(7306,a,11600,a)]. 11604 K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). [hyper(255,a,5381,a,b,11600,a),flip(a)]. 11605 K((x \ 1) \ (x \ y),L(z,y / x,x)) = K(y,z). [hyper(255,a,11501,a(flip),b,11600,a(flip))]. 11606 K(x,L(y,K(z,u),u * z)) = K(x,y). [hyper(255,a,11350,a(flip),b,11600,a(flip))]. 11607 K(x \ y,L(z,y,y \ 1)) = K(((y \ 1) * x) \ 1,z). [hyper(255,a,7031,a(flip),b,11600,a(flip))]. 11611 K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11600(a,1),1434(a,1,2,1))]. 11614 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). [para(11600(a,1),9938(a,1,2))]. 11615 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(11600(a,1),9941(a,1,2))]. 11616 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(11600(a,1),9943(a,1,1))]. 11617 K(x,L(y,z,u)) * a(u,z,K(x,y)) = K(x,y). [para(11600(a,1),9953(a,1,1))]. 11618 ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). [para(11600(a,1),9947(a,1,2))]. 11621 K(x,L(y,T(z,u),u)) = K(x,L(y,z,u)). [para(10958(a,1),11606(a,1,2))]. 11622 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(11604(a,1),5384(a,1))]. 11624 K(x,L(y,z / u,u)) = K(x,L(y,u \ z,u)). [para(129(a,1),11621(a,1,2,2)),flip(a)]. 11626 K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. [para(7006(a,2),11622(a,1))]. 11630 K(L(x,y,z),u) * a(z,y,K(x,u)) = K(x,u). [para(11614(a,1),5626(a,1,2))]. 11631 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(11614(a,1),5545(a,1,2)),flip(a)]. 11633 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [hyper(6674,a,11615,a)]. 11637 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(23,a,11617,a,b,11630,a)]. 11641 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(437(a,1),11637(a,1,1)),flip(a)]. 11642 (x / y) * K(z,L(y,u,w)) = x / T(y,L(z,u,w)). [para(11637(a,1),6718(a,1,2))]. 11644 K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). [para(11637(a,1),9956(a,1,1))]. 11647 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(255,a,9949,a(flip),b,11633,a(flip)),flip(a)]. 11649 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(11647(a,1),10089(a,2,2))]. 11656 K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). [para(437(a,1),11641(a,1,2))]. 11658 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(23,a,11616,a,b,11644,a),flip(a)]. 11659 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(19(a,1),11658(a,1,2,2))]. 11660 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(10941(a,1),11659(a,2,2))]. 11661 K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). [para(19(a,1),11656(a,1,2)),flip(a)]. 11662 K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). [para(19(a,1),11661(a,1,1)),flip(a)]. 11663 K(x,(y \ 1) \ (y \ L(z,x / y,y))) = K(x,z). [hyper(255,a,11605,a(flip),b,11662,a(flip))]. 11664 K(x,L((y \ 1) \ (y \ z),x / y,y)) = K(x,z). [para(1871(a,2),11663(a,1,2))]. 11665 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K(x,z). [hyper(255,a,11624,a(flip),b,11664,a(flip)),flip(a)]. 11666 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(255,a,9791,a(flip),b,11603,a(flip))]. 11667 K(x,(y \ 1) \ (y \ L(z,y \ x,(y \ x) \ 1))) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(255,a,11662,a(flip),b,11607,a(flip)),flip(a)]. 11672 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [hyper(255,a,11642,a(flip),b,11618,a(flip)),flip(a)]. 11673 (x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(4669(a,1),11672(a,1,1))]. 11674 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(11649(a,1),9722(a,2,2))]. 11677 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(255,a,11058,a(flip),b,11666,a(flip)),flip(a)]. 11680 L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). [hyper(255,a,10076,a(flip),b,11566,a(flip)),flip(a)]. 11683 a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). [para(21(a,1),11680(a,1,2)),flip(a)]. 11684 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(6129(a,1),11584(a,1,1,2)),flip(a)]. 11685 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(255,a,6663,a(flip),b,11684,a)]. 11686 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1419(a,1),11685(a,1,1))]. 11687 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(11686(a,1),10119(a,2,2))]. 11688 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(255,a,6712,a(flip),b,11687,a)]. 11689 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5986(a,1),11571(a,1,1))]. 11690 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5894(a,1),11689(a,1,1,1,2))]. 11691 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(255,a,47,a,b,11690,a(flip)),flip(a)]. 11692 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5820(a,1),11691(a,1,1)),flip(a)]. 11693 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(255,a,11564,a(flip),b,11692,a(flip)),flip(a)]. 11694 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(11692(a,1),11590(a,1,2))]. 11695 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(11693(a,1),461(a,1,1)),flip(a)]. 11696 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(255,a,122,a(flip),b,11695,a)]. 11697 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10543(a,1),11696(a,1,1,1)),flip(a)]. 11698 K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(5600(a,1),11611(a,1,2))]. 11699 K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11637(a,1),11698(a,1,2,1))]. 11700 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(5272(a,1),11699(a,1,2))]. 11701 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(11631(a,1),11700(a,1,2)),flip(a)]. 11702 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [hyper(255,a,11055,a(flip),b,11660,a(flip))]. 11703 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(11688(a,1),11674(a,1,2))]. 11704 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(255,a,7844,a(flip),b,11703,a(flip))]. 11705 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [para(11637(a,1),11704(a,2,1))]. 11706 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(255,a,11616,a(flip),b,11705,a)]. 11707 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(222,a,11706,a),flip(a)]. 11709 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(18(a,1),11707(a,1,3,1)),flip(a)]. 11710 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(5375(a,1),11707(a,1,3)),flip(a)]. 11711 a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). [para(5377(a,1),11707(a,1,3)),flip(a)]. 11712 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). [para(6009(a,1),11707(a,1,3))]. 11713 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(11709(a,2),10207(a,1,1))]. 11714 a(x,y,K(x * z,z)) = 1. [hyper(255,a,7426,a(flip),b,11710,a)]. 11715 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). [para(11710(a,1),11701(a,2,2,2))]. 11716 L(K(x * y,y),z,x) = K(x * y,y). [hyper(38,a,11714,a)]. 11717 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(11716(a,1),7561(a,2,1))]. 11718 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(10209,a,11713,a)]. 11719 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(19(a,1),11718(a,1,3,2)),flip(a)]. 11720 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [hyper(255,a,11711,a,b,11719,a(flip)),flip(a)]. 11721 a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). [para(5584(a,1),11720(a,1,3)),flip(a)]. 11722 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(255,a,11712,a,b,11721,a(flip)),flip(a)]. 11723 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(6707(a,1),11722(a,1,3))]. 11724 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(8654(a,1),11717(a,1,2,2))]. 11725 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [para(7559(a,1),11724(a,1,2)),flip(a)]. 11726 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(255,a,9810,a(flip),b,11725,a(flip))]. 11727 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(9808(a,1),11726(a,1,2)),flip(a)]. 11728 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(310,a,11727,a),flip(a)]. 11729 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [hyper(255,a,11594,a(flip),b,11702,a)]. 11730 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [hyper(11626,a,11729,a)]. 11731 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [hyper(255,a,11055,a(flip),b,11730,a(flip)),flip(a)]. 11732 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [hyper(255,a,11677,a(flip),b,11731,a(flip)),flip(a)]. 11733 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(37(a,2),11732(a,2,1,2))]. 11734 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(255,a,11016,a(flip),b,11733,a(flip)),flip(a)]. 11735 K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). [para(11734(a,1),5605(a,1,2,1)),flip(a)]. 11736 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11734(a,1),11231(a,1,1,2,2))]. 11737 K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). [hyper(255,a,5605,a(flip),b,11735,a)]. 11738 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(255,a,5554,a(flip),b,11715,a)]. 11739 K(x,L((y \ 1) \ (y \ z),y \ x,(y \ x) \ 1)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [para(1871(a,2),11667(a,1,2))]. 11740 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11737(a,1),11736(a,1,2,1,1))]. 11741 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(255,a,11231,a(flip),b,11740,a(flip))]. 11742 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R(R(1 / y,y,x) \ 1,z,u). [para(4543(a,1),4562(a,2,2,1,1))]. 11743 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R((1 / y) * R((1 / y) \ 1,z,u),y,x). [hyper(255,a,3802,a(flip),b,11742,a)]. 11744 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(1172(a,1),11743(a,2,1))]. 11745 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(4449(a,1),11744(a,1,1,2,1))]. 11746 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(4469(a,1),11745(a,1,1))]. 11747 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(7477(a,1),11746(a,1,1)),flip(a)]. 11748 R(x \ R(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). [para(4036(a,1),11747(a,1,1))]. 11749 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(9153(a,1),11748(a,1,1)),flip(a)]. 11750 R(a(x,y,x),x,z) = a(x,y,x). [hyper(10068,a,11749,a),flip(a)]. 11752 ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(255,a,458,a,b,11750,a(flip)),flip(a)]. 11753 (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(9161(a,1),11752(a,1,1,1))]. 11754 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(461(a,1),11753(a,1,1))]. 11755 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(11696(a,1),11754(a,1,1))]. 11756 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(11755(a,1),10083(a,1))]. 11757 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). [para(5911(a,1),5650(a,1,1,2,1)),flip(a)]. 11758 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). [para(5381(a,1),11757(a,2,1,2))]. 11760 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). [para(6672(a,1),11758(a,2,1))]. 11761 T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). [hyper(96,a,11760,a)]. 11762 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). [para(11761(a,1),3407(a,1,1,1)),flip(a)]. 11763 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(6343(a,1),11762(a,2,1))]. 11764 T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(6125(a,1),11763(a,1,2,2))]. 11765 T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(8492(a,1),11764(a,1,2))]. 11766 ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). [para(8523(a,1),11765(a,1,2)),flip(a)]. 11767 ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). [hyper(255,a,8633,a(flip),b,11766,a)]. 11769 K((T(x,y) \ ((x \ 1) \ K(z,x))) \ 1,((x \ K(x,z)) * T(x,y)) \ 1) = K(((x \ 1) \ K(z,x)) \ T(x,y),T(x,y) \ ((x \ 1) \ K(z,x))). [para(11767(a,1),6598(a,1,2,1))]. 11770 (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11767(a,2),7103(a,1,2,1))]. 11771 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (K(y,x) * (x \ 1)) * z. [para(6540(a,1),6438(a,2,1,1))]. 11772 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (T(x,y) \ 1) * z. [para(5209(a,1),11771(a,2,1))]. 11774 (x \ 1) * (R(K(y,x),x \ 1,z) * z) = (T(x,y) \ 1) * z. [para(6437(a,1),11772(a,1,2,1))]. 11775 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(10531(a,1),11774(a,1,2,1))]. 11776 T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). [para(11775(a,1),6543(a,1,2))]. 11778 L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). [hyper(255,a,4739,a(flip),b,11776,a(flip)),flip(a)]. 11780 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). [hyper(255,a,4806,a(flip),b,11778,a(flip)),flip(a)]. 11784 K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [para(11780(a,1),11067(a,1,2,1))]. 11785 K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(255,a,6605,a(flip),b,11784,a(flip))]. 11787 K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(255,a,11487,a(flip),b,11785,a(flip)),flip(a)]. 11788 K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). [hyper(255,a,11446,a(flip),b,11787,a(flip))]. 11789 K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). [hyper(255,a,7073,a(flip),b,11788,a(flip))]. 11790 L(K(x,y),z,z \ 1) = L(K(x,y),z,z \ x). [hyper(9588,a,11789,a),flip(a)]. 11791 L(K(x,y),z,z \ x) = K(x,L(y,z,z \ 1)). [hyper(11622,a,11790,a),flip(a)]. 11792 K(x,L(y,z,z \ 1)) = K(x,L(y,z,z \ x)). [hyper(11622,a,11791,a),flip(a)]. 11793 K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)). [para(11368(a,1),11792(a,2,2))]. 11794 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(255,a,11739,a(flip),b,11793,a(flip))]. 11795 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [hyper(255,a,11665,a(flip),b,11794,a(flip))]. 11798 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [hyper(255,a,5768,a(flip),b,11795,a(flip)),flip(a)]. 11801 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(11798(a,1),7361(a,2,1))]. 11802 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(255,a,5190,a(flip),b,11801,a)]. 11804 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(10485(a,1),11802(a,2,2))]. 11805 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(7058(a,1),11804(a,1,1))]. 11806 (L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4861(a,1),7352(a,1,2))]. 11807 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(5141(a,1),11806(a,1,2))]. 11808 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(255,a,11254,a(flip),b,11807,a(flip))]. 11810 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(162(a,1),11808(a,1,2,2,1))]. 11811 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(11810(a,1),4311(a,1,2))]. 11812 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(11811(a,1),8093(a,2,1))]. 11813 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(L(T(x,K(z,u)),K(z,u),K(y,z)),K(y,z)). [para(179(a,1),8732(a,1,1)),flip(a)]. 11814 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)). [para(10278(a,1),11813(a,2,1))]. 11815 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)). [hyper(255,a,8193,a,b,11814,a)]. 11817 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [hyper(255,a,9127,a(flip),b,11815,a(flip))]. 11818 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [hyper(8205,a,11817,a)]. 11820 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [para(2075(a,2),11817(a,2,2))]. 11821 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(11817(a,1),9909(a,1,1))]. 11822 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(2075(a,2),11818(a,2,2))]. 11823 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(5829,a,11820,a)]. 11824 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(255,a,11482,a,b,11820,a(flip)),flip(a)]. 11825 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(255,a,9630,a,b,11820,a(flip)),flip(a)]. 11826 T(K(x,y) * z,K(x,u) * K(y,x)) = T(z * K(x,y),K(x,u)). [hyper(255,a,6870,a(flip),b,11820,a(flip))]. 11827 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). [para(9490(a,1),11822(a,1,1,2)),flip(a)]. 11828 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(11822(a,1),10331(a,2,1))]. 11829 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(255,a,11820,a(flip),b,11823,a(flip))]. 11830 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(5353,a,11829,a)]. 11832 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2075(a,2),11824(a,1,2,1))]. 11833 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(22,a,11824,a,b,11830,a),flip(a)]. 11834 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(11830(a,1),5255(a,1))]. 11835 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(2075(a,2),11833(a,1,1))]. 11836 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(2075(a,1),11835(a,2,2))]. 11837 K(K(x,y) * K(z,x),u) / (K(y,x) * K(x,z)) = 1 / T(K(y,x) * K(x,z),u). [hyper(81,a,11836,a,b,5183,a(flip))]. 11838 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(22,a,5252,a(flip),b,11832,a)]. 11839 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(255,a,11836,a(flip),b,11838,a(flip))]. 11840 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(11838(a,1),5252(a,2,2)),flip(a)]. 11841 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(11820(a,2),11834(a,1))]. 11843 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(5281,a,11821,a),flip(a)]. 11845 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(255,a,11833,a(flip),b,11843,a)]. 11846 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). [para(6375(a,1),11843(a,1,2,2)),flip(a)]. 11847 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(255,a,11838,a,b,11845,a)]. 11848 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(255,a,11132,a,b,11845,a(flip))]. 11849 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [hyper(255,a,10117,a,b,11845,a(flip)),flip(a)]. 11850 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)). [para(8154(a,1),11845(a,1,1))]. 11851 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(8428(a,1),11845(a,1,1))]. 11852 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)). [hyper(255,a,11839,a(flip),b,11850,a)]. 11853 x / T((K(y,z) * x) * K(z,u),K(z,y)) = ((1 * (K(z,u) * K(y,z))) * x) \ x. [para(11826(a,1),11267(a,1,2))]. 11854 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(255,a,11818,a(flip),b,11825,a(flip))]. 11855 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(255,a,5177,a,b,11828,a)]. 11856 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5600(a,1),11855(a,1,2))]. 11857 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(255,a,11109,a(flip),b,11848,a)]. 11858 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [para(2075(a,1),11857(a,1,2))]. 11859 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(18(a,1),11858(a,1,2,2,2,3))]. 11860 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(11834,a,11854,a)]. 11861 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(255,a,5252,a(flip),b,11860,a),flip(a)]. 11862 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). [para(9629(a,1),11827(a,2,1))]. 11863 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(5448,a,11840,a)]. 11864 (x * (K(y,z) * K(z,u))) / x = T(K(z,u) * K(y,z),x). [para(2075(a,1),11863(a,1,1,2))]. 11865 T(K(x,y) * K(z,x),u) * u = u * (K(z,x) * K(x,y)). [para(11864(a,1),21(a,1,1))]. 11867 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(22,a,5252,a(flip),b,11861,a),flip(a)]. 11868 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(255,a,11823,a(flip),b,11862,a)]. 11869 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(9490(a,1),11868(a,1,2,2))]. 11870 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(255,a,11829,a,b,11869,a),flip(a)]. 11871 K(K(x,y) * K(z,x),u) * (K(z,x) * K(x,y)) = 1 / T(K(y,x) * K(x,z),u). [hyper(255,a,9214,a(flip),b,11837,a(flip)),flip(a)]. 11872 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). [para(8134(a,1),11849(a,1,2,2,2))]. 11873 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8428(a,1),11851(a,1,2)),flip(a)]. 11874 K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. [para(11873(a,1),8008(a,1))]. 11876 K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. [para(11843(a,1),11874(a,1))]. 11877 K(K(x,y) * K(z,x),u) != w | K(u,K(x,y) * K(z,x)) = w. [para(11847(a,1),11874(a,1))]. 11878 K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w. [para(11856(a,2),11877(a,1))]. 11879 x / T(K(y,z) * (x * K(z,u)),K(z,y)) = ((1 * (K(z,u) * K(y,z))) * x) \ x. [para(7465(a,1),11853(a,1,2,1))]. 11880 K(K(x,y),K(y,z)) * T(K(y,z) * K(x,y),u) = 1 / T(K(z,y) * K(y,x),u). [hyper(255,a,6958,a(flip),b,11871,a(flip)),flip(a)]. 11881 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(5869,a,11872,a)]. 11882 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(8134(a,1),11881(a,1,1))]. 11883 ((1 * (K(x,y) * K(z,x))) * u) \ u = u / ((u * K(x,y)) * K(z,x)). [para(8197(a,1),11879(a,1,2)),flip(a)]. 11884 ((1 * (K(x,y) * K(z,x))) * u) \ u = u / (u * (K(z,x) * K(x,y))). [para(9128(a,1),11883(a,2,2))]. 11885 x / (x * (K(y,z) * K(z,u))) = ((K(z,u) * K(y,z)) * x) \ x. [para(16(a,1),11884(a,1,1,1)),flip(a)]. 11886 x / (x * (K(y,z) * K(z,u))) = (K(z,u) * (K(y,z) * x)) \ x. [para(10270(a,1),11885(a,2,1))]. 11887 1 / T(K(x,y) * K(y,z),u) = 1 * T(K(y,x) * K(z,y),u). [para(2073(a,1),11880(a,1,1)),flip(a)]. 11888 1 / T(K(x,y) * K(y,z),u) = T(K(y,x) * K(z,y),u). [hyper(255,a,16,a(flip),b,11887,a)]. 11890 T(K(x,y) * K(z,x),u) \ 1 = T(K(y,x) * K(x,z),u). [para(11888(a,1),73(a,1,1))]. 11891 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))). [para(9317(a,1),11846(a,2,2))]. 11892 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(255,a,11843,a(flip),b,11891,a)]. 11893 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(6375(a,1),11892(a,1,1,2))]. 11894 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(11073(a,1),9614(a,1,1,2))]. 11895 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(8096(a,1),11894(a,1,1))]. 11896 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(47(a,2),11895(a,1,2))]. 11897 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(204(a,1),11896(a,1,2,1))]. 11898 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(255,a,9617,a(flip),b,11897,a(flip)),flip(a)]. 11899 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(255,a,10285,a(flip),b,11898,a(flip)),flip(a)]. 11901 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(255,a,9817,a(flip),b,11899,a(flip))]. 11902 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(7743(a,1),11901(a,2,2))]. 11903 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(255,a,4644,a(flip),b,11902,a)]. 11904 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(9613(a,1),11903(a,1,1,1))]. 11905 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(11073(a,1),11904(a,1,1)),flip(a)]. 11906 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(11905(a,1),5593(a,1))]. 11907 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). [para(9739(a,1),9742(a,1,2,1,1)),flip(a)]. 11908 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w). [hyper(255,a,3818,a(flip),b,11907,a)]. 11910 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1150(a,1),11908(a,2,1))]. 11911 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1150(a,1),11910(a,1,1))]. 11912 a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)). [para(11911(a,1),11615(a,1,2,2))]. 11913 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(18(a,1),11503(a,2,1,1))]. 11914 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(255,a,9757,a(flip),b,11913,a)]. 11916 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(18(a,1),11914(a,1,1,1))]. 11917 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(18(a,1),11916(a,1,2,2))]. 11918 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(6475(a,1),11917(a,1,2,1,3))]. 11919 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(7376(a,1),7377(a,2,2,1,1))]. 11920 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(73(a,1),11919(a,2,2,1))]. 11922 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(255,a,4034,a(flip),b,11920,a)]. 11923 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(73(a,1),11922(a,1,1,2,1))]. 11924 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(4034(a,1),11923(a,1,1))]. 11925 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(6861,a,11924,a)]. 11926 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(11925(a,1),11520(a,1,1,1))]. 11927 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(255,a,704,a(flip),b,11926,a(flip)),flip(a)]. 11928 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(122(a,1),11927(a,1,1,2))]. 11929 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(29(a,2),11928(a,1,1)),flip(a)]. 11930 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(255,a,10628,a(flip),b,11929,a),flip(a)]. 11931 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(29(a,2),11930(a,2,1,1)),flip(a)]. 11933 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). [hyper(255,a,7319,a(flip),b,9621,a(flip))]. 11935 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). [hyper(255,a,3867,a(flip),b,11933,a)]. 11936 T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). [para(2245(a,1),11935(a,1,2,1)),flip(a)]. 11938 (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). [para(5600(a,1),10179(a,1,1,2))]. 11939 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(255,a,10266,a(flip),b,10306,a(flip)),flip(a)]. 11940 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(11262,a,11939,a)]. 11943 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(10244(a,1),11940(a,2,2,2))]. 11944 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(19(a,1),11943(a,2,2,2,1))]. 11945 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(18(a,1),11944(a,2,2))]. 11947 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(255,a,10252,a(flip),b,11945,a)]. 11948 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(255,a,11263,a(flip),b,11947,a(flip))]. 11949 a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(11947(a,1),4788(a,1))]. 11951 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10844(a,1),11232(a,1,2,1,1))]. 11952 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(10280(a,2),11545(a,2,2,1))]. 11954 ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). [para(7091(a,1),11938(a,1,1))]. 11955 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(255,a,11231,a(flip),b,11951,a(flip))]. 11956 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(9486,a,11955,a),flip(a)]. 11957 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(9340,a,11956,a)]. 11958 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(8719,a,11957,a),flip(a)]. 11959 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(11958(a,1),10908(a,1,1))]. 11960 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(255,a,10907,a(flip),b,11959,a(flip)),flip(a)]. 11961 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(11338,a,11960,a),flip(a)]. 11962 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(255,a,7384,a(flip),b,11961,a(flip))]. 11963 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(35(a,2),11962(a,1,2,1)),flip(a)]. 11964 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(478(a,1),11963(a,2,2,1))]. 11965 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(5584(a,1),11963(a,1,1)),flip(a)]. 11966 K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). [para(5890(a,1),11963(a,1,1)),flip(a)]. 11967 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(11409(a,1),11963(a,1,1))]. 11968 K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). [hyper(255,a,5817,a,b,11966,a(flip)),flip(a)]. 11970 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(11965(a,1),11967(a,1,1)),flip(a)]. 11971 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(5817(a,1),11964(a,1,1))]. 11972 T(K(x,y) * K(z,x),u) * u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(16(a,2),11952(a,2,1))]. 11973 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(4497(a,1),4421(a,1,1,2)),flip(a)]. 11974 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(255,a,1803,a(flip),b,11973,a)]. 11975 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(4417(a,1),11974(a,1,3))]. 11976 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(11975(a,1),6453(a,1,1,1))]. 11977 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(11975(a,1),11976(a,1,2))]. 11978 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(286,a,11977,a)]. 11979 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(255,a,4953,a(flip),b,11978,a(flip)),flip(a)]. 11980 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(11979(a,1),169(a,1,2))]. 11981 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(73(a,1),4427(a,1,1,2))]. 11982 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(45(a,2),11981(a,1,1))]. 11983 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(3053(a,1),11982(a,1,1))]. 11984 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(73(a,1),11983(a,1,2,2,2))]. 11985 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(45(a,2),11984(a,1,2,2))]. 11986 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(3053(a,1),11985(a,1,2,2))]. 11987 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(18(a,1),11986(a,1,2))]. 11989 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(11987(a,1),10813(a,1,1)),flip(a)]. 11990 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [para(11989(a,1),73(a,1,1))]. 11991 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(255,a,3062,a(flip),b,11990,a(flip)),flip(a)]. 11993 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u * K(y,x))). [para(6673(a,1),9138(a,2,2,2))]. 11995 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))). [para(6740(a,1),9716(a,1,1)),flip(a)]. 11996 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = K(x,L(y,u,w)) * (x * K(y,z)). [hyper(255,a,5677,a(flip),b,11995,a)]. 11998 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = T(x,L(y,u,w)) * K(y,z). [hyper(255,a,5272,a(flip),b,11996,a)]. 11999 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(6740(a,1),11998(a,1,2))]. 12000 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(255,a,7977,a(flip),b,11999,a(flip)),flip(a)]. 12002 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(255,a,11631,a(flip),b,12000,a)]. 12003 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(12002(a,1),5295(a,1,1))]. 12004 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(12002(a,1),5434(a,1,1))]. 12006 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(255,a,8147,a(flip),b,11241,a(flip))]. 12007 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(8136,a,12006,a)]. 12009 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(8915(a,1),12007(a,1,2))]. 12010 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,9528,a(flip),b,12009,a(flip)),flip(a)]. 12011 R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(9313(a,1),11287(a,1,1,1,2))]. 12018 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ (K(x,y) * (K(z,x) * (u * K(y,x)))). [para(10270(a,1),11993(a,2,2))]. 12028 R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). [para(11882(a,1),12011(a,1,1,1))]. 12029 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ T(K(z,x) * u,K(x,y)). [para(8745(a,1),12018(a,2,2))]. 12030 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(K(z,x),u) * K(K(z,x) * u,K(x,y)). [hyper(255,a,7126,a(flip),b,12029,a)]. 12031 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(K(z,x) * u,K(x,y)). [para(8153(a,1),12030(a,2,1))]. 12032 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(u,K(x,y)). [para(8426(a,1),12031(a,2,2))]. 12033 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [hyper(255,a,11852,a(flip),b,12032,a)]. 12035 K(K(x,y) * K(z,x),R(u * K(y,x),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [para(6673(a,1),12033(a,1,2,1))]. 12036 K(K(x,y) * K(z,x),u * K(y,x)) = K(u,K(z,x) * K(x,y)). [para(9131(a,1),12035(a,1,2))]. 12038 (K(x,y) * K(z,x)) \ K(u,K(z,x) * K(x,y)) = K(x,T(z,u)) * K(y,T(x,u)). [para(12036(a,1),11497(a,1,2))]. 12039 K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)) = K(x * (T(x,y) \ z),T(x,y) / z). [hyper(255,a,11471,a(flip),b,9081,a(flip))]. 12040 K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)) = K(K(y,x) * z,T(x,y) / z). [para(5225(a,1),12039(a,2,1))]. 12041 K((1 / (T(x,y) \ z)) \ x,(T(x,y) \ z) \ 1) = K(K(y,x) * z,T(x,y) / z). [hyper(5580,a,12040,a)]. 12042 K(x * (T(x,y) \ z),(T(x,y) \ z) \ 1) = K(K(y,x) * z,T(x,y) / z). [hyper(255,a,6286,a(flip),b,12041,a(flip)),flip(a)]. 12043 K(K(x,y) * z,(T(y,x) \ z) \ 1) = K(K(x,y) * z,T(y,x) / z). [para(5225(a,1),12042(a,1,1))]. 12044 K(K(x,y) * z,T(y,x) / z) = K(K(x,y) * z,z \ T(y,x)). [hyper(6817,a,12043,a),flip(a)]. 12045 K((T(x,y) / z) \ x,T(x,y) / z) = K(K(y,x) * z,z \ T(x,y)). [hyper(255,a,10946,a,b,12044,a(flip)),flip(a)]. 12046 K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K(K(y,x) * z,z \ T(x,y)). [hyper(255,a,8887,a,b,12045,a(flip)),flip(a)]. 12047 (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9367(a,1),9221(a,1,1,2))]. 12048 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9219(a,1),12047(a,1,2,1))]. 12049 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(4036(a,1),12048(a,1,2,2))]. 12050 R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(3653(a,1),12049(a,1,2)),flip(a)]. 12052 R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(9219(a,1),12050(a,1,2,1))]. 12054 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(9367(a,1),12052(a,1,2)),flip(a)]. 12055 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(9219(a,1),12054(a,2,3))]. 12056 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [hyper(255,a,10081,a(flip),b,12055,a)]. 12058 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(10647(a,2),12056(a,1,1,2))]. 12059 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(9212,a,12058,a)]. 12060 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [para(7542(a,1),12059(a,1,2))]. 12061 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(12060(a,1),6663(a,1,1)),flip(a)]. 12062 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(255,a,5131,a(flip),b,12061,a)]. 12063 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(1450(a,1),10435(a,1,1))]. 12064 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(255,a,8741,a(flip),b,12063,a)]. 12066 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [para(12064(a,1),19(a,1,2))]. 12067 (K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(12066(a,1),11954(a,1,1))]. 12068 (K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(10178(a,1),12067(a,1,2))]. 12069 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(962,a,12068,a)]. 12070 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(255,a,5600,a(flip),b,12069,a)]. 12071 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). [hyper(255,a,9040,a,b,12070,a(flip)),flip(a)]. 12072 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3225,a,12071,a),flip(a)]. 12073 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(9334,a,12072,a),flip(a)]. 12075 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(9329,a,12073,a),flip(a)]. 12077 K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). [para(12075(a,1),10588(a,1,1))]. 12078 T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). [hyper(5565,a,12077,a)]. 12079 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10543(a,1),12077(a,1,2,2))]. 12080 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(12078(a,1),10253(a,1))]. 12081 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10257(a,1),12079(a,1,2))]. 12082 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5612,a,12081,a)]. 12083 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(12080,a,12082,a)]. 12085 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(12083(a,1),10823(a,1,1)),flip(a)]. 12086 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(12085(a,1),11931(a,1,1))]. 12088 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(255,a,11931,a(flip),b,12086,a(flip))]. 12089 (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [hyper(255,a,9513,a,b,12088,a),flip(a)]. 12090 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(7197(a,1),12089(a,1,1,2))]. 12091 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(569(a,1),12090(a,1,1))]. 12092 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(184(a,1),12091(a,1,2)),flip(a)]. 12093 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). [hyper(255,a,1373,a(flip),b,12092,a)]. 12094 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(47(a,2),12093(a,2,3))]. 12095 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(255,a,12088,a(flip),b,12094,a(flip)),flip(a)]. 12096 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(255,a,12083,a(flip),b,12095,a(flip)),flip(a)]. 12098 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(255,a,11948,a(flip),b,12096,a(flip))]. 12100 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [hyper(255,a,11518,a,b,12098,a(flip)),flip(a)]. 12101 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(9753,a,12100,a)]. 12103 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(12101(a,1),11484(a,1,2)),flip(a)]. 12104 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(37(a,2),12103(a,2,2,2))]. 12105 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(10357(a,1),12104(a,2,2))]. 12106 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(255,a,11694,a(flip),b,12105,a(flip)),flip(a)]. 12107 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(319(a,1),12106(a,1,2,3))]. 12108 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(10030,a,12107,a)]. 12109 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(11756,a,12108,a)]. 12110 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(255,a,12101,a(flip),b,12108,a(flip))]. 12111 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(19(a,1),12109(a,1,2)),flip(a)]. 12112 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(12111(a,1),10255(a,1,2)),flip(a)]. 12113 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12111(a,1),10267(a,1,2)),flip(a)]. 12114 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [hyper(255,a,10543,a(flip),b,12112,a(flip))]. 12115 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(12110(a,1),10359(a,1,1))]. 12116 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(255,a,10349,a(flip),b,12115,a(flip)),flip(a)]. 12117 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(10562(a,1),12114(a,1,2,1)),flip(a)]. 12118 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(255,a,12113,a,b,12117,a)]. 12120 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(12118(a,1),11697(a,2,1,1))]. 12121 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. [hyper(255,a,461,a(flip),b,10706,a)]. 12122 (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [hyper(255,a,1902,a(flip),b,12121,a(flip)),flip(a)]. 12123 (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5606(a,1),12122(a,1,1,2,1))]. 12124 (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(6029(a,1),12123(a,1,1,2,1))]. 12125 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(8270(a,1),12124(a,1,1,2,1)),flip(a)]. 12126 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(255,a,4616,a(flip),b,12125,a(flip))]. 12128 (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). [para(12126(a,1),1320(a,2,1,2)),flip(a)]. 12129 (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). [para(5600(a,1),12128(a,1,1))]. 12130 (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). [para(10303(a,1),12129(a,1,1))]. 12131 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(303,a,12130,a)]. 12134 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(255,a,6372,a(flip),b,12131,a(flip)),flip(a)]. 12135 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(255,a,7623,a(flip),b,12134,a)]. 12136 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(255,a,8055,a(flip),b,12135,a(flip))]. 12138 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(255,a,11143,a(flip),b,12136,a)]. 12139 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(9348,a,12138,a)]. 12141 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). [para(9127(a,1),9133(a,1,1,2,1,1)),flip(a)]. 12142 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(18(a,1),12141(a,2,1,2,1))]. 12144 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(9127(a,1),12142(a,1,1)),flip(a)]. 12145 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2078(a,1),12144(a,2,2))]. 12146 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(255,a,9869,a,b,12145,a(flip)),flip(a)]. 12148 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(304,a,12146,a)]. 12153 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8100(a,1),11119(a,1,2,1,2))]. 12154 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8439(a,1),12153(a,1,2,1,2))]. 12155 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8143(a,1),12154(a,1,2,1,2))]. 12156 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8278(a,1),12155(a,1,2,1,2))]. 12157 T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(5333(a,1),12156(a,1,2,1))]. 12158 K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [hyper(255,a,5594,a,b,12157,a(flip)),flip(a)]. 12159 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). [para(8459(a,1),12158(a,1,1)),flip(a)]. 12160 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(1601(a,1),12159(a,2,2))]. 12161 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(255,a,8179,a(flip),b,12160,a)]. 12162 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). [para(18(a,1),7121(a,1,1,1)),flip(a)]. 12163 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)). [hyper(255,a,7544,a(flip),b,12162,a)]. 12165 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(255,a,9456,a(flip),b,12163,a)]. 12166 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [hyper(7899,a,12165,a)]. 12167 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(255,a,9485,a(flip),b,12166,a(flip)),flip(a)]. 12168 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(9462,a,12167,a)]. 12169 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(9342,a,12168,a),flip(a)]. 12171 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(255,a,10322,a(flip),b,12169,a(flip)),flip(a)]. 12172 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(6902,a,12171,a),flip(a)]. 12173 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(255,a,9305,a,b,12172,a(flip)),flip(a)]. 12174 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(255,a,11543,a,b,12173,a(flip)),flip(a)]. 12175 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). [para(35(a,2),12174(a,2,2,1))]. 12176 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(255,a,9568,a(flip),b,12175,a(flip))]. 12178 K(x,y) * (((z * x) / z) * L(u,T(K(x,y),(z * x) / z),(z * x) / z)) = ((z * x) / z) * (K(x,y) * u). [para(3336(a,1),7645(a,2,2,1))]. 12179 K(x,y) * (((z * x) / z) * L(u,K(x,y),(z * x) / z)) = ((z * x) / z) * (K(x,y) * u). [para(3336(a,1),12178(a,1,2,2,2))]. 12182 K(x,y) * (((z * x) / z) * u) = ((z * x) / z) * (K(x,y) * u). [para(7667(a,1),12179(a,1,2,2))]. 12183 ((x * y) / x) * (K(y,z) * u) = T(y,z) * (K(x,y) * u). [hyper(5937,a,12182,a),flip(a)]. 12185 K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5600(a,1),9981(a,1,1,1))]. 12186 K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(11282(a,1),12185(a,1,1))]. 12187 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(255,a,6610,a(flip),b,12186,a(flip)),flip(a)]. 12189 K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(255,a,11893,a(flip),b,12187,a(flip)),flip(a)]. 12190 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). [hyper(11878,a,12189,a),flip(a)]. 12191 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). [hyper(255,a,11867,a(flip),b,12190,a)]. 12192 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(255,a,11859,a(flip),b,12191,a)]. 12194 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(255,a,6610,a(flip),b,12192,a(flip)),flip(a)]. 12195 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(12194(a,1),5411(a,1,1))]. 12196 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(11283(a,1),12195(a,1,2))]. 12197 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(83,a,12196,a)]. 12198 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(8153(a,1),12196(a,1,2,1))]. 12199 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5622,a,12197,a)]. 12200 R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). [hyper(2083,a,12197,a)]. 12201 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6358(a,1),12197(a,1,2))]. 12202 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(9562(a,1),12197(a,1,2))]. 12203 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(12197(a,1),10198(a,1,1)),flip(a)]. 12205 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(12197(a,1),11870(a,2,2))]. 12206 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(12197(a,1),11893(a,1,1)),flip(a)]. 12207 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(12197(a,1),12148(a,1,1,2))]. 12208 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). [para(12199(a,1),10520(a,1,1)),flip(a)]. 12209 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [para(12200(a,1),9998(a,2,2))]. 12210 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(5622,a,12203,a)]. 12211 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(11876,a,12206,a)]. 12214 K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. [para(12206(a,1),11876(a,1))]. 12215 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(12197(a,1),12207(a,1,2))]. 12217 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(80,a,128,a(flip),b,12215,a)]. 12218 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(255,a,10018,a(flip),b,12210,a(flip)),flip(a)]. 12219 R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). [para(12211(a,1),12028(a,1,1,1))]. 12220 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(9314(a,1),12198(a,1,2,2))]. 12221 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(11882(a,1),12220(a,1,2))]. 12222 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(9427(a,1),12218(a,1,2))]. 12223 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(5634,a,12222,a)]. 12224 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(255,a,9991,a,b,12223,a)]. 12225 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(255,a,12209,a(flip),b,12208,a)]. 12226 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(336(a,1),12219(a,1,1)),flip(a)]. 12227 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(255,a,9429,a(flip),b,12226,a)]. 12228 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(8100(a,1),12227(a,1,2,1,1))]. 12229 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(9313(a,1),12228(a,1,2,1))]. 12230 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(5263(a,2),12229(a,1,2))]. 12231 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(255,a,9632,a,b,12230,a(flip)),flip(a)]. 12232 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(8141(a,1),12231(a,1,1))]. 12233 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(11841,a,12232,a)]. 12234 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(255,a,12205,a(flip),b,12233,a(flip))]. 12235 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(22,a,5252,a(flip),b,12234,a)]. 12236 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(12214,a,12235,a)]. 12237 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(12236(a,1),12221(a,1,2))]. 12238 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(83,a,12237,a),flip(a)]. 12239 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(255,a,12235,a,b,12238,a)]. 12240 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(8134(a,1),12238(a,1,1))]. 12241 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(8134(a,1),12239(a,1,1))]. 12242 (T(K(x,y) * K(z,x),u) \ 1) \ u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(16(a,1),10425(a,1,1,1,1))]. 12243 (T(K(x,y) * K(z,x),u) \ 1) \ u = T(K(x,y) * K(z,x),u) * u. [hyper(255,a,11972,a,b,12242,a)]. 12244 (T(K(x,y) * K(z,x),u) \ 1) \ u = u * (K(z,x) * K(x,y)). [hyper(255,a,11865,a(flip),b,12243,a)]. 12245 T(K(x,y) * K(y,z),u) \ u = u * (K(z,y) * K(y,x)). [para(11890(a,1),12244(a,1,1))]. 12246 x / (x * (K(y,z) * K(z,u))) = T(K(u,z) * K(z,y),x). [para(12245(a,1),70(a,1,2))]. 12247 (K(x,y) * (K(z,x) * u)) \ u = T(K(y,x) * K(x,z),u). [hyper(255,a,11886,a(flip),b,12246,a(flip)),flip(a)]. 12248 T(K(x,y) * K(y,z),u) \ 1 = T(K(y,x) * K(z,y),u). [para(12247(a,1),10493(a,1,1))]. 12249 K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). [para(5510(a,1),5730(a,1,1))]. 12250 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). [para(5510(a,1),12249(a,1,2,1,1)),flip(a)]. 12251 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). [para(5381(a,1),12250(a,2,2,1))]. 12252 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). [para(6358(a,1),12251(a,2,2))]. 12253 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). [para(5187(a,1),12252(a,1,1,1)),flip(a)]. 12254 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). [para(6358(a,1),12253(a,2,1,2))]. 12255 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). [hyper(255,a,12201,a(flip),b,12254,a(flip))]. 12256 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(5387(a,1),11054(a,1,2)),flip(a)]. 12257 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(21(a,1),3402(a,1,2,1))]. 12258 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(67(a,1),12257(a,1,2))]. 12260 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(219,a,12258,a)]. 12263 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(3741(a,1),12260(a,1,1))]. 12264 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(255,a,7177,a(flip),b,12263,a(flip))]. 12265 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(255,a,5142,a(flip),b,12264,a)]. 12266 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(255,a,10632,a(flip),b,12265,a)]. 12267 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(12265(a,2),7178(a,1,1))]. 12268 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1150(a,1),12266(a,1,2))]. 12269 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(12268(a,1),5241(a,2,1)),flip(a)]. 12270 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(255,a,8154,a,b,12269,a)]. 12271 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. [para(12269(a,2),8183(a,1))]. 12272 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(12267(a,1),11805(a,1,2))]. 12273 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(255,a,6434,a(flip),b,12272,a(flip)),flip(a)]. 12274 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(255,a,10480,a(flip),b,12273,a)]. 12275 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(255,a,11811,a(flip),b,12274,a(flip))]. 12276 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(12274(a,1),73(a,1,1))]. 12277 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(12276(a,1),5062(a,1,2,1))]. 12278 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(255,a,10480,a(flip),b,12277,a)]. 12279 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(12275(a,1),12278(a,1,1))]. 12280 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(255,a,11812,a,b,12279,a(flip)),flip(a)]. 12281 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(6709(a,1),12280(a,1,1))]. 12282 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(255,a,6031,a(flip),b,12281,a(flip))]. 12283 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(255,a,10491,a(flip),b,12282,a(flip)),flip(a)]. 12284 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(12283(a,1),73(a,1,1))]. 12285 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(12284(a,1),2229(a,1,1))]. 12286 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(12285(a,1),6992(a,1,2,1))]. 12287 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T((((y * z) \ y) \ 1) \ x,u)). [hyper(8996,a,12286,a),flip(a)]. 12288 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * ((K(z,x) * y) / z). [para(5214(a,1),5081(a,2,2,1))]. 12289 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * (K(z,x) * (y / z)). [para(7716(a,1),12288(a,2,2))]. 12290 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = T(z,x) * (K(x,z) * (y / z)). [hyper(255,a,12183,a(flip),b,12289,a)]. 12291 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = z * (y / z). [hyper(255,a,5564,a(flip),b,12290,a)]. 12293 ((T(x,y) / z) \ ((y * (((y \ (x * y)) / z) * z)) / y)) * ((y \ (x * y)) / z) = z * (x / z). [para(37(a,2),12291(a,1,1,1,1))]. 12294 ((T(x,y) / z) \ ((y * ((T(x,y) / z) * z)) / y)) * ((y \ (x * y)) / z) = z * (x / z). [para(37(a,2),12293(a,1,1,2,1,2,1,1))]. 12295 ((T(x,y) / z) \ ((y * T(x,y)) / y)) * ((y \ (x * y)) / z) = z * (x / z). [para(21(a,1),12294(a,1,1,2,1,2))]. 12297 ((T(x,y) / z) \ x) * ((y \ (x * y)) / z) = z * (x / z). [para(167(a,1),12295(a,1,1,2))]. 12298 ((T(x,y) / z) \ x) * (T(x,y) / z) = z * (x / z). [para(37(a,2),12297(a,1,2,1))]. 12299 K((T(x,y) / z) \ T(x,u),T(x,y) / z) = T(x,u) \ T(z * (x / z),u). [para(12298(a,1),5046(a,1,2,1)),flip(a)]. 12300 K((T(x,y) / z) \ T(x,u),T(x,y) / z) = K(z,z \ T(x,u)). [hyper(255,a,5659,a(flip),b,12299,a)]. 12301 K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K(z,z \ x). [hyper(255,a,7991,a(flip),b,12300,a)]. 12302 K(K(x,y) * z,z \ T(y,x)) = K(z,z \ y). [hyper(255,a,12046,a(flip),b,12301,a(flip)),flip(a)]. 12304 K(K(x,T(y,z \ T(y,x))) * z,z \ T(y,x)) = K(z,z \ y). [hyper(255,a,8077,a,b,12302,a(flip)),flip(a)]. 12305 K(K(x,T(y,z \ y)) * z,z \ T(y,x)) = K(z,z \ y). [para(8802(a,1),12304(a,1,1,1,2))]. 12306 K(K(x,T(y,z)) * z,z \ T(y,x)) = K(z,z \ y). [para(8542(a,1),12305(a,1,1,1))]. 12308 K(x * K(y,z),x \ T(z,y)) = K(x,x \ z). [para(8235(a,1),12306(a,1,1))]. 12309 T(T(x,y) / z,z * K(y,x)) = T(x,y) / (z * K(z,z \ x)). [para(12308(a,1),7825(a,1,2,2)),flip(a)]. 12310 T(T(x,y) / z,z * K(y,x)) = T(x,y) / T(z,z \ x). [para(5252(a,2),12309(a,2,2))]. 12311 T(x,L(T(y * z,z) / T(y,y \ (y * z)),u,w)) = T(x,L((y * z) / y,u,w)). [para(12310(a,1),11268(a,1,2,1))]. 12312 T(x,L(T(y * z,z) / T(y,z),u,w)) = T(x,L((y * z) / y,u,w)). [para(18(a,1),12311(a,1,2,1,2,2))]. 12313 T(x,L((y * z) / y,u,w)) = T(x,L(z * K(y * z,z),u,w)). [para(5422(a,1),12312(a,1,2,1)),flip(a)]. 12314 T(x,L(T(y,z * y),u,w)) = T(x,L((z * y) / z,u,w)). [hyper(255,a,8864,a(flip),b,12313,a),flip(a)]. 12315 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [hyper(255,a,8863,a(flip),b,12314,a)]. 12316 (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(12315(a,1),11673(a,1,2))]. 12317 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). [para(4536(a,1),12316(a,1,2)),flip(a)]. 12318 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). [para(43(a,1),12317(a,2,2))]. 12319 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x). [hyper(255,a,7790,a(flip),b,12318,a)]. 12320 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x). [para(11637(a,1),12319(a,2,1))]. 12321 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x). [hyper(255,a,7434,a(flip),b,12320,a)]. 12322 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(7537(a,1),12321(a,1,2,3))]. 12323 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(4474(a,1),12322(a,1,2,3))]. 12324 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [hyper(255,a,11738,a,b,12323,a(flip)),flip(a)]. 12325 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(11600(a,1),12324(a,1,1))]. 12326 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(3140(a,1),12325(a,1,2)),flip(a)]. 12327 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(255,a,5600,a(flip),b,12326,a)]. 12328 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(11637(a,1),12327(a,2,1))]. 12329 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(255,a,5263,a,b,12328,a)]. 12330 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(255,a,12004,a,b,12329,a(flip)),flip(a)]. 12331 x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(6849(a,1),10300(a,1,2,1))]. 12332 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(4245(a,1),12331(a,1,2,2)),flip(a)]. 12333 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(8521(a,1),12332(a,2,2))]. 12334 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(18(a,1),12333(a,2,2,1))]. 12335 K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(11991(a,1),12334(a,1,1,2))]. 12336 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8978(a,1),12335(a,1,1))]. 12338 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(11991(a,1),12336(a,1,2,1))]. 12339 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(5804(a,1),12338(a,1,2))]. 12340 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7786(a,1),12339(a,1,2))]. 12341 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(7212(a,1),12340(a,1,2)),flip(a)]. 12342 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(255,a,7814,a,b,12341,a)]. 12344 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(9068(a,1),6546(a,1,1)),flip(a)]. 12345 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(255,a,7714,a,b,12344,a)]. 12347 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(5272(a,1),12345(a,2,1))]. 12348 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(9068(a,1),6547(a,1,1)),flip(a)]. 12349 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(255,a,7714,a,b,12348,a)]. 12351 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(5272(a,1),12349(a,2,1))]. 12352 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). [hyper(255,a,10086,a(flip),b,12351,a)]. 12353 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4565(a,2),12352(a,1,2))]. 12354 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(9064(a,1),12353(a,1,2,1))]. 12355 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4563(a,2),12354(a,1,2,1))]. 12357 K((x * (K(y,x) / T(x,z))) \ 1,((x \ K(x,y)) * T(x,z)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). [para(8888(a,1),11769(a,1,1,1))]. 12358 (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(6125(a,1),11770(a,1,1,1))]. 12359 ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11767(a,1),12358(a,1,1))]. 12360 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11767(a,1),12359(a,1,2,1))]. 12361 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(6125(a,1),12360(a,1,2,2,2))]. 12362 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). [para(10698(a,1),10699(a,2,2,1,1))]. 12363 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). [hyper(255,a,1907,a(flip),b,12362,a)]. 12364 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). [para(2114(a,1),12363(a,2,2))]. 12365 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). [para(821(a,1),12364(a,2,2,1))]. 12366 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1158(a,1),12365(a,2,2,1,2))]. 12367 T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1907(a,1),12366(a,1,1))]. 12368 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). [hyper(255,a,9593,a(flip),b,9840,a)]. 12369 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). [hyper(255,a,8138,a(flip),b,12368,a)]. 12370 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2889(a,1),9792(a,1,1,1,2))]. 12371 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(255,a,18,a(flip),b,11284,a)]. 12373 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(11282(a,1),12371(a,1,3))]. 12375 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(12197(a,1),12373(a,1,3))]. 12376 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [para(12375(a,1),112(a,1,2))]. 12377 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(255,a,12225,a(flip),b,12376,a(flip))]. 12378 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5608(a,1),12377(a,1,2))]. 12379 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(8236(a,1),12378(a,1,1,1)),flip(a)]. 12380 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(173,a,12379,a),flip(a)]. 12382 K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(4882(a,1),12370(a,1,1,1))]. 12383 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). [para(126(a,1),12382(a,1,1,1)),flip(a)]. 12385 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). [para(2889(a,1),12383(a,2,1,3,2))]. 12386 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). [para(18(a,1),12385(a,2,1,3))]. 12388 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4857(a,1),12386(a,2,1))]. 12389 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(70(a,1),12388(a,1,1,1,1,2))]. 12390 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(2889(a,1),12389(a,1,1,2))]. 12391 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(255,a,6038,a(flip),b,12390,a(flip)),flip(a)]. 12393 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). [para(37(a,2),12391(a,1,1,1,1)),flip(a)]. 12394 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(10487(a,1),12393(a,2,1,1))]. 12395 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(255,a,7622,a(flip),b,12394,a)]. 12396 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(37(a,2),12395(a,1,1,3))]. 12397 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7542(a,1),12396(a,2,1))]. 12398 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(255,a,7206,a(flip),b,12397,a(flip)),flip(a)]. 12399 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [para(12398(a,1),6918(a,2,2))]. 12401 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [hyper(255,a,112,a(flip),b,12399,a)]. 12402 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [para(7559(a,1),12401(a,2,2))]. 12403 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [hyper(6893,a,12402,a)]. 12404 K(x * y,z) * x = x * K(y * x,z). [hyper(11395,a,12403,a),flip(a)]. 12405 K(x * y,T(z,y)) = K(y * x,z). [hyper(8290,a,12404,a),flip(a)]. 12406 K(x * y,T(z,x)) = K(y * x,z). [hyper(7651,a,12404,a)]. 12410 K(x * (y / x),z) = K(y,T(z,x)). [para(21(a,1),12405(a,1,1)),flip(a)]. 12412 K(T(x,y),z * y) = 1 / K(y * z,x). [para(12405(a,1),5394(a,1,2)),flip(a)]. 12414 K((x \ y) * x,z) = K(y,T(z,x)). [para(19(a,1),12406(a,1,1)),flip(a)]. 12416 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(12406(a,1),12062(a,1,1))]. 12417 K(T(x,y) * y,z) = K(x * y,T(z,x)). [para(4127(a,2),12410(a,1,1))]. 12419 K((x \ y) * x,T(y,z)) = 1. [hyper(255,a,403,a(flip),b,12414,a)]. 12420 T(x,(y \ z) * y) = x / K(z,T(x,y)). [para(12414(a,1),5197(a,2,2))]. 12421 K(T(x,y),z * y) = K(x,y * z). [hyper(255,a,5394,a(flip),b,12412,a)]. 12422 K(x,T(y * z,z)) = K(x,z * y). [hyper(7899,a,12421,a)]. 12423 K(x,T(y * z,y)) = K(x,z * y). [hyper(8571,a,12422,a)]. 12424 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [hyper(8551,a,12422,a)]. 12427 K(x,(y \ z) * y) = K(x,T(z,y)). [para(19(a,1),12423(a,1,2,1)),flip(a)]. 12429 T(x * y,T(z,x)) \ 1 = (x * y) \ K(z,y * x). [para(12423(a,1),7581(a,2,2))]. 12430 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(12423(a,1),11113(a,1,2)),flip(a)]. 12431 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(5025(a,1),12427(a,1,2)),flip(a)]. 12432 K(T(x \ y,x) * x,y) = 1. [hyper(255,a,12419,a(flip),b,12417,a)]. 12433 x * K(T(y \ z,y) * y,z) = x. [para(12432(a,2),17(a,1,2))]. 12434 T(x,(y \ z) * y) = T(x,T(z,y)). [hyper(255,a,7594,a(flip),b,12420,a)]. 12435 T(x,T(y * z,y)) = T(x,z * y). [para(18(a,1),12434(a,1,2,1)),flip(a)]. 12444 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(255,a,10161,a(flip),b,12424,a(flip))]. 12446 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(8504,a,12430,a)]. 12449 K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. [para(12431(a,1),5403(a,1))]. 12453 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(255,a,8503,a(flip),b,12446,a(flip))]. 12459 T(K(x,y) * K(z,x),T(u,K(x,y))) \ 1 = K(x,T(z,u)) * K(y,T(x,u)). [hyper(255,a,12038,a(flip),b,12429,a)]. 12466 K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). [para(11980(a,1),12416(a,1,1,1))]. 12469 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(255,a,8436,a(flip),b,12453,a(flip))]. 12470 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(8504,a,12469,a)]. 12471 K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). [para(5845(a,2),12470(a,2,2))]. 12472 T(K(x,y) * K(y,z),u) \ 1 = K(y,T(x,u)) * K(z,T(y,u)). [para(10301(a,1),12459(a,1,1))]. 12473 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(255,a,12248,a(flip),b,12472,a(flip))]. 12474 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(12473(a,1),10284(a,1,1)),flip(a)]. 12475 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [hyper(255,a,11206,a(flip),b,12474,a(flip))]. 12481 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(10746(a,1),12475(a,1,1)),flip(a)]. 12483 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(12481(a,1),12120(a,2,1))]. 12484 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(12111(a,1),12483(a,2,1,1))]. 12486 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(7464(a,1),12484(a,1,1,1))]. 12488 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(10189(a,1),12486(a,1,1))]. 12489 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(9374(a,1),12488(a,1,1)),flip(a)]. 12490 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(80,a,12489,a(flip),b,637,a)]. 12491 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(255,a,11303,a(flip),b,12490,a(flip))]. 12492 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(10020(a,1),12491(a,2,2))]. 12493 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(255,a,10022,a(flip),b,12492,a)]. 12496 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(38,a,12493,a)]. 12497 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(12496(a,1),11372(a,1,2))]. 12498 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(10047(a,1),12497(a,1,1,2,1))]. 12499 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(467,a,12498,a),flip(a)]. 12501 R(a(x,y,x),z,u) = a(x,y,x). [hyper(22,a,10017,a(flip),b,12499,a)]. 12503 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(255,a,458,a,b,12501,a(flip)),flip(a)]. 12504 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(255,a,12109,a(flip),b,12501,a(flip)),flip(a)]. 12505 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(255,a,10302,a(flip),b,12501,a(flip))]. 12506 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(12501(a,1),122(a,1,1)),flip(a)]. 12508 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (a(u,z,u) * (K(z,u) * y)) \ (K(u * z,u) * (y * x)). [para(12501(a,1),9186(a,1,1,1)),flip(a)]. 12509 L(x,y,a(z,u,z)) = x. [para(12501(a,1),12496(a,1,3))]. 12510 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(12509(a,1),483(a,1,2))]. 12511 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(12509(a,1),425(a,1,2,1)),flip(a)]. 12514 a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). [hyper(255,a,11585,a,b,12504,a)]. 12515 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(12504(a,1),12116(a,1,2)),flip(a)]. 12516 a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). [hyper(11949,a,12514,a),flip(a)]. 12518 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5984(a,1),12505(a,1,2)),flip(a)]. 12519 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(12506(a,1),29(a,2,1)),flip(a)]. 12520 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(10017(a,1),12506(a,1,1))]. 12522 a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). [para(37(a,1),12516(a,1,2))]. 12524 (x * a(y,x,y)) * z = x * (a(y,x,y) * z). [hyper(255,a,11727,a(flip),b,12520,a)]. 12525 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(255,a,9182,a(flip),b,12515,a)]. 12527 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(10351,a,12525,a),flip(a)]. 12528 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(255,a,11059,a,b,12522,a(flip)),flip(a)]. 12529 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(255,a,11327,a(flip),b,12527,a(flip)),flip(a)]. 12530 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(255,a,12139,a(flip),b,12529,a(flip)),flip(a)]. 12534 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(255,a,12176,a(flip),b,12530,a(flip)),flip(a)]. 12536 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(255,a,11918,a(flip),b,12534,a(flip))]. 12537 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(10036(a,1),12503(a,1,1,1))]. 12539 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(255,a,11519,a(flip),b,12518,a(flip)),flip(a)]. 12540 a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). [hyper(255,a,11473,a(flip),b,12528,a(flip))]. 12541 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(255,a,12256,a,b,12540,a),flip(a)]. 12543 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(255,a,11970,a(flip),b,12536,a(flip)),flip(a)]. 12544 R(K(x,y),z,u) = K(R(x,z,u),y). [para(5911(a,1),12543(a,1,1))]. 12545 R(K(x,y),K(x,z),u) = K(x,y). [para(4610(a,1),12544(a,2,1))]. 12550 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(12544(a,1),9993(a,1,1,1,2))]. 12552 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [para(12545(a,1),122(a,1,1)),flip(a)]. 12553 L(x,K(y,z),K(y,u)) = x. [hyper(422,a,12552,a)]. 12554 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(255,a,6306,a(flip),b,12553,a(flip)),flip(a)]. 12555 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(255,a,6144,a(flip),b,12553,a(flip)),flip(a)]. 12557 (K(x,y) * K(x,z)) \ 1 = K(z,x) * K(y,x). [hyper(255,a,6108,a,b,12555,a)]. 12558 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. [para(12555(a,1),7325(a,2,1))]. 12559 K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. [hyper(255,a,6555,a(flip),b,12554,a(flip))]. 12560 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(11906,a,12550,a)]. 12561 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [para(60(a,1),12560(a,1,2))]. 12562 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(92,a,12561,a),flip(a)]. 12564 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(12561(a,1),91(a,1)),flip(b)]. 12565 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(255,a,12544,a(flip),b,12562,a(flip)),flip(a)]. 12571 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(12562(a,1),12197(a,1,2))]. 12572 T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). [para(12562(a,1),12224(a,2,1,2))]. 12573 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(7317,a,12565,a),flip(a)]. 12576 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(12544(a,1),12564(a,1))]. 12577 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(255,a,12202,a(flip),b,12571,a(flip)),flip(a)]. 12578 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(12577(a,2),12239(a,2,1)),flip(a)]. 12579 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(255,a,12241,a,b,12578,a(flip)),flip(a)]. 12581 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(12576,a,12573,a)]. 12582 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(5252(a,2),12572(a,2,1))]. 12583 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(3531(a,1),12559(a,1,2)),flip(a)]. 12584 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(255,a,5683,a(flip),b,12583,a)]. 12585 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(8605(a,1),12584(a,2,2))]. 12586 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))). [para(12585(a,1),12357(a,1,2)),flip(a)]. 12587 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(122(a,1),12537(a,1,1))]. 12588 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12524(a,1),12587(a,1,1,1))]. 12589 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(19(a,1),12588(a,1,2,1))]. 12590 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(11728(a,1),12589(a,1,1,1)),flip(a)]. 12591 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(255,a,35,a,b,12590,a)]. 12592 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(18(a,1),12591(a,1,2,2)),flip(a)]. 12593 a(x,R(y,z,u),x) = a(x,y,x). [hyper(255,a,12501,a(flip),b,12592,a(flip))]. 12595 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(12593(a,1),9169(a,1,1))]. 12596 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(12593(a,1),9189(a,1,1)),flip(a)]. 12597 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(255,a,9189,a(flip),b,12596,a)]. 12598 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(12597(a,1),12355(a,1,2))]. 12599 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [hyper(10069,a,12595,a)]. 12600 (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). [para(12599(a,2),4449(a,1,1))]. 12601 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(718(a,1),12598(a,1,2)),flip(a)]. 12603 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(12601(a,1),5182(a,2,2)),flip(a)]. 12604 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(255,a,12342,a(flip),b,12603,a(flip)),flip(a)]. 12605 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(12202(a,1),12604(a,1,1))]. 12606 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(255,a,12380,a,b,12605,a(flip))]. 12607 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(584(a,1),12606(a,2,1,2))]. 12608 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(255,a,5911,a,b,12607,a(flip)),flip(a)]. 12609 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(21(a,1),12607(a,1,1))]. 12610 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(255,a,9020,a(flip),b,12609,a(flip)),flip(a)]. 12611 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(255,a,12444,a(flip),b,12610,a(flip)),flip(a)]. 12612 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(5376(a,1),12611(a,2,1))]. 12613 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). [hyper(255,a,10565,a(flip),b,12600,a(flip)),flip(a)]. 12614 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(12607(a,1),12608(a,1,1))]. 12616 a(L(x,y,z),T(u,L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [para(37(a,2),12541(a,1,2))]. 12617 a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(9754,a,12616,a)]. 12618 a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). [hyper(255,a,12504,a(flip),b,12617,a)]. 12619 L(a(x,y,x),z,u) = a(x,y,x). [hyper(255,a,11683,a(flip),b,12618,a(flip)),flip(a)]. 12622 a(x,y * K(z,y),x) = a(x,y,x). [hyper(255,a,12505,a,b,12619,a(flip)),flip(a)]. 12624 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(12619(a,1),112(a,1,2))]. 12627 a(x,T(y,z),x) = a(x,y,x). [para(5266(a,1),12622(a,1,2)),flip(a)]. 12628 a(x,y / z,x) = a(x,z \ y,x). [para(5268(a,1),12622(a,1,2))]. 12631 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(187(a,1),12627(a,1,2)),flip(a)]. 12632 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(476(a,1),12627(a,1,2)),flip(a)]. 12635 a(x,y / (z * y),x) = a(x,z \ 1,x). [hyper(255,a,11204,a(flip),b,12628,a)]. 12636 a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). [para(11216(a,1),12635(a,1,2,2)),flip(a)]. 12637 R(x,y,a(z,u,z)) = x. [hyper(10811,a,12624,a)]. 12662 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(255,a,12631,a(flip),b,12632,a(flip)),flip(a)]. 12663 a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). [hyper(255,a,12593,a(flip),b,12662,a(flip))]. 12665 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(12663(a,1),10044(a,1,2,1)),flip(a)]. 12686 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [hyper(255,a,10044,a(flip),b,12665,a)]. 12719 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(12506(a,1),12511(a,2,1))]. 12720 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(255,a,12510,a(flip),b,12719,a)]. 12721 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(35(a,2),12720(a,2,2))]. 12722 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(12509(a,1),12721(a,1,2))]. 12723 T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(12722(a,2),12367(a,1,1,2))]. 12724 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(12506(a,1),12519(a,1,2,1))]. 12725 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(5436(a,1),12539(a,2,2))]. 12726 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(9179,a,12725,a)]. 12727 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(12619(a,1),12726(a,1,1))]. 12728 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(255,a,12628,a(flip),b,12727,a)]. 12730 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(33(a,2),12728(a,2,2))]. 12731 a(x,L(y,z,u),x) = a(x,y,x). [hyper(255,a,12619,a(flip),b,12730,a(flip))]. 12733 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(241(a,1),12731(a,1,2))]. 12734 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [para(1977(a,2),12731(a,1,2)),flip(a)]. 12735 R(x,L(y,z,u),x) = x * a(x,y,x). [para(12731(a,1),9159(a,1,2)),flip(a)]. 12736 R(x,L(y,z,u),x) = R(x,y,x). [hyper(255,a,9159,a(flip),b,12735,a)]. 12737 L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(12736(a,1),12347(a,1,2,1))]. 12738 L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. [para(12734(a,1),9366(a,1,1)),flip(a)]. 12739 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [hyper(255,a,9366,a(flip),b,12738,a)]. 12740 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(12506(a,1),12724(a,1,2))]. 12741 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(754,a,12740,a)]. 12742 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(255,a,12509,a(flip),b,12741,a(flip))]. 12744 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(19(a,1),12742(a,1,1)),flip(a)]. 12745 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(9185(a,1),12742(a,1,1))]. 12746 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(9150(a,1),12742(a,1,1))]. 12747 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(9149(a,1),12744(a,1,1))]. 12748 a(K(x \ 1,y),z,u) = a(K(x \ y,y),z,u). [para(9173(a,1),12744(a,1,1))]. 12749 a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u). [para(19(a,1),12745(a,1,1,1))]. 12750 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(255,a,12612,a,b,12747,a(flip)),flip(a)]. 12751 a(K(x,y \ x),z,u) = a(K(y,x),z,u). [hyper(255,a,12746,a(flip),b,12749,a)]. 12752 a(K(x \ y,y),z,u) = a(K(y,x),z,u). [para(5584(a,1),12751(a,1,1)),flip(a)]. 12753 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [hyper(255,a,12748,a,b,12752,a(flip)),flip(a)]. 12754 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(3312(a,1),12753(a,1,1)),flip(a)]. 12755 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(11344(a,2),12753(a,2,1)),flip(a)]. 12756 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(255,a,12201,a,b,12754,a(flip)),flip(a)]. 12757 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(12565(a,1),12754(a,2,1))]. 12758 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(255,a,6782,a(flip),b,12750,a(flip)),flip(a)]. 12759 ((x * (y \ R(y,z,u))) / ((x * (y \ R(y,z,u))) / x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [hyper(255,a,6333,a(flip),b,12750,a(flip)),flip(a)]. 12760 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(255,a,12255,a,b,12757,a(flip)),flip(a)]. 12761 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(255,a,12754,a(flip),b,12757,a(flip)),flip(a)]. 12762 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6387(a,1),12755(a,2,1))]. 12763 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(255,a,12753,a(flip),b,12762,a)]. 12764 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(11344(a,1),12763(a,1,1))]. 12765 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(255,a,12761,a(flip),b,12764,a)]. 12766 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(12756(a,1),12760(a,1,1)),flip(a)]. 12767 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(255,a,12614,a(flip),b,12766,a)]. 12768 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(255,a,12765,a(flip),b,12767,a(flip)),flip(a)]. 12769 L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(12736(a,1),12737(a,1,2,2,1))]. 12771 L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4563(a,2),12769(a,1,2))]. 12773 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4621(a,1),12771(a,1,2,2))]. 12774 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(12435(a,1),12773(a,1,2))]. 12775 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(716(a,1),12774(a,1,2)),flip(a)]. 12776 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(255,a,10085,a(flip),b,12775,a(flip)),flip(a)]. 12777 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(80,a,12776,a(flip),b,5252,a(flip))]. 12778 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(9146,a,12777,a),flip(a)]. 12779 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(255,a,11633,a(flip),b,12778,a)]. 12780 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(21(a,1),12779(a,1,1))]. 12781 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(255,a,7101,a(flip),b,12780,a(flip)),flip(a)]. 12782 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(11579(a,1),12781(a,2,3))]. 12783 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(255,a,11707,a(flip),b,12782,a)]. 12785 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(255,a,11002,a(flip),b,12783,a(flip)),flip(a)]. 12786 ((x * (L(y,z,u) \ y)) / ((x * (L(y,z,u) \ y)) / x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [hyper(255,a,6333,a(flip),b,12785,a(flip)),flip(a)]. 12787 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(21(a,1),12785(a,1,2))]. 12788 K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w). [para(12785(a,1),5605(a,1,2,1)),flip(a)]. 12789 K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). [hyper(255,a,10206,a(flip),b,12788,a)]. 12790 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [para(12789(a,1),11709(a,1,3)),flip(a)]. 12791 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [hyper(255,a,11723,a(flip),b,12790,a(flip)),flip(a)]. 12792 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(12790(a,1),9958(a,1,2))]. 12793 a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). [para(12791(a,1),11912(a,1,1))]. 12794 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(6939,a,12787,a)]. 12795 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(255,a,11019,a(flip),b,12794,a(flip)),flip(a)]. 12796 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(11582(a,1),12795(a,2,3))]. 12797 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(73(a,1),12796(a,2,3,1))]. 12800 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(12797(a,1),5605(a,1,2,1)),flip(a)]. 12801 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(255,a,10206,a(flip),b,12800,a)]. 12802 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(12801(a,1),5252(a,2,2))]. 12803 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(9970(a,1),12792(a,1,2)),flip(a)]. 12804 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(255,a,17,a(flip),b,12803,a)]. 12806 K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). [para(12804(a,1),5605(a,1,2,1)),flip(a)]. 12807 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(255,a,5605,a(flip),b,12806,a)]. 12808 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(12807(a,1),5252(a,2,2))]. 12809 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(255,a,5252,a,b,12808,a)]. 12810 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(9971(a,1),12793(a,1,1))]. 12811 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(83,a,12810,a)]. 12813 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(255,a,7105,a(flip),b,12811,a(flip)),flip(a)]. 12815 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(12813(a,1),5252(a,2,2)),flip(a)]. 12818 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(5255,a,12815,a),flip(a)]. 12819 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(12818(a,2),542(a,1,1))]. 12821 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(255,a,12802,a(flip),b,12819,a)]. 12825 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(19(a,1),12723(a,1,1,2,1)),flip(a)]. 12826 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(12825(a,1),12758(a,1,1))]. 12827 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(18(a,1),12826(a,1,2))]. 12828 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(5281,a,12827,a),flip(a)]. 12830 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(12828(a,1),12240(a,2,2))]. 12831 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(255,a,12579,a(flip),b,12830,a(flip))]. 12832 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(255,a,9527,a,b,12831,a(flip)),flip(a)]. 12833 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(8138(a,2),12832(a,2,1))]. 12834 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(9717,a,12833,a)]. 12835 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(255,a,10140,a(flip),b,12834,a(flip)),flip(a)]. 12836 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(8154(a,1),12835(a,2,1))]. 12838 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(9316(a,1),12836(a,2,1))]. 12839 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(10160,a,12838,a)]. 12842 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(255,a,10791,a(flip),b,12839,a(flip)),flip(a)]. 12844 a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). [hyper(11032,a,12636,a)]. 12845 a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). [hyper(255,a,12733,a(flip),b,12844,a(flip)),flip(a)]. 12846 a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). [para(33(a,2),12845(a,1,2,2))]. 12847 a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(5123(a,1),12846(a,1,2))]. 12848 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(255,a,11239,a(flip),b,12847,a(flip)),flip(a)]. 12849 a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). [hyper(255,a,12628,a(flip),b,12848,a),flip(a)]. 12851 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(152(a,1),12849(a,1,2,2))]. 12852 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(12851(a,1),10327(a,1,1,2))]. 12873 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(33(a,2),12471(a,1,2,2,2)),flip(a)]. 12874 (x * K(L(y,z,u) \ y,x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [para(5165(a,1),12786(a,1,1))]. 12875 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [para(18(a,1),12874(a,1,2,2))]. 12877 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(12739(a,1),12875(a,1,2))]. 12878 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(255,a,5849,a(flip),b,12877,a(flip)),flip(a)]. 12879 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(255,a,7709,a(flip),b,12878,a(flip)),flip(a)]. 12880 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(12809(a,1),12879(a,1,2,1))]. 12881 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(5491,a,12880,a)]. 12882 (x * K(y \ R(y,z,u),x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [para(5165(a,1),12759(a,1,1))]. 12883 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [para(18(a,1),12882(a,1,2,2))]. 12885 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (L(T(u,z),z,u) \ y)) \ (K(u * z,u) * (y * x)). [para(10188(a,1),12508(a,2,1))]. 12887 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (T(u,u * z) \ y)) \ (K(u * z,u) * (y * x)). [para(542(a,1),12885(a,2,1,2,1))]. 12888 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (K(u * z,u) * y) \ (K(u * z,u) * (y * x)). [para(5225(a,1),12887(a,2,1))]. 12889 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = L(x,y,K(u * z,u)). [hyper(255,a,33,a,b,12888,a)]. 12890 L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). [para(12501(a,1),12889(a,1,3))]. 12891 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [hyper(255,a,12509,a(flip),b,12890,a(flip))]. 12894 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(19(a,1),12891(a,1,3,1)),flip(a)]. 12895 L(x,y / z,K(y,z)) = x. [hyper(255,a,7635,a(flip),b,12894,a(flip))]. 12896 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(12895(a,1),5702(a,1,2)),flip(a)]. 12897 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5622,a,12896,a)]. 12898 R(K(x,y),x \ y,z) = K(x,y). [hyper(9574,a,12897,a)]. 12899 R(K(x,x * y),y,z) = K(x,x * y). [para(18(a,1),12898(a,1,2))]. 12901 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(255,a,11966,a,b,12899,a(flip)),flip(a)]. 12902 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(12899(a,1),10515(a,2,2))]. 12904 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(12901(a,1),11971(a,1,1))]. 12905 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(255,a,5252,a,b,12902,a)]. 12907 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(255,a,4903,a(flip),b,12905,a(flip)),flip(a)]. 12908 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(21(a,1),12907(a,1,2,1,2))]. 12909 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(255,a,8918,a,b,12908,a(flip)),flip(a)]. 12910 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(255,a,5252,a(flip),b,12909,a),flip(a)]. 12911 K(x,(x * y) / z) = K(x,x * (y / z)). [hyper(22,a,8718,a,b,12910,a),flip(a)]. 12912 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(22,a,5252,a(flip),b,12910,a),flip(a)]. 12913 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(6392,a,12911,a)]. 12914 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(12912(a,1),8289(a,1,1,2))]. 12915 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(12913(a,1),7208(a,1,1))]. 12916 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(255,a,8289,a(flip),b,12914,a(flip))]. 12917 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(255,a,8962,a(flip),b,12916,a(flip)),flip(a)]. 12918 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(9930,a,12917,a)]. 12919 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(255,a,7208,a(flip),b,12915,a(flip))]. 12920 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(255,a,12913,a(flip),b,12904,a)]. 12922 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(35(a,2),12920(a,2,2,2))]. 12923 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(12564,a,12922,a)]. 12924 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). [hyper(255,a,7337,a(flip),b,12586,a)]. 12925 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). [para(9253(a,1),12924(a,2,1,2))]. 12926 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). [para(7842(a,1),12925(a,2,1))]. 12927 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). [para(3315(a,1),12926(a,2,1,1))]. 12928 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). [para(6667(a,1),12927(a,2,2))]. 12929 K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(5998(a,1),12466(a,1,1))]. 12930 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(19(a,1),12929(a,1,2,2,1,2))]. 12932 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(9267(a,1),12930(a,1,2))]. 12933 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(12918(a,1),12932(a,1,2))]. 12934 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(7801(a,1),12933(a,1,2)),flip(a)]. 12935 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(255,a,5540,a(flip),b,12934,a)]. 12936 L(x,y / z,x) = L(x,z \ y,x). [hyper(255,a,11187,a(flip),b,12935,a(flip))]. 12938 L(x,(y \ z) \ z,x) = L(x,y,x). [para(70(a,1),12936(a,1,2)),flip(a)]. 12939 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(4038(a,2),12936(a,1,2))]. 12940 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(5427(a,2),12936(a,1,2))]. 12941 L(x,y * K(z,y),x) = L(x,y,x). [para(6145(a,1),12938(a,1,2)),flip(a)]. 12943 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5986(a,1),12941(a,1,2))]. 12944 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(255,a,12943,a(flip),b,12940,a(flip))]. 12946 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(255,a,12686,a(flip),b,12944,a(flip))]. 12948 L(x,R(y,z,u),x) = L(x,y,x). [para(18(a,1),12946(a,2,2))]. 12949 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(29(a,2),12939(a,2,2))]. 12950 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(255,a,12948,a(flip),b,12949,a(flip)),flip(a)]. 12952 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(12950(a,1),12883(a,1,2))]. 12953 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(255,a,5849,a(flip),b,12952,a(flip)),flip(a)]. 12954 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(12828(a,2),12953(a,1,1))]. 12955 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(255,a,10056,a(flip),b,12954,a(flip)),flip(a)]. 12977 (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(6125(a,1),9582(a,1,1,1))]. 12978 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(1990(a,1),12852(a,2,1))]. 12979 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [hyper(255,a,12637,a(flip),b,12978,a)]. 12981 ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [para(10066(a,1),12979(a,1,1))]. 12982 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(255,a,10567,a(flip),b,12981,a(flip)),flip(a)]. 12983 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(255,a,12821,a(flip),b,12982,a(flip))]. 12984 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(12983(a,2),12003(a,1,1))]. 12985 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(12983(a,2),12330(a,1,1))]. 12986 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(5829,a,12984,a)]. 12987 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (1 / u))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(4912(a,1),12986(a,1,1))]. 12988 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(5829,a,12985,a)]. 12989 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(11214(a,1),12987(a,1,2,1))]. 12990 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(255,a,12986,a(flip),b,12989,a(flip))]. 12994 (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5127(a,1),10227(a,1,2,1,2,2,2))]. 12995 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4896(a,1),12994(a,1,2,1,2,2))]. 12996 (x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8134(a,1),12995(a,1,2,1))]. 12997 (x \ 1) * (K(y,K(x \ 1,T(z,L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8839(a,1),12996(a,1,2,1,2))]. 12998 (x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7780(a,1),12997(a,1,2,1,2))]. 13000 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8456(a,1),12998(a,1,2,1))]. 13001 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5127(a,1),13000(a,1,2,2,1,2,1,2,2))]. 13002 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4896(a,1),13001(a,1,2,2,1,2,1,2))]. 13003 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8100(a,1),13002(a,1,2,2,1,2))]. 13004 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10233(a,1),13003(a,1,2,2,1,2,2))]. 13005 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7576(a,1),13004(a,1,2,2,1,2,2))]. 13007 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8444(a,1),13005(a,1,2,2,1,2))]. 13008 (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5333(a,1),13007(a,1,2,2,1))]. 13009 (x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(9708(a,2),13008(a,1,2))]. 13010 K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(255,a,9704,a(flip),b,13009,a(flip)),flip(a)]. 13011 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(1601(a,1),13010(a,1,2)),flip(a)]. 13012 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(255,a,8179,a(flip),b,13011,a)]. 13013 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1150(a,1),13012(a,1,1)),flip(a)]. 13014 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(255,a,12161,a,b,13013,a(flip)),flip(a)]. 13015 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1150(a,1),13014(a,1,1))]. 13016 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). [para(13015(a,1),12270(a,1,2))]. 13017 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(12271,a,13016,a),flip(a)]. 13018 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(255,a,8138,a,b,13017,a)]. 13019 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(255,a,11535,a(flip),b,13018,a(flip)),flip(a)]. 13020 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(255,a,8134,a,b,13019,a)]. 13021 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(11536,a,13020,a)]. 13022 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(255,a,12873,a,b,13021,a(flip)),flip(a)]. 13023 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,12010,a(flip),b,13022,a)]. 13024 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(8347,a,13023,a)]. 13025 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(13023(a,1),8347(a,1))]. 13026 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,8130,a,b,13024,a(flip)),flip(a)]. 13027 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). [hyper(255,a,12369,a,b,13026,a(flip)),flip(a)]. 13028 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(9497,a,13027,a)]. 13029 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,12842,a(flip),b,13028,a(flip)),flip(a)]. 13030 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(9468(a,1),13029(a,1,1)),flip(a)]. 13031 K(x,K(y * z,a(y,z,u))) = 1. [hyper(255,a,11109,a(flip),b,13030,a)]. 13032 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(13025,a,13031,a)]. 13035 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. [para(13032(a,1),9927(a,1,2)),flip(a)]. 13036 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(255,a,17,a(flip),b,13035,a)]. 13038 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(255,a,9565,a,b,13036,a(flip)),flip(a)]. 13039 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(12828(a,2),13038(a,1,1))]. 13040 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(255,a,12766,a,b,13039,a(flip)),flip(a)]. 13041 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(255,a,12768,a(flip),b,13040,a(flip)),flip(a)]. 13043 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(13041(a,1),12955(a,1,2))]. 13044 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(K(x,y),z * y,u). [hyper(255,a,10062,a(flip),b,13043,a(flip)),flip(a)]. 13045 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(5491,a,13044,a)]. 13047 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(255,a,12577,a(flip),b,13045,a)]. 13049 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(255,a,12881,a(flip),b,13047,a(flip))]. 13051 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(13049(a,1),12217(a,1,1,2))]. 13069 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(255,a,9965,a(flip),b,13051,a(flip))]. 13070 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(255,a,13049,a(flip),b,13069,a(flip))]. 13071 a(x,x \ 1,K(y,z)) = 1. [hyper(255,a,10530,a(flip),b,13069,a(flip))]. 13075 a(x \ 1,x,K(y,z)) = 1. [hyper(255,a,11238,a(flip),b,13071,a(flip)),flip(a)]. 13076 L(K(x,y),z,z \ 1) = K(x,y). [hyper(38,a,13075,a)]. 13077 K(x,L(y,z,z \ 1)) = K(x,y). [hyper(11622,a,13076,a)]. 13078 (1 / x) * (x * K(y,z)) = K(y,z). [hyper(3048,a,13076,a)]. 13082 L(K(x,y),1 / z,z) = K(x,y). [para(73(a,1),13076(a,1,3))]. 13090 K(x,(y \ 1) \ z) = K(x,y * z). [para(3064(a,1),13077(a,1,2)),flip(a)]. 13095 (x \ 1) * K(y,z) = x \ K(y,z). [para(13082(a,1),3208(a,1,2)),flip(a)]. 13103 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [para(13070(a,1),12983(a,2,2))]. 13107 (1 / x) \ K(y,z) != x * u | K(y,z) = u. [para(13078(a,1),86(a,1,2)),flip(b)]. 13119 (1 / x) \ K(y,z * u) = x * K(y,(z \ 1) \ u). [hyper(80,a,13090,a(flip),b,13078,a)]. 13135 (x \ K(y,z)) * K(z,y) = x \ 1. [hyper(6674,a,13095,a)]. 13163 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [para(6670(a,1),13135(a,1,1)),flip(a)]. 13208 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). [hyper(255,a,12558,a,b,13163,a(flip)),flip(a)]. 13215 x * K(y,(z \ 1) \ (z \ u)) = (1 / x) \ K(y,u). [para(19(a,1),13119(a,1,2,2)),flip(a)]. 13220 (1 / x) \ K(y,T(z * u,w)) = x * K(y,T((z \ 1) \ u,w)). [para(923(a,1),13215(a,1,2,2)),flip(a)]. 13235 K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. [hyper(41,a,13208,a)]. 13236 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [hyper(255,a,12928,a,b,13235,a(flip)),flip(a)]. 13237 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. [para(12557(a,2),13235(a,1,2))]. 13238 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1 \ 1. [para(13237(a,1),1535(a,1,1)),flip(a)]. 13239 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. [hyper(255,a,60,a(flip),b,13238,a)]. 13241 L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). [para(13239(a,1),3308(a,1,1,2))]. 13258 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [hyper(13107,a,13220,a),flip(a)]. 13259 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(255,a,12287,a,b,13258,a(flip)),flip(a)]. 13272 K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(11767(a,1),13236(a,1,1))]. 13273 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(13272(a,1),12361(a,1,2)),flip(a)]. 13276 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(59(a,1),13259(a,1,2)),flip(a)]. 13277 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(255,a,5842,a(flip),b,13276,a)]. 13278 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(255,a,10992,a(flip),b,13277,a)]. 13280 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(255,a,8772,a(flip),b,13278,a)]. 13281 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(19(a,1),13280(a,1,2,1,1,1)),flip(a)]. 13282 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(9445,a,13281,a),flip(a)]. 13283 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(12449,a,13282,a)]. 13284 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(255,a,9896,a(flip),b,13282,a(flip)),flip(a)]. 13285 K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). [hyper(255,a,11741,a(flip),b,13283,a(flip))]. 13286 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(18(a,1),13284(a,1,2,1,1)),flip(a)]. 13287 K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). [hyper(255,a,9297,a,b,13286,a(flip)),flip(a)]. 13288 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(13285(a,1),7208(a,1,1))]. 13293 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). [hyper(255,a,12585,a(flip),b,13273,a)]. 13295 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(6125(a,1),13293(a,1,2,1))]. 13296 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). [para(11767(a,1),13295(a,1,2))]. 13297 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [para(13296(a,1),73(a,1,1))]. 13298 (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(13297(a,1),3567(a,1,1,1))]. 13300 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(255,a,9298,a(flip),b,13287,a(flip))]. 13301 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(7899,a,13300,a)]. 13303 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(255,a,10623,a(flip),b,13301,a(flip))]. 13305 K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). [para(127(a,1),13303(a,1,2,1,1,2))]. 13306 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(255,a,9448,a(flip),b,13305,a(flip))]. 13307 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(9271,a,13306,a)]. 13308 K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). [hyper(255,a,5817,a(flip),b,13307,a)]. 13309 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(73(a,1),13308(a,2,2,1,1))]. 13310 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(255,a,11968,a(flip),b,13309,a),flip(a)]. 13312 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(13310(a,2),7208(a,1,1))]. 13313 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(255,a,7213,a(flip),b,13312,a(flip)),flip(a)]. 13314 K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(255,a,7208,a(flip),b,13288,a(flip))]. 13315 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(255,a,12919,a(flip),b,13314,a(flip))]. 13316 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(70(a,1),13315(a,2,2,2))]. 13317 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(255,a,13313,a,b,13316,a(flip)),flip(a)]. 13319 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(12565(a,1),13317(a,1,1))]. 13320 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(12564,a,13319,a)]. 13321 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(255,a,12565,a(flip),b,13320,a)]. 13322 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(255,a,12581,a(flip),b,13321,a(flip))]. 13324 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(255,a,12923,a(flip),b,13322,a(flip))]. 13325 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(13324(a,2),5263(a,2,1)),flip(a)]. 13326 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(5264,a,13325,a)]. 13327 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [hyper(255,a,12613,a,b,13326,a),flip(a)]. 13328 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(255,a,10558,a(flip),b,13327,a(flip)),flip(a)]. 13329 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(255,a,12582,a,b,13328,a(flip)),flip(a)]. 13331 L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(3506(a,2),13328(a,2,2,1))]. 13332 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(13069(a,1),13329(a,1,2))]. 13371 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). [para(17(a,1),13241(a,1,1)),flip(a)]. 13372 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). [para(12555(a,1),13371(a,2,3))]. 13373 (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(12555(a,1),13372(a,1,1))]. 13374 (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(12552(a,1),13373(a,1,2))]. 13375 K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)). [hyper(255,a,11507,a(flip),b,13374,a(flip)),flip(a)]. 13376 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(5608(a,1),13375(a,1,2)),flip(a)]. 13377 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(255,a,5608,a(flip),b,13376,a)]. 13380 L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(11936(a,1),13331(a,1,1))]. 13420 L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(73(a,1),13380(a,1,1,2,1,2,1))]. 13421 L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [para(10621(a,1),13420(a,1,1))]. 13422 L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [hyper(255,a,10661,a(flip),b,13421,a(flip)),flip(a)]. 13424 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x). [para(73(a,1),13422(a,1,2,2,1)),flip(a)]. 13425 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(255,a,10693,a(flip),b,13424,a)]. 13427 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(255,a,13328,a(flip),b,13425,a)]. 13428 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(19(a,1),13427(a,2,2,1))]. 13429 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(3506(a,1),13428(a,1,2,1))]. 13438 (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(12585(a,1),13298(a,1,1))]. 13439 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(13297(a,1),13438(a,1,2,2))]. 13440 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(8798(a,1),13439(a,1,2))]. 13441 (x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(10662(a,1),13440(a,1,2))]. 13442 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(13377(a,1),13441(a,1,2)),flip(a)]. 13443 ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(13297(a,1),13442(a,1,1,1,1))]. 13444 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12585(a,1),13443(a,1,1,1))]. 13445 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(13297(a,1),13444(a,1,1)),flip(a)]. 13446 L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(13445(a,1),9292(a,1,1))]. 13447 L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(8888(a,1),13446(a,1,2))]. 13448 L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [hyper(255,a,10665,a(flip),b,13447,a(flip)),flip(a)]. 13449 L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(5225(a,1),13448(a,1,2))]. 13450 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(255,a,11515,a(flip),b,13449,a(flip))]. 13452 (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(13450(a,1),12977(a,1,1))]. 13453 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z). [para(5875(a,1),13452(a,1,1,1)),flip(a)]. 13454 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),x * z). [para(5805(a,1),13453(a,2,2))]. 13455 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),x * z). [para(6403(a,1),13454(a,2,2))]. 13456 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(x \ (x * z),T(x * z,y)). [para(8986(a,1),13455(a,2,2))]. 13457 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). [para(18(a,1),13456(a,2,2,1))]. 13458 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)). [hyper(255,a,6618,a(flip),b,13457,a)]. 13460 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(255,a,9279,a(flip),b,13458,a)]. 13461 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(6125(a,1),13460(a,1,1,1))]. 13462 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(13450(a,1),13461(a,1,1))]. 13463 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5875(a,1),13462(a,1,1,1))]. 13464 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(255,a,4897,a(flip),b,13463,a(flip)),flip(a)]. 13465 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(4563(a,1),13464(a,2,1))]. 13466 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(12801(a,1),13465(a,2,2))]. 13467 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(12801(a,1),13466(a,1,1,1))]. 13468 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(255,a,13332,a(flip),b,13467,a)]. 13469 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(10629(a,1),13468(a,1,1))]. 13470 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(13103(a,2),13469(a,1,1))]. 13471 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(5831,a,13470,a)]. 13472 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(255,a,12988,a(flip),b,13471,a(flip))]. 13473 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(255,a,13429,a(flip),b,13472,a(flip))]. 13474 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(9892(a,1),13473(a,1,2,1))]. 13475 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(255,a,12990,a(flip),b,13474,a(flip)),flip(a)]. 13476 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(5184(a,2),13475(a,1,2,1,2))]. 13477 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(12433(a,1),13476(a,1,2,1)),flip(a)]. 13479 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(80,a,13477,a(flip),b,5252,a(flip))]. 13481 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(5325,a,13479,a),flip(a)]. 13483 L(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(255,a,11600,a,b,13481,a),flip(a)]. 13489 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(255,a,12562,a,b,13483,a),flip(a)]. 13490 $F # answer("RKLK 1"). [resolve(13489,a,54,a)]. ============================== end of proof ========================== % Disable descendants (x means already disabled): 54 given #12033 (H,wt=13): 13489 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(255,a,12562,a,b,13483,a),flip(a)]. given #12034 (H,wt=13): 13491 L(K(x,y),z,y) != u | K(x,y) = u. [para(13483(a,2),7483(a,1))]. given #12035 (H,wt=13): 13495 R(K(x,y),y,z) != u | K(x,y) = u. [para(13489(a,2),8037(a,1))]. given #12036 (H,wt=15): 13480 x / T(x,L(y,z,u)) = K(R(y,z,u),x). [para(13477(a,1),5182(a,2,2)),flip(a)]. given #12037 (H,wt=13): 13500 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(5289,a,13480,a),flip(a)]. given #12038 (H,wt=16): 13501 K(R(x,y,z),u) != w | K(L(x,y,z),u) = w. [para(13480(a,1),5289(a,1))]. given #12039 (H,wt=16): 13504 K(x,y) != z | K(L(x,a(u,w,u),v5),y) = z. [para(12695(a,1),13501(a,1,1))]. given #12040 (H,wt=17): 13493 L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(255,a,6204,a(flip),b,13489,a(flip))]. given #12041 (H,wt=17): 13506 K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u). [hyper(6468,a,13493,a),flip(a)]. given #12042 (H,wt=18): 13485 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(253(a,1),13481(a,1,2)),flip(a)]. given #12043 (H,wt=18): 13492 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [hyper(255,a,7214,a(flip),b,13489,a(flip))]. given #12044 (H,wt=18): 13505 K(L(x,a(y,z,y),u),w) = K(a(v5,v6,v5) * x,w). [hyper(13504,a,12716,a(flip))]. given #12045 (H,wt=15): 13510 K(a(x,y,x) * z,u) != w | K(z,u) = w. [para(13505(a,1),11654(a,1))]. given #12046 (H,wt=15): 13512 K(x * a(y,z,y),u) != w | K(x,u) = w. [para(10017(a,1),13510(a,1,1))]. given #12047 (H,wt=16): 13511 K(T(x * y,x),z) != u | K(y * x,z) = u. [para(9169(a,1),13510(a,1,1))]. given #12048 (H,wt=16): 13513 K(T(x,y) / y,z) != u | K(y \ x,z) = u. [para(9175(a,1),13512(a,1,1))]. given #12049 (H,wt=16): 13514 K(x / T(y,x),z) != u | K(y \ x,z) = u. [para(4456(a,1),13513(a,1,1))]. given #12050 (H,wt=20): 13486 K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). [para(589(a,1),13481(a,1,2)),flip(a)]. given #12051 (H,wt=21): 13515 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). [para(445(a,1),13486(a,1,2)),flip(a)]. given #12052 (H,wt=22): 13496 (K(x,T(y,z)) * u) * (u \ z) = z * L(K(x,y),u,u \ z). [para(13489(a,1),8303(a,2,2))]. given #12053 (H,wt=23): 13487 ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). [para(13481(a,1),463(a,1,2))]. given #12054 (H,wt=20): 13517 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [para(13178(a,1),13487(a,1,2))]. given #12055 (H,wt=19): 13518 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [hyper(6890,a,13517,a)]. given #12056 (H,wt=23): 13507 (x \ K(L(y,z,u) \ 1,w)) \ (x \ 1) = K(w,R(y,z,u) \ 1). [para(13506(a,1),13145(a,1,1,2))]. given #12057 (H,wt=17): 13520 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [hyper(6796,a,13507,a),flip(a)]. given #12058 (H,wt=24): 13497 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(13489(a,1),13256(a,1,1))]. given #12059 (H,wt=24): 13508 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(13485(a,1),9102(a,2,2))]. given #12060 (H,wt=24): 13522 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(6494,a,13497,a)]. given #12061 (H,wt=25): 13516 (x * K(y,z)) * a(y,u,K(x / u,z)) = x * L(K(y,z),u,u \ x). [hyper(255,a,13333,a,b,13496,a(flip)),flip(a)]. given #12062 (H,wt=17): 13525 a(x \ y,x,K(z,u)) = a(u,x,K(y / x,z)). [hyper(9961,a,13516,a)]. given #12063 (H,wt=17): 13526 a(x,y,K((y * z) / y,u)) = a(z,y,K(u,x)). [para(18(a,1),13525(a,1,1)),flip(a)]. given #12064 (H,wt=15): 13528 a(x,y,K(z,T(u,y))) = a(z,y,K(u,x)). [para(8253(a,1),13526(a,1,3))]. given #12065 (H,wt=26): 13519 ((x * y) * z) \ ((x * y) * R(z,x,y)) = (z * (x * y)) \ ((z * x) * y). [para(13518(a,1),11527(a,1,2))]. given #12066 (H,wt=22): 13529 (x * (y * z)) \ ((x * y) * z) = a(x * K(y * z,x),y,z). [hyper(7365,a,13519,a),flip(a)]. given #12067 (H,wt=15): 13530 a(x * K(y * z,x),y,z) = a(x,y,z). [hyper(636,a,13529,a),flip(a)]. given #12068 (H,wt=19): 13531 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [para(13530(a,1),7364(a,1,2))]. given #12069 (H,wt=26): 13523 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(13193(a,1),13508(a,1,2))]. given #12070 (H,wt=28): 13521 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(685(a,1),13520(a,1,2,1)),flip(a)]. given #12071 (H,wt=28): 13533 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [hyper(255,a,7550,a(flip),b,13521,a)]. given #12072 (H,wt=26): 13534 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [hyper(255,a,10008,a(flip),b,13533,a)]. given #12073 (H,wt=23): 13535 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [hyper(6897,a,13534,a),flip(a)]. given #12074 (H,wt=30): 13488 K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(13481(a,1),9997(a,1,2))]. given #12075 (H,wt=31): 13509 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). [hyper(255,a,7562,a(flip),b,13492,a(flip)),flip(a)]. given #12076 (H,wt=31): 13524 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(y,L(z,u,x))) = u * T(x,K(y,z) * u). [hyper(255,a,11679,a,b,13522,a(flip)),flip(a)]. given #12077 (H,wt=24): 13538 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(12026(a,1),13524(a,1,1))]. given #12078 (H,wt=24): 13539 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(8193(a,1),13538(a,1,1,2))]. given #12079 (H,wt=25): 13540 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(80,a,12976,a,b,13539,a(flip))]. given #12080 (H,wt=29): 13541 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(8376(a,2),13540(a,1,2,2))]. given #12081 (H,wt=29): 13542 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(9130(a,2),13541(a,1,2))]. given #12082 (H,wt=31): 13536 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [hyper(255,a,12677,a(flip),b,13535,a)]. given #12083 (H,wt=27): 13544 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(19(a,1),13536(a,1,2,1,2))]. given #12084 (H,wt=33): 13532 ((K(x,y) * z) * u) * a(u,z,K(x,T(y,z))) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(7559(a,1),13531(a,1,1,1))]. given #12085 (H,wt=31): 13545 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(13528(a,1),13532(a,1,2))]. given #12086 (H,wt=24): 13546 (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). [hyper(255,a,13226,a(flip),b,13545,a(flip))]. given #12087 (H,wt=22): 13547 (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). [para(7559(a,1),13546(a,1,1))]. given #12088 (H,wt=20): 13549 (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). [para(10903(a,1),13547(a,1,2))]. -------- Proof 5 -------- "RKLK 3". ============================== PROOF ================================= % Proof 5 at 1200.23 (+ 46.66) seconds: "RKLK 3". % Length of proof is 10203. % Level of proof is 470. % Maximum clause weight is 65.000. % Given clauses 12088 (25.719 givens/level). 1 x * y = u & x * z = u -> y = z # label(non_clause). [assumption]. 2 y * x = u & z * x = u -> y = z # label(non_clause). [assumption]. 3 x * y = x * z -> y = z # label(non_clause). [assumption]. 4 y * x = z * x -> y = z # label(non_clause). [assumption]. 5 a(x,y,z) = 1 -> L(z,y,x) = z # label(non_clause). [assumption]. 6 L(x,y,z) = x -> a(z,y,x) = 1 # label(non_clause). [assumption]. 7 T(x,y) = x -> T(y,x) = y # label(non_clause). [assumption]. 8 T(x,y) = x -> K(x,y) = 1 # label(non_clause). [assumption]. 9 K(x,y) = 1 -> T(x,y) = x # label(non_clause). [assumption]. 14 R(x,y,K(z,u)) = L(x,y,K(z,u)) # label("RKLK 3") # label(non_clause) # label(goal). [goal]. 16 1 * x = x. [assumption]. 17 x * 1 = x. [assumption]. 18 x \ (x * y) = y. [assumption]. 19 x * (x \ y) = y. [assumption]. 20 (x * y) / y = x. [assumption]. 21 (x / y) * y = x. [assumption]. 22 x * y != z | x * u != z | u = y. [clausify(1)]. 23 x * y != z | u * y != z | u = x. [clausify(2)]. 24 x * y != x * z | y = z. [clausify(3)]. 25 x * y != z * y | x = z. [clausify(4)]. 26 x != y | z * x = z * y. [assumption]. 27 x != y | x * z = y * z. [assumption]. 28 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 29 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(28),flip(a)]. 30 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 31 K(x,y) = (y * x) \ (x * y). [copy(30),flip(a)]. 32 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 33 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(32),flip(a)]. 34 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 35 R(x,y,z) = ((x * y) * z) / (y * z). [copy(34),flip(a)]. 36 x \ (y * x) = T(y,x). [assumption]. 37 T(x,y) = y \ (x * y). [copy(36),flip(a)]. 38 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 39 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 40 T(x,y) != x | T(y,x) = y. [clausify(7)]. 41 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 42 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 43 T(T(x,y),z) = T(T(x,z),y) # label("AIM-TT condition"). [assumption]. 44 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 45 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(44),flip(a)]. 46 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 47 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(46),flip(a)]. 48 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 49 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(48),flip(a)]. 50 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 51 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 56 R(c17,c18,K(c19,c20)) != L(c17,c18,K(c19,c20)) # label("RKLK 3") # answer("RKLK 3"). [deny(14)]. 58 x * (1 * 1) = x. [para(16(a,2),17(a,1,2))]. 59 1 \ x = x. [para(16(a,1),18(a,1,2))]. 60 x \ x = 1. [para(17(a,1),18(a,1,2))]. 61 x \ (x * (y \ (y * z))) = z. [para(18(a,2),18(a,1))]. 62 (x * (x \ 1)) * y = y. [para(19(a,2),16(a,1,1))]. 63 x * (x \ (1 * y)) = y. [para(19(a,2),16(a,1))]. 64 x * (y * (y \ 1)) = x. [para(19(a,2),17(a,1,2))]. 65 x \ (y * (y \ (x * z))) = z. [para(19(a,2),18(a,1,2))]. 66 x * (y * (y \ (x \ z))) = z. [para(19(a,2),19(a,1,2))]. 67 x / x = 1. [para(16(a,1),20(a,1,1))]. 68 x / 1 = x. [para(17(a,1),20(a,1,1))]. 69 x * (((x \ y) * z) / z) = y. [para(20(a,2),19(a,1,2))]. 70 x / (y \ x) = y. [para(19(a,1),20(a,1,1))]. 71 ((1 / x) * x) * y = y. [para(21(a,2),16(a,1,1))]. 72 x * ((1 / y) * y) = x. [para(21(a,2),17(a,1,2))]. 73 (x / y) \ x = y. [para(21(a,1),18(a,1,2))]. 74 x \ (((x * y) / z) * z) = y. [para(21(a,2),18(a,1,2))]. 75 (x \ (x * (y / z))) * z = y. [para(18(a,2),21(a,1,1))]. 76 ((x * (x \ y)) / z) * z = y. [para(21(a,2),19(a,1))]. 77 (((x * y) / z) * z) / y = x. [para(21(a,2),20(a,1,1))]. 78 (((x / y) / z) * z) * y = x. [para(21(a,2),21(a,1,1))]. 79 x != y | 1 * z != y | z = x. [para(16(a,1),22(a,1))]. 80 x != y | z * u != y | z \ x = u. [para(19(a,1),22(a,1)),flip(c)]. 81 x != y | z * u != y | x / u = z. [para(21(a,1),23(a,1)),flip(c)]. 82 1 * x != y | y = x. [para(16(a,1),24(a,1)),flip(a)]. 83 1 * x != y | x = y. [para(16(a,1),24(a,2))]. 84 x * y != x | 1 = y. [para(17(a,1),24(a,1)),flip(a)]. 85 (x * y) * 1 != x * z | z = y. [para(17(a,2),24(a,2)),flip(a)]. 86 x \ (x * (y * z)) != y * u | u = z. [para(18(a,2),24(a,2)),flip(a)]. 87 x * y != z | x \ z = y. [para(19(a,1),24(a,1)),flip(a)]. 88 x * (x \ (y * z)) != y * u | u = z. [para(19(a,2),24(a,2)),flip(a)]. 89 (x / y) * z != x | z = y. [para(21(a,1),24(a,2))]. 91 x * 1 != y | y = x. [para(17(a,1),25(a,1)),flip(a)]. 92 x * 1 != y | x = y. [para(17(a,1),25(a,2))]. 93 x \ (x * (y * z)) != u * z | u = y. [para(18(a,2),25(a,2)),flip(a)]. 94 x * (y \ z) != z | x = y. [para(19(a,1),25(a,2))]. 95 ((x * y) * z) / z != u * y | u = x. [para(20(a,2),25(a,2)),flip(a)]. 96 x * y != z | z / y = x. [para(21(a,1),25(a,1)),flip(a)]. 97 x * (y * (y \ z)) = x * z. [hyper(26,a,19,a)]. 98 ((x / y) * y) * z = x * z. [hyper(27,a,21,a)]. 99 (x * (x \ y)) * z = y * z. [hyper(27,a,19,a)]. 100 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(29(a,2),19(a,1,2))]. 101 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(19(a,1),29(a,2,2,1)),flip(a)]. 102 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(21(a,1),29(a,2,1,2)),flip(a)]. 103 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(21(a,1),29(a,2,2,1)),flip(a)]. 104 (x * y) * K(y,x) = y * x. [para(31(a,2),19(a,1,2))]. 105 x \ ((y \ x) * y) = K(y \ x,y). [para(19(a,1),31(a,2,1)),flip(a)]. 106 ((x \ y) * x) \ y = K(x,x \ y). [para(19(a,1),31(a,2,2)),flip(a)]. 107 x \ (y * (x / y)) = K(y,x / y). [para(21(a,1),31(a,2,1)),flip(a)]. 108 (x * (y / x)) \ y = K(y / x,x). [para(21(a,1),31(a,2,2)),flip(a)]. 109 x \ (1 * (x * y)) = L(y,x,1). [para(16(a,1),33(a,2,1)),flip(a)]. 110 (x * 1) \ (x * y) = L(y,1,x). [para(16(a,1),33(a,2,2,2)),flip(a)]. 111 (x * y) \ (x * y) = L(1,y,x). [para(17(a,1),33(a,2,2,2)),flip(a)]. 112 (x * y) * L(z,y,x) = x * (y * z). [para(33(a,2),19(a,1,2))]. 113 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(19(a,1),33(a,2,1)),flip(a)]. 114 L(x \ y,x,z) = (z * x) \ (z * y). [para(19(a,1),33(a,2,2,2))]. 115 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(21(a,1),33(a,2,1)),flip(a)]. 116 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(21(a,1),33(a,2,2,2))]. 117 (x * y) / (x * y) = R(1,x,y). [para(16(a,1),35(a,2,1,1)),flip(a)]. 118 ((x * 1) * y) / y = R(x,1,y). [para(16(a,1),35(a,2,2)),flip(a)]. 119 (x * y) / (y * 1) = R(x,y,1). [para(17(a,1),35(a,2,1)),flip(a)]. 120 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(19(a,1),35(a,2,1,1))]. 121 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(19(a,1),35(a,2,1))]. 122 R(x,y,z) * (y * z) = (x * y) * z. [para(35(a,2),21(a,1,1))]. 123 R(x / y,y,z) = (x * z) / (y * z). [para(21(a,1),35(a,2,1,1))]. 124 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(21(a,1),35(a,2,2)),flip(a)]. 125 T(1,x) = x \ x. [para(16(a,1),37(a,2,2))]. 126 T(x,x) = x. [para(37(a,2),18(a,1))]. 127 x * T(y,x) = y * x. [para(37(a,2),19(a,1,2))]. 128 T(x,x \ y) = (x \ y) \ y. [para(19(a,1),37(a,2,2))]. 129 T(x / y,y) = y \ x. [para(21(a,1),37(a,2,2))]. 130 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(47(a,2),43(a,1,1)),flip(a)]. 131 x \ (1 \ (x * y)) = y. [hyper(22,a,19,a,b,59,a(flip)),flip(a)]. 132 (x * (x \ 1)) \ y = y. [para(19(a,2),59(a,1,1))]. 133 ((1 / x) * x) \ y = y. [para(21(a,2),59(a,1,1))]. 135 x / (y * (y \ 1)) = x. [para(19(a,2),68(a,1,2))]. 136 x / ((1 / y) * y) = x. [para(21(a,2),68(a,1,2))]. 137 T(T(x,y),x) = T(x,y). [para(126(a,1),43(a,1,1)),flip(a)]. 138 T(L(x,y,z),x) = L(x,y,z). [para(126(a,1),45(a,1,1)),flip(a)]. 139 x \ x = 1 * 1. [hyper(22,a,19,a,b,58,a),flip(a)]. 140 (x / (y \ x)) * z = y * z. [hyper(27,a,70,a)]. 141 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(29(a,2),70(a,1,2))]. 142 (x * y) / K(x,y) = y * x. [para(31(a,2),70(a,1,2))]. 143 (x * (y * z)) / L(z,y,x) = x * y. [para(33(a,2),70(a,1,2))]. 144 (x * y) / T(x,y) = y. [para(37(a,2),70(a,1,2))]. 145 x / (y / ((z \ x) \ y)) = z. [para(70(a,2),70(a,1,2))]. 146 ((x / y) \ x) * z = y * z. [hyper(27,a,73,a)]. 147 (x / (1 * y)) \ x = y. [hyper(22,a,16,a,b,73,a(flip)),flip(a)]. 148 x * ((y / (x \ z)) \ y) = z. [para(73(a,2),19(a,1,2))]. 149 R(x,y,z) \ ((x * y) * z) = y * z. [para(35(a,2),73(a,1,1))]. 150 ((x / (y / z)) \ x) \ y = z. [para(73(a,2),73(a,1,1))]. 151 T(1,x) = 1. [para(125(a,2),60(a,1))]. 152 K(1,x) = 1. [hyper(41,a,151,a)]. 153 T(x,1) = x. [hyper(40,a,151,a)]. 155 K(x,1) = 1. [hyper(41,a,153,a)]. 157 x \ x != y | 1 = y. [para(139(a,2),82(a,1)),flip(b)]. 158 ((1 / x) * x) * y != z | y = z. [para(21(a,2),83(a,1,1))]. 159 x * (y * (y \ 1)) != z | z = x. [para(19(a,2),91(a,1,2))]. 160 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(62(a,1),35(a,2,1))]. 161 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(64(a,1),29(a,2,1)),flip(a)]. 162 L(x \ 1,x,y) = (y * x) \ y. [para(64(a,1),33(a,2,2))]. 163 R(1 / x,x,y) = y / (x * y). [para(71(a,1),35(a,2,1))]. 164 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(72(a,1),29(a,2,1)),flip(a)]. 165 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(72(a,1),33(a,2,2))]. 166 T((x * y) / x,x) = y. [hyper(22,a,21,a(flip),b,127,a)]. 167 (x * T(y,x)) / x = y. [hyper(23,a,21,a,b,127,a(flip)),flip(a)]. 168 x \ (y * T(x,y)) = y. [hyper(22,a,19,a,b,127,a(flip)),flip(a)]. 169 (x \ y) * T(x,x \ y) = y. [para(127(a,2),19(a,1))]. 170 x * (y * (y \ T(z,x))) = z * x. [para(19(a,2),127(a,1,2))]. 171 x * T(y / x,x) = y. [para(127(a,2),21(a,1))]. 172 x * y != z | y * u != z | T(x,y) = u. [para(127(a,1),22(a,1)),flip(c)]. 173 x * y != z * x | T(z,x) = y. [para(127(a,1),24(a,1)),flip(a)]. 174 x * T(y,x) != z * x | z = y. [para(127(a,2),25(a,2)),flip(a)]. 175 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(127(a,1),29(a,2,1,2)),flip(a)]. 176 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(127(a,1),29(a,2,2,1)),flip(a)]. 177 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(127(a,1),31(a,2,1)),flip(a)]. 178 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(127(a,1),33(a,2,1)),flip(a)]. 179 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(127(a,1),33(a,2,2,2)),flip(a)]. 180 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(127(a,1),35(a,2,1,1)),flip(a)]. 181 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(127(a,1),35(a,2,2)),flip(a)]. 182 x * T(T(y,x),z) = T(y,z) * x. [para(43(a,1),127(a,1,2))]. 183 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(45(a,2),127(a,1,2))]. 184 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(47(a,2),127(a,1,2))]. 185 T(T(x / y,z),y) = T(y \ x,z). [para(129(a,1),43(a,1,1)),flip(a)]. 186 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(129(a,1),45(a,1,1)),flip(a)]. 187 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(129(a,1),47(a,1,1)),flip(a)]. 188 T(x / (x / y),x / y) = y. [para(129(a,2),73(a,1))]. 189 K(x \ 1,x) = (x \ 1) * x. [para(132(a,1),31(a,2))]. 190 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(132(a,1),33(a,2)),flip(a)]. 191 K(x,1 / x) = x * (1 / x). [para(133(a,1),31(a,2))]. 192 (1 / x) * (x * y) = L(y,x,1 / x). [para(133(a,1),33(a,2)),flip(a)]. 193 (x * y) * (y \ 1) = R(x,y,y \ 1). [para(135(a,1),35(a,2)),flip(a)]. 194 (x * (1 / y)) * y = R(x,1 / y,y). [para(136(a,1),35(a,2)),flip(a)]. 195 K(T(x,y),x) = 1. [hyper(41,a,137,a)]. 196 T(x,T(x,y)) = x. [hyper(40,a,137,a)]. 197 T(T(T(x,y),z),x) = T(T(x,y),z). [para(137(a,1),43(a,1,1)),flip(a)]. 198 T(x,y) * x = x * T(x,y). [para(137(a,1),127(a,1,2)),flip(a)]. 199 x / T(y,y \ x) = y \ x. [para(19(a,1),144(a,1,1))]. 200 (T(x,y) * z) / T(T(x,z),y) = z. [para(43(a,1),144(a,1,2))]. 201 (x / (1 * y)) * y = x. [para(147(a,1),19(a,1,2))]. 202 T(T((x * y) / x,z),x) = T(y,z). [para(166(a,1),43(a,1,1)),flip(a)]. 203 K(x,(y * x) / y) = 1. [para(166(a,1),195(a,1,1))]. 204 T((x * y) / x,y) = (x * y) / x. [para(166(a,1),196(a,1,2))]. 205 (x * T(T(y,x),z)) / x = T(y,z). [para(43(a,1),167(a,1,1,2))]. 206 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(45(a,2),168(a,1,2,2))]. 207 T(x,(y * x) / y) = x. [hyper(42,a,203,a)]. 208 x * K(y,z) != y * z | z * y = x. [para(31(a,2),94(a,1,2)),flip(b)]. 209 x * L(y,z,u) != u * (z * y) | u * z = x. [para(33(a,2),94(a,1,2)),flip(b)]. 211 x != y | y / 1 = x. [para(17(a,1),96(a,1))]. 212 (x / y) \ x = y / 1. [hyper(211,a,73,a),flip(a)]. 213 x * (x \ y) = y / 1. [hyper(211,a,19,a),flip(a)]. 214 x / 1 = 1 * x. [hyper(211,a,16,a)]. 215 x / 1 != y | y = x. [para(214(a,2),82(a,1))]. 216 x / 1 != y | x = y. [para(214(a,2),83(a,1))]. 217 x / (y * (y \ 1)) != z | z = x. [para(19(a,2),215(a,1,2))]. 218 x / ((1 / y) * y) != z | z = x. [para(21(a,2),215(a,1,2))]. 219 (x / y) \ x != z | z = y. [para(212(a,2),215(a,1))]. 220 x * (x \ y) != z | z = y. [para(213(a,2),215(a,1))]. 221 (x / y) \ x = z * (z \ y). [para(213(a,2),212(a,2))]. 222 x \ (x * y) != z | z = y. [para(20(a,1),219(a,1,1))]. 223 x \ (y * x) != z | T(y,x) = z. [para(144(a,1),219(a,1,1)),flip(b)]. 224 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(33(a,2),220(a,1,2)),flip(b)]. 225 x * T(y,x) != z | y * x = z. [para(37(a,2),220(a,1,2)),flip(b)]. 226 (x / y) * y != z | z = x. [para(73(a,1),220(a,1,2))]. 227 (x * (x \ 1)) \ y != z | z = y. [para(62(a,1),220(a,1))]. 228 ((1 / x) * x) \ y != z | z = y. [para(71(a,1),220(a,1))]. 229 x * y != z | y * T(x,y) = z. [para(168(a,1),220(a,1,2)),flip(b)]. 230 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(35(a,2),226(a,1,1)),flip(b)]. 231 x \ (y * (y \ x)) = 1. [para(17(a,1),65(a,1,2,2,2))]. 232 (x / y) \ (z * (z \ x)) = y. [para(21(a,1),65(a,1,2,2,2))]. 233 x \ ((x * y) * L(z,y,x)) = y * z. [para(33(a,2),65(a,1,2,2))]. 234 x * (x \ y) = y * 1. [para(231(a,1),19(a,1,2)),flip(a)]. 235 x * 1 != y * z | y \ x = z. [para(234(a,1),24(a,1))]. 237 (x / y) * y = x * 1. [para(73(a,1),234(a,1,2))]. 239 x * 1 != y * z | x / z = y. [para(237(a,1),25(a,1))]. 240 (x / y) * y = z * (z \ x). [para(237(a,2),234(a,2)),flip(a)]. 241 L(x \ (y \ z),x,y) = (y * x) \ z. [para(66(a,1),33(a,2,2))]. 242 x * (x \ (y * z)) = y * (u * (u \ z)). [para(65(a,1),66(a,1,2,2,2)),flip(a)]. 243 ((1 * x) / y) \ x = y. [para(74(a,1),131(a,1,2))]. 246 ((x * (x \ y)) / z) \ y = z. [hyper(87,a,76,a)]. 247 (x / y) * y = 1 * x. [para(63(a,1),76(a,1,1,1))]. 248 1 * x != y * z | x / z = y. [para(247(a,1),25(a,1))]. 249 (x / ((y / z) * z)) * y = x. [para(247(a,2),201(a,1,1,2))]. 250 (((x / y) * y) / z) \ x = z. [para(247(a,2),243(a,1,1,1))]. 251 ((x / y) * y) / z = x / z. [para(21(a,1),77(a,1,1,1,1))]. 252 (R(x,y,z) * (y * z)) / z = x * y. [para(35(a,2),77(a,1,1,1))]. 253 R((x / y) / z,z,y) = x / (z * y). [para(78(a,1),35(a,2,1))]. 254 ((x / y) * y) * (x \ z) = z. [para(70(a,1),78(a,1,1,1,1))]. 255 x != y | z != y | z = x. [para(16(a,1),79(b,1))]. 256 (x * y) / y = z / (x \ z). [hyper(255,a,70,a,b,20,a)]. 257 x / (y \ x) = z * (z \ y). [hyper(255,a,70,a,b,19,a),flip(a)]. 258 (x * y) / y = (x / z) * z. [hyper(255,a,21,a,b,20,a)]. 259 x \ (x * y) = z * (z \ y). [hyper(255,a,19,a,b,18,a)]. 260 (x / (y * (y \ z))) * z = x. [hyper(226,a,97,a)]. 261 x * y != z * y | (z / u) * u = x. [para(98(a,1),25(a,2)),flip(b)]. 263 x * K(y \ x,y) = (y \ x) * y. [hyper(255,a,99,a(flip),b,104,a(flip)),flip(a)]. 264 x * K(y,x / y) = y * (x / y). [hyper(255,a,98,a(flip),b,104,a(flip)),flip(a)]. 265 (x * y) * z != y * x | K(y,x) = z. [para(104(a,1),24(a,1)),flip(a)]. 266 (x * y) * K(y,x) != y * z | z = x. [para(104(a,2),24(a,2)),flip(a)]. 267 (x * y) \ ((y * x) * (K(x,y) * z)) = L(z,K(x,y),y * x). [para(104(a,1),33(a,2,1)),flip(a)]. 268 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(104(a,1),33(a,2,2,2)),flip(a)]. 269 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(104(a,1),35(a,2,1)),flip(a)]. 270 K(x,y) \ (x * y) = T(y * x,K(x,y)). [para(104(a,1),37(a,2,2)),flip(a)]. 271 (x * y) / T(y * x,K(x,y)) = K(x,y). [para(104(a,1),144(a,1,1))]. 272 (x * y) \ (y * x) != z | K(y,x) = z. [para(104(a,1),222(a,1,2)),flip(b)]. 273 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(27,a,128,a)]. 274 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(26,a,128,a)]. 275 (x \ y) \ y = z * (z \ T(x,x \ y)). [hyper(255,a,19,a,b,128,a(flip))]. 276 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(128(a,1),43(a,1,1)),flip(a)]. 277 T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). [para(128(a,1),45(a,1,1)),flip(a)]. 278 T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. [para(128(a,2),128(a,1,2))]. 279 T(x,L(x,y,z)) = x. [hyper(40,a,138,a)]. 280 K(x,L(x,y,z)) = 1. [hyper(41,a,279,a)]. 281 x / K(y,y \ x) = (y \ x) * y. [para(19(a,1),142(a,1,1))]. 282 ((x / y) \ x) * (y \ z) = z. [hyper(255,a,19,a(flip),b,146,a)]. 283 x * (((y / x) \ y) \ z) = z. [hyper(220,a,146,a)]. 284 ((x / y) \ x) * z != u | y \ u = z. [para(146(a,2),87(a,1))]. 285 (x / y) * ((z / y) \ z) = x. [para(73(a,1),148(a,1,2,1,2))]. 286 (x \ y) * z != y | T(x,x \ y) = z. [para(169(a,1),24(a,1)),flip(a)]. 287 (x \ y) \ y != z | T(x,x \ y) = z. [para(169(a,1),222(a,1,2)),flip(b)]. 288 T(x / (x / y),(z / (x / y)) \ z) = y. [para(73(a,2),188(a,1,2))]. 289 x * T(x \ 1,x) = K(x \ 1,x). [hyper(255,a,127,a,b,189,a),flip(a)]. 290 (x \ 1) \ K(x \ 1,x) = x. [hyper(87,a,189,a(flip))]. 292 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(189(a,2),29(a,2,1,2)),flip(a)]. 293 (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). [para(189(a,2),35(a,2,1,1)),flip(a)]. 294 x \ K(x \ 1,x) = T(x \ 1,x). [para(189(a,2),37(a,2,2)),flip(a)]. 295 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(191(a,2),33(a,2,1)),flip(a)]. 296 (x / y) \ x != z * u | z \ y = u. [para(221(a,2),24(a,1))]. 297 x * (x \ y) != z * u | y / u = z. [para(232(a,1),94(a,1,2)),flip(a),flip(b)]. 298 x / (y \ ((x / z) * z)) = y. [hyper(23,a,148,a,b,240,a(flip))]. 300 R(x,y / z,z) * y = (x * (y / z)) * z. [para(35(a,2),249(a,1,1))]. 301 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(254(a,1),35(a,2,1))]. 302 (x / (y \ x)) * z != u | y * z = u. [para(256(a,1),226(a,1,1)),flip(b)]. 303 x / (y \ x) != z | z = y. [para(257(a,2),220(a,1))]. 304 (x * y) / y != z | z = x. [para(18(a,1),303(a,1,2))]. 305 (x * y) / T(x,y) != z | z = y. [para(37(a,2),303(a,1,2))]. 306 x / x != y | 1 = y. [para(59(a,1),303(a,1,2)),flip(b)]. 307 (x * y) / y != z * u | x / u = z. [para(258(a,2),25(a,1))]. 308 ((x / y) * y) * z != u | x * z = u. [para(258(a,1),226(a,1,1)),flip(b)]. 309 x \ (x * y) != z * u | z \ y = u. [para(259(a,2),24(a,1))]. 310 x * (y * (y \ z)) != u | x * z = u. [para(259(a,1),220(a,1,2)),flip(b)]. 311 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(35(a,2),260(a,1,1))]. 312 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(199(a,1),282(a,1,1,1))]. 313 x * ((y / z) \ y) != u | u / z = x. [para(285(a,1),25(a,1)),flip(a)]. 314 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(199(a,1),285(a,1,2,1))]. 315 (x \ 1) * x != y | K(x \ 1,x) = y. [para(290(a,1),220(a,1,2)),flip(b)]. 316 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [para(33(a,2),298(a,1,2))]. 317 x * y != x * z | z = y. [para(17(a,1),85(a,1))]. 318 x \ (x * y) = L(y,x,1). [para(16(a,1),109(a,1,2))]. 319 L(x,y,1) = x. [hyper(222,a,318,a)]. 321 x \ (x * y) = L(y,1,x). [para(17(a,1),110(a,1,1))]. 322 L(x,1,y) = x. [hyper(222,a,321,a)]. 323 L(x,1,y) != z | z = x. [para(321(a,1),222(a,1))]. 325 L(1,x,y) = 1. [hyper(157,a,111,a),flip(a)]. 328 R(1,x,y) = 1. [hyper(306,a,117,a),flip(a)]. 331 (x * y) / y = R(x,1,y). [para(17(a,1),118(a,1,1,1))]. 332 R(x,1,y) = x. [hyper(304,a,331,a)]. 335 (x * y) / y = R(x,y,1). [para(17(a,1),119(a,1,2))]. 336 R(x,y,1) = x. [hyper(304,a,335,a)]. 339 L(x \ 1,x,1 / x) = 1 / x. [hyper(255,a,133,a(flip),b,162,a)]. 340 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(26,a,162,a)]. 341 (x * y) * L(y \ 1,y,x) = x. [para(162(a,2),19(a,1,2))]. 342 L((x \ y) \ 1,x \ y,x) = y \ x. [para(19(a,1),162(a,2,1))]. 343 L(x \ 1,x,y / x) = y \ (y / x). [para(21(a,1),162(a,2,1))]. 344 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(162(a,1),45(a,2,1)),flip(a)]. 345 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(162(a,1),49(a,1,1))]. 346 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(162(a,1),50(a,1,1)),flip(a)]. 347 x / L(y \ 1,y,x) = x * y. [para(162(a,2),70(a,1,2))]. 348 R(1 / x,x,x \ 1) = x \ 1. [hyper(255,a,135,a(flip),b,163,a)]. 349 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(27,a,163,a)]. 350 R(1 / x,x,x \ y) = (x \ y) / y. [para(19(a,1),163(a,2,2))]. 351 R(1 / (x / y),x / y,y) = y / x. [para(21(a,1),163(a,2,2))]. 352 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(163(a,1),47(a,2,1)),flip(a)]. 353 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(163(a,1),51(a,1,1)),flip(a)]. 354 R(1 / x,x,y) \ y = x * y. [para(163(a,2),73(a,1,1))]. 355 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(127(a,1),173(a,2))]. 358 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(43(a,1),174(a,1,2)),flip(b)]. 359 T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. [para(127(a,1),223(a,1,2))]. 360 T(x,x \ y) \ y != z | T(x \ y,T(x,x \ y)) = z. [para(169(a,1),223(a,1,2))]. 361 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(43(a,1),225(a,1,2))]. 362 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(45(a,2),225(a,1,2))]. 363 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(47(a,2),225(a,1,2))]. 364 K(x \ 1,x) != y | (x \ 1) * x = y. [para(31(a,2),227(a,1)),flip(b)]. 365 K(x,1 / x) != y | x * (1 / x) = y. [para(31(a,2),228(a,1)),flip(b)]. 366 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(33(a,2),228(a,1)),flip(b)]. 367 x * (y * (y \ 1)) != z * u | z \ x = u. [para(19(a,2),235(a,1,2))]. 368 x * (x \ y) != z * u | z \ y = u. [para(234(a,2),235(a,1))]. 369 (x / y) * y != z * u | x / u = z. [para(237(a,2),239(a,1))]. 371 ((1 / x) * x) * y != z * u | y / u = z. [para(21(a,2),248(a,1,1))]. 372 L(T(x \ 1,y),x,1 / x) = T(1 / x,y). [para(339(a,1),45(a,2,1))]. 374 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(341(a,1),222(a,1,2)),flip(b)]. 375 x / L(y,1 / y,x) = x * (1 / y). [para(73(a,1),347(a,1,2,1))]. 376 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(347(a,1),282(a,1,1,1))]. 377 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(347(a,1),283(a,1,2,1,1))]. 378 R(T(1 / x,y),x,x \ 1) = T(x \ 1,y). [para(348(a,1),47(a,2,1))]. 379 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(70(a,1),354(a,1,1,1))]. 380 x / (y * x) != z | R(1 / y,y,x) = z. [para(354(a,1),303(a,1,2)),flip(b)]. 381 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(80,a,128,a,b,19,a)]. 382 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(80,a,33,a,b,133,a(flip))]. 383 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(80,a,33,a,b,132,a(flip))]. 384 (T(x,x \ y) / z) \ ((x \ y) \ y) = z. [hyper(80,a,128,a(flip),b,21,a)]. 385 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(81,a,35,a,b,135,a(flip))]. 386 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(81,a,162,a(flip),b,16,a)]. 387 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(18(a,1),105(a,2,1)),flip(a)]. 388 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(127(a,2),105(a,1,2))]. 390 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(189(a,2),106(a,1,1))]. 391 K(x,1 / x) \ 1 = K(1 / x,x). [para(191(a,2),108(a,1,1))]. 392 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(170(a,1),33(a,2,2))]. 393 T(x,y) * z != z * u | T(T(x,z),y) = u. [para(182(a,1),24(a,1))]. 394 x * T(x \ (y * x),z) = T(y,z) * x. [para(37(a,1),182(a,1,2,1))]. 395 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(43(a,1),182(a,1,2,1))]. 396 T(x / y,z) * y = y * T(y \ x,z). [para(129(a,1),182(a,1,2,1)),flip(a)]. 397 T((x * y) / x,z) * x = x * T(y,z). [para(166(a,1),182(a,1,2,1)),flip(a)]. 398 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(128(a,1),182(a,1,2,1))]. 399 T(x / (x / y),z) * (x / y) = (x / y) * T(y,z). [para(188(a,1),182(a,1,2,1)),flip(a)]. 400 (x * T(x \ y,z)) / x = T(y / x,z). [para(185(a,1),167(a,1,1,2))]. 401 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(185(a,1),225(a,1,2))]. 402 T(x,T(T(x,y),z)) = x. [hyper(40,a,197,a)]. 403 K(x,T(T(x,y),z)) = 1. [hyper(41,a,402,a)]. 404 (x * T(y,z)) / x = T((x * y) / x,z). [para(202(a,1),167(a,1,1,2))]. 405 T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). [para(128(a,1),202(a,1,1))]. 407 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(188(a,1),205(a,1,1,2,1))]. 408 (x \ y) * x != y * z | K(x \ y,x) = z. [para(263(a,1),24(a,1))]. 409 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(263(a,1),33(a,2,2,2)),flip(a)]. 410 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(263(a,1),222(a,1,2)),flip(b)]. 412 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(264(a,1),222(a,1,2)),flip(b)]. 413 x * T(x \ 1,x) != y | K(x \ 1,x) = y. [para(294(a,1),220(a,1,2)),flip(b)]. 415 (x * y) * L(z,y,x) != x * u | y * z = u. [para(33(a,2),88(a,1,2)),flip(b)]. 416 x \ (x * y) != z * u | y / u = z. [para(21(a,1),93(a,1,2,2)),flip(b)]. 417 (x * y) / L(z \ y,z,x) = x * z. [hyper(81,a,97,a(flip),b,112,a)]. 418 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(255,a,99,a(flip),b,112,a(flip)),flip(a)]. 419 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(255,a,98,a(flip),b,112,a(flip)),flip(a)]. 421 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(80,a,112,a(flip),b,127,a)]. 422 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(112(a,1),24(a,1)),flip(a)]. 423 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(112(a,1),33(a,2,1)),flip(a)]. 424 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(112(a,1),33(a,2,2,2)),flip(a)]. 425 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(112(a,1),35(a,2,1,1)),flip(a)]. 427 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(45(a,1),112(a,1,2))]. 428 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(49(a,2),112(a,1,2))]. 429 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(50(a,1),112(a,1,2))]. 430 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(127(a,1),112(a,1,1))]. 431 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(112(a,1),222(a,1,2)),flip(b)]. 432 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(112(a,1),104(a,1,1))]. 433 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(189(a,2),112(a,1,1))]. 434 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(112(a,1),158(a,1))]. 435 L(x \ (y * x),x,y) = T(y,y * x). [hyper(255,a,37,a,b,114,a)]. 436 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(255,a,133,a(flip),b,114,a)]. 437 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(255,a,132,a(flip),b,114,a)]. 438 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(255,a,107,a(flip),b,114,a)]. 439 L((x \ y) \ z,x \ y,x) = y \ (x * z). [para(19(a,1),114(a,2,1))]. 440 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(21(a,1),114(a,2,1))]. 441 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(29(a,2),114(a,1,1)),flip(a)]. 442 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(114(a,1),45(a,2,1)),flip(a)]. 443 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(127(a,1),114(a,2,1))]. 444 L(K(x,y) \ z,K(x,y),y * x) = (x * y) \ ((y * x) * z). [para(104(a,1),114(a,2,1))]. 446 x / L(y \ z,y,x / z) = (x / z) * y. [para(114(a,2),298(a,1,2))]. 447 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(114(a,2),227(a,1)),flip(b)]. 448 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(112(a,1),114(a,2,1))]. 449 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(112(a,1),114(a,2,2))]. 450 R(x / y,y,x \ z) \ z = y * (x \ z). [hyper(80,a,254,a(flip),b,122,a)]. 451 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(80,a,99,a(flip),b,122,a)]. 452 R(x / y,y,z) \ (x * z) = y * z. [hyper(80,a,98,a(flip),b,122,a)]. 453 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(80,a,122,a(flip),b,112,a)]. 454 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(122(a,1),25(a,1))]. 456 ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). [para(122(a,1),31(a,2,1)),flip(a)]. 457 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(122(a,1),35(a,2,1,1)),flip(a)]. 458 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(122(a,1),35(a,2,2)),flip(a)]. 459 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(47(a,1),122(a,1,1))]. 460 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(49(a,1),122(a,1,1))]. 461 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(51(a,1),122(a,1,1))]. 462 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(127(a,1),122(a,1,2))]. 463 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(122(a,1),104(a,1,1))]. 464 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(104(a,1),122(a,1,2))]. 465 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(189(a,2),122(a,1,2))]. 466 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(122(a,1),304(a,1,1)),flip(b)]. 467 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(122(a,2),304(a,1,1)),flip(b)]. 468 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(122(a,1),159(a,1)),flip(b)]. 470 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(122(a,1),122(a,1,2))]. 471 R(x / (1 / y),1 / y,y) = x * y. [hyper(255,a,136,a(flip),b,123,a)]. 472 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(255,a,135,a(flip),b,123,a)]. 473 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(19(a,1),123(a,2,2))]. 474 R(x / (y / z),y / z,z) = (x * z) / y. [para(21(a,1),123(a,2,2))]. 475 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(123(a,1),47(a,2,1)),flip(a)]. 476 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(123(a,2),129(a,1,1))]. 477 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(198(a,1),123(a,2,2))]. 478 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(163(a,2),123(a,1,1))]. 479 R(x / (1 / y),1 / y,y) != z | x * y = z. [para(123(a,2),218(a,1)),flip(b)]. 480 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(122(a,1),123(a,2,1))]. 481 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(122(a,1),123(a,2,2))]. 482 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(123(a,2),123(a,1,1))]. 483 (x * y) / L(z,y / z,x) = x * (y / z). [para(21(a,1),143(a,1,1,2))]. 484 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(127(a,1),143(a,1,1,2))]. 485 (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). [para(104(a,1),143(a,1,1,2))]. 486 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(127(a,1),149(a,1,2,1))]. 487 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(104(a,1),149(a,1,2,1))]. 488 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(263(a,1),149(a,1,2,1))]. 489 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(112(a,1),149(a,1,2,1))]. 490 K(x,1 / x) \ x = L(x,1 / x,x). [para(191(a,2),165(a,2,1)),flip(a)]. 491 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(80,a,50,a,b,190,a)]. 492 x \ R(L(y,x \ 1,x),z,u) = (x \ 1) * R(y,z,u). [hyper(80,a,49,a,b,190,a)]. 493 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(80,a,45,a(flip),b,190,a)]. 494 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [para(127(a,1),190(a,1,2)),flip(a)]. 495 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(80,a,50,a,b,192,a)]. 496 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(127(a,1),192(a,1,2)),flip(a)]. 497 (1 / x) \ L(y,x,1 / x) != z | x * y = z. [para(192(a,1),222(a,1,2)),flip(b)]. 498 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(81,a,49,a(flip),b,193,a)]. 499 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(80,a,193,a(flip),b,127,a)]. 500 R(x,y,y \ 1) / (y \ 1) != z * y | z = x. [para(193(a,1),95(a,1,1))]. 501 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(81,a,51,a,b,194,a)]. 502 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(81,a,49,a(flip),b,194,a)]. 503 K(x,1 / x) * x = R(x,1 / x,x). [para(191(a,2),194(a,1,1))]. 505 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(241(a,1),45(a,2,1))]. 506 L(R(x \ (y \ z),u,w),x,y) = R((y * x) \ z,u,w). [para(241(a,1),49(a,1,1)),flip(a)]. 507 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(241(a,1),50(a,1,1)),flip(a)]. 508 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(73(a,1),241(a,1,1))]. 510 R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w. [para(35(a,2),296(a,1,1))]. 514 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(259(a,1),297(a,1,2))]. 519 (x * (x \ y)) * z != u | y * z = u. [para(257(a,1),302(a,1,1))]. 520 (((x * y) / z) * z) / y != u * w | x / w = u. [para(21(a,2),307(a,1,1))]. 523 (x / y) \ (z * (z \ x)) != u * w | u \ y = w. [para(240(a,1),309(a,1,2))]. 524 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(342(a,1),279(a,1,2))]. 525 K((x \ y) \ 1,y \ x) = 1. [para(342(a,1),280(a,1,2))]. 526 K(((x * y) \ x) \ 1,y) = 1. [para(18(a,1),525(a,1,2))]. 527 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(343(a,1),45(a,2,1)),flip(a)]. 528 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(350(a,1),47(a,2,1)),flip(a)]. 529 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(350(a,2),123(a,1,1))]. 530 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(19(a,2),368(a,1,2))]. 533 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(259(a,1),368(a,1,2))]. 534 (((x / y) / z) * z) * y != u * w | x / w = u. [para(21(a,2),369(a,1,1))]. 535 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(258(a,1),369(a,1,1))]. 537 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(383(a,1),220(a,1,2)),flip(b)]. 540 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(341(a,1),416(a,1,2))]. 541 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(122(a,1),416(a,1,2))]. 542 L(T(x,y),y,x) = T(x,x * y). [para(37(a,2),435(a,1,1))]. 543 T(L(x,y,x),y) = T(x,x * y). [hyper(255,a,45,a(flip),b,542,a(flip)),flip(a)]. 544 L(T(T(x,y),z),y,x) = T(T(x,x * y),z). [para(542(a,1),45(a,2,1))]. 545 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(542(a,1),49(a,1,1)),flip(a)]. 546 L(L(T(x,y),z,u),y,x) = L(T(x,x * y),z,u). [para(542(a,1),50(a,1,1)),flip(a)]. 547 x * T(y,y * x) = L(y,x,y) * x. [para(543(a,1),127(a,1,2))]. 548 (x * T(y,y * x)) / x = L(y,x,y). [para(543(a,1),167(a,1,1,2))]. 550 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(436(a,1),45(a,2,1))]. 551 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(436(a,1),49(a,1,1)),flip(a)]. 552 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(437(a,1),45(a,2,1))]. 553 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(437(a,1),279(a,1,2))]. 554 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(471(a,1),47(a,2,1))]. 555 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(472(a,1),47(a,2,1))]. 556 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(472(a,1),51(a,1,1)),flip(a)]. 557 K(x,1 / x) * L(x,1 / x,x) = x. [para(490(a,1),19(a,1,2))]. 559 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(19(a,1),547(a,1,2,2)),flip(a)]. 561 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(127(a,1),547(a,1,2,2)),flip(a)]. 562 ((x \ y) * T(x,y)) / (x \ y) = L(x,x \ y,x). [para(19(a,1),548(a,1,1,2,2))]. 563 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(557(a,1),24(a,1)),flip(a)]. 564 T(x / y,(z / y) \ z) = y \ x. [hyper(172,a,285,a,b,282,a)]. 565 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(255,a,112,a(flip),b,183,a(flip)),flip(a)]. 566 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [hyper(80,a,183,a(flip),b,112,a(flip))]. 568 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(183(a,1),29(a,2,1,2)),flip(a)]. 569 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(47(a,2),183(a,1,2,1))]. 570 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(129(a,1),183(a,1,2,1)),flip(a)]. 571 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(166(a,1),183(a,1,2,1)),flip(a)]. 572 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(128(a,1),183(a,1,2,1))]. 573 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(255,a,122,a(flip),b,184,a)]. 574 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(80,a,122,a(flip),b,184,a)]. 576 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(43(a,1),184(a,1,2,1))]. 577 R(x,y,z) * x = x * R(x,y,z). [para(126(a,1),184(a,1,2,1)),flip(a)]. 578 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(129(a,1),184(a,1,2,1)),flip(a)]. 579 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(137(a,1),184(a,1,2,1)),flip(a)]. 580 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(166(a,1),184(a,1,2,1)),flip(a)]. 581 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(128(a,1),184(a,1,2,1))]. 582 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(188(a,1),184(a,1,2,1)),flip(a)]. 583 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(542(a,2),184(a,1,2,1))]. 584 T(x,R(x,y,z)) = x. [hyper(173,a,577,a)]. 585 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(186(a,1),167(a,1,1,2))]. 586 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(187(a,1),167(a,1,1,2))]. 587 T(x / (y * x),y) = R(y \ 1,y,x). [para(163(a,1),187(a,1,1))]. 588 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(123(a,1),187(a,1,1))]. 589 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(253(a,1),187(a,1,1)),flip(a)]. 590 T((x \ y) / y,x) = R(x \ 1,x,x \ y). [para(350(a,1),187(a,1,1))]. 591 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(351(a,1),187(a,1,1)),flip(a)]. 592 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(472(a,1),187(a,1,1)),flip(a)]. 593 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(587(a,1),127(a,1,2)),flip(a)]. 594 x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. [para(587(a,1),225(a,1,2))]. 595 ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). [hyper(225,a,273,a),flip(a)]. 597 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). [hyper(80,a,273,a(flip),b,112,a)]. 598 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(273(a,2),31(a,2,1)),flip(a)]. 599 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(273(a,2),33(a,2,1)),flip(a)]. 601 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(369,a,274,a),flip(a)]. 602 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(81,a,274,a,b,xx)]. 603 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). [hyper(80,a,274,a(flip),b,104,a)]. 605 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(275(a,2),310(a,1,2))]. 608 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(21(a,1),374(a,1,1))]. 609 K(x \ 1,x) \ (x \ 1) != y | L(x \ 1,x,x \ 1) = y. [para(189(a,2),374(a,1,1))]. 611 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(127(a,1),380(a,1,2))]. 612 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(191(a,2),380(a,1,2))]. 613 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(381(a,2),199(a,1,2,2))]. 614 K(x \ (x * y),x) = K(y,x). [hyper(255,a,105,a(flip),b,387,a),flip(a)]. 615 K(x \ (x * y),z) = K(y,z). [para(61(a,1),614(a,1,1)),flip(a)]. 616 K((x / y) \ x,z) = K(y,z). [para(21(a,1),615(a,1,1,2))]. 617 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(396(a,1),304(a,1,1)),flip(b)]. 618 T((x * y) / x,y * x) = L(y,x,y). [hyper(23,a,547,a(flip),b,397,a)]. 619 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(255,a,273,a(flip),b,397,a(flip)),flip(a)]. 620 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(397(a,1),304(a,1,1)),flip(b)]. 621 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(19(a,1),618(a,1,2))]. 622 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(618(a,1),43(a,1,1)),flip(a)]. 623 ((x * y) / x) * (y * x) = (y * x) * L(y,x,y). [para(618(a,1),127(a,1,2)),flip(a)]. 624 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(400(a,1),226(a,1,1)),flip(b)]. 626 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(404(a,2),127(a,1,2))]. 627 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(129(a,1),404(a,1,1,2)),flip(a)]. 628 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(404(a,1),226(a,1,1)),flip(b)]. 629 T(x * y,(x \ 1) \ y) = x * y. [hyper(40,a,553,a)]. 632 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(81,a,99,a(flip),b,100,a)]. 633 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(19(a,1),100(a,1,1,2))]. 634 x * a(x,y,y \ 1) = (x * y) * (y \ 1). [para(64(a,1),100(a,1,1))]. 635 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(127(a,1),100(a,1,1,2))]. 636 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(100(a,1),222(a,1,2)),flip(b)]. 637 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(122(a,1),100(a,1,1))]. 639 L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). [para(127(a,1),115(a,1,2,2)),flip(a)]. 641 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(120(a,2),246(a,1,1))]. 642 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(120(a,2),250(a,1,1))]. 643 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(193(a,1),161(a,1,2))]. 644 x * a(x,y,y \ 1) = R(x,y,y \ 1). [para(643(a,1),19(a,1,2))]. 646 x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(644(a,1),222(a,1,2)),flip(b)]. 647 x \ (K(x,1 / x) * x) = a(x,1 / x,x). [para(191(a,2),164(a,1,2,1))]. 648 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(194(a,1),164(a,1,2))]. 651 L(T(x,y),y,1 / y) != z | (1 / y) * (x * y) = z. [para(179(a,1),228(a,1)),flip(b)]. 652 x * ((y * x) \ (y * (z * x))) = L(z,x,y) * x. [para(179(a,2),183(a,1,2))]. 653 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). [para(269(a,1),396(a,1,1,1)),flip(a)]. 654 L(R(x,y / z,z),u,w) * y = (L(x,u,w) * (y / z)) * z. [para(49(a,1),300(a,1,1))]. 655 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(49(a,1),311(a,1,1))]. 656 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(344(a,2),112(a,1,2))]. 657 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(220,a,349,a)]. 658 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(255,a,129,a(flip),b,352,a(flip))]. 659 T(x / (y * x),z) * (y * x) = (T(1 / y,z) * y) * x. [para(352(a,2),122(a,1,1))]. 660 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(128(a,1),358(a,1,2))]. 661 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(37(a,1),361(a,1,2,1))]. 662 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(255,a,129,a(flip),b,372,a)]. 663 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [hyper(80,a,372,a(flip),b,192,a)]. 664 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(173,a,376,a),flip(a)]. 665 T(x \ 1,y) / (x \ 1) = T(1 / x,y) * x. [hyper(81,a,378,a(flip),b,193,a)]. 666 K(x,y) = L(x \ T(x,y),x,y). [hyper(255,a,31,a,b,392,a),flip(a)]. 667 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(392(a,1),45(a,2,1))]. 669 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(127(a,2),410(a,1,2))]. 670 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(255,a,183,a(flip),b,418,a(flip))]. 671 x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z). [hyper(80,a,183,a(flip),b,418,a(flip))]. 672 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(418(a,1),24(a,1))]. 673 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(50(a,1),418(a,1,2))]. 674 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(418(a,1),222(a,1,2)),flip(b)]. 675 L(x \ y,x,y / x) = T(y / x,y). [hyper(172,a,97,a(flip),b,419,a),flip(a)]. 676 (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. [hyper(255,a,183,a(flip),b,419,a(flip))]. 677 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(439(a,1),45(a,2,1))]. 678 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(439(a,1),49(a,1,1)),flip(a)]. 679 R(x,T(y,x),(y * x) \ z) \ z = T(y,x) * ((y * x) \ z). [para(144(a,1),450(a,1,1,1))]. 680 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(451(a,1),303(a,1,2)),flip(b)]. 681 T(R(x / y,y,y \ z),z) = z \ (x * (y \ z)). [para(473(a,2),129(a,1,1))]. 682 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(474(a,1),47(a,2,1))]. 683 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(474(a,1),51(a,1,1)),flip(a)]. 685 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(474(a,1),187(a,1,1)),flip(a)]. 686 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(484(a,1),219(a,1,1)),flip(b)]. 687 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(255,a,662,a(flip),b,496,a(flip))]. 688 (1 / x) \ (x \ 1) = (x \ 1) * x. [hyper(80,a,662,a(flip),b,496,a(flip))]. 689 x * ((1 / x) * (y * x)) = L(y,x,1 / x) * x. [para(496(a,1),183(a,1,2))]. 690 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(73(a,1),687(a,1,2,1))]. 691 (1 / x) * K(x \ 1,x) = x \ 1. [para(189(a,2),687(a,1,2))]. 692 (1 / x) \ (x \ 1) = K(x \ 1,x). [hyper(255,a,189,a,b,688,a)]. 693 K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1). [hyper(80,a,691,a(flip),b,140,a(flip)),flip(a)]. 694 (x \ 1) \ ((1 / x) * (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [para(691(a,1),33(a,2,1)),flip(a)]. 695 K(x \ 1,x) * y != x \ 1 | T(1 / x,K(x \ 1,x)) = y. [para(691(a,1),173(a,2))]. 696 (x \ 1) * L(y,K(x \ 1,x),1 / x) = (1 / x) * (K(x \ 1,x) * y). [para(691(a,1),112(a,1,1))]. 697 (x * (y \ 1)) / L(K(y \ 1,y),1 / y,x) = x * (1 / y). [para(691(a,1),143(a,1,1,2))]. 699 x / L(K(y \ 1,y),1 / y,x / (y \ 1)) = (x / (y \ 1)) * (1 / y). [para(692(a,1),446(a,1,2,1))]. 702 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(544(a,1),112(a,1,2))]. 703 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(18(a,1),588(a,2,1)),flip(a)]. 704 T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). [para(588(a,1),185(a,1,1))]. 705 T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. [para(589(a,1),122(a,1,1))]. 706 T((x \ y) / y,x) * y = ((x \ 1) * x) * (x \ y). [para(590(a,2),311(a,1,1))]. 707 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(18(a,1),592(a,1,1)),flip(a)]. 708 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(21(a,1),593(a,1,1,2)),flip(a)]. 709 R(x \ 1,x,y) \ ((y / (x * y)) * x) != z | T(x,R(x \ 1,x,y)) = z. [para(593(a,2),223(a,1,2))]. 710 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(593(a,1),272(a,1,1))]. 711 T(K(x,1 / x),x) = a(x,1 / x,x). [hyper(223,a,647,a)]. 713 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(19(a,1),657(a,1,1,2))]. 714 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(703(a,2),127(a,1,2)),flip(a)]. 715 T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). [para(136(a,1),703(a,2,1)),flip(a)]. 716 T(R(x,y,x),y * x) = T(x,y). [para(703(a,2),202(a,1,1))]. 717 R(x,y,x) * (y * x) = (y * x) * T(x,y). [para(703(a,2),397(a,1,1))]. 718 R(T(x,y * x),y,x) = T(x,y). [hyper(255,a,47,a,b,716,a(flip)),flip(a)]. 719 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(716(a,1),183(a,1,2,1)),flip(a)]. 720 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(716(a,1),184(a,1,2,1)),flip(a)]. 721 R(T(x,y),y / x,x) = T(x,y / x). [para(21(a,1),718(a,1,1,2))]. 722 x * R(T(y,x * y),x,y) = y * x. [para(718(a,2),127(a,1,2))]. 724 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(718(a,1),122(a,1,1)),flip(a)]. 725 R(x,1 / x,x) = T(x,1 / x). [para(153(a,1),721(a,1,1))]. 726 T(x,1 / x) / x = K(x,1 / x). [hyper(81,a,725,a(flip),b,503,a)]. 727 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(725(a,1),51(a,1,1)),flip(a)]. 728 x \ T(x,1 / x) = a(x,1 / x,x). [para(725(a,1),648(a,1,2))]. 729 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [para(707(a,1),167(a,1,1,2))]. 730 (x * y) * T(y,x) = (y * x) * y. [hyper(255,a,122,a(flip),b,717,a(flip))]. 731 (x * (y / x)) * x = y * T(x,y / x). [hyper(308,a,730,a),flip(a)]. 732 ((x \ 1) * x) \ x = T(x,x \ 1). [hyper(80,a,62,a(flip),b,730,a)]. 733 K(x \ 1,x) \ x = T(x,x \ 1). [para(189(a,2),732(a,1,1))]. 734 K(x \ 1,x) \ x = (x \ 1) \ 1. [hyper(255,a,128,a(flip),b,733,a)]. 735 K(x \ 1,x) * ((x \ 1) \ 1) = x. [para(734(a,1),19(a,1,2))]. 736 K(x,1 / x) \ (1 / x) = ((1 / x) \ 1) \ 1. [para(73(a,1),734(a,1,1,1))]. 737 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(255,a,47,a,b,130,a),flip(a)]. 739 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(49(a,2),224(a,1,2))]. 741 K(x \ 1,x) * L(y,x,x \ 1) != z | (x \ 1) * (x * y) = z. [para(189(a,2),224(a,1,1))]. 747 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(127(a,1),230(a,1,2))]. 749 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(104(a,1),422(a,1,1)),flip(a)]. 751 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(66(a,1),431(a,1,2))]. 752 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(112(a,1),431(a,1,2,2))]. 754 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(100(a,1),431(a,1,2,2))]. 757 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(263(a,1),454(a,2,2))]. 758 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(691(a,1),454(a,2,2))]. 759 x / (y * z) != u | R((x / z) / y,y,z) = u. [para(78(a,1),466(a,1,1))]. 761 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(189(a,2),537(a,1,2))]. 762 L(1 / x,x,y) * x = x * ((y * x) \ y). [hyper(255,a,340,a(flip),b,570,a)]. 763 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [hyper(81,a,340,a(flip),b,570,a)]. 764 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(342(a,1),570(a,2,2))]. 765 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(19(a,1),763(a,1,1,2,1))]. 767 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(96,a,571,a),flip(a)]. 768 L((x * (y \ 1)) / x,y,z) = (x * ((z * y) \ z)) / x. [hyper(81,a,340,a(flip),b,571,a),flip(a)]. 769 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(81,a,112,a(flip),b,571,a),flip(a)]. 771 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(578(a,1),193(a,1,1))]. 772 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(269(a,1),578(a,1,1,1)),flip(a)]. 773 T(x,R(T(x,y),z,u)) = x. [hyper(173,a,579,a)]. 774 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(230,a,580,a)]. 775 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(96,a,580,a),flip(a)]. 776 (((x * y) / x) * z) * (z \ x) = x * R(y,z,z \ x). [hyper(255,a,311,a(flip),b,580,a(flip)),flip(a)]. 777 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(81,a,580,a(flip),b,311,a(flip))]. 778 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(81,a,580,a(flip),b,122,a(flip))]. 780 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(585(a,1),226(a,1,1)),flip(b)]. 782 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(241(a,1),585(a,1,1,2)),flip(a)]. 784 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(666(a,2),585(a,1,1,2)),flip(a)]. 785 ((x \ y) * (y \ (x * z))) / (x \ y) = L(z / (x \ y),x \ y,x). [para(439(a,1),585(a,1,1,2))]. 786 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(33(a,2),586(a,1,1,2,1))]. 787 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(73(a,1),586(a,1,1,2,1))]. 788 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(586(a,1),226(a,1,1)),flip(b)]. 789 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(129(a,1),626(a,1,2,1,2)),flip(a)]. 790 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(128(a,1),626(a,1,2,1,2))]. 791 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(627(a,1),167(a,1,1,2))]. 792 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(627(a,1),168(a,1,2,2))]. 793 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(255,a,396,a(flip),b,665,a)]. 794 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(255,a,73,a(flip),b,690,a)]. 796 (1 / (1 / x)) * K(x,1 / x) = x. [para(191(a,2),794(a,1,2))]. 798 K(x,1 / x) \ (1 / x) = x \ 1. [para(73(a,1),736(a,2,1))]. 799 K(x,1 / x) * (x \ 1) = 1 / x. [para(798(a,1),19(a,1,2))]. 800 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(129(a,1),737(a,1,1,1)),flip(a)]. 801 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(767(a,2),226(a,1,1)),flip(b)]. 802 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(767(a,1),112(a,1,2))]. 803 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(343(a,1),767(a,2,1,2))]. 804 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(436(a,1),767(a,2,1,2))]. 805 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(437(a,1),767(a,2,1,2))]. 806 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(439(a,1),767(a,2,1,2))]. 807 R((x * y) / x,z,u) * x != w | x * R(y,z,u) = w. [para(775(a,2),226(a,1,1)),flip(b)]. 808 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(163(a,1),775(a,2,1,2))]. 809 ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. [para(775(a,1),122(a,1,1))]. 810 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(253(a,1),775(a,2,1,2))]. 812 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(471(a,1),775(a,2,1,2))]. 813 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(472(a,1),775(a,2,1,2))]. 814 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(775(a,1),230(a,1,1))]. 815 T(x * T(x \ 1,y),x \ 1) = (x \ 1) \ T(x \ 1,y). [para(793(a,1),129(a,1,1))]. 816 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(731(a,1),102(a,1,2))]. 817 R(x,y,(x * y) \ z) \ z != u | y * ((x * y) \ z) = u. [para(121(a,2),219(a,1,1)),flip(b)]. 818 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(255,a,404,a(flip),b,181,a(flip)),flip(a)]. 819 T(R(x,y,T(x,y)),x * y) = T(x,y). [para(181(a,1),166(a,1,1))]. 820 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(255,a,47,a,b,819,a(flip)),flip(a)]. 821 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(345(a,2),112(a,1,2))]. 822 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(255,a,114,a(flip),b,346,a)]. 823 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(339(a,1),346(a,1,1)),flip(a)]. 824 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(346(a,1),112(a,1,2))]. 826 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(19(a,1),823(a,1,1,1))]. 827 R(x / (y * x),z,u) * (y * x) = (R(1 / y,z,u) * y) * x. [para(353(a,1),122(a,1,1))]. 831 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(114(a,1),427(a,1,2,1))]. 832 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(241(a,1),427(a,1,2,1))]. 833 x * (y * T(y \ T(y,x),z)) = (x * y) * T(K(y,x),z). [para(666(a,2),427(a,1,2,1)),flip(a)]. 834 x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). [hyper(362,a,430,a),flip(a)]. 835 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [para(50(a,1),430(a,1,2))]. 836 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(345(a,2),430(a,1,2))]. 837 (x * y) * L((y * T(x,y)) \ y,z,u) = y * (T(x,y) * L(T(x,y) \ 1,z,u)). [para(346(a,1),430(a,1,2))]. 838 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(127(a,1),442(a,1,1,1)),flip(a)]. 839 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(442(a,2),224(a,1,2))]. 840 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(443(a,1),49(a,1,1)),flip(a)]. 841 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(443(a,1),50(a,1,1)),flip(a)]. 842 (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). [para(253(a,1),459(a,1,1,1)),flip(a)]. 843 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(820(a,1),462(a,1,1)),flip(a)]. 844 R(T((x * y) / x,z),x,y) * (x * y) = (x * y) * T(y,z). [para(475(a,1),397(a,1,1))]. 845 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(476(a,1),626(a,1,2,1,2)),flip(a)]. 846 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [para(476(a,1),737(a,2,1))]. 847 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(127(a,1),486(a,1,2))]. 848 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(437(a,1),493(a,1,2,1)),flip(a)]. 849 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(505(a,1),224(a,1,2))]. 851 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(527(a,2),419(a,1,2)),flip(a)]. 852 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(528(a,2),311(a,1,1))]. 854 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(546(a,1),112(a,1,2))]. 855 (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). [hyper(366,a,550,a)]. 856 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(255,a,496,a(flip),b,550,a(flip)),flip(a)]. 857 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(80,a,550,a(flip),b,192,a)]. 858 T((1 / x) * (x * y),x) = (1 / x) * (y * x). [para(18(a,1),856(a,1,2,1)),flip(a)]. 859 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(255,a,494,a(flip),b,552,a(flip)),flip(a)]. 860 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(80,a,552,a(flip),b,494,a(flip))]. 861 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(81,a,554,a(flip),b,194,a),flip(a)]. 862 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(81,a,555,a(flip),b,193,a)]. 864 ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). [para(196(a,1),562(a,1,1,2))]. 865 L(x,x \ y,x) * (x \ y) != z | (x \ y) * T(x,y) = z. [para(562(a,1),226(a,1,1)),flip(b)]. 866 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(162(a,1),565(a,2,1)),flip(a)]. 867 R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). [hyper(80,a,100,a(flip),b,573,a),flip(a)]. 868 (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. [para(573(a,1),24(a,1)),flip(a)]. 870 T(x / y,y / x) * y = (((y / x) \ 1) * (y / x)) * x. [para(591(a,1),300(a,1,1))]. 871 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(255,a,45,a,b,622,a)]. 872 L(((x * y) * x) / (x * y),y,x) = (y * x) / y. [hyper(23,a,571,a,b,623,a),flip(a)]. 873 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(70(a,1),624(a,1,1,1))]. 874 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(665(a,2),624(a,1))]. 875 T(x / (x / y),z) * (x / y) != u | (x / y) * T(y,z) = u. [para(21(a,1),628(a,1,1,1,1))]. 876 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(127(a,1),632(a,1,1))]. 877 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(81,a,633,a(flip),b,127,a)]. 878 x \ ((x / y) * ((y \ 1) * y)) = T(x \ (x / y),y). [hyper(255,a,527,a,b,639,a(flip))]. 880 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(342(a,1),671(a,1,2,1)),flip(a)]. 881 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [para(439(a,1),671(a,1,2,1)),flip(a)]. 882 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(255,a,47,a,b,681,a(flip)),flip(a)]. 884 ((x * T(y,x * y)) * y) / (x * y) = y. [hyper(23,a,722,a(flip),b,714,a)]. 885 (x * T(y,x * y)) * y = y * (x * y). [para(884(a,1),21(a,1,1)),flip(a)]. 886 (x * (y * x)) / x = y * T(x,y * x). [para(884(a,1),77(a,1,1,1))]. 887 T(x * T(y,x * y),y) = x * y. [hyper(172,a,885,a,b,xx)]. 890 T((x / y) * T(y,(x / y) * y),y) = x. [hyper(255,a,21,a(flip),b,887,a)]. 891 x \ ((y * (x * y)) / y) != z | T(y,x * y) = z. [para(886(a,2),222(a,1,2)),flip(b)]. 892 T((x / y) * T(y,x),y) = x. [para(21(a,1),890(a,1,1,2,2))]. 893 T(x * T(x \ y,y),x \ y) = y. [para(70(a,1),892(a,1,1,1))]. 894 (x / y) * T(y,x) = (y * x) / y. [para(892(a,1),167(a,1,1,2)),flip(a)]. 895 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [para(893(a,1),167(a,1,1,2))]. 896 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(172,a,894,a,b,19,a),flip(a)]. 897 ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). [hyper(81,a,894,a(flip),b,127,a)]. 899 T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z. [para(894(a,1),223(a,1,2))]. 900 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(347(a,1),894(a,1,1)),flip(a)]. 901 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(375(a,1),894(a,1,1)),flip(a)]. 902 T(x,y * T(y \ x,x)) = x. [para(895(a,1),207(a,1,2))]. 903 T(x,(x * y) * L(T(y \ 1,x),y,x)) = x. [para(344(a,1),902(a,1,2,2))]. 904 T(x,x * (y * T(y \ 1,x))) = x. [para(112(a,1),903(a,1,2))]. 905 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(21(a,1),782(a,2,1,2,1))]. 906 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(37(a,2),782(a,2,1,2))]. 907 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(177(a,1),782(a,2,1,2))]. 908 L(((x * y) * x) / (x * y),y,x) * y = y * x. [para(872(a,2),21(a,1,1))]. 909 (x \ (y * (z \ x))) * x = (T(y / z,x) * z) * (z \ x). [para(882(a,1),311(a,1,1))]. 910 (x * y) \ (x * ((((x * y) * x) / (x * y)) * y)) = x. [hyper(22,a,652,a,b,908,a(flip)),flip(a)]. 911 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [hyper(81,a,274,a(flip),b,399,a)]. 912 K((x * y) \ 1,x * y) \ ((((x * y) \ 1) * x) * y) != z | a((x * y) \ 1,x,y) = z. [para(189(a,2),636(a,1,1))]. 913 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [hyper(624,a,706,a),flip(a)]. 914 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(255,a,385,a,b,789,a(flip)),flip(a)]. 915 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(18(a,1),791(a,1,1,2,1,2))]. 916 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(791(a,1),226(a,1,1)),flip(b)]. 917 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(73(a,1),792(a,1,2,2,1,2))]. 918 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(123(a,1),800(a,1,1,1))]. 919 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(476(a,1),800(a,1,1)),flip(a)]. 920 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(172,a,843,a,b,xx)]. 922 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(661,a,848,a),flip(a)]. 923 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(87,a,848,a)]. 924 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(17(a,1),848(a,2,2,1))]. 925 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(19(a,1),848(a,2,2,1))]. 926 T(1 / (x \ 1),y) * (x \ 1) = x \ T(x,y). [hyper(401,a,924,a)]. 927 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(255,a,398,a(flip),b,924,a(flip)),flip(a)]. 928 (x / y) \ T(x / y,y) = (y \ x) * ((x / y) \ 1). [para(129(a,1),927(a,1,1)),flip(a)]. 929 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(927(a,1),178(a,1,2,2))]. 930 (1 / x) \ T((1 / x) * y,z) != u * w | u \ (x * T(x \ y,z)) = w. [para(855(a,1),309(a,1,2))]. 931 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(19(a,1),857(a,1,2,1)),flip(a)]. 933 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(21(a,1),860(a,1,2,1))]. 934 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(628,a,861,a),flip(a)]. 935 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(624,a,861,a)]. 936 (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). [hyper(80,a,861,a(flip),b,396,a(flip))]. 937 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [para(16(a,1),861(a,2,1,1))]. 938 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(129(a,1),861(a,1,1)),flip(a)]. 939 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(624,a,937,a)]. 940 (1 / x) * T(x,y) = T(x,y) / x. [hyper(255,a,399,a(flip),b,937,a(flip)),flip(a)]. 941 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(81,a,937,a(flip),b,399,a(flip))]. 942 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(80,a,937,a(flip),b,399,a(flip))]. 943 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(937(a,1),624(a,1))]. 944 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(172,a,940,a,b,19,a),flip(a)]. 945 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(255,a,274,a(flip),b,940,a(flip))]. 946 T(x / y,y) / (x / y) = (1 / (x / y)) * (y \ x). [para(129(a,1),940(a,1,2)),flip(a)]. 948 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(940(a,1),618(a,1,2))]. 949 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(608,a,944,a)]. 950 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(128(a,1),945(a,1,1)),flip(a)]. 951 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(255,a,396,a(flip),b,862,a)]. 952 (x / y) * ((y \ 1) * y) = x * T(x \ (x / y),y). [para(878(a,1),19(a,1,2)),flip(a)]. 953 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(255,a,387,a,b,880,a),flip(a)]. 954 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(80,a,387,a,b,880,a),flip(a)]. 955 x * ((((x * y) * x) / (x * y)) * y) = (x * y) * x. [para(910(a,1),19(a,1,2)),flip(a)]. 956 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(189(a,2),913(a,1,1))]. 957 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [para(922(a,1),19(a,1,2)),flip(a)]. 958 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(923(a,1),220(a,1,2)),flip(b)]. 959 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(81,a,925,a(flip),b,396,a)]. 960 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [para(129(a,1),928(a,1,2)),flip(a)]. 961 ((x * y) / x) \ (x \ (x * y)) = y * (((x * y) / x) \ 1). [para(18(a,1),960(a,1,1)),flip(a)]. 962 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(960(a,1),24(a,1))]. 963 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(931(a,1),388(a,1,2))]. 965 (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). [para(21(a,1),936(a,1,2,1,1))]. 966 (1 / x) * T((1 / x) \ y,z) != u | T(y * x,z) / x = u. [para(936(a,1),220(a,1,2)),flip(b)]. 967 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(21(a,1),938(a,1,1,1)),flip(a)]. 968 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [para(129(a,1),946(a,1,1)),flip(a)]. 969 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(172,a,968,a,b,19,a),flip(a)]. 970 ((x / y) \ x) / (x / (x / y)) = (1 / (x / (x / y))) * y. [para(73(a,1),968(a,1,2)),flip(a)]. 972 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(255,a,848,a(flip),b,951,a)]. 973 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(951(a,1),21(a,1,1))]. 974 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(189(a,2),952(a,1,2))]. 975 T(x,x * K(y,x)) = x. [para(953(a,2),904(a,1,2,2))]. 977 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z. [para(954(a,2),220(a,1,2)),flip(b)]. 978 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(162(a,2),954(a,1,1,1))]. 979 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). [para(954(a,1),793(a,1,1))]. 980 (((x * y) * x) / (x * y)) * y = T(x * y,x). [hyper(173,a,955,a),flip(a)]. 981 ((x * y) * x) / (x * y) = T(x * y,x) / y. [hyper(96,a,980,a),flip(a)]. 982 T(T(x * y,x) / y,x * y) = x. [para(981(a,1),166(a,1,1))]. 983 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(981(a,1),818(a,1,1))]. 984 T(T(x,x / y) / y,(x / y) * y) = x / y. [para(21(a,1),982(a,1,1,1,1))]. 985 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(193(a,1),982(a,1,1,1,1))]. 986 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(255,a,129,a(flip),b,983,a(flip)),flip(a)]. 987 x * R(y,x,T(y,x)) = T(y * x,y). [para(983(a,1),171(a,1,2))]. 988 T(T(x,x / y) / y,x) = x / y. [para(21(a,1),984(a,1,2))]. 989 T(x,x / y) / y = (x * (x / y)) / x. [para(988(a,1),167(a,1,1,2)),flip(a)]. 990 T(x \ T(y,y / x),y) = T(y / x,x). [para(988(a,1),185(a,1,1)),flip(a)]. 991 ((x * (x / y)) / x) * y = T(x,x / y). [para(989(a,1),21(a,1,1))]. 992 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(989(a,1),226(a,1,1)),flip(b)]. 993 T(x \ T(y,y / x),y) = x \ y. [hyper(255,a,129,a(flip),b,990,a)]. 994 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(70(a,1),993(a,1,1,2,2))]. 995 x \ T(y,y / x) = (y * (x \ y)) / y. [para(993(a,1),167(a,1,1,2)),flip(a)]. 996 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(255,a,789,a(flip),b,991,a(flip)),flip(a)]. 997 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(995(a,1),220(a,1,2)),flip(b)]. 998 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(73(a,1),996(a,1,2,1,2))]. 999 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(782(a,2),996(a,1,2))]. 1000 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(167(a,1),998(a,1,2)),flip(a)]. 1002 K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(967(a,1),106(a,1,1)),flip(a)]. 1003 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(940(a,1),295(a,1,2,2))]. 1004 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(114(a,1),428(a,1,2,1))]. 1005 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(241(a,1),428(a,1,2,1))]. 1006 x * (T(y,x) * L(z,x,y)) = y * (x * L(z,T(y,x),x)). [hyper(255,a,430,a(flip),b,429,a(flip)),flip(a)]. 1007 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(114(a,1),429(a,1,2,1))]. 1008 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(241(a,1),429(a,1,2,1))]. 1009 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(255,a,97,a(flip),b,433,a)]. 1010 K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(505(a,1),433(a,1,2))]. 1011 L(x / (y * x),z,u) * (y * x) = (L(1 / y,z,u) * y) * x. [para(163(a,1),460(a,1,1,1))]. 1012 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(123(a,1),460(a,1,1,1))]. 1013 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(253(a,1),460(a,1,1,1)),flip(a)]. 1014 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(123(a,1),461(a,1,1,1))]. 1015 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(927(a,1),487(a,1,1,1))]. 1016 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(491(a,2),24(a,1))]. 1017 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(437(a,1),491(a,1,2,1)),flip(a)]. 1018 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(437(a,1),492(a,1,2,1)),flip(a)]. 1019 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(494(a,1),492(a,1,2,1))]. 1020 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(339(a,1),495(a,1,2,1))]. 1021 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(436(a,1),495(a,1,2,1))]. 1022 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(662(a,1),495(a,1,2,1))]. 1023 L(x \ 1,y,z) / (x \ 1) = L(1 / x,y,z) * x. [para(348(a,1),498(a,1,1,1))]. 1024 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(472(a,1),498(a,1,1,1))]. 1025 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [hyper(255,a,762,a(flip),b,1023,a)]. 1026 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(1025(a,1),21(a,1,1))]. 1027 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [para(1025(a,1),73(a,1,1))]. 1028 ((x * y) \ x) / (y \ 1) = y * ((x * y) \ x). [para(162(a,1),1025(a,1,1))]. 1029 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [para(1028(a,1),21(a,1,1))]. 1030 ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). [para(1029(a,1),104(a,1,1))]. 1032 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1026(a,1),31(a,2,1)),flip(a)]. 1033 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(19(a,1),1027(a,1,1,2,1))]. 1034 R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. [para(501(a,2),25(a,1))]. 1035 R(1 / (1 / x),y,z) * (1 / x) = R(x / 1,y,z) / x. [para(351(a,1),501(a,1,1,1)),flip(a)]. 1036 L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). [para(352(a,2),502(a,1,1,1))]. 1037 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(725(a,1),502(a,1,1,1))]. 1038 T(L(x,y,z),1 / x) / x = L(x,y,z) * (1 / x). [para(45(a,1),1037(a,1,1))]. 1039 (1 / x) \ (L(x,y,z) / x) = L(x,y,z). [hyper(23,a,967,a,b,1038,a(flip)),flip(a)]. 1040 (1 / x) * L(x,y,z) = L(x,y,z) / x. [para(1039(a,1),19(a,1,2))]. 1041 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [para(1039(a,1),70(a,1,2))]. 1042 L(x,y,z) \ (L(x,y,z) / x) = T(1 / x,L(x,y,z)). [hyper(172,a,1040,a,b,19,a),flip(a)]. 1044 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1040(a,1),114(a,2,1))]. 1045 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(1040(a,1),618(a,1,2))]. 1047 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(506(a,1),433(a,1,2))]. 1048 (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. [para(507(a,1),224(a,1,2))]. 1049 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(507(a,1),433(a,1,2))]. 1050 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(366,a,551,a)]. 1051 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(677(a,1),418(a,1,2)),flip(a)]. 1052 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(682(a,1),300(a,1,1)),flip(a)]. 1053 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(768(a,1),112(a,1,2))]. 1054 (x * y) * ((z * ((x * y) \ x)) / z) != u | x * (y * ((z * (y \ 1)) / z)) = u. [para(768(a,1),224(a,1,2))]. 1055 (x * y) * L((x * (y \ 1)) / x,y,x) = T(x,x / (x * y)). [para(768(a,2),996(a,1,2))]. 1056 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(350(a,1),777(a,1,1,2))]. 1057 L(T(x / y,z),u,w) * y != v5 | y * L(T(y \ x,z),u,w) = v5. [para(400(a,1),801(a,1,1,1))]. 1059 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(808(a,1),122(a,1,1))]. 1061 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(18(a,1),919(a,1,1,1)),flip(a)]. 1062 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(978(a,2),377(a,1,2)),flip(a)]. 1063 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(224,a,999,a)]. 1064 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(1009(a,1),24(a,1)),flip(a)]. 1068 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(545(a,1),569(a,1,2))]. 1069 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(22,a,184,a,b,581,a),flip(a)]. 1070 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(80,a,1069,a(flip),b,312,a),flip(a)]. 1072 (x * y) * T((x * y) \ y,z) = (T(1 / x,z) * x) * y. [hyper(624,a,659,a)]. 1073 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(361,a,702,a),flip(a)]. 1074 T(x,y) * (x * z) = x * (T(x,y) * z). [para(182(a,1),1073(a,1,2)),flip(a)]. 1075 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(533,a,1074,a)]. 1076 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(530,a,1074,a),flip(a)]. 1077 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(514,a,1074,a)]. 1078 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(310,a,1074,a),flip(a)]. 1079 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(255,a,97,a(flip),b,1074,a)]. 1080 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(172,a,1074,a,b,242,a)]. 1081 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(80,a,97,a(flip),b,1074,a)]. 1082 x * (T(x,y) \ (x \ z)) = T(x,y) \ z. [hyper(80,a,66,a(flip),b,1074,a),flip(a)]. 1083 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(80,a,64,a(flip),b,1074,a),flip(a)]. 1084 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(21(a,1),1074(a,1,2)),flip(a)]. 1086 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(127(a,1),1074(a,1,2)),flip(a)]. 1087 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(129(a,1),1074(a,1,1)),flip(a)]. 1089 (T(x,y) \ 1) \ (T(x,y) \ x) = T(x,T(x,y) \ 1). [hyper(172,a,1083,a,b,19,a),flip(a)]. 1090 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(96,a,1083,a)]. 1091 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(87,a,1083,a)]. 1092 T(x / y,y) \ (x / y) = (x / y) * ((y \ x) \ 1). [para(129(a,1),1083(a,1,2,1)),flip(a)]. 1093 x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z. [para(1083(a,1),222(a,1,2)),flip(b)]. 1095 L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). [para(1083(a,1),192(a,1,2)),flip(a)]. 1096 T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). [para(1083(a,1),858(a,1,1,2))]. 1097 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(1090(a,1),959(a,2,1))]. 1098 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(87,a,1076,a)]. 1099 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(1077(a,1),89(a,1,1)),flip(a),flip(b)]. 1100 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(355,a,1079,a),flip(a)]. 1101 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(22,a,418,a,b,1079,a)]. 1102 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(22,a,264,a,b,1079,a)]. 1103 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(1079(a,1),222(a,1,2)),flip(b)]. 1104 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(129(a,1),1100(a,1,2,1))]. 1105 T(x,x \ y) \ (x * z) = x * (((x \ y) \ y) \ z). [para(128(a,1),1081(a,2,2,1))]. 1106 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(1098(a,2),220(a,1,2)),flip(b)]. 1107 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(1098(a,1),297(a,1,2))]. 1108 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(172,a,724,a,b,1086,a)]. 1109 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(22,a,418,a,b,1086,a)]. 1111 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(1097(a,1),21(a,1,1))]. 1112 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(129(a,1),1104(a,2,2))]. 1113 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(18(a,1),1112(a,1,2,1))]. 1114 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(129(a,1),1111(a,1,1)),flip(a)]. 1115 T(x,y) = ((x * y) / x) * (y \ x). [para(18(a,1),1113(a,2,2)),flip(a)]. 1116 T(x,y) / (y \ x) = (x * y) / x. [hyper(81,a,1115,a,b,xx)]. 1117 ((x * y) / x) \ T(x,y) = y \ x. [hyper(80,a,1115,a,b,xx)]. 1118 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(21(a,1),1115(a,2,1,1)),flip(a)]. 1120 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(354(a,1),1115(a,2,2)),flip(a)]. 1121 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(379(a,1),1115(a,2,2)),flip(a)]. 1122 T(x * y,y) / T(x,y) = ((x * y) * y) / (x * y). [para(37(a,2),1116(a,1,2))]. 1125 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(81,a,166,a(flip),b,1118,a),flip(a)]. 1127 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(18(a,1),1106(a,1,2,2))]. 1128 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(1100(a,1),1106(a,1))]. 1129 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(1100(a,1),1127(a,1))]. 1130 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(396(a,1),1084(a,1,2))]. 1131 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [para(129(a,1),1092(a,1,1)),flip(a)]. 1132 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(255,a,950,a(flip),b,1131,a(flip)),flip(a)]. 1133 (x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1). [para(18(a,1),1131(a,1,2,1)),flip(a)]. 1134 ((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1). [para(73(a,1),1131(a,1,2,1)),flip(a)]. 1135 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(944(a,1),1102(a,1,2))]. 1137 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(1130(a,2),24(a,2))]. 1138 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(624,a,705,a)]. 1139 (1 / x) \ (((1 / x) \ 1) \ T((1 / x) \ 1,y)) = x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1). [hyper(80,a,815,a(flip),b,855,a)]. 1140 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(87,a,851,a)]. 1141 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(624,a,852,a),flip(a)]. 1142 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(408,a,866,a)]. 1143 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(81,a,1142,a,b,396,a)]. 1144 (((x / y) \ 1) * (x / y)) * y = x * T(x \ y,x / y). [hyper(624,a,870,a),flip(a)]. 1145 (x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x). [para(396(a,1),909(a,2,1))]. 1146 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [para(18(a,1),961(a,1,2)),flip(a)]. 1147 x \ (((y * x) / y) \ x) = ((y * x) / y) \ 1. [hyper(87,a,1146,a)]. 1148 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(407(a,1),1146(a,1,2,1)),flip(a)]. 1149 (1 / (x / (x / y))) * y = y / (x / (x / y)). [para(73(a,1),970(a,1,1)),flip(a)]. 1150 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(17(a,1),1017(a,2,2,1))]. 1151 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(241(a,1),1017(a,1,2)),flip(a)]. 1152 T(x,y) \ L(T(x,y) * (T(x,y) \ x),z,u) = (T(x,y) \ 1) * L(T(x,T(x,y) \ 1),z,u). [para(1089(a,1),1017(a,1,2,1)),flip(a)]. 1153 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(255,a,572,a(flip),b,1150,a(flip)),flip(a)]. 1154 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(80,a,1150,a(flip),b,572,a(flip))]. 1155 L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [para(1153(a,1),593(a,1,1,2)),flip(a)]. 1156 x \ T(x * (x \ L(x,y,z)),u) = T(L(x,y,z),u) * (x \ 1). [para(1153(a,1),922(a,1,2,1,2))]. 1157 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(342(a,1),1154(a,1,1))]. 1158 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(17(a,1),1018(a,2,2,1))]. 1159 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(255,a,581,a(flip),b,1158,a(flip)),flip(a)]. 1160 (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). [hyper(81,a,1158,a(flip),b,581,a(flip))]. 1161 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(80,a,1158,a(flip),b,581,a(flip))]. 1162 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(81,a,1159,a(flip),b,184,a)]. 1163 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(1159(a,1),104(a,1,1))]. 1164 R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [para(1159(a,1),593(a,1,1,2)),flip(a)]. 1165 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1159(a,1),627(a,2,1))]. 1167 x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). [para(19(a,1),1021(a,1,2,1)),flip(a)]. 1168 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(255,a,183,a(flip),b,1022,a)]. 1169 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(342(a,1),1168(a,1,2)),flip(a)]. 1170 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(255,a,570,a(flip),b,1024,a)]. 1171 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [para(68(a,1),1035(a,2,1,1))]. 1172 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(788,a,1171,a)]. 1173 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(255,a,582,a(flip),b,1171,a(flip)),flip(a)]. 1174 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [hyper(302,a,1173,a),flip(a)]. 1175 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(172,a,1173,a,b,19,a),flip(a)]. 1176 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1173(a,1),173(a,2)),flip(a)]. 1177 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1173(a,1),114(a,2,1))]. 1178 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1175(a,1),642(a,1,1,2))]. 1179 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(17(a,1),1050(a,2,1))]. 1180 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(87,a,1179,a)]. 1181 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(80,a,351,a(flip),b,1179,a),flip(a)]. 1182 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(22,a,644,a,b,1179,a)]. 1184 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(593(a,2),1179(a,1,2))]. 1185 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(255,a,163,a(flip),b,1184,a)]. 1186 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(172,a,1185,a,b,19,a),flip(a)]. 1188 x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. [para(1180(a,1),646(a,1))]. 1189 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(255,a,789,a(flip),b,1056,a)]. 1190 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(396(a,1),1072(a,2,1))]. 1191 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(129(a,1),1087(a,1,2,1))]. 1192 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(166(a,1),1087(a,1,2,1)),flip(a)]. 1193 (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). [hyper(533,a,1191,a)]. 1194 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [para(18(a,1),1133(a,1,1)),flip(a)]. 1195 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [para(73(a,1),1134(a,1,1)),flip(a)]. 1196 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(255,a,968,a(flip),b,1195,a(flip)),flip(a)]. 1197 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [hyper(255,a,656,a(flip),b,1138,a(flip))]. 1198 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(70(a,1),1197(a,1,1,1,2)),flip(a)]. 1199 ((x \ R(1 / y,y,x)) * x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(163(a,2),1197(a,1,1,1,2))]. 1200 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(669,a,1140,a)]. 1201 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(80,a,388,a(flip),b,1140,a(flip))]. 1203 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(255,a,939,a(flip),b,1200,a)]. 1204 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(255,a,924,a(flip),b,1200,a)]. 1205 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(81,a,1200,a,b,396,a)]. 1206 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(944(a,1),1200(a,1,1))]. 1207 T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x). [para(1200(a,2),1086(a,1,2)),flip(a)]. 1209 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1116(a,1),1201(a,1,2,1,2))]. 1210 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(1203(a,2),21(a,1,1)),flip(a)]. 1211 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(587(a,1),1203(a,2,1))]. 1212 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(969(a,1),1203(a,1,1))]. 1213 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(129(a,1),1204(a,2,2))]. 1214 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(166(a,1),1204(a,2,2))]. 1215 K(R(x \ 1,y,z) \ (x * R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(1174(a,1),1204(a,1,1,2))]. 1217 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(1161(a,1),1213(a,2,2))]. 1218 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(396(a,1),1141(a,1,1))]. 1219 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(926(a,1),1141(a,1,1))]. 1220 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(189(a,2),1144(a,1,1))]. 1221 (x \ (y \ x)) * x = (y * T(y \ 1,x)) * (y \ x). [para(16(a,1),1145(a,1,1,2))]. 1222 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [hyper(172,a,1221,a(flip),b,263,a)]. 1224 T(x * T(x \ 1,L(x,y,z)),x \ L(x,y,z)) = K(x \ 1,L(x,y,z)). [para(1154(a,1),1222(a,2,1))]. 1225 L(x \ ((1 / x) \ y),z,u) = x \ ((1 / x) \ L(y,z,u)). [hyper(87,a,1167,a),flip(a)]. 1226 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(73(a,1),1170(a,1,1,1,2))]. 1227 T(x,x * T(x \ 1,y)) = x. [hyper(172,a,656,a(flip),b,1190,a(flip))]. 1228 T(x,(x \ 1) * x) = x. [para(127(a,1),1227(a,1,2))]. 1229 T(x,K(x \ 1,x)) = x. [para(289(a,1),1227(a,1,2))]. 1230 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1227(a,1),721(a,1,1))]. 1231 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(398(a,1),1227(a,1,2))]. 1232 T(x \ 1,x \ T(x,y)) = x \ 1. [para(924(a,1),1227(a,1,2))]. 1233 T(1 / x,T(x,y) / x) = 1 / x. [para(939(a,1),1227(a,1,2))]. 1234 R(x,x \ 1,x) = T(x,x \ 1). [para(1228(a,1),718(a,1,1))]. 1235 K(x \ 1,x) * x = x * K(x \ 1,x). [para(1229(a,1),127(a,1,2))]. 1236 R(x,x \ 1,x) = (x \ 1) \ 1. [hyper(255,a,128,a(flip),b,1234,a)]. 1237 T(x,x \ 1) \ x = (x \ 1) * x. [para(1234(a,1),379(a,1,1))]. 1238 ((x \ 1) \ 1) \ x = (x \ 1) * x. [para(1236(a,1),379(a,1,1))]. 1239 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(40,a,1232,a)]. 1240 (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). [para(1232(a,1),127(a,1,2))]. 1241 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1233(a,1),404(a,1,1,2)),flip(a)]. 1242 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(172,a,1237,a(flip),b,1083,a),flip(a)]. 1244 ((x \ 1) \ 1) \ x = K(x \ 1,x). [hyper(255,a,189,a,b,1238,a)]. 1245 ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. [para(1238(a,2),315(a,1))]. 1246 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [hyper(360,a,1242,a)]. 1247 1 / T(x \ 1,x) = T(x,x \ 1). [para(1242(a,1),70(a,1,2))]. 1248 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(128(a,1),1242(a,1,1)),flip(a)]. 1249 T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. [para(564(a,1),1242(a,1,1)),flip(a)]. 1250 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1244(a,1),19(a,1,2))]. 1251 T(x \ 1,(x \ 1) \ 1) = T(x \ 1,x). [hyper(255,a,128,a,b,1248,a),flip(a)]. 1252 T((x \ 1) \ 1,x \ 1) = T(x \ 1,x) \ 1. [para(1248(a,2),1248(a,2,1))]. 1253 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1231(a,1),718(a,1,1))]. 1254 (x * K(x \ 1,x)) / (x * x) = R(x \ 1,x,x). [para(1235(a,1),293(a,1,1))]. 1255 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1239(a,1),667(a,1,1)),flip(a)]. 1256 T(x,1 / x) = (x \ 1) \ 1. [para(73(a,1),1249(a,1,1))]. 1257 T(x,1 / x) = T(x,x \ 1). [hyper(255,a,128,a,b,1256,a)]. 1258 R(x,1 / x,x) = (x \ 1) \ 1. [hyper(255,a,725,a,b,1256,a(flip)),flip(a)]. 1259 ((1 / x) * ((x \ 1) \ 1)) / (1 / x) = x. [para(1256(a,1),167(a,1,1,2))]. 1260 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1256(a,1),726(a,1,1))]. 1261 a(x,1 / x,x) = x \ ((x \ 1) \ 1). [para(1256(a,1),728(a,1,2)),flip(a)]. 1262 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1256(a,1),1037(a,1,1,1))]. 1263 L(T(x,x \ 1),1 / x,x) = T(x,x * (1 / x)). [para(1257(a,1),542(a,1,1))]. 1264 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1257(a,1),404(a,1,1,2))]. 1265 T(x,x \ 1) / x = K(x,1 / x). [para(1257(a,1),726(a,1,1))]. 1266 x \ T(x,x \ 1) = a(x,1 / x,x). [para(1257(a,1),728(a,1,2))]. 1267 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1257(a,1),727(a,2,1))]. 1268 K(x,1 / x) * x = (x \ 1) \ 1. [hyper(255,a,503,a,b,1258,a(flip)),flip(a)]. 1269 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(255,a,1132,a(flip),b,1260,a(flip)),flip(a)]. 1270 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(73(a,1),1260(a,1,1,1)),flip(a)]. 1271 (x \ 1) * K(x,1 / x) = 1 / x. [para(1269(a,1),19(a,1,2))]. 1272 (1 / x) / K(x,1 / x) = x \ 1. [para(1269(a,1),70(a,1,2))]. 1273 R(1 / x,x,1 / x) = x \ 1. [hyper(612,a,1272,a)]. 1274 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1273(a,1),353(a,1,1)),flip(a)]. 1275 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1274(a,1),149(a,1,1))]. 1276 L(T(x,x \ 1),1 / x,x) = T(x,K(x,1 / x)). [para(191(a,2),1263(a,2,2))]. 1277 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1267(a,1),648(a,1,2))]. 1278 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(73(a,1),1262(a,1,1,1,1)),flip(a)]. 1279 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1262(a,1),129(a,1,1))]. 1280 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(620,a,1264,a),flip(a)]. 1281 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(167(a,1),1280(a,1,1)),flip(a)]. 1282 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(255,a,666,a,b,1255,a),flip(a)]. 1283 T(K(x,y),x \ 1) = K(x,y). [para(31(a,2),1282(a,2,1)),flip(a)]. 1284 T(x \ 1,K(x,y)) = x \ 1. [hyper(40,a,1283,a)]. 1285 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [para(1283(a,1),127(a,1,2)),flip(a)]. 1286 (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. [para(1283(a,1),225(a,1,2))]. 1287 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(1284(a,1),344(a,2,1))]. 1288 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1284(a,1),398(a,1,2)),flip(a)]. 1289 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. [para(1214(a,2),128(a,1,2))]. 1290 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(407(a,1),1214(a,1,1,2,2,1))]. 1291 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1218(a,1),304(a,1,1)),flip(b)]. 1292 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(255,a,394,a(flip),b,1220,a)]. 1293 L((x \ 1) \ ((1 / (x \ 1)) \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(70(a,1),1225(a,2,2,1))]. 1294 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(167(a,1),1281(a,1,1)),flip(a)]. 1295 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(255,a,19,a(flip),b,1288,a)]. 1297 T(x,K(x \ 1,y)) = x. [hyper(94,a,1295,a)]. 1298 T(1 / x,K(x,y)) = 1 / x. [para(73(a,1),1297(a,1,2,1))]. 1299 K(x \ 1,y) * x = x * K(x \ 1,y). [para(1297(a,1),127(a,1,2))]. 1300 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1298(a,1),682(a,1,1)),flip(a)]. 1301 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(255,a,428,a(flip),b,583,a(flip)),flip(a)]. 1302 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(184(a,1),1301(a,1,2)),flip(a)]. 1303 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(533,a,1302,a)]. 1304 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(514,a,1302,a)]. 1305 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(310,a,1302,a),flip(a)]. 1306 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(87,a,1302,a)]. 1307 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(80,a,97,a(flip),b,1302,a)]. 1308 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(80,a,64,a(flip),b,1302,a),flip(a)]. 1309 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [hyper(172,a,1302,a(flip),b,242,a),flip(a)]. 1310 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(127(a,1),1302(a,1,2)),flip(a)]. 1312 (R(x,y,z) \ 1) * T(x,R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(229,a,1308,a)]. 1313 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1308(a,1),192(a,1,2)),flip(a)]. 1314 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1308(a,1),922(a,1,2,1,2))]. 1315 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(122(a,1),1303(a,1,2)),flip(a)]. 1316 x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. [para(1304(a,1),219(a,1,1)),flip(b)]. 1317 R(x,y,x) * (x \ (y * x)) = T(x * y,x). [hyper(172,a,122,a(flip),b,1305,a),flip(a)]. 1318 R(x,y,x) * T(y,x) = T(x * y,x). [para(37(a,2),1317(a,1,2))]. 1319 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(87,a,1318,a)]. 1320 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(96,a,1315,a),flip(a)]. 1322 (L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * y. [para(474(a,1),654(a,1,1,1)),flip(a)]. 1323 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(350(a,1),655(a,1,1,1))]. 1324 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(439(a,1),673(a,1,2,1)),flip(a)]. 1325 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(678(a,1),418(a,1,2)),flip(a)]. 1326 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(683(a,1),300(a,1,1)),flip(a)]. 1327 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(255,a,460,a(flip),b,719,a(flip))]. 1328 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(255,a,461,a(flip),b,720,a(flip))]. 1330 (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). [para(112(a,1),774(a,1,1,1,1))]. 1331 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(114(a,1),802(a,1,2,1,2))]. 1332 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(241(a,1),802(a,1,2,1,2))]. 1333 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(803(a,1),419(a,1,2)),flip(a)]. 1334 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(80,a,804,a(flip),b,192,a)]. 1335 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(80,a,805,a(flip),b,190,a),flip(a)]. 1336 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(81,a,812,a(flip),b,194,a),flip(a)]. 1337 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(838(a,1),430(a,1,2))]. 1338 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(230,a,844,a)]. 1339 (x * T(y,z)) * y = (x * y) * T(y,z). [para(397(a,1),1338(a,1,1))]. 1340 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(535,a,1339,a)]. 1341 (1 / T(x,y)) * x = x / T(x,y). [hyper(371,a,1339,a),flip(a)]. 1342 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(308,a,1339,a),flip(a)]. 1343 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(255,a,98,a(flip),b,1339,a)]. 1344 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(87,a,1339,a)]. 1345 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(81,a,98,a(flip),b,1339,a)]. 1346 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(81,a,78,a(flip),b,1339,a),flip(a)]. 1347 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [hyper(80,a,98,a(flip),b,1339,a)]. 1348 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(129(a,1),1339(a,1,1,2)),flip(a)]. 1349 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(87,a,1341,a)]. 1350 (1 / T(x,y)) * x != z | x / T(x,y) = z. [para(1349(a,1),220(a,1,2)),flip(b)]. 1351 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1349(a,1),965(a,2,1))]. 1352 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1349(a,1),967(a,1,1)),flip(a)]. 1353 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1340(a,2),173(a,2)),flip(a)]. 1354 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1000(a,2),1342(a,1,1))]. 1355 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1344(a,1),1061(a,1,1)),flip(a)]. 1356 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(547(a,1),1355(a,1,1,2))]. 1357 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [para(1351(a,1),70(a,1,2))]. 1358 T((T(x,y) / T(x,z)) * T(x,z),u) / T(x,z) = (1 / T(x,z)) * T(T(x,y),u). [para(1351(a,1),935(a,1,2,1)),flip(a)]. 1359 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1354(a,1),1086(a,1,2)),flip(a)]. 1360 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1294(a,1),1352(a,1,1))]. 1361 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(96,a,1359,a),flip(a)]. 1362 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1360(a,1),1346(a,1,1,1))]. 1363 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(255,a,1000,a(flip),b,1361,a(flip))]. 1364 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(759,a,1363,a)]. 1365 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(129(a,1),1348(a,1,2))]. 1366 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(166(a,1),1348(a,1,2)),flip(a)]. 1367 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(535,a,1365,a)]. 1368 ((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y). [hyper(534,a,1365,a),flip(a)]. 1369 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(81,a,98,a(flip),b,1365,a)]. 1370 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [para(846(a,1),573(a,1,2))]. 1371 T(x,y) / x != z | (1 / x) * T(x,y) = z. [para(937(a,1),875(a,1))]. 1372 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(255,a,670,a(flip),b,876,a)]. 1373 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(1372(a,1),73(a,1,1))]. 1375 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(255,a,404,a(flip),b,906,a)]. 1376 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(1075(a,1),907(a,1,1,1))]. 1378 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(224,a,1055,a)]. 1379 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(80,a,1055,a(flip),b,112,a(flip))]. 1381 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(81,a,1379,a(flip),b,927,a)]. 1382 (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). [para(1159(a,1),1381(a,1,1,2,1))]. 1384 T((1 * x) / y,K(y / x,z)) = x / y. [hyper(255,a,351,a(flip),b,1300,a)]. 1385 T(x / y,K(y / x,z)) = x / y. [para(16(a,1),1384(a,1,1,1))]. 1386 T(x \ y,K(x / y,z)) = T(y / x,x). [para(1385(a,1),185(a,1,1)),flip(a)]. 1387 T(x \ y,K(x / y,z)) = x \ y. [hyper(255,a,129,a(flip),b,1386,a)]. 1388 (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). [para(122(a,1),424(a,1,2))]. 1389 (x * y) \ ((z * y) * R(x / z,z,y)) = K(z * y,R(x / z,z,y)). [para(21(a,1),456(a,1,1,1))]. 1390 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(619(a,2),24(a,1))]. 1391 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(114(a,1),739(a,1,2,1))]. 1392 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(255,a,1194,a(flip),b,790,a)]. 1394 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(112(a,1),821(a,1,1))]. 1396 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(826(a,1),1153(a,1,1)),flip(a)]. 1397 (x * y) * R((x * y) \ y,z,u) = (R(1 / x,z,u) * x) * y. [hyper(788,a,827,a)]. 1398 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [hyper(255,a,1138,a(flip),b,831,a(flip)),flip(a)]. 1399 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(19(a,1),1398(a,1,1,1,2,1)),flip(a)]. 1400 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(848(a,1),1399(a,1,2)),flip(a)]. 1401 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(935(a,1),1399(a,1,2)),flip(a)]. 1402 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(956(a,2),1399(a,1,2)),flip(a)]. 1403 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(67(a,1),1402(a,1,1,1,2)),flip(a)]. 1405 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(189(a,2),1403(a,2,1))]. 1406 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(18(a,1),1405(a,1,2,2)),flip(a)]. 1407 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(37(a,2),1405(a,1,2,2))]. 1408 K(x \ 1,x) * y != x * (K(x \ 1,x) * z) | x * z = y. [para(1406(a,1),24(a,1)),flip(a)]. 1409 x * (K(x \ 1,x) * (x \ y)) != z | K(x \ 1,x) * y = z. [para(1406(a,1),310(a,1))]. 1410 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1406(a,1),179(a,1,2))]. 1411 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(255,a,1190,a(flip),b,832,a(flip))]. 1412 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(127(a,1),1411(a,1,2)),flip(a)]. 1413 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(229,a,1412,a)]. 1414 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(96,a,1412,a)]. 1415 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1161(a,1),1414(a,1,1,2,1))]. 1416 (T((x / y) / z,u) * z) * y = (z * y) * T((z * y) \ x,u). [hyper(255,a,396,a(flip),b,842,a)]. 1417 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(362,a,854,a),flip(a)]. 1418 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(183(a,1),1417(a,1,2)),flip(a)]. 1419 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(533,a,1418,a)]. 1420 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(530,a,1418,a),flip(a)]. 1421 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(310,a,1418,a),flip(a)]. 1422 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(87,a,1418,a)]. 1423 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(80,a,97,a(flip),b,1418,a)]. 1424 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(80,a,64,a(flip),b,1418,a),flip(a)]. 1425 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). [hyper(172,a,1418,a(flip),b,242,a),flip(a)]. 1426 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(80,a,1418,a(flip),b,104,a)]. 1427 x * (L(x,y,z) * T(u,x)) = L(x,y,z) * (u * x). [para(127(a,1),1418(a,1,2)),flip(a)]. 1429 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(87,a,1424,a)]. 1430 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1424(a,1),31(a,2,1)),flip(a)]. 1431 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1424(a,1),192(a,1,2)),flip(a)]. 1432 T((1 / x) * (L(x,y,z) \ x),x) = (1 / x) * ((L(x,y,z) \ 1) * x). [para(1424(a,1),858(a,1,1,2))]. 1433 T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(1424(a,2),1222(a,1,2))]. 1434 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(80,a,37,a,b,1420,a),flip(a)]. 1437 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1422(a,1),1375(a,1,1,1)),flip(a)]. 1438 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(189(a,2),1423(a,1,2))]. 1439 T(1 / (1 / x),x \ 1) = x. [hyper(255,a,1259,a(flip),b,911,a(flip))]. 1440 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1439(a,1),43(a,1,1)),flip(a)]. 1441 T(1 / (1 / (1 / x)),x) = 1 / x. [para(73(a,1),1439(a,1,2))]. 1442 (1 / (1 / x)) * (x \ 1) = (x \ 1) * x. [para(1439(a,1),127(a,1,2)),flip(a)]. 1443 T(x,x \ 1) / x = K(x,x \ 1). [para(1439(a,1),1212(a,1,1)),flip(a)]. 1444 (1 / (1 / (1 / x))) * x = x * (1 / x). [para(1441(a,1),127(a,1,2)),flip(a)]. 1445 K(x,1 / x) = K(x,x \ 1). [hyper(255,a,1265,a(flip),b,1443,a(flip)),flip(a)]. 1446 K(x,x \ 1) * x = T(x,x \ 1). [para(1443(a,1),21(a,1,1))]. 1447 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(128(a,1),1443(a,1,1))]. 1448 K(x,x \ 1) = x * (1 / x). [hyper(365,a,1445,a),flip(a)]. 1449 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(255,a,616,a,b,1445,a(flip)),flip(a)]. 1450 x \ K(x,x \ 1) = 1 / x. [hyper(80,a,1445,a(flip),b,191,a(flip))]. 1451 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(70(a,1),1445(a,1,2)),flip(a)]. 1452 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1445(a,1),391(a,1,1))]. 1453 K(x,x \ 1) != y | x * (1 / x) = y. [para(1445(a,1),365(a,1))]. 1454 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1445(a,1),796(a,1,2))]. 1455 K(x,x \ 1) * (x \ 1) = 1 / x. [para(1445(a,1),799(a,1,1))]. 1456 K(x,x \ 1) * x = (x \ 1) \ 1. [para(1445(a,1),1268(a,1,1))]. 1457 (x \ 1) * K(x,x \ 1) = 1 / x. [para(1445(a,1),1271(a,1,2))]. 1458 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(255,a,390,a,b,1448,a(flip)),flip(a)]. 1460 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1448(a,2),1103(a,1,2))]. 1461 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1448(a,2),832(a,1,1))]. 1462 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1448(a,2),1418(a,1,2))]. 1463 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1448(a,2),1423(a,1,2))]. 1464 x * (1 / x) != y | K(x,x \ 1) = y. [para(1450(a,1),220(a,1,2)),flip(b)]. 1465 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). [para(1446(a,1),112(a,1,1))]. 1466 T(x,x \ 1) \ (K(x,x \ 1) * y) = L(x \ y,x,K(x,x \ 1)). [para(1446(a,1),114(a,2,1)),flip(a)]. 1467 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1446(a,1),422(a,1,1))]. 1468 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) != z | L(y,K(y,y \ 1),x) = z. [para(1446(a,1),431(a,1,2,2))]. 1469 x * L(y,K(x,x \ 1),1 / (1 / x)) = (1 / (1 / x)) * (K(x,x \ 1) * y). [para(1454(a,1),112(a,1,1))]. 1470 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(1454(a,1),122(a,1,2))]. 1471 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1454(a,1),123(a,2,2))]. 1472 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1455(a,1),483(a,1,1))]. 1474 ((x \ 1) \ 1) / L(y \ x,y,K(x,x \ 1)) = K(x,x \ 1) * y. [para(1456(a,1),417(a,1,1))]. 1475 K(x,1 / x) != y | K(x,x \ 1) = y. [para(191(a,2),1464(a,1))]. 1477 (x \ 1) / (1 / x) = (x \ 1) * x. [hyper(255,a,968,a(flip),b,1442,a(flip)),flip(a)]. 1478 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(255,a,189,a,b,1477,a)]. 1479 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(255,a,1270,a,b,1478,a(flip)),flip(a)]. 1480 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(255,a,1196,a(flip),b,1478,a(flip)),flip(a)]. 1481 K(x \ 1,x) * (1 / x) = x \ 1. [para(1478(a,1),21(a,1,1))]. 1482 K(x \ 1,x) \ (x \ 1) = 1 / x. [para(1478(a,1),73(a,1,1))]. 1483 x * K(x \ 1,x) = 1 / (1 / x). [para(1480(a,1),19(a,1,2))]. 1484 x * (T(x,y) \ K(x \ 1,x)) = T(x,y) \ (1 / (1 / x)). [para(1480(a,1),1082(a,1,2,2))]. 1486 T(1 / x,K(x \ 1,x)) = 1 / x. [hyper(695,a,1481,a)]. 1487 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1481(a,1),112(a,1,1))]. 1488 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(1481(a,1),114(a,2,1))]. 1489 L(x \ 1,x,x \ 1) = 1 / x. [hyper(609,a,1482,a)]. 1490 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1489(a,1),45(a,2,1))]. 1491 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1489(a,1),50(a,1,1)),flip(a)]. 1492 L(x,x \ 1,x) = 1 / (1 / x). [hyper(761,a,1483,a)]. 1494 (1 / (1 / x)) / (x * x) = R(x \ 1,x,x). [para(1483(a,1),1254(a,1,1))]. 1495 L(T(x,y),x \ 1,x) = T(1 / (1 / x),y). [para(1492(a,1),45(a,2,1))]. 1496 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1492(a,1),49(a,1,1)),flip(a)]. 1497 L(L(x,y,z),x \ 1,x) = L(1 / (1 / x),y,z). [para(1492(a,1),50(a,1,1)),flip(a)]. 1498 L((x * y) / x,y \ 1,y) = (x * (1 / (1 / y))) / x. [para(1492(a,1),767(a,2,1,2))]. 1499 L(1 / x,y,z) * K(x \ 1,x) = K(x \ 1,x) * L(1 / x,y,z). [para(1486(a,1),183(a,1,2,1)),flip(a)]. 1501 x / (1 / (1 / x)) = x * (1 / x). [hyper(255,a,1149,a(flip),b,1444,a(flip)),flip(a)]. 1502 x / (1 / (1 / x)) = K(x,x \ 1). [hyper(255,a,1448,a,b,1501,a)]. 1503 x / (1 / (1 / x)) = K(x,1 / x). [hyper(255,a,191,a,b,1501,a)]. 1504 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1502(a,1),21(a,1,1))]. 1505 K(x,x \ 1) \ x = 1 / (1 / x). [para(1502(a,1),73(a,1,1))]. 1506 K(x,1 / x) * (1 / (1 / x)) = x. [para(1503(a,1),21(a,1,1))]. 1507 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1504(a,1),112(a,1,1))]. 1508 L(x,1 / x,x) = 1 / (1 / x). [hyper(563,a,1506,a)]. 1509 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1508(a,1),45(a,2,1))]. 1510 T(L(x,1 / x,x),x \ 1) = x. [para(1508(a,2),1439(a,1,1))]. 1511 L(T(x,x \ 1),1 / x,x) = x. [hyper(255,a,45,a,b,1510,a(flip)),flip(a)]. 1512 T(x,K(x,1 / x)) = x. [hyper(255,a,1276,a(flip),b,1511,a(flip)),flip(a)]. 1513 T(K(x,1 / x),x) = K(x,1 / x). [hyper(40,a,1512,a)]. 1514 T(x,K(x,x \ 1)) = x. [para(1445(a,1),1512(a,1,2))]. 1515 L(x,y,z) * K(x,x \ 1) = K(x,x \ 1) * L(x,y,z). [para(1514(a,1),183(a,1,2,1)),flip(a)]. 1516 a(x,1 / x,x) = K(x,1 / x). [hyper(255,a,711,a(flip),b,1513,a(flip)),flip(a)]. 1517 x \ T(x,x \ 1) = K(x,1 / x). [hyper(255,a,1266,a,b,1516,a(flip)),flip(a)]. 1518 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(255,a,1261,a(flip),b,1516,a(flip)),flip(a)]. 1519 x \ T(x,x \ 1) = K(x,x \ 1). [hyper(255,a,1445,a(flip),b,1517,a)]. 1520 x \ ((x \ 1) \ 1) = K(x,x \ 1). [hyper(255,a,1445,a(flip),b,1518,a)]. 1521 K((x \ 1) \ 1,x \ 1) = K(x,1 / x). [hyper(255,a,693,a,b,1518,a(flip)),flip(a)]. 1522 x * K(x,x \ 1) = T(x,x \ 1). [para(1519(a,1),19(a,1,2))]. 1523 x * K(x,x \ 1) = (x \ 1) \ 1. [para(1519(a,1),275(a,2,2)),flip(a)]. 1524 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [hyper(255,a,693,a,b,1520,a(flip)),flip(a)]. 1525 T(x,x \ 1) * L(y,K(x,x \ 1),x) = x * (K(x,x \ 1) * y). [para(1522(a,1),112(a,1,1))]. 1526 L(K(x,x \ 1) \ y,K(x,x \ 1),x) = T(x,x \ 1) \ (x * y). [para(1522(a,1),114(a,2,1))]. 1528 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(1522(a,1),466(a,1,1,1))]. 1529 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1475,a,1479,a)]. 1530 K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,1 / (x \ 1)). [para(1248(a,2),1521(a,1,1))]. 1532 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(1524(a,1),1405(a,1,2,1))]. 1533 K(1 / x,x) = K(x \ 1,x). [para(73(a,1),1529(a,1,2))]. 1534 K(1 / (1 / x),1 / x) = K(x,x \ 1). [hyper(255,a,1449,a(flip),b,1533,a)]. 1535 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(255,a,1452,a,b,1533,a(flip)),flip(a)]. 1536 K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(T(x,x \ 1),T(x \ 1,x)). [para(1247(a,1),1533(a,1,1)),flip(a)]. 1538 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1490(a,1),433(a,1,2))]. 1539 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = L(R(x \ 1,x,x),y,z) * (x * x). [para(1494(a,1),570(a,1,1,1)),flip(a)]. 1540 T(1 / (1 / x),y) / ((x \ 1) * T(x,y)) = x. [hyper(81,a,1495,a(flip),b,190,a)]. 1541 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(255,a,1003,a,b,1509,a(flip)),flip(a)]. 1542 K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1491(a,1),433(a,1,2))]. 1543 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(255,a,1462,a(flip),b,1515,a(flip))]. 1544 K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,x). [para(70(a,1),1530(a,2,2))]. 1545 K(T(x \ 1,x),T(x,x \ 1)) = K(x \ 1,x). [para(128(a,2),1544(a,1,2))]. 1546 K(T((x \ 1) \ 1,x \ 1),T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). [hyper(255,a,1524,a(flip),b,1545,a)]. 1547 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1541(a,1),19(a,1,2))]. 1549 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1445(a,1),1547(a,1,1))]. 1550 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(1505(a,2),1549(a,1,2,1))]. 1551 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(167(a,1),917(a,1,2,2))]. 1552 (x * y) * L((x * y) \ y,z,u) = (L(1 / x,z,u) * x) * y. [hyper(780,a,1011,a)]. 1553 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(87,a,1051,a)]. 1554 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(17(a,1),1051(a,2,2,1,2))]. 1555 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(87,a,1554,a),flip(a)]. 1556 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(289(a,1),1554(a,1,2)),flip(a)]. 1557 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1200(a,2),1554(a,1,2)),flip(a)]. 1558 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(966,a,1557,a)]. 1559 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(80,a,1557,a,b,xx),flip(a)]. 1560 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(255,a,925,a(flip),b,1557,a(flip))]. 1561 K(x \ (x / (y \ (z \ y))),x) = y \ (T(z,x) * (z \ y)). [hyper(80,a,398,a(flip),b,1557,a(flip)),flip(a)]. 1562 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(18(a,1),1557(a,1,2,1)),flip(a)]. 1563 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(31(a,2),1557(a,2,2,1,2,2))]. 1564 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(33(a,2),1557(a,2,2,1,2,2))]. 1565 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(20(a,1),1559(a,1,1,2))]. 1566 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(37(a,2),1559(a,1,1,2,2))]. 1567 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(73(a,1),1559(a,2,2,2,1))]. 1569 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1559(a,1),975(a,1,2,2))]. 1570 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(994(a,1),1569(a,1,2,2,2,2))]. 1571 T(x,x * (T(x,y) \ x)) = x. [para(19(a,1),1570(a,1,2,2,2))]. 1572 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1571(a,1),43(a,1,1)),flip(a)]. 1573 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(18(a,1),1556(a,1,2,1)),flip(a)]. 1574 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(21(a,1),1558(a,1,1,1)),flip(a)]. 1575 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(894(a,1),1567(a,2,2))]. 1576 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(81,a,396,a(flip),b,1052,a)]. 1577 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(16(a,1),1052(a,2,1,1,1))]. 1578 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(255,a,396,a(flip),b,1577,a)]. 1579 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(396(a,1),1578(a,1,1))]. 1581 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1200(a,2),1579(a,1,1))]. 1582 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(96,a,1581,a),flip(a)]. 1583 K(x \ (x / ((y * z) / y)),x) = (y * (z * T(z \ 1,x))) / y. [hyper(81,a,656,a(flip),b,1581,a),flip(a)]. 1584 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [para(20(a,1),1582(a,1,1,2))]. 1585 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(35(a,2),1582(a,1,1,2,2))]. 1586 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(994(a,1),1582(a,2,1,2))]. 1587 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(255,a,1572,a(flip),b,1080,a(flip))]. 1588 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1587(a,1),70(a,1,2))]. 1589 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1353,a,1588,a)]. 1590 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1588(a,2),618(a,1,2))]. 1591 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1589(a,1),396(a,1,1)),flip(a)]. 1592 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(129(a,1),1114(a,1,2)),flip(a)]. 1593 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(70(a,1),1592(a,1,2,1,1)),flip(a)]. 1594 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(255,a,809,a(flip),b,1120,a(flip)),flip(a)]. 1595 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(789(a,1),1594(a,1,1))]. 1596 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(1083(a,1),1595(a,1,1,2,1))]. 1597 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1379(a,2),1595(a,1,1)),flip(a)]. 1598 T(L(x,y,z),u) * (x \ 1) = x \ T(L(x,y,z),u). [para(19(a,1),1156(a,1,2,1)),flip(a)]. 1600 T(L(x,y,z),u) * (x \ 1) = x \ L(T(x,u),y,z). [para(45(a,2),1598(a,2,2))]. 1601 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [para(45(a,2),1600(a,1,1))]. 1602 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(18(a,1),1192(a,1,1)),flip(a)]. 1603 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(533,a,1602,a)]. 1604 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(80,a,97,a(flip),b,1602,a)]. 1605 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(674,a,1603,a),flip(a)]. 1606 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(880(a,1),1198(a,1,2)),flip(a)]. 1607 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(105(a,1),1606(a,2,2))]. 1608 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(18(a,1),1607(a,1,1,1))]. 1609 (x * y) * ((y * x) \ y) = y * K(x,y). [para(18(a,1),1608(a,2,2,1))]. 1611 (x * y) * L(x \ 1,x,y) = y * K(x,y). [hyper(255,a,340,a,b,1609,a(flip)),flip(a)]. 1612 (x * K(y,x)) \ (y * x) != z | L(((x * y) \ x) \ 1,(x * y) \ x,y * x) = z. [para(1609(a,1),374(a,1,1))]. 1614 x * K(x \ (x / T(x,y)),x) != z | L(x,T(x,y) \ 1,T(x,y)) = z. [para(1207(a,1),537(a,1))]. 1615 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(780,a,1323,a),flip(a)]. 1616 x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). [hyper(997,a,1335,a),flip(a)]. 1617 T(x,x / (y \ 1)) != z | T(x,y * x) = z. [para(1616(a,1),891(a,1))]. 1618 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(992,a,1336,a),flip(a)]. 1619 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(16(a,1),1336(a,2,1,1,2))]. 1620 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(19(a,1),1618(a,1,1,1,2)),flip(a)]. 1621 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1618(a,1),1364(a,1,1))]. 1622 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(916,a,1619,a)]. 1623 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(73(a,1),1622(a,1,2,1,2))]. 1624 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(302,a,1623,a),flip(a)]. 1625 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(916,a,1362,a)]. 1626 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(18(a,1),1366(a,1,1,2)),flip(a)]. 1627 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(535,a,1626,a)]. 1628 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(371,a,1626,a),flip(a)]. 1629 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(998(a,1),1626(a,1,1)),flip(a)]. 1630 (x / ((y * x) / y)) / x = 1 / ((y * x) / y). [hyper(96,a,1628,a)]. 1631 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(308,a,1629,a),flip(a)]. 1632 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(1099,a,1631,a)]. 1634 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(96,a,1632,a)]. 1636 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(255,a,1620,a,b,1634,a(flip)),flip(a)]. 1637 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(18(a,1),1636(a,1,2,2,2)),flip(a)]. 1638 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(396(a,1),1370(a,2,1))]. 1639 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(578(a,1),1397(a,2,1))]. 1640 (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). [hyper(255,a,832,a(flip),b,1416,a)]. 1641 x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). [para(1538(a,1),565(a,1,2))]. 1642 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(1550(a,1),973(a,1,1))]. 1643 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(570(a,1),1552(a,2,1))]. 1644 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(19(a,1),1553(a,1,2,2,1,2)),flip(a)]. 1645 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(1190(a,1),1566(a,2,2))]. 1646 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(255,a,37,a,b,1645,a),flip(a)]. 1647 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(1645(a,2),19(a,1,2)),flip(a)]. 1649 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(255,a,1200,a(flip),b,1646,a),flip(a)]. 1650 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(80,a,1646,a,b,1200,a(flip))]. 1651 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(289(a,1),1646(a,1,1)),flip(a)]. 1652 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(924(a,1),1646(a,1,1))]. 1653 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1062(a,2),1646(a,1,1)),flip(a)]. 1654 K(x \ (x / T(y,z)),x) = T(K(x \ (x / y),x),z). [para(1200(a,2),1646(a,1,1)),flip(a)]. 1655 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1246(a,1),1652(a,2,1,2,2))]. 1656 K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). [para(70(a,1),1654(a,2,1,1,2))]. 1657 T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). [para(128(a,1),1656(a,1,1,2,2)),flip(a)]. 1658 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(225,a,1649,a),flip(a)]. 1659 T(x,y) \ T(x * T(x \ 1,z),y) != u | T(T(x,y) \ 1,z) = u. [para(1649(a,1),222(a,1,2)),flip(b)]. 1661 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1232(a,1),1650(a,1,2,1,2)),flip(a)]. 1662 T(x,y) \ T(x * T(x \ 1,x),y) = T(T(x,y) \ 1,T(x,x \ 1)). [para(1246(a,1),1650(a,1,2,1,2))]. 1663 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(255,a,396,a(flip),b,1576,a)]. 1664 K(x \ (x / ((y * x) / y)),x) = (y * K(x \ 1,x)) / y. [para(289(a,1),1583(a,2,1,2))]. 1665 ((x * y) / x) \ ((x * K(y \ 1,y)) / x) = T(((x * y) / x) \ 1,y). [hyper(80,a,1664,a(flip),b,1200,a(flip))]. 1666 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(570(a,1),1615(a,1,1))]. 1667 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(1083(a,1),1625(a,1,2,1))]. 1668 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1625(a,1),1378(a,1,2))]. 1669 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(255,a,832,a(flip),b,1638,a(flip)),flip(a)]. 1670 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(255,a,656,a(flip),b,1638,a(flip))]. 1671 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(172,a,1638,a(flip),b,832,a(flip)),flip(a)]. 1673 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(37(a,2),1671(a,1,2,1,2)),flip(a)]. 1674 T(x * T(x \ y,x),x) = (x \ T(y,x)) * x. [hyper(255,a,127,a(flip),b,1673,a)]. 1675 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(80,a,1673,a,b,xx)]. 1676 T((x \ y) * x,x) = (x \ T(y,x)) * x. [para(127(a,1),1674(a,1,1))]. 1677 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(81,a,1676,a,b,xx)]. 1678 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(80,a,1676,a,b,263,a)]. 1680 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1676(a,2),69(a,1,2,1))]. 1681 T(x * y,y) / y = y \ T(y * x,y). [para(18(a,1),1677(a,1,1,1,1))]. 1683 (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. [para(1677(a,1),226(a,1,1)),flip(b)]. 1684 x \ T(x * (y / x),x) = T(y,x) / x. [para(75(a,1),1677(a,1,1,1)),flip(a)]. 1687 x * (T(y * x,x) / x) = T(x * y,x). [para(18(a,1),1680(a,1,2,1,1,1))]. 1688 T(x * (y / x),x) = x * (T(y,x) / x). [para(75(a,1),1680(a,1,2,1,1)),flip(a)]. 1689 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(397(a,1),1681(a,1,1,1)),flip(a)]. 1690 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(571(a,1),1681(a,1,1,1)),flip(a)]. 1691 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(934(a,1),1687(a,1,2)),flip(a)]. 1692 (x \ 1) * (T(x \ R(x,y,z),x \ 1) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1159(a,1),1687(a,1,2,1,1))]. 1693 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(18(a,1),1675(a,1,2,1,2,1))]. 1695 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(18(a,1),1678(a,1,2,1,1))]. 1696 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1684(a,1),1693(a,2,1))]. 1697 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1696(a,1),19(a,1,2)),flip(a)]. 1698 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(151(a,1),1697(a,2,2,1,1))]. 1699 x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. [para(1697(a,2),222(a,1,2)),flip(b)]. 1700 T(x,x * R(x \ 1,y,z)) = x. [hyper(172,a,821,a(flip),b,1639,a(flip))]. 1701 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [hyper(172,a,1639,a(flip),b,821,a(flip))]. 1703 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(73(a,1),1700(a,1,2,2,1))]. 1704 T(x,(y / (x * y)) * x) = x. [para(593(a,2),1700(a,1,2))]. 1705 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(581(a,1),1700(a,1,2))]. 1706 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1158(a,1),1700(a,1,2))]. 1707 T(x / y,(y / x) * (x / y)) = x / y. [para(708(a,1),1700(a,1,2))]. 1708 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1704(a,1),1108(a,1,1,1)),flip(a)]. 1709 T(x \ R(x,y,z),x \ 1) = x \ R(x,y,z). [hyper(40,a,1706,a)]. 1710 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1706(a,1),43(a,1,1)),flip(a)]. 1711 T(x / (y * x),y * (x / (y * x))) = x / (y * x). [para(20(a,1),1707(a,1,2,1))]. 1712 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1703(a,1),548(a,1,1,2))]. 1713 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1705(a,1),718(a,1,1))]. 1714 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1701(a,1),1688(a,2,2,1))]. 1715 R(x / (y * x),y,x / (y * x)) = T(x / (y * x),y). [para(1711(a,1),718(a,1,1))]. 1716 T(x \ 1,R(x,y,z)) \ T((x \ 1) * R(x,y,z),x \ 1) = T(R(x,y,z),x \ 1). [para(1713(a,1),1319(a,1,1))]. 1717 R(x / (y * x),y,x / (y * x)) = R(y \ 1,y,x). [hyper(255,a,587,a(flip),b,1715,a)]. 1718 R(x \ 1,x,y) \ T((y / (x * y)) * x,y / (x * y)) = T(x,y / (x * y)). [para(1717(a,1),1319(a,1,1))]. 1719 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(396(a,1),1640(a,1,1))]. 1720 T(x,x * L(x \ 1,y,z)) = x. [hyper(172,a,824,a(flip),b,1643,a(flip))]. 1721 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(172,a,1643,a(flip),b,430,a(flip))]. 1723 K(x,x * L(x \ 1,y,z)) = 1. [hyper(41,a,1720,a)]. 1724 T(x,x * ((y * x) \ y)) = x. [para(162(a,1),1720(a,1,2,2))]. 1725 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(342(a,1),1720(a,1,2,2))]. 1726 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(572(a,1),1720(a,1,2))]. 1727 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1150(a,1),1720(a,1,2))]. 1728 (((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y). [para(1724(a,1),548(a,1,1,2))]. 1729 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(940(a,1),1724(a,1,2,2,1))]. 1730 T(x \ (x / y),(x \ (x / y)) * y) = x \ (x / y). [para(73(a,1),1725(a,1,2,2))]. 1731 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1725(a,1),547(a,1,2)),flip(a)]. 1732 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1726(a,1),718(a,1,1))]. 1733 T((x \ (x / y)) * y,x \ (x / y)) = (x \ (x / y)) * y. [hyper(40,a,1730,a)]. 1734 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(40,a,1729,a)]. 1735 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(23,a,764,a,b,1731,a)]. 1736 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(37(a,2),1644(a,1,1))]. 1737 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(255,a,1652,a,b,1655,a)]. 1738 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(1737(a,1),667(a,1,1)),flip(a)]. 1739 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(19(a,1),1661(a,2,2,1))]. 1741 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(151(a,1),1739(a,2,2))]. 1743 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(127(a,1),1663(a,1,1)),flip(a)]. 1744 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(831(a,1),1663(a,1,1)),flip(a)]. 1745 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [para(832(a,1),1663(a,1,1))]. 1746 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1489(a,1),1666(a,1,1,2)),flip(a)]. 1747 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1448(a,2),1746(a,2,1))]. 1748 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(255,a,1691,a,b,1669,a(flip)),flip(a)]. 1749 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(19(a,1),1669(a,1,2,2,1,2,2))]. 1750 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(114(a,2),1669(a,1,2,2,1,2)),flip(a)]. 1751 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(1699,a,1689,a),flip(a)]. 1752 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1719(a,1),223(a,1,2))]. 1753 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(848(a,1),1719(a,1,1)),flip(a)]. 1754 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(974(a,2),1719(a,1,1))]. 1755 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(60(a,1),1754(a,2,2,2,1,2))]. 1757 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(127(a,1),1755(a,2,2))]. 1758 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(289(a,1),1755(a,2,2))]. 1759 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(23,a,122,a(flip),b,1757,a)]. 1760 (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). [para(20(a,1),1758(a,1,1,1))]. 1761 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(763(a,1),1758(a,1,1,1))]. 1762 ((x / K(y \ 1,y)) * y) * K(y \ 1,y) = x * y. [hyper(308,a,1760,a),flip(a)]. 1763 ((x * (y \ 1)) / K(y \ 1,y)) * y = R(x,y \ 1,y). [hyper(23,a,465,a,b,1762,a)]. 1764 (x * (y \ 1)) / K(y \ 1,y) != z | R(x,y \ 1,y) / y = z. [para(1759(a,1),304(a,1,1)),flip(b)]. 1765 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(81,a,556,a(flip),b,771,a)]. 1766 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(21(a,1),1765(a,1,1,1)),flip(a)]. 1767 x * R(x \ K(x,x \ 1),y,z) = R(1 / x,y,z) / (x \ 1). [para(1455(a,1),1765(a,1,1,1)),flip(a)]. 1768 R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). [para(1450(a,1),1767(a,1,2,1)),flip(a)]. 1769 (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). [para(351(a,1),1768(a,1,1)),flip(a)]. 1770 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(806(a,1),418(a,1,2)),flip(a)]. 1771 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(443(a,1),835(a,1,2,1))]. 1772 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(342(a,1),1033(a,1,2))]. 1773 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [para(1772(a,1),70(a,1,2))]. 1774 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(342(a,1),1169(a,1,1)),flip(a)]. 1775 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(18(a,1),1774(a,1,2)),flip(a)]. 1776 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1774(a,1),19(a,1,2))]. 1777 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(172,a,1776,a,b,19,a)]. 1779 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(18(a,1),1775(a,1,1)),flip(a)]. 1780 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(1779(a,1),19(a,1,2))]. 1781 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(255,a,708,a(flip),b,1181,a(flip))]. 1782 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(70(a,1),1781(a,1,2)),flip(a)]. 1783 (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). [hyper(302,a,1782,a),flip(a)]. 1785 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [para(1783(a,1),19(a,1,2))]. 1786 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(172,a,1785,a,b,19,a)]. 1788 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(400(a,1),1230(a,1,2)),flip(a)]. 1789 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(400(a,1),1788(a,1,2)),flip(a)]. 1790 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1789(a,1),51(a,1,1)),flip(a)]. 1791 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1789(a,1),1318(a,1,1))]. 1792 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(255,a,1448,a,b,1275,a)]. 1793 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(20(a,1),1437(a,2,1))]. 1794 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1793(a,1),397(a,1,1)),flip(a)]. 1795 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(22,a,183,a,b,1794,a),flip(a)]. 1796 L(K(x,x \ 1) \ y,K(x,x \ 1),x) = x * (((x \ 1) \ 1) \ y). [hyper(255,a,1105,a(flip),b,1526,a)]. 1797 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(255,a,667,a(flip),b,1738,a)]. 1798 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(31(a,2),1797(a,2,1))]. 1799 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(31(a,2),1798(a,1,1))]. 1800 T(K(1 / x,y),1 / x) = T(K(1 / x,y),x \ 1). [para(564(a,1),1799(a,1,2)),flip(a)]. 1801 (1 / x) * T(K(1 / x,y),x \ 1) = K(1 / x,y) * (1 / x). [para(1800(a,1),127(a,1,2))]. 1802 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [para(351(a,1),1769(a,1,2)),flip(a)]. 1803 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [para(1802(a,1),21(a,1,1))]. 1804 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [para(70(a,1),1802(a,1,1)),flip(a)]. 1805 (x / (y \ x)) * ((y \ x) / x) = ((y \ x) / x) / (y \ 1). [para(70(a,1),1802(a,1,2,1)),flip(a)]. 1807 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(70(a,1),1804(a,1,2)),flip(a)]. 1808 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(1807(a,1),1766(a,1,2,1,2))]. 1809 ((x \ y) / y) / (x \ 1) = x * ((x \ y) / y). [hyper(302,a,1805,a),flip(a)]. 1811 (x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y. [para(1809(a,1),21(a,1,1))]. 1812 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [hyper(255,a,350,a,b,1811,a)]. 1813 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(255,a,1639,a(flip),b,1004,a(flip))]. 1814 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(255,a,1639,a(flip),b,1005,a(flip))]. 1815 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [hyper(255,a,1643,a(flip),b,1007,a(flip))]. 1816 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(255,a,1643,a(flip),b,1008,a(flip))]. 1817 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1489(a,1),1816(a,2,1,2))]. 1818 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1747(a,1),1817(a,1,2))]. 1819 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(22,a,112,a(flip),b,1818,a)]. 1820 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1448(a,2),1818(a,2,1))]. 1821 x \ (K(x,x \ 1) * y) = K(x,x \ 1) * (x \ y). [hyper(87,a,1820,a)]. 1822 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(22,a,1543,a(flip),b,1820,a)]. 1823 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(18(a,1),1820(a,1,2,2)),flip(a)]. 1824 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(37(a,2),1820(a,1,2,2))]. 1825 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1451(a,1),1820(a,1,2,1))]. 1826 (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. [para(1529(a,1),1820(a,1,2,1))]. 1827 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y). [hyper(255,a,1465,a,b,1823,a(flip)),flip(a)]. 1828 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(1819(a,1),24(a,1)),flip(a)]. 1829 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(255,a,1278,a(flip),b,1822,a)]. 1830 L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). [hyper(22,a,1525,a,b,1827,a),flip(a)]. 1831 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(1 / y,y),1 / y). [para(73(a,1),1830(a,1,2,2)),flip(a)]. 1832 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). [para(1529(a,1),1830(a,1,2)),flip(a)]. 1833 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(801,a,1012,a),flip(a)]. 1834 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(780,a,1012,a)]. 1835 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(571(a,1),1833(a,1,1))]. 1836 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(535,a,1835,a)]. 1837 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(371,a,1835,a),flip(a)]. 1838 ((x / y) * L(y,z,u)) * y = x * L(y,z,u). [hyper(255,a,98,a(flip),b,1835,a)]. 1839 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(87,a,1835,a)]. 1840 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(80,a,98,a(flip),b,1835,a)]. 1841 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1835(a,1),272(a,1,1))]. 1842 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(172,a,1837,a,b,19,a)]. 1844 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [hyper(81,a,112,a(flip),b,1838,a),flip(a)]. 1845 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1839(a,1),1061(a,1,1)),flip(a)]. 1846 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1842(a,1),185(a,1,1))]. 1847 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(87,a,1844,a),flip(a)]. 1848 (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. [para(1844(a,1),173(a,2)),flip(a)]. 1849 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1845(a,1),573(a,1,2))]. 1850 L(x,y,z) / T(x,x \ 1) = (x \ 1) * L(x,y,z). [hyper(81,a,62,a(flip),b,1849,a)]. 1851 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(255,a,570,a(flip),b,1013,a)]. 1852 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(788,a,1014,a)]. 1853 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(255,a,184,a(flip),b,1019,a)]. 1854 T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). [para(1083(a,1),1853(a,1,2,1,2))]. 1855 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(112(a,1),1053(a,1,1))]. 1856 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [hyper(916,a,1059,a)]. 1857 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(122(a,1),1059(a,1,2))]. 1858 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(814,a,1121,a)]. 1859 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1194(a,1),1858(a,1,1))]. 1860 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(96,a,1859,a)]. 1861 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(167(a,1),1859(a,1,1,2)),flip(a)]. 1862 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(1859(a,1),304(a,1,1)),flip(b)]. 1863 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1860(a,1),949(a,1,3)),flip(a)]. 1864 T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1 = x \ (((T(y,x) \ y) * x) \ x). [para(1861(a,1),1091(a,1,2,1)),flip(a)]. 1865 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1861(a,1),1587(a,1,1,2,1))]. 1866 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1186(a,1),374(a,1))]. 1867 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(73(a,1),1226(a,1,2)),flip(a)]. 1868 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(16(a,1),1867(a,2,1,1))]. 1869 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1868(a,1),1720(a,1,2))]. 1870 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1869(a,1),404(a,1,1,2)),flip(a)]. 1871 L((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(70(a,1),1293(a,1,1,2,1))]. 1872 (L(x / (y / z),u,w) * (y / z)) * z = y * L(y \ (x * z),u,w). [hyper(255,a,570,a(flip),b,1322,a)]. 1873 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(87,a,1324,a)]. 1874 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(87,a,1325,a)]. 1875 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(16(a,1),1326(a,2,1,1,1))]. 1876 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(255,a,578,a(flip),b,1875,a)]. 1877 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(578(a,1),1876(a,1,1))]. 1878 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(96,a,1877,a),flip(a)]. 1879 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(35(a,2),1878(a,1,1)),flip(a)]. 1880 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(255,a,428,a(flip),b,1330,a)]. 1881 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(127(a,1),1880(a,1,1,1,1,2))]. 1882 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(184(a,1),1881(a,2,2))]. 1883 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(87,a,1333,a)]. 1884 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(255,a,1499,a,b,1542,a(flip)),flip(a)]. 1885 K(T(x \ 1,x) \ 1,T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). [para(1252(a,1),1546(a,1,1))]. 1886 K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(x,x \ 1). [para(1251(a,1),1885(a,1,2))]. 1887 K(T(x,x \ 1),T(x \ 1,x)) = K(x,x \ 1). [hyper(255,a,1536,a(flip),b,1886,a(flip)),flip(a)]. 1888 K(T(x,x \ 1),T(x,x \ 1) \ 1) = K(x,x \ 1). [para(1242(a,2),1887(a,1,2))]. 1889 K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = T(x,x \ 1) \ (K(x,x \ 1) * y). [para(1888(a,1),1821(a,1,2,1)),flip(a)]. 1890 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(1341(a,1),1551(a,1,2))]. 1891 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(70(a,1),1593(a,1,1,1)),flip(a)]. 1892 T(T(x,y) \ 1,T(x,x \ 1)) = T(T(x,y) \ 1,x). [hyper(1659,a,1662,a),flip(a)]. 1893 T(T(x,y) \ 1,(x \ 1) \ 1) = T(T(x,y) \ 1,x). [para(128(a,1),1892(a,1,2))]. 1894 ((x \ 1) \ 1) * T(T(x,y) \ 1,x) = (T(x,y) \ 1) * ((x \ 1) \ 1). [para(1893(a,1),127(a,1,2))]. 1895 (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). [para(656(a,1),1670(a,1,1))]. 1896 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(587(a,1),1708(a,1,2))]. 1897 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(185(a,1),1791(a,1,2))]. 1898 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(255,a,1698,a(flip),b,1897,a)]. 1899 L(x,1 / (1 / y),K(1 / (1 / y),(1 / (1 / y)) \ 1)) = L(x,K(y,y \ 1),1 / (1 / y)). [para(1534(a,1),1831(a,2,2))]. 1900 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(570(a,1),1834(a,2,1))]. 1901 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(570(a,1),1851(a,1,1))]. 1902 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(578(a,1),1852(a,2,1))]. 1903 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(789(a,1),1856(a,2,1))]. 1904 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). [para(570(a,1),1872(a,1,1))]. 1905 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(17(a,1),1873(a,1,2,2,1,2)),flip(a)]. 1906 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(33(a,2),1905(a,1,1)),flip(a)]. 1907 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(17(a,1),1874(a,1,2,2,1,2)),flip(a)]. 1908 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(19(a,1),1883(a,1,2,2,1))]. 1909 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(412,a,1908,a)]. 1910 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1908(a,1),412(a,1))]. 1911 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(255,a,1392,a(flip),b,1909,a)]. 1912 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(70(a,1),1909(a,1,2,1)),flip(a)]. 1913 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(941(a,1),1909(a,1,2)),flip(a)]. 1914 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1041(a,1),1909(a,1,2)),flip(a)]. 1915 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1357(a,1),1909(a,1,2)),flip(a)]. 1916 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1909(a,2),1378(a,1,2))]. 1917 ((x * y) / x) * ((y * (((x * y) / x) \ 1)) / y) = K(y,1 / ((x * y) / x)). [para(1630(a,1),1909(a,1,2)),flip(a)]. 1918 x * K(y,(y / (x \ 1)) / y) = (y * x) / y. [para(1911(a,2),19(a,1,2))]. 1919 K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). [para(1083(a,1),1911(a,2,2,1))]. 1920 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1159(a,1),1911(a,2,2,1))]. 1921 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(70(a,1),1916(a,1,2,2,1)),flip(a)]. 1922 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(121(a,2),1921(a,1,2))]. 1923 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(20(a,1),1922(a,2,2,2))]. 1924 T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). [para(1923(a,1),1075(a,1,2,1)),flip(a)]. 1925 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(398(a,2),1913(a,1,2,1))]. 1926 x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). [para(1923(a,1),1924(a,1,1)),flip(a)]. 1927 (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). [para(17(a,1),1926(a,1,2)),flip(a)]. 1928 (x * K(x,y)) * (x \ 1) = K(x,y). [hyper(255,a,18,a(flip),b,1927,a)]. 1929 T(x * K(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(172,a,1927,a,b,259,a(flip))]. 1930 K(x,y) / (x \ 1) = x * K(x,y). [hyper(81,a,18,a(flip),b,1927,a)]. 1934 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(255,a,1008,a(flip),b,1900,a(flip)),flip(a)]. 1935 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(255,a,824,a(flip),b,1900,a(flip))]. 1936 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(172,a,1900,a(flip),b,1008,a(flip)),flip(a)]. 1938 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(37(a,2),1936(a,1,2,1,2)),flip(a)]. 1939 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(80,a,1938,a,b,xx)]. 1940 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(18(a,1),1939(a,1,2,1,2,1)),flip(a)]. 1942 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1684(a,1),1940(a,1,1)),flip(a)]. 1943 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(255,a,1690,a(flip),b,1942,a(flip))]. 1945 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(255,a,1005,a(flip),b,1902,a(flip)),flip(a)]. 1946 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(172,a,1902,a(flip),b,1325,a),flip(a)]. 1947 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(172,a,1902,a(flip),b,1005,a(flip)),flip(a)]. 1948 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(80,a,1902,a(flip),b,1325,a),flip(a)]. 1949 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(18(a,1),1902(a,1,2,1)),flip(a)]. 1951 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(18(a,1),1949(a,1,1,2,1))]. 1952 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(371,a,1951,a),flip(a)]. 1953 ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. [hyper(308,a,1951,a),flip(a)]. 1954 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(87,a,1951,a)]. 1955 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1953(a,1),304(a,1,1)),flip(b)]. 1956 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1954(a,1),1061(a,1,1)),flip(a)]. 1957 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1956(a,1),184(a,1,2)),flip(a)]. 1958 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1956(a,1),573(a,1,2))]. 1959 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(81,a,62,a(flip),b,1958,a)]. 1961 (x * y) * R(x,y,T(x,y)) = T(x * y,x) * T(x,y). [para(987(a,1),1958(a,1,1)),flip(a)]. 1962 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(255,a,601,a(flip),b,1959,a(flip)),flip(a)]. 1963 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(37(a,2),1947(a,1,2,1,2)),flip(a)]. 1964 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(81,a,1963,a,b,578,a)]. 1965 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(80,a,1963,a,b,xx)]. 1966 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(18(a,1),1964(a,1,1,1,2,1)),flip(a)]. 1969 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(255,a,1053,a(flip),b,1903,a(flip))]. 1970 (x * (((x * y) * (x \ 1)) / (x * y))) * y = (x * y) * (y / (x * y)). [para(19(a,1),1903(a,1,2,1)),flip(a)]. 1972 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1622(a,1),1969(a,1,1)),flip(a)]. 1973 (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). [hyper(96,a,1904,a)]. 1974 R(x,y,z) * (z * R(z \ (y * z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. [para(149(a,1),1945(a,1,2,2,1,2))]. 1975 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [para(16(a,1),1973(a,1,1,2,1,2)),flip(a)]. 1976 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(35(a,2),1975(a,1,1)),flip(a)]. 1977 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(255,a,29,a,b,448,a),flip(a)]. 1978 L(x,y,T(z,z \ u)) = L(x,y,(z \ u) \ u). [hyper(255,a,597,a(flip),b,599,a(flip)),flip(a)]. 1979 (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [hyper(255,a,1193,a(flip),b,694,a(flip)),flip(a)]. 1980 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(813(a,1),914(a,1,1))]. 1981 (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). [para(735(a,1),1980(a,1,1,1,2)),flip(a)]. 1982 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(193(a,1),985(a,1,2))]. 1983 T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(47(a,2),1982(a,1,1,1))]. 1984 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(385(a,1),1983(a,1,1))]. 1985 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1984(a,1),43(a,1,1)),flip(a)]. 1986 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(920(a,1),1985(a,1,1))]. 1987 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(21(a,1),1986(a,1,1)),flip(a)]. 1988 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(472(a,1),1987(a,2,2))]. 1989 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(21(a,1),1988(a,1,1))]. 1990 T(x,x * (y \ 1)) = T(x,y \ x). [para(129(a,1),1989(a,1,2)),flip(a)]. 1991 T(x,(1 / y) \ x) = T(x,x * y). [para(73(a,1),1990(a,1,2,2)),flip(a)]. 1992 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(190(a,1),1415(a,1,1))]. 1993 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1496(a,1),1992(a,1,1))]. 1994 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(1064,a,1487,a(flip))]. 1995 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(477(a,1),1596(a,2,2))]. 1996 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(16(a,1),1995(a,2,2,1))]. 1997 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1667(a,1),1996(a,1,1))]. 1998 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(226,a,1997,a)]. 2000 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(255,a,1668,a,b,1998,a(flip)),flip(a)]. 2001 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1667(a,2),2000(a,1,2))]. 2002 x \ (((T(y,x) \ y) * x) \ x) = ((T(y,x) \ y) * x) \ 1. [para(1861(a,1),1864(a,1,1)),flip(a)]. 2003 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * ((y \ 1) \ ((y \ 1) * (y * x))). [para(433(a,1),1979(a,1,2,2)),flip(a)]. 2004 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1712(a,1),1165(a,1,1))]. 2005 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(255,a,186,a(flip),b,2004,a(flip)),flip(a)]. 2006 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(896(a,1),1209(a,1,2,1))]. 2007 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(2006(a,1),19(a,1,2))]. 2008 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(255,a,1555,a(flip),b,2007,a(flip))]. 2009 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(255,a,1903,a(flip),b,1331,a(flip))]. 2010 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [hyper(172,a,1638,a(flip),b,1337,a(flip)),flip(a)]. 2011 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(1109(a,1),1337(a,2,2))]. 2012 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(31(a,2),2011(a,1,2,1)),flip(a)]. 2013 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(1524(a,1),1532(a,2,1))]. 2014 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(87,a,2013,a)]. 2015 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) != z | K(x,x \ 1) * y = z. [para(2014(a,1),220(a,1,2)),flip(b)]. 2016 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(31(a,2),1563(a,1,2,1)),flip(a)]. 2017 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1200(a,1),2016(a,1,2))]. 2018 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(87,a,2017,a)]. 2019 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1725(a,1),1565(a,2,2,2))]. 2020 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(19(a,1),1586(a,2,1))]. 2021 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1535(a,1),1642(a,1,2))]. 2022 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1535(a,1),2021(a,2,1,2))]. 2023 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1483(a,1),2022(a,2,1))]. 2025 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(586(a,1),1714(a,2,2))]. 2026 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(586(a,1),2025(a,1,1,2))]. 2027 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(163(a,1),2026(a,1,1,2))]. 2028 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(163(a,1),2027(a,2,2))]. 2029 T(x,x * (y / (x * y))) = x. [hyper(40,a,2028,a)]. 2030 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(255,a,1896,a,b,2028,a(flip)),flip(a)]. 2031 T(x,x * ((x \ y) / y)) = x. [para(19(a,1),2029(a,1,2,2,2))]. 2032 T(x / y,(x / y) * (y / x)) = x / y. [para(21(a,1),2029(a,1,2,2,2))]. 2033 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(2031(a,1),276(a,1,1)),flip(a)]. 2034 T(x / (y * x),(x / (y * x)) * y) = x / (y * x). [para(20(a,1),2032(a,1,2,2))]. 2035 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(2032(a,1),185(a,1,1)),flip(a)]. 2036 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(255,a,129,a(flip),b,2035,a)]. 2037 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(2036(a,1),1584(a,2,1,2))]. 2038 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(2033(a,1),1584(a,2,1,2))]. 2039 T((x / (y * x)) * y,x / (y * x)) = (x / (y * x)) * y. [hyper(40,a,2034,a)]. 2040 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(127(a,1),1753(a,1,2)),flip(a)]. 2041 (x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)). [para(1219(a,2),1753(a,1,2)),flip(a)]. 2042 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(1683,a,2040,a)]. 2043 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(75(a,1),2042(a,1,1))]. 2044 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(18(a,1),2043(a,2,2,1,2)),flip(a)]. 2045 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(18(a,1),2044(a,1,2,1)),flip(a)]. 2046 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(105(a,1),2044(a,1,2,1)),flip(a)]. 2047 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(2044(a,1),409(a,1,2))]. 2048 T((x \ 1) * (x * y),x) != (x \ 1) * z | y * x = z. [para(2045(a,2),24(a,1))]. 2049 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(2045(a,1),127(a,1,2)),flip(a)]. 2050 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(255,a,190,a(flip),b,2049,a)]. 2052 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(17(a,1),1770(a,2,2,1,2,2))]. 2053 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(1909(a,2),1770(a,1,2))]. 2054 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(17(a,1),2053(a,2,2,1,2,2))]. 2055 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(37(a,2),2054(a,1,2,2,1,2)),flip(a)]. 2057 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(172,a,1903,a(flip),b,2055,a(flip))]. 2058 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(255,a,1909,a(flip),b,2057,a),flip(a)]. 2059 K(x,(x / T(x,y)) / x) = T(x * (1 / x),y). [para(19(a,1),2057(a,1,1,2,1)),flip(a)]. 2060 T(x \ T(x,x / (x * y)),z) = K(x,(x / T(y,z)) / x). [para(1379(a,2),2057(a,1,1))]. 2061 K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). [para(1912(a,1),2057(a,1,1)),flip(a)]. 2062 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [hyper(255,a,1909,a(flip),b,2059,a(flip)),flip(a)]. 2063 T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). [para(1387(a,1),2061(a,1,2,1,2)),flip(a)]. 2064 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(1083(a,1),2062(a,1,2,1))]. 2066 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1448(a,2),2064(a,2,1))]. 2067 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(2066(a,1),2001(a,1,2))]. 2068 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(2067(a,1),24(a,1))]. 2069 T(K(x,y / x),K(y / x,z)) = K(x,y / x). [para(70(a,1),2063(a,2,2,1))]. 2070 T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). [para(20(a,1),2069(a,1,1,2))]. 2071 T(K(x,y),K(y,z)) = K(x,(y * x) / x). [para(20(a,1),2070(a,1,2,1))]. 2072 T(K(x,y),K(y,z)) = K(x,y). [para(20(a,1),2071(a,2,2))]. 2073 K(K(x,y),K(y,z)) = 1. [hyper(41,a,2072,a)]. 2074 T(K(x,y),K(z,x)) = K(x,y). [hyper(40,a,2072,a)]. 2075 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(2072(a,1),127(a,1,2))]. 2076 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2072(a,1),225(a,1,2))]. 2077 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2072(a,1),183(a,1,2,1)),flip(a)]. 2078 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2072(a,1),184(a,1,2,1)),flip(a)]. 2079 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2072(a,1),362(a,1,2,1))]. 2081 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2074(a,1),225(a,1,2))]. 2082 R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). [para(2074(a,1),184(a,1,2,1)),flip(a)]. 2083 K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5. [para(2074(a,1),363(a,1,2,1))]. 2086 (K(x,y) * K(z,x)) \ (K(z,x) * (K(x,y) * u)) != w | L(u,K(x,y),K(z,x)) = w. [para(2075(a,2),431(a,1,1))]. 2087 ((x * K(y,z)) * K(z,u)) / (K(z,u) * K(y,z)) != w | R(x,K(y,z),K(z,u)) = w. [para(2075(a,2),466(a,1,2))]. 2088 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = T(x,y) * (1 / T(x,y)). [para(19(a,1),2058(a,1,2,1)),flip(a)]. 2089 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(398(a,2),2058(a,2,1,2,1)),flip(a)]. 2090 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = K(T(x,y),T(x,y) \ 1). [hyper(255,a,1448,a,b,2088,a)]. 2091 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [para(1913(a,1),2090(a,1,1)),flip(a)]. 2092 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1639(a,1),1813(a,1,2)),flip(a)]. 2093 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1158(a,1),2092(a,1,1)),flip(a)]. 2094 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1643(a,1),1815(a,1,2)),flip(a)]. 2095 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1150(a,1),2094(a,1,1)),flip(a)]. 2096 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1451(a,1),1825(a,2,1))]. 2097 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(87,a,2096,a)]. 2098 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(255,a,1488,a,b,2097,a(flip)),flip(a)]. 2099 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). [para(382(a,1),1826(a,1,2,2)),flip(a)]. 2100 R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). [para(19(a,1),1854(a,1,2,1)),flip(a)]. 2101 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1111(a,1),1915(a,1,2,1))]. 2102 ((x * y) / x) * ((((x * y) / x) \ y) / y) = K(y,1 / ((x * y) / x)). [para(1146(a,1),1917(a,1,2,1))]. 2103 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(824(a,1),1935(a,1,1))]. 2104 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(81,a,98,a(flip),b,2103,a)]. 2105 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(339(a,1),2103(a,1,1,2,2)),flip(a)]. 2106 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(339(a,1),2105(a,1,2,2)),flip(a)]. 2107 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1448(a,2),2106(a,1,1,2))]. 2108 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1448(a,2),2107(a,2,2))]. 2109 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(87,a,2108,a)]. 2110 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(81,a,98,a(flip),b,2108,a)]. 2111 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(2109(a,1),1061(a,1,1)),flip(a)]. 2112 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(2110(a,1),129(a,1,1))]. 2113 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(37(a,2),1946(a,1,1))]. 2114 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(37(a,2),2113(a,1,2,1,1))]. 2115 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(18(a,1),2114(a,2,1,2,1))]. 2116 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(255,a,231,a(flip),b,2019,a)]. 2118 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(2116(a,1),1143(a,1,1)),flip(a)]. 2119 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(255,a,1777,a(flip),b,2118,a(flip)),flip(a)]. 2120 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(374,a,2119,a)]. 2121 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(18(a,1),2119(a,1,1,2))]. 2122 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(18(a,1),2120(a,1,3))]. 2123 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(2120(a,1),1905(a,1,2)),flip(a)]. 2124 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(18(a,1),2121(a,2,2))]. 2125 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(374,a,2124,a)]. 2126 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(2124(a,1),19(a,1,2))]. 2127 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(2124(a,1),70(a,1,2))]. 2128 L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). [para(2125(a,1),346(a,1,1)),flip(a)]. 2129 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(162(a,2),2126(a,1,1,1)),flip(a)]. 2130 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(2127(a,1),1210(a,2,1,1,2)),flip(a)]. 2131 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(540,a,2129,a)]. 2132 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(255,a,162,a(flip),b,2122,a(flip)),flip(a)]. 2133 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(255,a,1448,a,b,2123,a)]. 2134 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(2133(a,1),19(a,1,2)),flip(a)]. 2135 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(19(a,1),2037(a,2,1))]. 2136 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(255,a,67,a(flip),b,2135,a)]. 2138 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * 1,y)) * z. [para(67(a,1),2041(a,1,1,2,1,2)),flip(a)]. 2139 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(17(a,1),2138(a,2,1,2,1))]. 2141 (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1. [hyper(22,a,234,a(flip),b,2139,a)]. 2143 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(428(a,1),786(a,1,1)),flip(a)]. 2144 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(255,a,427,a(flip),b,900,a)]. 2145 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ 1 = y \ ((y * (x * T(x \ 1,y))) \ y). [para(2144(a,1),1147(a,1,2,1)),flip(a)]. 2146 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(2144(a,1),1194(a,1,1)),flip(a)]. 2147 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(2144(a,1),1623(a,1,2)),flip(a)]. 2148 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(255,a,1241,a(flip),b,948,a(flip)),flip(a)]. 2150 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(2148(a,1),627(a,1,1))]. 2151 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(255,a,186,a(flip),b,2150,a(flip))]. 2152 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(2151(a,1),1913(a,1,2))]. 2153 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(342(a,1),1157(a,1,2,2))]. 2154 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [para(2153(a,1),19(a,1,2))]. 2155 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(2154(a,1),790(a,1,2,1))]. 2156 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(2154(a,1),1909(a,2,2,1)),flip(a)]. 2157 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1410(a,1),223(a,1))]. 2158 R(x \ 1,x,y) \ ((y / (x * y)) * x) = T(x,y / (x * y)). [para(2039(a,1),1718(a,1,2))]. 2159 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [hyper(709,a,2158,a)]. 2160 (x * R(x \ 1,x,y)) \ (T(x,y / (x * y)) * R(x \ 1,x,y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2159(a,1),177(a,1,2,1))]. 2161 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(1884(a,1),1761(a,1,1))]. 2162 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(255,a,1861,a(flip),b,1865,a)]. 2163 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(255,a,2103,a(flip),b,2161,a(flip)),flip(a)]. 2165 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(189(a,2),2163(a,1,1))]. 2166 (L(x,y,z) * u) \ ((x * (x \ u)) * L(T(x,x \ u),y,z)) = a(x,x \ u,L(T(x,x \ u),y,z)). [para(1421(a,1),568(a,1,1))]. 2167 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(127(a,1),836(a,1,2,1,1)),flip(a)]. 2168 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(172,a,1639,a(flip),b,2167,a),flip(a)]. 2169 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(594,a,2168,a),flip(a)]. 2170 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). [para(1727(a,1),2168(a,1,2,1,1)),flip(a)]. 2171 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(927(a,1),2169(a,2,1,2))]. 2172 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1253(a,1),2171(a,1,1,2)),flip(a)]. 2173 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(23,a,1658,a(flip),b,2172,a)]. 2174 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(2173(a,1),129(a,1,1))]. 2175 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(255,a,1741,a(flip),b,2174,a(flip))]. 2177 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(663(a,1),2175(a,1,1))]. 2178 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(2175(a,1),2141(a,1,2,2))]. 2179 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(87,a,2178,a),flip(a)]. 2181 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(73(a,1),2177(a,1,2))]. 2182 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [para(2181(a,1),70(a,1,2))]. 2183 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(1200(a,2),2181(a,1,1))]. 2184 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(127(a,1),837(a,1,2,1,1)),flip(a)]. 2185 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(172,a,1643,a(flip),b,2184,a),flip(a)]. 2186 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(87,a,2185,a)]. 2187 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [hyper(255,a,340,a(flip),b,2185,a(flip))]. 2188 T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). [para(675(a,1),2185(a,2,1,2))]. 2189 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(342(a,1),2186(a,1,2,1,2))]. 2190 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(940(a,1),2187(a,2,2,1))]. 2191 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). [para(1095(a,1),2188(a,1,2))]. 2192 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(153(a,1),2191(a,2,1,2))]. 2193 (1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(22,a,2064,a,b,2192,a)]. 2194 (T(x,y) \ x) \ ((T(x,y) \ x) / x) = T(1 / x,T(x,y) \ x). [hyper(172,a,2193,a,b,19,a),flip(a)]. 2196 T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x). [para(2193(a,1),1096(a,1,1))]. 2197 (1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x). [hyper(255,a,129,a(flip),b,2196,a(flip))]. 2198 (1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1. [hyper(255,a,1091,a(flip),b,2197,a)]. 2199 (1 / x) * ((T(x,y) \ 1) * x) != z | T(x,y) \ 1 = z. [para(2197(a,2),1093(a,1))]. 2200 (T(x,y) \ x) * T(T(1 / x,T(x,y) \ x),x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2194(a,1),974(a,2,2,1)),flip(a)]. 2201 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(2152(a,1),2190(a,1,1)),flip(a)]. 2202 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(255,a,2091,a,b,2201,a)]. 2203 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(22,a,1448,a(flip),b,2202,a)]. 2204 (T(x,y) / x) * (1 / T(x,y)) = 1 / x. [para(2203(a,1),19(a,1,2))]. 2205 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(199(a,1),2203(a,1,2))]. 2206 T(x,y) * ((T(x,y) / x) \ (1 / x)) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2203(a,2),1464(a,1,2))]. 2208 L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x. [para(136(a,1),1036(a,1,1,1,1)),flip(a)]. 2209 (1 / x) * L(T((1 / x) \ 1,y),z,u) = L(T(x,y),z,u) / x. [hyper(1057,a,2208,a)]. 2210 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(73(a,1),2209(a,1,2,1,1))]. 2211 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(407(a,1),1148(a,1,1)),flip(a)]. 2212 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(19(a,1),1314(a,1,2,1)),flip(a)]. 2213 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(129(a,1),2212(a,1,1)),flip(a)]. 2214 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(129(a,1),2213(a,1,2)),flip(a)]. 2215 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(18(a,1),2214(a,1,1)),flip(a)]. 2216 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(18(a,1),2215(a,1,2)),flip(a)]. 2217 (1 / T(x,y)) * T(T(x,z),u) = T(T(x,z),u) / T(x,y). [para(21(a,1),1358(a,1,1,1)),flip(a)]. 2219 T(T(x,y),z) / T(x,x \ 1) = (x \ 1) * T(T(x,y),z). [para(199(a,1),2217(a,1,1)),flip(a)]. 2220 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(255,a,182,a(flip),b,2219,a)]. 2221 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(255,a,927,a(flip),b,2220,a)]. 2222 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(2221(a,1),2205(a,1,1))]. 2223 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(255,a,2175,a(flip),b,2222,a(flip))]. 2224 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [para(2223(a,1),73(a,1,1)),flip(a)]. 2225 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(128(a,1),2223(a,1,2,1))]. 2226 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(564(a,1),2223(a,1,2,1))]. 2227 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(288(a,1),2223(a,1,2,1)),flip(a)]. 2228 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [para(128(a,1),2224(a,1,1)),flip(a)]. 2229 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(564(a,1),2224(a,1,1)),flip(a)]. 2230 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2227(a,1),70(a,1,2))]. 2231 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2228(a,2),127(a,1,2))]. 2232 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(129(a,1),2228(a,1,1,1)),flip(a)]. 2234 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(255,a,1483,a,b,2230,a(flip)),flip(a)]. 2236 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2230(a,1),1890(a,1,1,1,2))]. 2237 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(660,a,2231,a)]. 2238 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(129(a,1),2231(a,1,2,1,1)),flip(a)]. 2239 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(476(a,1),2231(a,1,2,1,1)),flip(a)]. 2240 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(255,a,1523,a,b,2237,a)]. 2241 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(255,a,128,a,b,2237,a)]. 2242 (T(x,y) \ 1) \ (T(x,y) \ x) = (x \ 1) \ 1. [hyper(255,a,1089,a,b,2237,a(flip)),flip(a)]. 2243 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(2068,a,2240,a)]. 2244 K(K(x,x \ 1),y) = 1. [hyper(41,a,2243,a)]. 2245 T(x,K(y,y \ 1)) = x. [hyper(40,a,2243,a)]. 2246 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(80,a,2243,a(flip),b,2066,a)]. 2247 K(x,x \ 1) * y = y * K(x,x \ 1). [para(2243(a,1),127(a,1,2)),flip(a)]. 2249 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2243(a,1),225(a,1,2))]. 2251 K(K(x \ 1,x),y) = 1. [para(1451(a,1),2244(a,1,1))]. 2252 K(x,x \ 1) * y != z * K(x,x \ 1) | z = y. [para(2245(a,1),174(a,1,2))]. 2253 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2245(a,1),225(a,1,2))]. 2256 T(x,K(y \ 1,y)) = x. [para(1451(a,1),2245(a,1,2))]. 2258 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(42,a,2251,a)]. 2263 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2048,a,2256,a),flip(a)]. 2264 (x * K(y \ 1,y)) / x = K(y \ 1,y). [para(2256(a,1),144(a,1,2))]. 2266 K(x \ 1,x) * y != z * K(x \ 1,x) | z = y. [para(2256(a,1),174(a,1,2))]. 2267 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2256(a,1),225(a,1,2))]. 2269 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(255,a,1651,a,b,2258,a(flip)),flip(a)]. 2270 T((x \ 1) * x,y) = K(x \ 1,x). [para(189(a,1),2258(a,1,1))]. 2271 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2258(a,1),225(a,1,2))]. 2272 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [hyper(255,a,1822,a(flip),b,2247,a(flip))]. 2273 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2247(a,2),35(a,2,2)),flip(a)]. 2274 R(1 / x,x,K(y,y \ 1)) = K(y,y \ 1) / (K(y,y \ 1) * x). [para(2247(a,2),163(a,2,2))]. 2275 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2247(a,2),451(a,1,2))]. 2276 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) = R(T(z,y * K(x,x \ 1)),y,K(x,x \ 1)). [para(2247(a,2),574(a,1,1))]. 2277 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) != u | L(T(z,y),y,K(x,x \ 1)) = u. [para(2247(a,1),686(a,1,2))]. 2278 L(x,y,y \ 1) * K(y \ 1,y) = (y \ 1) * (y * x). [hyper(741,a,2263,a),flip(a)]. 2279 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(255,a,974,a(flip),b,2263,a)]. 2280 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [hyper(80,a,465,a(flip),b,2263,a)]. 2281 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(26,a,2263,a)]. 2282 L(x \ 1,x,K(y \ 1,y)) = (x * K(y \ 1,y)) \ K(y \ 1,y). [para(2263(a,1),162(a,2,1))]. 2283 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2263(a,1),112(a,1,1))]. 2284 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2263(a,2),451(a,1,2))]. 2286 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). [para(2263(a,2),574(a,1,1))]. 2287 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2263(a,1),686(a,1,2))]. 2288 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2263(a,2),292(a,1,1))]. 2289 ((x * y) / x) \ K(y \ 1,y) = T(((x * y) / x) \ 1,y). [para(2264(a,1),1665(a,1,2))]. 2291 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2269(a,1),1205(a,1,1))]. 2292 x * K(x \ (x / T(x,y)),x) = 1 / (1 / x). [para(2269(a,2),1483(a,1,2))]. 2293 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(255,a,405,a(flip),b,2232,a(flip)),flip(a)]. 2294 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2232(a,1),167(a,1,1,2))]. 2297 (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. [para(2242(a,1),19(a,1,2))]. 2299 L(x,T(x,y) \ 1,T(x,y)) = 1 / (1 / x). [hyper(1614,a,2292,a)]. 2300 T(x,y) \ (1 / (1 / x)) = (T(x,y) \ 1) * x. [hyper(80,a,2292,a(flip),b,1207,a)]. 2301 L(L(x,y,z),T(x,u) \ 1,T(x,u)) = L(1 / (1 / x),y,z). [para(2299(a,1),50(a,1,1)),flip(a)]. 2302 ((x \ 1) \ 1) * T(T(x,y) \ 1,x) = T(x,y) \ x. [hyper(255,a,1894,a,b,2297,a(flip)),flip(a)]. 2305 x * T(x \ (x / y),y) != z | K(y \ 1,y) * (x / y) = z. [para(974(a,1),2271(a,1))]. 2306 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1846(a,1),2279(a,2,2))]. 2307 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2279(a,1),2267(a,1))]. 2308 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(18(a,1),2293(a,2,1,1))]. 2309 T(x,((y * x) / y) \ 1) != z | T(x,x \ 1) = z. [para(2308(a,2),287(a,1))]. 2310 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(18(a,1),2294(a,1,1,2,1,1))]. 2311 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2294(a,1),226(a,1,1)),flip(b)]. 2313 T(((x * y) / x) * (((x * y) / x) \ K(y \ 1,y)),((x * y) / x) \ y) = K(y \ (((x * y) / x) \ y),y). [para(2289(a,2),1222(a,1,1,2))]. 2315 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(751,a,2288,a)]. 2316 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(167(a,1),2236(a,1,1))]. 2318 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [para(2247(a,2),2273(a,1,1))]. 2319 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(37(a,2),1736(a,1,2,1,1)),flip(a)]. 2320 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(832(a,1),2319(a,1,2))]. 2321 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1752,a,2320,a),flip(a)]. 2322 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(18(a,1),2321(a,1,2,1,2)),flip(a)]. 2323 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(167(a,1),2322(a,1,1,2,1,2)),flip(a)]. 2324 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(172,a,1901,a,b,1771,a(flip))]. 2325 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(172,a,1900,a(flip),b,1771,a(flip)),flip(a)]. 2326 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(581(a,1),1948(a,2,2,1))]. 2327 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1622(a,1),1972(a,1,2)),flip(a)]. 2328 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(96,a,2327,a)]. 2329 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2328(a,1),810(a,1,1))]. 2330 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(255,a,253,a(flip),b,2329,a(flip))]. 2331 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2330(a,1),627(a,1,1))]. 2332 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(255,a,129,a(flip),b,2331,a(flip))]. 2333 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(255,a,31,a,b,2332,a),flip(a)]. 2334 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(31(a,2),2333(a,2,1,2)),flip(a)]. 2335 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(2334(a,1),21(a,1,1))]. 2336 T(K(x,y),1 / y) = K(x,y). [para(2334(a,1),166(a,1,1))]. 2337 T(1 / x,K(y,x)) = 1 / x. [hyper(40,a,2336,a)]. 2338 T(x \ 1,K(y,x)) = T(1 / x,x). [para(2337(a,1),185(a,1,1)),flip(a)]. 2341 T(x \ 1,K(y,x)) = x \ 1. [hyper(255,a,129,a(flip),b,2338,a)]. 2343 T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). [para(2341(a,1),344(a,2,1))]. 2344 T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). [para(19(a,1),2343(a,1,1,1))]. 2345 T(x \ y,K(z,y \ x)) = x \ y. [hyper(255,a,342,a(flip),b,2344,a)]. 2346 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(2345(a,1),127(a,1,2))]. 2347 ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). [para(290(a,1),1981(a,1,2,1,2)),flip(a)]. 2348 (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). [para(167(a,1),2347(a,1,1)),flip(a)]. 2349 x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. [para(167(a,1),2348(a,1,2)),flip(a)]. 2350 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). [para(2349(a,1),1919(a,1,2,1)),flip(a)]. 2351 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). [para(20(a,1),2350(a,2,2))]. 2352 (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. [para(2351(a,1),19(a,1,2))]. 2355 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1903(a,1),2009(a,1,2)),flip(a)]. 2356 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1909(a,2),2355(a,1,1))]. 2357 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(169(a,1),2038(a,2,1))]. 2358 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(255,a,67,a(flip),b,2357,a)]. 2360 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(2358(a,1),1143(a,1,1)),flip(a)]. 2361 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(255,a,1786,a(flip),b,2360,a(flip)),flip(a)]. 2362 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(73(a,1),2361(a,1,1,2,1))]. 2363 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(73(a,1),2362(a,2,2,1))]. 2364 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(2363(a,1),19(a,1,2))]. 2365 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(2363(a,1),2136(a,1,1))]. 2366 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(20(a,1),2365(a,1,1,2))]. 2367 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(81,a,20,a(flip),b,2364,a),flip(a)]. 2368 K(1 / x,(y / (x * y)) * x) = 1. [para(20(a,1),2366(a,1,2,2))]. 2369 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(42,a,2368,a)]. 2370 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1866,a,2369,a)]. 2371 L(x \ 1,x,(x \ y) / y) = 1 / x. [para(19(a,1),2370(a,1,3,2))]. 2372 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(163(a,2),2370(a,1,3))]. 2373 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(2370(a,1),341(a,1,2))]. 2374 (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. [para(2371(a,1),341(a,1,2))]. 2375 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(2372(a,1),347(a,1,2))]. 2376 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(2373(a,1),1792(a,1,2))]. 2377 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(2376(a,1),19(a,1,2)),flip(a)]. 2379 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1176,a,2375,a)]. 2380 T(1 / (1 / x),y / (x * y)) = x. [para(163(a,1),2379(a,1,2))]. 2381 T(x,y / (x * y)) = T(x,x \ 1). [para(2380(a,1),1440(a,1,1)),flip(a)]. 2382 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(255,a,128,a(flip),b,2381,a)]. 2383 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(80,a,2381,a,b,1522,a)]. 2384 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(2381(a,1),1292(a,2,1))]. 2385 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(21(a,1),2382(a,1,2,2))]. 2386 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(2385(a,1),397(a,1,1))]. 2387 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(20(a,1),2367(a,1,1)),flip(a)]. 2388 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(2387(a,1),1211(a,1,1,2))]. 2389 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(1390,a,2386,a)]. 2390 T(x,y / (y * x)) = T(x,x \ 1). [hyper(2309,a,2389,a),flip(a)]. 2391 T(x,y / (y * x)) = (x \ 1) \ 1. [hyper(255,a,2308,a(flip),b,2389,a(flip))]. 2392 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2390(a,1),127(a,1,2))]. 2394 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(19(a,1),2391(a,1,2,2))]. 2396 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(70(a,1),2394(a,1,2))]. 2397 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(255,a,615,a(flip),b,2388,a(flip))]. 2399 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [para(2397(a,1),21(a,1,1))]. 2402 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(18(a,1),2130(a,1,1,1))]. 2403 x \ T(x,(y * x) \ y) = T(K(x,(y * x) \ y),x). [hyper(172,a,2402,a,b,19,a),flip(a)]. 2406 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2280(a,1),2315(a,1,1,2))]. 2407 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(814,a,845,a),flip(a)]. 2408 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(21(a,1),2407(a,1,2,1,2,2)),flip(a)]. 2409 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(789(a,1),2407(a,2,1))]. 2410 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(308,a,2408,a),flip(a)]. 2411 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2408(a,1),308(a,1))]. 2412 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(997,a,2410,a),flip(a)]. 2413 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(255,a,1332,a(flip),b,2410,a(flip)),flip(a)]. 2414 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [hyper(172,a,2412,a,b,19,a),flip(a)]. 2416 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(301(a,2),2413(a,2,1,2,1)),flip(a)]. 2417 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1903(a,1),2413(a,1,2)),flip(a)]. 2418 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(996(a,1),2411(a,1))]. 2420 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). [hyper(1054,a,2409,a),flip(a)]. 2421 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(308,a,2409,a),flip(a)]. 2422 (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). [hyper(172,a,2409,a(flip),b,1770,a),flip(a)]. 2424 T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(37(a,2),2422(a,1,1))]. 2425 T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(37(a,2),2424(a,1,2,1,2,1))]. 2426 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(255,a,427,a(flip),b,901,a)]. 2427 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(940(a,1),2426(a,2,2))]. 2428 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2427(a,1),1604(a,1,1)),flip(a)]. 2429 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(255,a,1423,a(flip),b,1032,a(flip)),flip(a)]. 2430 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = (L(x \ 1,y,z) * x) * x. [hyper(255,a,460,a(flip),b,1539,a)]. 2431 x * (x * L(x \ (x \ (1 / (1 / x))),y,z)) = (L(x \ 1,y,z) * x) * x. [hyper(1048,a,2430,a)]. 2432 x * (x * L(x \ K(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(1480(a,1),2431(a,1,2,2,1,2))]. 2433 x * (x * L(T(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(294(a,1),2432(a,1,2,2,1))]. 2434 (L(x \ 1,y,z) * x) * x = x * (L(x \ 1,y,z) * x). [para(183(a,1),2433(a,1,2)),flip(a)]. 2435 T(x,L(x \ 1,y,z) * x) = x. [hyper(173,a,2434,a)]. 2436 T(x \ y,(y \ x) * (x \ y)) = x \ y. [para(342(a,1),2435(a,1,2,1))]. 2437 T(x \ (x / y),y * (x \ (x / y))) = x \ (x / y). [para(73(a,1),2436(a,1,2,1))]. 2438 R(x \ (x / y),y,x \ (x / y)) = T(x \ (x / y),y). [para(2437(a,1),718(a,1,1))]. 2439 T(x \ (x / y),y) \ T((x \ (x / y)) * y,x \ (x / y)) = T(y,x \ (x / y)). [para(2438(a,1),1319(a,1,1))]. 2440 T(x \ (x / y),y) \ ((x \ (x / y)) * y) = T(y,x \ (x / y)). [para(1733(a,1),2439(a,1,2))]. 2441 T(x,T(y \ (y / x),x)) = T(x,y \ (y / x)). [hyper(359,a,2440,a)]. 2442 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(T(1 / x,R(x,y,z)),x)). [para(1175(a,1),2441(a,1,2,1)),flip(a)]. 2443 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(x \ 1,R(x,y,z))). [para(185(a,1),2442(a,2,2))]. 2444 T(x,T(1 / x,R(x,y,z))) = T(x,T(x \ 1,R(x,y,z))). [para(1175(a,1),2443(a,1,2))]. 2445 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(895(a,1),1590(a,1,1))]. 2446 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1109(a,1),2445(a,1,1))]. 2447 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1588(a,1),2446(a,1,2))]. 2448 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(255,a,45,a,b,2447,a(flip)),flip(a)]. 2449 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1571(a,1),2448(a,1,1))]. 2450 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(255,a,1109,a,b,2449,a(flip)),flip(a)]. 2451 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2449(a,1),2012(a,1,2))]. 2452 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(255,a,1591,a(flip),b,2450,a(flip))]. 2453 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(656(a,1),1750(a,1,1)),flip(a)]. 2454 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * (y * T(y \ 1,z))) * z. [para(127(a,1),2453(a,1,2))]. 2455 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). [para(1406(a,1),2099(a,2,2))]. 2456 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(664(a,1),2429(a,1,2)),flip(a)]. 2457 T(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x. [para(2456(a,2),1540(a,1,2))]. 2458 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). [hyper(255,a,192,a(flip),b,2455,a)]. 2459 L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). [para(1529(a,1),2458(a,1,1)),flip(a)]. 2460 K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). [para(127(a,1),2459(a,1,1)),flip(a)]. 2461 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(189(a,2),1010(a,1,2,1,1))]. 2462 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1448(a,2),1461(a,1,2,1,1))]. 2463 (x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1709(a,1),1692(a,1,2,1))]. 2464 T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z). [para(1160(a,1),2463(a,1,2)),flip(a)]. 2465 T(x \ 1,R(x,y,z)) \ ((x \ 1) * R(x,y,z)) = T(R(x,y,z),x \ 1). [para(2464(a,1),1716(a,1,2))]. 2466 T(R(x,y,z),T(x \ 1,R(x,y,z))) = T(R(x,y,z),x \ 1). [hyper(359,a,2465,a)]. 2467 R(T(x,T(x \ 1,R(x,y,z))),y,z) = T(R(x,y,z),x \ 1). [hyper(255,a,47,a,b,2466,a(flip)),flip(a)]. 2468 R(T(x,T(x \ 1,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [hyper(255,a,47,a,b,2467,a)]. 2469 R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [para(2444(a,2),2468(a,1,1))]. 2470 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). [para(1203(a,2),1734(a,2,2,1))]. 2471 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(37(a,2),1745(a,1,1,2,2,1,2)),flip(a)]. 2472 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(66(a,1),1748(a,1,1)),flip(a)]. 2473 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(127(a,1),2472(a,1,1))]. 2475 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(18(a,1),2473(a,1,1,1)),flip(a)]. 2476 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2473(a,1),25(a,1))]. 2477 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2475(a,2),25(a,1))]. 2478 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1529(a,1),1829(a,1,1))]. 2479 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1020(a,1),2478(a,1,2))]. 2480 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(255,a,2165,a(flip),b,2479,a(flip)),flip(a)]. 2481 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(255,a,2131,a(flip),b,2480,a)]. 2482 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(23,a,2161,a,b,2481,a(flip)),flip(a)]. 2483 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(255,a,162,a(flip),b,2482,a),flip(a)]. 2484 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(162(a,1),2483(a,2,2,2)),flip(a)]. 2485 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(255,a,17,a,b,2484,a)]. 2486 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(87,a,2484,a)]. 2487 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2486(a,1),241(a,1,1))]. 2488 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(22,a,1030,a,b,2485,a(flip)),flip(a)]. 2489 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(80,a,2488,a(flip),b,2456,a(flip)),flip(a)]. 2490 T(1 / (1 / x),(y * x) \ y) / 1 = x. [para(2488(a,1),2457(a,1,2))]. 2492 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(255,a,128,a,b,2489,a)]. 2493 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(81,a,2489,a(flip),b,2402,a),flip(a)]. 2494 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(19(a,1),2489(a,1,2,1))]. 2495 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(104(a,1),2492(a,1,2,1))]. 2496 T(1 / (1 / x),(y * x) \ y) = x. [hyper(216,a,2490,a)]. 2498 T(1 / (1 / (x \ y)),y \ x) = x \ y. [para(19(a,1),2496(a,1,2,1))]. 2499 (((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y). [para(2496(a,1),167(a,1,1,2))]. 2500 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(255,a,1447,a(flip),b,2493,a)]. 2502 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(19(a,1),2500(a,1,2,1)),flip(a)]. 2503 K(x,y \ (y / x)) = K(x,x \ 1). [para(21(a,1),2500(a,1,2,1))]. 2504 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(1115(a,2),2500(a,1,2,1))]. 2505 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2500(a,2),1535(a,1,1))]. 2506 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2500(a,2),2243(a,1,1))]. 2507 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(255,a,616,a,b,2503,a(flip)),flip(a)]. 2508 1 / T(x \ y,y \ x) = (x \ y) \ 1. [para(2494(a,2),70(a,1,2))]. 2509 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(73(a,1),2494(a,1,2))]. 2510 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. [para(1204(a,2),2494(a,1,1))]. 2511 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2494(a,1),1556(a,1,2)),flip(a)]. 2512 K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). [para(2494(a,2),1657(a,2,1,2,2)),flip(a)]. 2513 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(2494(a,2),2294(a,1,1,2))]. 2514 T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). [para(1204(a,2),2498(a,1,1,2,2))]. 2515 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(18(a,1),2508(a,1,2,2))]. 2516 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(1453,a,2502,a)]. 2517 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(18(a,1),2502(a,2,2))]. 2518 T(x,K(y \ z,z \ y)) = x. [para(2502(a,1),2245(a,1,2))]. 2519 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2477,a,2518,a),flip(a)]. 2520 (x * K(y \ z,z \ y)) / x != u | K(y \ z,z \ y) = u. [para(2518(a,1),305(a,1,2)),flip(b)]. 2521 x * (((y \ (y / x)) \ 1) \ 1) = (y \ (y / x)) * x. [para(2509(a,1),127(a,1,2))]. 2522 L(x,(y * x) \ y,x) = 1 / (1 / x). [hyper(255,a,1728,a(flip),b,2499,a(flip)),flip(a)]. 2524 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [para(19(a,1),2522(a,1,2,1))]. 2525 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [hyper(255,a,1735,a(flip),b,2524,a(flip)),flip(a)]. 2526 L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). [para(18(a,1),2524(a,1,2))]. 2527 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2524(a,1),2134(a,1,2)),flip(a)]. 2528 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(617,a,2513,a)]. 2529 T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. [para(18(a,1),2528(a,1,2))]. 2530 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(31(a,2),2495(a,1,2)),flip(a)]. 2531 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(255,a,128,a(flip),b,2530,a(flip))]. 2532 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(255,a,2074,a(flip),b,2531,a(flip))]. 2535 1 / (1 / K(x,y)) = K(x,y). [para(2532(a,1),145(a,1,2,2))]. 2537 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2502(a,1),2527(a,1,2))]. 2538 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2507(a,1),2537(a,1,2))]. 2539 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ ((x * (y * z)) / L(z,y,x))))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(143(a,1),2538(a,1,1)),flip(a)]. 2540 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [hyper(255,a,2128,a(flip),b,2526,a(flip)),flip(a)]. 2542 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(70(a,1),2540(a,1,1))]. 2543 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(896(a,1),2504(a,1,2))]. 2544 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(255,a,2502,a(flip),b,2543,a)]. 2545 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(193(a,1),2487(a,2,1))]. 2546 T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). [hyper(255,a,1656,a(flip),b,2512,a(flip))]. 2547 T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). [para(18(a,1),2546(a,1,1,1)),flip(a)]. 2548 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). [para(2535(a,1),2514(a,1,1))]. 2549 ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). [hyper(255,a,2510,a(flip),b,2548,a(flip)),flip(a)]. 2550 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(2549(a,1),70(a,1,2))]. 2551 (x \ 1) \ (T(x,y) \ 1) = 1 / (x \ T(x,y)). [hyper(255,a,2179,a,b,2550,a),flip(a)]. 2552 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). [para(18(a,1),2547(a,1,1,1)),flip(a)]. 2553 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). [para(18(a,1),2552(a,2,2))]. 2555 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * (y * x). [para(18(a,1),2003(a,2,2))]. 2556 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = L(x,y,1 / y). [hyper(255,a,192,a(flip),b,2555,a)]. 2558 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | L(x,y,1 / y) = z. [para(2555(a,2),434(a,1))]. 2559 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | (1 / y) * (y * x) = z. [para(2556(a,2),366(a,1))]. 2560 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1158(a,1),2093(a,1,2,1)),flip(a)]. 2561 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(80,a,64,a(flip),b,2560,a),flip(a)]. 2562 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1150(a,1),2095(a,1,2,1)),flip(a)]. 2563 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(80,a,64,a(flip),b,2562,a),flip(a)]. 2564 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2563(a,1),24(a,1))]. 2565 x \ ((x * (y * T(y \ 1,x))) \ x) = (x * (y * T(y \ 1,x))) \ 1. [para(2144(a,1),2145(a,1,1)),flip(a)]. 2566 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(2144(a,1),2146(a,1,2)),flip(a)]. 2567 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(255,a,18,a(flip),b,2566,a)]. 2569 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(924(a,1),2567(a,1,1,2)),flip(a)]. 2570 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). [para(953(a,2),2567(a,1,1,2)),flip(a)]. 2571 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(255,a,924,a(flip),b,2569,a(flip))]. 2572 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(977,a,2570,a),flip(a)]. 2573 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(313,a,2572,a),flip(a)]. 2574 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(255,a,192,a(flip),b,2147,a)]. 2575 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(2144(a,1),2574(a,1,1)),flip(a)]. 2576 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(953(a,2),2575(a,1,1)),flip(a)]. 2577 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(953(a,2),2576(a,1,1,2)),flip(a)]. 2578 (T(x,y) \ x) * T(x \ 1,T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(185(a,1),2200(a,1,2))]. 2579 ((T(x,y) \ x) / x) * K(x \ 1,x) = (x \ 1) * (T(x,y) \ x). [hyper(225,a,2578,a),flip(a)]. 2581 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(21(a,1),2421(a,2,2,1,2,1))]. 2582 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(96,a,2581,a)]. 2583 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(16(a,1),2582(a,1,1,2,1,2,2)),flip(a)]. 2584 ((x * y) * L((x \ (z * u)) / y,y,x)) / u = ((x * y) / u) * ((y * (((x * y) / u) \ z)) / y). [para(782(a,2),2582(a,1,1,2))]. 2585 ((x * y) * ((y * ((x * y) \ x)) / y)) / x = ((x * y) / x) * ((((x * y) / x) \ y) / y). [para(1146(a,1),2583(a,1,2,1)),flip(a)]. 2586 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2427(a,1),2428(a,1,2,1)),flip(a)]. 2587 L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). [hyper(362,a,2460,a),flip(a)]. 2588 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. [hyper(255,a,1753,a(flip),b,2461,a)]. 2589 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(935(a,1),2462(a,2,2))]. 2590 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(255,a,1680,a(flip),b,2589,a)]. 2591 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(661,a,2590,a),flip(a)]. 2592 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(18(a,1),2590(a,1,2,1)),flip(a)]. 2593 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [para(2590(a,1),855(a,1,2)),flip(a)]. 2594 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(129(a,1),2591(a,2,1))]. 2595 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2592(a,2),1824(a,1,2))]. 2596 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(255,a,2112,a(flip),b,2594,a(flip)),flip(a)]. 2597 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2596(a,1),19(a,1,2))]. 2598 ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). [para(73(a,1),2596(a,1,2,2,2)),flip(a)]. 2599 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(18(a,1),2597(a,1,2,1)),flip(a)]. 2600 R(x,y,K(x,x \ 1)) = x. [hyper(454,a,2599,a)]. 2601 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = ((1 / x) * y) * K(x \ 1,x). [para(1529(a,1),2599(a,1,2)),flip(a)]. 2602 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2600(a,1),47(a,2,1))]. 2603 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(255,a,2111,a(flip),b,2602,a(flip))]. 2605 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1451(a,1),2603(a,1,2,2))]. 2606 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(225,a,2595,a)]. 2607 K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. [para(2595(a,1),225(a,1))]. 2608 L(x,y,K(x,x \ 1)) = x. [hyper(422,a,2606,a)]. 2609 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1529(a,1),2608(a,1,3))]. 2610 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2609(a,1),45(a,2,1))]. 2611 (1 / K(x,x \ 1)) * T(y,x) = T(((x \ 1) * x) * y,x). [para(281(a,1),2593(a,1,1,1)),flip(a)]. 2612 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(189(a,2),2611(a,2,1,1))]. 2613 T(K(x \ 1,x) * y,x) = ((x \ 1) * x) * T(y,x). [para(281(a,1),2612(a,1,1)),flip(a)]. 2614 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(189(a,2),2613(a,2,1))]. 2615 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2614(a,2),1407(a,1,2))]. 2616 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(225,a,2615,a)]. 2617 L(x,y,K(x \ 1,x)) = x. [hyper(422,a,2616,a)]. 2618 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2617(a,1),45(a,2,1))]. 2619 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(2157,a,2618,a)]. 2620 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(1009(a,1),2619(a,1,2)),flip(a)]. 2621 (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(382(a,1),2598(a,1,1)),flip(a)]. 2622 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2193(a,1),2601(a,2,1))]. 2623 (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(1533(a,1),2621(a,1,2,2))]. 2624 (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2587(a,2),2623(a,1,2))]. 2625 (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). [hyper(497,a,2624,a),flip(a)]. 2626 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(1529(a,1),2625(a,1,2))]. 2627 R(x,y,K(x \ 1,x)) = x. [hyper(454,a,2626,a)]. 2628 x * ((T(x,y) \ 1) * K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x). [para(1083(a,1),2626(a,1,1)),flip(a)]. 2629 R(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2627(a,1),47(a,2,1))]. 2630 x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. [para(2627(a,1),230(a,1,1))]. 2631 (T(x,y) \ 1) * K(x \ 1,x) = T(x,y) \ K(x \ 1,x). [para(2629(a,1),379(a,1,1)),flip(a)]. 2632 (T(x,y) \ x) * K(x \ 1,x) = x * (T(x,y) \ K(x \ 1,x)). [para(2631(a,1),2628(a,1,2)),flip(a)]. 2633 (T(x,y) \ x) * K(x \ 1,x) = T(x,y) \ (1 / (1 / x)). [hyper(255,a,1484,a(flip),b,2632,a)]. 2634 ((x * y) / x) * ((((x * y) / x) \ y) / y) = ((x * y) * L(1 / y,y,x)) / x. [para(763(a,1),2585(a,1,1,2)),flip(a)]. 2635 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * (y * (1 / y))) / x. [para(112(a,1),2634(a,2,1))]. 2636 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * K(y,y \ 1)) / x. [para(1448(a,2),2635(a,2,1,2))]. 2637 K(x,1 / ((y * x) / y)) = (y * K(x,x \ 1)) / y. [hyper(255,a,2102,a(flip),b,2636,a(flip)),flip(a)]. 2638 (x * K(x \ y,(x \ y) \ 1)) / x = K(x \ y,1 / (y / x)). [para(19(a,1),2637(a,1,2,2,1)),flip(a)]. 2639 (x * K(x \ y,y \ x)) / x = K(x \ y,1 / (y / x)). [para(2502(a,1),2638(a,1,1,2))]. 2640 (x * (1 / (1 / (x \ y)))) / y = K(y \ x,1 / (x / y)). [para(2527(a,1),2638(a,1,1))]. 2641 K(x \ y,1 / (y / x)) != z | K(x \ y,y \ x) = z. [para(2639(a,1),2520(a,1))]. 2642 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * (1 / (1 / K(x,(x / (y \ 1)) / x)))) / ((x * y) / x). [para(1911(a,2),2640(a,1,1,2,2,2)),flip(a)]. 2643 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(255,a,459,a(flip),b,653,a)]. 2644 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(839,a,2643,a)]. 2645 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(127(a,1),2644(a,1,2)),flip(a)]. 2646 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(255,a,1870,a(flip),b,1045,a(flip)),flip(a)]. 2648 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2646(a,1),789(a,1,1)),flip(a)]. 2649 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(255,a,570,a(flip),b,2648,a)]. 2650 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(255,a,1914,a(flip),b,2649,a(flip))]. 2651 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(839,a,1564,a),flip(a)]. 2652 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(656(a,1),2651(a,2,2))]. 2653 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(422,a,2652,a)]. 2654 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(255,a,1200,a(flip),b,2653,a),flip(a)]. 2655 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(67(a,1),2653(a,2,1,2))]. 2656 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(924(a,1),2653(a,1,1))]. 2657 L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). [para(20(a,1),2656(a,2,1,2))]. 2658 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(386(a,1),2656(a,2,1,2))]. 2659 L(x * T(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u. [para(2654(a,1),413(a,1))]. 2660 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2403(a,1),2658(a,1,1))]. 2661 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2506(a,1),2660(a,1,1))]. 2662 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2661(a,2),390(a,1,1)),flip(a)]. 2663 T(x,L(K(y,y \ 1),y,z)) = x. [para(2661(a,2),2256(a,1,2))]. 2665 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(255,a,2517,a(flip),b,2662,a(flip)),flip(a)]. 2666 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1638(a,1),1585(a,2,1))]. 2667 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1190(a,1),2666(a,2,1,1))]. 2668 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(255,a,35,a,b,2667,a),flip(a)]. 2669 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2667(a,2),466(a,1))]. 2670 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(255,a,1200,a(flip),b,2668,a),flip(a)]. 2671 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(67(a,1),2668(a,2,1,2))]. 2672 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1162(a,1),2668(a,2,1,2))]. 2673 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(225,a,2670,a),flip(a)]. 2675 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [hyper(255,a,953,a,b,979,a)]. 2676 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),((x * y) \ x) \ 1). [para(2675(a,1),129(a,1,1)),flip(a)]. 2677 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),y). [hyper(255,a,2553,a(flip),b,2676,a)]. 2678 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(189(a,2),1047(a,1,2,1,1))]. 2679 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(189(a,2),1049(a,1,2,1,1))]. 2680 (T(x,y) \ 1) * L(T(x,T(x,y) \ 1),z,u) = T(x,y) \ L(x,z,u). [para(19(a,1),1152(a,1,2,1)),flip(a)]. 2681 L(x,y,z) \ (T(x,u) \ L(x,y,z)) = T(x,u) \ 1. [hyper(80,a,2680,a(flip),b,183,a(flip))]. 2682 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1790(a,1),1178(a,1,1))]. 2683 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2469(a,1),2682(a,1,1))]. 2684 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1175(a,1),2683(a,2,1))]. 2685 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(2684(a,2),624(a,1))]. 2686 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(37(a,2),1215(a,1,1))]. 2687 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2159(a,1),2686(a,2,2))]. 2688 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(826(a,1),1396(a,1,2)),flip(a)]. 2689 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2654(a,1),1433(a,1,1))]. 2690 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(289(a,1),2689(a,1,1,1))]. 2691 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1424(a,1),2690(a,1,2))]. 2692 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [hyper(255,a,45,a,b,2691,a(flip)),flip(a)]. 2693 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1429(a,1),2692(a,2,1))]. 2694 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2258(a,1),2693(a,1,1))]. 2695 (x * y) * K(L(z,y,x) \ 1,z) = x * (y * K(z \ 1,z)). [para(2694(a,1),112(a,1,2))]. 2697 (x * y) * z != x * (y * K(u \ 1,u)) | K(L(u,y,x) \ 1,u) = z. [para(2695(a,1),24(a,1)),flip(a)]. 2698 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(105(a,1),2326(a,1,1))]. 2699 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(105(a,1),2698(a,1,2,1,1))]. 2700 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = (x \ 1) * (T(x,y) \ x). [hyper(255,a,2579,a(flip),b,2622,a)]. 2701 (1 / x) * ((T(x,y) \ x) * K(x \ 1,x)) = (x \ 1) * (T(x,y) \ x). [para(1529(a,1),2700(a,1,2,2))]. 2702 (1 / x) * (T(x,y) \ (1 / (1 / x))) = (x \ 1) * (T(x,y) \ x). [para(2633(a,1),2701(a,1,2))]. 2703 (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). [para(2300(a,1),2702(a,1,2))]. 2704 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(2199,a,2703,a),flip(a)]. 2705 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(80,a,2198,a(flip),b,2703,a(flip))]. 2707 T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). [hyper(284,a,2704,a),flip(a)]. 2708 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(255,a,2551,a(flip),b,2705,a(flip)),flip(a)]. 2709 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(255,a,2179,a(flip),b,2705,a(flip)),flip(a)]. 2710 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(2708(a,1),148(a,1,2,1))]. 2711 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(47(a,2),2709(a,1,1,2))]. 2712 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(129(a,1),2709(a,1,1,2)),flip(a)]. 2713 (x * T(x \ 1,y)) \ 1 = T(1 / x,y) \ (1 / x). [para(663(a,1),2709(a,1,1))]. 2714 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1923(a,1),2709(a,1,1,2)),flip(a)]. 2715 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(129(a,1),2712(a,1,1)),flip(a)]. 2716 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(18(a,1),2715(a,1,1,2)),flip(a)]. 2717 (x * T(x \ 1,y)) \ 1 = x \ (T(1 / x,y) \ 1). [hyper(255,a,2707,a(flip),b,2713,a)]. 2718 (x \ y) \ (T(1 / (x \ y),z) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1555(a,1),2717(a,1,1)),flip(a)]. 2719 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(18(a,1),2716(a,1,1)),flip(a)]. 2720 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(2719(a,1),70(a,1,2))]. 2722 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(18(a,1),2714(a,2,1))]. 2724 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(47(a,2),2711(a,2,1))]. 2725 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(255,a,1945,a(flip),b,2678,a)]. 2726 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(255,a,1934,a(flip),b,2679,a)]. 2727 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1018(a,1),2725(a,2,1))]. 2728 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(1017(a,1),2726(a,2,1))]. 2729 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(255,a,461,a(flip),b,772,a)]. 2730 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1391,a,2729,a)]. 2731 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1234(a,1),2730(a,2,1,1))]. 2732 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [para(37(a,2),1974(a,1,2,2,1)),flip(a)]. 2733 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(184(a,1),2732(a,2,2))]. 2734 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = L(T(x,y),y,K(z,z \ 1)). [hyper(2277,a,2276,a),flip(a)]. 2735 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(2287,a,2286,a),flip(a)]. 2736 ((x * y) / z) * ((y * (((x * y) / z) \ u)) / y) = (x * (y * ((x \ (u * z)) / y))) / z. [para(112(a,1),2584(a,1,1)),flip(a)]. 2737 x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T((1 / x) \ 1,y)). [para(73(a,1),1139(a,1,2,1)),flip(a)]. 2738 x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)). [para(73(a,1),2737(a,2,2,2,1))]. 2739 x * T(x \ T(x,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)). [para(73(a,1),2738(a,1,2,1,2,1))]. 2740 (1 / x) \ (x \ T(x,y)) = x * T(x \ T(x,y),x). [para(73(a,1),2739(a,1,2,2)),flip(a)]. 2741 (1 / x) \ (x \ T(x,y)) = (x \ T(x,y)) * x. [hyper(255,a,127,a(flip),b,2740,a)]. 2742 (x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ (x \ (x * K(x,y))). [para(1923(a,1),2741(a,1,2,2)),flip(a)]. 2743 (x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ K(x,y). [para(18(a,1),2742(a,2,2))]. 2745 (x \ (x * K(x,y))) * x = (1 / x) \ K(x,y). [para(1923(a,1),2743(a,1,1,2))]. 2746 (1 / x) \ K(x,y) = K(x,y) * x. [para(18(a,1),2745(a,1,1)),flip(a)]. 2748 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(18(a,1),1808(a,1,2,1)),flip(a)]. 2749 K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [hyper(255,a,1466,a(flip),b,1889,a)]. 2750 K(x,x \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [para(1888(a,1),2749(a,1,1))]. 2751 L(x \ y,x,K(x,x \ 1)) = K(x,x \ 1) * (((x \ 1) \ 1) \ y). [para(128(a,1),2750(a,1,2,1)),flip(a)]. 2752 a(x,x \ y,L(T(x,x \ y),z,u)) = (L(x,z,u) * y) \ (y * L(T(x,x \ y),z,u)). [para(19(a,1),2166(a,1,2,1)),flip(a)]. 2754 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(255,a,1734,a(flip),b,2470,a(flip))]. 2755 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(2183(a,1),2754(a,1,2))]. 2756 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(255,a,2211,a(flip),b,2755,a(flip))]. 2757 T(1 / (1 / x),y) \ T(x,y) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2756(a,1),2206(a,1))]. 2758 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1720(a,1),2657(a,1,1,2)),flip(a)]. 2759 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(60(a,1),2758(a,2,1))]. 2760 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(255,a,325,a(flip),b,2759,a)]. 2763 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2760(a,1),263(a,1,2)),flip(a)]. 2764 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(255,a,17,a(flip),b,2763,a)]. 2765 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2764(a,1),25(a,1)),flip(a)]. 2766 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1962(a,1),1920(a,1,2,1))]. 2767 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(20(a,1),2766(a,1,2)),flip(a)]. 2768 (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). [para(2767(a,1),19(a,1,2)),flip(a)]. 2770 (x \ 1) * K(R(x,y,z),x \ 1) != u | (x \ R(x,y,z)) / R(x,y,z) = u. [para(2767(a,1),220(a,1,2)),flip(b)]. 2771 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. [para(2768(a,2),222(a,1,2)),flip(b)]. 2772 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(2182(a,1),1290(a,1,1,2))]. 2773 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(939(a,1),2772(a,1,1,2)),flip(a)]. 2774 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(942(a,1),2773(a,2,1))]. 2775 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(407(a,1),2774(a,1,1))]. 2776 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(2757,a,2775,a)]. 2778 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(1111(a,1),2089(a,2,2,1))]. 2779 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1925(a,1),2778(a,1,1)),flip(a)]. 2780 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(255,a,2101,a(flip),b,2779,a(flip)),flip(a)]. 2781 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(765(a,1),2155(a,2,1))]. 2782 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(255,a,2688,a(flip),b,2781,a)]. 2783 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1773(a,1),2156(a,2,2,1))]. 2784 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(20(a,1),2783(a,2,2))]. 2785 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [hyper(255,a,2782,a(flip),b,2784,a(flip)),flip(a)]. 2787 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [para(2785(a,1),19(a,1,2))]. 2788 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(255,a,2525,a(flip),b,2787,a)]. 2789 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(22,a,1483,a,b,2788,a),flip(a)]. 2790 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(255,a,615,a(flip),b,2789,a)]. 2791 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2789(a,1),2511(a,1,2))]. 2792 L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). [hyper(255,a,2661,a,b,2790,a(flip)),flip(a)]. 2793 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(2790(a,1),1573(a,1,2))]. 2794 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(255,a,2500,a(flip),b,2792,a)]. 2795 K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). [para(2792(a,1),2665(a,2,1)),flip(a)]. 2797 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(1529(a,1),2794(a,1,1))]. 2798 K((x * y) \ x,y) = K(y \ 1,y). [hyper(255,a,2505,a(flip),b,2795,a(flip))]. 2800 K(x \ (x / y),y) = K(y \ 1,y). [para(21(a,1),2798(a,1,1,1))]. 2801 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(127(a,1),2798(a,1,1,1)),flip(a)]. 2802 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). [para(897(a,1),2800(a,1,1,2)),flip(a)]. 2803 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(37(a,1),2801(a,2,2)),flip(a)]. 2804 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(255,a,1529,a(flip),b,2797,a)]. 2805 (x * (y \ 1)) / K(y \ 1,y) = x * (1 / y). [para(2804(a,1),697(a,1,2))]. 2806 (x / (y \ 1)) * (1 / y) = x / K(y \ 1,y). [para(2804(a,1),699(a,1,2)),flip(a)]. 2807 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1764,a,2805,a)]. 2808 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(520,a,2805,a),flip(a)]. 2809 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(2805(a,1),21(a,1,1))]. 2810 (x * (1 / y)) * y = R(x,y \ 1,y). [para(2805(a,1),1763(a,1,1))]. 2812 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(1034,a,2807,a),flip(a)]. 2813 R(x / (1 / y),y \ 1,y) = x * y. [hyper(479,a,2812,a),flip(a)]. 2814 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [hyper(255,a,554,a(flip),b,2812,a(flip))]. 2815 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(70(a,1),2812(a,1,2)),flip(a)]. 2816 x \ R(x,y \ 1,y) = a(x,1 / y,y). [para(2812(a,1),648(a,1,2))]. 2817 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(2335(a,1),2810(a,1,1))]. 2818 L(a(x,1 / y,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2816(a,1),2406(a,1,1))]. 2820 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [para(2808(a,1),21(a,1,1))]. 2821 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2271,a,2809,a)]. 2822 R(x,1 / y,K(y \ 1,y)) = x. [hyper(758,a,2809,a)]. 2823 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1449(a,1),2822(a,1,3))]. 2824 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(255,a,1471,a(flip),b,2823,a(flip)),flip(a)]. 2825 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2823(a,1),1470(a,1,1)),flip(a)]. 2826 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(255,a,1367,a,b,2820,a(flip)),flip(a)]. 2827 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(255,a,1368,a(flip),b,2820,a(flip))]. 2829 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(255,a,2110,a(flip),b,2824,a(flip)),flip(a)]. 2830 x * K(y,y \ 1) != z * y | z * (1 / (1 / y)) = x. [para(2825(a,1),25(a,1)),flip(a)]. 2831 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2826(a,1),21(a,1,1))]. 2832 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2826(a,1),2813(a,1,1))]. 2833 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2271,a,2827,a)]. 2835 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(255,a,2538,a(flip),b,2829,a(flip)),flip(a)]. 2836 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(80,a,2829,a(flip),b,2538,a(flip)),flip(a)]. 2838 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(2528(a,1),2814(a,1,1)),flip(a)]. 2839 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(70(a,1),2835(a,1,2,2,2,2)),flip(a)]. 2841 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(70(a,1),2836(a,2,2,2,2))]. 2842 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2836(a,1),73(a,1,1))]. 2843 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(18(a,1),2839(a,2,2,2,2))]. 2844 (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). [para(2839(a,1),73(a,1,1))]. 2846 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(145(a,1),2842(a,1,1,2,2)),flip(a)]. 2847 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2542(a,2),2843(a,1,2))]. 2848 x / L(y,y \ 1,x) = x * (1 / y). [para(70(a,1),2847(a,2,2,2))]. 2849 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2848(a,2),615(a,1,1,2))]. 2850 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(255,a,2653,a,b,2849,a(flip)),flip(a)]. 2851 x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). [hyper(255,a,115,a,b,2850,a(flip)),flip(a)]. 2852 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(73(a,1),2850(a,1,2))]. 2853 (x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)). [para(37(a,2),2844(a,1,1,2,2,2))]. 2855 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2846(a,1),73(a,1,1))]. 2856 x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). [para(2846(a,1),148(a,1,2,1))]. 2857 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(255,a,2509,a,b,2855,a(flip)),flip(a)]. 2858 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2855(a,1),2521(a,1,2))]. 2859 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2857(a,2),19(a,1,2))]. 2861 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(2307,a,2859,a)]. 2862 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(2305,a,2859,a)]. 2863 x * T(x \ (x / y),y) = x / T(y,y \ 1). [hyper(255,a,601,a,b,2859,a)]. 2864 (x / y) * K(y \ 1,y) = x / T(y,y \ 1). [hyper(255,a,601,a,b,2861,a)]. 2865 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(20(a,1),2861(a,1,1)),flip(a)]. 2866 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2861(a,1),1758(a,1,1))]. 2867 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = x * (L(x,y,z) / T(x,x \ 1)). [para(2863(a,1),1427(a,1,2)),flip(a)]. 2868 (x / T(y,y \ 1)) * y = x * K(y \ 1,y). [para(2864(a,1),1758(a,1,1))]. 2869 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [para(2865(a,1),21(a,1,1))]. 2870 (x / ((y \ 1) \ 1)) * y = K(y \ 1,y) * x. [hyper(255,a,2263,a,b,2866,a)]. 2871 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(20(a,1),2866(a,1,1)),flip(a)]. 2872 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(602(a,1),2866(a,1,1)),flip(a)]. 2873 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(972(a,1),2866(a,1,1)),flip(a)]. 2874 x * ((y \ 1) \ 1) != z * y | z * K(y \ 1,y) = x. [para(2869(a,1),25(a,1)),flip(a)]. 2876 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2263(a,2),2869(a,1,1))]. 2877 (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. [para(2809(a,1),2869(a,1,1))]. 2878 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [para(602(a,1),2870(a,1,1)),flip(a)]. 2879 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(23,a,465,a,b,2871,a)]. 2880 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2872(a,1),25(a,1)),flip(a)]. 2881 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2872(a,1),2831(a,1,1)),flip(a)]. 2882 x * ((y \ 1) \ 1) != z * y | K(y \ 1,y) * z = x. [para(2876(a,1),25(a,1)),flip(a)]. 2884 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(468,a,2879,a)]. 2885 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [hyper(80,a,2879,a(flip),b,634,a),flip(a)]. 2886 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(2385(a,2),2879(a,1,2))]. 2887 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(255,a,2812,a,b,2884,a)]. 2888 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(1248(a,2),2887(a,1,3))]. 2889 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(70(a,1),2856(a,1,2,1,1,2)),flip(a)]. 2891 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2392(a,1),2881(a,1,1)),flip(a)]. 2892 a(x,y \ 1,(y \ 1) \ 1) = a(x,1 / y,y). [hyper(255,a,2816,a(flip),b,2885,a)]. 2893 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1197(a,1),2832(a,2,1))]. 2894 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(2500(a,1),2793(a,1,2))]. 2895 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2489(a,1),2894(a,2,2))]. 2896 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2492(a,1),2894(a,2,2))]. 2898 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2249,a,2895,a)]. 2899 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(308,a,2895,a),flip(a)]. 2900 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(255,a,2108,a,b,2895,a(flip)),flip(a)]. 2901 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(127(a,1),2895(a,1,1))]. 2903 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(2249,a,2896,a)]. 2904 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(308,a,2896,a),flip(a)]. 2905 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) = y. [hyper(80,a,2896,a(flip),b,2108,a)]. 2906 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [hyper(2607,a,2898,a)]. 2907 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2228(a,1),2899(a,1,2))]. 2908 (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(81,a,2297,a(flip),b,2900,a),flip(a)]. 2909 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(81,a,314,a(flip),b,2900,a),flip(a)]. 2910 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(23,a,2877,a(flip),b,2900,a)]. 2911 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(23,a,2876,a(flip),b,2900,a)]. 2912 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(23,a,2869,a(flip),b,2900,a)]. 2913 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2882,a,2900,a(flip))]. 2914 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(2874,a,2900,a(flip))]. 2915 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(2830,a,2911,a),flip(a)]. 2916 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(2249,a,2911,a)]. 2917 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(23,a,2377,a(flip),b,2911,a)]. 2918 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(23,a,2247,a(flip),b,2911,a)]. 2919 K(x,x \ 1) \ y = K(x \ 1,x) * y. [hyper(80,a,2911,a(flip),b,2247,a)]. 2920 ((x \ 1) * (x * y)) * K(x,x \ 1) = L(y,x,x \ 1). [para(433(a,1),2911(a,1,1))]. 2921 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2911(a,1),2252(a,2))]. 2924 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2249,a,2912,a)]. 2925 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(308,a,2912,a),flip(a)]. 2926 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(261,a,2912,a)]. 2927 (x / (1 / (1 / y))) * K(y \ 1,y) = x / y. [hyper(23,a,2829,a,b,2912,a)]. 2928 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(23,a,2247,a(flip),b,2912,a)]. 2929 K(x,x \ 1) \ y = y * K(x \ 1,x). [hyper(80,a,2912,a(flip),b,2247,a)]. 2930 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(2912(a,1),2252(a,2))]. 2931 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2913(a,1),24(a,1)),flip(a)]. 2932 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2913(a,1),114(a,2,1))]. 2933 R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)). [para(2914(a,1),123(a,2,1))]. 2934 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(310,a,2916,a),flip(a)]. 2936 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2821(a,1),2916(a,1,2))]. 2937 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2833(a,1),2916(a,1,2))]. 2938 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2918(a,1),24(a,1)),flip(a)]. 2939 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2918(a,1),2266(a,1)),flip(a),flip(b)]. 2941 L(x \ (y * K(z \ 1,z)),x,K(z,z \ 1)) = (K(z,z \ 1) * x) \ y. [para(2924(a,1),114(a,2,2))]. 2942 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(255,a,2806,a,b,2925,a(flip)),flip(a)]. 2943 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2928(a,1),123(a,2,1))]. 2944 K(x * y,(x * y) \ 1) * ((((x * y) \ 1) * x) * y) = a((x * y) \ 1,x,y). [hyper(912,a,2934,a),flip(a)]. 2945 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. [para(2934(a,1),2588(a,1,2,1))]. 2946 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2934(a,1),2727(a,1,2,1))]. 2947 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2934(a,1),2728(a,1,2,1))]. 2948 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [hyper(2607,a,2903,a)]. 2949 L(x,K(x,x \ 1),y) = x. [hyper(1468,a,2905,a)]. 2950 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1529(a,1),2949(a,1,2))]. 2951 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(2910(a,1),457(a,1,1))]. 2953 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2230(a,1),2937(a,1,2,2))]. 2954 K(x / (y * x),y) = K(y \ 1,y). [hyper(23,a,2399,a,b,2917,a),flip(a)]. 2955 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(21(a,1),2954(a,1,1,2)),flip(a)]. 2957 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(20(a,1),2955(a,2,1))]. 2958 K(x,T(x,y) \ 1) = K(x,x \ 1). [hyper(22,a,2352,a,b,2908,a),flip(a)]. 2959 T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). [hyper(255,a,2243,a,b,2958,a),flip(a)]. 2961 T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). [para(2776(a,1),2959(a,1,1))]. 2963 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2803(a,1),2791(a,1,2)),flip(a)]. 2964 (x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)). [para(2230(a,1),2853(a,1,1,2))]. 2965 K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)). [hyper(255,a,2780,a,b,2961,a(flip))]. 2966 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. [para(127(a,1),2964(a,1,1)),flip(a)]. 2967 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). [para(2966(a,1),73(a,1,1))]. 2968 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. [para(70(a,1),2967(a,1,1,1,1,2)),flip(a)]. 2969 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [para(2968(a,1),73(a,1,1))]. 2971 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). [hyper(255,a,2958,a(flip),b,2965,a(flip)),flip(a)]. 2972 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [para(199(a,1),2971(a,2,2))]. 2973 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(255,a,2776,a(flip),b,2972,a(flip)),flip(a)]. 2974 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(939(a,1),2852(a,1,1))]. 2975 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(255,a,784,a(flip),b,2974,a(flip))]. 2976 T(K(1 / (1 / x),y),x) = K(x,y). [para(2975(a,2),166(a,1,1))]. 2977 T(K(1 / x,y),x \ 1) = K(x \ 1,y). [para(70(a,1),2976(a,1,1,1,2))]. 2978 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(199(a,1),2976(a,1,1,1,2))]. 2979 K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). [para(2977(a,1),1801(a,1,2)),flip(a)]. 2980 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(70(a,1),2978(a,1,1,1))]. 2981 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(255,a,1799,a(flip),b,2980,a(flip))]. 2982 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(70(a,1),2888(a,2,2))]. 2983 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(128(a,2),2982(a,1,2))]. 2985 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2776(a,1),2901(a,1,2))]. 2986 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(255,a,2231,a(flip),b,2985,a)]. 2987 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(2973(a,1),2986(a,1,2))]. 2989 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y). [para(200(a,1),2907(a,1,1)),flip(a)]. 2990 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2903(a,1),2946(a,1,2,1))]. 2991 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(2903(a,1),2947(a,1,2,1))]. 2992 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2904(a,1),2991(a,1,2,1))]. 2993 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = x * ((x \ 1) * L(x,y,z)). [para(1850(a,1),2867(a,2,2))]. 2994 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = L(L(x,y,z),x \ 1,x). [hyper(255,a,190,a(flip),b,2993,a)]. 2995 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = L(1 / (1 / x),y,z). [hyper(255,a,1497,a(flip),b,2994,a)]. 2996 L(x,y,z) * (T(1 / x,L(x,y,z)) * x) = L(1 / (1 / x),y,z). [para(1042(a,1),2995(a,1,2,1))]. 2997 L(x,y,z) * (x * T(x \ 1,L(x,y,z))) = L(1 / (1 / x),y,z). [para(396(a,1),2996(a,1,2))]. 2999 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y). [para(2228(a,1),2989(a,2,2,1))]. 3000 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(255,a,182,a(flip),b,2999,a)]. 3001 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(1529(a,1),2953(a,1,1))]. 3002 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1117(a,1),2802(a,2,1))]. 3003 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(255,a,2544,a(flip),b,3002,a)]. 3004 T(K(x \ 1,x),((y * x) / y) \ x) = K(x \ (((y * x) / y) \ x),x). [para(19(a,1),2313(a,1,1))]. 3005 K(x \ (((y * x) / y) \ x),x) = K(x \ 1,x). [hyper(255,a,2258,a(flip),b,3004,a(flip))]. 3008 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2910(a,1),2951(a,1,2)),flip(a)]. 3009 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(255,a,35,a,b,3008,a)]. 3011 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,(z \ 1) \ 1)) = R(x,y,1 / (z \ 1)). [para(128(a,2),3009(a,1,2,2))]. 3012 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). [para(1451(a,1),3011(a,1,3))]. 3013 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). [para(70(a,1),3012(a,2,3))]. 3014 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2605(a,1),1641(a,1,2,2,2)),flip(a)]. 3015 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2950(a,1),3014(a,1,1)),flip(a)]. 3017 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2030(a,1),2160(a,1,2))]. 3018 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(710,a,3017,a),flip(a)]. 3019 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(255,a,2687,a(flip),b,3018,a(flip)),flip(a)]. 3020 K(x,y / (x * y)) = K(x,x \ 1). [hyper(255,a,2383,a(flip),b,3019,a(flip))]. 3022 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(255,a,2957,a,b,3020,a(flip)),flip(a)]. 3023 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(21(a,1),3020(a,1,2,2)),flip(a)]. 3024 K((x / y) \ 1,x / y) = K(y / x,(y / x) \ 1). [hyper(255,a,2955,a,b,3023,a),flip(a)]. 3026 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(3022(a,1),2384(a,1,1))]. 3027 K(x \ 1,x) * (T(x,x \ 1) * y) = x * y. [hyper(2921,a,3026,a)]. 3028 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2253,a,3026,a)]. 3029 T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. [hyper(533,a,3026,a)]. 3030 L(x,y,K(y,y \ 1)) = x. [hyper(1467,a,3026,a(flip))]. 3031 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(255,a,1823,a(flip),b,3026,a(flip)),flip(a)]. 3032 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(81,a,3026,a(flip),b,1823,a(flip))]. 3035 L(x,K(y,y \ 1),y) = x. [hyper(255,a,1830,a,b,3030,a(flip)),flip(a)]. 3036 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(255,a,2751,a(flip),b,3030,a(flip)),flip(a)]. 3037 L(x,K(y,y \ 1),1 / (1 / y)) = x. [hyper(255,a,1899,a(flip),b,3030,a(flip)),flip(a)]. 3038 L(x,K(y \ 1,y),1 / y) = x. [hyper(255,a,1832,a(flip),b,3030,a(flip)),flip(a)]. 3039 L(x,1 / y,K(1 / y,y)) = x. [para(73(a,1),3030(a,1,3,2))]. 3040 L(x,1 / y,K(y \ 1,y)) = x. [para(1529(a,1),3030(a,1,3))]. 3042 x * (((x \ 1) \ 1) \ y) = K(x,x \ 1) \ y. [hyper(255,a,1796,a(flip),b,3035,a(flip)),flip(a)]. 3043 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(2559,a,3038,a)]. 3044 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(2558,a,3038,a)]. 3046 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(80,a,3038,a(flip),b,2555,a(flip))]. 3047 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(3038(a,1),696(a,1,2)),flip(a)]. 3048 L(x,y,y \ 1) != z | (1 / y) * (y * x) = z. [para(3038(a,1),2559(a,1))]. 3049 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1534(a,1),3039(a,1,3))]. 3050 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(255,a,2098,a(flip),b,3040,a(flip)),flip(a)]. 3051 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(3040(a,1),1487(a,1,2)),flip(a)]. 3052 L(x \ y,x,x \ 1) = (1 / x) * y. [para(3040(a,1),1994(a,1,1,2))]. 3053 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [hyper(651,a,3044,a),flip(a)]. 3055 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(70(a,1),3044(a,1,3)),flip(a)]. 3056 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(3044(a,1),689(a,2,1))]. 3058 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [para(3037(a,1),1469(a,1,2)),flip(a)]. 3060 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(190(a,1),3043(a,1,2)),flip(a)]. 3061 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(3043(a,1),268(a,1,1))]. 3062 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(3043(a,1),2969(a,1,1,1,1))]. 3063 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(3049(a,1),1507(a,1,2)),flip(a)]. 3064 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [hyper(255,a,140,a(flip),b,3052,a)]. 3065 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(3052(a,1),2620(a,1,2))]. 3067 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(1408,a,3027,a),flip(a)]. 3068 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [para(128(a,1),3027(a,1,2,1))]. 3069 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(255,a,273,a(flip),b,3028,a)]. 3070 x * (y * K(x,x \ 1)) = T(x,x \ 1) * y. [hyper(255,a,2599,a(flip),b,3028,a(flip)),flip(a)]. 3072 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2924(a,1),3029(a,1,2)),flip(a)]. 3074 R(x,K(x,x \ 1),y) = x. [hyper(1528,a,3032,a)]. 3075 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1529(a,1),3074(a,1,2))]. 3076 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(3075(a,1),2670(a,1,1)),flip(a)]. 3077 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [hyper(2930,a,3036,a)]. 3078 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(2921,a,3036,a)]. 3080 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(3036(a,1),2906(a,1,1)),flip(a)]. 3082 x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x). [hyper(255,a,2929,a(flip),b,3042,a)]. 3083 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(80,a,2919,a(flip),b,3042,a)]. 3084 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [hyper(255,a,2281,a(flip),b,3047,a(flip)),flip(a)]. 3086 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). [para(2833(a,1),3047(a,1,2))]. 3087 (x \ 1) * (y * T(x,x \ 1)) = (1 / x) * (y * x). [para(2878(a,1),3047(a,1,2)),flip(a)]. 3088 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2918(a,1),3047(a,1,2)),flip(a)]. 3090 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2938,a,3050,a)]. 3091 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(2931,a,3050,a)]. 3092 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(2267,a,3050,a)]. 3094 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(3050(a,1),2096(a,1,2))]. 3096 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2938,a,3051,a)]. 3097 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(2931,a,3051,a)]. 3098 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(2267,a,3051,a)]. 3099 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(3051(a,1),35(a,2,2)),flip(a)]. 3100 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(3051(a,1),484(a,1,1))]. 3101 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(3051(a,1),424(a,1,1))]. 3103 ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. [para(3051(a,1),2876(a,1,1))]. 3104 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(80,a,19,a(flip),b,3058,a),flip(a)]. 3105 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [para(2916(a,1),3058(a,1,2)),flip(a)]. 3106 x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. [para(2924(a,1),3058(a,1,2)),flip(a)]. 3107 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(2930,a,3063,a)]. 3108 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(263(a,1),3063(a,1,2))]. 3109 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(255,a,273,a(flip),b,3067,a(flip)),flip(a)]. 3110 (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). [para(3067(a,1),598(a,1,1))]. 3111 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x. [para(3068(a,1),2266(a,1)),flip(a),flip(b)]. 3112 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(22,a,2987,a,b,3069,a),flip(a)]. 3113 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [hyper(255,a,2599,a(flip),b,3069,a(flip)),flip(a)]. 3116 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(255,a,2972,a,b,3112,a(flip)),flip(a)]. 3120 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(80,a,3116,a(flip),b,1448,a(flip))]. 3123 (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). [para(3116(a,1),2910(a,1,2))]. 3124 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(3116(a,1),3000(a,1,2))]. 3125 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1460,a,3120,a)]. 3126 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(255,a,2246,a(flip),b,3120,a(flip)),flip(a)]. 3127 (1 / T(x,y)) * x = T(x,y) \ x. [para(3126(a,1),21(a,1,1))]. 3128 x / T(x,y) = T(x,y) \ x. [hyper(1350,a,3127,a)]. 3129 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(172,a,3127,a,b,1083,a)]. 3132 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(255,a,2020,a,b,3128,a(flip)),flip(a)]. 3133 (T(x,y) \ x) * T(x,y) = x. [para(3128(a,1),21(a,1,1))]. 3134 (T(x,y) \ x) \ x = T(x,y). [para(3128(a,1),73(a,1,1))]. 3135 L(x,T(x,y) \ x,x) = x. [hyper(255,a,2452,a,b,3133,a(flip)),flip(a)]. 3137 (x * y) * T(K(y,x),x) = y * x. [para(3135(a,1),2451(a,1,2)),flip(a)]. 3138 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(255,a,2291,a,b,3129,a(flip)),flip(a)]. 3139 T(K(x,y),y) = K(x,y). [hyper(265,a,3137,a),flip(a)]. 3140 T(x,K(y,x)) = x. [hyper(40,a,3139,a)]. 3141 K(x,y) * y = y * K(x,y). [para(3139(a,1),127(a,1,2)),flip(a)]. 3142 (x * K(y,x)) / x = K(y,x). [para(3139(a,1),167(a,1,1,2))]. 3143 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(3139(a,1),183(a,1,2,1)),flip(a)]. 3144 T(T(x,y),K(z,x)) = T(x,y). [para(3140(a,1),43(a,1,1)),flip(a)]. 3145 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(3140(a,1),183(a,1,2,1)),flip(a)]. 3146 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(3140(a,1),184(a,1,2,1)),flip(a)]. 3147 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(3140(a,1),361(a,1,2,1))]. 3148 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(3140(a,1),395(a,1,2,1,1)),flip(a)]. 3149 R(T(x,y),z,u) * K(w,x) = K(w,x) * R(T(x,y),z,u). [para(3140(a,1),576(a,1,2,1,1)),flip(a)]. 3150 T(x,y * T(y \ 1,x)) = x. [para(1200(a,1),3140(a,1,2))]. 3151 T(x,y \ T(y,x)) = x. [para(1204(a,1),3140(a,1,2))]. 3152 T(x,x \ ((y * x) / y)) = x. [para(1575(a,1),3140(a,1,2))]. 3153 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(3140(a,1),2645(a,1,1,1)),flip(a)]. 3154 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(3151(a,1),127(a,1,2))]. 3155 (x \ T(x,y)) * T(y,z) != u | T(y,z) * (x \ T(x,y)) = u. [para(3151(a,1),361(a,1,2,1))]. 3156 (x * K(y,x)) * L(z,x,K(y,x)) = K(y,x) * (x * z). [para(3141(a,1),112(a,1,1))]. 3157 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(3141(a,1),122(a,1,2))]. 3159 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(3141(a,1),454(a,2,2))]. 3160 ((x * K(y,z)) * z) / (z * K(y,z)) != u | R(x,K(y,z),z) = u. [para(3141(a,1),466(a,1,2))]. 3161 L(K(x,y),y,1 / y) = K(x,y). [hyper(255,a,2577,a,b,3142,a(flip)),flip(a)]. 3162 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(255,a,1376,a,b,3142,a(flip)),flip(a)]. 3163 R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). [para(3142(a,1),450(a,1,1,1))]. 3164 T(K(x,y),T(y,z)) = K(x,y). [hyper(40,a,3144,a)]. 3165 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(3144(a,1),361(a,1,2,1))]. 3166 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(40,a,3150,a)]. 3167 ((x * y) / x) / y = y \ ((x * y) / x). [para(3152(a,1),199(a,1,2))]. 3168 K(K(x,y),T(y,z)) = 1. [hyper(41,a,3164,a)]. 3169 K(x \ T(x,y),T(y,z)) = 1. [para(1204(a,1),3168(a,1,1))]. 3170 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(42,a,3169,a)]. 3171 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(366,a,3161,a)]. 3172 (1 / x) \ K(y,x) = x * K(y,x). [hyper(80,a,3161,a(flip),b,192,a)]. 3174 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(80,a,3171,a(flip),b,140,a(flip)),flip(a)]. 3175 K(x \ 1,x) * K(y,x) = (x \ 1) * (x * K(y,x)). [para(3171(a,1),3051(a,1,2))]. 3177 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [para(3138(a,1),21(a,1,1))]. 3178 x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x). [para(3154(a,1),1101(a,1,2,2))]. 3179 x * (((y * x) / y) / x) = (y * x) / y. [para(3167(a,2),19(a,1,2))]. 3180 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(787(a,1),3167(a,1,1)),flip(a)]. 3181 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(315,a,3177,a)]. 3182 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [para(3177(a,1),687(a,1,2))]. 3184 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1624(a,1),3179(a,1,2))]. 3186 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [hyper(255,a,2803,a,b,3181,a(flip)),flip(a)]. 3187 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(255,a,3003,a(flip),b,3181,a(flip))]. 3188 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3181(a,1),2234(a,1,2))]. 3189 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(3181(a,1),2915(a,1,1))]. 3190 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3181(a,1),2963(a,2,2))]. 3191 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(3181(a,1),3001(a,1,1))]. 3192 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [para(564(a,1),3070(a,2,1))]. 3193 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [para(18(a,1),3077(a,1,1)),flip(a)]. 3194 (x \ y) * K(x \ 1,(x \ 1) \ 1) = ((x \ 1) \ 1) \ y. [para(1451(a,2),3077(a,1,2))]. 3195 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(255,a,956,a(flip),b,3078,a(flip)),flip(a)]. 3196 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(3078(a,1),2267(a,1))]. 3197 K(x \ 1,x) * (T(x,y) \ z) = ((T(x,y) \ 1) \ 1) \ z. [para(3181(a,1),3078(a,1,1))]. 3198 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) \ x = z. [para(3082(a,1),24(a,1))]. 3199 L(x,((y \ 1) \ 1) \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(383(a,1),3082(a,1,2)),flip(a)]. 3200 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1524(a,1),3083(a,1,2,1))]. 3201 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [para(3050(a,1),3083(a,1,2)),flip(a)]. 3202 T((x \ 1) * y,K(z \ 1,z)) = (1 / x) * (y * K(x \ 1,x)). [hyper(255,a,2256,a,b,3084,a),flip(a)]. 3203 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(2015,a,3088,a),flip(a)]. 3204 L(K(x,x \ 1) * y,x \ 1,x) = x * ((1 / x) * y). [para(3088(a,1),190(a,1,2)),flip(a)]. 3205 ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). [hyper(255,a,3172,a(flip),b,3092,a)]. 3206 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(255,a,2263,a(flip),b,3094,a)]. 3207 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1334(a,1),3094(a,1,2)),flip(a)]. 3208 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(1828,a,3096,a)]. 3209 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(3096(a,1),143(a,1,1,2))]. 3210 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3096(a,1),431(a,1,2,2))]. 3211 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1016,a,3208,a)]. 3212 L(x,T(y,y \ z) \ 1,T(y,y \ z)) = L(x,1 / T(y,y \ z),(y \ z) \ z). [hyper(255,a,1978,a(flip),b,3211,a(flip))]. 3213 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(70(a,1),3211(a,1,2)),flip(a)]. 3214 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,1 / T(y,y \ z),(y \ z) \ z). [para(601(a,2),3211(a,1,2)),flip(a)]. 3215 ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). [hyper(81,a,3097,a(flip),b,2942,a)]. 3216 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [hyper(2921,a,3104,a)]. 3217 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(3104(a,1),2906(a,1,1))]. 3218 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(1409,a,3105,a),flip(a)]. 3219 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(3181(a,1),3105(a,1,2,1))]. 3220 (1 / (1 / x)) * (y / (1 / (1 / x))) = x * (y / x). [para(2927(a,1),3106(a,1,2)),flip(a)]. 3221 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2789(a,1),3107(a,1,2))]. 3222 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(3107(a,1),2831(a,1,1))]. 3223 T(x,L(K(y,x),z,u)) = x. [hyper(173,a,3143,a)]. 3225 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(3146(a,1),24(a,1)),flip(a)]. 3227 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(3166(a,1),1413(a,1,2)),flip(a)]. 3228 (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). [hyper(2770,a,3174,a)]. 3229 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(3182(a,2),1083(a,1,2))]. 3232 x * (T(x,y) / x) = T(x,y). [hyper(23,a,2023,a,b,3188,a),flip(a)]. 3234 T(x,y) / x = x \ T(x,y). [hyper(87,a,3232,a),flip(a)]. 3236 (x \ T(x,y)) * x = T(x,y). [para(3232(a,1),75(a,1,1,2))]. 3237 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(1862,a,3234,a),flip(a)]. 3238 (1 / x) * T(x,y) = x \ T(x,y). [hyper(1371,a,3234,a)]. 3239 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(943,a,3234,a)]. 3240 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(874,a,3234,a),flip(a)]. 3241 (x \ T(x,y)) * x != z | T(x,y) = z. [para(3234(a,1),226(a,1,1)),flip(b)]. 3242 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(3234(a,1),123(a,1,1))]. 3243 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(3234(a,1),474(a,1,1))]. 3246 (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. [para(3234(a,1),2204(a,1,1))]. 3247 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3234(a,1),2586(a,1,1,2))]. 3248 T(x,x \ T(x,y)) = x. [hyper(286,a,3236,a)]. 3249 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(255,a,1597,a,b,3236,a(flip)),flip(a)]. 3250 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3236(a,1),33(a,2,1)),flip(a)]. 3251 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(128(a,1),3236(a,1,1,2))]. 3252 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(3236(a,1),112(a,1,1))]. 3253 R(x,y \ T(y,z),y) * T(y,z) = (x * (y \ T(y,z))) * y. [para(3236(a,1),122(a,1,2))]. 3254 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(3236(a,1),466(a,1,1,1))]. 3255 T(x,y) = K(y \ (y / (x \ 1)),y) * x. [para(1204(a,2),3236(a,1,1)),flip(a)]. 3256 L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). [para(3236(a,1),864(a,1,1)),flip(a)]. 3257 K(x,x \ T(x,y)) = 1. [hyper(41,a,3248,a)]. 3258 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1204(a,2),3248(a,1,2))]. 3259 K(x,T(x,y) / x) = 1. [para(3234(a,2),3257(a,1,2))]. 3260 T(1 / x,T(x,y)) = x \ 1. [hyper(80,a,3259,a(flip),b,1135,a),flip(a)]. 3261 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(255,a,73,a(flip),b,3260,a)]. 3262 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(255,a,1863,a(flip),b,3260,a(flip)),flip(a)]. 3263 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3260(a,1),185(a,1,1)),flip(a)]. 3264 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3260(a,1),352(a,2,1))]. 3265 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3260(a,1),1206(a,1,1)),flip(a)]. 3266 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(255,a,1289,a(flip),b,3258,a(flip)),flip(a)]. 3267 T(x,T(1 / x,y)) = T(x,x \ 1). [para(3261(a,1),1440(a,1,1)),flip(a)]. 3271 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3267(a,1),1898(a,1,1))]. 3273 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,K(x \ (x / (y \ 1)),x) * y). [para(3255(a,2),566(a,1,2,2))]. 3275 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(3266(a,1),19(a,1,2))]. 3276 x / ((y * x) / y) = ((y * x) / y) \ x. [para(3266(a,1),70(a,1,2))]. 3277 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1159(a,1),3266(a,1,1,1,1))]. 3279 (((x * y) / x) \ y) / y = 1 / ((x * y) / x). [hyper(81,a,3276,a(flip),b,1628,a)]. 3280 T(x,x / (y * x)) = T(x,x / (x * y)). [para(163(a,1),3249(a,1,2))]. 3283 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(167(a,1),3262(a,1,3,2))]. 3284 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2396(a,1),3195(a,1,2))]. 3285 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(447,a,3213,a),flip(a)]. 3286 K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). [para(2746(a,1),3216(a,1,2))]. 3287 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(255,a,2915,a(flip),b,3218,a)]. 3289 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3240(a,1),666(a,2,1)),flip(a)]. 3290 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(3240(a,1),2709(a,1,1))]. 3292 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3263(a,1),3265(a,1,2)),flip(a)]. 3293 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(255,a,289,a(flip),b,3292,a)]. 3296 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3293(a,1),1015(a,1,1,2))]. 3297 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(3056(a,1),3275(a,1,1,1,1))]. 3298 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3237(a,1),2708(a,1,2)),flip(a)]. 3299 T(x,y \ ((x * y) / x)) = x. [para(3237(a,1),3248(a,1,2))]. 3300 T(x,T(y,x) \ y) = x. [para(167(a,1),3299(a,1,2,2))]. 3301 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(3300(a,1),127(a,1,2))]. 3303 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(255,a,1861,a,b,3301,a(flip)),flip(a)]. 3304 x \ ((x * (T(y,x) \ y)) \ x) = ((T(y,x) \ y) * x) \ 1. [para(3301(a,1),2002(a,1,2,1))]. 3305 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3301(a,1),2162(a,1,1,2,1))]. 3306 L(x,x \ T(x,y),x) = x. [hyper(255,a,70,a(flip),b,3256,a)]. 3308 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(3193(a,1),3285(a,1,1))]. 3309 K(1 / x,y) = K(x \ 1,y). [hyper(255,a,2850,a(flip),b,3289,a(flip)),flip(a)]. 3310 K(1 / (1 / x),y) = K(x,y). [hyper(255,a,616,a(flip),b,3309,a)]. 3311 K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [hyper(255,a,1002,a(flip),b,3309,a(flip))]. 3312 K((x \ 1) \ 1,y) = K(x,y). [para(70(a,1),3309(a,1,1)),flip(a)]. 3314 K(T(1 / x,y) \ 1,z) = K(T(x \ 1,y) \ 1,z). [para(2226(a,1),3309(a,1,1))]. 3315 T(K(x,y),x) = K(x,y). [para(3310(a,1),2976(a,1,1))]. 3316 T(x,K(x,y)) = x. [hyper(40,a,3315,a)]. 3317 K(T(x,x \ 1),y) = K(x,y). [hyper(255,a,2981,a,b,3315,a(flip)),flip(a)]. 3318 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(255,a,2677,a,b,3315,a(flip)),flip(a)]. 3319 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3315(a,1),184(a,1,2,1)),flip(a)]. 3321 T(T(x,y),K(x,z)) = T(x,y). [para(3316(a,1),43(a,1,1)),flip(a)]. 3322 K(x,y) * x != z | x * K(x,y) = z. [para(3316(a,1),225(a,1,2))]. 3323 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3316(a,1),182(a,1,2,1)),flip(a)]. 3324 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3316(a,1),183(a,1,2,1)),flip(a)]. 3325 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3316(a,1),184(a,1,2,1)),flip(a)]. 3326 T((x * y) / x,K(y,z)) = (x * y) / x. [para(3316(a,1),404(a,1,1,2)),flip(a)]. 3327 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(3316(a,1),362(a,1,2,1))]. 3330 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(2969(a,1),3312(a,1,1)),flip(a)]. 3332 T(K(x,y),T(x,z)) = K(x,y). [hyper(40,a,3321,a)]. 3335 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3332(a,1),225(a,1,2))]. 3336 T(K(x,y),(z * x) / z) = K(x,y). [hyper(40,a,3326,a)]. 3337 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(747,a,3319,a),flip(a)]. 3338 T(x,R(K(x,y),z,u)) = x. [hyper(173,a,3319,a)]. 3339 K(x,R(K(x,y),z,u)) = 1. [hyper(41,a,3338,a)]. 3340 R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). [para(3338(a,1),183(a,1,2,1))]. 3341 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(173,a,3325,a)]. 3342 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(255,a,3187,a(flip),b,3024,a(flip))]. 3343 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(255,a,3186,a(flip),b,3342,a)]. 3344 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(3342(a,2),2791(a,1,2))]. 3345 T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). [hyper(255,a,2256,a,b,3086,a),flip(a)]. 3347 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [hyper(81,a,2572,a(flip),b,3103,a(flip)),flip(a)]. 3348 T(x \ 1,T(x,y) \ x) = x \ 1. [para(3132(a,1),2341(a,1,2))]. 3349 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3132(a,1),2817(a,1,1,2)),flip(a)]. 3350 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(40,a,3348,a)]. 3351 (T(x,y) \ x) * (x \ 1) = (x \ 1) * (T(x,y) \ x). [para(3348(a,1),127(a,1,2))]. 3352 (K(x,y) \ y) * K(x,y) = y. [hyper(22,a,104,a(flip),b,3153,a)]. 3353 x / K(y,x) = K(y,x) \ x. [hyper(96,a,3352,a)]. 3355 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(23,a,2891,a,b,3222,a)]. 3356 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(263(a,1),3222(a,1,1)),flip(a)]. 3357 L(x,y,z) * (T(x,u) * T(T(x,u) \ 1,L(x,y,z))) = T(x,u) * ((T(x,u) \ 1) * L(x,y,z)). [para(2681(a,1),3227(a,1,2,1)),flip(a)]. 3358 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(2630,a,3229,a)]. 3359 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(255,a,273,a(flip),b,3271,a(flip)),flip(a)]. 3360 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(22,a,3031,a,b,3271,a(flip)),flip(a)]. 3361 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3271(a,1),599(a,1,1))]. 3363 (x \ y) * K(x \ 1,x) = y * (((y \ (x \ y)) \ 1) \ 1). [hyper(255,a,3077,a,b,3284,a),flip(a)]. 3364 (((x \ 1) \ 1) \ y) / y = (((x \ y) / y) \ 1) \ 1. [hyper(81,a,3284,a(flip),b,2238,a)]. 3365 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(73(a,1),3284(a,1,2,1,1,2)),flip(a)]. 3366 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(149(a,1),3284(a,1,2,1,1,2))]. 3367 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(37(a,2),3287(a,1,2))]. 3368 T(x,1 / (1 / y)) = T(x,y). [hyper(358,a,3367,a),flip(a)]. 3370 T(x,1 / y) = T(x,y \ 1). [para(70(a,1),3368(a,1,2,2))]. 3371 T(x,(y \ 1) \ 1) = T(x,y). [para(145(a,1),3368(a,1,2)),flip(a)]. 3373 T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). [hyper(255,a,715,a(flip),b,3370,a(flip))]. 3376 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). [para(3371(a,1),127(a,1,2))]. 3377 T(x,T(y,y \ 1)) = T(x,y). [para(128(a,2),3371(a,1,2))]. 3378 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(1248(a,2),3371(a,1,2))]. 3385 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(3377(a,1),127(a,1,2))]. 3386 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [para(3377(a,1),595(a,1,2))]. 3388 (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(3386(a,2),499(a,2,1))]. 3389 T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(3203(a,1),3373(a,1,1,1))]. 3390 T(x \ 1,y) \ (x \ 1) = x \ (T(1 / x,y) \ 1). [hyper(255,a,2717,a(flip),b,3290,a(flip))]. 3391 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1062(a,2),3290(a,1,1)),flip(a)]. 3392 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1555(a,1),3290(a,1,1)),flip(a)]. 3393 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(3343(a,1),1456(a,1,1))]. 3394 (T(x,y) \ x) * (x \ 1) = T(x,y) \ 1. [hyper(255,a,2704,a(flip),b,3351,a)]. 3395 T(1 / (1 / x),y / (y * x)) = x. [hyper(172,a,3355,a,b,xx)]. 3397 T(1 / (1 / x),(y / x) / y) = x. [para(21(a,1),3395(a,1,2,2))]. 3398 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(3397(a,1),168(a,1,2,2))]. 3399 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(3358(a,1),3084(a,1,2)),flip(a)]. 3400 ((((1 / x) \ y) / y) \ 1) \ 1 = ((x \ 1) \ y) / y. [para(73(a,1),3364(a,1,1,1,1)),flip(a)]. 3401 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(3365(a,1),70(a,1,2))]. 3402 (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. [para(2104(a,2),3398(a,1,2))]. 3403 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(18(a,1),3401(a,1,2,2,1,1))]. 3404 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2238(a,2),3401(a,1,2))]. 3405 T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). [hyper(255,a,2529,a,b,3403,a),flip(a)]. 3406 x / (x * T(y,y \ 1)) = T(x / (x * y),y). [para(128(a,2),3405(a,2,2,2)),flip(a)]. 3407 T(x / (x * y),y) \ x = x * T(y,y \ 1). [para(3406(a,1),73(a,1,1))]. 3408 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [para(20(a,1),3404(a,1,2,1,1,1))]. 3409 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [hyper(3111,a,3205,a)]. 3410 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(255,a,3113,a,b,3409,a(flip)),flip(a)]. 3412 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(255,a,2720,a(flip),b,3298,a)]. 3413 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(80,a,3412,a(flip),b,1083,a),flip(a)]. 3414 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(167(a,1),3412(a,2,1))]. 3415 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(3206(a,2),3308(a,1,1))]. 3416 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(3413(a,1),2241(a,1,2))]. 3417 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(167(a,1),3416(a,1,2,2,1))]. 3418 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(954(a,1),3417(a,1,2,2,2))]. 3419 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. [hyper(81,a,3414,a(flip),b,3127,a),flip(a)]. 3420 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3303(a,1),3414(a,1,1))]. 3421 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(3420(a,1),70(a,1,2))]. 3422 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(954(a,1),3421(a,1,2,2))]. 3423 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3060(a,2),2324(a,1,1))]. 3424 (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). [para(1111(a,1),3123(a,1,1))]. 3425 (R(T(x,y),z,u) * K(w,x)) * v5 = (K(w,x) * R(T(x,y),z,u)) * v5. [hyper(27,a,3149,a)]. 3427 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2230(a,1),3189(a,2,2))]. 3429 K(x \ 1,x) * (T(x,y) \ z) = T((x \ 1) \ 1,y) \ z. [para(2228(a,1),3197(a,2,1))]. 3430 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(2230(a,1),3219(a,2,1))]. 3431 x \ ((x * (T(y,x) \ y)) \ x) = (x * (T(y,x) \ y)) \ 1. [para(3301(a,1),3304(a,2,1))]. 3433 K(((x \ y) \ y) \ 1,(x \ y) \ y) = K(x \ 1,x). [hyper(22,a,2511,a,b,3363,a),flip(a)]. 3434 K(x \ 1,x) * (y * T((x \ z) \ z,u)) = y * (1 / (1 / T((x \ z) \ z,u))). [para(3433(a,1),3189(a,1,1))]. 3435 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(255,a,2917,a(flip),b,3393,a(flip)),flip(a)]. 3436 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(255,a,3408,a,b,3435,a)]. 3437 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(122(a,1),3435(a,2,1,1,2))]. 3438 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(3435(a,2),3371(a,1,2))]. 3439 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(255,a,160,a,b,3436,a),flip(a)]. 3440 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [para(3436(a,2),73(a,1,1))]. 3443 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(255,a,3280,a(flip),b,3438,a)]. 3444 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(163(a,2),3438(a,2,2)),flip(a)]. 3446 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(73(a,1),3440(a,1,1,1))]. 3447 (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). [hyper(255,a,1595,a,b,3444,a(flip)),flip(a)]. 3448 R(x,1 / x,y) \ y = (x \ 1) * y. [para(73(a,1),3446(a,2,1,1))]. 3449 R(x,1 / x,y) = y / ((x \ 1) * y). [para(3448(a,1),70(a,1,2)),flip(a)]. 3450 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(255,a,160,a,b,3449,a)]. 3451 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(3450(a,1),1496(a,1,1))]. 3452 x * ((x * (((x * y) * (x \ 1)) / (x * y))) * y) = T(x * y,R(x \ 1,x,x * y)). [hyper(255,a,2355,a(flip),b,3447,a(flip)),flip(a)]. 3453 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [para(3439(a,2),3447(a,2,2)),flip(a)]. 3454 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3399(a,1),2050(a,1,1)),flip(a)]. 3455 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(128(a,1),3427(a,1,2,2))]. 3456 (T(x,y) \ z) * K(x \ 1,x) = T((x \ 1) \ 1,y) \ z. [hyper(2267,a,3429,a)]. 3457 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(80,a,19,a(flip),b,3430,a),flip(a)]. 3458 (x * (T(y,x) \ y)) \ 1 = x \ (y \ T(y,x)). [para(3420(a,1),3431(a,1,2)),flip(a)]. 3459 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2931,a,3457,a)]. 3460 T(x,y) \ z != K(x \ 1,x) * u | T(1 / (1 / x),y) \ z = u. [para(3457(a,1),24(a,1))]. 3461 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3457(a,1),3109(a,1,2))]. 3462 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1451(a,1),3459(a,1,2))]. 3463 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(3228(a,2),19(a,1,2))]. 3464 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3250(a,1),1101(a,1,2)),flip(a)]. 3465 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(19(a,1),3464(a,1,1)),flip(a)]. 3466 L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u. [para(3464(a,2),24(a,1))]. 3467 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(255,a,2324,a,b,3252,a(flip)),flip(a)]. 3468 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. [para(3303(a,1),3419(a,1,2))]. 3469 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. [para(3240(a,1),3468(a,2,1))]. 3470 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(255,a,1496,a(flip),b,3451,a(flip))]. 3471 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(255,a,350,a(flip),b,3470,a(flip))]. 3472 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). [para(3463(a,1),1382(a,1,1)),flip(a)]. 3473 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(3471(a,2),107(a,1,2,2))]. 3474 T((x \ 1) * y,K(z \ 1,z)) = y * ((x \ 1) * (x * T(x \ 1,y))). [hyper(255,a,3015,a,b,3202,a)]. 3475 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2507(a,1),3221(a,1,2))]. 3476 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3234(a,1),3247(a,2,2,1,2))]. 3477 K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). [para(2979(a,1),3286(a,1,2))]. 3478 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(255,a,3301,a(flip),b,3305,a)]. 3479 K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). [para(3370(a,1),3311(a,2,1,1))]. 3480 T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). [hyper(23,a,3028,a,b,3424,a)]. 3481 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(255,a,381,a(flip),b,3480,a(flip)),flip(a)]. 3483 (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). [hyper(255,a,3051,a(flip),b,3477,a(flip)),flip(a)]. 3484 (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). [para(3483(a,1),1928(a,1,1))]. 3485 (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(107(a,2),3484(a,1,1,2))]. 3486 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3420(a,1),3478(a,1,1,2))]. 3487 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(22,a,3476,a(flip),b,3486,a(flip)),flip(a)]. 3488 (x * (y \ T(y,x))) * (T(y,x) \ y) = x. [para(3487(a,1),19(a,1,2))]. 3489 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). [para(3163(a,2),957(a,1,1,2))]. 3490 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(396(a,1),3243(a,2,1))]. 3491 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2948(a,1),3389(a,1,1))]. 3493 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(1912(a,1),3453(a,2,1))]. 3494 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(3127(a,1),3454(a,1,1)),flip(a)]. 3498 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. [para(3493(a,2),3322(a,1))]. 3499 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(3116(a,1),3124(a,1,2))]. 3502 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(3499(a,1),3192(a,1,2))]. 3503 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(73(a,1),3191(a,2,2))]. 3506 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(3503(a,1),3109(a,1,2))]. 3507 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3391(a,1),3283(a,1,3))]. 3508 T(x,K(y,x) \ 1) = x. [para(3391(a,1),3300(a,1,2))]. 3509 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3508(a,1),127(a,1,2))]. 3510 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3509(a,1),162(a,2,1)),flip(a)]. 3511 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(255,a,3507,a(flip),b,3510,a)]. 3513 (K(x,y) * R(T(y,z),u,w)) * v5 != R(T(y,z),u,w) * K(x,y) | 1 = v5. [para(3425(a,1),84(a,1))]. 3514 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(70(a,1),3462(a,2,1,1,2))]. 3515 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2939,a,3514,a)]. 3516 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(18(a,1),3515(a,1,2)),flip(a)]. 3517 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [para(3516(a,1),19(a,1,2))]. 3518 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2014(a,2),3517(a,1,2))]. 3519 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(3090(a,1),3517(a,1,2)),flip(a)]. 3520 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3519(a,1),1078(a,1,2))]. 3521 x \ T((y \ 1) * (x / (y \ 1)),K(z \ 1,z)) = K(1 / y,x / (y \ 1)). [para(3474(a,2),2851(a,1,2))]. 3522 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1451(a,1),3475(a,1,2))]. 3523 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2610(a,1),3100(a,1,2))]. 3524 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3523(a,1),1647(a,2,2,1,2)),flip(a)]. 3527 T(x,x \ K(y,x)) = T(x,x \ 1). [para(3318(a,1),3418(a,1,2,2))]. 3528 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(3527(a,1),199(a,1,2))]. 3529 K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. [para(3528(a,1),2868(a,1,1)),flip(a)]. 3530 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(3528(a,1),2909(a,1,1))]. 3531 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(3530(a,1),2597(a,1,2)),flip(a)]. 3532 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(3531(a,1),3410(a,1,2))]. 3533 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(80,a,3532,a(flip),b,1079,a),flip(a)]. 3534 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(1081(a,1),3533(a,1,2))]. 3535 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(73(a,1),3502(a,1,2,1,1,1))]. 3536 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(22,a,3047,a,b,3535,a),flip(a)]. 3537 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(81,a,3520,a(flip),b,3535,a(flip))]. 3538 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3536(a,1),3109(a,1,2))]. 3539 x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). [para(3345(a,1),3521(a,1,2))]. 3540 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(3437(a,1),470(a,1,1))]. 3541 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(255,a,385,a,b,3356,a),flip(a)]. 3542 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * (1 / (T(x,z) \ 1)). [para(2225(a,1),3434(a,2,2,2))]. 3543 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [para(70(a,1),3542(a,2,2))]. 3545 (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(3539(a,1),3485(a,1,1,2))]. 3546 K(x \ 1,y / (1 / x)) = K(x \ 1,y / (x \ 1)). [hyper(255,a,3484,a(flip),b,3545,a(flip))]. 3547 K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). [para(20(a,1),3546(a,1,2)),flip(a)]. 3548 K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). [para(1369(a,1),3547(a,1,2))]. 3549 K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). [para(2942(a,1),3548(a,1,2))]. 3550 K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). [para(3069(a,1),3549(a,1,2))]. 3551 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(3200(a,1),3518(a,1,2))]. 3552 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(128(a,2),3551(a,1,2,1))]. 3553 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2841(a,1),3522(a,2,1))]. 3554 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3553(a,1),2893(a,1,1))]. 3555 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(255,a,3494,a(flip),b,3349,a)]. 3556 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(3132(a,1),3555(a,1,1))]. 3557 T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). [para(1970(a,1),3452(a,1,2)),flip(a)]. 3558 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(924(a,1),3554(a,2,1,2))]. 3559 K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). [para(2876(a,1),3110(a,1,2)),flip(a)]. 3560 K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x). [hyper(255,a,31,a,b,3559,a)]. 3561 K(K(x,x \ 1) * y,x) = K(y,(x \ 1) \ 1). [para(2918(a,1),3560(a,1,1)),flip(a)]. 3562 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x). [para(3078(a,1),3560(a,1,1))]. 3563 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(787(a,1),3180(a,1,2)),flip(a)]. 3564 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(255,a,1993,a(flip),b,3563,a(flip))]. 3565 L(x,y \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(3213(a,1),3199(a,1,1))]. 3566 L(x,y \ 1,y) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(3055(a,1),3565(a,1,1))]. 3567 ((x \ 1) \ 1) \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. [hyper(3198,a,3566,a)]. 3569 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3465(a,1),3467(a,1,1))]. 3570 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(255,a,186,a(flip),b,3569,a(flip)),flip(a)]. 3571 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(18(a,1),3570(a,1,1)),flip(a)]. 3572 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(80,a,3306,a(flip),b,3571,a)]. 3573 (x \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x). [para(1100(a,1),3571(a,1,2))]. 3574 L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). [para(3125(a,1),3571(a,1,2)),flip(a)]. 3575 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1923(a,1),3572(a,1,1,2)),flip(a)]. 3576 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3237(a,1),3572(a,1,1)),flip(a)]. 3577 T(x,T(y,x)) * (y \ T(y,x)) = L(x,y \ T(y,x),y). [hyper(3155,a,3573,a)]. 3578 L(1 / x,x \ T(x,y),x) = 1 / x. [hyper(255,a,3246,a(flip),b,3574,a)]. 3580 x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). [para(3578(a,1),565(a,2,1))]. 3581 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3412(a,1),3576(a,1,2)),flip(a)]. 3582 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(167(a,1),3581(a,1,1,2)),flip(a)]. 3583 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(167(a,1),3582(a,1,2,1)),flip(a)]. 3584 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(3583(a,1),19(a,1,2))]. 3585 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(18(a,1),3575(a,2,1))]. 3587 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2722(a,1),3585(a,1,2))]. 3588 x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). [para(19(a,1),3580(a,1,2,2,2))]. 3590 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). [para(3260(a,1),3588(a,1,2,2)),flip(a)]. 3591 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). [para(1240(a,1),3590(a,2,2))]. 3593 (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). [hyper(255,a,190,a(flip),b,3591,a)]. 3594 L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). [hyper(310,a,3593,a),flip(a)]. 3596 L(x \ T(x,y),x \ 1,x) = x \ T(x,y). [hyper(255,a,3238,a(flip),b,3594,a)]. 3597 L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). [para(1923(a,1),3596(a,1,1,2))]. 3598 x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). [para(18(a,1),3597(a,1,1)),flip(a)]. 3600 L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). [para(1923(a,1),3598(a,1,2)),flip(a)]. 3601 L(K(x,y),x \ 1,x) = K(x,y). [hyper(255,a,18,a(flip),b,3600,a)]. 3604 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(80,a,3601,a(flip),b,190,a),flip(a)]. 3605 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(1286,a,3604,a)]. 3606 K(x,y) \ (x \ K(x,y)) = x \ 1. [hyper(80,a,3604,a(flip),b,1285,a)]. 3608 K(x,y) \ (x \ K(x,y)) != z | x \ 1 = z. [para(3605(a,1),222(a,1,2)),flip(b)]. 3609 K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z. [para(3605(a,1),416(a,1,2))]. 3610 K(x,y) * ((x \ 1) * z) != (x \ K(x,y)) * u | L(z,x \ 1,K(x,y)) = u. [para(3605(a,1),422(a,1,1)),flip(a)]. 3611 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(255,a,1930,a(flip),b,3472,a)]. 3612 T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(255,a,3280,a,b,3611,a(flip)),flip(a)]. 3613 R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(255,a,47,a,b,3612,a(flip)),flip(a)]. 3614 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(2382(a,1),3613(a,1,1)),flip(a)]. 3615 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(80,a,1069,a,b,3614,a)]. 3617 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(255,a,1277,a(flip),b,3615,a(flip)),flip(a)]. 3618 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(3615(a,1),2724(a,1,1)),flip(a)]. 3619 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(255,a,3463,a,b,3617,a),flip(a)]. 3620 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(2005(a,2),3619(a,1,2))]. 3621 K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. [para(3618(a,1),2685(a,1))]. 3622 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1159(a,1),3277(a,2,1))]. 3623 L(x,y,z) * (T(x,u) * T(T(x,u) \ 1,L(x,y,z))) = L(L(x,y,z),T(x,u) \ 1,T(x,u)). [hyper(255,a,190,a(flip),b,3357,a)]. 3624 L(L(x,y,z),T(x,u) \ 1,T(x,u)) = L(x,y,z) * T(x * T(x \ 1,L(x,y,z)),u). [para(1649(a,1),3623(a,1,2)),flip(a)]. 3625 L(x,y,z) * T(x * T(x \ 1,L(x,y,z)),u) = L(1 / (1 / x),y,z). [hyper(255,a,2301,a(flip),b,3624,a(flip))]. 3627 L(x,y,z) * K(x \ 1,L(x,y,z)) = L(1 / (1 / x),y,z). [para(1224(a,1),3625(a,1,2))]. 3629 x * T(x \ 1,L(x,y,z)) = K(x \ 1,L(x,y,z)). [hyper(22,a,2997,a,b,3627,a),flip(a)]. 3630 L(K(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u. [para(3629(a,1),2659(a,1,1))]. 3631 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3538(a,1),3361(a,1,2))]. 3632 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3631(a,1),431(a,1))]. 3633 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2311,a,3540,a)]. 3634 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(3075(a,1),3076(a,2,2,1,1))]. 3635 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(255,a,3239,a(flip),b,3634,a)]. 3637 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3239(a,1),3635(a,1,1))]. 3638 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3637(a,1),3296(a,1,1))]. 3639 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3293(a,1),3638(a,2,1))]. 3641 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3639(a,1),19(a,1,2))]. 3643 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(255,a,2281,a(flip),b,3641,a(flip)),flip(a)]. 3644 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(3051(a,1),3101(a,1,2)),flip(a)]. 3645 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3644(a,2),431(a,1))]. 3646 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(20(a,1),3297(a,1,1,1))]. 3648 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3646(a,1),25(a,1)),flip(a)]. 3649 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1727(a,1),2170(a,2,1))]. 3650 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(255,a,1158,a(flip),b,3649,a)]. 3652 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1158(a,1),3650(a,1,1))]. 3653 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(40,a,3652,a)]. 3654 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * K(x,(x / (y \ 1)) / x)) / ((x * y) / x). [para(2535(a,1),2642(a,2,1,2))]. 3655 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = ((x * y) / x) / ((x * y) / x). [para(1918(a,1),3654(a,2,1))]. 3656 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = 1. [hyper(255,a,67,a(flip),b,3655,a)]. 3657 K(((x * y) / x) \ y,y \ ((x * y) / x)) = 1. [hyper(2641,a,3656,a)]. 3659 1 / (((x * y) / x) \ y) = (((x * y) / x) \ y) \ 1. [hyper(80,a,3657,a(flip),b,2516,a),flip(a)]. 3660 ((((x * y) / x) \ y) \ 1) \ 1 = ((x * y) / x) \ y. [para(3659(a,1),73(a,1,1))]. 3661 (x \ ((y * x) / y)) \ 1 = ((y * x) / y) \ x. [para(2719(a,1),3660(a,1,1))]. 3662 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (y \ (y * (x * T(x \ 1,y)))) \ 1. [para(2144(a,1),3661(a,1,1,2)),flip(a)]. 3663 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (x * T(x \ 1,y)) \ 1. [para(18(a,1),3662(a,2,1))]. 3664 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = x \ (T(1 / x,y) \ 1). [hyper(255,a,2717,a(flip),b,3663,a)]. 3666 (x * (y * T(y \ 1,x))) \ x = y \ (T(1 / y,x) \ 1). [para(2144(a,1),3664(a,1,1))]. 3667 K(x \ (y \ (T(1 / y,x) \ 1)),x) = K(x \ 1,x). [para(3664(a,1),3005(a,1,1,2))]. 3668 K(x \ ((y \ 1) \ (T(y,x) \ 1)),x) = K(x \ 1,x). [para(70(a,1),3667(a,1,1,2,2,1,1))]. 3669 K(x \ (T(y,x) \ y),x) = K(x \ 1,x). [para(2705(a,1),3668(a,1,1,2))]. 3670 (x * (y * T(y \ 1,x))) \ 1 = x \ (y \ (T(1 / y,x) \ 1)). [para(3666(a,1),2565(a,1,2)),flip(a)]. 3671 x \ (((x * y) \ x) \ (T(1 / ((x * y) \ x),x) \ 1)) = (x * K(y,x)) \ 1. [para(953(a,2),3670(a,1,1,2)),flip(a)]. 3672 x \ (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = (x * K(y,x)) \ 1. [para(2718(a,1),3671(a,1,2))]. 3673 x \ (((x * y) \ (x * T(y,x))) \ 1) = (x * K(y,x)) \ 1. [para(18(a,1),3672(a,1,2,1,2,2,1))]. 3674 x \ (((x * y) \ (y * x)) \ 1) = (x * K(y,x)) \ 1. [para(127(a,1),3673(a,1,2,1,2))]. 3675 (x * K(y,x)) \ 1 = x \ (K(y,x) \ 1). [para(31(a,2),3674(a,1,2,1)),flip(a)]. 3676 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3318(a,1),3422(a,1,2)),flip(a)]. 3677 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(255,a,3353,a(flip),b,3676,a)]. 3678 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(3392(a,1),3676(a,1,2))]. 3679 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(18(a,1),3678(a,1,2,1,2,2,1))]. 3680 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(127(a,1),3679(a,1,2,1,2))]. 3681 x * (K(y,x) \ 1) = x / K(y,x). [para(31(a,2),3680(a,1,2,1))]. 3682 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(255,a,3353,a(flip),b,3681,a)]. 3683 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(80,a,3353,a(flip),b,3681,a)]. 3684 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(80,a,3682,a(flip),b,3509,a)]. 3685 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3682(a,1),24(a,1))]. 3686 x * (T(L(y \ 1,y,x) \ 1,x) \ (L(y \ 1,y,x) \ 1)) = K(y,x) \ x. [para(3391(a,2),3682(a,1,2))]. 3687 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3682(a,1),3511(a,1,1))]. 3689 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3684(a,1),925(a,1,2,1))]. 3690 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3687(a,1),19(a,1,2))]. 3691 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3690(a,1),2879(a,1,1)),flip(a)]. 3692 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(255,a,274,a(flip),b,3689,a(flip))]. 3694 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(255,a,381,a(flip),b,3692,a(flip))]. 3695 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(255,a,3694,a(flip),b,3691,a)]. 3696 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3695(a,1),2731(a,1,2,2))]. 3697 x \ ((((x * y) \ x) \ 1) \ T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3677(a,1),3458(a,1,1)),flip(a)]. 3698 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(3677(a,1),3469(a,1,2)),flip(a)]. 3699 1 / (K(x,y) \ y) = K(x,y) / y. [para(953(a,2),3698(a,1,1)),flip(a)]. 3700 (K(x,y) / y) \ 1 = K(x,y) \ y. [para(3699(a,1),73(a,1,1))]. 3701 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(533,a,3696,a),flip(a)]. 3702 K(x,(y \ 1) \ 1) = K(x,y). [hyper(255,a,598,a(flip),b,3701,a),flip(a)]. 3705 K(K(x,x \ 1) * y,x) = K(y,x). [hyper(255,a,3561,a,b,3702,a(flip)),flip(a)]. 3706 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [hyper(255,a,3562,a(flip),b,3702,a(flip))]. 3707 K(x,1 / y) = K(x,y \ 1). [para(73(a,1),3702(a,1,2,1)),flip(a)]. 3708 K(x,1 / (1 / y)) = K(x,y). [para(150(a,1),3702(a,1,2)),flip(a)]. 3710 K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). [para(2229(a,1),3702(a,1,2)),flip(a)]. 3712 ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). [para(3702(a,1),3174(a,2,2))]. 3713 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(3400(a,1),3702(a,1,2)),flip(a)]. 3718 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(3707(a,1),2573(a,2,1))]. 3722 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2592(a,2),3705(a,1,1))]. 3723 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(3201(a,1),3706(a,1,1))]. 3724 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(3096(a,1),3722(a,1,1,1))]. 3725 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(255,a,3473,a,b,3713,a(flip)),flip(a)]. 3726 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(255,a,963,a,b,3723,a(flip)),flip(a)]. 3727 x \ (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3240(a,1),3697(a,1,2))]. 3728 (K(x,y) \ y) \ 1 = y \ K(x,y). [para(953(a,2),3727(a,1,2)),flip(a)]. 3729 1 / (x \ K(y,x)) = K(y,x) \ x. [para(3728(a,1),70(a,1,2))]. 3730 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3415(a,1),3423(a,1,1))]. 3731 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3239(a,1),3524(a,2,1))]. 3732 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(112(a,1),1394(a,1,2,1,1))]. 3733 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1391,a,3732,a),flip(a)]. 3734 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(821(a,1),3733(a,2,2))]. 3735 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(422,a,3734,a),flip(a)]. 3736 L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [hyper(255,a,1155,a(flip),b,3735,a(flip))]. 3737 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1732(a,1),3736(a,1,1,2)),flip(a)]. 3738 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(255,a,2655,a(flip),b,3737,a)]. 3739 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(23,a,189,a(flip),b,3738,a)]. 3740 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(73(a,1),3739(a,1,1))]. 3741 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(1020(a,1),3740(a,1,2))]. 3742 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(3741(a,1),21(a,1,1))]. 3743 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2765,a,3742,a)]. 3744 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1868(a,1),3743(a,1,1)),flip(a)]. 3745 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(255,a,2413,a(flip),b,2416,a)]. 3746 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1242(a,1),3388(a,1,1))]. 3747 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1242(a,1),3746(a,1,2,3))]. 3748 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2983(a,1),3747(a,1,2)),flip(a)]. 3749 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(2302(a,1),3748(a,1,1)),flip(a)]. 3750 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(3386(a,1),3748(a,1,1))]. 3751 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(1242(a,1),3750(a,1,2))]. 3752 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(255,a,3378,a(flip),b,3751,a(flip))]. 3753 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(255,a,3491,a(flip),b,3752,a)]. 3754 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(255,a,2812,a(flip),b,3753,a)]. 3755 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(255,a,3754,a(flip),b,3749,a(flip)),flip(a)]. 3756 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(1242(a,1),3755(a,2,2))]. 3757 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(255,a,3378,a(flip),b,3756,a)]. 3758 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(255,a,3350,a(flip),b,3757,a)]. 3759 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(2705(a,1),3758(a,1,1))]. 3760 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(255,a,3556,a(flip),b,3759,a(flip)),flip(a)]. 3761 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(3760(a,1),841(a,1,1))]. 3762 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(255,a,443,a(flip),b,3761,a(flip))]. 3763 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(255,a,31,a,b,3762,a),flip(a)]. 3764 L(K(x,y),y \ 1,y) = K(x,y). [para(31(a,2),3763(a,2,1)),flip(a)]. 3765 (x \ 1) * K(y,x) = x \ K(y,x). [hyper(80,a,3764,a(flip),b,190,a),flip(a)]. 3766 ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(3765(a,1),35(a,2,2)),flip(a)]. 3767 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(73(a,1),3541(a,1,1,3))]. 3768 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2812(a,1),3767(a,1,1))]. 3769 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1242(a,1),2672(a,1,1,2,1))]. 3770 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1710(a,1),3769(a,1,1,2)),flip(a)]. 3772 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3385(a,1),3770(a,2,1))]. 3773 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(169(a,1),3772(a,2,1))]. 3774 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(255,a,328,a(flip),b,3773,a)]. 3777 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3774(a,1),263(a,1,2)),flip(a)]. 3778 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. [hyper(255,a,17,a(flip),b,3777,a)]. 3779 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(3778(a,1),304(a,1,1)),flip(b)]. 3780 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(112(a,1),1855(a,1,2,1,2,1))]. 3781 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(255,a,1331,a(flip),b,3780,a(flip))]. 3782 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1053(a,1),3781(a,2,2))]. 3783 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(422,a,3782,a),flip(a)]. 3784 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(19(a,1),3783(a,1,2,1)),flip(a)]. 3785 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(255,a,1448,a,b,3784,a)]. 3786 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1914(a,1),3785(a,1,1))]. 3787 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(122(a,1),1857(a,1,1,1,2,2)),flip(a)]. 3788 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(255,a,789,a(flip),b,3787,a)]. 3789 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(255,a,2409,a(flip),b,3788,a)]. 3790 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(789(a,1),3789(a,1,1))]. 3791 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1903(a,1),3790(a,2,1))]. 3792 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(23,a,122,a,b,3791,a)]. 3793 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1910,a,3792,a),flip(a)]. 3794 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(19(a,1),3792(a,1,2,1)),flip(a)]. 3795 R(K(x,(x / y) / x),z,u) = K(x,(x / R(y,z,u)) / x). [para(1909(a,2),3793(a,1,1))]. 3796 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(255,a,1448,a,b,3794,a)]. 3797 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1159(a,1),3796(a,1,1,2,1))]. 3798 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3463(a,1),3797(a,1,1))]. 3799 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(35(a,2),1879(a,2,2,1,1))]. 3800 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1902(a,1),3799(a,1,1))]. 3801 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1639(a,1),3800(a,1,1,1))]. 3802 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(466,a,3801,a),flip(a)]. 3804 R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [hyper(255,a,1164,a(flip),b,3802,a(flip))]. 3805 R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). [para(592(a,1),3802(a,2,1,2))]. 3806 R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). [hyper(1188,a,3805,a),flip(a)]. 3807 a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z). [para(16(a,1),3806(a,1,1,2,1)),flip(a)]. 3808 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1713(a,1),3804(a,1,1,2)),flip(a)]. 3809 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(23,a,2673,a(flip),b,3808,a)]. 3810 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(3779,a,3809,a)]. 3811 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(80,a,3810,a(flip),b,2561,a)]. 3812 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(73(a,1),3810(a,1,2))]. 3813 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1180(a,1),3812(a,1,1))]. 3814 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1172(a,1),3813(a,1,1)),flip(a)]. 3815 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(33(a,2),1906(a,2,2,1,1))]. 3816 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(1007(a,1),3815(a,1,2))]. 3817 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(824(a,1),3816(a,1,2,2))]. 3818 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(431,a,3817,a),flip(a)]. 3820 L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). [para(675(a,1),3818(a,2,1,2))]. 3821 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(1044(a,1),3818(a,1,2))]. 3822 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1431(a,1),3820(a,1,2))]. 3823 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(153(a,1),3822(a,2,1,2))]. 3824 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1448(a,2),3823(a,2,1))]. 3825 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(17(a,1),3821(a,1,2,2)),flip(a)]. 3826 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2650(a,1),3825(a,1,1)),flip(a)]. 3827 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(255,a,3786,a(flip),b,3826,a)]. 3828 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(22,a,1448,a(flip),b,3827,a)]. 3829 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(255,a,3744,a,b,3828,a(flip)),flip(a)]. 3830 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(3829(a,1),70(a,1,2)),flip(a)]. 3831 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(70(a,1),3829(a,1,1,1,2)),flip(a)]. 3833 L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). [para(241(a,1),3830(a,2,2,2))]. 3835 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(3831(a,1),73(a,1,1))]. 3837 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(70(a,1),3835(a,1,1,1,1)),flip(a)]. 3840 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(3833(a,1),112(a,1,2))]. 3842 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [para(18(a,1),3840(a,2,2,2,2,2,2))]. 3843 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(35(a,2),1976(a,2,2,1,1))]. 3844 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1900(a,1),3843(a,1,1))]. 3845 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1643(a,1),3844(a,1,1,1))]. 3846 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(466,a,3845,a),flip(a)]. 3847 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(675(a,1),3846(a,2,1,2))]. 3848 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1177(a,1),3846(a,1,2))]. 3849 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1313(a,1),3847(a,1,2))]. 3850 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(153(a,1),3849(a,2,1,2))]. 3851 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1448(a,2),3850(a,2,1))]. 3852 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(17(a,1),3848(a,1,2,2)),flip(a)]. 3853 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3620(a,1),3852(a,1,1)),flip(a)]. 3854 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3617(a,1),3853(a,2,1))]. 3855 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(255,a,3798,a(flip),b,3854,a)]. 3856 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(22,a,1448,a(flip),b,3855,a)]. 3857 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(255,a,3814,a,b,3856,a(flip)),flip(a)]. 3858 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(3857(a,1),70(a,1,2)),flip(a)]. 3859 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. [para(145(a,1),3857(a,1,1,1)),flip(a)]. 3860 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2230(a,1),3857(a,1,1,1))]. 3861 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(70(a,1),3858(a,1,1,2)),flip(a)]. 3862 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(3859(a,1),73(a,1,1)),flip(a)]. 3863 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(3861(a,1),3368(a,1,2))]. 3864 R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. [para(472(a,1),3862(a,2,1,1))]. 3865 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3862(a,2),2239(a,1,1))]. 3866 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2813(a,1),3862(a,2,1,1))]. 3867 T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). [para(3862(a,2),3371(a,1,2))]. 3868 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(658(a,1),3860(a,1,1)),flip(a)]. 3869 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(255,a,2838,a,b,3866,a(flip)),flip(a)]. 3870 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(230,a,3865,a),flip(a)]. 3871 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2238(a,1),3870(a,2,1))]. 3872 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(255,a,3633,a(flip),b,3871,a(flip)),flip(a)]. 3873 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(255,a,3366,a(flip),b,3871,a(flip)),flip(a)]. 3874 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(3862(a,2),3873(a,1,1))]. 3875 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. [para(3190(a,1),3874(a,2,1))]. 3876 (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(3864(a,1),3875(a,1,1))]. 3877 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3190(a,1),3872(a,2,1))]. 3878 (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(21(a,1),3876(a,1,2,1))]. 3879 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). [hyper(1245,a,3878,a),flip(a)]. 3881 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(143(a,1),2539(a,1,2,2,2,2))]. 3882 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). [hyper(255,a,3842,a(flip),b,3881,a(flip))]. 3884 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). [para(3840(a,1),3882(a,2,2))]. 3885 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). [para(60(a,1),3884(a,2,2,2,2,2,2,2))]. 3887 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). [para(70(a,1),3885(a,2,2,2,2,2))]. 3888 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). [para(1448(a,2),3887(a,2,2,2))]. 3889 (x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z. [para(3888(a,1),24(a,1)),flip(a)]. 3890 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(3255(a,2),3273(a,2,2,2))]. 3891 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(2748(a,1),1217(a,1,1,2))]. 3892 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(21(a,1),3891(a,1,1,2))]. 3894 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1161(a,1),3892(a,1,1)),flip(a)]. 3896 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3894(a,1),3622(a,1,1))]. 3897 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(80,a,3896,a(flip),b,3587,a)]. 3898 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(2771,a,3897,a),flip(a)]. 3900 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3898(a,1),2532(a,1,1))]. 3901 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(3621,a,3900,a)]. 3902 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(255,a,3564,a,b,3901,a(flip)),flip(a)]. 3903 R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(3901(a,1),2671(a,1,1))]. 3904 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(3902(a,1),19(a,1,2))]. 3905 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(255,a,3858,a(flip),b,3904,a)]. 3906 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(22,a,1483,a,b,3905,a),flip(a)]. 3907 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(364,a,3906,a)]. 3908 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3906(a,1),1458(a,1,1)),flip(a)]. 3909 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3907(a,1),315(a,1))]. 3910 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3907(a,1),3877(a,1,1))]. 3911 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(255,a,3898,a(flip),b,3908,a)]. 3912 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3910(a,1),25(a,1))]. 3913 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(3312(a,1),3910(a,1,1))]. 3914 K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). [para(3312(a,1),3903(a,1,1)),flip(a)]. 3915 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(1524(a,1),3913(a,2,1,2))]. 3917 R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). [hyper(255,a,3906,a(flip),b,3914,a(flip))]. 3918 R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). [hyper(255,a,3312,a(flip),b,3917,a)]. 3919 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(3918(a,1),122(a,1,1)),flip(a)]. 3920 L(x,y,K(z,R(z \ 1,y,x))) = x. [hyper(422,a,3919,a)]. 3921 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(23,a,3915,a(flip),b,3919,a)]. 3922 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(23,a,2247,a,b,3921,a)]. 3925 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3922(a,1),3915(a,1,1)),flip(a)]. 3926 L(x,y,K(z,z \ 1)) = x. [para(3922(a,1),3920(a,1,3))]. 3932 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [hyper(255,a,2734,a,b,3926,a(flip)),flip(a)]. 3933 (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). [hyper(255,a,2941,a(flip),b,3926,a(flip)),flip(a)]. 3934 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(255,a,114,a(flip),b,3926,a(flip)),flip(a)]. 3936 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3926(a,1),112(a,1,2))]. 3937 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3926(a,1),375(a,1,2)),flip(a)]. 3938 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3926(a,1),483(a,1,2))]. 3940 L(x,y,K(z \ 1,z)) = x. [para(1451(a,1),3926(a,1,3))]. 3941 ((x \ 1) \ 1) / (y \ x) = K(x,x \ 1) * y. [para(3926(a,1),1474(a,1,2))]. 3942 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3926(a,1),1472(a,1,2)),flip(a)]. 3943 L(x,y,K(z \ u,u \ z)) = x. [para(2502(a,1),3926(a,1,3))]. 3947 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3645,a,3940,a),flip(a)]. 3949 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y). [hyper(255,a,2735,a,b,3940,a(flip)),flip(a)]. 3950 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(255,a,2932,a(flip),b,3940,a(flip))]. 3951 a(x,1 / y,y) = a(x,y \ 1,y). [hyper(255,a,2818,a(flip),b,3940,a(flip))]. 3952 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(255,a,2406,a(flip),b,3940,a(flip))]. 3953 (x * K(y \ 1,y)) \ K(y \ 1,y) = x \ 1. [hyper(255,a,2282,a(flip),b,3940,a(flip)),flip(a)]. 3954 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(255,a,114,a(flip),b,3940,a(flip)),flip(a)]. 3955 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3940(a,1),112(a,1,2))]. 3956 K(x \ 1,x) * (1 / y) = K(x \ 1,x) / y. [para(3940(a,1),375(a,1,2)),flip(a)]. 3957 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3940(a,1),483(a,1,2))]. 3958 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3940(a,1),2283(a,1,2))]. 3960 (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). [para(3943(a,1),112(a,1,2))]. 3962 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(255,a,3061,a,b,3947,a(flip)),flip(a)]. 3963 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(70(a,1),3947(a,1,3)),flip(a)]. 3965 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [hyper(255,a,2892,a,b,3951,a(flip)),flip(a)]. 3966 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(3632,a,3963,a)]. 3968 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3937(a,1),2253(a,1))]. 3969 K(x,x \ 1) * (x / y) = ((x \ 1) \ 1) / y. [para(73(a,1),3941(a,1,2)),flip(a)]. 3971 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2253,a,3942,a)]. 3973 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(2914(a,1),3953(a,1,1)),flip(a)]. 3974 (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. [hyper(2267,a,3956,a)]. 3975 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(255,a,114,a(flip),b,3966,a(flip))]. 3976 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2253,a,3969,a)]. 3977 (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). [hyper(302,a,3971,a),flip(a)]. 3978 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(613(a,1),3971(a,1,1)),flip(a)]. 3980 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(3977(a,1),73(a,1,1))]. 3983 (x * K(y,y \ 1)) \ K(y,y \ 1) = x \ 1. [hyper(80,a,64,a(flip),b,3925,a)]. 3984 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(81,a,3925,a(flip),b,122,a)]. 3985 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [para(2911(a,1),3925(a,1,1)),flip(a)]. 3986 K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. [para(3097(a,1),3925(a,1,1)),flip(a)]. 3988 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [para(2911(a,1),3983(a,1,1)),flip(a)]. 3989 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(2912(a,1),3983(a,1,1)),flip(a)]. 3991 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [para(2924(a,1),3933(a,1,1)),flip(a)]. 3992 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2924(a,1),3934(a,1,1)),flip(a)]. 3993 (x \ y) \ (K(x,x \ 1) * z) = (((x \ 1) \ 1) \ y) \ z. [para(3036(a,1),3934(a,1,1))]. 3994 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(454,a,3936,a)]. 3996 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(255,a,3851,a,b,3994,a(flip)),flip(a)]. 3998 K(x,x \ 1) * ((1 / (1 / x)) / y) = x / y. [para(1504(a,1),3938(a,1,1)),flip(a)]. 3999 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3938(a,1),2943(a,1,1))]. 4000 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [hyper(2921,a,3998,a)]. 4001 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(199(a,1),4000(a,1,2)),flip(a)]. 4004 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(3097(a,1),3950(a,1,1)),flip(a)]. 4005 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3950(a,1),3210(a,1))]. 4006 (K(x \ 1,x) * y) \ z = y \ (z * K(x,x \ 1)). [para(2913(a,1),3954(a,1,2))]. 4008 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3955(a,1),35(a,2,1,1)),flip(a)]. 4009 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3957(a,1),129(a,1,1))]. 4010 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3912,a,3958,a)]. 4013 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3958(a,1),33(a,2,1)),flip(a)]. 4014 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3958(a,1),431(a,1,2,2))]. 4015 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3958(a,1),3099(a,1,1))]. 4016 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3909,a,4010,a)]. 4017 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(4010(a,1),1163(a,1,2))]. 4020 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(255,a,128,a,b,3991,a),flip(a)]. 4021 x * ((x * K(y \ 1,y)) \ z) = K(y,y \ 1) * z. [para(3992(a,2),19(a,1,2))]. 4024 x * ((x * K(y \ 1,R(y,z,u))) \ w) = K(y,y \ 1) * w. [para(4010(a,2),4021(a,1,2,1,2))]. 4028 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) = T(x,y / (z \ 1)). [para(2827(a,1),3949(a,1,1,2))]. 4029 a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x. [hyper(81,a,2944,a(flip),b,3986,a(flip))]. 4032 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(4004(a,1),3731(a,1,2,1)),flip(a)]. 4033 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(3207(a,1),4009(a,1,1))]. 4034 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(23,a,3098,a,b,4017,a),flip(a)]. 4036 R(x,y,z) / x = x \ R(x,y,z). [hyper(255,a,1173,a(flip),b,4034,a(flip)),flip(a)]. 4037 (x \ R(x,y,z)) * x = R(x,y,z). [para(4036(a,1),21(a,1,1))]. 4038 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(4036(a,1),480(a,1,1))]. 4039 T(x,x \ R(x,y,z)) = x. [hyper(286,a,4037,a)]. 4040 x * ((x * K(y \ 1,R(y,z,u))) \ w) != v5 * w | K(y,y \ 1) = v5. [para(4024(a,2),25(a,1))]. 4041 (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). [para(2519(a,1),3960(a,1,1))]. 4042 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(4038(a,2),2232(a,1,1,1,1))]. 4043 (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. [para(4041(a,2),159(a,1)),flip(b)]. 4044 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(255,a,2318,a(flip),b,3984,a(flip))]. 4045 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1451(a,1),4044(a,1,2)),flip(a)]. 4046 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1451(a,1),4045(a,1,3)),flip(a)]. 4047 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3955(a,1),4008(a,1,1))]. 4048 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(255,a,3957,a(flip),b,4047,a(flip)),flip(a)]. 4049 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(35(a,2),4048(a,1,2)),flip(a)]. 4050 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(255,a,2990,a(flip),b,4049,a)]. 4051 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2938,a,4049,a(flip))]. 4052 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1481(a,1),4051(a,1,2,1))]. 4053 R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). [para(2918(a,1),4051(a,1,2,1)),flip(a)]. 4054 R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). [hyper(255,a,2247,a(flip),b,4053,a)]. 4055 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3330(a,1),4032(a,2,2))]. 4056 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2878(a,1),4050(a,1,1)),flip(a)]. 4057 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(96,a,4056,a)]. 4058 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(19(a,1),4056(a,1,1,2,1)),flip(a)]. 4059 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(21(a,1),4057(a,1,1,1)),flip(a)]. 4060 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(472(a,1),4058(a,2,1,2))]. 4061 R((x \ (1 / y)) * x,y,x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(4058(a,2),1199(a,1,1))]. 4062 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2813(a,1),4058(a,2,1,2))]. 4063 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(4059(a,1),19(a,1,2)),flip(a)]. 4064 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(4063(a,2),3745(a,1,1))]. 4065 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(81,a,4060,a(flip),b,193,a)]. 4066 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(255,a,3558,a(flip),b,4062,a(flip))]. 4067 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(81,a,4062,a(flip),b,2810,a),flip(a)]. 4068 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(4062(a,1),3768(a,1,1)),flip(a)]. 4069 (x * (y \ T(y,x))) * y = y * x. [para(18(a,1),4066(a,1,1)),flip(a)]. 4070 x * (y \ T(y,x)) = (y * x) / y. [hyper(96,a,4069,a),flip(a)]. 4071 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(81,a,19,a(flip),b,4069,a),flip(a)]. 4072 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(23,a,127,a(flip),b,4069,a)]. 4073 R(x,y \ T(y,x),y) = (y * x) / T(y,x). [hyper(81,a,4069,a(flip),b,3253,a),flip(a)]. 4074 x \ ((y * x) / y) = y \ T(y,x). [hyper(87,a,4070,a)]. 4076 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(80,a,251,a(flip),b,4070,a),flip(a)]. 4077 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(80,a,167,a(flip),b,4070,a)]. 4078 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(22,a,3184,a,b,4070,a),flip(a)]. 4079 ((x * y) / x) / y = x \ T(x,y). [hyper(22,a,3179,a,b,4070,a),flip(a)]. 4080 (x \ T(x,y)) * y = (x * y) / x. [hyper(255,a,3154,a,b,4070,a(flip)),flip(a)]. 4082 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(4070(a,1),929(a,1,2))]. 4083 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(4070(a,1),2571(a,1,1))]. 4084 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(3240(a,1),4070(a,1,2)),flip(a)]. 4085 ((x * y) / x) \ y = T(x,y) \ x. [para(4070(a,1),3487(a,1,1))]. 4086 (T(x,y) \ x) * ((x * y) / x) = y. [para(4070(a,1),3584(a,1,2))]. 4087 T(x,T(y,x)) \ x = y \ T(y,x). [para(4072(a,1),3487(a,1,1)),flip(a)]. 4088 x * (T(y,T(x,y)) \ y) = T(x,y). [para(4072(a,1),3488(a,1,1))]. 4089 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(4074(a,1),438(a,1,1))]. 4090 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(4074(a,1),1859(a,1,1)),flip(a)]. 4091 x * (T(y,x) \ y) = T(x,T(y,x)). [para(4077(a,2),19(a,1,2))]. 4092 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(4077(a,2),3242(a,1,1))]. 4093 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(4079(a,1),452(a,1,1,1))]. 4094 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(4079(a,1),450(a,1,1,1))]. 4095 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((1 / (x * y)) \ T(1 / (x * y),x)) * x. [para(4029(a,2),4080(a,2,1)),flip(a)]. 4096 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(19(a,1),4085(a,1,1,1)),flip(a)]. 4097 (((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(4085(a,1),1145(a,1,1,2,2)),flip(a)]. 4098 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(4085(a,1),1605(a,1,2,2,1))]. 4099 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3648,a,4086,a)]. 4100 K(x \ (x / (y \ 1)),x) = T(x,T(y,x)) \ x. [hyper(255,a,1204,a,b,4087,a),flip(a)]. 4101 T(x,T(y,x)) * (y \ T(y,x)) = x. [para(4087(a,1),19(a,1,2))]. 4102 x * (y \ T(y,z)) != z | T(z,T(y,z)) = x. [para(4087(a,1),94(a,1,2)),flip(b)]. 4103 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(4087(a,1),3134(a,1,1))]. 4104 (x * (T(x,T(y,x)) \ x)) * y = y * x. [para(4087(a,2),4069(a,1,1,2))]. 4105 (x * y) / x = y * (T(y,T(x,y)) \ y). [para(4087(a,2),4070(a,1,2)),flip(a)]. 4106 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [hyper(255,a,3686,a(flip),b,4091,a(flip))]. 4107 L(x,y \ T(y,x),y) = x. [hyper(255,a,3577,a(flip),b,4101,a(flip)),flip(a)]. 4110 T(x,y) \ (y * (x \ T(x,y))) = x \ y. [hyper(80,a,4107,a(flip),b,3178,a),flip(a)]. 4111 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(3240(a,1),4103(a,1,1))]. 4112 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(128(a,1),4071(a,1,2,2))]. 4113 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(4083(a,1),431(a,1,1))]. 4114 T(x * (T(x,T(y,x)) \ x),y) = x. [hyper(172,a,4104,a,b,xx)]. 4116 T(x,y) \ ((x * y) / x) = x \ y. [para(4070(a,1),4110(a,1,2))]. 4117 T(x / y,T(y,x)) = y \ x. [hyper(899,a,4116,a)]. 4118 T(x,y) * (x \ y) = (x * y) / x. [para(4116(a,1),19(a,1,2))]. 4119 T(x,T(y,x * y)) = y \ (x * y). [para(20(a,1),4117(a,1,1))]. 4120 T(x / ((x * y) / x),y) = ((x * y) / x) \ x. [para(166(a,1),4117(a,1,2))]. 4121 T(x \ y,T(x,y)) = T(x \ y,x). [para(4117(a,1),185(a,1,1)),flip(a)]. 4122 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(4117(a,1),2008(a,1,1)),flip(a)]. 4123 T(x,x / (x / y)) = T(x,y). [hyper(23,a,1632,a,b,4118,a),flip(a)]. 4125 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(105(a,1),4118(a,1,2))]. 4126 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(4118(a,1),431(a,1,1))]. 4127 T(x,y) * y = x * ((x * y) / x). [para(4118(a,1),1078(a,1,2)),flip(a)]. 4128 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(4118(a,1),3162(a,1,1,1))]. 4129 T(x,x / (1 / y)) = T(x,x * y). [hyper(255,a,1637,a(flip),b,4123,a(flip)),flip(a)]. 4130 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(255,a,1000,a(flip),b,4123,a(flip)),flip(a)]. 4131 (x / y) \ T(x,y) = (x * y) / x. [hyper(80,a,4123,a(flip),b,998,a)]. 4132 T(x,x / y) = T(x,y \ x). [para(70(a,1),4123(a,1,2,2))]. 4133 T(x,(y \ x) \ x) = T(x,y). [para(145(a,1),4123(a,1,2)),flip(a)]. 4134 T(T(x,y) / (x / y),x) = x / (x / y). [para(4123(a,1),988(a,1,1,1))]. 4135 T(x,T(y,x)) * (y * x) = x * (x * y). [para(4123(a,1),1359(a,1,1))]. 4136 T(x,(y \ 1) \ x) = T(x,y * x). [hyper(1617,a,4132,a),flip(a)]. 4137 T(T(x,y \ x) / y,x) = x / y. [para(4132(a,1),988(a,1,1,1))]. 4138 T(x,T(y,y \ x)) = T(x,y). [para(128(a,2),4133(a,1,2))]. 4139 T(x,T(y,x * y)) = T(x,y). [hyper(255,a,37,a,b,4119,a)]. 4140 T(x,T(x \ y,y)) = T(x,x \ y). [para(19(a,1),4139(a,1,2,2))]. 4141 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(4121(a,1),127(a,1,2))]. 4143 x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). [para(4121(a,2),388(a,1,2,2))]. 4145 T(x,x \ y) * (x \ y) = x * (y / x). [para(19(a,1),4127(a,2,2,1))]. 4147 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(4129(a,1),1621(a,1,1))]. 4148 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(20(a,1),4131(a,1,1)),flip(a)]. 4149 T(x,(1 / y) * x) = T(x,y \ x). [para(73(a,1),4136(a,1,2,1)),flip(a)]. 4150 T(T(x * y,y) / x,x * y) = (x * y) / x. [para(18(a,1),4137(a,1,1,1,2))]. 4151 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(87,a,4112,a)]. 4154 (x * (y / x)) \ (T(x,x \ y) * ((x \ y) * z)) = L(z,x \ y,T(x,x \ y)). [para(4145(a,1),33(a,2,1)),flip(a)]. 4155 T(x,x \ y) * y = x * (x * (y / x)). [para(4145(a,1),1078(a,1,2)),flip(a)]. 4157 R(x,y \ T(y,x),y) = x. [hyper(255,a,144,a(flip),b,4073,a)]. 4159 R(T(x,y),z \ T(z,x),z) = T(x,y). [para(4157(a,1),47(a,2,1))]. 4160 (T(x,y) * (z \ T(z,x))) * z = T(x,y) * T(z,x). [para(4159(a,1),3253(a,1,1)),flip(a)]. 4161 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(167(a,1),4089(a,2,2)),flip(a)]. 4162 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(255,a,3236,a(flip),b,4090,a)]. 4163 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(3498,a,4162,a),flip(a)]. 4165 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(3439(a,1),4162(a,1,2))]. 4166 T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. [para(4162(a,1),3498(a,1))]. 4167 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [hyper(255,a,3557,a(flip),b,4165,a(flip)),flip(a)]. 4168 T(x,x / (x * y)) = T(x,y \ 1). [hyper(255,a,3443,a(flip),b,4165,a(flip)),flip(a)]. 4169 T(x,x / (y * x)) = T(x,y \ 1). [hyper(255,a,3438,a(flip),b,4165,a(flip)),flip(a)]. 4170 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2418,a,4168,a)]. 4174 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(81,a,4168,a(flip),b,2412,a)]. 4175 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(80,a,4168,a(flip),b,1916,a),flip(a)]. 4176 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(4168(a,1),2060(a,1,1,2))]. 4177 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(4168(a,1),2414(a,1,2)),flip(a)]. 4178 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(80,a,4169,a(flip),b,1063,a)]. 4179 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(128(a,2),4163(a,1,2,1))]. 4181 T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). [para(70(a,1),4174(a,2,2,1))]. 4183 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(4174(a,2),162(a,2,1))]. 4184 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(4175(a,1),3795(a,1,1))]. 4185 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(80,a,4178,a,b,4145,a)]. 4186 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(80,a,4178,a,b,xx)]. 4187 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(73(a,1),4178(a,2,2,1))]. 4188 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(350(a,2),4178(a,2,2)),flip(a)]. 4189 R(x,(y \ x) / x,x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [para(4178(a,2),124(a,1,1,1)),flip(a)]. 4192 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(4079(a,1),4128(a,1,1))]. 4193 K(T(x,y),y) = K(x,(x * y) / x). [hyper(255,a,4089,a(flip),b,4192,a(flip))]. 4194 K(T(x,x \ y),x \ y) = K(x,y / x). [para(19(a,1),4193(a,2,2,1))]. 4195 K(T(x,T(y,x)),T(y,x)) = K(x,y). [para(167(a,1),4193(a,2,2))]. 4197 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(255,a,4130,a(flip),b,4147,a)]. 4198 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(4197(a,1),184(a,1,2))]. 4199 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(4197(a,1),1068(a,1,2)),flip(a)]. 4200 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(129(a,1),4076(a,1,2))]. 4201 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(255,a,4096,a,b,4200,a(flip)),flip(a)]. 4202 x / (x / y) = y * (T(y,y \ x) \ y). [para(4201(a,2),19(a,1,2)),flip(a)]. 4203 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(18(a,1),4202(a,2,2,1,2))]. 4204 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(255,a,1189,a,b,4078,a(flip)),flip(a)]. 4205 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(255,a,3783,a(flip),b,4078,a(flip)),flip(a)]. 4207 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(4078(a,1),2356(a,2,2,1))]. 4208 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(4078(a,1),2417(a,2,2,1))]. 4209 (T(x,T(y,x)) \ x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(4100(a,1),3890(a,1,1))]. 4211 T(x \ T(x * y,y),x) = R(y,x,y). [para(4148(a,1),703(a,2,1)),flip(a)]. 4212 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(4148(a,1),714(a,1,1))]. 4213 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(4212(a,1),106(a,1,1))]. 4214 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(4177(a,1),2873(a,2,1,2))]. 4216 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(255,a,933,a(flip),b,4187,a(flip)),flip(a)]. 4217 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(23,a,397,a,b,4199,a),flip(a)]. 4218 (x / ((x * y) / x)) * y = x * (T(x,y) \ x). [hyper(255,a,1627,a(flip),b,4203,a(flip)),flip(a)]. 4219 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(255,a,1125,a(flip),b,4203,a(flip)),flip(a)]. 4221 T(x * (T(x,T(y,x)) \ x),T(y,x)) = L(R(x,y,x),y,x). [para(4105(a,1),4217(a,1,1))]. 4222 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(4148(a,1),4217(a,1,1))]. 4223 x \ (y * (T(y,x) \ y)) = T(y / ((y * x) / y),x). [hyper(172,a,4218,a,b,19,a),flip(a)]. 4225 (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). [para(4219(a,1),73(a,1,1))]. 4226 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(4219(a,1),1557(a,2,2,1,2))]. 4227 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(73(a,1),4188(a,2,2,2))]. 4228 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1138(a,1),4084(a,2,2))]. 4229 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(255,a,4143,a(flip),b,4122,a(flip))]. 4230 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(255,a,615,a(flip),b,4229,a(flip))]. 4231 K(x,T(y,y * x)) = K(x,y). [hyper(255,a,615,a(flip),b,4230,a(flip))]. 4233 K(x \ 1,T(y,x \ y)) = K(x \ 1,y). [para(1990(a,1),4231(a,1,2))]. 4234 K((x \ 1) \ 1,T(y,x * y)) = K((x \ 1) \ 1,y). [para(4136(a,1),4233(a,1,2))]. 4235 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(22,a,859,a,b,4167,a),flip(a)]. 4236 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(255,a,4175,a(flip),b,4176,a),flip(a)]. 4237 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(4179(a,2),24(a,1))]. 4239 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [hyper(255,a,4120,a(flip),b,4223,a)]. 4240 K((x \ 1) \ 1,y) = K(x,T(y,x * y)). [hyper(255,a,3312,a(flip),b,4234,a(flip))]. 4241 K(x,T(y,x * y)) = K(x,y). [hyper(255,a,3312,a(flip),b,4240,a(flip))]. 4242 K(x,T(x \ y,y)) = K(x,x \ y). [para(19(a,1),4241(a,1,2,2))]. 4243 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(255,a,3080,a(flip),b,4235,a(flip))]. 4244 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3264(a,1),4236(a,1,2,2,1)),flip(a)]. 4245 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(160(a,2),4243(a,1,2))]. 4246 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(81,a,4245,a(flip),b,774,a),flip(a)]. 4247 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(4092(a,1),840(a,1,1))]. 4248 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(255,a,4175,a(flip),b,4184,a)]. 4249 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(255,a,1401,a(flip),b,4067,a(flip)),flip(a)]. 4250 (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. [para(4125(a,1),25(a,1))]. 4251 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(4078(a,1),4205(a,1,1))]. 4252 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(4175(a,1),4207(a,1,1))]. 4253 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(3470(a,1),4227(a,1,2))]. 4254 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(4253(a,1),3725(a,1,2)),flip(a)]. 4255 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(255,a,3726,a(flip),b,4254,a),flip(a)]. 4256 ((1 / (x * y)) * x) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [hyper(255,a,3215,a,b,4228,a(flip)),flip(a)]. 4257 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(4228(a,2),24(a,1))]. 4258 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(255,a,4083,a(flip),b,4246,a(flip)),flip(a)]. 4259 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(255,a,2047,a(flip),b,4258,a(flip)),flip(a)]. 4260 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(18(a,1),4259(a,1,1,1)),flip(a)]. 4261 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(18(a,1),4260(a,1,1,1)),flip(a)]. 4262 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [para(4029(a,2),4256(a,1,1))]. 4263 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(255,a,3962,a(flip),b,4099,a(flip)),flip(a)]. 4264 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(3065(a,1),4263(a,2,1))]. 4265 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(255,a,4261,a(flip),b,4264,a(flip))]. 4266 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(4265(a,1),2710(a,1,2,1))]. 4267 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(255,a,263,a(flip),b,4055,a),flip(a)]. 4268 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(31(a,2),4247(a,2,1))]. 4269 x * ((y * x) * T((y * x) \ 1,x)) = (((x \ (1 / y)) * x) * y) * x. [hyper(230,a,4061,a),flip(a)]. 4270 x * (y * (x * T(x \ (y \ 1),x))) = (((x \ (1 / y)) * x) * y) * x. [para(832(a,1),4269(a,1,2))]. 4271 (((x \ (1 / y)) * x) * y) * x = x * (y * ((x \ (y \ 1)) * x)). [para(127(a,1),4270(a,1,2,2)),flip(a)]. 4272 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(255,a,4248,a,b,4244,a)]. 4273 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) != x * z | ((x \ (1 / y)) * x) * y = z. [para(4262(a,2),24(a,1))]. 4274 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3371(a,1),4272(a,2,1,2))]. 4275 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(16(a,1),4068(a,2,1,1,2))]. 4276 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(73(a,1),4275(a,2,2))]. 4277 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(255,a,1744,a(flip),b,4226,a(flip))]. 4278 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(127(a,1),4277(a,2,1,2))]. 4279 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(4239(a,1),4278(a,1,2,1))]. 4280 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(4085(a,1),4098(a,2,2))]. 4281 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(4033(a,2),4005(a,1))]. 4282 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2899(a,1),4214(a,1,1,1))]. 4283 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3976(a,1),4282(a,1,1,1))]. 4284 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(129(a,1),4283(a,1,1))]. 4285 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(4186(a,1),4284(a,2,1))]. 4286 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(255,a,21,a(flip),b,4285,a)]. 4287 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(23,a,2926,a(flip),b,4285,a),flip(a)]. 4290 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(4286(a,1),2831(a,1,1)),flip(a)]. 4291 K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. [para(4287(a,1),3925(a,1,1)),flip(a)]. 4292 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(4291(a,1),3088(a,1,2))]. 4293 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(4291(a,1),3204(a,1,1))]. 4294 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3958(a,1),4013(a,1,2))]. 4295 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(255,a,3957,a(flip),b,4015,a(flip)),flip(a)]. 4296 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((x * y) * T((x * y) \ 1,x)) * x. [para(663(a,1),4095(a,2,1))]. 4297 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = (((x \ (1 / y)) * x) * y) * x. [para(1138(a,1),4296(a,2,1))]. 4298 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (y * ((x \ (y \ 1)) * x)). [hyper(255,a,4271,a(flip),b,4297,a)]. 4299 ((x \ (1 / y)) * x) * y = y * ((x \ (y \ 1)) * x). [hyper(4273,a,4298,a)]. 4300 (x \ 1) * ((y \ ((x \ 1) \ 1)) * y) = ((y \ x) * y) * (x \ 1). [para(70(a,1),4299(a,1,1,1,2)),flip(a)]. 4301 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(255,a,4292,a(flip),b,4300,a(flip))]. 4302 (T(x,T(y,x)) \ x) \ (L(z,y,T(x,T(y,x)) \ x) * T(y,x)) = y * T(z,T(y,x)). [para(4100(a,1),4209(a,1,2,1,3))]. 4303 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(752,a,4294,a)]. 4304 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(255,a,3940,a(flip),b,4303,a(flip))]. 4306 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2263(a,2),4304(a,1,3))]. 4307 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(3068(a,1),4306(a,1,3)),flip(a)]. 4308 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1451(a,1),3978(a,2,2))]. 4309 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(70(a,1),4308(a,1,1))]. 4310 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(255,a,4286,a(flip),b,4309,a)]. 4311 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(564(a,1),4310(a,1,2,2,2))]. 4312 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(288(a,1),4310(a,1,2,2,2))]. 4313 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(255,a,4001,a(flip),b,4312,a(flip)),flip(a)]. 4316 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(4313(a,1),3985(a,1,2,1))]. 4317 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(255,a,3108,a(flip),b,4316,a(flip)),flip(a)]. 4318 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(4317(a,1),4276(a,1,1))]. 4319 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(255,a,4301,a(flip),b,4318,a(flip)),flip(a)]. 4320 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(4318(a,1),24(a,1))]. 4327 ((x * (y * T(y \ T(z,x),y))) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(2471(a,1),4097(a,1,1))]. 4328 ((x * ((y \ T(z,x)) * y)) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(127(a,1),4327(a,1,1,1,2))]. 4329 ((x * ((y \ T(z,x)) * y)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(4085(a,1),4328(a,1,2))]. 4330 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(230,a,4064,a),flip(a)]. 4332 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(255,a,4208,a(flip),b,4330,a(flip))]. 4333 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(4170(a,1),4332(a,1,1)),flip(a)]. 4334 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3371(a,1),4333(a,1,2,1,2)),flip(a)]. 4335 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3371(a,1),4334(a,1,1)),flip(a)]. 4336 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(18(a,1),4335(a,1,2,2)),flip(a)]. 4337 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(18(a,1),4336(a,1,2)),flip(a)]. 4338 L(x,y \ T(y,z),y) = x. [hyper(672,a,4337,a)]. 4340 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(96,a,4337,a)]. 4341 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(22,a,1078,a,b,4337,a)]. 4342 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(22,a,4155,a(flip),b,4337,a)]. 4343 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(22,a,1074,a(flip),b,4337,a)]. 4345 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(4077(a,2),4337(a,1,2,1))]. 4347 L(x,y,y \ T(y,z)) = x. [hyper(3466,a,4338,a)]. 4351 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(80,a,4338,a(flip),b,3571,a)]. 4353 L(x,T(y,T(z,y)) \ y,z) = x. [para(4087(a,2),4338(a,1,2))]. 4356 L(x,y,T(z,T(y,z)) \ z) = x. [para(4087(a,2),4347(a,1,3))]. 4357 L(x,T(y,z) \ y,(y * z) / y) = x. [para(166(a,1),4353(a,1,2,1,2))]. 4358 (T(x,T(y,x)) \ x) \ (z * T(y,x)) = y * T(z,T(y,x)). [para(4356(a,1),4302(a,1,2,1))]. 4359 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(80,a,4357,a(flip),b,4280,a),flip(a)]. 4360 R(x,x \ T(x,y),z) = x. [hyper(680,a,4340,a)]. 4361 R(x,x \ (K(y,x) \ x),z) = x. [para(4106(a,1),4360(a,1,2,2))]. 4362 R(x,K(y,x) \ 1,z) = x. [para(3683(a,1),4361(a,1,2))]. 4363 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(255,a,4252,a(flip),b,4341,a(flip))]. 4364 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(255,a,3643,a(flip),b,4341,a(flip))]. 4366 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(96,a,4343,a)]. 4367 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [hyper(87,a,4343,a)]. 4368 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(4343(a,1),222(a,1,2)),flip(b)]. 4372 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(3254,a,4366,a)]. 4373 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(4366(a,1),4268(a,1,1)),flip(a)]. 4375 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(255,a,3490,a(flip),b,4372,a(flip)),flip(a)]. 4377 (T(x,y) \ x) * (x * y) = y * x. [hyper(22,a,4135,a(flip),b,4345,a)]. 4378 K(x,y) = T(T(y,x) \ y,y * x). [hyper(172,a,4377,a,b,104,a),flip(a)]. 4379 (x * y) / (y * x) = T(y,x) \ y. [hyper(96,a,4377,a)]. 4380 T(x,y / x) \ x = y / (x * (y / x)). [hyper(81,a,21,a(flip),b,4377,a),flip(a)]. 4383 T(T(x,x \ y) \ x,y) = K(x \ y,x). [para(19(a,1),4378(a,2,2)),flip(a)]. 4384 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(21(a,1),4379(a,1,2)),flip(a)]. 4385 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(4379(a,2),2710(a,1,2,1)),flip(a)]. 4386 T(x \ (y / (y / x)),y) = K(x \ y,x). [para(4201(a,1),4383(a,1,1))]. 4387 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(255,a,4266,a(flip),b,4385,a),flip(a)]. 4388 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(2044(a,1),4387(a,1,2))]. 4389 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(4359(a,1),19(a,1,2))]. 4390 (x * (y / x)) / y = (x \ y) \ (y / x). [para(129(a,1),4384(a,1,1)),flip(a)]. 4391 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(255,a,4151,a(flip),b,4390,a)]. 4392 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(255,a,4204,a(flip),b,4391,a(flip))]. 4393 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(255,a,4094,a,b,4389,a(flip)),flip(a)]. 4394 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(19(a,1),4368(a,1,2))]. 4395 R(K(x,y),x,z) = K(x,y). [hyper(255,a,4161,a,b,4373,a)]. 4397 (K(x,y) * x) * z = K(x,y) * (x * z). [para(4395(a,1),122(a,1,1)),flip(a)]. 4398 L(x,y,K(y,z)) = x. [hyper(422,a,4397,a)]. 4406 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1291,a,4375,a),flip(a)]. 4408 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(4392(a,1),3251(a,1,1))]. 4409 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(3241,a,4408,a),flip(a)]. 4410 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(18(a,1),4409(a,1,2,2))]. 4411 T(x,(x / y) \ 1) = T(x,x \ y). [para(73(a,1),4409(a,1,2,2)),flip(a)]. 4412 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(4409(a,1),169(a,1,2))]. 4415 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4409(a,1),4201(a,1,1)),flip(a)]. 4416 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4409(a,1),4185(a,1,1))]. 4417 (x / y) \ T(x,x \ y) = x * (y / x). [para(4411(a,1),4187(a,1,2))]. 4418 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(73(a,1),4412(a,1,2,2))]. 4420 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(20(a,1),4417(a,2,2))]. 4421 ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). [para(4417(a,1),1812(a,1,1,2,1))]. 4422 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(255,a,128,a(flip),b,4410,a(flip))]. 4423 x / T(y * x,y \ 1) = (y * x) \ x. [para(4410(a,1),199(a,1,2))]. 4424 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(255,a,3371,a(flip),b,4422,a(flip)),flip(a)]. 4425 (x \ ((1 / y) \ x)) * z != (1 / y) \ x | T(x,y) = z. [para(4418(a,1),24(a,1)),flip(a)]. 4426 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(37(a,2),4420(a,1,2,2))]. 4427 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(3046(a,1),4416(a,2,2))]. 4428 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(255,a,4076,a(flip),b,4406,a(flip)),flip(a)]. 4429 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(4406(a,1),4103(a,1,1)),flip(a)]. 4430 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(255,a,4415,a(flip),b,4428,a(flip)),flip(a)]. 4431 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(255,a,1200,a,b,4430,a),flip(a)]. 4432 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(255,a,924,a(flip),b,4430,a)]. 4434 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(4430(a,2),33(a,2,1)),flip(a)]. 4436 T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). [para(4430(a,2),1646(a,1,1))]. 4437 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(4430(a,2),3227(a,2,2)),flip(a)]. 4438 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4431(a,2),3134(a,1,1))]. 4439 T(x,y) \ x = y \ T(y,x). [para(3371(a,1),4432(a,1,1))]. 4440 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(255,a,4076,a(flip),b,4439,a)]. 4441 T(x,y) * (y \ T(y,x)) = x. [para(4439(a,1),19(a,1,2))]. 4442 (x * y) / x = y * (T(y,x) \ y). [para(4439(a,2),4070(a,1,2)),flip(a)]. 4443 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4439(a,2),4337(a,1,2,1))]. 4444 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4439(a,2),4341(a,1,1)),flip(a)]. 4445 K(x,y) = T(x \ T(x,y),y * x). [para(4439(a,1),4378(a,2,1))]. 4446 T(x,T(y,x)) = T(x,y). [hyper(4102,a,4441,a)]. 4448 T(x,y) * T(y,x) = x * y. [para(4441(a,1),4160(a,1,1)),flip(a)]. 4449 T(x,y) \ (x * y) = T(y,x). [hyper(1129,a,4446,a)]. 4450 T(x,x \ y) \ y = T(x \ y,x). [hyper(1128,a,4446,a)]. 4451 R(T(x,x * y),y,x) = T(x,y). [hyper(255,a,4197,a,b,4446,a(flip)),flip(a)]. 4452 (x / T(y,x)) * y = T(x,y). [hyper(255,a,4130,a,b,4446,a(flip)),flip(a)]. 4454 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(255,a,4388,a(flip),b,4446,a(flip))]. 4455 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(255,a,278,a(flip),b,4446,a(flip))]. 4456 T(x,y) / y = x / T(y,x). [hyper(81,a,4446,a(flip),b,4130,a)]. 4457 T(x,y) / (T(y,x) \ x) = y. [hyper(81,a,4446,a(flip),b,1100,a)]. 4458 T(x,y) \ y = x \ T(y,x). [hyper(80,a,4446,a(flip),b,1100,a),flip(a)]. 4459 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(4446(a,1),43(a,1,1)),flip(a)]. 4460 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(43(a,1),4446(a,1,2))]. 4462 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(45(a,2),4446(a,1,2))]. 4463 T(x,y / x) = T(x,x \ y). [para(129(a,1),4446(a,1,2)),flip(a)]. 4465 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(4446(a,1),182(a,1,2,1))]. 4467 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(543(a,1),4446(a,1,2))]. 4468 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(4446(a,1),183(a,1,2,1))]. 4469 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4446(a,1),184(a,1,2,1))]. 4470 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(4446(a,1),361(a,1,2,1))]. 4473 T(x * (T(x,y) \ x),y) = x. [para(4446(a,1),4114(a,1,1,2,1))]. 4474 K(T(x,y),T(y,x)) = K(x,y). [para(4446(a,1),4195(a,1,1))]. 4475 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(4446(a,1),4198(a,1,2)),flip(a)]. 4476 (x / (y * x)) \ T(x,y) = x * y. [para(4446(a,1),4426(a,1,2))]. 4477 T(x,y) * (x \ T(y,x)) = y. [hyper(1099,a,4448,a)]. 4478 T(x,y) \ (y * x) = T(T(y,x),T(x,y)). [hyper(172,a,4448,a,b,19,a),flip(a)]. 4479 (x * y) / T(y,x) = T(x,y). [hyper(96,a,4448,a)]. 4481 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(4448(a,1),29(a,2,1,2)),flip(a)]. 4482 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4448(a,1),29(a,2,2,1)),flip(a)]. 4485 (x * y) * L(z,T(y,x),T(x,y)) = T(x,y) * (T(y,x) * z). [para(4448(a,1),112(a,1,1))]. 4486 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(4448(a,1),122(a,1,2))]. 4491 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). [para(43(a,1),4457(a,1,2,1))]. 4492 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(4458(a,1),101(a,1,1,2,1))]. 4493 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(4458(a,1),2325(a,1,2,1))]. 4494 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(4458(a,1),2115(a,1,2,1))]. 4496 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(255,a,721,a,b,4463,a(flip)),flip(a)]. 4497 (x * (y / x)) / T(x,x \ y) = y / x. [para(4463(a,1),144(a,1,2))]. 4498 x / T(y,x / y) = y \ x. [para(4463(a,2),199(a,1,2))]. 4501 (x * (y / x)) * x = y * T(x,x \ y). [para(4463(a,1),731(a,2,2))]. 4502 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(4463(a,1),816(a,1,2,2))]. 4503 T(x,T(y,x / y)) = T(x,y). [para(4463(a,2),4138(a,1,2))]. 4505 L(R(x,y,x),y,x) = x. [hyper(255,a,4221,a(flip),b,4473,a(flip)),flip(a)]. 4506 T(x / (x / y),y \ x) = y. [para(4202(a,2),4473(a,1,1))]. 4508 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(255,a,4222,a,b,4505,a(flip)),flip(a)]. 4509 R(L(x,y,x),y,x) = x. [hyper(255,a,49,a,b,4505,a(flip)),flip(a)]. 4510 (L(x,y,x) * y) * x = x * (y * x). [para(4505(a,1),460(a,1,1)),flip(a)]. 4511 (x * (y * x)) / x = L(x,y,x) * y. [para(4509(a,1),252(a,1,1,1))]. 4516 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(4479(a,1),894(a,1,1)),flip(a)]. 4518 x / T(y \ x,y) = (y \ x) \ x. [para(70(a,1),4498(a,1,2,2))]. 4519 T(x * y,T(y,x)) = T(x * y,y). [para(20(a,1),4503(a,1,2,2))]. 4522 T(x / (x / (x / y)),y) = x / y. [para(73(a,1),4506(a,1,2))]. 4523 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(4506(a,1),127(a,1,2)),flip(a)]. 4524 ((x \ y) * x) / (x \ y) = y / (y / x). [para(4506(a,1),167(a,1,1,2))]. 4525 R(T(x,y),x \ y,x) = T(x,x \ y). [para(19(a,1),4451(a,1,1,2))]. 4526 ((x * y) / x) \ x = y \ ((y * x) / y). [para(4442(a,2),4225(a,1,1))]. 4527 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(255,a,4236,a,b,4445,a),flip(a)]. 4528 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(255,a,4211,a(flip),b,4450,a)]. 4530 (x \ T(x,x \ y)) \ y = x * T(x \ y,x). [para(4450(a,1),4351(a,2,2))]. 4532 T(x,(1 / x) * y) = T(x,x \ y). [hyper(255,a,3065,a,b,4454,a(flip)),flip(a)]. 4533 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(4454(a,1),4267(a,2,1,2))]. 4534 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(4455(a,1),677(a,1,1))]. 4536 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(45(a,2),4459(a,1,2))]. 4537 T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). [para(4446(a,1),4460(a,1,2)),flip(a)]. 4538 T(x,y) / (x * y) = x / (y * x). [para(4476(a,1),70(a,1,2))]. 4540 (x * (y / x)) / x = y / (y / (y / x)). [para(4522(a,1),167(a,1,1,2))]. 4541 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(4522(a,1),682(a,1,1))]. 4542 x / T(y,(1 / y) * x) = y \ x. [para(4532(a,2),199(a,1,2))]. 4543 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(255,a,163,a,b,4538,a)]. 4544 T(x,x \ y) / y = x / ((x \ y) * x). [para(19(a,1),4538(a,1,2))]. 4545 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(70(a,1),4542(a,1,2,2,1))]. 4546 T(L(x,y,x) * y,x) = y * x. [hyper(172,a,4510,a,b,xx)]. 4547 x * T(y,x * y) = L(y,x,y) * x. [hyper(23,a,885,a,b,4510,a),flip(a)]. 4548 T(x,L(x,y,x) * y) = T(x,y * x). [para(4546(a,1),4446(a,1,2)),flip(a)]. 4549 T((x * y) / x,L(x,y,x)) = y. [hyper(1848,a,4511,a)]. 4550 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(80,a,4511,a,b,xx)]. 4551 (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. [para(4511(a,2),865(a,1))]. 4552 T(x,L(y,x,y)) = T(x,y). [para(4549(a,1),202(a,1,1)),flip(a)]. 4553 T(x,T(y,y * x)) = T(x,y). [hyper(255,a,4467,a,b,4552,a(flip)),flip(a)]. 4554 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(4552(a,1),127(a,1,2))]. 4556 T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). [para(4553(a,1),183(a,1,2,1))]. 4557 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(4553(a,1),184(a,1,2,1))]. 4560 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(255,a,128,a(flip),b,4525,a)]. 4561 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(611,a,4543,a)]. 4562 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R((T(x,y) / (x * y)) \ 1,z,u). [para(4543(a,1),1878(a,1,1)),flip(a)]. 4563 T(x,y * x) = T(x,x * y). [hyper(22,a,547,a,b,4547,a)]. 4564 T(x,(x \ y) * x) = T(x,y). [hyper(22,a,559,a(flip),b,4547,a)]. 4565 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(255,a,47,a,b,4563,a(flip)),flip(a)]. 4566 T(x,x * (1 / y)) = T(x,y \ x). [hyper(255,a,4149,a(flip),b,4563,a(flip))]. 4567 T(x,x * (y / x)) = T(x,y). [para(21(a,1),4563(a,1,2)),flip(a)]. 4568 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4563(a,1),43(a,1,1))]. 4569 T(T(x,y * x),z) = T(T(x,z),x * y). [para(4563(a,2),43(a,1,1))]. 4570 T(T(x,y),(x \ z) * x) = T(T(x,z),y). [para(4564(a,1),43(a,1,1)),flip(a)]. 4571 ((x \ y) * x) * T(x,y) != z | x * ((x \ y) * x) = z. [para(4564(a,1),225(a,1,2))]. 4572 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(4564(a,1),4452(a,1,1,2))]. 4573 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4567(a,1),4477(a,1,1))]. 4574 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(255,a,4563,a(flip),b,4548,a)]. 4575 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(559(a,1),4548(a,1,2))]. 4577 R(T(T(x,y),z),x \ y,x) = T((x \ y) \ y,z). [para(4560(a,1),47(a,2,1))]. 4578 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4574(a,1),1356(a,1,1))]. 4579 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(70(a,1),4438(a,1,1,1,2)),flip(a)]. 4580 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(255,a,4380,a(flip),b,4440,a(flip)),flip(a)]. 4581 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(22,a,1130,a,b,4443,a)]. 4582 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(255,a,4389,a,b,4444,a),flip(a)]. 4583 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(255,a,4459,a(flip),b,4478,a)]. 4584 T(x,y) * T(T(y,x),x) = y * x. [para(4583(a,1),19(a,1,2))]. 4585 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(45(a,2),4583(a,1,1))]. 4587 (x \ y) * T(y,y \ (x \ y)) = (x \ T(y,x \ 1)) * y. [para(4178(a,2),4501(a,1,1)),flip(a)]. 4589 T(x,x \ T(x * y,y)) = T(x,y). [para(4508(a,1),4140(a,1,2)),flip(a)]. 4590 K(x,x \ T(x * y,y)) = K(x,y). [para(4508(a,1),4242(a,1,2)),flip(a)]. 4591 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(255,a,4213,a,b,4590,a(flip))]. 4592 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(255,a,1367,a,b,4523,a(flip)),flip(a)]. 4593 T(x / (x / y),x) = L(y,y \ x,y). [para(4524(a,1),621(a,1,1))]. 4594 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(4593(a,2),45(a,2,1)),flip(a)]. 4595 L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). [para(70(a,1),4593(a,1,1,2)),flip(a)]. 4596 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(4593(a,2),418(a,1,2))]. 4597 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(4540(a,1),808(a,1,1))]. 4598 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(4409(a,1),4544(a,1,1))]. 4599 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [para(4545(a,1),73(a,1,1)),flip(a)]. 4600 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(4554(a,1),25(a,1)),flip(a)]. 4601 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(129(a,1),4561(a,1,3)),flip(a)]. 4602 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(255,a,43,a,b,4568,a(flip))]. 4603 K(x \ y,x) \ x = x * K(x,y / x). [hyper(4166,a,4579,a),flip(a)]. 4604 ((x \ y) * x) * (y / x) = y * (x \ y). [para(4592(a,1),21(a,1,1))]. 4605 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3685,a,4603,a)]. 4606 K(x,(x * y) / x) = K(y,x) \ 1. [para(18(a,1),4605(a,1,1,1)),flip(a)]. 4607 K(T(x,y),y) \ 1 = K(y,x). [para(167(a,1),4606(a,1,2)),flip(a)]. 4609 K(T(x,y),y) * K(y,x) = 1. [para(4607(a,1),19(a,1,2))]. 4610 R(x,K(x,y),z) = x. [para(4607(a,1),4362(a,1,2))]. 4611 R(T(x,y),K(x,z),u) = T(x,y). [para(4610(a,1),47(a,2,1))]. 4612 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4610(a,1),460(a,1,1,1)),flip(a)]. 4614 K(T(x,y),y) * z != 1 | K(y,x) = z. [para(4609(a,1),24(a,1)),flip(a)]. 4615 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4609(a,1),222(a,1,2)),flip(b)]. 4616 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4611(a,1),461(a,1,1,1)),flip(a)]. 4617 (x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y). [para(73(a,1),4604(a,1,1,1))]. 4618 R(x,y,T(x,y)) = R(x,y,x). [hyper(23,a,462,a,b,4475,a),flip(a)]. 4620 x \ T(y * x,y) = R(y,x,y). [hyper(255,a,986,a,b,4618,a(flip)),flip(a)]. 4621 x * R(y,x,y) = T(y * x,y). [para(4618(a,1),987(a,1,2))]. 4622 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4618(a,1),1961(a,1,2)),flip(a)]. 4623 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(4446(a,1),4618(a,1,3))]. 4624 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(19(a,1),4620(a,1,2,1)),flip(a)]. 4625 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4620(a,1),114(a,1,1)),flip(a)]. 4626 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4621(a,1),222(a,1,2)),flip(b)]. 4627 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4621(a,1),3735(a,2,1))]. 4628 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4621(a,1),4591(a,2,1))]. 4629 K(x \ T(x * y,x),x) = K(y,x). [hyper(255,a,1695,a(flip),b,4628,a),flip(a)]. 4630 K(x \ T(y,x),x) = K(x \ y,x). [para(19(a,1),4629(a,1,1,2,1))]. 4631 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(166(a,1),4630(a,1,1,2)),flip(a)]. 4632 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(4526(a,2),4631(a,1,1))]. 4633 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4632(a,1),4279(a,1,2)),flip(a)]. 4634 T(x,y) * T(T(y,z),x) = T(y,z) * T(x,y). [para(43(a,1),4465(a,1,2))]. 4635 T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4446(a,1),4491(a,1,2,1))]. 4636 (x \ T(x,x \ y)) \ y = (x \ y) * x. [hyper(255,a,127,a(flip),b,4530,a)]. 4637 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(128(a,1),4636(a,1,1,2))]. 4638 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(4637(a,1),70(a,1,2))]. 4639 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(255,a,4391,a,b,4638,a),flip(a)]. 4640 T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). [hyper(255,a,4460,a(flip),b,4537,a)]. 4641 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(255,a,4564,a(flip),b,4575,a)]. 4642 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4641(a,1),1355(a,1,1))]. 4643 x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. [hyper(255,a,1557,a(flip),b,4581,a),flip(a)]. 4644 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(255,a,1604,a,b,4582,a(flip)),flip(a)]. 4647 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(4601(a,1),354(a,1,1))]. 4648 T(x,(y \ x) * y) = x. [hyper(4250,a,4633,a)]. 4649 T((x \ y) * x,y) = (x \ y) * x. [hyper(40,a,4648,a)]. 4650 T(x * (y / x),y) = x * (y / x). [para(75(a,1),4648(a,1,2))]. 4651 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4650(a,2),4639(a,1,1))]. 4652 L(T(x,y),T(z,x),z / T(z,x)) * z = (z / T(z,x)) * (T(x,y) * T(z,x)). [para(4634(a,1),676(a,1,2)),flip(a)]. 4653 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(4243(a,1),4651(a,1,1,1)),flip(a)]. 4654 R(T(T(x,y),(x \ z) * x),x \ z,x) = T((x \ z) \ z,y). [para(4570(a,2),4577(a,1,1))]. 4656 ((x \ y) / y) * (x * (y / x)) = y / x. [para(4647(a,1),713(a,1,2))]. 4657 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(255,a,4111,a(flip),b,4429,a)]. 4658 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(255,a,4446,a(flip),b,4657,a(flip))]. 4659 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(255,a,4446,a(flip),b,4658,a(flip))]. 4660 T(x,y / (z * y)) = T(x,z \ 1). [para(18(a,1),4659(a,1,2,1))]. 4661 T(x,(y / z) \ 1) = T(x,z / y). [para(73(a,1),4659(a,1,2,1)),flip(a)]. 4665 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4661(a,1),4274(a,1,1,2))]. 4666 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(542(a,1),4468(a,1,2))]. 4667 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(255,a,4554,a(flip),b,4666,a)]. 4669 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4563(a,2),4667(a,1,2))]. 4670 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(255,a,561,a,b,4669,a(flip)),flip(a)]. 4672 L(x,T(y,x),x) = L(x,y,x). [hyper(4600,a,4670,a),flip(a)]. 4673 (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(4469(a,1),176(a,1,1,2))]. 4674 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4451(a,1),4469(a,1,2)),flip(a)]. 4675 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4496(a,1),4469(a,1,2)),flip(a)]. 4676 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4525(a,1),4469(a,1,2)),flip(a)]. 4678 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4454(a,1),4527(a,1,2,2,1))]. 4679 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4678(a,1),19(a,1,2)),flip(a)]. 4680 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(4237,a,4679,a)]. 4681 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(255,a,4255,a,b,4680,a(flip)),flip(a)]. 4682 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(255,a,3702,a(flip),b,4681,a)]. 4683 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(255,a,3723,a,b,4682,a(flip)),flip(a)]. 4684 K((1 / x) * y,x) = K(x \ y,x). [para(18(a,1),4683(a,1,1,2)),flip(a)]. 4685 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(37(a,2),4684(a,2,1))]. 4686 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(70(a,1),4684(a,1,1,1)),flip(a)]. 4687 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(856(a,1),4685(a,1,1))]. 4688 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(255,a,3724,a(flip),b,4687,a(flip)),flip(a)]. 4689 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4688(a,1),4607(a,1,1))]. 4690 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4615,a,4689,a),flip(a)]. 4691 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [hyper(255,a,3550,a(flip),b,4690,a(flip))]. 4692 K(x,x \ ((x \ 1) \ y)) = K(x,y). [para(19(a,1),4690(a,1,2)),flip(a)]. 4694 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(23,a,1676,a(flip),b,4572,a)]. 4695 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [para(4694(a,1),21(a,1,1))]. 4697 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1684(a,1),4573(a,1,2))]. 4698 T(x,y) * (y / T(x,y)) = x * (y / x). [para(4456(a,1),4697(a,1,2))]. 4699 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4698(a,1),24(a,1)),flip(a)]. 4700 (T(x,y \ 1) / (y \ x)) \ x = (x \ (y \ x)) * x. [para(4598(a,2),73(a,1,1))]. 4701 (x * (y / x)) * (y / (y / x)) = y * x. [para(73(a,1),4617(a,2,2))]. 4702 (x * y) * ((y * x) / ((y * x) / x)) = (y * x) * x. [para(20(a,1),4701(a,1,1,2))]. 4703 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [para(3371(a,1),4700(a,1,1,1))]. 4704 (x * y) * ((y * x) / y) = (y * x) * x. [para(20(a,1),4702(a,1,2,2))]. 4705 x * (((y \ x) * y) / (y \ x)) = ((y \ x) * y) * y. [hyper(519,a,4704,a)]. 4706 ((x \ y) * x) * x = y * (y / (y / x)). [para(4524(a,1),4705(a,1,2)),flip(a)]. 4707 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(4458(a,1),4706(a,1,1,1))]. 4709 T(x,y) \ T(x * y,y) = R(y,x,y). [para(4589(a,1),4528(a,1,1))]. 4710 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(37(a,1),4709(a,1,1))]. 4711 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(255,a,4622,a(flip),b,4674,a)]. 4712 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4711(a,1),4625(a,1,2))]. 4714 R(x,y / x,x) = R(x,x \ y,x). [hyper(23,a,4675,a,b,4676,a),flip(a)]. 4715 R(x,x \ (y \ x),x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [hyper(255,a,4189,a(flip),b,4714,a(flip))]. 4716 R(x,(x * y) / x,x) = R(x,y,x). [para(18(a,1),4714(a,2,2))]. 4717 R(x,T(y,x),x) = R(x,y,x). [para(167(a,1),4716(a,1,2)),flip(a)]. 4718 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(255,a,4623,a,b,4717,a(flip)),flip(a)]. 4719 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4718(a,1),51(a,1,1)),flip(a)]. 4720 (x \ T(y,x \ 1)) * y = (x \ y) * T(y,x \ 1). [para(4409(a,1),4587(a,1,2)),flip(a)]. 4721 L(x,K(y,z),L(y,u,w)) = x. [hyper(422,a,4612,a)]. 4722 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3324(a,1),4612(a,1,1))]. 4723 L(x,K(y,z),y) = x. [para(319(a,1),4721(a,1,3))]. 4729 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(255,a,1574,a(flip),b,4643,a(flip))]. 4730 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4719(a,1),4486(a,1,1)),flip(a)]. 4731 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(255,a,627,a(flip),b,4541,a)]. 4732 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(4540(a,2),4731(a,1,2))]. 4733 ((x \ y) * x) * T((x \ y) \ y,z) = (T(x,z) * (x \ y)) * x. [para(4654(a,1),573(a,1,2))]. 4734 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(20(a,1),4665(a,1,1,2,2))]. 4735 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(255,a,3170,a(flip),b,4734,a(flip))]. 4736 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4735(a,1),4093(a,1,1))]. 4737 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(4113,a,4736,a)]. 4739 T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). [para(167(a,1),4737(a,1,3)),flip(a)]. 4740 L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). [hyper(537,a,4739,a)]. 4741 L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). [hyper(255,a,3212,a(flip),b,4740,a(flip)),flip(a)]. 4742 R(x,x \ (y \ x),x) = ((y \ x) * T(x,y \ 1)) / (y \ x). [para(4720(a,1),4715(a,2,1))]. 4743 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(4341(a,1),4363(a,2,2))]. 4744 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(3072(a,1),4364(a,1,2))]. 4745 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(255,a,3552,a(flip),b,4744,a(flip))]. 4746 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(4516(a,2),4470(a,1))]. 4747 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(255,a,4342,a(flip),b,4533,a)]. 4748 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [para(4695(a,1),4707(a,1,1))]. 4749 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [hyper(4571,a,4748,a),flip(a)]. 4750 x / (x / T(y,x)) = T(x / (x / y),x). [hyper(22,a,4596,a,b,4749,a)]. 4751 T(x / (x / y),x) \ x = x / T(y,x). [para(4750(a,1),73(a,1,1))]. 4752 x / T(y \ x,x) = T(x / y,x) \ x. [para(70(a,1),4751(a,1,1,1,2)),flip(a)]. 4753 ((x \ y) * x) * T(T(x,x \ y),z) = (T(x,z) * (x \ y)) * x. [para(128(a,2),4733(a,1,2,1))]. 4754 (x * y) * T(T(y,y \ (y * x)),z) = (T(y,z) * (y \ (y * x))) * y. [para(18(a,1),4753(a,1,1,1))]. 4755 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4735(a,1),4393(a,1,1))]. 4756 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(4394,a,4755,a),flip(a)]. 4758 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(4368,a,4755,a),flip(a)]. 4759 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [hyper(255,a,4444,a,b,4755,a)]. 4761 x \ (y * (T(y,z) \ x)) = T(T(y,z) \ y,x). [hyper(172,a,4756,a,b,19,a),flip(a)]. 4762 T(x,y) * (x \ z) = y * (T(y,x) \ z). [hyper(255,a,4444,a,b,4756,a(flip)),flip(a)]. 4763 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(255,a,4729,a(flip),b,4756,a(flip))]. 4764 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(255,a,4581,a(flip),b,4756,a(flip)),flip(a)]. 4768 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(80,a,19,a(flip),b,4758,a)]. 4769 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(255,a,4444,a,b,4758,a(flip)),flip(a)]. 4770 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(80,a,4758,a(flip),b,4389,a),flip(a)]. 4771 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4758(a,1),4443(a,1,2)),flip(a)]. 4772 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(80,a,4736,a(flip),b,4759,a(flip)),flip(a)]. 4773 K(x \ (x / (y \ (z \ y))),x) = y \ (x * (T(x,z) \ y)). [para(4762(a,1),1561(a,2,2))]. 4774 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(255,a,112,a,b,4771,a)]. 4775 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(4764(a,1),958(a,1))]. 4776 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(4126,a,4770,a),flip(a)]. 4777 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(255,a,1081,a(flip),b,4772,a)]. 4778 ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). [hyper(255,a,1603,a(flip),b,4777,a(flip)),flip(a)]. 4779 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(367,a,4774,a),flip(a)]. 4780 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(22,a,4485,a,b,4774,a(flip)),flip(a)]. 4781 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(129(a,1),4780(a,1,2))]. 4782 L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). [para(4463(a,1),4781(a,1,3))]. 4783 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(674,a,4776,a),flip(a)]. 4784 K(x \ (x / (y \ (z \ y))),x) = T(T(x,z) \ x,y). [hyper(255,a,4761,a(flip),b,4773,a)]. 4785 T(x,(y \ (z \ y)) \ 1) \ x = T(T(x,z) \ x,y). [hyper(255,a,4431,a(flip),b,4784,a(flip)),flip(a)]. 4786 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4771(a,1),4482(a,1,1))]. 4787 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(636,a,4786,a),flip(a)]. 4788 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4786(a,1),636(a,1))]. 4789 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(255,a,461,a(flip),b,4730,a)]. 4790 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1318(a,1),4789(a,1,1))]. 4791 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(255,a,4622,a(flip),b,4790,a(flip))]. 4792 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(4791(a,1),222(a,1,2))]. 4793 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4640(a,1),4635(a,1,1))]. 4794 T(x,T(y,T(x,z))) = T(x,y). [hyper(255,a,4491,a(flip),b,4793,a(flip))]. 4797 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(188(a,1),4794(a,1,2,2))]. 4800 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(4797(a,1),4594(a,1,1))]. 4801 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4747(a,1),4653(a,1,2)),flip(a)]. 4802 ((x \ y) * x) / y = y / (x * (y / x)). [para(4649(a,1),4801(a,1,1))]. 4803 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(255,a,4580,a(flip),b,4802,a)]. 4804 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(255,a,4319,a,b,4803,a(flip)),flip(a)]. 4805 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4804(a,1),4293(a,2,2))]. 4806 L(x,T(y,y \ z) \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). [hyper(255,a,3214,a,b,4741,a(flip))]. 4807 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3359(a,1),4745(a,1,1)),flip(a)]. 4808 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4807(a,1),3537(a,1,2))]. 4809 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4808(a,1),260(a,1,1)),flip(a)]. 4810 (T(x,y) * (x \ (x * z))) * x = (z * x) * T(T(x,z),y). [para(18(a,1),4754(a,1,2,1,2)),flip(a)]. 4811 (x * y) * T(T(y,x),z) = (T(y,z) * x) * y. [para(18(a,1),4810(a,1,1,2)),flip(a)]. 4812 (x * y) * T(T(y,z),x) = (T(y,z) * x) * y. [para(43(a,1),4811(a,1,2))]. 4813 L(K(x,y) \ T(T(x,y),z),K(x,y),y * x) = (x * y) \ ((T(x,z) * y) * x). [para(4811(a,1),444(a,2,2))]. 4814 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(868,a,4812,a)]. 4815 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(255,a,4768,a(flip),b,4434,a(flip)),flip(a)]. 4816 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(4792,a,4712,a)]. 4817 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(255,a,4743,a(flip),b,4815,a(flip)),flip(a)]. 4818 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4769(a,1),4817(a,1,2)),flip(a)]. 4819 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(255,a,190,a(flip),b,4818,a)]. 4821 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(255,a,3975,a(flip),b,4819,a(flip))]. 4823 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4821(a,1),3730(a,2,2))]. 4824 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(73(a,1),4732(a,2,1,2))]. 4825 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(1188,a,4627,a),flip(a)]. 4826 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2270(a,1),4825(a,1,1)),flip(a)]. 4827 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(81,a,4826,a(flip),b,1182,a)]. 4829 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(2694(a,1),4827(a,1,1))]. 4832 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(255,a,4809,a(flip),b,4823,a)]. 4833 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(4281,a,4832,a)]. 4835 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(255,a,97,a(flip),b,4833,a)]. 4837 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4835(a,1),3209(a,1,2))]. 4838 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4837(a,1),4295(a,1,2)),flip(a)]. 4840 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(255,a,2913,a(flip),b,4838,a)]. 4844 R(x,K(y \ 1,y),z) = x. [para(19(a,1),4840(a,1,3))]. 4847 R(x,y,K(z \ 1,z)) = x. [hyper(255,a,4046,a(flip),b,4844,a(flip)),flip(a)]. 4848 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4844(a,1),122(a,1,1)),flip(a)]. 4849 R(x,K(y,y \ 1),z) = x. [para(1449(a,1),4844(a,1,2))]. 4854 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [hyper(255,a,4028,a(flip),b,4847,a(flip))]. 4855 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(255,a,3999,a(flip),b,4847,a(flip)),flip(a)]. 4856 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(255,a,3949,a(flip),b,4847,a(flip))]. 4857 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(255,a,3013,a(flip),b,4847,a(flip))]. 4858 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(255,a,2933,a(flip),b,4847,a(flip))]. 4860 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4847(a,1),122(a,1,1)),flip(a)]. 4861 (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). [para(4847(a,1),379(a,1,1)),flip(a)]. 4862 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4847(a,1),451(a,1,1))]. 4864 R(x,y,K(z,z \ 1)) = x. [para(1449(a,1),4847(a,1,3))]. 4866 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4847(a,1),2284(a,1,1))]. 4867 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [para(4849(a,1),122(a,1,1)),flip(a)]. 4874 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(255,a,3932,a(flip),b,4864,a(flip))]. 4875 K(x,x \ 1) / (K(x,x \ 1) * y) = 1 / y. [hyper(255,a,2274,a(flip),b,4864,a(flip)),flip(a)]. 4876 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4864(a,1),122(a,1,1)),flip(a)]. 4877 (x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1). [para(4864(a,1),379(a,1,1)),flip(a)]. 4878 x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1). [para(4864(a,1),451(a,1,1))]. 4879 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4864(a,1),2275(a,1,1))]. 4882 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(2511(a,1),4856(a,1,2))]. 4886 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(3077(a,1),4856(a,1,2))]. 4887 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(3092(a,1),4856(a,1,2))]. 4888 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(3098(a,1),4856(a,1,2)),flip(a)]. 4889 T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). [para(3205(a,1),4856(a,1,2)),flip(a)]. 4891 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4857(a,1),122(a,1,1))]. 4894 T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). [hyper(255,a,3863,a(flip),b,4874,a)]. 4896 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2272(a,1),4874(a,1,2))]. 4897 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(3028(a,1),4874(a,1,2))]. 4899 T(x,y * (z * K(u,u \ 1))) = T(x,y * z). [para(3888(a,1),4874(a,1,2))]. 4901 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4854(a,1),4763(a,1,2,1))]. 4902 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(255,a,629,a(flip),b,4886,a(flip))]. 4903 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(3435(a,2),4886(a,1,2,1))]. 4905 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(3174(a,1),4888(a,2,2))]. 4906 K((x \ 1) * y,x \ y) = 1. [hyper(41,a,4902,a)]. 4907 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(2271,a,4861,a)]. 4910 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. [para(2924(a,1),4875(a,1,2)),flip(a)]. 4911 (x \ K(y,y \ 1)) * y = (x \ 1) * ((y \ 1) \ 1). [para(4877(a,1),2900(a,1,1))]. 4912 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(2910(a,1),4899(a,1,2,2))]. 4913 T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). [para(4910(a,1),3863(a,1,2,1)),flip(a)]. 4915 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(255,a,3958,a(flip),b,4848,a(flip)),flip(a)]. 4930 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2263(a,2),4855(a,1,2))]. 4932 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(2871(a,1),4858(a,2,2))]. 4933 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(2697,a,4860,a)]. 4934 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2271,a,4860,a)]. 4935 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(422,a,4860,a)]. 4938 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4860(a,1),3958(a,1,1))]. 4939 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4860(a,1),3992(a,1,1))]. 4940 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(255,a,1430,a,b,4933,a(flip)),flip(a)]. 4945 L(K(x \ y,y \ x),z,u) = K((y \ x) \ 1,y \ x). [para(2789(a,1),4935(a,1,1))]. 4950 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(255,a,3933,a,b,4862,a(flip)),flip(a)]. 4951 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(691(a,1),4862(a,1,2)),flip(a)]. 4952 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(4016(a,1),4951(a,1,2))]. 4953 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4951(a,1),4856(a,1,2)),flip(a)]. 4954 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(255,a,2263,a,b,4866,a)]. 4955 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [hyper(255,a,3925,a(flip),b,4867,a(flip)),flip(a)]. 4958 K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). [hyper(3889,a,4876,a)]. 4960 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(422,a,4876,a)]. 4964 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(80,a,4958,a(flip),b,1448,a(flip))]. 4966 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(80,a,4964,a(flip),b,1463,a(flip)),flip(a)]. 4967 (K(x \ 1,x) * y) \ z = (y \ z) * K(x,x \ 1). [hyper(255,a,4006,a,b,4878,a(flip)),flip(a)]. 4969 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(255,a,2247,a,b,4879,a)]. 4970 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2938,a,4915,a)]. 4973 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(K(z \ 1,z) * u,y,x). [para(4915(a,2),33(a,2,2,2)),flip(a)]. 4978 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4915(a,1),4866(a,1,2))]. 4979 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u * K(z \ 1,z),y,x). [para(4934(a,2),33(a,2,2,2)),flip(a)]. 4981 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(255,a,2263,a,b,4950,a)]. 4982 T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). [para(4950(a,2),4856(a,1,2))]. 4983 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(2936(a,1),4982(a,1,2,1))]. 4985 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [hyper(255,a,4004,a(flip),b,4954,a(flip))]. 4987 (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(4955(a,2),29(a,2,2,1)),flip(a)]. 4990 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2936(a,1),4955(a,2,2))]. 4991 K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). [para(2937(a,1),4955(a,2,2))]. 4993 x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). [para(4955(a,1),4879(a,1,2))]. 4994 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(4955(a,1),4950(a,1,1))]. 4995 (K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z). [hyper(255,a,2247,a,b,4967,a)]. 4997 x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. [para(4969(a,2),2253(a,1))]. 5000 K(x \ 1,x) * ((y * x) \ z) = (y * ((x \ 1) \ 1)) \ z. [para(2898(a,1),4981(a,1,1)),flip(a)]. 5001 K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. [para(4052(a,1),4981(a,1,1)),flip(a)]. 5002 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [para(3050(a,1),4995(a,1,1)),flip(a)]. 5003 K((x \ y) \ 1,x \ y) != z | K(y \ x,x \ y) = z. [para(4945(a,1),323(a,1)),flip(b)]. 5004 L(K(x \ y,y \ x),z,u) != w | K(x \ y,y \ x) = w. [para(4945(a,2),5003(a,1))]. 5005 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(4775,a,4901,a)]. 5006 T(x * (y / x),z) = x * (T(y,z) / x). [para(5005(a,1),19(a,1,2)),flip(a)]. 5007 T(x * y,z) / y = y \ T(y * x,z). [para(20(a,1),5005(a,1,2,1,2)),flip(a)]. 5008 (x \ T(x * (y / x),z)) * x = T(y,z). [para(5005(a,2),21(a,1,1))]. 5009 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(70(a,1),5005(a,1,2,1,2))]. 5011 T((x \ y) * x,z) / x = x \ T(y,z). [para(69(a,1),5005(a,1,2,1)),flip(a)]. 5012 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [para(5005(a,1),170(a,1,2,2))]. 5016 x * (T(y * x,z) / x) = T(x * y,z). [para(20(a,1),5006(a,1,1,2)),flip(a)]. 5021 T(x * (y / x),K(y,z)) = x * (y / x). [para(3316(a,1),5006(a,2,2,1))]. 5022 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(4463(a,1),5006(a,2,2,1))]. 5024 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(255,a,848,a,b,5007,a),flip(a)]. 5025 (x \ T(x * y,z)) * x = T(y * x,z). [para(5007(a,1),21(a,1,1))]. 5026 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(5007(a,1),129(a,1,1))]. 5027 T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,z). [para(104(a,1),5007(a,2,2,1))]. 5028 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(5007(a,1),4249(a,1,2))]. 5029 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). [hyper(255,a,2945,a,b,5008,a(flip)),flip(a)]. 5030 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(69(a,1),5008(a,1,1,2,1)),flip(a)]. 5037 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(5016(a,1),4567(a,1,2)),flip(a)]. 5039 T(K(x,y),z * (x / z)) = K(x,y). [hyper(40,a,5021,a)]. 5040 T(K(x * y,z),y * x) = K(x * y,z). [para(20(a,1),5039(a,1,2,2))]. 5046 T(x,y) \ T((z \ x) * z,y) = K(z \ T(x,y),z). [hyper(80,a,5030,a,b,263,a)]. 5047 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(5030(a,2),25(a,1))]. 5048 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(5030(a,1),127(a,1,2))]. 5050 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(129(a,1),5030(a,2,1,2))]. 5052 ((x * T((y \ z) * y,x)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(5030(a,2),4329(a,1,1,1,2))]. 5053 K(x * y,z) * (y * x) = (y * x) * K(x * y,z). [para(5040(a,1),127(a,1,2)),flip(a)]. 5055 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(129(a,1),5012(a,1,2,2,1)),flip(a)]. 5057 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(129(a,1),5048(a,1,2,1,2)),flip(a)]. 5059 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(5050(a,1),167(a,1,1,2))]. 5060 (x \ y) \ T((x \ y) * x,x) = (y * x) / y. [hyper(255,a,1116,a(flip),b,5009,a)]. 5061 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(255,a,5006,a,b,5022,a)]. 5062 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1780(a,1),5024(a,2,1,1))]. 5063 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(2938,a,5029,a),flip(a)]. 5064 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [hyper(2931,a,5029,a),flip(a)]. 5067 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(255,a,4330,a(flip),b,5055,a(flip))]. 5068 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(162(a,2),5055(a,2,2,2,1))]. 5069 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(255,a,4065,a,b,5057,a(flip)),flip(a)]. 5070 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(163(a,2),5057(a,1,1,1,2))]. 5071 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(18(a,1),5059(a,1,1,2,1,2))]. 5072 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(5059(a,1),226(a,1,1)),flip(b)]. 5073 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(255,a,4661,a,b,5061,a(flip)),flip(a)]. 5075 T(x * K(y,y \ 1),z) = K(y,y \ 1) * T(x,z). [para(2247(a,1),5063(a,1,1))]. 5078 T(((x \ 1) \ 1) \ y,z) * K(x,x \ 1) = T(x \ y,z). [para(3036(a,1),5064(a,1,1)),flip(a)]. 5079 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(4551,a,5071,a),flip(a)]. 5080 (x \ ((y * (x * z)) / y)) * x = (y * (z * x)) / y. [para(18(a,1),5071(a,1,1,2,1)),flip(a)]. 5081 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * ((z * (((x * z) / x) \ y)) / z). [hyper(255,a,2736,a,b,5080,a)]. 5082 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(3347(a,1),4905(a,1,2))]. 5083 (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). [para(1454(a,1),4932(a,1,1)),flip(a)]. 5085 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4940(a,1),19(a,1,2))]. 5086 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(255,a,1400,a,b,5028,a(flip)),flip(a)]. 5087 T(x,T(((y \ 1) \ 1) \ z,u)) = T(x,T(y \ z,u)). [para(5078(a,1),4874(a,1,2)),flip(a)]. 5088 T(x,T((1 / y) \ z,u)) = T(x,T((y \ 1) \ z,u)). [para(73(a,1),5087(a,1,2,1,1,1)),flip(a)]. 5089 (L(x,y,z) \ 1) * T(x,x \ 1) = L(x,y,z) \ x. [hyper(2880,a,5085,a)]. 5090 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(5085(a,1),2831(a,1,1))]. 5091 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4891(a,1),25(a,1))]. 5094 T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). [para(4054(a,2),4894(a,1,2))]. 5095 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(81,a,4938,a(flip),b,122,a)]. 5096 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(4014,a,4939,a),flip(a)]. 5097 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(23,a,3092,a,b,4952,a)]. 5098 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(255,a,3811,a(flip),b,5097,a)]. 5099 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(33(a,2),4978(a,2,1))]. 5100 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). [hyper(636,a,4993,a),flip(a)]. 5101 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(5072,a,5086,a)]. 5103 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). [para(3937(a,1),5094(a,1,2,1))]. 5104 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(255,a,4979,a(flip),b,5099,a(flip)),flip(a)]. 5105 L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). [hyper(255,a,4973,a(flip),b,5099,a(flip)),flip(a)]. 5108 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [hyper(255,a,2263,a,b,5105,a)]. 5110 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(2913(a,1),5108(a,1,1)),flip(a)]. 5111 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(2938,a,5110,a),flip(a)]. 5112 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(2931,a,5110,a),flip(a)]. 5113 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(255,a,2992,a(flip),b,5110,a(flip)),flip(a)]. 5115 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(20(a,1),5113(a,1,1,2,1,2))]. 5116 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(5113(a,1),69(a,1,2,1)),flip(a)]. 5117 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(69(a,1),5113(a,1,1,2,1)),flip(a)]. 5118 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(5117(a,1),112(a,1,2))]. 5119 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(437(a,1),5117(a,2,1,2))]. 5120 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(439(a,1),5117(a,2,1,2))]. 5122 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(1522(a,1),5111(a,1,1)),flip(a)]. 5123 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [para(5111(a,2),4879(a,1,2))]. 5124 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(255,a,1543,a(flip),b,5122,a(flip)),flip(a)]. 5125 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(128(a,1),5124(a,2,1))]. 5127 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(87,a,5125,a)]. 5129 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(255,a,1279,a,b,5127,a(flip)),flip(a)]. 5131 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2476,a,5129,a)]. 5132 L(x,y,z) / x = x \ L(x,y,z). [hyper(96,a,5131,a)]. 5133 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(87,a,5131,a)]. 5134 (1 / x) * L(x,y,z) = x \ L(x,y,z). [hyper(255,a,1040,a,b,5132,a(flip)),flip(a)]. 5137 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(5133(a,1),398(a,1,2,1)),flip(a)]. 5138 T(1 / x,L(x,y,z)) = x \ 1. [hyper(172,a,5134,a,b,1153,a)]. 5139 K(x,T(y \ 1,L(y,z,u))) = K(x,y \ 1). [para(5138(a,1),3710(a,1,2)),flip(a)]. 5140 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1457(a,1),5112(a,1,1)),flip(a)]. 5141 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(5140(a,1),3973(a,1,1)),flip(a)]. 5142 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(5140(a,1),3980(a,1,1))]. 5143 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [hyper(80,a,5137,a(flip),b,1078,a)]. 5144 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(255,a,1438,a(flip),b,5141,a(flip)),flip(a)]. 5145 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(241(a,1),5118(a,1,2,1,2))]. 5146 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(80,a,5119,a(flip),b,190,a),flip(a)]. 5147 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(255,a,5101,a(flip),b,5146,a(flip)),flip(a)]. 5149 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(5147(a,1),226(a,1,1)),flip(b)]. 5151 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(255,a,4805,a(flip),b,5120,a(flip))]. 5152 x * (y \ (x / (x / y))) = (y \ (1 \ x)) * y. [para(17(a,1),5151(a,1,1,2,2)),flip(a)]. 5153 x * (y \ (x / (x / y))) = (y \ x) * y. [para(59(a,1),5152(a,2,1,2))]. 5154 x \ (y / (y / x)) = K(x \ y,x). [hyper(22,a,263,a,b,5153,a)]. 5155 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(255,a,4804,a,b,5154,a(flip)),flip(a)]. 5156 x / (y * (x / y)) = K(y \ x,y). [hyper(255,a,4580,a,b,5154,a(flip)),flip(a)]. 5158 x / (x / y) = y * K(y \ x,y). [para(5154(a,1),19(a,1,2)),flip(a)]. 5161 T(K(x \ y,x),y) = K(x \ y,x). [para(5154(a,1),4386(a,1,1))]. 5162 K(x \ y,x) * (x * (y / x)) = y. [para(5156(a,1),21(a,1,1))]. 5164 x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). [hyper(255,a,3174,a(flip),b,5158,a),flip(a)]. 5165 (x * y) / ((x * y) / x) = x * K(y,x). [para(18(a,1),5158(a,2,2,1))]. 5169 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(5158(a,1),4593(a,1,1))]. 5170 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(4630(a,1),5158(a,2,2))]. 5171 T(x,K(y \ x,y)) = x. [hyper(40,a,5161,a)]. 5172 T(x * y,K(y,x)) = x * y. [para(18(a,1),5171(a,1,2,1))]. 5173 K(x,y) \ (x * y) = y * x. [hyper(255,a,270,a,b,5172,a(flip)),flip(a)]. 5174 K(x,y) = (x * y) / (y * x). [para(5172(a,1),271(a,1,2)),flip(a)]. 5175 K(x,y) * (y * x) = x * y. [para(5173(a,1),19(a,1,2))]. 5176 x * (y * z) != z * y | K(z,y) = x. [para(5173(a,1),94(a,1,2)),flip(b)]. 5177 K(x,y) = T(y,x) \ y. [hyper(255,a,4379,a(flip),b,5174,a)]. 5178 K(x \ y,x) * y = (x \ y) * x. [para(5174(a,2),260(a,1,1))]. 5179 K(x \ (x / y),x) = K(y \ 1,x). [hyper(255,a,4431,a,b,5177,a),flip(a)]. 5180 K(x,y) = ((y * x) / y) \ x. [hyper(255,a,4085,a,b,5177,a)]. 5181 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(255,a,3290,a,b,5177,a),flip(a)]. 5182 K(x,y) = y / T(y,x). [hyper(255,a,3128,a,b,5177,a)]. 5183 K(x,y) = (1 / T(y,x)) * y. [hyper(255,a,3127,a,b,5177,a)]. 5184 K(x,y) = y * (T(y,x) \ 1). [hyper(255,a,1083,a,b,5177,a)]. 5185 T(T(x,y) \ x,z) = K((z \ (y \ z)) \ 1,x). [hyper(255,a,4785,a(flip),b,5177,a),flip(a)]. 5186 K(x,y) = x \ T(x,y). [hyper(255,a,4439,a(flip),b,5177,a)]. 5187 x * T(x \ 1,y) = K(x \ 1,y). [hyper(255,a,4430,a(flip),b,5177,a),flip(a)]. 5188 K(T(x,y),y) = x \ T(x,y). [hyper(255,a,4087,a(flip),b,5177,a)]. 5189 x \ (T(1 / x,y) \ 1) = K(y,x \ 1). [hyper(255,a,3390,a(flip),b,5177,a),flip(a)]. 5190 K(x,y) / y = 1 / T(y,x). [hyper(81,a,5177,a,b,3127,a)]. 5191 K(x,y) / ((y \ 1) \ 1) = T(y,x) \ 1. [hyper(81,a,5177,a,b,2297,a)]. 5192 T(x,y) \ 1 = x \ K(y,x). [hyper(80,a,5177,a,b,1083,a),flip(a)]. 5194 T(x,y) * K(y,x) = x. [para(5177(a,2),19(a,1,2))]. 5195 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(45(a,2),5177(a,2,1)),flip(a)]. 5196 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(47(a,2),5177(a,2,1)),flip(a)]. 5197 T(x,y) = x / K(y,x). [para(5177(a,2),70(a,1,2)),flip(a)]. 5199 x * K(y,z) != z | T(z,y) = x. [para(5177(a,2),94(a,1,2)),flip(b)]. 5201 x / K(y,x) != z | T(x,y) = z. [para(5177(a,2),303(a,1,2)),flip(b)]. 5202 L(K(x,y),T(y,x),z) = (z * T(y,x)) \ (z * y). [para(5177(a,2),114(a,1,1))]. 5203 ((x \ y) \ y) * K(x \ y,x) = x. [para(5177(a,2),312(a,1,2))]. 5204 T(x,y) = (x * K(y,x)) \ (x * x). [para(5177(a,2),1587(a,1,1,2)),flip(a)]. 5205 K((1 / x) \ y,y) = T(y,y * x) \ y. [para(1991(a,1),5177(a,2,1))]. 5206 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(5177(a,2),2704(a,1,2))]. 5207 K(x,y) * T(y,x) = y. [para(5177(a,2),3133(a,1,1))]. 5208 T(x,y) = K(y,x) \ x. [para(5177(a,2),3134(a,1,1)),flip(a)]. 5209 K(x,y) * (y \ 1) = T(y,x) \ 1. [para(5177(a,2),3394(a,1,1))]. 5210 K(x \ K(x,y),x) = K(x \ 1,x). [para(5177(a,2),3669(a,1,1,2))]. 5211 K(x,y) * ((y * x) / y) = x. [para(5177(a,2),4086(a,1,1))]. 5212 x * K(T(x,y),y) = T(x,y). [para(5177(a,2),4088(a,1,2))]. 5213 ((x * y) / x) \ x = y \ (x * K(y,x)). [para(5177(a,2),4239(a,1,2,2)),flip(a)]. 5214 x * (((y * x) / y) \ z) = K(x,y) * z. [para(5177(a,2),4389(a,2,1))]. 5215 K(x,y) = T(y,T(x,y)) \ y. [para(4446(a,2),5177(a,2,1))]. 5216 T(x * K(y,x),y) = x. [para(5177(a,2),4473(a,1,1,2))]. 5217 (x * y) / x = y * K(x,y). [para(5177(a,2),4442(a,2,2))]. 5219 K(x * (1 / y),x) = T(x,y \ x) \ x. [para(4566(a,1),5177(a,2,1))]. 5220 x * (K(x,y) * z) = T(x,y) * z. [para(5177(a,2),4443(a,1,2,1))]. 5221 T(x,y) * (x \ z) = K(x,y) * z. [para(5177(a,2),4444(a,2,1))]. 5222 K(x / y,z) * x = y * T(y \ x,z). [para(5177(a,2),4581(a,1,1))]. 5223 K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z). [para(5177(a,2),4436(a,1,1)),flip(a)]. 5224 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(5177(a,2),4437(a,1,2)),flip(a)]. 5225 x * (T(x,y) \ z) = K(y,x) * z. [para(5177(a,2),4756(a,1,1)),flip(a)]. 5226 K(x,y) * (T(y,x) * z) = y * z. [para(5177(a,2),4758(a,1,1))]. 5227 K(x,y) \ y != z | T(y,x) = z. [para(5182(a,2),219(a,1,1)),flip(b)]. 5230 (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). [para(5182(a,2),2316(a,1,2))]. 5231 L(T(x,y),T(z,x),z / T(z,x)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(5182(a,2),4652(a,2,1))]. 5232 K(x * K(y,y \ 1),z) = z / T(z,x). [para(4874(a,1),5182(a,2,2))]. 5233 (x * T(x \ y,z)) / y = K(y / x,z). [hyper(255,a,4375,a,b,5186,a),flip(a)]. 5234 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(255,a,4251,a,b,5186,a),flip(a)]. 5236 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(255,a,4083,a,b,5186,a)]. 5237 K(x,y) = ((x * y) / x) / y. [hyper(255,a,4079,a,b,5186,a)]. 5238 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(255,a,4078,a,b,5186,a),flip(a)]. 5239 K(x,y) = y \ ((x * y) / x). [hyper(255,a,4074,a,b,5186,a)]. 5240 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(255,a,3239,a,b,5186,a)]. 5241 K(x,y) = (1 / x) * T(x,y). [hyper(255,a,3238,a,b,5186,a)]. 5242 K(x,y) = T(x,y) / x. [hyper(255,a,3234,a,b,5186,a)]. 5243 K(x,y) = T(x,y) * (x \ 1). [hyper(255,a,927,a,b,5186,a)]. 5244 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [hyper(255,a,4236,a(flip),b,5186,a),flip(a)]. 5248 x \ K(y,x \ 1) = (y * (x \ 1)) / y. [hyper(80,a,5186,a,b,4078,a)]. 5249 T(x,y) \ K(x,y) = x \ 1. [hyper(80,a,5186,a,b,927,a)]. 5250 x \ T(x,y \ 1) = K(x,1 / y). [hyper(255,a,3707,a,b,5186,a(flip))]. 5252 T(x,y) = x * K(x,y). [para(5186(a,2),19(a,1,2)),flip(a)]. 5253 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(45(a,2),5186(a,2,2)),flip(a)]. 5254 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(47(a,2),5186(a,2,2)),flip(a)]. 5255 x * K(x,y) != z | T(x,y) = z. [para(5186(a,2),220(a,1,2)),flip(b)]. 5256 (x * y) \ (x * T(y,z)) = L(K(y,z),y,x). [para(5186(a,2),114(a,1,1)),flip(a)]. 5260 L(K(x,y),x,z / x) = z \ ((z / x) * T(x,y)). [para(5186(a,2),440(a,1,1))]. 5261 (x * y) * T(K(y,x),z) = x * (y * T(K(y,x),z)). [para(5186(a,2),833(a,1,2,2,1)),flip(a)]. 5262 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1990(a,1),5186(a,2,2))]. 5263 T(x,y) = K(x,y) * x. [para(5186(a,2),3236(a,1,1)),flip(a)]. 5264 K(x,y) * x != z | T(x,y) = z. [para(5186(a,2),3241(a,1,1))]. 5265 (x * K(y,x)) * y = y * x. [para(5186(a,2),4069(a,1,1,2))]. 5266 T(x,y) * K(y,T(x,y)) = x. [para(5186(a,2),4072(a,1,2))]. 5267 (x * y) / x = K(x,y) * y. [para(5186(a,2),4080(a,1,1)),flip(a)]. 5268 (x \ y) * K(x,x \ y) = y / x. [para(5186(a,2),4071(a,1,2))]. 5269 x \ T(x,y \ x) = K(x,x / y). [para(4132(a,1),5186(a,2,2)),flip(a)]. 5271 K(x,x \ y) * y = x * (y / x). [para(5186(a,2),4342(a,1,1))]. 5272 K(x,y) * (x * z) = T(x,y) * z. [para(5186(a,2),4343(a,1,1))]. 5273 x * (T(x,y) \ z) = K(x,y) \ z. [para(5186(a,2),4351(a,1,1)),flip(a)]. 5274 K(x,y) \ (T(x,y) * z) = x * z. [para(5186(a,2),4367(a,1,1))]. 5275 K(x,y) \ z != u | x * (T(x,y) \ z) = u. [para(5186(a,2),4394(a,1,1))]. 5277 (x / (x / y)) \ L(y,y \ x,y) = K(x / (x / y),x). [para(4593(a,1),5186(a,2,2)),flip(a)]. 5278 x \ T(x,y / (z * y)) = K(x,z \ 1). [para(4660(a,2),5186(a,2,2)),flip(a)]. 5279 K(x,y * K(z,z \ 1)) = x \ T(x,y). [para(4874(a,1),5186(a,2,2))]. 5281 T(x,y) \ x != z | K(y,x) = z. [para(5194(a,1),222(a,1,2)),flip(b)]. 5284 x * (y * K(x,y)) = T(x,y) * y. [para(5194(a,1),4771(a,1,2)),flip(a)]. 5286 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(3708(a,1),5197(a,2,2)),flip(a)]. 5288 K(x,y / x) * (x \ y) = y / x. [para(129(a,1),5207(a,1,2))]. 5290 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(255,a,4579,a,b,5208,a),flip(a)]. 5291 T(x,y) = 1 / (x \ K(y,x)). [hyper(255,a,3729,a,b,5208,a)]. 5292 T(x,y) = (K(y,x) / x) \ 1. [hyper(255,a,3700,a,b,5208,a)]. 5294 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(5208(a,2),2699(a,1,2,1))]. 5295 T(T(x * K(y,x),z),y) = T(x,z). [para(5216(a,1),43(a,1,1)),flip(a)]. 5296 (x * K(y,x)) \ (y * x) = y. [para(5216(a,1),168(a,1,2,2))]. 5298 T(x * K(y,x),z) * y = y * T(x,z). [para(5216(a,1),182(a,1,2,1)),flip(a)]. 5299 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(5216(a,1),205(a,1,1,2,1)),flip(a)]. 5300 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(5216(a,1),183(a,1,2,1)),flip(a)]. 5301 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(5216(a,1),184(a,1,2,1)),flip(a)]. 5302 T((x * (y * K(z,y))) / x,z) = (x * y) / x. [para(5216(a,1),404(a,1,1,2)),flip(a)]. 5303 ((x * K(y * z,x)) * y) * z = (y * z) * R(x,y,z). [para(5216(a,1),573(a,1,2,1)),flip(a)]. 5304 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(5216(a,1),2210(a,1,2,1)),flip(a)]. 5305 T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). [para(5216(a,1),2230(a,1,2,2)),flip(a)]. 5307 T(x \ K(y,x \ 1),y) = x \ 1. [para(3174(a,1),5216(a,1,1))]. 5308 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(5216(a,1),3376(a,1,2)),flip(a)]. 5309 T(K(x,y \ 1) / y,x) = 1 / y. [para(3718(a,1),5216(a,1,1))]. 5311 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(5216(a,1),4462(a,1,2,1)),flip(a)]. 5312 T(1 / x,y) * x = K(x \ 1,y). [hyper(255,a,665,a(flip),b,5242,a),flip(a)]. 5316 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(5242(a,2),874(a,1))]. 5318 T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). [hyper(81,a,5252,a,b,100,a)]. 5320 T(x,T(y,T(x,z))) = x * K(x,y). [hyper(255,a,4794,a,b,5252,a(flip)),flip(a)]. 5323 T(x,y) != x * z | K(x,y) = z. [para(5252(a,2),24(a,1))]. 5325 x \ T(x,y) != z | K(x,y) = z. [para(5252(a,2),222(a,1,2)),flip(b)]. 5328 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(5252(a,2),123(a,2,1))]. 5331 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(5252(a,2),454(a,2,2))]. 5333 (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). [para(5252(a,2),1929(a,1,1)),flip(a)]. 5334 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(3309(a,1),5252(a,2,2)),flip(a)]. 5335 (K(x,y) / R(x,z,u)) * x = T(x,y) / R(x,z,u). [hyper(81,a,5263,a,b,1953,a),flip(a)]. 5336 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(255,a,45,a,b,5263,a(flip))]. 5337 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(255,a,43,a,b,5263,a(flip))]. 5340 x * (K(y,x) * y) = y * x. [para(5263(a,1),127(a,1,2))]. 5345 L(x \ y,x,K(y,z)) = (K(y,z) * x) \ T(y,z). [para(5263(a,2),114(a,2,2))]. 5349 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(5263(a,2),431(a,1,2,2))]. 5350 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(5263(a,2),635(a,1,1))]. 5351 ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). [para(5263(a,2),877(a,1,2,1))]. 5353 T(x,y) != z | x * K(x,y) = z. [para(5263(a,2),3322(a,1))]. 5354 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(112(a,1),5175(a,1,2))]. 5355 (x * y) \ (K(x,y) * ((y * x) * z)) != u | L(z,y * x,K(x,y)) = u. [para(5175(a,1),431(a,1,1))]. 5356 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5175(a,1),424(a,1,1))]. 5357 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(5175(a,1),5027(a,1,1,1))]. 5359 K(x,y) = x * (((y * x) / y) \ 1). [hyper(255,a,1146,a,b,5180,a)]. 5360 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(80,a,5180,a,b,1146,a),flip(a)]. 5362 K(x,y) / x = 1 / ((y * x) / y). [para(5180(a,2),3279(a,1,1))]. 5363 K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). [hyper(81,a,2500,a(flip),b,5183,a(flip))]. 5365 K(x \ R(x,y,z),x) = (1 / x) * x. [para(4039(a,1),5183(a,2,1,2))]. 5366 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(5184(a,2),33(a,2,2,2)),flip(a)]. 5367 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(5184(a,2),113(a,1,2,2)),flip(a)]. 5368 K(T(x,y),y) = K(x,y). [hyper(255,a,5186,a,b,5188,a)]. 5373 K(x,T(y,x)) = K(x,y). [hyper(255,a,4195,a(flip),b,5368,a(flip))]. 5374 K(x,y / x) = K(x,x \ y). [hyper(255,a,4194,a(flip),b,5368,a(flip)),flip(a)]. 5375 K(x \ (y * x),x) = K(y,x). [para(37(a,1),5368(a,1,1))]. 5376 K(x / y,y) = K(y \ x,y). [para(129(a,1),5368(a,1,1)),flip(a)]. 5377 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(128(a,1),5368(a,1,1))]. 5378 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(716(a,1),5368(a,1,1)),flip(a)]. 5379 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(707(a,1),5368(a,1,1)),flip(a)]. 5380 K(x / (x / y),y \ x) = K(y,y \ x). [para(4506(a,1),5368(a,1,1)),flip(a)]. 5381 K(x,y) \ 1 = K(y,x). [para(5368(a,1),4607(a,1,1))]. 5382 K(x,y) * K(y,x) = 1. [para(5368(a,1),4609(a,1,1))]. 5383 K(x,y) * z != 1 | K(y,x) = z. [para(5368(a,1),4614(a,1,1))]. 5384 K(x,y) \ 1 != z | K(y,x) = z. [para(5368(a,1),4615(a,1,1))]. 5385 K(x * K(y,x),y) = K(x,y). [para(5216(a,1),5368(a,1,1)),flip(a)]. 5387 K(x,x \ (y * x)) = K(x,y). [para(37(a,1),5373(a,1,2))]. 5388 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(45(a,2),5373(a,1,2))]. 5389 K(x \ y,(x \ y) \ y) = K(x \ y,x). [para(128(a,1),5373(a,1,2))]. 5390 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(187(a,1),5373(a,1,2)),flip(a)]. 5392 K(x,y * K(x,y)) = K(x,y). [para(5216(a,1),5373(a,1,2)),flip(a)]. 5394 1 / K(x,y) = K(y,x). [para(5381(a,1),70(a,1,2))]. 5395 1 / K(x,y) != z | K(y,x) = z. [para(5381(a,1),303(a,1,2)),flip(b)]. 5396 L(x \ K(y,z),x,K(z,y)) = (K(z,y) * x) \ 1. [para(5381(a,1),241(a,1,1,2))]. 5397 T((x * K(y,z)) \ x,u) = L(T(K(z,y),u),K(y,z),x). [para(5381(a,1),344(a,2,1,1))]. 5398 L(L(K(x,y),z,u),K(y,x),w) = L((w * K(y,x)) \ w,z,u). [para(5381(a,1),346(a,1,1,1))]. 5399 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(5381(a,1),2018(a,2,2,1))]. 5400 T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(5381(a,1),2168(a,2,1,2,1))]. 5402 (x * K(y,x)) \ 1 = x \ K(x,y). [para(5381(a,1),3675(a,2,2))]. 5403 K(x,T(y,x)) != z | K(x,y) = z. [para(5381(a,1),4615(a,1))]. 5404 T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. [para(5394(a,1),3869(a,1,2,2))]. 5406 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(5192(a,1),303(a,1,2)),flip(b)]. 5407 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(5192(a,1),2185(a,1,2,1))]. 5408 K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. [para(5192(a,2),3529(a,2,1))]. 5409 K(x \ y,x) * (y / x) = x \ y. [para(19(a,1),5211(a,1,2,1))]. 5411 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(100(a,1),5211(a,1,2,1))]. 5413 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [para(5215(a,2),4358(a,1,1))]. 5414 (T(x,y) * y) / T(x,y) = y * K(x,y). [para(5215(a,2),4442(a,2,2))]. 5415 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(4746,a,5217,a),flip(a)]. 5416 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(4257,a,5217,a)]. 5418 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(255,a,3712,a(flip),b,5217,a),flip(a)]. 5419 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [hyper(80,a,5217,a,b,1611,a)]. 5420 T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). [hyper(80,a,5217,a,b,1079,a)]. 5421 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(26,a,5217,a)]. 5422 T(x * y,y) / T(x,y) = y * K(x * y,y). [hyper(255,a,1122,a,b,5217,a(flip)),flip(a)]. 5424 x \ T(x * y,y) = y * K(x * y,y). [hyper(255,a,4148,a(flip),b,5217,a(flip)),flip(a)]. 5426 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(122(a,1),5217(a,1,1))]. 5427 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(5217(a,1),123(a,1,1))]. 5428 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(5217(a,2),452(a,1,2))]. 5430 T(x * K(y * x,x),y) = R(x,y,x). [para(5217(a,1),703(a,2,1)),flip(a)]. 5431 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(5217(a,1),767(a,1,1))]. 5432 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(5217(a,1),775(a,1,1))]. 5433 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(5217(a,2),103(a,1,2))]. 5434 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(5217(a,1),871(a,1,1,1))]. 5435 (x * K(x * y,x)) * y = T(x * y,x). [para(5217(a,1),980(a,1,1))]. 5436 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(5217(a,1),769(a,1,1))]. 5437 L(x * K(y,x),x \ 1,x) = (y * (1 / (1 / x))) / y. [para(5217(a,1),1498(a,1,1))]. 5438 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(5217(a,1),1627(a,2,1,2))]. 5439 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1835(a,1),5217(a,1,1))]. 5440 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(5217(a,1),1847(a,2,1)),flip(a)]. 5441 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1951(a,1),5217(a,1,1))]. 5442 K(x,y) = (1 / y) * ((x * y) / x). [para(5217(a,2),3171(a,1,2)),flip(a)]. 5444 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(5217(a,1),5079(a,1,1,2))]. 5445 K(x,y) / (1 / y) = (x * (1 / (1 / y))) / x. [hyper(81,a,5237,a,b,1619,a)]. 5446 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [para(915(a,1),5237(a,2,1)),flip(a)]. 5447 (x \ y) \ (y / x) = K(x,x \ y). [para(19(a,1),5239(a,2,2,1)),flip(a)]. 5448 x * K(y,x) != z | (y * x) / y = z. [para(5239(a,2),220(a,1,2)),flip(b)]. 5451 K(x,y) * K(x \ 1,x) = (x \ 1) * T(x,y). [para(5241(a,2),3098(a,1,1))]. 5453 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(5243(a,2),431(a,1,2,2))]. 5454 T(x,y * x) * (x \ 1) = K(x,x * y). [para(4563(a,2),5243(a,2,1)),flip(a)]. 5455 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5381(a,1),5243(a,2,2)),flip(a)]. 5456 T(x,y) * (x \ 1) != z | K(x,y) = z. [para(5249(a,1),220(a,1,2)),flip(b)]. 5457 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(23,a,1957,a,b,5265,a)]. 5458 (x * y) / x != z | y * K(x,y) = z. [para(5265(a,1),304(a,1,1)),flip(b)]. 5459 ((x * y) * z) * a(z * K(x * y,z),x,y) = ((z * K(x * y,z)) * x) * y. [para(5265(a,1),100(a,1,1))]. 5460 x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). [para(5265(a,1),5083(a,1,2)),flip(a)]. 5463 L(((x * y) \ x) \ 1,(x * y) \ x,y * x) = y. [hyper(1612,a,5296,a)]. 5470 x \ (y * (x / y)) = K(y,y \ x). [hyper(255,a,107,a,b,5374,a(flip)),flip(a)]. 5471 K(x,x \ (y \ x)) = K(x,y \ 1). [hyper(255,a,4680,a(flip),b,5374,a(flip))]. 5472 x * K(y,y \ x) = y * (x / y). [para(5374(a,1),264(a,1,2))]. 5473 K(x,x \ y) \ 1 = K(y / x,x). [para(5374(a,1),5381(a,1,1))]. 5475 (x * (y / x)) \ y = K(x \ y,x). [hyper(255,a,108,a,b,5376,a(flip)),flip(a)]. 5484 (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. [para(3309(a,1),5255(a,1,2))]. 5485 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(45(a,2),5281(a,1,1))]. 5486 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(47(a,2),5281(a,1,1))]. 5488 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(4430(a,1),5281(a,1))]. 5489 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(4431(a,2),5281(a,1))]. 5490 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(45(a,2),5325(a,1,2))]. 5491 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(542(a,2),5325(a,1,2))]. 5493 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(4375(a,2),5325(a,1))]. 5502 K(x,x \ (y * x)) != z | K(x,y) = z. [para(37(a,1),5403(a,1,2))]. 5504 K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w. [para(47(a,2),5403(a,1,2))]. 5505 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(1061(a,1),5403(a,1,2))]. 5507 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(5368(a,2),5403(a,1))]. 5509 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(5178(a,1),2046(a,2,2))]. 5510 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2669,a,5179,a)]. 5512 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(255,a,1582,a(flip),b,5179,a(flip)),flip(a)]. 5513 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(255,a,1559,a(flip),b,5179,a(flip)),flip(a)]. 5514 K((x * y) \ x,x * y) = K(y \ 1,x * y). [para(20(a,1),5179(a,1,1,2))]. 5515 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(5179(a,1),1557(a,2,2))]. 5516 (x * y) * K(((x * y) \ x) \ 1,z) = x * T(y,z). [para(5179(a,1),1562(a,1,2))]. 5517 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(5179(a,1),1581(a,1,1))]. 5518 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [para(5179(a,1),1560(a,1,2))]. 5519 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(849,a,5187,a)]. 5525 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(5187(a,1),1218(a,1,1))]. 5526 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(5187(a,1),1411(a,2,1))]. 5528 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(5187(a,1),1895(a,2,2))]. 5529 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(5187(a,1),2453(a,2,1,2))]. 5530 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * K(y \ 1,z)) * z. [para(5187(a,1),2454(a,2,1,2))]. 5532 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u. [para(5206(a,1),431(a,1,2,2))]. 5533 K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. [para(5210(a,1),263(a,1,2))]. 5534 x \ (T(x,y) * z) = K(x,y) * z. [hyper(87,a,5220,a)]. 5535 K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)). [hyper(80,a,127,a(flip),b,5220,a),flip(a)]. 5536 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(80,a,19,a(flip),b,5220,a),flip(a)]. 5537 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(22,a,4582,a,b,5220,a),flip(a)]. 5538 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(22,a,1086,a,b,5220,a)]. 5539 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(22,a,4669,a(flip),b,5220,a)]. 5540 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(22,a,4667,a(flip),b,5220,a)]. 5541 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(22,a,4622,a(flip),b,5220,a)]. 5543 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(5220(a,1),29(a,2,2,1)),flip(a)]. 5545 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(2075(a,1),5220(a,1,2))]. 5546 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(1107,a,5221,a)]. 5547 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(873,a,5221,a)]. 5548 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(255,a,3325,a,b,5221,a)]. 5550 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(255,a,5220,a,b,5221,a(flip)),flip(a)]. 5551 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(255,a,4644,a,b,5221,a(flip)),flip(a)]. 5552 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [hyper(255,a,5137,a(flip),b,5221,a(flip)),flip(a)]. 5553 (x * y) / (T(x,z) * y) = K(z,x). [hyper(81,a,4769,a(flip),b,5221,a(flip))]. 5554 K(x,y) \ (y * z) = T(y,x) * z. [hyper(80,a,4769,a(flip),b,5221,a(flip))]. 5555 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(80,a,5221,a(flip),b,5220,a)]. 5556 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(80,a,5221,a(flip),b,4762,a(flip))]. 5557 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(33(a,2),5221(a,1,2)),flip(a)]. 5558 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(5186(a,2),5221(a,1,2)),flip(a)]. 5559 T(x,y) \ (x * z) = K(y,x) * z. [hyper(1127,a,5225,a)]. 5560 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(1106,a,5225,a),flip(a)]. 5561 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(255,a,4778,a,b,5225,a(flip)),flip(a)]. 5562 x \ (((y * x) / y) * z) = K(y,x) * z. [hyper(255,a,4777,a,b,5225,a(flip)),flip(a)]. 5563 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(81,a,4901,a(flip),b,5225,a(flip)),flip(a)]. 5564 T(x,y) * (K(y,x) * z) = x * z. [para(5225(a,1),1079(a,1,2))]. 5565 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(5225(a,1),1106(a,1))]. 5567 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(5186(a,2),5225(a,1,2)),flip(a)]. 5571 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))). [para(5226(a,1),424(a,1,1)),flip(a)]. 5572 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(895(a,1),5236(a,2,1)),flip(a)]. 5580 K(x,1 / y) != z | K(x,y \ 1) = z. [para(5250(a,1),5325(a,1))]. 5583 K(x,x / y) = K(x,y \ x). [hyper(5325,a,5269,a),flip(a)]. 5584 K(x,(y \ x) \ x) = K(x,y). [para(70(a,1),5583(a,1,2)),flip(a)]. 5585 K(x,x / (x / y)) = K(x,y). [para(73(a,1),5583(a,2,2))]. 5586 K(x,T(y,y \ x)) = K(x,y). [para(128(a,2),5584(a,1,2))]. 5587 K(x * y,T(x,y)) = K(x * y,x). [para(18(a,1),5586(a,1,2,2))]. 5588 T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). [hyper(81,a,5006,a,b,5271,a)]. 5589 K(x,(x \ 1) * y) * y = x * (y / x). [para(4690(a,2),5271(a,1,1))]. 5590 K(x,y) * ((x \ 1) \ y) = x * (((x \ 1) \ y) / x). [para(4692(a,1),5271(a,1,1))]. 5592 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(47(a,2),5272(a,2,1))]. 5593 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(5272(a,1),310(a,1))]. 5594 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(183(a,1),5272(a,1,2))]. 5595 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(184(a,1),5272(a,1,2))]. 5597 (K(x * y,z) * (x * (y * u))) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5272(a,1),441(a,1,2))]. 5600 K(x,y) \ z = K(y,x) * z. [hyper(255,a,5225,a(flip),b,5273,a(flip))]. 5602 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(3609,a,5600,a)]. 5603 K(x,y) * (y \ K(y,x)) = y \ 1. [hyper(3608,a,5600,a),flip(a)]. 5604 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(646,a,5600,a),flip(a)]. 5605 x / (K(y,z) * x) = K(z,y). [hyper(416,a,5600,a)]. 5606 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(255,a,3148,a,b,5600,a)]. 5607 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(223,a,5600,a),flip(a)]. 5608 K(x,y) * (K(y,x) * z) = z. [hyper(222,a,5600,a)]. 5609 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(80,a,5600,a,b,127,a)]. 5610 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(255,a,3952,a(flip),b,5600,a(flip))]. 5611 x * (K(y,z) * u) != u | K(z,y) = x. [para(5600(a,1),94(a,1,2)),flip(b)]. 5612 K(x,y) * (K(y,x) * z) != u | u = z. [para(5600(a,1),220(a,1,2))]. 5613 x / (K(y,z) * x) != u | K(z,y) = u. [para(5600(a,1),303(a,1,2)),flip(b)]. 5615 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5600(a,1),241(a,1,1,2))]. 5616 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5600(a,1),241(a,1,1))]. 5618 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5600(a,1),524(a,1,2))]. 5619 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5600(a,1),311(a,1,1,3))]. 5620 R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). [para(5600(a,1),4038(a,1,1))]. 5622 K(x,y) * z != u | K(y,x) * u = z. [para(5605(a,1),89(a,1,1)),flip(b)]. 5623 K(x,y) \ z != u | K(y,x) * z = u. [para(5605(a,1),219(a,1,1)),flip(b)]. 5624 K(x,y) != z | K(y,x) \ 1 = z. [para(5605(a,1),217(a,1)),flip(b)]. 5626 K(x,y) * (K(z,y) * K(y,x)) = K(z,y). [hyper(22,a,2075,a,b,5608,a)]. 5628 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(22,a,2075,a(flip),b,5608,a)]. 5629 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). [para(5608(a,1),114(a,2,1))]. 5630 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(5608(a,1),122(a,1,2))]. 5634 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(5274(a,1),220(a,1,2)),flip(b)]. 5636 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(5284(a,1),35(a,2,2)),flip(a)]. 5638 T(x,x \ y) / (y \ x) = x * (y / x). [para(5290(a,1),4181(a,1,1))]. 5639 T(x,x \ y) / ((y \ x) \ x) = x / ((x \ ((y \ x) \ x)) * x). [para(5290(a,1),4598(a,1,1))]. 5640 T(K(x,y) / (1 / y),x) = 1 / (1 / y). [para(73(a,1),5309(a,1,1,1,2))]. 5641 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(81,a,526,a(flip),b,5312,a),flip(a)]. 5642 K(x,T(y,T(x,z))) = K(x,y). [hyper(5323,a,5320,a)]. 5643 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(5320(a,2),5255(a,1))]. 5644 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(5359(a,2),1302(a,2,2))]. 5645 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(5360(a,1),2308(a,1,2))]. 5648 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(729(a,1),5362(a,2,2))]. 5649 1 / (x * K(y,x)) = K(x,y) / x. [para(5217(a,1),5362(a,2,2)),flip(a)]. 5650 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). [para(5402(a,1),3489(a,2,2,2))]. 5657 (x \ y) * K(x,x \ y) != z | y / x = z. [para(5447(a,1),220(a,1,2)),flip(b)]. 5659 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [para(5006(a,2),5470(a,1,2))]. 5660 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(5471(a,1),5271(a,1,1))]. 5661 T(x,K(y,y \ x)) = x. [hyper(172,a,5472,a,b,5271,a)]. 5663 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(5472(a,1),33(a,2,1)),flip(a)]. 5665 K(x / y,y) != z | K(y \ x,y) = z. [para(5473(a,1),5384(a,1))]. 5666 K(x \ (x / y),x) = (T(x,y \ 1) / y) \ (x / y). [para(4174(a,2),5475(a,1,1)),flip(a)]. 5667 T(x / y,z) \ x = K(x / y,z) \ y. [hyper(523,a,5534,a),flip(a)]. 5668 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(5534(a,1),220(a,1,2)),flip(b)]. 5671 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5536(a,1),24(a,1))]. 5673 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(45(a,2),5546(a,1,2,1))]. 5674 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(47(a,2),5553(a,1,2,1))]. 5677 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(45(a,2),5559(a,1,1))]. 5678 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(5559(a,1),220(a,1,2)),flip(b)]. 5680 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(5559(a,1),1103(a,1))]. 5681 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(5194(a,1),5559(a,1,2)),flip(a)]. 5682 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(5252(a,2),5559(a,1,2))]. 5683 K(x,y) * (y * z) = y * (K(x,y) * z). [para(5559(a,1),5225(a,1,2)),flip(a)]. 5687 K(x,y) * (x / y) = x / T(y,x). [hyper(4699,a,5564,a),flip(a)]. 5688 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(1137,a,5564,a)]. 5694 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5603(a,1),304(a,1,1)),flip(b)]. 5695 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5609(a,1),1814(a,1,2,2,1))]. 5696 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5609(a,1),1816(a,1,2,2,1))]. 5697 (x \ K(x,y)) * ((x \ 1) \ 1) = K(x,y). [para(5645(a,1),169(a,1,2))]. 5698 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(5645(a,1),182(a,1,2,1))]. 5699 (K(x,y) / x) \ 1 = x * K(y,x). [para(5649(a,1),73(a,1,1))]. 5702 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5687(a,1),112(a,1,1))]. 5703 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5687(a,1),149(a,1,2,1))]. 5704 K(x \ R(x,y,z),x) = (x \ K(x,x \ 1)) * x. [para(1450(a,2),5365(a,2,1))]. 5707 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(3147,a,5540,a)]. 5708 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(3147,a,5541,a)]. 5709 T(x,x * y) \ T(x,y) = x \ R(x,y,x). [hyper(80,a,5541,a(flip),b,5225,a),flip(a)]. 5713 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(2247(a,1),5612(a,1,2))]. 5716 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. [para(4049(a,2),5612(a,1,2)),flip(b)]. 5717 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(37(a,2),5623(a,1))]. 5718 T(x,T(y,x)) != z | T(x,y) = z. [para(126(a,1),5643(a,1,2,2))]. 5719 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(187(a,1),5643(a,1,2))]. 5724 K(x,x * y) * K(y,x) = x \ L(x,y,x). [hyper(80,a,5707,a(flip),b,5220,a),flip(a)]. 5725 T(x,y \ x) * K(y \ 1,x) = L(x,y \ 1,x). [para(1990(a,1),5707(a,1,1))]. 5726 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(80,a,5708,a(flip),b,5220,a),flip(a)]. 5727 (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). [para(5708(a,1),33(a,2,2,2)),flip(a)]. 5730 R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). [para(5181(a,1),3802(a,2,1,2,1))]. 5731 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(5189(a,1),19(a,1,2)),flip(a)]. 5732 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [para(5191(a,1),2870(a,1,1)),flip(a)]. 5733 K((1 / x) \ y,y) = K(y * x,y). [hyper(255,a,5177,a,b,5205,a)]. 5734 K(x * (y \ 1),x) = K(y \ x,x). [para(70(a,1),5733(a,1,1,1)),flip(a)]. 5735 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(5360(a,1),5734(a,1,1,2)),flip(a)]. 5736 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(5217(a,1),5213(a,1,1))]. 5737 K(x,y) * (((y * x) / y) * z) = x * z. [para(18(a,1),5214(a,1,2)),flip(a)]. 5739 x * ((x * K(y,x)) \ z) = K(x,y) * z. [para(5217(a,1),5214(a,1,2,1))]. 5740 K(x * (1 / y),x) = K(y \ x,x). [hyper(255,a,5177,a,b,5219,a)]. 5742 K((x \ 1) \ y,y) = K(y * x,y). [para(70(a,1),5740(a,1,1,2)),flip(a)]. 5743 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(81,a,831,a(flip),b,5222,a)]. 5744 x / (y * T(y \ x,z)) = K(z,x / y). [para(5222(a,1),5605(a,1,2))]. 5745 K(x,y) / (1 / T(y,x)) = 1 / (1 / y). [para(5230(a,1),70(a,1,2))]. 5746 K(x * K(y,y \ 1),z) = K(x,z). [hyper(255,a,5182,a,b,5232,a)]. 5747 K(x * K(y \ 1,y),z) = K(x,z). [para(1451(a,1),5746(a,1,1,2))]. 5751 K(K(x \ 1,x) * y,z) = K(y,z). [para(2911(a,1),5746(a,1,1)),flip(a)]. 5752 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2910(a,1),5746(a,1,1))]. 5754 K(((x \ 1) \ 1) * y,z) = K(x * y,z). [para(3069(a,1),5746(a,1,1))]. 5755 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(3091(a,1),5746(a,1,1)),flip(a)]. 5756 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(3097(a,1),5746(a,1,1))]. 5758 K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). [para(4878(a,2),5746(a,1,1))]. 5759 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4879(a,2),5746(a,1,1))]. 5762 K(x \ K(y \ 1,y),z) = K(x \ 1,z). [para(4861(a,1),5747(a,1,1))]. 5763 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4951(a,1),5747(a,1,1)),flip(a)]. 5764 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4950(a,2),5747(a,1,1))]. 5768 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(5000(a,1),5751(a,1,1))]. 5769 R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). [hyper(255,a,3792,a(flip),b,5238,a(flip)),flip(a)]. 5770 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(255,a,2583,a(flip),b,5238,a(flip)),flip(a)]. 5772 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). [hyper(255,a,1332,a(flip),b,5238,a(flip)),flip(a)]. 5774 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(5238(a,1),1053(a,2,2))]. 5775 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(5238(a,1),2052(a,1,2))]. 5776 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [para(5238(a,1),2420(a,2,2))]. 5777 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(5240(a,2),1190(a,2,1))]. 5779 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [para(1424(a,1),5248(a,2,1))]. 5780 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(255,a,5186,a,b,5262,a)]. 5782 K(x,y / (z * y)) = K(x,z \ 1). [hyper(5325,a,5278,a)]. 5785 K(x,(y \ z) / z) = K(x,y \ 1). [para(19(a,1),5782(a,1,2,2))]. 5786 K(x,(y / z) \ 1) = K(x,z / y). [para(21(a,1),5782(a,1,2,2)),flip(a)]. 5791 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(452(a,1),5785(a,1,2,1)),flip(a)]. 5794 K(x,y * K(z,z \ 1)) = K(x,y). [hyper(255,a,5186,a,b,5279,a)]. 5796 K(x,y * K(z \ 1,z)) = K(x,y). [para(1451(a,1),5794(a,1,2,2))]. 5797 K(x,K(y,y \ 1) * z) = K(x,z). [para(2247(a,2),5794(a,1,2))]. 5798 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(2895(a,1),5794(a,1,2))]. 5799 K(x,y * T(z,z \ 1)) = K(x,y * z). [para(2896(a,1),5794(a,1,2))]. 5800 K(x,K(y \ 1,y) * z) = K(x,z). [para(2911(a,1),5794(a,1,2)),flip(a)]. 5804 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(2920(a,1),5794(a,1,2)),flip(a)]. 5805 K(x,T(y,y \ 1) * z) = K(x,y * z). [para(3028(a,1),5794(a,1,2))]. 5807 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(3097(a,1),5794(a,1,2))]. 5808 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(3194(a,1),5794(a,1,2))]. 5809 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(4967(a,2),5794(a,1,2))]. 5812 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4950(a,2),5796(a,1,2))]. 5814 K(x,T(y * K(z,z \ 1),u)) = K(x,T(y,u)). [para(5075(a,2),5797(a,1,2))]. 5816 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(4985(a,1),5800(a,1,2))]. 5817 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(5001(a,1),5800(a,1,2))]. 5819 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(23,a,5265,a,b,5298,a),flip(a)]. 5820 T(x * K(x * y,x),y) = R(x,y,x). [hyper(23,a,4475,a,b,5298,a)]. 5821 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(23,a,1957,a,b,5298,a)]. 5823 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(5820(a,1),43(a,1,1)),flip(a)]. 5824 T(x * K(y \ x,x),y \ 1) = R(x,y \ 1,x). [para(5734(a,1),5820(a,1,1,2))]. 5825 T(x * K(y \ x,x),y \ 1) = R(x,x \ (y \ x),x). [hyper(255,a,4742,a,b,5299,a)]. 5826 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(80,a,5299,a,b,5217,a(flip))]. 5827 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(5299(a,2),5180(a,2,1)),flip(a)]. 5828 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(5299(a,2),5458(a,1))]. 5829 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(5337(a,1),5264(a,1))]. 5830 T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. [para(4569(a,1),5829(a,1))]. 5831 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(4602(a,2),5829(a,1))]. 5832 L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. [para(4585(a,2),5829(a,1))]. 5836 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(3053(a,1),5388(a,1,2))]. 5838 x * (y * K(z,y)) != u | u / ((z * y) / z) = x. [para(5421(a,1),96(a,1))]. 5839 x \ (y * T(y \ x,x)) = K((1 / y) * x,x). [hyper(930,a,5424,a)]. 5841 x \ T(x * y,y) = y * K(y * x,y). [hyper(23,a,5025,a,b,5435,a),flip(a)]. 5842 K(x,y * x) = K(x,x * y). [hyper(5456,a,5454,a)]. 5845 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(100(a,1),5842(a,2,2))]. 5846 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(19(a,1),5537(a,1,1,1)),flip(a)]. 5849 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(5217(a,1),5537(a,1,1))]. 5850 x * (K(x,y) * T(z,x)) = K(x,y) * (z * x). [hyper(255,a,5220,a,b,5538,a),flip(a)]. 5853 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(255,a,3323,a(flip),b,5558,a)]. 5854 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5558(a,2),3335(a,1))]. 5855 K(x,y) * (y * z) = ((x * y) / x) * z. [para(18(a,1),5561(a,1,2)),flip(a)]. 5858 ((x * y) / x) * z = y * (K(x,y) * z). [para(5562(a,1),19(a,1,2)),flip(a)]. 5859 x \ ((y / (y / x)) * z) = K(x \ y,x) * z. [para(4524(a,1),5562(a,1,2,1))]. 5860 T(x,x \ (y * x)) / ((y * x) \ x) = x * y. [para(20(a,1),5638(a,2,2))]. 5862 (K(x,y) / (1 / y)) * x = x * (1 / (1 / y)). [para(5640(a,1),127(a,1,2)),flip(a)]. 5865 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(255,a,2075,a,b,5682,a)]. 5868 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5683(a,1),122(a,2,1))]. 5869 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(5683(a,1),310(a,1))]. 5871 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5683(a,1),424(a,1,1))]. 5874 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(925(a,1),5688(a,1,2))]. 5875 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [hyper(605,a,5697,a)]. 5877 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(19(a,1),5737(a,1,2,1,1))]. 5879 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(4040,a,5739,a),flip(a)]. 5881 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(255,a,3911,a,b,5879,a(flip)),flip(a)]. 5882 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). [hyper(80,a,5879,a(flip),b,3911,a)]. 5883 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(1138(a,1),5744(a,1,2))]. 5884 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1743(a,1),5744(a,1,2))]. 5885 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(5190(a,2),5745(a,1,2))]. 5888 K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). [para(5699(a,1),5754(a,1,1,1,1))]. 5889 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(189(a,1),5762(a,1,1,2))]. 5890 K(x,(y \ 1) \ x) = K(x,x * y). [hyper(255,a,5780,a(flip),b,5798,a(flip)),flip(a)]. 5891 K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u). [hyper(255,a,5763,a,b,5799,a)]. 5892 K(x,(1 / x) * y) * y = x * (y / x). [para(5807(a,2),5589(a,1,1))]. 5893 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(3435(a,2),5808(a,1,2,1))]. 5894 K(x * y,y) = K(y * x,y). [hyper(22,a,5424,a(flip),b,5841,a(flip)),flip(a)]. 5895 K((x \ 1) \ y,y) = K(x * y,y). [hyper(255,a,5742,a,b,5894,a),flip(a)]. 5896 K((1 / x) * y,y) = K(x \ y,y). [hyper(255,a,5740,a(flip),b,5894,a)]. 5897 ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). [para(5895(a,1),5252(a,2,2)),flip(a)]. 5898 (x / (K(y,z) * T(y,u))) \ x = K(y,u) * T(y,z). [hyper(255,a,73,a,b,5853,a),flip(a)]. 5899 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5853(a,1),24(a,1))]. 5900 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(19(a,1),5855(a,2,1,1))]. 5901 (x * K(y,x)) * z = K(y,x) * (x * z). [para(5217(a,1),5855(a,2,1)),flip(a)]. 5902 (K(x,y) * y) * z = K(x,y) * (y * z). [para(5267(a,1),5855(a,2,1)),flip(a)]. 5903 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(19(a,1),5858(a,1,1,1)),flip(a)]. 5904 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(5858(a,1),774(a,1,1))]. 5905 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(4524(a,1),5858(a,1,1))]. 5906 (x * K(y,x)) * z = x * (K(y,x) * z). [para(5217(a,1),5858(a,1,1))]. 5908 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(4506(a,1),5865(a,1,2)),flip(a)]. 5909 L(x,y,K(z,y)) = x. [hyper(22,a,3156,a,b,5901,a),flip(a)]. 5910 L(x,T(y,z),K(z,y)) = x. [para(4195(a,1),5909(a,1,3))]. 5911 R(K(x,y),y,z) = K(x,y). [hyper(5091,a,5902,a)]. 5912 R(x,K(y,x),z) = x. [hyper(5091,a,5906,a)]. 5913 L(x,K(y,z),z) = x. [hyper(422,a,5906,a)]. 5914 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(5906(a,1),33(a,2,1)),flip(a)]. 5915 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(5912(a,1),459(a,1,1,1)),flip(a)]. 5916 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(5912(a,1),461(a,1,1,1)),flip(a)]. 5918 (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. [para(5913(a,1),224(a,1,2))]. 5927 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(255,a,4082,a(flip),b,5419,a(flip)),flip(a)]. 5928 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(5927(a,1),1721(a,1,1,2))]. 5929 L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2654(a,1),5488(a,1))]. 5931 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(4192(a,2),5507(a,1))]. 5933 T(x,y) * K(x,z) != u | K(x,y) * T(x,z) = u. [para(5186(a,2),5593(a,1,2))]. 5934 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5556(a,1),5593(a,1,2))]. 5935 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(19(a,1),5634(a,1,2))]. 5936 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(127(a,1),5634(a,1,2))]. 5937 K(x,y) * (((z * x) / z) * u) != w | T(x,y) * (K(z,x) * u) = w. [para(5858(a,2),5634(a,1,2))]. 5939 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(2346(a,1),5678(a,1,2))]. 5940 T(x,y) * z != u | x * (K(x,y) * z) = u. [para(5608(a,1),5678(a,1,2))]. 5942 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(255,a,5682,a(flip),b,5709,a(flip)),flip(a)]. 5944 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(2076,a,5724,a)]. 5945 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(5726(a,1),2076(a,1))]. 5946 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5894(a,2),5726(a,1,2))]. 5956 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(19(a,1),5942(a,1,1,1)),flip(a)]. 5957 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5942(a,1),2081(a,1))]. 5958 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(5894(a,2),5942(a,1,1))]. 5960 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(5170(a,1),4800(a,1,1,1))]. 5961 K((x \ (y \ x)) \ 1,z) = T(K(y,z),x). [para(5177(a,2),5185(a,1,1)),flip(a)]. 5962 T(K(x / y,z),x) = K((x \ y) \ 1,z). [para(73(a,1),5961(a,1,1,1,2)),flip(a)]. 5963 T(K(x / y,z),x) \ 1 = K(z,(x \ y) \ 1). [para(5962(a,2),5381(a,1,1))]. 5965 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(5489,a,5223,a)]. 5966 T(K(x \ 1,y),z) != u | K(T(x,z) \ 1,y) = u. [para(5223(a,1),5489(a,1))]. 5967 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(73(a,1),5965(a,2,1,1))]. 5968 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3312(a,1),5965(a,2,1))]. 5970 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). [para(5968(a,1),5394(a,1,2)),flip(a)]. 5971 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(5186(a,2),5244(a,1,1)),flip(a)]. 5974 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(73(a,1),5971(a,2,1,2))]. 5975 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(5971(a,2),127(a,1,2))]. 5976 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(3702(a,1),5971(a,2,1))]. 5978 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(5971(a,1),5255(a,1,2))]. 5981 K(x,R(T(K(x,y),z),u,w)) = 1. [para(5974(a,1),3339(a,1,2,1))]. 5982 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(5731(a,1),5974(a,1,2))]. 5984 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(23,a,5265,a,b,5300,a),flip(a)]. 5986 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(23,a,5265,a,b,5301,a),flip(a)]. 5987 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(5649(a,1),5305(a,1,1,2))]. 5988 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(5987(a,1),127(a,1,2)),flip(a)]. 5989 K(x,T(y,z)) * K(y \ 1,y) = (T(T(y,z),x) \ 1) * T(y,z). [para(3181(a,1),5408(a,1,2))]. 5990 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(255,a,2310,a(flip),b,5418,a),flip(a)]. 5991 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(81,a,5431,a,b,5267,a(flip))]. 5992 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(5431(a,2),5180(a,2,1)),flip(a)]. 5994 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(80,a,5432,a,b,5217,a(flip))]. 5995 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(5432(a,2),4526(a,1,1))]. 5996 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(5432(a,2),5180(a,2,1)),flip(a)]. 5998 K((x / y) \ 1,z) = K(y / x,z). [hyper(255,a,5233,a(flip),b,5512,a(flip))]. 6001 R(K(x / y,z),x / y,u) = K((y / x) \ 1,z). [hyper(255,a,4395,a,b,5998,a),flip(a)]. 6002 K((x / y) \ 1,x) = K(x \ y,x). [hyper(255,a,5376,a(flip),b,5998,a)]. 6007 K((x / y) \ 1,x) != z | K(x \ y,x) = z. [para(5998(a,2),5665(a,1))]. 6008 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(255,a,4683,a(flip),b,6002,a)]. 6009 K(x \ (y \ x),x) = K(y \ 1,x). [para(70(a,1),6002(a,1,1,1)),flip(a)]. 6014 x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y). [para(1138(a,1),5513(a,1,2))]. 6015 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1743(a,1),5513(a,1,2))]. 6016 T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). [para(2323(a,1),5513(a,1,2))]. 6017 (((x * y) \ x) \ x) * K(y \ 1,x * y) = x * y. [para(5514(a,1),5203(a,1,2))]. 6018 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(958,a,5515,a)]. 6019 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(849,a,5515,a),flip(a)]. 6020 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(661,a,5515,a),flip(a)]. 6021 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(255,a,1138,a(flip),b,5515,a(flip)),flip(a)]. 6023 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [para(5515(a,1),2010(a,2,1)),flip(a)]. 6024 T(x * y,z) / y = K(((1 / y) / x) \ 1,z) * x. [hyper(255,a,935,a(flip),b,5517,a),flip(a)]. 6025 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(255,a,925,a(flip),b,5517,a)]. 6026 x \ (y * T(y \ x,x)) = K((y / x) \ 1,x). [hyper(80,a,5517,a(flip),b,3141,a(flip))]. 6027 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(18(a,1),5517(a,2,2,1))]. 6028 (x \ K(x,y)) * x = (x \ 1) * T(x,y). [hyper(255,a,5451,a(flip),b,5533,a(flip))]. 6029 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(3165,a,5567,a)]. 6031 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [para(5641(a,1),43(a,1,1)),flip(a)]. 6032 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(81,a,4178,a,b,5660,a)]. 6036 (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. [hyper(255,a,3175,a(flip),b,5732,a(flip)),flip(a)]. 6038 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(3344(a,1),5758(a,1,1,2))]. 6039 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(3993(a,1),5759(a,1,1))]. 6041 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(5002(a,1),5764(a,1,1,1))]. 6042 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2821(a,1),5809(a,1,2,1)),flip(a)]. 6043 K(x,(y * (z / (1 / u))) \ w) = K(x,(y * (z / (u \ 1))) \ w). [para(4991(a,1),5812(a,1,2,1)),flip(a)]. 6045 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(3097(a,1),5814(a,1,2,1))]. 6046 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5819(a,1),222(a,1,2)),flip(b)]. 6049 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5894(a,1),5826(a,1,2,1,2))]. 6050 T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). [para(5515(a,2),5826(a,1,2,1))]. 6052 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5819(a,1),5827(a,1,1,1))]. 6053 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(5622,a,5846,a)]. 6055 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(37(a,2),5846(a,1,2))]. 6059 T(x,T(y,x)) / ((y * x) \ x) = x * y. [para(37(a,2),5860(a,1,1,2))]. 6060 T(x,y) / ((y * x) \ x) = x * y. [para(4446(a,1),6059(a,1,1))]. 6061 T(x,y) = (x * y) * ((y * x) \ x). [para(6060(a,1),21(a,1,1)),flip(a)]. 6062 (x * y) \ T(x,y) = (y * x) \ x. [para(6060(a,1),73(a,1,1))]. 6064 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(80,a,6061,a,b,99,a(flip)),flip(a)]. 6065 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(255,a,4779,a,b,6062,a(flip)),flip(a)]. 6066 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((x * y) \ T(x,y)) \ 1,z,u). [para(6062(a,1),1907(a,1,1)),flip(a)]. 6075 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(22,a,3996,a,b,5881,a),flip(a)]. 6076 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * x. [para(5882(a,1),4911(a,1,1)),flip(a)]. 6080 K(x / y,(x / y) \ x) * z = y \ ((x / (x / y)) * z). [hyper(284,a,5903,a),flip(a)]. 6082 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(5272(a,1),5903(a,1,2))]. 6085 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(255,a,5976,a(flip),b,5970,a(flip))]. 6086 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(6085(a,1),73(a,1,1))]. 6087 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [para(6085(a,1),5183(a,2,1)),flip(a)]. 6088 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(255,a,5963,a(flip),b,6086,a(flip))]. 6089 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [para(6086(a,1),193(a,1,2)),flip(a)]. 6090 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(6086(a,1),5184(a,2,2)),flip(a)]. 6091 L(T(K(x,y),z),K(y,x),z) = (K(y,x) * z) \ z. [para(6086(a,1),6065(a,1,1))]. 6092 K(K(x,y),z) = K(z,K(y,x)). [hyper(255,a,5455,a(flip),b,6087,a(flip)),flip(a)]. 6093 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(5624,a,6092,a)]. 6094 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(6092(a,1),5252(a,2,2)),flip(a)]. 6095 x * K(K(y,z),x) = T(x,K(z,y)). [para(6092(a,2),5252(a,2,2)),flip(a)]. 6096 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(6092(a,1),5263(a,2,1)),flip(a)]. 6097 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(6092(a,1),5384(a,1,1))]. 6098 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(6092(a,1),5272(a,1,1))]. 6099 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(6093(a,1),5384(a,1))]. 6100 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(5657,a,6095,a),flip(a)]. 6101 T(T(x,K(y,z)),K(z,y)) = x. [hyper(255,a,5266,a(flip),b,6095,a(flip))]. 6102 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(6095(a,1),5265(a,1,1))]. 6105 T(K(x,y),K(z,y)) = K(x,y). [para(2072(a,1),6101(a,1,1))]. 6106 T(K(x,y),K(x,z)) = K(x,y). [para(2074(a,1),6101(a,1,1))]. 6107 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(80,a,6105,a(flip),b,5607,a)]. 6108 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(6105(a,1),127(a,1,2))]. 6110 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(6106(a,1),127(a,1,2))]. 6112 T(K(x,y),y * z) = K(x,((y * z) \ z) \ 1). [para(20(a,1),6088(a,1,1,2))]. 6113 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(6088(a,1),127(a,1,2))]. 6116 K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. [para(6094(a,1),5612(a,1,2)),flip(b)]. 6117 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(5275,a,6107,a)]. 6118 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(5935,a,6110,a)]. 6119 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(5381(a,1),6097(a,1))]. 6120 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(5455(a,2),6119(a,1))]. 6121 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(129(a,1),5975(a,1,2,2,1)),flip(a)]. 6123 K(x,y) / (1 / y) = 1 / (K(y,x) / y). [hyper(23,a,5862,a,b,5988,a),flip(a)]. 6124 ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). [para(5217(a,1),5990(a,1,1,1))]. 6125 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(5360(a,1),5990(a,1,1))]. 6126 K((x / y) \ 1,y) = K((1 / x) * y,y). [hyper(255,a,5839,a(flip),b,6026,a(flip))]. 6127 K((x / y) \ 1,y) = K(x \ y,y). [hyper(255,a,5896,a(flip),b,6126,a)]. 6128 K(x / y,x) = K(y \ x,x). [hyper(255,a,5998,a(flip),b,6127,a(flip)),flip(a)]. 6129 K((x \ y) \ y,y) = K(x,y). [para(70(a,1),6128(a,1,1)),flip(a)]. 6131 L(x * K(y,x),x \ 1,x) = x * ((T(x,y) \ 1) * x). [para(6036(a,1),190(a,1,2)),flip(a)]. 6132 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(87,a,6075,a)]. 6133 K(x,y) * K(y,((x * z) \ z) \ 1) = K(x * z,K(x,y)). [para(6112(a,1),6090(a,1,2))]. 6134 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(6117(a,1),4307(a,2,3))]. 6135 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(255,a,5098,a(flip),b,6132,a(flip)),flip(a)]. 6136 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(255,a,5097,a(flip),b,6132,a(flip)),flip(a)]. 6137 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(6135(a,1),5890(a,1,2,1))]. 6140 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(4039(a,1),5196(a,1,1,1)),flip(a)]. 6142 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(4039(a,1),5254(a,1,2,1)),flip(a)]. 6144 L(K(x,y) * K(z,y),K(y,z),K(y,x)) = (K(y,x) * K(y,z)) \ 1. [para(6107(a,1),5396(a,1,1))]. 6145 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(5440(a,2),4550(a,1,1))]. 6146 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(5512(a,1),5493(a,1))]. 6147 K(x \ 1,y) != z | K(1 / x,y) = z. [para(68(a,1),6146(a,1,1,1))]. 6152 K(x \ R(x,y,z),x) = (x \ K(x,R(x \ 1,u,w))) * x. [para(3922(a,2),5704(a,2,1,2))]. 6155 T(x,K(y,y \ 1)) != z | z = x. [para(5607(a,1),5713(a,1))]. 6157 T(x / y,y) != z | y \ x = z. [para(1386(a,1),6155(a,1)),flip(b)]. 6159 T(x,x \ y) != z | (x \ y) \ y = z. [para(70(a,1),6157(a,1,1))]. 6165 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(47(a,2),6159(a,1))]. 6170 T(x,T(1 / y,z) \ x) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(3314(a,1),5725(a,1,2))]. 6171 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(255,a,47,a,b,5823,a)]. 6172 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5836(a,1),5892(a,1,1))]. 6179 ((x * y) / x) * z != u | y * (K(x,y) * z) = u. [para(5217(a,2),5918(a,1,1))]. 6183 x \ K(x * y,x \ 1) = y / (y / (x \ 1)). [para(4686(a,1),5164(a,1,2))]. 6184 (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). [para(6183(a,2),73(a,1,1))]. 6185 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(5186(a,2),5234(a,1,1))]. 6187 K(x,L(x,y,z) \ 1) = K(x,x \ 1). [hyper(255,a,4960,a(flip),b,6185,a(flip))]. 6188 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (1 / x) * (L(x,y,z) \ x). [hyper(80,a,6185,a(flip),b,3824,a)]. 6189 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(73(a,1),6185(a,1,1,2)),flip(a)]. 6190 (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). [para(6185(a,1),112(a,1,2))]. 6191 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3702(a,1),6185(a,1,1)),flip(a)]. 6192 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(6187(a,2),4964(a,1,2))]. 6193 T(x,L(x,y,z) \ 1) = K(x,x \ 1) * x. [para(6187(a,1),5263(a,2,1))]. 6194 K(x,T(y,L(y,z,u) \ 1)) = K(x,y). [para(6193(a,2),5797(a,1,2))]. 6195 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(342(a,1),6191(a,1,2,1)),flip(a)]. 6197 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [para(5357(a,1),21(a,1,1))]. 6198 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(255,a,6117,a(flip),b,5420,a)]. 6199 ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(6198(a,1),113(a,1,2,2,1))]. 6200 (x * y) / (y * K(z,y)) = (x / (y * K(z,y))) * y. [para(5217(a,1),5438(a,1,2))]. 6201 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(5438(a,1),6157(a,1,1))]. 6202 a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). [hyper(255,a,3807,a,b,5510,a(flip)),flip(a)]. 6204 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(5187(a,1),5510(a,1,1))]. 6205 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(5240(a,2),5510(a,1,1)),flip(a)]. 6207 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(6204(a,1),122(a,1,1))]. 6208 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(123(a,1),6204(a,2,1,1))]. 6209 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3312(a,1),6204(a,1,1)),flip(a)]. 6211 K(x,R(1 / y,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(6205(a,1),5381(a,1,1)),flip(a)]. 6212 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(6205(a,1),6204(a,1,1)),flip(a)]. 6213 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(6209(a,1),5600(a,1,1)),flip(a)]. 6214 (x * y) * z != x * T(y,u) | K(((x * y) \ x) \ 1,u) = z. [para(5516(a,1),24(a,1)),flip(a)]. 6215 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(255,a,1749,a(flip),b,5519,a(flip)),flip(a)]. 6216 (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). [para(73(a,1),5519(a,1,2,2,1,2))]. 6217 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(127(a,1),5519(a,1,2))]. 6218 x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). [para(848(a,1),5519(a,1,2))]. 6222 K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y). [para(3606(a,1),5525(a,2,2,1))]. 6223 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(848(a,1),5526(a,1,2))]. 6224 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5525(a,2),5526(a,1,2))]. 6225 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(255,a,5998,a,b,5563,a(flip)),flip(a)]. 6227 (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). [hyper(5489,a,5666,a),flip(a)]. 6228 K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). [hyper(255,a,3479,a,b,6227,a(flip)),flip(a)]. 6229 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(20(a,1),6228(a,1,2,2))]. 6230 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(6147,a,6229,a)]. 6231 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [para(6230(a,1),5472(a,1,2)),flip(a)]. 6233 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1332(a,1),5770(a,1,1))]. 6234 T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). [para(2425(a,1),5770(a,1,1))]. 6236 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(5057(a,1),5883(a,1,2))]. 6237 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(5069(a,1),5884(a,1,2))]. 6238 R(K(x,y),x,z) != u | K(x,y) = u. [para(4373(a,2),5931(a,1))]. 6239 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(5199,a,6017,a)]. 6240 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [para(162(a,2),6239(a,2,1)),flip(a)]. 6241 x / T(x * y,y \ 1) = L(y \ 1,y,x). [para(6240(a,1),70(a,1,2))]. 6242 T(x,x \ T(x * y,y \ 1)) = T(x,L(y \ 1,y,x) \ 1). [para(6240(a,1),4409(a,1,2,2))]. 6243 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(5073(a,1),6241(a,1,2))]. 6244 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(6018(a,1),19(a,1,2))]. 6245 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [para(21(a,1),6024(a,1,1,1)),flip(a)]. 6247 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(5155(a,1),6045(a,1,2,1)),flip(a)]. 6250 K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). [para(5360(a,1),6121(a,1,1,2))]. 6252 ((x * K(y,z)) / (z * K(y,z))) * z = R(x,K(y,z),z). [hyper(3160,a,6200,a),flip(a)]. 6256 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(73(a,1),6224(a,1,2,1,1))]. 6257 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3312(a,1),6224(a,1,2,1))]. 6258 x * K((1 / y) \ 1,x * (1 / y)) = y * (x / y). [hyper(255,a,3220,a(flip),b,6231,a(flip))]. 6260 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5381(a,1),6244(a,1,2,2,1,1,2))]. 6261 x * K(y,x * (1 / y)) = y * (x / y). [para(73(a,1),6258(a,1,2,1))]. 6262 K(x,y * (1 / x)) = K(x,x \ y). [hyper(22,a,5472,a,b,6261,a)]. 6265 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [para(70(a,1),6262(a,1,2,2)),flip(a)]. 6266 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(6262(a,1),5394(a,1,2)),flip(a)]. 6268 K(x * (1 / y),y) = K(y \ x,y). [hyper(255,a,5394,a(flip),b,6266,a)]. 6271 K(x * (y \ 1),y) = K(y \ x,y). [hyper(255,a,5752,a(flip),b,6268,a(flip)),flip(a)]. 6272 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(70(a,1),6268(a,1,1,2)),flip(a)]. 6273 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [hyper(255,a,5379,a(flip),b,6271,a(flip)),flip(a)]. 6282 K(R(x,y,y \ 1),y) = K(x,y). [hyper(255,a,615,a(flip),b,6273,a)]. 6284 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(255,a,4691,a(flip),b,6265,a(flip))]. 6285 x * T(x \ 1,y * x) = K(x \ 1,x * y). [hyper(5316,a,6284,a)]. 6286 K((1 / x) \ y,x \ 1) = K(y * x,x \ 1). [hyper(255,a,5755,a,b,6272,a(flip)),flip(a)]. 6287 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(255,a,4686,a(flip),b,6272,a(flip))]. 6288 K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). [para(6287(a,1),5982(a,1,2,2))]. 6289 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(22,a,5187,a,b,6285,a)]. 6290 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(255,a,4599,a(flip),b,6289,a)]. 6291 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). [para(6289(a,1),2185(a,1,2,1,1))]. 6292 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). [para(6289(a,2),2185(a,1,1))]. 6293 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(19(a,1),6290(a,1,2))]. 6298 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(255,a,5982,a(flip),b,6288,a(flip))]. 6299 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6298(a,2),5455(a,1,1))]. 6300 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(6120,a,6299,a),flip(a)]. 6301 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(6119,a,6300,a),flip(a)]. 6302 (x / (x / y)) \ L(y,y \ x,y) = K((x / y) \ x,x). [hyper(255,a,6128,a(flip),b,5277,a)]. 6303 T((x * K(y,z)) \ x,x) = (K(y,z) * x) \ x. [hyper(255,a,6091,a(flip),b,5397,a)]. 6304 L(x * K(y,x),x \ 1,x) = K(y,x) / (1 / x). [hyper(255,a,5445,a,b,5437,a)]. 6306 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5600(a,1),5615(a,1,1))]. 6307 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(255,a,4721,a(flip),b,5616,a(flip))]. 6310 R(x,x \ (y \ x),x) = R(x,y \ 1,x). [hyper(255,a,5824,a(flip),b,5825,a(flip))]. 6311 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(22,a,5104,a(flip),b,5984,a)]. 6313 K(L(x,y,z) \ 1,x) = K(x \ 1,L(x,u,w)). [hyper(255,a,4933,a,b,6311,a),flip(a)]. 6314 L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x). [para(6311(a,2),2694(a,1,1))]. 6322 x * ((T(x,y) \ 1) * x) = K(y,x) / (1 / x). [hyper(255,a,6304,a(flip),b,6131,a(flip))]. 6323 x \ (1 / (K(x,y) / x)) = (T(x,y) \ 1) * x. [hyper(80,a,6123,a(flip),b,6322,a)]. 6324 x \ (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [para(5362(a,1),6323(a,1,2,2))]. 6325 T(x,y) \ (1 / (1 / T((z * x) / z,y))) = (T(T(x,y),z) \ 1) * T(x,y). [para(404(a,1),6324(a,1,2,2,2))]. 6326 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(20(a,1),6172(a,2,2))]. 6327 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(5176,a,6326,a),flip(a)]. 6328 T(1 / L(x,y,z),x) = L(x,y,z) \ 1. [para(6192(a,1),5307(a,1,1))]. 6330 (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(6202(a,1),634(a,1,2))]. 6331 R(x * y,K(z,y),y) = R(x,y,K(z,y)) * y. [para(35(a,2),6252(a,1,1)),flip(a)]. 6332 R(x * y,K(z,y),y) != u * y | R(x,y,K(z,y)) = u. [para(6331(a,2),25(a,1))]. 6333 K(x,y) = (y / (y / x)) \ L(x,x \ y,x). [hyper(255,a,616,a(flip),b,6302,a),flip(a)]. 6336 K(L(x,y,z) \ 1,L(x,y,z)) = K(L(x,y,z) \ 1,x). [hyper(3630,a,6314,a)]. 6337 K(L(x,y,z) \ 1,L(x,y,z)) = K(x \ 1,L(x,u,w)). [hyper(255,a,6313,a(flip),b,6336,a)]. 6339 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(6337(a,1),2306(a,1,1))]. 6340 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(6337(a,1),2862(a,1,1))]. 6341 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(255,a,2515,a(flip),b,5363,a)]. 6342 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3968,a,6341,a)]. 6343 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [hyper(255,a,6124,a(flip),b,5404,a)]. 6344 T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(6110(a,1),5404(a,2,1,1))]. 6345 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(47(a,2),5518(a,2,2))]. 6346 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(5187(a,1),5528(a,1,1,2))]. 6349 (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. [hyper(87,a,6346,a)]. 6350 ((x * y) * K(y \ 1,z)) / (K(y \ 1,z) * y) = R(x,K(y \ 1,z),y). [hyper(81,a,6346,a(flip),b,122,a)]. 6353 R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). [para(6349(a,1),1061(a,1,1)),flip(a)]. 6354 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(255,a,4556,a(flip),b,5594,a)]. 6355 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(255,a,4557,a(flip),b,5595,a)]. 6358 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(5238(a,1),5769(a,1,1))]. 6359 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(6238,a,6358,a),flip(a)]. 6360 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(255,a,3994,a(flip),b,6358,a(flip))]. 6361 K(x,R(1 / y,z,u) \ 1) = R(K(x,y),z,u). [para(73(a,1),6358(a,1,1,2)),flip(a)]. 6362 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3702(a,1),6358(a,1,1)),flip(a)]. 6363 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5786(a,1),6358(a,1,1)),flip(a)]. 6364 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(51(a,1),6359(a,1,2,1))]. 6365 K(x \ R(x,y,z),x) = (x \ K(x,R(x,u,w) \ 1)) * x. [para(6360(a,2),5704(a,2,1,2))]. 6366 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(255,a,6211,a(flip),b,6361,a(flip)),flip(a)]. 6367 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(817,a,6366,a),flip(a)]. 6368 (R(K(x,y),z,u) \ K(R(K(x,y),z,u) * w,R(K(y,x),z,u))) \ w = w / (R(K(x,y),z,u) \ 1). [para(6366(a,1),6184(a,1,1,2,2))]. 6369 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(6362(a,1),5252(a,2,2))]. 6370 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(255,a,5791,a(flip),b,6363,a(flip))]. 6372 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(450(a,1),6363(a,1,2)),flip(a)]. 6373 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(21(a,1),6370(a,2,2,1))]. 6374 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(21(a,1),6370(a,2,2,2))]. 6375 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(70(a,1),6370(a,1,1,2)),flip(a)]. 6376 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(5583(a,1),6374(a,1,1))]. 6377 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(120(a,2),6375(a,1,2))]. 6378 R(K(x,y),T(y,z),u) = K(x,y). [para(4340(a,1),6375(a,1,2)),flip(a)]. 6379 (K(x,y) * T(y,z)) \ K(x,y) = T(y,z) \ 1. [hyper(80,a,6378,a(flip),b,193,a)]. 6380 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(6378(a,1),122(a,1,1)),flip(a)]. 6381 K(x,R(y,T(y,x) \ z,u)) = R(K(x,T(y,x)),z,u). [hyper(5504,a,6377,a)]. 6382 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(18(a,1),6377(a,1,2,2)),flip(a)]. 6383 R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). [para(37(a,2),6377(a,1,2,2)),flip(a)]. 6384 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(149(a,1),6377(a,1,2,2)),flip(a)]. 6385 R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). [para(5556(a,1),6377(a,1,2,2)),flip(a)]. 6386 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(6238,a,6382,a),flip(a)]. 6387 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(255,a,6204,a(flip),b,6382,a(flip)),flip(a)]. 6388 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6382(a,1),47(a,2,1))]. 6389 R(x,y,x) \ K(x * y,x) = T(x,y) \ 1. [para(5541(a,1),6379(a,1,1))]. 6390 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(6238,a,6376,a),flip(a)]. 6391 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(255,a,5786,a,b,6376,a)]. 6392 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(6376(a,1),6238(a,1))]. 6394 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1836(a,1),6390(a,1,2)),flip(a)]. 6395 L(x,T(y,z),K(u,y)) = x. [hyper(422,a,6380,a)]. 6396 K(x,R(y,T(y,x) \ z,u)) = R(K(x,y),z,u). [para(5373(a,1),6381(a,2,1))]. 6397 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(482(a,1),6364(a,1,2,1)),flip(a)]. 6399 R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1). [para(20(a,1),6391(a,1,1,2,1))]. 6400 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(6391(a,1),47(a,2,1))]. 6401 R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1). [para(21(a,1),6399(a,2,2,1,2))]. 6402 x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). [para(19(a,1),5772(a,1,2,2,1))]. 6403 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(5402(a,1),5888(a,1,1,1)),flip(a)]. 6404 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(3146(a,1),5916(a,1,1))]. 6405 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(4065(a,1),6015(a,1,2)),flip(a)]. 6406 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(5072,a,6021,a),flip(a)]. 6408 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(6046,a,6049,a),flip(a)]. 6409 K(x / y,(x / y) \ x) = K(y \ x,y). [hyper(23,a,5859,a(flip),b,6080,a)]. 6412 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(6140(a,2),157(a,1))]. 6413 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(255,a,60,a(flip),b,6142,a)]. 6415 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x \ 1,u,w)). [hyper(255,a,6028,a(flip),b,6152,a)]. 6416 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6362(a,1),6213(a,1,1)),flip(a)]. 6417 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(541,a,6416,a)]. 6418 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(510,a,6416,a)]. 6420 ((x \ 1) * y) / ((x \ K(x,z)) * y) = R(K(z,x),x \ 1,y). [para(3605(a,1),6417(a,1,2,1))]. 6421 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(255,a,5572,a(flip),b,6215,a(flip))]. 6422 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5515(a,1),6215(a,1,1))]. 6424 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(848(a,1),6216(a,1,2)),flip(a)]. 6425 K(x \ y,y) / (y \ T(y * (x \ 1),y)) = x. [hyper(81,a,6421,a(flip),b,6218,a)]. 6426 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6425(a,1),148(a,1,2,1))]. 6427 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6426(a,1),1980(a,2,2,1))]. 6429 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(255,a,6236,a(flip),b,6237,a(flip))]. 6430 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(96,a,6245,a),flip(a)]. 6431 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(18(a,1),6250(a,2,2,2,1))]. 6434 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(81,a,6342,a(flip),b,2899,a)]. 6435 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x,u,w) \ 1). [hyper(255,a,6028,a(flip),b,6365,a)]. 6436 R(K(x,y),K(x,y) * z,u) = R(K(x,y),z,u). [hyper(255,a,6396,a(flip),b,6385,a)]. 6437 R(K(x,y),y \ K(y,x),z) = R(K(x,y),y \ 1,z). [para(5603(a,1),6436(a,1,2)),flip(a)]. 6438 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = ((((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z)) * (x \ 1)) * z. [para(6437(a,2),1882(a,2,2,1)),flip(a)]. 6439 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(5132(a,1),6394(a,1,2,1))]. 6440 R(x,y,z) * (K(u,x) * w) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5. [para(6404(a,1),454(a,1))]. 6443 T(x,R(x \ 1,y,z)) = T(x,R(x,u,w) \ 1). [hyper(22,a,6415,a(flip),b,6435,a(flip)),flip(a)]. 6444 T(x,R(x,y,z) \ 1) = T(x,x \ 1). [hyper(255,a,4165,a(flip),b,6443,a(flip))]. 6445 (R(x,y,z) \ 1) * T(x,x \ 1) = R(x,y,z) \ x. [para(6444(a,1),1312(a,1,2))]. 6446 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = R(x,y,z) \ x. [hyper(255,a,274,a(flip),b,6445,a(flip)),flip(a)]. 6448 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(255,a,6076,a(flip),b,6446,a(flip)),flip(a)]. 6449 T(1 / R(x,y,z),x) = R(x,y,z) \ 1. [hyper(172,a,6448,a,b,1308,a)]. 6450 x / R(x,y,z) = R(x,y,z) \ x. [hyper(255,a,1952,a(flip),b,6448,a(flip)),flip(a)]. 6452 (x / R(x,y,z)) * u = (R(x,y,z) \ x) * u. [hyper(27,a,6450,a)]. 6453 (R(x,y,z) \ x) * R(x,y,z) = x. [para(6450(a,1),21(a,1,1))]. 6454 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(6450(a,1),6370(a,1,1,2))]. 6455 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(6450(a,2),6137(a,1,2,1))]. 6456 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(6453(a,1),5011(a,1,1,1))]. 6457 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(255,a,5335,a,b,6456,a(flip)),flip(a)]. 6458 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(255,a,2189,a,b,5367,a(flip)),flip(a)]. 6459 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(5592(a,1),5613(a,1,2))]. 6460 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(255,a,6416,a(flip),b,5703,a(flip)),flip(a)]. 6462 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(255,a,6192,a(flip),b,5779,a(flip))]. 6464 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(6462(a,1),21(a,1,1))]. 6465 x / L(x,y,z) = L(x,y,z) \ x. [hyper(255,a,1837,a(flip),b,6464,a(flip)),flip(a)]. 6466 (L(x,y,z) \ x) \ x = L(x,y,z). [para(6465(a,1),73(a,1,1))]. 6468 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(5187(a,1),5929(a,1,1))]. 6470 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(6468,a,xx),flip(a)]. 6473 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1723(a,1),6470(a,1,1)),flip(a)]. 6475 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3312(a,1),6470(a,1,1)),flip(a)]. 6476 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(5381(a,1),6470(a,1,1,1)),flip(a)]. 6477 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5967(a,1),6470(a,1,1)),flip(a)]. 6479 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(6475(a,1),5381(a,1,1)),flip(a)]. 6480 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(6475(a,1),5600(a,1,1)),flip(a)]. 6483 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(255,a,6191,a(flip),b,6479,a(flip))]. 6484 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [para(6483(a,1),70(a,1,2))]. 6485 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(6483(a,1),303(a,1,2)),flip(b)]. 6486 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6484(a,1),219(a,1,1)),flip(b)]. 6488 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(6191(a,1),6480(a,1,1)),flip(a)]. 6489 x / (L(K(y,z),u,w) * x) = L(K(z,y),u,w). [hyper(416,a,6488,a)]. 6490 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(255,a,2077,a(flip),b,6488,a)]. 6491 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(222,a,6488,a)]. 6492 x / (L(K(y,z),u,w) * x) != v5 | L(K(z,y),u,w) = v5. [para(6488(a,1),303(a,1,2)),flip(b)]. 6493 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(6489(a,1),89(a,1,1)),flip(b)]. 6496 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(5169(a,1),5960(a,1,1)),flip(a)]. 6497 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(255,a,45,a,b,6496,a)]. 6498 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(6497(a,1),49(a,1,1)),flip(a)]. 6501 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(6002(a,1),6208(a,1,1))]. 6502 R(K(x \ (y / z),x),y / z,z) = K(((x * z) / y) \ 1,x). [para(21(a,1),6501(a,2,1,1,2))]. 6503 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(73(a,1),6243(a,1,2,2)),flip(a)]. 6505 (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). [hyper(80,a,6378,a(flip),b,6367,a(flip)),flip(a)]. 6506 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(5853(a,1),6505(a,1,1))]. 6509 R(K(x \ (y / z),x),y / z,z) != u | K(y / (x * z),x) = u. [para(6502(a,2),6146(a,1))]. 6510 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(5261(a,1),5399(a,1,2))]. 6511 T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. [para(5407(a,1),5940(a,1))]. 6512 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1955,a,5426,a),flip(a)]. 6513 (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). [para(5308(a,1),5460(a,1,2)),flip(a)]. 6514 (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). [para(1891(a,1),6513(a,2,2))]. 6518 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(255,a,6118,a(flip),b,5698,a)]. 6519 K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). [para(6518(a,1),3543(a,1,2))]. 6520 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(5547(a,1),5743(a,1,1,2)),flip(a)]. 6521 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [para(127(a,1),6019(a,2,2))]. 6523 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(529(a,1),6212(a,1,1,1)),flip(a)]. 6524 T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). [para(790(a,1),6234(a,1,1,1))]. 6525 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(73(a,1),6256(a,2,1,1))]. 6526 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(18(a,1),6525(a,1,2,2)),flip(a)]. 6528 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(80,a,6526,a,b,127,a)]. 6529 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3312(a,1),6257(a,2,1))]. 6531 K(x,y) * ((x \ 1) \ T(y,x)) = (x \ 1) \ y. [hyper(80,a,5207,a(flip),b,6529,a),flip(a)]. 6532 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(18(a,1),6529(a,1,2,2)),flip(a)]. 6533 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(37(a,2),6529(a,1,2,2))]. 6535 K(T(x,y),y) * ((T(x,y) \ 1) \ T(y,x)) = (T(x,y) \ 1) \ y. [para(4446(a,1),6531(a,1,2,2))]. 6536 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [para(127(a,1),6532(a,2,2))]. 6537 x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). [para(6532(a,2),190(a,1,2))]. 6539 ((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x). [para(6532(a,1),5605(a,1,2))]. 6540 ((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z) = K(y,x). [para(5608(a,1),6539(a,1,2,2))]. 6542 L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). [hyper(5668,a,6537,a),flip(a)]. 6543 T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). [para(5608(a,1),6542(a,1,1)),flip(a)]. 6544 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5515(a,2),6260(a,1,2))]. 6545 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(6020(a,1),6260(a,1,2)),flip(a)]. 6546 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(4621(a,1),6354(a,1,2))]. 6547 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(4621(a,1),6355(a,1,2))]. 6548 K((x \ (y / (z \ 1))) \ 1,y) = K((x \ (y * z)) \ 1,y). [hyper(255,a,6014,a(flip),b,6405,a)]. 6549 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(313,a,6422,a)]. 6550 ((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)). [hyper(255,a,6215,a,b,6424,a(flip)),flip(a)]. 6551 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(255,a,6090,a(flip),b,6510,a)]. 6552 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(5378(a,1),6512(a,1,2)),flip(a)]. 6553 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(255,a,5415,a(flip),b,6552,a)]. 6554 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(19(a,1),6553(a,1,1,1)),flip(a)]. 6555 (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(6519(a,1),3988(a,1,1)),flip(a)]. 6556 K(x,y) * ((T(x,y) \ 1) \ T(y,x)) = (T(x,y) \ 1) \ y. [para(5368(a,1),6535(a,1,1))]. 6557 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(87,a,6544,a)]. 6558 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6544(a,1),24(a,1))]. 6559 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6545(a,2),24(a,1))]. 6560 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6557(a,1),5025(a,1,1))]. 6561 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(18(a,1),6560(a,1,1,2,1)),flip(a)]. 6562 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6561(a,2),25(a,1))]. 6563 x * (y * ((z \ (y \ z)) * z)) = (x * K(y \ 1,z)) * z. [hyper(255,a,5118,a(flip),b,5530,a(flip)),flip(a)]. 6564 (x * K(y \ 1,z)) * z = x * (z * K(y \ 1,z)). [para(5224(a,1),6563(a,1,2)),flip(a)]. 6565 R(x,K(y \ 1,z),z) = x. [hyper(3159,a,6564,a)]. 6566 R(x,K(y,z),z) = x. [para(73(a,1),6565(a,1,2,1))]. 6567 R(x,y,K(z,y)) = x. [hyper(6332,a,6566,a)]. 6568 (x * K(y,z)) * z = x * (z * K(y,z)). [para(6566(a,1),3157(a,1,1)),flip(a)]. 6569 (x * y) * K(z,y) = x * (y * K(z,y)). [para(6567(a,1),122(a,1,1)),flip(a)]. 6570 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(87,a,6568,a)]. 6572 L(K(x,y),y,z) = K(x,y). [hyper(422,a,6569,a)]. 6573 (x * K(y,z)) * z = (x * z) * K(y,z). [hyper(255,a,6568,a,b,6569,a),flip(a)]. 6574 (x * y) * K(z,y) = x * ((z * y) / z). [hyper(255,a,5421,a,b,6569,a)]. 6576 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(5268(a,1),6569(a,2,2))]. 6577 L(K(x,y),y,z) = K(x,y * K(x,y)). [hyper(255,a,5392,a,b,6572,a)]. 6579 a(x,y,K(z,y)) = 1. [hyper(39,a,6572,a)]. 6580 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(255,a,6195,a(flip),b,6572,a(flip)),flip(a)]. 6581 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(6572(a,1),50(a,1,1)),flip(a)]. 6583 L(K(x,y),x,z) = K(y,x) \ 1. [para(6572(a,1),6483(a,1,1)),flip(a)]. 6584 a(x,T(y,z),K(z,y)) = 1. [para(4195(a,1),6579(a,1,3))]. 6585 L(K(x,y),T(y,x),z) = K(x,y). [hyper(38,a,6584,a)]. 6586 L(K(x,y),x,z) = K(x,y). [hyper(255,a,5381,a(flip),b,6583,a)]. 6587 L(K(x,y),x,z) != u | K(x,y) = u. [para(6583(a,2),5384(a,1))]. 6588 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(255,a,5256,a,b,6586,a(flip)),flip(a)]. 6589 x \ ((x / y) * T(y,z)) = K(y,z). [hyper(255,a,5260,a(flip),b,6586,a(flip)),flip(a)]. 6591 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(6586(a,1),495(a,1,2,1))]. 6594 (x * T(y,z)) \ (x * y) = K(z,y). [hyper(255,a,5202,a(flip),b,6585,a(flip)),flip(a)]. 6597 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [hyper(255,a,5381,a,b,6580,a)]. 6598 K((x \ y) \ 1,(y \ x) \ 1) = K(y \ x,x \ y). [hyper(255,a,2789,a(flip),b,6580,a)]. 6599 T(K(x,y / z),y) = K(x,z \ y). [hyper(255,a,6088,a,b,6580,a(flip)),flip(a)]. 6602 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(29(a,2),6580(a,1,2,1)),flip(a)]. 6604 K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). [para(114(a,2),6580(a,1,2,1))]. 6605 K(x,L(y,z \ 1,z) \ z) = K(x,((z \ 1) * y) \ 1). [para(383(a,1),6580(a,1,2,1)),flip(a)]. 6606 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(643(a,1),6580(a,1,2,1)),flip(a)]. 6610 K(x,(y \ K(z,u)) \ 1) = K(x,K(u,z) * y). [para(5600(a,1),6580(a,2,2))]. 6611 K(x,y \ z) * K(x * ((z \ y) \ 1),x) = x \ R(x,(z \ y) \ 1,x). [para(6580(a,1),5726(a,1,1))]. 6612 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(6580(a,1),6185(a,1,1)),flip(a)]. 6613 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6580(a,1),5775(a,1,2))]. 6614 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6580(a,1),6358(a,1,1)),flip(a)]. 6615 K(x,y) * K(y,z \ (x * z)) = K(x * z,K(x,y)). [para(6580(a,1),6133(a,1,2))]. 6618 (x * y) * K(y,z) = x * T(y,z). [para(6588(a,1),19(a,1,2))]. 6619 x \ (y * T(y \ x,z)) = K(y \ x,z). [para(19(a,1),6588(a,1,1))]. 6620 ((x / T(y,z)) * y) \ x = K(y,z). [para(21(a,1),6588(a,1,2))]. 6621 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6588(a,1),220(a,1,2)),flip(b)]. 6627 (x * (y / x)) \ (K(x,x \ y) * T(y,z)) = K(y,z). [para(5271(a,1),6588(a,1,1))]. 6629 (x / y) * T(y,z) = x * K(y,z). [para(6589(a,1),19(a,1,2)),flip(a)]. 6631 (x / y) \ (x * K(y,z)) = T(y,z). [para(6589(a,1),65(a,1,2,2))]. 6633 (x * T(y,z)) * K(z,y) = x * y. [para(6594(a,1),19(a,1,2))]. 6634 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(19(a,1),6594(a,1,2))]. 6635 ((x / y) * T(y,z)) \ x = K(z,y). [para(21(a,1),6594(a,1,2))]. 6641 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(6214,a,6618,a)]. 6642 R(x,y,K(y,z)) = x. [hyper(5331,a,6618,a)]. 6643 x * T(x \ y,z) = y * K(x \ y,z). [hyper(519,a,6618,a),flip(a)]. 6645 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(172,a,6618,a,b,19,a),flip(a)]. 6647 x * T(x \ y,z) != u | y * K(x \ y,z) = u. [para(6618(a,1),519(a,1))]. 6649 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(6618(a,1),487(a,1,2))]. 6650 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(6618(a,1),457(a,1,1))]. 6652 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(5175(a,1),6618(a,1,1)),flip(a)]. 6653 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(6618(a,1),6568(a,1,1)),flip(a)]. 6659 (x * T(y,z)) / y = x * K(y,z). [hyper(255,a,1345,a,b,6629,a(flip)),flip(a)]. 6660 (x / T(y,z)) * K(y,z) = x / y. [hyper(255,a,1346,a(flip),b,6629,a(flip))]. 6662 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6629(a,1),860(a,1,2,1))]. 6663 (x * K(y,z)) * y = x * T(y,z). [para(6629(a,1),1343(a,1,1))]. 6664 (x * K(y,z)) \ (x * T(y,z)) = y. [para(6629(a,1),1347(a,1,1))]. 6665 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(6631(a,1),6032(a,1,2))]. 6666 (x * K(y,z)) / z = x / T(z,y). [hyper(535,a,6633,a)]. 6667 (x / T(y,z)) * y = x * K(z,y). [hyper(308,a,6633,a),flip(a)]. 6669 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). [para(6633(a,1),457(a,1,2)),flip(a)]. 6670 (x * K(y,z)) \ x = K(z,y). [para(6629(a,1),6635(a,1,1))]. 6671 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(255,a,6191,a(flip),b,6670,a)]. 6672 (x * K(y,z)) * K(z,y) = x. [para(6670(a,1),19(a,1,2))]. 6673 x / K(y,z) = x * K(z,y). [para(6670(a,1),70(a,1,2))]. 6674 x * K(y,z) != u | u * K(z,y) = x. [para(6670(a,1),94(a,1,2)),flip(b)]. 6675 (x * K(y,z)) * K(z,y) != u | u = x. [para(6670(a,1),220(a,1,2))]. 6677 x / K(y,z) != u | x * K(z,y) = u. [para(6670(a,1),303(a,1,2)),flip(b)]. 6678 L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). [para(6670(a,1),114(a,1,1))]. 6680 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(6670(a,2),5600(a,1,1))]. 6681 (x \ R(x,y,x)) \ K(x * y,x) = K(y,x). [para(5942(a,1),6670(a,1,1))]. 6682 (K(x,y) * z) \ z = T(K(y,x),z). [para(6670(a,1),6303(a,1,1)),flip(a)]. 6683 L(L(K(x,y),z,u),K(y,x),w) = L(K(x,y),z,u). [para(6670(a,1),5398(a,2,1))]. 6684 (x * (y * K(z,u \ 1))) \ (x * y) = K(L(u,y,x) \ 1,z). [para(6190(a,1),6670(a,1,1))]. 6685 (x * (y * K(z,y))) \ (x * y) = K(y,z). [para(6569(a,1),6670(a,1,1))]. 6686 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(172,a,6672,a,b,5608,a)]. 6687 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [hyper(23,a,6102,a,b,6672,a)]. 6688 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(23,a,3604,a,b,6672,a)]. 6689 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(23,a,2075,a,b,6672,a)]. 6692 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y * K(z,u),K(u,z)). [para(6672(a,1),29(a,2,1,2)),flip(a)]. 6693 (x * K(y,z)) \ x != u | K(z,y) = u. [para(6672(a,1),222(a,1,2)),flip(b)]. 6695 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(6672(a,1),112(a,1,1))]. 6697 R(x * K(y,z),K(z,y),u) \ (x * u) = K(z,y) * u. [para(6672(a,1),149(a,1,2,1))]. 6699 (x * K(y,z)) * (y * K(z,y)) = x * y. [para(6672(a,1),6568(a,1,1)),flip(a)]. 6700 x / K(y,z) != x * u | K(z,y) = u. [para(6673(a,2),24(a,1))]. 6701 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(6673(a,1),253(a,1,1))]. 6706 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [hyper(80,a,6641,a(flip),b,5187,a),flip(a)]. 6707 K((x \ y) \ 1,z) = K(y \ x,z). [para(19(a,1),6641(a,1,1,1,1))]. 6709 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(6641(a,1),5334(a,1,2))]. 6712 x \ (y * T(x,z)) = T(y * K(x,z),x). [para(6659(a,1),129(a,1,1)),flip(a)]. 6713 x * T(y * K(x,z),x) = y * T(x,z). [para(6659(a,1),171(a,1,2,1))]. 6714 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(6659(a,1),226(a,1,1)),flip(b)]. 6716 T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. [para(6659(a,1),6157(a,1,1))]. 6718 (x / y) * K(z,y) = x / T(y,z). [hyper(23,a,6672,a,b,6660,a),flip(a)]. 6719 (x * K(y,z)) * y = (x * y) * K(y,z). [hyper(255,a,6618,a,b,6663,a)]. 6722 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(80,a,6629,a(flip),b,6663,a)]. 6723 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(23,a,4695,a(flip),b,6663,a)]. 6724 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6663(a,1),29(a,2,1,2)),flip(a)]. 6725 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(6663(a,1),162(a,2,1))]. 6728 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(5206(a,1),6663(a,1,1))]. 6729 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6663(a,1),5946(a,1,2,1))]. 6730 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(6569(a,1),6663(a,1,1))]. 6731 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(6633(a,1),6663(a,1,1)),flip(a)]. 6732 (x * K(y,z)) * T(z,y) = x * z. [para(6672(a,1),6663(a,1,1)),flip(a)]. 6733 L(x,K(x,y),z) = x. [hyper(5349,a,6664,a)]. 6734 L(T(x,y),K(x,z),u) = T(x,y). [para(6733(a,1),45(a,2,1))]. 6735 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6733(a,1),429(a,1,2,1))]. 6737 L(x * y,K(y * x,z),u) = (y \ (y * x)) * y. [para(6733(a,1),5115(a,1,1,2)),flip(a)]. 6740 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(6734(a,1),50(a,1,1)),flip(a)]. 6741 x \ (y * K(z,x)) = T(y / T(x,z),x). [para(6666(a,1),129(a,1,1)),flip(a)]. 6743 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(6666(a,1),4593(a,1,1,2))]. 6744 T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). [para(6666(a,1),4594(a,1,1,1,2))]. 6745 (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). [para(6666(a,1),6629(a,1,1))]. 6746 x * K(y,z) != u * z | x / T(z,y) = u. [para(6667(a,1),25(a,1))]. 6750 (K(x,y) * z) * T(K(y,x),z) = z. [para(6682(a,1),19(a,1,2))]. 6752 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(6688(a,1),123(a,2,2))]. 6754 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(255,a,6015,a,b,6707,a(flip)),flip(a)]. 6755 T(K(x / y,z),x) = K(y \ x,z). [hyper(255,a,5962,a,b,6707,a(flip)),flip(a)]. 6756 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(255,a,6548,a(flip),b,6707,a(flip)),flip(a)]. 6757 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(255,a,5961,a(flip),b,6707,a(flip))]. 6759 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(37(a,2),6707(a,1,1,1))]. 6761 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(114(a,2),6707(a,1,1,1))]. 6764 T(x,(y \ z) \ 1) = K(z \ y,x) \ x. [para(6707(a,1),5208(a,2,1))]. 6768 T(x,(y \ z) \ x) * K(z \ y,x) = L(x,(y \ z) \ 1,x). [para(6707(a,1),5725(a,1,2))]. 6769 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [para(6707(a,1),6018(a,2,2))]. 6772 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(6707(a,1),5518(a,1,2))]. 6773 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(6707(a,1),6406(a,1,2))]. 6774 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(6707(a,1),6470(a,1,1)),flip(a)]. 6775 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(6707(a,1),6521(a,1,2))]. 6776 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(6707(a,1),6023(a,1,1,2)),flip(a)]. 6777 x / T(y \ x,z) = y * K(z,y \ x). [hyper(302,a,6718,a),flip(a)]. 6778 (x / y) * K(x,y) = T(x,y) / y. [hyper(255,a,4456,a,b,6718,a)]. 6780 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(80,a,6718,a(flip),b,5905,a(flip)),flip(a)]. 6782 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(87,a,6723,a),flip(a)]. 6783 (x \ y) * K(y,x) = x \ T(y,x). [hyper(23,a,6672,a,b,6723,a),flip(a)]. 6784 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(87,a,6732,a)]. 6788 K(x / y,z) * x = x * K(y \ x,z). [para(6755(a,1),127(a,1,2)),flip(a)]. 6790 K(T(x,x \ y),z) = T(K(x,z),y). [para(128(a,2),6757(a,1,1))]. 6791 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(6179,a,6778,a)]. 6792 x \ T(x * y,x) = y * K(x * y,x). [para(18(a,1),6783(a,1,1)),flip(a)]. 6794 T(x,y) * K(y,T(x,y)) != z | z = x. [para(5212(a,1),6675(a,1,1))]. 6795 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(6660(a,1),6675(a,1,1)),flip(b)]. 6797 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5984(a,1),6693(a,1,1))]. 6798 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5986(a,1),6693(a,1,1))]. 6799 (x * (y * K(z,y))) \ (x * y) != u | K(y,z) = u. [para(6569(a,1),6693(a,1,1))]. 6800 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(6095(a,1),6794(a,1))]. 6804 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(686,a,6570,a)]. 6805 L(x,K(y,x),z) = x. [para(3140(a,1),6804(a,1,1))]. 6806 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(6805(a,1),427(a,1,2,1))]. 6807 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(6805(a,1),428(a,1,2,1))]. 6808 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(6805(a,1),429(a,1,2,1))]. 6814 (x * ((y * z) / y)) * K(z,y) = x * z. [hyper(6674,a,6574,a)]. 6816 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(6574(a,1),6663(a,1,1))]. 6817 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(6597(a,2),5384(a,1))]. 6821 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(6619(a,1),439(a,1,1))]. 6823 x \ (y \ ((z \ (y * x)) * z)) = K((y \ z) \ x,z). [para(881(a,1),6619(a,1,2))]. 6826 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(1138(a,1),6634(a,1,1))]. 6827 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(832(a,1),6634(a,1,1))]. 6828 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1638(a,1),6634(a,1,1))]. 6829 T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). [para(2323(a,1),6634(a,1,1))]. 6832 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(6643(a,2),222(a,1,2)),flip(b)]. 6834 (x * K(y \ x,z)) * (y \ 1) = T(x * (y \ 1),z). [para(6643(a,1),973(a,1,1))]. 6837 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(6686(a,1),6101(a,1,1))]. 6838 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(6686(a,1),6800(a,1,1)),flip(b)]. 6839 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(5600(a,2),6687(a,1,1))]. 6840 (x * y) / ((z * y) / z) = x * K(y,z). [hyper(5838,a,6699,a)]. 6841 x / (y * K(z,y)) = (x / y) * K(y,z). [hyper(81,a,21,a(flip),b,6699,a)]. 6847 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(80,a,112,a(flip),b,6731,a)]. 6848 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(6731(a,1),4481(a,1,2))]. 6849 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(255,a,5968,a(flip),b,6759,a(flip))]. 6850 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(255,a,5208,a,b,6764,a)]. 6852 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(6764(a,2),5227(a,1))]. 6854 T(x,(y * z) \ y) = T(x,z \ 1). [para(18(a,1),6850(a,1,2,1)),flip(a)]. 6858 T(x,L(y \ 1,y,z) \ 1) = T(x,z \ (z * y)). [para(162(a,2),6850(a,1,2,1))]. 6861 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(6850(a,1),6159(a,1))]. 6864 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(23,a,3145,a(flip),b,6788,a)]. 6866 (x \ T(x * y,x)) \ (y * K(z,K(x * y,x))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(6792(a,2),5366(a,1,1))]. 6867 (x / ((y * z) / y)) * z = x * K(z,y). [hyper(308,a,6814,a),flip(a)]. 6870 T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u). [para(6837(a,1),43(a,1,1)),flip(a)]. 6871 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(6837(a,1),6800(a,1,1)),flip(b)]. 6873 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(255,a,5438,a(flip),b,6840,a(flip)),flip(a)]. 6874 x / ((y * z) / y) = (x / z) * K(z,y). [hyper(255,a,251,a(flip),b,6840,a(flip)),flip(a)]. 6878 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(5268(a,1),6841(a,1,2)),flip(a)]. 6882 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(4524(a,1),6867(a,1,1,2))]. 6884 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(6674,a,6874,a(flip))]. 6886 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [para(19(a,1),6884(a,1,1,2,1))]. 6890 ((x * y) * z) * K(y * z,u) != w | R(x,y,z) * T(y * z,u) = w. [para(122(a,1),6621(a,1,1))]. 6891 x \ (R(x,y,x) * T(R(x,y,x) \ (x * K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(6681(a,1),1553(a,2,2,1))]. 6893 (x * ((y * z) / y)) * y != u | (x * z) * T(y,z) = u. [para(6574(a,1),6714(a,1,1))]. 6895 x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. [para(144(a,1),6795(a,1,1))]. 6896 K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u. [para(37(a,2),6817(a,1,2,1))]. 6900 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(6088(a,2),6817(a,1))]. 6901 T(x,T(y,z) \ 1) != u | T(x,(y * z) \ z) = u. [para(37(a,2),6852(a,1,2,1))]. 6902 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(3341(a,1),6900(a,1))]. 6906 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(255,a,2410,a(flip),b,6613,a),flip(a)]. 6907 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(255,a,5413,a(flip),b,6645,a(flip))]. 6908 x * T(y / x,T(x,z)) = T(y,K(x,z)). [para(21(a,1),6907(a,1,1)),flip(a)]. 6909 x \ T(y,K(x,z)) = T(y / x,T(x,z)). [hyper(87,a,6908,a)]. 6911 ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). [hyper(81,a,6730,a(flip),b,122,a)]. 6914 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(255,a,5009,a(flip),b,6769,a(flip)),flip(a)]. 6915 K((x \ 1) \ y,x) = K(x * y,x). [hyper(22,a,6792,a(flip),b,6769,a(flip))]. 6916 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6769(a,1),5026(a,1,1))]. 6917 K((1 / x) \ y,x) = K(x * y,x). [hyper(255,a,5755,a,b,6915,a(flip)),flip(a)]. 6918 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(255,a,3337,a,b,6816,a)]. 6922 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(6666(a,1),6882(a,1,1)),flip(a)]. 6927 L(x * y,K(y * x,z),u) = x * y. [para(18(a,1),6737(a,2,1))]. 6928 (x * K(y * z,u)) * (z * y) = x * (K(y * z,u) * (z * y)). [para(6927(a,1),112(a,1,2))]. 6929 (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. [para(6740(a,1),224(a,1,2))]. 6931 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(881(a,1),6832(a,1,2))]. 6933 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(832(a,1),6832(a,1,2))]. 6934 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(5513(a,1),6832(a,1))]. 6936 T(K(x / y,z),x) != u | K(y \ x,z) = u. [para(5962(a,2),6934(a,1))]. 6939 K(x / y,x) != z | K(y \ x,x) = z. [para(3139(a,1),6936(a,1))]. 6941 T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. [para(5608(a,1),6838(a,1,1))]. 6942 T(x,L(y \ 1,y,z) \ 1) = T(x,y). [para(18(a,1),6858(a,2,2))]. 6943 T(x,x \ T(x * y,y \ 1)) = T(x,y). [hyper(255,a,6242,a,b,6942,a(flip)),flip(a)]. 6945 T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,y). [para(21(a,1),6943(a,1,2,2,1))]. 6947 T(x * T(y,z),K(z,y)) != u | K(y,z) * (x * y) = u. [para(6618(a,1),6871(a,1,1))]. 6949 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(3052(a,1),6612(a,1,2,1)),flip(a)]. 6950 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(37(a,2),6615(a,1,2,2))]. 6951 T(K(x,y),y * z) = K(x,T(y,z)). [hyper(22,a,6090,a,b,6950,a),flip(a)]. 6952 T(K(x,y),z * y) = K(x,T(y,z)). [hyper(255,a,6298,a,b,6951,a(flip)),flip(a)]. 6953 K(x,T(y,y \ z)) = T(K(x,y),z). [para(19(a,1),6951(a,1,2)),flip(a)]. 6954 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(6951(a,1),127(a,1,2))]. 6955 K(x,y) * K(y,T(x,z)) != u | K(x * z,K(x,y)) = u. [para(6951(a,1),6116(a,1,2))]. 6956 K(x,T(y,z / y)) = T(K(x,y),z). [para(21(a,1),6952(a,1,2)),flip(a)]. 6957 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(255,a,5900,a(flip),b,6954,a)]. 6958 K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). [hyper(255,a,5053,a,b,6652,a),flip(a)]. 6960 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(162(a,2),6706(a,1,1,1))]. 6965 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(5147(a,1),6754(a,1,2))]. 6966 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(6934,a,6756,a),flip(a)]. 6967 (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. [hyper(6674,a,6772,a)]. 6968 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))). [para(6772(a,1),4154(a,1,2,2)),flip(a)]. 6970 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(22,a,6773,a,b,6775,a)]. 6971 (x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z). [para(6775(a,1),6670(a,1,1))]. 6972 1 / K((x * y) \ z,x) = K(x,(y * x) \ z). [para(6970(a,1),5394(a,1,2))]. 6973 K(x,(y * x) \ z) = K(x,(x * y) \ z). [hyper(5395,a,6972,a),flip(a)]. 6974 K(x,(y * x) \ z) != u | K(x,(x * y) \ z) = u. [para(6972(a,1),5395(a,1))]. 6975 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5726(a,1),6791(a,1,2))]. 6976 R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). [para(6975(a,1),160(a,2,2))]. 6977 R(x,K(y,z),T(z,u)) = x. [hyper(454,a,6806,a)]. 6978 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [hyper(5918,a,6834,a)]. 6980 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5763(a,1),6914(a,2,2))]. 6981 T(x / y,(x / y) \ T(x,y \ 1)) = y \ x. [hyper(255,a,129,a(flip),b,6945,a)]. 6982 T(x,y \ 1) / (y \ x) = (x / y) \ T(x,y \ 1). [para(6981(a,1),199(a,1,2))]. 6983 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(255,a,6823,a(flip),b,6965,a(flip))]. 6984 (x \ y) * K((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(6967(a,1),6675(a,1,1)),flip(b)]. 6985 T(x,(y \ 1) \ 1) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(3371(a,1),6982(a,2,2))]. 6986 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [hyper(255,a,6612,a(flip),b,6604,a(flip)),flip(a)]. 6987 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(6587,a,6986,a),flip(a)]. 6988 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(19(a,1),6986(a,2,2,1))]. 6989 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(19(a,1),6986(a,2,2,2))]. 6990 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(73(a,1),6986(a,1,1,2)),flip(a)]. 6991 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(114(a,2),6986(a,2,2))]. 6992 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(19(a,1),6987(a,1,2,1)),flip(a)]. 6994 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [para(6987(a,1),5252(a,2,2))]. 6995 K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). [para(5608(a,1),6987(a,1,2,1)),flip(a)]. 6996 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(255,a,6439,a(flip),b,6992,a(flip))]. 6997 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(6293(a,2),6992(a,1,2,1))]. 6998 K(x,L(y \ z,y,K(z,u))) = K(x,y \ z). [hyper(255,a,4398,a(flip),b,6991,a(flip))]. 6999 L(K(x,y \ z),z,y \ 1) = K(x,(1 / y) * z). [para(3052(a,1),6991(a,2,2))]. 7000 K(x,(K(y,z) * u) \ T(y,z)) = K(x,u \ y). [para(5345(a,1),6998(a,1,2))]. 7001 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(255,a,5252,a,b,6994,a)]. 7002 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(19(a,1),7001(a,1,2,1)),flip(a)]. 7004 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(6988(a,1),45(a,2,1))]. 7005 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(6988(a,1),112(a,1,2))]. 7006 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(19(a,1),6990(a,1,2,2))]. 7007 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(116(a,2),6990(a,1,2))]. 7008 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [hyper(255,a,6483,a,b,7007,a)]. 7009 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(20(a,1),7007(a,1,2,2)),flip(a)]. 7010 L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)). [para(6659(a,1),7007(a,1,2,2)),flip(a)]. 7011 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(5004,a,7009,a),flip(a)]. 7012 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(255,a,6581,a,b,7009,a(flip)),flip(a)]. 7015 T(x,K(y,L(x,z,u))) = x. [para(7009(a,1),3223(a,1,2))]. 7017 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(7008(a,2),6486(a,1))]. 7018 L(K(x,y \ z),z,y \ 1) = K(x,(y \ 1) * z). [hyper(255,a,5807,a(flip),b,6999,a)]. 7019 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). [para(437(a,1),7011(a,1,2)),flip(a)]. 7020 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(7009(a,1),7012(a,1,1))]. 7021 K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. [para(70(a,1),7017(a,1,2,2))]. 7022 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(116(a,1),7017(a,1,2))]. 7024 (x * K(y,z)) \ (x * T(y,u)) = K(z,y) * T(y,u). [para(6977(a,1),6697(a,1,1))]. 7025 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [para(7024(a,1),298(a,1,2))]. 7026 (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). [para(3360(a,1),7025(a,1,2)),flip(a)]. 7027 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(5540(a,1),7025(a,1,2)),flip(a)]. 7028 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(5541(a,1),7025(a,1,2)),flip(a)]. 7029 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(7028(a,1),6663(a,1,1)),flip(a)]. 7030 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(255,a,6774,a(flip),b,6761,a(flip)),flip(a)]. 7031 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(255,a,5889,a(flip),b,7030,a)]. 7032 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(19(a,1),7030(a,2,1,1))]. 7033 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(19(a,1),7030(a,2,1,2))]. 7034 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(73(a,1),7030(a,1,1,1)),flip(a)]. 7035 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(127(a,1),7030(a,2,1,2))]. 7036 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(114(a,2),7030(a,2,1))]. 7037 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(5608(a,1),7030(a,2,1,1))]. 7038 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(6915(a,1),7030(a,1,1))]. 7039 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(1977(a,2),7036(a,2,1))]. 7040 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(3052(a,1),7036(a,2,1))]. 7041 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(255,a,7020,a(flip),b,7032,a(flip)),flip(a)]. 7042 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(255,a,6988,a(flip),b,7032,a(flip)),flip(a)]. 7043 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(255,a,6572,a(flip),b,7032,a(flip)),flip(a)]. 7044 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(116(a,2),7034(a,1,1))]. 7045 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(255,a,33,a(flip),b,7044,a)]. 7046 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(20(a,1),7044(a,1,1,2)),flip(a)]. 7047 K(L(x,y,z),y * x) = K(x,y * x). [hyper(255,a,6572,a(flip),b,7046,a(flip))]. 7048 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(7046(a,1),485(a,1,2))]. 7049 K(L(x,y,z),y * x) = K(x,x * y). [hyper(255,a,5842,a(flip),b,7047,a)]. 7050 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [hyper(5004,a,7040,a),flip(a)]. 7051 L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z). [hyper(255,a,5756,a(flip),b,7040,a)]. 7052 K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). [para(70(a,1),7050(a,1,1,1)),flip(a)]. 7053 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(6677,a,7048,a)]. 7054 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(7048(a,1),6700(a,1)),flip(a)]. 7056 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(6848(a,1),636(a,1))]. 7057 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [hyper(255,a,5816,a(flip),b,6949,a)]. 7058 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1723(a,1),6960(a,2,2))]. 7063 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(114(a,1),7021(a,1,2))]. 7064 K(x,(y * z) \ u) != w | L(K(x,z \ (y \ u)),y \ u,y) = w. [para(241(a,1),7021(a,1,2))]. 7065 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(255,a,6745,a(flip),b,7029,a(flip)),flip(a)]. 7066 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(255,a,3764,a(flip),b,7033,a(flip))]. 7067 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(7033(a,1),418(a,1,2)),flip(a)]. 7068 L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). [para(6915(a,1),7033(a,1,1))]. 7069 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6983(a,1),7033(a,1,1))]. 7070 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(255,a,5416,a,b,7066,a(flip)),flip(a)]. 7071 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(7045(a,2),431(a,1))]. 7072 K(L(x \ y,x,z),u) != w | L(K(x \ y,u),y,z) = w. [para(70(a,1),7071(a,1,1,2))]. 7073 K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1). [para(73(a,1),7057(a,1,1,2)),flip(a)]. 7074 K((x * y) \ (x * z),u) != w | L(K(y \ z,u),z,x) = w. [para(114(a,1),7072(a,1,1))]. 7075 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2545(a,2),6606(a,1,2))]. 7076 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(6475(a,1),6671(a,1,1,2))]. 7077 (x * L(K(y,z),u,w)) * L(K(z,y),u,w) = x. [para(7076(a,1),19(a,1,2))]. 7078 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(7076(a,1),70(a,1,2))]. 7079 x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. [para(7076(a,1),94(a,1,2)),flip(b)]. 7081 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(112(a,1),7076(a,1,1))]. 7082 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(418(a,1),7076(a,1,1))]. 7083 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(209,a,7077,a),flip(a)]. 7084 x / L(L(K(y,z),u,w),K(z,y),v5) = x * L(K(z,y),u,w). [para(6683(a,2),7078(a,1,2))]. 7085 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(7083(a,1),24(a,1)),flip(a)]. 7086 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(7083(a,1),222(a,1,2)),flip(b)]. 7088 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(80,a,6776,a(flip),b,6643,a(flip))]. 7089 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(73(a,1),7088(a,1,2,1,2,1)),flip(a)]. 7090 R(x,K(y,z),R(z,u,w)) = x. [hyper(454,a,6807,a)]. 7091 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(255,a,6701,a(flip),b,7090,a(flip)),flip(a)]. 7092 R(x,K(y,z),L(z,u,w)) = x. [hyper(454,a,6808,a)]. 7093 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (y \ z)) \ u). [para(881(a,1),6827(a,1,1,2))]. 7094 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(832(a,1),6827(a,1,1,2))]. 7095 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1743(a,1),6827(a,1,1,2))]. 7096 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(255,a,45,a,b,6847,a)]. 7101 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1423(a,1),6996(a,1,2)),flip(a)]. 7102 (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. [para(7026(a,1),3989(a,1,1)),flip(a)]. 7103 ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). [hyper(80,a,7052,a(flip),b,2516,a)]. 7104 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(5216(a,1),7096(a,2,1))]. 7105 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(449(a,2),6602(a,1,2))]. 7106 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(255,a,7081,a(flip),b,6678,a)]. 7107 K(L(x,y,z) \ 1,u) != w | L(K(x \ 1,u),y,z) = w. [para(6684(a,1),7086(a,1))]. 7108 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(6725(a,2),5453(a,1))]. 7109 T(x,y \ (z * x)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(7002(a,1),6768(a,1,1))]. 7110 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(6965(a,1),6931(a,1))]. 7113 (x / (K(y,z) * L(K(z,y),u,w))) * K(y,z) = x * L(K(y,z),u,w). [hyper(255,a,316,a(flip),b,7084,a(flip)),flip(a)]. 7114 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(73(a,1),6828(a,1,1,1,2,1))]. 7115 K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). [para(5547(a,1),6829(a,1,1,1)),flip(a)]. 7116 (x * K(y * z,u)) * (z * y) = x * (K(z,y) * T(y * z,u)). [para(6958(a,1),6928(a,2,2))]. 7117 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(3371(a,1),6985(a,1,1))]. 7118 ((x / (y \ 1)) \ T(x,y)) \ T(x,y) = (y \ 1) \ x. [para(7117(a,1),73(a,1,1))]. 7119 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(7005(a,1),24(a,1)),flip(a)]. 7120 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(59(a,1),7042(a,2,1))]. 7121 K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). [para(1309(a,1),7042(a,2,1))]. 7122 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(7067(a,2),6693(a,1,1))]. 7124 T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). [para(7115(a,2),19(a,1,2))]. 7125 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [hyper(255,a,5608,a(flip),b,7116,a)]. 7126 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(23,a,6197,a,b,7125,a),flip(a)]. 7127 (x * y) * (K(y,x) * K(y * x,z)) = T(y * x,z). [para(7126(a,1),19(a,1,2))]. 7129 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(6653(a,1),5636(a,1,1))]. 7130 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(466,a,7129,a),flip(a)]. 7131 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5608(a,1),5663(a,1,2,2)),flip(a)]. 7132 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6382(a,1),5868(a,1,1))]. 7133 (1 / x) * (L(x,y,z) \ x) = 1 / L(x,y,z). [hyper(255,a,6192,a(flip),b,6188,a(flip))]. 7136 (1 / x) * ((L(x,y,z) \ 1) * x) = T(1 / L(x,y,z),x). [para(7133(a,1),1432(a,1,1)),flip(a)]. 7137 (x \ 1) \ T(1 / L(x,y,z),x) = (L(x,y,z) \ 1) * T(x,x \ 1). [hyper(80,a,7136,a(flip),b,3087,a)]. 7139 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(255,a,325,a(flip),b,6473,a)]. 7141 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(1150(a,1),7139(a,1,2))]. 7142 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(42,a,7141,a)]. 7143 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(40,a,7142,a)]. 7144 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(1153(a,2),7143(a,1,1))]. 7145 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(7144(a,1),4423(a,1,2)),flip(a)]. 7146 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(255,a,3739,a(flip),b,7145,a)]. 7147 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(1153(a,1),7146(a,1,1))]. 7148 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4564(a,1),6554(a,1,1)),flip(a)]. 7149 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(255,a,4141,a(flip),b,7148,a)]. 7150 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(23,a,5444,a,b,7149,a)]. 7151 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(255,a,5736,a,b,7150,a)]. 7152 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4624(a,1),7151(a,1,2))]. 7153 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(7152(a,1),73(a,1,1))]. 7154 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5736(a,1),7153(a,1,1))]. 7155 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(5217(a,2),7154(a,1,1,2))]. 7156 ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). [para(6663(a,1),6911(a,1,2))]. 7157 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [hyper(466,a,7156,a),flip(a)]. 7158 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [para(5268(a,1),7157(a,1,2)),flip(a)]. 7163 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(255,a,7033,a(flip),b,7069,a(flip))]. 7164 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(19(a,1),7163(a,2,1,1))]. 7165 K(((x \ y) * x) \ z,y) = K(y \ z,y). [para(70(a,1),7164(a,1,1,1,2))]. 7166 T(x,((y \ x) * y) \ z) = (u * K(x \ z,x)) \ (u * x). [para(7165(a,1),6784(a,1,1,2)),flip(a)]. 7167 T(x,((y \ x) * y) \ z) = T(x,x \ z). [hyper(255,a,5204,a,b,7166,a)]. 7168 T(x,x \ T(y,y \ x)) = T(x,x \ y). [para(6064(a,1),7167(a,1,2))]. 7169 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(7168(a,1),199(a,1,2))]. 7170 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [hyper(255,a,601,a(flip),b,7169,a(flip)),flip(a)]. 7171 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [hyper(255,a,5639,a(flip),b,7170,a(flip))]. 7172 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5683(a,1),5356(a,1,2))]. 7173 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(6282(a,1),5648(a,1,1))]. 7174 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(255,a,4829,a(flip),b,7173,a(flip))]. 7175 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1424(a,1),7174(a,1,2,1))]. 7176 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [para(7175(a,1),73(a,1,1)),flip(a)]. 7177 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(313,a,7176,a)]. 7178 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(87,a,7176,a)]. 7179 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(7176(a,1),3455(a,1,2)),flip(a)]. 7180 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5774(a,1),5776(a,1,1))]. 7183 (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). [para(3702(a,1),7180(a,1,1,2)),flip(a)]. 7184 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3702(a,1),7183(a,1,2)),flip(a)]. 7186 K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). [hyper(255,a,6050,a(flip),b,6016,a(flip))]. 7187 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(255,a,6707,a(flip),b,7186,a)]. 7188 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(6934,a,7187,a)]. 7189 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(7188(a,1),5394(a,1,2)),flip(a)]. 7190 x / K(y \ x,T(x,z)) != u | T(x,T(y,z) \ T(x,z)) = u. [para(7188(a,1),5201(a,1,2))]. 7191 K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). [hyper(255,a,5394,a(flip),b,7189,a)]. 7192 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(19(a,1),6233(a,1,1,2,2,1))]. 7193 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(255,a,5786,a(flip),b,7192,a)]. 7194 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(7193(a,1),474(a,1,1))]. 7195 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(6386(a,1),6384(a,1,1))]. 7196 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(6458(a,1),19(a,1,2))]. 7197 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(255,a,49,a(flip),b,6498,a)]. 7198 x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). [para(5184(a,2),6514(a,1,2)),flip(a)]. 7199 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(255,a,5286,a(flip),b,7198,a)]. 7200 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(3481(a,1),7199(a,1,2))]. 7201 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [para(7200(a,1),73(a,1,1))]. 7202 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(4395(a,1),6523(a,1,1)),flip(a)]. 7203 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(6146,a,7202,a)]. 7205 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(73(a,1),7203(a,1,1,2,1)),flip(a)]. 7206 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(120(a,2),7203(a,1,1))]. 7207 K(R(x,x \ 1,y),z) = K(x,z). [hyper(255,a,332,a(flip),b,7206,a)]. 7208 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(18(a,1),7206(a,1,1,2)),flip(a)]. 7209 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(7206(a,2),122(a,1,1))]. 7210 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5555(a,1),7206(a,1,1,2))]. 7211 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(7206(a,1),6670(a,1,1,2)),flip(a)]. 7212 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [hyper(255,a,6327,a(flip),b,7207,a)]. 7213 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(7208(a,1),51(a,1,1)),flip(a)]. 7214 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(21(a,1),7205(a,2,1,2))]. 7215 K((x * y) / z,x) = K(x / (z / y),x). [hyper(255,a,5911,a(flip),b,7214,a(flip))]. 7216 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(255,a,6128,a(flip),b,7215,a)]. 7217 K((x * y) / z,x) != u | K((z / y) \ x,x) = u. [para(7215(a,2),6939(a,1))]. 7218 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(255,a,6377,a(flip),b,7211,a(flip))]. 7219 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [para(7218(a,1),19(a,1,2))]. 7221 K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. [para(5561(a,1),6524(a,1,1,1)),flip(a)]. 7222 K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). [hyper(255,a,5007,a(flip),b,7221,a)]. 7223 K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). [hyper(255,a,5786,a(flip),b,7222,a(flip)),flip(a)]. 7224 K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). [para(4752(a,1),7223(a,1,2))]. 7225 K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). [hyper(255,a,7089,a,b,7224,a),flip(a)]. 7226 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(686,a,6528,a)]. 7227 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(7226(a,1),6477(a,1,1,1)),flip(a)]. 7228 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(255,a,5967,a(flip),b,7227,a)]. 7229 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(5147(a,1),7095(a,1,1,2))]. 7230 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(6629(a,1),7114(a,1,1,1)),flip(a)]. 7231 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(7230(a,2),19(a,1,2))]. 7232 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)). [para(6735(a,1),7230(a,2,1))]. 7233 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(7231(a,1),6670(a,1,1)),flip(a)]. 7234 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(6722(a,1),7231(a,1,2,2))]. 7235 R(x * K(y,z),K(y,u),K(z,y)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(80,a,7234,a(flip),b,122,a)]. 7236 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(6672(a,1),7234(a,1,1,1))]. 7237 ((x * K(y,z)) * K(z,u)) / (K(z,u) * K(y,z)) = R(x,K(z,u),K(y,z)). [hyper(81,a,7236,a(flip),b,122,a)]. 7238 (x * y) \ ((x * K(z \ x,u)) * y) = K((z * y) \ (x * y),u). [para(70(a,1),7233(a,1,1,1,1)),flip(a)]. 7239 (x * y) * K((z * y) \ (x * y),u) = (x * K(z \ x,u)) * y. [para(7238(a,1),19(a,1,2))]. 7240 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(22,a,6573,a(flip),b,7239,a)]. 7242 (x * (y * K(z \ u,y))) \ (x * y) = K(y,(z * y) \ (u * y)). [para(7240(a,1),6685(a,1,1,2,2))]. 7244 K(x,(y * x) \ (z * x)) = K(x,y \ z). [hyper(6799,a,7242,a),flip(a)]. 7245 K(x,(x * y) \ (z * x)) = K(x,y \ z). [hyper(6974,a,7244,a)]. 7246 K(x,(y / x) \ z) = K(x,y \ (z * x)). [para(21(a,1),7244(a,1,2,1)),flip(a)]. 7247 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [para(19(a,1),7245(a,1,2,1)),flip(a)]. 7248 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [para(7246(a,1),6989(a,1,1))]. 7249 K(x,(y / x) \ z) = K(x,(x \ y) \ z). [hyper(255,a,7246,a,b,7247,a),flip(a)]. 7250 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(18(a,1),7247(a,1,2)),flip(a)]. 7251 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(7247(a,1),6989(a,1,1))]. 7252 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [hyper(255,a,3312,a,b,7248,a)]. 7253 L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(2374(a,2),7248(a,2,2,1,2))]. 7254 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(255,a,7248,a(flip),b,7251,a(flip)),flip(a)]. 7255 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(7254(a,1),5602(a,1,2,2))]. 7256 L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(7254(a,1),6989(a,1,1))]. 7257 (L(x,y,z) \ 1) * T(x,x \ 1) = (x \ 1) \ (L(x,y,z) \ 1). [para(6328(a,1),7137(a,1,2)),flip(a)]. 7258 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(255,a,5089,a(flip),b,7257,a(flip))]. 7259 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(3196,a,7258,a)]. 7260 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [para(7258(a,1),19(a,1,2))]. 7261 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(255,a,7147,a,b,7260,a),flip(a)]. 7262 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2564,a,7261,a)]. 7263 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(5272(a,1),7172(a,1,2,2)),flip(a)]. 7264 L(L(x,y,z),z * y,K(y,z)) = L(x,T(y,z),z). [hyper(255,a,178,a(flip),b,7263,a)]. 7266 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(255,a,7093,a(flip),b,7229,a(flip))]. 7267 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(19(a,1),7266(a,2,2,1))]. 7268 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(70(a,1),7266(a,1,2,1,2)),flip(a)]. 7269 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(314(a,1),7268(a,1,2,1)),flip(a)]. 7270 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(6667(a,1),7269(a,1,2,1))]. 7271 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(5203(a,1),7270(a,1,2,1)),flip(a)]. 7272 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(7255(a,1),5694(a,1))]. 7273 L(T(x,y),T(z,x),K(x,z)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(5182(a,2),5231(a,1,1,3))]. 7274 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [para(5910(a,1),7273(a,1,1)),flip(a)]. 7275 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(5538(a,2),7274(a,1,2))]. 7278 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(5439(a,1),703(a,2,1)),flip(a)]. 7279 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5828,a,7278,a)]. 7280 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(5441(a,1),918(a,1,1,1))]. 7281 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(848(a,1),5529(a,1,2))]. 7282 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(775(a,2),5644(a,1,2,2,1))]. 7283 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(5906(a,1),5914(a,1,2))]. 7284 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. [hyper(255,a,127,a(flip),b,6339,a)]. 7287 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(3837(a,2),6340(a,2,2))]. 7288 ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). [para(1299(a,1),6350(a,1,2))]. 7289 K((x / y) \ 1,z \ (y / x)) = K(y / x,((z * x) / y) \ 1). [hyper(255,a,6001,a(flip),b,6401,a(flip)),flip(a)]. 7290 K((x / y) \ 1,z \ (y / x)) = K(y / x,y / (z * x)). [hyper(255,a,5786,a(flip),b,7289,a)]. 7292 K(x / y,x / (z * y)) != u | K(x / y,z \ (x / y)) = u. [para(7290(a,1),6146(a,1))]. 7293 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(4177(a,1),6503(a,2,2))]. 7294 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(255,a,4183,a(flip),b,7293,a(flip))]. 7295 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3371(a,1),7294(a,1,2,2)),flip(a)]. 7296 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(3371(a,1),7295(a,1,1,1)),flip(a)]. 7297 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [para(7296(a,1),73(a,1,1))]. 7298 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(129(a,1),7297(a,1,1,1,1))]. 7299 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(129(a,1),7298(a,2,2))]. 7300 K(x,y \ z) * K((z \ y) \ x,x) = x \ R(x,(z \ y) \ 1,x). [para(5734(a,1),6611(a,1,2))]. 7301 K(x,y \ z) * K(y \ (z * x),x) = x \ R(x,(z \ y) \ 1,x). [para(7043(a,1),7300(a,1,2))]. 7302 (x * (y * T(z,y))) \ ((x * y) * T(z,y)) = a(x,y * K(z,y),z). [para(6730(a,1),6724(a,1,2))]. 7303 a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. [para(7302(a,1),636(a,1))]. 7304 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6821(a,2),6933(a,1))]. 7305 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(7082(a,1),7122(a,1))]. 7306 L(K(x,y),z \ u,z) != w | K(x,(z * ((z \ u) / y)) \ u) = w. [para(73(a,1),7305(a,1,1,2))]. 7308 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (y / x)) \ u) = w. [para(7246(a,1),7305(a,1,1))]. 7309 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. [para(7247(a,1),7305(a,1,1))]. 7310 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(255,a,7208,a(flip),b,7195,a(flip))]. 7311 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(7310(a,1),5605(a,1,2,1)),flip(a)]. 7312 R(x,K(y,z),K(u,y)) = R(x,K(u,y),K(y,z)). [hyper(2087,a,7237,a),flip(a)]. 7313 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(2216(a,1),7282(a,1,2))]. 7314 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(255,a,7284,a(flip),b,7287,a(flip))]. 7315 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [para(7314(a,1),73(a,1,1))]. 7316 R(x,K(y \ 1,z),y) != u | R(x,y,K(y \ 1,z)) = u. [para(7288(a,1),466(a,1))]. 7317 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(7311(a,2),5613(a,1))]. 7318 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). [para(3989(a,1),4913(a,1,2,1)),flip(a)]. 7319 T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). [hyper(255,a,5103,a(flip),b,7318,a(flip))]. 7321 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(80,a,5294,a(flip),b,5225,a),flip(a)]. 7322 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(5380(a,1),5908(a,1,1))]. 7323 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3461(a,1),6134(a,1,3))]. 7324 T(x,y) \ (1 / (1 / T((T(z,x) * x) / T(z,x),y))) = (T(T(x,z),y) \ 1) * T(x,y). [para(4459(a,1),6325(a,2,1,1))]. 7325 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(6107(a,1),6344(a,1,2))]. 7326 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(73(a,1),6549(a,1,1,1,1,2)),flip(a)]. 7327 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6707(a,1),7326(a,1,2))]. 7328 K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). [hyper(22,a,3974,a,b,7327,a),flip(a)]. 7329 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5763(a,1),7327(a,1,2))]. 7330 K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). [para(70(a,1),7328(a,2,1,2))]. 7331 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). [hyper(255,a,3879,a,b,7330,a(flip)),flip(a)]. 7332 (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). [para(3187(a,1),7331(a,1,1,2))]. 7333 K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). [hyper(4043,a,7332,a),flip(a)]. 7334 K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). [para(128(a,2),7333(a,1,2,2))]. 7335 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). [hyper(255,a,5891,a(flip),b,7334,a(flip))]. 7336 K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). [hyper(255,a,7019,a(flip),b,7335,a(flip))]. 7337 K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). [hyper(255,a,7328,a,b,7336,a(flip)),flip(a)]. 7338 (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). [para(935(a,1),6550(a,1,1))]. 7339 (1 / x) * ((x \ y) \ T((x \ y) * x,x)) = (x \ T(y,x)) * ((x \ y) \ 1). [para(1677(a,1),7338(a,1,1)),flip(a)]. 7343 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6618(a,1),6650(a,1,2)),flip(a)]. 7344 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(255,a,35,a,b,7343,a)]. 7345 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(7343(a,2),466(a,1))]. 7346 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(255,a,51,a,b,7344,a(flip)),flip(a)]. 7347 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(6041(a,1),6980(a,2,2))]. 7348 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(127(a,1),7094(a,1,1,2,2))]. 7349 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(5145(a,2),7348(a,1,1))]. 7350 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(5311(a,1),7104(a,1,1,2))]. 7351 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(5284(a,1),7350(a,1,2,2))]. 7352 (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(7259(a,1),4020(a,2,1)),flip(a)]. 7353 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(7251(a,1),7308(a,1))]. 7354 K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. [para(7248(a,1),7309(a,1))]. 7355 (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). [para(5060(a,1),7339(a,1,2)),flip(a)]. 7356 K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). [hyper(255,a,5442,a,b,7355,a),flip(a)]. 7357 (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). [para(18(a,1),7356(a,2,2,1)),flip(a)]. 7358 (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). [para(5600(a,1),7357(a,1,2))]. 7359 K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). [para(7224(a,2),7358(a,1,1))]. 7360 K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). [para(17(a,1),7359(a,1,2))]. 7361 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(255,a,7329,a(flip),b,7347,a)]. 7362 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(255,a,5055,a(flip),b,5068,a(flip))]. 7363 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(4058(a,2),5070(a,1,1))]. 7364 ((x * y) * z) * a(z * K(x * y,z),x,y) = (x * y) * R(z,x,y). [hyper(255,a,5303,a(flip),b,5459,a)]. 7365 ((x * y) * z) \ ((x * y) * R(z,x,y)) != u | a(z * K(x * y,z),x,y) = u. [para(7364(a,1),222(a,1,2)),flip(b)]. 7366 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(6086(a,1),6089(a,1,3)),flip(a)]. 7367 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(7366(a,1),25(a,1))]. 7368 ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). [hyper(5484,a,6330,a),flip(a)]. 7369 (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). [para(1952(a,1),7368(a,1,1))]. 7370 (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. [hyper(255,a,6449,a(flip),b,7369,a)]. 7371 (R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1. [hyper(255,a,6452,a(flip),b,7370,a(flip)),flip(a)]. 7372 T(R(x,y,z) \ x,x \ 1) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(172,a,7371,a,b,19,a)]. 7374 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(255,a,6136,a(flip),b,7372,a)]. 7375 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(41,a,7374,a)]. 7376 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(7375(a,1),5309(a,1,1,1))]. 7377 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). [para(7376(a,1),2168(a,1,1)),flip(a)]. 7378 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(255,a,5786,a(flip),b,6397,a)]. 7379 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(255,a,6363,a(flip),b,7378,a(flip)),flip(a)]. 7380 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(5583(a,1),7379(a,1,1))]. 7381 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(255,a,7208,a(flip),b,7380,a(flip))]. 7382 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(19(a,1),7381(a,1,2,1,1)),flip(a)]. 7383 K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). [para(5904(a,1),7381(a,1,2,1))]. 7384 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(255,a,7206,a(flip),b,7382,a(flip))]. 7387 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(6741(a,1),6743(a,2,2))]. 7388 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(18(a,1),7280(a,2,1,1))]. 7389 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(5116(a,2),7362(a,1,2))]. 7390 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(230,a,7363,a),flip(a)]. 7391 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(7070(a,1),7390(a,2,1))]. 7392 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(7391(a,1),6237(a,1,2)),flip(a)]. 7393 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(255,a,5605,a(flip),b,7392,a)]. 7395 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(255,a,6429,a(flip),b,7393,a(flip)),flip(a)]. 7396 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(255,a,5585,a(flip),b,7393,a(flip)),flip(a)]. 7397 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(255,a,6402,a,b,7396,a(flip)),flip(a)]. 7398 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [hyper(255,a,4672,a(flip),b,7387,a)]. 7399 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(224,a,7389,a),flip(a)]. 7400 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(7397(a,1),7399(a,2,2))]. 7402 (x \ (y * (T(z,x) \ z))) * x = ((x \ y) * x) * (T(z,x) \ z). [para(167(a,1),5052(a,1,1)),flip(a)]. 7404 ((x \ y) * x) * (T(z,x) \ z) = (x \ (y * K(x,z))) * x. [para(5177(a,2),7402(a,1,1,2,2)),flip(a)]. 7405 (x \ (y * K(x,z))) * x = ((x \ y) * x) * K(x,z). [para(5177(a,2),7404(a,1,2)),flip(a)]. 7407 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(23,a,6719,a,b,7405,a)]. 7408 x * ((x \ y) * K(x,z)) = y * K(x,z). [para(7407(a,1),19(a,1,2))]. 7410 (x * y) * K(x,z) = x * (y * K(x,z)). [para(18(a,1),7408(a,1,2,1)),flip(a)]. 7411 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(7119,a,7410,a),flip(a)]. 7412 R(x,y,K(x,z)) = x. [hyper(454,a,7410,a)]. 7413 L(K(x,y),z,x) = K(x,y). [hyper(422,a,7410,a)]. 7416 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(7410(a,1),6663(a,1,1))]. 7417 R(T(x,y),z,K(x,u)) = T(x,y). [para(7412(a,1),47(a,2,1))]. 7418 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(7412(a,1),51(a,1,1)),flip(a)]. 7419 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(7412(a,1),459(a,1,1,1)),flip(a)]. 7420 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(7412(a,1),460(a,1,1,1)),flip(a)]. 7421 R(K(x,y),z,K(y,u)) = K(x,y). [para(7412(a,1),6377(a,1,2)),flip(a)]. 7424 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(7305,a,7413,a)]. 7426 a(x,y,K(x,z)) = 1. [hyper(39,a,7413,a)]. 7427 K(L(x,y,x),z) = K(x,z). [hyper(255,a,7046,a(flip),b,7413,a(flip)),flip(a)]. 7428 K(x,L(y,z,x)) = K(x,y). [hyper(255,a,7009,a(flip),b,7413,a(flip)),flip(a)]. 7431 K(T(x / (x / y),x),z) = K(y,z). [para(4593(a,2),7427(a,1,1))]. 7432 K(R(x,y,x),z) = K(x,z). [para(4816(a,1),7427(a,1,1)),flip(a)]. 7433 T(x,L(y,z,y)) = x / K(y,x). [para(7427(a,1),5197(a,2,2))]. 7434 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(7427(a,1),5336(a,1,1))]. 7435 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(50(a,1),7428(a,1,2))]. 7436 K(x,(x \ 1) \ y) = K(x,x * y). [para(437(a,1),7428(a,1,2)),flip(a)]. 7437 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(677(a,1),7428(a,1,2)),flip(a)]. 7438 L(x * K(y,x),z,y) = L(x,z,y) * K(y,x). [para(7428(a,1),5984(a,1,2)),flip(a)]. 7439 K(x,K(y,L(z,u,x))) = K(x,K(y,z)). [para(7009(a,1),7428(a,1,2))]. 7440 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(7428(a,1),7046(a,1,1)),flip(a)]. 7441 K(x,(y * (x / y)) \ (x * z)) = K(x,K(y \ x,y) * z). [para(7131(a,1),7428(a,1,2))]. 7442 R(K(x,y),z,x) = K(x,y). [hyper(255,a,7206,a(flip),b,7432,a(flip)),flip(a)]. 7443 K(T(x,x \ y),z) = K(T(x,y),z). [para(4642(a,1),7432(a,1,1))]. 7444 R(x,y,x) * K(x,z) = T(R(x,y,x),z). [para(7432(a,1),5252(a,2,2)),flip(a)]. 7445 x * K(R(x,y,x),z) = T(x,z). [para(7432(a,2),5252(a,2,2)),flip(a)]. 7446 K(x,R(y,z,y)) = 1 / K(y,x). [para(7432(a,1),5394(a,1,2)),flip(a)]. 7449 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(7432(a,1),5592(a,1,1))]. 7450 (K(x,y) * z) * x = K(x,y) * (z * x). [para(7432(a,1),7209(a,1,1)),flip(a)]. 7451 K(x,R(y,z,x)) = K(x,y). [hyper(255,a,6382,a(flip),b,7442,a(flip)),flip(a)]. 7452 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(255,a,6374,a(flip),b,7442,a(flip)),flip(a)]. 7455 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(7442(a,1),5868(a,1,1)),flip(a)]. 7456 T(x,R(y,z,x)) = x * K(x,y). [para(7451(a,1),5252(a,2,2))]. 7457 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(6382(a,1),7451(a,1,2))]. 7464 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(7417(a,1),7346(a,1,1)),flip(a)]. 7465 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(7421(a,1),122(a,1,1)),flip(a)]. 7466 T(x,L(y,z,y)) = T(x,y). [hyper(255,a,5197,a,b,7433,a)]. 7467 T(x,L(y,z,y)) = x * K(x,y). [hyper(255,a,6673,a(flip),b,7433,a)]. 7468 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(6157,a,7466,a),flip(a)]. 7471 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(7466(a,1),127(a,1,2))]. 7473 T(x,T(y / z,y)) = T(x,z \ y). [para(4595(a,1),7466(a,1,2))]. 7474 T(x,R(y,z,y)) = T(x,y). [para(4816(a,1),7466(a,1,2)),flip(a)]. 7475 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(6157,a,7474,a),flip(a)]. 7476 T(x / y,R(y,z,y)) = y \ x. [hyper(255,a,129,a(flip),b,7474,a)]. 7477 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(7474(a,1),127(a,1,2))]. 7479 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4642(a,1),7474(a,1,2))]. 7480 T(x,(y * z) / y) = T(x,y / (y / z)). [para(4824(a,1),7474(a,1,2))]. 7481 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(80,a,7445,a(flip),b,7313,a),flip(a)]. 7482 K(x,R(y,z,y)) = K(x,y). [hyper(255,a,5394,a(flip),b,7446,a)]. 7483 K(x,R(y,z,y)) != u | K(x,y) = u. [para(7446(a,2),5395(a,1))]. 7484 R(K(x,y),z,y) = K(x,y). [hyper(255,a,6396,a(flip),b,7482,a(flip)),flip(a)]. 7485 K(x,T(y,y * z)) = K(x,T(y,z)). [para(4578(a,1),7482(a,1,2)),flip(a)]. 7486 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4642(a,1),7482(a,1,2))]. 7487 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(7482(a,1),5986(a,1,2)),flip(a)]. 7488 (K(x,y) * z) * y = K(x,y) * (z * y). [para(7484(a,1),122(a,1,1)),flip(a)]. 7489 T(x,R(y,z,x)) = T(x,y). [hyper(255,a,5252,a,b,7456,a)]. 7496 T(x,(y * x) / z) = T(x,y / (z / x)). [para(474(a,1),7489(a,1,2))]. 7497 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(682(a,1),7489(a,1,2))]. 7502 K(x,L(y,z,y)) = K(x,y). [hyper(5323,a,7467,a)]. 7503 L(K(x,y),z,y) = K(x,y). [hyper(7017,a,7502,a)]. 7505 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(7304,a,7503,a)]. 7506 K(L(x,y,z),z) = K(x,z). [hyper(255,a,7046,a(flip),b,7503,a(flip)),flip(a)]. 7507 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(255,a,7032,a(flip),b,7503,a(flip))]. 7509 (x * y) * K(z,x) = x * (y * K(z,x)). [para(7503(a,1),112(a,1,2))]. 7513 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(50(a,1),7506(a,1,1))]. 7514 T(x * K(y,x),L(y,z,x)) = x. [para(7506(a,1),5216(a,1,1,2))]. 7515 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(7131(a,1),7506(a,1,1))]. 7516 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(7476(a,1),127(a,1,2))]. 7517 T(x,L(y,z,x)) = T(x,y). [para(7514(a,1),5295(a,1,1)),flip(a)]. 7518 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(241(a,1),7517(a,1,2))]. 7519 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(439(a,1),7517(a,1,2)),flip(a)]. 7520 K((x \ y) \ y,z) = K(T(x,y),z). [para(145(a,1),7431(a,1,1,1)),flip(a)]. 7521 L(K(x,x * (y \ z)),y \ z,y) != u | K(x,(y * (x \ 1)) \ z) = u. [para(7436(a,1),7305(a,1,1))]. 7522 K(T(x,y),z) = T(K(x,z),y). [hyper(255,a,6790,a(flip),b,7443,a(flip))]. 7523 K(T(x,y),y / z) = K(x,z \ y). [hyper(255,a,6599,a(flip),b,7522,a)]. 7524 K(T(x,K(y,z)),y) = K(x,y). [hyper(255,a,2072,a(flip),b,7522,a)]. 7525 x * K(T(y,x),z) = K(y,z) * x. [para(7522(a,2),127(a,1,2))]. 7526 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(7522(a,1),5263(a,2,1)),flip(a)]. 7527 (K(x,y) * z) * K(T(y,z),x) = z. [para(7522(a,2),6750(a,1,2))]. 7528 K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). [para(7524(a,1),5263(a,2,1)),flip(a)]. 7529 T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x). [para(7524(a,1),5707(a,1,2))]. 7530 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(70(a,1),7473(a,1,2,1)),flip(a)]. 7534 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(4642(a,1),7483(a,1,2))]. 7535 K(x,T(y,L(y,z,u) * (y \ w))) = K(x,T(y,L(y,z,u) * w)). [para(1421(a,1),7485(a,1,2,2)),flip(a)]. 7536 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(1990(a,1),7485(a,1,2)),flip(a)]. 7537 K(x,T(y,z * y)) = K(x,T(y,z)). [para(4563(a,2),7485(a,1,2))]. 7539 K(x,T(y,z)) = T(K(x,y),z). [hyper(255,a,6953,a(flip),b,7486,a(flip))]. 7540 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(128(a,1),7486(a,1,2))]. 7541 K(x,T(y * z,y \ 1)) = K(x,T(y * z,z)). [para(4410(a,1),7486(a,1,2))]. 7542 K(T(x,y),z) = K(x,T(z,y)). [hyper(255,a,7522,a,b,7539,a),flip(a)]. 7543 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(255,a,7004,a,b,7539,a),flip(a)]. 7544 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(255,a,6757,a,b,7539,a),flip(a)]. 7546 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [hyper(255,a,6400,a,b,7539,a),flip(a)]. 7547 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(255,a,6388,a,b,7539,a),flip(a)]. 7548 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(255,a,6096,a,b,7539,a),flip(a)]. 7549 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(255,a,6094,a,b,7539,a),flip(a)]. 7550 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). [hyper(255,a,5971,a,b,7539,a),flip(a)]. 7551 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(255,a,5965,a,b,7539,a),flip(a)]. 7552 K(x / y,T(z,x)) = K(y \ x,z). [hyper(255,a,6755,a(flip),b,7539,a)]. 7553 K(x,T(y,K(x,z))) = K(x,y). [hyper(255,a,6106,a(flip),b,7539,a)]. 7554 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(255,a,3341,a(flip),b,7539,a)]. 7555 K(x,T(y,K(z,x))) = K(x,y). [hyper(255,a,2074,a(flip),b,7539,a)]. 7556 T(K(x * y,x),y) = K(x * y,x). [hyper(255,a,5587,a(flip),b,7539,a(flip))]. 7557 T(T(K(x,y),z),u) = T(K(x,T(y,u)),z). [para(7539(a,2),43(a,1,1)),flip(a)]. 7558 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(43(a,1),7539(a,1,2))]. 7559 x * K(y,T(z,x)) = K(y,z) * x. [para(7539(a,2),127(a,1,2))]. 7561 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7539(a,2),565(a,1,2,2))]. 7564 x * T(K(x,y),z) = T(x,T(y,z)). [para(7539(a,1),5252(a,2,2)),flip(a)]. 7565 T(x,K(y,T(z,x))) != u | T(x,K(y,z)) = u. [para(7539(a,2),5718(a,1,2))]. 7566 K(x,y) * (K(z,u) * x) = T(x,y) * K(z,T(u,x)). [para(7539(a,2),5538(a,2,2))]. 7567 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7539(a,2),6090(a,1,2))]. 7568 K(x,T(y,K(z,u))) * K(u,z) = K(u,z) * K(x,y). [para(7539(a,2),6102(a,1,1))]. 7570 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7539(a,2),6098(a,2,1))]. 7571 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7539(a,2),6247(a,2,2))]. 7572 (K(x,y) * z) * K(y,T(x,z)) = z. [para(7539(a,2),6750(a,1,2))]. 7573 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(7539(a,2),6900(a,1))]. 7575 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(5624,a,7542,a)]. 7576 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(255,a,5139,a(flip),b,7542,a)]. 7577 K(x,T(y,z) \ T(x,z)) = K(x,T(y \ x,z)). [hyper(255,a,7191,a,b,7542,a(flip)),flip(a)]. 7579 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(255,a,6052,a,b,7542,a(flip)),flip(a)]. 7580 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(255,a,6790,a(flip),b,7542,a(flip))]. 7581 T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). [hyper(80,a,7542,a(flip),b,5184,a(flip)),flip(a)]. 7582 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(43(a,1),7542(a,2,2))]. 7583 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(47(a,2),7542(a,1,1))]. 7584 K(x / y,T(z,y)) = K(y \ x,z). [para(129(a,1),7542(a,1,1)),flip(a)]. 7585 K(T(x,y),z / y) = K(x,y \ z). [para(129(a,1),7542(a,2,2))]. 7586 K((x * y) / x,T(z,x)) = K(y,z). [para(166(a,1),7542(a,1,1)),flip(a)]. 7587 K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). [para(138(a,1),7542(a,1,1)),flip(a)]. 7588 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(138(a,1),7542(a,2,2))]. 7589 K(T(x,L(y,z,u)),y) = K(x,y). [para(279(a,1),7542(a,2,2))]. 7590 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(402(a,1),7542(a,1,1)),flip(a)]. 7591 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(277(a,1),7542(a,1,1))]. 7592 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(773(a,1),7542(a,1,1)),flip(a)]. 7593 T(x,K(y,T(x,z))) = x. [para(7542(a,1),3140(a,1,2))]. 7594 x / K(y,T(x,z)) = T(x,T(y,z)). [para(7542(a,1),5197(a,2,2)),flip(a)]. 7595 T(x,y) * K(x,T(z,y)) = T(T(x,y),z). [para(7542(a,1),5252(a,2,2)),flip(a)]. 7598 K(x,T(y,K(z,z \ x))) = K(x,y). [para(5661(a,1),7542(a,1,1)),flip(a)]. 7599 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(7542(a,1),5560(a,1,1))]. 7600 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7542(a,1),5623(a,1,1))]. 7601 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(7542(a,1),5337(a,1,1))]. 7603 a(x,y,K(z,T(y,u))) = 1. [para(7542(a,1),6579(a,1,3))]. 7605 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(7542(a,1),6784(a,1,1,2))]. 7607 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7542(a,1),6677(a,1,2))]. 7609 x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). [para(7542(a,1),6741(a,1,2,2))]. 7611 K(x,T(y,K(z,L(x,u,w)))) = K(x,y). [para(7015(a,1),7542(a,1,1)),flip(a)]. 7612 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [para(7542(a,1),7236(a,1,2)),flip(a)]. 7613 K(x,T(y,z)) * y = y * K(x,T(y,z)). [para(7593(a,1),127(a,1,2))]. 7614 T(x / y,K(z,y \ x)) = x / y. [para(129(a,1),7593(a,1,2,2))]. 7615 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(38,a,7603,a)]. 7616 K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). [para(47(a,2),7553(a,1,2))]. 7618 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(129(a,1),7554(a,1,2)),flip(a)]. 7620 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(641(a,1),7520(a,1,1,1)),flip(a)]. 7621 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(6680(a,1),7520(a,1,1)),flip(a)]. 7622 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7520(a,1),7030(a,1,1)),flip(a)]. 7623 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(773(a,1),7523(a,1,1))]. 7625 x * K(T(y,x),z) = K(z,y) \ x. [hyper(255,a,5600,a,b,7525,a)]. 7626 K(x / y,z) * y = y * K(y \ x,z). [para(129(a,1),7525(a,1,2,1)),flip(a)]. 7627 K((x * y) / x,z) * x = x * K(y,z). [para(166(a,1),7525(a,1,2,1)),flip(a)]. 7628 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(7525(a,1),7081(a,1,1,2))]. 7629 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. [para(7525(a,1),7083(a,1,1,2))]. 7632 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(6157,a,7530,a),flip(a)]. 7633 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7540(a,1),6986(a,1,1)),flip(a)]. 7635 L(x,y / z,K(z \ y,u)) = x. [para(7552(a,1),4398(a,1,3))]. 7641 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7552(a,1),7205(a,1,1)),flip(a)]. 7643 L(x,(y * z) / y,K(z,u)) = x. [para(18(a,1),7635(a,1,3,1))]. 7645 K(x,y) * (((z * x) / z) * L(u,T(K(x,y),(z * x) / z),(z * x) / z)) = ((z * x) / z) * (T(K(x,y),(z * x) / z) * u). [para(7643(a,1),1006(a,1,2,2)),flip(a)]. 7646 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(6895,a,7559,a)]. 7647 (x \ y) * K(z,T(x,x \ y)) = T(x,z) \ y. [hyper(255,a,5560,a(flip),b,7559,a)]. 7648 x \ (y * K(z,T(x,y))) = T(x,z) \ y. [hyper(80,a,7559,a,b,5225,a)]. 7649 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(22,a,6121,a(flip),b,7559,a)]. 7650 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(5622,a,7559,a(flip))]. 7651 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7559(a,1),24(a,1))]. 7653 K(x,y / z) * z = z * K(x,z \ y). [para(129(a,1),7559(a,1,2,2)),flip(a)]. 7654 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(7539(a,2),7559(a,1,2,2))]. 7656 T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). [hyper(5978,a,7564,a)]. 7657 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(7564(a,1),6551(a,1,2,2))]. 7658 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7575(a,1),5384(a,1))]. 7659 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(255,a,7539,a,b,7580,a)]. 7660 T(K(x,y),x * z) = K(x,T(y,z)). [para(18(a,1),7580(a,1,2,2)),flip(a)]. 7661 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(138(a,1),7584(a,1,2))]. 7665 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(773(a,1),7585(a,1,1))]. 7666 (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. [para(7585(a,1),6795(a,1,2))]. 7667 L(x,K(y,z),(u * y) / u) = x. [para(7586(a,1),4723(a,1,2))]. 7668 L(x,T(T(y,z),u),K(w,y)) = x. [para(7586(a,1),6395(a,1,3))]. 7669 a(x,T(y,z),K(u,y)) = 1. [para(7586(a,1),6579(a,1,3))]. 7670 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7586(a,1),7092(a,1,2))]. 7671 L(K(x,y),T(y,z),u) = K(x,y). [hyper(38,a,7669,a)]. 7674 (K(x,y) * T(T(y,z),u)) * w = K(x,y) * (T(T(y,z),u) * w). [para(7668(a,1),112(a,1,2))]. 7676 (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). [hyper(255,a,5727,a,b,7671,a(flip)),flip(a)]. 7677 (x * T(y,z)) * L(K(u,y),w,v5) = x * (T(y,z) * L(K(u,y),w,v5)). [para(7671(a,1),429(a,1,2,1))]. 7678 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(7590(a,1),5263(a,2,1))]. 7679 T(x,T(y,z) \ T(x,z)) = T(x,T(y \ x,z)). [hyper(7190,a,7594,a)]. 7680 K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). [para(6686(a,1),7598(a,1,2))]. 7681 K(x / y,z) \ y = y * K(z,y \ x). [para(7585(a,1),7625(a,1,2)),flip(a)]. 7683 K(x,T(y,x * z)) = K(x,T(y,z)). [para(18(a,1),7659(a,1,2,2)),flip(a)]. 7684 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(47(a,2),7659(a,1,2))]. 7685 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(7659(a,1),5252(a,2,2))]. 7686 K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)). [para(6854(a,1),7659(a,1,2))]. 7687 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(7659(a,1),7208(a,1,1))]. 7688 (x * y) * K(x,T(z,y)) = K(x,z) * (x * y). [para(7660(a,1),127(a,1,2))]. 7689 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(7670(a,1),488(a,1,1))]. 7690 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(129(a,1),7683(a,1,2)),flip(a)]. 7691 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [para(7418(a,1),379(a,1,1)),flip(a)]. 7693 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(685(a,1),7457(a,1,2,2))]. 7695 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(255,a,7032,a(flip),b,7615,a(flip))]. 7696 K(x \ 1,x) * K(y,T(x,z)) = (x \ 1) * (x * K(y,T(x,z))). [para(7615(a,1),433(a,1,2))]. 7697 K(x,T(y,z)) * K(y \ 1,y) = (y \ 1) * (y * K(x,T(y,z))). [para(7615(a,1),2278(a,1,1))]. 7698 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(7539(a,1),7658(a,1))]. 7699 K(T(x,x \ y),z) != u | K(T(x,y),z) = u. [para(6790(a,2),7698(a,1))]. 7700 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(255,a,7249,a,b,7411,a(flip)),flip(a)]. 7701 K(x,y \ (z * x)) = K(x,y \ (x * z)). [hyper(255,a,7247,a(flip),b,7411,a(flip)),flip(a)]. 7702 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(19(a,1),7411(a,2,2,2))]. 7703 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(255,a,6973,a,b,7424,a(flip)),flip(a)]. 7704 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(255,a,6826,a,b,7424,a(flip)),flip(a)]. 7705 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(190(a,1),7424(a,1,2,1)),flip(a)]. 7706 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(7424(a,1),6906(a,2,2))]. 7707 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). [para(7424(a,1),6989(a,1,1))]. 7708 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(3327,a,7434,a)]. 7709 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(80,a,7434,a(flip),b,5550,a),flip(a)]. 7710 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(255,a,47,a,b,7444,a)]. 7711 L(x,y,K(x,z)) = x. [hyper(422,a,7450,a)]. 7712 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(255,a,5538,a(flip),b,7450,a)]. 7714 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(172,a,7450,a,b,5850,a)]. 7715 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). [para(7450(a,1),162(a,2,1)),flip(a)]. 7716 (K(x,y) * z) / x = K(x,y) * (z / x). [para(7711(a,1),483(a,1,2))]. 7717 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(7711(a,1),428(a,1,2,1))]. 7718 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(7711(a,1),429(a,1,2,1))]. 7722 L(K(x,y),z,K(y,u)) = K(x,y). [para(7711(a,1),7007(a,1,2)),flip(a)]. 7723 L(K(x,y),z,K(x,u)) = K(x,y). [para(7711(a,1),7044(a,1,1)),flip(a)]. 7727 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [hyper(255,a,7037,a(flip),b,7722,a(flip))]. 7728 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(255,a,7009,a(flip),b,7723,a(flip)),flip(a)]. 7729 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(7723(a,1),45(a,2,1))]. 7730 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(5629(a,1),7728(a,1,2)),flip(a)]. 7734 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(7464(a,1),1319(a,1,1))]. 7736 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(7464(a,1),7482(a,1,2))]. 7737 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(47(a,1),7736(a,1,2))]. 7738 K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)). [para(4578(a,1),7737(a,1,2,1)),flip(a)]. 7739 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(7468(a,1),127(a,1,2)),flip(a)]. 7741 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(129(a,1),7471(a,1,2))]. 7743 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(7475(a,1),127(a,1,2)),flip(a)]. 7745 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(6201,a,7480,a),flip(a)]. 7746 L(x,y,K(z,x)) = x. [hyper(422,a,7488,a)]. 7748 K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). [para(7488(a,1),5539(a,1,2,2))]. 7750 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(7746(a,1),50(a,1,1)),flip(a)]. 7751 L(K(x,y),z,K(u,y)) = K(x,y). [para(7746(a,1),7007(a,1,2)),flip(a)]. 7752 L(K(x,y),z,K(u,x)) = K(x,y). [para(7746(a,1),7044(a,1,1)),flip(a)]. 7753 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(255,a,7046,a(flip),b,7751,a(flip)),flip(a)]. 7754 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [para(7751(a,1),112(a,1,2))]. 7755 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(255,a,7009,a(flip),b,7752,a(flip)),flip(a)]. 7756 L(R(K(x,y),z,u),w,K(v5,x)) = R(K(x,y),z,u). [para(7752(a,1),49(a,1,1)),flip(a)]. 7757 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(7753(a,1),5292(a,2,1,1))]. 7758 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(50(a,1),7755(a,1,2))]. 7759 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(255,a,6970,a,b,7505,a(flip)),flip(a)]. 7760 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(255,a,6966,a,b,7505,a(flip)),flip(a)]. 7761 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(19(a,1),7505(a,1,1,1)),flip(a)]. 7762 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(7505(a,1),6773(a,1,2))]. 7763 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(7507(a,1),5991(a,1,1,1,2))]. 7764 R(x,y,K(z,x)) = x. [hyper(454,a,7509,a)]. 7768 R(R(x,y,z),u,K(w,x)) = R(x,y,z). [para(7764(a,1),51(a,1,1)),flip(a)]. 7770 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(7764(a,1),459(a,1,1,1)),flip(a)]. 7771 (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). [para(7764(a,1),460(a,1,1,1)),flip(a)]. 7772 R(x,y,K(z,T(x,u))) = x. [para(7542(a,1),7764(a,1,3))]. 7773 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(7772(a,1),460(a,1,1,1)),flip(a)]. 7774 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(7772(a,1),7209(a,1,1,1)),flip(a)]. 7775 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = ((x * K(y,z)) * R(z,u,w)) / K(y,z). [para(7768(a,1),778(a,1,1,2)),flip(a)]. 7776 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(127(a,1),7518(a,1,2,1)),flip(a)]. 7777 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(6850(a,1),7536(a,1,2)),flip(a)]. 7778 K(x,T(y \ 1,z)) = K(x,(y * z) \ z). [hyper(6896,a,7550,a),flip(a)]. 7780 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(279(a,1),7551(a,1,1,1)),flip(a)]. 7781 K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). [hyper(255,a,7539,a,b,7557,a),flip(a)]. 7782 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(6955,a,7567,a)]. 7783 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(255,a,6301,a,b,7782,a(flip)),flip(a)]. 7784 K(x \ y,K(x,z)) = K(y,K(x,z)). [para(19(a,1),7782(a,1,1)),flip(a)]. 7785 R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). [para(7581(a,1),2100(a,1,2))]. 7786 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(47(a,2),7588(a,1,1))]. 7787 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(5933,a,7595,a)]. 7788 K(x,y) \ T(T(x,y),z) = T(x,T(z,y)). [hyper(80,a,7595,a(flip),b,5558,a)]. 7790 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(7466(a,1),7646(a,1,2,1))]. 7791 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(5785(a,1),7653(a,1,1)),flip(a)]. 7792 T(x,T(y \ 1,z)) = T(x,(y * z) \ z). [hyper(6901,a,7656,a),flip(a)]. 7793 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(255,a,5263,a,b,7678,a)]. 7794 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(5216(a,1),7793(a,1,2,2,1))]. 7795 T(x / y,z) \ x = y * K(z,y \ x). [hyper(255,a,5667,a,b,7681,a(flip)),flip(a)]. 7797 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(255,a,5252,a,b,7685,a)]. 7799 T(x,T(y,x \ y)) = T(x,y). [para(126(a,1),7797(a,2,2))]. 7800 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(7797(a,1),5253(a,1,2,1))]. 7801 T(x,T(x * y,y)) = T(x,x * y). [para(18(a,1),7799(a,1,2,2))]. 7802 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(19(a,1),7701(a,2,2,2))]. 7803 L(K(x,x \ (y \ z)),y \ z,y) = K(x,y \ (x \ z)). [hyper(7064,a,7703,a)]. 7804 L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). [hyper(7063,a,7703,a)]. 7805 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [hyper(255,a,6971,a,b,7703,a(flip)),flip(a)]. 7806 K(x,y \ (x \ (y * (x * z)))) = K(x,L(z,x,y)). [para(33(a,2),7703(a,1,2)),flip(a)]. 7807 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(114(a,2),7703(a,1,2))]. 7808 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(179(a,1),7703(a,1,2)),flip(a)]. 7809 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(6369(a,1),7708(a,2,1))]. 7810 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(7708(a,1),6307(a,1,1)),flip(a)]. 7811 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(80,a,7710,a(flip),b,5548,a)]. 7812 (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). [para(5221(a,2),7712(a,1,1))]. 7813 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [para(5536(a,1),7712(a,1,1)),flip(a)]. 7814 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(6559,a,7714,a),flip(a)]. 7815 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6558,a,7714,a)]. 7816 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(255,a,6055,a(flip),b,7714,a)]. 7817 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(19(a,1),7714(a,1,1)),flip(a)]. 7818 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(45(a,2),7714(a,2,2))]. 7819 K(x \ (y \ (z * y)),y) = K(x \ z,y). [hyper(255,a,7240,a(flip),b,7759,a(flip))]. 7820 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(7759(a,1),5991(a,1,1,1,2))]. 7822 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(7539(a,2),7787(a,1,2,2))]. 7823 L(T(x,T(y,z)),K(x,z),z * x) = (x * z) \ ((T(x,y) * z) * x). [para(7788(a,1),4813(a,1,1))]. 7824 x / T(y \ x,z) = T(x / y,z) \ x. [hyper(255,a,6777,a,b,7795,a),flip(a)]. 7825 x / (y * K(z,y \ x)) = T(x / y,z). [para(7795(a,1),70(a,1,2))]. 7826 T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). [para(7802(a,1),5252(a,2,2))]. 7827 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(18(a,1),7815(a,1,2,1)),flip(a)]. 7828 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(7815(a,1),6560(a,1,1)),flip(a)]. 7829 K(x \ 1,y) * (x \ K(y,z)) = T(x \ K(y,z),y). [hyper(255,a,5525,a,b,7817,a(flip)),flip(a)]. 7831 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = T(u / z,x) * z. [para(7817(a,1),1719(a,1,1)),flip(a)]. 7832 K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. [para(7817(a,1),6827(a,1,1,2)),flip(a)]. 7833 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(255,a,7761,a(flip),b,7819,a(flip))]. 7837 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(7824(a,1),73(a,1,1))]. 7838 T(x / (x / y),z) \ x = x / T(y,z). [para(73(a,1),7824(a,1,2,1)),flip(a)]. 7839 (x * y) / (x * K(z,y)) = T((x * y) / x,z). [para(18(a,1),7825(a,1,2,2,2))]. 7841 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5726(a,1),7827(a,1,1)),flip(a)]. 7842 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(6716,a,7828,a)]. 7843 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(255,a,6629,a,b,7828,a),flip(a)]. 7844 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(80,a,7828,a,b,5220,a)]. 7846 K(x \ ((y \ z) * y),y) = K(x \ z,y). [hyper(255,a,7761,a(flip),b,7833,a(flip))]. 7847 K(x \ (y * z),z) = K(x \ (z * y),z). [hyper(255,a,7507,a(flip),b,7833,a(flip))]. 7849 K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). [para(7837(a,1),7540(a,1,2)),flip(a)]. 7851 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(5885(a,1),7838(a,1,1,1))]. 7852 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(172,a,7842,a(flip),b,5535,a)]. 7854 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [para(7842(a,2),6663(a,1,1))]. 7855 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(5829,a,7852,a)]. 7857 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [para(129(a,1),7852(a,1,1)),flip(a)]. 7859 T(x,K(y,z)) * y = y * T(x,T(y,z)). [para(7852(a,1),182(a,1,2)),flip(a)]. 7860 T(x,T(y,y \ 1)) != z | T(x,y) = z. [para(7852(a,1),6155(a,1)),flip(b)]. 7861 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(7852(a,1),7555(a,1,2))]. 7862 K(x,T(y,T(z,L(x,u,w)))) = K(x,T(y,z)). [para(7852(a,1),7611(a,1,2))]. 7863 T(1 / x,T(y,x)) = T(1 / x,y). [para(2337(a,1),7855(a,1,1)),flip(a)]. 7865 L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x). [para(7855(a,1),4672(a,1,2)),flip(a)]. 7866 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(6105(a,1),7855(a,1,1)),flip(a)]. 7867 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(129(a,1),7861(a,1,2,2)),flip(a)]. 7868 T(1 / (x \ y),T(x,y)) = T(1 / (x \ y),x). [hyper(255,a,7479,a(flip),b,7863,a(flip)),flip(a)]. 7870 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(255,a,7479,a(flip),b,7866,a(flip)),flip(a)]. 7871 T(x,(y \ 1) \ 1) != z | T(x,y) = z. [para(128(a,1),7860(a,1,2))]. 7876 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(255,a,6909,a,b,7857,a(flip)),flip(a)]. 7879 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(255,a,7659,a(flip),b,7867,a)]. 7881 K(x,T(y,z * x)) = K(x,T(y,z)). [para(20(a,1),7879(a,1,2,2)),flip(a)]. 7882 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(141(a,1),7879(a,1,2,2)),flip(a)]. 7883 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4659(a,1),7879(a,1,2))]. 7884 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(4660(a,1),7879(a,1,2))]. 7885 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(255,a,7427,a,b,7881,a),flip(a)]. 7886 T(K(x,y),z * x) = K(x,T(y,z)). [hyper(255,a,7539,a(flip),b,7881,a(flip)),flip(a)]. 7887 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(7881(a,1),7559(a,1,2))]. 7888 T(K(x,y),z * x) = T(K(x,y),z). [hyper(255,a,7539,a(flip),b,7886,a)]. 7889 x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). [para(383(a,1),7876(a,2,1))]. 7891 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. [para(603(a,2),7534(a,1))]. 7895 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(6953(a,1),7534(a,1))]. 7899 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7522(a,2),7895(a,1))]. 7900 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(7580(a,2),7895(a,1))]. 7902 T(K(x,y),z * x) != u | K(x,T(y,z)) = u. [para(7888(a,2),7895(a,1))]. 7903 K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u. [para(7191(a,2),7899(a,1))]. 7906 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [hyper(255,a,7228,a(flip),b,7729,a(flip)),flip(a)]. 7908 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(5608(a,1),7906(a,1,2)),flip(a)]. 7910 T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5). [para(6205(a,1),7908(a,1,2,1))]. 7911 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(255,a,5292,a,b,7757,a)]. 7912 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(114(a,1),7911(a,1,2))]. 7913 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(129(a,1),7862(a,1,2,2)),flip(a)]. 7914 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(7539(a,2),7902(a,1))]. 7915 K(x * y,T(y,z * (y * x))) != u | K(y * x,T(y,z)) = u. [para(6408(a,2),7914(a,1))]. 7917 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(7416(a,1),6724(a,1,2))]. 7921 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(255,a,3146,a(flip),b,7487,a)]. 7922 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(6209(a,1),7487(a,2,2))]. 7923 K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). [hyper(255,a,7855,a(flip),b,7528,a)]. 7924 K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). [hyper(5854,a,7923,a)]. 7925 K(R((x * y) / x,z,u),T(w,y * x)) = K(R(L(y,x,y),z,u),w). [para(618(a,1),7583(a,1,1,1)),flip(a)]. 7926 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1956(a,1),7583(a,1,1)),flip(a)]. 7927 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(3140(a,1),7583(a,2,2))]. 7928 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(6686(a,1),7616(a,1,2,1))]. 7931 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6907(a,2),7657(a,1,2))]. 7933 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [hyper(255,a,6194,a(flip),b,7686,a(flip))]. 7934 (x * y) * K(x,K(z,T(u,y))) = K(x,K(z,u)) * (x * y). [para(7539(a,2),7688(a,1,2,2))]. 7935 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(255,a,7424,a(flip),b,7690,a)]. 7936 (x / R(y,z,y)) * y != y * u | R(y,z,y) \ x = u. [para(7743(a,2),24(a,1))]. 7937 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(7110,a,7760,a)]. 7938 K(x \ (y \ 1),y) = K(y \ (x \ 1),y). [hyper(6007,a,7760,a),flip(a)]. 7939 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [hyper(255,a,7761,a(flip),b,7938,a(flip))]. 7940 T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). [para(7939(a,1),5291(a,2,2,2))]. 7941 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(7002(a,1),7777(a,1,2))]. 7942 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(22,a,7559,a,b,7791,a),flip(a)]. 7943 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(255,a,7778,a(flip),b,7942,a(flip)),flip(a)]. 7944 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [para(73(a,1),7942(a,2,2,2))]. 7945 x * K(x,y \ (z \ y)) = T(x,(z * y) \ y). [para(7943(a,1),5252(a,2,2)),flip(a)]. 7946 T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). [hyper(172,a,7812,a,b,1078,a)]. 7948 x * K(T(y,z) \ x,y) = (y \ x) * y. [hyper(6647,a,7813,a)]. 7949 x / T(y,T(y,z) \ x) = y \ x. [hyper(6746,a,7948,a)]. 7950 T(x,T(x,y) \ z) = (x \ z) \ z. [para(7949(a,1),73(a,1,1)),flip(a)]. 7951 T(x,T(x,y) \ z) = T(x,x \ z). [hyper(255,a,128,a,b,7950,a)]. 7954 T(x,x \ (T(x,y) * z)) = T(x,z). [para(18(a,1),7951(a,1,2)),flip(a)]. 7955 T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ z) = T(T(x,y) / (x / y),(x / (x / y)) \ z). [para(4134(a,1),7951(a,1,2,1)),flip(a)]. 7957 T(x,K(x,y) * z) = T(x,z). [para(5534(a,1),7954(a,1,2))]. 7958 T(x,K(x,y) * L(K(z,x),u,w)) = x. [hyper(255,a,3223,a(flip),b,7957,a)]. 7959 T(x,K(y,x) * z) = T(x,z). [para(5608(a,1),7957(a,1,2)),flip(a)]. 7960 T(x,T(y,x) \ z) = T(x,y \ z). [para(5560(a,1),7957(a,1,2))]. 7961 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7957(a,1),5819(a,1,1))]. 7963 T(x,(y / x) \ z) = T(x,(x \ y) \ z). [para(6053(a,1),7957(a,1,2)),flip(a)]. 7965 K(x,T(y,K(x,z) * u)) = K(T(x,u),y). [para(7957(a,1),7542(a,1,1)),flip(a)]. 7966 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7959(a,1),4783(a,1,3))]. 7967 T(x,y * K(z,x)) = T(x,y). [para(7627(a,1),7959(a,1,2))]. 7968 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(7967(a,1),5253(a,1,2,1)),flip(a)]. 7970 T(x,y * K(x,z)) = T(x,y). [para(6672(a,1),7967(a,1,2)),flip(a)]. 7971 T(x,y / (z / x)) = T(x,y / (x \ z)). [para(6878(a,1),7967(a,1,2))]. 7974 K(x,y * K(x,z)) = x \ T(x,y). [hyper(80,a,7970,a(flip),b,5252,a(flip)),flip(a)]. 7975 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(7970(a,1),183(a,1,2,1))]. 7977 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(7970(a,1),4462(a,1,2,1))]. 7978 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(6189(a,1),7970(a,1,2,2))]. 7980 T(x,y * (z * x)) = T(x,y * (x * z)). [para(7053(a,1),7970(a,1,2)),flip(a)]. 7981 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(255,a,7776,a(flip),b,7960,a(flip)),flip(a)]. 7982 K(x,y * K(x,z)) = K(x,y). [hyper(255,a,5186,a,b,7974,a)]. 7983 T(x,K(y,x * K(y,z))) = x. [para(7974(a,2),3151(a,1,2))]. 7984 K(x,y * K(x,z)) != u | K(x,y) = u. [para(7974(a,2),5325(a,1))]. 7987 K(x,y * R(K(x,z),u,w)) = K(x,y). [para(6361(a,1),7982(a,1,2,2))]. 7988 K(x,y * K(z,x)) = K(x,y). [para(6672(a,1),7982(a,1,2)),flip(a)]. 7990 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(6886(a,1),7982(a,1,2)),flip(a)]. 7991 K(x,y \ T(z,x)) = K(x,y \ z). [para(6967(a,1),7982(a,1,2)),flip(a)]. 7992 K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). [para(7124(a,1),7982(a,1,2)),flip(a)]. 7993 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7982(a,1),6729(a,1,1)),flip(a)]. 7994 K(x,K(x,y) * z) = K(x,z). [para(7559(a,1),7982(a,1,2))]. 7995 K(x,K(y,x) * z) = K(x,z). [para(7572(a,1),7982(a,1,2)),flip(a)]. 7996 K(x,K(y,x * K(y,z))) = 1. [hyper(41,a,7983,a)]. 7997 K(x * K(y,z),z) = 1 / K(z,x). [para(7988(a,1),5394(a,1,2)),flip(a)]. 7998 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(7988(a,1),5911(a,1,1))]. 7999 K(x,y \ T(y * z,x)) = K(x,z). [para(6018(a,2),7988(a,1,2))]. 8002 K(x,T(x,y) * z) = K(x,x * z). [para(5272(a,1),7994(a,1,2))]. 8003 K(x,K(y,x) \ z) = K(x,z). [para(5600(a,2),7994(a,1,2))]. 8005 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(6361(a,1),7994(a,1,2,1))]. 8006 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(6205(a,1),7995(a,1,2,1))]. 8007 K(x * K(y,z),z) = K(x,z). [hyper(255,a,5394,a(flip),b,7997,a)]. 8008 K(x * K(y,z),z) != u | K(x,z) = u. [para(7997(a,2),5395(a,1))]. 8009 K(x * T(y,z),z) = K(x * y,z). [para(1562(a,1),8007(a,1,1))]. 8010 R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). [para(8007(a,1),4395(a,1,1))]. 8012 K(x * L(K(y,z),u,w),z) = K(x,z). [para(6475(a,1),8007(a,1,1,2))]. 8013 K(x * T(y,z),y) = K(x * y,y). [para(6633(a,1),8007(a,1,1)),flip(a)]. 8014 K(x * K(y,z),y) = K(x,y). [para(6672(a,1),8007(a,1,1)),flip(a)]. 8015 K(x * K(y,T(z,u)),z) = K(x,z). [para(7542(a,1),8007(a,1,1,2))]. 8016 K(K(x,y) * z,y) = K(z,y). [para(7525(a,1),8007(a,1,1))]. 8017 K(K(x,y) * z,x) = K(z,x). [para(7527(a,1),8007(a,1,1)),flip(a)]. 8018 K(K(x,y) \ z,x) = K(z,x). [para(7625(a,1),8007(a,1,1))]. 8019 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(8014(a,1),5996(a,1,1,1,2)),flip(a)]. 8022 K(K(x,y) * z,x) = K(z * K(x,u),x). [hyper(255,a,8014,a,b,8017,a)]. 8025 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6361(a,1),8017(a,1,1,1))]. 8026 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(8017(a,1),6586(a,1,1))]. 8028 K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). [para(7828(a,2),8002(a,1,2))]. 8029 K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). [para(7475(a,1),8009(a,1,1,2)),flip(a)]. 8030 K(x * T(y,z),y) = K(y * x,y). [hyper(255,a,5894,a(flip),b,8013,a)]. 8031 K(T(x,y) * z,x) = K(z * T(x,y),x). [para(104(a,1),8015(a,1,1)),flip(a)]. 8032 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(6020(a,1),8015(a,1,1))]. 8033 K(x * (y / T(x,z)),x) = K(y,x). [para(21(a,1),8030(a,1,1)),flip(a)]. 8034 T(x,y * (z * K(x,u))) = T(x,y * z). [para(112(a,1),7978(a,1,2))]. 8035 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(7046(a,1),7978(a,1,2,2))]. 8037 L(K(x,y),y,z) != u | K(x,y) = u. [para(6577(a,2),7984(a,1))]. 8038 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(6886(a,1),7984(a,1,2))]. 8039 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(7032(a,1),8037(a,1))]. 8041 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(7208(a,1),8005(a,1,2,1))]. 8042 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(6382(a,1),8006(a,1,2,1))]. 8044 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1560(a,1),8008(a,1,1))]. 8047 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(7009(a,1),8012(a,1,1,2))]. 8048 K(x * (y * K(z,u)),z) = K(x * y,z). [para(7083(a,1),8012(a,1,1)),flip(a)]. 8049 K((K(x,y) * z) * u,x) = K(z * u,x). [para(122(a,1),8025(a,1,1))]. 8050 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(7208(a,1),8025(a,1,1,1))]. 8051 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(432(a,1),8035(a,1,2))]. 8052 K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6). [para(8035(a,1),5195(a,1,1,1)),flip(a)]. 8053 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(5175(a,1),8041(a,1,2))]. 8054 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5536(a,1),8041(a,1,2)),flip(a)]. 8055 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(5592(a,1),8041(a,1,2))]. 8056 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(7627(a,1),8042(a,1,2))]. 8057 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(263(a,1),8047(a,1,1))]. 8058 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7527(a,1),8047(a,1,1)),flip(a)]. 8059 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(5175(a,1),8050(a,1,1))]. 8060 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(5226(a,1),8050(a,1,1)),flip(a)]. 8061 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(6878(a,1),8056(a,1,2))]. 8062 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(255,a,7519,a(flip),b,7963,a)]. 8063 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [hyper(255,a,7542,a(flip),b,7965,a)]. 8064 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(255,a,7496,a,b,7971,a(flip)),flip(a)]. 8065 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(114(a,2),7981(a,1,2))]. 8066 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(255,a,7452,a,b,7990,a(flip)),flip(a)]. 8067 K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). [para(5608(a,1),7992(a,1,2,1)),flip(a)]. 8069 K(K(x,y) * z,x) != u | K(z,x) = u. [para(8022(a,2),8008(a,1))]. 8070 K(x * y,x) != z | K(y * x,x) = z. [para(5175(a,1),8069(a,1,1))]. 8071 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(8032(a,1),5821(a,1,1,2))]. 8075 K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). [para(7028(a,1),8048(a,1,1,2))]. 8076 K(x * (K(y,z) * u),y) = K(x * u,y). [para(7559(a,1),8048(a,1,1,2))]. 8077 K(K(x,T(y,z)) * u,z) = K(K(x,y) * u,z). [para(7548(a,1),8049(a,1,1,1))]. 8078 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(2807(a,1),8062(a,1,2,1)),flip(a)]. 8080 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(8076(a,1),5994(a,1,2,1,2)),flip(a)]. 8081 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(37(a,1),8044(a,1,1,2))]. 8082 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [hyper(255,a,5252,a,b,7826,a)]. 8085 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(18(a,1),8082(a,1,2,2,1))]. 8086 T(x,y \ ((x \ z) * x)) != u | x * K(x,y \ z) = u. [para(8082(a,2),5353(a,1))]. 8087 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(8082(a,1),5195(a,1,1,1)),flip(a)]. 8088 T(x,(y / x) \ z) = T(x,y \ (z * x)). [hyper(255,a,8062,a,b,8085,a),flip(a)]. 8089 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(255,a,7519,a,b,8085,a),flip(a)]. 8090 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(8085(a,1),5253(a,1,2,1))]. 8091 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(8088(a,1),5195(a,1,1,1))]. 8092 (x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x. [hyper(255,a,5302,a(flip),b,7839,a)]. 8093 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5641(a,1),7843(a,1,1,1)),flip(a)]. 8094 (x \ (y * T(x,z))) * x != u * T(x,z) | T(y,x) = u. [para(7854(a,2),25(a,1))]. 8095 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(6621,a,7887,a),flip(a)]. 8096 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(7921(a,2),7091(a,1,2))]. 8097 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(6837(a,1),7927(a,1,1,1)),flip(a)]. 8098 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(5325,a,7931,a)]. 8099 K(x,K(y,z)) = K(z,K(y,x)). [hyper(255,a,7783,a(flip),b,8098,a(flip))]. 8100 K(K(x,y),z) = K(x,K(y,z)). [hyper(6099,a,8099,a)]. 8101 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(255,a,8098,a(flip),b,8099,a)]. 8103 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [para(8099(a,1),104(a,1,2))]. 8104 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(8099(a,1),5208(a,2,1)),flip(a)]. 8105 x * K(y,K(z,x)) = T(x,K(z,y)). [para(8099(a,1),5252(a,2,2)),flip(a)]. 8106 K(x,K(y,z)) * z = T(z,K(y,x)). [para(8099(a,1),5263(a,2,1)),flip(a)]. 8107 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(8099(a,1),5227(a,1,1))]. 8110 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(8099(a,1),6093(a,1,1))]. 8112 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(8099(a,1),6094(a,1,2))]. 8113 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(8099(a,1),6096(a,1,1))]. 8115 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(8099(a,1),7549(a,1,2))]. 8116 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [para(8099(a,1),7924(a,1,1))]. 8117 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(255,a,6209,a(flip),b,8100,a)]. 8118 R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). [hyper(255,a,6358,a,b,8100,a(flip)),flip(a)]. 8119 T(x,K(y,z)) * K(y,K(z,x)) = x. [para(8100(a,1),5194(a,1,2))]. 8120 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(8100(a,1),5255(a,1,2))]. 8122 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(8100(a,1),6119(a,1))]. 8123 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(8100(a,1),6476(a,2,1))]. 8124 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(8100(a,1),6618(a,1,2))]. 8128 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(8017(a,1),8100(a,1,1)),flip(a)]. 8129 K(x,K(y,z / y)) = K(x,K(y,z)). [para(21(a,1),8101(a,1,2,2)),flip(a)]. 8130 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(100(a,1),8101(a,1,2,2))]. 8131 K(x,K(y,y * z)) = K(x,K(y,z)). [para(5842(a,1),8101(a,1,2))]. 8132 T(x,K(y,y * z)) = K(z,K(y,x)) * x. [para(7782(a,1),8106(a,1,1)),flip(a)]. 8133 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(8106(a,1),8063(a,1,2,2))]. 8134 K(x,K(y,z)) = K(y,K(x,z)). [hyper(6097,a,8110,a)]. 8135 K(K(x,y),z) = K(y,K(z,x)). [hyper(5384,a,8110,a)]. 8136 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(8110(a,1),6097(a,1))]. 8137 K(K(x,y),z) = K(y,K(x,z)). [hyper(255,a,8100,a,b,8134,a),flip(a)]. 8138 K(x,K(y,z)) = K(z,K(x,y)). [hyper(255,a,8099,a,b,8134,a)]. 8139 K(x,K(x * y,z)) = K(y,K(x,z)). [hyper(255,a,7782,a(flip),b,8134,a)]. 8140 x * K(y,K(x,z)) = T(x,K(y,z)). [para(8134(a,1),5252(a,2,2)),flip(a)]. 8141 K(x,K(y,z)) * y = T(y,K(x,z)). [para(8134(a,1),5263(a,2,1)),flip(a)]. 8143 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(5842(a,2),8134(a,1,2))]. 8144 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(8134(a,1),6094(a,1,2))]. 8146 K(x,K(T(y,z),u)) = K(y,K(x,T(u,z))). [para(7542(a,2),8134(a,1,2))]. 8147 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(7728(a,1),8134(a,1,2)),flip(a)]. 8148 K(x,y) * K(y,K(z,x)) = K(x,T(y,z)). [para(8134(a,1),7549(a,1,2))]. 8149 K(x,K(y,K(x,z) * u)) = K(y,K(x,u)). [para(7994(a,1),8134(a,1,2)),flip(a)]. 8150 x * K(y,K(z,x)) = T(x,K(y,z)). [para(8134(a,1),8105(a,1,2))]. 8151 K(x,K(y,z)) * z = T(z,K(x,y)). [para(8134(a,1),8106(a,1,1))]. 8152 K(K(x,y),z) = K(x,K(z,y)). [hyper(255,a,8099,a,b,8135,a)]. 8153 K(K(x,y),z) = K(z,K(x,y)). [hyper(255,a,8099,a,b,8137,a)]. 8154 K(x,K(y,z)) = K(x,K(z,y)). [hyper(255,a,8135,a(flip),b,8137,a(flip))]. 8155 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(8137(a,1),5175(a,1,1))]. 8156 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(8137(a,1),6119(a,1))]. 8157 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(6209(a,1),8137(a,1,1)),flip(a)]. 8158 x * K(K(y,z),x) = T(x,K(y,z)). [para(8137(a,2),8105(a,1,2))]. 8159 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(255,a,7567,a,b,8138,a),flip(a)]. 8160 K(x,K(y,x \ z)) = K(z,K(x,y)). [hyper(255,a,7784,a(flip),b,8138,a)]. 8161 K(x,K(y,z)) * y = T(y,K(z,x)). [para(8138(a,1),5263(a,2,1)),flip(a)]. 8164 K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. [para(8138(a,2),5634(a,1,1))]. 8165 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(8138(a,2),6245(a,1,1))]. 8169 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7542(a,1),8138(a,1,2))]. 8170 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(8138(a,2),7548(a,1,1))]. 8173 K(x,K(y,z)) * x = T(x,K(z,y)). [para(8138(a,1),8106(a,1,1))]. 8176 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(8152(a,1),6119(a,1))]. 8177 K(x,y) * K(z,K(x,y)) = T(K(x,y),z). [para(8153(a,1),5252(a,2,2)),flip(a)]. 8178 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(8153(a,1),5382(a,1,1))]. 8179 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(8153(a,1),5560(a,1,1))]. 8180 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(8153(a,1),5622(a,1,1))]. 8183 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(8153(a,1),6119(a,1))]. 8185 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(6430(a,1),8154(a,1,2)),flip(a)]. 8187 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(8154(a,1),7549(a,1,2))]. 8188 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(8119(a,1),8034(a,1,2,2)),flip(a)]. 8189 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(4680(a,1),8129(a,1,2))]. 8190 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(5374(a,1),8129(a,1,2))]. 8191 K(x * y,x) * K(z,K(x,y)) = K(x * y,T(x,z)). [para(8131(a,1),7549(a,1,2))]. 8192 K(x,K(x * y,z)) = K(x,K(y,z)). [hyper(255,a,8134,a,b,8139,a)]. 8193 T(x,K(y,z)) = T(x,K(z,y)). [hyper(255,a,8105,a(flip),b,8150,a(flip))]. 8194 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [hyper(6947,a,8193,a),flip(a)]. 8195 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(6941,a,8193,a)]. 8196 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(6871,a,8193,a),flip(a)]. 8197 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(6838,a,8193,a),flip(a)]. 8198 T(T(x,K(y,z)),K(y,z)) = x. [hyper(6800,a,8193,a)]. 8199 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(5717,a,8193,a)]. 8200 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(255,a,7852,a(flip),b,8193,a)]. 8201 T(x * y,K(z,y)) = y * T(x,T(y,z)). [hyper(255,a,6907,a(flip),b,8193,a)]. 8203 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(8193(a,1),4519(a,1,2))]. 8205 T(T(x,y),K(z,u)) != w | T(T(x,K(u,z)),y) = w. [para(8193(a,1),5829(a,1))]. 8207 T(T(x,K(y,z)),K(y,z)) != u | u = x. [para(8193(a,1),6800(a,1,1))]. 8208 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(8193(a,1),7855(a,1,1))]. 8209 T(x,K(y,z)) * z = z * T(x,T(z,y)). [para(8193(a,1),7859(a,1,1))]. 8212 T(K(x,y),z) * z = z * K(x,y). [para(8198(a,1),4584(a,1,2))]. 8214 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(8198(a,1),6800(a,1,1)),flip(b)]. 8216 K(x,K(y,z)) * (z * R(K(y,u),w,v5)) = T(z * R(K(y,u),w,v5),K(x,y)). [para(7987(a,1),8151(a,1,1,2))]. 8217 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(8158(a,1),7130(a,1,3)),flip(a)]. 8218 K(x,K(y,x \ z)) = K(x,K(y,z)). [hyper(255,a,8138,a,b,8160,a)]. 8219 K(x,K(y,x \ z)) = K(x,K(z,y)). [hyper(255,a,8134,a,b,8160,a)]. 8220 T(x,K(y,x \ z)) = K(z,K(x,y)) * x. [para(8160(a,1),5263(a,2,1))]. 8222 K(x,K(y \ z,y)) = K(x,K(z / y,z)). [para(6409(a,1),8190(a,1,2))]. 8223 K(x,K(x \ y,z)) = K(x,K(y,z)). [para(19(a,1),8192(a,1,2,1)),flip(a)]. 8224 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(8200(a,1),6102(a,1,1))]. 8225 K(T(x,T(y,z)),z) = K(T(x,y),z). [para(8200(a,1),7524(a,1,1))]. 8226 K(x,T(T(y,z),K(u,y * z))) = K(x,T(y,T(y * z,u))). [para(8200(a,1),7738(a,1,2)),flip(a)]. 8227 T(T(K(x,y),z),z) = K(x,y). [hyper(393,a,8212,a)]. 8228 (x * T(x \ y,z)) / y = T(K(x \ y,z),y). [hyper(81,a,6643,a,b,8212,a)]. 8229 T(K(x \ y,z),x) = K(y / x,z). [hyper(23,a,7626,a,b,8212,a)]. 8230 T(K(x \ y,z),y) = K(y / x,z). [hyper(23,a,6788,a,b,8212,a)]. 8231 T(K(x,T(y,z)),z) = K(x,y). [hyper(23,a,7559,a(flip),b,8212,a)]. 8233 K(x \ y,z) * y = y * K(y / x,z). [para(6755(a,1),8212(a,1,1))]. 8234 K(T(x,y),z) * y = y * K(x,z). [para(7522(a,2),8212(a,1,1))]. 8235 K(x,T(y,z)) * z = z * K(x,y). [para(7539(a,2),8212(a,1,1))]. 8236 K(x,T(T(y,z),z)) = K(x,y). [hyper(255,a,7781,a,b,8227,a(flip)),flip(a)]. 8237 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(8227(a,1),183(a,1,2,1)),flip(a)]. 8238 R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). [para(8227(a,1),184(a,1,2,1)),flip(a)]. 8239 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(8227(a,1),206(a,1,2,2,1))]. 8242 K(T(x,y),T(z,y)) = K(x,z). [hyper(7698,a,8231,a)]. 8243 K(x \ y,T(z,y)) = K(y / x,z). [hyper(6936,a,8231,a)]. 8244 K(T(x,y) \ 1,T(z,y)) = K(x \ 1,z). [hyper(5966,a,8231,a)]. 8246 (x * K(y,z)) / x = K(y,T(z,x)). [para(8231(a,1),167(a,1,1,2))]. 8248 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(8231(a,1),184(a,1,2,1)),flip(a)]. 8249 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(8231(a,1),7526(a,1,1)),flip(a)]. 8250 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [hyper(255,a,7583,a,b,8236,a(flip)),flip(a)]. 8251 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(255,a,7885,a(flip),b,8236,a(flip))]. 8252 K(x,T(y \ z,z)) = K(x,z / y). [hyper(255,a,7849,a(flip),b,8236,a(flip)),flip(a)]. 8253 K((x * y) / x,z) = K(y,T(z,x)). [hyper(255,a,7586,a(flip),b,8236,a(flip))]. 8254 K(x \ y,T(z,x)) = K(y / x,z). [hyper(255,a,7584,a(flip),b,8236,a(flip)),flip(a)]. 8255 K(x,T(y \ z,y)) = K(x,z / y). [para(129(a,1),8236(a,1,2,1))]. 8256 K(x,(y * z) / y) = K(x,T(z,y)). [para(166(a,1),8236(a,1,2,1)),flip(a)]. 8257 K(T(x,y),z \ y) = K(x,y / z). [hyper(7573,a,8242,a)]. 8259 K(K(x,y) * z,T(u,z)) = K(z * K(x,y),u). [hyper(255,a,7621,a(flip),b,8242,a(flip)),flip(a)]. 8260 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(45(a,2),8242(a,1,1))]. 8261 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(45(a,2),8242(a,1,2))]. 8262 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(47(a,2),8242(a,1,2))]. 8263 K(T(x,y),y \ z) = K(x,z / y). [para(129(a,1),8242(a,1,2))]. 8264 K(x,(y * z) / y) = K(T(x,y),z). [para(166(a,1),8242(a,1,2)),flip(a)]. 8265 K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). [para(703(a,2),8242(a,1,2)),flip(a)]. 8267 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(1061(a,1),8242(a,1,2))]. 8268 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(4506(a,1),8242(a,1,2))]. 8269 K(x * K(y,x),z) = K(x,T(z,y)). [para(5216(a,1),8242(a,1,1)),flip(a)]. 8270 x * K(T(x,y),T(z,y)) = T(x,z). [para(8242(a,2),5252(a,2,2)),flip(a)]. 8271 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(8242(a,1),5681(a,1,1)),flip(a)]. 8272 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(8242(a,1),6382(a,1,1))]. 8273 L(K(x,y),z * T(y,u),w) = K(T(x,u),L(T(y,u),z,w)). [para(8242(a,1),7009(a,1,1))]. 8274 L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)). [para(8242(a,1),7046(a,1,1))]. 8276 K(x,T(y,z)) * (z * K(y,x)) = z. [para(8242(a,1),7650(a,1,2,2))]. 8278 K(x,K(y,x * z)) = K(x,K(y,z)). [para(18(a,1),8218(a,1,2,2)),flip(a)]. 8279 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(255,a,5998,a,b,8229,a)]. 8281 K((x * y) \ z,T(x,y)) = K(z / (x * y),x). [hyper(255,a,6951,a(flip),b,8229,a(flip)),flip(a)]. 8282 K(x / y,x / z) = K(y \ x,z \ x). [hyper(6900,a,8230,a),flip(a)]. 8283 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(255,a,6951,a(flip),b,8230,a(flip)),flip(a)]. 8285 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(7621(a,1),8234(a,1,1))]. 8286 K(x,T(y \ 1,z)) = K(x,y \ K(y,z)). [hyper(23,a,6431,a,b,8235,a)]. 8288 K(x,T((y \ z) \ 1,y)) = K(x,y / z). [hyper(23,a,6113,a(flip),b,8235,a)]. 8289 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(81,a,8235,a(flip),b,5221,a)]. 8290 K(x,T(y,z)) * z != z * u | K(x,y) = u. [para(8235(a,2),24(a,1))]. 8291 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(8235(a,1),574(a,1,2,1)),flip(a)]. 8292 (x * K(y,z)) * a(K(y,T(z,x)),u,u \ x) = (K(y,T(z,x)) * u) * (u \ x). [para(8235(a,1),633(a,1,1))]. 8293 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(8235(a,1),5220(a,1,2)),flip(a)]. 8294 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(6956(a,1),8235(a,1,1))]. 8295 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. [para(8235(a,1),5630(a,1,1,3)),flip(a)]. 8296 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(8235(a,1),8063(a,1,2,2))]. 8297 K(x,T(y * K(x,z),u)) = K(x,T(y,u)). [para(8235(a,1),8067(a,1,2,1))]. 8298 K(x \ (y \ z),T(y,z)) = K((y \ z) / x,y). [hyper(7534,a,8243,a)]. 8299 L(K(x \ y,T(z,u * y)),y,u) = K((u * y) / (u * x),z). [hyper(7074,a,8243,a)]. 8301 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(7957(a,1),8243(a,1,2))]. 8303 (K(x,T(y,z)) * u) * (u \ z) = z * R(K(x,y),u,u \ z). [para(8246(a,1),776(a,1,1,1))]. 8304 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(8246(a,1),769(a,1,1)),flip(a)]. 8305 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [hyper(7914,a,8252,a)]. 8307 K(x,T(y \ (x * z),z)) = K(x,(x * z) / y). [hyper(255,a,7683,a(flip),b,8252,a(flip)),flip(a)]. 8308 K(x,y / (y / z)) = K(x,T(z,y)). [para(73(a,1),8252(a,1,2,1)),flip(a)]. 8310 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(100(a,1),8253(a,1,1,1))]. 8311 K(R((x * y) / x,z,u),w) = K(R(y,z,u),T(w,x)). [para(775(a,2),8253(a,1,1))]. 8314 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(4148(a,1),8253(a,1,1))]. 8315 K((x \ y) \ 1,T(z,y)) = K(x / y,z). [hyper(255,a,6707,a,b,8254,a(flip)),flip(a)]. 8317 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(7970(a,1),8254(a,1,2))]. 8318 K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). [para(29(a,2),8255(a,1,2,1)),flip(a)]. 8322 K(x,L(y / (z \ u),z \ u,z)) = K(x,T(u \ (z * y),z \ u)). [para(785(a,1),8256(a,1,2))]. 8325 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(4454(a,1),8263(a,1,1))]. 8327 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(7967(a,1),8263(a,1,1))]. 8328 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(255,a,5446,a,b,8264,a(flip)),flip(a)]. 8329 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(775(a,2),8264(a,1,2))]. 8330 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(8058(a,1),8269(a,1,1,2)),flip(a)]. 8331 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(5307(a,1),8270(a,1,2,2)),flip(a)]. 8332 K(x * T(y,z),T(y,u)) = K(x * y,T(y,u)). [para(8270(a,1),8048(a,1,1,2))]. 8333 K(x,T(y,z * K(u,x))) = K(x,T(y,z)). [para(8276(a,1),8063(a,1,2,2)),flip(a)]. 8336 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(8308(a,1),7322(a,1,2))]. 8337 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(8308(a,1),6922(a,1,1,2))]. 8338 K(x,y / (y / z)) != u | K(T(x,y),z) = u. [para(8308(a,2),7658(a,1))]. 8342 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(8137(a,2),8122(a,1))]. 8345 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7542(a,1),8183(a,1,2))]. 8346 K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. [para(7584(a,2),8183(a,1,2))]. 8347 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(8101(a,2),8183(a,1))]. 8352 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(7659(a,1),8104(a,1,1,2))]. 8353 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(8112(a,2),7895(a,1))]. 8354 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(8003(a,1),8112(a,1,2,2)),flip(a)]. 8355 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7553(a,1),8113(a,1,1,2)),flip(a)]. 8356 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(8115(a,1),24(a,1))]. 8357 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(7247(a,1),8115(a,1,2,2))]. 8358 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(8116(a,1),7957(a,1,2))]. 8359 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(8116(a,1),8041(a,1,2))]. 8360 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(129(a,1),8358(a,1,2,2)),flip(a)]. 8362 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(255,a,8100,a(flip),b,8128,a)]. 8364 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(255,a,8106,a(flip),b,8132,a)]. 8366 T(x,K(y,y * T(x,z))) = x. [hyper(255,a,7593,a(flip),b,8364,a)]. 8367 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(19(a,1),8364(a,1,2,2)),flip(a)]. 8369 T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). [hyper(40,a,8366,a)]. 8370 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(255,a,7539,a(flip),b,8133,a(flip)),flip(a)]. 8371 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7542(a,1),8144(a,1,2,2))]. 8372 K(x,y) * K(y,K(z,x)) != u | K(x,T(y,z)) = u. [para(8144(a,2),7895(a,1))]. 8373 K(x,K(T(y,z),u)) = K(y,K(u,T(x,z))). [hyper(8122,a,8146,a)]. 8374 K(x,y) * K(y,K(z,T(x,u))) = K(x,T(y,T(z,u))). [para(7542(a,1),8148(a,1,2,2))]. 8375 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(255,a,8134,a,b,8149,a)]. 8376 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(2081,a,8159,a)]. 8377 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(7879(a,1),8169(a,2,2))]. 8380 R(K(x,y),z,u) \ R(T(K(x,y),w),z,u) = K(w,R(K(x,y),z,u)). [para(8177(a,1),5994(a,1,2,1))]. 8386 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(255,a,8201,a,b,8209,a),flip(a)]. 8387 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(255,a,8161,a(flip),b,8220,a)]. 8389 T(x,K(y,x * z)) = T(x,K(y,z)). [para(18(a,1),8387(a,1,2,2)),flip(a)]. 8392 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(255,a,8193,a,b,8389,a)]. 8394 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(8392(a,1),43(a,1,1)),flip(a)]. 8395 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(8392(a,1),8208(a,1,1))]. 8397 K(x,K(y / z,y)) = K(x,K(z,z \ y)). [hyper(8183,a,8222,a),flip(a)]. 8398 K(x \ (y \ z),y) * z = z * K(z / (y * x),y). [para(7505(a,1),8233(a,1,1))]. 8402 K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,y \ x)). [para(4506(a,1),8244(a,1,1,1)),flip(a)]. 8403 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(255,a,5853,a,b,8249,a)]. 8404 K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). [para(8249(a,1),5190(a,2,2))]. 8407 T(K(x \ y,z),x) != u | K(y / x,z) = u. [para(8279(a,2),6146(a,1))]. 8409 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(7292,a,8282,a)]. 8410 K(x \ 1,y) * K(y,x \ K(x,z)) = K(x \ 1,K(y,z)). [para(8286(a,1),8159(a,1,2))]. 8411 K(x,T(1 / (y \ z),y)) = K(x,y / z). [hyper(255,a,3710,a,b,8288,a(flip)),flip(a)]. 8415 (x * (K(y,z) * K(x,u))) * K(z,y) = T(x,T(u,K(y,z))). [hyper(6674,a,8293,a)]. 8416 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(8293(a,2),6382(a,1,2))]. 8417 (x * (K(y,z) * K(x,u))) * K(z,y) != w | T(x,T(u,K(y,z))) = w. [para(8293(a,1),6675(a,1,1)),flip(b)]. 8418 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(7053(a,1),8296(a,1,2,2)),flip(a)]. 8419 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(7231(a,1),8296(a,1,2,2)),flip(a)]. 8420 K(x,T(T(K(y,x) * z,u),w)) = K(x,T(T(z,u),w)). [para(7124(a,1),8297(a,1,2,1)),flip(a)]. 8421 K((x \ y) \ 1,T(z,y)) = K((y / x) \ 1,z). [hyper(255,a,5998,a,b,8315,a)]. 8422 K(x,T(y,z * L(K(u,x),w,v5))) = K(x,T(y,z)). [para(6475(a,1),8333(a,1,2,2,2))]. 8423 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(255,a,7797,a(flip),b,8360,a)]. 8424 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(70(a,1),8423(a,1,2,2)),flip(a)]. 8426 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5608(a,1),8362(a,1,1)),flip(a)]. 8427 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(8362(a,1),6642(a,1,3))]. 8428 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(8235(a,1),8362(a,1,1))]. 8429 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(7345,a,8427,a)]. 8430 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(255,a,8219,a(flip),b,8373,a(flip))]. 8431 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(6053(a,1),8375(a,1,2,2)),flip(a)]. 8432 K(x,K(y,z * K(u,x))) = K(x,K(y,z)). [para(8276(a,1),8375(a,1,2,2)),flip(a)]. 8433 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(8376(a,1),6675(a,1,1)),flip(b)]. 8434 x \ T(y,K(z,x)) = T(x \ y,K(z,x)). [hyper(5047,a,8386,a)]. 8435 K(x,K(y / z,y)) = K(x,K(z,y)). [hyper(255,a,8190,a(flip),b,8397,a)]. 8436 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(70(a,1),8435(a,1,2,1)),flip(a)]. 8437 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(8183,a,8436,a)]. 8438 K(x,K(y,z \ y)) = K(x,K(y,z)). [hyper(255,a,8154,a,b,8437,a)]. 8439 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(255,a,8189,a,b,8437,a(flip)),flip(a)]. 8440 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(255,a,8189,a,b,8438,a(flip)),flip(a)]. 8442 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(8183,a,8439,a)]. 8443 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(8156,a,8439,a)]. 8444 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(255,a,8134,a,b,8439,a)]. 8445 K(x,K(y,z / (u * z))) = K(x,K(u,y)). [para(5782(a,2),8439(a,1,2))]. 8446 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6580(a,1),8439(a,1,2)),flip(a)]. 8447 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(8439(a,2),8183(a,1))]. 8448 K(x,K(y \ 1,z)) = K(z,K(x,y)). [hyper(8176,a,8440,a)]. 8449 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(8156,a,8440,a)]. 8451 T(x,K(y,z \ 1)) = x * K(x,K(y,z)). [para(8440(a,1),5252(a,2,2))]. 8454 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(8440(a,1),8112(a,1,2))]. 8456 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(255,a,8134,a,b,8442,a)]. 8458 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(6217(a,2),8442(a,1,2))]. 8459 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(255,a,8134,a,b,8443,a)]. 8463 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(6225(a,1),8448(a,1,2)),flip(a)]. 8464 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(7107,a,8449,a)]. 8479 T(x,T(T(y,z),z)) = T(x,y). [hyper(22,a,7787,a,b,8403,a(flip)),flip(a)]. 8480 (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). [para(8403(a,2),180(a,1,1,1))]. 8481 T(x,T(y \ z,y)) = T(x,z / y). [para(129(a,1),8479(a,1,2,1))]. 8482 T(x,(y * z) / y) = T(x,T(z,y)). [para(166(a,1),8479(a,1,2,1)),flip(a)]. 8484 T(x,y * K(z,y)) = T(x,T(y,z)). [para(5216(a,1),8479(a,1,2,1)),flip(a)]. 8486 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(8479(a,1),8095(a,2,2))]. 8489 T(x,(y * L(z,u,w)) / y) = T(x,L(T(z,y),u,w)). [para(45(a,2),8482(a,2,2))]. 8490 T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). [para(775(a,2),8482(a,1,2))]. 8492 T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). [hyper(255,a,4889,a,b,8484,a(flip)),flip(a)]. 8498 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(8424(a,1),7861(a,1,2))]. 8500 K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). [para(8432(a,1),8151(a,1,1))]. 8501 T(x \ K(x,y),K(z,x)) = x \ K(x,y). [para(2074(a,1),8434(a,1,2)),flip(a)]. 8502 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(8445(a,2),8183(a,1))]. 8503 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(7120(a,1),8446(a,1,2)),flip(a)]. 8504 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(8446(a,1),8183(a,1))]. 8505 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(255,a,5252,a,b,8451,a)]. 8507 T(x,K(y \ 1,z)) = T(x,K(z,y)). [hyper(8214,a,8505,a)]. 8508 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(255,a,7852,a(flip),b,8505,a(flip))]. 8518 T(x,T(y,z)) * T(z,x) = z * T(x,y). [hyper(5936,a,8486,a)]. 8519 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(81,a,8486,a(flip),b,5538,a(flip))]. 8521 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(7580(a,1),8486(a,1,1))]. 8523 T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). [para(8501(a,1),8208(a,1,1)),flip(a)]. 8524 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(255,a,7852,a(flip),b,8508,a(flip))]. 8525 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(255,a,5252,a(flip),b,8524,a)]. 8529 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [hyper(81,a,274,a(flip),b,8518,a)]. 8530 (x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u. [para(8518(a,1),304(a,1,1)),flip(b)]. 8532 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1990(a,1),8519(a,1,1,2))]. 8533 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(7970(a,1),8519(a,1,1,2)),flip(a)]. 8535 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(5323,a,8525,a)]. 8539 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(255,a,7884,a(flip),b,8535,a(flip)),flip(a)]. 8540 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(255,a,7883,a(flip),b,8535,a(flip)),flip(a)]. 8542 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(255,a,7536,a(flip),b,8535,a(flip)),flip(a)]. 8544 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6850(a,1),8535(a,1,2))]. 8548 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(584(a,1),8539(a,1,2)),flip(a)]. 8551 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(8544(a,1),7900(a,1))]. 8555 K(T(x,y \ z),y) != u | K(T(x,z),y) = u. [para(8268(a,2),8338(a,1))]. 8558 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(129(a,1),8359(a,1,2,2)),flip(a)]. 8559 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(7522(a,2),8407(a,1))]. 8560 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(7539(a,2),8407(a,1))]. 8561 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(5786(a,1),8447(a,1,2))]. 8565 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(7883(a,2),8551(a,1))]. 8566 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(4455(a,1),8559(a,1,1))]. 8567 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(7589(a,1),8559(a,1))]. 8571 K(x,T(y * z,z)) != u | K(x,T(y * z,y)) = u. [para(7541(a,1),8565(a,1))]. 8572 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(255,a,6039,a(flip),b,7937,a(flip))]. 8573 K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). [para(19(a,1),7941(a,1,2,2,2))]. 8574 K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). [para(8082(a,1),7941(a,1,2)),flip(a)]. 8575 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(8089(a,2),7941(a,1,2))]. 8576 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(5255,a,7945,a),flip(a)]. 8577 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(255,a,7792,a,b,8576,a(flip)),flip(a)]. 8579 T(x,T((y / z) \ 1,y)) = T(x,y \ z). [para(73(a,1),8577(a,2,2,2))]. 8582 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [para(8579(a,1),8225(a,1,1)),flip(a)]. 8585 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(3513,a,8103,a),flip(a)]. 8586 K(x,K(y,R(x,z,u))) = 1. [para(126(a,1),8585(a,1,2,2,1))]. 8587 T(x,K(y,R(x,z,u))) = x. [hyper(42,a,8586,a)]. 8588 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(8587(a,1),43(a,1,1)),flip(a)]. 8589 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(6673(a,2),8155(a,1,2))]. 8590 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(8194(a,1),7542(a,1,1)),flip(a)]. 8591 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(8481(a,1),8224(a,1,1))]. 8592 T(K(x \ y,z),y) != u | K(y / x,z) = u. [para(8228(a,1),5493(a,1))]. 8593 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(7539(a,2),8592(a,1))]. 8594 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4506(a,1),8250(a,1,1,1)),flip(a)]. 8595 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(8250(a,1),8050(a,1,1,1))]. 8596 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(255,a,7944,a(flip),b,8259,a(flip))]. 8597 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1795(a,1),8260(a,1,1))]. 8598 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1795(a,1),8261(a,1,2))]. 8599 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(8403(a,1),8271(a,1,1))]. 8601 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(255,a,7216,a(flip),b,8283,a)]. 8602 K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. [para(8283(a,2),7217(a,1))]. 8604 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(255,a,6718,a(flip),b,8294,a)]. 8605 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(6105(a,1),8604(a,1,1))]. 8607 K(x \ (y \ z),y) * z = z * K((y \ z) / x,y). [para(8298(a,1),7559(a,1,2)),flip(a)]. 8608 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(255,a,6390,a(flip),b,8307,a)]. 8610 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(8560,a,8314,a)]. 8611 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(8369(a,1),7781(a,2,1))]. 8612 K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w. [para(8377(a,2),8136(a,1))]. 8613 T(T(x,y),K(z,x * y)) = T(x,T(y,z)). [hyper(255,a,7855,a(flip),b,8394,a)]. 8615 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(5830,a,8395,a)]. 8616 K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,x)). [para(73(a,1),8421(a,1,1,1)),flip(a)]. 8617 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8429(a,2),5619(a,1,1))]. 8618 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(255,a,8112,a(flip),b,8454,a(flip))]. 8621 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(8618(a,1),7871(a,1))]. 8631 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(129(a,1),8498(a,1,2,2)),flip(a)]. 8633 T(x,y) * T(x \ K(x,z),x) = (x \ K(x,z)) * T(x,y). [para(8523(a,1),127(a,1,2))]. 8635 K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). [hyper(255,a,7819,a(flip),b,8572,a(flip))]. 8636 K(x,T(y,(y * z) \ u)) = K(x,T(y,z \ u)). [para(7518(a,2),8574(a,1,2))]. 8637 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). [hyper(255,a,8115,a,b,8575,a),flip(a)]. 8638 K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). [para(6413(a,1),8589(a,1,1,2))]. 8639 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(8100(a,1),8599(a,2,1))]. 8641 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(5680,a,8605,a)]. 8642 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(8608(a,2),7559(a,2,1)),flip(a)]. 8643 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(8615(a,1),182(a,1,2))]. 8646 T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). [para(8635(a,1),5291(a,2,2,2))]. 8647 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(7900,a,8636,a),flip(a)]. 8652 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [hyper(255,a,6408,a,b,8647,a)]. 8653 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(255,a,6408,a,b,8652,a(flip)),flip(a)]. 8654 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(18(a,1),8653(a,1,2,2)),flip(a)]. 8655 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(255,a,7046,a(flip),b,7440,a)]. 8656 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(439(a,1),8655(a,1,2)),flip(a)]. 8657 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(5600(a,1),7600(a,1))]. 8659 K(x,y) * (T(z,K(x,y)) * R(K(y,u),w,v5)) = (z * K(x,y)) * R(K(y,u),w,v5). [para(7756(a,1),430(a,1,2)),flip(a)]. 8660 L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)). [hyper(255,a,7702,a(flip),b,7804,a)]. 8661 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ (x \ ((y * L(y \ z,u,w)) * x))). [para(1934(a,1),7806(a,1,2,2,2)),flip(a)]. 8662 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(4418(a,1),7807(a,2,2,2,2))]. 8664 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(255,a,6382,a(flip),b,7998,a(flip)),flip(a)]. 8665 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(255,a,7988,a(flip),b,8664,a)]. 8666 K(x,y * K(z,x)) != u | K(x,y) = u. [para(8664(a,1),7483(a,1))]. 8668 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(51(a,1),8665(a,1,2))]. 8669 K(x,y * x) != z | K(x,x * y) = z. [para(104(a,1),8666(a,1,2))]. 8670 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(1560(a,1),8666(a,1,2))]. 8674 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(7047(a,2),8669(a,1))]. 8675 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(255,a,7208,a(flip),b,8010,a(flip)),flip(a)]. 8676 K(R(x,K(y,z),u),z) = K(x,z). [hyper(255,a,8007,a(flip),b,8675,a)]. 8678 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(51(a,1),8676(a,1,1))]. 8679 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(255,a,7046,a(flip),b,8026,a(flip)),flip(a)]. 8680 K(L(x,K(y,z),u),y) = K(x,y). [hyper(255,a,8017,a(flip),b,8679,a)]. 8681 K(L(x,K(y,z),u),y) != w | K(x,y) = w. [para(8679(a,2),8069(a,1))]. 8683 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(241(a,1),8680(a,1,1))]. 8684 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(7759(a,2),8081(a,1))]. 8685 K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. [para(7761(a,1),8081(a,1))]. 8686 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(8115(a,1),8120(a,1))]. 8687 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(8169(a,2),8120(a,1,2))]. 8689 K(x,y / z) != u | T(K(x,z \ y),z) = u. [para(8255(a,1),8686(a,1))]. 8690 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(8430(a,2),8345(a,1))]. 8691 K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. [para(7783(a,1),8353(a,1,2))]. 8693 K(x,T(y,z * (u * K(w,x)))) = K(x,T(y,z * u)). [para(112(a,1),8422(a,1,2,2))]. 8694 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(7522(a,1),8657(a,1,1))]. 8695 K(x \ (y * z),z) != u | K((x / z) \ y,z) = u. [para(21(a,1),8684(a,1,1,1))]. 8697 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(7846(a,1),8684(a,1))]. 8698 K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. [para(6098(a,2),8694(a,1))]. 8699 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(7030(a,2),8697(a,1))]. 8700 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(422,a,7419,a)]. 8701 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [hyper(7305,a,8700,a)]. 8704 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(255,a,8252,a(flip),b,7437,a(flip))]. 8705 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(255,a,8608,a(flip),b,8704,a(flip))]. 8706 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(255,a,8307,a(flip),b,8704,a(flip)),flip(a)]. 8707 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(8704(a,2),7651(a,1,1))]. 8708 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(27,a,8705,a)]. 8709 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(255,a,8066,a,b,8705,a(flip)),flip(a)]. 8710 K(x,((x * y) / z) \ x) = K(x,z / y). [para(18(a,1),8705(a,1,2,2)),flip(a)]. 8711 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(8705(a,1),6373(a,1,1))]. 8712 K(x,(y * x) / z) = K(x,(x * y) / z). [hyper(255,a,8066,a,b,8706,a),flip(a)]. 8713 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(19(a,1),8706(a,1,2,1)),flip(a)]. 8714 K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u. [para(8706(a,1),6392(a,1))]. 8715 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [hyper(8689,a,8709,a)]. 8716 K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). [hyper(255,a,8305,a,b,8709,a(flip)),flip(a)]. 8718 x * K(x,(x * y) / z) = T(x,(y * x) / z). [para(8712(a,1),5252(a,2,2)),flip(a)]. 8719 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(8712(a,2),6392(a,1))]. 8720 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(8038,a,8713,a)]. 8722 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(20(a,1),8720(a,1,2,2))]. 8723 K(x,y / ((x \ z) * x)) = K(x,y / z). [hyper(255,a,8713,a(flip),b,8722,a(flip))]. 8724 K(x,y / (z * x)) = K(x,y / (x * z)). [para(18(a,1),8723(a,1,2,2,1))]. 8725 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(255,a,7395,a(flip),b,8724,a)]. 8726 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(123(a,2),8724(a,2,2)),flip(a)]. 8728 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(21(a,1),8725(a,1,2,2,1)),flip(a)]. 8729 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(4656(a,1),8725(a,1,2,2,1))]. 8730 K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. [para(8305(a,2),8719(a,1))]. 8731 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(255,a,5390,a(flip),b,8726,a(flip)),flip(a)]. 8732 T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)). [para(7465(a,1),1061(a,1,1,2))]. 8733 T(K(x,y) * (z * K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * z). [para(7465(a,1),8196(a,1,1))]. 8734 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(47(a,2),7547(a,2,2))]. 8735 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(7614(a,1),7568(a,1,1,2)),flip(a)]. 8736 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(8099(a,1),7570(a,1,1))]. 8737 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(255,a,7648,a(flip),b,7609,a(flip))]. 8738 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(8479(a,1),8737(a,1,1,2))]. 8740 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(47(a,2),7684(a,2,2))]. 8741 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(87,a,7691,a)]. 8743 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(20(a,1),7704(a,1,1,1,1,2))]. 8744 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(255,a,5055,a(flip),b,7706,a(flip))]. 8745 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(7754(a,1),8199(a,1,2))]. 8746 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(27,a,7762,a)]. 8747 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(18(a,1),7762(a,2,2,1,2))]. 8748 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(422,a,7770,a)]. 8749 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(7304,a,8748,a)]. 8750 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(255,a,7349,a(flip),b,7805,a(flip)),flip(a)]. 8751 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(7810(a,1),5564(a,1,2))]. 8752 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4906(a,1),7822(a,1,1))]. 8753 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(23,a,5263,a(flip),b,7829,a),flip(a)]. 8757 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(6189(a,1),8753(a,1,1,2))]. 8758 K(x,y) * K(z \ 1,x) = z * T(z \ K(x,y),x). [para(8753(a,1),6643(a,2,2)),flip(a)]. 8759 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). [para(8757(a,1),5992(a,1,1,1,2)),flip(a)]. 8760 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [hyper(255,a,6634,a(flip),b,7832,a)]. 8761 T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). [para(8760(a,1),5252(a,2,2))]. 8763 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(6672(a,1),8760(a,1,2,1)),flip(a)]. 8764 K(x,((y * K(z,x)) * u) \ w) = K(x,(y * u) \ w). [para(7231(a,1),8760(a,1,2,1)),flip(a)]. 8765 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7559(a,1),8760(a,1,2,1))]. 8766 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7572(a,1),8760(a,1,2,1)),flip(a)]. 8768 K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). [para(6475(a,1),8763(a,1,2,1,2))]. 8769 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(7586(a,1),8763(a,1,2,1,2))]. 8770 K(x,y \ T(x,z)) = K(x,y \ x). [hyper(255,a,7000,a(flip),b,8765,a(flip))]. 8771 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(29(a,2),8765(a,1,2)),flip(a)]. 8772 K(x,T(y,z) \ x) = K(x,T(y \ x,z)). [hyper(255,a,7577,a(flip),b,8770,a(flip))]. 8773 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(129(a,1),8770(a,1,2,2)),flip(a)]. 8774 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(255,a,7730,a(flip),b,8766,a(flip)),flip(a)]. 8775 K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). [hyper(255,a,7598,a(flip),b,8772,a)]. 8777 K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(255,a,6997,a(flip),b,8772,a(flip))]. 8779 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(5536(a,1),8774(a,1,2,2)),flip(a)]. 8781 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(8774(a,1),7539(a,2,1))]. 8782 K(x,y \ (z * K(x,u))) = K(x,y \ z). [para(8235(a,1),8774(a,1,2,2))]. 8783 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(8276(a,1),8774(a,1,2,2)),flip(a)]. 8784 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(6576(a,1),8782(a,1,2,2))]. 8786 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [para(7231(a,1),8782(a,1,2,2)),flip(a)]. 8787 K(x,y \ (z * L(K(u,x),w,v5))) = K(x,y \ z). [para(6475(a,1),8783(a,1,2,2,2))]. 8788 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [hyper(255,a,5252,a,b,8761,a)]. 8789 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(7053(a,1),8788(a,1,2,1)),flip(a)]. 8790 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [para(7559(a,1),8788(a,1,2,1))]. 8791 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(7572(a,1),8788(a,1,2,1)),flip(a)]. 8792 T(x,y \ K(x,z)) = T(x,y \ 1). [hyper(255,a,6854,a(flip),b,8790,a(flip))]. 8793 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(8792(a,1),6082(a,1,2,1))]. 8795 K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). [para(6686(a,1),8775(a,1,2,1))]. 8796 K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). [para(112(a,1),8768(a,1,2,1))]. 8797 K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). [para(112(a,1),8787(a,1,2,2))]. 8798 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(7851(a,1),7323(a,1,3,2))]. 8800 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(255,a,8791,a(flip),b,7912,a(flip)),flip(a)]. 8802 T(x,y \ T(x,z)) = T(x,y \ x). [para(5207(a,1),8800(a,1,2,2)),flip(a)]. 8803 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5846(a,1),8800(a,1,2,2))]. 8805 T(x,T(y,z) \ x) = T(x,T(y \ x,z)). [hyper(255,a,7679,a(flip),b,8802,a(flip))]. 8806 T(x,(T(x,y) / z) \ x) = T(x,z). [para(73(a,1),8802(a,1,2)),flip(a)]. 8808 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(7933(a,1),7279(a,1,2))]. 8809 T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). [hyper(255,a,5291,a,b,7940,a)]. 8810 T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). [para(18(a,1),8809(a,1,2,2,1)),flip(a)]. 8811 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). [para(1151(a,1),8809(a,1,2,2,1)),flip(a)]. 8812 T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). [hyper(255,a,7518,a(flip),b,8810,a(flip)),flip(a)]. 8813 T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). [hyper(255,a,6854,a(flip),b,8812,a(flip))]. 8814 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(18(a,1),7946(a,1,1,2)),flip(a)]. 8815 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(47(a,2),8054(a,1,2,1))]. 8817 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(6483(a,1),8123(a,1,1)),flip(a)]. 8818 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(6672(a,1),8124(a,1,1)),flip(a)]. 8819 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(255,a,8429,a(flip),b,8217,a)]. 8821 T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). [para(47(a,1),8238(a,1,1))]. 8822 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(5832,a,8239,a)]. 8823 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [hyper(255,a,5295,a(flip),b,8822,a(flip))]. 8825 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(7970(a,1),8248(a,1,1,1,2))]. 8828 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(8329(a,1),5252(a,2,2))]. 8830 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(255,a,5082,a,b,8331,a(flip)),flip(a)]. 8831 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(255,a,8112,a(flip),b,8354,a)]. 8834 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(255,a,8113,a(flip),b,8355,a)]. 8835 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(6100(a,1),8834(a,1,2))]. 8836 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4563(a,1),8371(a,1,2,2,2))]. 8837 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(y,K(u / (x * z),x)). [para(8281(a,1),8374(a,1,2,2)),flip(a)]. 8839 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [hyper(255,a,8616,a(flip),b,8402,a(flip))]. 8840 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(104(a,1),8419(a,1,2,2,1))]. 8841 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(x * z,u),w)). [para(5226(a,1),8420(a,1,2,1,1)),flip(a)]. 8842 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(5896(a,1),8458(a,2,2))]. 8843 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(8443(a,1),8464(a,1,1))]. 8844 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(8449(a,1),8464(a,1,1))]. 8845 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(8459(a,1),8464(a,1,1))]. 8847 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(255,a,8843,a(flip),b,8844,a(flip))]. 8850 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(255,a,8844,a(flip),b,8845,a(flip))]. 8851 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(255,a,8843,a(flip),b,8845,a(flip))]. 8852 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(255,a,8817,a(flip),b,8845,a(flip)),flip(a)]. 8856 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(241(a,1),8850(a,2,2,2))]. 8859 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(255,a,8134,a,b,8852,a)]. 8861 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(8859(a,2),8136(a,1))]. 8863 T(x,L((y * z) / y,u,w)) = T(x,L(T(z,y),u,w)). [para(767(a,2),8489(a,1,2))]. 8864 T(x,L(y * K(z,y),u,w)) = T(x,L(T(y,z),u,w)). [para(5431(a,2),8489(a,1,2))]. 8865 T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). [para(47(a,2),8490(a,2,2))]. 8868 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(8529(a,1),6620(a,1,1,1))]. 8869 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(255,a,8519,a(flip),b,8533,a)]. 8870 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(6886(a,1),8869(a,1,2,1)),flip(a)]. 8871 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(8548(a,1),5457(a,1,2))]. 8872 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(8548(a,2),8144(a,2,1))]. 8873 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(255,a,8540,a(flip),b,8573,a)]. 8881 K((x \ y) / z,x) = K(y / (x * z),x). [hyper(22,a,8398,a(flip),b,8607,a(flip))]. 8882 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(255,a,8251,a,b,8610,a),flip(a)]. 8883 K(T(x * y,y) / x,z) = K(y,z). [hyper(8681,a,8882,a),flip(a)]. 8885 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(19(a,1),8883(a,1,1,1,1))]. 8886 K(x \ T(y,x \ y),x) = K(x \ y,x). [hyper(5665,a,8885,a)]. 8887 K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K((T(x,y) / z) \ x,T(x,y) / z). [para(8806(a,1),8886(a,1,1,2))]. 8888 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(8641(a,1),3534(a,1,2)),flip(a)]. 8889 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(255,a,8018,a(flip),b,8683,a)]. 8892 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(7053(a,1),8889(a,1,1,1)),flip(a)]. 8893 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7572(a,1),8889(a,1,1,1)),flip(a)]. 8894 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(8242(a,1),8889(a,1,1,1,2))]. 8897 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(255,a,7727,a(flip),b,8893,a(flip)),flip(a)]. 8899 K(x \ T(y,z),y) = K(x \ y,y). [para(5263(a,2),8897(a,1,1,2))]. 8900 K(x \ (K(y,z) * u),z) = K(x \ u,z). [para(5608(a,1),8897(a,1,1,2)),flip(a)]. 8901 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(5409(a,1),8897(a,1,1,2)),flip(a)]. 8902 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(5536(a,1),8897(a,1,1,2)),flip(a)]. 8904 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(8242(a,1),8897(a,1,1,2,1))]. 8905 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(8235(a,1),8897(a,1,1,2))]. 8906 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(255,a,7188,a(flip),b,8899,a(flip))]. 8908 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(6027(a,1),8900(a,1,1,2))]. 8909 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(7053(a,1),8905(a,1,1,2)),flip(a)]. 8911 K(((x * y) \ x) \ z,T(z,K(y,u))) = K(L(y \ 1,y,x) \ z,z). [para(1287(a,1),8906(a,1,1,1)),flip(a)]. 8912 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(175(a,1),8908(a,1,1)),flip(a)]. 8914 K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). [para(7525(a,1),8693(a,1,2,2,2))]. 8915 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(255,a,8779,a(flip),b,8701,a)]. 8917 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5899,a,8708,a)]. 8918 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(255,a,8064,a,b,8917,a(flip)),flip(a)]. 8919 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7539(a,2),8734(a,1,1))]. 8921 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(8223(a,1),8736(a,1,1))]. 8922 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(18(a,1),8740(a,1,2,1,2)),flip(a)]. 8923 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(22,a,7400,a(flip),b,8744,a)]. 8925 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(8923(a,1),6670(a,1,1,2)),flip(a)]. 8926 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(255,a,8902,a(flip),b,8749,a)]. 8928 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(8926(a,1),8138(a,2,2))]. 8929 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(21(a,1),8750(a,1,2,1,2)),flip(a)]. 8930 K(x,((1 / y) * y) \ (x \ z)) = K(x,L(x,y,y \ 1) \ z). [para(3043(a,1),8750(a,1,2,1)),flip(a)]. 8931 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(8750(a,1),6670(a,1,1,2))]. 8932 K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). [para(263(a,1),8764(a,1,2,1,1))]. 8933 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(255,a,8409,a(flip),b,8773,a(flip))]. 8934 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(255,a,7539,a,b,8781,a)]. 8935 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(255,a,7943,a(flip),b,8784,a(flip))]. 8936 K(x,y \ ((z * K(x,u)) * w)) = K(x,y \ (z * w)). [para(6672(a,1),8786(a,1,2,2,1)),flip(a)]. 8937 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(7525(a,1),8796(a,1,2,1,2))]. 8938 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(7525(a,1),8797(a,1,2,2,2))]. 8939 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(8803(a,1),5195(a,1,1,1))]. 8940 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1939(a,1),8814(a,1,2)),flip(a)]. 8941 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1965(a,1),8814(a,1,2)),flip(a)]. 8942 (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). [para(5958(a,1),8818(a,1,1))]. 8943 T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). [hyper(172,a,8821,a(flip),b,4145,a(flip))]. 8945 K(L(K(x,y),z,u),w) = K(w,L(K(x,y),z,u)). [hyper(22,a,5252,a(flip),b,8823,a)]. 8946 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(255,a,8859,a(flip),b,8945,a(flip))]. 8947 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(255,a,8847,a,b,8946,a)]. 8950 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(7009(a,1),8947(a,1,2)),flip(a)]. 8951 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(5323,a,8830,a)]. 8952 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(6008(a,1),8951(a,1,2,1)),flip(a)]. 8953 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(255,a,8831,a(flip),b,8835,a)]. 8955 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(6673(a,1),8953(a,1,2))]. 8956 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(8955(a,1),8819(a,1,2))]. 8958 T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). [para(4524(a,1),8865(a,1,2,1)),flip(a)]. 8962 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(255,a,7497,a,b,8870,a(flip)),flip(a)]. 8964 R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). [para(8901(a,1),5996(a,1,1,1,2))]. 8965 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(5175(a,1),8904(a,1,1,2)),flip(a)]. 8966 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(424(a,1),8909(a,2,1))]. 8967 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(19(a,1),8919(a,1,2)),flip(a)]. 8968 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(5505,a,8922,a)]. 8969 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(7354,a,8929,a)]. 8970 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(5263(a,2),8934(a,1,2,1,2))]. 8971 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(7601(a,1),8934(a,1,2,1,2))]. 8972 K(x,y \ (((z / x) * u) * w)) = K(x,y \ (((x \ z) * u) * w)). [para(6957(a,1),8936(a,1,2,2,1))]. 8973 K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). [para(424(a,1),8938(a,1,2))]. 8975 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(255,a,8851,a,b,8950,a(flip)),flip(a)]. 8976 K((x \ y) \ z,T(z,u)) = K(y \ (z * x),T(z,u)). [hyper(255,a,7695,a,b,8965,a(flip)),flip(a)]. 8977 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(255,a,332,a(flip),b,8967,a)]. 8978 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(255,a,7539,a(flip),b,8977,a)]. 8979 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [para(17(a,1),8969(a,2,2,1))]. 8980 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(18(a,1),8969(a,1,2,1,2)),flip(a)]. 8981 K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). [para(21(a,1),8979(a,1,2,1)),flip(a)]. 8982 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (y / (x \ 1))) \ u). [para(8981(a,1),6989(a,1,1))]. 8983 K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). [hyper(255,a,8601,a(flip),b,8976,a)]. 8984 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [para(18(a,1),8983(a,1,1,1)),flip(a)]. 8985 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(255,a,5735,a(flip),b,8984,a(flip)),flip(a)]. 8986 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(8070,a,8985,a)]. 8988 L(T(K(x,T(y,z)),u * (K(y,x) * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [hyper(81,a,7629,a(flip),b,8237,a),flip(a)]. 8989 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). [para(1425(a,1),7633(a,1,2)),flip(a)]. 8990 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(255,a,5388,a(flip),b,7808,a)]. 8992 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(7556(a,1),7841(a,1,2))]. 8993 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(255,a,5726,a(flip),b,8992,a(flip))]. 8994 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [para(8993(a,1),167(a,1,1,2))]. 8995 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(6975(a,1),8994(a,1,1))]. 8996 K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u. [para(8770(a,1),7903(a,1))]. 8998 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(255,a,8269,a(flip),b,8330,a)]. 8999 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(5354(a,1),8998(a,1,2,2))]. 9000 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(80,a,8808,a(flip),b,5545,a),flip(a)]. 9001 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). [para(8808(a,1),33(a,2,2,2)),flip(a)]. 9008 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(80,a,8871,a(flip),b,5545,a),flip(a)]. 9009 K(x,y) * K(y * R(x,z,u),x) = x \ R(x,y,R(x,z,u)). [hyper(80,a,8871,a(flip),b,5220,a),flip(a)]. 9010 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(8871(a,1),5915(a,1,1)),flip(a)]. 9011 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(255,a,7424,a(flip),b,8968,a(flip)),flip(a)]. 9012 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(422,a,7420,a)]. 9013 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(7420(a,1),6693(a,1,1))]. 9014 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(255,a,7046,a(flip),b,9012,a(flip)),flip(a)]. 9015 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(255,a,7267,a(flip),b,7441,a(flip)),flip(a)]. 9017 K(x,K(y \ x,y) * z) = K(x,z). [para(18(a,1),9015(a,1,2)),flip(a)]. 9018 K(x,y * K(z \ x,z)) = K(x,y). [hyper(255,a,7680,a(flip),b,9017,a(flip)),flip(a)]. 9019 K(x * y,K(y,x) * z) = K(x * y,z). [para(18(a,1),9017(a,1,2,1,1))]. 9020 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5877(a,1),9017(a,1,2)),flip(a)]. 9022 K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)) = K(x,y \ z). [para(6967(a,1),9018(a,1,2)),flip(a)]. 9023 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(9019(a,1),5216(a,1,1,2))]. 9024 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(255,a,7164,a(flip),b,7515,a(flip)),flip(a)]. 9026 K(K(x \ y,x) * z,y) = K(z,y). [hyper(255,a,615,a(flip),b,9024,a(flip))]. 9028 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(9026(a,1),5252(a,2,2)),flip(a)]. 9029 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(255,a,8815,a(flip),b,7665,a)]. 9031 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(255,a,7208,a(flip),b,7687,a(flip))]. 9032 K(R(x,y,z),T(u,x * w)) = K(R(x,y,z),T(u,w)). [para(18(a,1),9031(a,1,2,2)),flip(a)]. 9033 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [para(9031(a,1),5382(a,1,1))]. 9034 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(454,a,7717,a)]. 9035 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(5175(a,1),7717(a,1,1)),flip(a)]. 9036 (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(7717(a,1),5543(a,1,1,2))]. 9037 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(255,a,7208,a(flip),b,9034,a(flip)),flip(a)]. 9038 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(255,a,6374,a(flip),b,9034,a(flip)),flip(a)]. 9039 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(9037(a,1),5263(a,2,1)),flip(a)]. 9040 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. [para(9037(a,1),5699(a,1,1,1)),flip(a)]. 9041 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(454,a,7718,a)]. 9042 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(255,a,7208,a(flip),b,9041,a(flip)),flip(a)]. 9043 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(255,a,8250,a(flip),b,9042,a(flip))]. 9044 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(255,a,8242,a(flip),b,9043,a(flip))]. 9046 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(9044(a,1),5292(a,2,1,1))]. 9047 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(255,a,5292,a,b,9046,a)]. 9048 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(422,a,7771,a)]. 9049 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(255,a,7046,a(flip),b,9048,a(flip)),flip(a)]. 9050 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(255,a,7009,a(flip),b,9048,a(flip)),flip(a)]. 9051 K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). [para(4534(a,1),9049(a,1,1))]. 9057 K(x,K(y,T(z,x * u))) = K(x,K(y,T(z,u))). [hyper(22,a,7654,a,b,7934,a),flip(a)]. 9058 K(x,K(y,T(z,x \ u))) = K(x,K(y,T(z,u))). [para(19(a,1),9057(a,1,2,2,2)),flip(a)]. 9059 K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). [hyper(255,a,8075,a(flip),b,8029,a(flip))]. 9060 K(x * (R(x,y,x) \ z),x) = K(z,x). [hyper(255,a,8033,a(flip),b,9059,a)]. 9061 K(R(x,y,x) * z,x) = K(x * z,x). [para(18(a,1),9060(a,1,1,2)),flip(a)]. 9062 K(x * R(y,z,y),y) = K(y * x,y). [hyper(255,a,8059,a(flip),b,9061,a(flip)),flip(a)]. 9063 T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). [para(9062(a,1),5291(a,2,2,2))]. 9064 T(x,y * R(x,z,x)) = T(x,x * y). [hyper(255,a,5291,a,b,9063,a)]. 9065 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(255,a,5252,a(flip),b,9064,a)]. 9066 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(5323,a,9065,a)]. 9067 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(255,a,8053,a,b,9066,a(flip)),flip(a)]. 9068 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(255,a,7432,a,b,9067,a(flip)),flip(a)]. 9069 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(6209(a,1),8117(a,1,1)),flip(a)]. 9070 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(8100(a,1),8118(a,1,1))]. 9071 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(6209(a,1),8157(a,1,2)),flip(a)]. 9072 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(255,a,9069,a,b,9071,a(flip)),flip(a)]. 9073 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(8134(a,1),9072(a,1,1))]. 9074 R(K(x,K(y,z)),y,u) = K(x,K(y,z)). [para(4395(a,1),9073(a,2,2))]. 9075 x * R(K(x,K(y,z)),u,w) = T(x,R(K(y,z),u,w)). [para(9073(a,2),5252(a,2,2)),flip(a)]. 9078 K(x,T(y,T(y * z,u))) = K(x,T(y,T(z,u))). [para(8613(a,1),8226(a,1,2)),flip(a)]. 9079 K(x,T(y,T(y * x,z))) = K(x,y). [hyper(255,a,5642,a(flip),b,9078,a)]. 9080 K(x \ y,T(x,T(y,z))) = K(x \ y,x). [para(19(a,1),9079(a,1,2,2,1))]. 9081 K((1 / (T(x,y) \ z)) \ x,T(1 / (T(x,y) \ z),T(T(x,y),z))) = K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)). [para(7868(a,2),9080(a,1,2))]. 9082 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(255,a,8262,a(flip),b,8272,a)]. 9084 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(19(a,1),9082(a,1,2)),flip(a)]. 9085 R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). [hyper(255,a,6385,a,b,9084,a(flip)),flip(a)]. 9088 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(5608(a,1),9085(a,1,2)),flip(a)]. 9090 L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). [hyper(255,a,8261,a(flip),b,8273,a)]. 9092 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(255,a,7010,a(flip),b,9090,a(flip)),flip(a)]. 9093 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(127(a,1),9090(a,1,2))]. 9096 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(255,a,7046,a(flip),b,9093,a(flip)),flip(a)]. 9097 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [hyper(255,a,7032,a(flip),b,9093,a(flip))]. 9099 L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). [para(5220(a,1),9093(a,1,2))]. 9101 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(7559(a,1),9092(a,1,2,2))]. 9103 L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). [hyper(255,a,8260,a(flip),b,8274,a)]. 9105 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(127(a,1),9103(a,1,2))]. 9106 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(169(a,1),9103(a,1,2)),flip(a)]. 9107 K(L(x,y,z),x * y) = K(x,x * y). [hyper(8037,a,9105,a),flip(a)]. 9108 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(255,a,6988,a(flip),b,9105,a(flip))]. 9109 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(5184(a,2),9105(a,1,2)),flip(a)]. 9110 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(8242(a,1),9105(a,1,1))]. 9111 K(L(x,x \ 1,y),z) = K(x,z). [hyper(255,a,322,a(flip),b,9106,a)]. 9112 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(255,a,8260,a(flip),b,9111,a(flip))]. 9113 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(255,a,8242,a(flip),b,9112,a(flip))]. 9115 L(K(x,y),K(z,x),u) = K(x,y). [hyper(255,a,9113,a(flip),b,9109,a(flip))]. 9117 L(R(K(x,y),z,u),K(w,x),v5) = R(K(x,y),z,u). [para(9115(a,1),49(a,1,1)),flip(a)]. 9118 L(L(K(x,y),z,u),K(w,x),v5) = L(K(x,y),z,u). [para(9115(a,1),50(a,1,1)),flip(a)]. 9119 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(9115(a,1),112(a,1,2))]. 9120 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(9115(a,1),428(a,1,2,1))]. 9122 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(9117(a,1),6695(a,1,2)),flip(a)]. 9125 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(9118(a,1),6695(a,1,2)),flip(a)]. 9126 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(6674,a,9119,a)]. 9127 R(x,K(y,z),K(z,u)) = x. [hyper(454,a,9119,a)]. 9128 (x * K(y,z)) * K(u,y) = x * (K(u,y) * K(y,z)). [hyper(255,a,7236,a,b,9119,a(flip)),flip(a)]. 9129 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(255,a,7065,a(flip),b,9119,a(flip))]. 9130 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(2075(a,2),9119(a,2,2))]. 9131 R(x,K(y,z),K(u,y)) = x. [hyper(255,a,7312,a,b,9127,a(flip)),flip(a)]. 9132 R(x,T(K(y,z),u),K(z,w)) = x. [para(1653(a,1),9127(a,1,2))]. 9133 (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). [para(9127(a,1),2733(a,1,1,1))]. 9134 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(6475(a,1),9127(a,1,2))]. 9135 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(9127(a,1),6649(a,1,1))]. 9137 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [para(9131(a,1),122(a,1,1)),flip(a)]. 9138 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u / K(x,y))). [para(9131(a,1),1389(a,1,2,2)),flip(a)]. 9139 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [para(9131(a,1),7235(a,1,1))]. 9140 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(5974(a,1),9132(a,1,3))]. 9141 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(9134(a,1),122(a,1,1)),flip(a)]. 9142 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(9134(a,1),489(a,1,1))]. 9143 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(9140(a,1),847(a,1,1)),flip(a)]. 9144 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(255,a,4502,a(flip),b,9135,a(flip))]. 9145 (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),w). [para(45(a,2),9135(a,1,2,2))]. 9146 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(9135(a,2),2081(a,1))]. 9148 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(255,a,5956,a,b,9144,a(flip)),flip(a)]. 9149 a(x,y / x,x) \ K(y,x) = K(x \ y,x). [para(9144(a,1),6670(a,1,1))]. 9150 a(x,y / x,x) * K(x,y) = K(x,x \ y). [para(9144(a,1),6689(a,1,1))]. 9151 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(18(a,1),9148(a,1,2,2)),flip(a)]. 9152 x \ R(x,T(y,x),x) = a(x,y,x). [para(167(a,1),9151(a,1,2)),flip(a)]. 9153 x \ R(x,y,x) = a(x,y,x). [para(4717(a,1),9152(a,1,2))]. 9154 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(5957,a,9153,a)]. 9155 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(5945,a,9153,a)]. 9156 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(255,a,7811,a,b,9153,a(flip)),flip(a)]. 9157 K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x). [hyper(255,a,7301,a,b,9153,a(flip)),flip(a)]. 9158 K(x,y) * K(y,y \ x) = a(y,y \ x,y). [hyper(255,a,5956,a(flip),b,9153,a(flip)),flip(a)]. 9159 x * a(x,y,x) = R(x,y,x). [para(9153(a,1),19(a,1,2))]. 9161 a(x,y,x) * x = R(x,y,x). [para(9153(a,1),4037(a,1,1))]. 9162 a(x,x \ (y \ x),x) = x \ R(x,y \ 1,x). [para(6310(a,1),9153(a,1,2)),flip(a)]. 9163 a(x,y,x) \ K(x * y,x) = K(y,x). [para(9153(a,1),6681(a,1,1))]. 9164 T(x * y,x) / x = y * a(x,y,x). [para(9153(a,1),6975(a,1,2)),flip(a)]. 9165 T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). [para(9153(a,1),7599(a,1,2)),flip(a)]. 9166 x \ R(x,y,x) != z | a(x,y,x) = z. [para(9159(a,1),222(a,1,2)),flip(b)]. 9167 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(5622,a,9154,a)]. 9168 K(x,x * y) * a(x,y,x) = K(x,y). [para(9154(a,1),5628(a,1,2))]. 9169 a(x,y,x) * (y * x) = T(x * y,x). [para(9154(a,1),7125(a,1,1))]. 9170 (x * y) * a(y,x,y) = T(y * x,y). [para(9154(a,1),7127(a,1,2))]. 9171 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(6674,a,9155,a)]. 9173 a(x,y \ 1,x) \ K(y \ x,x) = K(y \ 1,x). [para(5734(a,1),9163(a,1,2))]. 9174 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(255,a,1966,a,b,9164,a(flip)),flip(a)]. 9176 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(9164(a,1),129(a,1,1))]. 9177 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(9164(a,2),178(a,1,2,2))]. 9178 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(9164(a,2),423(a,1,2,2))]. 9179 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(9164(a,2),752(a,1,2,2,2))]. 9180 K(x,y) * K(x * y,x) != z | a(x,y,x) = z. [para(5726(a,2),9166(a,1))]. 9182 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(19(a,1),9168(a,1,1,2))]. 9183 L(a(x,y,x),K(x,x * y),z) = (z * K(x,x * y)) \ (z * K(x,y)). [para(9168(a,1),33(a,2,2,2))]. 9184 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(9170(a,1),867(a,1,1,2))]. 9185 a(x,y,x) * K(y,x) = K(y * x,x). [hyper(255,a,5894,a,b,9171,a)]. 9186 (R(a(x,y,x),K(y,x),z * u) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). [para(9171(a,1),1388(a,1,2,1))]. 9189 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(9156(a,1),4037(a,1,1))]. 9190 a(x,x \ y,x) = T(x,y) \ ((x \ y) \ y). [para(4560(a,1),9156(a,1,2)),flip(a)]. 9193 a(x,x \ (y \ x),x) = a(x,y \ 1,x). [hyper(255,a,9153,a(flip),b,9162,a)]. 9194 T(x,y \ x) \ ((x \ (y \ x)) \ (y \ x)) = a(x,y \ 1,x). [hyper(255,a,9190,a(flip),b,9193,a(flip)),flip(a)]. 9196 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(2075(a,2),9126(a,1,1,2))]. 9197 T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). [hyper(172,a,9130,a,b,565,a)]. 9199 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(6718(a,1),9130(a,1,1)),flip(a)]. 9200 L(K(x,y),K(y,z),u) = K(x,y). [hyper(422,a,9137,a)]. 9201 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(3217(a,1),9137(a,1,1))]. 9202 (x * K(y,z)) * (K(z,y) * K(u,z)) = x * K(u,z). [para(6672(a,1),9137(a,1,1)),flip(a)]. 9204 L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). [para(8242(a,1),9200(a,1,2))]. 9205 (x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))). [para(9204(a,1),112(a,1,2))]. 9208 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(23,a,9126,a,b,9196,a(flip)),flip(a)]. 9209 ((x * K(y,z)) / (x * K(u,z))) \ 1 = (K(z,u) * K(y,z)) \ K(K(z,u) * K(y,z),x * K(u,z)). [para(9202(a,1),5360(a,1,1,1))]. 9210 x / (K(y,z) * K(u,y)) = x * (K(z,y) * K(y,u)). [hyper(308,a,9208,a),flip(a)]. 9211 (x * (K(y,z) * K(u,y))) \ x = K(z,y) * K(y,u). [hyper(87,a,9208,a)]. 9212 (x * (K(y,z) * K(u,y))) * w != x | K(z,y) * K(y,u) = w. [para(9208(a,1),24(a,1)),flip(a)]. 9213 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(9208(a,1),304(a,1,1)),flip(b)]. 9214 x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)). [para(2075(a,1),9210(a,1,2))]. 9215 (x * (K(y,z) * K(u,y))) \ x = K(y,u) * K(z,y). [hyper(255,a,2075,a,b,9211,a)]. 9216 x / T((1 * (K(y,z) * K(u,y))) * x,K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. [para(9215(a,1),4423(a,1,2,2))]. 9217 (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). [para(5944(a,1),9129(a,1,2)),flip(a)]. 9218 R(x,y,x) \ x = x \ L(x,y,x). [hyper(7936,a,9217,a)]. 9219 x / R(x,y,x) = x \ L(x,y,x). [hyper(79,a,1952,a(flip),b,9217,a(flip)),flip(a)]. 9220 x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. [hyper(80,a,9218,a(flip),b,1308,a)]. 9221 (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9219(a,1),2886(a,1,1,2,1))]. 9222 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). [para(9220(a,1),5143(a,2,2))]. 9223 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(255,a,8904,a(flip),b,8301,a(flip)),flip(a)]. 9224 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(8593,a,9223,a),flip(a)]. 9226 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(9224(a,1),6670(a,1,1,2)),flip(a)]. 9227 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(255,a,6670,a(flip),b,9226,a)]. 9228 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(8486(a,1),9227(a,1,2,1))]. 9229 K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). [hyper(255,a,8066,a(flip),b,9228,a)]. 9230 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(255,a,8894,a(flip),b,8317,a(flip)),flip(a)]. 9231 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(8560,a,9230,a),flip(a)]. 9233 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(7231(a,1),9231(a,1,1,2)),flip(a)]. 9234 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(7525(a,1),9233(a,1,1,2,1))]. 9235 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [para(7527(a,1),9233(a,1,1,2,1)),flip(a)]. 9236 K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). [para(457(a,1),9234(a,1,1))]. 9237 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(255,a,8769,a(flip),b,8327,a(flip)),flip(a)]. 9239 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(255,a,8263,a(flip),b,9237,a(flip))]. 9240 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(1562(a,1),9239(a,1,2,2))]. 9241 K(x,y / (z * K(x,u))) = K(x,y / z). [para(6672(a,1),9239(a,1,2,2)),flip(a)]. 9242 K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). [para(7231(a,1),9241(a,1,2,2)),flip(a)]. 9243 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(104(a,1),9242(a,1,2,2,1))]. 9244 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(263(a,1),9242(a,1,2,2,1))]. 9245 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(7525(a,1),9242(a,1,2,2,1))]. 9246 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(7527(a,1),9242(a,1,2,2,1)),flip(a)]. 9247 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,(((y * K(z,x)) * u) * w) / (u * w)). [para(457(a,1),9245(a,1,2))]. 9248 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(5217(a,1),8328(a,1,1,1,2))]. 9249 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(8107,a,8352,a),flip(a)]. 9250 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(18(a,1),9249(a,1,2,2)),flip(a)]. 9252 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(8242(a,1),8404(a,1,1)),flip(a)]. 9253 (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). [para(9252(a,1),5898(a,1,1))]. 9255 K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)). [hyper(255,a,8138,a,b,8410,a)]. 9256 (K(x,y) * T(z,u)) / T(K(x,y),z) = (z * (K(x,y) * K(z,u))) * K(y,x). [hyper(255,a,8519,a,b,8415,a),flip(a)]. 9257 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(8164,a,8500,a),flip(a)]. 9258 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(6562,a,9257,a),flip(a)]. 9260 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(9257(a,2),6670(a,1,1))]. 9261 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(8141(a,1),9258(a,1,1)),flip(a)]. 9262 T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). [para(6672(a,1),9260(a,1,1,1))]. 9263 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [para(9262(a,1),19(a,1,2)),flip(a)]. 9264 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(6562,a,9263,a),flip(a)]. 9267 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(8530,a,8532,a),flip(a)]. 9268 K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). [hyper(255,a,8595,a(flip),b,8590,a)]. 9269 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(255,a,9031,a(flip),b,8594,a)]. 9270 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(123(a,1),9269(a,1,1)),flip(a)]. 9271 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(8611(a,2),7895(a,1))]. 9278 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(8135(a,1),8639(a,2,2))]. 9279 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(5037(a,2),8643(a,1,2))]. 9280 T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). [hyper(255,a,5291,a,b,8646,a)]. 9281 T(x,(y \ 1) \ (x \ z)) = x * K(x,(y \ x) \ z). [hyper(8086,a,9280,a),flip(a)]. 9282 K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). [hyper(5323,a,9281,a)]. 9283 K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). [para(18(a,1),9282(a,1,2,2)),flip(a)]. 9284 K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). [hyper(255,a,7701,a,b,9283,a(flip)),flip(a)]. 9286 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). [para(6591(a,2),8656(a,2,2,2)),flip(a)]. 9287 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(18(a,1),8743(a,1,1,1,1)),flip(a)]. 9289 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(4524(a,1),8828(a,1,2,1))]. 9292 L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(8888(a,1),439(a,1,1,1))]. 9293 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(255,a,6670,a(flip),b,8925,a)]. 9294 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(19(a,1),9293(a,1,1,1)),flip(a)]. 9295 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(9294(a,1),5291(a,2,2,2)),flip(a)]. 9296 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(255,a,8138,a(flip),b,8928,a)]. 9297 K(x,T(y \ T(T(x,z),u),w)) = K(T(x,w),y \ T(x,u)). [hyper(255,a,7542,a,b,8971,a)]. 9298 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [hyper(255,a,8970,a(flip),b,8971,a)]. 9300 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(9023(a,1),6713(a,1,2)),flip(a)]. 9301 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(6621,a,9028,a),flip(a)]. 9302 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(5375(a,1),9301(a,2,1))]. 9303 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5383,a,9033,a),flip(a)]. 9304 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1951(a,2),9035(a,1,2))]. 9305 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(255,a,8061,a(flip),b,9038,a)]. 9306 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(255,a,47,a,b,9039,a)]. 9310 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(255,a,8440,a(flip),b,9070,a)]. 9311 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(9070(a,2),8173(a,1,1))]. 9312 R(K(x,K(y,z)),u,w) = K(x,K(z,R(y,u,w))). [para(8439(a,1),9310(a,1,1))]. 9313 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(8440(a,1),9310(a,1,1))]. 9314 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(8444(a,1),9310(a,1,1))]. 9315 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(255,a,9073,a(flip),b,9312,a(flip)),flip(a)]. 9316 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [hyper(255,a,9074,a(flip),b,9313,a(flip))]. 9317 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(255,a,9073,a(flip),b,9313,a(flip)),flip(a)]. 9318 x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). [para(9313(a,2),5252(a,2,2)),flip(a)]. 9319 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(6454(a,1),9315(a,1,2)),flip(a)]. 9320 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [hyper(255,a,9075,a(flip),b,9318,a(flip)),flip(a)]. 9321 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(255,a,9101,a(flip),b,9099,a)]. 9323 L(K(x,L(y,x,z)),T(y,u) * w,v5) = K(L(x,y,z),L(y,w,v5)). [para(9096(a,1),9321(a,1,1))]. 9325 L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). [hyper(255,a,8260,a(flip),b,9110,a)]. 9327 K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). [para(19(a,1),9325(a,1,2)),flip(a)]. 9328 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(9327(a,2),323(a,1)),flip(b)]. 9329 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(9112(a,2),9328(a,1))]. 9330 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(43(a,1),9329(a,1,2))]. 9334 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(47(a,2),9329(a,1,2))]. 9335 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(129(a,1),9329(a,1,2))]. 9337 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(773(a,1),9329(a,1,1))]. 9339 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7542(a,1),9329(a,1))]. 9340 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(129(a,1),9339(a,1,2,1))]. 9342 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(7849(a,1),9339(a,1))]. 9343 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(8253(a,2),9339(a,1))]. 9344 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(8254(a,1),9339(a,1))]. 9348 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(7592(a,1),9342(a,1))]. 9349 K(x \ (x * y),z) != u | K(y,z) = u. [para(7584(a,1),9343(a,1))]. 9352 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(5889(a,1),9349(a,1))]. 9354 K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. [para(138(a,1),9344(a,1,2))]. 9357 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(8272(a,2),9334(a,1))]. 9359 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(126(a,1),9357(a,1,2,1))]. 9360 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(255,a,7027,a(flip),b,9199,a)]. 9361 (x / y) * a(y,z,y) = x / L(y,z,y). [para(9154(a,1),9360(a,1,2))]. 9362 L(x,y,x) \ x = a(x,y,x). [hyper(22,a,7133,a,b,9361,a),flip(a)]. 9363 (x * y) / L(y,z,y) = x * a(y,z,y). [para(20(a,1),9361(a,1,1)),flip(a)]. 9364 L(x,y,x) \ x = x \ R(x,y,x). [hyper(255,a,9153,a,b,9362,a)]. 9365 L(x,y,x) \ 1 = x \ a(x,y,x). [hyper(80,a,9362,a(flip),b,1424,a),flip(a)]. 9366 a(x,y,x) \ x = L(x,y,x). [para(9362(a,1),6466(a,1,1))]. 9367 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(255,a,7262,a,b,9364,a(flip)),flip(a)]. 9368 K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(9365(a,1),7207(a,1,1,2))]. 9369 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(255,a,1836,a(flip),b,9363,a(flip)),flip(a)]. 9370 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [para(9363(a,1),73(a,1,1))]. 9371 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(255,a,7739,a(flip),b,9369,a(flip)),flip(a)]. 9372 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(20(a,1),9369(a,1,1)),flip(a)]. 9373 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(730(a,1),9370(a,1,2))]. 9374 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(255,a,8751,a,b,9371,a(flip)),flip(a)]. 9375 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(255,a,1423,a,b,9371,a(flip)),flip(a)]. 9376 K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z). [para(9371(a,1),5272(a,1,2))]. 9377 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(9375(a,1),19(a,1,2))]. 9378 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(21(a,1),9377(a,1,2)),flip(a)]. 9379 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(22,a,1421,a,b,9378,a),flip(a)]. 9380 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(80,a,9379,a(flip),b,7741,a(flip))]. 9381 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(9374(a,2),24(a,1))]. 9382 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(9374(a,1),5226(a,1,2))]. 9383 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(9248(a,1),21(a,1,1))]. 9384 K(x,K(y,z \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x). [para(9255(a,1),6784(a,1,1))]. 9385 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(5406,a,9295,a),flip(a)]. 9386 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(255,a,7518,a,b,9385,a(flip)),flip(a)]. 9387 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(80,a,9306,a(flip),b,5550,a),flip(a)]. 9388 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(9306(a,1),7455(a,1,1,2)),flip(a)]. 9389 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(9383(a,1),5605(a,1,2))]. 9392 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(9235(a,1),9389(a,1,2,1,2,2)),flip(a)]. 9393 L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x). [para(8188(a,1),7529(a,1,1)),flip(a)]. 9394 L(x,T(y,K(x,z)),x) = L(x,y,x). [hyper(255,a,5707,a(flip),b,9393,a)]. 9396 L(x,T(y,T(x,z)),x) = L(x,y,x). [hyper(255,a,7865,a(flip),b,9394,a(flip)),flip(a)]. 9398 L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). [para(129(a,1),9396(a,1,2)),flip(a)]. 9399 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(7539(a,2),7543(a,1,1))]. 9401 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). [para(6102(a,1),7734(a,1,2,1))]. 9402 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(255,a,493,a(flip),b,7889,a(flip))]. 9403 K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). [para(9402(a,2),6536(a,1,2))]. 9404 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(255,a,7542,a(flip),b,7926,a)]. 9405 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(255,a,5253,a(flip),b,7968,a)]. 9406 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(7525(a,1),9405(a,1,2))]. 9407 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(6475(a,1),9406(a,1,2,1))]. 9409 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(8013(a,1),7993(a,2,2))]. 9410 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(255,a,5946,a(flip),b,9409,a)]. 9412 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(9166,a,9410,a)]. 9413 a(x,y * K(x,z),x) != u | a(x,y,x) = u. [para(9412(a,2),9166(a,1))]. 9414 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [hyper(255,a,4983,a(flip),b,8078,a)]. 9415 L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). [para(7544(a,1),8299(a,1,1))]. 9416 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7559(a,1),8304(a,1,1,2)),flip(a)]. 9417 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(9330,a,8597,a),flip(a)]. 9419 K(x,K(y,z)) * (K(z,x) * u) != w | K(z,T(x,y)) * u = w. [para(8134(a,1),8698(a,1,1))]. 9421 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(574(a,1),8771(a,1,2))]. 9422 K(x,a(K(x,y),z,u)) = 1. [hyper(255,a,5981,a(flip),b,9421,a(flip))]. 9424 T(x,a(K(x,y),z,u)) = x. [hyper(42,a,9422,a)]. 9425 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(40,a,9424,a)]. 9426 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(9424(a,1),43(a,1,1)),flip(a)]. 9427 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(9424(a,1),127(a,1,2))]. 9428 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(9424(a,1),7525(a,1,2,1)),flip(a)]. 9429 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(9425(a,1),7525(a,1,2,1)),flip(a)]. 9431 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(255,a,8975,a(flip),b,8856,a(flip)),flip(a)]. 9432 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(8912(a,1),8100(a,1,1)),flip(a)]. 9433 K(x,L(x,y,y \ 1) \ z) = K(x,x \ z). [para(133(a,1),8930(a,1,2)),flip(a)]. 9435 K((x \ 1) \ y,((x \ 1) \ y) \ z) = K((x \ 1) \ y,(x * y) \ z). [para(3064(a,1),9433(a,1,2,1)),flip(a)]. 9436 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(255,a,9135,a,b,9000,a(flip)),flip(a)]. 9437 K(x,y) * (y \ R(y,x,L(y,z,u))) = K(x * L(y,z,u),y). [para(9000(a,1),5626(a,1,2))]. 9438 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(255,a,9135,a,b,9008,a(flip)),flip(a)]. 9439 x \ R(x,y,R(x,z,u)) != w | K(y * R(x,z,u),x) * K(x,y) = w. [para(9009(a,1),2076(a,1))]. 9441 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(424(a,1),9108(a,2,2))]. 9442 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(9339,a,9270,a)]. 9443 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(6587,a,9399,a)]. 9444 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(255,a,8716,a(flip),b,9443,a)]. 9445 K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. [para(9443(a,2),8730(a,1))]. 9446 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(18(a,1),9444(a,1,2,1,1)),flip(a)]. 9447 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(4524(a,1),9446(a,1,2,1)),flip(a)]. 9448 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(4597(a,2),9446(a,1,2,1)),flip(a)]. 9449 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(255,a,9037,a(flip),b,9404,a(flip)),flip(a)]. 9451 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(21(a,1),9449(a,1,2,2)),flip(a)]. 9452 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(255,a,8558,a(flip),b,9451,a(flip)),flip(a)]. 9454 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(18(a,1),9452(a,1,2,2)),flip(a)]. 9455 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(149(a,1),9452(a,1,2,2)),flip(a)]. 9456 K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). [hyper(9342,a,9454,a),flip(a)]. 9457 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(255,a,8115,a,b,9454,a)]. 9459 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(255,a,8840,a,b,9455,a(flip)),flip(a)]. 9460 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(129(a,1),9459(a,1,2)),flip(a)]. 9461 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8356,a,9457,a)]. 9462 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(9457(a,2),8353(a,1))]. 9463 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(19(a,1),9461(a,1,2,2)),flip(a)]. 9464 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(122(a,1),9461(a,1,2,2))]. 9465 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(8504,a,9463,a)]. 9466 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(73(a,1),9465(a,1,2,2)),flip(a)]. 9467 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(8502,a,9466,a),flip(a)]. 9468 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(8136,a,9464,a)]. 9469 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(9464(a,1),8170(a,1,1))]. 9470 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(332(a,1),9462(a,1,2,2,1))]. 9471 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(8433,a,9469,a),flip(a)]. 9472 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(19(a,1),9471(a,1,2,2,1)),flip(a)]. 9473 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(9470,a,9472,a),flip(a)]. 9474 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(21(a,1),9473(a,1,2,2)),flip(a)]. 9475 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(19(a,1),9414(a,1,2,2)),flip(a)]. 9476 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(255,a,9014,a(flip),b,9417,a(flip)),flip(a)]. 9478 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(255,a,8999,a(flip),b,9476,a(flip)),flip(a)]. 9479 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(19(a,1),9476(a,1,2,2)),flip(a)]. 9480 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(255,a,7913,a,b,9479,a(flip)),flip(a)]. 9482 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(483(a,1),9480(a,1,2,2))]. 9484 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(255,a,8418,a(flip),b,9478,a(flip)),flip(a)]. 9485 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(19(a,1),9484(a,1,2,2,2)),flip(a)]. 9486 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(9485(a,1),9340(a,1))]. 9489 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(255,a,7641,a(flip),b,9442,a),flip(a)]. 9490 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(73(a,1),9489(a,1,1,1)),flip(a)]. 9491 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(20(a,1),9490(a,1,1,2)),flip(a)]. 9493 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(9359,a,9491,a),flip(a)]. 9494 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(8016(a,1),9491(a,1,1))]. 9495 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(9491(a,1),9359(a,1))]. 9496 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [para(9493(a,2),5252(a,2,2)),flip(a)]. 9497 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(7571(a,2),8690(a,1))]. 9498 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(255,a,7542,a(flip),b,7579,a)]. 9499 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. [para(7579(a,2),7899(a,1))]. 9500 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(7542(a,1),7612(a,1,1,2))]. 9501 R(K(x,y),T(T(y,z),u),w) = K(x,y). [hyper(5091,a,7674,a)]. 9502 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(z,x) \ u. [para(9501(a,1),679(a,1,1)),flip(a)]. 9503 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(8612,a,7693,a)]. 9504 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(8346,a,9503,a),flip(a)]. 9505 (T(T(x,y),z) \ 1) * T(x,y) = (x \ 1) * (x * K(z,T(x,y))). [hyper(255,a,5989,a(flip),b,7697,a(flip)),flip(a)]. 9507 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x). [hyper(255,a,396,a(flip),b,7831,a)]. 9508 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5556(a,1),7966(a,1,2))]. 9509 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5556(a,1),9508(a,2,2))]. 9510 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(9509(a,1),418(a,1,2)),flip(a)]. 9511 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(4458(a,1),9510(a,1,2,1))]. 9512 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(4458(a,1),9511(a,2,2,2))]. 9513 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(9512(a,1),4492(a,1,1))]. 9514 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(6929,a,7975,a)]. 9515 (x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x. [para(5392(a,1),8092(a,1,2,2))]. 9522 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(7699,a,8325,a)]. 9523 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(6728(a,2),9522(a,1,2,1))]. 9524 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(22,a,8637,a,b,8357,a)]. 9525 K(x,K(y,z \ (u * x))) = K(y,K(x,z \ u)). [hyper(8136,a,9524,a)]. 9526 K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). [hyper(255,a,8134,a,b,9524,a)]. 9527 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1303(a,1),9524(a,1,2,2))]. 9528 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(7802(a,1),9524(a,1,2)),flip(a)]. 9529 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(255,a,8134,a,b,9525,a)]. 9530 K(x,K(T(y,z),u \ (y * z))) = K(T(y,z),K(x,u \ z)). [para(127(a,1),9526(a,1,2,2,2))]. 9531 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(255,a,9504,a,b,9529,a(flip)),flip(a)]. 9532 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(9529(a,1),8454(a,1,2)),flip(a)]. 9533 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(255,a,8431,a(flip),b,9531,a(flip)),flip(a)]. 9534 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(8504,a,9533,a)]. 9535 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [para(9533(a,1),8115(a,1,2))]. 9536 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(255,a,9296,a,b,9534,a(flip)),flip(a)]. 9537 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(8176,a,9536,a)]. 9538 K(x,K(y,T(z \ (y * u),u))) = K(T(y,u),K(x,z \ u)). [para(7542(a,1),9530(a,1,2))]. 9539 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [hyper(8353,a,9535,a),flip(a)]. 9541 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [para(18(a,1),9539(a,1,2,2,1)),flip(a)]. 9543 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(29(a,2),9541(a,1,2,2)),flip(a)]. 9544 K(T(x,y),K(z,u \ y)) = K(z,K(x,(x * y) / u)). [para(8307(a,1),9538(a,1,2)),flip(a)]. 9545 K(T(x,y),K(z,u \ y)) = K(x,K(z,(x * y) / u)). [hyper(255,a,8134,a,b,9544,a)]. 9546 K(x,K(T(y,z),u \ z)) = K(y,K(x,(y * z) / u)). [hyper(8136,a,9545,a)]. 9547 K(x,K(y,(x * z) / u)) = K(y,K(x,z / u)). [para(8257(a,1),9546(a,1,2)),flip(a)]. 9548 K(x,K(y,(x * z) / u)) != w | K(x,K(y,z / u)) = w. [para(9547(a,2),8136(a,1))]. 9549 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(574(a,1),9543(a,1,2,2))]. 9550 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(9337,a,9549,a),flip(a)]. 9553 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(9550(a,1),5252(a,2,2))]. 9554 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(255,a,5252,a,b,9553,a)]. 9555 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(9554(a,1),8868(a,1,1,1))]. 9558 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(9357,a,8416,a),flip(a)]. 9560 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(5194(a,1),9558(a,1,2,2)),flip(a)]. 9561 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(7559(a,1),9558(a,1,2,2))]. 9562 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(255,a,6383,a,b,9560,a(flip)),flip(a)]. 9563 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(19(a,1),9562(a,1,2))]. 9564 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(9561(a,1),6670(a,1,1,2)),flip(a)]. 9565 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(4038(a,1),9563(a,2,2))]. 9566 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(255,a,6670,a(flip),b,9564,a)]. 9567 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(255,a,7210,a(flip),b,9566,a(flip)),flip(a)]. 9568 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(5608(a,1),9566(a,1,1,2)),flip(a)]. 9570 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(255,a,7206,a(flip),b,9567,a)]. 9571 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(5288(a,1),9570(a,1,2))]. 9573 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(9571(a,1),6460(a,1,1))]. 9574 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(9573(a,1),25(a,1)),flip(a)]. 9576 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(255,a,6055,a(flip),b,8591,a)]. 9577 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(80,a,9576,a(flip),b,5220,a)]. 9579 T(K(x,y) * T(z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). [para(6839(a,1),8733(a,1,1,2))]. 9580 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(255,a,6780,a(flip),b,8735,a(flip))]. 9581 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(5146(a,1),8746(a,2,1)),flip(a)]. 9582 (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(8793(a,1),5897(a,1,2,1))]. 9583 K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). [hyper(255,a,7270,a(flip),b,8795,a)]. 9585 K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). [hyper(255,a,6995,a(flip),b,9583,a(flip)),flip(a)]. 9586 K(x,y \ (z * (x / z))) = K(x,y \ x). [para(5271(a,1),9585(a,1,2,2))]. 9587 K(x,y \ ((z \ x) * z)) = K(x,y \ x). [para(70(a,1),9586(a,1,2,2,2))]. 9588 K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. [para(9587(a,1),7022(a,1))]. 9589 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(8687,a,8836,a),flip(a)]. 9590 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(255,a,7870,a(flip),b,9589,a(flip))]. 9591 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(255,a,8436,a(flip),b,8842,a)]. 9592 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(73(a,1),9591(a,1,2,2,1,2))]. 9593 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(255,a,5807,a(flip),b,9592,a(flip)),flip(a)]. 9596 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(255,a,7275,a(flip),b,8921,a(flip))]. 9597 K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). [hyper(6693,a,8931,a),flip(a)]. 9598 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(255,a,8892,a(flip),b,9597,a(flip)),flip(a)]. 9599 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(9598(a,1),5291(a,2,2,2)),flip(a)]. 9600 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7539(a,2),8956(a,1,2))]. 9609 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(9164(a,1),9174(a,1,1)),flip(a)]. 9610 x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). [hyper(255,a,2212,a(flip),b,9222,a)]. 9611 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [para(5552(a,1),9610(a,1,2))]. 9612 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(7434(a,1),9611(a,1,2)),flip(a)]. 9613 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(255,a,7481,a,b,9612,a(flip)),flip(a)]. 9614 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(9613(a,1),7632(a,1,1,2,1))]. 9615 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(255,a,9011,a(flip),b,9287,a(flip))]. 9616 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(9303(a,1),9289(a,2,2))]. 9617 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(255,a,8828,a,b,9616,a),flip(a)]. 9618 T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). [hyper(255,a,8865,a(flip),b,9617,a(flip))]. 9619 T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). [hyper(255,a,8958,a,b,9618,a(flip)),flip(a)]. 9620 T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). [para(128(a,1),9619(a,1,2,1))]. 9621 T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). [para(7102(a,1),9620(a,1,2,1,1))]. 9622 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(5375(a,1),9302(a,1,1,1))]. 9623 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(6559,a,9622,a),flip(a)]. 9624 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(9623(a,2),178(a,1,2,2))]. 9625 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(9623(a,2),430(a,2,2))]. 9626 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(8439(a,1),9311(a,1,1,1)),flip(a)]. 9627 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(9073(a,1),9626(a,2,1))]. 9628 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(255,a,5263,a,b,9627,a)]. 9629 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(255,a,8507,a(flip),b,9628,a(flip))]. 9630 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(255,a,9320,a(flip),b,9629,a(flip))]. 9631 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(592(a,1),9630(a,1,2,2)),flip(a)]. 9632 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(9630(a,1),9258(a,2,2))]. 9633 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [hyper(225,a,9403,a)]. 9634 L(K(x,y),z,x \ 1) = K(x,y). [hyper(422,a,9633,a)]. 9636 ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). [para(9633(a,1),6670(a,1,1))]. 9637 L(K(x \ 1,y),z,x) = K(x \ 1,y). [hyper(255,a,3963,a(flip),b,9634,a(flip)),flip(a)]. 9638 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(6468,a,9637,a)]. 9640 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(9637(a,1),112(a,1,2))]. 9641 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(4816(a,1),9638(a,1,1,1)),flip(a)]. 9642 R(K(x,y),z,x \ 1) = K((x \ 1) \ 1,y). [hyper(255,a,6209,a(flip),b,9641,a(flip)),flip(a)]. 9643 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(9641(a,1),6207(a,1,1)),flip(a)]. 9644 R(K(x,y),z,x \ 1) = K(x,y). [hyper(255,a,3312,a(flip),b,9642,a)]. 9645 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(9359,a,9644,a)]. 9646 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [para(9644(a,1),122(a,1,1)),flip(a)]. 9648 T(x,R(y,z,x \ 1)) = x * K(x,y). [para(9645(a,1),5252(a,2,2))]. 9650 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(255,a,5252,a,b,9648,a)]. 9651 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(685(a,1),9650(a,1,2))]. 9652 L(K(x,y),z,y \ 1) = K(x,y). [hyper(7086,a,9636,a)]. 9656 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(255,a,7035,a(flip),b,9652,a(flip)),flip(a)]. 9658 R(x,y,K(x \ 1,z)) = x. [hyper(454,a,9640,a)]. 9660 R(T(x,y),z,K(x \ 1,u)) = T(x,y). [para(9658(a,1),47(a,2,1))]. 9662 T(x,y * K(x \ 1,z)) = T(x,y). [hyper(255,a,6353,a(flip),b,9660,a(flip))]. 9664 K(x,y * K(x \ 1,z)) = x \ T(x,y). [hyper(80,a,9662,a(flip),b,5252,a(flip)),flip(a)]. 9666 T(x,K(x \ 1,y) * z) = T(x,z). [para(7559(a,1),9662(a,1,2))]. 9667 T(x,K(y,x \ 1) * z) = T(x,z). [para(7572(a,1),9662(a,1,2)),flip(a)]. 9668 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(7647(a,1),9662(a,1,2))]. 9669 T(x \ 1,K(x,y) * z) = T(x \ 1,z). [para(3312(a,1),9666(a,1,2,1))]. 9670 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(6053(a,1),9666(a,1,2)),flip(a)]. 9671 T(x,K(y,1 / x) * z) = T(x,z). [para(3707(a,2),9667(a,1,2,1))]. 9672 K(K(x,1 / y) * z,y) = y / T(y,z). [para(9671(a,1),5182(a,2,2))]. 9673 K(x,y * K(x \ 1,z)) = K(x,y). [hyper(255,a,5186,a,b,9664,a)]. 9677 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(7647(a,1),9673(a,1,2))]. 9679 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (T(K(x,y),z) * T(x \ 1,z)). [para(9669(a,1),834(a,1,2,2)),flip(a)]. 9681 K(K(x,1 / y) * z,y) = K(z,y). [hyper(255,a,5182,a,b,9672,a)]. 9682 K(K(x,y \ 1) * z,y) = K(z,y). [para(3707(a,1),9681(a,1,1,1))]. 9685 K(T(x,y \ 1) \ z,y) = K(x \ z,y). [para(5536(a,1),9682(a,1,1)),flip(a)]. 9687 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(6025(a,1),9682(a,1,1))]. 9692 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). [para(9677(a,1),6989(a,1,1))]. 9696 L(x,y,K(x \ 1,z)) = x. [hyper(422,a,9643,a)]. 9699 L(x \ 1,y,K(x,z)) = x \ 1. [para(3312(a,1),9696(a,1,3))]. 9700 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(9699(a,1),822(a,1,1)),flip(a)]. 9704 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(229,a,9646,a)]. 9705 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(172,a,9646,a,b,6533,a)]. 9708 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(45(a,2),9705(a,2,2))]. 9711 T(T(x * K(y * T(x,z),x),u),w) \ T(T(x,u),w) = K(x,T(T(T(x,z) * y,w),u)). [para(8031(a,1),9498(a,1,1,1,1,2))]. 9712 (x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))). [hyper(255,a,9205,a(flip),b,9500,a)]. 9713 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(x,z) * u. [hyper(255,a,5600,a(flip),b,9502,a)]. 9714 (T(T(x,y),z) \ 1) * T(x,z) = (x \ 1) * (x * K(y,T(x,z))). [para(43(a,1),9505(a,1,1,1))]. 9715 K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x). [para(18(a,1),9507(a,1,2,2,1,2))]. 9716 L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). [para(9514(a,1),421(a,1,2))]. 9717 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(9527(a,2),8504(a,1))]. 9718 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(255,a,8112,a(flip),b,9532,a)]. 9719 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(8621,a,9718,a)]. 9720 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(21(a,1),9719(a,1,2,2)),flip(a)]. 9721 L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). [para(9720(a,1),5253(a,1,2,1))]. 9722 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(255,a,9580,a(flip),b,9577,a)]. 9723 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(255,a,9250,a(flip),b,9590,a(flip)),flip(a)]. 9724 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [hyper(7895,a,9723,a)]. 9725 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(255,a,8715,a(flip),b,9724,a)]. 9726 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(255,a,6455,a(flip),b,9725,a)]. 9727 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(5406,a,9599,a),flip(a)]. 9728 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(255,a,8789,a,b,9727,a(flip)),flip(a)]. 9729 L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(9728(a,1),5195(a,1,1,1))]. 9730 T(T(x,K(y,x)),z * x) * ((T(x,x * z) * K(y,x)) \ u) = K(x,y) * u. [para(4568(a,1),9713(a,1,1))]. 9731 K(x \ 1,x) * K(y,T(x,z)) = (T(T(x,y),z) \ 1) * T(x,z). [hyper(255,a,7696,a,b,9714,a),flip(a)]. 9732 ((1 / x) * y) * T(((1 / x) * y) \ (K(z,u) * y),z) = K(z,u) * (K(x,z) * y). [para(5777(a,1),9715(a,1,2)),flip(a)]. 9733 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(7539(a,2),7546(a,1,1))]. 9734 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(47(a,2),7620(a,1,1))]. 9735 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). [hyper(255,a,8980,a(flip),b,7707,a)]. 9736 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(255,a,9700,a(flip),b,7715,a(flip))]. 9738 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(8235(a,1),9736(a,1,3))]. 9739 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(7108,a,9738,a)]. 9741 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(9739(a,1),2187(a,1,1,2))]. 9742 L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). [para(9739(a,1),3818(a,1,1))]. 9745 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(5490,a,7800,a),flip(a)]. 9746 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(255,a,7591,a,b,9745,a(flip)),flip(a)]. 9747 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(9746(a,1),6784(a,1,1,2)),flip(a)]. 9748 (x * y) \ ((T(x,z) * y) * x) = T(x,T(z,y)). [hyper(255,a,6734,a(flip),b,7823,a(flip))]. 9750 (x * y) \ ((T(x,z \ (u * x)) * y) * x) = T(x,T((u \ z) \ x,y)). [para(7002(a,1),9748(a,1,2,1,1))]. 9751 a(x,y * K(x,z),x) = a(x,y,T(x,z)). [hyper(636,a,7917,a),flip(a)]. 9752 a(x,y,T(x,z)) = a(x,y,x). [hyper(9413,a,9751,a),flip(a)]. 9753 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(9751(a,1),9413(a,1))]. 9754 a(x,T(y,x),x) != z | a(x,y,x) = z. [para(9752(a,1),7056(a,1))]. 9755 K(R((x * y) / x,z,u),T(w,y * x)) = K(L(R(y,z,u),x,y),w). [para(49(a,1),7925(a,2,1))]. 9756 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(255,a,5996,a(flip),b,8019,a)]. 9757 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(6672(a,1),9756(a,1,2)),flip(a)]. 9758 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(8267(a,1),8585(a,1,2))]. 9759 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7539(a,2),8291(a,1,1))]. 9760 K(x,K(y,T(z \ (x * u),x \ z))) = K(x,K(y,u / (x \ z))). [para(8322(a,1),7439(a,1,2))]. 9761 K(x,K(y,T(z \ (x * u),z))) = K(x,K(y,u / (x \ z))). [hyper(255,a,9058,a(flip),b,9760,a(flip)),flip(a)]. 9762 K(x,K(y,(x * z) / u)) = K(x,K(y,z / (x \ u))). [para(8255(a,1),9761(a,1,2))]. 9763 K(x,K(y,z / (x \ u))) = K(x,K(y,z / u)). [hyper(9548,a,9762,a),flip(a)]. 9764 K(x,K(y,z / (x * u))) = K(x,K(y,z / u)). [para(18(a,1),9763(a,1,2,2,2)),flip(a)]. 9765 R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u). [hyper(80,a,8380,a(flip),b,6416,a(flip))]. 9766 K(x \ (y * (x * z)),T(y,K(z,u))) = K(L(z \ 1,z,x) \ y,y). [hyper(255,a,8976,a(flip),b,8911,a(flip)),flip(a)]. 9767 x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. [para(8943(a,1),4518(a,1,2))]. 9768 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [hyper(255,a,7535,a(flip),b,8989,a)]. 9770 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [para(43(a,1),9415(a,1,1,2))]. 9771 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(7558(a,1),9416(a,1,1))]. 9772 K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). [hyper(7305,a,9692,a),flip(a)]. 9773 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(127(a,1),9772(a,1,2,1)),flip(a)]. 9774 K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). [para(166(a,1),9772(a,1,2,1,2)),flip(a)]. 9775 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [hyper(255,a,8979,a(flip),b,9773,a)]. 9776 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(255,a,7705,a(flip),b,9775,a(flip)),flip(a)]. 9777 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(9776(a,1),7252(a,1,1))]. 9778 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [hyper(6238,a,9733,a),flip(a)]. 9780 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(255,a,7944,a(flip),b,9778,a(flip))]. 9781 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(255,a,7701,a,b,9780,a)]. 9782 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [para(70(a,1),9780(a,1,2,1,1)),flip(a)]. 9783 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(70(a,1),9781(a,1,2,1,1)),flip(a)]. 9784 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(255,a,7700,a,b,9782,a(flip)),flip(a)]. 9785 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(255,a,7245,a(flip),b,9783,a(flip))]. 9786 K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). [para(70(a,1),9784(a,1,2,1)),flip(a)]. 9787 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(9470,a,9785,a),flip(a)]. 9788 K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). [para(6488(a,1),9787(a,1,2))]. 9789 K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). [hyper(8593,a,9786,a)]. 9790 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(255,a,8933,a(flip),b,9789,a(flip)),flip(a)]. 9791 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(73(a,1),9790(a,2,2))]. 9792 K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2858(a,1),9734(a,2,1,1))]. 9793 K(R(x,y,z),T(T(u,x * w),w)) = K(L(R(x,y,z),w,x),u). [hyper(255,a,8311,a(flip),b,9755,a(flip)),flip(a)]. 9794 K(R(x,y,z),T(T(u,w),x * w)) = K(L(R(x,y,z),w,x),u). [para(43(a,1),9793(a,1,2))]. 9795 K(R(x,y,z),T(T(u,w),w)) = K(L(R(x,y,z),w,x),u). [hyper(255,a,9032,a(flip),b,9794,a(flip)),flip(a)]. 9796 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(9339,a,9795,a),flip(a)]. 9798 K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). [para(49(a,2),9796(a,1,1))]. 9799 K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). [hyper(255,a,9368,a(flip),b,9798,a(flip))]. 9800 K(R(x,x \ a(x,y,x),z),u) = K(x,u). [hyper(255,a,7427,a(flip),b,9799,a)]. 9803 (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). [para(9800(a,1),7209(a,1,1)),flip(a)]. 9804 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [para(9168(a,1),9803(a,1,1)),flip(a)]. 9805 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [hyper(5622,a,9804,a)]. 9806 K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. [hyper(310,a,9804,a),flip(a)]. 9807 K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z. [para(9804(a,1),24(a,1)),flip(a)]. 9808 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(5894(a,2),9805(a,1,1))]. 9809 K(x,x * y) * z != K(x,y) * (a(x,y,x) \ u) | z = u. [para(9806(a,2),24(a,2))]. 9810 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(5683(a,1),9808(a,1,2))]. 9811 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(9759(a,1),6366(a,1,1)),flip(a)]. 9812 L(K(T(T(x,y),z * y),u),y,z) * w = K((z * y) / (z * (u \ y)),x) \ w. [para(9770(a,1),6488(a,1,1)),flip(a)]. 9813 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(9473(a,1),9771(a,1,1,1))]. 9817 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6873(a,1),7745(a,1,1))]. 9818 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(422,a,7773,a)]. 9819 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(255,a,9768,a(flip),b,9818,a(flip)),flip(a)]. 9823 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(19(a,1),9819(a,1,2,2)),flip(a)]. 9824 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(8051(a,1),9819(a,1,2))]. 9825 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(19(a,1),9824(a,1,2,2,2))]. 9826 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(7980(a,1),9824(a,1,2))]. 9827 K(x * y,T(y,z * x)) = K(y * x,T(y,z)). [hyper(7915,a,9826,a),flip(a)]. 9830 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(7914,a,9825,a),flip(a)]. 9831 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(21(a,1),9830(a,1,2,2)),flip(a)]. 9832 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(255,a,8631,a(flip),b,9831,a(flip)),flip(a)]. 9833 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(255,a,9447,a(flip),b,9832,a(flip)),flip(a)]. 9834 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(255,a,8710,a(flip),b,9833,a(flip))]. 9835 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(9470,a,9834,a),flip(a)]. 9836 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(255,a,9029,a(flip),b,9835,a(flip)),flip(a)]. 9840 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). [para(5509(a,1),7882(a,1,2)),flip(a)]. 9842 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7957(a,1),7961(a,1,2,2)),flip(a)]. 9843 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(255,a,5819,a(flip),b,9842,a)]. 9845 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(255,a,5821,a(flip),b,9843,a(flip))]. 9846 K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)). [hyper(255,a,5195,a(flip),b,8052,a)]. 9847 K(K(L(x,y,z),u) * w,L(x,v5,v6)) = K(w,L(x,v5,v6)). [para(7559(a,1),9846(a,1,1))]. 9848 K(K(x,y) * z,L(x,u,w)) = K(z,L(x,u,w)). [para(319(a,1),9847(a,1,1,1,1))]. 9849 K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). [para(5874(a,1),9848(a,1,1)),flip(a)]. 9850 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [para(129(a,1),9849(a,1,1,2)),flip(a)]. 9851 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(8185(a,1),8165(a,1,1))]. 9852 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(9851(a,1),124(a,1,1,1)),flip(a)]. 9853 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(9851(a,1),5611(a,1,2))]. 9854 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(255,a,9712,a(flip),b,8337,a(flip)),flip(a)]. 9859 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(255,a,8728,a(flip),b,8729,a)]. 9860 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(255,a,8731,a,b,9859,a(flip)),flip(a)]. 9861 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(73(a,1),9860(a,2,2,2,1))]. 9862 K(x,T(1 \ ((y \ z) * x),z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(255,a,9443,a(flip),b,8777,a(flip)),flip(a)]. 9863 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / (x * z))). [para(8138(a,1),8837(a,2,2))]. 9864 K(x,T(y,T((x * z) \ u,z))) != w | K(x,T(y,u / (x * z))) = w. [para(8837(a,2),8372(a,1))]. 9865 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(255,a,4493,a(flip),b,8940,a)]. 9866 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(18(a,1),9865(a,1,1,2,1)),flip(a)]. 9867 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(255,a,4494,a(flip),b,8941,a)]. 9868 (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). [para(2082(a,2),9120(a,2,2))]. 9869 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(81,a,7219,a(flip),b,9122,a)]. 9870 (x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)). [para(2077(a,1),9141(a,2,2))]. 9871 L(a(x,y,x),K(x,x * y),z) = K(x,y) * K(x * y,x). [hyper(255,a,9139,a(flip),b,9183,a)]. 9873 L(a(x,y,x),K(x,x * y),z) = a(x,y,x). [hyper(255,a,9154,a(flip),b,9871,a)]. 9874 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = x / a(y,z,y). [para(9873(a,1),316(a,1,2)),flip(a)]. 9876 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(8138(a,1),9278(a,1,1,1))]. 9879 (x \ y) * K((x \ 1) \ (x \ y),(x * (x \ y)) \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(9435(a,1),6772(a,1,2))]. 9880 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(5149,a,9581,a),flip(a)]. 9881 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(8572(a,1),9880(a,1,1,2))]. 9886 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(255,a,7605,a(flip),b,9747,a)]. 9887 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(45(a,2),9886(a,2,2))]. 9888 T(x,L(T(y,y \ z),u,w)) = T(x,L(T(y,z),u,w)). [para(128(a,2),9887(a,1,2,1))]. 9889 T(x,L(T(T(y * z,z) / y,(T(y * z,z) / y) \ (y * z)),u,w)) = T(x,L((y * z) / y,u,w)). [para(4150(a,1),9888(a,2,2,1))]. 9890 T(x,T((y \ z) \ x,u)) = T(x,T(z \ (y * x),u)). [hyper(255,a,9748,a(flip),b,9750,a(flip))]. 9891 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(8336(a,1),9854(a,1,2)),flip(a)]. 9892 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(7201(a,1),9891(a,2,2))]. 9893 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(59(a,1),9862(a,1,2,1))]. 9894 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(255,a,9783,a(flip),b,9893,a),flip(a)]. 9895 K(x,T(1 \ ((y \ z) * x),y)) = K(x,T((y \ z) * x,z)). [hyper(255,a,9443,a(flip),b,9894,a(flip)),flip(a)]. 9896 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [para(59(a,1),9895(a,1,2,1)),flip(a)]. 9897 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / z)). [para(9764(a,1),9863(a,2,2))]. 9898 K(x,T(y,T((x * z) \ u,z))) = K(x,T(y,u / z)). [hyper(255,a,8115,a(flip),b,9897,a)]. 9899 K(x,T(y,z / (x * u))) = K(x,T(y,z / u)). [hyper(9864,a,9898,a)]. 9900 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(19(a,1),9899(a,1,2,2,2)),flip(a)]. 9901 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [para(9900(a,1),5252(a,2,2))]. 9902 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(255,a,5252,a,b,9901,a)]. 9903 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(255,a,9651,a(flip),b,9902,a(flip))]. 9904 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(68(a,1),9903(a,1,2,2))]. 9905 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(129(a,1),9904(a,1,2)),flip(a)]. 9906 (x * (K(y,z) * L(K(u,y),w,v5))) * K(z,y) = x * L(K(u,y),w,v5). [hyper(6674,a,9870,a)]. 9907 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(9261(a,1),9876(a,1,1))]. 9908 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(8138(a,1),9907(a,2,1))]. 9909 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(8134(a,1),9908(a,2,2))]. 9910 K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). [para(8016(a,1),7748(a,1,1))]. 9911 L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). [para(7959(a,1),9910(a,1,2)),flip(a)]. 9913 L(x,K(y,x) * z,x) = L(x,z,x). [hyper(255,a,5539,a(flip),b,9911,a)]. 9915 L(x,T(x,y) \ z,x) = L(x,x \ z,x). [para(5560(a,1),9913(a,1,2))]. 9916 L(x,y / T(x,z),x) = L(x,x \ y,x). [hyper(255,a,9398,a,b,9915,a(flip)),flip(a)]. 9918 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [hyper(255,a,7398,a,b,9916,a(flip)),flip(a)]. 9921 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(255,a,5195,a(flip),b,8087,a)]. 9922 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(18(a,1),9921(a,1,1,2,1))]. 9923 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(8090(a,1),5490(a,1))]. 9924 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(5485,a,8091,a),flip(a)]. 9926 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(4038(a,2),8310(a,1,1))]. 9927 K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). [hyper(255,a,8115,a,b,8318,a),flip(a)]. 9928 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(8707,a,8642,a)]. 9929 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(9928(a,1),5252(a,2,2)),flip(a)]. 9930 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(9929(a,1),5255(a,1))]. 9931 K(x,(y * (z / (x \ 1))) \ u) = K(x,(y * z) \ (x \ u)). [hyper(255,a,9735,a(flip),b,8982,a(flip))]. 9932 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(255,a,9774,a(flip),b,9931,a(flip))]. 9933 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(37(a,2),9932(a,1,2,2))]. 9934 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(8670,a,9933,a)]. 9935 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(255,a,6692,a(flip),b,9142,a(flip)),flip(a)]. 9936 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(255,a,2077,a(flip),b,9935,a)]. 9937 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(6672(a,1),9936(a,1,2)),flip(a)]. 9938 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(7106(a,1),9937(a,1,2))]. 9939 T(x,a(y,z,K(x,u))) = x. [para(9937(a,1),7958(a,1,2))]. 9940 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(9939(a,1),7559(a,1,2,2)),flip(a)]. 9941 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [hyper(7079,a,9938,a)]. 9943 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2079,a,9938,a)]. 9944 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(255,a,6490,a,b,9938,a(flip)),flip(a)]. 9946 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [para(9938(a,1),5220(a,1,2)),flip(a)]. 9947 ((x * y) / x) * L(K(y,x),z,u) = y * a(u,z,K(x,y)). [para(9938(a,1),5858(a,2,2))]. 9949 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(7046(a,1),9938(a,1,2))]. 9950 (x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y). [para(9938(a,1),7113(a,1,1,2))]. 9951 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [para(9938(a,1),9125(a,1,2))]. 9952 (x * a(y,z,K(u,w))) * K(w,u) = x * L(K(w,u),z,y). [para(9938(a,1),9906(a,1,1,2))]. 9953 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(6493,a,9943,a)]. 9954 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [hyper(255,a,9142,a,b,9943,a(flip)),flip(a)]. 9956 K(L(x,y,z),u) * K(u,x) = a(z,y * x,K(u,x)). [para(7046(a,1),9943(a,1,1))]. 9957 x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. [para(9944(a,1),94(a,1,2)),flip(b)]. 9958 K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). [para(7039(a,1),9953(a,1,1))]. 9959 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(9949(a,1),5905(a,2,2))]. 9961 (x * K(y,z)) * u != x * L(K(y,z),w,v5) | a(v5,w,K(z,y)) = u. [para(9951(a,1),24(a,1)),flip(a)]. 9962 (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). [para(6633(a,1),9951(a,1,1)),flip(a)]. 9963 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [hyper(23,a,9950,a,b,9952,a),flip(a)]. 9964 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [hyper(255,a,5318,a(flip),b,9963,a(flip))]. 9965 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). [para(9963(a,1),384(a,1,1))]. 9966 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [hyper(255,a,5433,a,b,9954,a),flip(a)]. 9967 x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). [hyper(255,a,7677,a(flip),b,9962,a(flip)),flip(a)]. 9968 (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). [para(9946(a,1),9967(a,1,2)),flip(a)]. 9969 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [hyper(422,a,9968,a)]. 9970 a(x,y,a(z,u,K(y,w))) = 1. [hyper(39,a,9969,a)]. 9971 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(8242(a,1),9970(a,1,3,3))]. 9973 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(255,a,8135,a(flip),b,9432,a)]. 9975 R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. [para(7542(a,1),9811(a,1,1))]. 9976 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(8231(a,1),9813(a,1,1)),flip(a)]. 9977 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(9976(a,1),21(a,1,1))]. 9979 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(18(a,1),9977(a,1,1,1,1))]. 9980 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(9495,a,9926,a)]. 9981 K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). [para(5618(a,1),9926(a,2,2))]. 9982 K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(9926(a,1),8439(a,2,2))]. 9983 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(8176,a,9973,a)]. 9984 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(7582(a,1),9975(a,1,1))]. 9985 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(255,a,9759,a(flip),b,9984,a(flip))]. 9986 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(7233(a,2),9985(a,1,1))]. 9987 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(9986(a,1),5384(a,1))]. 9989 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(1327(a,1),7689(a,1,2)),flip(a)]. 9990 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(6362(a,1),7809(a,1,2)),flip(a)]. 9991 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(255,a,3340,a,b,9990,a)]. 9992 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(6209(a,1),7922(a,1,1,2))]. 9993 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(9992(a,2),7218(a,1,1))]. 9994 T(x * R(K(y,z),u,w),K(v5,y)) = T(x,K(v5,y)) * R(K(y,z),u,w). [hyper(8164,a,8216,a),flip(a)]. 9998 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). [hyper(255,a,9868,a(flip),b,8825,a)]. 9999 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(255,a,7513,a(flip),b,8966,a)]. 10001 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(255,a,9598,a(flip),b,9999,a(flip)),flip(a)]. 10002 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(7908(a,1),9143(a,1,2)),flip(a)]. 10004 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1751(a,1),9177(a,1,2,2))]. 10005 (K(x,y) * T(z,u)) / K(x,T(y,z)) = (z * (K(x,y) * K(z,u))) * K(y,x). [para(7539(a,2),9256(a,1,2))]. 10006 K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y). [para(8134(a,1),9384(a,1,1))]. 10009 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(4446(a,1),9523(a,1,1))]. 10010 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(255,a,9240,a(flip),b,10009,a)]. 10011 T(T(K(x,y) * z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). [para(9264(a,2),9579(a,1,1))]. 10012 T(x,y * x) * ((T(x,x * y) * K(z,x)) \ u) = K(x,z) * u. [para(3140(a,1),9730(a,1,1,1))]. 10013 T(x,y * x) * (L(x,y,x) \ z) = K(x,y) * z. [para(5707(a,1),10012(a,1,2,1))]. 10014 T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. [para(4563(a,1),10013(a,1,1))]. 10015 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(255,a,9376,a,b,10014,a(flip)),flip(a)]. 10016 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(9809,a,10015,a)]. 10017 a(x,y,x) * z = z * a(x,y,x). [hyper(9807,a,10015,a)]. 10018 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(9372(a,1),10015(a,1,2)),flip(a)]. 10019 T(x,a(y,z,y)) = x. [hyper(8094,a,10016,a)]. 10020 T(a(x,y,x),z) = a(x,y,x). [hyper(4425,a,10016,a)]. 10021 x / a(y,z,y) = a(y,z,y) \ x. [hyper(96,a,10016,a)]. 10022 K(x,a(y,z,y)) = 1. [hyper(41,a,10019,a)]. 10023 a(x,y,x) * z != u | z * a(x,y,x) = u. [para(10019(a,1),225(a,1,2))]. 10025 x * K(y,a(z,u,z)) = x. [para(10022(a,2),17(a,1,2))]. 10029 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(10025(a,1),208(a,1)),flip(a)]. 10030 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(10025(a,1),266(a,1)),flip(b)]. 10031 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(10025(a,1),5301(a,1,1,1))]. 10032 (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). [para(10025(a,1),5436(a,1,1)),flip(a)]. 10036 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(255,a,9609,a(flip),b,10017,a)]. 10039 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(10017(a,1),574(a,1,2,1))]. 10043 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = a(y,z,y) \ x. [hyper(255,a,9874,a,b,10021,a(flip)),flip(a)]. 10044 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(10021(a,1),9380(a,1,2))]. 10047 T(x,R(a(y,z,y),u,w)) = x. [hyper(174,a,10031,a)]. 10048 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(10020(a,1),10039(a,2,1))]. 10049 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(9164(a,2),10048(a,1,2,1))]. 10051 (x / K(y,z)) * K(y,y * z) = a(y,z,y) \ x. [para(9168(a,1),10043(a,1,1,2))]. 10052 (x * K(y,z)) * K(z,z * y) = a(z,y,z) \ x. [para(6673(a,1),10051(a,1,1))]. 10053 (x / R(y,z,y)) * y = a(y,z,y) \ x. [hyper(255,a,7065,a(flip),b,10052,a(flip)),flip(a)]. 10054 (x / R(y,z,y)) * y = x / a(y,z,y). [hyper(255,a,10021,a,b,10053,a)]. 10055 (a(x,y,x) * (z * x)) / R(x,y,x) = z. [hyper(23,a,18,a(flip),b,10053,a)]. 10056 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(255,a,9217,a(flip),b,10053,a(flip)),flip(a)]. 10057 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(79,a,10053,a(flip),b,9217,a(flip)),flip(a)]. 10058 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(81,a,20,a(flip),b,10054,a),flip(a)]. 10059 x * (y \ L(y,z,y)) = x / a(y,z,y). [hyper(255,a,9217,a(flip),b,10054,a(flip)),flip(a)]. 10060 a(x,y,x) * (z * x) = z * R(x,y,x). [para(10055(a,1),21(a,1,1)),flip(a)]. 10061 (x * R(y,z,y)) / (x * y) = a(y,z,y). [para(10055(a,1),77(a,1,1,1))]. 10062 a(x,y,x) \ K(x,z) = x \ L(T(x,z),y,x). [hyper(255,a,7709,a(flip),b,10056,a(flip))]. 10064 (x / y) * R(y,z,y) = x * a(y,z,y). [para(10058(a,1),21(a,1,1))]. 10065 x / (y \ L(y,z,y)) = x * a(y,z,y). [hyper(81,a,20,a(flip),b,10059,a)]. 10066 (x * y) * a(y,z,y) = x * R(y,z,y). [hyper(10023,a,10060,a)]. 10068 (x * R(y,z,y)) / (x * y) != u | a(y,z,y) = u. [para(10060(a,1),304(a,1,1)),flip(b)]. 10069 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(10061(a,1),226(a,1,1)),flip(b)]. 10070 ((x * y) * R(L(z,y,x),u,L(z,y,x))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(112(a,1),10061(a,1,2))]. 10072 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(255,a,7516,a,b,10064,a(flip)),flip(a)]. 10073 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4624(a,1),10064(a,1,2))]. 10074 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10064(a,2),9382(a,1,2))]. 10075 x / (a(y,z,y) \ 1) = x * a(y,z,y). [para(10057(a,2),10065(a,1,2))]. 10076 (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). [para(10066(a,1),10032(a,1,1,2))]. 10077 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(18(a,1),10072(a,1,2)),flip(a)]. 10078 R(x,y,x) * (T(x,z) \ u) = (K(z,x) * u) * a(x,y,x). [para(5556(a,1),10072(a,1,2))]. 10079 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [hyper(500,a,10075,a)]. 10080 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(10057(a,1),10079(a,1,3))]. 10081 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [para(9153(a,2),10080(a,1,2))]. 10082 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(10029,a,10077,a)]. 10083 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(10082(a,1),466(a,1,1,1))]. 10085 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(18(a,1),9866(a,1,1,2,1)),flip(a)]. 10086 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(18(a,1),9867(a,1,1,2,1))]. 10088 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(7666,a,9959,a)]. 10089 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(138(a,1),10088(a,1,2,2))]. 10090 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(255,a,7818,a,b,9989,a(flip)),flip(a)]. 10091 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(127(a,1),10004(a,1,2)),flip(a)]. 10092 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(255,a,10049,a(flip),b,10091,a)]. 10093 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). [para(5216(a,1),10092(a,1,1,2)),flip(a)]. 10094 (x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) * K(z,T(y,x)). [hyper(7607,a,10005,a),flip(a)]. 10095 K(x,K(y,z \ 1)) \ (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(6222(a,1),10006(a,1,2))]. 10096 K(K(x,y \ 1),z) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [hyper(5623,a,10095,a)]. 10097 K(x,K(y \ 1,z)) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [para(8100(a,1),10096(a,1,1))]. 10098 K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(8448(a,1),10097(a,1,1))]. 10099 K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z). [hyper(9419,a,10098,a)]. 10100 K(x,y) * (K(z,x) * (K(x,y) \ u)) = K(z,x) * u. [hyper(8207,a,10011,a)]. 10102 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(18(a,1),10100(a,1,2,2))]. 10103 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(5600(a,1),10100(a,1,2,2))]. 10105 (K(x,y) * K(z,x)) \ (K(z,x) * (K(x,y) * u)) = L(u,K(z,x),K(x,y)). [hyper(80,a,10102,a(flip),b,112,a)]. 10106 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [para(5608(a,1),10102(a,1,2)),flip(a)]. 10107 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(7044(a,1),10102(a,1,2,1)),flip(a)]. 10108 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(5622,a,10103,a)]. 10109 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(5622,a,10106,a)]. 10110 (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). [para(10108(a,1),1882(a,1,1,1,1))]. 10112 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(8138(a,2),10109(a,1,1))]. 10115 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(8138(a,2),10112(a,2,2,1))]. 10116 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(310,a,10115,a),flip(a)]. 10117 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(8138(a,2),10116(a,1,2,1))]. 10118 L(x,K(y,z),K(z,u)) != w | L(x,K(z,u),K(y,z)) = w. [para(10105(a,1),2086(a,1))]. 10119 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(255,a,7816,a(flip),b,10090,a(flip)),flip(a)]. 10120 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (T(x,u) * K(z,T(y,x))). [hyper(255,a,7774,a(flip),b,10094,a)]. 10121 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(7044(a,1),10107(a,1,1))]. 10122 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (K(x,u) * (K(z,y) * x)). [para(7566(a,2),10120(a,2,2))]. 10123 K(x,y) * (K(z,u) * (K(y,x) * z)) = T(z,T(u,K(x,y))). [hyper(8417,a,10122,a),flip(a)]. 10124 K(x,y) * (K(K(x,y) * z,u) * z) = T(K(x,y) * z,T(u,K(x,y))). [para(5608(a,1),10123(a,1,2,2))]. 10125 K(x,y) * (z * K(z * K(x,y),u)) = T(K(x,y) * z,T(u,K(x,y))). [para(8285(a,1),10124(a,1,2))]. 10126 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [hyper(255,a,5991,a(flip),b,7763,a(flip))]. 10127 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(255,a,5991,a(flip),b,7820,a(flip))]. 10128 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(114(a,2),10127(a,1,1))]. 10129 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(10127(a,1),9431(a,1,2))]. 10130 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(255,a,7794,a(flip),b,8071,a(flip)),flip(a)]. 10132 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(255,a,5821,a(flip),b,10130,a(flip))]. 10133 R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). [para(8479(a,1),10132(a,1,2))]. 10135 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(255,a,5994,a(flip),b,8080,a)]. 10136 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(5340(a,1),10135(a,1,1)),flip(a)]. 10137 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8197(a,1),8617(a,1,1,3))]. 10138 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5600(a,1),10137(a,2,2))]. 10139 L(K(x,T(T(y,z),u * (K(y,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7539(a,2),8988(a,1,1))]. 10140 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(8183,a,9319,a)]. 10141 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(7891,a,9555,a)]. 10142 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1303(a,1),9726(a,1,2,1))]. 10143 L(K(T(T(x,y),z * y),u),y,z) * w = K(x,(z * y) / (z * (u \ y))) * w. [hyper(255,a,5600,a(flip),b,9812,a)]. 10144 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(8049(a,1),9845(a,1,1,2))]. 10145 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(255,a,5821,a(flip),b,10144,a(flip))]. 10147 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(255,a,251,a(flip),b,9852,a)]. 10148 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(255,a,5242,a,b,10147,a)]. 10150 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(255,a,8134,a,b,10148,a)]. 10151 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(18(a,1),9979(a,2,2,1,1))]. 10152 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(96,a,10151,a)]. 10153 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(10151(a,1),304(a,1,1)),flip(b)]. 10155 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(127(a,2),10152(a,1,2))]. 10156 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(9300(a,2),10155(a,1,1))]. 10157 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(8914(a,1),10139(a,1,1))]. 10158 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(255,a,9770,a(flip),b,10157,a(flip)),flip(a)]. 10160 K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. [para(10140(a,1),8183(a,1))]. 10161 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(584(a,1),10142(a,1,2,2))]. 10162 L(K(T(x,y),T(z,u * y)),y,u) * w = K(x,(u * y) / (u * (z \ y))) * w. [para(7542(a,1),10143(a,1,1,1))]. 10163 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(10156(a,1),466(a,1))]. 10164 L(K(x,T(T(y,z * u),u)),u,z) * w = K(x,(z * u) / (z * (y \ u))) * w. [para(7542(a,1),10162(a,1,1,1))]. 10165 K((x * y) / (x * (z \ y)),u) * w = K(z,(x * y) / (x * (u \ y))) * w. [para(9415(a,1),10164(a,1,1))]. 10166 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(25,a,10165,a)]. 10167 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(255,a,10158,a(flip),b,10166,a(flip))]. 10168 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(255,a,6520,a(flip),b,10166,a(flip))]. 10169 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(10167(a,2),21(a,1,1))]. 10171 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(10168(a,2),10153(a,1))]. 10172 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1304(a,1),10169(a,1,1,2))]. 10173 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(10169(a,1),9088(a,1,2)),flip(a)]. 10174 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(10169(a,1),9246(a,1,2,2,1)),flip(a)]. 10175 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5622,a,10172,a),flip(a)]. 10176 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5608(a,1),10172(a,1,2,2)),flip(a)]. 10177 K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. [para(8242(a,1),10172(a,1,1))]. 10178 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(80,a,64,a(flip),b,10175,a),flip(a)]. 10179 (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [hyper(80,a,10178,a,b,1776,a)]. 10180 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(7516(a,1),10176(a,2,2))]. 10184 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5560(a,1),10180(a,1,2)),flip(a)]. 10185 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(255,a,10074,a(flip),b,10184,a(flip))]. 10186 (K(x,y) * z) * a(y,u,y) = y * (L(T(y,x),u,y) \ z). [hyper(255,a,10078,a(flip),b,10185,a(flip)),flip(a)]. 10187 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(10185(a,1),7449(a,1,2))]. 10188 a(x,y,x) * (K(z,x) * u) = x * (L(T(x,z),y,x) \ u). [hyper(10029,a,10186,a)]. 10189 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5634,a,10187,a),flip(a)]. 10190 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(5649(a,1),5304(a,2,1))]. 10191 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(5216(a,1),10190(a,1,1,1))]. 10192 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [para(10191(a,1),73(a,1,1))]. 10193 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(4505(a,1),10192(a,1,1,2))]. 10194 T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(6086(a,1),5400(a,1,2,1))]. 10195 K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [hyper(8694,a,10194,a)]. 10196 K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7539(a,2),10195(a,1,2,1))]. 10197 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(184(a,1),5695(a,1,2)),flip(a)]. 10198 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(5381(a,1),10197(a,1,1,2,1))]. 10199 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(183(a,1),5696(a,1,2)),flip(a)]. 10200 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(5381(a,1),10199(a,1,1,2,1))]. 10201 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(9938(a,1),10200(a,1,1)),flip(a)]. 10202 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(255,a,10121,a,b,10201,a(flip)),flip(a)]. 10203 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6491(a,1),10201(a,1,2)),flip(a)]. 10204 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(80,a,5608,a(flip),b,10203,a),flip(a)]. 10205 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(255,a,10202,a(flip),b,10204,a(flip))]. 10206 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(416,a,10205,a)]. 10207 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(255,a,9940,a,b,10205,a)]. 10209 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(10207(a,2),24(a,1))]. 10210 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5683(a,1),5871(a,1,2))]. 10214 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6978(a,1),6427(a,1,1,1))]. 10215 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(81,a,8995,a(flip),b,10214,a(flip))]. 10218 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(255,a,1070,a(flip),b,7321,a(flip)),flip(a)]. 10219 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(9140(a,1),7367(a,1)),flip(a)]. 10224 K(x,y) * T(z * R(K(y,u),w,v5),K(x,y)) = (z * K(x,y)) * R(K(y,u),w,v5). [para(9994(a,2),8659(a,1,2))]. 10225 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(83,a,8752,a),flip(a)]. 10226 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4902(a,1),10225(a,1,1)),flip(a)]. 10227 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(6511,a,10226,a)]. 10228 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(255,a,5992,a(flip),b,8759,a)]. 10230 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(255,a,8951,a(flip),b,8952,a)]. 10231 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(70(a,1),10230(a,1,1,2,1,2,1))]. 10232 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(255,a,8582,a(flip),b,10231,a(flip)),flip(a)]. 10233 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(8555,a,10232,a)]. 10234 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [hyper(255,a,7671,a(flip),b,9001,a)]. 10243 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(184(a,1),9388(a,2,1))]. 10244 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(255,a,9304,a(flip),b,10243,a(flip))]. 10245 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1849(a,1),9436(a,1,2))]. 10246 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(636,a,10245,a),flip(a)]. 10248 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)). [para(7157(a,1),10246(a,1,2)),flip(a)]. 10249 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [para(10246(a,1),9437(a,1,2))]. 10250 K(x * L(y,z,u),y) != K(x,y) * w | a(y,x,L(y,z,u)) = w. [para(10249(a,1),24(a,1))]. 10251 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1958(a,1),9438(a,1,2))]. 10252 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(636,a,10251,a),flip(a)]. 10253 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10251(a,1),636(a,1))]. 10254 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(9439,a,10252,a)]. 10255 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(10252(a,1),19(a,1,2))]. 10256 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(10252(a,1),6135(a,1,1)),flip(a)]. 10257 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(10252(a,1),9387(a,1,2)),flip(a)]. 10258 T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [para(10133(a,2),10252(a,1,2))]. 10259 R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(4787(a,1),10256(a,2,1))]. 10261 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(10254(a,1),6689(a,1,1))]. 10262 K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). [para(8060(a,1),10254(a,1,1))]. 10263 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(10254(a,1),8818(a,1,1)),flip(a)]. 10264 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(21(a,1),10261(a,1,2,2))]. 10265 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5671,a,10257,a)]. 10266 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(255,a,1070,a(flip),b,10265,a(flip)),flip(a)]. 10267 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(10265(a,1),19(a,1,2))]. 10268 ((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u). [hyper(255,a,1638,a(flip),b,9732,a(flip)),flip(a)]. 10269 (K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u). [para(8758(a,2),10268(a,1,1))]. 10270 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(73(a,1),10269(a,1,1,2,1))]. 10271 L(x,K(y,z),K(z,u)) = x. [hyper(422,a,10270,a)]. 10272 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(172,a,10270,a,b,19,a),flip(a)]. 10275 (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). [para(2075(a,1),10270(a,1,1))]. 10276 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(x,y) * (K(z,x) * u)) / (K(x,y) * K(z,x))). [para(10270(a,1),4127(a,2,2,1))]. 10277 (K(x,y) * z) / (K(y,u) * (K(x,y) * z)) = R(K(u,y),K(x,y),z). [para(10270(a,1),6417(a,1,2))]. 10278 L(x,K(y,z),K(u,y)) = x. [hyper(10118,a,10271,a)]. 10279 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(255,a,4506,a(flip),b,10271,a)]. 10280 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [hyper(255,a,6306,a(flip),b,10271,a(flip)),flip(a)]. 10281 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7542(a,1),10271(a,1,2))]. 10282 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(255,a,5436,a(flip),b,10278,a(flip)),flip(a)]. 10283 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(10278(a,1),112(a,1,2))]. 10284 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(10281(a,1),112(a,1,2))]. 10285 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(10279(a,1),9047(a,1,2,3))]. 10286 K(x,y) * (K(z,x) * K(K(z,x) * K(x,y),u)) = T(K(z,x) * K(x,y),u). [hyper(5255,a,10275,a),flip(a)]. 10287 (K(x,y) * z) / (K(u,y) * z) = K(x,y) * K(y,u). [hyper(81,a,10103,a(flip),b,10275,a)]. 10288 (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). [para(2075(a,1),10280(a,1,1))]. 10289 R(K(x,y),K(y,z),u) = K(x,y). [hyper(5091,a,10283,a)]. 10290 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(81,a,10106,a(flip),b,10283,a)]. 10291 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). [para(10289(a,1),3802(a,1,1)),flip(a)]. 10292 (x * K(y,z)) / (K(u,T(z,x)) * x) = K(y,T(z,x)) * K(T(z,x),u). [para(8235(a,1),10287(a,1,1))]. 10293 (K(x,T(y,z)) * K(y,u)) \ w = K(y,T(x,z)) * (K(u,y) * w). [para(7542(a,1),10288(a,1,1,1))]. 10294 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5162(a,1),10290(a,1,1))]. 10295 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(255,a,10002,a(flip),b,10272,a(flip)),flip(a)]. 10296 R(K(x,y),K(z,y),u) = K(x,y). [hyper(5613,a,10277,a),flip(a)]. 10298 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(T(z,x),u). [para(8235(a,1),10292(a,1,2))]. 10299 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(z,T(u,x)). [para(7542(a,1),10298(a,2,2))]. 10300 x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(160(a,2),10294(a,1,2,2,2))]. 10301 T(K(x,y) * K(z,x),T(u,K(x,y))) = T(K(z,x) * K(x,y),u). [hyper(255,a,10125,a(flip),b,10286,a(flip)),flip(a)]. 10302 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(5216(a,1),10093(a,2,2))]. 10303 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(8242(a,1),10177(a,1,2,2,1))]. 10305 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(255,a,7283,a(flip),b,10210,a(flip))]. 10306 ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). [para(10145(a,1),10218(a,2,2,2,1,1))]. 10307 (x * R(K(y,z),u,w)) * K(v5,y) = (x * K(v5,y)) * R(K(y,z),u,w). [hyper(225,a,10224,a)]. 10308 (x * R(K(y,z),u,w)) * K(v5,y) = x * (K(v5,y) * R(K(y,z),u,w)). [hyper(255,a,9120,a(flip),b,10307,a)]. 10309 x / (K(y,z) * R(K(z,y),u,w)) = x * (K(z,y) * R(K(y,z),u,w)). [hyper(255,a,9869,a,b,10308,a(flip)),flip(a)]. 10310 x * (K(y,z) * R(K(z,y),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(5604(a,1),10309(a,1,2)),flip(a)]. 10311 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [para(5604(a,1),10310(a,1,2)),flip(a)]. 10312 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(4320,a,10311,a)]. 10313 a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(10253,a,10258,a)]. 10314 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(10133(a,1),10259(a,1,1))]. 10315 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(9213,a,10282,a)]. 10316 T(x,T((1 / y) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(8805(a,1),6170(a,1,1))]. 10317 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3810(a,1),6345(a,1,2,1,1))]. 10318 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3312(a,1),10317(a,1,2))]. 10319 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(6440,a,10176,a)]. 10320 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(10319(a,1),7218(a,1,1,2)),flip(a)]. 10321 R(K(x,y),R(x,z,u),w) = K(x,y). [hyper(255,a,6670,a(flip),b,10320,a)]. 10322 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(255,a,6374,a(flip),b,10321,a(flip)),flip(a)]. 10323 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(255,a,6373,a(flip),b,7194,a(flip))]. 10324 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1940(a,2),7281(a,1,2))]. 10325 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. [para(7542(a,1),8295(a,2,1,2))]. 10326 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(8939(a,1),5485(a,1))]. 10327 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(4446(a,1),9184(a,1,1)),flip(a)]. 10328 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(10271(a,1),9197(a,1,1,1)),flip(a)]. 10329 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2075(a,1),10328(a,1,2,2))]. 10330 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(10329(a,1),6634(a,1,1))]. 10331 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(6839(a,1),10330(a,1,1,1)),flip(a)]. 10332 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(47(a,2),9268(a,1,1,2))]. 10333 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). [para(7539(a,2),9679(a,2,2,1))]. 10334 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(5490,a,9721,a),flip(a)]. 10335 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(255,a,8852,a(flip),b,10334,a)]. 10336 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(8861,a,10335,a)]. 10337 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9850(a,1),10336(a,1,2))]. 10338 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(255,a,10129,a(flip),b,10337,a(flip))]. 10339 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(255,a,8856,a(flip),b,10338,a(flip))]. 10340 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(8136,a,10339,a)]. 10341 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(255,a,9983,a(flip),b,10340,a(flip)),flip(a)]. 10342 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(255,a,9758,a(flip),b,10341,a)]. 10344 K(x,K(y,a(z,x,u))) = 1. [para(166(a,1),10342(a,1,2,2,3))]. 10346 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(10344(a,1),8105(a,1,2)),flip(a)]. 10347 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(255,a,17,a(flip),b,10346,a)]. 10348 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(255,a,8367,a(flip),b,10347,a(flip)),flip(a)]. 10349 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [para(10348(a,1),127(a,1,2)),flip(a)]. 10350 K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. [para(9729(a,1),5485(a,1))]. 10351 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(9836(a,2),9337(a,1))]. 10353 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(7554(a,1),10262(a,1,2)),flip(a)]. 10354 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(255,a,10254,a(flip),b,10353,a)]. 10356 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(129(a,1),10354(a,1,2)),flip(a)]. 10357 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(332(a,1),10354(a,1,2,2))]. 10358 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(10356(a,1),10264(a,1,1))]. 10359 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(255,a,7618,a(flip),b,10358,a)]. 10360 T(x,T((y \ 1) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(5088(a,1),10316(a,1,1))]. 10361 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(224,a,10324,a)]. 10362 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(6223(a,1),10361(a,1,2)),flip(a)]. 10363 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5209(a,1),10362(a,2,2))]. 10364 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(73(a,1),10363(a,1,1,2,1))]. 10365 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(73(a,1),10364(a,2,2,1,2))]. 10366 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(80,a,6834,a(flip),b,10365,a(flip))]. 10367 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(80,a,10365,a(flip),b,7184,a(flip))]. 10369 (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). [para(5192(a,1),10365(a,2,2))]. 10371 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(6672(a,1),10365(a,1,1)),flip(a)]. 10372 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [para(128(a,1),10366(a,2,1))]. 10373 L(K(x,y),y \ 1,z) = K(x,y). [hyper(5532,a,10367,a)]. 10374 L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). [hyper(255,a,9294,a(flip),b,10373,a)]. 10375 (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). [hyper(255,a,7184,a(flip),b,10369,a(flip)),flip(a)]. 10376 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5216(a,1),10371(a,1,2,1))]. 10377 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(10372(a,1),5025(a,1,1)),flip(a)]. 10378 (x * (y \ K(z,y))) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(10375(a,1),3766(a,1,1))]. 10379 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(255,a,4424,a(flip),b,10377,a(flip)),flip(a)]. 10380 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(6466(a,1),10379(a,2,1,1))]. 10381 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(7315(a,1),10380(a,1,1))]. 10382 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(10381(a,1),4290(a,2,1))]. 10383 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(255,a,7032,a(flip),b,10374,a(flip)),flip(a)]. 10384 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(255,a,9656,a(flip),b,10383,a(flip))]. 10385 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(255,a,9687,a(flip),b,10384,a)]. 10386 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(8081,a,10385,a)]. 10388 K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). [para(127(a,1),10386(a,1,1,1)),flip(a)]. 10391 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [hyper(255,a,9685,a(flip),b,10388,a(flip))]. 10392 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(255,a,7068,a,b,10391,a(flip)),flip(a)]. 10393 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(255,a,7038,a,b,10391,a(flip)),flip(a)]. 10394 L(K(x * y,x),y,z) = K(z \ (x * (z * y)),x). [hyper(255,a,7847,a(flip),b,10393,a)]. 10395 L(K(x * y,y),x,z) = K(z \ ((z * x) * y),y). [para(5894(a,2),10393(a,1,1))]. 10396 K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). [para(10393(a,1),9938(a,1,2))]. 10397 K(x \ (y * (x * z)),T(y,K(u,x \ (y * (x * z))))) = L(K(y * z,y),z,x). [hyper(255,a,7555,a,b,10394,a),flip(a)]. 10398 L(K(x * y,y),x,z) = K(z \ (y * (z * x)),y). [para(5894(a,2),10394(a,1,1))]. 10399 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x * y,x)). [para(10394(a,1),7438(a,2,1))]. 10400 L(K(x * T(y,z * x),T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). [para(127(a,1),10395(a,2,1,2))]. 10401 R(x,y \ 1,K(z,y)) = x. [hyper(304,a,10378,a)]. 10403 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [hyper(255,a,5328,a(flip),b,10401,a(flip)),flip(a)]. 10404 R(x,y \ 1,K(z,T(y,u))) = x. [para(7542(a,1),10401(a,1,3))]. 10405 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(5216(a,1),10404(a,1,3,2))]. 10406 R(x,y \ K(y,z),K(u,y)) = x. [para(5402(a,1),10405(a,1,2))]. 10407 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(255,a,6752,a(flip),b,10406,a(flip)),flip(a)]. 10408 R(x,y,K(z,y \ 1)) = x. [para(290(a,1),10406(a,1,2))]. 10410 R(x,y \ z,K(u,z \ y)) = x. [para(6580(a,1),10408(a,1,3))]. 10411 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(10410(a,1),451(a,1,1))]. 10412 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(5206(a,1),10403(a,1,2))]. 10413 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [para(10412(a,1),73(a,1,1))]. 10414 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [hyper(255,a,7117,a,b,10413,a(flip)),flip(a)]. 10415 (T(x,y) \ 1) \ T(y,x) = (x \ 1) \ y. [para(10413(a,1),7118(a,1,1))]. 10416 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(10414(a,1),4703(a,1,1)),flip(a)]. 10417 K(x,y) * ((x \ 1) \ y) = (T(x,y) \ 1) \ y. [para(10415(a,1),6556(a,1,2))]. 10419 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(5252(a,2),10407(a,1,1))]. 10420 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [para(10419(a,2),73(a,1,1))]. 10421 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(5374(a,1),10420(a,2,2))]. 10422 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(73(a,1),10416(a,1,1,2,1)),flip(a)]. 10423 (T(x,y) \ 1) \ y = x * (((x \ 1) \ y) / x). [hyper(255,a,5590,a(flip),b,10417,a(flip))]. 10424 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [para(10422(a,1),70(a,1,2))]. 10425 (T(1 * (K(x,y) * K(z,x)),u) \ 1) \ u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(9215(a,1),10423(a,2,2,1,1))]. 10426 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [hyper(255,a,7171,a,b,10424,a(flip))]. 10427 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(10426(a,1),2229(a,1,1))]. 10428 (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). [para(6064(a,2),10427(a,1,1))]. 10429 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(18(a,1),10428(a,1,1,1,1)),flip(a)]. 10430 (((K(x,y) * K(z,x)) * u) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(9215(a,1),10429(a,1,1,1)),flip(a)]. 10431 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(10411(a,1),7196(a,1,2))]. 10432 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(129(a,1),10421(a,1,1,1))]. 10433 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(10432(a,1),7299(a,1,1))]. 10434 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4690(a,2),10433(a,1,1,2))]. 10435 (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(9756(a,1),10434(a,1,1,2))]. 10436 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5385(a,1),10376(a,1,1,2))]. 10437 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5849(a,1),10436(a,2,2))]. 10439 R(x,K(y \ 1,z),y) = x. [hyper(5091,a,10437,a)]. 10440 L(x \ 1,K(x,y),z) = x \ 1. [hyper(422,a,10437,a)]. 10441 R(x,y,K(y \ 1,z)) = x. [hyper(7316,a,10439,a)]. 10442 (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). [para(10441(a,1),122(a,1,1)),flip(a)]. 10445 L(K(x \ 1,y),x,z) = K(x \ 1,y). [hyper(422,a,10442,a)]. 10446 a(x,y,K(y \ 1,z)) = 1. [hyper(39,a,10445,a)]. 10447 a(x,y \ 1,K(y,z)) = 1. [para(3312(a,1),10446(a,1,3))]. 10448 L(K(x,y),x \ 1,z) = K(x,y). [hyper(38,a,10447,a)]. 10450 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(255,a,6185,a(flip),b,10448,a(flip)),flip(a)]. 10451 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [para(10450(a,1),5252(a,2,2))]. 10452 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(255,a,5252,a,b,10451,a)]. 10453 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(255,a,9386,a(flip),b,10452,a)]. 10455 K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). [para(10396(a,1),5628(a,1,2))]. 10456 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(9957,a,10455,a)]. 10457 L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). [para(19(a,1),10456(a,2,2,2,1))]. 10458 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(5842(a,2),10456(a,1,1))]. 10459 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(233(a,1),10458(a,2,2))]. 10460 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [hyper(7521,a,10457,a)]. 10461 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(255,a,9773,a,b,10460,a(flip)),flip(a)]. 10462 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [hyper(255,a,10010,a(flip),b,10461,a(flip))]. 10463 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [hyper(9335,a,10462,a)]. 10464 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [hyper(255,a,9229,a(flip),b,10463,a(flip))]. 10466 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [hyper(255,a,8265,a(flip),b,10464,a(flip))]. 10467 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(255,a,7049,a(flip),b,10459,a)]. 10469 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(10270(a,1),10430(a,1,1,1))]. 10470 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(5939,a,10431,a),flip(a)]. 10471 K((x \ y) * (y \ x),z) = 1. [hyper(41,a,10470,a)]. 10472 T(x,(y \ z) * (z \ y)) = x. [hyper(40,a,10470,a)]. 10473 K(x * ((y * x) \ y),z) = 1. [para(18(a,1),10471(a,1,1,1))]. 10476 T(x,y * ((z * y) \ z)) = x. [para(18(a,1),10472(a,1,2,1))]. 10479 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(42,a,10473,a)]. 10480 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(6157,a,10476,a),flip(a)]. 10481 K(x,y * ((z * y) \ z)) = 1. [hyper(41,a,10476,a)]. 10485 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(162(a,2),10479(a,1,1,2))]. 10486 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(255,a,9741,a(flip),b,10485,a(flip)),flip(a)]. 10487 T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). [hyper(255,a,5928,a(flip),b,10485,a(flip)),flip(a)]. 10491 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(10486(a,1),2132(a,1,1))]. 10492 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * (K(z,x) * 1),u). [para(10280(a,1),10469(a,2,1))]. 10493 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * K(z,x),u). [para(17(a,1),10492(a,2,1,2))]. 10504 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [hyper(255,a,3317,a(flip),b,10466,a)]. 10505 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [hyper(8714,a,10504,a)]. 10506 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [hyper(255,a,9563,a,b,10505,a),flip(a)]. 10507 K(L(x \ 1,x,y) \ z,z) = L(K(z * x,z),x,y). [hyper(255,a,9766,a(flip),b,10397,a(flip)),flip(a)]. 10508 x / (L(K(y * z,y),z,u) * x) = K(y,L(z \ 1,z,u) \ y). [para(10507(a,1),5605(a,1,2,1))]. 10509 K(x,L(y \ 1,y,z) \ x) = L(K(x,x * y),y,z). [hyper(6492,a,10508,a),flip(a)]. 10510 L(K(x,x * ((y * z) \ y)),(y * z) \ y,z * y) = K(x,z \ x). [para(5463(a,1),10509(a,1,2,1)),flip(a)]. 10511 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(7436(a,1),10506(a,1,1))]. 10512 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(19(a,1),10511(a,2,2,1,2,1))]. 10513 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [hyper(255,a,5893,a,b,10512,a),flip(a)]. 10515 T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). [para(10513(a,1),5252(a,2,2))]. 10516 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(9600(a,1),10325(a,2,1))]. 10517 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(255,a,10138,a(flip),b,10516,a)]. 10518 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7542(a,1),10517(a,1,1,2))]. 10519 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(8235(a,1),10518(a,1,2))]. 10520 (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). [para(9428(a,2),10519(a,1,1))]. 10521 K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). [para(8193(a,1),10332(a,1,2))]. 10522 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * T(x \ K(x,y),z). [para(10099(a,1),10333(a,2,2))]. 10523 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [hyper(255,a,127,a(flip),b,10522,a)]. 10524 L(x \ 1,K(x,T(y,z)),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(7539(a,2),10523(a,1,1,2))]. 10525 (x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(10440(a,1),10524(a,1,1))]. 10526 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [hyper(255,a,6532,a,b,10525,a(flip)),flip(a)]. 10527 ((x \ 1) * y) / ((x \ K(x,z)) * y) = K(z,x). [para(10525(a,1),6539(a,1,2))]. 10529 L(x,y \ 1,K(y,z)) = x. [hyper(3610,a,10526,a)]. 10530 a(K(x,y),x \ 1,z) = 1. [hyper(39,a,10529,a)]. 10531 R(K(x,y),y \ 1,z) = K(x,y). [hyper(255,a,6420,a(flip),b,10527,a(flip)),flip(a)]. 10533 T(x,T(1 \ (y * x),z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(9890(a,1),10360(a,1,1))]. 10534 L(K(x * y,T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). [para(8332(a,1),10400(a,1,1))]. 10536 K(x \ (y * (x * z)),T(y,x * z)) = L(K(y * z,T(y,x)),z,x). [para(9827(a,1),10534(a,1,1)),flip(a)]. 10537 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(8602,a,10536,a),flip(a)]. 10539 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(8588(a,1),10521(a,1,2))]. 10540 T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). [para(10539(a,1),5821(a,1,1,2))]. 10542 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5819(a,1),10540(a,1,1))]. 10543 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(255,a,7388,a(flip),b,10542,a(flip))]. 10544 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10543(a,1),9010(a,2,1))]. 10545 T(x,T(y * x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(59(a,1),10533(a,1,1,2,1))]. 10546 T(x,T(y * x,z)) * K((y \ 1) \ 1,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(7551(a,1),10545(a,1,2))]. 10547 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(3312(a,1),10546(a,1,2))]. 10548 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(5055(a,1),5067(a,2,1))]. 10549 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(9426(a,1),5351(a,1,2))]. 10551 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(5226(a,1),5571(a,2,2))]. 10552 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = L(x,y,z). [hyper(255,a,33,a,b,10551,a)]. 10554 L(x,y,T(x,z)) = L(x,y,x). [hyper(255,a,7750,a(flip),b,10552,a(flip)),flip(a)]. 10556 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(10554(a,1),45(a,2,1))]. 10558 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(255,a,45,a,b,10556,a)]. 10559 L(T(x,y),T(z,x),x) = L(T(x,y),z,x). [hyper(255,a,4780,a(flip),b,10558,a(flip))]. 10561 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(10558(a,1),9371(a,1,2,1))]. 10562 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(9381,a,10561,a),flip(a)]. 10564 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10562(a,1),9373(a,1,1,2))]. 10565 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10066(a,1),10564(a,1,1))]. 10567 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(255,a,10558,a(flip),b,10565,a)]. 10569 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(255,a,5030,a,b,6662,a),flip(a)]. 10570 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(6633(a,1),6669(a,2,1))]. 10571 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). [hyper(255,a,35,a,b,10570,a)]. 10574 R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). [para(169(a,1),10571(a,1,2))]. 10575 R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). [para(7158(a,1),10574(a,1,1))]. 10577 T(x,y) \ (1 / (1 / T(x * K(z,x),y))) = (T(T(x,z),y) \ 1) * T(x,y). [para(5414(a,1),7324(a,1,2,2,2,1))]. 10578 T(x,y) \ T(1 / (1 / (x * K(z,x))),y) = (T(T(x,z),y) \ 1) * T(x,y). [para(2230(a,1),10577(a,1,2))]. 10579 T(x,y) \ T(1 / (K(x,z) / x),y) = (T(T(x,z),y) \ 1) * T(x,y). [para(5649(a,1),10578(a,1,2,1,2))]. 10580 T(x,y) \ T(1 / (K(x,z) / x),y) = K(x \ 1,x) * K(z,T(x,y)). [hyper(255,a,9731,a,b,10579,a)]. 10581 T(1 / (1 / x),y) \ T(1 / (K(x,z) / x),y) = K(z,T(x,y)). [hyper(3460,a,10580,a)]. 10583 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(155(a,1),8638(a,1,1))]. 10585 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(6673(a,1),10583(a,1,2))]. 10586 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(10318(a,1),10585(a,1,2)),flip(a)]. 10587 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(255,a,16,a(flip),b,10586,a)]. 10588 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5622,a,10587,a)]. 10589 K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(4814(a,1),10588(a,1,2,2))]. 10590 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(9315(a,1),10588(a,1,1))]. 10592 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(255,a,7758,a(flip),b,8973,a(flip))]. 10594 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(255,a,8937,a(flip),b,10592,a(flip))]. 10596 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(33(a,2),10594(a,2,2))]. 10598 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5608(a,1),10596(a,1,2,2)),flip(a)]. 10599 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10598(a,1),5602(a,1,2,2)),flip(a)]. 10600 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(255,a,5602,a(flip),b,10599,a)]. 10601 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(5207(a,1),10600(a,1,1,2)),flip(a)]. 10602 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(255,a,8678,a(flip),b,9236,a(flip))]. 10604 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(35(a,2),10602(a,1,1))]. 10605 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(255,a,8097,a,b,10604,a(flip)),flip(a)]. 10606 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(255,a,9494,a,b,10605,a(flip)),flip(a)]. 10607 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(255,a,10173,a(flip),b,10606,a(flip)),flip(a)]. 10609 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(255,a,9491,a(flip),b,10607,a(flip))]. 10610 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(10609(a,1),5291(a,2,2,2))]. 10611 T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. [para(10610(a,2),5406(a,1))]. 10612 K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). [hyper(255,a,8668,a(flip),b,9247,a(flip))]. 10614 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). [para(35(a,2),10612(a,1,2))]. 10615 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). [hyper(255,a,7928,a,b,10614,a(flip)),flip(a)]. 10616 x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). [para(10615(a,1),5252(a,2,2)),flip(a)]. 10617 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). [hyper(5255,a,10616,a),flip(a)]. 10618 T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(5560(a,1),10617(a,1,2,1)),flip(a)]. 10619 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(10611,a,10618,a),flip(a)]. 10621 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(5719,a,10619,a)]. 10622 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,y),u),w)). [hyper(9499,a,9711,a),flip(a)]. 10623 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [hyper(255,a,8841,a(flip),b,10622,a(flip))]. 10625 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(255,a,10141,a(flip),b,9980,a)]. 10626 K(a(x,y,z),x) = 1. [hyper(6412,a,10625,a),flip(a)]. 10628 T(a(x,y,z),x) = a(x,y,z). [hyper(42,a,10626,a)]. 10629 a(x,y,z) * x = x * a(x,y,z). [para(10628(a,1),127(a,1,2)),flip(a)]. 10631 (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(428(a,1),10070(a,1,1))]. 10632 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(23,a,5090,a(flip),b,10382,a)]. 10633 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(73(a,1),10548(a,1,1,2)),flip(a)]. 10634 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(4216(a,1),10569(a,1,1)),flip(a)]. 10635 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(10634(a,1),6665(a,1,1)),flip(a)]. 10636 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(255,a,5588,a(flip),b,10635,a)]. 10637 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(255,a,8596,a(flip),b,10636,a(flip)),flip(a)]. 10642 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(7736(a,1),10589(a,1,1))]. 10643 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(5186(a,2),10642(a,1,2))]. 10645 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(6408(a,1),10643(a,1,1))]. 10646 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(255,a,7811,a(flip),b,10645,a)]. 10647 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(2081,a,10646,a)]. 10651 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3958(a,1),5095(a,1,2))]. 10652 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4970(a,1),5096(a,1,2)),flip(a)]. 10653 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(255,a,33,a,b,10652,a)]. 10657 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2263(a,2),10653(a,1,2))]. 10658 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(2809(a,1),10653(a,1,2)),flip(a)]. 10659 L(x,T((y \ 1) \ 1,z) \ u,w) = L(x,T(y,z) \ u,w). [para(3456(a,1),10653(a,1,2))]. 10660 L(x,T(1 / y,z) \ u,w) = L(x,T(y \ 1,z) \ u,w). [para(3514(a,1),10653(a,1,2))]. 10661 L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). [para(7026(a,1),10653(a,1,2))]. 10662 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(6519(a,1),10657(a,1,2))]. 10663 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(9252(a,1),10658(a,1,2,2)),flip(a)]. 10664 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(y \ 1,z) \ 1,x). [hyper(255,a,10547,a,b,10660,a(flip)),flip(a)]. 10665 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(6506(a,1),10663(a,1,2,2)),flip(a)]. 10687 L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). [para(9918(a,1),6744(a,1,1)),flip(a)]. 10688 L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). [para(7525(a,1),10687(a,1,2,2))]. 10690 L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). [hyper(255,a,45,a,b,10688,a)]. 10691 L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). [para(5556(a,1),10690(a,1,2))]. 10692 L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). [para(8738(a,2),10691(a,1,2))]. 10693 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(255,a,10559,a(flip),b,10692,a(flip)),flip(a)]. 10694 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(255,a,10215,a(flip),b,6976,a)]. 10696 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(9153(a,1),10694(a,1,3))]. 10697 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(10696(a,1),379(a,1,1)),flip(a)]. 10698 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(10697(a,1),9176(a,1,1))]. 10699 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). [para(10698(a,1),2168(a,1,1)),flip(a)]. 10703 R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). [para(3332(a,1),8480(a,1,2,1)),flip(a)]. 10704 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3332(a,1),10703(a,1,2)),flip(a)]. 10706 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). [para(10704(a,1),578(a,1,1,1)),flip(a)]. 10708 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ T(y * L(y \ z,u,w),x)). [para(37(a,2),8661(a,2,2,2))]. 10709 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,L(y \ z,u,w)). [hyper(255,a,7999,a(flip),b,10708,a)]. 10711 K(x,L((y * x) \ (z * x),u,w)) = K(x,L(y \ z,u,w)). [para(507(a,1),10709(a,1,2))]. 10712 K(x,L((y / x) \ z,u,w)) = K(x,L(y \ (z * x),u,w)). [para(21(a,1),10711(a,1,2,1,1)),flip(a)]. 10713 K(x,L(y \ (((y / x) * z) * x),u,w)) = K(x,L(z,u,w)). [para(18(a,1),10712(a,1,2,1)),flip(a)]. 10714 L(K(x,y \ (((y / x) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). [hyper(7021,a,10713,a)]. 10715 L(K(x,y \ (((x \ y) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). [para(8972(a,1),10714(a,1,1))]. 10716 L(K(x,y),((z / x) * y) * x,u) = K(x,L(y,z,u)). [para(7250(a,1),10715(a,1,1))]. 10717 K(L(x,(y / x) * z,u),z) = K(x,L(z,y,u)). [hyper(255,a,7046,a(flip),b,10716,a(flip)),flip(a)]. 10719 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(255,a,10481,a(flip),b,10717,a(flip))]. 10720 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(255,a,7075,a(flip),b,10719,a(flip)),flip(a)]. 10722 K(x,a(K(y,z),u,u \ 1)) = 1. [para(10312(a,1),10720(a,1,2))]. 10723 T(x,a(K(y,z),u,u \ 1)) = x. [hyper(42,a,10722,a)]. 10724 T(x,a(K(y,z),u \ 1,u)) = x. [para(3965(a,1),10723(a,1,2))]. 10725 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(40,a,10724,a)]. 10726 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(255,a,3952,a,b,10725,a)]. 10727 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5610(a,2),10726(a,1,1))]. 10728 K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u). [hyper(255,a,10196,a,b,10727,a(flip)),flip(a)]. 10729 K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u). [hyper(255,a,7570,a,b,10728,a(flip)),flip(a)]. 10730 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(255,a,8813,a(flip),b,8811,a)]. 10731 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [hyper(255,a,6850,a(flip),b,10730,a)]. 10732 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(255,a,10453,a(flip),b,10731,a(flip))]. 10734 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(255,a,9905,a,b,10732,a(flip)),flip(a)]. 10735 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(255,a,9670,a(flip),b,10734,a(flip)),flip(a)]. 10736 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(37(a,2),10735(a,1,2,1)),flip(a)]. 10737 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [hyper(255,a,9475,a(flip),b,10736,a(flip)),flip(a)]. 10738 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [hyper(255,a,9668,a(flip),b,10737,a)]. 10739 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [hyper(255,a,9414,a(flip),b,10738,a(flip)),flip(a)]. 10740 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(9467(a,1),8872(a,1,2))]. 10741 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(8138(a,1),10740(a,1,2))]. 10743 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(8548(a,1),10741(a,2,1))]. 10744 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(255,a,10263,a(flip),b,10743,a(flip)),flip(a)]. 10745 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(10219,a,10744,a)]. 10746 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(255,a,10295,a(flip),b,10745,a(flip)),flip(a)]. 10747 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). [hyper(7899,a,9051,a),flip(a)]. 10754 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). [para(8203(a,1),9401(a,1,2))]. 10755 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(255,a,8370,a(flip),b,10754,a)]. 10757 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(18(a,1),9441(a,1,2,1))]. 10759 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(33(a,2),10757(a,1,2))]. 10760 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(255,a,8655,a(flip),b,10759,a(flip)),flip(a)]. 10761 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(255,a,7435,a(flip),b,10760,a)]. 10764 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(19(a,1),10761(a,2,2,2))]. 10765 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(4621(a,1),10764(a,1,1,2))]. 10766 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(7483,a,10765,a)]. 10768 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(255,a,10601,a(flip),b,10766,a(flip))]. 10769 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(127(a,1),9624(a,1,2))]. 10770 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(9987,a,10769,a)]. 10771 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(255,a,8750,a(flip),b,10770,a(flip)),flip(a)]. 10772 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(21(a,1),10771(a,1,2,1)),flip(a)]. 10773 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(255,a,8990,a(flip),b,10772,a)]. 10774 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(166(a,1),10773(a,1,2)),flip(a)]. 10775 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(10773(a,1),9625(a,1,2))]. 10776 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(255,a,7053,a(flip),b,10775,a(flip))]. 10777 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(81,a,10776,a(flip),b,127,a(flip))]. 10779 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(255,a,251,a(flip),b,10777,a(flip))]. 10784 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(10779(a,1),7984(a,1,2))]. 10789 K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))). [hyper(255,a,9407,a(flip),b,9788,a(flip)),flip(a)]. 10790 K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(6614(a,1),9982(a,1,2))]. 10791 K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). [hyper(255,a,9315,a(flip),b,10790,a(flip)),flip(a)]. 10793 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10539(a,1),10544(a,1,2,1))]. 10794 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(5560(a,1),10793(a,1,2))]. 10796 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(7539(a,2),10590(a,1,2,2,1))]. 10797 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(255,a,4930,a(flip),b,10651,a(flip)),flip(a)]. 10798 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(255,a,9823,a(flip),b,10747,a)]. 10800 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(255,a,8254,a(flip),b,10798,a)]. 10801 K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(5600(a,1),10796(a,1,2))]. 10802 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(4047(a,1),10797(a,1,2))]. 10803 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(5716,a,10802,a),flip(a)]. 10805 R(x,1 / y,z) = R(x,y \ 1,z). [para(691(a,1),10803(a,1,2)),flip(a)]. 10806 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(1250(a,1),10803(a,1,2)),flip(a)]. 10809 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(10805(a,1),3868(a,1,2))]. 10810 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(10806(a,1),122(a,1,1))]. 10811 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(10810(a,1),25(a,1))]. 10812 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(3065(a,1),10809(a,1,2,1))]. 10813 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4387(a,1),10812(a,1,2,1)),flip(a)]. 10815 (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(1310(a,1),4673(a,1,1))]. 10816 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1328(a,1),10815(a,1,2))]. 10817 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(636,a,10816,a),flip(a)]. 10818 a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(255,a,4787,a,b,10817,a(flip)),flip(a)]. 10819 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4446(a,1),10818(a,1,1))]. 10820 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(255,a,10313,a(flip),b,10819,a(flip)),flip(a)]. 10821 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4788,a,10820,a)]. 10822 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(10821(a,1),10314(a,2,1))]. 10823 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(255,a,10256,a(flip),b,10822,a(flip)),flip(a)]. 10828 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) / K(y,z). [para(6807(a,1),7775(a,2,1))]. 10829 T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ x) = (x / y) \ T(x,y). [hyper(255,a,564,a(flip),b,7955,a)]. 10830 T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ x) = (x * y) / x. [hyper(255,a,4131,a(flip),b,10829,a)]. 10831 (T(x,y) / (x / y)) \ x = x / ((x * y) / x). [para(10830(a,1),199(a,1,2)),flip(a)]. 10832 (x * y) / (((x * y) * y) / (x * y)) = (T(x * y,y) / x) \ (x * y). [para(20(a,1),10831(a,1,1,2)),flip(a)]. 10833 (T(x * y,y) / x) \ (x * y) = x * K(y,x * y). [hyper(255,a,6840,a(flip),b,10832,a(flip))]. 10834 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(255,a,10228,a(flip),b,9286,a)]. 10836 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(255,a,6580,a(flip),b,10834,a)]. 10837 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(6591(a,1),10836(a,1,2,2))]. 10838 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(255,a,9389,a(flip),b,9392,a)]. 10839 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(8486(a,1),10838(a,1,2,1,2,1))]. 10840 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(7309,a,9777,a),flip(a)]. 10841 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(9352,a,10840,a)]. 10842 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(7354,a,10841,a)]. 10843 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(383(a,1),10842(a,1,2,1,2))]. 10844 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(255,a,9934,a(flip),b,10843,a(flip))]. 10845 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(7353,a,10844,a)]. 10846 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(255,a,7251,a,b,10844,a(flip)),flip(a)]. 10847 K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5265(a,1),10844(a,1,2,1)),flip(a)]. 10848 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(10844(a,1),7255(a,1,2,2))]. 10849 K(x,(y * z) \ (u * x)) != w | K(x,(y * (z / x)) \ u) = w. [para(10844(a,1),7353(a,1))]. 10850 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(10844(a,1),7256(a,1,1))]. 10851 K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5699(a,2),10847(a,1,2,1,1))]. 10852 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(5694,a,10848,a),flip(a)]. 10853 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(7272,a,10852,a)]. 10854 K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. [para(10852(a,1),7272(a,1))]. 10855 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [hyper(255,a,5816,a,b,10851,a(flip)),flip(a)]. 10856 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(255,a,10846,a(flip),b,10850,a(flip))]. 10857 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(255,a,8935,a(flip),b,10856,a(flip)),flip(a)]. 10858 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(255,a,7942,a,b,10857,a(flip))]. 10859 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(255,a,9482,a(flip),b,10858,a)]. 10860 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(21(a,1),10859(a,1,2,1)),flip(a)]. 10861 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(255,a,7649,a(flip),b,10860,a(flip))]. 10862 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(255,a,6580,a(flip),b,10861,a)]. 10863 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(5502,a,10862,a),flip(a)]. 10864 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(255,a,7250,a(flip),b,10862,a(flip))]. 10866 (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). [para(10863(a,1),6670(a,1,1,2))]. 10867 T(1 / (1 / x),y) \ T(1 / (K(x,z * (x \ u)) / x),y) = K(x \ (z * u),T(x,y)). [para(10863(a,1),10581(a,1,2,1,2,1))]. 10868 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(255,a,8660,a,b,10864,a(flip)),flip(a)]. 10872 L(K(x,x \ y),y,z) = K(x,x \ y). [para(18(a,1),10868(a,1,3))]. 10874 a(x,y,K(z,z \ y)) = 1. [hyper(39,a,10872,a)]. 10875 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(255,a,7803,a(flip),b,10872,a(flip)),flip(a)]. 10876 a(x,y,K(z \ y,z)) = 1. [para(5389(a,1),10874(a,1,3))]. 10877 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(38,a,10876,a)]. 10878 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(8699,a,10877,a)]. 10879 K((x * y) \ z,y) = K(y \ (x \ z),y). [hyper(7304,a,10877,a)]. 10881 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(255,a,8969,a(flip),b,10875,a(flip))]. 10883 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(19(a,1),10878(a,1,1,2,2))]. 10884 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(10878(a,1),8747(a,1,2))]. 10885 K((x * y) \ z,x) = K(x \ (y \ z),x). [hyper(255,a,6970,a(flip),b,10879,a(flip)),flip(a)]. 10886 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(255,a,7761,a(flip),b,10883,a(flip))]. 10887 K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [para(1420(a,1),10885(a,1,1,1)),flip(a)]. 10888 K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(4966(a,1),10886(a,1,1,2,1))]. 10891 R(x,y,K(z \ y,z)) = x. [hyper(757,a,10884,a)]. 10893 R(x,y / z,z) = R(x,z \ y,z). [hyper(255,a,10575,a(flip),b,10891,a(flip))]. 10894 R(x,y * z,K(z,y)) = x. [para(18(a,1),10891(a,1,3,1))]. 10895 R(x,y,T(z,y)) = R(x,y,z). [hyper(7345,a,10894,a)]. 10896 (x * (y * z)) * K(z,y) = x * (z * y). [para(10894(a,1),464(a,1,1)),flip(a)]. 10903 R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). [para(7539(a,2),10895(a,1,3))]. 10904 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(10895(a,1),10248(a,2,2))]. 10907 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [hyper(255,a,8711,a(flip),b,10893,a(flip))]. 10908 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(255,a,6373,a(flip),b,10893,a(flip))]. 10911 K(x,L(y,x,z)) = K(x,y). [hyper(7054,a,10896,a)]. 10912 K(L(x,y,z),y) = K(x,y). [hyper(255,a,9096,a,b,10911,a(flip)),flip(a)]. 10914 L(K(x,y),z,y * x) = K(x,y). [hyper(255,a,10774,a(flip),b,10911,a(flip)),flip(a)]. 10915 T(x,L(y,x,z)) = x * K(x,y). [para(10911(a,1),5252(a,2,2))]. 10917 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(10911(a,1),9323(a,1,1))]. 10921 K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [para(448(a,1),10912(a,1,1))]. 10923 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(10914(a,1),10151(a,1,1))]. 10924 T(x,L(y,x,z)) = T(x,y). [hyper(255,a,5252,a,b,10915,a)]. 10927 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(255,a,8065,a(flip),b,10924,a(flip)),flip(a)]. 10928 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(10924(a,1),127(a,1,2))]. 10930 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(448(a,1),10924(a,1,2))]. 10931 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(10924(a,1),7351(a,1,1,2)),flip(a)]. 10935 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(10928(a,1),1426(a,1,2,2))]. 10936 L(x,T(y,x),z) = L(x,y,z). [hyper(255,a,33,a,b,10931,a),flip(a)]. 10938 L(x,y / x,z) = L(x,x \ y,z). [para(129(a,1),10936(a,1,2)),flip(a)]. 10941 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [hyper(255,a,508,a(flip),b,10938,a(flip))]. 10942 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(10938(a,1),7071(a,1,1))]. 10943 K(x \ (y * z),x) = K(y * (x \ z),x). [hyper(6693,a,10866,a),flip(a)]. 10945 K(K(x,y) * (z \ T(y,x)),z) = K(z \ y,z). [para(5207(a,1),10943(a,1,1,2)),flip(a)]. 10946 K((T(x,y) / z) \ x,T(x,y) / z) = K(K(y,x) * z,T(x,y) / z). [para(73(a,1),10945(a,1,1,2)),flip(a)]. 10947 K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(4966(a,1),10881(a,1,2,2,1,2))]. 10948 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(10881(a,1),7046(a,1,1)),flip(a)]. 10949 (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,K(x,y),y * x). [para(10923(a,2),267(a,1,2))]. 10951 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(255,a,9321,a(flip),b,10917,a(flip))]. 10953 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(255,a,10128,a(flip),b,10951,a(flip)),flip(a)]. 10954 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(905(a,1),10951(a,1,1)),flip(a)]. 10956 L(x,K(y,z),z * y) = L(x,z * y,K(y,z)). [hyper(5355,a,10949,a),flip(a)]. 10957 L(x,K(y,z),z * y) != u | L(x,z * y,K(y,z)) = u. [para(10949(a,1),5355(a,1))]. 10958 L(L(x,y,z),K(y,z),z * y) = L(x,T(y,z),z). [hyper(255,a,7264,a(flip),b,10956,a)]. 10960 a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(255,a,10246,a(flip),b,10904,a)]. 10961 a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). [hyper(7303,a,10960,a)]. 10962 a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). [para(45(a,2),10961(a,1,3))]. 10963 (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). [hyper(255,a,2752,a(flip),b,10962,a(flip)),flip(a)]. 10964 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(255,a,7661,a(flip),b,10954,a)]. 10965 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(255,a,615,a(flip),b,10964,a)]. 10966 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(9354,a,10965,a)]. 10968 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(10326,a,10966,a)]. 10969 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = K(L(x,y,z),(u * w) \ v5). [hyper(255,a,7046,a(flip),b,10948,a)]. 10970 K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). [hyper(255,a,9145,a(flip),b,10963,a(flip)),flip(a)]. 10971 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [hyper(10350,a,10921,a)]. 10972 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(255,a,45,a,b,10930,a(flip)),flip(a)]. 10973 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(255,a,10953,a(flip),b,10971,a(flip))]. 10975 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(9728(a,1),10972(a,1,1))]. 10976 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(10927(a,1),10975(a,1,1)),flip(a)]. 10977 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10976(a,1),5546(a,1,2,1))]. 10979 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(255,a,5673,a(flip),b,10977,a(flip))]. 10980 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),x \ u). [para(10979(a,1),9158(a,1,2)),flip(a)]. 10981 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(127(a,1),10935(a,1,1,1))]. 10982 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1841,a,10981,a),flip(a)]. 10983 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(127(a,1),10982(a,1,2))]. 10984 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(8674,a,10983,a),flip(a)]. 10986 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(10984(a,1),7046(a,1,1))]. 10987 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(255,a,7046,a(flip),b,10986,a(flip))]. 10988 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(10987(a,1),10467(a,1,1))]. 10989 L(K(x,x * y),y,z) = K(x,x * y). [para(9107(a,1),10988(a,1,1))]. 10991 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(7521,a,10989,a)]. 10992 K(x,x * ((y * z) \ y)) = K(x,z \ x). [hyper(255,a,10510,a(flip),b,10989,a(flip))]. 10993 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(255,a,10457,a(flip),b,10989,a(flip)),flip(a)]. 10994 K(x,y \ ((y * z) * x)) = K(x,x * z). [hyper(255,a,10456,a(flip),b,10989,a(flip)),flip(a)]. 10995 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(10989(a,2),5394(a,1,2))]. 10999 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(10849,a,10993,a)]. 11001 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(255,a,7701,a(flip),b,10993,a(flip)),flip(a)]. 11002 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1423(a,1),10993(a,1,2))]. 11003 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(10993(a,1),7046(a,1,1))]. 11005 K(x,y \ ((y * z) * x)) = K(x,z * x). [hyper(255,a,5842,a,b,10994,a)]. 11006 L(K(x,y * x),y,z) = K(x,y * x). [hyper(255,a,10458,a,b,11005,a(flip)),flip(a)]. 11008 a(x,y,K(z,y * z)) = 1. [hyper(39,a,11006,a)]. 11009 L(K(x * y,x),y,z) = K(x * y,x). [hyper(6485,a,10995,a)]. 11010 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(255,a,10392,a(flip),b,11009,a(flip)),flip(a)]. 11011 L(K(x * y,y),x,z) = K(y * x,y). [para(5894(a,2),11009(a,1,1))]. 11012 L(K(x * y,y),x,z) = K(x * y,y). [hyper(255,a,5894,a,b,11011,a)]. 11014 K(x \ (y * (x * z)),y) = K(z * y,y). [hyper(255,a,10398,a(flip),b,11012,a(flip)),flip(a)]. 11015 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(10854,a,11010,a)]. 11016 K((x / y) \ z,y) = K(y * (x \ z),y). [hyper(8695,a,11010,a)]. 11017 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(8685,a,11010,a)]. 11018 K(x * ((y * x) \ z),x) = K(y \ z,x). [hyper(8684,a,11010,a),flip(a)]. 11019 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(8039,a,11010,a)]. 11021 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(255,a,7846,a(flip),b,11010,a(flip))]. 11022 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(11010(a,1),5991(a,1,1,1,2))]. 11024 K(x,y \ z) * K(x * (y \ z),x) = a(x,(z \ y) \ 1,x). [para(11010(a,1),9157(a,1,2))]. 11026 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(10991(a,1),5252(a,2,2))]. 11027 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(11015(a,1),5992(a,1,1,1,2))]. 11028 T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). [hyper(255,a,5252,a,b,11026,a)]. 11029 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(255,a,10739,a(flip),b,11028,a(flip)),flip(a)]. 11030 T(x,y \ (z * x)) = T(x,x * (y \ z)). [hyper(255,a,8085,a,b,11029,a(flip)),flip(a)]. 11031 T(x,x * (y \ z)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(11030(a,1),7109(a,1,1))]. 11032 a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. [para(11024(a,1),9180(a,1))]. 11033 L(x,(y \ z) \ 1,x) = L(x,z \ y,x). [hyper(255,a,5707,a(flip),b,11031,a(flip))]. 11034 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(255,a,7046,a(flip),b,11003,a(flip))]. 11035 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(9923,a,11034,a)]. 11036 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(255,a,10837,a(flip),b,11035,a(flip))]. 11037 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(255,a,5991,a(flip),b,11022,a(flip))]. 11038 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(255,a,7041,a,b,11037,a(flip)),flip(a)]. 11039 K(x \ (y * z),T(x,u)) = K(y * (x \ z),T(x,u)). [hyper(255,a,10581,a(flip),b,10867,a(flip))]. 11040 K(x * (y \ 1),T(y,z)) = K(y \ x,T(y,z)). [para(17(a,1),11039(a,1,1,2)),flip(a)]. 11041 K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * ((1 / (x \ y)) \ 1),T(1 / (x \ y),x)). [para(7868(a,1),11040(a,1,2)),flip(a)]. 11042 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(255,a,10973,a(flip),b,10887,a(flip)),flip(a)]. 11043 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(255,a,10968,a(flip),b,11042,a(flip)),flip(a)]. 11044 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(255,a,11017,a(flip),b,11043,a(flip)),flip(a)]. 11045 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [hyper(255,a,10126,a(flip),b,11044,a)]. 11046 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [hyper(8070,a,11045,a)]. 11047 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(255,a,10973,a(flip),b,10888,a(flip)),flip(a)]. 11048 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(255,a,10968,a(flip),b,11047,a(flip)),flip(a)]. 11049 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(255,a,6917,a(flip),b,11048,a(flip)),flip(a)]. 11050 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(8070,a,11049,a)]. 11051 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(255,a,9924,a(flip),b,11050,a)]. 11052 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(59(a,1),11051(a,2,1))]. 11053 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(255,a,11046,a(flip),b,11052,a(flip)),flip(a)]. 11054 K(x * y,L(y,z,u)) * K(L(y,z,u),L(y,z,u) \ (x * L(y,z,u))) = a(L(y,z,u),L(y,z,u) \ (x * L(y,z,u)),L(y,z,u)). [para(11052(a,1),9158(a,1,1))]. 11055 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [hyper(255,a,10126,a,b,11053,a(flip)),flip(a)]. 11056 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [hyper(255,a,9922,a,b,11053,a(flip)),flip(a)]. 11057 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [hyper(255,a,9097,a(flip),b,11053,a(flip))]. 11058 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(255,a,9924,a,b,11056,a(flip)),flip(a)]. 11059 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = a(x,x \ u,L(x,y,z)). [hyper(255,a,10970,a(flip),b,10980,a)]. 11060 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),T(u,x)). [para(37(a,2),10980(a,2,2,2))]. 11061 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(6797,a,11027,a),flip(a)]. 11063 (x \ y) * K((x \ 1) \ (x \ y),y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(19(a,1),9879(a,1,2,2,1))]. 11064 x \ T(y,((x \ 1) \ (x \ y)) \ z) = x \ T(y,y \ z). [hyper(6984,a,11063,a),flip(a)]. 11065 K(x,y \ T(z,z \ x)) = K(x,y \ z). [para(11064(a,1),9022(a,1,2))]. 11066 K(x,y \ ((z \ x) \ x)) = K(x,y \ z). [para(128(a,1),11065(a,1,2,2))]. 11067 K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [hyper(255,a,6605,a(flip),b,11066,a(flip))]. 11068 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(4505(a,1),10193(a,1,2))]. 11069 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(255,a,5986,a(flip),b,11068,a)]. 11070 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(7432(a,1),11069(a,1,1,1,1))]. 11071 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(6457(a,1),11070(a,1,1))]. 11073 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(9612(a,1),11071(a,1,1))]. 11074 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(23,a,10801,a,b,10729,a),flip(a)]. 11075 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2815(a,1),11074(a,1,2,2))]. 11076 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(255,a,8154,a,b,11075,a)]. 11077 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(11075(a,1),8140(a,1,2)),flip(a)]. 11078 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(472(a,1),11076(a,1,2,2))]. 11080 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(5798(a,1),11078(a,1,2)),flip(a)]. 11083 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(8561,a,11080,a)]. 11084 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(8183,a,11080,a)]. 11085 K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). [para(7523(a,1),11080(a,1,2)),flip(a)]. 11087 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(21(a,1),11083(a,2,2,2))]. 11089 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(8136,a,11087,a)]. 11090 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(255,a,8463,a(flip),b,11089,a(flip)),flip(a)]. 11092 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(11090(a,1),9851(a,1,1))]. 11093 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(11090(a,1),10150(a,1,1))]. 11094 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(8154(a,1),11093(a,1,1))]. 11096 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(255,a,9314,a(flip),b,11094,a(flip)),flip(a)]. 11097 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(70(a,1),11096(a,1,2,2,2))]. 11098 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(8180,a,11092,a)]. 11099 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(70(a,1),11092(a,1,2)),flip(a)]. 11101 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(8099(a,1),11098(a,1,1))]. 11102 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(8138(a,1),11099(a,2,1))]. 11103 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(9853,a,11101,a)]. 11104 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [para(11102(a,1),73(a,1,1))]. 11105 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(255,a,5345,a,b,11104,a(flip)),flip(a)]. 11106 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(39,a,11105,a)]. 11107 a(K(x * y,K(z,u)),x,y) = 1. [para(18(a,1),11106(a,1,3))]. 11108 a(K(K(x,y),z),u,u \ z) = 1. [para(6092(a,2),11106(a,1,1))]. 11109 a(K(x,K(y,z * u)),z,u) = 1. [para(8099(a,1),11107(a,1,1))]. 11110 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(255,a,8178,a,b,11108,a)]. 11111 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(255,a,8105,a(flip),b,11077,a)]. 11112 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(255,a,9631,a(flip),b,11111,a(flip)),flip(a)]. 11113 K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). [para(7542(a,1),11085(a,1,2))]. 11114 T(x,K(y,z * (x \ 1))) = T(x,K(y,x \ z)). [hyper(7565,a,11112,a)]. 11117 T(x,K(y,z * (x \ 1))) = T(x,K(y,z)). [hyper(255,a,8387,a(flip),b,11114,a)]. 11118 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [para(5798(a,1),11117(a,1,2))]. 11119 T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(11118(a,1),5407(a,1,1))]. 11126 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(11097(a,1),11110(a,2,2))]. 11131 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(8138(a,2),11126(a,2,2))]. 11132 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(6092(a,1),11131(a,1,1))]. 11133 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [hyper(255,a,6673,a(flip),b,10828,a)]. 11134 ((x * (K(y,z) * R(z,u,w))) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(6807(a,1),11133(a,1,1,1))]. 11135 R((x * (K(y,z) * z)) / (x * K(y,z)),u,w) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(2143(a,2),11134(a,1,1))]. 11136 R((x * (y * K(z,y))) / (x * K(z,y)),u,w) * x = (x * (K(z,y) * R(y,u,w))) * K(y,z). [para(3141(a,1),11135(a,1,1,1,1,2))]. 11137 R((x * y) / x,z,u) * x = (x * (K(w,y) * R(y,z,u))) * K(y,w). [para(9515(a,1),11136(a,1,1,1))]. 11138 (x * (K(y,z) * R(z,u,w))) * K(z,y) = x * R(z,u,w). [hyper(807,a,11137,a),flip(a)]. 11140 (x * (R(y,z,u) * K(w,y))) * K(y,w) = x * R(y,z,u). [para(3146(a,2),11138(a,1,1,2))]. 11141 L(K(x,y),R(x,z,u),w) = K(x,y). [hyper(7085,a,11140,a)]. 11142 K(x,(y \ 1) * R(x,z,u)) = K(x,y \ R(x,z,u)). [hyper(255,a,7018,a(flip),b,11141,a(flip)),flip(a)]. 11143 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [hyper(255,a,8053,a,b,11142,a(flip)),flip(a)]. 11154 (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(3936(a,1),4987(a,1,1,2))]. 11155 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,z,K(y,y \ 1) * u). [para(4955(a,2),5100(a,1,1,1,2))]. 11156 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(8138(a,1),6866(a,1,2,2))]. 11157 x \ (R(x,y,x) * T(x * (R(x,y,x) \ K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(1307(a,1),6891(a,1,2,2,1))]. 11158 L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(9284(a,1),7253(a,1,1))]. 11159 K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). [hyper(7305,a,11158,a),flip(a)]. 11160 K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2374(a,1),11159(a,1,2,1,2))]. 11161 K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). [hyper(255,a,10845,a(flip),b,11160,a(flip)),flip(a)]. 11162 K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). [hyper(255,a,7268,a(flip),b,11161,a(flip))]. 11163 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). [para(5988(a,1),11162(a,1,2,1)),flip(a)]. 11164 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,x * y)). [para(8154(a,1),10399(a,2,2))]. 11165 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [hyper(5934,a,10794,a)]. 11166 (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(3936(a,1),11154(a,1,2))]. 11167 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(4994(a,1),11155(a,1,1))]. 11168 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x * y,T(x,z)) \ 1,K(x * y,x),y). [para(7539(a,2),11156(a,2,1,1))]. 11169 x \ (R(x,y,x) * T(x * (T(x,y) \ 1),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(6389(a,1),11157(a,1,2,2,1,2))]. 11170 x \ (R(x,y,x) * T(K(y,x),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(5184(a,2),11169(a,1,2,2,1))]. 11171 x \ (R(x,y,x) * K(y,T(x,z))) = (x \ R(x,y,x)) * T(K(y,x),z). [para(7539(a,2),11170(a,1,2,2))]. 11172 (x \ R(x,y,x)) * T(K(y,x),z) = R(x,y,x) * (x \ K(y,T(x,z))). [hyper(1316,a,11171,a),flip(a)]. 11173 (x \ R(x,y,x)) * T(K(y,x),z) = T(x,T(y,z)) \ R(x,y,x). [hyper(255,a,7785,a(flip),b,11172,a)]. 11174 K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). [hyper(255,a,8942,a(flip),b,11173,a(flip)),flip(a)]. 11175 T(x,T(y,z)) \ R(x,y,x) = K(y * x,T(x,z)). [hyper(8691,a,11174,a),flip(a)]. 11176 K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). [hyper(255,a,9165,a(flip),b,11175,a(flip)),flip(a)]. 11177 K(x / y,z) * a(z,y \ x,z) = K((y \ x) * z,T(z,y)). [para(8254(a,1),11176(a,1,1))]. 11178 K(x * y,T(y,z)) \ (K(x,T(y,z)) * y) = L(y,x,y). [para(11176(a,1),9370(a,1,1))]. 11179 K(x * y,T(y,z)) \ (y * K(x,T(y,z))) = L(y,x,y). [para(7613(a,1),11178(a,1,2))]. 11180 K(x,T(y * x,z)) * (x * K(y,T(x,z))) = L(x,y,x). [hyper(7600,a,11179,a)]. 11181 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,y,x). [hyper(5634,a,11180,a)]. 11182 L(x,T(y \ 1,z) \ 1,x) = L(x,y,x). [hyper(255,a,10664,a(flip),b,11181,a(flip)),flip(a)]. 11184 L(x,T(y,z) \ 1,x) = L(x,y \ 1,x). [hyper(255,a,10659,a(flip),b,11182,a(flip)),flip(a)]. 11185 L(x,(y / z) \ 1,x) = L(x,(z \ y) \ 1,x). [para(129(a,1),11184(a,1,2,1)),flip(a)]. 11186 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [hyper(255,a,11033,a(flip),b,11185,a)]. 11187 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(19(a,2),11186(a,1,2))]. 11188 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,y)). [para(8131(a,1),11164(a,2,2))]. 11189 K(x \ (y * (x * z)),y) * K(x,K(y,z)) = L(K(y * z,T(y,x)),z,x). [para(8187(a,1),11188(a,1,1)),flip(a)]. 11190 K(x \ (y * (x * z)),y) * K(x,K(y,z)) = K((x / (x * z)) \ y,y). [hyper(255,a,10537,a(flip),b,11189,a)]. 11191 K((x / (x * y)) \ z,z) = K(y * z,z) * K(x,K(z,y)). [para(11014(a,1),11190(a,1,1)),flip(a)]. 11192 K((x / (x * y)) \ z,z) = K(z * y,z) * K(x,K(z,y)). [para(5894(a,1),11191(a,2,1))]. 11194 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(255,a,8191,a(flip),b,11192,a)]. 11195 K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). [para(19(a,1),11194(a,1,1,1,2)),flip(a)]. 11196 K((x \ y) * z,T(z,x)) = K((x / y) \ z,z). [hyper(255,a,6408,a,b,11195,a(flip)),flip(a)]. 11197 K(x / y,z) * a(z,y \ x,z) = K((y / x) \ z,z). [hyper(255,a,11177,a,b,11196,a(flip)),flip(a)]. 11198 K(x,y / z) * K((z / y) \ x,x) = a(x,z \ y,x). [hyper(5622,a,11197,a)]. 11199 T(x,(y / z) \ x) \ T(x,z / y) = a(x,y \ z,x). [hyper(255,a,5865,a,b,11198,a(flip)),flip(a)]. 11200 T(x,(y / z) \ x) \ T(x,(y / z) \ 1) = a(x,y \ z,x). [para(4661(a,2),11199(a,1,2))]. 11201 T(x,(y / z) \ x) \ T(x,x \ ((y / z) \ x)) = a(x,y \ z,x). [para(4409(a,2),11200(a,1,2))]. 11202 T(x,(y / z) \ x) \ ((x \ ((y / z) \ x)) \ ((y / z) \ x)) = a(x,y \ z,x). [hyper(255,a,381,a(flip),b,11201,a(flip)),flip(a)]. 11203 a(x,(y / z) \ 1,x) = a(x,y \ z,x). [hyper(255,a,9194,a(flip),b,11202,a(flip)),flip(a)]. 11204 a(x,(y * z) \ z,x) = a(x,y \ 1,x). [para(20(a,1),11203(a,1,2,1)),flip(a)]. 11206 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [hyper(8657,a,11165,a)]. 11207 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(4997,a,11166,a)]. 11208 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(29(a,2),11167(a,1,1,1))]. 11209 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [hyper(6675,a,11208,a)]. 11211 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(255,a,5100,a,b,11209,a(flip)),flip(a)]. 11214 a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). [para(4990(a,1),11209(a,1,3))]. 11216 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(2247(a,1),11211(a,1,1,1,2,2))]. 11217 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x,T(x * y,z)),K(x * y,x),y). [para(7575(a,1),11168(a,2,1))]. 11218 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). [hyper(255,a,9204,a(flip),b,11217,a)]. 11221 K(x,T(y / z,y) \ y) \ (K(x,z) * K(y,K(u,y * K(x,z)))) = K(y,T(y * K(x,z),u)). [para(7224(a,2),11218(a,1,1))]. 11222 K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). [para(7996(a,1),11221(a,1,2,2))]. 11223 K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). [para(17(a,1),11222(a,1,2))]. 11224 K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). [hyper(5623,a,11223,a)]. 11225 K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). [para(7225(a,1),11224(a,1,1))]. 11226 K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). [hyper(255,a,8028,a(flip),b,11225,a)]. 11227 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(255,a,7360,a(flip),b,11226,a(flip)),flip(a)]. 11228 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(11227(a,1),6171(a,1,1,1,2))]. 11229 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(5252(a,2),11228(a,1,1,1))]. 11230 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(6800,a,11229,a)]. 11231 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(11230(a,1),10755(a,1,1))]. 11232 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10853(a,1),11231(a,1,1,2,2))]. 11233 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(4994(a,1),11207(a,1,1))]. 11234 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(29(a,2),11233(a,1,1,1))]. 11235 a(x,K(y,y \ 1) * z,u) = a(x,z,u). [hyper(6675,a,11234,a)]. 11238 a(x,(y \ 1) \ 1,z) = a(x,y,z). [para(1456(a,1),11235(a,1,2))]. 11239 a(x,y * K(z,z \ 1),u) = a(x,y,u). [para(2247(a,1),11235(a,1,2))]. 11240 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5557(a,1),5597(a,1,1))]. 11241 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(11240(a,1),9537(a,1,2,2))]. 11242 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1). [para(9765(a,1),6368(a,1,1))]. 11243 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u). [para(6366(a,1),11242(a,2,2))]. 11244 R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). [para(7910(a,1),11243(a,1,1,1))]. 11245 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [para(11244(a,1),70(a,1,2))]. 11247 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [hyper(255,a,9767,a(flip),b,11245,a(flip)),flip(a)]. 11248 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(6418(a,1),11247(a,1,1))]. 11249 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7539(a,2),11248(a,2,1))]. 11250 ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). [para(8598(a,1),11249(a,2,1))]. 11251 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(255,a,4907,a(flip),b,7179,a)]. 11252 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(255,a,1438,a(flip),b,11251,a)]. 11253 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(1439(a,1),11252(a,1,2))]. 11254 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(80,a,5144,a(flip),b,11253,a)]. 11255 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). [hyper(255,a,7628,a(flip),b,7232,a)]. 11256 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(279(a,1),11255(a,2,1,2))]. 11257 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1840(a,1),11256(a,1,2)),flip(a)]. 11258 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(255,a,7051,a(flip),b,11257,a(flip)),flip(a)]. 11259 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(255,a,7032,a(flip),b,11257,a(flip))]. 11260 (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(5220(a,1),9036(a,1,1))]. 11261 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(636,a,11260,a),flip(a)]. 11262 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(11260(a,1),636(a,1))]. 11263 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5536(a,1),11261(a,1,2)),flip(a)]. 11264 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(5600(a,1),9201(a,1,1,1))]. 11265 (K(x,T(y,z)) * K(y,T(u,z))) \ 1 = (K(y,u) * K(x,y)) \ K(K(y,u) * K(x,y),z * K(u,y)). [para(10299(a,1),9209(a,1,1))]. 11266 x / T((K(y,z) * K(u,y)) * x,K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. [para(16(a,1),9216(a,1,2,1,1))]. 11267 x / T(K(y,z) * (K(u,y) * x),K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. [para(10270(a,1),11266(a,1,2,1))]. 11268 T(x,L(T(T(y * z,z) / y,y * K(z,y * z)),u,w)) = T(x,L((y * z) / y,u,w)). [para(10833(a,1),9889(a,1,2,1,2))]. 11269 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(21(a,1),9966(a,2,1))]. 11270 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [hyper(255,a,6741,a(flip),b,11269,a),flip(a)]. 11279 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). [para(10289(a,1),10291(a,2,2,1,1))]. 11280 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5381(a,1),11279(a,2,2,1))]. 11282 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5381(a,1),11280(a,1,1,2,1))]. 11283 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(255,a,5620,a(flip),b,11282,a(flip)),flip(a)]. 11284 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). [para(11282(a,1),453(a,1,1,1)),flip(a)]. 11285 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). [para(11282(a,2),10198(a,1,1))]. 11287 R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(8100(a,1),11285(a,1,1,1,2,1))]. 11288 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(73(a,1),10633(a,2,2,2,1,1,2))]. 11289 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(73(a,1),11288(a,1,2))]. 11290 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(11289(a,1),10323(a,1,1))]. 11291 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(255,a,7193,a(flip),b,11290,a(flip)),flip(a)]. 11292 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(10784,a,11291,a),flip(a)]. 11293 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(127(a,1),11291(a,1,2,2)),flip(a)]. 11294 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(10171,a,11292,a),flip(a)]. 11295 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(255,a,9243,a(flip),b,11292,a(flip)),flip(a)]. 11296 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(11295(a,1),5252(a,2,2)),flip(a)]. 11297 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(19(a,1),11294(a,1,2,2,2)),flip(a)]. 11298 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(35(a,2),11297(a,2,2))]. 11300 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(10163,a,11298,a)]. 11301 K(x,R(y,x,z)) = K(x,y). [hyper(255,a,10914,a(flip),b,11298,a(flip))]. 11303 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(255,a,9615,a,b,11301,a(flip)),flip(a)]. 11304 K(R(x,y,z),y) = K(x,y). [hyper(255,a,9493,a,b,11301,a(flip)),flip(a)]. 11305 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(255,a,9861,a(flip),b,11301,a(flip)),flip(a)]. 11306 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(255,a,6377,a(flip),b,11301,a(flip)),flip(a)]. 11307 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(51(a,1),11301(a,1,2))]. 11310 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(255,a,11304,a,b,11304,a)]. 11315 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(11310(a,1),9496(a,1,2)),flip(a)]. 11317 K(x / (y * z),y) = K(y \ (x / z),y). [hyper(6509,a,11306,a)]. 11318 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(10784,a,11305,a)]. 11320 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(255,a,8722,a,b,11305,a(flip)),flip(a)]. 11321 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [hyper(255,a,11291,a(flip),b,11305,a(flip)),flip(a)]. 11322 T(x,R(y,x,z)) = T(x,y). [hyper(255,a,7445,a(flip),b,11315,a)]. 11324 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(481(a,1),11322(a,1,2))]. 11325 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(255,a,8881,a,b,11317,a(flip)),flip(a)]. 11326 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(11318(a,1),11296(a,1,2))]. 11327 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(18(a,1),11320(a,1,2,1)),flip(a)]. 11328 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(11325(a,1),7626(a,1,1))]. 11330 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(255,a,6384,a,b,11307,a(flip)),flip(a)]. 11331 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(11300(a,1),462(a,1,1))]. 11333 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(255,a,9244,a(flip),b,11321,a(flip))]. 11334 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7651,a,11328,a)]. 11335 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(255,a,9474,a(flip),b,11334,a(flip)),flip(a)]. 11336 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(11335(a,1),6670(a,1,1,2)),flip(a)]. 11337 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(255,a,11327,a(flip),b,11333,a(flip))]. 11338 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(11337(a,1),6392(a,1))]. 11339 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(5255,a,11326,a),flip(a)]. 11340 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(255,a,6670,a(flip),b,11336,a)]. 11341 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(7899,a,11340,a)]. 11342 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(70(a,1),11341(a,1,2,1,2)),flip(a)]. 11343 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(255,a,8662,a,b,11342,a(flip)),flip(a)]. 11344 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(11301(a,1),11330(a,1,1))]. 11346 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(255,a,7132,a(flip),b,11331,a(flip))]. 11347 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(5340(a,1),11346(a,2,1))]. 11348 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(255,a,9300,a(flip),b,11347,a(flip)),flip(a)]. 11350 L(x,K(y,z),z * y) = x. [hyper(749,a,11348,a)]. 11354 L(x,y * z,K(z,y)) = x. [hyper(10957,a,11350,a)]. 11357 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(255,a,10305,a(flip),b,11354,a(flip)),flip(a)]. 11358 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(255,a,7263,a(flip),b,11354,a(flip))]. 11366 L(x,y,T(z,y)) = L(x,y,z). [para(5266(a,1),11357(a,1,3)),flip(a)]. 11368 L(x,y \ z,(y \ z) \ z) = L(x,y \ z,y). [hyper(255,a,1978,a(flip),b,11366,a(flip)),flip(a)]. 11372 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [para(11358(a,2),70(a,1,2))]. 11374 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(255,a,47,a,b,11324,a(flip)),flip(a)]. 11375 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4887(a,1),11343(a,2,2))]. 11376 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(255,a,4463,a(flip),b,11374,a)]. 11377 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(255,a,8873,a(flip),b,11375,a)]. 11378 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(255,a,8535,a(flip),b,11377,a)]. 11379 K(x,x \ T(y,z)) = K(x,T(x \ y,z)). [hyper(255,a,10911,a(flip),b,11378,a(flip)),flip(a)]. 11381 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(255,a,10637,a,b,11379,a(flip)),flip(a)]. 11383 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(11381(a,1),5263(a,2,1)),flip(a)]. 11384 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(255,a,9596,a(flip),b,11383,a(flip))]. 11385 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(11384(a,2),6082(a,1,2))]. 11386 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(225,a,11385,a)]. 11387 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(11386(a,1),10549(a,1,1))]. 11388 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(11387(a,1),11270(a,1,1)),flip(a)]. 11389 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [hyper(255,a,9425,a(flip),b,11388,a)]. 11390 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [hyper(255,a,5433,a(flip),b,11389,a(flip))]. 11391 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(20(a,1),11390(a,2,1))]. 11392 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(37(a,2),11391(a,1,3))]. 11393 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(11392(a,1),5350(a,1,2))]. 11394 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [hyper(255,a,9964,a(flip),b,11393,a(flip))]. 11395 (K(x * y,z) * y) * T(x,y) != x * u | y * K(x * y,z) = u. [para(11394(a,2),24(a,1))]. 11396 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(255,a,47,a,b,11376,a)]. 11397 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(11339(a,1),11396(a,1,1))]. 11398 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(20(a,1),11397(a,1,1,2,2)),flip(a)]. 11399 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(6165,a,11398,a),flip(a)]. 11400 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(11398(a,1),5674(a,1,2,1))]. 11401 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(255,a,1069,a(flip),b,11399,a(flip)),flip(a)]. 11402 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(18(a,1),11399(a,1,1,2)),flip(a)]. 11403 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(564(a,1),11399(a,1,1)),flip(a)]. 11407 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5995(a,1),11401(a,2,1))]. 11409 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(11403(a,1),7271(a,1,2,1)),flip(a)]. 11410 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1306(a,1),11402(a,1,1)),flip(a)]. 11411 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(255,a,179,a(flip),b,11410,a)]. 11412 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(47(a,2),11411(a,2,1))]. 11413 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(255,a,545,a(flip),b,11412,a)]. 11414 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(11413(a,1),5196(a,1,1))]. 11415 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(5486,a,11414,a),flip(a)]. 11416 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(8070,a,11415,a)]. 11417 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(255,a,10136,a,b,11416,a)]. 11418 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(6459,a,11400,a),flip(a)]. 11421 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(11418(a,1),5169(a,1,1,2))]. 11422 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(255,a,7542,a(flip),b,11293,a)]. 11423 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(255,a,7155,a(flip),b,11407,a)]. 11424 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(7153(a,1),11423(a,1,1)),flip(a)]. 11425 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(11424(a,1),10073(a,1,2))]. 11426 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5986(a,1),11421(a,1,1))]. 11427 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(255,a,47,a,b,11426,a(flip)),flip(a)]. 11428 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(5169(a,1),11427(a,1,1)),flip(a)]. 11429 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(255,a,49,a(flip),b,11428,a)]. 11430 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(11429(a,1),1373(a,1,1,1)),flip(a)]. 11431 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(255,a,7935,a(flip),b,11422,a)]. 11432 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(7899,a,11431,a)]. 11433 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(255,a,10839,a(flip),b,11432,a(flip)),flip(a)]. 11435 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(255,a,9460,a(flip),b,11433,a(flip)),flip(a)]. 11436 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(255,a,8932,a(flip),b,11435,a(flip))]. 11446 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(60(a,1),11436(a,1,2,2))]. 11463 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(255,a,10979,a(flip),b,10947,a(flip)),flip(a)]. 11464 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(255,a,10969,a(flip),b,11463,a(flip)),flip(a)]. 11465 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(255,a,10999,a(flip),b,11464,a(flip)),flip(a)]. 11466 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(17(a,1),11465(a,1,2,2,1))]. 11467 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(255,a,6042,a(flip),b,11466,a)]. 11468 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(255,a,11061,a(flip),b,11467,a)]. 11469 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(17(a,1),11468(a,2,2,2,1))]. 11470 K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * (x \ y),T(1 / (x \ y),x)). [para(73(a,1),11041(a,2,1,2))]. 11471 K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * (x \ y),x / y). [hyper(255,a,8411,a(flip),b,11470,a)]. 11473 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(7587(a,1),11060(a,2,2))]. 11474 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (y \ 1))) \ u). [hyper(255,a,6043,a(flip),b,11163,a)]. 11475 (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). [para(4722(a,1),11250(a,1,1))]. 11476 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2532(a,1),11264(a,1,1,2)),flip(a)]. 11477 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(6687(a,1),11476(a,2,1))]. 11478 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(255,a,9257,a,b,11477,a)]. 11479 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2535(a,1),11478(a,1,1,1))]. 11480 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5600(a,1),11479(a,1,1))]. 11481 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(255,a,10315,a(flip),b,11480,a(flip))]. 11482 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(8195(a,1),11481(a,1,1)),flip(a)]. 11483 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(T(y,u),x) * 1). [hyper(255,a,10293,a(flip),b,11265,a(flip))]. 11484 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(4710(a,1),11425(a,1,2,1)),flip(a)]. 11485 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(70(a,1),11474(a,2,2,1,2))]. 11486 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(6580(a,1),11485(a,1,2,1,1,2,1))]. 11487 K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). [hyper(255,a,10855,a(flip),b,11486,a(flip))]. 11488 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). [para(8235(a,1),11475(a,1,1,2))]. 11489 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(9013,a,11488,a),flip(a)]. 11490 R(K(x,y),L(y,z,u),w) = K(x,y). [para(9050(a,1),11489(a,1,1))]. 11491 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(255,a,7214,a(flip),b,11490,a(flip)),flip(a)]. 11493 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(255,a,6864,a(flip),b,11491,a)]. 11494 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(255,a,10800,a,b,11493,a(flip)),flip(a)]. 11495 K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. [para(11494(a,1),8566(a,1))]. 11496 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(y,T(x,u)) * 1). [para(7542(a,1),11483(a,2,2,1))]. 11497 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * K(y,T(x,u)). [para(17(a,1),11496(a,2,2))]. 11498 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (K(x,x \ y) * T(y,z)). [para(5221(a,1),6968(a,2,2))]. 11499 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = K(y,z). [hyper(255,a,6627,a(flip),b,11498,a)]. 11501 L(K((x \ 1) \ (x \ y),z),y / x,x) = K(y,z). [hyper(255,a,4782,a(flip),b,11499,a(flip)),flip(a)]. 11502 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(6798,a,8964,a),flip(a)]. 11503 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). [para(5428(a,1),11502(a,1,2)),flip(a)]. 11504 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(1943(a,2),9178(a,1,2,2))]. 11505 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(20(a,1),10110(a,1,1,1)),flip(a)]. 11507 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(10296(a,1),11505(a,1,2,1)),flip(a)]. 11509 ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(11507(a,1),6199(a,1,2,2))]. 11510 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(5564(a,1),11509(a,1,2)),flip(a)]. 11511 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(255,a,5551,a(flip),b,11510,a)]. 11513 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(255,a,5608,a(flip),b,11511,a)]. 11515 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(6198(a,1),11513(a,1,2))]. 11517 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). [hyper(255,a,1373,a(flip),b,11430,a)]. 11518 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(47(a,2),11517(a,2,3))]. 11519 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(112(a,1),11504(a,1,2)),flip(a)]. 11520 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3862(a,2),4042(a,1,1))]. 11521 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((y * x) \ x) \ 1,z,u). [para(6062(a,1),6066(a,2,2,1,1))]. 11522 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(x \ (y * x),z,u)). [hyper(255,a,1907,a(flip),b,11521,a)]. 11523 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(T(y,x),z,u)). [para(37(a,2),11522(a,2,2,2,1))]. 11524 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (R(y,z,u) * x). [para(184(a,1),11523(a,2,2))]. 11525 (x * y) \ (T(x,y) * R(T(y,x),z,u)) = (y * x) \ (R(y,z,u) * x). [para(4449(a,1),11524(a,1,2,2,1))]. 11526 (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). [para(4469(a,1),11525(a,1,2))]. 11527 ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). [para(122(a,1),11526(a,2,2))]. 11528 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1150(a,1),6291(a,2,1))]. 11529 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(255,a,11528,a(flip),b,6292,a(flip))]. 11530 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1150(a,1),11529(a,1,1)),flip(a)]. 11531 K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). [para(11530(a,1),11103(a,1,1,1,1))]. 11532 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5563(a,2),11531(a,1,1))]. 11533 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(8342,a,11532,a)]. 11534 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(255,a,11084,a(flip),b,11533,a(flip)),flip(a)]. 11535 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(21(a,1),11534(a,1,2,2)),flip(a)]. 11536 K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. [para(11535(a,1),8122(a,1))]. 11543 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(255,a,10174,a(flip),b,7383,a(flip))]. 11545 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(x,y) * (K(z,x) * u)) / (1 * (K(x,y) * K(z,x)))). [para(16(a,2),10276(a,2,2,2))]. 11546 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). [hyper(255,a,11001,a(flip),b,10789,a(flip))]. 11547 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). [hyper(255,a,11469,a(flip),b,11546,a)]. 11548 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(255,a,11036,a(flip),b,11547,a)]. 11550 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2663(a,1),11548(a,1,2))]. 11551 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(11550(a,1),6670(a,1,1,2)),flip(a)]. 11552 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(255,a,6670,a(flip),b,11551,a)]. 11553 T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11552(a,1),6916(a,1,1,2))]. 11554 T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11038(a,1),11553(a,1,1,2))]. 11555 T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(59(a,1),11554(a,1,1,2,1,2))]. 11556 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5984(a,1),11555(a,1,1))]. 11557 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(255,a,45,a,b,11556,a(flip)),flip(a)]. 11558 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5820(a,1),11557(a,1,1)),flip(a)]. 11559 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4626,a,11558,a)]. 11560 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(11559(a,1),428(a,1,2))]. 11561 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(11559(a,1),7483(a,1,2))]. 11562 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10768(a,1),11561(a,1))]. 11563 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(415,a,11560,a),flip(a)]. 11564 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(317,a,11563,a),flip(a)]. 11566 (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(11563(a,1),10631(a,1,1,2))]. 11567 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(255,a,5430,a,b,11564,a),flip(a)]. 11570 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). [para(11564(a,1),10234(a,1,2,2)),flip(a)]. 11571 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). [para(11417(a,1),11567(a,1,1,2))]. 11572 K(x * L(y,z,u),y) = K(y * x,y). [hyper(255,a,7676,a(flip),b,11570,a)]. 11574 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [hyper(255,a,9167,a,b,11572,a)]. 11575 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(255,a,11258,a(flip),b,11572,a(flip)),flip(a)]. 11576 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(255,a,8057,a(flip),b,11572,a(flip))]. 11578 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(255,a,11021,a(flip),b,11576,a(flip)),flip(a)]. 11579 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(8567,a,11578,a)]. 11581 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(255,a,5734,a(flip),b,11575,a)]. 11582 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(11495,a,11581,a)]. 11583 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(255,a,11259,a(flip),b,11581,a(flip)),flip(a)]. 11584 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(11581(a,1),9881(a,1,1,2))]. 11585 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(10250,a,11574,a)]. 11586 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(11585(a,2),10064(a,2,2))]. 11589 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(255,a,11019,a(flip),b,11583,a)]. 11590 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,v5,v6)). [para(11564(a,2),11586(a,1,2))]. 11591 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(112(a,1),11589(a,1,1,2))]. 11592 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(8697,a,11591,a)]. 11593 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [hyper(255,a,8909,a(flip),b,11591,a(flip)),flip(a)]. 11594 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [hyper(255,a,11057,a,b,11593,a(flip)),flip(a)]. 11596 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(255,a,11018,a(flip),b,11592,a)]. 11597 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(255,a,10001,a(flip),b,11596,a(flip)),flip(a)]. 11598 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(33(a,2),11597(a,2,1))]. 11599 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(11562,a,11598,a),flip(a)]. 11600 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(10942,a,11599,a)]. 11603 K(x,(y * ((y \ z) / u)) \ z) = K(x,L(u,y \ z,y)). [hyper(7306,a,11600,a)]. 11604 K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). [hyper(255,a,5381,a,b,11600,a),flip(a)]. 11605 K((x \ 1) \ (x \ y),L(z,y / x,x)) = K(y,z). [hyper(255,a,11501,a(flip),b,11600,a(flip))]. 11606 K(x,L(y,K(z,u),u * z)) = K(x,y). [hyper(255,a,11350,a(flip),b,11600,a(flip))]. 11607 K(x \ y,L(z,y,y \ 1)) = K(((y \ 1) * x) \ 1,z). [hyper(255,a,7031,a(flip),b,11600,a(flip))]. 11611 K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11600(a,1),1434(a,1,2,1))]. 11614 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). [para(11600(a,1),9938(a,1,2))]. 11615 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(11600(a,1),9941(a,1,2))]. 11616 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(11600(a,1),9943(a,1,1))]. 11617 K(x,L(y,z,u)) * a(u,z,K(x,y)) = K(x,y). [para(11600(a,1),9953(a,1,1))]. 11618 ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). [para(11600(a,1),9947(a,1,2))]. 11621 K(x,L(y,T(z,u),u)) = K(x,L(y,z,u)). [para(10958(a,1),11606(a,1,2))]. 11622 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(11604(a,1),5384(a,1))]. 11624 K(x,L(y,z / u,u)) = K(x,L(y,u \ z,u)). [para(129(a,1),11621(a,1,2,2)),flip(a)]. 11626 K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. [para(7006(a,2),11622(a,1))]. 11630 K(L(x,y,z),u) * a(z,y,K(x,u)) = K(x,u). [para(11614(a,1),5626(a,1,2))]. 11631 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(11614(a,1),5545(a,1,2)),flip(a)]. 11633 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [hyper(6674,a,11615,a)]. 11637 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(23,a,11617,a,b,11630,a)]. 11641 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(437(a,1),11637(a,1,1)),flip(a)]. 11642 (x / y) * K(z,L(y,u,w)) = x / T(y,L(z,u,w)). [para(11637(a,1),6718(a,1,2))]. 11644 K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). [para(11637(a,1),9956(a,1,1))]. 11647 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(255,a,9949,a(flip),b,11633,a(flip)),flip(a)]. 11649 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(11647(a,1),10089(a,2,2))]. 11656 K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). [para(437(a,1),11641(a,1,2))]. 11658 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(23,a,11616,a,b,11644,a),flip(a)]. 11659 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(19(a,1),11658(a,1,2,2))]. 11660 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(10941(a,1),11659(a,2,2))]. 11661 K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). [para(19(a,1),11656(a,1,2)),flip(a)]. 11662 K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). [para(19(a,1),11661(a,1,1)),flip(a)]. 11663 K(x,(y \ 1) \ (y \ L(z,x / y,y))) = K(x,z). [hyper(255,a,11605,a(flip),b,11662,a(flip))]. 11664 K(x,L((y \ 1) \ (y \ z),x / y,y)) = K(x,z). [para(1871(a,2),11663(a,1,2))]. 11665 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K(x,z). [hyper(255,a,11624,a(flip),b,11664,a(flip)),flip(a)]. 11666 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(255,a,9791,a(flip),b,11603,a(flip))]. 11667 K(x,(y \ 1) \ (y \ L(z,y \ x,(y \ x) \ 1))) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(255,a,11662,a(flip),b,11607,a(flip)),flip(a)]. 11672 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [hyper(255,a,11642,a(flip),b,11618,a(flip)),flip(a)]. 11673 (x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(4669(a,1),11672(a,1,1))]. 11674 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(11649(a,1),9722(a,2,2))]. 11677 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(255,a,11058,a(flip),b,11666,a(flip)),flip(a)]. 11680 L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). [hyper(255,a,10076,a(flip),b,11566,a(flip)),flip(a)]. 11683 a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). [para(21(a,1),11680(a,1,2)),flip(a)]. 11684 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(6129(a,1),11584(a,1,1,2)),flip(a)]. 11685 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(255,a,6663,a(flip),b,11684,a)]. 11686 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1419(a,1),11685(a,1,1))]. 11687 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(11686(a,1),10119(a,2,2))]. 11688 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(255,a,6712,a(flip),b,11687,a)]. 11689 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5986(a,1),11571(a,1,1))]. 11690 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5894(a,1),11689(a,1,1,1,2))]. 11691 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(255,a,47,a,b,11690,a(flip)),flip(a)]. 11692 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5820(a,1),11691(a,1,1)),flip(a)]. 11693 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(255,a,11564,a(flip),b,11692,a(flip)),flip(a)]. 11694 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(11692(a,1),11590(a,1,2))]. 11695 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(11693(a,1),461(a,1,1)),flip(a)]. 11696 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(255,a,122,a(flip),b,11695,a)]. 11697 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10543(a,1),11696(a,1,1,1)),flip(a)]. 11698 K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(5600(a,1),11611(a,1,2))]. 11699 K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11637(a,1),11698(a,1,2,1))]. 11700 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(5272(a,1),11699(a,1,2))]. 11701 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(11631(a,1),11700(a,1,2)),flip(a)]. 11702 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [hyper(255,a,11055,a(flip),b,11660,a(flip))]. 11703 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(11688(a,1),11674(a,1,2))]. 11704 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(255,a,7844,a(flip),b,11703,a(flip))]. 11705 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [para(11637(a,1),11704(a,2,1))]. 11706 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(255,a,11616,a(flip),b,11705,a)]. 11707 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(222,a,11706,a),flip(a)]. 11709 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(18(a,1),11707(a,1,3,1)),flip(a)]. 11710 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(5375(a,1),11707(a,1,3)),flip(a)]. 11711 a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). [para(5377(a,1),11707(a,1,3)),flip(a)]. 11712 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). [para(6009(a,1),11707(a,1,3))]. 11713 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(11709(a,2),10207(a,1,1))]. 11714 a(x,y,K(x * z,z)) = 1. [hyper(255,a,7426,a(flip),b,11710,a)]. 11715 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). [para(11710(a,1),11701(a,2,2,2))]. 11716 L(K(x * y,y),z,x) = K(x * y,y). [hyper(38,a,11714,a)]. 11717 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(11716(a,1),7561(a,2,1))]. 11718 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(10209,a,11713,a)]. 11719 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(19(a,1),11718(a,1,3,2)),flip(a)]. 11720 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [hyper(255,a,11711,a,b,11719,a(flip)),flip(a)]. 11721 a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). [para(5584(a,1),11720(a,1,3)),flip(a)]. 11722 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(255,a,11712,a,b,11721,a(flip)),flip(a)]. 11723 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(6707(a,1),11722(a,1,3))]. 11724 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(8654(a,1),11717(a,1,2,2))]. 11725 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [para(7559(a,1),11724(a,1,2)),flip(a)]. 11726 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(255,a,9810,a(flip),b,11725,a(flip))]. 11727 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(9808(a,1),11726(a,1,2)),flip(a)]. 11728 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(310,a,11727,a),flip(a)]. 11729 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [hyper(255,a,11594,a(flip),b,11702,a)]. 11730 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [hyper(11626,a,11729,a)]. 11731 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [hyper(255,a,11055,a(flip),b,11730,a(flip)),flip(a)]. 11732 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [hyper(255,a,11677,a(flip),b,11731,a(flip)),flip(a)]. 11733 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(37(a,2),11732(a,2,1,2))]. 11734 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(255,a,11016,a(flip),b,11733,a(flip)),flip(a)]. 11735 K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). [para(11734(a,1),5605(a,1,2,1)),flip(a)]. 11736 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11734(a,1),11231(a,1,1,2,2))]. 11737 K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). [hyper(255,a,5605,a(flip),b,11735,a)]. 11738 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(255,a,5554,a(flip),b,11715,a)]. 11739 K(x,L((y \ 1) \ (y \ z),y \ x,(y \ x) \ 1)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [para(1871(a,2),11667(a,1,2))]. 11740 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11737(a,1),11736(a,1,2,1,1))]. 11741 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(255,a,11231,a(flip),b,11740,a(flip))]. 11742 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R(R(1 / y,y,x) \ 1,z,u). [para(4543(a,1),4562(a,2,2,1,1))]. 11743 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R((1 / y) * R((1 / y) \ 1,z,u),y,x). [hyper(255,a,3802,a(flip),b,11742,a)]. 11744 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(1172(a,1),11743(a,2,1))]. 11745 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(4449(a,1),11744(a,1,1,2,1))]. 11746 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(4469(a,1),11745(a,1,1))]. 11747 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(7477(a,1),11746(a,1,1)),flip(a)]. 11748 R(x \ R(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). [para(4036(a,1),11747(a,1,1))]. 11749 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(9153(a,1),11748(a,1,1)),flip(a)]. 11750 R(a(x,y,x),x,z) = a(x,y,x). [hyper(10068,a,11749,a),flip(a)]. 11752 ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(255,a,458,a,b,11750,a(flip)),flip(a)]. 11753 (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(9161(a,1),11752(a,1,1,1))]. 11754 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(461(a,1),11753(a,1,1))]. 11755 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(11696(a,1),11754(a,1,1))]. 11756 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(11755(a,1),10083(a,1))]. 11757 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). [para(5911(a,1),5650(a,1,1,2,1)),flip(a)]. 11758 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). [para(5381(a,1),11757(a,2,1,2))]. 11760 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). [para(6672(a,1),11758(a,2,1))]. 11761 T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). [hyper(96,a,11760,a)]. 11762 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). [para(11761(a,1),3407(a,1,1,1)),flip(a)]. 11763 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(6343(a,1),11762(a,2,1))]. 11764 T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(6125(a,1),11763(a,1,2,2))]. 11765 T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(8492(a,1),11764(a,1,2))]. 11766 ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). [para(8523(a,1),11765(a,1,2)),flip(a)]. 11767 ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). [hyper(255,a,8633,a(flip),b,11766,a)]. 11769 K((T(x,y) \ ((x \ 1) \ K(z,x))) \ 1,((x \ K(x,z)) * T(x,y)) \ 1) = K(((x \ 1) \ K(z,x)) \ T(x,y),T(x,y) \ ((x \ 1) \ K(z,x))). [para(11767(a,1),6598(a,1,2,1))]. 11770 (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11767(a,2),7103(a,1,2,1))]. 11771 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (K(y,x) * (x \ 1)) * z. [para(6540(a,1),6438(a,2,1,1))]. 11772 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (T(x,y) \ 1) * z. [para(5209(a,1),11771(a,2,1))]. 11774 (x \ 1) * (R(K(y,x),x \ 1,z) * z) = (T(x,y) \ 1) * z. [para(6437(a,1),11772(a,1,2,1))]. 11775 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(10531(a,1),11774(a,1,2,1))]. 11776 T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). [para(11775(a,1),6543(a,1,2))]. 11778 L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). [hyper(255,a,4739,a(flip),b,11776,a(flip)),flip(a)]. 11780 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). [hyper(255,a,4806,a(flip),b,11778,a(flip)),flip(a)]. 11784 K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [para(11780(a,1),11067(a,1,2,1))]. 11785 K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(255,a,6605,a(flip),b,11784,a(flip))]. 11787 K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(255,a,11487,a(flip),b,11785,a(flip)),flip(a)]. 11788 K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). [hyper(255,a,11446,a(flip),b,11787,a(flip))]. 11789 K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). [hyper(255,a,7073,a(flip),b,11788,a(flip))]. 11790 L(K(x,y),z,z \ 1) = L(K(x,y),z,z \ x). [hyper(9588,a,11789,a),flip(a)]. 11791 L(K(x,y),z,z \ x) = K(x,L(y,z,z \ 1)). [hyper(11622,a,11790,a),flip(a)]. 11792 K(x,L(y,z,z \ 1)) = K(x,L(y,z,z \ x)). [hyper(11622,a,11791,a),flip(a)]. 11793 K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)). [para(11368(a,1),11792(a,2,2))]. 11794 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(255,a,11739,a(flip),b,11793,a(flip))]. 11795 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [hyper(255,a,11665,a(flip),b,11794,a(flip))]. 11798 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [hyper(255,a,5768,a(flip),b,11795,a(flip)),flip(a)]. 11801 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(11798(a,1),7361(a,2,1))]. 11802 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(255,a,5190,a(flip),b,11801,a)]. 11804 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(10485(a,1),11802(a,2,2))]. 11805 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(7058(a,1),11804(a,1,1))]. 11806 (L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4861(a,1),7352(a,1,2))]. 11807 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(5141(a,1),11806(a,1,2))]. 11808 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(255,a,11254,a(flip),b,11807,a(flip))]. 11810 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(162(a,1),11808(a,1,2,2,1))]. 11811 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(11810(a,1),4311(a,1,2))]. 11812 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(11811(a,1),8093(a,2,1))]. 11813 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(L(T(x,K(z,u)),K(z,u),K(y,z)),K(y,z)). [para(179(a,1),8732(a,1,1)),flip(a)]. 11814 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)). [para(10278(a,1),11813(a,2,1))]. 11815 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)). [hyper(255,a,8193,a,b,11814,a)]. 11817 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [hyper(255,a,9127,a(flip),b,11815,a(flip))]. 11818 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [hyper(8205,a,11817,a)]. 11820 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [para(2075(a,2),11817(a,2,2))]. 11821 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(11817(a,1),9909(a,1,1))]. 11822 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(2075(a,2),11818(a,2,2))]. 11823 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(5829,a,11820,a)]. 11824 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(255,a,11482,a,b,11820,a(flip)),flip(a)]. 11825 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(255,a,9630,a,b,11820,a(flip)),flip(a)]. 11826 T(K(x,y) * z,K(x,u) * K(y,x)) = T(z * K(x,y),K(x,u)). [hyper(255,a,6870,a(flip),b,11820,a(flip))]. 11827 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). [para(9490(a,1),11822(a,1,1,2)),flip(a)]. 11828 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(11822(a,1),10331(a,2,1))]. 11829 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(255,a,11820,a(flip),b,11823,a(flip))]. 11830 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(5353,a,11829,a)]. 11832 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2075(a,2),11824(a,1,2,1))]. 11833 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(22,a,11824,a,b,11830,a),flip(a)]. 11834 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(11830(a,1),5255(a,1))]. 11835 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(2075(a,2),11833(a,1,1))]. 11836 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(2075(a,1),11835(a,2,2))]. 11837 K(K(x,y) * K(z,x),u) / (K(y,x) * K(x,z)) = 1 / T(K(y,x) * K(x,z),u). [hyper(81,a,11836,a,b,5183,a(flip))]. 11838 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(22,a,5252,a(flip),b,11832,a)]. 11839 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(255,a,11836,a(flip),b,11838,a(flip))]. 11840 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(11838(a,1),5252(a,2,2)),flip(a)]. 11841 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(11820(a,2),11834(a,1))]. 11843 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(5281,a,11821,a),flip(a)]. 11845 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(255,a,11833,a(flip),b,11843,a)]. 11846 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). [para(6375(a,1),11843(a,1,2,2)),flip(a)]. 11847 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(255,a,11838,a,b,11845,a)]. 11848 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(255,a,11132,a,b,11845,a(flip))]. 11849 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [hyper(255,a,10117,a,b,11845,a(flip)),flip(a)]. 11850 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)). [para(8154(a,1),11845(a,1,1))]. 11851 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(8428(a,1),11845(a,1,1))]. 11852 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)). [hyper(255,a,11839,a(flip),b,11850,a)]. 11853 x / T((K(y,z) * x) * K(z,u),K(z,y)) = ((1 * (K(z,u) * K(y,z))) * x) \ x. [para(11826(a,1),11267(a,1,2))]. 11854 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(255,a,11818,a(flip),b,11825,a(flip))]. 11855 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(255,a,5177,a,b,11828,a)]. 11856 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5600(a,1),11855(a,1,2))]. 11857 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(255,a,11109,a(flip),b,11848,a)]. 11858 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [para(2075(a,1),11857(a,1,2))]. 11859 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(18(a,1),11858(a,1,2,2,2,3))]. 11860 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(11834,a,11854,a)]. 11861 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(255,a,5252,a(flip),b,11860,a),flip(a)]. 11862 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). [para(9629(a,1),11827(a,2,1))]. 11863 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(5448,a,11840,a)]. 11864 (x * (K(y,z) * K(z,u))) / x = T(K(z,u) * K(y,z),x). [para(2075(a,1),11863(a,1,1,2))]. 11865 T(K(x,y) * K(z,x),u) * u = u * (K(z,x) * K(x,y)). [para(11864(a,1),21(a,1,1))]. 11867 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(22,a,5252,a(flip),b,11861,a),flip(a)]. 11868 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(255,a,11823,a(flip),b,11862,a)]. 11869 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(9490(a,1),11868(a,1,2,2))]. 11870 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(255,a,11829,a,b,11869,a),flip(a)]. 11871 K(K(x,y) * K(z,x),u) * (K(z,x) * K(x,y)) = 1 / T(K(y,x) * K(x,z),u). [hyper(255,a,9214,a(flip),b,11837,a(flip)),flip(a)]. 11872 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). [para(8134(a,1),11849(a,1,2,2,2))]. 11873 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8428(a,1),11851(a,1,2)),flip(a)]. 11874 K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. [para(11873(a,1),8008(a,1))]. 11876 K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. [para(11843(a,1),11874(a,1))]. 11877 K(K(x,y) * K(z,x),u) != w | K(u,K(x,y) * K(z,x)) = w. [para(11847(a,1),11874(a,1))]. 11878 K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w. [para(11856(a,2),11877(a,1))]. 11879 x / T(K(y,z) * (x * K(z,u)),K(z,y)) = ((1 * (K(z,u) * K(y,z))) * x) \ x. [para(7465(a,1),11853(a,1,2,1))]. 11880 K(K(x,y),K(y,z)) * T(K(y,z) * K(x,y),u) = 1 / T(K(z,y) * K(y,x),u). [hyper(255,a,6958,a(flip),b,11871,a(flip)),flip(a)]. 11881 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(5869,a,11872,a)]. 11882 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(8134(a,1),11881(a,1,1))]. 11883 ((1 * (K(x,y) * K(z,x))) * u) \ u = u / ((u * K(x,y)) * K(z,x)). [para(8197(a,1),11879(a,1,2)),flip(a)]. 11884 ((1 * (K(x,y) * K(z,x))) * u) \ u = u / (u * (K(z,x) * K(x,y))). [para(9128(a,1),11883(a,2,2))]. 11885 x / (x * (K(y,z) * K(z,u))) = ((K(z,u) * K(y,z)) * x) \ x. [para(16(a,1),11884(a,1,1,1)),flip(a)]. 11886 x / (x * (K(y,z) * K(z,u))) = (K(z,u) * (K(y,z) * x)) \ x. [para(10270(a,1),11885(a,2,1))]. 11887 1 / T(K(x,y) * K(y,z),u) = 1 * T(K(y,x) * K(z,y),u). [para(2073(a,1),11880(a,1,1)),flip(a)]. 11888 1 / T(K(x,y) * K(y,z),u) = T(K(y,x) * K(z,y),u). [hyper(255,a,16,a(flip),b,11887,a)]. 11890 T(K(x,y) * K(z,x),u) \ 1 = T(K(y,x) * K(x,z),u). [para(11888(a,1),73(a,1,1))]. 11891 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))). [para(9317(a,1),11846(a,2,2))]. 11892 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(255,a,11843,a(flip),b,11891,a)]. 11893 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(6375(a,1),11892(a,1,1,2))]. 11894 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(11073(a,1),9614(a,1,1,2))]. 11895 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(8096(a,1),11894(a,1,1))]. 11896 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(47(a,2),11895(a,1,2))]. 11897 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(204(a,1),11896(a,1,2,1))]. 11898 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(255,a,9617,a(flip),b,11897,a(flip)),flip(a)]. 11899 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(255,a,10285,a(flip),b,11898,a(flip)),flip(a)]. 11901 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(255,a,9817,a(flip),b,11899,a(flip))]. 11902 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(7743(a,1),11901(a,2,2))]. 11903 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(255,a,4644,a(flip),b,11902,a)]. 11904 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(9613(a,1),11903(a,1,1,1))]. 11905 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(11073(a,1),11904(a,1,1)),flip(a)]. 11906 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(11905(a,1),5593(a,1))]. 11907 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). [para(9739(a,1),9742(a,1,2,1,1)),flip(a)]. 11908 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w). [hyper(255,a,3818,a(flip),b,11907,a)]. 11910 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1150(a,1),11908(a,2,1))]. 11911 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1150(a,1),11910(a,1,1))]. 11912 a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)). [para(11911(a,1),11615(a,1,2,2))]. 11913 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(18(a,1),11503(a,2,1,1))]. 11914 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(255,a,9757,a(flip),b,11913,a)]. 11916 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(18(a,1),11914(a,1,1,1))]. 11917 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(18(a,1),11916(a,1,2,2))]. 11918 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(6475(a,1),11917(a,1,2,1,3))]. 11919 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(7376(a,1),7377(a,2,2,1,1))]. 11920 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(73(a,1),11919(a,2,2,1))]. 11922 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(255,a,4034,a(flip),b,11920,a)]. 11923 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(73(a,1),11922(a,1,1,2,1))]. 11924 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(4034(a,1),11923(a,1,1))]. 11925 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(6861,a,11924,a)]. 11926 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(11925(a,1),11520(a,1,1,1))]. 11927 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(255,a,704,a(flip),b,11926,a(flip)),flip(a)]. 11928 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(122(a,1),11927(a,1,1,2))]. 11929 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(29(a,2),11928(a,1,1)),flip(a)]. 11930 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(255,a,10628,a(flip),b,11929,a),flip(a)]. 11931 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(29(a,2),11930(a,2,1,1)),flip(a)]. 11933 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). [hyper(255,a,7319,a(flip),b,9621,a(flip))]. 11935 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). [hyper(255,a,3867,a(flip),b,11933,a)]. 11936 T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). [para(2245(a,1),11935(a,1,2,1)),flip(a)]. 11938 (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). [para(5600(a,1),10179(a,1,1,2))]. 11939 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(255,a,10266,a(flip),b,10306,a(flip)),flip(a)]. 11940 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(11262,a,11939,a)]. 11943 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(10244(a,1),11940(a,2,2,2))]. 11944 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(19(a,1),11943(a,2,2,2,1))]. 11945 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(18(a,1),11944(a,2,2))]. 11947 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(255,a,10252,a(flip),b,11945,a)]. 11948 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(255,a,11263,a(flip),b,11947,a(flip))]. 11949 a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(11947(a,1),4788(a,1))]. 11951 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10844(a,1),11232(a,1,2,1,1))]. 11952 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(10280(a,2),11545(a,2,2,1))]. 11954 ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). [para(7091(a,1),11938(a,1,1))]. 11955 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(255,a,11231,a(flip),b,11951,a(flip))]. 11956 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(9486,a,11955,a),flip(a)]. 11957 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(9340,a,11956,a)]. 11958 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(8719,a,11957,a),flip(a)]. 11959 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(11958(a,1),10908(a,1,1))]. 11960 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(255,a,10907,a(flip),b,11959,a(flip)),flip(a)]. 11961 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(11338,a,11960,a),flip(a)]. 11962 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(255,a,7384,a(flip),b,11961,a(flip))]. 11963 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(35(a,2),11962(a,1,2,1)),flip(a)]. 11964 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(478(a,1),11963(a,2,2,1))]. 11965 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(5584(a,1),11963(a,1,1)),flip(a)]. 11966 K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). [para(5890(a,1),11963(a,1,1)),flip(a)]. 11967 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(11409(a,1),11963(a,1,1))]. 11968 K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). [hyper(255,a,5817,a,b,11966,a(flip)),flip(a)]. 11970 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(11965(a,1),11967(a,1,1)),flip(a)]. 11971 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(5817(a,1),11964(a,1,1))]. 11972 T(K(x,y) * K(z,x),u) * u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(16(a,2),11952(a,2,1))]. 11973 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(4497(a,1),4421(a,1,1,2)),flip(a)]. 11974 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(255,a,1803,a(flip),b,11973,a)]. 11975 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(4417(a,1),11974(a,1,3))]. 11976 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(11975(a,1),6453(a,1,1,1))]. 11977 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(11975(a,1),11976(a,1,2))]. 11978 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(286,a,11977,a)]. 11979 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(255,a,4953,a(flip),b,11978,a(flip)),flip(a)]. 11980 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(11979(a,1),169(a,1,2))]. 11981 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(73(a,1),4427(a,1,1,2))]. 11982 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(45(a,2),11981(a,1,1))]. 11983 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(3053(a,1),11982(a,1,1))]. 11984 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(73(a,1),11983(a,1,2,2,2))]. 11985 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(45(a,2),11984(a,1,2,2))]. 11986 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(3053(a,1),11985(a,1,2,2))]. 11987 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(18(a,1),11986(a,1,2))]. 11989 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(11987(a,1),10813(a,1,1)),flip(a)]. 11990 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [para(11989(a,1),73(a,1,1))]. 11991 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(255,a,3062,a(flip),b,11990,a(flip)),flip(a)]. 11993 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u * K(y,x))). [para(6673(a,1),9138(a,2,2,2))]. 11995 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))). [para(6740(a,1),9716(a,1,1)),flip(a)]. 11996 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = K(x,L(y,u,w)) * (x * K(y,z)). [hyper(255,a,5677,a(flip),b,11995,a)]. 11998 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = T(x,L(y,u,w)) * K(y,z). [hyper(255,a,5272,a(flip),b,11996,a)]. 11999 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(6740(a,1),11998(a,1,2))]. 12000 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(255,a,7977,a(flip),b,11999,a(flip)),flip(a)]. 12002 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(255,a,11631,a(flip),b,12000,a)]. 12003 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(12002(a,1),5295(a,1,1))]. 12004 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(12002(a,1),5434(a,1,1))]. 12006 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(255,a,8147,a(flip),b,11241,a(flip))]. 12007 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(8136,a,12006,a)]. 12009 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(8915(a,1),12007(a,1,2))]. 12010 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,9528,a(flip),b,12009,a(flip)),flip(a)]. 12011 R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(9313(a,1),11287(a,1,1,1,2))]. 12018 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ (K(x,y) * (K(z,x) * (u * K(y,x)))). [para(10270(a,1),11993(a,2,2))]. 12028 R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). [para(11882(a,1),12011(a,1,1,1))]. 12029 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ T(K(z,x) * u,K(x,y)). [para(8745(a,1),12018(a,2,2))]. 12030 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(K(z,x),u) * K(K(z,x) * u,K(x,y)). [hyper(255,a,7126,a(flip),b,12029,a)]. 12031 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(K(z,x) * u,K(x,y)). [para(8153(a,1),12030(a,2,1))]. 12032 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(u,K(x,y)). [para(8426(a,1),12031(a,2,2))]. 12033 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [hyper(255,a,11852,a(flip),b,12032,a)]. 12035 K(K(x,y) * K(z,x),R(u * K(y,x),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [para(6673(a,1),12033(a,1,2,1))]. 12036 K(K(x,y) * K(z,x),u * K(y,x)) = K(u,K(z,x) * K(x,y)). [para(9131(a,1),12035(a,1,2))]. 12038 (K(x,y) * K(z,x)) \ K(u,K(z,x) * K(x,y)) = K(x,T(z,u)) * K(y,T(x,u)). [para(12036(a,1),11497(a,1,2))]. 12039 K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)) = K(x * (T(x,y) \ z),T(x,y) / z). [hyper(255,a,11471,a(flip),b,9081,a(flip))]. 12040 K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)) = K(K(y,x) * z,T(x,y) / z). [para(5225(a,1),12039(a,2,1))]. 12041 K((1 / (T(x,y) \ z)) \ x,(T(x,y) \ z) \ 1) = K(K(y,x) * z,T(x,y) / z). [hyper(5580,a,12040,a)]. 12042 K(x * (T(x,y) \ z),(T(x,y) \ z) \ 1) = K(K(y,x) * z,T(x,y) / z). [hyper(255,a,6286,a(flip),b,12041,a(flip)),flip(a)]. 12043 K(K(x,y) * z,(T(y,x) \ z) \ 1) = K(K(x,y) * z,T(y,x) / z). [para(5225(a,1),12042(a,1,1))]. 12044 K(K(x,y) * z,T(y,x) / z) = K(K(x,y) * z,z \ T(y,x)). [hyper(6817,a,12043,a),flip(a)]. 12045 K((T(x,y) / z) \ x,T(x,y) / z) = K(K(y,x) * z,z \ T(x,y)). [hyper(255,a,10946,a,b,12044,a(flip)),flip(a)]. 12046 K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K(K(y,x) * z,z \ T(x,y)). [hyper(255,a,8887,a,b,12045,a(flip)),flip(a)]. 12047 (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9367(a,1),9221(a,1,1,2))]. 12048 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9219(a,1),12047(a,1,2,1))]. 12049 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(4036(a,1),12048(a,1,2,2))]. 12050 R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(3653(a,1),12049(a,1,2)),flip(a)]. 12052 R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(9219(a,1),12050(a,1,2,1))]. 12054 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(9367(a,1),12052(a,1,2)),flip(a)]. 12055 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(9219(a,1),12054(a,2,3))]. 12056 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [hyper(255,a,10081,a(flip),b,12055,a)]. 12058 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(10647(a,2),12056(a,1,1,2))]. 12059 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(9212,a,12058,a)]. 12060 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [para(7542(a,1),12059(a,1,2))]. 12061 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(12060(a,1),6663(a,1,1)),flip(a)]. 12062 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(255,a,5131,a(flip),b,12061,a)]. 12063 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(1450(a,1),10435(a,1,1))]. 12064 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(255,a,8741,a(flip),b,12063,a)]. 12066 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [para(12064(a,1),19(a,1,2))]. 12067 (K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(12066(a,1),11954(a,1,1))]. 12068 (K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(10178(a,1),12067(a,1,2))]. 12069 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(962,a,12068,a)]. 12070 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(255,a,5600,a(flip),b,12069,a)]. 12071 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). [hyper(255,a,9040,a,b,12070,a(flip)),flip(a)]. 12072 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3225,a,12071,a),flip(a)]. 12073 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(9334,a,12072,a),flip(a)]. 12075 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(9329,a,12073,a),flip(a)]. 12077 K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). [para(12075(a,1),10588(a,1,1))]. 12078 T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). [hyper(5565,a,12077,a)]. 12079 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10543(a,1),12077(a,1,2,2))]. 12080 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(12078(a,1),10253(a,1))]. 12081 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10257(a,1),12079(a,1,2))]. 12082 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5612,a,12081,a)]. 12083 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(12080,a,12082,a)]. 12085 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(12083(a,1),10823(a,1,1)),flip(a)]. 12086 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(12085(a,1),11931(a,1,1))]. 12088 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(255,a,11931,a(flip),b,12086,a(flip))]. 12089 (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [hyper(255,a,9513,a,b,12088,a),flip(a)]. 12090 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(7197(a,1),12089(a,1,1,2))]. 12091 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(569(a,1),12090(a,1,1))]. 12092 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(184(a,1),12091(a,1,2)),flip(a)]. 12093 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). [hyper(255,a,1373,a(flip),b,12092,a)]. 12094 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(47(a,2),12093(a,2,3))]. 12095 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(255,a,12088,a(flip),b,12094,a(flip)),flip(a)]. 12096 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(255,a,12083,a(flip),b,12095,a(flip)),flip(a)]. 12098 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(255,a,11948,a(flip),b,12096,a(flip))]. 12100 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [hyper(255,a,11518,a,b,12098,a(flip)),flip(a)]. 12101 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(9753,a,12100,a)]. 12103 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(12101(a,1),11484(a,1,2)),flip(a)]. 12104 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(37(a,2),12103(a,2,2,2))]. 12105 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(10357(a,1),12104(a,2,2))]. 12106 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(255,a,11694,a(flip),b,12105,a(flip)),flip(a)]. 12107 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(319(a,1),12106(a,1,2,3))]. 12108 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(10030,a,12107,a)]. 12109 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(11756,a,12108,a)]. 12110 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(255,a,12101,a(flip),b,12108,a(flip))]. 12111 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(19(a,1),12109(a,1,2)),flip(a)]. 12112 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(12111(a,1),10255(a,1,2)),flip(a)]. 12113 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12111(a,1),10267(a,1,2)),flip(a)]. 12114 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [hyper(255,a,10543,a(flip),b,12112,a(flip))]. 12115 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(12110(a,1),10359(a,1,1))]. 12116 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(255,a,10349,a(flip),b,12115,a(flip)),flip(a)]. 12117 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(10562(a,1),12114(a,1,2,1)),flip(a)]. 12118 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(255,a,12113,a,b,12117,a)]. 12120 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(12118(a,1),11697(a,2,1,1))]. 12121 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. [hyper(255,a,461,a(flip),b,10706,a)]. 12122 (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [hyper(255,a,1902,a(flip),b,12121,a(flip)),flip(a)]. 12123 (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5606(a,1),12122(a,1,1,2,1))]. 12124 (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(6029(a,1),12123(a,1,1,2,1))]. 12125 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(8270(a,1),12124(a,1,1,2,1)),flip(a)]. 12126 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(255,a,4616,a(flip),b,12125,a(flip))]. 12128 (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). [para(12126(a,1),1320(a,2,1,2)),flip(a)]. 12129 (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). [para(5600(a,1),12128(a,1,1))]. 12130 (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). [para(10303(a,1),12129(a,1,1))]. 12131 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(303,a,12130,a)]. 12134 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(255,a,6372,a(flip),b,12131,a(flip)),flip(a)]. 12135 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(255,a,7623,a(flip),b,12134,a)]. 12136 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(255,a,8055,a(flip),b,12135,a(flip))]. 12138 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(255,a,11143,a(flip),b,12136,a)]. 12139 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(9348,a,12138,a)]. 12141 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). [para(9127(a,1),9133(a,1,1,2,1,1)),flip(a)]. 12142 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(18(a,1),12141(a,2,1,2,1))]. 12144 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(9127(a,1),12142(a,1,1)),flip(a)]. 12145 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2078(a,1),12144(a,2,2))]. 12146 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(255,a,9869,a,b,12145,a(flip)),flip(a)]. 12148 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(304,a,12146,a)]. 12153 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8100(a,1),11119(a,1,2,1,2))]. 12154 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8439(a,1),12153(a,1,2,1,2))]. 12155 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8143(a,1),12154(a,1,2,1,2))]. 12156 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8278(a,1),12155(a,1,2,1,2))]. 12157 T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(5333(a,1),12156(a,1,2,1))]. 12158 K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [hyper(255,a,5594,a,b,12157,a(flip)),flip(a)]. 12159 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). [para(8459(a,1),12158(a,1,1)),flip(a)]. 12160 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(1601(a,1),12159(a,2,2))]. 12161 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(255,a,8179,a(flip),b,12160,a)]. 12162 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). [para(18(a,1),7121(a,1,1,1)),flip(a)]. 12163 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)). [hyper(255,a,7544,a(flip),b,12162,a)]. 12165 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(255,a,9456,a(flip),b,12163,a)]. 12166 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [hyper(7899,a,12165,a)]. 12167 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(255,a,9485,a(flip),b,12166,a(flip)),flip(a)]. 12168 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(9462,a,12167,a)]. 12169 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(9342,a,12168,a),flip(a)]. 12171 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(255,a,10322,a(flip),b,12169,a(flip)),flip(a)]. 12172 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(6902,a,12171,a),flip(a)]. 12173 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(255,a,9305,a,b,12172,a(flip)),flip(a)]. 12174 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(255,a,11543,a,b,12173,a(flip)),flip(a)]. 12175 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). [para(35(a,2),12174(a,2,2,1))]. 12176 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(255,a,9568,a(flip),b,12175,a(flip))]. 12178 K(x,y) * (((z * x) / z) * L(u,T(K(x,y),(z * x) / z),(z * x) / z)) = ((z * x) / z) * (K(x,y) * u). [para(3336(a,1),7645(a,2,2,1))]. 12179 K(x,y) * (((z * x) / z) * L(u,K(x,y),(z * x) / z)) = ((z * x) / z) * (K(x,y) * u). [para(3336(a,1),12178(a,1,2,2,2))]. 12182 K(x,y) * (((z * x) / z) * u) = ((z * x) / z) * (K(x,y) * u). [para(7667(a,1),12179(a,1,2,2))]. 12183 ((x * y) / x) * (K(y,z) * u) = T(y,z) * (K(x,y) * u). [hyper(5937,a,12182,a),flip(a)]. 12185 K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5600(a,1),9981(a,1,1,1))]. 12186 K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(11282(a,1),12185(a,1,1))]. 12187 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(255,a,6610,a(flip),b,12186,a(flip)),flip(a)]. 12189 K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(255,a,11893,a(flip),b,12187,a(flip)),flip(a)]. 12190 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). [hyper(11878,a,12189,a),flip(a)]. 12191 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). [hyper(255,a,11867,a(flip),b,12190,a)]. 12192 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(255,a,11859,a(flip),b,12191,a)]. 12194 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(255,a,6610,a(flip),b,12192,a(flip)),flip(a)]. 12195 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(12194(a,1),5411(a,1,1))]. 12196 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(11283(a,1),12195(a,1,2))]. 12197 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(83,a,12196,a)]. 12198 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(8153(a,1),12196(a,1,2,1))]. 12199 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5622,a,12197,a)]. 12200 R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). [hyper(2083,a,12197,a)]. 12201 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6358(a,1),12197(a,1,2))]. 12202 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(9562(a,1),12197(a,1,2))]. 12203 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(12197(a,1),10198(a,1,1)),flip(a)]. 12205 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(12197(a,1),11870(a,2,2))]. 12206 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(12197(a,1),11893(a,1,1)),flip(a)]. 12207 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(12197(a,1),12148(a,1,1,2))]. 12208 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). [para(12199(a,1),10520(a,1,1)),flip(a)]. 12209 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [para(12200(a,1),9998(a,2,2))]. 12210 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(5622,a,12203,a)]. 12211 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(11876,a,12206,a)]. 12214 K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. [para(12206(a,1),11876(a,1))]. 12215 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(12197(a,1),12207(a,1,2))]. 12217 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(80,a,128,a(flip),b,12215,a)]. 12218 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(255,a,10018,a(flip),b,12210,a(flip)),flip(a)]. 12219 R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). [para(12211(a,1),12028(a,1,1,1))]. 12220 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(9314(a,1),12198(a,1,2,2))]. 12221 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(11882(a,1),12220(a,1,2))]. 12222 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(9427(a,1),12218(a,1,2))]. 12223 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(5634,a,12222,a)]. 12224 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(255,a,9991,a,b,12223,a)]. 12225 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(255,a,12209,a(flip),b,12208,a)]. 12226 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(336(a,1),12219(a,1,1)),flip(a)]. 12227 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(255,a,9429,a(flip),b,12226,a)]. 12228 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(8100(a,1),12227(a,1,2,1,1))]. 12229 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(9313(a,1),12228(a,1,2,1))]. 12230 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(5263(a,2),12229(a,1,2))]. 12231 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(255,a,9632,a,b,12230,a(flip)),flip(a)]. 12232 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(8141(a,1),12231(a,1,1))]. 12233 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(11841,a,12232,a)]. 12234 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(255,a,12205,a(flip),b,12233,a(flip))]. 12235 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(22,a,5252,a(flip),b,12234,a)]. 12236 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(12214,a,12235,a)]. 12237 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(12236(a,1),12221(a,1,2))]. 12238 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(83,a,12237,a),flip(a)]. 12239 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(255,a,12235,a,b,12238,a)]. 12240 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(8134(a,1),12238(a,1,1))]. 12241 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(8134(a,1),12239(a,1,1))]. 12242 (T(K(x,y) * K(z,x),u) \ 1) \ u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(16(a,1),10425(a,1,1,1,1))]. 12243 (T(K(x,y) * K(z,x),u) \ 1) \ u = T(K(x,y) * K(z,x),u) * u. [hyper(255,a,11972,a,b,12242,a)]. 12244 (T(K(x,y) * K(z,x),u) \ 1) \ u = u * (K(z,x) * K(x,y)). [hyper(255,a,11865,a(flip),b,12243,a)]. 12245 T(K(x,y) * K(y,z),u) \ u = u * (K(z,y) * K(y,x)). [para(11890(a,1),12244(a,1,1))]. 12246 x / (x * (K(y,z) * K(z,u))) = T(K(u,z) * K(z,y),x). [para(12245(a,1),70(a,1,2))]. 12247 (K(x,y) * (K(z,x) * u)) \ u = T(K(y,x) * K(x,z),u). [hyper(255,a,11886,a(flip),b,12246,a(flip)),flip(a)]. 12248 T(K(x,y) * K(y,z),u) \ 1 = T(K(y,x) * K(z,y),u). [para(12247(a,1),10493(a,1,1))]. 12249 K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). [para(5510(a,1),5730(a,1,1))]. 12250 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). [para(5510(a,1),12249(a,1,2,1,1)),flip(a)]. 12251 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). [para(5381(a,1),12250(a,2,2,1))]. 12252 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). [para(6358(a,1),12251(a,2,2))]. 12253 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). [para(5187(a,1),12252(a,1,1,1)),flip(a)]. 12254 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). [para(6358(a,1),12253(a,2,1,2))]. 12255 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). [hyper(255,a,12201,a(flip),b,12254,a(flip))]. 12256 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(5387(a,1),11054(a,1,2)),flip(a)]. 12257 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(21(a,1),3402(a,1,2,1))]. 12258 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(67(a,1),12257(a,1,2))]. 12260 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(219,a,12258,a)]. 12263 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(3741(a,1),12260(a,1,1))]. 12264 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(255,a,7177,a(flip),b,12263,a(flip))]. 12265 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(255,a,5142,a(flip),b,12264,a)]. 12266 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(255,a,10632,a(flip),b,12265,a)]. 12267 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(12265(a,2),7178(a,1,1))]. 12268 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1150(a,1),12266(a,1,2))]. 12269 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(12268(a,1),5241(a,2,1)),flip(a)]. 12270 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(255,a,8154,a,b,12269,a)]. 12271 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. [para(12269(a,2),8183(a,1))]. 12272 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(12267(a,1),11805(a,1,2))]. 12273 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(255,a,6434,a(flip),b,12272,a(flip)),flip(a)]. 12274 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(255,a,10480,a(flip),b,12273,a)]. 12275 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(255,a,11811,a(flip),b,12274,a(flip))]. 12276 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(12274(a,1),73(a,1,1))]. 12277 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(12276(a,1),5062(a,1,2,1))]. 12278 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(255,a,10480,a(flip),b,12277,a)]. 12279 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(12275(a,1),12278(a,1,1))]. 12280 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(255,a,11812,a,b,12279,a(flip)),flip(a)]. 12281 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(6709(a,1),12280(a,1,1))]. 12282 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(255,a,6031,a(flip),b,12281,a(flip))]. 12283 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(255,a,10491,a(flip),b,12282,a(flip)),flip(a)]. 12284 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(12283(a,1),73(a,1,1))]. 12285 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(12284(a,1),2229(a,1,1))]. 12286 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(12285(a,1),6992(a,1,2,1))]. 12287 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T((((y * z) \ y) \ 1) \ x,u)). [hyper(8996,a,12286,a),flip(a)]. 12288 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * ((K(z,x) * y) / z). [para(5214(a,1),5081(a,2,2,1))]. 12289 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * (K(z,x) * (y / z)). [para(7716(a,1),12288(a,2,2))]. 12290 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = T(z,x) * (K(x,z) * (y / z)). [hyper(255,a,12183,a(flip),b,12289,a)]. 12291 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = z * (y / z). [hyper(255,a,5564,a(flip),b,12290,a)]. 12293 ((T(x,y) / z) \ ((y * (((y \ (x * y)) / z) * z)) / y)) * ((y \ (x * y)) / z) = z * (x / z). [para(37(a,2),12291(a,1,1,1,1))]. 12294 ((T(x,y) / z) \ ((y * ((T(x,y) / z) * z)) / y)) * ((y \ (x * y)) / z) = z * (x / z). [para(37(a,2),12293(a,1,1,2,1,2,1,1))]. 12295 ((T(x,y) / z) \ ((y * T(x,y)) / y)) * ((y \ (x * y)) / z) = z * (x / z). [para(21(a,1),12294(a,1,1,2,1,2))]. 12297 ((T(x,y) / z) \ x) * ((y \ (x * y)) / z) = z * (x / z). [para(167(a,1),12295(a,1,1,2))]. 12298 ((T(x,y) / z) \ x) * (T(x,y) / z) = z * (x / z). [para(37(a,2),12297(a,1,2,1))]. 12299 K((T(x,y) / z) \ T(x,u),T(x,y) / z) = T(x,u) \ T(z * (x / z),u). [para(12298(a,1),5046(a,1,2,1)),flip(a)]. 12300 K((T(x,y) / z) \ T(x,u),T(x,y) / z) = K(z,z \ T(x,u)). [hyper(255,a,5659,a(flip),b,12299,a)]. 12301 K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K(z,z \ x). [hyper(255,a,7991,a(flip),b,12300,a)]. 12302 K(K(x,y) * z,z \ T(y,x)) = K(z,z \ y). [hyper(255,a,12046,a(flip),b,12301,a(flip)),flip(a)]. 12304 K(K(x,T(y,z \ T(y,x))) * z,z \ T(y,x)) = K(z,z \ y). [hyper(255,a,8077,a,b,12302,a(flip)),flip(a)]. 12305 K(K(x,T(y,z \ y)) * z,z \ T(y,x)) = K(z,z \ y). [para(8802(a,1),12304(a,1,1,1,2))]. 12306 K(K(x,T(y,z)) * z,z \ T(y,x)) = K(z,z \ y). [para(8542(a,1),12305(a,1,1,1))]. 12308 K(x * K(y,z),x \ T(z,y)) = K(x,x \ z). [para(8235(a,1),12306(a,1,1))]. 12309 T(T(x,y) / z,z * K(y,x)) = T(x,y) / (z * K(z,z \ x)). [para(12308(a,1),7825(a,1,2,2)),flip(a)]. 12310 T(T(x,y) / z,z * K(y,x)) = T(x,y) / T(z,z \ x). [para(5252(a,2),12309(a,2,2))]. 12311 T(x,L(T(y * z,z) / T(y,y \ (y * z)),u,w)) = T(x,L((y * z) / y,u,w)). [para(12310(a,1),11268(a,1,2,1))]. 12312 T(x,L(T(y * z,z) / T(y,z),u,w)) = T(x,L((y * z) / y,u,w)). [para(18(a,1),12311(a,1,2,1,2,2))]. 12313 T(x,L((y * z) / y,u,w)) = T(x,L(z * K(y * z,z),u,w)). [para(5422(a,1),12312(a,1,2,1)),flip(a)]. 12314 T(x,L(T(y,z * y),u,w)) = T(x,L((z * y) / z,u,w)). [hyper(255,a,8864,a(flip),b,12313,a),flip(a)]. 12315 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [hyper(255,a,8863,a(flip),b,12314,a)]. 12316 (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(12315(a,1),11673(a,1,2))]. 12317 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). [para(4536(a,1),12316(a,1,2)),flip(a)]. 12318 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). [para(43(a,1),12317(a,2,2))]. 12319 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x). [hyper(255,a,7790,a(flip),b,12318,a)]. 12320 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x). [para(11637(a,1),12319(a,2,1))]. 12321 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x). [hyper(255,a,7434,a(flip),b,12320,a)]. 12322 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(7537(a,1),12321(a,1,2,3))]. 12323 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(4474(a,1),12322(a,1,2,3))]. 12324 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [hyper(255,a,11738,a,b,12323,a(flip)),flip(a)]. 12325 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(11600(a,1),12324(a,1,1))]. 12326 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(3140(a,1),12325(a,1,2)),flip(a)]. 12327 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(255,a,5600,a(flip),b,12326,a)]. 12328 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(11637(a,1),12327(a,2,1))]. 12329 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(255,a,5263,a,b,12328,a)]. 12330 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(255,a,12004,a,b,12329,a(flip)),flip(a)]. 12331 x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(6849(a,1),10300(a,1,2,1))]. 12332 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(4245(a,1),12331(a,1,2,2)),flip(a)]. 12333 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(8521(a,1),12332(a,2,2))]. 12334 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(18(a,1),12333(a,2,2,1))]. 12335 K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(11991(a,1),12334(a,1,1,2))]. 12336 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8978(a,1),12335(a,1,1))]. 12338 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(11991(a,1),12336(a,1,2,1))]. 12339 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(5804(a,1),12338(a,1,2))]. 12340 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7786(a,1),12339(a,1,2))]. 12341 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(7212(a,1),12340(a,1,2)),flip(a)]. 12342 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(255,a,7814,a,b,12341,a)]. 12344 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(9068(a,1),6546(a,1,1)),flip(a)]. 12345 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(255,a,7714,a,b,12344,a)]. 12347 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(5272(a,1),12345(a,2,1))]. 12348 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(9068(a,1),6547(a,1,1)),flip(a)]. 12349 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(255,a,7714,a,b,12348,a)]. 12351 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(5272(a,1),12349(a,2,1))]. 12352 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). [hyper(255,a,10086,a(flip),b,12351,a)]. 12353 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4565(a,2),12352(a,1,2))]. 12354 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(9064(a,1),12353(a,1,2,1))]. 12355 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4563(a,2),12354(a,1,2,1))]. 12357 K((x * (K(y,x) / T(x,z))) \ 1,((x \ K(x,y)) * T(x,z)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). [para(8888(a,1),11769(a,1,1,1))]. 12358 (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(6125(a,1),11770(a,1,1,1))]. 12359 ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11767(a,1),12358(a,1,1))]. 12360 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11767(a,1),12359(a,1,2,1))]. 12361 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(6125(a,1),12360(a,1,2,2,2))]. 12362 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). [para(10698(a,1),10699(a,2,2,1,1))]. 12363 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). [hyper(255,a,1907,a(flip),b,12362,a)]. 12364 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). [para(2114(a,1),12363(a,2,2))]. 12365 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). [para(821(a,1),12364(a,2,2,1))]. 12366 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1158(a,1),12365(a,2,2,1,2))]. 12367 T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1907(a,1),12366(a,1,1))]. 12368 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). [hyper(255,a,9593,a(flip),b,9840,a)]. 12369 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). [hyper(255,a,8138,a(flip),b,12368,a)]. 12370 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2889(a,1),9792(a,1,1,1,2))]. 12371 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(255,a,18,a(flip),b,11284,a)]. 12373 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(11282(a,1),12371(a,1,3))]. 12375 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(12197(a,1),12373(a,1,3))]. 12376 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [para(12375(a,1),112(a,1,2))]. 12377 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(255,a,12225,a(flip),b,12376,a(flip))]. 12378 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5608(a,1),12377(a,1,2))]. 12379 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(8236(a,1),12378(a,1,1,1)),flip(a)]. 12380 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(173,a,12379,a),flip(a)]. 12382 K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(4882(a,1),12370(a,1,1,1))]. 12383 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). [para(126(a,1),12382(a,1,1,1)),flip(a)]. 12385 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). [para(2889(a,1),12383(a,2,1,3,2))]. 12386 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). [para(18(a,1),12385(a,2,1,3))]. 12388 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4857(a,1),12386(a,2,1))]. 12389 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(70(a,1),12388(a,1,1,1,1,2))]. 12390 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(2889(a,1),12389(a,1,1,2))]. 12391 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(255,a,6038,a(flip),b,12390,a(flip)),flip(a)]. 12393 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). [para(37(a,2),12391(a,1,1,1,1)),flip(a)]. 12394 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(10487(a,1),12393(a,2,1,1))]. 12395 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(255,a,7622,a(flip),b,12394,a)]. 12396 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(37(a,2),12395(a,1,1,3))]. 12397 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7542(a,1),12396(a,2,1))]. 12398 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(255,a,7206,a(flip),b,12397,a(flip)),flip(a)]. 12399 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [para(12398(a,1),6918(a,2,2))]. 12401 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [hyper(255,a,112,a(flip),b,12399,a)]. 12402 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [para(7559(a,1),12401(a,2,2))]. 12403 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [hyper(6893,a,12402,a)]. 12404 K(x * y,z) * x = x * K(y * x,z). [hyper(11395,a,12403,a),flip(a)]. 12405 K(x * y,T(z,y)) = K(y * x,z). [hyper(8290,a,12404,a),flip(a)]. 12406 K(x * y,T(z,x)) = K(y * x,z). [hyper(7651,a,12404,a)]. 12410 K(x * (y / x),z) = K(y,T(z,x)). [para(21(a,1),12405(a,1,1)),flip(a)]. 12412 K(T(x,y),z * y) = 1 / K(y * z,x). [para(12405(a,1),5394(a,1,2)),flip(a)]. 12414 K((x \ y) * x,z) = K(y,T(z,x)). [para(19(a,1),12406(a,1,1)),flip(a)]. 12416 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(12406(a,1),12062(a,1,1))]. 12417 K(T(x,y) * y,z) = K(x * y,T(z,x)). [para(4127(a,2),12410(a,1,1))]. 12419 K((x \ y) * x,T(y,z)) = 1. [hyper(255,a,403,a(flip),b,12414,a)]. 12420 T(x,(y \ z) * y) = x / K(z,T(x,y)). [para(12414(a,1),5197(a,2,2))]. 12421 K(T(x,y),z * y) = K(x,y * z). [hyper(255,a,5394,a(flip),b,12412,a)]. 12422 K(x,T(y * z,z)) = K(x,z * y). [hyper(7899,a,12421,a)]. 12423 K(x,T(y * z,y)) = K(x,z * y). [hyper(8571,a,12422,a)]. 12424 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [hyper(8551,a,12422,a)]. 12427 K(x,(y \ z) * y) = K(x,T(z,y)). [para(19(a,1),12423(a,1,2,1)),flip(a)]. 12429 T(x * y,T(z,x)) \ 1 = (x * y) \ K(z,y * x). [para(12423(a,1),7581(a,2,2))]. 12430 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(12423(a,1),11113(a,1,2)),flip(a)]. 12431 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(5025(a,1),12427(a,1,2)),flip(a)]. 12432 K(T(x \ y,x) * x,y) = 1. [hyper(255,a,12419,a(flip),b,12417,a)]. 12433 x * K(T(y \ z,y) * y,z) = x. [para(12432(a,2),17(a,1,2))]. 12434 T(x,(y \ z) * y) = T(x,T(z,y)). [hyper(255,a,7594,a(flip),b,12420,a)]. 12435 T(x,T(y * z,y)) = T(x,z * y). [para(18(a,1),12434(a,1,2,1)),flip(a)]. 12444 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(255,a,10161,a(flip),b,12424,a(flip))]. 12446 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(8504,a,12430,a)]. 12449 K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. [para(12431(a,1),5403(a,1))]. 12453 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(255,a,8503,a(flip),b,12446,a(flip))]. 12459 T(K(x,y) * K(z,x),T(u,K(x,y))) \ 1 = K(x,T(z,u)) * K(y,T(x,u)). [hyper(255,a,12038,a(flip),b,12429,a)]. 12466 K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). [para(11980(a,1),12416(a,1,1,1))]. 12469 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(255,a,8436,a(flip),b,12453,a(flip))]. 12470 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(8504,a,12469,a)]. 12471 K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). [para(5845(a,2),12470(a,2,2))]. 12472 T(K(x,y) * K(y,z),u) \ 1 = K(y,T(x,u)) * K(z,T(y,u)). [para(10301(a,1),12459(a,1,1))]. 12473 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(255,a,12248,a(flip),b,12472,a(flip))]. 12474 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(12473(a,1),10284(a,1,1)),flip(a)]. 12475 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [hyper(255,a,11206,a(flip),b,12474,a(flip))]. 12481 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(10746(a,1),12475(a,1,1)),flip(a)]. 12483 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(12481(a,1),12120(a,2,1))]. 12484 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(12111(a,1),12483(a,2,1,1))]. 12486 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(7464(a,1),12484(a,1,1,1))]. 12488 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(10189(a,1),12486(a,1,1))]. 12489 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(9374(a,1),12488(a,1,1)),flip(a)]. 12490 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(80,a,12489,a(flip),b,637,a)]. 12491 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(255,a,11303,a(flip),b,12490,a(flip))]. 12492 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(10020(a,1),12491(a,2,2))]. 12493 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(255,a,10022,a(flip),b,12492,a)]. 12496 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(38,a,12493,a)]. 12497 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(12496(a,1),11372(a,1,2))]. 12498 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(10047(a,1),12497(a,1,1,2,1))]. 12499 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(467,a,12498,a),flip(a)]. 12501 R(a(x,y,x),z,u) = a(x,y,x). [hyper(22,a,10017,a(flip),b,12499,a)]. 12503 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(255,a,458,a,b,12501,a(flip)),flip(a)]. 12504 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(255,a,12109,a(flip),b,12501,a(flip)),flip(a)]. 12505 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(255,a,10302,a(flip),b,12501,a(flip))]. 12506 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(12501(a,1),122(a,1,1)),flip(a)]. 12508 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (a(u,z,u) * (K(z,u) * y)) \ (K(u * z,u) * (y * x)). [para(12501(a,1),9186(a,1,1,1)),flip(a)]. 12509 L(x,y,a(z,u,z)) = x. [para(12501(a,1),12496(a,1,3))]. 12510 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(12509(a,1),483(a,1,2))]. 12511 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(12509(a,1),425(a,1,2,1)),flip(a)]. 12514 a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). [hyper(255,a,11585,a,b,12504,a)]. 12515 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(12504(a,1),12116(a,1,2)),flip(a)]. 12516 a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). [hyper(11949,a,12514,a),flip(a)]. 12518 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5984(a,1),12505(a,1,2)),flip(a)]. 12519 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(12506(a,1),29(a,2,1)),flip(a)]. 12520 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(10017(a,1),12506(a,1,1))]. 12522 a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). [para(37(a,1),12516(a,1,2))]. 12524 (x * a(y,x,y)) * z = x * (a(y,x,y) * z). [hyper(255,a,11727,a(flip),b,12520,a)]. 12525 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(255,a,9182,a(flip),b,12515,a)]. 12527 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(10351,a,12525,a),flip(a)]. 12528 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(255,a,11059,a,b,12522,a(flip)),flip(a)]. 12529 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(255,a,11327,a(flip),b,12527,a(flip)),flip(a)]. 12530 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(255,a,12139,a(flip),b,12529,a(flip)),flip(a)]. 12534 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(255,a,12176,a(flip),b,12530,a(flip)),flip(a)]. 12536 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(255,a,11918,a(flip),b,12534,a(flip))]. 12537 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(10036(a,1),12503(a,1,1,1))]. 12539 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(255,a,11519,a(flip),b,12518,a(flip)),flip(a)]. 12540 a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). [hyper(255,a,11473,a(flip),b,12528,a(flip))]. 12541 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(255,a,12256,a,b,12540,a),flip(a)]. 12543 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(255,a,11970,a(flip),b,12536,a(flip)),flip(a)]. 12544 R(K(x,y),z,u) = K(R(x,z,u),y). [para(5911(a,1),12543(a,1,1))]. 12545 R(K(x,y),K(x,z),u) = K(x,y). [para(4610(a,1),12544(a,2,1))]. 12550 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(12544(a,1),9993(a,1,1,1,2))]. 12552 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [para(12545(a,1),122(a,1,1)),flip(a)]. 12553 L(x,K(y,z),K(y,u)) = x. [hyper(422,a,12552,a)]. 12554 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(255,a,6306,a(flip),b,12553,a(flip)),flip(a)]. 12555 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(255,a,6144,a(flip),b,12553,a(flip)),flip(a)]. 12557 (K(x,y) * K(x,z)) \ 1 = K(z,x) * K(y,x). [hyper(255,a,6108,a,b,12555,a)]. 12558 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. [para(12555(a,1),7325(a,2,1))]. 12559 K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. [hyper(255,a,6555,a(flip),b,12554,a(flip))]. 12560 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(11906,a,12550,a)]. 12561 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [para(60(a,1),12560(a,1,2))]. 12562 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(92,a,12561,a),flip(a)]. 12564 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(12561(a,1),91(a,1)),flip(b)]. 12565 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(255,a,12544,a(flip),b,12562,a(flip)),flip(a)]. 12571 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(12562(a,1),12197(a,1,2))]. 12572 T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). [para(12562(a,1),12224(a,2,1,2))]. 12573 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(7317,a,12565,a),flip(a)]. 12576 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(12544(a,1),12564(a,1))]. 12577 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(255,a,12202,a(flip),b,12571,a(flip)),flip(a)]. 12578 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(12577(a,2),12239(a,2,1)),flip(a)]. 12579 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(255,a,12241,a,b,12578,a(flip)),flip(a)]. 12581 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(12576,a,12573,a)]. 12582 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(5252(a,2),12572(a,2,1))]. 12583 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(3531(a,1),12559(a,1,2)),flip(a)]. 12584 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(255,a,5683,a(flip),b,12583,a)]. 12585 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(8605(a,1),12584(a,2,2))]. 12586 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))). [para(12585(a,1),12357(a,1,2)),flip(a)]. 12587 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(122(a,1),12537(a,1,1))]. 12588 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12524(a,1),12587(a,1,1,1))]. 12589 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(19(a,1),12588(a,1,2,1))]. 12590 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(11728(a,1),12589(a,1,1,1)),flip(a)]. 12591 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(255,a,35,a,b,12590,a)]. 12592 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(18(a,1),12591(a,1,2,2)),flip(a)]. 12593 a(x,R(y,z,u),x) = a(x,y,x). [hyper(255,a,12501,a(flip),b,12592,a(flip))]. 12595 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(12593(a,1),9169(a,1,1))]. 12596 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(12593(a,1),9189(a,1,1)),flip(a)]. 12597 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(255,a,9189,a(flip),b,12596,a)]. 12598 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(12597(a,1),12355(a,1,2))]. 12599 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [hyper(10069,a,12595,a)]. 12600 (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). [para(12599(a,2),4449(a,1,1))]. 12601 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(718(a,1),12598(a,1,2)),flip(a)]. 12603 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(12601(a,1),5182(a,2,2)),flip(a)]. 12604 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(255,a,12342,a(flip),b,12603,a(flip)),flip(a)]. 12605 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(12202(a,1),12604(a,1,1))]. 12606 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(255,a,12380,a,b,12605,a(flip))]. 12607 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(584(a,1),12606(a,2,1,2))]. 12608 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(255,a,5911,a,b,12607,a(flip)),flip(a)]. 12609 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(21(a,1),12607(a,1,1))]. 12610 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(255,a,9020,a(flip),b,12609,a(flip)),flip(a)]. 12611 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(255,a,12444,a(flip),b,12610,a(flip)),flip(a)]. 12612 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(5376(a,1),12611(a,2,1))]. 12613 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). [hyper(255,a,10565,a(flip),b,12600,a(flip)),flip(a)]. 12614 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(12607(a,1),12608(a,1,1))]. 12616 a(L(x,y,z),T(u,L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [para(37(a,2),12541(a,1,2))]. 12617 a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(9754,a,12616,a)]. 12618 a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). [hyper(255,a,12504,a(flip),b,12617,a)]. 12619 L(a(x,y,x),z,u) = a(x,y,x). [hyper(255,a,11683,a(flip),b,12618,a(flip)),flip(a)]. 12622 a(x,y * K(z,y),x) = a(x,y,x). [hyper(255,a,12505,a,b,12619,a(flip)),flip(a)]. 12624 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(12619(a,1),112(a,1,2))]. 12627 a(x,T(y,z),x) = a(x,y,x). [para(5266(a,1),12622(a,1,2)),flip(a)]. 12628 a(x,y / z,x) = a(x,z \ y,x). [para(5268(a,1),12622(a,1,2))]. 12631 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(187(a,1),12627(a,1,2)),flip(a)]. 12632 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(476(a,1),12627(a,1,2)),flip(a)]. 12635 a(x,y / (z * y),x) = a(x,z \ 1,x). [hyper(255,a,11204,a(flip),b,12628,a)]. 12636 a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). [para(11216(a,1),12635(a,1,2,2)),flip(a)]. 12637 R(x,y,a(z,u,z)) = x. [hyper(10811,a,12624,a)]. 12662 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(255,a,12631,a(flip),b,12632,a(flip)),flip(a)]. 12663 a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). [hyper(255,a,12593,a(flip),b,12662,a(flip))]. 12665 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(12663(a,1),10044(a,1,2,1)),flip(a)]. 12686 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [hyper(255,a,10044,a(flip),b,12665,a)]. 12719 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(12506(a,1),12511(a,2,1))]. 12720 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(255,a,12510,a(flip),b,12719,a)]. 12721 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(35(a,2),12720(a,2,2))]. 12722 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(12509(a,1),12721(a,1,2))]. 12723 T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(12722(a,2),12367(a,1,1,2))]. 12724 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(12506(a,1),12519(a,1,2,1))]. 12725 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(5436(a,1),12539(a,2,2))]. 12726 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(9179,a,12725,a)]. 12727 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(12619(a,1),12726(a,1,1))]. 12728 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(255,a,12628,a(flip),b,12727,a)]. 12730 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(33(a,2),12728(a,2,2))]. 12731 a(x,L(y,z,u),x) = a(x,y,x). [hyper(255,a,12619,a(flip),b,12730,a(flip))]. 12733 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(241(a,1),12731(a,1,2))]. 12734 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [para(1977(a,2),12731(a,1,2)),flip(a)]. 12735 R(x,L(y,z,u),x) = x * a(x,y,x). [para(12731(a,1),9159(a,1,2)),flip(a)]. 12736 R(x,L(y,z,u),x) = R(x,y,x). [hyper(255,a,9159,a(flip),b,12735,a)]. 12737 L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(12736(a,1),12347(a,1,2,1))]. 12738 L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. [para(12734(a,1),9366(a,1,1)),flip(a)]. 12739 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [hyper(255,a,9366,a(flip),b,12738,a)]. 12740 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(12506(a,1),12724(a,1,2))]. 12741 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(754,a,12740,a)]. 12742 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(255,a,12509,a(flip),b,12741,a(flip))]. 12744 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(19(a,1),12742(a,1,1)),flip(a)]. 12745 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(9185(a,1),12742(a,1,1))]. 12746 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(9150(a,1),12742(a,1,1))]. 12747 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(9149(a,1),12744(a,1,1))]. 12748 a(K(x \ 1,y),z,u) = a(K(x \ y,y),z,u). [para(9173(a,1),12744(a,1,1))]. 12749 a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u). [para(19(a,1),12745(a,1,1,1))]. 12750 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(255,a,12612,a,b,12747,a(flip)),flip(a)]. 12751 a(K(x,y \ x),z,u) = a(K(y,x),z,u). [hyper(255,a,12746,a(flip),b,12749,a)]. 12752 a(K(x \ y,y),z,u) = a(K(y,x),z,u). [para(5584(a,1),12751(a,1,1)),flip(a)]. 12753 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [hyper(255,a,12748,a,b,12752,a(flip)),flip(a)]. 12754 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(3312(a,1),12753(a,1,1)),flip(a)]. 12755 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(11344(a,2),12753(a,2,1)),flip(a)]. 12756 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(255,a,12201,a,b,12754,a(flip)),flip(a)]. 12757 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(12565(a,1),12754(a,2,1))]. 12758 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(255,a,6782,a(flip),b,12750,a(flip)),flip(a)]. 12759 ((x * (y \ R(y,z,u))) / ((x * (y \ R(y,z,u))) / x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [hyper(255,a,6333,a(flip),b,12750,a(flip)),flip(a)]. 12760 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(255,a,12255,a,b,12757,a(flip)),flip(a)]. 12761 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(255,a,12754,a(flip),b,12757,a(flip)),flip(a)]. 12762 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6387(a,1),12755(a,2,1))]. 12763 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(255,a,12753,a(flip),b,12762,a)]. 12764 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(11344(a,1),12763(a,1,1))]. 12765 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(255,a,12761,a(flip),b,12764,a)]. 12766 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(12756(a,1),12760(a,1,1)),flip(a)]. 12767 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(255,a,12614,a(flip),b,12766,a)]. 12768 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(255,a,12765,a(flip),b,12767,a(flip)),flip(a)]. 12769 L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(12736(a,1),12737(a,1,2,2,1))]. 12771 L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4563(a,2),12769(a,1,2))]. 12773 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4621(a,1),12771(a,1,2,2))]. 12774 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(12435(a,1),12773(a,1,2))]. 12775 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(716(a,1),12774(a,1,2)),flip(a)]. 12776 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(255,a,10085,a(flip),b,12775,a(flip)),flip(a)]. 12777 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(80,a,12776,a(flip),b,5252,a(flip))]. 12778 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(9146,a,12777,a),flip(a)]. 12779 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(255,a,11633,a(flip),b,12778,a)]. 12780 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(21(a,1),12779(a,1,1))]. 12781 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(255,a,7101,a(flip),b,12780,a(flip)),flip(a)]. 12782 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(11579(a,1),12781(a,2,3))]. 12783 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(255,a,11707,a(flip),b,12782,a)]. 12785 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(255,a,11002,a(flip),b,12783,a(flip)),flip(a)]. 12786 ((x * (L(y,z,u) \ y)) / ((x * (L(y,z,u) \ y)) / x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [hyper(255,a,6333,a(flip),b,12785,a(flip)),flip(a)]. 12787 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(21(a,1),12785(a,1,2))]. 12788 K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w). [para(12785(a,1),5605(a,1,2,1)),flip(a)]. 12789 K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). [hyper(255,a,10206,a(flip),b,12788,a)]. 12790 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [para(12789(a,1),11709(a,1,3)),flip(a)]. 12791 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [hyper(255,a,11723,a(flip),b,12790,a(flip)),flip(a)]. 12792 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(12790(a,1),9958(a,1,2))]. 12793 a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). [para(12791(a,1),11912(a,1,1))]. 12794 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(6939,a,12787,a)]. 12795 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(255,a,11019,a(flip),b,12794,a(flip)),flip(a)]. 12796 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(11582(a,1),12795(a,2,3))]. 12797 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(73(a,1),12796(a,2,3,1))]. 12800 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(12797(a,1),5605(a,1,2,1)),flip(a)]. 12801 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(255,a,10206,a(flip),b,12800,a)]. 12802 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(12801(a,1),5252(a,2,2))]. 12803 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(9970(a,1),12792(a,1,2)),flip(a)]. 12804 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(255,a,17,a(flip),b,12803,a)]. 12806 K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). [para(12804(a,1),5605(a,1,2,1)),flip(a)]. 12807 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(255,a,5605,a(flip),b,12806,a)]. 12808 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(12807(a,1),5252(a,2,2))]. 12809 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(255,a,5252,a,b,12808,a)]. 12810 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(9971(a,1),12793(a,1,1))]. 12811 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(83,a,12810,a)]. 12813 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(255,a,7105,a(flip),b,12811,a(flip)),flip(a)]. 12815 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(12813(a,1),5252(a,2,2)),flip(a)]. 12818 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(5255,a,12815,a),flip(a)]. 12819 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(12818(a,2),542(a,1,1))]. 12821 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(255,a,12802,a(flip),b,12819,a)]. 12825 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(19(a,1),12723(a,1,1,2,1)),flip(a)]. 12826 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(12825(a,1),12758(a,1,1))]. 12827 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(18(a,1),12826(a,1,2))]. 12828 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(5281,a,12827,a),flip(a)]. 12830 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(12828(a,1),12240(a,2,2))]. 12831 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(255,a,12579,a(flip),b,12830,a(flip))]. 12832 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(255,a,9527,a,b,12831,a(flip)),flip(a)]. 12833 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(8138(a,2),12832(a,2,1))]. 12834 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(9717,a,12833,a)]. 12835 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(255,a,10140,a(flip),b,12834,a(flip)),flip(a)]. 12836 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(8154(a,1),12835(a,2,1))]. 12838 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(9316(a,1),12836(a,2,1))]. 12839 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(10160,a,12838,a)]. 12842 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(255,a,10791,a(flip),b,12839,a(flip)),flip(a)]. 12844 a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). [hyper(11032,a,12636,a)]. 12845 a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). [hyper(255,a,12733,a(flip),b,12844,a(flip)),flip(a)]. 12846 a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). [para(33(a,2),12845(a,1,2,2))]. 12847 a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(5123(a,1),12846(a,1,2))]. 12848 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(255,a,11239,a(flip),b,12847,a(flip)),flip(a)]. 12849 a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). [hyper(255,a,12628,a(flip),b,12848,a),flip(a)]. 12851 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(152(a,1),12849(a,1,2,2))]. 12852 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(12851(a,1),10327(a,1,1,2))]. 12873 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(33(a,2),12471(a,1,2,2,2)),flip(a)]. 12874 (x * K(L(y,z,u) \ y,x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [para(5165(a,1),12786(a,1,1))]. 12875 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [para(18(a,1),12874(a,1,2,2))]. 12877 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(12739(a,1),12875(a,1,2))]. 12878 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(255,a,5849,a(flip),b,12877,a(flip)),flip(a)]. 12879 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(255,a,7709,a(flip),b,12878,a(flip)),flip(a)]. 12880 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(12809(a,1),12879(a,1,2,1))]. 12881 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(5491,a,12880,a)]. 12882 (x * K(y \ R(y,z,u),x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [para(5165(a,1),12759(a,1,1))]. 12883 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [para(18(a,1),12882(a,1,2,2))]. 12885 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (L(T(u,z),z,u) \ y)) \ (K(u * z,u) * (y * x)). [para(10188(a,1),12508(a,2,1))]. 12887 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (T(u,u * z) \ y)) \ (K(u * z,u) * (y * x)). [para(542(a,1),12885(a,2,1,2,1))]. 12888 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (K(u * z,u) * y) \ (K(u * z,u) * (y * x)). [para(5225(a,1),12887(a,2,1))]. 12889 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = L(x,y,K(u * z,u)). [hyper(255,a,33,a,b,12888,a)]. 12890 L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). [para(12501(a,1),12889(a,1,3))]. 12891 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [hyper(255,a,12509,a(flip),b,12890,a(flip))]. 12894 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(19(a,1),12891(a,1,3,1)),flip(a)]. 12895 L(x,y / z,K(y,z)) = x. [hyper(255,a,7635,a(flip),b,12894,a(flip))]. 12896 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(12895(a,1),5702(a,1,2)),flip(a)]. 12897 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5622,a,12896,a)]. 12898 R(K(x,y),x \ y,z) = K(x,y). [hyper(9574,a,12897,a)]. 12899 R(K(x,x * y),y,z) = K(x,x * y). [para(18(a,1),12898(a,1,2))]. 12901 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(255,a,11966,a,b,12899,a(flip)),flip(a)]. 12902 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(12899(a,1),10515(a,2,2))]. 12904 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(12901(a,1),11971(a,1,1))]. 12905 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(255,a,5252,a,b,12902,a)]. 12907 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(255,a,4903,a(flip),b,12905,a(flip)),flip(a)]. 12908 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(21(a,1),12907(a,1,2,1,2))]. 12909 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(255,a,8918,a,b,12908,a(flip)),flip(a)]. 12910 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(255,a,5252,a(flip),b,12909,a),flip(a)]. 12911 K(x,(x * y) / z) = K(x,x * (y / z)). [hyper(22,a,8718,a,b,12910,a),flip(a)]. 12912 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(22,a,5252,a(flip),b,12910,a),flip(a)]. 12913 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(6392,a,12911,a)]. 12914 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(12912(a,1),8289(a,1,1,2))]. 12915 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(12913(a,1),7208(a,1,1))]. 12916 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(255,a,8289,a(flip),b,12914,a(flip))]. 12917 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(255,a,8962,a(flip),b,12916,a(flip)),flip(a)]. 12918 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(9930,a,12917,a)]. 12919 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(255,a,7208,a(flip),b,12915,a(flip))]. 12920 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(255,a,12913,a(flip),b,12904,a)]. 12922 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(35(a,2),12920(a,2,2,2))]. 12923 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(12564,a,12922,a)]. 12924 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). [hyper(255,a,7337,a(flip),b,12586,a)]. 12925 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). [para(9253(a,1),12924(a,2,1,2))]. 12926 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). [para(7842(a,1),12925(a,2,1))]. 12927 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). [para(3315(a,1),12926(a,2,1,1))]. 12928 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). [para(6667(a,1),12927(a,2,2))]. 12929 K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(5998(a,1),12466(a,1,1))]. 12930 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(19(a,1),12929(a,1,2,2,1,2))]. 12932 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(9267(a,1),12930(a,1,2))]. 12933 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(12918(a,1),12932(a,1,2))]. 12934 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(7801(a,1),12933(a,1,2)),flip(a)]. 12935 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(255,a,5540,a(flip),b,12934,a)]. 12936 L(x,y / z,x) = L(x,z \ y,x). [hyper(255,a,11187,a(flip),b,12935,a(flip))]. 12938 L(x,(y \ z) \ z,x) = L(x,y,x). [para(70(a,1),12936(a,1,2)),flip(a)]. 12939 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(4038(a,2),12936(a,1,2))]. 12940 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(5427(a,2),12936(a,1,2))]. 12941 L(x,y * K(z,y),x) = L(x,y,x). [para(6145(a,1),12938(a,1,2)),flip(a)]. 12943 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5986(a,1),12941(a,1,2))]. 12944 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(255,a,12943,a(flip),b,12940,a(flip))]. 12946 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(255,a,12686,a(flip),b,12944,a(flip))]. 12948 L(x,R(y,z,u),x) = L(x,y,x). [para(18(a,1),12946(a,2,2))]. 12949 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(29(a,2),12939(a,2,2))]. 12950 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(255,a,12948,a(flip),b,12949,a(flip)),flip(a)]. 12952 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(12950(a,1),12883(a,1,2))]. 12953 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(255,a,5849,a(flip),b,12952,a(flip)),flip(a)]. 12954 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(12828(a,2),12953(a,1,1))]. 12955 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(255,a,10056,a(flip),b,12954,a(flip)),flip(a)]. 12977 (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(6125(a,1),9582(a,1,1,1))]. 12978 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(1990(a,1),12852(a,2,1))]. 12979 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [hyper(255,a,12637,a(flip),b,12978,a)]. 12981 ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [para(10066(a,1),12979(a,1,1))]. 12982 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(255,a,10567,a(flip),b,12981,a(flip)),flip(a)]. 12983 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(255,a,12821,a(flip),b,12982,a(flip))]. 12984 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(12983(a,2),12003(a,1,1))]. 12985 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(12983(a,2),12330(a,1,1))]. 12986 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(5829,a,12984,a)]. 12987 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (1 / u))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(4912(a,1),12986(a,1,1))]. 12988 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(5829,a,12985,a)]. 12989 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(11214(a,1),12987(a,1,2,1))]. 12990 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(255,a,12986,a(flip),b,12989,a(flip))]. 12994 (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5127(a,1),10227(a,1,2,1,2,2,2))]. 12995 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4896(a,1),12994(a,1,2,1,2,2))]. 12996 (x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8134(a,1),12995(a,1,2,1))]. 12997 (x \ 1) * (K(y,K(x \ 1,T(z,L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8839(a,1),12996(a,1,2,1,2))]. 12998 (x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7780(a,1),12997(a,1,2,1,2))]. 13000 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8456(a,1),12998(a,1,2,1))]. 13001 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5127(a,1),13000(a,1,2,2,1,2,1,2,2))]. 13002 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4896(a,1),13001(a,1,2,2,1,2,1,2))]. 13003 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8100(a,1),13002(a,1,2,2,1,2))]. 13004 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10233(a,1),13003(a,1,2,2,1,2,2))]. 13005 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7576(a,1),13004(a,1,2,2,1,2,2))]. 13007 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8444(a,1),13005(a,1,2,2,1,2))]. 13008 (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5333(a,1),13007(a,1,2,2,1))]. 13009 (x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(9708(a,2),13008(a,1,2))]. 13010 K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(255,a,9704,a(flip),b,13009,a(flip)),flip(a)]. 13011 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(1601(a,1),13010(a,1,2)),flip(a)]. 13012 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(255,a,8179,a(flip),b,13011,a)]. 13013 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1150(a,1),13012(a,1,1)),flip(a)]. 13014 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(255,a,12161,a,b,13013,a(flip)),flip(a)]. 13015 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1150(a,1),13014(a,1,1))]. 13016 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). [para(13015(a,1),12270(a,1,2))]. 13017 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(12271,a,13016,a),flip(a)]. 13018 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(255,a,8138,a,b,13017,a)]. 13019 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(255,a,11535,a(flip),b,13018,a(flip)),flip(a)]. 13020 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(255,a,8134,a,b,13019,a)]. 13021 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(11536,a,13020,a)]. 13022 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(255,a,12873,a,b,13021,a(flip)),flip(a)]. 13023 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,12010,a(flip),b,13022,a)]. 13024 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(8347,a,13023,a)]. 13025 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(13023(a,1),8347(a,1))]. 13026 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,8130,a,b,13024,a(flip)),flip(a)]. 13027 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). [hyper(255,a,12369,a,b,13026,a(flip)),flip(a)]. 13028 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(9497,a,13027,a)]. 13029 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,12842,a(flip),b,13028,a(flip)),flip(a)]. 13030 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(9468(a,1),13029(a,1,1)),flip(a)]. 13031 K(x,K(y * z,a(y,z,u))) = 1. [hyper(255,a,11109,a(flip),b,13030,a)]. 13032 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(13025,a,13031,a)]. 13035 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. [para(13032(a,1),9927(a,1,2)),flip(a)]. 13036 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(255,a,17,a(flip),b,13035,a)]. 13038 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(255,a,9565,a,b,13036,a(flip)),flip(a)]. 13039 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(12828(a,2),13038(a,1,1))]. 13040 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(255,a,12766,a,b,13039,a(flip)),flip(a)]. 13041 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(255,a,12768,a(flip),b,13040,a(flip)),flip(a)]. 13043 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(13041(a,1),12955(a,1,2))]. 13044 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(K(x,y),z * y,u). [hyper(255,a,10062,a(flip),b,13043,a(flip)),flip(a)]. 13045 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(5491,a,13044,a)]. 13047 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(255,a,12577,a(flip),b,13045,a)]. 13049 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(255,a,12881,a(flip),b,13047,a(flip))]. 13051 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(13049(a,1),12217(a,1,1,2))]. 13069 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(255,a,9965,a(flip),b,13051,a(flip))]. 13070 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(255,a,13049,a(flip),b,13069,a(flip))]. 13071 a(x,x \ 1,K(y,z)) = 1. [hyper(255,a,10530,a(flip),b,13069,a(flip))]. 13072 ((K(x,y) * z) * u) / a(x,z,K(u,y)) = K(x,y) * (z * u). [para(13069(a,1),141(a,1,2))]. 13073 (x * K(y,z)) * a(y,u,K(u \ x,T(z,x))) = (K(y,T(z,x)) * u) * (u \ x). [para(13069(a,1),8292(a,1,2))]. 13075 a(x \ 1,x,K(y,z)) = 1. [hyper(255,a,11238,a(flip),b,13071,a(flip)),flip(a)]. 13076 L(K(x,y),z,z \ 1) = K(x,y). [hyper(38,a,13075,a)]. 13077 K(x,L(y,z,z \ 1)) = K(x,y). [hyper(11622,a,13076,a)]. 13078 (1 / x) * (x * K(y,z)) = K(y,z). [hyper(3048,a,13076,a)]. 13082 L(K(x,y),1 / z,z) = K(x,y). [para(73(a,1),13076(a,1,3))]. 13090 K(x,(y \ 1) \ z) = K(x,y * z). [para(3064(a,1),13077(a,1,2)),flip(a)]. 13095 (x \ 1) * K(y,z) = x \ K(y,z). [para(13082(a,1),3208(a,1,2)),flip(a)]. 13098 a(x,y,K(y * x,z)) = 1. [hyper(255,a,11008,a(flip),b,13070,a)]. 13103 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [para(13070(a,1),12983(a,2,2))]. 13104 L(K(x * y,z),x,y) = K(x * y,z). [hyper(38,a,13098,a)]. 13107 (1 / x) \ K(y,z) != x * u | K(y,z) = u. [para(13078(a,1),86(a,1,2)),flip(b)]. 13119 (1 / x) \ K(y,z * u) = x * K(y,(z \ 1) \ u). [hyper(80,a,13090,a(flip),b,13078,a)]. 13135 (x \ K(y,z)) * K(z,y) = x \ 1. [hyper(6674,a,13095,a)]. 13163 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [para(6670(a,1),13135(a,1,1)),flip(a)]. 13178 K(x * y,L(z,x,y)) = K(x * y,z). [hyper(11622,a,13104,a)]. 13208 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). [hyper(255,a,12558,a,b,13163,a(flip)),flip(a)]. 13215 x * K(y,(z \ 1) \ (z \ u)) = (1 / x) \ K(y,u). [para(19(a,1),13119(a,1,2,2)),flip(a)]. 13220 (1 / x) \ K(y,T(z * u,w)) = x * K(y,T((z \ 1) \ u,w)). [para(923(a,1),13215(a,1,2,2)),flip(a)]. 13226 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = K(x,y) * (z * u). [hyper(255,a,9963,a(flip),b,13072,a(flip)),flip(a)]. 13235 K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. [hyper(41,a,13208,a)]. 13236 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [hyper(255,a,12928,a,b,13235,a(flip)),flip(a)]. 13237 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. [para(12557(a,2),13235(a,1,2))]. 13238 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1 \ 1. [para(13237(a,1),1535(a,1,1)),flip(a)]. 13239 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. [hyper(255,a,60,a(flip),b,13238,a)]. 13241 L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). [para(13239(a,1),3308(a,1,1,2))]. 13258 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [hyper(13107,a,13220,a),flip(a)]. 13259 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(255,a,12287,a,b,13258,a(flip)),flip(a)]. 13272 K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(11767(a,1),13236(a,1,1))]. 13273 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(13272(a,1),12361(a,1,2)),flip(a)]. 13276 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(59(a,1),13259(a,1,2)),flip(a)]. 13277 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(255,a,5842,a(flip),b,13276,a)]. 13278 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(255,a,10992,a(flip),b,13277,a)]. 13280 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(255,a,8772,a(flip),b,13278,a)]. 13281 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(19(a,1),13280(a,1,2,1,1,1)),flip(a)]. 13282 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(9445,a,13281,a),flip(a)]. 13283 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(12449,a,13282,a)]. 13284 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(255,a,9896,a(flip),b,13282,a(flip)),flip(a)]. 13285 K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). [hyper(255,a,11741,a(flip),b,13283,a(flip))]. 13286 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(18(a,1),13284(a,1,2,1,1)),flip(a)]. 13287 K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). [hyper(255,a,9297,a,b,13286,a(flip)),flip(a)]. 13288 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(13285(a,1),7208(a,1,1))]. 13293 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). [hyper(255,a,12585,a(flip),b,13273,a)]. 13295 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(6125(a,1),13293(a,1,2,1))]. 13296 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). [para(11767(a,1),13295(a,1,2))]. 13297 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [para(13296(a,1),73(a,1,1))]. 13298 (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(13297(a,1),3567(a,1,1,1))]. 13300 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(255,a,9298,a(flip),b,13287,a(flip))]. 13301 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(7899,a,13300,a)]. 13303 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(255,a,10623,a(flip),b,13301,a(flip))]. 13305 K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). [para(127(a,1),13303(a,1,2,1,1,2))]. 13306 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(255,a,9448,a(flip),b,13305,a(flip))]. 13307 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(9271,a,13306,a)]. 13308 K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). [hyper(255,a,5817,a(flip),b,13307,a)]. 13309 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(73(a,1),13308(a,2,2,1,1))]. 13310 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(255,a,11968,a(flip),b,13309,a),flip(a)]. 13312 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(13310(a,2),7208(a,1,1))]. 13313 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(255,a,7213,a(flip),b,13312,a(flip)),flip(a)]. 13314 K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(255,a,7208,a(flip),b,13288,a(flip))]. 13315 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(255,a,12919,a(flip),b,13314,a(flip))]. 13316 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(70(a,1),13315(a,2,2,2))]. 13317 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(255,a,13313,a,b,13316,a(flip)),flip(a)]. 13319 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(12565(a,1),13317(a,1,1))]. 13320 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(12564,a,13319,a)]. 13321 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(255,a,12565,a(flip),b,13320,a)]. 13322 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(255,a,12581,a(flip),b,13321,a(flip))]. 13324 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(255,a,12923,a(flip),b,13322,a(flip))]. 13325 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(13324(a,2),5263(a,2,1)),flip(a)]. 13326 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(5264,a,13325,a)]. 13327 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [hyper(255,a,12613,a,b,13326,a),flip(a)]. 13328 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(255,a,10558,a(flip),b,13327,a(flip)),flip(a)]. 13329 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(255,a,12582,a,b,13328,a(flip)),flip(a)]. 13331 L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(3506(a,2),13328(a,2,2,1))]. 13332 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(13069(a,1),13329(a,1,2))]. 13333 (x * K(y,z)) * a(y,u,K(x / u,z)) = (K(y,T(z,x)) * u) * (u \ x). [para(8243(a,1),13073(a,1,2,3))]. 13371 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). [para(17(a,1),13241(a,1,1)),flip(a)]. 13372 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). [para(12555(a,1),13371(a,2,3))]. 13373 (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(12555(a,1),13372(a,1,1))]. 13374 (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(12552(a,1),13373(a,1,2))]. 13375 K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)). [hyper(255,a,11507,a(flip),b,13374,a(flip)),flip(a)]. 13376 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(5608(a,1),13375(a,1,2)),flip(a)]. 13377 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(255,a,5608,a(flip),b,13376,a)]. 13380 L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(11936(a,1),13331(a,1,1))]. 13420 L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(73(a,1),13380(a,1,1,2,1,2,1))]. 13421 L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [para(10621(a,1),13420(a,1,1))]. 13422 L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [hyper(255,a,10661,a(flip),b,13421,a(flip)),flip(a)]. 13424 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x). [para(73(a,1),13422(a,1,2,2,1)),flip(a)]. 13425 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(255,a,10693,a(flip),b,13424,a)]. 13427 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(255,a,13328,a(flip),b,13425,a)]. 13428 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(19(a,1),13427(a,2,2,1))]. 13429 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(3506(a,1),13428(a,1,2,1))]. 13438 (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(12585(a,1),13298(a,1,1))]. 13439 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(13297(a,1),13438(a,1,2,2))]. 13440 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(8798(a,1),13439(a,1,2))]. 13441 (x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(10662(a,1),13440(a,1,2))]. 13442 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(13377(a,1),13441(a,1,2)),flip(a)]. 13443 ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(13297(a,1),13442(a,1,1,1,1))]. 13444 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12585(a,1),13443(a,1,1,1))]. 13445 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(13297(a,1),13444(a,1,1)),flip(a)]. 13446 L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(13445(a,1),9292(a,1,1))]. 13447 L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(8888(a,1),13446(a,1,2))]. 13448 L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [hyper(255,a,10665,a(flip),b,13447,a(flip)),flip(a)]. 13449 L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(5225(a,1),13448(a,1,2))]. 13450 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(255,a,11515,a(flip),b,13449,a(flip))]. 13452 (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(13450(a,1),12977(a,1,1))]. 13453 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z). [para(5875(a,1),13452(a,1,1,1)),flip(a)]. 13454 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),x * z). [para(5805(a,1),13453(a,2,2))]. 13455 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),x * z). [para(6403(a,1),13454(a,2,2))]. 13456 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(x \ (x * z),T(x * z,y)). [para(8986(a,1),13455(a,2,2))]. 13457 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). [para(18(a,1),13456(a,2,2,1))]. 13458 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)). [hyper(255,a,6618,a(flip),b,13457,a)]. 13460 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(255,a,9279,a(flip),b,13458,a)]. 13461 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(6125(a,1),13460(a,1,1,1))]. 13462 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(13450(a,1),13461(a,1,1))]. 13463 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5875(a,1),13462(a,1,1,1))]. 13464 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(255,a,4897,a(flip),b,13463,a(flip)),flip(a)]. 13465 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(4563(a,1),13464(a,2,1))]. 13466 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(12801(a,1),13465(a,2,2))]. 13467 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(12801(a,1),13466(a,1,1,1))]. 13468 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(255,a,13332,a(flip),b,13467,a)]. 13469 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(10629(a,1),13468(a,1,1))]. 13470 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(13103(a,2),13469(a,1,1))]. 13471 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(5831,a,13470,a)]. 13472 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(255,a,12988,a(flip),b,13471,a(flip))]. 13473 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(255,a,13429,a(flip),b,13472,a(flip))]. 13474 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(9892(a,1),13473(a,1,2,1))]. 13475 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(255,a,12990,a(flip),b,13474,a(flip)),flip(a)]. 13476 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(5184(a,2),13475(a,1,2,1,2))]. 13477 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(12433(a,1),13476(a,1,2,1)),flip(a)]. 13479 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(80,a,13477,a(flip),b,5252,a(flip))]. 13481 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(5325,a,13479,a),flip(a)]. 13483 L(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(255,a,11600,a,b,13481,a),flip(a)]. 13487 ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). [para(13481(a,1),463(a,1,2))]. 13489 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(255,a,12562,a,b,13483,a),flip(a)]. 13496 (K(x,T(y,z)) * u) * (u \ z) = z * L(K(x,y),u,u \ z). [para(13489(a,1),8303(a,2,2))]. 13516 (x * K(y,z)) * a(y,u,K(x / u,z)) = x * L(K(y,z),u,u \ x). [hyper(255,a,13333,a,b,13496,a(flip)),flip(a)]. 13517 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [para(13178(a,1),13487(a,1,2))]. 13518 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [hyper(6890,a,13517,a)]. 13519 ((x * y) * z) \ ((x * y) * R(z,x,y)) = (z * (x * y)) \ ((z * x) * y). [para(13518(a,1),11527(a,1,2))]. 13525 a(x \ y,x,K(z,u)) = a(u,x,K(y / x,z)). [hyper(9961,a,13516,a)]. 13526 a(x,y,K((y * z) / y,u)) = a(z,y,K(u,x)). [para(18(a,1),13525(a,1,1)),flip(a)]. 13528 a(x,y,K(z,T(u,y))) = a(z,y,K(u,x)). [para(8253(a,1),13526(a,1,3))]. 13529 (x * (y * z)) \ ((x * y) * z) = a(x * K(y * z,x),y,z). [hyper(7365,a,13519,a),flip(a)]. 13530 a(x * K(y * z,x),y,z) = a(x,y,z). [hyper(636,a,13529,a),flip(a)]. 13531 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [para(13530(a,1),7364(a,1,2))]. 13532 ((K(x,y) * z) * u) * a(u,z,K(x,T(y,z))) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(7559(a,1),13531(a,1,1,1))]. 13545 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(13528(a,1),13532(a,1,2))]. 13546 (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). [hyper(255,a,13226,a(flip),b,13545,a(flip))]. 13547 (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). [para(7559(a,1),13546(a,1,1))]. 13549 (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). [para(10903(a,1),13547(a,1,2))]. 13550 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(422,a,13549,a),flip(a)]. 13551 $F # answer("RKLK 3"). [resolve(13550,a,56,a)]. ============================== end of proof ========================== % Disable descendants (x means already disabled): 56 given #12089 (H,wt=13): 13550 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(422,a,13549,a),flip(a)]. given #12090 (H,wt=20): 13553 L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). [para(13550(a,1),122(a,1,1))]. given #12091 (H,wt=23): 13554 (x * y) * K(z,u) != w * (y * K(z,u)) | L(x,y,K(z,u)) = w. [para(13553(a,1),25(a,1))]. given #12092 (H,wt=33): 13543 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(8188(a,2),13542(a,1,2,2,2))]. given #12093 (H,wt=41): 13537 K(x,T(y / ((z / (z * u)) * (z * u)),y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(6246(a,1),13535(a,2,2,1))]. given #12094 (H,wt=33): 13556 K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(21(a,1),13537(a,1,2,1,2))]. given #12095 (H,wt=41): 13555 x \ (((y * T(x,K(z,u))) * K(z,u)) * ((K(z,u) * (y * T(x,K(z,w)))) \ (y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(7545(a,2),13543(a,1,2,2))]. given #12096 (H,wt=21): 13557 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(6061(a,2),13555(a,1,2))]. given #12097 (H,wt=21): 13558 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(8193(a,1),13557(a,1,2,1,2))]. given #12098 (H,wt=21): 13562 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [para(8193(a,1),13558(a,1,2))]. given #12099 (H,wt=15): 13563 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(255,a,13557,a(flip),b,13562,a(flip))]. given #12100 (H,wt=17): 13565 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(80,a,13563,a,b,5252,a(flip))]. given #12101 (H,wt=15): 13567 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(5325,a,13565,a)]. given #12102 (H,wt=17): 13566 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [para(5272(a,1),13563(a,1,2)),flip(a)]. given #12103 (H,wt=17): 13569 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(5560(a,1),13567(a,1,2)),flip(a)]. given #12104 (H,wt=17): 13571 T(x,((y * z) / y) * u) = T(x,T(z,y) * u). [para(5855(a,1),13566(a,1,2))]. given #12105 (H,wt=15): 13573 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(167(a,1),13571(a,1,2,1)),flip(a)]. given #12106 (H,wt=17): 13572 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(5537(a,2),13569(a,1,2))]. given #12107 (H,wt=18): 13568 K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. [para(13565(a,1),5325(a,1))]. given #12108 (H,wt=19): 13574 T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). [hyper(12458,a,13573,a),flip(a)]. given #12109 (H,wt=15): 13577 T(x,y * T(T(z,u),u)) = T(x,y * z). [hyper(12442,a,13574,a),flip(a)]. given #12110 (H,wt=17): 13578 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(166(a,1),13577(a,1,2,2,1)),flip(a)]. given #12111 (H,wt=19): 13579 K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). [para(13578(a,1),5182(a,2,2))]. given #12112 (H,wt=17): 13580 K(x * ((y * z) / y),u) = K(x * T(z,y),u). [hyper(255,a,5182,a,b,13579,a)]. given #12113 (H,wt=20): 13576 K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). [para(4511(a,1),13572(a,1,2,1))]. given #12114 (H,wt=17): 13582 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [hyper(255,a,12857,a(flip),b,13576,a(flip))]. given #12115 (H,wt=21): 13564 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). [para(13562(a,1),19(a,1,2)),flip(a)]. given #12116 (H,wt=21): 13570 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(7662(a,1),13567(a,1,2)),flip(a)]. given #12117 (H,wt=23): 13575 K(x,T(y,z) \ T(u,(z * y) / z)) = K(x,u / ((z * y) / z)). [hyper(255,a,12679,a(flip),b,13572,a(flip))]. given #12118 (H,wt=21): 13584 K(x,T(y,z) \ T(u,T(y,z))) = K(x,u / ((z * y) / z)). [para(8482(a,1),13575(a,1,2,2))]. given #12119 (H,wt=17): 13585 K(x,y / ((z * u) / z)) = K(x,y / T(u,z)). [hyper(255,a,12679,a(flip),b,13584,a(flip))]. given #12120 (H,wt=25): 13559 x \ T(y * T(x,K(z,u)),K(z,z * u)) = T(y,K(z * u,z) * x). [para(8364(a,1),13557(a,1,2,1,2))]. given #12121 (H,wt=23): 13588 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z * u,z) * x). [para(8364(a,1),13559(a,1,2))]. given #12122 (H,wt=17): 13589 T(x,K(y * z,y) * u) = T(x,K(z,y) * u). [hyper(255,a,13557,a(flip),b,13588,a(flip))]. given #12123 (H,wt=17): 13590 T(x,K(y,y * z) * u) = T(x,K(z,y) * u). [hyper(255,a,13563,a,b,13589,a(flip)),flip(a)]. given #12124 (H,wt=19): 13591 K(x,K(y * z,y) * u) = x \ T(x,K(z,y) * u). [hyper(80,a,13589,a(flip),b,5252,a(flip)),flip(a)]. given #12125 (H,wt=17): 13593 K(x,K(y * z,y) * u) = K(x,K(z,y) * u). [hyper(255,a,5186,a,b,13591,a)]. given #12126 (H,wt=17): 13594 K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). [para(19(a,1),13593(a,1,2,1,1)),flip(a)]. given #12127 (H,wt=23): 13592 T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). [hyper(12457,a,13590,a),flip(a)]. given #12128 (H,wt=17): 13595 T(x,y * K(z,z * u)) = T(x,y * K(u,z)). [hyper(12456,a,13592,a),flip(a)]. given #12129 (H,wt=25): 13560 x \ T(y * T(x,K(z,u)),K(z,u \ 1)) = T(y,K(u \ 1,z) * x). [para(8505(a,1),13557(a,1,2,1,2))]. given #12130 (H,wt=23): 13596 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u \ 1,z) * x). [para(8505(a,1),13560(a,1,2))]. given #12131 (H,wt=17): 13597 T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). [hyper(255,a,13557,a(flip),b,13596,a(flip))]. given #12132 (H,wt=19): 13598 K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). [hyper(80,a,13597,a(flip),b,5252,a(flip)),flip(a)]. given #12133 (H,wt=17): 13600 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [hyper(255,a,5186,a,b,13598,a)]. given #12134 (H,wt=17): 13602 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [hyper(13568,a,13600,a)]. given #12135 (H,wt=19): 13605 K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). [para(6580(a,1),13602(a,1,2,1)),flip(a)]. given #12136 (H,wt=17): 13608 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [hyper(255,a,13594,a(flip),b,13605,a(flip))]. given #12137 (H,wt=19): 13609 K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). [hyper(255,a,13569,a(flip),b,13608,a(flip)),flip(a)]. given #12138 (H,wt=17): 13611 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [para(5560(a,1),13609(a,2,2))]. given #12139 (H,wt=20): 13601 K(x,K(y \ 1,z) * u) != w | K(x,K(y,z) * u) = w. [para(13598(a,2),5325(a,1))]. given #12140 (H,wt=21): 13603 K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). [para(5525(a,1),13600(a,1,2)),flip(a)]. given #12141 (H,wt=21): 13606 K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,y \ 1)). [para(8509(a,1),13602(a,1,2)),flip(a)]. given #12142 (H,wt=17): 13613 K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). [para(8202(a,1),13606(a,1,2)),flip(a)]. given #12143 (H,wt=19): 13614 K(x * K(y,z \ 1),u) = 1 / K(u,x * K(z,y)). [para(13613(a,1),5394(a,1,2)),flip(a)]. given #12144 (H,wt=17): 13615 K(x * K(y,z \ 1),u) = K(x * K(z,y),u). [hyper(255,a,5394,a(flip),b,13614,a)]. given #12145 (H,wt=23): 13599 T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). [para(8202(a,1),13597(a,1,2)),flip(a)]. given #12146 (H,wt=21): 13617 T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)). [para(8506(a,1),13599(a,1,2,2))]. given #12147 (H,wt=17): 13618 T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). [para(127(a,1),13617(a,1,2)),flip(a)]. given #12148 (H,wt=23): 13616 K(((x * (y \ z)) / x) * y,u) = K(z * K(z \ y,x),T(u,y)). [hyper(255,a,12415,a,b,13615,a(flip)),flip(a)]. given #12149 (H,wt=25): 13610 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(7662(a,1),13608(a,1,2))]. given #12150 (H,wt=23): 13619 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [hyper(255,a,13570,a(flip),b,13610,a)]. given #12151 (H,wt=21): 13620 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(10223(a,1),13619(a,1,2))]. given #12152 (H,wt=28): 13604 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(13600(a,1),7161(a,1,1))]. given #12153 (H,wt=23): 13623 K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). [hyper(7307,a,13604,a),flip(a)]. given #12154 (H,wt=21): 13624 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(6431(a,1),13623(a,1,2,1))]. given #12155 (H,wt=28): 13607 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). [para(13602(a,1),7162(a,1,1))]. given #12156 (H,wt=23): 13625 K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). [hyper(7307,a,13607,a),flip(a)]. given #12157 (H,wt=21): 13626 K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). [para(7099(a,1),13625(a,1,2,1))]. given #12158 (H,wt=29): 13581 K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). [para(1644(a,1),13580(a,2,1))]. given #12159 (H,wt=25): 13628 K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). [para(2142(a,1),13581(a,1,1))]. given #12160 (H,wt=21): 13629 K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). [para(5238(a,1),13628(a,1,1,2)),flip(a)]. given #12161 (H,wt=19): 13630 K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). [para(5187(a,1),13629(a,1,1,2))]. given #12162 (H,wt=25): 13631 (x \ K(y \ K(z,u \ 1),w)) \ (x \ 1) = K(w,y \ K(u \ 1,z)). [para(13630(a,1),13145(a,1,1,2))]. given #12163 (H,wt=19): 13632 K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). [hyper(6796,a,13631,a),flip(a)]. given #12164 (H,wt=31): 13621 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(255,a,13556,a(flip),b,13620,a(flip)),flip(a)]. given #12165 (H,wt=29): 13633 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(255,a,13624,a(flip),b,13621,a(flip)),flip(a)]. given #12166 (H,wt=27): 13634 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(255,a,12856,a(flip),b,13633,a(flip)),flip(a)]. given #12167 (H,wt=25): 13635 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(5252(a,2),13634(a,1,2,1))]. given #12168 (H,wt=31): 13636 K(x,T(y,z) \ ((y * T(z,y)) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(4446(a,1),13635(a,1,2,1))]. given #12169 (H,wt=29): 13637 K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(127(a,1),13636(a,1,2,2,1))]. given #12170 (H,wt=27): 13638 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(127(a,1),13637(a,1,2,2,2,2))]. given #12171 (H,wt=23): 13639 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(8479(a,1),13638(a,2,2))]. given #12172 (H,wt=33): 13561 K(x \ T(y * T(x * K(z,u),K(w,v5)),K(w,v5)),u) = K(T(y,K(v5,w) * (x * K(z,u))),u). [para(13557(a,1),8891(a,1,1)),flip(a)]. given #12173 (H,wt=29): 13641 K(x \ T(y * T(x * K(z,u),K(w,v5)),K(w,v5)),u) = K(y,T(u,K(v5,w) * x)). [hyper(255,a,9594,a(flip),b,13561,a)]. given #12174 (H,wt=29): 13643 K(x \ T(y * T(x * K(z,u),K(w,v5)),K(w,v5)),u) = K(y,T(u,K(w,v5) * x)). [para(13563(a,1),13641(a,2,2))]. given #12175 (H,wt=33): 13612 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). [para(5296(a,1),13603(a,1,2,2)),flip(a)]. given #12176 (H,wt=31): 13644 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). [para(8269(a,1),13612(a,2,2,1))]. given #12177 (H,wt=29): 13645 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). [para(8235(a,1),13644(a,2,2))]. given #12178 (H,wt=21): 13646 K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). [para(5296(a,1),13645(a,1,2,2,1,2))]. given #12179 (H,wt=17): 13647 K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). [para(5521(a,1),13646(a,1,2))]. given #12180 (H,wt=19): 13648 K(x * K(y \ 1,z),u) = 1 / K(u,x * K(y,z)). [para(13647(a,1),5394(a,1,2)),flip(a)]. given #12181 (H,wt=17): 13649 K(x * K(y \ 1,z),u) = K(x * K(y,z),u). [hyper(255,a,5394,a(flip),b,13648,a)]. given #12182 (H,wt=21): 13650 K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). [hyper(255,a,12418,a(flip),b,13649,a(flip))]. given #12183 (H,wt=21): 13651 K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). [hyper(255,a,13616,a,b,13650,a(flip)),flip(a)]. given #12184 (H,wt=25): 13652 K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). [hyper(12824,a,13651,a)]. given #12185 (H,wt=21): 13653 K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). [hyper(255,a,12477,a(flip),b,13652,a),flip(a)]. given #12186 (H,wt=19): 13654 K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). [para(5031(a,1),13653(a,1,1))]. given #12187 (H,wt=17): 13655 K(((x * y) / x) / z,u) = K(T(y,x) / z,u). [hyper(8559,a,13654,a),flip(a)]. given #12188 (H,wt=23): 13656 K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). [hyper(255,a,10087,a,b,13655,a(flip)),flip(a)]. given #12189 (H,wt=21): 13657 K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). [hyper(13513,a,13656,a),flip(a)]. given #12190 (H,wt=17): 13658 K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). [hyper(13514,a,13657,a),flip(a)]. given #12191 (H,wt=15): 13659 K(x \ T(T(y,z),z),u) = K(x \ y,u). [para(5266(a,1),13658(a,1,1,2)),flip(a)]. given #12192 (H,wt=17): 13660 K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). [para(13659(a,1),5394(a,1,2)),flip(a)]. given #12193 (H,wt=15): 13661 K(x,y \ T(T(z,u),u)) = K(x,y \ z). [hyper(255,a,5394,a(flip),b,13660,a)]. given #12194 (H,wt=17): 13663 K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). [para(5216(a,1),13661(a,1,2,2,1)),flip(a)]. given #12195 (H,wt=17): 13664 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). [hyper(255,a,7003,a,b,13663,a(flip)),flip(a)]. given #12196 (H,wt=21): 13665 K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). [para(3309(a,1),13664(a,1,2,2))]. given #12197 (H,wt=23): 13662 K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). [para(4490(a,1),13661(a,1,2,2,1))]. given #12198 (H,wt=21): 13666 K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). [hyper(255,a,12683,a(flip),b,13662,a(flip)),flip(a)]. given #12199 (H,wt=17): 13667 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(4452(a,1),13666(a,1,2,2)),flip(a)]. given #12200 (H,wt=19): 13668 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [hyper(255,a,13639,a(flip),b,13667,a(flip))]. given #12201 (H,wt=33): 13622 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (((u \ 1) \ 1) \ z))). [para(6428(a,1),13620(a,1,2,2,2)),flip(a)]. given #12202 (H,wt=29): 13670 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(10242(a,1),13622(a,2,2))]. given #12203 (H,wt=27): 13671 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(8483(a,1),13670(a,1,2))]. given #12204 (H,wt=21): 13672 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(9858(a,1),13671(a,1,2)),flip(a)]. given #12205 (H,wt=19): 13673 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). [hyper(255,a,8535,a(flip),b,13672,a)]. given #12206 (H,wt=23): 13675 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [hyper(255,a,13544,a(flip),b,13673,a(flip)),flip(a)]. given #12207 (H,wt=34): 13627 K(x,(y * K(z \ 1,u)) \ K(u,K(y * K(u,z),z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(8145(a,1),13626(a,2,2))]. given #12208 (H,wt=30): 13677 K(x,(y * K(z \ 1,u)) \ K(u,K(y,z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(8007(a,1),13627(a,1,2,2,2))]. given #12209 (H,wt=30): 13679 K(x,(y * K(z \ 1,u)) \ K(y,K(z,u))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(8138(a,2),13677(a,1,2,2))]. given #12210 (H,wt=26): 13680 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). [para(8457(a,1),13679(a,1,2)),flip(a)]. given #12211 (H,wt=24): 13681 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(255,a,6609,a(flip),b,13680,a)]. given #12212 (H,wt=19): 13682 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(255,a,12857,a(flip),b,13681,a(flip)),flip(a)]. given #12213 (H,wt=17): 13683 K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). [hyper(6899,a,13682,a),flip(a)]. given #12214 (H,wt=17): 13687 K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). [hyper(255,a,13632,a,b,13683,a(flip)),flip(a)]. given #12215 (H,wt=19): 13688 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). [hyper(255,a,13665,a(flip),b,13687,a(flip))]. given #12216 (H,wt=17): 13689 K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). [hyper(255,a,13664,a(flip),b,13688,a(flip))]. given #12217 (H,wt=17): 13690 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(70(a,1),13689(a,1,2,2,2)),flip(a)]. given #12218 (H,wt=21): 13691 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(7631(a,1),13690(a,1,2,2)),flip(a)]. given #12219 (H,wt=35): 13676 K(x,T(y,T(y,z) / z) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(4489(a,1),13675(a,1,2,2,1))]. given #12220 (H,wt=33): 13692 K(x,T(y,z \ y) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(8804(a,1),13676(a,1,2,1))]. given #12221 (H,wt=29): 13693 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(4489(a,1),13692(a,1,2,2,2,2))]. given #12222 (H,wt=27): 13695 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [hyper(255,a,13611,a(flip),b,13693,a(flip)),flip(a)]. given #12223 (H,wt=25): 13696 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(12646(a,1),13695(a,2,2))]. given #12224 (H,wt=21): 13697 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(255,a,13667,a(flip),b,13696,a(flip)),flip(a)]. given #12225 (H,wt=37): 13669 K(x,T(y * z,(y * z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(6964(a,1),13668(a,1,2,2,2))]. given #12226 (H,wt=35): 13698 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(255,a,12675,a(flip),b,13669,a(flip)),flip(a)]. given #12227 (H,wt=33): 13699 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(13618(a,1),13698(a,1,2,2))]. given #12228 (H,wt=33): 13700 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). [para(5842(a,1),13699(a,1,2,2,2,2))]. given #12229 (H,wt=31): 13701 K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(13595(a,1),13700(a,1,2,2))]. given #12230 (H,wt=29): 13702 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(5252(a,2),13701(a,1,2,2,2))]. given #12231 (H,wt=27): 13703 K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(12680,a,13702,a)]. given #12232 (H,wt=25): 13704 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [hyper(255,a,13582,a(flip),b,13703,a(flip))]. given #12233 (H,wt=25): 13705 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(8576(a,1),13704(a,1,2))]. given #12234 (H,wt=23): 13706 K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))). [hyper(8581,a,13705,a),flip(a)]. given #12235 (H,wt=47): 13707 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T((z * u) \ z,z * u))). [para(5523(a,1),13706(a,1,2,1)),flip(a)]. given #12236 (H,wt=43): 13708 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z / (z * u))). [para(8481(a,1),13707(a,2,2,2))]. given #12237 (H,wt=43): 13709 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z \ (u \ z))). [para(8880(a,1),13708(a,2,2,2))]. given #12238 (H,wt=41): 13710 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T(u,z))). [hyper(255,a,13691,a(flip),b,13709,a)]. given #12239 (H,wt=39): 13711 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z * u,u)) \ T(y,T(u,z))). [hyper(255,a,13626,a(flip),b,13710,a)]. given #12240 (H,wt=37): 13712 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z,u)) \ T(y,T(u,z))). [hyper(255,a,12856,a(flip),b,13711,a)]. given #12241 (H,wt=35): 13713 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(z,u) \ T(y,T(u,z))). [para(5252(a,2),13712(a,2,2,1))]. given #12242 (H,wt=33): 13714 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [hyper(255,a,13697,a(flip),b,13713,a)]. given #12243 (H,wt=25): 13715 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(19(a,1),13714(a,1,2,1,2))]. given #12244 (H,wt=21): 13716 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(7479(a,1),13715(a,1,2))]. given #12245 (H,wt=19): 13717 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(12435(a,1),13716(a,1,2)),flip(a)]. given #12246 (H,wt=19): 13718 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(20(a,1),13717(a,1,2,1)),flip(a)]. given #12247 (H,wt=15): 13720 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(20(a,1),13718(a,1,2,1)),flip(a)]. given #12248 (H,wt=17): 13721 K(x,T(y,z * (u \ z))) = K(x,T(y,T(u,z))). [hyper(8581,a,13720,a),flip(a)]. given #12249 (H,wt=19): 13719 K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). [para(73(a,1),13717(a,1,2,2)),flip(a)]. given #12250 (H,wt=19): 13725 K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). [para(12687(a,1),13719(a,1,2))]. given #12251 (H,wt=17): 13726 K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). [hyper(255,a,13721,a(flip),b,13725,a(flip)),flip(a)]. given #12252 (H,wt=20): 13723 K(x,T(y,z * (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(13720(a,1),8581(a,1))]. given #12253 (H,wt=21): 13727 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). [para(13726(a,1),12016(a,1,1))]. given #12254 (H,wt=13): 13728 K(x,K(y,T(z,u))) = K(z,K(x,y)). [hyper(11277,a,13727,a)]. given #12255 (H,wt=13): 13729 K(T(x,y),K(z,u)) = K(x,K(z,u)). [hyper(8156,a,13728,a)]. given #12256 (H,wt=13): 13731 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(255,a,8138,a,b,13728,a)]. given #12257 (H,wt=13): 13732 K(x,K(y,T(z,u))) = K(x,K(z,y)). [hyper(255,a,8134,a,b,13728,a)]. given #12258 (H,wt=15): 13737 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(13729(a,1),7525(a,1,2)),flip(a)]. given #12259 (H,wt=9): 13750 T(x,K(y,K(z,u))) = x. [hyper(8210,a,13737,a)]. given #12260 (H,wt=9): 13758 K(x,K(y,K(z,u))) = 1. [hyper(41,a,13750,a)]. given #12261 (H,wt=9): 13762 K(K(x,y),K(z,u)) = 1. [hyper(8340,a,13758,a)]. given #12262 (H,wt=11): 13757 K(x,T(y,K(z,u))) = K(x,y). [hyper(9266,a,13750,a)]. given #12263 (H,wt=11): 13764 T(K(x,y),K(z,u)) = K(x,y). [hyper(42,a,13762,a)]. given #12264 (H,wt=13): 13799 T(K(x,y),T(z,u)) = T(K(x,y),z). [para(13764(a,1),7855(a,1,1)),flip(a)]. given #12265 (H,wt=14): 13785 K(x,T(y,K(z,u))) != w | K(x,y) = w. [para(13757(a,1),9339(a,1))]. given #12266 (H,wt=15): 13742 K(x,K(y,z / u)) = K(x,K(y,u \ z)). [para(129(a,1),13731(a,1,2,2)),flip(a)]. given #12267 (H,wt=15): 13745 K(x,K(y,z * u)) = K(x,K(y,u * z)). [para(12422(a,1),13731(a,1,2))]. given #12268 (H,wt=15): 13747 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [para(7552(a,1),13732(a,1,2))]. given #12269 (H,wt=15): 13748 K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). [para(12427(a,2),13732(a,1,2))]. given #12270 (H,wt=15): 13756 T(x,K(y,z) * u) = T(x,u * K(y,z)). [hyper(12441,a,13750,a)]. given #12271 (H,wt=15): 13766 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(12452,a,13757,a),flip(a)]. given #12272 (H,wt=15): 13768 K(x,K(y,z) / u) = K(x,u \ K(y,z)). [hyper(9342,a,13757,a)]. given #12273 (H,wt=15): 13784 K(x,T(y,z / u)) = K(x,T(y,u \ z)). [para(9277(a,1),13757(a,1,2)),flip(a)]. given #12274 (H,wt=15): 13787 K(x,T(y,z * u)) = K(x,T(y,u * z)). [para(12440(a,1),13757(a,1,2))]. given #12275 (H,wt=15): 13808 T(K(x,y),T(z,u)) = T(K(x,y),T(z,w)). [hyper(255,a,13799,a,b,13799,a)]. given #12276 (H,wt=15): 13817 K(x,K(y,z / u)) = K(x,K(y,z \ u)). [hyper(8561,a,13742,a)]. given #12277 (H,wt=15): 13821 K(x,K(y,z * u)) = K(y,K(x,u * z)). [hyper(8136,a,13745,a)]. given #12278 (H,wt=16): 13734 K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. [para(13728(a,2),8176(a,1))]. given #12279 (H,wt=16): 13802 T(K(x,y),z) != u | T(K(x,y),T(z,w)) = u. [para(13764(a,1),8568(a,1,1))]. given #12280 (H,wt=16): 13812 T(K(x,y),T(z,u)) != w | K(x,T(y,z)) = w. [para(13799(a,2),7895(a,1))]. given #12281 (H,wt=16): 13839 T(K(x,y),T(z,u)) != w | T(K(x,y),z) = w. [para(13808(a,1),5643(a,1))]. given #12282 (H,wt=16): 13848 K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. [para(7542(a,2),13734(a,1,2))]. given #12283 (H,wt=17): 13820 K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). [para(13089(a,2),13742(a,2,2)),flip(a)]. given #12284 (H,wt=18): 13738 K(x * y,K(z,u)) != w | K(y * x,K(z,u)) = w. [para(13729(a,1),13511(a,1))]. given #12285 (H,wt=18): 13813 K(x,K(T(y,K(z,u)),w)) != v5 | K(x,K(y,w)) = v5. [para(7522(a,2),13785(a,1,2))]. given #12286 (H,wt=18): 13815 K(x,T(y,z \ u)) != w | K(x,T(y,u / z)) = w. [para(9277(a,1),13785(a,1,2))]. given #12287 (H,wt=18): 13816 K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. [para(12440(a,1),13785(a,1,2))]. given #12288 (H,wt=18): 13822 K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. [para(13745(a,1),8136(a,1))]. given #12289 (H,wt=18): 13823 K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. [para(13747(a,2),8183(a,1))]. given #12290 (H,wt=18): 13840 T(K(x,y),T(z,u)) != w | T(K(x,y),T(z,v5)) = w. [para(13808(a,1),7798(a,1))]. given #12291 (H,wt=18): 13846 K(x,K(y,z \ u)) != w | K(x,K(y,u / z)) = w. [para(13817(a,1),8561(a,1))]. given #12292 (H,wt=18): 13847 K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. [para(13821(a,1),8136(a,1))]. given #12293 (H,wt=18): 13849 K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. [para(12405(a,1),13734(a,1,2))]. given #12294 (H,wt=18): 13859 K(x,K(y * z,u)) != w | K(u,K(z * y,x)) = w. [para(8099(a,1),13849(a,1))]. given #12295 (H,wt=19): 13749 (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. [hyper(8816,a,13737,a),flip(a)]. given #12296 (H,wt=19): 13752 K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). [hyper(255,a,8124,a(flip),b,13737,a)]. given #12297 (H,wt=19): 13824 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). [hyper(255,a,10890,a(flip),b,13748,a(flip)),flip(a)]. given #12298 (H,wt=19): 13831 (x * y) * K(z,T(u,y * x)) = K(z,u) * (x * y). [para(13787(a,1),7559(a,1,2))]. given #12299 (H,wt=19): 13860 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [para(7539(a,2),13752(a,2,2))]. given #12300 (H,wt=20): 13853 K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. [para(13180(a,2),13816(a,1,2))]. given #12301 (H,wt=20): 13855 K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. [para(13089(a,2),13846(a,1,2))]. given #12302 (H,wt=20): 13862 K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. [para(13745(a,1),13855(a,1))]. given #12303 (H,wt=21): 13761 x \ T(y * x,K(z,K(u,w))) = T(y,K(K(u,w),z) * x). [para(13750(a,1),13557(a,1,2,1,2))]. given #12304 (H,wt=15): 13863 T(x,K(K(y,z),u) * w) = w \ (x * w). [para(13750(a,1),13761(a,1,2)),flip(a)]. given #12305 (H,wt=13): 13864 T(x,K(K(y,z),u) * w) = T(x,w). [hyper(255,a,37,a,b,13863,a)]. given #12306 (H,wt=13): 13866 T(x,y * K(z,K(u,w))) = T(x,y). [para(8276(a,1),13864(a,1,2)),flip(a)]. given #12307 (H,wt=15): 13868 K(x * K(y,K(z,u)),w) = w / T(w,x). [para(13866(a,1),5182(a,2,2))]. given #12308 (H,wt=13): 13870 K(x * K(y,K(z,u)),w) = K(x,w). [hyper(255,a,5182,a,b,13868,a)]. given #12309 (H,wt=15): 13872 K(x \ T(y,K(z,u)),w) = K(x \ y,w). [para(1560(a,1),13870(a,1,1))]. given #12310 (H,wt=16): 13871 K(x * K(y,K(z,u)),w) != v5 | K(x,w) = v5. [para(13868(a,2),5289(a,1))]. given #12311 (H,wt=21): 13825 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,y * K(z,u)). [para(13756(a,1),13564(a,2,2))]. given #12312 (H,wt=21): 13827 K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). [hyper(255,a,13515,a,b,13768,a),flip(a)]. given #12313 (H,wt=17): 13878 K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). [hyper(255,a,5818,a(flip),b,13827,a)]. given #12314 (H,wt=17): 13880 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [hyper(255,a,8495,a(flip),b,13878,a(flip)),flip(a)]. given #12315 (H,wt=21): 13873 K(x,y) * (x * K(z,K(u,w))) = T(x * K(z,K(u,w)),y). [para(13870(a,1),5263(a,2,1)),flip(a)]. given #12316 (H,wt=19): 13881 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [hyper(5634,a,13873,a),flip(a)]. given #12317 (H,wt=21): 13876 T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). [para(13825(a,1),8198(a,1,1))]. given #12318 (H,wt=22): 13744 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). [para(8320(a,1),13731(a,1,2))]. given #12319 (H,wt=22): 13751 K(x,K(y,L(z,u,w))) * (w * u) = w * (u * K(x,K(y,z))). [hyper(255,a,8848,a(flip),b,13737,a)]. given #12320 (H,wt=22): 13826 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y,z))). [para(11609(a,1),13766(a,2,2))]. given #12321 (H,wt=22): 13845 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(33(a,2),13817(a,2,2,2))]. given #12322 (H,wt=22): 13861 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(13860(a,2),24(a,1))]. given #12323 (H,wt=22): 13883 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [hyper(255,a,13742,a,b,13744,a)]. given #12324 (H,wt=22): 13885 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [para(20(a,1),13883(a,1,2,2,1)),flip(a)]. given #12325 (H,wt=23): 13741 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,1 / L(1 / y,u,w))). [hyper(255,a,8381,a(flip),b,13731,a(flip)),flip(a)]. given #12326 (H,wt=21): 13888 K(x,T(L(K(y,z),u,w),v5)) = K(x,1 / L(K(y,z),u,w)). [para(6482(a,1),13741(a,2,2))]. given #12327 (H,wt=19): 13889 K(x,T(L(K(y,z),u,w),v5)) = K(x,L(K(y,z),u,w)). [hyper(255,a,8974,a(flip),b,13888,a)]. given #12328 (H,wt=22): 13890 K(x,T(L(K(y,z),u,w),v5)) != v6 | K(x,K(z,L(y,u,w))) = v6. [para(13889(a,2),9007(a,1))]. given #12329 (H,wt=23): 13882 T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). [para(13881(a,2),8166(a,1,1))]. given #12330 (H,wt=24): 13819 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,u / (z * y))). [hyper(255,a,8957,a,b,13742,a),flip(a)]. given #12331 (H,wt=22): 13892 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [hyper(255,a,8470,a(flip),b,13819,a)]. given #12332 (H,wt=22): 13893 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [hyper(13823,a,13892,a)]. given #12333 (H,wt=24): 13884 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y \ 1,z))). [hyper(13601,a,13826,a)]. given #12334 (H,wt=21): 13895 K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). [hyper(255,a,13826,a(flip),b,13884,a(flip))]. given #12335 (H,wt=23): 13896 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). [hyper(255,a,7918,a,b,13895,a(flip)),flip(a)]. given #12336 (H,wt=21): 13897 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). [para(5252(a,2),13896(a,2,2,2))]. given #12337 (H,wt=19): 13898 K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). [hyper(255,a,13088,a(flip),b,13897,a(flip)),flip(a)]. given #12338 (H,wt=17): 13899 K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). [hyper(255,a,13585,a(flip),b,13898,a(flip)),flip(a)]. given #12339 (H,wt=17): 13900 K(x,y * T(z,z * (x * y))) = K(x,z * y). [hyper(13198,a,13899,a),flip(a)]. given #12340 (H,wt=15): 13901 K(x,y * T(z,x * y)) = K(x,z * y). [hyper(12661,a,13900,a)]. given #12341 (H,wt=17): 13902 T(x,y * T(z,x * y)) = K(x,z * y) * x. [para(13901(a,1),5263(a,2,1))]. given #12342 (H,wt=15): 13903 T(x,y * T(z,x * y)) = T(x,z * y). [hyper(255,a,5263,a,b,13902,a)]. given #12343 (H,wt=24): 13894 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(37(a,2),13893(a,1,2,1,1))]. given #12344 (H,wt=25): 13856 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. [para(122(a,1),13847(a,1,2,2))]. given #12345 (H,wt=25): 13875 K(x \ (y * T(x * K(z,u),K(w,v5))),u) = K(y,T(u,K(w,v5) * x)). [hyper(255,a,13643,a(flip),b,13872,a(flip))]. given #12346 (H,wt=25): 13906 K(x * K(y * K(z,u),K(w,v5)),T(u,y)) = K(x,T(u,K(w,v5) * y)). [hyper(255,a,10649,a(flip),b,13875,a(flip)),flip(a)]. given #12347 (H,wt=15): 13907 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(13871,a,13906,a),flip(a)]. given #12348 (H,wt=15): 13909 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [hyper(13816,a,13907,a)]. given #12349 (H,wt=15): 13919 K(x,T(y,z / K(u,w))) = K(x,T(y,z)). [para(21(a,1),13909(a,1,2,2)),flip(a)]. given #12350 (H,wt=15): 13928 K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). [hyper(8570,a,13919,a)]. given #12351 (H,wt=19): 13921 K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [para(6878(a,1),13909(a,1,2,2))]. given #12352 (H,wt=20): 13925 K(x \ y,T(z,x * K(u,w))) != v5 | K(y / x,z) = v5. [para(13909(a,2),8560(a,1))]. given #12353 (H,wt=21): 13915 (x * K(y,z)) * K(u,T(w,x)) = K(u,w) * (x * K(y,z)). [para(13907(a,1),13831(a,1,2))]. given #12354 (H,wt=21): 13924 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(13909(a,1),8235(a,1,1))]. given #12355 (H,wt=21): 13929 K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). [para(13928(a,1),8235(a,1,1))]. given #12356 (H,wt=19): 13935 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [hyper(255,a,13065,a(flip),b,13929,a(flip)),flip(a)]. given #12357 (H,wt=21): 13933 K(x,K(y,z)) * (z * K(u,w)) = T(z * K(u,w),K(x,y)). [hyper(172,a,13924,a(flip),b,10111,a),flip(a)]. given #12358 (H,wt=15): 13938 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [hyper(23,a,8151,a,b,13933,a),flip(a)]. given #12359 (H,wt=15): 13940 K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). [hyper(13847,a,13938,a)]. given #12360 (H,wt=15): 13942 K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). [hyper(8562,a,13938,a)]. given #12361 (H,wt=15): 13952 K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). [hyper(255,a,8154,a,b,13942,a)]. given #12362 (H,wt=15): 13955 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [hyper(8512,a,13952,a),flip(a)]. given #12363 (H,wt=15): 13956 K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). [hyper(8183,a,13952,a)]. given #12364 (H,wt=17): 13943 K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). [para(6660(a,1),13938(a,1,2,2)),flip(a)]. given #12365 (H,wt=17): 13959 K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). [para(1574(a,1),13955(a,1,2,1))]. given #12366 (H,wt=18): 13953 K(x,K(y,K(z,u) / w)) != v5 | K(x,K(w,y)) = v5. [para(13942(a,2),8183(a,1))]. given #12367 (H,wt=18): 13957 K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. [para(13952(a,1),8512(a,1))]. given #12368 (H,wt=18): 13964 K(x,K(y,z)) != u | K(x,K(y * K(w,v5),z)) = u. [para(8445(a,1),13953(a,1))]. given #12369 (H,wt=19): 13937 T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z). [hyper(8164,a,13933,a),flip(a)]. given #12370 (H,wt=19): 13944 K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). [para(6874(a,2),13938(a,1,2,2))]. given #12371 (H,wt=19): 13945 K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). [para(6878(a,1),13938(a,1,2,2))]. given #12372 (H,wt=19): 13946 K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). [para(6879(a,2),13938(a,1,2,2))]. given #12373 (H,wt=19): 13947 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). [para(7231(a,1),13938(a,1,2,2)),flip(a)]. given #12374 (H,wt=19): 13948 K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). [para(10779(a,1),13938(a,1,2,2))]. given #12375 (H,wt=19): 13949 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(5737(a,1),13940(a,1,2,2)),flip(a)]. given #12376 (H,wt=19): 13951 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [para(10169(a,1),13940(a,1,2,2)),flip(a)]. given #12377 (H,wt=19): 13962 K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). [hyper(255,a,13955,a,b,13956,a)]. given #12378 (H,wt=19): 13965 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). [hyper(6562,a,13937,a),flip(a)]. given #12379 (H,wt=19): 13973 K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). [hyper(8561,a,13948,a)]. given #12380 (H,wt=19): 13975 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,v5 * z)). [hyper(255,a,13745,a,b,13951,a)]. given #12381 (H,wt=19): 13981 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [hyper(255,a,8453,a,b,13973,a)]. given #12382 (H,wt=21): 13936 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [hyper(255,a,13068,a,b,13935,a(flip)),flip(a)]. given #12383 (H,wt=21): 13954 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(9004,a,13952,a)]. given #12384 (H,wt=21): 13958 K(x,K(y,L(z * K(u,w),v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(8858,a,13955,a)]. given #12385 (H,wt=21): 13970 K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). [para(1574(a,1),13947(a,1,2,2,1))]. given #12386 (H,wt=21): 13974 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). [hyper(13855,a,13951,a)]. given #12387 (H,wt=19): 13994 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). [hyper(255,a,13820,a(flip),b,13974,a)]. given #12388 (H,wt=19): 13995 K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). [hyper(8561,a,13994,a)]. given #12389 (H,wt=19): 13998 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [para(8276(a,1),13995(a,1,2,2,2)),flip(a)]. given #12390 (H,wt=21): 13984 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [para(5272(a,1),13975(a,1,2,2,2))]. given #12391 (H,wt=21): 13989 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). [hyper(255,a,8847,a,b,13954,a)]. given #12392 (H,wt=21): 13991 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [para(7525(a,1),13958(a,1,2,2,1))]. given #12393 (H,wt=21): 13996 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(6027(a,1),13994(a,1,2,2,1))]. given #12394 (H,wt=21): 14000 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [hyper(255,a,13973,a(flip),b,13996,a(flip)),flip(a)]. given #12395 (H,wt=22): 13963 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [hyper(255,a,13894,a(flip),b,13959,a(flip))]. given #12396 (H,wt=22): 13972 K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. [para(13947(a,2),13847(a,1))]. given #12397 (H,wt=20): 14005 K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. [para(6663(a,1),13972(a,1,2,2))]. given #12398 (H,wt=22): 13982 K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. [para(13973(a,1),8561(a,1))]. given #12399 (H,wt=22): 13983 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. [para(13973(a,2),8561(a,1))]. given #12400 (H,wt=22): 13985 K(x,K(y,z * (K(u,w) * v5))) != v6 | K(x,K(y,z * v5)) = v6. [para(13975(a,2),13847(a,1))]. given #12401 (H,wt=22): 13986 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [hyper(255,a,13885,a(flip),b,13981,a)]. given #12402 (H,wt=22): 13988 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. [para(13981(a,1),8561(a,1))]. given #12403 (H,wt=22): 14007 K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. [para(13745(a,1),13972(a,1))]. given #12404 (H,wt=22): 14008 K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. [para(5175(a,1),13985(a,1,2,2,2))]. given #12405 (H,wt=22): 14009 K(x,K(y,((z * u) / z) * w)) != v5 | K(x,K(y,u * w)) = v5. [para(5858(a,2),13985(a,1,2,2))]. given #12406 (H,wt=22): 14010 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * z) * w)) = v5. [para(11348(a,1),13985(a,1,2,2))]. given #12407 (H,wt=23): 13930 K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [hyper(8351,a,13921,a)]. given #12408 (H,wt=22): 14012 K(x,T(y,z / (u \ w))) != v5 | K(x,T(y,z / (w / u))) = v5. [para(13930(a,1),8353(a,1))]. given #12409 (H,wt=23): 13932 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(3709(a,1),13915(a,1,2)),flip(a)]. given #12410 (H,wt=21): 14013 ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). [hyper(255,a,13218,a(flip),b,13932,a(flip))]. given #12411 (H,wt=19): 14014 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [hyper(255,a,13936,a(flip),b,14013,a(flip))]. given #12412 (H,wt=23): 13971 K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). [para(6957(a,1),13947(a,1,2,2,1))]. given #12413 (H,wt=23): 13992 K(x,K(y,((z / u) / w) * v5)) = K(x,K(y,((u \ z) / w) * v5)). [para(129(a,1),13970(a,1,2,2,1,1)),flip(a)]. given #12414 (H,wt=23): 13993 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(188(a,1),13970(a,1,2,2,1,1)),flip(a)]. given #12415 (H,wt=23): 13997 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). [para(7209(a,1),13995(a,1,2,2,2))]. given #12416 (H,wt=23): 14001 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(129(a,1),14000(a,1,2,2,2,1)),flip(a)]. given #12417 (H,wt=23): 14017 K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). [hyper(13847,a,13992,a),flip(a)]. given #12418 (H,wt=23): 14018 K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). [hyper(13847,a,13993,a)]. given #12419 (H,wt=23): 14019 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). [hyper(255,a,8453,a,b,13997,a)]. given #12420 (H,wt=23): 14021 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). [hyper(13982,a,14019,a)]. given #12421 (H,wt=24): 13990 K(x,K(y,L(K(z,u) / w,v5,v6))) != v7 | K(x,K(y,L(w,v5,v6))) = v7. [para(13954(a,2),8858(a,1))]. given #12422 (H,wt=24): 14006 K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. [para(6718(a,1),13972(a,1,2,2,1))]. given #12423 (H,wt=25): 13969 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(13945(a,2),8845(a,1,1))]. given #12424 (H,wt=26): 13931 K(x,T(y,z / (u \ w))) != K(x,y) * v5 | K(x,K(y,z / (w / u))) = v5. [para(13921(a,1),8356(a,1))]. given #12425 (H,wt=26): 14003 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [hyper(255,a,13336,a(flip),b,13963,a(flip)),flip(a)]. given #12426 (H,wt=26): 14011 K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. [para(8924(a,1),14007(a,1,2,2,2))]. given #12427 (H,wt=26): 14020 K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. [para(14018(a,1),13847(a,1))]. given #12428 (H,wt=26): 14022 K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. [para(14021(a,2),13982(a,1))]. given #12429 (H,wt=26): 14023 K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. [para(5409(a,1),14022(a,1,2,2,2,2))]. given #12430 (H,wt=27): 13891 T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). [para(13749(a,1),13882(a,1,1,1))]. given #12431 (H,wt=27): 13977 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(K(v5,v6) / y,y,v7))). [hyper(255,a,9102,a(flip),b,13962,a(flip))]. given #12432 (H,wt=23): 14025 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). [hyper(255,a,13989,a(flip),b,13977,a)]. given #12433 (H,wt=20): 14027 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). [hyper(255,a,8949,a(flip),b,14025,a)]. given #12434 (H,wt=16): 14028 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [hyper(13957,a,14027,a)]. given #12435 (H,wt=27): 13999 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(13998(a,1),13860(a,1,1))]. given #12436 (H,wt=19): 14030 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(13861,a,13999,a),flip(a)]. given #12437 (H,wt=21): 14031 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(6718(a,1),14030(a,1,2,2,1))]. given #12438 (H,wt=21): 14032 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [hyper(8570,a,14031,a)]. given #12439 (H,wt=23): 14034 K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). [para(129(a,1),14032(a,1,2,2,2,2)),flip(a)]. given #12440 (H,wt=26): 14033 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [hyper(255,a,8703,a(flip),b,14032,a)]. given #12441 (H,wt=27): 14024 T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). [hyper(6677,a,13891,a),flip(a)]. given #12442 (H,wt=27): 14035 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(14032(a,1),5452(a,1,1)),flip(a)]. given #12443 (H,wt=27): 14036 T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). [para(7539(a,2),14024(a,1,2))]. given #12444 (H,wt=27): 14037 T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(7607,a,14036,a),flip(a)]. given #12445 (H,wt=28): 13886 K(x,K(y,T(L(z,u / z,w),u / z))) = K(x,K(y,(w * u) / (w * (u / z)))). [para(8321(a,2),13883(a,1,2))]. given #12446 (H,wt=26): 14039 K(x,T(L(K(y,z),u,w),u / z)) = K(x,K(y,(w * u) / (w * (u / z)))). [para(7574(a,1),13886(a,1,2))]. given #12447 (H,wt=25): 14040 K(x,K(y,(z * u) / (z * (u / w)))) != v5 | K(x,K(w,L(y,u,z))) = v5. [para(14039(a,1),13890(a,1))]. given #12448 (H,wt=28): 13934 K(x,T(y,z)) * (z * K(u,w)) != K(x,y) * v5 | T(z * K(u,w),K(x,y)) = v5. [para(13924(a,2),173(a,2)),flip(a)]. given #12449 (H,wt=28): 13980 K(x,y) * T(z,K(u,R(w,v5,v6))) != v7 | T(K(x,y) * z,K(w,R(u,v5,v6))) = v7. [para(13965(a,1),12574(a,1))]. given #12450 (H,wt=29): 13844 T(K(x,y) * z,u) * T(K(y,x),T(w,v5)) = K(y,T(x,w)) * T(z * K(x,y),u). [para(13808(a,1),11953(a,1,2))]. given #12451 (H,wt=27): 14041 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). [para(8370(a,1),13844(a,1,2))]. given #12452 (H,wt=30): 13818 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). [hyper(255,a,9324,a,b,13742,a),flip(a)]. given #12453 (H,wt=24): 14042 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). [hyper(255,a,13952,a(flip),b,13818,a)]. given #12454 (H,wt=24): 14043 K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). [hyper(13823,a,14042,a)]. given #12455 (H,wt=23): 14045 K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). [hyper(255,a,13488,a(flip),b,14043,a(flip))]. given #12456 (H,wt=23): 14046 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). [hyper(8183,a,14045,a)]. given #12457 (H,wt=19): 14047 K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). [hyper(255,a,13824,a(flip),b,14046,a(flip))]. given #12458 (H,wt=19): 14048 K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). [para(73(a,1),14047(a,1,2,2,1,2))]. given #12459 (H,wt=17): 14049 K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). [hyper(255,a,11082,a(flip),b,14048,a(flip))]. given #12460 (H,wt=17): 14050 K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). [hyper(255,a,13946,a(flip),b,14049,a(flip))]. given #12461 (H,wt=17): 14051 K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). [hyper(8136,a,14050,a)]. given #12462 (H,wt=17): 14052 K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). [hyper(255,a,8134,a,b,14051,a)]. given #12463 (H,wt=31): 13828 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). [hyper(255,a,13509,a,b,13784,a),flip(a)]. given #12464 (H,wt=31): 14038 K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(255,a,11278,a,b,14037,a(flip)),flip(a)]. given #12465 (H,wt=31): 14053 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [para(6788(a,1),13828(a,1,2,2))]. given #12466 (H,wt=27): 14055 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(7067(a,1),14053(a,1,2)),flip(a)]. given #12467 (H,wt=23): 14056 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [hyper(255,a,18,a(flip),b,14055,a)]. given #12468 (H,wt=25): 14057 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [hyper(6149,a,14056,a),flip(a)]. given #12469 (H,wt=28): 14059 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. [para(14056(a,1),6149(a,1))]. given #12470 (H,wt=31): 14054 K(x,y) \ T(K(x,K(y,z)) * (u * K(x,y)),w) = T(K(x,y) * u,w) * K(y,T(x,z)). [para(7422(a,1),14038(a,1,2,1))]. given #12471 (H,wt=27): 14061 K(x,y) \ T(z * K(x,T(y,u)),w) = T(K(x,y) * z,w) * K(y,T(x,u)). [para(13860(a,1),14054(a,1,2,1))]. given #12472 (H,wt=27): 14062 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). [hyper(5623,a,14061,a),flip(a)]. given #12473 (H,wt=27): 14063 K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). [hyper(255,a,14041,a(flip),b,14062,a(flip)),flip(a)]. given #12474 (H,wt=33): 13904 T(x,y * K(z,u)) \ T(y * T(T(x,y * K(z,u)),K(z,u)),K(u,z)) = T(y,x * K(z,u)). [hyper(255,a,13558,a,b,13903,a(flip)),flip(a)]. given #12475 (H,wt=33): 13987 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = K(x,K(y,a(w,z,z \ u))). [para(877(a,1),13981(a,1,2,2)),flip(a)]. given #12476 (H,wt=33): 14064 T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(u,z)) = T(y,x * K(z,u)). [para(43(a,1),13904(a,1,2,1,2))]. given #12477 (H,wt=33): 14065 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(z \ u,w))). [hyper(255,a,13150,a,b,13987,a)]. given #12478 (H,wt=33): 14066 T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(z,u)) = T(y,x * K(z,u)). [para(8193(a,1),14064(a,1,2))]. given #12479 (H,wt=27): 14068 T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). [para(13876(a,1),14066(a,1,2))]. given #12480 (H,wt=27): 14069 K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). [hyper(255,a,10114,a(flip),b,14068,a(flip)),flip(a)]. given #12481 (H,wt=27): 14070 K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). [para(13965(a,2),14069(a,1,2))]. given #12482 (H,wt=27): 14071 K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). [para(12404(a,1),14070(a,1,2,1))]. given #12483 (H,wt=25): 14072 K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(13131(a,1),14071(a,1,2))]. given #12484 (H,wt=25): 14073 K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(5600(a,1),14072(a,1,2))]. given #12485 (H,wt=21): 14074 K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). [hyper(8698,a,14073,a)]. given #12486 (H,wt=21): 14075 K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). [hyper(255,a,14063,a(flip),b,14074,a(flip)),flip(a)]. given #12487 (H,wt=21): 14076 T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). [hyper(5622,a,14075,a),flip(a)]. given #12488 (H,wt=24): 14077 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). [para(14076(a,2),13257(a,2,2)),flip(a)]. given #12489 (H,wt=15): 14078 L(x,K(y,T(z,x)),u) = R(x,K(y,z),u). [hyper(255,a,13201,a(flip),b,14077,a(flip)),flip(a)]. given #12490 (H,wt=33): 14067 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(w,u / z))). [para(13747(a,1),14065(a,2,3))]. given #12491 (H,wt=26): 14079 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(255,a,13943,a(flip),b,14067,a(flip)),flip(a)]. given #12492 (H,wt=34): 14016 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(783(a,1),13971(a,1,2,2,1,1)),flip(a)]. given #12493 (H,wt=30): 14081 K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). [para(18(a,1),14016(a,1,2,2,1,1)),flip(a)]. given #12494 (H,wt=33): 14082 K(x,K(y,(z * u) * R(L(w / v5,v5,1 / v5),z,u))) = K(x,K(y,(((1 / v5) * w) * z) * u)). [hyper(13856,a,14081,a)]. given #12495 (H,wt=33): 14084 K(x,K(y,(z * u) * L(R(w / v5,z,u),v5,1 / v5))) = K(x,K(y,(((1 / v5) * w) * z) * u)). [para(49(a,1),14082(a,1,2,2,2))]. given #12496 (H,wt=35): 14015 K(x,L(K(y,z),K(u,w) / w,v5)) * K(K(y,z),x) = a(v5,K(u,w) / (K(z,y) * w),K(K(y,z),x)). [para(14014(a,2),9955(a,2,2))]. given #12497 (H,wt=35): 14085 K(x,K(y,L(z,K(u,w) / w,v5))) * K(K(z,y),x) = a(v5,K(u,w) / (K(y,z) * w),K(K(z,y),x)). [para(8946(a,1),14015(a,1,1))]. given #12498 (H,wt=41): 14060 K(((1 / (x \ y)) * ((z * (((y \ x) \ u) * (y \ x))) / (1 / (x \ y)))) \ u,w) = K(1 / z,T(w,u / (1 / (x \ y)))). [para(13402(a,1),14057(a,1,1,1,2,1,2))]. given #12499 (H,wt=37): 14086 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(13419(a,1),14060(a,1,1,1))]. given #12500 (H,wt=25): 14087 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [hyper(14059,a,14086,a),flip(a)]. given #12501 (H,wt=25): 14088 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [hyper(255,a,13921,a,b,14087,a)]. given #12502 (H,wt=25): 14089 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [hyper(255,a,14034,a,b,14088,a(flip)),flip(a)]. given #12503 (H,wt=23): 14090 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [hyper(13853,a,14089,a),flip(a)]. given #12504 (H,wt=27): 14091 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(14090(a,1),14035(a,2,1))]. given #12505 (H,wt=25): 14092 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [hyper(255,a,5452,a(flip),b,14091,a)]. given #12506 (H,wt=35): 14093 T(T(1 / (1 / L(x,y,z)),T(u,(w / v5) * v6)),1 / x) = T(L(x,y,z),T(u,v6 / (v5 / T(w,v7)))). [para(14092(a,1),3839(a,1,1))]. given #12507 (H,wt=27): 14094 T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). [hyper(255,a,3839,a(flip),b,14093,a(flip))]. given #12508 (H,wt=38): 14095 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = (T(L(v5,v6,v7),T(x,(u / z) * y)) \ 1) * L((v5 \ 1) \ 1,v6,v7). [para(14094(a,1),13437(a,1,1,1)),flip(a)]. given #12509 (H,wt=27): 14096 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [hyper(255,a,13437,a(flip),b,14095,a)]. given #12510 (H,wt=27): 14097 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [hyper(255,a,7542,a(flip),b,14096,a)]. given #12511 (H,wt=27): 14098 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(7899,a,14097,a)]. given #12512 (H,wt=25): 14099 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(255,a,14032,a(flip),b,14098,a(flip)),flip(a)]. given #12513 (H,wt=26): 14100 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [hyper(255,a,14033,a(flip),b,14099,a(flip))]. given #12514 (H,wt=21): 14101 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [hyper(255,a,8703,a(flip),b,14100,a(flip)),flip(a)]. given #12515 (H,wt=19): 14102 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(126(a,1),14101(a,1,2,2,1,1)),flip(a)]. given #12516 (H,wt=19): 14104 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [hyper(255,a,13921,a(flip),b,14102,a(flip)),flip(a)]. given #12517 (H,wt=23): 14105 K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). [hyper(255,a,8115,a,b,14104,a),flip(a)]. given #12518 (H,wt=19): 14106 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(22,a,13930,a,b,14105,a),flip(a)]. given #12519 (H,wt=19): 14107 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [hyper(8561,a,14106,a)]. given #12520 (H,wt=19): 14108 K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). [hyper(255,a,13946,a(flip),b,14106,a(flip))]. given #12521 (H,wt=19): 14109 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [hyper(255,a,13944,a(flip),b,14106,a(flip))]. given #12522 (H,wt=19): 14111 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [hyper(13847,a,14109,a)]. given #12523 (H,wt=19): 14112 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(19(a,1),14111(a,1,2,2,2,2)),flip(a)]. given #12524 (H,wt=25): 14110 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(14106(a,1),13969(a,1,1))]. given #12525 (H,wt=25): 14113 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [hyper(9002,a,14110,a),flip(a)]. given #12526 (H,wt=25): 14115 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(73(a,1),14113(a,1,2,1,2)),flip(a)]. given #12527 (H,wt=25): 14116 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [hyper(13849,a,14115,a)]. given #12528 (H,wt=26): 14114 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). [hyper(255,a,14003,a(flip),b,14113,a(flip))]. given #12529 (H,wt=22): 14117 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [para(19(a,1),14114(a,2,2,2,2))]. given #12530 (H,wt=22): 14118 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [hyper(255,a,13981,a,b,14117,a)]. given #12531 (H,wt=24): 14121 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). [para(13191(a,1),14118(a,1,2))]. given #12532 (H,wt=25): 14119 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(y * u) / z)) = v5. [para(14117(a,2),13983(a,1))]. given #12533 (H,wt=25): 14122 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. [para(14118(a,2),13983(a,1))]. given #12534 (H,wt=26): 14120 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [hyper(255,a,14116,a(flip),b,14118,a(flip)),flip(a)]. given #12535 (H,wt=25): 14124 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [hyper(255,a,14121,a(flip),b,14120,a(flip))]. given #12536 (H,wt=27): 14123 K(x,K((y / z) / u,L(w,z,y))) != v5 | K(x,K(w,(y * (1 / u)) / z)) = v5. [para(13191(a,1),14119(a,1,2))]. given #12537 (H,wt=28): 14125 K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(4182(a,2),14120(a,2,2,2,1))]. given #12538 (H,wt=26): 14126 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(13193(a,1),14125(a,1,2))]. given #12539 (H,wt=23): 14127 K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). [hyper(14119,a,14126,a),flip(a)]. given #12540 (H,wt=23): 14128 K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). [hyper(255,a,14107,a(flip),b,14127,a(flip)),flip(a)]. given #12541 (H,wt=21): 14129 K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). [hyper(14006,a,14128,a)]. given #12542 (H,wt=21): 14130 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [hyper(255,a,14017,a,b,14129,a(flip)),flip(a)]. given #12543 (H,wt=21): 14131 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [hyper(255,a,14018,a(flip),b,14129,a(flip))]. given #12544 (H,wt=21): 14133 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [hyper(13988,a,14131,a)]. given #12545 (H,wt=23): 14134 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [hyper(255,a,14124,a,b,14131,a(flip)),flip(a)]. given #12546 (H,wt=23): 14139 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [hyper(13988,a,14134,a)]. given #12547 (H,wt=24): 14136 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [hyper(255,a,13523,a,b,14133,a(flip)),flip(a)]. given #12548 (H,wt=22): 14140 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [hyper(255,a,13337,a(flip),b,14136,a(flip)),flip(a)]. given #12549 (H,wt=25): 14132 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [hyper(14020,a,14130,a)]. given #12550 (H,wt=26): 14135 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [hyper(255,a,13845,a(flip),b,14131,a(flip))]. given #12551 (H,wt=33): 14137 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(8534(a,1),14133(a,1,2))]. given #12552 (H,wt=33): 14138 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(13370(a,1),14133(a,1,2,2,2,1)),flip(a)]. given #12553 (H,wt=29): 14142 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(255,a,14139,a(flip),b,14138,a)]. given #12554 (H,wt=23): 14144 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [hyper(255,a,14132,a(flip),b,14142,a(flip)),flip(a)]. given #12555 (H,wt=23): 14145 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [hyper(13983,a,14144,a)]. given #12556 (H,wt=23): 14147 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [hyper(255,a,14001,a(flip),b,14144,a(flip)),flip(a)]. given #12557 (H,wt=23): 14148 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(8561,a,14147,a)]. given #12558 (H,wt=26): 14150 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(255,a,14079,a(flip),b,14148,a(flip))]. given #12559 (H,wt=26): 14151 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [hyper(13822,a,14150,a)]. given #12560 (H,wt=27): 14149 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(127(a,1),14147(a,1,2,2,2)),flip(a)]. given #12561 (H,wt=23): 14155 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [hyper(14006,a,14149,a),flip(a)]. given #12562 (H,wt=23): 14156 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [hyper(14023,a,14155,a)]. given #12563 (H,wt=25): 14157 K(x,K(y,(z * u) * ((w / u) / z))) != v5 | K(x,K(w,L(y,u,z))) = v5. [para(14156(a,1),14040(a,1))]. given #12564 (H,wt=28): 14154 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(21(a,1),14151(a,1,2,2,2,2))]. given #12565 (H,wt=29): 14153 a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. [para(14150(a,1),8136(a,1))]. given #12566 (H,wt=30): 14152 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [hyper(255,a,13263,a,b,14150,a)]. given #12567 (H,wt=26): 14158 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(21(a,1),14152(a,2,2))]. given #12568 (H,wt=35): 14141 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(13880(a,1),14137(a,1,2)),flip(a)]. given #12569 (H,wt=33): 14159 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). [hyper(255,a,8450,a(flip),b,14141,a)]. given #12570 (H,wt=21): 14160 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [hyper(255,a,14111,a(flip),b,14159,a(flip))]. given #12571 (H,wt=21): 14162 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [hyper(255,a,14107,a(flip),b,14160,a)]. given #12572 (H,wt=21): 14163 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [hyper(14008,a,14162,a)]. given #12573 (H,wt=24): 14164 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(192(a,1),14162(a,1,2,2,2))]. given #12574 (H,wt=20): 14165 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [hyper(255,a,13949,a(flip),b,14164,a)]. given #12575 (H,wt=28): 14167 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [hyper(255,a,14084,a(flip),b,14165,a(flip))]. given #12576 (H,wt=25): 14169 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(122(a,1),14167(a,1,2,2)),flip(a)]. given #12577 (H,wt=25): 14170 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [hyper(14010,a,14169,a)]. given #12578 (H,wt=27): 14171 K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [hyper(14005,a,14170,a),flip(a)]. given #12579 (H,wt=25): 14173 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [hyper(14005,a,14171,a),flip(a)]. given #12580 (H,wt=24): 14176 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [hyper(255,a,14135,a(flip),b,14173,a(flip))]. given #12581 (H,wt=25): 14174 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [hyper(14011,a,14173,a),flip(a)]. given #12582 (H,wt=25): 14175 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [hyper(14008,a,14173,a)]. given #12583 (H,wt=27): 14172 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [hyper(13862,a,14170,a)]. given #12584 (H,wt=25): 14179 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [hyper(255,a,11081,a(flip),b,14172,a)]. given #12585 (H,wt=25): 14180 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [hyper(255,a,14145,a(flip),b,14179,a)]. given #12586 (H,wt=25): 14181 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [hyper(8561,a,14180,a)]. given #12587 (H,wt=27): 14178 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [hyper(255,a,13984,a(flip),b,14174,a)]. given #12588 (H,wt=25): 14183 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(6629(a,1),14178(a,1,2,2,2))]. given #12589 (H,wt=21): 14184 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [hyper(14007,a,14183,a)]. given #12590 (H,wt=28): 14177 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [hyper(255,a,14163,a(flip),b,14176,a(flip)),flip(a)]. given #12591 (H,wt=26): 14185 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [hyper(255,a,14184,a(flip),b,14177,a(flip)),flip(a)]. given #12592 (H,wt=21): 14186 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [hyper(14157,a,14185,a),flip(a)]. given #12593 (H,wt=19): 14187 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [hyper(255,a,13275,a(flip),b,14186,a(flip)),flip(a)]. given #12594 (H,wt=28): 14182 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(13036(a,1),14181(a,1,2)),flip(a)]. given #12595 (H,wt=28): 14188 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [hyper(255,a,13211,a,b,14182,a)]. given #12596 (H,wt=43): 14004 K(x,K(T(R(y,K(z,u),w),K(z,u)),L(v5,K(z,u) * w,v6))) = K(x,K(v5,(((K(z,u) * y) * w) * v6) / (v6 * (K(z,u) * w)))). [para(8211(a,1),13963(a,1,2,1))]. given #12597 (H,wt=39): 14189 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(R(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). [hyper(13848,a,14004,a),flip(a)]. given #12598 (H,wt=39): 14190 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(L(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). [para(13500(a,1),14189(a,2,2))]. given #12599 (H,wt=39): 14191 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(L(y,K(z,u) * v5,v6),K(z,u),v5))). [hyper(255,a,8855,a(flip),b,14190,a)]. given #12600 (H,wt=34): 14192 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(255,a,14028,a(flip),b,14191,a)]. given #12601 (H,wt=30): 14193 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(14022,a,14192,a)]. given #12602 (H,wt=25): 14195 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(255,a,13986,a(flip),b,14193,a(flip)),flip(a)]. given #12603 (H,wt=21): 14196 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [hyper(255,a,13991,a(flip),b,14195,a(flip))]. given #12604 (H,wt=21): 14197 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [hyper(11646,a,14196,a)]. given #12605 (H,wt=23): 14199 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(13062(a,1),14196(a,1,2,2,2))]. given #12606 (H,wt=21): 14201 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(255,a,14187,a(flip),b,14199,a)]. given #12607 (H,wt=27): 14200 L(K(x,K(y,z)),K(u,w) * v5,v6) = a(x,v5,K(v6,K(y,z))) * K(x,K(y,z)). [hyper(255,a,13212,a,b,14197,a)]. given #12608 (H,wt=21): 14203 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(13213,a,14200,a)]. given #12609 (H,wt=21): 14204 a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). [para(5162(a,1),14203(a,1,2)),flip(a)]. given #12610 (H,wt=21): 14205 a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). [para(5288(a,1),14203(a,1,2))]. given #12611 (H,wt=25): 14206 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). [hyper(255,a,11657,a(flip),b,14204,a(flip))]. given #12612 (H,wt=25): 14207 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). [para(8138(a,2),14206(a,2,3))]. given #12613 (H,wt=23): 14208 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). [para(11082(a,1),14207(a,2,3))]. given #12614 (H,wt=25): 14209 a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(19(a,1),14208(a,1,3,2,2))]. given #12615 (H,wt=25): 14210 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(8138(a,1),14209(a,1,3))]. given #12616 (H,wt=21): 14211 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). [para(19(a,1),14210(a,2,3,2,2))]. given #12617 (H,wt=21): 14212 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). [para(8138(a,1),14211(a,2,3))]. given #12618 (H,wt=21): 14213 a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). [para(73(a,1),14212(a,1,2,2))]. given #12619 (H,wt=21): 14214 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(8138(a,2),14213(a,1,3))]. given #12620 (H,wt=21): 14215 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(8138(a,2),14214(a,2,3))]. given #12621 (H,wt=21): 14216 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [hyper(255,a,13203,a,b,14215,a(flip)),flip(a)]. given #12622 (H,wt=21): 14217 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(8154(a,1),14216(a,2,3))]. given #12623 (H,wt=31): 14202 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(K(w,u),v5). [para(14201(a,1),14085(a,1,1)),flip(a)]. given #12624 (H,wt=31): 14218 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(v5,K(w,u)). [para(8153(a,1),14202(a,2,2))]. given #12625 (H,wt=29): 14220 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(K(w,L(u,z,x)) * K(u,w),v5). [hyper(255,a,11847,a(flip),b,14218,a)]. given #12626 (H,wt=27): 14221 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(9955(a,1),14220(a,2,1))]. given #12627 (H,wt=25): 14222 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [hyper(255,a,13267,a(flip),b,14221,a)]. given #12628 (H,wt=25): 14223 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(14014(a,1),14222(a,1,2))]. given #12629 (H,wt=25): 14224 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(8153(a,1),14223(a,1,3))]. given #12630 (H,wt=21): 14225 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [hyper(11669,a,14224,a)]. given #12631 (H,wt=19): 14226 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(152(a,1),14225(a,1,2,1))]. given #12632 (H,wt=19): 14228 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [hyper(255,a,14217,a(flip),b,14226,a(flip)),flip(a)]. given #12633 (H,wt=19): 14229 a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). [hyper(255,a,13204,a,b,14228,a)]. given #12634 (H,wt=26): 14227 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [hyper(255,a,14188,a,b,14226,a(flip)),flip(a)]. given #12635 (H,wt=26): 14230 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(8138(a,1),14227(a,2,3))]. given #12636 (H,wt=46): 14231 K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * (1 / (1 / w))) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(5988(a,1),14230(a,1,2,2,2,1))]. given #12637 (H,wt=42): 14232 K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(10217(a,1),14231(a,1,2))]. given #12638 (H,wt=40): 14233 K(x,K(y,((z / u) / (w * K(1 / z,w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(13175(a,1),14232(a,1,2))]. given #12639 (H,wt=40): 14234 K(x,K(y,(((z / u) / w) * K(w,1 / z)) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(6841(a,1),14233(a,1,2,2,1))]. given #12640 (H,wt=38): 14235 K(x,K(y,(((z / u) / w) * K(w,1 / z)) * ((w / z) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [hyper(255,a,14175,a(flip),b,14234,a(flip)),flip(a)]. given #12641 (H,wt=32): 14236 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [hyper(13972,a,14235,a)]. given #12642 (H,wt=30): 14237 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(6704(a,1),14236(a,2,3,2))]. given #12643 (H,wt=24): 14238 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(13938(a,1),14237(a,2,3))]. given #12644 (H,wt=21): 14239 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [hyper(255,a,14154,a(flip),b,14238,a(flip)),flip(a)]. given #12645 (H,wt=25): 14241 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(70(a,1),14239(a,1,3,2,1))]. given #12646 (H,wt=25): 14242 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(14112(a,1),14241(a,1,3))]. given #12647 (H,wt=25): 14243 a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(8134(a,1),14242(a,1,3))]. given #12648 (H,wt=23): 14244 a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). [para(14052(a,1),14243(a,1,3))]. given #12649 (H,wt=21): 14245 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). [hyper(255,a,13261,a(flip),b,14244,a(flip))]. given #12650 (H,wt=21): 14246 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). [para(8154(a,1),14245(a,1,3))]. given #12651 (H,wt=21): 14247 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). [hyper(255,a,14205,a,b,14246,a(flip)),flip(a)]. given #12652 (H,wt=19): 14248 a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). [hyper(255,a,14229,a(flip),b,14247,a(flip))]. given #12653 (H,wt=19): 14249 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(8134(a,1),14248(a,2,3))]. given #12654 (H,wt=24): 14250 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [hyper(14153,a,14249,a)]. given #12655 (H,wt=24): 14251 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(8138(a,2),14250(a,2,3))]. given #12656 (H,wt=19): 14252 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [hyper(255,a,14158,a(flip),b,14251,a(flip)),flip(a)]. given #12657 (H,wt=19): 14253 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(8453(a,1),14252(a,1,3))]. given #12658 (H,wt=19): 14254 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(8154(a,1),14253(a,2,3))]. given #12659 (H,wt=17): 14255 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [hyper(255,a,14249,a(flip),b,14254,a(flip))]. given #12660 (H,wt=23): 14256 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(14255(a,1),13209(a,1,1))]. given #12661 (H,wt=23): 14257 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). [para(8134(a,1),14256(a,1,2))]. given #12662 (H,wt=17): 14258 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [hyper(13299,a,14257,a),flip(a)]. given #12663 (H,wt=17): 14259 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [hyper(9003,a,14258,a)]. given #12664 (H,wt=22): 14260 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [hyper(255,a,14140,a(flip),b,14259,a)]. given #12665 (H,wt=19): 14263 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [hyper(14122,a,14260,a)]. given #12666 (H,wt=26): 14262 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). [para(7112(a,1),14259(a,1,2)),flip(a)]. given #12667 (H,wt=27): 14264 K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(14262(a,2),8469(a,1))]. given #12668 (H,wt=35): 14261 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,v5 \ ((v5 / (w * u)) * (w * (u * z))))). [para(640(a,1),14259(a,1,2,2)),flip(a)]. given #12669 (H,wt=35): 14265 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) * (w * (u * z))) / v5)). [hyper(255,a,13742,a,b,14261,a)]. given #12670 (H,wt=35): 14266 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) / v5) * (w * (u * z)))). [hyper(255,a,14263,a(flip),b,14265,a)]. given #12671 (H,wt=31): 14267 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). [hyper(255,a,14108,a(flip),b,14266,a)]. given #12672 (H,wt=30): 14270 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,T(L(z,u,w),w * u))). [para(8319(a,1),14267(a,2,2))]. given #12673 (H,wt=26): 14271 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). [hyper(255,a,13731,a(flip),b,14270,a)]. given #12674 (H,wt=22): 14274 K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). [hyper(255,a,13337,a(flip),b,14271,a(flip)),flip(a)]. given #12675 (H,wt=19): 14275 K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). [hyper(14264,a,14274,a),flip(a)]. given #12676 (H,wt=16): 14278 K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). [para(7014(a,1),14275(a,1,2)),flip(a)]. given #12677 (H,wt=14): 14280 K(x,K(y,L(z,u,w))) = K(z,K(x,y)). [hyper(255,a,8462,a(flip),b,14278,a)]. given #12678 (H,wt=14): 14281 K(x,K(y,L(z,u,w))) = K(x,K(y,z)). [hyper(255,a,8450,a(flip),b,14278,a)]. given #12679 (H,wt=17): 14283 K(x,K(y,L(z,u,w))) != v5 | K(x,K(y,z)) = v5. [para(14278(a,2),8469(a,1))]. given #12680 (H,wt=17): 14287 K(x,K(y,L(z,u,w))) != v5 | K(y,K(x,z)) = v5. [para(14280(a,2),8122(a,1))]. given #12681 (H,wt=17): 14288 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,y)) = v5. [para(14280(a,2),8136(a,1))]. given #12682 (H,wt=19): 14289 (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). [para(14280(a,1),8853(a,1,2))]. given #12683 (H,wt=10): 14301 L(x,y,K(z,K(u,w))) = x. [hyper(13554,a,14289,a)]. given #12684 (H,wt=19): 14299 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [para(14281(a,1),13751(a,1,1))]. given #12685 (H,wt=19): 14307 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [para(13737(a,2),14299(a,2,2))]. given #12686 (H,wt=19): 14309 K(x,K(y,z)) \ (u * w) = u * (K(x,K(y,z)) * w). [hyper(8181,a,14307,a)]. given #12687 (H,wt=22): 14300 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(z / w) * u)) = v5. [para(14118(a,1),14288(a,1))]. given #12688 (H,wt=32): 14306 (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,K(y,K(z,u)) * w,x). [para(14301(a,1),424(a,2,1))]. given #12689 (H,wt=32): 14312 (K(x,K(y,z)) \ (u * w)) \ (u * (K(x,K(y,z)) * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). [para(14309(a,2),14306(a,1,1))]. given #12690 (H,wt=32): 14313 (K(x,K(y,z)) \ (u * w)) \ (K(x,K(y,z)) \ (u * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). [para(14309(a,2),14312(a,1,2))]. given #12691 (H,wt=24): 14314 L(L(x,y,z),z * y,K(K(u,w),v5)) = L(x,K(v5,K(u,w)) * y,z). [hyper(255,a,6335,a(flip),b,14313,a(flip)),flip(a)]. given #12692 (H,wt=24): 14315 L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,K(v5,K(u,w)) * y,z). [para(8100(a,1),14314(a,1,3))]. given #12693 (H,wt=15): 14316 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). [hyper(255,a,14301,a(flip),b,14315,a(flip))]. given #12694 (H,wt=15): 14319 L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). [para(7548(a,1),14316(a,1,2))]. -------- Proof 6 -------- "RKLK 2". ============================== PROOF ================================= % Proof 6 at 1340.42 (+ 52.28) seconds: "RKLK 2". % Length of proof is 12035. % Level of proof is 663. % Maximum clause weight is 65.000. % Given clauses 12694 (19.146 givens/level). 1 x * y = u & x * z = u -> y = z # label(non_clause). [assumption]. 2 y * x = u & z * x = u -> y = z # label(non_clause). [assumption]. 3 x * y = x * z -> y = z # label(non_clause). [assumption]. 4 y * x = z * x -> y = z # label(non_clause). [assumption]. 5 a(x,y,z) = 1 -> L(z,y,x) = z # label(non_clause). [assumption]. 6 L(x,y,z) = x -> a(z,y,x) = 1 # label(non_clause). [assumption]. 7 T(x,y) = x -> T(y,x) = y # label(non_clause). [assumption]. 8 T(x,y) = x -> K(x,y) = 1 # label(non_clause). [assumption]. 9 K(x,y) = 1 -> T(x,y) = x # label(non_clause). [assumption]. 13 R(x,K(y,z),u) = L(x,K(y,z),u) # label("RKLK 2") # label(non_clause) # label(goal). [goal]. 16 1 * x = x. [assumption]. 17 x * 1 = x. [assumption]. 18 x \ (x * y) = y. [assumption]. 19 x * (x \ y) = y. [assumption]. 20 (x * y) / y = x. [assumption]. 21 (x / y) * y = x. [assumption]. 22 x * y != z | x * u != z | u = y. [clausify(1)]. 23 x * y != z | u * y != z | u = x. [clausify(2)]. 24 x * y != x * z | y = z. [clausify(3)]. 25 x * y != z * y | x = z. [clausify(4)]. 26 x != y | z * x = z * y. [assumption]. 27 x != y | x * z = y * z. [assumption]. 28 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 29 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(28),flip(a)]. 30 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 31 K(x,y) = (y * x) \ (x * y). [copy(30),flip(a)]. 32 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 33 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(32),flip(a)]. 34 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 35 R(x,y,z) = ((x * y) * z) / (y * z). [copy(34),flip(a)]. 36 x \ (y * x) = T(y,x). [assumption]. 37 T(x,y) = y \ (x * y). [copy(36),flip(a)]. 38 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 39 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 40 T(x,y) != x | T(y,x) = y. [clausify(7)]. 41 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 42 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 43 T(T(x,y),z) = T(T(x,z),y) # label("AIM-TT condition"). [assumption]. 44 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 45 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(44),flip(a)]. 46 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 47 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(46),flip(a)]. 48 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 49 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(48),flip(a)]. 50 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 51 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 55 R(c13,K(c14,c15),c16) != L(c13,K(c14,c15),c16) # label("RKLK 2") # answer("RKLK 2"). [deny(13)]. 58 x * (1 * 1) = x. [para(16(a,2),17(a,1,2))]. 59 1 \ x = x. [para(16(a,1),18(a,1,2))]. 60 x \ x = 1. [para(17(a,1),18(a,1,2))]. 61 x \ (x * (y \ (y * z))) = z. [para(18(a,2),18(a,1))]. 62 (x * (x \ 1)) * y = y. [para(19(a,2),16(a,1,1))]. 63 x * (x \ (1 * y)) = y. [para(19(a,2),16(a,1))]. 64 x * (y * (y \ 1)) = x. [para(19(a,2),17(a,1,2))]. 65 x \ (y * (y \ (x * z))) = z. [para(19(a,2),18(a,1,2))]. 66 x * (y * (y \ (x \ z))) = z. [para(19(a,2),19(a,1,2))]. 67 x / x = 1. [para(16(a,1),20(a,1,1))]. 68 x / 1 = x. [para(17(a,1),20(a,1,1))]. 69 x * (((x \ y) * z) / z) = y. [para(20(a,2),19(a,1,2))]. 70 x / (y \ x) = y. [para(19(a,1),20(a,1,1))]. 71 ((1 / x) * x) * y = y. [para(21(a,2),16(a,1,1))]. 72 x * ((1 / y) * y) = x. [para(21(a,2),17(a,1,2))]. 73 (x / y) \ x = y. [para(21(a,1),18(a,1,2))]. 74 x \ (((x * y) / z) * z) = y. [para(21(a,2),18(a,1,2))]. 75 (x \ (x * (y / z))) * z = y. [para(18(a,2),21(a,1,1))]. 76 ((x * (x \ y)) / z) * z = y. [para(21(a,2),19(a,1))]. 77 (((x * y) / z) * z) / y = x. [para(21(a,2),20(a,1,1))]. 78 (((x / y) / z) * z) * y = x. [para(21(a,2),21(a,1,1))]. 79 x != y | 1 * z != y | z = x. [para(16(a,1),22(a,1))]. 80 x != y | z * u != y | z \ x = u. [para(19(a,1),22(a,1)),flip(c)]. 81 x != y | z * u != y | x / u = z. [para(21(a,1),23(a,1)),flip(c)]. 82 1 * x != y | y = x. [para(16(a,1),24(a,1)),flip(a)]. 83 1 * x != y | x = y. [para(16(a,1),24(a,2))]. 84 x * y != x | 1 = y. [para(17(a,1),24(a,1)),flip(a)]. 85 (x * y) * 1 != x * z | z = y. [para(17(a,2),24(a,2)),flip(a)]. 86 x \ (x * (y * z)) != y * u | u = z. [para(18(a,2),24(a,2)),flip(a)]. 87 x * y != z | x \ z = y. [para(19(a,1),24(a,1)),flip(a)]. 88 x * (x \ (y * z)) != y * u | u = z. [para(19(a,2),24(a,2)),flip(a)]. 89 (x / y) * z != x | z = y. [para(21(a,1),24(a,2))]. 91 x * 1 != y | y = x. [para(17(a,1),25(a,1)),flip(a)]. 92 x * 1 != y | x = y. [para(17(a,1),25(a,2))]. 93 x \ (x * (y * z)) != u * z | u = y. [para(18(a,2),25(a,2)),flip(a)]. 94 x * (y \ z) != z | x = y. [para(19(a,1),25(a,2))]. 95 ((x * y) * z) / z != u * y | u = x. [para(20(a,2),25(a,2)),flip(a)]. 96 x * y != z | z / y = x. [para(21(a,1),25(a,1)),flip(a)]. 97 x * (y * (y \ z)) = x * z. [hyper(26,a,19,a)]. 98 ((x / y) * y) * z = x * z. [hyper(27,a,21,a)]. 99 (x * (x \ y)) * z = y * z. [hyper(27,a,19,a)]. 100 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(29(a,2),19(a,1,2))]. 101 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(19(a,1),29(a,2,2,1)),flip(a)]. 102 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(21(a,1),29(a,2,1,2)),flip(a)]. 103 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(21(a,1),29(a,2,2,1)),flip(a)]. 104 (x * y) * K(y,x) = y * x. [para(31(a,2),19(a,1,2))]. 105 x \ ((y \ x) * y) = K(y \ x,y). [para(19(a,1),31(a,2,1)),flip(a)]. 106 ((x \ y) * x) \ y = K(x,x \ y). [para(19(a,1),31(a,2,2)),flip(a)]. 107 x \ (y * (x / y)) = K(y,x / y). [para(21(a,1),31(a,2,1)),flip(a)]. 108 (x * (y / x)) \ y = K(y / x,x). [para(21(a,1),31(a,2,2)),flip(a)]. 109 x \ (1 * (x * y)) = L(y,x,1). [para(16(a,1),33(a,2,1)),flip(a)]. 110 (x * 1) \ (x * y) = L(y,1,x). [para(16(a,1),33(a,2,2,2)),flip(a)]. 111 (x * y) \ (x * y) = L(1,y,x). [para(17(a,1),33(a,2,2,2)),flip(a)]. 112 (x * y) * L(z,y,x) = x * (y * z). [para(33(a,2),19(a,1,2))]. 113 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(19(a,1),33(a,2,1)),flip(a)]. 114 L(x \ y,x,z) = (z * x) \ (z * y). [para(19(a,1),33(a,2,2,2))]. 115 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(21(a,1),33(a,2,1)),flip(a)]. 116 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(21(a,1),33(a,2,2,2))]. 117 (x * y) / (x * y) = R(1,x,y). [para(16(a,1),35(a,2,1,1)),flip(a)]. 118 ((x * 1) * y) / y = R(x,1,y). [para(16(a,1),35(a,2,2)),flip(a)]. 119 (x * y) / (y * 1) = R(x,y,1). [para(17(a,1),35(a,2,1)),flip(a)]. 120 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(19(a,1),35(a,2,1,1))]. 121 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(19(a,1),35(a,2,1))]. 122 R(x,y,z) * (y * z) = (x * y) * z. [para(35(a,2),21(a,1,1))]. 123 R(x / y,y,z) = (x * z) / (y * z). [para(21(a,1),35(a,2,1,1))]. 124 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(21(a,1),35(a,2,2)),flip(a)]. 125 T(1,x) = x \ x. [para(16(a,1),37(a,2,2))]. 126 T(x,x) = x. [para(37(a,2),18(a,1))]. 127 x * T(y,x) = y * x. [para(37(a,2),19(a,1,2))]. 128 T(x,x \ y) = (x \ y) \ y. [para(19(a,1),37(a,2,2))]. 129 T(x / y,y) = y \ x. [para(21(a,1),37(a,2,2))]. 130 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(47(a,2),43(a,1,1)),flip(a)]. 131 x \ (1 \ (x * y)) = y. [hyper(22,a,19,a,b,59,a(flip)),flip(a)]. 132 (x * (x \ 1)) \ y = y. [para(19(a,2),59(a,1,1))]. 133 ((1 / x) * x) \ y = y. [para(21(a,2),59(a,1,1))]. 135 x / (y * (y \ 1)) = x. [para(19(a,2),68(a,1,2))]. 136 x / ((1 / y) * y) = x. [para(21(a,2),68(a,1,2))]. 137 T(T(x,y),x) = T(x,y). [para(126(a,1),43(a,1,1)),flip(a)]. 138 T(L(x,y,z),x) = L(x,y,z). [para(126(a,1),45(a,1,1)),flip(a)]. 139 x \ x = 1 * 1. [hyper(22,a,19,a,b,58,a),flip(a)]. 140 (x / (y \ x)) * z = y * z. [hyper(27,a,70,a)]. 141 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(29(a,2),70(a,1,2))]. 142 (x * y) / K(x,y) = y * x. [para(31(a,2),70(a,1,2))]. 143 (x * (y * z)) / L(z,y,x) = x * y. [para(33(a,2),70(a,1,2))]. 144 (x * y) / T(x,y) = y. [para(37(a,2),70(a,1,2))]. 145 x / (y / ((z \ x) \ y)) = z. [para(70(a,2),70(a,1,2))]. 146 ((x / y) \ x) * z = y * z. [hyper(27,a,73,a)]. 147 (x / (1 * y)) \ x = y. [hyper(22,a,16,a,b,73,a(flip)),flip(a)]. 148 x * ((y / (x \ z)) \ y) = z. [para(73(a,2),19(a,1,2))]. 149 R(x,y,z) \ ((x * y) * z) = y * z. [para(35(a,2),73(a,1,1))]. 150 ((x / (y / z)) \ x) \ y = z. [para(73(a,2),73(a,1,1))]. 151 T(1,x) = 1. [para(125(a,2),60(a,1))]. 152 K(1,x) = 1. [hyper(41,a,151,a)]. 153 T(x,1) = x. [hyper(40,a,151,a)]. 155 K(x,1) = 1. [hyper(41,a,153,a)]. 156 T(x,y \ y) = x. [para(60(a,2),153(a,1,2))]. 157 x \ x != y | 1 = y. [para(139(a,2),82(a,1)),flip(b)]. 158 ((1 / x) * x) * y != z | y = z. [para(21(a,2),83(a,1,1))]. 159 x * (y * (y \ 1)) != z | z = x. [para(19(a,2),91(a,1,2))]. 160 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(62(a,1),35(a,2,1))]. 161 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(64(a,1),29(a,2,1)),flip(a)]. 162 L(x \ 1,x,y) = (y * x) \ y. [para(64(a,1),33(a,2,2))]. 163 R(1 / x,x,y) = y / (x * y). [para(71(a,1),35(a,2,1))]. 164 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(72(a,1),29(a,2,1)),flip(a)]. 165 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(72(a,1),33(a,2,2))]. 166 T((x * y) / x,x) = y. [hyper(22,a,21,a(flip),b,127,a)]. 167 (x * T(y,x)) / x = y. [hyper(23,a,21,a,b,127,a(flip)),flip(a)]. 168 x \ (y * T(x,y)) = y. [hyper(22,a,19,a,b,127,a(flip)),flip(a)]. 169 (x \ y) * T(x,x \ y) = y. [para(127(a,2),19(a,1))]. 170 x * (y * (y \ T(z,x))) = z * x. [para(19(a,2),127(a,1,2))]. 171 x * T(y / x,x) = y. [para(127(a,2),21(a,1))]. 172 x * y != z | y * u != z | T(x,y) = u. [para(127(a,1),22(a,1)),flip(c)]. 173 x * y != z * x | T(z,x) = y. [para(127(a,1),24(a,1)),flip(a)]. 174 x * T(y,x) != z * x | z = y. [para(127(a,2),25(a,2)),flip(a)]. 175 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(127(a,1),29(a,2,1,2)),flip(a)]. 176 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(127(a,1),29(a,2,2,1)),flip(a)]. 177 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(127(a,1),31(a,2,1)),flip(a)]. 178 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(127(a,1),33(a,2,1)),flip(a)]. 179 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(127(a,1),33(a,2,2,2)),flip(a)]. 180 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(127(a,1),35(a,2,1,1)),flip(a)]. 181 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(127(a,1),35(a,2,2)),flip(a)]. 182 x * T(T(y,x),z) = T(y,z) * x. [para(43(a,1),127(a,1,2))]. 183 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(45(a,2),127(a,1,2))]. 184 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(47(a,2),127(a,1,2))]. 185 T(T(x / y,z),y) = T(y \ x,z). [para(129(a,1),43(a,1,1)),flip(a)]. 186 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(129(a,1),45(a,1,1)),flip(a)]. 187 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(129(a,1),47(a,1,1)),flip(a)]. 188 T(x / (x / y),x / y) = y. [para(129(a,2),73(a,1))]. 189 K(x \ 1,x) = (x \ 1) * x. [para(132(a,1),31(a,2))]. 190 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(132(a,1),33(a,2)),flip(a)]. 191 K(x,1 / x) = x * (1 / x). [para(133(a,1),31(a,2))]. 192 (1 / x) * (x * y) = L(y,x,1 / x). [para(133(a,1),33(a,2)),flip(a)]. 193 (x * y) * (y \ 1) = R(x,y,y \ 1). [para(135(a,1),35(a,2)),flip(a)]. 194 (x * (1 / y)) * y = R(x,1 / y,y). [para(136(a,1),35(a,2)),flip(a)]. 195 K(T(x,y),x) = 1. [hyper(41,a,137,a)]. 196 T(x,T(x,y)) = x. [hyper(40,a,137,a)]. 197 T(T(T(x,y),z),x) = T(T(x,y),z). [para(137(a,1),43(a,1,1)),flip(a)]. 198 T(x,y) * x = x * T(x,y). [para(137(a,1),127(a,1,2)),flip(a)]. 199 x / T(y,y \ x) = y \ x. [para(19(a,1),144(a,1,1))]. 200 (T(x,y) * z) / T(T(x,z),y) = z. [para(43(a,1),144(a,1,2))]. 201 (x / (1 * y)) * y = x. [para(147(a,1),19(a,1,2))]. 202 T(T((x * y) / x,z),x) = T(y,z). [para(166(a,1),43(a,1,1)),flip(a)]. 203 K(x,(y * x) / y) = 1. [para(166(a,1),195(a,1,1))]. 204 T((x * y) / x,y) = (x * y) / x. [para(166(a,1),196(a,1,2))]. 205 (x * T(T(y,x),z)) / x = T(y,z). [para(43(a,1),167(a,1,1,2))]. 206 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(45(a,2),168(a,1,2,2))]. 207 T(x,(y * x) / y) = x. [hyper(42,a,203,a)]. 208 x * K(y,z) != y * z | z * y = x. [para(31(a,2),94(a,1,2)),flip(b)]. 209 x * L(y,z,u) != u * (z * y) | u * z = x. [para(33(a,2),94(a,1,2)),flip(b)]. 211 x != y | y / 1 = x. [para(17(a,1),96(a,1))]. 212 (x / y) \ x = y / 1. [hyper(211,a,73,a),flip(a)]. 213 x * (x \ y) = y / 1. [hyper(211,a,19,a),flip(a)]. 214 x / 1 = 1 * x. [hyper(211,a,16,a)]. 215 x / 1 != y | y = x. [para(214(a,2),82(a,1))]. 216 x / 1 != y | x = y. [para(214(a,2),83(a,1))]. 217 x / (y * (y \ 1)) != z | z = x. [para(19(a,2),215(a,1,2))]. 218 x / ((1 / y) * y) != z | z = x. [para(21(a,2),215(a,1,2))]. 219 (x / y) \ x != z | z = y. [para(212(a,2),215(a,1))]. 220 x * (x \ y) != z | z = y. [para(213(a,2),215(a,1))]. 221 (x / y) \ x = z * (z \ y). [para(213(a,2),212(a,2))]. 222 x \ (x * y) != z | z = y. [para(20(a,1),219(a,1,1))]. 223 x \ (y * x) != z | T(y,x) = z. [para(144(a,1),219(a,1,1)),flip(b)]. 224 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(33(a,2),220(a,1,2)),flip(b)]. 225 x * T(y,x) != z | y * x = z. [para(37(a,2),220(a,1,2)),flip(b)]. 226 (x / y) * y != z | z = x. [para(73(a,1),220(a,1,2))]. 227 (x * (x \ 1)) \ y != z | z = y. [para(62(a,1),220(a,1))]. 228 ((1 / x) * x) \ y != z | z = y. [para(71(a,1),220(a,1))]. 229 x * y != z | y * T(x,y) = z. [para(168(a,1),220(a,1,2)),flip(b)]. 230 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(35(a,2),226(a,1,1)),flip(b)]. 231 x \ (y * (y \ x)) = 1. [para(17(a,1),65(a,1,2,2,2))]. 232 (x / y) \ (z * (z \ x)) = y. [para(21(a,1),65(a,1,2,2,2))]. 233 x \ ((x * y) * L(z,y,x)) = y * z. [para(33(a,2),65(a,1,2,2))]. 234 x * (x \ y) = y * 1. [para(231(a,1),19(a,1,2)),flip(a)]. 235 x * 1 != y * z | y \ x = z. [para(234(a,1),24(a,1))]. 237 (x / y) * y = x * 1. [para(73(a,1),234(a,1,2))]. 239 x * 1 != y * z | x / z = y. [para(237(a,1),25(a,1))]. 240 (x / y) * y = z * (z \ x). [para(237(a,2),234(a,2)),flip(a)]. 241 L(x \ (y \ z),x,y) = (y * x) \ z. [para(66(a,1),33(a,2,2))]. 242 x * (x \ (y * z)) = y * (u * (u \ z)). [para(65(a,1),66(a,1,2,2,2)),flip(a)]. 243 ((1 * x) / y) \ x = y. [para(74(a,1),131(a,1,2))]. 244 1 \ x = 1 * x. [para(67(a,1),243(a,1,1))]. 245 1 \ x != y | x = y. [para(244(a,2),83(a,1))]. 246 ((x * (x \ y)) / z) \ y = z. [hyper(87,a,76,a)]. 247 (x / y) * y = 1 * x. [para(63(a,1),76(a,1,1,1))]. 248 1 * x != y * z | x / z = y. [para(247(a,1),25(a,1))]. 249 (x / ((y / z) * z)) * y = x. [para(247(a,2),201(a,1,1,2))]. 250 (((x / y) * y) / z) \ x = z. [para(247(a,2),243(a,1,1,1))]. 251 ((x / y) * y) / z = x / z. [para(21(a,1),77(a,1,1,1,1))]. 252 (R(x,y,z) * (y * z)) / z = x * y. [para(35(a,2),77(a,1,1,1))]. 253 R((x / y) / z,z,y) = x / (z * y). [para(78(a,1),35(a,2,1))]. 254 ((x / y) * y) * (x \ z) = z. [para(70(a,1),78(a,1,1,1,1))]. 255 x != y | z != y | z = x. [para(16(a,1),79(b,1))]. 256 (x * y) / y = z / (x \ z). [hyper(255,a,70,a,b,20,a)]. 257 x / (y \ x) = z * (z \ y). [hyper(255,a,70,a,b,19,a),flip(a)]. 258 (x * y) / y = (x / z) * z. [hyper(255,a,21,a,b,20,a)]. 259 x \ (x * y) = z * (z \ y). [hyper(255,a,19,a,b,18,a)]. 260 (x / (y * (y \ z))) * z = x. [hyper(226,a,97,a)]. 261 x * y != z * y | (z / u) * u = x. [para(98(a,1),25(a,2)),flip(b)]. 262 ((x / y) * y) * z != u | x \ u = z. [para(98(a,2),87(a,1))]. 263 x * K(y \ x,y) = (y \ x) * y. [hyper(255,a,99,a(flip),b,104,a(flip)),flip(a)]. 264 x * K(y,x / y) = y * (x / y). [hyper(255,a,98,a(flip),b,104,a(flip)),flip(a)]. 265 (x * y) * z != y * x | K(y,x) = z. [para(104(a,1),24(a,1)),flip(a)]. 266 (x * y) * K(y,x) != y * z | z = x. [para(104(a,2),24(a,2)),flip(a)]. 267 (x * y) \ ((y * x) * (K(x,y) * z)) = L(z,K(x,y),y * x). [para(104(a,1),33(a,2,1)),flip(a)]. 268 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(104(a,1),33(a,2,2,2)),flip(a)]. 269 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(104(a,1),35(a,2,1)),flip(a)]. 270 K(x,y) \ (x * y) = T(y * x,K(x,y)). [para(104(a,1),37(a,2,2)),flip(a)]. 271 (x * y) / T(y * x,K(x,y)) = K(x,y). [para(104(a,1),144(a,1,1))]. 272 (x * y) \ (y * x) != z | K(y,x) = z. [para(104(a,1),222(a,1,2)),flip(b)]. 273 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(27,a,128,a)]. 274 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(26,a,128,a)]. 275 (x \ y) \ y = z * (z \ T(x,x \ y)). [hyper(255,a,19,a,b,128,a(flip))]. 276 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(128(a,1),43(a,1,1)),flip(a)]. 277 T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). [para(128(a,1),45(a,1,1)),flip(a)]. 278 T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. [para(128(a,2),128(a,1,2))]. 279 T(x,L(x,y,z)) = x. [hyper(40,a,138,a)]. 280 K(x,L(x,y,z)) = 1. [hyper(41,a,279,a)]. 281 x / K(y,y \ x) = (y \ x) * y. [para(19(a,1),142(a,1,1))]. 282 ((x / y) \ x) * (y \ z) = z. [hyper(255,a,19,a(flip),b,146,a)]. 283 x * (((y / x) \ y) \ z) = z. [hyper(220,a,146,a)]. 284 ((x / y) \ x) * z != u | y \ u = z. [para(146(a,2),87(a,1))]. 285 (x / y) * ((z / y) \ z) = x. [para(73(a,1),148(a,1,2,1,2))]. 286 (x \ y) * z != y | T(x,x \ y) = z. [para(169(a,1),24(a,1)),flip(a)]. 287 (x \ y) \ y != z | T(x,x \ y) = z. [para(169(a,1),222(a,1,2)),flip(b)]. 288 T(x / (x / y),(z / (x / y)) \ z) = y. [para(73(a,2),188(a,1,2))]. 289 x * T(x \ 1,x) = K(x \ 1,x). [hyper(255,a,127,a,b,189,a),flip(a)]. 290 (x \ 1) \ K(x \ 1,x) = x. [hyper(87,a,189,a(flip))]. 292 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(189(a,2),29(a,2,1,2)),flip(a)]. 293 (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). [para(189(a,2),35(a,2,1,1)),flip(a)]. 294 x \ K(x \ 1,x) = T(x \ 1,x). [para(189(a,2),37(a,2,2)),flip(a)]. 295 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(191(a,2),33(a,2,1)),flip(a)]. 296 (x / y) \ x != z * u | z \ y = u. [para(221(a,2),24(a,1))]. 297 x * (x \ y) != z * u | y / u = z. [para(232(a,1),94(a,1,2)),flip(a),flip(b)]. 298 x / (y \ ((x / z) * z)) = y. [hyper(23,a,148,a,b,240,a(flip))]. 299 (x / y) * y != z * u | z \ x = u. [para(240(a,2),24(a,1))]. 300 R(x,y / z,z) * y = (x * (y / z)) * z. [para(35(a,2),249(a,1,1))]. 301 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(254(a,1),35(a,2,1))]. 302 (x / (y \ x)) * z != u | y * z = u. [para(256(a,1),226(a,1,1)),flip(b)]. 303 x / (y \ x) != z | z = y. [para(257(a,2),220(a,1))]. 304 (x * y) / y != z | z = x. [para(18(a,1),303(a,1,2))]. 305 (x * y) / T(x,y) != z | z = y. [para(37(a,2),303(a,1,2))]. 306 x / x != y | 1 = y. [para(59(a,1),303(a,1,2)),flip(b)]. 307 (x * y) / y != z * u | x / u = z. [para(258(a,2),25(a,1))]. 308 ((x / y) * y) * z != u | x * z = u. [para(258(a,1),226(a,1,1)),flip(b)]. 309 x \ (x * y) != z * u | z \ y = u. [para(259(a,2),24(a,1))]. 310 x * (y * (y \ z)) != u | x * z = u. [para(259(a,1),220(a,1,2)),flip(b)]. 311 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(35(a,2),260(a,1,1))]. 312 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(199(a,1),282(a,1,1,1))]. 313 x * ((y / z) \ y) != u | u / z = x. [para(285(a,1),25(a,1)),flip(a)]. 314 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(199(a,1),285(a,1,2,1))]. 315 (x \ 1) * x != y | K(x \ 1,x) = y. [para(290(a,1),220(a,1,2)),flip(b)]. 316 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [para(33(a,2),298(a,1,2))]. 317 x * y != x * z | z = y. [para(17(a,1),85(a,1))]. 318 x \ (x * y) = L(y,x,1). [para(16(a,1),109(a,1,2))]. 319 L(x,y,1) = x. [hyper(222,a,318,a)]. 321 x \ (x * y) = L(y,1,x). [para(17(a,1),110(a,1,1))]. 322 L(x,1,y) = x. [hyper(222,a,321,a)]. 323 L(x,1,y) != z | z = x. [para(321(a,1),222(a,1))]. 325 L(1,x,y) = 1. [hyper(157,a,111,a),flip(a)]. 328 R(1,x,y) = 1. [hyper(306,a,117,a),flip(a)]. 331 (x * y) / y = R(x,1,y). [para(17(a,1),118(a,1,1,1))]. 332 R(x,1,y) = x. [hyper(304,a,331,a)]. 335 (x * y) / y = R(x,y,1). [para(17(a,1),119(a,1,2))]. 336 R(x,y,1) = x. [hyper(304,a,335,a)]. 339 L(x \ 1,x,1 / x) = 1 / x. [hyper(255,a,133,a(flip),b,162,a)]. 340 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(26,a,162,a)]. 341 (x * y) * L(y \ 1,y,x) = x. [para(162(a,2),19(a,1,2))]. 342 L((x \ y) \ 1,x \ y,x) = y \ x. [para(19(a,1),162(a,2,1))]. 343 L(x \ 1,x,y / x) = y \ (y / x). [para(21(a,1),162(a,2,1))]. 344 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(162(a,1),45(a,2,1)),flip(a)]. 345 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(162(a,1),49(a,1,1))]. 346 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(162(a,1),50(a,1,1)),flip(a)]. 347 x / L(y \ 1,y,x) = x * y. [para(162(a,2),70(a,1,2))]. 348 R(1 / x,x,x \ 1) = x \ 1. [hyper(255,a,135,a(flip),b,163,a)]. 349 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(27,a,163,a)]. 350 R(1 / x,x,x \ y) = (x \ y) / y. [para(19(a,1),163(a,2,2))]. 351 R(1 / (x / y),x / y,y) = y / x. [para(21(a,1),163(a,2,2))]. 352 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(163(a,1),47(a,2,1)),flip(a)]. 353 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(163(a,1),51(a,1,1)),flip(a)]. 354 R(1 / x,x,y) \ y = x * y. [para(163(a,2),73(a,1,1))]. 355 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(127(a,1),173(a,2))]. 358 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(43(a,1),174(a,1,2)),flip(b)]. 359 T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. [para(127(a,1),223(a,1,2))]. 360 T(x,x \ y) \ y != z | T(x \ y,T(x,x \ y)) = z. [para(169(a,1),223(a,1,2))]. 361 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(43(a,1),225(a,1,2))]. 362 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(45(a,2),225(a,1,2))]. 363 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(47(a,2),225(a,1,2))]. 364 K(x \ 1,x) != y | (x \ 1) * x = y. [para(31(a,2),227(a,1)),flip(b)]. 365 K(x,1 / x) != y | x * (1 / x) = y. [para(31(a,2),228(a,1)),flip(b)]. 366 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(33(a,2),228(a,1)),flip(b)]. 367 x * (y * (y \ 1)) != z * u | z \ x = u. [para(19(a,2),235(a,1,2))]. 368 x * (x \ y) != z * u | z \ y = u. [para(234(a,2),235(a,1))]. 369 (x / y) * y != z * u | x / u = z. [para(237(a,2),239(a,1))]. 371 ((1 / x) * x) * y != z * u | y / u = z. [para(21(a,2),248(a,1,1))]. 372 L(T(x \ 1,y),x,1 / x) = T(1 / x,y). [para(339(a,1),45(a,2,1))]. 373 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(341(a,1),33(a,2,2,2))]. 374 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(341(a,1),222(a,1,2)),flip(b)]. 375 x / L(y,1 / y,x) = x * (1 / y). [para(73(a,1),347(a,1,2,1))]. 376 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(347(a,1),282(a,1,1,1))]. 377 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(347(a,1),283(a,1,2,1,1))]. 378 R(T(1 / x,y),x,x \ 1) = T(x \ 1,y). [para(348(a,1),47(a,2,1))]. 379 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(70(a,1),354(a,1,1,1))]. 380 x / (y * x) != z | R(1 / y,y,x) = z. [para(354(a,1),303(a,1,2)),flip(b)]. 381 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(80,a,128,a,b,19,a)]. 382 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(80,a,33,a,b,133,a(flip))]. 383 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(80,a,33,a,b,132,a(flip))]. 384 (T(x,x \ y) / z) \ ((x \ y) \ y) = z. [hyper(80,a,128,a(flip),b,21,a)]. 385 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(81,a,35,a,b,135,a(flip))]. 386 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(81,a,162,a(flip),b,16,a)]. 387 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(18(a,1),105(a,2,1)),flip(a)]. 388 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(127(a,2),105(a,1,2))]. 390 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(189(a,2),106(a,1,1))]. 391 K(x,1 / x) \ 1 = K(1 / x,x). [para(191(a,2),108(a,1,1))]. 392 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(170(a,1),33(a,2,2))]. 393 T(x,y) * z != z * u | T(T(x,z),y) = u. [para(182(a,1),24(a,1))]. 394 x * T(x \ (y * x),z) = T(y,z) * x. [para(37(a,1),182(a,1,2,1))]. 395 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(43(a,1),182(a,1,2,1))]. 396 T(x / y,z) * y = y * T(y \ x,z). [para(129(a,1),182(a,1,2,1)),flip(a)]. 397 T((x * y) / x,z) * x = x * T(y,z). [para(166(a,1),182(a,1,2,1)),flip(a)]. 398 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(128(a,1),182(a,1,2,1))]. 399 T(x / (x / y),z) * (x / y) = (x / y) * T(y,z). [para(188(a,1),182(a,1,2,1)),flip(a)]. 400 (x * T(x \ y,z)) / x = T(y / x,z). [para(185(a,1),167(a,1,1,2))]. 401 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(185(a,1),225(a,1,2))]. 402 T(x,T(T(x,y),z)) = x. [hyper(40,a,197,a)]. 403 K(x,T(T(x,y),z)) = 1. [hyper(41,a,402,a)]. 404 (x * T(y,z)) / x = T((x * y) / x,z). [para(202(a,1),167(a,1,1,2))]. 405 T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). [para(128(a,1),202(a,1,1))]. 407 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(188(a,1),205(a,1,1,2,1))]. 408 (x \ y) * x != y * z | K(x \ y,x) = z. [para(263(a,1),24(a,1))]. 409 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(263(a,1),33(a,2,2,2)),flip(a)]. 410 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(263(a,1),222(a,1,2)),flip(b)]. 411 x * (y / x) != y * z | K(x,y / x) = z. [para(264(a,1),24(a,1))]. 412 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(264(a,1),222(a,1,2)),flip(b)]. 413 x * T(x \ 1,x) != y | K(x \ 1,x) = y. [para(294(a,1),220(a,1,2)),flip(b)]. 415 (x * y) * L(z,y,x) != x * u | y * z = u. [para(33(a,2),88(a,1,2)),flip(b)]. 416 x \ (x * y) != z * u | y / u = z. [para(21(a,1),93(a,1,2,2)),flip(b)]. 417 (x * y) / L(z \ y,z,x) = x * z. [hyper(81,a,97,a(flip),b,112,a)]. 418 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(255,a,99,a(flip),b,112,a(flip)),flip(a)]. 419 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(255,a,98,a(flip),b,112,a(flip)),flip(a)]. 420 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [hyper(81,a,112,a(flip),b,127,a)]. 421 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(80,a,112,a(flip),b,127,a)]. 422 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(112(a,1),24(a,1)),flip(a)]. 423 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(112(a,1),33(a,2,1)),flip(a)]. 424 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(112(a,1),33(a,2,2,2)),flip(a)]. 425 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(112(a,1),35(a,2,1,1)),flip(a)]. 426 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(112(a,1),35(a,2,1)),flip(a)]. 427 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(45(a,1),112(a,1,2))]. 428 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(49(a,2),112(a,1,2))]. 429 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(50(a,1),112(a,1,2))]. 430 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(127(a,1),112(a,1,1))]. 431 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(112(a,1),222(a,1,2)),flip(b)]. 432 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(112(a,1),104(a,1,1))]. 433 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(189(a,2),112(a,1,1))]. 434 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(112(a,1),158(a,1))]. 435 L(x \ (y * x),x,y) = T(y,y * x). [hyper(255,a,37,a,b,114,a)]. 436 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(255,a,133,a(flip),b,114,a)]. 437 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(255,a,132,a(flip),b,114,a)]. 438 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(255,a,107,a(flip),b,114,a)]. 439 L((x \ y) \ z,x \ y,x) = y \ (x * z). [para(19(a,1),114(a,2,1))]. 440 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(21(a,1),114(a,2,1))]. 441 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(29(a,2),114(a,1,1)),flip(a)]. 442 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(114(a,1),45(a,2,1)),flip(a)]. 443 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(127(a,1),114(a,2,1))]. 444 L(K(x,y) \ z,K(x,y),y * x) = (x * y) \ ((y * x) * z). [para(104(a,1),114(a,2,1))]. 445 L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). [para(191(a,2),114(a,2,2))]. 446 x / L(y \ z,y,x / z) = (x / z) * y. [para(114(a,2),298(a,1,2))]. 447 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(114(a,2),227(a,1)),flip(b)]. 448 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(112(a,1),114(a,2,1))]. 449 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(112(a,1),114(a,2,2))]. 450 R(x / y,y,x \ z) \ z = y * (x \ z). [hyper(80,a,254,a(flip),b,122,a)]. 451 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(80,a,99,a(flip),b,122,a)]. 452 R(x / y,y,z) \ (x * z) = y * z. [hyper(80,a,98,a(flip),b,122,a)]. 453 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(80,a,122,a(flip),b,112,a)]. 454 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(122(a,1),25(a,1))]. 456 ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). [para(122(a,1),31(a,2,1)),flip(a)]. 457 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(122(a,1),35(a,2,1,1)),flip(a)]. 458 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(122(a,1),35(a,2,2)),flip(a)]. 459 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(47(a,1),122(a,1,1))]. 460 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(49(a,1),122(a,1,1))]. 461 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(51(a,1),122(a,1,1))]. 462 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(127(a,1),122(a,1,2))]. 463 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(122(a,1),104(a,1,1))]. 464 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(104(a,1),122(a,1,2))]. 465 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(189(a,2),122(a,1,2))]. 466 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(122(a,1),304(a,1,1)),flip(b)]. 467 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(122(a,2),304(a,1,1)),flip(b)]. 468 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(122(a,1),159(a,1)),flip(b)]. 470 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(122(a,1),122(a,1,2))]. 471 R(x / (1 / y),1 / y,y) = x * y. [hyper(255,a,136,a(flip),b,123,a)]. 472 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(255,a,135,a(flip),b,123,a)]. 473 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(19(a,1),123(a,2,2))]. 474 R(x / (y / z),y / z,z) = (x * z) / y. [para(21(a,1),123(a,2,2))]. 475 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(123(a,1),47(a,2,1)),flip(a)]. 476 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(123(a,2),129(a,1,1))]. 477 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(198(a,1),123(a,2,2))]. 478 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(163(a,2),123(a,1,1))]. 479 R(x / (1 / y),1 / y,y) != z | x * y = z. [para(123(a,2),218(a,1)),flip(b)]. 480 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(122(a,1),123(a,2,1))]. 481 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(122(a,1),123(a,2,2))]. 482 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(123(a,2),123(a,1,1))]. 483 (x * y) / L(z,y / z,x) = x * (y / z). [para(21(a,1),143(a,1,1,2))]. 484 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(127(a,1),143(a,1,1,2))]. 485 (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). [para(104(a,1),143(a,1,1,2))]. 486 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(127(a,1),149(a,1,2,1))]. 487 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(104(a,1),149(a,1,2,1))]. 488 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(263(a,1),149(a,1,2,1))]. 489 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(112(a,1),149(a,1,2,1))]. 490 K(x,1 / x) \ x = L(x,1 / x,x). [para(191(a,2),165(a,2,1)),flip(a)]. 491 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(80,a,50,a,b,190,a)]. 492 x \ R(L(y,x \ 1,x),z,u) = (x \ 1) * R(y,z,u). [hyper(80,a,49,a,b,190,a)]. 493 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(80,a,45,a(flip),b,190,a)]. 494 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [para(127(a,1),190(a,1,2)),flip(a)]. 495 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(80,a,50,a,b,192,a)]. 496 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(127(a,1),192(a,1,2)),flip(a)]. 497 (1 / x) \ L(y,x,1 / x) != z | x * y = z. [para(192(a,1),222(a,1,2)),flip(b)]. 498 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(81,a,49,a(flip),b,193,a)]. 499 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(80,a,193,a(flip),b,127,a)]. 500 R(x,y,y \ 1) / (y \ 1) != z * y | z = x. [para(193(a,1),95(a,1,1))]. 501 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(81,a,51,a,b,194,a)]. 502 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(81,a,49,a(flip),b,194,a)]. 503 K(x,1 / x) * x = R(x,1 / x,x). [para(191(a,2),194(a,1,1))]. 505 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(241(a,1),45(a,2,1))]. 506 L(R(x \ (y \ z),u,w),x,y) = R((y * x) \ z,u,w). [para(241(a,1),49(a,1,1)),flip(a)]. 507 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(241(a,1),50(a,1,1)),flip(a)]. 508 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(73(a,1),241(a,1,1))]. 509 (x * (y / x)) \ y != z | K(y / x,x) = z. [para(21(a,1),272(a,1,2))]. 510 R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w. [para(35(a,2),296(a,1,1))]. 514 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(259(a,1),297(a,1,2))]. 517 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(258(a,1),299(a,1,1))]. 519 (x * (x \ y)) * z != u | y * z = u. [para(257(a,1),302(a,1,1))]. 520 (((x * y) / z) * z) / y != u * w | x / w = u. [para(21(a,2),307(a,1,1))]. 523 (x / y) \ (z * (z \ x)) != u * w | u \ y = w. [para(240(a,1),309(a,1,2))]. 524 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(342(a,1),279(a,1,2))]. 525 K((x \ y) \ 1,y \ x) = 1. [para(342(a,1),280(a,1,2))]. 526 K(((x * y) \ x) \ 1,y) = 1. [para(18(a,1),525(a,1,2))]. 527 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(343(a,1),45(a,2,1)),flip(a)]. 528 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(350(a,1),47(a,2,1)),flip(a)]. 529 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(350(a,2),123(a,1,1))]. 530 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(19(a,2),368(a,1,2))]. 533 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(259(a,1),368(a,1,2))]. 534 (((x / y) / z) * z) * y != u * w | x / w = u. [para(21(a,2),369(a,1,1))]. 535 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(258(a,1),369(a,1,1))]. 537 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(383(a,1),220(a,1,2)),flip(b)]. 540 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(341(a,1),416(a,1,2))]. 541 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(122(a,1),416(a,1,2))]. 542 L(T(x,y),y,x) = T(x,x * y). [para(37(a,2),435(a,1,1))]. 543 T(L(x,y,x),y) = T(x,x * y). [hyper(255,a,45,a(flip),b,542,a(flip)),flip(a)]. 544 L(T(T(x,y),z),y,x) = T(T(x,x * y),z). [para(542(a,1),45(a,2,1))]. 545 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(542(a,1),49(a,1,1)),flip(a)]. 546 L(L(T(x,y),z,u),y,x) = L(T(x,x * y),z,u). [para(542(a,1),50(a,1,1)),flip(a)]. 547 x * T(y,y * x) = L(y,x,y) * x. [para(543(a,1),127(a,1,2))]. 548 (x * T(y,y * x)) / x = L(y,x,y). [para(543(a,1),167(a,1,1,2))]. 550 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(436(a,1),45(a,2,1))]. 551 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(436(a,1),49(a,1,1)),flip(a)]. 552 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(437(a,1),45(a,2,1))]. 553 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(437(a,1),279(a,1,2))]. 554 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(471(a,1),47(a,2,1))]. 555 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(472(a,1),47(a,2,1))]. 556 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(472(a,1),51(a,1,1)),flip(a)]. 557 K(x,1 / x) * L(x,1 / x,x) = x. [para(490(a,1),19(a,1,2))]. 558 ((x / y) \ x) * z != u | y * z = u. [para(221(a,2),519(a,1,1))]. 559 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(19(a,1),547(a,1,2,2)),flip(a)]. 561 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(127(a,1),547(a,1,2,2)),flip(a)]. 562 ((x \ y) * T(x,y)) / (x \ y) = L(x,x \ y,x). [para(19(a,1),548(a,1,1,2,2))]. 563 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(557(a,1),24(a,1)),flip(a)]. 564 T(x / y,(z / y) \ z) = y \ x. [hyper(172,a,285,a,b,282,a)]. 565 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(255,a,112,a(flip),b,183,a(flip)),flip(a)]. 566 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [hyper(80,a,183,a(flip),b,112,a(flip))]. 568 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(183(a,1),29(a,2,1,2)),flip(a)]. 569 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(47(a,2),183(a,1,2,1))]. 570 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(129(a,1),183(a,1,2,1)),flip(a)]. 571 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(166(a,1),183(a,1,2,1)),flip(a)]. 572 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(128(a,1),183(a,1,2,1))]. 573 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(255,a,122,a(flip),b,184,a)]. 574 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(80,a,122,a(flip),b,184,a)]. 576 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(43(a,1),184(a,1,2,1))]. 577 R(x,y,z) * x = x * R(x,y,z). [para(126(a,1),184(a,1,2,1)),flip(a)]. 578 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(129(a,1),184(a,1,2,1)),flip(a)]. 579 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(137(a,1),184(a,1,2,1)),flip(a)]. 580 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(166(a,1),184(a,1,2,1)),flip(a)]. 581 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(128(a,1),184(a,1,2,1))]. 582 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(188(a,1),184(a,1,2,1)),flip(a)]. 583 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(542(a,2),184(a,1,2,1))]. 584 T(x,R(x,y,z)) = x. [hyper(173,a,577,a)]. 585 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(186(a,1),167(a,1,1,2))]. 586 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(187(a,1),167(a,1,1,2))]. 587 T(x / (y * x),y) = R(y \ 1,y,x). [para(163(a,1),187(a,1,1))]. 588 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(123(a,1),187(a,1,1))]. 589 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(253(a,1),187(a,1,1)),flip(a)]. 590 T((x \ y) / y,x) = R(x \ 1,x,x \ y). [para(350(a,1),187(a,1,1))]. 591 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(351(a,1),187(a,1,1)),flip(a)]. 592 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(472(a,1),187(a,1,1)),flip(a)]. 593 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(587(a,1),127(a,1,2)),flip(a)]. 594 x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. [para(587(a,1),225(a,1,2))]. 595 ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). [hyper(225,a,273,a),flip(a)]. 596 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(80,a,273,a,b,xx)]. 597 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). [hyper(80,a,273,a(flip),b,112,a)]. 598 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(273(a,2),31(a,2,1)),flip(a)]. 599 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(273(a,2),33(a,2,1)),flip(a)]. 600 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(273(a,2),272(a,1,1))]. 601 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(369,a,274,a),flip(a)]. 602 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(81,a,274,a,b,xx)]. 603 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). [hyper(80,a,274,a(flip),b,104,a)]. 605 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(275(a,2),310(a,1,2))]. 608 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(21(a,1),374(a,1,1))]. 609 K(x \ 1,x) \ (x \ 1) != y | L(x \ 1,x,x \ 1) = y. [para(189(a,2),374(a,1,1))]. 611 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(127(a,1),380(a,1,2))]. 612 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(191(a,2),380(a,1,2))]. 613 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(381(a,2),199(a,1,2,2))]. 614 K(x \ (x * y),x) = K(y,x). [hyper(255,a,105,a(flip),b,387,a),flip(a)]. 615 K(x \ (x * y),z) = K(y,z). [para(61(a,1),614(a,1,1)),flip(a)]. 616 K((x / y) \ x,z) = K(y,z). [para(21(a,1),615(a,1,1,2))]. 617 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(396(a,1),304(a,1,1)),flip(b)]. 618 T((x * y) / x,y * x) = L(y,x,y). [hyper(23,a,547,a(flip),b,397,a)]. 619 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(255,a,273,a(flip),b,397,a(flip)),flip(a)]. 620 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(397(a,1),304(a,1,1)),flip(b)]. 621 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(19(a,1),618(a,1,2))]. 622 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(618(a,1),43(a,1,1)),flip(a)]. 623 ((x * y) / x) * (y * x) = (y * x) * L(y,x,y). [para(618(a,1),127(a,1,2)),flip(a)]. 624 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(400(a,1),226(a,1,1)),flip(b)]. 626 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(404(a,2),127(a,1,2))]. 627 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(129(a,1),404(a,1,1,2)),flip(a)]. 628 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(404(a,1),226(a,1,1)),flip(b)]. 629 T(x * y,(x \ 1) \ y) = x * y. [hyper(40,a,553,a)]. 632 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(81,a,99,a(flip),b,100,a)]. 633 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(19(a,1),100(a,1,1,2))]. 634 x * a(x,y,y \ 1) = (x * y) * (y \ 1). [para(64(a,1),100(a,1,1))]. 635 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(127(a,1),100(a,1,1,2))]. 636 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(100(a,1),222(a,1,2)),flip(b)]. 637 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(122(a,1),100(a,1,1))]. 638 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(127(a,1),113(a,1,2,2)),flip(a)]. 639 L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). [para(127(a,1),115(a,1,2,2)),flip(a)]. 640 L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). [para(112(a,1),115(a,1,2,2)),flip(a)]. 641 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(120(a,2),246(a,1,1))]. 642 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(120(a,2),250(a,1,1))]. 643 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(193(a,1),161(a,1,2))]. 644 x * a(x,y,y \ 1) = R(x,y,y \ 1). [para(643(a,1),19(a,1,2))]. 646 x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(644(a,1),222(a,1,2)),flip(b)]. 647 x \ (K(x,1 / x) * x) = a(x,1 / x,x). [para(191(a,2),164(a,1,2,1))]. 648 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(194(a,1),164(a,1,2))]. 649 (x * y) \ (x * (z * y)) = T(L(z,y,x),y). [hyper(255,a,45,a(flip),b,179,a)]. 651 L(T(x,y),y,1 / y) != z | (1 / y) * (x * y) = z. [para(179(a,1),228(a,1)),flip(b)]. 652 x * ((y * x) \ (y * (z * x))) = L(z,x,y) * x. [para(179(a,2),183(a,1,2))]. 653 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). [para(269(a,1),396(a,1,1,1)),flip(a)]. 654 L(R(x,y / z,z),u,w) * y = (L(x,u,w) * (y / z)) * z. [para(49(a,1),300(a,1,1))]. 655 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(49(a,1),311(a,1,1))]. 656 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(344(a,2),112(a,1,2))]. 657 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(220,a,349,a)]. 658 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(255,a,129,a(flip),b,352,a(flip))]. 659 T(x / (y * x),z) * (y * x) = (T(1 / y,z) * y) * x. [para(352(a,2),122(a,1,1))]. 660 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(128(a,1),358(a,1,2))]. 661 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(37(a,1),361(a,1,2,1))]. 662 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(255,a,129,a(flip),b,372,a)]. 663 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [hyper(80,a,372,a(flip),b,192,a)]. 664 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(173,a,376,a),flip(a)]. 665 T(x \ 1,y) / (x \ 1) = T(1 / x,y) * x. [hyper(81,a,378,a(flip),b,193,a)]. 666 K(x,y) = L(x \ T(x,y),x,y). [hyper(255,a,31,a,b,392,a),flip(a)]. 667 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(392(a,1),45(a,2,1))]. 669 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(127(a,2),410(a,1,2))]. 670 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(255,a,183,a(flip),b,418,a(flip))]. 671 x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z). [hyper(80,a,183,a(flip),b,418,a(flip))]. 672 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(418(a,1),24(a,1))]. 673 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(50(a,1),418(a,1,2))]. 674 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(418(a,1),222(a,1,2)),flip(b)]. 675 L(x \ y,x,y / x) = T(y / x,y). [hyper(172,a,97,a(flip),b,419,a),flip(a)]. 676 (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. [hyper(255,a,183,a(flip),b,419,a(flip))]. 677 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(439(a,1),45(a,2,1))]. 678 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(439(a,1),49(a,1,1)),flip(a)]. 679 R(x,T(y,x),(y * x) \ z) \ z = T(y,x) * ((y * x) \ z). [para(144(a,1),450(a,1,1,1))]. 680 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(451(a,1),303(a,1,2)),flip(b)]. 681 T(R(x / y,y,y \ z),z) = z \ (x * (y \ z)). [para(473(a,2),129(a,1,1))]. 682 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(474(a,1),47(a,2,1))]. 683 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(474(a,1),51(a,1,1)),flip(a)]. 684 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(163(a,2),474(a,1,1,2))]. 685 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(474(a,1),187(a,1,1)),flip(a)]. 686 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(484(a,1),219(a,1,1)),flip(b)]. 687 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(255,a,662,a(flip),b,496,a(flip))]. 688 (1 / x) \ (x \ 1) = (x \ 1) * x. [hyper(80,a,662,a(flip),b,496,a(flip))]. 689 x * ((1 / x) * (y * x)) = L(y,x,1 / x) * x. [para(496(a,1),183(a,1,2))]. 690 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(73(a,1),687(a,1,2,1))]. 691 (1 / x) * K(x \ 1,x) = x \ 1. [para(189(a,2),687(a,1,2))]. 692 (1 / x) \ (x \ 1) = K(x \ 1,x). [hyper(255,a,189,a,b,688,a)]. 693 K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1). [hyper(80,a,691,a(flip),b,140,a(flip)),flip(a)]. 694 (x \ 1) \ ((1 / x) * (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [para(691(a,1),33(a,2,1)),flip(a)]. 695 K(x \ 1,x) * y != x \ 1 | T(1 / x,K(x \ 1,x)) = y. [para(691(a,1),173(a,2))]. 696 (x \ 1) * L(y,K(x \ 1,x),1 / x) = (1 / x) * (K(x \ 1,x) * y). [para(691(a,1),112(a,1,1))]. 697 (x * (y \ 1)) / L(K(y \ 1,y),1 / y,x) = x * (1 / y). [para(691(a,1),143(a,1,1,2))]. 699 x / L(K(y \ 1,y),1 / y,x / (y \ 1)) = (x / (y \ 1)) * (1 / y). [para(692(a,1),446(a,1,2,1))]. 702 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(544(a,1),112(a,1,2))]. 703 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(18(a,1),588(a,2,1)),flip(a)]. 704 T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). [para(588(a,1),185(a,1,1))]. 705 T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. [para(589(a,1),122(a,1,1))]. 706 T((x \ y) / y,x) * y = ((x \ 1) * x) * (x \ y). [para(590(a,2),311(a,1,1))]. 707 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(18(a,1),592(a,1,1)),flip(a)]. 708 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(21(a,1),593(a,1,1,2)),flip(a)]. 709 R(x \ 1,x,y) \ ((y / (x * y)) * x) != z | T(x,R(x \ 1,x,y)) = z. [para(593(a,2),223(a,1,2))]. 710 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(593(a,1),272(a,1,1))]. 711 T(K(x,1 / x),x) = a(x,1 / x,x). [hyper(223,a,647,a)]. 712 T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). [para(21(a,1),649(a,1,1)),flip(a)]. 713 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(19(a,1),657(a,1,1,2))]. 714 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(703(a,2),127(a,1,2)),flip(a)]. 715 T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). [para(136(a,1),703(a,2,1)),flip(a)]. 716 T(R(x,y,x),y * x) = T(x,y). [para(703(a,2),202(a,1,1))]. 717 R(x,y,x) * (y * x) = (y * x) * T(x,y). [para(703(a,2),397(a,1,1))]. 718 R(T(x,y * x),y,x) = T(x,y). [hyper(255,a,47,a,b,716,a(flip)),flip(a)]. 719 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(716(a,1),183(a,1,2,1)),flip(a)]. 720 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(716(a,1),184(a,1,2,1)),flip(a)]. 721 R(T(x,y),y / x,x) = T(x,y / x). [para(21(a,1),718(a,1,1,2))]. 722 x * R(T(y,x * y),x,y) = y * x. [para(718(a,2),127(a,1,2))]. 724 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(718(a,1),122(a,1,1)),flip(a)]. 725 R(x,1 / x,x) = T(x,1 / x). [para(153(a,1),721(a,1,1))]. 726 T(x,1 / x) / x = K(x,1 / x). [hyper(81,a,725,a(flip),b,503,a)]. 727 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(725(a,1),51(a,1,1)),flip(a)]. 728 x \ T(x,1 / x) = a(x,1 / x,x). [para(725(a,1),648(a,1,2))]. 729 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [para(707(a,1),167(a,1,1,2))]. 730 (x * y) * T(y,x) = (y * x) * y. [hyper(255,a,122,a(flip),b,717,a(flip))]. 731 (x * (y / x)) * x = y * T(x,y / x). [hyper(308,a,730,a),flip(a)]. 732 ((x \ 1) * x) \ x = T(x,x \ 1). [hyper(80,a,62,a(flip),b,730,a)]. 733 K(x \ 1,x) \ x = T(x,x \ 1). [para(189(a,2),732(a,1,1))]. 734 K(x \ 1,x) \ x = (x \ 1) \ 1. [hyper(255,a,128,a(flip),b,733,a)]. 735 K(x \ 1,x) * ((x \ 1) \ 1) = x. [para(734(a,1),19(a,1,2))]. 736 K(x,1 / x) \ (1 / x) = ((1 / x) \ 1) \ 1. [para(73(a,1),734(a,1,1,1))]. 737 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(255,a,47,a,b,130,a),flip(a)]. 739 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(49(a,2),224(a,1,2))]. 741 K(x \ 1,x) * L(y,x,x \ 1) != z | (x \ 1) * (x * y) = z. [para(189(a,2),224(a,1,1))]. 747 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(127(a,1),230(a,1,2))]. 749 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(104(a,1),422(a,1,1)),flip(a)]. 750 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(127(a,1),431(a,1,1))]. 751 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(66(a,1),431(a,1,2))]. 752 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(112(a,1),431(a,1,2,2))]. 754 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(100(a,1),431(a,1,2,2))]. 757 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(263(a,1),454(a,2,2))]. 758 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(691(a,1),454(a,2,2))]. 759 x / (y * z) != u | R((x / z) / y,y,z) = u. [para(78(a,1),466(a,1,1))]. 761 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(189(a,2),537(a,1,2))]. 762 L(1 / x,x,y) * x = x * ((y * x) \ y). [hyper(255,a,340,a(flip),b,570,a)]. 763 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [hyper(81,a,340,a(flip),b,570,a)]. 764 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(342(a,1),570(a,2,2))]. 765 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(19(a,1),763(a,1,1,2,1))]. 767 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(96,a,571,a),flip(a)]. 768 L((x * (y \ 1)) / x,y,z) = (x * ((z * y) \ z)) / x. [hyper(81,a,340,a(flip),b,571,a),flip(a)]. 769 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(81,a,112,a(flip),b,571,a),flip(a)]. 771 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(578(a,1),193(a,1,1))]. 772 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(269(a,1),578(a,1,1,1)),flip(a)]. 773 T(x,R(T(x,y),z,u)) = x. [hyper(173,a,579,a)]. 774 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(230,a,580,a)]. 775 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(96,a,580,a),flip(a)]. 776 (((x * y) / x) * z) * (z \ x) = x * R(y,z,z \ x). [hyper(255,a,311,a(flip),b,580,a(flip)),flip(a)]. 777 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(81,a,580,a(flip),b,311,a(flip))]. 778 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(81,a,580,a(flip),b,122,a(flip))]. 779 ((x / y) * L(y,z,u)) / (x / y) = L(x / (x / y),z,u). [para(73(a,1),585(a,1,1,2,1))]. 780 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(585(a,1),226(a,1,1)),flip(b)]. 781 (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). [para(114(a,1),585(a,1,1,2))]. 782 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(241(a,1),585(a,1,1,2)),flip(a)]. 783 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(436(a,1),585(a,1,1,2))]. 784 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(666(a,2),585(a,1,1,2)),flip(a)]. 785 ((x \ y) * (y \ (x * z))) / (x \ y) = L(z / (x \ y),x \ y,x). [para(439(a,1),585(a,1,1,2))]. 786 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(33(a,2),586(a,1,1,2,1))]. 787 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(73(a,1),586(a,1,1,2,1))]. 788 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(586(a,1),226(a,1,1)),flip(b)]. 789 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(129(a,1),626(a,1,2,1,2)),flip(a)]. 790 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(128(a,1),626(a,1,2,1,2))]. 791 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(627(a,1),167(a,1,1,2))]. 792 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(627(a,1),168(a,1,2,2))]. 793 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(255,a,396,a(flip),b,665,a)]. 794 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(255,a,73,a(flip),b,690,a)]. 796 (1 / (1 / x)) * K(x,1 / x) = x. [para(191(a,2),794(a,1,2))]. 798 K(x,1 / x) \ (1 / x) = x \ 1. [para(73(a,1),736(a,2,1))]. 799 K(x,1 / x) * (x \ 1) = 1 / x. [para(798(a,1),19(a,1,2))]. 800 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(129(a,1),737(a,1,1,1)),flip(a)]. 801 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(767(a,2),226(a,1,1)),flip(b)]. 802 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(767(a,1),112(a,1,2))]. 803 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(343(a,1),767(a,2,1,2))]. 804 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(436(a,1),767(a,2,1,2))]. 805 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(437(a,1),767(a,2,1,2))]. 806 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(439(a,1),767(a,2,1,2))]. 807 R((x * y) / x,z,u) * x != w | x * R(y,z,u) = w. [para(775(a,2),226(a,1,1)),flip(b)]. 808 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(163(a,1),775(a,2,1,2))]. 809 ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. [para(775(a,1),122(a,1,1))]. 810 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(253(a,1),775(a,2,1,2))]. 812 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(471(a,1),775(a,2,1,2))]. 813 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(472(a,1),775(a,2,1,2))]. 814 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(775(a,1),230(a,1,1))]. 815 T(x * T(x \ 1,y),x \ 1) = (x \ 1) \ T(x \ 1,y). [para(793(a,1),129(a,1,1))]. 816 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(731(a,1),102(a,1,2))]. 817 R(x,y,(x * y) \ z) \ z != u | y * ((x * y) \ z) = u. [para(121(a,2),219(a,1,1)),flip(b)]. 818 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(255,a,404,a(flip),b,181,a(flip)),flip(a)]. 819 T(R(x,y,T(x,y)),x * y) = T(x,y). [para(181(a,1),166(a,1,1))]. 820 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(255,a,47,a,b,819,a(flip)),flip(a)]. 821 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(345(a,2),112(a,1,2))]. 822 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(255,a,114,a(flip),b,346,a)]. 823 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(339(a,1),346(a,1,1)),flip(a)]. 824 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(346(a,1),112(a,1,2))]. 826 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(19(a,1),823(a,1,1,1))]. 827 R(x / (y * x),z,u) * (y * x) = (R(1 / y,z,u) * y) * x. [para(353(a,1),122(a,1,1))]. 831 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(114(a,1),427(a,1,2,1))]. 832 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(241(a,1),427(a,1,2,1))]. 833 x * (y * T(y \ T(y,x),z)) = (x * y) * T(K(y,x),z). [para(666(a,2),427(a,1,2,1)),flip(a)]. 834 x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). [hyper(362,a,430,a),flip(a)]. 835 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [para(50(a,1),430(a,1,2))]. 836 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(345(a,2),430(a,1,2))]. 837 (x * y) * L((y * T(x,y)) \ y,z,u) = y * (T(x,y) * L(T(x,y) \ 1,z,u)). [para(346(a,1),430(a,1,2))]. 838 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(127(a,1),442(a,1,1,1)),flip(a)]. 839 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(442(a,2),224(a,1,2))]. 840 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(443(a,1),49(a,1,1)),flip(a)]. 841 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(443(a,1),50(a,1,1)),flip(a)]. 842 (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). [para(253(a,1),459(a,1,1,1)),flip(a)]. 843 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(820(a,1),462(a,1,1)),flip(a)]. 844 R(T((x * y) / x,z),x,y) * (x * y) = (x * y) * T(y,z). [para(475(a,1),397(a,1,1))]. 845 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(476(a,1),626(a,1,2,1,2)),flip(a)]. 846 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [para(476(a,1),737(a,2,1))]. 847 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(127(a,1),486(a,1,2))]. 848 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(437(a,1),493(a,1,2,1)),flip(a)]. 849 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(505(a,1),224(a,1,2))]. 850 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(70(a,1),517(a,1,1,1))]. 851 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(527(a,2),419(a,1,2)),flip(a)]. 852 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(528(a,2),311(a,1,1))]. 854 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(546(a,1),112(a,1,2))]. 855 (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). [hyper(366,a,550,a)]. 856 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(255,a,496,a(flip),b,550,a(flip)),flip(a)]. 857 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(80,a,550,a(flip),b,192,a)]. 858 T((1 / x) * (x * y),x) = (1 / x) * (y * x). [para(18(a,1),856(a,1,2,1)),flip(a)]. 859 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(255,a,494,a(flip),b,552,a(flip)),flip(a)]. 860 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(80,a,552,a(flip),b,494,a(flip))]. 861 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(81,a,554,a(flip),b,194,a),flip(a)]. 862 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(81,a,555,a(flip),b,193,a)]. 864 ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). [para(196(a,1),562(a,1,1,2))]. 865 L(x,x \ y,x) * (x \ y) != z | (x \ y) * T(x,y) = z. [para(562(a,1),226(a,1,1)),flip(b)]. 866 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(162(a,1),565(a,2,1)),flip(a)]. 867 R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). [hyper(80,a,100,a(flip),b,573,a),flip(a)]. 868 (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. [para(573(a,1),24(a,1)),flip(a)]. 870 T(x / y,y / x) * y = (((y / x) \ 1) * (y / x)) * x. [para(591(a,1),300(a,1,1))]. 871 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(255,a,45,a,b,622,a)]. 872 L(((x * y) * x) / (x * y),y,x) = (y * x) / y. [hyper(23,a,571,a,b,623,a),flip(a)]. 873 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(70(a,1),624(a,1,1,1))]. 874 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(665(a,2),624(a,1))]. 875 T(x / (x / y),z) * (x / y) != u | (x / y) * T(y,z) = u. [para(21(a,1),628(a,1,1,1,1))]. 876 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(127(a,1),632(a,1,1))]. 877 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(81,a,633,a(flip),b,127,a)]. 878 x \ ((x / y) * ((y \ 1) * y)) = T(x \ (x / y),y). [hyper(255,a,527,a,b,639,a(flip))]. 880 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(342(a,1),671(a,1,2,1)),flip(a)]. 881 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [para(439(a,1),671(a,1,2,1)),flip(a)]. 882 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(255,a,47,a,b,681,a(flip)),flip(a)]. 883 x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). [para(440(a,1),712(a,1,1)),flip(a)]. 884 ((x * T(y,x * y)) * y) / (x * y) = y. [hyper(23,a,722,a(flip),b,714,a)]. 885 (x * T(y,x * y)) * y = y * (x * y). [para(884(a,1),21(a,1,1)),flip(a)]. 886 (x * (y * x)) / x = y * T(x,y * x). [para(884(a,1),77(a,1,1,1))]. 887 T(x * T(y,x * y),y) = x * y. [hyper(172,a,885,a,b,xx)]. 890 T((x / y) * T(y,(x / y) * y),y) = x. [hyper(255,a,21,a(flip),b,887,a)]. 891 x \ ((y * (x * y)) / y) != z | T(y,x * y) = z. [para(886(a,2),222(a,1,2)),flip(b)]. 892 T((x / y) * T(y,x),y) = x. [para(21(a,1),890(a,1,1,2,2))]. 893 T(x * T(x \ y,y),x \ y) = y. [para(70(a,1),892(a,1,1,1))]. 894 (x / y) * T(y,x) = (y * x) / y. [para(892(a,1),167(a,1,1,2)),flip(a)]. 895 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [para(893(a,1),167(a,1,1,2))]. 896 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(172,a,894,a,b,19,a),flip(a)]. 897 ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). [hyper(81,a,894,a(flip),b,127,a)]. 899 T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z. [para(894(a,1),223(a,1,2))]. 900 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(347(a,1),894(a,1,1)),flip(a)]. 901 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(375(a,1),894(a,1,1)),flip(a)]. 902 T(x,y * T(y \ x,x)) = x. [para(895(a,1),207(a,1,2))]. 903 T(x,(x * y) * L(T(y \ 1,x),y,x)) = x. [para(344(a,1),902(a,1,2,2))]. 904 T(x,x * (y * T(y \ 1,x))) = x. [para(112(a,1),903(a,1,2))]. 905 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(21(a,1),782(a,2,1,2,1))]. 906 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(37(a,2),782(a,2,1,2))]. 907 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(177(a,1),782(a,2,1,2))]. 908 L(((x * y) * x) / (x * y),y,x) * y = y * x. [para(872(a,2),21(a,1,1))]. 909 (x \ (y * (z \ x))) * x = (T(y / z,x) * z) * (z \ x). [para(882(a,1),311(a,1,1))]. 910 (x * y) \ (x * ((((x * y) * x) / (x * y)) * y)) = x. [hyper(22,a,652,a,b,908,a(flip)),flip(a)]. 911 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [hyper(81,a,274,a(flip),b,399,a)]. 912 K((x * y) \ 1,x * y) \ ((((x * y) \ 1) * x) * y) != z | a((x * y) \ 1,x,y) = z. [para(189(a,2),636(a,1,1))]. 913 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [hyper(624,a,706,a),flip(a)]. 914 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(255,a,385,a,b,789,a(flip)),flip(a)]. 915 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(18(a,1),791(a,1,1,2,1,2))]. 916 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(791(a,1),226(a,1,1)),flip(b)]. 917 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(73(a,1),792(a,1,2,2,1,2))]. 918 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(123(a,1),800(a,1,1,1))]. 919 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(476(a,1),800(a,1,1)),flip(a)]. 920 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(172,a,843,a,b,xx)]. 922 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(661,a,848,a),flip(a)]. 923 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(87,a,848,a)]. 924 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(17(a,1),848(a,2,2,1))]. 925 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(19(a,1),848(a,2,2,1))]. 926 T(1 / (x \ 1),y) * (x \ 1) = x \ T(x,y). [hyper(401,a,924,a)]. 927 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(255,a,398,a(flip),b,924,a(flip)),flip(a)]. 928 (x / y) \ T(x / y,y) = (y \ x) * ((x / y) \ 1). [para(129(a,1),927(a,1,1)),flip(a)]. 929 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(927(a,1),178(a,1,2,2))]. 930 (1 / x) \ T((1 / x) * y,z) != u * w | u \ (x * T(x \ y,z)) = w. [para(855(a,1),309(a,1,2))]. 931 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(19(a,1),857(a,1,2,1)),flip(a)]. 933 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(21(a,1),860(a,1,2,1))]. 934 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(628,a,861,a),flip(a)]. 935 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(624,a,861,a)]. 936 (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). [hyper(80,a,861,a(flip),b,396,a(flip))]. 937 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [para(16(a,1),861(a,2,1,1))]. 938 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(129(a,1),861(a,1,1)),flip(a)]. 939 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(624,a,937,a)]. 940 (1 / x) * T(x,y) = T(x,y) / x. [hyper(255,a,399,a(flip),b,937,a(flip)),flip(a)]. 941 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(81,a,937,a(flip),b,399,a(flip))]. 942 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(80,a,937,a(flip),b,399,a(flip))]. 943 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(937(a,1),624(a,1))]. 944 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(172,a,940,a,b,19,a),flip(a)]. 945 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(255,a,274,a(flip),b,940,a(flip))]. 946 T(x / y,y) / (x / y) = (1 / (x / y)) * (y \ x). [para(129(a,1),940(a,1,2)),flip(a)]. 948 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(940(a,1),618(a,1,2))]. 949 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(608,a,944,a)]. 950 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(128(a,1),945(a,1,1)),flip(a)]. 951 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(255,a,396,a(flip),b,862,a)]. 952 (x / y) * ((y \ 1) * y) = x * T(x \ (x / y),y). [para(878(a,1),19(a,1,2)),flip(a)]. 953 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(255,a,387,a,b,880,a),flip(a)]. 954 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(80,a,387,a,b,880,a),flip(a)]. 955 x * ((((x * y) * x) / (x * y)) * y) = (x * y) * x. [para(910(a,1),19(a,1,2)),flip(a)]. 956 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(189(a,2),913(a,1,1))]. 957 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [para(922(a,1),19(a,1,2)),flip(a)]. 958 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(923(a,1),220(a,1,2)),flip(b)]. 959 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(81,a,925,a(flip),b,396,a)]. 960 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [para(129(a,1),928(a,1,2)),flip(a)]. 961 ((x * y) / x) \ (x \ (x * y)) = y * (((x * y) / x) \ 1). [para(18(a,1),960(a,1,1)),flip(a)]. 962 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(960(a,1),24(a,1))]. 963 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(931(a,1),388(a,1,2))]. 964 T(x * y,1 / y) / y != z | ((1 / y) \ x) * (1 / y) = z. [para(935(a,1),225(a,1))]. 965 (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). [para(21(a,1),936(a,1,2,1,1))]. 966 (1 / x) * T((1 / x) \ y,z) != u | T(y * x,z) / x = u. [para(936(a,1),220(a,1,2)),flip(b)]. 967 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(21(a,1),938(a,1,1,1)),flip(a)]. 968 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [para(129(a,1),946(a,1,1)),flip(a)]. 969 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(172,a,968,a,b,19,a),flip(a)]. 970 ((x / y) \ x) / (x / (x / y)) = (1 / (x / (x / y))) * y. [para(73(a,1),968(a,1,2)),flip(a)]. 972 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(255,a,848,a(flip),b,951,a)]. 973 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(951(a,1),21(a,1,1))]. 974 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(189(a,2),952(a,1,2))]. 975 T(x,x * K(y,x)) = x. [para(953(a,2),904(a,1,2,2))]. 976 T(x * K(y,x),x) = x * K(y,x). [hyper(40,a,975,a)]. 977 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z. [para(954(a,2),220(a,1,2)),flip(b)]. 978 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(162(a,2),954(a,1,1,1))]. 979 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). [para(954(a,1),793(a,1,1))]. 980 (((x * y) * x) / (x * y)) * y = T(x * y,x). [hyper(173,a,955,a),flip(a)]. 981 ((x * y) * x) / (x * y) = T(x * y,x) / y. [hyper(96,a,980,a),flip(a)]. 982 T(T(x * y,x) / y,x * y) = x. [para(981(a,1),166(a,1,1))]. 983 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(981(a,1),818(a,1,1))]. 984 T(T(x,x / y) / y,(x / y) * y) = x / y. [para(21(a,1),982(a,1,1,1,1))]. 985 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(193(a,1),982(a,1,1,1,1))]. 986 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(255,a,129,a(flip),b,983,a(flip)),flip(a)]. 987 x * R(y,x,T(y,x)) = T(y * x,y). [para(983(a,1),171(a,1,2))]. 988 T(T(x,x / y) / y,x) = x / y. [para(21(a,1),984(a,1,2))]. 989 T(x,x / y) / y = (x * (x / y)) / x. [para(988(a,1),167(a,1,1,2)),flip(a)]. 990 T(x \ T(y,y / x),y) = T(y / x,x). [para(988(a,1),185(a,1,1)),flip(a)]. 991 ((x * (x / y)) / x) * y = T(x,x / y). [para(989(a,1),21(a,1,1))]. 992 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(989(a,1),226(a,1,1)),flip(b)]. 993 T(x \ T(y,y / x),y) = x \ y. [hyper(255,a,129,a(flip),b,990,a)]. 994 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(70(a,1),993(a,1,1,2,2))]. 995 x \ T(y,y / x) = (y * (x \ y)) / y. [para(993(a,1),167(a,1,1,2)),flip(a)]. 996 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(255,a,789,a(flip),b,991,a(flip)),flip(a)]. 997 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(995(a,1),220(a,1,2)),flip(b)]. 998 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(73(a,1),996(a,1,2,1,2))]. 999 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(782(a,2),996(a,1,2))]. 1000 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(167(a,1),998(a,1,2)),flip(a)]. 1002 K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(967(a,1),106(a,1,1)),flip(a)]. 1003 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(940(a,1),295(a,1,2,2))]. 1004 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(114(a,1),428(a,1,2,1))]. 1005 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(241(a,1),428(a,1,2,1))]. 1006 x * (T(y,x) * L(z,x,y)) = y * (x * L(z,T(y,x),x)). [hyper(255,a,430,a(flip),b,429,a(flip)),flip(a)]. 1007 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(114(a,1),429(a,1,2,1))]. 1008 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(241(a,1),429(a,1,2,1))]. 1009 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(255,a,97,a(flip),b,433,a)]. 1010 K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(505(a,1),433(a,1,2))]. 1011 L(x / (y * x),z,u) * (y * x) = (L(1 / y,z,u) * y) * x. [para(163(a,1),460(a,1,1,1))]. 1012 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(123(a,1),460(a,1,1,1))]. 1013 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(253(a,1),460(a,1,1,1)),flip(a)]. 1014 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(123(a,1),461(a,1,1,1))]. 1015 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(927(a,1),487(a,1,1,1))]. 1016 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(491(a,2),24(a,1))]. 1017 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(437(a,1),491(a,1,2,1)),flip(a)]. 1018 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(437(a,1),492(a,1,2,1)),flip(a)]. 1019 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(494(a,1),492(a,1,2,1))]. 1020 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(339(a,1),495(a,1,2,1))]. 1021 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(436(a,1),495(a,1,2,1))]. 1022 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(662(a,1),495(a,1,2,1))]. 1023 L(x \ 1,y,z) / (x \ 1) = L(1 / x,y,z) * x. [para(348(a,1),498(a,1,1,1))]. 1024 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(472(a,1),498(a,1,1,1))]. 1025 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [hyper(255,a,762,a(flip),b,1023,a)]. 1026 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(1025(a,1),21(a,1,1))]. 1027 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [para(1025(a,1),73(a,1,1))]. 1028 ((x * y) \ x) / (y \ 1) = y * ((x * y) \ x). [para(162(a,1),1025(a,1,1))]. 1029 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [para(1028(a,1),21(a,1,1))]. 1030 ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). [para(1029(a,1),104(a,1,1))]. 1032 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1026(a,1),31(a,2,1)),flip(a)]. 1033 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(19(a,1),1027(a,1,1,2,1))]. 1034 R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. [para(501(a,2),25(a,1))]. 1035 R(1 / (1 / x),y,z) * (1 / x) = R(x / 1,y,z) / x. [para(351(a,1),501(a,1,1,1)),flip(a)]. 1036 L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). [para(352(a,2),502(a,1,1,1))]. 1037 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(725(a,1),502(a,1,1,1))]. 1038 T(L(x,y,z),1 / x) / x = L(x,y,z) * (1 / x). [para(45(a,1),1037(a,1,1))]. 1039 (1 / x) \ (L(x,y,z) / x) = L(x,y,z). [hyper(23,a,967,a,b,1038,a(flip)),flip(a)]. 1040 (1 / x) * L(x,y,z) = L(x,y,z) / x. [para(1039(a,1),19(a,1,2))]. 1041 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [para(1039(a,1),70(a,1,2))]. 1042 L(x,y,z) \ (L(x,y,z) / x) = T(1 / x,L(x,y,z)). [hyper(172,a,1040,a,b,19,a),flip(a)]. 1044 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1040(a,1),114(a,2,1))]. 1045 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(1040(a,1),618(a,1,2))]. 1047 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(506(a,1),433(a,1,2))]. 1048 (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. [para(507(a,1),224(a,1,2))]. 1049 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(507(a,1),433(a,1,2))]. 1050 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(366,a,551,a)]. 1051 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(677(a,1),418(a,1,2)),flip(a)]. 1052 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(682(a,1),300(a,1,1)),flip(a)]. 1053 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(768(a,1),112(a,1,2))]. 1054 (x * y) * ((z * ((x * y) \ x)) / z) != u | x * (y * ((z * (y \ 1)) / z)) = u. [para(768(a,1),224(a,1,2))]. 1055 (x * y) * L((x * (y \ 1)) / x,y,x) = T(x,x / (x * y)). [para(768(a,2),996(a,1,2))]. 1056 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(350(a,1),777(a,1,1,2))]. 1057 L(T(x / y,z),u,w) * y != v5 | y * L(T(y \ x,z),u,w) = v5. [para(400(a,1),801(a,1,1,1))]. 1059 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(808(a,1),122(a,1,1))]. 1060 R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). [para(16(a,1),919(a,2,1,2))]. 1061 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(18(a,1),919(a,1,1,1)),flip(a)]. 1062 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(978(a,2),377(a,1,2)),flip(a)]. 1063 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(224,a,999,a)]. 1064 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(1009(a,1),24(a,1)),flip(a)]. 1068 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(545(a,1),569(a,1,2))]. 1069 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(22,a,184,a,b,581,a),flip(a)]. 1070 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(80,a,1069,a(flip),b,312,a),flip(a)]. 1072 (x * y) * T((x * y) \ y,z) = (T(1 / x,z) * x) * y. [hyper(624,a,659,a)]. 1073 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(361,a,702,a),flip(a)]. 1074 T(x,y) * (x * z) = x * (T(x,y) * z). [para(182(a,1),1073(a,1,2)),flip(a)]. 1075 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(533,a,1074,a)]. 1076 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(530,a,1074,a),flip(a)]. 1077 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(514,a,1074,a)]. 1078 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(310,a,1074,a),flip(a)]. 1079 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(255,a,97,a(flip),b,1074,a)]. 1080 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(172,a,1074,a,b,242,a)]. 1081 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(80,a,97,a(flip),b,1074,a)]. 1082 x * (T(x,y) \ (x \ z)) = T(x,y) \ z. [hyper(80,a,66,a(flip),b,1074,a),flip(a)]. 1083 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(80,a,64,a(flip),b,1074,a),flip(a)]. 1084 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(21(a,1),1074(a,1,2)),flip(a)]. 1086 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(127(a,1),1074(a,1,2)),flip(a)]. 1087 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(129(a,1),1074(a,1,1)),flip(a)]. 1089 (T(x,y) \ 1) \ (T(x,y) \ x) = T(x,T(x,y) \ 1). [hyper(172,a,1083,a,b,19,a),flip(a)]. 1090 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(96,a,1083,a)]. 1091 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(87,a,1083,a)]. 1092 T(x / y,y) \ (x / y) = (x / y) * ((y \ x) \ 1). [para(129(a,1),1083(a,1,2,1)),flip(a)]. 1093 x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z. [para(1083(a,1),222(a,1,2)),flip(b)]. 1095 L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). [para(1083(a,1),192(a,1,2)),flip(a)]. 1096 T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). [para(1083(a,1),858(a,1,1,2))]. 1097 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(1090(a,1),959(a,2,1))]. 1098 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(87,a,1076,a)]. 1099 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(1077(a,1),89(a,1,1)),flip(a),flip(b)]. 1100 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(355,a,1079,a),flip(a)]. 1101 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(22,a,418,a,b,1079,a)]. 1102 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(22,a,264,a,b,1079,a)]. 1103 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(1079(a,1),222(a,1,2)),flip(b)]. 1104 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(129(a,1),1100(a,1,2,1))]. 1105 T(x,x \ y) \ (x * z) = x * (((x \ y) \ y) \ z). [para(128(a,1),1081(a,2,2,1))]. 1106 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(1098(a,2),220(a,1,2)),flip(b)]. 1107 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(1098(a,1),297(a,1,2))]. 1108 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(172,a,724,a,b,1086,a)]. 1109 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(22,a,418,a,b,1086,a)]. 1111 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(1097(a,1),21(a,1,1))]. 1112 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(129(a,1),1104(a,2,2))]. 1113 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(18(a,1),1112(a,1,2,1))]. 1114 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(129(a,1),1111(a,1,1)),flip(a)]. 1115 T(x,y) = ((x * y) / x) * (y \ x). [para(18(a,1),1113(a,2,2)),flip(a)]. 1116 T(x,y) / (y \ x) = (x * y) / x. [hyper(81,a,1115,a,b,xx)]. 1117 ((x * y) / x) \ T(x,y) = y \ x. [hyper(80,a,1115,a,b,xx)]. 1118 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(21(a,1),1115(a,2,1,1)),flip(a)]. 1120 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(354(a,1),1115(a,2,2)),flip(a)]. 1121 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(379(a,1),1115(a,2,2)),flip(a)]. 1122 T(x * y,y) / T(x,y) = ((x * y) * y) / (x * y). [para(37(a,2),1116(a,1,2))]. 1125 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(81,a,166,a(flip),b,1118,a),flip(a)]. 1127 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(18(a,1),1106(a,1,2,2))]. 1128 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(1100(a,1),1106(a,1))]. 1129 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(1100(a,1),1127(a,1))]. 1130 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(396(a,1),1084(a,1,2))]. 1131 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [para(129(a,1),1092(a,1,1)),flip(a)]. 1132 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(255,a,950,a(flip),b,1131,a(flip)),flip(a)]. 1133 (x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1). [para(18(a,1),1131(a,1,2,1)),flip(a)]. 1134 ((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1). [para(73(a,1),1131(a,1,2,1)),flip(a)]. 1135 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(944(a,1),1102(a,1,2))]. 1137 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(1130(a,2),24(a,2))]. 1138 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(624,a,705,a)]. 1139 (1 / x) \ (((1 / x) \ 1) \ T((1 / x) \ 1,y)) = x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1). [hyper(80,a,815,a(flip),b,855,a)]. 1140 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(87,a,851,a)]. 1141 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(624,a,852,a),flip(a)]. 1142 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(408,a,866,a)]. 1143 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(81,a,1142,a,b,396,a)]. 1144 (((x / y) \ 1) * (x / y)) * y = x * T(x \ y,x / y). [hyper(624,a,870,a),flip(a)]. 1145 (x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x). [para(396(a,1),909(a,2,1))]. 1146 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [para(18(a,1),961(a,1,2)),flip(a)]. 1147 x \ (((y * x) / y) \ x) = ((y * x) / y) \ 1. [hyper(87,a,1146,a)]. 1148 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(407(a,1),1146(a,1,2,1)),flip(a)]. 1149 (1 / (x / (x / y))) * y = y / (x / (x / y)). [para(73(a,1),970(a,1,1)),flip(a)]. 1150 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(17(a,1),1017(a,2,2,1))]. 1151 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(241(a,1),1017(a,1,2)),flip(a)]. 1152 T(x,y) \ L(T(x,y) * (T(x,y) \ x),z,u) = (T(x,y) \ 1) * L(T(x,T(x,y) \ 1),z,u). [para(1089(a,1),1017(a,1,2,1)),flip(a)]. 1153 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(255,a,572,a(flip),b,1150,a(flip)),flip(a)]. 1154 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(80,a,1150,a(flip),b,572,a(flip))]. 1155 L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [para(1153(a,1),593(a,1,1,2)),flip(a)]. 1156 x \ T(x * (x \ L(x,y,z)),u) = T(L(x,y,z),u) * (x \ 1). [para(1153(a,1),922(a,1,2,1,2))]. 1157 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(342(a,1),1154(a,1,1))]. 1158 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(17(a,1),1018(a,2,2,1))]. 1159 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(255,a,581,a(flip),b,1158,a(flip)),flip(a)]. 1160 (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). [hyper(81,a,1158,a(flip),b,581,a(flip))]. 1161 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(80,a,1158,a(flip),b,581,a(flip))]. 1162 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(81,a,1159,a(flip),b,184,a)]. 1163 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(1159(a,1),104(a,1,1))]. 1164 R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [para(1159(a,1),593(a,1,1,2)),flip(a)]. 1165 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1159(a,1),627(a,2,1))]. 1167 x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). [para(19(a,1),1021(a,1,2,1)),flip(a)]. 1168 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(255,a,183,a(flip),b,1022,a)]. 1169 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(342(a,1),1168(a,1,2)),flip(a)]. 1170 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(255,a,570,a(flip),b,1024,a)]. 1171 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [para(68(a,1),1035(a,2,1,1))]. 1172 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(788,a,1171,a)]. 1173 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(255,a,582,a(flip),b,1171,a(flip)),flip(a)]. 1174 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [hyper(302,a,1173,a),flip(a)]. 1175 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(172,a,1173,a,b,19,a),flip(a)]. 1176 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1173(a,1),173(a,2)),flip(a)]. 1177 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1173(a,1),114(a,2,1))]. 1178 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1175(a,1),642(a,1,1,2))]. 1179 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(17(a,1),1050(a,2,1))]. 1180 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(87,a,1179,a)]. 1181 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(80,a,351,a(flip),b,1179,a),flip(a)]. 1182 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(22,a,644,a,b,1179,a)]. 1184 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(593(a,2),1179(a,1,2))]. 1185 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(255,a,163,a(flip),b,1184,a)]. 1186 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(172,a,1185,a,b,19,a),flip(a)]. 1188 x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. [para(1180(a,1),646(a,1))]. 1189 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(255,a,789,a(flip),b,1056,a)]. 1190 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(396(a,1),1072(a,2,1))]. 1191 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(129(a,1),1087(a,1,2,1))]. 1192 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(166(a,1),1087(a,1,2,1)),flip(a)]. 1193 (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). [hyper(533,a,1191,a)]. 1194 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [para(18(a,1),1133(a,1,1)),flip(a)]. 1195 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [para(73(a,1),1134(a,1,1)),flip(a)]. 1196 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(255,a,968,a(flip),b,1195,a(flip)),flip(a)]. 1197 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [hyper(255,a,656,a(flip),b,1138,a(flip))]. 1198 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(70(a,1),1197(a,1,1,1,2)),flip(a)]. 1199 ((x \ R(1 / y,y,x)) * x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(163(a,2),1197(a,1,1,1,2))]. 1200 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(669,a,1140,a)]. 1201 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(80,a,388,a(flip),b,1140,a(flip))]. 1203 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(255,a,939,a(flip),b,1200,a)]. 1204 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(255,a,924,a(flip),b,1200,a)]. 1205 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(81,a,1200,a,b,396,a)]. 1206 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(944(a,1),1200(a,1,1))]. 1207 T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x). [para(1200(a,2),1086(a,1,2)),flip(a)]. 1209 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1116(a,1),1201(a,1,2,1,2))]. 1210 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(1203(a,2),21(a,1,1)),flip(a)]. 1211 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(587(a,1),1203(a,2,1))]. 1212 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(969(a,1),1203(a,1,1))]. 1213 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(129(a,1),1204(a,2,2))]. 1214 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(166(a,1),1204(a,2,2))]. 1215 K(R(x \ 1,y,z) \ (x * R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(1174(a,1),1204(a,1,1,2))]. 1217 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(1161(a,1),1213(a,2,2))]. 1218 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(396(a,1),1141(a,1,1))]. 1219 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(926(a,1),1141(a,1,1))]. 1220 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(189(a,2),1144(a,1,1))]. 1221 (x \ (y \ x)) * x = (y * T(y \ 1,x)) * (y \ x). [para(16(a,1),1145(a,1,1,2))]. 1222 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [hyper(172,a,1221,a(flip),b,263,a)]. 1224 T(x * T(x \ 1,L(x,y,z)),x \ L(x,y,z)) = K(x \ 1,L(x,y,z)). [para(1154(a,1),1222(a,2,1))]. 1225 L(x \ ((1 / x) \ y),z,u) = x \ ((1 / x) \ L(y,z,u)). [hyper(87,a,1167,a),flip(a)]. 1226 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(73(a,1),1170(a,1,1,1,2))]. 1227 T(x,x * T(x \ 1,y)) = x. [hyper(172,a,656,a(flip),b,1190,a(flip))]. 1228 T(x,(x \ 1) * x) = x. [para(127(a,1),1227(a,1,2))]. 1229 T(x,K(x \ 1,x)) = x. [para(289(a,1),1227(a,1,2))]. 1230 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1227(a,1),721(a,1,1))]. 1231 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(398(a,1),1227(a,1,2))]. 1232 T(x \ 1,x \ T(x,y)) = x \ 1. [para(924(a,1),1227(a,1,2))]. 1233 T(1 / x,T(x,y) / x) = 1 / x. [para(939(a,1),1227(a,1,2))]. 1234 R(x,x \ 1,x) = T(x,x \ 1). [para(1228(a,1),718(a,1,1))]. 1235 K(x \ 1,x) * x = x * K(x \ 1,x). [para(1229(a,1),127(a,1,2))]. 1236 R(x,x \ 1,x) = (x \ 1) \ 1. [hyper(255,a,128,a(flip),b,1234,a)]. 1237 T(x,x \ 1) \ x = (x \ 1) * x. [para(1234(a,1),379(a,1,1))]. 1238 ((x \ 1) \ 1) \ x = (x \ 1) * x. [para(1236(a,1),379(a,1,1))]. 1239 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(40,a,1232,a)]. 1240 (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). [para(1232(a,1),127(a,1,2))]. 1241 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1233(a,1),404(a,1,1,2)),flip(a)]. 1242 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(172,a,1237,a(flip),b,1083,a),flip(a)]. 1244 ((x \ 1) \ 1) \ x = K(x \ 1,x). [hyper(255,a,189,a,b,1238,a)]. 1245 ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. [para(1238(a,2),315(a,1))]. 1246 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [hyper(360,a,1242,a)]. 1247 1 / T(x \ 1,x) = T(x,x \ 1). [para(1242(a,1),70(a,1,2))]. 1248 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(128(a,1),1242(a,1,1)),flip(a)]. 1249 T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. [para(564(a,1),1242(a,1,1)),flip(a)]. 1250 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1244(a,1),19(a,1,2))]. 1251 T(x \ 1,(x \ 1) \ 1) = T(x \ 1,x). [hyper(255,a,128,a,b,1248,a),flip(a)]. 1252 T((x \ 1) \ 1,x \ 1) = T(x \ 1,x) \ 1. [para(1248(a,2),1248(a,2,1))]. 1253 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1231(a,1),718(a,1,1))]. 1254 (x * K(x \ 1,x)) / (x * x) = R(x \ 1,x,x). [para(1235(a,1),293(a,1,1))]. 1255 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1239(a,1),667(a,1,1)),flip(a)]. 1256 T(x,1 / x) = (x \ 1) \ 1. [para(73(a,1),1249(a,1,1))]. 1257 T(x,1 / x) = T(x,x \ 1). [hyper(255,a,128,a,b,1256,a)]. 1258 R(x,1 / x,x) = (x \ 1) \ 1. [hyper(255,a,725,a,b,1256,a(flip)),flip(a)]. 1259 ((1 / x) * ((x \ 1) \ 1)) / (1 / x) = x. [para(1256(a,1),167(a,1,1,2))]. 1260 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1256(a,1),726(a,1,1))]. 1261 a(x,1 / x,x) = x \ ((x \ 1) \ 1). [para(1256(a,1),728(a,1,2)),flip(a)]. 1262 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1256(a,1),1037(a,1,1,1))]. 1263 L(T(x,x \ 1),1 / x,x) = T(x,x * (1 / x)). [para(1257(a,1),542(a,1,1))]. 1264 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1257(a,1),404(a,1,1,2))]. 1265 T(x,x \ 1) / x = K(x,1 / x). [para(1257(a,1),726(a,1,1))]. 1266 x \ T(x,x \ 1) = a(x,1 / x,x). [para(1257(a,1),728(a,1,2))]. 1267 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1257(a,1),727(a,2,1))]. 1268 K(x,1 / x) * x = (x \ 1) \ 1. [hyper(255,a,503,a,b,1258,a(flip)),flip(a)]. 1269 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(255,a,1132,a(flip),b,1260,a(flip)),flip(a)]. 1270 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(73(a,1),1260(a,1,1,1)),flip(a)]. 1271 (x \ 1) * K(x,1 / x) = 1 / x. [para(1269(a,1),19(a,1,2))]. 1272 (1 / x) / K(x,1 / x) = x \ 1. [para(1269(a,1),70(a,1,2))]. 1273 R(1 / x,x,1 / x) = x \ 1. [hyper(612,a,1272,a)]. 1274 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1273(a,1),353(a,1,1)),flip(a)]. 1275 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1274(a,1),149(a,1,1))]. 1276 L(T(x,x \ 1),1 / x,x) = T(x,K(x,1 / x)). [para(191(a,2),1263(a,2,2))]. 1277 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1267(a,1),648(a,1,2))]. 1278 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(73(a,1),1262(a,1,1,1,1)),flip(a)]. 1279 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1262(a,1),129(a,1,1))]. 1280 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(620,a,1264,a),flip(a)]. 1281 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(167(a,1),1280(a,1,1)),flip(a)]. 1282 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(255,a,666,a,b,1255,a),flip(a)]. 1283 T(K(x,y),x \ 1) = K(x,y). [para(31(a,2),1282(a,2,1)),flip(a)]. 1284 T(x \ 1,K(x,y)) = x \ 1. [hyper(40,a,1283,a)]. 1285 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [para(1283(a,1),127(a,1,2)),flip(a)]. 1286 (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. [para(1283(a,1),225(a,1,2))]. 1287 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(1284(a,1),344(a,2,1))]. 1288 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1284(a,1),398(a,1,2)),flip(a)]. 1289 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. [para(1214(a,2),128(a,1,2))]. 1290 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(407(a,1),1214(a,1,1,2,2,1))]. 1291 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1218(a,1),304(a,1,1)),flip(b)]. 1292 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(255,a,394,a(flip),b,1220,a)]. 1293 L((x \ 1) \ ((1 / (x \ 1)) \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(70(a,1),1225(a,2,2,1))]. 1294 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(167(a,1),1281(a,1,1)),flip(a)]. 1295 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(255,a,19,a(flip),b,1288,a)]. 1297 T(x,K(x \ 1,y)) = x. [hyper(94,a,1295,a)]. 1298 T(1 / x,K(x,y)) = 1 / x. [para(73(a,1),1297(a,1,2,1))]. 1299 K(x \ 1,y) * x = x * K(x \ 1,y). [para(1297(a,1),127(a,1,2))]. 1300 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1298(a,1),682(a,1,1)),flip(a)]. 1301 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(255,a,428,a(flip),b,583,a(flip)),flip(a)]. 1302 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(184(a,1),1301(a,1,2)),flip(a)]. 1303 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(533,a,1302,a)]. 1304 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(514,a,1302,a)]. 1305 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(310,a,1302,a),flip(a)]. 1306 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(87,a,1302,a)]. 1307 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(80,a,97,a(flip),b,1302,a)]. 1308 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(80,a,64,a(flip),b,1302,a),flip(a)]. 1309 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [hyper(172,a,1302,a(flip),b,242,a),flip(a)]. 1310 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(127(a,1),1302(a,1,2)),flip(a)]. 1312 (R(x,y,z) \ 1) * T(x,R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(229,a,1308,a)]. 1313 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1308(a,1),192(a,1,2)),flip(a)]. 1314 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1308(a,1),922(a,1,2,1,2))]. 1315 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(122(a,1),1303(a,1,2)),flip(a)]. 1316 x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. [para(1304(a,1),219(a,1,1)),flip(b)]. 1317 R(x,y,x) * (x \ (y * x)) = T(x * y,x). [hyper(172,a,122,a(flip),b,1305,a),flip(a)]. 1318 R(x,y,x) * T(y,x) = T(x * y,x). [para(37(a,2),1317(a,1,2))]. 1319 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(87,a,1318,a)]. 1320 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(96,a,1315,a),flip(a)]. 1322 (L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * y. [para(474(a,1),654(a,1,1,1)),flip(a)]. 1323 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(350(a,1),655(a,1,1,1))]. 1324 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(439(a,1),673(a,1,2,1)),flip(a)]. 1325 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(678(a,1),418(a,1,2)),flip(a)]. 1326 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(683(a,1),300(a,1,1)),flip(a)]. 1327 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(255,a,460,a(flip),b,719,a(flip))]. 1328 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(255,a,461,a(flip),b,720,a(flip))]. 1330 (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). [para(112(a,1),774(a,1,1,1,1))]. 1331 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(114(a,1),802(a,1,2,1,2))]. 1332 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(241(a,1),802(a,1,2,1,2))]. 1333 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(803(a,1),419(a,1,2)),flip(a)]. 1334 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(80,a,804,a(flip),b,192,a)]. 1335 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(80,a,805,a(flip),b,190,a),flip(a)]. 1336 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(81,a,812,a(flip),b,194,a),flip(a)]. 1337 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(838(a,1),430(a,1,2))]. 1338 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(230,a,844,a)]. 1339 (x * T(y,z)) * y = (x * y) * T(y,z). [para(397(a,1),1338(a,1,1))]. 1340 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(535,a,1339,a)]. 1341 (1 / T(x,y)) * x = x / T(x,y). [hyper(371,a,1339,a),flip(a)]. 1342 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(308,a,1339,a),flip(a)]. 1343 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(255,a,98,a(flip),b,1339,a)]. 1344 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(87,a,1339,a)]. 1345 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(81,a,98,a(flip),b,1339,a)]. 1346 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(81,a,78,a(flip),b,1339,a),flip(a)]. 1347 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [hyper(80,a,98,a(flip),b,1339,a)]. 1348 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(129(a,1),1339(a,1,1,2)),flip(a)]. 1349 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(87,a,1341,a)]. 1350 (1 / T(x,y)) * x != z | x / T(x,y) = z. [para(1349(a,1),220(a,1,2)),flip(b)]. 1351 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1349(a,1),965(a,2,1))]. 1352 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1349(a,1),967(a,1,1)),flip(a)]. 1353 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1340(a,2),173(a,2)),flip(a)]. 1354 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1000(a,2),1342(a,1,1))]. 1355 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1344(a,1),1061(a,1,1)),flip(a)]. 1356 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(547(a,1),1355(a,1,1,2))]. 1357 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [para(1351(a,1),70(a,1,2))]. 1358 T((T(x,y) / T(x,z)) * T(x,z),u) / T(x,z) = (1 / T(x,z)) * T(T(x,y),u). [para(1351(a,1),935(a,1,2,1)),flip(a)]. 1359 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1354(a,1),1086(a,1,2)),flip(a)]. 1360 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1294(a,1),1352(a,1,1))]. 1361 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(96,a,1359,a),flip(a)]. 1362 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1360(a,1),1346(a,1,1,1))]. 1363 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(255,a,1000,a(flip),b,1361,a(flip))]. 1364 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(759,a,1363,a)]. 1365 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(129(a,1),1348(a,1,2))]. 1366 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(166(a,1),1348(a,1,2)),flip(a)]. 1367 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(535,a,1365,a)]. 1368 ((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y). [hyper(534,a,1365,a),flip(a)]. 1369 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(81,a,98,a(flip),b,1365,a)]. 1370 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [para(846(a,1),573(a,1,2))]. 1371 T(x,y) / x != z | (1 / x) * T(x,y) = z. [para(937(a,1),875(a,1))]. 1372 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(255,a,670,a(flip),b,876,a)]. 1373 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(1372(a,1),73(a,1,1))]. 1375 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(255,a,404,a(flip),b,906,a)]. 1376 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(1075(a,1),907(a,1,1,1))]. 1378 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(224,a,1055,a)]. 1379 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(80,a,1055,a(flip),b,112,a(flip))]. 1381 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(81,a,1379,a(flip),b,927,a)]. 1382 (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). [para(1159(a,1),1381(a,1,1,2,1))]. 1384 T((1 * x) / y,K(y / x,z)) = x / y. [hyper(255,a,351,a(flip),b,1300,a)]. 1385 T(x / y,K(y / x,z)) = x / y. [para(16(a,1),1384(a,1,1,1))]. 1386 T(x \ y,K(x / y,z)) = T(y / x,x). [para(1385(a,1),185(a,1,1)),flip(a)]. 1387 T(x \ y,K(x / y,z)) = x \ y. [hyper(255,a,129,a(flip),b,1386,a)]. 1388 (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). [para(122(a,1),424(a,1,2))]. 1389 (x * y) \ ((z * y) * R(x / z,z,y)) = K(z * y,R(x / z,z,y)). [para(21(a,1),456(a,1,1,1))]. 1390 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(619(a,2),24(a,1))]. 1391 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(114(a,1),739(a,1,2,1))]. 1392 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(255,a,1194,a(flip),b,790,a)]. 1394 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(112(a,1),821(a,1,1))]. 1396 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(826(a,1),1153(a,1,1)),flip(a)]. 1397 (x * y) * R((x * y) \ y,z,u) = (R(1 / x,z,u) * x) * y. [hyper(788,a,827,a)]. 1398 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [hyper(255,a,1138,a(flip),b,831,a(flip)),flip(a)]. 1399 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(19(a,1),1398(a,1,1,1,2,1)),flip(a)]. 1400 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(848(a,1),1399(a,1,2)),flip(a)]. 1401 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(935(a,1),1399(a,1,2)),flip(a)]. 1402 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(956(a,2),1399(a,1,2)),flip(a)]. 1403 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(67(a,1),1402(a,1,1,1,2)),flip(a)]. 1405 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(189(a,2),1403(a,2,1))]. 1406 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(18(a,1),1405(a,1,2,2)),flip(a)]. 1407 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(37(a,2),1405(a,1,2,2))]. 1408 K(x \ 1,x) * y != x * (K(x \ 1,x) * z) | x * z = y. [para(1406(a,1),24(a,1)),flip(a)]. 1409 x * (K(x \ 1,x) * (x \ y)) != z | K(x \ 1,x) * y = z. [para(1406(a,1),310(a,1))]. 1410 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1406(a,1),179(a,1,2))]. 1411 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(255,a,1190,a(flip),b,832,a(flip))]. 1412 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(127(a,1),1411(a,1,2)),flip(a)]. 1413 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(229,a,1412,a)]. 1414 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(96,a,1412,a)]. 1415 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1161(a,1),1414(a,1,1,2,1))]. 1416 (T((x / y) / z,u) * z) * y = (z * y) * T((z * y) \ x,u). [hyper(255,a,396,a(flip),b,842,a)]. 1417 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(362,a,854,a),flip(a)]. 1418 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(183(a,1),1417(a,1,2)),flip(a)]. 1419 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(533,a,1418,a)]. 1420 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(530,a,1418,a),flip(a)]. 1421 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(310,a,1418,a),flip(a)]. 1422 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(87,a,1418,a)]. 1423 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(80,a,97,a(flip),b,1418,a)]. 1424 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(80,a,64,a(flip),b,1418,a),flip(a)]. 1425 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). [hyper(172,a,1418,a(flip),b,242,a),flip(a)]. 1426 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(80,a,1418,a(flip),b,104,a)]. 1427 x * (L(x,y,z) * T(u,x)) = L(x,y,z) * (u * x). [para(127(a,1),1418(a,1,2)),flip(a)]. 1429 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(87,a,1424,a)]. 1430 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1424(a,1),31(a,2,1)),flip(a)]. 1431 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1424(a,1),192(a,1,2)),flip(a)]. 1432 T((1 / x) * (L(x,y,z) \ x),x) = (1 / x) * ((L(x,y,z) \ 1) * x). [para(1424(a,1),858(a,1,1,2))]. 1433 T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(1424(a,2),1222(a,1,2))]. 1434 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(80,a,37,a,b,1420,a),flip(a)]. 1437 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1422(a,1),1375(a,1,1,1)),flip(a)]. 1438 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(189(a,2),1423(a,1,2))]. 1439 T(1 / (1 / x),x \ 1) = x. [hyper(255,a,1259,a(flip),b,911,a(flip))]. 1440 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1439(a,1),43(a,1,1)),flip(a)]. 1441 T(1 / (1 / (1 / x)),x) = 1 / x. [para(73(a,1),1439(a,1,2))]. 1442 (1 / (1 / x)) * (x \ 1) = (x \ 1) * x. [para(1439(a,1),127(a,1,2)),flip(a)]. 1443 T(x,x \ 1) / x = K(x,x \ 1). [para(1439(a,1),1212(a,1,1)),flip(a)]. 1444 (1 / (1 / (1 / x))) * x = x * (1 / x). [para(1441(a,1),127(a,1,2)),flip(a)]. 1445 K(x,1 / x) = K(x,x \ 1). [hyper(255,a,1265,a(flip),b,1443,a(flip)),flip(a)]. 1446 K(x,x \ 1) * x = T(x,x \ 1). [para(1443(a,1),21(a,1,1))]. 1447 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(128(a,1),1443(a,1,1))]. 1448 K(x,x \ 1) = x * (1 / x). [hyper(365,a,1445,a),flip(a)]. 1449 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(255,a,616,a,b,1445,a(flip)),flip(a)]. 1450 x \ K(x,x \ 1) = 1 / x. [hyper(80,a,1445,a(flip),b,191,a(flip))]. 1451 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(70(a,1),1445(a,1,2)),flip(a)]. 1452 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1445(a,1),391(a,1,1))]. 1453 K(x,x \ 1) != y | x * (1 / x) = y. [para(1445(a,1),365(a,1))]. 1454 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1445(a,1),796(a,1,2))]. 1455 K(x,x \ 1) * (x \ 1) = 1 / x. [para(1445(a,1),799(a,1,1))]. 1456 K(x,x \ 1) * x = (x \ 1) \ 1. [para(1445(a,1),1268(a,1,1))]. 1457 (x \ 1) * K(x,x \ 1) = 1 / x. [para(1445(a,1),1271(a,1,2))]. 1458 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(255,a,390,a,b,1448,a(flip)),flip(a)]. 1460 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1448(a,2),1103(a,1,2))]. 1461 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1448(a,2),832(a,1,1))]. 1462 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1448(a,2),1418(a,1,2))]. 1463 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1448(a,2),1423(a,1,2))]. 1464 x * (1 / x) != y | K(x,x \ 1) = y. [para(1450(a,1),220(a,1,2)),flip(b)]. 1465 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). [para(1446(a,1),112(a,1,1))]. 1466 T(x,x \ 1) \ (K(x,x \ 1) * y) = L(x \ y,x,K(x,x \ 1)). [para(1446(a,1),114(a,2,1)),flip(a)]. 1467 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1446(a,1),422(a,1,1))]. 1468 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) != z | L(y,K(y,y \ 1),x) = z. [para(1446(a,1),431(a,1,2,2))]. 1469 x * L(y,K(x,x \ 1),1 / (1 / x)) = (1 / (1 / x)) * (K(x,x \ 1) * y). [para(1454(a,1),112(a,1,1))]. 1470 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(1454(a,1),122(a,1,2))]. 1471 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1454(a,1),123(a,2,2))]. 1472 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1455(a,1),483(a,1,1))]. 1474 ((x \ 1) \ 1) / L(y \ x,y,K(x,x \ 1)) = K(x,x \ 1) * y. [para(1456(a,1),417(a,1,1))]. 1475 K(x,1 / x) != y | K(x,x \ 1) = y. [para(191(a,2),1464(a,1))]. 1477 (x \ 1) / (1 / x) = (x \ 1) * x. [hyper(255,a,968,a(flip),b,1442,a(flip)),flip(a)]. 1478 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(255,a,189,a,b,1477,a)]. 1479 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(255,a,1270,a,b,1478,a(flip)),flip(a)]. 1480 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(255,a,1196,a(flip),b,1478,a(flip)),flip(a)]. 1481 K(x \ 1,x) * (1 / x) = x \ 1. [para(1478(a,1),21(a,1,1))]. 1482 K(x \ 1,x) \ (x \ 1) = 1 / x. [para(1478(a,1),73(a,1,1))]. 1483 x * K(x \ 1,x) = 1 / (1 / x). [para(1480(a,1),19(a,1,2))]. 1484 x * (T(x,y) \ K(x \ 1,x)) = T(x,y) \ (1 / (1 / x)). [para(1480(a,1),1082(a,1,2,2))]. 1486 T(1 / x,K(x \ 1,x)) = 1 / x. [hyper(695,a,1481,a)]. 1487 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1481(a,1),112(a,1,1))]. 1488 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(1481(a,1),114(a,2,1))]. 1489 L(x \ 1,x,x \ 1) = 1 / x. [hyper(609,a,1482,a)]. 1490 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1489(a,1),45(a,2,1))]. 1491 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1489(a,1),50(a,1,1)),flip(a)]. 1492 L(x,x \ 1,x) = 1 / (1 / x). [hyper(761,a,1483,a)]. 1494 (1 / (1 / x)) / (x * x) = R(x \ 1,x,x). [para(1483(a,1),1254(a,1,1))]. 1495 L(T(x,y),x \ 1,x) = T(1 / (1 / x),y). [para(1492(a,1),45(a,2,1))]. 1496 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1492(a,1),49(a,1,1)),flip(a)]. 1497 L(L(x,y,z),x \ 1,x) = L(1 / (1 / x),y,z). [para(1492(a,1),50(a,1,1)),flip(a)]. 1498 L((x * y) / x,y \ 1,y) = (x * (1 / (1 / y))) / x. [para(1492(a,1),767(a,2,1,2))]. 1499 L(1 / x,y,z) * K(x \ 1,x) = K(x \ 1,x) * L(1 / x,y,z). [para(1486(a,1),183(a,1,2,1)),flip(a)]. 1501 x / (1 / (1 / x)) = x * (1 / x). [hyper(255,a,1149,a(flip),b,1444,a(flip)),flip(a)]. 1502 x / (1 / (1 / x)) = K(x,x \ 1). [hyper(255,a,1448,a,b,1501,a)]. 1503 x / (1 / (1 / x)) = K(x,1 / x). [hyper(255,a,191,a,b,1501,a)]. 1504 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1502(a,1),21(a,1,1))]. 1505 K(x,x \ 1) \ x = 1 / (1 / x). [para(1502(a,1),73(a,1,1))]. 1506 K(x,1 / x) * (1 / (1 / x)) = x. [para(1503(a,1),21(a,1,1))]. 1507 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1504(a,1),112(a,1,1))]. 1508 L(x,1 / x,x) = 1 / (1 / x). [hyper(563,a,1506,a)]. 1509 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1508(a,1),45(a,2,1))]. 1510 T(L(x,1 / x,x),x \ 1) = x. [para(1508(a,2),1439(a,1,1))]. 1511 L(T(x,x \ 1),1 / x,x) = x. [hyper(255,a,45,a,b,1510,a(flip)),flip(a)]. 1512 T(x,K(x,1 / x)) = x. [hyper(255,a,1276,a(flip),b,1511,a(flip)),flip(a)]. 1513 T(K(x,1 / x),x) = K(x,1 / x). [hyper(40,a,1512,a)]. 1514 T(x,K(x,x \ 1)) = x. [para(1445(a,1),1512(a,1,2))]. 1515 L(x,y,z) * K(x,x \ 1) = K(x,x \ 1) * L(x,y,z). [para(1514(a,1),183(a,1,2,1)),flip(a)]. 1516 a(x,1 / x,x) = K(x,1 / x). [hyper(255,a,711,a(flip),b,1513,a(flip)),flip(a)]. 1517 x \ T(x,x \ 1) = K(x,1 / x). [hyper(255,a,1266,a,b,1516,a(flip)),flip(a)]. 1518 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(255,a,1261,a(flip),b,1516,a(flip)),flip(a)]. 1519 x \ T(x,x \ 1) = K(x,x \ 1). [hyper(255,a,1445,a(flip),b,1517,a)]. 1520 x \ ((x \ 1) \ 1) = K(x,x \ 1). [hyper(255,a,1445,a(flip),b,1518,a)]. 1521 K((x \ 1) \ 1,x \ 1) = K(x,1 / x). [hyper(255,a,693,a,b,1518,a(flip)),flip(a)]. 1522 x * K(x,x \ 1) = T(x,x \ 1). [para(1519(a,1),19(a,1,2))]. 1523 x * K(x,x \ 1) = (x \ 1) \ 1. [para(1519(a,1),275(a,2,2)),flip(a)]. 1524 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [hyper(255,a,693,a,b,1520,a(flip)),flip(a)]. 1525 T(x,x \ 1) * L(y,K(x,x \ 1),x) = x * (K(x,x \ 1) * y). [para(1522(a,1),112(a,1,1))]. 1526 L(K(x,x \ 1) \ y,K(x,x \ 1),x) = T(x,x \ 1) \ (x * y). [para(1522(a,1),114(a,2,1))]. 1528 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(1522(a,1),466(a,1,1,1))]. 1529 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1475,a,1479,a)]. 1530 K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,1 / (x \ 1)). [para(1248(a,2),1521(a,1,1))]. 1532 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(1524(a,1),1405(a,1,2,1))]. 1533 K(1 / x,x) = K(x \ 1,x). [para(73(a,1),1529(a,1,2))]. 1534 K(1 / (1 / x),1 / x) = K(x,x \ 1). [hyper(255,a,1449,a(flip),b,1533,a)]. 1535 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(255,a,1452,a,b,1533,a(flip)),flip(a)]. 1536 K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(T(x,x \ 1),T(x \ 1,x)). [para(1247(a,1),1533(a,1,1)),flip(a)]. 1537 x * K(1 / x,x) = 1 / (1 / x). [para(1533(a,2),1483(a,1,2))]. 1538 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1490(a,1),433(a,1,2))]. 1539 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = L(R(x \ 1,x,x),y,z) * (x * x). [para(1494(a,1),570(a,1,1,1)),flip(a)]. 1540 T(1 / (1 / x),y) / ((x \ 1) * T(x,y)) = x. [hyper(81,a,1495,a(flip),b,190,a)]. 1541 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(255,a,1003,a,b,1509,a(flip)),flip(a)]. 1542 K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1491(a,1),433(a,1,2))]. 1543 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(255,a,1462,a(flip),b,1515,a(flip))]. 1544 K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,x). [para(70(a,1),1530(a,2,2))]. 1545 K(T(x \ 1,x),T(x,x \ 1)) = K(x \ 1,x). [para(128(a,2),1544(a,1,2))]. 1546 K(T((x \ 1) \ 1,x \ 1),T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). [hyper(255,a,1524,a(flip),b,1545,a)]. 1547 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1541(a,1),19(a,1,2))]. 1549 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1445(a,1),1547(a,1,1))]. 1550 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(1505(a,2),1549(a,1,2,1))]. 1551 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(167(a,1),917(a,1,2,2))]. 1552 (x * y) * L((x * y) \ y,z,u) = (L(1 / x,z,u) * x) * y. [hyper(780,a,1011,a)]. 1553 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(87,a,1051,a)]. 1554 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(17(a,1),1051(a,2,2,1,2))]. 1555 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(87,a,1554,a),flip(a)]. 1556 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(289(a,1),1554(a,1,2)),flip(a)]. 1557 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1200(a,2),1554(a,1,2)),flip(a)]. 1558 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(966,a,1557,a)]. 1559 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(80,a,1557,a,b,xx),flip(a)]. 1560 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(255,a,925,a(flip),b,1557,a(flip))]. 1561 K(x \ (x / (y \ (z \ y))),x) = y \ (T(z,x) * (z \ y)). [hyper(80,a,398,a(flip),b,1557,a(flip)),flip(a)]. 1562 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(18(a,1),1557(a,1,2,1)),flip(a)]. 1563 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(31(a,2),1557(a,2,2,1,2,2))]. 1564 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(33(a,2),1557(a,2,2,1,2,2))]. 1565 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(20(a,1),1559(a,1,1,2))]. 1566 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(37(a,2),1559(a,1,1,2,2))]. 1567 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(73(a,1),1559(a,2,2,2,1))]. 1569 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1559(a,1),975(a,1,2,2))]. 1570 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(994(a,1),1569(a,1,2,2,2,2))]. 1571 T(x,x * (T(x,y) \ x)) = x. [para(19(a,1),1570(a,1,2,2,2))]. 1572 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1571(a,1),43(a,1,1)),flip(a)]. 1573 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(18(a,1),1556(a,1,2,1)),flip(a)]. 1574 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(21(a,1),1558(a,1,1,1)),flip(a)]. 1575 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(894(a,1),1567(a,2,2))]. 1576 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(81,a,396,a(flip),b,1052,a)]. 1577 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(16(a,1),1052(a,2,1,1,1))]. 1578 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(255,a,396,a(flip),b,1577,a)]. 1579 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(396(a,1),1578(a,1,1))]. 1580 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [hyper(96,a,1579,a),flip(a)]. 1581 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1200(a,2),1579(a,1,1))]. 1582 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(96,a,1581,a),flip(a)]. 1583 K(x \ (x / ((y * z) / y)),x) = (y * (z * T(z \ 1,x))) / y. [hyper(81,a,656,a(flip),b,1581,a),flip(a)]. 1584 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [para(20(a,1),1582(a,1,1,2))]. 1585 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(35(a,2),1582(a,1,1,2,2))]. 1586 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(994(a,1),1582(a,2,1,2))]. 1587 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(255,a,1572,a(flip),b,1080,a(flip))]. 1588 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1587(a,1),70(a,1,2))]. 1589 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1353,a,1588,a)]. 1590 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1588(a,2),618(a,1,2))]. 1591 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1589(a,1),396(a,1,1)),flip(a)]. 1592 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(129(a,1),1114(a,1,2)),flip(a)]. 1593 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(70(a,1),1592(a,1,2,1,1)),flip(a)]. 1594 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(255,a,809,a(flip),b,1120,a(flip)),flip(a)]. 1595 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(789(a,1),1594(a,1,1))]. 1596 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(1083(a,1),1595(a,1,1,2,1))]. 1597 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1379(a,2),1595(a,1,1)),flip(a)]. 1598 T(L(x,y,z),u) * (x \ 1) = x \ T(L(x,y,z),u). [para(19(a,1),1156(a,1,2,1)),flip(a)]. 1600 T(L(x,y,z),u) * (x \ 1) = x \ L(T(x,u),y,z). [para(45(a,2),1598(a,2,2))]. 1601 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [para(45(a,2),1600(a,1,1))]. 1602 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(18(a,1),1192(a,1,1)),flip(a)]. 1603 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(533,a,1602,a)]. 1604 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(80,a,97,a(flip),b,1602,a)]. 1605 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(674,a,1603,a),flip(a)]. 1606 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(880(a,1),1198(a,1,2)),flip(a)]. 1607 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(105(a,1),1606(a,2,2))]. 1608 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(18(a,1),1607(a,1,1,1))]. 1609 (x * y) * ((y * x) \ y) = y * K(x,y). [para(18(a,1),1608(a,2,2,1))]. 1610 x \ (y * K(x / y,y)) = (y * (x / y)) \ y. [hyper(262,a,1609,a)]. 1611 (x * y) * L(x \ 1,x,y) = y * K(x,y). [hyper(255,a,340,a,b,1609,a(flip)),flip(a)]. 1612 (x * K(y,x)) \ (y * x) != z | L(((x * y) \ x) \ 1,(x * y) \ x,y * x) = z. [para(1609(a,1),374(a,1,1))]. 1614 x * K(x \ (x / T(x,y)),x) != z | L(x,T(x,y) \ 1,T(x,y)) = z. [para(1207(a,1),537(a,1))]. 1615 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(780,a,1323,a),flip(a)]. 1616 x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). [hyper(997,a,1335,a),flip(a)]. 1617 T(x,x / (y \ 1)) != z | T(x,y * x) = z. [para(1616(a,1),891(a,1))]. 1618 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(992,a,1336,a),flip(a)]. 1619 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(16(a,1),1336(a,2,1,1,2))]. 1620 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(19(a,1),1618(a,1,1,1,2)),flip(a)]. 1621 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1618(a,1),1364(a,1,1))]. 1622 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(916,a,1619,a)]. 1623 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(73(a,1),1622(a,1,2,1,2))]. 1624 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(302,a,1623,a),flip(a)]. 1625 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(916,a,1362,a)]. 1626 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(18(a,1),1366(a,1,1,2)),flip(a)]. 1627 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(535,a,1626,a)]. 1628 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(371,a,1626,a),flip(a)]. 1629 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(998(a,1),1626(a,1,1)),flip(a)]. 1630 (x / ((y * x) / y)) / x = 1 / ((y * x) / y). [hyper(96,a,1628,a)]. 1631 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(308,a,1629,a),flip(a)]. 1632 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(1099,a,1631,a)]. 1634 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(96,a,1632,a)]. 1636 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(255,a,1620,a,b,1634,a(flip)),flip(a)]. 1637 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(18(a,1),1636(a,1,2,2,2)),flip(a)]. 1638 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(396(a,1),1370(a,2,1))]. 1639 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(578(a,1),1397(a,2,1))]. 1640 (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). [hyper(255,a,832,a(flip),b,1416,a)]. 1641 x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). [para(1538(a,1),565(a,1,2))]. 1642 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(1550(a,1),973(a,1,1))]. 1643 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(570(a,1),1552(a,2,1))]. 1644 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(19(a,1),1553(a,1,2,2,1,2)),flip(a)]. 1645 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(1190(a,1),1566(a,2,2))]. 1646 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(255,a,37,a,b,1645,a),flip(a)]. 1647 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(1645(a,2),19(a,1,2)),flip(a)]. 1649 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(255,a,1200,a(flip),b,1646,a),flip(a)]. 1650 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(80,a,1646,a,b,1200,a(flip))]. 1651 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(289(a,1),1646(a,1,1)),flip(a)]. 1652 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(924(a,1),1646(a,1,1))]. 1653 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1062(a,2),1646(a,1,1)),flip(a)]. 1654 K(x \ (x / T(y,z)),x) = T(K(x \ (x / y),x),z). [para(1200(a,2),1646(a,1,1)),flip(a)]. 1655 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1246(a,1),1652(a,2,1,2,2))]. 1656 K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). [para(70(a,1),1654(a,2,1,1,2))]. 1657 T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). [para(128(a,1),1656(a,1,1,2,2)),flip(a)]. 1658 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(225,a,1649,a),flip(a)]. 1659 T(x,y) \ T(x * T(x \ 1,z),y) != u | T(T(x,y) \ 1,z) = u. [para(1649(a,1),222(a,1,2)),flip(b)]. 1661 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1232(a,1),1650(a,1,2,1,2)),flip(a)]. 1662 T(x,y) \ T(x * T(x \ 1,x),y) = T(T(x,y) \ 1,T(x,x \ 1)). [para(1246(a,1),1650(a,1,2,1,2))]. 1663 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(255,a,396,a(flip),b,1576,a)]. 1664 K(x \ (x / ((y * x) / y)),x) = (y * K(x \ 1,x)) / y. [para(289(a,1),1583(a,2,1,2))]. 1665 ((x * y) / x) \ ((x * K(y \ 1,y)) / x) = T(((x * y) / x) \ 1,y). [hyper(80,a,1664,a(flip),b,1200,a(flip))]. 1666 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(570(a,1),1615(a,1,1))]. 1667 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(1083(a,1),1625(a,1,2,1))]. 1668 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1625(a,1),1378(a,1,2))]. 1669 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(255,a,832,a(flip),b,1638,a(flip)),flip(a)]. 1670 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(255,a,656,a(flip),b,1638,a(flip))]. 1671 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(172,a,1638,a(flip),b,832,a(flip)),flip(a)]. 1673 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(37(a,2),1671(a,1,2,1,2)),flip(a)]. 1674 T(x * T(x \ y,x),x) = (x \ T(y,x)) * x. [hyper(255,a,127,a(flip),b,1673,a)]. 1675 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(80,a,1673,a,b,xx)]. 1676 T((x \ y) * x,x) = (x \ T(y,x)) * x. [para(127(a,1),1674(a,1,1))]. 1677 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(81,a,1676,a,b,xx)]. 1678 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(80,a,1676,a,b,263,a)]. 1680 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1676(a,2),69(a,1,2,1))]. 1681 T(x * y,y) / y = y \ T(y * x,y). [para(18(a,1),1677(a,1,1,1,1))]. 1683 (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. [para(1677(a,1),226(a,1,1)),flip(b)]. 1684 x \ T(x * (y / x),x) = T(y,x) / x. [para(75(a,1),1677(a,1,1,1)),flip(a)]. 1687 x * (T(y * x,x) / x) = T(x * y,x). [para(18(a,1),1680(a,1,2,1,1,1))]. 1688 T(x * (y / x),x) = x * (T(y,x) / x). [para(75(a,1),1680(a,1,2,1,1)),flip(a)]. 1689 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(397(a,1),1681(a,1,1,1)),flip(a)]. 1690 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(571(a,1),1681(a,1,1,1)),flip(a)]. 1691 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(934(a,1),1687(a,1,2)),flip(a)]. 1692 (x \ 1) * (T(x \ R(x,y,z),x \ 1) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1159(a,1),1687(a,1,2,1,1))]. 1693 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(18(a,1),1675(a,1,2,1,2,1))]. 1695 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(18(a,1),1678(a,1,2,1,1))]. 1696 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1684(a,1),1693(a,2,1))]. 1697 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1696(a,1),19(a,1,2)),flip(a)]. 1698 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(151(a,1),1697(a,2,2,1,1))]. 1699 x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. [para(1697(a,2),222(a,1,2)),flip(b)]. 1700 T(x,x * R(x \ 1,y,z)) = x. [hyper(172,a,821,a(flip),b,1639,a(flip))]. 1701 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [hyper(172,a,1639,a(flip),b,821,a(flip))]. 1703 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(73(a,1),1700(a,1,2,2,1))]. 1704 T(x,(y / (x * y)) * x) = x. [para(593(a,2),1700(a,1,2))]. 1705 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(581(a,1),1700(a,1,2))]. 1706 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1158(a,1),1700(a,1,2))]. 1707 T(x / y,(y / x) * (x / y)) = x / y. [para(708(a,1),1700(a,1,2))]. 1708 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1704(a,1),1108(a,1,1,1)),flip(a)]. 1709 T(x \ R(x,y,z),x \ 1) = x \ R(x,y,z). [hyper(40,a,1706,a)]. 1710 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1706(a,1),43(a,1,1)),flip(a)]. 1711 T(x / (y * x),y * (x / (y * x))) = x / (y * x). [para(20(a,1),1707(a,1,2,1))]. 1712 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1703(a,1),548(a,1,1,2))]. 1713 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1705(a,1),718(a,1,1))]. 1714 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1701(a,1),1688(a,2,2,1))]. 1715 R(x / (y * x),y,x / (y * x)) = T(x / (y * x),y). [para(1711(a,1),718(a,1,1))]. 1716 T(x \ 1,R(x,y,z)) \ T((x \ 1) * R(x,y,z),x \ 1) = T(R(x,y,z),x \ 1). [para(1713(a,1),1319(a,1,1))]. 1717 R(x / (y * x),y,x / (y * x)) = R(y \ 1,y,x). [hyper(255,a,587,a(flip),b,1715,a)]. 1718 R(x \ 1,x,y) \ T((y / (x * y)) * x,y / (x * y)) = T(x,y / (x * y)). [para(1717(a,1),1319(a,1,1))]. 1719 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(396(a,1),1640(a,1,1))]. 1720 T(x,x * L(x \ 1,y,z)) = x. [hyper(172,a,824,a(flip),b,1643,a(flip))]. 1721 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(172,a,1643,a(flip),b,430,a(flip))]. 1723 K(x,x * L(x \ 1,y,z)) = 1. [hyper(41,a,1720,a)]. 1724 T(x,x * ((y * x) \ y)) = x. [para(162(a,1),1720(a,1,2,2))]. 1725 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(342(a,1),1720(a,1,2,2))]. 1726 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(572(a,1),1720(a,1,2))]. 1727 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1150(a,1),1720(a,1,2))]. 1728 (((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y). [para(1724(a,1),548(a,1,1,2))]. 1729 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(940(a,1),1724(a,1,2,2,1))]. 1730 T(x \ (x / y),(x \ (x / y)) * y) = x \ (x / y). [para(73(a,1),1725(a,1,2,2))]. 1731 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1725(a,1),547(a,1,2)),flip(a)]. 1732 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1726(a,1),718(a,1,1))]. 1733 T((x \ (x / y)) * y,x \ (x / y)) = (x \ (x / y)) * y. [hyper(40,a,1730,a)]. 1734 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(40,a,1729,a)]. 1735 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(23,a,764,a,b,1731,a)]. 1736 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(37(a,2),1644(a,1,1))]. 1737 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(255,a,1652,a,b,1655,a)]. 1738 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(1737(a,1),667(a,1,1)),flip(a)]. 1739 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(19(a,1),1661(a,2,2,1))]. 1741 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(151(a,1),1739(a,2,2))]. 1743 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(127(a,1),1663(a,1,1)),flip(a)]. 1744 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(831(a,1),1663(a,1,1)),flip(a)]. 1745 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [para(832(a,1),1663(a,1,1))]. 1746 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1489(a,1),1666(a,1,1,2)),flip(a)]. 1747 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1448(a,2),1746(a,2,1))]. 1748 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(255,a,1691,a,b,1669,a(flip)),flip(a)]. 1749 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(19(a,1),1669(a,1,2,2,1,2,2))]. 1750 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(114(a,2),1669(a,1,2,2,1,2)),flip(a)]. 1751 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(1699,a,1689,a),flip(a)]. 1752 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1719(a,1),223(a,1,2))]. 1753 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(848(a,1),1719(a,1,1)),flip(a)]. 1754 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(974(a,2),1719(a,1,1))]. 1755 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(60(a,1),1754(a,2,2,2,1,2))]. 1757 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(127(a,1),1755(a,2,2))]. 1758 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(289(a,1),1755(a,2,2))]. 1759 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(23,a,122,a(flip),b,1757,a)]. 1760 (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). [para(20(a,1),1758(a,1,1,1))]. 1761 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(763(a,1),1758(a,1,1,1))]. 1762 ((x / K(y \ 1,y)) * y) * K(y \ 1,y) = x * y. [hyper(308,a,1760,a),flip(a)]. 1763 ((x * (y \ 1)) / K(y \ 1,y)) * y = R(x,y \ 1,y). [hyper(23,a,465,a,b,1762,a)]. 1764 (x * (y \ 1)) / K(y \ 1,y) != z | R(x,y \ 1,y) / y = z. [para(1759(a,1),304(a,1,1)),flip(b)]. 1765 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(81,a,556,a(flip),b,771,a)]. 1766 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(21(a,1),1765(a,1,1,1)),flip(a)]. 1767 x * R(x \ K(x,x \ 1),y,z) = R(1 / x,y,z) / (x \ 1). [para(1455(a,1),1765(a,1,1,1)),flip(a)]. 1768 R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). [para(1450(a,1),1767(a,1,2,1)),flip(a)]. 1769 (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). [para(351(a,1),1768(a,1,1)),flip(a)]. 1770 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(806(a,1),418(a,1,2)),flip(a)]. 1771 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(443(a,1),835(a,1,2,1))]. 1772 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(342(a,1),1033(a,1,2))]. 1773 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [para(1772(a,1),70(a,1,2))]. 1774 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(342(a,1),1169(a,1,1)),flip(a)]. 1775 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(18(a,1),1774(a,1,2)),flip(a)]. 1776 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1774(a,1),19(a,1,2))]. 1777 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(172,a,1776,a,b,19,a)]. 1779 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(18(a,1),1775(a,1,1)),flip(a)]. 1780 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(1779(a,1),19(a,1,2))]. 1781 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(255,a,708,a(flip),b,1181,a(flip))]. 1782 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(70(a,1),1781(a,1,2)),flip(a)]. 1783 (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). [hyper(302,a,1782,a),flip(a)]. 1785 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [para(1783(a,1),19(a,1,2))]. 1786 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(172,a,1785,a,b,19,a)]. 1788 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(400(a,1),1230(a,1,2)),flip(a)]. 1789 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(400(a,1),1788(a,1,2)),flip(a)]. 1790 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1789(a,1),51(a,1,1)),flip(a)]. 1791 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1789(a,1),1318(a,1,1))]. 1792 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(255,a,1448,a,b,1275,a)]. 1793 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(20(a,1),1437(a,2,1))]. 1794 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1793(a,1),397(a,1,1)),flip(a)]. 1795 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(22,a,183,a,b,1794,a),flip(a)]. 1796 L(K(x,x \ 1) \ y,K(x,x \ 1),x) = x * (((x \ 1) \ 1) \ y). [hyper(255,a,1105,a(flip),b,1526,a)]. 1797 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(255,a,667,a(flip),b,1738,a)]. 1798 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(31(a,2),1797(a,2,1))]. 1799 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(31(a,2),1798(a,1,1))]. 1800 T(K(1 / x,y),1 / x) = T(K(1 / x,y),x \ 1). [para(564(a,1),1799(a,1,2)),flip(a)]. 1801 (1 / x) * T(K(1 / x,y),x \ 1) = K(1 / x,y) * (1 / x). [para(1800(a,1),127(a,1,2))]. 1802 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [para(351(a,1),1769(a,1,2)),flip(a)]. 1803 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [para(1802(a,1),21(a,1,1))]. 1804 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [para(70(a,1),1802(a,1,1)),flip(a)]. 1805 (x / (y \ x)) * ((y \ x) / x) = ((y \ x) / x) / (y \ 1). [para(70(a,1),1802(a,1,2,1)),flip(a)]. 1807 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(70(a,1),1804(a,1,2)),flip(a)]. 1808 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(1807(a,1),1766(a,1,2,1,2))]. 1809 ((x \ y) / y) / (x \ 1) = x * ((x \ y) / y). [hyper(302,a,1805,a),flip(a)]. 1811 (x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y. [para(1809(a,1),21(a,1,1))]. 1812 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [hyper(255,a,350,a,b,1811,a)]. 1813 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(255,a,1639,a(flip),b,1004,a(flip))]. 1814 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(255,a,1639,a(flip),b,1005,a(flip))]. 1815 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [hyper(255,a,1643,a(flip),b,1007,a(flip))]. 1816 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(255,a,1643,a(flip),b,1008,a(flip))]. 1817 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1489(a,1),1816(a,2,1,2))]. 1818 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1747(a,1),1817(a,1,2))]. 1819 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(22,a,112,a(flip),b,1818,a)]. 1820 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1448(a,2),1818(a,2,1))]. 1821 x \ (K(x,x \ 1) * y) = K(x,x \ 1) * (x \ y). [hyper(87,a,1820,a)]. 1822 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(22,a,1543,a(flip),b,1820,a)]. 1823 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(18(a,1),1820(a,1,2,2)),flip(a)]. 1824 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(37(a,2),1820(a,1,2,2))]. 1825 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1451(a,1),1820(a,1,2,1))]. 1826 (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. [para(1529(a,1),1820(a,1,2,1))]. 1827 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y). [hyper(255,a,1465,a,b,1823,a(flip)),flip(a)]. 1828 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(1819(a,1),24(a,1)),flip(a)]. 1829 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(255,a,1278,a(flip),b,1822,a)]. 1830 L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). [hyper(22,a,1525,a,b,1827,a),flip(a)]. 1831 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(1 / y,y),1 / y). [para(73(a,1),1830(a,1,2,2)),flip(a)]. 1832 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). [para(1529(a,1),1830(a,1,2)),flip(a)]. 1833 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(801,a,1012,a),flip(a)]. 1834 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(780,a,1012,a)]. 1835 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(571(a,1),1833(a,1,1))]. 1836 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(535,a,1835,a)]. 1837 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(371,a,1835,a),flip(a)]. 1838 ((x / y) * L(y,z,u)) * y = x * L(y,z,u). [hyper(255,a,98,a(flip),b,1835,a)]. 1839 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(87,a,1835,a)]. 1840 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(80,a,98,a(flip),b,1835,a)]. 1841 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1835(a,1),272(a,1,1))]. 1842 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(172,a,1837,a,b,19,a)]. 1844 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [hyper(81,a,112,a(flip),b,1838,a),flip(a)]. 1845 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1839(a,1),1061(a,1,1)),flip(a)]. 1846 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1842(a,1),185(a,1,1))]. 1847 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(87,a,1844,a),flip(a)]. 1848 (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. [para(1844(a,1),173(a,2)),flip(a)]. 1849 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1845(a,1),573(a,1,2))]. 1850 L(x,y,z) / T(x,x \ 1) = (x \ 1) * L(x,y,z). [hyper(81,a,62,a(flip),b,1849,a)]. 1851 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(255,a,570,a(flip),b,1013,a)]. 1852 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(788,a,1014,a)]. 1853 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(255,a,184,a(flip),b,1019,a)]. 1854 T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). [para(1083(a,1),1853(a,1,2,1,2))]. 1855 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(112(a,1),1053(a,1,1))]. 1856 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [hyper(916,a,1059,a)]. 1857 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(122(a,1),1059(a,1,2))]. 1858 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(814,a,1121,a)]. 1859 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1194(a,1),1858(a,1,1))]. 1860 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(96,a,1859,a)]. 1861 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(167(a,1),1859(a,1,1,2)),flip(a)]. 1862 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(1859(a,1),304(a,1,1)),flip(b)]. 1863 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1860(a,1),949(a,1,3)),flip(a)]. 1864 T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1 = x \ (((T(y,x) \ y) * x) \ x). [para(1861(a,1),1091(a,1,2,1)),flip(a)]. 1865 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1861(a,1),1587(a,1,1,2,1))]. 1866 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1186(a,1),374(a,1))]. 1867 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(73(a,1),1226(a,1,2)),flip(a)]. 1868 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(16(a,1),1867(a,2,1,1))]. 1869 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1868(a,1),1720(a,1,2))]. 1870 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1869(a,1),404(a,1,1,2)),flip(a)]. 1871 L((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(70(a,1),1293(a,1,1,2,1))]. 1872 (L(x / (y / z),u,w) * (y / z)) * z = y * L(y \ (x * z),u,w). [hyper(255,a,570,a(flip),b,1322,a)]. 1873 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(87,a,1324,a)]. 1874 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(87,a,1325,a)]. 1875 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(16(a,1),1326(a,2,1,1,1))]. 1876 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(255,a,578,a(flip),b,1875,a)]. 1877 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(578(a,1),1876(a,1,1))]. 1878 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(96,a,1877,a),flip(a)]. 1879 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(35(a,2),1878(a,1,1)),flip(a)]. 1880 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(255,a,428,a(flip),b,1330,a)]. 1881 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(127(a,1),1880(a,1,1,1,1,2))]. 1882 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(184(a,1),1881(a,2,2))]. 1883 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(87,a,1333,a)]. 1884 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(255,a,1499,a,b,1542,a(flip)),flip(a)]. 1885 K(T(x \ 1,x) \ 1,T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). [para(1252(a,1),1546(a,1,1))]. 1886 K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(x,x \ 1). [para(1251(a,1),1885(a,1,2))]. 1887 K(T(x,x \ 1),T(x \ 1,x)) = K(x,x \ 1). [hyper(255,a,1536,a(flip),b,1886,a(flip)),flip(a)]. 1888 K(T(x,x \ 1),T(x,x \ 1) \ 1) = K(x,x \ 1). [para(1242(a,2),1887(a,1,2))]. 1889 K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = T(x,x \ 1) \ (K(x,x \ 1) * y). [para(1888(a,1),1821(a,1,2,1)),flip(a)]. 1890 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(1341(a,1),1551(a,1,2))]. 1891 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(70(a,1),1593(a,1,1,1)),flip(a)]. 1892 T(T(x,y) \ 1,T(x,x \ 1)) = T(T(x,y) \ 1,x). [hyper(1659,a,1662,a),flip(a)]. 1893 T(T(x,y) \ 1,(x \ 1) \ 1) = T(T(x,y) \ 1,x). [para(128(a,1),1892(a,1,2))]. 1894 ((x \ 1) \ 1) * T(T(x,y) \ 1,x) = (T(x,y) \ 1) * ((x \ 1) \ 1). [para(1893(a,1),127(a,1,2))]. 1895 (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). [para(656(a,1),1670(a,1,1))]. 1896 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(587(a,1),1708(a,1,2))]. 1897 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(185(a,1),1791(a,1,2))]. 1898 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(255,a,1698,a(flip),b,1897,a)]. 1899 L(x,1 / (1 / y),K(1 / (1 / y),(1 / (1 / y)) \ 1)) = L(x,K(y,y \ 1),1 / (1 / y)). [para(1534(a,1),1831(a,2,2))]. 1900 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(570(a,1),1834(a,2,1))]. 1901 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(570(a,1),1851(a,1,1))]. 1902 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(578(a,1),1852(a,2,1))]. 1903 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(789(a,1),1856(a,2,1))]. 1904 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). [para(570(a,1),1872(a,1,1))]. 1905 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(17(a,1),1873(a,1,2,2,1,2)),flip(a)]. 1906 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(33(a,2),1905(a,1,1)),flip(a)]. 1907 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(17(a,1),1874(a,1,2,2,1,2)),flip(a)]. 1908 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(19(a,1),1883(a,1,2,2,1))]. 1909 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(412,a,1908,a)]. 1910 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1908(a,1),412(a,1))]. 1911 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(255,a,1392,a(flip),b,1909,a)]. 1912 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(70(a,1),1909(a,1,2,1)),flip(a)]. 1913 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(941(a,1),1909(a,1,2)),flip(a)]. 1914 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1041(a,1),1909(a,1,2)),flip(a)]. 1915 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1357(a,1),1909(a,1,2)),flip(a)]. 1916 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1909(a,2),1378(a,1,2))]. 1917 ((x * y) / x) * ((y * (((x * y) / x) \ 1)) / y) = K(y,1 / ((x * y) / x)). [para(1630(a,1),1909(a,1,2)),flip(a)]. 1918 x * K(y,(y / (x \ 1)) / y) = (y * x) / y. [para(1911(a,2),19(a,1,2))]. 1919 K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). [para(1083(a,1),1911(a,2,2,1))]. 1920 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1159(a,1),1911(a,2,2,1))]. 1921 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(70(a,1),1916(a,1,2,2,1)),flip(a)]. 1922 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(121(a,2),1921(a,1,2))]. 1923 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(20(a,1),1922(a,2,2,2))]. 1924 T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). [para(1923(a,1),1075(a,1,2,1)),flip(a)]. 1925 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(398(a,2),1913(a,1,2,1))]. 1926 x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). [para(1923(a,1),1924(a,1,1)),flip(a)]. 1927 (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). [para(17(a,1),1926(a,1,2)),flip(a)]. 1928 (x * K(x,y)) * (x \ 1) = K(x,y). [hyper(255,a,18,a(flip),b,1927,a)]. 1929 T(x * K(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(172,a,1927,a,b,259,a(flip))]. 1930 K(x,y) / (x \ 1) = x * K(x,y). [hyper(81,a,18,a(flip),b,1927,a)]. 1934 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(255,a,1008,a(flip),b,1900,a(flip)),flip(a)]. 1935 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(255,a,824,a(flip),b,1900,a(flip))]. 1936 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(172,a,1900,a(flip),b,1008,a(flip)),flip(a)]. 1938 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(37(a,2),1936(a,1,2,1,2)),flip(a)]. 1939 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(80,a,1938,a,b,xx)]. 1940 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(18(a,1),1939(a,1,2,1,2,1)),flip(a)]. 1942 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1684(a,1),1940(a,1,1)),flip(a)]. 1943 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(255,a,1690,a(flip),b,1942,a(flip))]. 1945 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(255,a,1005,a(flip),b,1902,a(flip)),flip(a)]. 1946 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(172,a,1902,a(flip),b,1325,a),flip(a)]. 1947 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(172,a,1902,a(flip),b,1005,a(flip)),flip(a)]. 1948 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(80,a,1902,a(flip),b,1325,a),flip(a)]. 1949 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(18(a,1),1902(a,1,2,1)),flip(a)]. 1951 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(18(a,1),1949(a,1,1,2,1))]. 1952 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(371,a,1951,a),flip(a)]. 1953 ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. [hyper(308,a,1951,a),flip(a)]. 1954 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(87,a,1951,a)]. 1955 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1953(a,1),304(a,1,1)),flip(b)]. 1956 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1954(a,1),1061(a,1,1)),flip(a)]. 1957 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1956(a,1),184(a,1,2)),flip(a)]. 1958 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1956(a,1),573(a,1,2))]. 1959 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(81,a,62,a(flip),b,1958,a)]. 1961 (x * y) * R(x,y,T(x,y)) = T(x * y,x) * T(x,y). [para(987(a,1),1958(a,1,1)),flip(a)]. 1962 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(255,a,601,a(flip),b,1959,a(flip)),flip(a)]. 1963 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(37(a,2),1947(a,1,2,1,2)),flip(a)]. 1964 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(81,a,1963,a,b,578,a)]. 1965 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(80,a,1963,a,b,xx)]. 1966 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(18(a,1),1964(a,1,1,1,2,1)),flip(a)]. 1969 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(255,a,1053,a(flip),b,1903,a(flip))]. 1970 (x * (((x * y) * (x \ 1)) / (x * y))) * y = (x * y) * (y / (x * y)). [para(19(a,1),1903(a,1,2,1)),flip(a)]. 1972 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1622(a,1),1969(a,1,1)),flip(a)]. 1973 (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). [hyper(96,a,1904,a)]. 1974 R(x,y,z) * (z * R(z \ (y * z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. [para(149(a,1),1945(a,1,2,2,1,2))]. 1975 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [para(16(a,1),1973(a,1,1,2,1,2)),flip(a)]. 1976 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(35(a,2),1975(a,1,1)),flip(a)]. 1977 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(255,a,29,a,b,448,a),flip(a)]. 1978 L(x,y,T(z,z \ u)) = L(x,y,(z \ u) \ u). [hyper(255,a,597,a(flip),b,599,a(flip)),flip(a)]. 1979 (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [hyper(255,a,1193,a(flip),b,694,a(flip)),flip(a)]. 1980 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(813(a,1),914(a,1,1))]. 1981 (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). [para(735(a,1),1980(a,1,1,1,2)),flip(a)]. 1982 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(193(a,1),985(a,1,2))]. 1983 T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(47(a,2),1982(a,1,1,1))]. 1984 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(385(a,1),1983(a,1,1))]. 1985 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1984(a,1),43(a,1,1)),flip(a)]. 1986 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(920(a,1),1985(a,1,1))]. 1987 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(21(a,1),1986(a,1,1)),flip(a)]. 1988 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(472(a,1),1987(a,2,2))]. 1989 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(21(a,1),1988(a,1,1))]. 1990 T(x,x * (y \ 1)) = T(x,y \ x). [para(129(a,1),1989(a,1,2)),flip(a)]. 1991 T(x,(1 / y) \ x) = T(x,x * y). [para(73(a,1),1990(a,1,2,2)),flip(a)]. 1992 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(190(a,1),1415(a,1,1))]. 1993 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1496(a,1),1992(a,1,1))]. 1994 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(1064,a,1487,a(flip))]. 1995 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(477(a,1),1596(a,2,2))]. 1996 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(16(a,1),1995(a,2,2,1))]. 1997 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1667(a,1),1996(a,1,1))]. 1998 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(226,a,1997,a)]. 2000 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(255,a,1668,a,b,1998,a(flip)),flip(a)]. 2001 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1667(a,2),2000(a,1,2))]. 2002 x \ (((T(y,x) \ y) * x) \ x) = ((T(y,x) \ y) * x) \ 1. [para(1861(a,1),1864(a,1,1)),flip(a)]. 2003 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * ((y \ 1) \ ((y \ 1) * (y * x))). [para(433(a,1),1979(a,1,2,2)),flip(a)]. 2004 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1712(a,1),1165(a,1,1))]. 2005 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(255,a,186,a(flip),b,2004,a(flip)),flip(a)]. 2006 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(896(a,1),1209(a,1,2,1))]. 2007 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(2006(a,1),19(a,1,2))]. 2008 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(255,a,1555,a(flip),b,2007,a(flip))]. 2009 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(255,a,1903,a(flip),b,1331,a(flip))]. 2010 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [hyper(172,a,1638,a(flip),b,1337,a(flip)),flip(a)]. 2011 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(1109(a,1),1337(a,2,2))]. 2012 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(31(a,2),2011(a,1,2,1)),flip(a)]. 2013 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(1524(a,1),1532(a,2,1))]. 2014 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(87,a,2013,a)]. 2015 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) != z | K(x,x \ 1) * y = z. [para(2014(a,1),220(a,1,2)),flip(b)]. 2016 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(31(a,2),1563(a,1,2,1)),flip(a)]. 2017 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1200(a,1),2016(a,1,2))]. 2018 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(87,a,2017,a)]. 2019 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1725(a,1),1565(a,2,2,2))]. 2020 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(19(a,1),1586(a,2,1))]. 2021 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1535(a,1),1642(a,1,2))]. 2022 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1535(a,1),2021(a,2,1,2))]. 2023 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1483(a,1),2022(a,2,1))]. 2025 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(586(a,1),1714(a,2,2))]. 2026 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(586(a,1),2025(a,1,1,2))]. 2027 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(163(a,1),2026(a,1,1,2))]. 2028 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(163(a,1),2027(a,2,2))]. 2029 T(x,x * (y / (x * y))) = x. [hyper(40,a,2028,a)]. 2030 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(255,a,1896,a,b,2028,a(flip)),flip(a)]. 2031 T(x,x * ((x \ y) / y)) = x. [para(19(a,1),2029(a,1,2,2,2))]. 2032 T(x / y,(x / y) * (y / x)) = x / y. [para(21(a,1),2029(a,1,2,2,2))]. 2033 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(2031(a,1),276(a,1,1)),flip(a)]. 2034 T(x / (y * x),(x / (y * x)) * y) = x / (y * x). [para(20(a,1),2032(a,1,2,2))]. 2035 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(2032(a,1),185(a,1,1)),flip(a)]. 2036 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(255,a,129,a(flip),b,2035,a)]. 2037 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(2036(a,1),1584(a,2,1,2))]. 2038 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(2033(a,1),1584(a,2,1,2))]. 2039 T((x / (y * x)) * y,x / (y * x)) = (x / (y * x)) * y. [hyper(40,a,2034,a)]. 2040 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(127(a,1),1753(a,1,2)),flip(a)]. 2041 (x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)). [para(1219(a,2),1753(a,1,2)),flip(a)]. 2042 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(1683,a,2040,a)]. 2043 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(75(a,1),2042(a,1,1))]. 2044 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(18(a,1),2043(a,2,2,1,2)),flip(a)]. 2045 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(18(a,1),2044(a,1,2,1)),flip(a)]. 2046 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(105(a,1),2044(a,1,2,1)),flip(a)]. 2047 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(2044(a,1),409(a,1,2))]. 2048 T((x \ 1) * (x * y),x) != (x \ 1) * z | y * x = z. [para(2045(a,2),24(a,1))]. 2049 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(2045(a,1),127(a,1,2)),flip(a)]. 2050 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(255,a,190,a(flip),b,2049,a)]. 2051 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(87,a,1770,a)]. 2052 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(17(a,1),1770(a,2,2,1,2,2))]. 2053 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(1909(a,2),1770(a,1,2))]. 2054 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(17(a,1),2053(a,2,2,1,2,2))]. 2055 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(37(a,2),2054(a,1,2,2,1,2)),flip(a)]. 2056 (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [hyper(87,a,2052,a),flip(a)]. 2057 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(172,a,1903,a(flip),b,2055,a(flip))]. 2058 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(255,a,1909,a(flip),b,2057,a),flip(a)]. 2059 K(x,(x / T(x,y)) / x) = T(x * (1 / x),y). [para(19(a,1),2057(a,1,1,2,1)),flip(a)]. 2060 T(x \ T(x,x / (x * y)),z) = K(x,(x / T(y,z)) / x). [para(1379(a,2),2057(a,1,1))]. 2061 K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). [para(1912(a,1),2057(a,1,1)),flip(a)]. 2062 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [hyper(255,a,1909,a(flip),b,2059,a(flip)),flip(a)]. 2063 T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). [para(1387(a,1),2061(a,1,2,1,2)),flip(a)]. 2064 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(1083(a,1),2062(a,1,2,1))]. 2066 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1448(a,2),2064(a,2,1))]. 2067 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(2066(a,1),2001(a,1,2))]. 2068 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(2067(a,1),24(a,1))]. 2069 T(K(x,y / x),K(y / x,z)) = K(x,y / x). [para(70(a,1),2063(a,2,2,1))]. 2070 T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). [para(20(a,1),2069(a,1,1,2))]. 2071 T(K(x,y),K(y,z)) = K(x,(y * x) / x). [para(20(a,1),2070(a,1,2,1))]. 2072 T(K(x,y),K(y,z)) = K(x,y). [para(20(a,1),2071(a,2,2))]. 2073 K(K(x,y),K(y,z)) = 1. [hyper(41,a,2072,a)]. 2074 T(K(x,y),K(z,x)) = K(x,y). [hyper(40,a,2072,a)]. 2075 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(2072(a,1),127(a,1,2))]. 2076 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2072(a,1),225(a,1,2))]. 2077 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2072(a,1),183(a,1,2,1)),flip(a)]. 2078 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2072(a,1),184(a,1,2,1)),flip(a)]. 2079 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2072(a,1),362(a,1,2,1))]. 2081 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2074(a,1),225(a,1,2))]. 2082 R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). [para(2074(a,1),184(a,1,2,1)),flip(a)]. 2083 K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5. [para(2074(a,1),363(a,1,2,1))]. 2086 (K(x,y) * K(z,x)) \ (K(z,x) * (K(x,y) * u)) != w | L(u,K(x,y),K(z,x)) = w. [para(2075(a,2),431(a,1,1))]. 2087 ((x * K(y,z)) * K(z,u)) / (K(z,u) * K(y,z)) != w | R(x,K(y,z),K(z,u)) = w. [para(2075(a,2),466(a,1,2))]. 2088 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = T(x,y) * (1 / T(x,y)). [para(19(a,1),2058(a,1,2,1)),flip(a)]. 2089 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(398(a,2),2058(a,2,1,2,1)),flip(a)]. 2090 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = K(T(x,y),T(x,y) \ 1). [hyper(255,a,1448,a,b,2088,a)]. 2091 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [para(1913(a,1),2090(a,1,1)),flip(a)]. 2092 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1639(a,1),1813(a,1,2)),flip(a)]. 2093 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1158(a,1),2092(a,1,1)),flip(a)]. 2094 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1643(a,1),1815(a,1,2)),flip(a)]. 2095 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1150(a,1),2094(a,1,1)),flip(a)]. 2096 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1451(a,1),1825(a,2,1))]. 2097 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(87,a,2096,a)]. 2098 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(255,a,1488,a,b,2097,a(flip)),flip(a)]. 2099 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). [para(382(a,1),1826(a,1,2,2)),flip(a)]. 2100 R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). [para(19(a,1),1854(a,1,2,1)),flip(a)]. 2101 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1111(a,1),1915(a,1,2,1))]. 2102 ((x * y) / x) * ((((x * y) / x) \ y) / y) = K(y,1 / ((x * y) / x)). [para(1146(a,1),1917(a,1,2,1))]. 2103 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(824(a,1),1935(a,1,1))]. 2104 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(81,a,98,a(flip),b,2103,a)]. 2105 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(339(a,1),2103(a,1,1,2,2)),flip(a)]. 2106 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(339(a,1),2105(a,1,2,2)),flip(a)]. 2107 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1448(a,2),2106(a,1,1,2))]. 2108 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1448(a,2),2107(a,2,2))]. 2109 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(87,a,2108,a)]. 2110 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(81,a,98,a(flip),b,2108,a)]. 2111 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(2109(a,1),1061(a,1,1)),flip(a)]. 2112 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(2110(a,1),129(a,1,1))]. 2113 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(37(a,2),1946(a,1,1))]. 2114 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(37(a,2),2113(a,1,2,1,1))]. 2115 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(18(a,1),2114(a,2,1,2,1))]. 2116 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(255,a,231,a(flip),b,2019,a)]. 2118 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(2116(a,1),1143(a,1,1)),flip(a)]. 2119 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(255,a,1777,a(flip),b,2118,a(flip)),flip(a)]. 2120 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(374,a,2119,a)]. 2121 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(18(a,1),2119(a,1,1,2))]. 2122 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(18(a,1),2120(a,1,3))]. 2123 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(2120(a,1),1905(a,1,2)),flip(a)]. 2124 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(18(a,1),2121(a,2,2))]. 2125 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(374,a,2124,a)]. 2126 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(2124(a,1),19(a,1,2))]. 2127 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(2124(a,1),70(a,1,2))]. 2128 L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). [para(2125(a,1),346(a,1,1)),flip(a)]. 2129 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(162(a,2),2126(a,1,1,1)),flip(a)]. 2130 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(2127(a,1),1210(a,2,1,1,2)),flip(a)]. 2131 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(540,a,2129,a)]. 2132 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(255,a,162,a(flip),b,2122,a(flip)),flip(a)]. 2133 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(255,a,1448,a,b,2123,a)]. 2134 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(2133(a,1),19(a,1,2)),flip(a)]. 2135 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(19(a,1),2037(a,2,1))]. 2136 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(255,a,67,a(flip),b,2135,a)]. 2138 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * 1,y)) * z. [para(67(a,1),2041(a,1,1,2,1,2)),flip(a)]. 2139 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(17(a,1),2138(a,2,1,2,1))]. 2141 (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1. [hyper(22,a,234,a(flip),b,2139,a)]. 2142 (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). [para(19(a,1),2051(a,1,2,2,1,2,2)),flip(a)]. 2143 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(428(a,1),786(a,1,1)),flip(a)]. 2144 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(255,a,427,a(flip),b,900,a)]. 2145 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ 1 = y \ ((y * (x * T(x \ 1,y))) \ y). [para(2144(a,1),1147(a,1,2,1)),flip(a)]. 2146 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(2144(a,1),1194(a,1,1)),flip(a)]. 2147 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(2144(a,1),1623(a,1,2)),flip(a)]. 2148 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(255,a,1241,a(flip),b,948,a(flip)),flip(a)]. 2150 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(2148(a,1),627(a,1,1))]. 2151 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(255,a,186,a(flip),b,2150,a(flip))]. 2152 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(2151(a,1),1913(a,1,2))]. 2153 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(342(a,1),1157(a,1,2,2))]. 2154 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [para(2153(a,1),19(a,1,2))]. 2155 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(2154(a,1),790(a,1,2,1))]. 2156 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(2154(a,1),1909(a,2,2,1)),flip(a)]. 2157 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1410(a,1),223(a,1))]. 2158 R(x \ 1,x,y) \ ((y / (x * y)) * x) = T(x,y / (x * y)). [para(2039(a,1),1718(a,1,2))]. 2159 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [hyper(709,a,2158,a)]. 2160 (x * R(x \ 1,x,y)) \ (T(x,y / (x * y)) * R(x \ 1,x,y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2159(a,1),177(a,1,2,1))]. 2161 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(1884(a,1),1761(a,1,1))]. 2162 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(255,a,1861,a(flip),b,1865,a)]. 2163 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(255,a,2103,a(flip),b,2161,a(flip)),flip(a)]. 2165 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(189(a,2),2163(a,1,1))]. 2166 (L(x,y,z) * u) \ ((x * (x \ u)) * L(T(x,x \ u),y,z)) = a(x,x \ u,L(T(x,x \ u),y,z)). [para(1421(a,1),568(a,1,1))]. 2167 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(127(a,1),836(a,1,2,1,1)),flip(a)]. 2168 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(172,a,1639,a(flip),b,2167,a),flip(a)]. 2169 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(594,a,2168,a),flip(a)]. 2170 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). [para(1727(a,1),2168(a,1,2,1,1)),flip(a)]. 2171 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(927(a,1),2169(a,2,1,2))]. 2172 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1253(a,1),2171(a,1,1,2)),flip(a)]. 2173 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(23,a,1658,a(flip),b,2172,a)]. 2174 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(2173(a,1),129(a,1,1))]. 2175 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(255,a,1741,a(flip),b,2174,a(flip))]. 2177 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(663(a,1),2175(a,1,1))]. 2178 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(2175(a,1),2141(a,1,2,2))]. 2179 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(87,a,2178,a),flip(a)]. 2181 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(73(a,1),2177(a,1,2))]. 2182 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [para(2181(a,1),70(a,1,2))]. 2183 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(1200(a,2),2181(a,1,1))]. 2184 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(127(a,1),837(a,1,2,1,1)),flip(a)]. 2185 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(172,a,1643,a(flip),b,2184,a),flip(a)]. 2186 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(87,a,2185,a)]. 2187 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [hyper(255,a,340,a(flip),b,2185,a(flip))]. 2188 T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). [para(675(a,1),2185(a,2,1,2))]. 2189 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(342(a,1),2186(a,1,2,1,2))]. 2190 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(940(a,1),2187(a,2,2,1))]. 2191 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). [para(1095(a,1),2188(a,1,2))]. 2192 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(153(a,1),2191(a,2,1,2))]. 2193 (1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(22,a,2064,a,b,2192,a)]. 2194 (T(x,y) \ x) \ ((T(x,y) \ x) / x) = T(1 / x,T(x,y) \ x). [hyper(172,a,2193,a,b,19,a),flip(a)]. 2196 T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x). [para(2193(a,1),1096(a,1,1))]. 2197 (1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x). [hyper(255,a,129,a(flip),b,2196,a(flip))]. 2198 (1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1. [hyper(255,a,1091,a(flip),b,2197,a)]. 2199 (1 / x) * ((T(x,y) \ 1) * x) != z | T(x,y) \ 1 = z. [para(2197(a,2),1093(a,1))]. 2200 (T(x,y) \ x) * T(T(1 / x,T(x,y) \ x),x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2194(a,1),974(a,2,2,1)),flip(a)]. 2201 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(2152(a,1),2190(a,1,1)),flip(a)]. 2202 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(255,a,2091,a,b,2201,a)]. 2203 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(22,a,1448,a(flip),b,2202,a)]. 2204 (T(x,y) / x) * (1 / T(x,y)) = 1 / x. [para(2203(a,1),19(a,1,2))]. 2205 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(199(a,1),2203(a,1,2))]. 2206 T(x,y) * ((T(x,y) / x) \ (1 / x)) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2203(a,2),1464(a,1,2))]. 2208 L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x. [para(136(a,1),1036(a,1,1,1,1)),flip(a)]. 2209 (1 / x) * L(T((1 / x) \ 1,y),z,u) = L(T(x,y),z,u) / x. [hyper(1057,a,2208,a)]. 2210 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(73(a,1),2209(a,1,2,1,1))]. 2211 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(407(a,1),1148(a,1,1)),flip(a)]. 2212 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(19(a,1),1314(a,1,2,1)),flip(a)]. 2213 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(129(a,1),2212(a,1,1)),flip(a)]. 2214 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(129(a,1),2213(a,1,2)),flip(a)]. 2215 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(18(a,1),2214(a,1,1)),flip(a)]. 2216 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(18(a,1),2215(a,1,2)),flip(a)]. 2217 (1 / T(x,y)) * T(T(x,z),u) = T(T(x,z),u) / T(x,y). [para(21(a,1),1358(a,1,1,1)),flip(a)]. 2219 T(T(x,y),z) / T(x,x \ 1) = (x \ 1) * T(T(x,y),z). [para(199(a,1),2217(a,1,1)),flip(a)]. 2220 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(255,a,182,a(flip),b,2219,a)]. 2221 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(255,a,927,a(flip),b,2220,a)]. 2222 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(2221(a,1),2205(a,1,1))]. 2223 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(255,a,2175,a(flip),b,2222,a(flip))]. 2224 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [para(2223(a,1),73(a,1,1)),flip(a)]. 2225 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(128(a,1),2223(a,1,2,1))]. 2226 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(564(a,1),2223(a,1,2,1))]. 2227 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(288(a,1),2223(a,1,2,1)),flip(a)]. 2228 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [para(128(a,1),2224(a,1,1)),flip(a)]. 2229 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(564(a,1),2224(a,1,1)),flip(a)]. 2230 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2227(a,1),70(a,1,2))]. 2231 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2228(a,2),127(a,1,2))]. 2232 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(129(a,1),2228(a,1,1,1)),flip(a)]. 2234 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(255,a,1483,a,b,2230,a(flip)),flip(a)]. 2235 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(129(a,1),2230(a,1,2,2)),flip(a)]. 2236 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2230(a,1),1890(a,1,1,1,2))]. 2237 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(660,a,2231,a)]. 2238 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(129(a,1),2231(a,1,2,1,1)),flip(a)]. 2239 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(476(a,1),2231(a,1,2,1,1)),flip(a)]. 2240 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(255,a,1523,a,b,2237,a)]. 2241 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(255,a,128,a,b,2237,a)]. 2242 (T(x,y) \ 1) \ (T(x,y) \ x) = (x \ 1) \ 1. [hyper(255,a,1089,a,b,2237,a(flip)),flip(a)]. 2243 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(2068,a,2240,a)]. 2244 K(K(x,x \ 1),y) = 1. [hyper(41,a,2243,a)]. 2245 T(x,K(y,y \ 1)) = x. [hyper(40,a,2243,a)]. 2246 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(80,a,2243,a(flip),b,2066,a)]. 2247 K(x,x \ 1) * y = y * K(x,x \ 1). [para(2243(a,1),127(a,1,2)),flip(a)]. 2249 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2243(a,1),225(a,1,2))]. 2251 K(K(x \ 1,x),y) = 1. [para(1451(a,1),2244(a,1,1))]. 2252 K(x,x \ 1) * y != z * K(x,x \ 1) | z = y. [para(2245(a,1),174(a,1,2))]. 2253 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2245(a,1),225(a,1,2))]. 2255 T(x,K(y,1 / y)) = x. [para(1445(a,2),2245(a,1,2))]. 2256 T(x,K(y \ 1,y)) = x. [para(1451(a,1),2245(a,1,2))]. 2258 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(42,a,2251,a)]. 2259 K(x,1 / x) * y = y * K(x,1 / x). [hyper(2048,a,2255,a),flip(a)]. 2263 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2048,a,2256,a),flip(a)]. 2264 (x * K(y \ 1,y)) / x = K(y \ 1,y). [para(2256(a,1),144(a,1,2))]. 2266 K(x \ 1,x) * y != z * K(x \ 1,x) | z = y. [para(2256(a,1),174(a,1,2))]. 2267 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2256(a,1),225(a,1,2))]. 2269 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(255,a,1651,a,b,2258,a(flip)),flip(a)]. 2270 T((x \ 1) * x,y) = K(x \ 1,x). [para(189(a,1),2258(a,1,1))]. 2271 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2258(a,1),225(a,1,2))]. 2272 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [hyper(255,a,1822,a(flip),b,2247,a(flip))]. 2273 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2247(a,2),35(a,2,2)),flip(a)]. 2274 R(1 / x,x,K(y,y \ 1)) = K(y,y \ 1) / (K(y,y \ 1) * x). [para(2247(a,2),163(a,2,2))]. 2275 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2247(a,2),451(a,1,2))]. 2276 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) = R(T(z,y * K(x,x \ 1)),y,K(x,x \ 1)). [para(2247(a,2),574(a,1,1))]. 2277 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) != u | L(T(z,y),y,K(x,x \ 1)) = u. [para(2247(a,1),686(a,1,2))]. 2278 L(x,y,y \ 1) * K(y \ 1,y) = (y \ 1) * (y * x). [hyper(741,a,2263,a),flip(a)]. 2279 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(255,a,974,a(flip),b,2263,a)]. 2280 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [hyper(80,a,465,a(flip),b,2263,a)]. 2281 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(26,a,2263,a)]. 2282 L(x \ 1,x,K(y \ 1,y)) = (x * K(y \ 1,y)) \ K(y \ 1,y). [para(2263(a,1),162(a,2,1))]. 2283 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2263(a,1),112(a,1,1))]. 2284 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2263(a,2),451(a,1,2))]. 2286 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). [para(2263(a,2),574(a,1,1))]. 2287 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2263(a,1),686(a,1,2))]. 2288 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2263(a,2),292(a,1,1))]. 2289 ((x * y) / x) \ K(y \ 1,y) = T(((x * y) / x) \ 1,y). [para(2264(a,1),1665(a,1,2))]. 2291 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2269(a,1),1205(a,1,1))]. 2292 x * K(x \ (x / T(x,y)),x) = 1 / (1 / x). [para(2269(a,2),1483(a,1,2))]. 2293 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(255,a,405,a(flip),b,2232,a(flip)),flip(a)]. 2294 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2232(a,1),167(a,1,1,2))]. 2295 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [para(2235(a,1),167(a,1,1,2))]. 2297 (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. [para(2242(a,1),19(a,1,2))]. 2299 L(x,T(x,y) \ 1,T(x,y)) = 1 / (1 / x). [hyper(1614,a,2292,a)]. 2300 T(x,y) \ (1 / (1 / x)) = (T(x,y) \ 1) * x. [hyper(80,a,2292,a(flip),b,1207,a)]. 2301 L(L(x,y,z),T(x,u) \ 1,T(x,u)) = L(1 / (1 / x),y,z). [para(2299(a,1),50(a,1,1)),flip(a)]. 2302 ((x \ 1) \ 1) * T(T(x,y) \ 1,x) = T(x,y) \ x. [hyper(255,a,1894,a,b,2297,a(flip)),flip(a)]. 2304 x * (L(x,y,z) * (1 / x)) != u | L(x,y,z) * K(x,x \ 1) = u. [para(1543(a,1),2253(a,1))]. 2305 x * T(x \ (x / y),y) != z | K(y \ 1,y) * (x / y) = z. [para(974(a,1),2271(a,1))]. 2306 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1846(a,1),2279(a,2,2))]. 2307 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2279(a,1),2267(a,1))]. 2308 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(18(a,1),2293(a,2,1,1))]. 2309 T(x,((y * x) / y) \ 1) != z | T(x,x \ 1) = z. [para(2308(a,2),287(a,1))]. 2310 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(18(a,1),2294(a,1,1,2,1,1))]. 2311 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2294(a,1),226(a,1,1)),flip(b)]. 2312 (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). [para(18(a,1),2295(a,1,1,2,2,2))]. 2313 T(((x * y) / x) * (((x * y) / x) \ K(y \ 1,y)),((x * y) / x) \ y) = K(y \ (((x * y) / x) \ y),y). [para(2289(a,2),1222(a,1,1,2))]. 2315 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(751,a,2288,a)]. 2316 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(167(a,1),2236(a,1,1))]. 2318 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [para(2247(a,2),2273(a,1,1))]. 2319 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(37(a,2),1736(a,1,2,1,1)),flip(a)]. 2320 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(832(a,1),2319(a,1,2))]. 2321 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1752,a,2320,a),flip(a)]. 2322 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(18(a,1),2321(a,1,2,1,2)),flip(a)]. 2323 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(167(a,1),2322(a,1,1,2,1,2)),flip(a)]. 2324 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(172,a,1901,a,b,1771,a(flip))]. 2325 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(172,a,1900,a(flip),b,1771,a(flip)),flip(a)]. 2326 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(581(a,1),1948(a,2,2,1))]. 2327 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1622(a,1),1972(a,1,2)),flip(a)]. 2328 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(96,a,2327,a)]. 2329 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2328(a,1),810(a,1,1))]. 2330 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(255,a,253,a(flip),b,2329,a(flip))]. 2331 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2330(a,1),627(a,1,1))]. 2332 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(255,a,129,a(flip),b,2331,a(flip))]. 2333 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(255,a,31,a,b,2332,a),flip(a)]. 2334 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(31(a,2),2333(a,2,1,2)),flip(a)]. 2335 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(2334(a,1),21(a,1,1))]. 2336 T(K(x,y),1 / y) = K(x,y). [para(2334(a,1),166(a,1,1))]. 2337 T(1 / x,K(y,x)) = 1 / x. [hyper(40,a,2336,a)]. 2338 T(x \ 1,K(y,x)) = T(1 / x,x). [para(2337(a,1),185(a,1,1)),flip(a)]. 2341 T(x \ 1,K(y,x)) = x \ 1. [hyper(255,a,129,a(flip),b,2338,a)]. 2342 ((x \ 1) * K(y,x)) / (x \ 1) != z | K(y,x) = z. [para(2341(a,1),305(a,1,2)),flip(b)]. 2343 T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). [para(2341(a,1),344(a,2,1))]. 2344 T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). [para(19(a,1),2343(a,1,1,1))]. 2345 T(x \ y,K(z,y \ x)) = x \ y. [hyper(255,a,342,a(flip),b,2344,a)]. 2346 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(2345(a,1),127(a,1,2))]. 2347 ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). [para(290(a,1),1981(a,1,2,1,2)),flip(a)]. 2348 (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). [para(167(a,1),2347(a,1,1)),flip(a)]. 2349 x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. [para(167(a,1),2348(a,1,2)),flip(a)]. 2350 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). [para(2349(a,1),1919(a,1,2,1)),flip(a)]. 2351 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). [para(20(a,1),2350(a,2,2))]. 2352 (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. [para(2351(a,1),19(a,1,2))]. 2355 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1903(a,1),2009(a,1,2)),flip(a)]. 2356 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1909(a,2),2355(a,1,1))]. 2357 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(169(a,1),2038(a,2,1))]. 2358 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(255,a,67,a(flip),b,2357,a)]. 2360 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(2358(a,1),1143(a,1,1)),flip(a)]. 2361 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(255,a,1786,a(flip),b,2360,a(flip)),flip(a)]. 2362 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(73(a,1),2361(a,1,1,2,1))]. 2363 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(73(a,1),2362(a,2,2,1))]. 2364 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(2363(a,1),19(a,1,2))]. 2365 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(2363(a,1),2136(a,1,1))]. 2366 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(20(a,1),2365(a,1,1,2))]. 2367 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(81,a,20,a(flip),b,2364,a),flip(a)]. 2368 K(1 / x,(y / (x * y)) * x) = 1. [para(20(a,1),2366(a,1,2,2))]. 2369 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(42,a,2368,a)]. 2370 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1866,a,2369,a)]. 2371 L(x \ 1,x,(x \ y) / y) = 1 / x. [para(19(a,1),2370(a,1,3,2))]. 2372 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(163(a,2),2370(a,1,3))]. 2373 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(2370(a,1),341(a,1,2))]. 2374 (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. [para(2371(a,1),341(a,1,2))]. 2375 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(2372(a,1),347(a,1,2))]. 2376 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(2373(a,1),1792(a,1,2))]. 2377 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(2376(a,1),19(a,1,2)),flip(a)]. 2379 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1176,a,2375,a)]. 2380 T(1 / (1 / x),y / (x * y)) = x. [para(163(a,1),2379(a,1,2))]. 2381 T(x,y / (x * y)) = T(x,x \ 1). [para(2380(a,1),1440(a,1,1)),flip(a)]. 2382 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(255,a,128,a(flip),b,2381,a)]. 2383 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(80,a,2381,a,b,1522,a)]. 2384 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(2381(a,1),1292(a,2,1))]. 2385 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(21(a,1),2382(a,1,2,2))]. 2386 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(2385(a,1),397(a,1,1))]. 2387 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(20(a,1),2367(a,1,1)),flip(a)]. 2388 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(2387(a,1),1211(a,1,1,2))]. 2389 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(1390,a,2386,a)]. 2390 T(x,y / (y * x)) = T(x,x \ 1). [hyper(2309,a,2389,a),flip(a)]. 2391 T(x,y / (y * x)) = (x \ 1) \ 1. [hyper(255,a,2308,a(flip),b,2389,a(flip))]. 2392 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2390(a,1),127(a,1,2))]. 2394 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(19(a,1),2391(a,1,2,2))]. 2395 T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. [para(20(a,1),2394(a,1,2))]. 2396 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(70(a,1),2394(a,1,2))]. 2397 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(255,a,615,a(flip),b,2388,a(flip))]. 2399 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [para(2397(a,1),21(a,1,1))]. 2402 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(18(a,1),2130(a,1,1,1))]. 2403 x \ T(x,(y * x) \ y) = T(K(x,(y * x) \ y),x). [hyper(172,a,2402,a,b,19,a),flip(a)]. 2406 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2280(a,1),2315(a,1,1,2))]. 2407 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(814,a,845,a),flip(a)]. 2408 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(21(a,1),2407(a,1,2,1,2,2)),flip(a)]. 2409 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(789(a,1),2407(a,2,1))]. 2410 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(308,a,2408,a),flip(a)]. 2411 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2408(a,1),308(a,1))]. 2412 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(997,a,2410,a),flip(a)]. 2413 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(255,a,1332,a(flip),b,2410,a(flip)),flip(a)]. 2414 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [hyper(172,a,2412,a,b,19,a),flip(a)]. 2416 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(301(a,2),2413(a,2,1,2,1)),flip(a)]. 2417 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1903(a,1),2413(a,1,2)),flip(a)]. 2418 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(996(a,1),2411(a,1))]. 2420 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). [hyper(1054,a,2409,a),flip(a)]. 2421 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(308,a,2409,a),flip(a)]. 2422 (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). [hyper(172,a,2409,a(flip),b,1770,a),flip(a)]. 2424 T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(37(a,2),2422(a,1,1))]. 2425 T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(37(a,2),2424(a,1,2,1,2,1))]. 2426 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(255,a,427,a(flip),b,901,a)]. 2427 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(940(a,1),2426(a,2,2))]. 2428 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2427(a,1),1604(a,1,1)),flip(a)]. 2429 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(255,a,1423,a(flip),b,1032,a(flip)),flip(a)]. 2430 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = (L(x \ 1,y,z) * x) * x. [hyper(255,a,460,a(flip),b,1539,a)]. 2431 x * (x * L(x \ (x \ (1 / (1 / x))),y,z)) = (L(x \ 1,y,z) * x) * x. [hyper(1048,a,2430,a)]. 2432 x * (x * L(x \ K(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(1480(a,1),2431(a,1,2,2,1,2))]. 2433 x * (x * L(T(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(294(a,1),2432(a,1,2,2,1))]. 2434 (L(x \ 1,y,z) * x) * x = x * (L(x \ 1,y,z) * x). [para(183(a,1),2433(a,1,2)),flip(a)]. 2435 T(x,L(x \ 1,y,z) * x) = x. [hyper(173,a,2434,a)]. 2436 T(x \ y,(y \ x) * (x \ y)) = x \ y. [para(342(a,1),2435(a,1,2,1))]. 2437 T(x \ (x / y),y * (x \ (x / y))) = x \ (x / y). [para(73(a,1),2436(a,1,2,1))]. 2438 R(x \ (x / y),y,x \ (x / y)) = T(x \ (x / y),y). [para(2437(a,1),718(a,1,1))]. 2439 T(x \ (x / y),y) \ T((x \ (x / y)) * y,x \ (x / y)) = T(y,x \ (x / y)). [para(2438(a,1),1319(a,1,1))]. 2440 T(x \ (x / y),y) \ ((x \ (x / y)) * y) = T(y,x \ (x / y)). [para(1733(a,1),2439(a,1,2))]. 2441 T(x,T(y \ (y / x),x)) = T(x,y \ (y / x)). [hyper(359,a,2440,a)]. 2442 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(T(1 / x,R(x,y,z)),x)). [para(1175(a,1),2441(a,1,2,1)),flip(a)]. 2443 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(x \ 1,R(x,y,z))). [para(185(a,1),2442(a,2,2))]. 2444 T(x,T(1 / x,R(x,y,z))) = T(x,T(x \ 1,R(x,y,z))). [para(1175(a,1),2443(a,1,2))]. 2445 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(895(a,1),1590(a,1,1))]. 2446 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1109(a,1),2445(a,1,1))]. 2447 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1588(a,1),2446(a,1,2))]. 2448 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(255,a,45,a,b,2447,a(flip)),flip(a)]. 2449 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1571(a,1),2448(a,1,1))]. 2450 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(255,a,1109,a,b,2449,a(flip)),flip(a)]. 2451 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2449(a,1),2012(a,1,2))]. 2452 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(255,a,1591,a(flip),b,2450,a(flip))]. 2453 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(656(a,1),1750(a,1,1)),flip(a)]. 2454 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * (y * T(y \ 1,z))) * z. [para(127(a,1),2453(a,1,2))]. 2455 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). [para(1406(a,1),2099(a,2,2))]. 2456 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(664(a,1),2429(a,1,2)),flip(a)]. 2457 T(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x. [para(2456(a,2),1540(a,1,2))]. 2458 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). [hyper(255,a,192,a(flip),b,2455,a)]. 2459 L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). [para(1529(a,1),2458(a,1,1)),flip(a)]. 2460 K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). [para(127(a,1),2459(a,1,1)),flip(a)]. 2461 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(189(a,2),1010(a,1,2,1,1))]. 2462 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1448(a,2),1461(a,1,2,1,1))]. 2463 (x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1709(a,1),1692(a,1,2,1))]. 2464 T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z). [para(1160(a,1),2463(a,1,2)),flip(a)]. 2465 T(x \ 1,R(x,y,z)) \ ((x \ 1) * R(x,y,z)) = T(R(x,y,z),x \ 1). [para(2464(a,1),1716(a,1,2))]. 2466 T(R(x,y,z),T(x \ 1,R(x,y,z))) = T(R(x,y,z),x \ 1). [hyper(359,a,2465,a)]. 2467 R(T(x,T(x \ 1,R(x,y,z))),y,z) = T(R(x,y,z),x \ 1). [hyper(255,a,47,a,b,2466,a(flip)),flip(a)]. 2468 R(T(x,T(x \ 1,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [hyper(255,a,47,a,b,2467,a)]. 2469 R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [para(2444(a,2),2468(a,1,1))]. 2470 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). [para(1203(a,2),1734(a,2,2,1))]. 2471 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(37(a,2),1745(a,1,1,2,2,1,2)),flip(a)]. 2472 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(66(a,1),1748(a,1,1)),flip(a)]. 2473 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(127(a,1),2472(a,1,1))]. 2475 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(18(a,1),2473(a,1,1,1)),flip(a)]. 2476 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2473(a,1),25(a,1))]. 2477 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2475(a,2),25(a,1))]. 2478 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1529(a,1),1829(a,1,1))]. 2479 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1020(a,1),2478(a,1,2))]. 2480 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(255,a,2165,a(flip),b,2479,a(flip)),flip(a)]. 2481 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(255,a,2131,a(flip),b,2480,a)]. 2482 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(23,a,2161,a,b,2481,a(flip)),flip(a)]. 2483 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(255,a,162,a(flip),b,2482,a),flip(a)]. 2484 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(162(a,1),2483(a,2,2,2)),flip(a)]. 2485 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(255,a,17,a,b,2484,a)]. 2486 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(87,a,2484,a)]. 2487 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2486(a,1),241(a,1,1))]. 2488 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(22,a,1030,a,b,2485,a(flip)),flip(a)]. 2489 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(80,a,2488,a(flip),b,2456,a(flip)),flip(a)]. 2490 T(1 / (1 / x),(y * x) \ y) / 1 = x. [para(2488(a,1),2457(a,1,2))]. 2492 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(255,a,128,a,b,2489,a)]. 2493 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(81,a,2489,a(flip),b,2402,a),flip(a)]. 2494 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(19(a,1),2489(a,1,2,1))]. 2495 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(104(a,1),2492(a,1,2,1))]. 2496 T(1 / (1 / x),(y * x) \ y) = x. [hyper(216,a,2490,a)]. 2498 T(1 / (1 / (x \ y)),y \ x) = x \ y. [para(19(a,1),2496(a,1,2,1))]. 2499 (((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y). [para(2496(a,1),167(a,1,1,2))]. 2500 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(255,a,1447,a(flip),b,2493,a)]. 2502 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(19(a,1),2500(a,1,2,1)),flip(a)]. 2503 K(x,y \ (y / x)) = K(x,x \ 1). [para(21(a,1),2500(a,1,2,1))]. 2504 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(1115(a,2),2500(a,1,2,1))]. 2505 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2500(a,2),1535(a,1,1))]. 2506 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2500(a,2),2243(a,1,1))]. 2507 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(255,a,616,a,b,2503,a(flip)),flip(a)]. 2508 1 / T(x \ y,y \ x) = (x \ y) \ 1. [para(2494(a,2),70(a,1,2))]. 2509 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(73(a,1),2494(a,1,2))]. 2510 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. [para(1204(a,2),2494(a,1,1))]. 2511 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2494(a,1),1556(a,1,2)),flip(a)]. 2512 K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). [para(2494(a,2),1657(a,2,1,2,2)),flip(a)]. 2513 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(2494(a,2),2294(a,1,1,2))]. 2514 T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). [para(1204(a,2),2498(a,1,1,2,2))]. 2515 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(18(a,1),2508(a,1,2,2))]. 2516 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(1453,a,2502,a)]. 2517 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(18(a,1),2502(a,2,2))]. 2518 T(x,K(y \ z,z \ y)) = x. [para(2502(a,1),2245(a,1,2))]. 2519 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2477,a,2518,a),flip(a)]. 2520 (x * K(y \ z,z \ y)) / x != u | K(y \ z,z \ y) = u. [para(2518(a,1),305(a,1,2)),flip(b)]. 2521 x * (((y \ (y / x)) \ 1) \ 1) = (y \ (y / x)) * x. [para(2509(a,1),127(a,1,2))]. 2522 L(x,(y * x) \ y,x) = 1 / (1 / x). [hyper(255,a,1728,a(flip),b,2499,a(flip)),flip(a)]. 2524 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [para(19(a,1),2522(a,1,2,1))]. 2525 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [hyper(255,a,1735,a(flip),b,2524,a(flip)),flip(a)]. 2526 L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). [para(18(a,1),2524(a,1,2))]. 2527 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2524(a,1),2134(a,1,2)),flip(a)]. 2528 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(617,a,2513,a)]. 2529 T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. [para(18(a,1),2528(a,1,2))]. 2530 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(31(a,2),2495(a,1,2)),flip(a)]. 2531 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(255,a,128,a(flip),b,2530,a(flip))]. 2532 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(255,a,2074,a(flip),b,2531,a(flip))]. 2535 1 / (1 / K(x,y)) = K(x,y). [para(2532(a,1),145(a,1,2,2))]. 2537 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2502(a,1),2527(a,1,2))]. 2538 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2507(a,1),2537(a,1,2))]. 2539 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ ((x * (y * z)) / L(z,y,x))))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(143(a,1),2538(a,1,1)),flip(a)]. 2540 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [hyper(255,a,2128,a(flip),b,2526,a(flip)),flip(a)]. 2542 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(70(a,1),2540(a,1,1))]. 2543 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(896(a,1),2504(a,1,2))]. 2544 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(255,a,2502,a(flip),b,2543,a)]. 2545 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(193(a,1),2487(a,2,1))]. 2546 T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). [hyper(255,a,1656,a(flip),b,2512,a(flip))]. 2547 T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). [para(18(a,1),2546(a,1,1,1)),flip(a)]. 2548 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). [para(2535(a,1),2514(a,1,1))]. 2549 ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). [hyper(255,a,2510,a(flip),b,2548,a(flip)),flip(a)]. 2550 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(2549(a,1),70(a,1,2))]. 2551 (x \ 1) \ (T(x,y) \ 1) = 1 / (x \ T(x,y)). [hyper(255,a,2179,a,b,2550,a),flip(a)]. 2552 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). [para(18(a,1),2547(a,1,1,1)),flip(a)]. 2553 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). [para(18(a,1),2552(a,2,2))]. 2555 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * (y * x). [para(18(a,1),2003(a,2,2))]. 2556 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = L(x,y,1 / y). [hyper(255,a,192,a(flip),b,2555,a)]. 2558 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | L(x,y,1 / y) = z. [para(2555(a,2),434(a,1))]. 2559 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) != z | (1 / y) * (y * x) = z. [para(2556(a,2),366(a,1))]. 2560 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1158(a,1),2093(a,1,2,1)),flip(a)]. 2561 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(80,a,64,a(flip),b,2560,a),flip(a)]. 2562 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1150(a,1),2095(a,1,2,1)),flip(a)]. 2563 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(80,a,64,a(flip),b,2562,a),flip(a)]. 2564 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2563(a,1),24(a,1))]. 2565 x \ ((x * (y * T(y \ 1,x))) \ x) = (x * (y * T(y \ 1,x))) \ 1. [para(2144(a,1),2145(a,1,1)),flip(a)]. 2566 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(2144(a,1),2146(a,1,2)),flip(a)]. 2567 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(255,a,18,a(flip),b,2566,a)]. 2569 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(924(a,1),2567(a,1,1,2)),flip(a)]. 2570 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). [para(953(a,2),2567(a,1,1,2)),flip(a)]. 2571 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(255,a,924,a(flip),b,2569,a(flip))]. 2572 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(977,a,2570,a),flip(a)]. 2573 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(313,a,2572,a),flip(a)]. 2574 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(255,a,192,a(flip),b,2147,a)]. 2575 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(2144(a,1),2574(a,1,1)),flip(a)]. 2576 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(953(a,2),2575(a,1,1)),flip(a)]. 2577 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(953(a,2),2576(a,1,1,2)),flip(a)]. 2578 (T(x,y) \ x) * T(x \ 1,T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(185(a,1),2200(a,1,2))]. 2579 ((T(x,y) \ x) / x) * K(x \ 1,x) = (x \ 1) * (T(x,y) \ x). [hyper(225,a,2578,a),flip(a)]. 2581 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(21(a,1),2421(a,2,2,1,2,1))]. 2582 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(96,a,2581,a)]. 2583 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(16(a,1),2582(a,1,1,2,1,2,2)),flip(a)]. 2584 ((x * y) * L((x \ (z * u)) / y,y,x)) / u = ((x * y) / u) * ((y * (((x * y) / u) \ z)) / y). [para(782(a,2),2582(a,1,1,2))]. 2585 ((x * y) * ((y * ((x * y) \ x)) / y)) / x = ((x * y) / x) * ((((x * y) / x) \ y) / y). [para(1146(a,1),2583(a,1,2,1)),flip(a)]. 2586 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2427(a,1),2428(a,1,2,1)),flip(a)]. 2587 L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). [hyper(362,a,2460,a),flip(a)]. 2588 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. [hyper(255,a,1753,a(flip),b,2461,a)]. 2589 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(935(a,1),2462(a,2,2))]. 2590 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(255,a,1680,a(flip),b,2589,a)]. 2591 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(661,a,2590,a),flip(a)]. 2592 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(18(a,1),2590(a,1,2,1)),flip(a)]. 2593 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [para(2590(a,1),855(a,1,2)),flip(a)]. 2594 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(129(a,1),2591(a,2,1))]. 2595 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2592(a,2),1824(a,1,2))]. 2596 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(255,a,2112,a(flip),b,2594,a(flip)),flip(a)]. 2597 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2596(a,1),19(a,1,2))]. 2598 ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). [para(73(a,1),2596(a,1,2,2,2)),flip(a)]. 2599 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(18(a,1),2597(a,1,2,1)),flip(a)]. 2600 R(x,y,K(x,x \ 1)) = x. [hyper(454,a,2599,a)]. 2601 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = ((1 / x) * y) * K(x \ 1,x). [para(1529(a,1),2599(a,1,2)),flip(a)]. 2602 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2600(a,1),47(a,2,1))]. 2603 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(255,a,2111,a(flip),b,2602,a(flip))]. 2605 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1451(a,1),2603(a,1,2,2))]. 2606 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(225,a,2595,a)]. 2607 K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. [para(2595(a,1),225(a,1))]. 2608 L(x,y,K(x,x \ 1)) = x. [hyper(422,a,2606,a)]. 2609 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1529(a,1),2608(a,1,3))]. 2610 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2609(a,1),45(a,2,1))]. 2611 (1 / K(x,x \ 1)) * T(y,x) = T(((x \ 1) * x) * y,x). [para(281(a,1),2593(a,1,1,1)),flip(a)]. 2612 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(189(a,2),2611(a,2,1,1))]. 2613 T(K(x \ 1,x) * y,x) = ((x \ 1) * x) * T(y,x). [para(281(a,1),2612(a,1,1)),flip(a)]. 2614 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(189(a,2),2613(a,2,1))]. 2615 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2614(a,2),1407(a,1,2))]. 2616 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(225,a,2615,a)]. 2617 L(x,y,K(x \ 1,x)) = x. [hyper(422,a,2616,a)]. 2618 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2617(a,1),45(a,2,1))]. 2619 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(2157,a,2618,a)]. 2620 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(1009(a,1),2619(a,1,2)),flip(a)]. 2621 (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(382(a,1),2598(a,1,1)),flip(a)]. 2622 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2193(a,1),2601(a,2,1))]. 2623 (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(1533(a,1),2621(a,1,2,2))]. 2624 (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2587(a,2),2623(a,1,2))]. 2625 (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). [hyper(497,a,2624,a),flip(a)]. 2626 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(1529(a,1),2625(a,1,2))]. 2627 R(x,y,K(x \ 1,x)) = x. [hyper(454,a,2626,a)]. 2628 x * ((T(x,y) \ 1) * K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x). [para(1083(a,1),2626(a,1,1)),flip(a)]. 2629 R(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2627(a,1),47(a,2,1))]. 2630 x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. [para(2627(a,1),230(a,1,1))]. 2631 (T(x,y) \ 1) * K(x \ 1,x) = T(x,y) \ K(x \ 1,x). [para(2629(a,1),379(a,1,1)),flip(a)]. 2632 (T(x,y) \ x) * K(x \ 1,x) = x * (T(x,y) \ K(x \ 1,x)). [para(2631(a,1),2628(a,1,2)),flip(a)]. 2633 (T(x,y) \ x) * K(x \ 1,x) = T(x,y) \ (1 / (1 / x)). [hyper(255,a,1484,a(flip),b,2632,a)]. 2634 ((x * y) / x) * ((((x * y) / x) \ y) / y) = ((x * y) * L(1 / y,y,x)) / x. [para(763(a,1),2585(a,1,1,2)),flip(a)]. 2635 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * (y * (1 / y))) / x. [para(112(a,1),2634(a,2,1))]. 2636 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * K(y,y \ 1)) / x. [para(1448(a,2),2635(a,2,1,2))]. 2637 K(x,1 / ((y * x) / y)) = (y * K(x,x \ 1)) / y. [hyper(255,a,2102,a(flip),b,2636,a(flip)),flip(a)]. 2638 (x * K(x \ y,(x \ y) \ 1)) / x = K(x \ y,1 / (y / x)). [para(19(a,1),2637(a,1,2,2,1)),flip(a)]. 2639 (x * K(x \ y,y \ x)) / x = K(x \ y,1 / (y / x)). [para(2502(a,1),2638(a,1,1,2))]. 2640 (x * (1 / (1 / (x \ y)))) / y = K(y \ x,1 / (x / y)). [para(2527(a,1),2638(a,1,1))]. 2641 K(x \ y,1 / (y / x)) != z | K(x \ y,y \ x) = z. [para(2639(a,1),2520(a,1))]. 2642 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * (1 / (1 / K(x,(x / (y \ 1)) / x)))) / ((x * y) / x). [para(1911(a,2),2640(a,1,1,2,2,2)),flip(a)]. 2643 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(255,a,459,a(flip),b,653,a)]. 2644 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(839,a,2643,a)]. 2645 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(127(a,1),2644(a,1,2)),flip(a)]. 2646 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(255,a,1870,a(flip),b,1045,a(flip)),flip(a)]. 2648 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2646(a,1),789(a,1,1)),flip(a)]. 2649 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(255,a,570,a(flip),b,2648,a)]. 2650 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(255,a,1914,a(flip),b,2649,a(flip))]. 2651 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(839,a,1564,a),flip(a)]. 2652 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(656(a,1),2651(a,2,2))]. 2653 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(422,a,2652,a)]. 2654 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(255,a,1200,a(flip),b,2653,a),flip(a)]. 2655 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(67(a,1),2653(a,2,1,2))]. 2656 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(924(a,1),2653(a,1,1))]. 2657 L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). [para(20(a,1),2656(a,2,1,2))]. 2658 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(386(a,1),2656(a,2,1,2))]. 2659 L(x * T(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u. [para(2654(a,1),413(a,1))]. 2660 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2403(a,1),2658(a,1,1))]. 2661 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2506(a,1),2660(a,1,1))]. 2662 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2661(a,2),390(a,1,1)),flip(a)]. 2663 T(x,L(K(y,y \ 1),y,z)) = x. [para(2661(a,2),2256(a,1,2))]. 2665 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(255,a,2517,a(flip),b,2662,a(flip)),flip(a)]. 2666 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1638(a,1),1585(a,2,1))]. 2667 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1190(a,1),2666(a,2,1,1))]. 2668 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(255,a,35,a,b,2667,a),flip(a)]. 2669 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2667(a,2),466(a,1))]. 2670 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(255,a,1200,a(flip),b,2668,a),flip(a)]. 2671 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(67(a,1),2668(a,2,1,2))]. 2672 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1162(a,1),2668(a,2,1,2))]. 2673 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(225,a,2670,a),flip(a)]. 2675 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [hyper(255,a,953,a,b,979,a)]. 2676 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),((x * y) \ x) \ 1). [para(2675(a,1),129(a,1,1)),flip(a)]. 2677 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),y). [hyper(255,a,2553,a(flip),b,2676,a)]. 2678 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(189(a,2),1047(a,1,2,1,1))]. 2679 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(189(a,2),1049(a,1,2,1,1))]. 2680 (T(x,y) \ 1) * L(T(x,T(x,y) \ 1),z,u) = T(x,y) \ L(x,z,u). [para(19(a,1),1152(a,1,2,1)),flip(a)]. 2681 L(x,y,z) \ (T(x,u) \ L(x,y,z)) = T(x,u) \ 1. [hyper(80,a,2680,a(flip),b,183,a(flip))]. 2682 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1790(a,1),1178(a,1,1))]. 2683 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2469(a,1),2682(a,1,1))]. 2684 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1175(a,1),2683(a,2,1))]. 2685 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(2684(a,2),624(a,1))]. 2686 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(37(a,2),1215(a,1,1))]. 2687 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2159(a,1),2686(a,2,2))]. 2688 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(826(a,1),1396(a,1,2)),flip(a)]. 2689 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2654(a,1),1433(a,1,1))]. 2690 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(289(a,1),2689(a,1,1,1))]. 2691 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1424(a,1),2690(a,1,2))]. 2692 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [hyper(255,a,45,a,b,2691,a(flip)),flip(a)]. 2693 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1429(a,1),2692(a,2,1))]. 2694 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2258(a,1),2693(a,1,1))]. 2695 (x * y) * K(L(z,y,x) \ 1,z) = x * (y * K(z \ 1,z)). [para(2694(a,1),112(a,1,2))]. 2697 (x * y) * z != x * (y * K(u \ 1,u)) | K(L(u,y,x) \ 1,u) = z. [para(2695(a,1),24(a,1)),flip(a)]. 2698 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(105(a,1),2326(a,1,1))]. 2699 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(105(a,1),2698(a,1,2,1,1))]. 2700 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = (x \ 1) * (T(x,y) \ x). [hyper(255,a,2579,a(flip),b,2622,a)]. 2701 (1 / x) * ((T(x,y) \ x) * K(x \ 1,x)) = (x \ 1) * (T(x,y) \ x). [para(1529(a,1),2700(a,1,2,2))]. 2702 (1 / x) * (T(x,y) \ (1 / (1 / x))) = (x \ 1) * (T(x,y) \ x). [para(2633(a,1),2701(a,1,2))]. 2703 (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). [para(2300(a,1),2702(a,1,2))]. 2704 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(2199,a,2703,a),flip(a)]. 2705 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(80,a,2198,a(flip),b,2703,a(flip))]. 2707 T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). [hyper(284,a,2704,a),flip(a)]. 2708 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(255,a,2551,a(flip),b,2705,a(flip)),flip(a)]. 2709 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(255,a,2179,a(flip),b,2705,a(flip)),flip(a)]. 2710 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(2708(a,1),148(a,1,2,1))]. 2711 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(47(a,2),2709(a,1,1,2))]. 2712 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(129(a,1),2709(a,1,1,2)),flip(a)]. 2713 (x * T(x \ 1,y)) \ 1 = T(1 / x,y) \ (1 / x). [para(663(a,1),2709(a,1,1))]. 2714 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1923(a,1),2709(a,1,1,2)),flip(a)]. 2715 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(129(a,1),2712(a,1,1)),flip(a)]. 2716 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(18(a,1),2715(a,1,1,2)),flip(a)]. 2717 (x * T(x \ 1,y)) \ 1 = x \ (T(1 / x,y) \ 1). [hyper(255,a,2707,a(flip),b,2713,a)]. 2718 (x \ y) \ (T(1 / (x \ y),z) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1555(a,1),2717(a,1,1)),flip(a)]. 2719 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(18(a,1),2716(a,1,1)),flip(a)]. 2720 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(2719(a,1),70(a,1,2))]. 2722 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(18(a,1),2714(a,2,1))]. 2724 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(47(a,2),2711(a,2,1))]. 2725 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(255,a,1945,a(flip),b,2678,a)]. 2726 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(255,a,1934,a(flip),b,2679,a)]. 2727 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1018(a,1),2725(a,2,1))]. 2728 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(1017(a,1),2726(a,2,1))]. 2729 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(255,a,461,a(flip),b,772,a)]. 2730 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1391,a,2729,a)]. 2731 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1234(a,1),2730(a,2,1,1))]. 2732 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [para(37(a,2),1974(a,1,2,2,1)),flip(a)]. 2733 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(184(a,1),2732(a,2,2))]. 2734 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = L(T(x,y),y,K(z,z \ 1)). [hyper(2277,a,2276,a),flip(a)]. 2735 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(2287,a,2286,a),flip(a)]. 2736 ((x * y) / z) * ((y * (((x * y) / z) \ u)) / y) = (x * (y * ((x \ (u * z)) / y))) / z. [para(112(a,1),2584(a,1,1)),flip(a)]. 2737 x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T((1 / x) \ 1,y)). [para(73(a,1),1139(a,1,2,1)),flip(a)]. 2738 x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)). [para(73(a,1),2737(a,2,2,2,1))]. 2739 x * T(x \ T(x,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)). [para(73(a,1),2738(a,1,2,1,2,1))]. 2740 (1 / x) \ (x \ T(x,y)) = x * T(x \ T(x,y),x). [para(73(a,1),2739(a,1,2,2)),flip(a)]. 2741 (1 / x) \ (x \ T(x,y)) = (x \ T(x,y)) * x. [hyper(255,a,127,a(flip),b,2740,a)]. 2742 (x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ (x \ (x * K(x,y))). [para(1923(a,1),2741(a,1,2,2)),flip(a)]. 2743 (x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ K(x,y). [para(18(a,1),2742(a,2,2))]. 2745 (x \ (x * K(x,y))) * x = (1 / x) \ K(x,y). [para(1923(a,1),2743(a,1,1,2))]. 2746 (1 / x) \ K(x,y) = K(x,y) * x. [para(18(a,1),2745(a,1,1)),flip(a)]. 2748 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(18(a,1),1808(a,1,2,1)),flip(a)]. 2749 K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [hyper(255,a,1466,a(flip),b,1889,a)]. 2750 K(x,x \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [para(1888(a,1),2749(a,1,1))]. 2751 L(x \ y,x,K(x,x \ 1)) = K(x,x \ 1) * (((x \ 1) \ 1) \ y). [para(128(a,1),2750(a,1,2,1)),flip(a)]. 2752 a(x,x \ y,L(T(x,x \ y),z,u)) = (L(x,z,u) * y) \ (y * L(T(x,x \ y),z,u)). [para(19(a,1),2166(a,1,2,1)),flip(a)]. 2754 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(255,a,1734,a(flip),b,2470,a(flip))]. 2755 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(2183(a,1),2754(a,1,2))]. 2756 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(255,a,2211,a(flip),b,2755,a(flip))]. 2757 T(1 / (1 / x),y) \ T(x,y) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2756(a,1),2206(a,1))]. 2758 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1720(a,1),2657(a,1,1,2)),flip(a)]. 2759 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(60(a,1),2758(a,2,1))]. 2760 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(255,a,325,a(flip),b,2759,a)]. 2763 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2760(a,1),263(a,1,2)),flip(a)]. 2764 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(255,a,17,a(flip),b,2763,a)]. 2765 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2764(a,1),25(a,1)),flip(a)]. 2766 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1962(a,1),1920(a,1,2,1))]. 2767 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(20(a,1),2766(a,1,2)),flip(a)]. 2768 (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). [para(2767(a,1),19(a,1,2)),flip(a)]. 2770 (x \ 1) * K(R(x,y,z),x \ 1) != u | (x \ R(x,y,z)) / R(x,y,z) = u. [para(2767(a,1),220(a,1,2)),flip(b)]. 2771 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. [para(2768(a,2),222(a,1,2)),flip(b)]. 2772 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(2182(a,1),1290(a,1,1,2))]. 2773 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(939(a,1),2772(a,1,1,2)),flip(a)]. 2774 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(942(a,1),2773(a,2,1))]. 2775 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(407(a,1),2774(a,1,1))]. 2776 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(2757,a,2775,a)]. 2778 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(1111(a,1),2089(a,2,2,1))]. 2779 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1925(a,1),2778(a,1,1)),flip(a)]. 2780 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(255,a,2101,a(flip),b,2779,a(flip)),flip(a)]. 2781 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(765(a,1),2155(a,2,1))]. 2782 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(255,a,2688,a(flip),b,2781,a)]. 2783 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1773(a,1),2156(a,2,2,1))]. 2784 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(20(a,1),2783(a,2,2))]. 2785 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [hyper(255,a,2782,a(flip),b,2784,a(flip)),flip(a)]. 2787 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [para(2785(a,1),19(a,1,2))]. 2788 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(255,a,2525,a(flip),b,2787,a)]. 2789 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(22,a,1483,a,b,2788,a),flip(a)]. 2790 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(255,a,615,a(flip),b,2789,a)]. 2791 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2789(a,1),2511(a,1,2))]. 2792 L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). [hyper(255,a,2661,a,b,2790,a(flip)),flip(a)]. 2793 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(2790(a,1),1573(a,1,2))]. 2794 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(255,a,2500,a(flip),b,2792,a)]. 2795 K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). [para(2792(a,1),2665(a,2,1)),flip(a)]. 2797 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(1529(a,1),2794(a,1,1))]. 2798 K((x * y) \ x,y) = K(y \ 1,y). [hyper(255,a,2505,a(flip),b,2795,a(flip))]. 2800 K(x \ (x / y),y) = K(y \ 1,y). [para(21(a,1),2798(a,1,1,1))]. 2801 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(127(a,1),2798(a,1,1,1)),flip(a)]. 2802 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). [para(897(a,1),2800(a,1,1,2)),flip(a)]. 2803 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(37(a,1),2801(a,2,2)),flip(a)]. 2804 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(255,a,1529,a(flip),b,2797,a)]. 2805 (x * (y \ 1)) / K(y \ 1,y) = x * (1 / y). [para(2804(a,1),697(a,1,2))]. 2806 (x / (y \ 1)) * (1 / y) = x / K(y \ 1,y). [para(2804(a,1),699(a,1,2)),flip(a)]. 2807 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1764,a,2805,a)]. 2808 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(520,a,2805,a),flip(a)]. 2809 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(2805(a,1),21(a,1,1))]. 2810 (x * (1 / y)) * y = R(x,y \ 1,y). [para(2805(a,1),1763(a,1,1))]. 2812 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(1034,a,2807,a),flip(a)]. 2813 R(x / (1 / y),y \ 1,y) = x * y. [hyper(479,a,2812,a),flip(a)]. 2814 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [hyper(255,a,554,a(flip),b,2812,a(flip))]. 2815 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(70(a,1),2812(a,1,2)),flip(a)]. 2816 x \ R(x,y \ 1,y) = a(x,1 / y,y). [para(2812(a,1),648(a,1,2))]. 2817 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(2335(a,1),2810(a,1,1))]. 2818 L(a(x,1 / y,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2816(a,1),2406(a,1,1))]. 2820 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [para(2808(a,1),21(a,1,1))]. 2821 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2271,a,2809,a)]. 2822 R(x,1 / y,K(y \ 1,y)) = x. [hyper(758,a,2809,a)]. 2823 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1449(a,1),2822(a,1,3))]. 2824 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(255,a,1471,a(flip),b,2823,a(flip)),flip(a)]. 2825 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2823(a,1),1470(a,1,1)),flip(a)]. 2826 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(255,a,1367,a,b,2820,a(flip)),flip(a)]. 2827 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(255,a,1368,a(flip),b,2820,a(flip))]. 2829 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(255,a,2110,a(flip),b,2824,a(flip)),flip(a)]. 2830 x * K(y,y \ 1) != z * y | z * (1 / (1 / y)) = x. [para(2825(a,1),25(a,1)),flip(a)]. 2831 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2826(a,1),21(a,1,1))]. 2832 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2826(a,1),2813(a,1,1))]. 2833 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2271,a,2827,a)]. 2835 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(255,a,2538,a(flip),b,2829,a(flip)),flip(a)]. 2836 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(80,a,2829,a(flip),b,2538,a(flip)),flip(a)]. 2838 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(2528(a,1),2814(a,1,1)),flip(a)]. 2839 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(70(a,1),2835(a,1,2,2,2,2)),flip(a)]. 2840 (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). [para(2835(a,1),2295(a,1,1))]. 2841 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(70(a,1),2836(a,2,2,2,2))]. 2842 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2836(a,1),73(a,1,1))]. 2843 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(18(a,1),2839(a,2,2,2,2))]. 2844 (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). [para(2839(a,1),73(a,1,1))]. 2845 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. [para(70(a,1),2840(a,1,1,2,2)),flip(a)]. 2846 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(145(a,1),2842(a,1,1,2,2)),flip(a)]. 2847 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2542(a,2),2843(a,1,2))]. 2848 x / L(y,y \ 1,x) = x * (1 / y). [para(70(a,1),2847(a,2,2,2))]. 2849 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2848(a,2),615(a,1,1,2))]. 2850 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(255,a,2653,a,b,2849,a(flip)),flip(a)]. 2851 x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). [hyper(255,a,115,a,b,2850,a(flip)),flip(a)]. 2852 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(73(a,1),2850(a,1,2))]. 2853 (x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)). [para(37(a,2),2844(a,1,1,2,2,2))]. 2854 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. [para(2845(a,1),73(a,1,1)),flip(a)]. 2855 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2846(a,1),73(a,1,1))]. 2856 x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). [para(2846(a,1),148(a,1,2,1))]. 2857 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(255,a,2509,a,b,2855,a(flip)),flip(a)]. 2858 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2855(a,1),2521(a,1,2))]. 2859 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2857(a,2),19(a,1,2))]. 2860 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [para(73(a,1),2857(a,2,2,2,1))]. 2861 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(2307,a,2859,a)]. 2862 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(2305,a,2859,a)]. 2863 x * T(x \ (x / y),y) = x / T(y,y \ 1). [hyper(255,a,601,a,b,2859,a)]. 2864 (x / y) * K(y \ 1,y) = x / T(y,y \ 1). [hyper(255,a,601,a,b,2861,a)]. 2865 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(20(a,1),2861(a,1,1)),flip(a)]. 2866 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2861(a,1),1758(a,1,1))]. 2867 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = x * (L(x,y,z) / T(x,x \ 1)). [para(2863(a,1),1427(a,1,2)),flip(a)]. 2868 (x / T(y,y \ 1)) * y = x * K(y \ 1,y). [para(2864(a,1),1758(a,1,1))]. 2869 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [para(2865(a,1),21(a,1,1))]. 2870 (x / ((y \ 1) \ 1)) * y = K(y \ 1,y) * x. [hyper(255,a,2263,a,b,2866,a)]. 2871 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(20(a,1),2866(a,1,1)),flip(a)]. 2872 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(602(a,1),2866(a,1,1)),flip(a)]. 2873 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(972(a,1),2866(a,1,1)),flip(a)]. 2874 x * ((y \ 1) \ 1) != z * y | z * K(y \ 1,y) = x. [para(2869(a,1),25(a,1)),flip(a)]. 2876 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2263(a,2),2869(a,1,1))]. 2877 (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. [para(2809(a,1),2869(a,1,1))]. 2878 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [para(602(a,1),2870(a,1,1)),flip(a)]. 2879 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(23,a,465,a,b,2871,a)]. 2880 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2872(a,1),25(a,1)),flip(a)]. 2881 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2872(a,1),2831(a,1,1)),flip(a)]. 2882 x * ((y \ 1) \ 1) != z * y | K(y \ 1,y) * z = x. [para(2876(a,1),25(a,1)),flip(a)]. 2884 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(468,a,2879,a)]. 2885 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [hyper(80,a,2879,a(flip),b,634,a),flip(a)]. 2886 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(2385(a,2),2879(a,1,2))]. 2887 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(255,a,2812,a,b,2884,a)]. 2888 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(1248(a,2),2887(a,1,3))]. 2889 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(70(a,1),2856(a,1,2,1,1,2)),flip(a)]. 2891 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2392(a,1),2881(a,1,1)),flip(a)]. 2892 a(x,y \ 1,(y \ 1) \ 1) = a(x,1 / y,y). [hyper(255,a,2816,a(flip),b,2885,a)]. 2893 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1197(a,1),2832(a,2,1))]. 2894 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(2500(a,1),2793(a,1,2))]. 2895 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2489(a,1),2894(a,2,2))]. 2896 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2492(a,1),2894(a,2,2))]. 2898 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2249,a,2895,a)]. 2899 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(308,a,2895,a),flip(a)]. 2900 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(255,a,2108,a,b,2895,a(flip)),flip(a)]. 2901 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(127(a,1),2895(a,1,1))]. 2903 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(2249,a,2896,a)]. 2904 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(308,a,2896,a),flip(a)]. 2905 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) = y. [hyper(80,a,2896,a(flip),b,2108,a)]. 2906 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [hyper(2607,a,2898,a)]. 2907 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2228(a,1),2899(a,1,2))]. 2908 (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(81,a,2297,a(flip),b,2900,a),flip(a)]. 2909 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(81,a,314,a(flip),b,2900,a),flip(a)]. 2910 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(23,a,2877,a(flip),b,2900,a)]. 2911 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(23,a,2876,a(flip),b,2900,a)]. 2912 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(23,a,2869,a(flip),b,2900,a)]. 2913 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2882,a,2900,a(flip))]. 2914 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(2874,a,2900,a(flip))]. 2915 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(2830,a,2911,a),flip(a)]. 2916 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(2249,a,2911,a)]. 2917 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(23,a,2377,a(flip),b,2911,a)]. 2918 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(23,a,2247,a(flip),b,2911,a)]. 2919 K(x,x \ 1) \ y = K(x \ 1,x) * y. [hyper(80,a,2911,a(flip),b,2247,a)]. 2920 ((x \ 1) * (x * y)) * K(x,x \ 1) = L(y,x,x \ 1). [para(433(a,1),2911(a,1,1))]. 2921 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2911(a,1),2252(a,2))]. 2922 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [para(2833(a,1),2911(a,1,1))]. 2923 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [hyper(2830,a,2912,a),flip(a)]. 2924 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2249,a,2912,a)]. 2925 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(308,a,2912,a),flip(a)]. 2926 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(261,a,2912,a)]. 2927 (x / (1 / (1 / y))) * K(y \ 1,y) = x / y. [hyper(23,a,2829,a,b,2912,a)]. 2928 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(23,a,2247,a(flip),b,2912,a)]. 2929 K(x,x \ 1) \ y = y * K(x \ 1,x). [hyper(80,a,2912,a(flip),b,2247,a)]. 2930 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(2912(a,1),2252(a,2))]. 2931 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2913(a,1),24(a,1)),flip(a)]. 2932 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2913(a,1),114(a,2,1))]. 2933 R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)). [para(2914(a,1),123(a,2,1))]. 2934 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(310,a,2916,a),flip(a)]. 2936 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2821(a,1),2916(a,1,2))]. 2937 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2833(a,1),2916(a,1,2))]. 2938 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2918(a,1),24(a,1)),flip(a)]. 2939 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2918(a,1),2266(a,1)),flip(a),flip(b)]. 2941 L(x \ (y * K(z \ 1,z)),x,K(z,z \ 1)) = (K(z,z \ 1) * x) \ y. [para(2924(a,1),114(a,2,2))]. 2942 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(255,a,2806,a,b,2925,a(flip)),flip(a)]. 2943 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2928(a,1),123(a,2,1))]. 2944 K(x * y,(x * y) \ 1) * ((((x * y) \ 1) * x) * y) = a((x * y) \ 1,x,y). [hyper(912,a,2934,a),flip(a)]. 2945 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. [para(2934(a,1),2588(a,1,2,1))]. 2946 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2934(a,1),2727(a,1,2,1))]. 2947 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2934(a,1),2728(a,1,2,1))]. 2948 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [hyper(2607,a,2903,a)]. 2949 L(x,K(x,x \ 1),y) = x. [hyper(1468,a,2905,a)]. 2950 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1529(a,1),2949(a,1,2))]. 2951 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(2910(a,1),457(a,1,1))]. 2952 (x / (1 / (1 / y))) / (1 / y) = (x / y) / (y \ 1). [hyper(81,a,2927,a(flip),b,2820,a),flip(a)]. 2953 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2230(a,1),2937(a,1,2,2))]. 2954 K(x / (y * x),y) = K(y \ 1,y). [hyper(23,a,2399,a,b,2917,a),flip(a)]. 2955 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(21(a,1),2954(a,1,1,2)),flip(a)]. 2957 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(20(a,1),2955(a,2,1))]. 2958 K(x,T(x,y) \ 1) = K(x,x \ 1). [hyper(22,a,2352,a,b,2908,a),flip(a)]. 2959 T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). [hyper(255,a,2243,a,b,2958,a),flip(a)]. 2961 T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). [para(2776(a,1),2959(a,1,1))]. 2963 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2803(a,1),2791(a,1,2)),flip(a)]. 2964 (x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)). [para(2230(a,1),2853(a,1,1,2))]. 2965 K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)). [hyper(255,a,2780,a,b,2961,a(flip))]. 2966 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. [para(127(a,1),2964(a,1,1)),flip(a)]. 2967 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). [para(2966(a,1),73(a,1,1))]. 2968 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. [para(70(a,1),2967(a,1,1,1,1,2)),flip(a)]. 2969 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [para(2968(a,1),73(a,1,1))]. 2971 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). [hyper(255,a,2958,a(flip),b,2965,a(flip)),flip(a)]. 2972 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [para(199(a,1),2971(a,2,2))]. 2973 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(255,a,2776,a(flip),b,2972,a(flip)),flip(a)]. 2974 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(939(a,1),2852(a,1,1))]. 2975 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(255,a,784,a(flip),b,2974,a(flip))]. 2976 T(K(1 / (1 / x),y),x) = K(x,y). [para(2975(a,2),166(a,1,1))]. 2977 T(K(1 / x,y),x \ 1) = K(x \ 1,y). [para(70(a,1),2976(a,1,1,1,2))]. 2978 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(199(a,1),2976(a,1,1,1,2))]. 2979 K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). [para(2977(a,1),1801(a,1,2)),flip(a)]. 2980 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(70(a,1),2978(a,1,1,1))]. 2981 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(255,a,1799,a(flip),b,2980,a(flip))]. 2982 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(70(a,1),2888(a,2,2))]. 2983 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(128(a,2),2982(a,1,2))]. 2985 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2776(a,1),2901(a,1,2))]. 2986 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(255,a,2231,a(flip),b,2985,a)]. 2987 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(2973(a,1),2986(a,1,2))]. 2989 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y). [para(200(a,1),2907(a,1,1)),flip(a)]. 2990 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2903(a,1),2946(a,1,2,1))]. 2991 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(2903(a,1),2947(a,1,2,1))]. 2992 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2904(a,1),2991(a,1,2,1))]. 2993 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = x * ((x \ 1) * L(x,y,z)). [para(1850(a,1),2867(a,2,2))]. 2994 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = L(L(x,y,z),x \ 1,x). [hyper(255,a,190,a(flip),b,2993,a)]. 2995 L(x,y,z) * ((L(x,y,z) \ (L(x,y,z) / x)) * x) = L(1 / (1 / x),y,z). [hyper(255,a,1497,a(flip),b,2994,a)]. 2996 L(x,y,z) * (T(1 / x,L(x,y,z)) * x) = L(1 / (1 / x),y,z). [para(1042(a,1),2995(a,1,2,1))]. 2997 L(x,y,z) * (x * T(x \ 1,L(x,y,z))) = L(1 / (1 / x),y,z). [para(396(a,1),2996(a,1,2))]. 2999 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y). [para(2228(a,1),2989(a,2,2,1))]. 3000 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(255,a,182,a(flip),b,2999,a)]. 3001 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(1529(a,1),2953(a,1,1))]. 3002 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1117(a,1),2802(a,2,1))]. 3003 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(255,a,2544,a(flip),b,3002,a)]. 3004 T(K(x \ 1,x),((y * x) / y) \ x) = K(x \ (((y * x) / y) \ x),x). [para(19(a,1),2313(a,1,1))]. 3005 K(x \ (((y * x) / y) \ x),x) = K(x \ 1,x). [hyper(255,a,2258,a(flip),b,3004,a(flip))]. 3008 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2910(a,1),2951(a,1,2)),flip(a)]. 3009 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(255,a,35,a,b,3008,a)]. 3010 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(3008(a,2),466(a,1))]. 3011 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,(z \ 1) \ 1)) = R(x,y,1 / (z \ 1)). [para(128(a,2),3009(a,1,2,2))]. 3012 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). [para(1451(a,1),3011(a,1,3))]. 3013 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). [para(70(a,1),3012(a,2,3))]. 3014 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2605(a,1),1641(a,1,2,2,2)),flip(a)]. 3015 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2950(a,1),3014(a,1,1)),flip(a)]. 3017 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2030(a,1),2160(a,1,2))]. 3018 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(710,a,3017,a),flip(a)]. 3019 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(255,a,2687,a(flip),b,3018,a(flip)),flip(a)]. 3020 K(x,y / (x * y)) = K(x,x \ 1). [hyper(255,a,2383,a(flip),b,3019,a(flip))]. 3022 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(255,a,2957,a,b,3020,a(flip)),flip(a)]. 3023 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(21(a,1),3020(a,1,2,2)),flip(a)]. 3024 K((x / y) \ 1,x / y) = K(y / x,(y / x) \ 1). [hyper(255,a,2955,a,b,3023,a),flip(a)]. 3026 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(3022(a,1),2384(a,1,1))]. 3027 K(x \ 1,x) * (T(x,x \ 1) * y) = x * y. [hyper(2921,a,3026,a)]. 3028 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2253,a,3026,a)]. 3029 T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. [hyper(533,a,3026,a)]. 3030 L(x,y,K(y,y \ 1)) = x. [hyper(1467,a,3026,a(flip))]. 3031 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(255,a,1823,a(flip),b,3026,a(flip)),flip(a)]. 3032 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(81,a,3026,a(flip),b,1823,a(flip))]. 3035 L(x,K(y,y \ 1),y) = x. [hyper(255,a,1830,a,b,3030,a(flip)),flip(a)]. 3036 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(255,a,2751,a(flip),b,3030,a(flip)),flip(a)]. 3037 L(x,K(y,y \ 1),1 / (1 / y)) = x. [hyper(255,a,1899,a(flip),b,3030,a(flip)),flip(a)]. 3038 L(x,K(y \ 1,y),1 / y) = x. [hyper(255,a,1832,a(flip),b,3030,a(flip)),flip(a)]. 3039 L(x,1 / y,K(1 / y,y)) = x. [para(73(a,1),3030(a,1,3,2))]. 3040 L(x,1 / y,K(y \ 1,y)) = x. [para(1529(a,1),3030(a,1,3))]. 3042 x * (((x \ 1) \ 1) \ y) = K(x,x \ 1) \ y. [hyper(255,a,1796,a(flip),b,3035,a(flip)),flip(a)]. 3043 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(2559,a,3038,a)]. 3044 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(2558,a,3038,a)]. 3046 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(80,a,3038,a(flip),b,2555,a(flip))]. 3047 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(3038(a,1),696(a,1,2)),flip(a)]. 3048 L(x,y,y \ 1) != z | (1 / y) * (y * x) = z. [para(3038(a,1),2559(a,1))]. 3049 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1534(a,1),3039(a,1,3))]. 3050 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(255,a,2098,a(flip),b,3040,a(flip)),flip(a)]. 3051 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(3040(a,1),1487(a,1,2)),flip(a)]. 3052 L(x \ y,x,x \ 1) = (1 / x) * y. [para(3040(a,1),1994(a,1,1,2))]. 3053 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [hyper(651,a,3044,a),flip(a)]. 3055 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(70(a,1),3044(a,1,3)),flip(a)]. 3056 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(3044(a,1),689(a,2,1))]. 3058 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [para(3037(a,1),1469(a,1,2)),flip(a)]. 3060 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(190(a,1),3043(a,1,2)),flip(a)]. 3061 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(3043(a,1),268(a,1,1))]. 3062 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(3043(a,1),2969(a,1,1,1,1))]. 3063 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(3049(a,1),1507(a,1,2)),flip(a)]. 3064 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [hyper(255,a,140,a(flip),b,3052,a)]. 3065 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(3052(a,1),2620(a,1,2))]. 3066 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(70(a,1),3065(a,1,2,1)),flip(a)]. 3067 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(1408,a,3027,a),flip(a)]. 3068 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [para(128(a,1),3027(a,1,2,1))]. 3069 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(255,a,273,a(flip),b,3028,a)]. 3070 x * (y * K(x,x \ 1)) = T(x,x \ 1) * y. [hyper(255,a,2599,a(flip),b,3028,a(flip)),flip(a)]. 3072 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2924(a,1),3029(a,1,2)),flip(a)]. 3074 R(x,K(x,x \ 1),y) = x. [hyper(1528,a,3032,a)]. 3075 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1529(a,1),3074(a,1,2))]. 3076 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(3075(a,1),2670(a,1,1)),flip(a)]. 3077 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [hyper(2930,a,3036,a)]. 3078 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(2921,a,3036,a)]. 3080 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(3036(a,1),2906(a,1,1)),flip(a)]. 3082 x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x). [hyper(255,a,2929,a(flip),b,3042,a)]. 3083 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(80,a,2919,a(flip),b,3042,a)]. 3084 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [hyper(255,a,2281,a(flip),b,3047,a(flip)),flip(a)]. 3086 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). [para(2833(a,1),3047(a,1,2))]. 3087 (x \ 1) * (y * T(x,x \ 1)) = (1 / x) * (y * x). [para(2878(a,1),3047(a,1,2)),flip(a)]. 3088 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2918(a,1),3047(a,1,2)),flip(a)]. 3090 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2938,a,3050,a)]. 3091 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(2931,a,3050,a)]. 3092 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(2267,a,3050,a)]. 3094 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(3050(a,1),2096(a,1,2))]. 3096 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2938,a,3051,a)]. 3097 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(2931,a,3051,a)]. 3098 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(2267,a,3051,a)]. 3099 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(3051(a,1),35(a,2,2)),flip(a)]. 3100 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(3051(a,1),484(a,1,1))]. 3101 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(3051(a,1),424(a,1,1))]. 3103 ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. [para(3051(a,1),2876(a,1,1))]. 3104 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(80,a,19,a(flip),b,3058,a),flip(a)]. 3105 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [para(2916(a,1),3058(a,1,2)),flip(a)]. 3106 x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. [para(2924(a,1),3058(a,1,2)),flip(a)]. 3107 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(2930,a,3063,a)]. 3108 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(263(a,1),3063(a,1,2))]. 3109 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(255,a,273,a(flip),b,3067,a(flip)),flip(a)]. 3110 (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). [para(3067(a,1),598(a,1,1))]. 3111 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x. [para(3068(a,1),2266(a,1)),flip(a),flip(b)]. 3112 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(22,a,2987,a,b,3069,a),flip(a)]. 3113 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [hyper(255,a,2599,a(flip),b,3069,a(flip)),flip(a)]. 3116 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(255,a,2972,a,b,3112,a(flip)),flip(a)]. 3120 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(80,a,3116,a(flip),b,1448,a(flip))]. 3123 (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). [para(3116(a,1),2910(a,1,2))]. 3124 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(3116(a,1),3000(a,1,2))]. 3125 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1460,a,3120,a)]. 3126 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(255,a,2246,a(flip),b,3120,a(flip)),flip(a)]. 3127 (1 / T(x,y)) * x = T(x,y) \ x. [para(3126(a,1),21(a,1,1))]. 3128 x / T(x,y) = T(x,y) \ x. [hyper(1350,a,3127,a)]. 3129 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(172,a,3127,a,b,1083,a)]. 3132 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(255,a,2020,a,b,3128,a(flip)),flip(a)]. 3133 (T(x,y) \ x) * T(x,y) = x. [para(3128(a,1),21(a,1,1))]. 3134 (T(x,y) \ x) \ x = T(x,y). [para(3128(a,1),73(a,1,1))]. 3135 L(x,T(x,y) \ x,x) = x. [hyper(255,a,2452,a,b,3133,a(flip)),flip(a)]. 3137 (x * y) * T(K(y,x),x) = y * x. [para(3135(a,1),2451(a,1,2)),flip(a)]. 3138 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(255,a,2291,a,b,3129,a(flip)),flip(a)]. 3139 T(K(x,y),y) = K(x,y). [hyper(265,a,3137,a),flip(a)]. 3140 T(x,K(y,x)) = x. [hyper(40,a,3139,a)]. 3141 K(x,y) * y = y * K(x,y). [para(3139(a,1),127(a,1,2)),flip(a)]. 3142 (x * K(y,x)) / x = K(y,x). [para(3139(a,1),167(a,1,1,2))]. 3143 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(3139(a,1),183(a,1,2,1)),flip(a)]. 3144 T(T(x,y),K(z,x)) = T(x,y). [para(3140(a,1),43(a,1,1)),flip(a)]. 3145 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(3140(a,1),183(a,1,2,1)),flip(a)]. 3146 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(3140(a,1),184(a,1,2,1)),flip(a)]. 3147 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(3140(a,1),361(a,1,2,1))]. 3148 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(3140(a,1),395(a,1,2,1,1)),flip(a)]. 3149 R(T(x,y),z,u) * K(w,x) = K(w,x) * R(T(x,y),z,u). [para(3140(a,1),576(a,1,2,1,1)),flip(a)]. 3150 T(x,y * T(y \ 1,x)) = x. [para(1200(a,1),3140(a,1,2))]. 3151 T(x,y \ T(y,x)) = x. [para(1204(a,1),3140(a,1,2))]. 3152 T(x,x \ ((y * x) / y)) = x. [para(1575(a,1),3140(a,1,2))]. 3153 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(3140(a,1),2645(a,1,1,1)),flip(a)]. 3154 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(3151(a,1),127(a,1,2))]. 3155 (x \ T(x,y)) * T(y,z) != u | T(y,z) * (x \ T(x,y)) = u. [para(3151(a,1),361(a,1,2,1))]. 3156 (x * K(y,x)) * L(z,x,K(y,x)) = K(y,x) * (x * z). [para(3141(a,1),112(a,1,1))]. 3157 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(3141(a,1),122(a,1,2))]. 3159 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(3141(a,1),454(a,2,2))]. 3160 ((x * K(y,z)) * z) / (z * K(y,z)) != u | R(x,K(y,z),z) = u. [para(3141(a,1),466(a,1,2))]. 3161 L(K(x,y),y,1 / y) = K(x,y). [hyper(255,a,2577,a,b,3142,a(flip)),flip(a)]. 3162 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(255,a,1376,a,b,3142,a(flip)),flip(a)]. 3163 R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). [para(3142(a,1),450(a,1,1,1))]. 3164 T(K(x,y),T(y,z)) = K(x,y). [hyper(40,a,3144,a)]. 3165 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(3144(a,1),361(a,1,2,1))]. 3166 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(40,a,3150,a)]. 3167 ((x * y) / x) / y = y \ ((x * y) / x). [para(3152(a,1),199(a,1,2))]. 3168 K(K(x,y),T(y,z)) = 1. [hyper(41,a,3164,a)]. 3169 K(x \ T(x,y),T(y,z)) = 1. [para(1204(a,1),3168(a,1,1))]. 3170 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(42,a,3169,a)]. 3171 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(366,a,3161,a)]. 3172 (1 / x) \ K(y,x) = x * K(y,x). [hyper(80,a,3161,a(flip),b,192,a)]. 3174 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(80,a,3171,a(flip),b,140,a(flip)),flip(a)]. 3175 K(x \ 1,x) * K(y,x) = (x \ 1) * (x * K(y,x)). [para(3171(a,1),3051(a,1,2))]. 3177 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [para(3138(a,1),21(a,1,1))]. 3178 x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x). [para(3154(a,1),1101(a,1,2,2))]. 3179 x * (((y * x) / y) / x) = (y * x) / y. [para(3167(a,2),19(a,1,2))]. 3180 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(787(a,1),3167(a,1,1)),flip(a)]. 3181 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(315,a,3177,a)]. 3182 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [para(3177(a,1),687(a,1,2))]. 3184 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1624(a,1),3179(a,1,2))]. 3186 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [hyper(255,a,2803,a,b,3181,a(flip)),flip(a)]. 3187 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(255,a,3003,a(flip),b,3181,a(flip))]. 3188 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3181(a,1),2234(a,1,2))]. 3189 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(3181(a,1),2915(a,1,1))]. 3190 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3181(a,1),2963(a,2,2))]. 3191 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(3181(a,1),3001(a,1,1))]. 3192 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [para(564(a,1),3070(a,2,1))]. 3193 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [para(18(a,1),3077(a,1,1)),flip(a)]. 3194 (x \ y) * K(x \ 1,(x \ 1) \ 1) = ((x \ 1) \ 1) \ y. [para(1451(a,2),3077(a,1,2))]. 3195 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(255,a,956,a(flip),b,3078,a(flip)),flip(a)]. 3196 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(3078(a,1),2267(a,1))]. 3197 K(x \ 1,x) * (T(x,y) \ z) = ((T(x,y) \ 1) \ 1) \ z. [para(3181(a,1),3078(a,1,1))]. 3198 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) \ x = z. [para(3082(a,1),24(a,1))]. 3199 L(x,((y \ 1) \ 1) \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(383(a,1),3082(a,1,2)),flip(a)]. 3200 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1524(a,1),3083(a,1,2,1))]. 3201 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [para(3050(a,1),3083(a,1,2)),flip(a)]. 3202 T((x \ 1) * y,K(z \ 1,z)) = (1 / x) * (y * K(x \ 1,x)). [hyper(255,a,2256,a,b,3084,a),flip(a)]. 3203 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(2015,a,3088,a),flip(a)]. 3204 L(K(x,x \ 1) * y,x \ 1,x) = x * ((1 / x) * y). [para(3088(a,1),190(a,1,2)),flip(a)]. 3205 ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). [hyper(255,a,3172,a(flip),b,3092,a)]. 3206 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(255,a,2263,a(flip),b,3094,a)]. 3207 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1334(a,1),3094(a,1,2)),flip(a)]. 3208 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(1828,a,3096,a)]. 3209 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(3096(a,1),143(a,1,1,2))]. 3210 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3096(a,1),431(a,1,2,2))]. 3211 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1016,a,3208,a)]. 3212 L(x,T(y,y \ z) \ 1,T(y,y \ z)) = L(x,1 / T(y,y \ z),(y \ z) \ z). [hyper(255,a,1978,a(flip),b,3211,a(flip))]. 3213 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(70(a,1),3211(a,1,2)),flip(a)]. 3214 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,1 / T(y,y \ z),(y \ z) \ z). [para(601(a,2),3211(a,1,2)),flip(a)]. 3215 ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). [hyper(81,a,3097,a(flip),b,2942,a)]. 3216 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [hyper(2921,a,3104,a)]. 3217 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(3104(a,1),2906(a,1,1))]. 3218 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(1409,a,3105,a),flip(a)]. 3219 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(3181(a,1),3105(a,1,2,1))]. 3220 (1 / (1 / x)) * (y / (1 / (1 / x))) = x * (y / x). [para(2927(a,1),3106(a,1,2)),flip(a)]. 3221 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2789(a,1),3107(a,1,2))]. 3222 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(3107(a,1),2831(a,1,1))]. 3223 T(x,L(K(y,x),z,u)) = x. [hyper(173,a,3143,a)]. 3225 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(3146(a,1),24(a,1)),flip(a)]. 3227 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(3166(a,1),1413(a,1,2)),flip(a)]. 3228 (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). [hyper(2770,a,3174,a)]. 3229 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(3182(a,2),1083(a,1,2))]. 3232 x * (T(x,y) / x) = T(x,y). [hyper(23,a,2023,a,b,3188,a),flip(a)]. 3234 T(x,y) / x = x \ T(x,y). [hyper(87,a,3232,a),flip(a)]. 3236 (x \ T(x,y)) * x = T(x,y). [para(3232(a,1),75(a,1,1,2))]. 3237 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(1862,a,3234,a),flip(a)]. 3238 (1 / x) * T(x,y) = x \ T(x,y). [hyper(1371,a,3234,a)]. 3239 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(943,a,3234,a)]. 3240 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(874,a,3234,a),flip(a)]. 3241 (x \ T(x,y)) * x != z | T(x,y) = z. [para(3234(a,1),226(a,1,1)),flip(b)]. 3242 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(3234(a,1),123(a,1,1))]. 3243 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(3234(a,1),474(a,1,1))]. 3246 (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. [para(3234(a,1),2204(a,1,1))]. 3247 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3234(a,1),2586(a,1,1,2))]. 3248 T(x,x \ T(x,y)) = x. [hyper(286,a,3236,a)]. 3249 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(255,a,1597,a,b,3236,a(flip)),flip(a)]. 3250 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3236(a,1),33(a,2,1)),flip(a)]. 3251 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(128(a,1),3236(a,1,1,2))]. 3252 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(3236(a,1),112(a,1,1))]. 3253 R(x,y \ T(y,z),y) * T(y,z) = (x * (y \ T(y,z))) * y. [para(3236(a,1),122(a,1,2))]. 3254 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(3236(a,1),466(a,1,1,1))]. 3255 T(x,y) = K(y \ (y / (x \ 1)),y) * x. [para(1204(a,2),3236(a,1,1)),flip(a)]. 3256 L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). [para(3236(a,1),864(a,1,1)),flip(a)]. 3257 K(x,x \ T(x,y)) = 1. [hyper(41,a,3248,a)]. 3258 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1204(a,2),3248(a,1,2))]. 3259 K(x,T(x,y) / x) = 1. [para(3234(a,2),3257(a,1,2))]. 3260 T(1 / x,T(x,y)) = x \ 1. [hyper(80,a,3259,a(flip),b,1135,a),flip(a)]. 3261 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(255,a,73,a(flip),b,3260,a)]. 3262 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(255,a,1863,a(flip),b,3260,a(flip)),flip(a)]. 3263 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3260(a,1),185(a,1,1)),flip(a)]. 3264 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3260(a,1),352(a,2,1))]. 3265 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3260(a,1),1206(a,1,1)),flip(a)]. 3266 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(255,a,1289,a(flip),b,3258,a(flip)),flip(a)]. 3267 T(x,T(1 / x,y)) = T(x,x \ 1). [para(3261(a,1),1440(a,1,1)),flip(a)]. 3271 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3267(a,1),1898(a,1,1))]. 3273 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,K(x \ (x / (y \ 1)),x) * y). [para(3255(a,2),566(a,1,2,2))]. 3275 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(3266(a,1),19(a,1,2))]. 3276 x / ((y * x) / y) = ((y * x) / y) \ x. [para(3266(a,1),70(a,1,2))]. 3277 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1159(a,1),3266(a,1,1,1,1))]. 3279 (((x * y) / x) \ y) / y = 1 / ((x * y) / x). [hyper(81,a,3276,a(flip),b,1628,a)]. 3280 T(x,x / (y * x)) = T(x,x / (x * y)). [para(163(a,1),3249(a,1,2))]. 3283 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(167(a,1),3262(a,1,3,2))]. 3284 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2396(a,1),3195(a,1,2))]. 3285 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(447,a,3213,a),flip(a)]. 3286 K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). [para(2746(a,1),3216(a,1,2))]. 3287 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(255,a,2915,a(flip),b,3218,a)]. 3289 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3240(a,1),666(a,2,1)),flip(a)]. 3290 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(3240(a,1),2709(a,1,1))]. 3292 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3263(a,1),3265(a,1,2)),flip(a)]. 3293 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(255,a,289,a(flip),b,3292,a)]. 3296 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3293(a,1),1015(a,1,1,2))]. 3297 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(3056(a,1),3275(a,1,1,1,1))]. 3298 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3237(a,1),2708(a,1,2)),flip(a)]. 3299 T(x,y \ ((x * y) / x)) = x. [para(3237(a,1),3248(a,1,2))]. 3300 T(x,T(y,x) \ y) = x. [para(167(a,1),3299(a,1,2,2))]. 3301 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(3300(a,1),127(a,1,2))]. 3303 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(255,a,1861,a,b,3301,a(flip)),flip(a)]. 3304 x \ ((x * (T(y,x) \ y)) \ x) = ((T(y,x) \ y) * x) \ 1. [para(3301(a,1),2002(a,1,2,1))]. 3305 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3301(a,1),2162(a,1,1,2,1))]. 3306 L(x,x \ T(x,y),x) = x. [hyper(255,a,70,a(flip),b,3256,a)]. 3308 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(3193(a,1),3285(a,1,1))]. 3309 K(1 / x,y) = K(x \ 1,y). [hyper(255,a,2850,a(flip),b,3289,a(flip)),flip(a)]. 3310 K(1 / (1 / x),y) = K(x,y). [hyper(255,a,616,a(flip),b,3309,a)]. 3311 K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [hyper(255,a,1002,a(flip),b,3309,a(flip))]. 3312 K((x \ 1) \ 1,y) = K(x,y). [para(70(a,1),3309(a,1,1)),flip(a)]. 3314 K(T(1 / x,y) \ 1,z) = K(T(x \ 1,y) \ 1,z). [para(2226(a,1),3309(a,1,1))]. 3315 T(K(x,y),x) = K(x,y). [para(3310(a,1),2976(a,1,1))]. 3316 T(x,K(x,y)) = x. [hyper(40,a,3315,a)]. 3317 K(T(x,x \ 1),y) = K(x,y). [hyper(255,a,2981,a,b,3315,a(flip)),flip(a)]. 3318 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(255,a,2677,a,b,3315,a(flip)),flip(a)]. 3319 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3315(a,1),184(a,1,2,1)),flip(a)]. 3321 T(T(x,y),K(x,z)) = T(x,y). [para(3316(a,1),43(a,1,1)),flip(a)]. 3322 K(x,y) * x != z | x * K(x,y) = z. [para(3316(a,1),225(a,1,2))]. 3323 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3316(a,1),182(a,1,2,1)),flip(a)]. 3324 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3316(a,1),183(a,1,2,1)),flip(a)]. 3325 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3316(a,1),184(a,1,2,1)),flip(a)]. 3326 T((x * y) / x,K(y,z)) = (x * y) / x. [para(3316(a,1),404(a,1,1,2)),flip(a)]. 3327 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(3316(a,1),362(a,1,2,1))]. 3330 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(2969(a,1),3312(a,1,1)),flip(a)]. 3332 T(K(x,y),T(x,z)) = K(x,y). [hyper(40,a,3321,a)]. 3335 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3332(a,1),225(a,1,2))]. 3336 T(K(x,y),(z * x) / z) = K(x,y). [hyper(40,a,3326,a)]. 3337 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(747,a,3319,a),flip(a)]. 3338 T(x,R(K(x,y),z,u)) = x. [hyper(173,a,3319,a)]. 3339 K(x,R(K(x,y),z,u)) = 1. [hyper(41,a,3338,a)]. 3340 R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). [para(3338(a,1),183(a,1,2,1))]. 3341 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(173,a,3325,a)]. 3342 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(255,a,3187,a(flip),b,3024,a(flip))]. 3343 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(255,a,3186,a(flip),b,3342,a)]. 3344 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(3342(a,2),2791(a,1,2))]. 3345 T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). [hyper(255,a,2256,a,b,3086,a),flip(a)]. 3346 ((1 / x) * (y / (1 / x))) \ y = K(y / (x \ 1),x \ 1). [para(3086(a,2),108(a,1,1))]. 3347 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [hyper(81,a,2572,a(flip),b,3103,a(flip)),flip(a)]. 3348 T(x \ 1,T(x,y) \ x) = x \ 1. [para(3132(a,1),2341(a,1,2))]. 3349 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3132(a,1),2817(a,1,1,2)),flip(a)]. 3350 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(40,a,3348,a)]. 3351 (T(x,y) \ x) * (x \ 1) = (x \ 1) * (T(x,y) \ x). [para(3348(a,1),127(a,1,2))]. 3352 (K(x,y) \ y) * K(x,y) = y. [hyper(22,a,104,a(flip),b,3153,a)]. 3353 x / K(y,x) = K(y,x) \ x. [hyper(96,a,3352,a)]. 3355 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(23,a,2891,a,b,3222,a)]. 3356 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(263(a,1),3222(a,1,1)),flip(a)]. 3357 L(x,y,z) * (T(x,u) * T(T(x,u) \ 1,L(x,y,z))) = T(x,u) * ((T(x,u) \ 1) * L(x,y,z)). [para(2681(a,1),3227(a,1,2,1)),flip(a)]. 3358 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(2630,a,3229,a)]. 3359 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(255,a,273,a(flip),b,3271,a(flip)),flip(a)]. 3360 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(22,a,3031,a,b,3271,a(flip)),flip(a)]. 3361 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3271(a,1),599(a,1,1))]. 3363 (x \ y) * K(x \ 1,x) = y * (((y \ (x \ y)) \ 1) \ 1). [hyper(255,a,3077,a,b,3284,a),flip(a)]. 3364 (((x \ 1) \ 1) \ y) / y = (((x \ y) / y) \ 1) \ 1. [hyper(81,a,3284,a(flip),b,2238,a)]. 3365 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(73(a,1),3284(a,1,2,1,1,2)),flip(a)]. 3366 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(149(a,1),3284(a,1,2,1,1,2))]. 3367 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(37(a,2),3287(a,1,2))]. 3368 T(x,1 / (1 / y)) = T(x,y). [hyper(358,a,3367,a),flip(a)]. 3370 T(x,1 / y) = T(x,y \ 1). [para(70(a,1),3368(a,1,2,2))]. 3371 T(x,(y \ 1) \ 1) = T(x,y). [para(145(a,1),3368(a,1,2)),flip(a)]. 3373 T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). [hyper(255,a,715,a(flip),b,3370,a(flip))]. 3374 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(3370(a,1),127(a,1,2))]. 3376 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). [para(3371(a,1),127(a,1,2))]. 3377 T(x,T(y,y \ 1)) = T(x,y). [para(128(a,2),3371(a,1,2))]. 3378 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(1248(a,2),3371(a,1,2))]. 3380 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(2396(a,2),3371(a,1,2))]. 3385 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(3377(a,1),127(a,1,2))]. 3386 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [para(3377(a,1),595(a,1,2))]. 3387 (1 / x) * T(y,x \ 1) = y * (1 \ (1 / x)). [para(59(a,2),3374(a,2,2))]. 3388 (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(3386(a,2),499(a,2,1))]. 3389 T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(3203(a,1),3373(a,1,1,1))]. 3390 T(x \ 1,y) \ (x \ 1) = x \ (T(1 / x,y) \ 1). [hyper(255,a,2717,a(flip),b,3290,a(flip))]. 3391 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1062(a,2),3290(a,1,1)),flip(a)]. 3392 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1555(a,1),3290(a,1,1)),flip(a)]. 3393 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(3343(a,1),1456(a,1,1))]. 3394 (T(x,y) \ x) * (x \ 1) = T(x,y) \ 1. [hyper(255,a,2704,a(flip),b,3351,a)]. 3395 T(1 / (1 / x),y / (y * x)) = x. [hyper(172,a,3355,a,b,xx)]. 3397 T(1 / (1 / x),(y / x) / y) = x. [para(21(a,1),3395(a,1,2,2))]. 3398 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(3397(a,1),168(a,1,2,2))]. 3399 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(3358(a,1),3084(a,1,2)),flip(a)]. 3400 ((((1 / x) \ y) / y) \ 1) \ 1 = ((x \ 1) \ y) / y. [para(73(a,1),3364(a,1,1,1,1)),flip(a)]. 3401 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(3365(a,1),70(a,1,2))]. 3402 (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. [para(2104(a,2),3398(a,1,2))]. 3403 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(18(a,1),3401(a,1,2,2,1,1))]. 3404 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2238(a,2),3401(a,1,2))]. 3405 T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). [hyper(255,a,2529,a,b,3403,a),flip(a)]. 3406 x / (x * T(y,y \ 1)) = T(x / (x * y),y). [para(128(a,2),3405(a,2,2,2)),flip(a)]. 3407 T(x / (x * y),y) \ x = x * T(y,y \ 1). [para(3406(a,1),73(a,1,1))]. 3408 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [para(20(a,1),3404(a,1,2,1,1,1))]. 3409 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [hyper(3111,a,3205,a)]. 3410 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(255,a,3113,a,b,3409,a(flip)),flip(a)]. 3412 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(255,a,2720,a(flip),b,3298,a)]. 3413 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(80,a,3412,a(flip),b,1083,a),flip(a)]. 3414 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(167(a,1),3412(a,2,1))]. 3415 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(3206(a,2),3308(a,1,1))]. 3416 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(3413(a,1),2241(a,1,2))]. 3417 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(167(a,1),3416(a,1,2,2,1))]. 3418 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(954(a,1),3417(a,1,2,2,2))]. 3419 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. [hyper(81,a,3414,a(flip),b,3127,a),flip(a)]. 3420 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3303(a,1),3414(a,1,1))]. 3421 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(3420(a,1),70(a,1,2))]. 3422 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(954(a,1),3421(a,1,2,2))]. 3423 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3060(a,2),2324(a,1,1))]. 3424 (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). [para(1111(a,1),3123(a,1,1))]. 3425 (R(T(x,y),z,u) * K(w,x)) * v5 = (K(w,x) * R(T(x,y),z,u)) * v5. [hyper(27,a,3149,a)]. 3427 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2230(a,1),3189(a,2,2))]. 3429 K(x \ 1,x) * (T(x,y) \ z) = T((x \ 1) \ 1,y) \ z. [para(2228(a,1),3197(a,2,1))]. 3430 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(2230(a,1),3219(a,2,1))]. 3431 x \ ((x * (T(y,x) \ y)) \ x) = (x * (T(y,x) \ y)) \ 1. [para(3301(a,1),3304(a,2,1))]. 3432 K(x / (y \ 1),y \ 1) != z | K(x / (1 / y),1 / y) = z. [para(3346(a,1),509(a,1))]. 3433 K(((x \ y) \ y) \ 1,(x \ y) \ y) = K(x \ 1,x). [hyper(22,a,2511,a,b,3363,a),flip(a)]. 3434 K(x \ 1,x) * (y * T((x \ z) \ z,u)) = y * (1 / (1 / T((x \ z) \ z,u))). [para(3433(a,1),3189(a,1,1))]. 3435 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(255,a,2917,a(flip),b,3393,a(flip)),flip(a)]. 3436 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(255,a,3408,a,b,3435,a)]. 3437 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(122(a,1),3435(a,2,1,1,2))]. 3438 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(3435(a,2),3371(a,1,2))]. 3439 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(255,a,160,a,b,3436,a),flip(a)]. 3440 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [para(3436(a,2),73(a,1,1))]. 3441 T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. [para(3436(a,2),129(a,1,1))]. 3442 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [para(128(a,2),3436(a,2,2,1)),flip(a)]. 3443 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(255,a,3280,a(flip),b,3438,a)]. 3444 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(163(a,2),3438(a,2,2)),flip(a)]. 3446 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(73(a,1),3440(a,1,1,1))]. 3447 (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). [hyper(255,a,1595,a,b,3444,a(flip)),flip(a)]. 3448 R(x,1 / x,y) \ y = (x \ 1) * y. [para(73(a,1),3446(a,2,1,1))]. 3449 R(x,1 / x,y) = y / ((x \ 1) * y). [para(3448(a,1),70(a,1,2)),flip(a)]. 3450 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(255,a,160,a,b,3449,a)]. 3451 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(3450(a,1),1496(a,1,1))]. 3452 x * ((x * (((x * y) * (x \ 1)) / (x * y))) * y) = T(x * y,R(x \ 1,x,x * y)). [hyper(255,a,2355,a(flip),b,3447,a(flip)),flip(a)]. 3453 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [para(3439(a,2),3447(a,2,2)),flip(a)]. 3454 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3399(a,1),2050(a,1,1)),flip(a)]. 3455 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(128(a,1),3427(a,1,2,2))]. 3456 (T(x,y) \ z) * K(x \ 1,x) = T((x \ 1) \ 1,y) \ z. [hyper(2267,a,3429,a)]. 3457 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(80,a,19,a(flip),b,3430,a),flip(a)]. 3458 (x * (T(y,x) \ y)) \ 1 = x \ (y \ T(y,x)). [para(3420(a,1),3431(a,1,2)),flip(a)]. 3459 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2931,a,3457,a)]. 3460 T(x,y) \ z != K(x \ 1,x) * u | T(1 / (1 / x),y) \ z = u. [para(3457(a,1),24(a,1))]. 3461 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3457(a,1),3109(a,1,2))]. 3462 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1451(a,1),3459(a,1,2))]. 3463 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(3228(a,2),19(a,1,2))]. 3464 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3250(a,1),1101(a,1,2)),flip(a)]. 3465 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(19(a,1),3464(a,1,1)),flip(a)]. 3466 L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u. [para(3464(a,2),24(a,1))]. 3467 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(255,a,2324,a,b,3252,a(flip)),flip(a)]. 3468 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. [para(3303(a,1),3419(a,1,2))]. 3469 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. [para(3240(a,1),3468(a,2,1))]. 3470 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(255,a,1496,a(flip),b,3451,a(flip))]. 3471 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(255,a,350,a(flip),b,3470,a(flip))]. 3472 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). [para(3463(a,1),1382(a,1,1)),flip(a)]. 3473 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(3471(a,2),107(a,1,2,2))]. 3474 T((x \ 1) * y,K(z \ 1,z)) = y * ((x \ 1) * (x * T(x \ 1,y))). [hyper(255,a,3015,a,b,3202,a)]. 3475 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2507(a,1),3221(a,1,2))]. 3476 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3234(a,1),3247(a,2,2,1,2))]. 3477 K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). [para(2979(a,1),3286(a,1,2))]. 3478 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(255,a,3301,a(flip),b,3305,a)]. 3479 K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). [para(3370(a,1),3311(a,2,1,1))]. 3480 T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). [hyper(23,a,3028,a,b,3424,a)]. 3481 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(255,a,381,a(flip),b,3480,a(flip)),flip(a)]. 3483 (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). [hyper(255,a,3051,a(flip),b,3477,a(flip)),flip(a)]. 3484 (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). [para(3483(a,1),1928(a,1,1))]. 3485 (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(107(a,2),3484(a,1,1,2))]. 3486 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3420(a,1),3478(a,1,1,2))]. 3487 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(22,a,3476,a(flip),b,3486,a(flip)),flip(a)]. 3488 (x * (y \ T(y,x))) * (T(y,x) \ y) = x. [para(3487(a,1),19(a,1,2))]. 3489 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). [para(3163(a,2),957(a,1,1,2))]. 3490 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(396(a,1),3243(a,2,1))]. 3491 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2948(a,1),3389(a,1,1))]. 3492 R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. [hyper(255,a,47,a,b,3441,a(flip)),flip(a)]. 3493 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(1912(a,1),3453(a,2,1))]. 3494 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(3127(a,1),3454(a,1,1)),flip(a)]. 3495 R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(3066(a,1),3492(a,1,1))]. 3496 T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. [hyper(255,a,1060,a(flip),b,3495,a(flip)),flip(a)]. 3497 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). [para(128(a,2),3496(a,2,1,1)),flip(a)]. 3498 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. [para(3493(a,2),3322(a,1))]. 3499 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(3116(a,1),3124(a,1,2))]. 3502 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(3499(a,1),3192(a,1,2))]. 3503 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(73(a,1),3191(a,2,2))]. 3506 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(3503(a,1),3109(a,1,2))]. 3507 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3391(a,1),3283(a,1,3))]. 3508 T(x,K(y,x) \ 1) = x. [para(3391(a,1),3300(a,1,2))]. 3509 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3508(a,1),127(a,1,2))]. 3510 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3509(a,1),162(a,2,1)),flip(a)]. 3511 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(255,a,3507,a(flip),b,3510,a)]. 3513 (K(x,y) * R(T(y,z),u,w)) * v5 != R(T(y,z),u,w) * K(x,y) | 1 = v5. [para(3425(a,1),84(a,1))]. 3514 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(70(a,1),3462(a,2,1,1,2))]. 3515 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2939,a,3514,a)]. 3516 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(18(a,1),3515(a,1,2)),flip(a)]. 3517 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [para(3516(a,1),19(a,1,2))]. 3518 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2014(a,2),3517(a,1,2))]. 3519 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(3090(a,1),3517(a,1,2)),flip(a)]. 3520 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3519(a,1),1078(a,1,2))]. 3521 x \ T((y \ 1) * (x / (y \ 1)),K(z \ 1,z)) = K(1 / y,x / (y \ 1)). [para(3474(a,2),2851(a,1,2))]. 3522 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1451(a,1),3475(a,1,2))]. 3523 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2610(a,1),3100(a,1,2))]. 3524 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3523(a,1),1647(a,2,2,1,2)),flip(a)]. 3526 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(127(a,2),3337(a,2,1,1,1))]. 3527 T(x,x \ K(y,x)) = T(x,x \ 1). [para(3318(a,1),3418(a,1,2,2))]. 3528 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(3527(a,1),199(a,1,2))]. 3529 K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. [para(3528(a,1),2868(a,1,1)),flip(a)]. 3530 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(3528(a,1),2909(a,1,1))]. 3531 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(3530(a,1),2597(a,1,2)),flip(a)]. 3532 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(3531(a,1),3410(a,1,2))]. 3533 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(80,a,3532,a(flip),b,1079,a),flip(a)]. 3534 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(1081(a,1),3533(a,1,2))]. 3535 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(73(a,1),3502(a,1,2,1,1,1))]. 3536 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(22,a,3047,a,b,3535,a),flip(a)]. 3537 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(81,a,3520,a(flip),b,3535,a(flip))]. 3538 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3536(a,1),3109(a,1,2))]. 3539 x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). [para(3345(a,1),3521(a,1,2))]. 3540 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(3437(a,1),470(a,1,1))]. 3541 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(255,a,385,a,b,3356,a),flip(a)]. 3542 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * (1 / (T(x,z) \ 1)). [para(2225(a,1),3434(a,2,2,2))]. 3543 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [para(70(a,1),3542(a,2,2))]. 3545 (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(3539(a,1),3485(a,1,1,2))]. 3546 K(x \ 1,y / (1 / x)) = K(x \ 1,y / (x \ 1)). [hyper(255,a,3484,a(flip),b,3545,a(flip))]. 3547 K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). [para(20(a,1),3546(a,1,2)),flip(a)]. 3548 K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). [para(1369(a,1),3547(a,1,2))]. 3549 K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). [para(2942(a,1),3548(a,1,2))]. 3550 K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). [para(3069(a,1),3549(a,1,2))]. 3551 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(3200(a,1),3518(a,1,2))]. 3552 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(128(a,2),3551(a,1,2,1))]. 3553 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2841(a,1),3522(a,2,1))]. 3554 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3553(a,1),2893(a,1,1))]. 3555 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(255,a,3494,a(flip),b,3349,a)]. 3556 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(3132(a,1),3555(a,1,1))]. 3557 T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). [para(1970(a,1),3452(a,1,2)),flip(a)]. 3558 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(924(a,1),3554(a,2,1,2))]. 3559 K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). [para(2876(a,1),3110(a,1,2)),flip(a)]. 3560 K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x). [hyper(255,a,31,a,b,3559,a)]. 3561 K(K(x,x \ 1) * y,x) = K(y,(x \ 1) \ 1). [para(2918(a,1),3560(a,1,1)),flip(a)]. 3562 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x). [para(3078(a,1),3560(a,1,1))]. 3563 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(787(a,1),3180(a,1,2)),flip(a)]. 3564 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(255,a,1993,a(flip),b,3563,a(flip))]. 3565 L(x,y \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(3213(a,1),3199(a,1,1))]. 3566 L(x,y \ 1,y) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(3055(a,1),3565(a,1,1))]. 3567 ((x \ 1) \ 1) \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. [hyper(3198,a,3566,a)]. 3569 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3465(a,1),3467(a,1,1))]. 3570 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(255,a,186,a(flip),b,3569,a(flip)),flip(a)]. 3571 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(18(a,1),3570(a,1,1)),flip(a)]. 3572 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(80,a,3306,a(flip),b,3571,a)]. 3573 (x \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x). [para(1100(a,1),3571(a,1,2))]. 3574 L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). [para(3125(a,1),3571(a,1,2)),flip(a)]. 3575 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1923(a,1),3572(a,1,1,2)),flip(a)]. 3576 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3237(a,1),3572(a,1,1)),flip(a)]. 3577 T(x,T(y,x)) * (y \ T(y,x)) = L(x,y \ T(y,x),y). [hyper(3155,a,3573,a)]. 3578 L(1 / x,x \ T(x,y),x) = 1 / x. [hyper(255,a,3246,a(flip),b,3574,a)]. 3580 x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). [para(3578(a,1),565(a,2,1))]. 3581 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3412(a,1),3576(a,1,2)),flip(a)]. 3582 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(167(a,1),3581(a,1,1,2)),flip(a)]. 3583 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(167(a,1),3582(a,1,2,1)),flip(a)]. 3584 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(3583(a,1),19(a,1,2))]. 3585 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(18(a,1),3575(a,2,1))]. 3587 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2722(a,1),3585(a,1,2))]. 3588 x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). [para(19(a,1),3580(a,1,2,2,2))]. 3590 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). [para(3260(a,1),3588(a,1,2,2)),flip(a)]. 3591 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). [para(1240(a,1),3590(a,2,2))]. 3593 (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). [hyper(255,a,190,a(flip),b,3591,a)]. 3594 L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). [hyper(310,a,3593,a),flip(a)]. 3596 L(x \ T(x,y),x \ 1,x) = x \ T(x,y). [hyper(255,a,3238,a(flip),b,3594,a)]. 3597 L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). [para(1923(a,1),3596(a,1,1,2))]. 3598 x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). [para(18(a,1),3597(a,1,1)),flip(a)]. 3600 L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). [para(1923(a,1),3598(a,1,2)),flip(a)]. 3601 L(K(x,y),x \ 1,x) = K(x,y). [hyper(255,a,18,a(flip),b,3600,a)]. 3604 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(80,a,3601,a(flip),b,190,a),flip(a)]. 3605 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(1286,a,3604,a)]. 3606 K(x,y) \ (x \ K(x,y)) = x \ 1. [hyper(80,a,3604,a(flip),b,1285,a)]. 3608 K(x,y) \ (x \ K(x,y)) != z | x \ 1 = z. [para(3605(a,1),222(a,1,2)),flip(b)]. 3609 K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z. [para(3605(a,1),416(a,1,2))]. 3610 K(x,y) * ((x \ 1) * z) != (x \ K(x,y)) * u | L(z,x \ 1,K(x,y)) = u. [para(3605(a,1),422(a,1,1)),flip(a)]. 3611 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(255,a,1930,a(flip),b,3472,a)]. 3612 T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(255,a,3280,a,b,3611,a(flip)),flip(a)]. 3613 R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(255,a,47,a,b,3612,a(flip)),flip(a)]. 3614 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(2382(a,1),3613(a,1,1)),flip(a)]. 3615 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(80,a,1069,a,b,3614,a)]. 3617 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(255,a,1277,a(flip),b,3615,a(flip)),flip(a)]. 3618 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(3615(a,1),2724(a,1,1)),flip(a)]. 3619 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(255,a,3463,a,b,3617,a),flip(a)]. 3620 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(2005(a,2),3619(a,1,2))]. 3621 K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. [para(3618(a,1),2685(a,1))]. 3622 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1159(a,1),3277(a,2,1))]. 3623 L(x,y,z) * (T(x,u) * T(T(x,u) \ 1,L(x,y,z))) = L(L(x,y,z),T(x,u) \ 1,T(x,u)). [hyper(255,a,190,a(flip),b,3357,a)]. 3624 L(L(x,y,z),T(x,u) \ 1,T(x,u)) = L(x,y,z) * T(x * T(x \ 1,L(x,y,z)),u). [para(1649(a,1),3623(a,1,2)),flip(a)]. 3625 L(x,y,z) * T(x * T(x \ 1,L(x,y,z)),u) = L(1 / (1 / x),y,z). [hyper(255,a,2301,a(flip),b,3624,a(flip))]. 3627 L(x,y,z) * K(x \ 1,L(x,y,z)) = L(1 / (1 / x),y,z). [para(1224(a,1),3625(a,1,2))]. 3629 x * T(x \ 1,L(x,y,z)) = K(x \ 1,L(x,y,z)). [hyper(22,a,2997,a,b,3627,a),flip(a)]. 3630 L(K(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u. [para(3629(a,1),2659(a,1,1))]. 3631 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3538(a,1),3361(a,1,2))]. 3632 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3631(a,1),431(a,1))]. 3633 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2311,a,3540,a)]. 3634 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(3075(a,1),3076(a,2,2,1,1))]. 3635 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(255,a,3239,a(flip),b,3634,a)]. 3637 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3239(a,1),3635(a,1,1))]. 3638 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3637(a,1),3296(a,1,1))]. 3639 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3293(a,1),3638(a,2,1))]. 3641 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3639(a,1),19(a,1,2))]. 3643 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(255,a,2281,a(flip),b,3641,a(flip)),flip(a)]. 3644 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(3051(a,1),3101(a,1,2)),flip(a)]. 3645 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3644(a,2),431(a,1))]. 3646 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(20(a,1),3297(a,1,1,1))]. 3648 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3646(a,1),25(a,1)),flip(a)]. 3649 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1727(a,1),2170(a,2,1))]. 3650 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(255,a,1158,a(flip),b,3649,a)]. 3652 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1158(a,1),3650(a,1,1))]. 3653 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(40,a,3652,a)]. 3654 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * K(x,(x / (y \ 1)) / x)) / ((x * y) / x). [para(2535(a,1),2642(a,2,1,2))]. 3655 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = ((x * y) / x) / ((x * y) / x). [para(1918(a,1),3654(a,2,1))]. 3656 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = 1. [hyper(255,a,67,a(flip),b,3655,a)]. 3657 K(((x * y) / x) \ y,y \ ((x * y) / x)) = 1. [hyper(2641,a,3656,a)]. 3659 1 / (((x * y) / x) \ y) = (((x * y) / x) \ y) \ 1. [hyper(80,a,3657,a(flip),b,2516,a),flip(a)]. 3660 ((((x * y) / x) \ y) \ 1) \ 1 = ((x * y) / x) \ y. [para(3659(a,1),73(a,1,1))]. 3661 (x \ ((y * x) / y)) \ 1 = ((y * x) / y) \ x. [para(2719(a,1),3660(a,1,1))]. 3662 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (y \ (y * (x * T(x \ 1,y)))) \ 1. [para(2144(a,1),3661(a,1,1,2)),flip(a)]. 3663 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (x * T(x \ 1,y)) \ 1. [para(18(a,1),3662(a,2,1))]. 3664 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = x \ (T(1 / x,y) \ 1). [hyper(255,a,2717,a(flip),b,3663,a)]. 3666 (x * (y * T(y \ 1,x))) \ x = y \ (T(1 / y,x) \ 1). [para(2144(a,1),3664(a,1,1))]. 3667 K(x \ (y \ (T(1 / y,x) \ 1)),x) = K(x \ 1,x). [para(3664(a,1),3005(a,1,1,2))]. 3668 K(x \ ((y \ 1) \ (T(y,x) \ 1)),x) = K(x \ 1,x). [para(70(a,1),3667(a,1,1,2,2,1,1))]. 3669 K(x \ (T(y,x) \ y),x) = K(x \ 1,x). [para(2705(a,1),3668(a,1,1,2))]. 3670 (x * (y * T(y \ 1,x))) \ 1 = x \ (y \ (T(1 / y,x) \ 1)). [para(3666(a,1),2565(a,1,2)),flip(a)]. 3671 x \ (((x * y) \ x) \ (T(1 / ((x * y) \ x),x) \ 1)) = (x * K(y,x)) \ 1. [para(953(a,2),3670(a,1,1,2)),flip(a)]. 3672 x \ (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = (x * K(y,x)) \ 1. [para(2718(a,1),3671(a,1,2))]. 3673 x \ (((x * y) \ (x * T(y,x))) \ 1) = (x * K(y,x)) \ 1. [para(18(a,1),3672(a,1,2,1,2,2,1))]. 3674 x \ (((x * y) \ (y * x)) \ 1) = (x * K(y,x)) \ 1. [para(127(a,1),3673(a,1,2,1,2))]. 3675 (x * K(y,x)) \ 1 = x \ (K(y,x) \ 1). [para(31(a,2),3674(a,1,2,1)),flip(a)]. 3676 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3318(a,1),3422(a,1,2)),flip(a)]. 3677 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(255,a,3353,a(flip),b,3676,a)]. 3678 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(3392(a,1),3676(a,1,2))]. 3679 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(18(a,1),3678(a,1,2,1,2,2,1))]. 3680 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(127(a,1),3679(a,1,2,1,2))]. 3681 x * (K(y,x) \ 1) = x / K(y,x). [para(31(a,2),3680(a,1,2,1))]. 3682 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(255,a,3353,a(flip),b,3681,a)]. 3683 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(80,a,3353,a(flip),b,3681,a)]. 3684 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(80,a,3682,a(flip),b,3509,a)]. 3685 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3682(a,1),24(a,1))]. 3686 x * (T(L(y \ 1,y,x) \ 1,x) \ (L(y \ 1,y,x) \ 1)) = K(y,x) \ x. [para(3391(a,2),3682(a,1,2))]. 3687 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3682(a,1),3511(a,1,1))]. 3689 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3684(a,1),925(a,1,2,1))]. 3690 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3687(a,1),19(a,1,2))]. 3691 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3690(a,1),2879(a,1,1)),flip(a)]. 3692 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(255,a,274,a(flip),b,3689,a(flip))]. 3694 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(255,a,381,a(flip),b,3692,a(flip))]. 3695 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(255,a,3694,a(flip),b,3691,a)]. 3696 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3695(a,1),2731(a,1,2,2))]. 3697 x \ ((((x * y) \ x) \ 1) \ T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3677(a,1),3458(a,1,1)),flip(a)]. 3698 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(3677(a,1),3469(a,1,2)),flip(a)]. 3699 1 / (K(x,y) \ y) = K(x,y) / y. [para(953(a,2),3698(a,1,1)),flip(a)]. 3700 (K(x,y) / y) \ 1 = K(x,y) \ y. [para(3699(a,1),73(a,1,1))]. 3701 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(533,a,3696,a),flip(a)]. 3702 K(x,(y \ 1) \ 1) = K(x,y). [hyper(255,a,598,a(flip),b,3701,a),flip(a)]. 3704 K(x,y) != z | K(x,(y \ 1) \ 1) = z. [para(3701(a,2),600(a,1))]. 3705 K(K(x,x \ 1) * y,x) = K(y,x). [hyper(255,a,3561,a,b,3702,a(flip)),flip(a)]. 3706 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [hyper(255,a,3562,a(flip),b,3702,a(flip))]. 3707 K(x,1 / y) = K(x,y \ 1). [para(73(a,1),3702(a,1,2,1)),flip(a)]. 3708 K(x,1 / (1 / y)) = K(x,y). [para(150(a,1),3702(a,1,2)),flip(a)]. 3709 K(x,T(y,1 / y)) = K(x,y). [para(1256(a,2),3702(a,1,2))]. 3710 K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). [para(2229(a,1),3702(a,1,2)),flip(a)]. 3711 K(x,T(y / z,y \ z)) = K(x,y / z). [para(2528(a,2),3702(a,1,2))]. 3712 ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). [para(3702(a,1),3174(a,2,2))]. 3713 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(3400(a,1),3702(a,1,2)),flip(a)]. 3718 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(3707(a,1),2573(a,2,1))]. 3719 (x \ 1) * K(y,x \ 1) = x \ K(y,1 / x). [para(3707(a,2),3174(a,2,2))]. 3720 K(x / (y \ 1),1 / y) != z | K(x / (1 / y),1 / y) = z. [para(3707(a,2),3432(a,1))]. 3722 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2592(a,2),3705(a,1,1))]. 3723 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(3201(a,1),3706(a,1,1))]. 3724 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(3096(a,1),3722(a,1,1,1))]. 3725 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(255,a,3473,a,b,3713,a(flip)),flip(a)]. 3726 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(255,a,963,a,b,3723,a(flip)),flip(a)]. 3727 x \ (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3240(a,1),3697(a,1,2))]. 3728 (K(x,y) \ y) \ 1 = y \ K(x,y). [para(953(a,2),3727(a,1,2)),flip(a)]. 3729 1 / (x \ K(y,x)) = K(y,x) \ x. [para(3728(a,1),70(a,1,2))]. 3730 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3415(a,1),3423(a,1,1))]. 3731 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3239(a,1),3524(a,2,1))]. 3732 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(112(a,1),1394(a,1,2,1,1))]. 3733 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1391,a,3732,a),flip(a)]. 3734 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(821(a,1),3733(a,2,2))]. 3735 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(422,a,3734,a),flip(a)]. 3736 L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [hyper(255,a,1155,a(flip),b,3735,a(flip))]. 3737 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1732(a,1),3736(a,1,1,2)),flip(a)]. 3738 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(255,a,2655,a(flip),b,3737,a)]. 3739 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(23,a,189,a(flip),b,3738,a)]. 3740 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(73(a,1),3739(a,1,1))]. 3741 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(1020(a,1),3740(a,1,2))]. 3742 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(3741(a,1),21(a,1,1))]. 3743 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2765,a,3742,a)]. 3744 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1868(a,1),3743(a,1,1)),flip(a)]. 3745 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(255,a,2413,a(flip),b,2416,a)]. 3746 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1242(a,1),3388(a,1,1))]. 3747 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1242(a,1),3746(a,1,2,3))]. 3748 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2983(a,1),3747(a,1,2)),flip(a)]. 3749 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(2302(a,1),3748(a,1,1)),flip(a)]. 3750 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(3386(a,1),3748(a,1,1))]. 3751 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(1242(a,1),3750(a,1,2))]. 3752 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(255,a,3378,a(flip),b,3751,a(flip))]. 3753 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(255,a,3491,a(flip),b,3752,a)]. 3754 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(255,a,2812,a(flip),b,3753,a)]. 3755 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(255,a,3754,a(flip),b,3749,a(flip)),flip(a)]. 3756 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(1242(a,1),3755(a,2,2))]. 3757 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(255,a,3378,a(flip),b,3756,a)]. 3758 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(255,a,3350,a(flip),b,3757,a)]. 3759 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(2705(a,1),3758(a,1,1))]. 3760 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(255,a,3556,a(flip),b,3759,a(flip)),flip(a)]. 3761 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(3760(a,1),841(a,1,1))]. 3762 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(255,a,443,a(flip),b,3761,a(flip))]. 3763 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(255,a,31,a,b,3762,a),flip(a)]. 3764 L(K(x,y),y \ 1,y) = K(x,y). [para(31(a,2),3763(a,2,1)),flip(a)]. 3765 (x \ 1) * K(y,x) = x \ K(y,x). [hyper(80,a,3764,a(flip),b,190,a),flip(a)]. 3766 ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(3765(a,1),35(a,2,2)),flip(a)]. 3767 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(73(a,1),3541(a,1,1,3))]. 3768 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2812(a,1),3767(a,1,1))]. 3769 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1242(a,1),2672(a,1,1,2,1))]. 3770 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1710(a,1),3769(a,1,1,2)),flip(a)]. 3772 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3385(a,1),3770(a,2,1))]. 3773 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(169(a,1),3772(a,2,1))]. 3774 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(255,a,328,a(flip),b,3773,a)]. 3777 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3774(a,1),263(a,1,2)),flip(a)]. 3778 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. [hyper(255,a,17,a(flip),b,3777,a)]. 3779 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(3778(a,1),304(a,1,1)),flip(b)]. 3780 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(112(a,1),1855(a,1,2,1,2,1))]. 3781 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(255,a,1331,a(flip),b,3780,a(flip))]. 3782 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1053(a,1),3781(a,2,2))]. 3783 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(422,a,3782,a),flip(a)]. 3784 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(19(a,1),3783(a,1,2,1)),flip(a)]. 3785 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(255,a,1448,a,b,3784,a)]. 3786 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1914(a,1),3785(a,1,1))]. 3787 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(122(a,1),1857(a,1,1,1,2,2)),flip(a)]. 3788 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(255,a,789,a(flip),b,3787,a)]. 3789 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(255,a,2409,a(flip),b,3788,a)]. 3790 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(789(a,1),3789(a,1,1))]. 3791 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1903(a,1),3790(a,2,1))]. 3792 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(23,a,122,a,b,3791,a)]. 3793 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1910,a,3792,a),flip(a)]. 3794 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(19(a,1),3792(a,1,2,1)),flip(a)]. 3795 R(K(x,(x / y) / x),z,u) = K(x,(x / R(y,z,u)) / x). [para(1909(a,2),3793(a,1,1))]. 3796 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(255,a,1448,a,b,3794,a)]. 3797 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1159(a,1),3796(a,1,1,2,1))]. 3798 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3463(a,1),3797(a,1,1))]. 3799 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(35(a,2),1879(a,2,2,1,1))]. 3800 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1902(a,1),3799(a,1,1))]. 3801 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1639(a,1),3800(a,1,1,1))]. 3802 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(466,a,3801,a),flip(a)]. 3804 R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [hyper(255,a,1164,a(flip),b,3802,a(flip))]. 3805 R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). [para(592(a,1),3802(a,2,1,2))]. 3806 R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). [hyper(1188,a,3805,a),flip(a)]. 3807 a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z). [para(16(a,1),3806(a,1,1,2,1)),flip(a)]. 3808 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1713(a,1),3804(a,1,1,2)),flip(a)]. 3809 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(23,a,2673,a(flip),b,3808,a)]. 3810 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(3779,a,3809,a)]. 3811 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(80,a,3810,a(flip),b,2561,a)]. 3812 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(73(a,1),3810(a,1,2))]. 3813 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1180(a,1),3812(a,1,1))]. 3814 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1172(a,1),3813(a,1,1)),flip(a)]. 3815 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(33(a,2),1906(a,2,2,1,1))]. 3816 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(1007(a,1),3815(a,1,2))]. 3817 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(824(a,1),3816(a,1,2,2))]. 3818 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(431,a,3817,a),flip(a)]. 3820 L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). [para(675(a,1),3818(a,2,1,2))]. 3821 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(1044(a,1),3818(a,1,2))]. 3822 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1431(a,1),3820(a,1,2))]. 3823 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(153(a,1),3822(a,2,1,2))]. 3824 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1448(a,2),3823(a,2,1))]. 3825 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(17(a,1),3821(a,1,2,2)),flip(a)]. 3826 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2650(a,1),3825(a,1,1)),flip(a)]. 3827 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(255,a,3786,a(flip),b,3826,a)]. 3828 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(22,a,1448,a(flip),b,3827,a)]. 3829 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(255,a,3744,a,b,3828,a(flip)),flip(a)]. 3830 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(3829(a,1),70(a,1,2)),flip(a)]. 3831 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(70(a,1),3829(a,1,1,1,2)),flip(a)]. 3832 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(70(a,1),3830(a,1,1,2)),flip(a)]. 3833 L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). [para(241(a,1),3830(a,2,2,2))]. 3834 T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). [para(3830(a,1),186(a,1,1))]. 3835 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(3831(a,1),73(a,1,1))]. 3836 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). [para(3832(a,1),3830(a,1,1)),flip(a)]. 3837 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(70(a,1),3835(a,1,1,1,1)),flip(a)]. 3838 T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). [para(73(a,1),3834(a,2,1))]. 3839 T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). [para(3838(a,1),43(a,1,1)),flip(a)]. 3840 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(3833(a,1),112(a,1,2))]. 3841 K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). [para(3836(a,1),3708(a,1,2))]. 3842 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [para(18(a,1),3840(a,2,2,2,2,2,2))]. 3843 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(35(a,2),1976(a,2,2,1,1))]. 3844 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1900(a,1),3843(a,1,1))]. 3845 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1643(a,1),3844(a,1,1,1))]. 3846 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(466,a,3845,a),flip(a)]. 3847 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(675(a,1),3846(a,2,1,2))]. 3848 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1177(a,1),3846(a,1,2))]. 3849 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1313(a,1),3847(a,1,2))]. 3850 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(153(a,1),3849(a,2,1,2))]. 3851 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1448(a,2),3850(a,2,1))]. 3852 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(17(a,1),3848(a,1,2,2)),flip(a)]. 3853 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3620(a,1),3852(a,1,1)),flip(a)]. 3854 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3617(a,1),3853(a,2,1))]. 3855 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(255,a,3798,a(flip),b,3854,a)]. 3856 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(22,a,1448,a(flip),b,3855,a)]. 3857 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(255,a,3814,a,b,3856,a(flip)),flip(a)]. 3858 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(3857(a,1),70(a,1,2)),flip(a)]. 3859 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. [para(145(a,1),3857(a,1,1,1)),flip(a)]. 3860 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2230(a,1),3857(a,1,1,1))]. 3861 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(70(a,1),3858(a,1,1,2)),flip(a)]. 3862 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(3859(a,1),73(a,1,1)),flip(a)]. 3863 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(3861(a,1),3368(a,1,2))]. 3864 R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. [para(472(a,1),3862(a,2,1,1))]. 3865 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3862(a,2),2239(a,1,1))]. 3866 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2813(a,1),3862(a,2,1,1))]. 3867 T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). [para(3862(a,2),3371(a,1,2))]. 3868 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(658(a,1),3860(a,1,1)),flip(a)]. 3869 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(255,a,2838,a,b,3866,a(flip)),flip(a)]. 3870 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(230,a,3865,a),flip(a)]. 3871 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2238(a,1),3870(a,2,1))]. 3872 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(255,a,3633,a(flip),b,3871,a(flip)),flip(a)]. 3873 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(255,a,3366,a(flip),b,3871,a(flip)),flip(a)]. 3874 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(3862(a,2),3873(a,1,1))]. 3875 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. [para(3190(a,1),3874(a,2,1))]. 3876 (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(3864(a,1),3875(a,1,1))]. 3877 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3190(a,1),3872(a,2,1))]. 3878 (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(21(a,1),3876(a,1,2,1))]. 3879 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). [hyper(1245,a,3878,a),flip(a)]. 3881 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(143(a,1),2539(a,1,2,2,2,2))]. 3882 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). [hyper(255,a,3842,a(flip),b,3881,a(flip))]. 3884 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). [para(3840(a,1),3882(a,2,2))]. 3885 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). [para(60(a,1),3884(a,2,2,2,2,2,2,2))]. 3887 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). [para(70(a,1),3885(a,2,2,2,2,2))]. 3888 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). [para(1448(a,2),3887(a,2,2,2))]. 3889 (x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z. [para(3888(a,1),24(a,1)),flip(a)]. 3890 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(3255(a,2),3273(a,2,2,2))]. 3891 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(2748(a,1),1217(a,1,1,2))]. 3892 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(21(a,1),3891(a,1,1,2))]. 3894 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1161(a,1),3892(a,1,1)),flip(a)]. 3896 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3894(a,1),3622(a,1,1))]. 3897 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(80,a,3896,a(flip),b,3587,a)]. 3898 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(2771,a,3897,a),flip(a)]. 3900 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3898(a,1),2532(a,1,1))]. 3901 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(3621,a,3900,a)]. 3902 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(255,a,3564,a,b,3901,a(flip)),flip(a)]. 3903 R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(3901(a,1),2671(a,1,1))]. 3904 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(3902(a,1),19(a,1,2))]. 3905 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(255,a,3858,a(flip),b,3904,a)]. 3906 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(22,a,1483,a,b,3905,a),flip(a)]. 3907 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(364,a,3906,a)]. 3908 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3906(a,1),1458(a,1,1)),flip(a)]. 3909 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3907(a,1),315(a,1))]. 3910 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3907(a,1),3877(a,1,1))]. 3911 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(255,a,3898,a(flip),b,3908,a)]. 3912 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3910(a,1),25(a,1))]. 3913 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(3312(a,1),3910(a,1,1))]. 3914 K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). [para(3312(a,1),3903(a,1,1)),flip(a)]. 3915 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(1524(a,1),3913(a,2,1,2))]. 3917 R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). [hyper(255,a,3906,a(flip),b,3914,a(flip))]. 3918 R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). [hyper(255,a,3312,a(flip),b,3917,a)]. 3919 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(3918(a,1),122(a,1,1)),flip(a)]. 3920 L(x,y,K(z,R(z \ 1,y,x))) = x. [hyper(422,a,3919,a)]. 3921 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(23,a,3915,a(flip),b,3919,a)]. 3922 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(23,a,2247,a,b,3921,a)]. 3925 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3922(a,1),3915(a,1,1)),flip(a)]. 3926 L(x,y,K(z,z \ 1)) = x. [para(3922(a,1),3920(a,1,3))]. 3932 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [hyper(255,a,2734,a,b,3926,a(flip)),flip(a)]. 3933 (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). [hyper(255,a,2941,a(flip),b,3926,a(flip)),flip(a)]. 3934 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(255,a,114,a(flip),b,3926,a(flip)),flip(a)]. 3936 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3926(a,1),112(a,1,2))]. 3937 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3926(a,1),375(a,1,2)),flip(a)]. 3938 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3926(a,1),483(a,1,2))]. 3939 L(x,y,K(z,1 / z)) = x. [para(1445(a,2),3926(a,1,3))]. 3940 L(x,y,K(z \ 1,z)) = x. [para(1451(a,1),3926(a,1,3))]. 3941 ((x \ 1) \ 1) / (y \ x) = K(x,x \ 1) * y. [para(3926(a,1),1474(a,1,2))]. 3942 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3926(a,1),1472(a,1,2)),flip(a)]. 3943 L(x,y,K(z \ u,u \ z)) = x. [para(2502(a,1),3926(a,1,3))]. 3945 (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). [para(3939(a,1),112(a,1,2))]. 3946 K(x,1 / x) * (1 / y) = K(x,1 / x) / y. [para(3939(a,1),375(a,1,2)),flip(a)]. 3947 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3645,a,3940,a),flip(a)]. 3949 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y). [hyper(255,a,2735,a,b,3940,a(flip)),flip(a)]. 3950 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(255,a,2932,a(flip),b,3940,a(flip))]. 3951 a(x,1 / y,y) = a(x,y \ 1,y). [hyper(255,a,2818,a(flip),b,3940,a(flip))]. 3952 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(255,a,2406,a(flip),b,3940,a(flip))]. 3953 (x * K(y \ 1,y)) \ K(y \ 1,y) = x \ 1. [hyper(255,a,2282,a(flip),b,3940,a(flip)),flip(a)]. 3954 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(255,a,114,a(flip),b,3940,a(flip)),flip(a)]. 3955 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3940(a,1),112(a,1,2))]. 3956 K(x \ 1,x) * (1 / y) = K(x \ 1,x) / y. [para(3940(a,1),375(a,1,2)),flip(a)]. 3957 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3940(a,1),483(a,1,2))]. 3958 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3940(a,1),2283(a,1,2))]. 3960 (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). [para(3943(a,1),112(a,1,2))]. 3962 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(255,a,3061,a,b,3947,a(flip)),flip(a)]. 3963 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(70(a,1),3947(a,1,3)),flip(a)]. 3965 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [hyper(255,a,2892,a,b,3951,a(flip)),flip(a)]. 3966 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(3632,a,3963,a)]. 3968 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3937(a,1),2253(a,1))]. 3969 K(x,x \ 1) * (x / y) = ((x \ 1) \ 1) / y. [para(73(a,1),3941(a,1,2)),flip(a)]. 3971 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2253,a,3942,a)]. 3973 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(2914(a,1),3953(a,1,1)),flip(a)]. 3974 (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. [hyper(2267,a,3956,a)]. 3975 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(255,a,114,a(flip),b,3966,a(flip))]. 3976 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2253,a,3969,a)]. 3977 (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). [hyper(302,a,3971,a),flip(a)]. 3978 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(613(a,1),3971(a,1,1)),flip(a)]. 3980 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(3977(a,1),73(a,1,1))]. 3983 (x * K(y,y \ 1)) \ K(y,y \ 1) = x \ 1. [hyper(80,a,64,a(flip),b,3925,a)]. 3984 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(81,a,3925,a(flip),b,122,a)]. 3985 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [para(2911(a,1),3925(a,1,1)),flip(a)]. 3986 K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. [para(3097(a,1),3925(a,1,1)),flip(a)]. 3988 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [para(2911(a,1),3983(a,1,1)),flip(a)]. 3989 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(2912(a,1),3983(a,1,1)),flip(a)]. 3991 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [para(2924(a,1),3933(a,1,1)),flip(a)]. 3992 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2924(a,1),3934(a,1,1)),flip(a)]. 3993 (x \ y) \ (K(x,x \ 1) * z) = (((x \ 1) \ 1) \ y) \ z. [para(3036(a,1),3934(a,1,1))]. 3994 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(454,a,3936,a)]. 3996 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(255,a,3851,a,b,3994,a(flip)),flip(a)]. 3998 K(x,x \ 1) * ((1 / (1 / x)) / y) = x / y. [para(1504(a,1),3938(a,1,1)),flip(a)]. 3999 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3938(a,1),2943(a,1,1))]. 4000 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [hyper(2921,a,3998,a)]. 4001 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(199(a,1),4000(a,1,2)),flip(a)]. 4002 (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). [hyper(255,a,2259,a(flip),b,3945,a)]. 4004 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(3097(a,1),3950(a,1,1)),flip(a)]. 4005 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3950(a,1),3210(a,1))]. 4006 (K(x \ 1,x) * y) \ z = y \ (z * K(x,x \ 1)). [para(2913(a,1),3954(a,1,2))]. 4008 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3955(a,1),35(a,2,1,1)),flip(a)]. 4009 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3957(a,1),129(a,1,1))]. 4010 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3912,a,3958,a)]. 4012 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3958(a,1),29(a,2,1)),flip(a)]. 4013 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3958(a,1),33(a,2,1)),flip(a)]. 4014 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3958(a,1),431(a,1,2,2))]. 4015 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3958(a,1),3099(a,1,1))]. 4016 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3909,a,4010,a)]. 4017 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(4010(a,1),1163(a,1,2))]. 4020 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(255,a,128,a,b,3991,a),flip(a)]. 4021 x * ((x * K(y \ 1,y)) \ z) = K(y,y \ 1) * z. [para(3992(a,2),19(a,1,2))]. 4022 (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). [hyper(81,a,98,a(flip),b,4002,a)]. 4024 x * ((x * K(y \ 1,R(y,z,u))) \ w) = K(y,y \ 1) * w. [para(4010(a,2),4021(a,1,2,1,2))]. 4025 R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [hyper(255,a,474,a,b,4022,a(flip)),flip(a)]. 4028 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) = T(x,y / (z \ 1)). [para(2827(a,1),3949(a,1,1,2))]. 4029 a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x. [hyper(81,a,2944,a(flip),b,3986,a(flip))]. 4032 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(4004(a,1),3731(a,1,2,1)),flip(a)]. 4033 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(3207(a,1),4009(a,1,1))]. 4034 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(23,a,3098,a,b,4017,a),flip(a)]. 4036 R(x,y,z) / x = x \ R(x,y,z). [hyper(255,a,1173,a(flip),b,4034,a(flip)),flip(a)]. 4037 (x \ R(x,y,z)) * x = R(x,y,z). [para(4036(a,1),21(a,1,1))]. 4038 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(4036(a,1),480(a,1,1))]. 4039 T(x,x \ R(x,y,z)) = x. [hyper(286,a,4037,a)]. 4040 x * ((x * K(y \ 1,R(y,z,u))) \ w) != v5 * w | K(y,y \ 1) = v5. [para(4024(a,2),25(a,1))]. 4041 (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). [para(2519(a,1),3960(a,1,1))]. 4042 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(4038(a,2),2232(a,1,1,1,1))]. 4043 (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. [para(4041(a,2),159(a,1)),flip(b)]. 4044 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(255,a,2318,a(flip),b,3984,a(flip))]. 4045 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1451(a,1),4044(a,1,2)),flip(a)]. 4046 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1451(a,1),4045(a,1,3)),flip(a)]. 4047 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3955(a,1),4008(a,1,1))]. 4048 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(255,a,3957,a(flip),b,4047,a(flip)),flip(a)]. 4049 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(35(a,2),4048(a,1,2)),flip(a)]. 4050 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(255,a,2990,a(flip),b,4049,a)]. 4051 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2938,a,4049,a(flip))]. 4052 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1481(a,1),4051(a,1,2,1))]. 4053 R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). [para(2918(a,1),4051(a,1,2,1)),flip(a)]. 4054 R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). [hyper(255,a,2247,a(flip),b,4053,a)]. 4055 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3330(a,1),4032(a,2,2))]. 4056 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2878(a,1),4050(a,1,1)),flip(a)]. 4057 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(96,a,4056,a)]. 4058 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(19(a,1),4056(a,1,1,2,1)),flip(a)]. 4059 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(21(a,1),4057(a,1,1,1)),flip(a)]. 4060 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(472(a,1),4058(a,2,1,2))]. 4061 R((x \ (1 / y)) * x,y,x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(4058(a,2),1199(a,1,1))]. 4062 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2813(a,1),4058(a,2,1,2))]. 4063 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(4059(a,1),19(a,1,2)),flip(a)]. 4064 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(4063(a,2),3745(a,1,1))]. 4065 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(81,a,4060,a(flip),b,193,a)]. 4066 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(255,a,3558,a(flip),b,4062,a(flip))]. 4067 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(81,a,4062,a(flip),b,2810,a),flip(a)]. 4068 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(4062(a,1),3768(a,1,1)),flip(a)]. 4069 (x * (y \ T(y,x))) * y = y * x. [para(18(a,1),4066(a,1,1)),flip(a)]. 4070 x * (y \ T(y,x)) = (y * x) / y. [hyper(96,a,4069,a),flip(a)]. 4071 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(81,a,19,a(flip),b,4069,a),flip(a)]. 4072 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(23,a,127,a(flip),b,4069,a)]. 4073 R(x,y \ T(y,x),y) = (y * x) / T(y,x). [hyper(81,a,4069,a(flip),b,3253,a),flip(a)]. 4074 x \ ((y * x) / y) = y \ T(y,x). [hyper(87,a,4070,a)]. 4075 R(x,y,y \ 1) \ ((y * x) * (y \ 1)) = y \ T(y,R(x,y,y \ 1)). [hyper(80,a,729,a(flip),b,4070,a)]. 4076 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(80,a,251,a(flip),b,4070,a),flip(a)]. 4077 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(80,a,167,a(flip),b,4070,a)]. 4078 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(22,a,3184,a,b,4070,a),flip(a)]. 4079 ((x * y) / x) / y = x \ T(x,y). [hyper(22,a,3179,a,b,4070,a),flip(a)]. 4080 (x \ T(x,y)) * y = (x * y) / x. [hyper(255,a,3154,a,b,4070,a(flip)),flip(a)]. 4082 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(4070(a,1),929(a,1,2))]. 4083 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(4070(a,1),2571(a,1,1))]. 4084 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(3240(a,1),4070(a,1,2)),flip(a)]. 4085 ((x * y) / x) \ y = T(x,y) \ x. [para(4070(a,1),3487(a,1,1))]. 4086 (T(x,y) \ x) * ((x * y) / x) = y. [para(4070(a,1),3584(a,1,2))]. 4087 T(x,T(y,x)) \ x = y \ T(y,x). [para(4072(a,1),3487(a,1,1)),flip(a)]. 4088 x * (T(y,T(x,y)) \ y) = T(x,y). [para(4072(a,1),3488(a,1,1))]. 4089 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(4074(a,1),438(a,1,1))]. 4090 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(4074(a,1),1859(a,1,1)),flip(a)]. 4091 x * (T(y,x) \ y) = T(x,T(y,x)). [para(4077(a,2),19(a,1,2))]. 4092 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(4077(a,2),3242(a,1,1))]. 4093 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(4079(a,1),452(a,1,1,1))]. 4094 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(4079(a,1),450(a,1,1,1))]. 4095 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((1 / (x * y)) \ T(1 / (x * y),x)) * x. [para(4029(a,2),4080(a,2,1)),flip(a)]. 4096 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(19(a,1),4085(a,1,1,1)),flip(a)]. 4097 (((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(4085(a,1),1145(a,1,1,2,2)),flip(a)]. 4098 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(4085(a,1),1605(a,1,2,2,1))]. 4099 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3648,a,4086,a)]. 4100 K(x \ (x / (y \ 1)),x) = T(x,T(y,x)) \ x. [hyper(255,a,1204,a,b,4087,a),flip(a)]. 4101 T(x,T(y,x)) * (y \ T(y,x)) = x. [para(4087(a,1),19(a,1,2))]. 4102 x * (y \ T(y,z)) != z | T(z,T(y,z)) = x. [para(4087(a,1),94(a,1,2)),flip(b)]. 4103 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(4087(a,1),3134(a,1,1))]. 4104 (x * (T(x,T(y,x)) \ x)) * y = y * x. [para(4087(a,2),4069(a,1,1,2))]. 4105 (x * y) / x = y * (T(y,T(x,y)) \ y). [para(4087(a,2),4070(a,1,2)),flip(a)]. 4106 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [hyper(255,a,3686,a(flip),b,4091,a(flip))]. 4107 L(x,y \ T(y,x),y) = x. [hyper(255,a,3577,a(flip),b,4101,a(flip)),flip(a)]. 4110 T(x,y) \ (y * (x \ T(x,y))) = x \ y. [hyper(80,a,4107,a(flip),b,3178,a),flip(a)]. 4111 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(3240(a,1),4103(a,1,1))]. 4112 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(128(a,1),4071(a,1,2,2))]. 4113 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(4083(a,1),431(a,1,1))]. 4114 T(x * (T(x,T(y,x)) \ x),y) = x. [hyper(172,a,4104,a,b,xx)]. 4116 T(x,y) \ ((x * y) / x) = x \ y. [para(4070(a,1),4110(a,1,2))]. 4117 T(x / y,T(y,x)) = y \ x. [hyper(899,a,4116,a)]. 4118 T(x,y) * (x \ y) = (x * y) / x. [para(4116(a,1),19(a,1,2))]. 4119 T(x,T(y,x * y)) = y \ (x * y). [para(20(a,1),4117(a,1,1))]. 4120 T(x / ((x * y) / x),y) = ((x * y) / x) \ x. [para(166(a,1),4117(a,1,2))]. 4121 T(x \ y,T(x,y)) = T(x \ y,x). [para(4117(a,1),185(a,1,1)),flip(a)]. 4122 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(4117(a,1),2008(a,1,1)),flip(a)]. 4123 T(x,x / (x / y)) = T(x,y). [hyper(23,a,1632,a,b,4118,a),flip(a)]. 4124 (x * (x * y)) / x = T(x,x * y) * y. [para(18(a,1),4118(a,1,2)),flip(a)]. 4125 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(105(a,1),4118(a,1,2))]. 4126 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(4118(a,1),431(a,1,1))]. 4127 T(x,y) * y = x * ((x * y) / x). [para(4118(a,1),1078(a,1,2)),flip(a)]. 4128 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(4118(a,1),3162(a,1,1,1))]. 4129 T(x,x / (1 / y)) = T(x,x * y). [hyper(255,a,1637,a(flip),b,4123,a(flip)),flip(a)]. 4130 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(255,a,1000,a(flip),b,4123,a(flip)),flip(a)]. 4131 (x / y) \ T(x,y) = (x * y) / x. [hyper(80,a,4123,a(flip),b,998,a)]. 4132 T(x,x / y) = T(x,y \ x). [para(70(a,1),4123(a,1,2,2))]. 4133 T(x,(y \ x) \ x) = T(x,y). [para(145(a,1),4123(a,1,2)),flip(a)]. 4134 T(T(x,y) / (x / y),x) = x / (x / y). [para(4123(a,1),988(a,1,1,1))]. 4135 T(x,T(y,x)) * (y * x) = x * (x * y). [para(4123(a,1),1359(a,1,1))]. 4136 T(x,(y \ 1) \ x) = T(x,y * x). [hyper(1617,a,4132,a),flip(a)]. 4137 T(T(x,y \ x) / y,x) = x / y. [para(4132(a,1),988(a,1,1,1))]. 4138 T(x,T(y,y \ x)) = T(x,y). [para(128(a,2),4133(a,1,2))]. 4139 T(x,T(y,x * y)) = T(x,y). [hyper(255,a,37,a,b,4119,a)]. 4140 T(x,T(x \ y,y)) = T(x,x \ y). [para(19(a,1),4139(a,1,2,2))]. 4141 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(4121(a,1),127(a,1,2))]. 4143 x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). [para(4121(a,2),388(a,1,2,2))]. 4145 T(x,x \ y) * (x \ y) = x * (y / x). [para(19(a,1),4127(a,2,2,1))]. 4146 T(x / y,y) * y = (x / y) * (x / (x / y)). [para(21(a,1),4127(a,2,2,1))]. 4147 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(4129(a,1),1621(a,1,1))]. 4148 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(20(a,1),4131(a,1,1)),flip(a)]. 4149 T(x,(1 / y) * x) = T(x,y \ x). [para(73(a,1),4136(a,1,2,1)),flip(a)]. 4150 T(T(x * y,y) / x,x * y) = (x * y) / x. [para(18(a,1),4137(a,1,1,1,2))]. 4151 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(87,a,4112,a)]. 4154 (x * (y / x)) \ (T(x,x \ y) * ((x \ y) * z)) = L(z,x \ y,T(x,x \ y)). [para(4145(a,1),33(a,2,1)),flip(a)]. 4155 T(x,x \ y) * y = x * (x * (y / x)). [para(4145(a,1),1078(a,1,2)),flip(a)]. 4157 R(x,y \ T(y,x),y) = x. [hyper(255,a,144,a(flip),b,4073,a)]. 4159 R(T(x,y),z \ T(z,x),z) = T(x,y). [para(4157(a,1),47(a,2,1))]. 4160 (T(x,y) * (z \ T(z,x))) * z = T(x,y) * T(z,x). [para(4159(a,1),3253(a,1,1)),flip(a)]. 4161 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(167(a,1),4089(a,2,2)),flip(a)]. 4162 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(255,a,3236,a(flip),b,4090,a)]. 4163 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(3498,a,4162,a),flip(a)]. 4165 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(3439(a,1),4162(a,1,2))]. 4166 T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. [para(4162(a,1),3498(a,1))]. 4167 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [hyper(255,a,3557,a(flip),b,4165,a(flip)),flip(a)]. 4168 T(x,x / (x * y)) = T(x,y \ 1). [hyper(255,a,3443,a(flip),b,4165,a(flip)),flip(a)]. 4169 T(x,x / (y * x)) = T(x,y \ 1). [hyper(255,a,3438,a(flip),b,4165,a(flip)),flip(a)]. 4170 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2418,a,4168,a)]. 4173 x * K(x,(x / y) / x) = T(x,y \ 1). [hyper(255,a,1916,a,b,4168,a(flip)),flip(a)]. 4174 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(81,a,4168,a(flip),b,2412,a)]. 4175 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(80,a,4168,a(flip),b,1916,a),flip(a)]. 4176 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(4168(a,1),2060(a,1,1,2))]. 4177 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(4168(a,1),2414(a,1,2)),flip(a)]. 4178 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(80,a,4169,a(flip),b,1063,a)]. 4179 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(128(a,2),4163(a,1,2,1))]. 4180 x \ T(x,y \ 1) != z | K(x,(x / y) / x) = z. [para(4173(a,1),222(a,1,2)),flip(b)]. 4181 T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). [para(70(a,1),4174(a,2,2,1))]. 4182 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(73(a,1),4174(a,1,1,2))]. 4183 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(4174(a,2),162(a,2,1))]. 4184 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(4175(a,1),3795(a,1,1))]. 4185 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(80,a,4178,a,b,4145,a)]. 4186 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(80,a,4178,a,b,xx)]. 4187 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(73(a,1),4178(a,2,2,1))]. 4188 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(350(a,2),4178(a,2,2)),flip(a)]. 4189 R(x,(y \ x) / x,x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [para(4178(a,2),124(a,1,1,1)),flip(a)]. 4192 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(4079(a,1),4128(a,1,1))]. 4193 K(T(x,y),y) = K(x,(x * y) / x). [hyper(255,a,4089,a(flip),b,4192,a(flip))]. 4194 K(T(x,x \ y),x \ y) = K(x,y / x). [para(19(a,1),4193(a,2,2,1))]. 4195 K(T(x,T(y,x)),T(y,x)) = K(x,y). [para(167(a,1),4193(a,2,2))]. 4197 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(255,a,4130,a(flip),b,4147,a)]. 4198 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(4197(a,1),184(a,1,2))]. 4199 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(4197(a,1),1068(a,1,2)),flip(a)]. 4200 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(129(a,1),4076(a,1,2))]. 4201 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(255,a,4096,a,b,4200,a(flip)),flip(a)]. 4202 x / (x / y) = y * (T(y,y \ x) \ y). [para(4201(a,2),19(a,1,2)),flip(a)]. 4203 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(18(a,1),4202(a,2,2,1,2))]. 4204 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(255,a,1189,a,b,4078,a(flip)),flip(a)]. 4205 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(255,a,3783,a(flip),b,4078,a(flip)),flip(a)]. 4206 x \ (y * ((z * (y \ x)) / z)) = z \ T(z,(x \ y) \ 1). [hyper(255,a,2056,a(flip),b,4078,a(flip)),flip(a)]. 4207 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(4078(a,1),2356(a,2,2,1))]. 4208 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(4078(a,1),2417(a,2,2,1))]. 4209 (T(x,T(y,x)) \ x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(4100(a,1),3890(a,1,1))]. 4210 (x / y) * (x / (x / y)) = (y \ x) * y. [para(129(a,1),4146(a,1,1)),flip(a)]. 4211 T(x \ T(x * y,y),x) = R(y,x,y). [para(4148(a,1),703(a,2,1)),flip(a)]. 4212 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(4148(a,1),714(a,1,1))]. 4213 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(4212(a,1),106(a,1,1))]. 4214 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(4177(a,1),2873(a,2,1,2))]. 4215 x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. [hyper(80,a,4182,a,b,xx)]. 4216 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(255,a,933,a(flip),b,4187,a(flip)),flip(a)]. 4217 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(23,a,397,a,b,4199,a),flip(a)]. 4218 (x / ((x * y) / x)) * y = x * (T(x,y) \ x). [hyper(255,a,1627,a(flip),b,4203,a(flip)),flip(a)]. 4219 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(255,a,1125,a(flip),b,4203,a(flip)),flip(a)]. 4221 T(x * (T(x,T(y,x)) \ x),T(y,x)) = L(R(x,y,x),y,x). [para(4105(a,1),4217(a,1,1))]. 4222 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(4148(a,1),4217(a,1,1))]. 4223 x \ (y * (T(y,x) \ y)) = T(y / ((y * x) / y),x). [hyper(172,a,4218,a,b,19,a),flip(a)]. 4225 (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). [para(4219(a,1),73(a,1,1))]. 4226 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(4219(a,1),1557(a,2,2,1,2))]. 4227 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(73(a,1),4188(a,2,2,2))]. 4228 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1138(a,1),4084(a,2,2))]. 4229 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(255,a,4143,a(flip),b,4122,a(flip))]. 4230 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(255,a,615,a(flip),b,4229,a(flip))]. 4231 K(x,T(y,y * x)) = K(x,y). [hyper(255,a,615,a(flip),b,4230,a(flip))]. 4233 K(x \ 1,T(y,x \ y)) = K(x \ 1,y). [para(1990(a,1),4231(a,1,2))]. 4234 K((x \ 1) \ 1,T(y,x * y)) = K((x \ 1) \ 1,y). [para(4136(a,1),4233(a,1,2))]. 4235 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(22,a,859,a,b,4167,a),flip(a)]. 4236 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(255,a,4175,a(flip),b,4176,a),flip(a)]. 4237 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(4179(a,2),24(a,1))]. 4238 x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. [para(4216(a,1),410(a,1,2))]. 4239 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [hyper(255,a,4120,a(flip),b,4223,a)]. 4240 K((x \ 1) \ 1,y) = K(x,T(y,x * y)). [hyper(255,a,3312,a(flip),b,4234,a(flip))]. 4241 K(x,T(y,x * y)) = K(x,y). [hyper(255,a,3312,a(flip),b,4240,a(flip))]. 4242 K(x,T(x \ y,y)) = K(x,x \ y). [para(19(a,1),4241(a,1,2,2))]. 4243 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(255,a,3080,a(flip),b,4235,a(flip))]. 4244 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3264(a,1),4236(a,1,2,2,1)),flip(a)]. 4245 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(160(a,2),4243(a,1,2))]. 4246 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(81,a,4245,a(flip),b,774,a),flip(a)]. 4247 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(4092(a,1),840(a,1,1))]. 4248 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(255,a,4175,a(flip),b,4184,a)]. 4249 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(255,a,1401,a(flip),b,4067,a(flip)),flip(a)]. 4250 (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. [para(4125(a,1),25(a,1))]. 4251 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(4078(a,1),4205(a,1,1))]. 4252 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(4175(a,1),4207(a,1,1))]. 4253 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(3470(a,1),4227(a,1,2))]. 4254 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(4253(a,1),3725(a,1,2)),flip(a)]. 4255 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(255,a,3726,a(flip),b,4254,a),flip(a)]. 4256 ((1 / (x * y)) * x) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [hyper(255,a,3215,a,b,4228,a(flip)),flip(a)]. 4257 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(4228(a,2),24(a,1))]. 4258 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(255,a,4083,a(flip),b,4246,a(flip)),flip(a)]. 4259 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(255,a,2047,a(flip),b,4258,a(flip)),flip(a)]. 4260 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(18(a,1),4259(a,1,1,1)),flip(a)]. 4261 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(18(a,1),4260(a,1,1,1)),flip(a)]. 4262 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [para(4029(a,2),4256(a,1,1))]. 4263 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(255,a,3962,a(flip),b,4099,a(flip)),flip(a)]. 4264 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(3065(a,1),4263(a,2,1))]. 4265 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(255,a,4261,a(flip),b,4264,a(flip))]. 4266 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(4265(a,1),2710(a,1,2,1))]. 4267 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(255,a,263,a(flip),b,4055,a),flip(a)]. 4268 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(31(a,2),4247(a,2,1))]. 4269 x * ((y * x) * T((y * x) \ 1,x)) = (((x \ (1 / y)) * x) * y) * x. [hyper(230,a,4061,a),flip(a)]. 4270 x * (y * (x * T(x \ (y \ 1),x))) = (((x \ (1 / y)) * x) * y) * x. [para(832(a,1),4269(a,1,2))]. 4271 (((x \ (1 / y)) * x) * y) * x = x * (y * ((x \ (y \ 1)) * x)). [para(127(a,1),4270(a,1,2,2)),flip(a)]. 4272 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(255,a,4248,a,b,4244,a)]. 4273 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) != x * z | ((x \ (1 / y)) * x) * y = z. [para(4262(a,2),24(a,1))]. 4274 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3371(a,1),4272(a,2,1,2))]. 4275 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(16(a,1),4068(a,2,1,1,2))]. 4276 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(73(a,1),4275(a,2,2))]. 4277 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(255,a,1744,a(flip),b,4226,a(flip))]. 4278 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(127(a,1),4277(a,2,1,2))]. 4279 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(4239(a,1),4278(a,1,2,1))]. 4280 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(4085(a,1),4098(a,2,2))]. 4281 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(4033(a,2),4005(a,1))]. 4282 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2899(a,1),4214(a,1,1,1))]. 4283 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3976(a,1),4282(a,1,1,1))]. 4284 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(129(a,1),4283(a,1,1))]. 4285 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(4186(a,1),4284(a,2,1))]. 4286 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(255,a,21,a(flip),b,4285,a)]. 4287 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(23,a,2926,a(flip),b,4285,a),flip(a)]. 4290 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(4286(a,1),2831(a,1,1)),flip(a)]. 4291 K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. [para(4287(a,1),3925(a,1,1)),flip(a)]. 4292 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(4291(a,1),3088(a,1,2))]. 4293 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(4291(a,1),3204(a,1,1))]. 4294 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3958(a,1),4013(a,1,2))]. 4295 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(255,a,3957,a(flip),b,4015,a(flip)),flip(a)]. 4296 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((x * y) * T((x * y) \ 1,x)) * x. [para(663(a,1),4095(a,2,1))]. 4297 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = (((x \ (1 / y)) * x) * y) * x. [para(1138(a,1),4296(a,2,1))]. 4298 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (y * ((x \ (y \ 1)) * x)). [hyper(255,a,4271,a(flip),b,4297,a)]. 4299 ((x \ (1 / y)) * x) * y = y * ((x \ (y \ 1)) * x). [hyper(4273,a,4298,a)]. 4300 (x \ 1) * ((y \ ((x \ 1) \ 1)) * y) = ((y \ x) * y) * (x \ 1). [para(70(a,1),4299(a,1,1,1,2)),flip(a)]. 4301 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(255,a,4292,a(flip),b,4300,a(flip))]. 4302 (T(x,T(y,x)) \ x) \ (L(z,y,T(x,T(y,x)) \ x) * T(y,x)) = y * T(z,T(y,x)). [para(4100(a,1),4209(a,1,2,1,3))]. 4303 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(752,a,4294,a)]. 4304 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(255,a,3940,a(flip),b,4303,a(flip))]. 4306 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2263(a,2),4304(a,1,3))]. 4307 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(3068(a,1),4306(a,1,3)),flip(a)]. 4308 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1451(a,1),3978(a,2,2))]. 4309 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(70(a,1),4308(a,1,1))]. 4310 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(255,a,4286,a(flip),b,4309,a)]. 4311 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(564(a,1),4310(a,1,2,2,2))]. 4312 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(288(a,1),4310(a,1,2,2,2))]. 4313 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(255,a,4001,a(flip),b,4312,a(flip)),flip(a)]. 4316 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(4313(a,1),3985(a,1,2,1))]. 4317 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(255,a,3108,a(flip),b,4316,a(flip)),flip(a)]. 4318 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(4317(a,1),4276(a,1,1))]. 4319 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(255,a,4301,a(flip),b,4318,a(flip)),flip(a)]. 4320 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(4318(a,1),24(a,1))]. 4321 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3958(a,1),4012(a,1,2,1))]. 4322 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3955(a,1),4321(a,1,2))]. 4323 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(754,a,4322,a)]. 4324 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(255,a,3940,a(flip),b,4323,a(flip))]. 4326 a(1 / x,y,z) = a(x \ 1,y,z). [para(691(a,1),4324(a,1,1)),flip(a)]. 4327 ((x * (y * T(y \ T(z,x),y))) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(2471(a,1),4097(a,1,1))]. 4328 ((x * ((y \ T(z,x)) * y)) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(127(a,1),4327(a,1,1,1,2))]. 4329 ((x * ((y \ T(z,x)) * y)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(4085(a,1),4328(a,1,2))]. 4330 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(230,a,4064,a),flip(a)]. 4332 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(255,a,4208,a(flip),b,4330,a(flip))]. 4333 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(4170(a,1),4332(a,1,1)),flip(a)]. 4334 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3371(a,1),4333(a,1,2,1,2)),flip(a)]. 4335 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3371(a,1),4334(a,1,1)),flip(a)]. 4336 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(18(a,1),4335(a,1,2,2)),flip(a)]. 4337 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(18(a,1),4336(a,1,2)),flip(a)]. 4338 L(x,y \ T(y,z),y) = x. [hyper(672,a,4337,a)]. 4340 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(96,a,4337,a)]. 4341 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(22,a,1078,a,b,4337,a)]. 4342 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(22,a,4155,a(flip),b,4337,a)]. 4343 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(22,a,1074,a(flip),b,4337,a)]. 4345 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(4077(a,2),4337(a,1,2,1))]. 4347 L(x,y,y \ T(y,z)) = x. [hyper(3466,a,4338,a)]. 4351 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(80,a,4338,a(flip),b,3571,a)]. 4353 L(x,T(y,T(z,y)) \ y,z) = x. [para(4087(a,2),4338(a,1,2))]. 4356 L(x,y,T(z,T(y,z)) \ z) = x. [para(4087(a,2),4347(a,1,3))]. 4357 L(x,T(y,z) \ y,(y * z) / y) = x. [para(166(a,1),4353(a,1,2,1,2))]. 4358 (T(x,T(y,x)) \ x) \ (z * T(y,x)) = y * T(z,T(y,x)). [para(4356(a,1),4302(a,1,2,1))]. 4359 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(80,a,4357,a(flip),b,4280,a),flip(a)]. 4360 R(x,x \ T(x,y),z) = x. [hyper(680,a,4340,a)]. 4361 R(x,x \ (K(y,x) \ x),z) = x. [para(4106(a,1),4360(a,1,2,2))]. 4362 R(x,K(y,x) \ 1,z) = x. [para(3683(a,1),4361(a,1,2))]. 4363 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(255,a,4252,a(flip),b,4341,a(flip))]. 4364 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(255,a,3643,a(flip),b,4341,a(flip))]. 4366 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(96,a,4343,a)]. 4367 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [hyper(87,a,4343,a)]. 4368 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(4343(a,1),222(a,1,2)),flip(b)]. 4372 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(3254,a,4366,a)]. 4373 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(4366(a,1),4268(a,1,1)),flip(a)]. 4375 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(255,a,3490,a(flip),b,4372,a(flip)),flip(a)]. 4377 (T(x,y) \ x) * (x * y) = y * x. [hyper(22,a,4135,a(flip),b,4345,a)]. 4378 K(x,y) = T(T(y,x) \ y,y * x). [hyper(172,a,4377,a,b,104,a),flip(a)]. 4379 (x * y) / (y * x) = T(y,x) \ y. [hyper(96,a,4377,a)]. 4380 T(x,y / x) \ x = y / (x * (y / x)). [hyper(81,a,21,a(flip),b,4377,a),flip(a)]. 4383 T(T(x,x \ y) \ x,y) = K(x \ y,x). [para(19(a,1),4378(a,2,2)),flip(a)]. 4384 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(21(a,1),4379(a,1,2)),flip(a)]. 4385 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(4379(a,2),2710(a,1,2,1)),flip(a)]. 4386 T(x \ (y / (y / x)),y) = K(x \ y,x). [para(4201(a,1),4383(a,1,1))]. 4387 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(255,a,4266,a(flip),b,4385,a),flip(a)]. 4388 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(2044(a,1),4387(a,1,2))]. 4389 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(4359(a,1),19(a,1,2))]. 4390 (x * (y / x)) / y = (x \ y) \ (y / x). [para(129(a,1),4384(a,1,1)),flip(a)]. 4391 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(255,a,4151,a(flip),b,4390,a)]. 4392 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(255,a,4204,a(flip),b,4391,a(flip))]. 4393 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(255,a,4094,a,b,4389,a(flip)),flip(a)]. 4394 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(19(a,1),4368(a,1,2))]. 4395 R(K(x,y),x,z) = K(x,y). [hyper(255,a,4161,a,b,4373,a)]. 4397 (K(x,y) * x) * z = K(x,y) * (x * z). [para(4395(a,1),122(a,1,1)),flip(a)]. 4398 L(x,y,K(y,z)) = x. [hyper(422,a,4397,a)]. 4406 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1291,a,4375,a),flip(a)]. 4408 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(4392(a,1),3251(a,1,1))]. 4409 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(3241,a,4408,a),flip(a)]. 4410 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(18(a,1),4409(a,1,2,2))]. 4411 T(x,(x / y) \ 1) = T(x,x \ y). [para(73(a,1),4409(a,1,2,2)),flip(a)]. 4412 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(4409(a,1),169(a,1,2))]. 4413 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(4409(a,1),199(a,1,2))]. 4415 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4409(a,1),4201(a,1,1)),flip(a)]. 4416 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4409(a,1),4185(a,1,1))]. 4417 (x / y) \ T(x,x \ y) = x * (y / x). [para(4411(a,1),4187(a,1,2))]. 4418 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(73(a,1),4412(a,1,2,2))]. 4419 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(3371(a,1),4413(a,1,2))]. 4420 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(20(a,1),4417(a,2,2))]. 4421 ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). [para(4417(a,1),1812(a,1,1,2,1))]. 4422 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(255,a,128,a(flip),b,4410,a(flip))]. 4423 x / T(y * x,y \ 1) = (y * x) \ x. [para(4410(a,1),199(a,1,2))]. 4424 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(255,a,3371,a(flip),b,4422,a(flip)),flip(a)]. 4425 (x \ ((1 / y) \ x)) * z != (1 / y) \ x | T(x,y) = z. [para(4418(a,1),24(a,1)),flip(a)]. 4426 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(37(a,2),4420(a,1,2,2))]. 4427 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(3046(a,1),4416(a,2,2))]. 4428 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(255,a,4076,a(flip),b,4406,a(flip)),flip(a)]. 4429 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(4406(a,1),4103(a,1,1)),flip(a)]. 4430 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(255,a,4415,a(flip),b,4428,a(flip)),flip(a)]. 4431 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(255,a,1200,a,b,4430,a),flip(a)]. 4432 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(255,a,924,a(flip),b,4430,a)]. 4434 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(4430(a,2),33(a,2,1)),flip(a)]. 4436 T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). [para(4430(a,2),1646(a,1,1))]. 4437 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(4430(a,2),3227(a,2,2)),flip(a)]. 4438 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4431(a,2),3134(a,1,1))]. 4439 T(x,y) \ x = y \ T(y,x). [para(3371(a,1),4432(a,1,1))]. 4440 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(255,a,4076,a(flip),b,4439,a)]. 4441 T(x,y) * (y \ T(y,x)) = x. [para(4439(a,1),19(a,1,2))]. 4442 (x * y) / x = y * (T(y,x) \ y). [para(4439(a,2),4070(a,1,2)),flip(a)]. 4443 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4439(a,2),4337(a,1,2,1))]. 4444 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4439(a,2),4341(a,1,1)),flip(a)]. 4445 K(x,y) = T(x \ T(x,y),y * x). [para(4439(a,1),4378(a,2,1))]. 4446 T(x,T(y,x)) = T(x,y). [hyper(4102,a,4441,a)]. 4447 T(x,y) \ x != z | y \ T(y,x) = z. [para(4441(a,1),222(a,1,2)),flip(b)]. 4448 T(x,y) * T(y,x) = x * y. [para(4441(a,1),4160(a,1,1)),flip(a)]. 4449 T(x,y) \ (x * y) = T(y,x). [hyper(1129,a,4446,a)]. 4450 T(x,x \ y) \ y = T(x \ y,x). [hyper(1128,a,4446,a)]. 4451 R(T(x,x * y),y,x) = T(x,y). [hyper(255,a,4197,a,b,4446,a(flip)),flip(a)]. 4452 (x / T(y,x)) * y = T(x,y). [hyper(255,a,4130,a,b,4446,a(flip)),flip(a)]. 4454 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(255,a,4388,a(flip),b,4446,a(flip))]. 4455 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(255,a,278,a(flip),b,4446,a(flip))]. 4456 T(x,y) / y = x / T(y,x). [hyper(81,a,4446,a(flip),b,4130,a)]. 4457 T(x,y) / (T(y,x) \ x) = y. [hyper(81,a,4446,a(flip),b,1100,a)]. 4458 T(x,y) \ y = x \ T(y,x). [hyper(80,a,4446,a(flip),b,1100,a),flip(a)]. 4459 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(4446(a,1),43(a,1,1)),flip(a)]. 4460 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(43(a,1),4446(a,1,2))]. 4461 T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). [para(4446(a,1),45(a,1,1)),flip(a)]. 4462 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(45(a,2),4446(a,1,2))]. 4463 T(x,y / x) = T(x,x \ y). [para(129(a,1),4446(a,1,2)),flip(a)]. 4465 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(4446(a,1),182(a,1,2,1))]. 4467 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(543(a,1),4446(a,1,2))]. 4468 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(4446(a,1),183(a,1,2,1))]. 4469 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4446(a,1),184(a,1,2,1))]. 4470 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(4446(a,1),361(a,1,2,1))]. 4473 T(x * (T(x,y) \ x),y) = x. [para(4446(a,1),4114(a,1,1,2,1))]. 4474 K(T(x,y),T(y,x)) = K(x,y). [para(4446(a,1),4195(a,1,1))]. 4475 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(4446(a,1),4198(a,1,2)),flip(a)]. 4476 (x / (y * x)) \ T(x,y) = x * y. [para(4446(a,1),4426(a,1,2))]. 4477 T(x,y) * (x \ T(y,x)) = y. [hyper(1099,a,4448,a)]. 4478 T(x,y) \ (y * x) = T(T(y,x),T(x,y)). [hyper(172,a,4448,a,b,19,a),flip(a)]. 4479 (x * y) / T(y,x) = T(x,y). [hyper(96,a,4448,a)]. 4481 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(4448(a,1),29(a,2,1,2)),flip(a)]. 4482 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4448(a,1),29(a,2,2,1)),flip(a)]. 4485 (x * y) * L(z,T(y,x),T(x,y)) = T(x,y) * (T(y,x) * z). [para(4448(a,1),112(a,1,1))]. 4486 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(4448(a,1),122(a,1,2))]. 4489 (T(x,y) / y) \ x = T(y,x). [para(4456(a,2),73(a,1,1))]. 4490 T(x * (y / x),x) = x * (y / T(x,y)). [para(4456(a,1),1688(a,2,2))]. 4491 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). [para(43(a,1),4457(a,1,2,1))]. 4492 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(4458(a,1),101(a,1,1,2,1))]. 4493 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(4458(a,1),2325(a,1,2,1))]. 4494 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(4458(a,1),2115(a,1,2,1))]. 4496 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(255,a,721,a,b,4463,a(flip)),flip(a)]. 4497 (x * (y / x)) / T(x,x \ y) = y / x. [para(4463(a,1),144(a,1,2))]. 4498 x / T(y,x / y) = y \ x. [para(4463(a,2),199(a,1,2))]. 4501 (x * (y / x)) * x = y * T(x,x \ y). [para(4463(a,1),731(a,2,2))]. 4502 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(4463(a,1),816(a,1,2,2))]. 4503 T(x,T(y,x / y)) = T(x,y). [para(4463(a,2),4138(a,1,2))]. 4504 x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. [para(4463(a,2),4215(a,1,2,1))]. 4505 L(R(x,y,x),y,x) = x. [hyper(255,a,4221,a(flip),b,4473,a(flip)),flip(a)]. 4506 T(x / (x / y),y \ x) = y. [para(4202(a,2),4473(a,1,1))]. 4508 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(255,a,4222,a,b,4505,a(flip)),flip(a)]. 4509 R(L(x,y,x),y,x) = x. [hyper(255,a,49,a,b,4505,a(flip)),flip(a)]. 4510 (L(x,y,x) * y) * x = x * (y * x). [para(4505(a,1),460(a,1,1)),flip(a)]. 4511 (x * (y * x)) / x = L(x,y,x) * y. [para(4509(a,1),252(a,1,1,1))]. 4515 (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). [para(47(a,2),4479(a,1,2))]. 4516 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(4479(a,1),894(a,1,1)),flip(a)]. 4518 x / T(y \ x,y) = (y \ x) \ x. [para(70(a,1),4498(a,1,2,2))]. 4519 T(x * y,T(y,x)) = T(x * y,y). [para(20(a,1),4503(a,1,2,2))]. 4522 T(x / (x / (x / y)),y) = x / y. [para(73(a,1),4506(a,1,2))]. 4523 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(4506(a,1),127(a,1,2)),flip(a)]. 4524 ((x \ y) * x) / (x \ y) = y / (y / x). [para(4506(a,1),167(a,1,1,2))]. 4525 R(T(x,y),x \ y,x) = T(x,x \ y). [para(19(a,1),4451(a,1,1,2))]. 4526 ((x * y) / x) \ x = y \ ((y * x) / y). [para(4442(a,2),4225(a,1,1))]. 4527 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(255,a,4236,a,b,4445,a),flip(a)]. 4528 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(255,a,4211,a(flip),b,4450,a)]. 4530 (x \ T(x,x \ y)) \ y = x * T(x \ y,x). [para(4450(a,1),4351(a,2,2))]. 4532 T(x,(1 / x) * y) = T(x,x \ y). [hyper(255,a,3065,a,b,4454,a(flip)),flip(a)]. 4533 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(4454(a,1),4267(a,2,1,2))]. 4534 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(4455(a,1),677(a,1,1))]. 4536 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(45(a,2),4459(a,1,2))]. 4537 T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). [para(4446(a,1),4460(a,1,2)),flip(a)]. 4538 T(x,y) / (x * y) = x / (y * x). [para(4476(a,1),70(a,1,2))]. 4540 (x * (y / x)) / x = y / (y / (y / x)). [para(4522(a,1),167(a,1,1,2))]. 4541 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(4522(a,1),682(a,1,1))]. 4542 x / T(y,(1 / y) * x) = y \ x. [para(4532(a,2),199(a,1,2))]. 4543 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(255,a,163,a,b,4538,a)]. 4544 T(x,x \ y) / y = x / ((x \ y) * x). [para(19(a,1),4538(a,1,2))]. 4545 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(70(a,1),4542(a,1,2,2,1))]. 4546 T(L(x,y,x) * y,x) = y * x. [hyper(172,a,4510,a,b,xx)]. 4547 x * T(y,x * y) = L(y,x,y) * x. [hyper(23,a,885,a,b,4510,a),flip(a)]. 4548 T(x,L(x,y,x) * y) = T(x,y * x). [para(4546(a,1),4446(a,1,2)),flip(a)]. 4549 T((x * y) / x,L(x,y,x)) = y. [hyper(1848,a,4511,a)]. 4550 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(80,a,4511,a,b,xx)]. 4551 (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. [para(4511(a,2),865(a,1))]. 4552 T(x,L(y,x,y)) = T(x,y). [para(4549(a,1),202(a,1,1)),flip(a)]. 4553 T(x,T(y,y * x)) = T(x,y). [hyper(255,a,4467,a,b,4552,a(flip)),flip(a)]. 4554 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(4552(a,1),127(a,1,2))]. 4556 T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). [para(4553(a,1),183(a,1,2,1))]. 4557 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(4553(a,1),184(a,1,2,1))]. 4560 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(255,a,128,a(flip),b,4525,a)]. 4561 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(611,a,4543,a)]. 4562 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R((T(x,y) / (x * y)) \ 1,z,u). [para(4543(a,1),1878(a,1,1)),flip(a)]. 4563 T(x,y * x) = T(x,x * y). [hyper(22,a,547,a,b,4547,a)]. 4564 T(x,(x \ y) * x) = T(x,y). [hyper(22,a,559,a(flip),b,4547,a)]. 4565 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(255,a,47,a,b,4563,a(flip)),flip(a)]. 4566 T(x,x * (1 / y)) = T(x,y \ x). [hyper(255,a,4149,a(flip),b,4563,a(flip))]. 4567 T(x,x * (y / x)) = T(x,y). [para(21(a,1),4563(a,1,2)),flip(a)]. 4568 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4563(a,1),43(a,1,1))]. 4569 T(T(x,y * x),z) = T(T(x,z),x * y). [para(4563(a,2),43(a,1,1))]. 4570 T(T(x,y),(x \ z) * x) = T(T(x,z),y). [para(4564(a,1),43(a,1,1)),flip(a)]. 4571 ((x \ y) * x) * T(x,y) != z | x * ((x \ y) * x) = z. [para(4564(a,1),225(a,1,2))]. 4572 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(4564(a,1),4452(a,1,1,2))]. 4573 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4567(a,1),4477(a,1,1))]. 4574 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(255,a,4563,a(flip),b,4548,a)]. 4575 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(559(a,1),4548(a,1,2))]. 4577 R(T(T(x,y),z),x \ y,x) = T((x \ y) \ y,z). [para(4560(a,1),47(a,2,1))]. 4578 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4574(a,1),1356(a,1,1))]. 4579 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(70(a,1),4438(a,1,1,1,2)),flip(a)]. 4580 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(255,a,4380,a(flip),b,4440,a(flip)),flip(a)]. 4581 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(22,a,1130,a,b,4443,a)]. 4582 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(255,a,4389,a,b,4444,a),flip(a)]. 4583 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(255,a,4459,a(flip),b,4478,a)]. 4584 T(x,y) * T(T(y,x),x) = y * x. [para(4583(a,1),19(a,1,2))]. 4585 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(45(a,2),4583(a,1,1))]. 4586 (x * y) / T(T(x,y),y) = T(y,x). [para(4583(a,1),70(a,1,2))]. 4587 (x \ y) * T(y,y \ (x \ y)) = (x \ T(y,x \ 1)) * y. [para(4178(a,2),4501(a,1,1)),flip(a)]. 4589 T(x,x \ T(x * y,y)) = T(x,y). [para(4508(a,1),4140(a,1,2)),flip(a)]. 4590 K(x,x \ T(x * y,y)) = K(x,y). [para(4508(a,1),4242(a,1,2)),flip(a)]. 4591 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(255,a,4213,a,b,4590,a(flip))]. 4592 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(255,a,1367,a,b,4523,a(flip)),flip(a)]. 4593 T(x / (x / y),x) = L(y,y \ x,y). [para(4524(a,1),621(a,1,1))]. 4594 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(4593(a,2),45(a,2,1)),flip(a)]. 4595 L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). [para(70(a,1),4593(a,1,1,2)),flip(a)]. 4596 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(4593(a,2),418(a,1,2))]. 4597 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(4540(a,1),808(a,1,1))]. 4598 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(4409(a,1),4544(a,1,1))]. 4599 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [para(4545(a,1),73(a,1,1)),flip(a)]. 4600 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(4554(a,1),25(a,1)),flip(a)]. 4601 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(129(a,1),4561(a,1,3)),flip(a)]. 4602 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(255,a,43,a,b,4568,a(flip))]. 4603 K(x \ y,x) \ x = x * K(x,y / x). [hyper(4166,a,4579,a),flip(a)]. 4604 ((x \ y) * x) * (y / x) = y * (x \ y). [para(4592(a,1),21(a,1,1))]. 4605 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3685,a,4603,a)]. 4606 K(x,(x * y) / x) = K(y,x) \ 1. [para(18(a,1),4605(a,1,1,1)),flip(a)]. 4607 K(T(x,y),y) \ 1 = K(y,x). [para(167(a,1),4606(a,1,2)),flip(a)]. 4609 K(T(x,y),y) * K(y,x) = 1. [para(4607(a,1),19(a,1,2))]. 4610 R(x,K(x,y),z) = x. [para(4607(a,1),4362(a,1,2))]. 4611 R(T(x,y),K(x,z),u) = T(x,y). [para(4610(a,1),47(a,2,1))]. 4612 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4610(a,1),460(a,1,1,1)),flip(a)]. 4614 K(T(x,y),y) * z != 1 | K(y,x) = z. [para(4609(a,1),24(a,1)),flip(a)]. 4615 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4609(a,1),222(a,1,2)),flip(b)]. 4616 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4611(a,1),461(a,1,1,1)),flip(a)]. 4617 (x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y). [para(73(a,1),4604(a,1,1,1))]. 4618 R(x,y,T(x,y)) = R(x,y,x). [hyper(23,a,462,a,b,4475,a),flip(a)]. 4620 x \ T(y * x,y) = R(y,x,y). [hyper(255,a,986,a,b,4618,a(flip)),flip(a)]. 4621 x * R(y,x,y) = T(y * x,y). [para(4618(a,1),987(a,1,2))]. 4622 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4618(a,1),1961(a,1,2)),flip(a)]. 4623 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(4446(a,1),4618(a,1,3))]. 4624 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(19(a,1),4620(a,1,2,1)),flip(a)]. 4625 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4620(a,1),114(a,1,1)),flip(a)]. 4626 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4621(a,1),222(a,1,2)),flip(b)]. 4627 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4621(a,1),3735(a,2,1))]. 4628 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4621(a,1),4591(a,2,1))]. 4629 K(x \ T(x * y,x),x) = K(y,x). [hyper(255,a,1695,a(flip),b,4628,a),flip(a)]. 4630 K(x \ T(y,x),x) = K(x \ y,x). [para(19(a,1),4629(a,1,1,2,1))]. 4631 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(166(a,1),4630(a,1,1,2)),flip(a)]. 4632 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(4526(a,2),4631(a,1,1))]. 4633 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4632(a,1),4279(a,1,2)),flip(a)]. 4634 T(x,y) * T(T(y,z),x) = T(y,z) * T(x,y). [para(43(a,1),4465(a,1,2))]. 4635 T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4446(a,1),4491(a,1,2,1))]. 4636 (x \ T(x,x \ y)) \ y = (x \ y) * x. [hyper(255,a,127,a(flip),b,4530,a)]. 4637 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(128(a,1),4636(a,1,1,2))]. 4638 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(4637(a,1),70(a,1,2))]. 4639 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(255,a,4391,a,b,4638,a),flip(a)]. 4640 T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). [hyper(255,a,4460,a(flip),b,4537,a)]. 4641 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(255,a,4564,a(flip),b,4575,a)]. 4642 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4641(a,1),1355(a,1,1))]. 4643 x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. [hyper(255,a,1557,a(flip),b,4581,a),flip(a)]. 4644 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(255,a,1604,a,b,4582,a(flip)),flip(a)]. 4647 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(4601(a,1),354(a,1,1))]. 4648 T(x,(y \ x) * y) = x. [hyper(4250,a,4633,a)]. 4649 T((x \ y) * x,y) = (x \ y) * x. [hyper(40,a,4648,a)]. 4650 T(x * (y / x),y) = x * (y / x). [para(75(a,1),4648(a,1,2))]. 4651 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4650(a,2),4639(a,1,1))]. 4652 L(T(x,y),T(z,x),z / T(z,x)) * z = (z / T(z,x)) * (T(x,y) * T(z,x)). [para(4634(a,1),676(a,1,2)),flip(a)]. 4653 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(4243(a,1),4651(a,1,1,1)),flip(a)]. 4654 R(T(T(x,y),(x \ z) * x),x \ z,x) = T((x \ z) \ z,y). [para(4570(a,2),4577(a,1,1))]. 4656 ((x \ y) / y) * (x * (y / x)) = y / x. [para(4647(a,1),713(a,1,2))]. 4657 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(255,a,4111,a(flip),b,4429,a)]. 4658 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(255,a,4446,a(flip),b,4657,a(flip))]. 4659 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(255,a,4446,a(flip),b,4658,a(flip))]. 4660 T(x,y / (z * y)) = T(x,z \ 1). [para(18(a,1),4659(a,1,2,1))]. 4661 T(x,(y / z) \ 1) = T(x,z / y). [para(73(a,1),4659(a,1,2,1)),flip(a)]. 4665 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4661(a,1),4274(a,1,1,2))]. 4666 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(542(a,1),4468(a,1,2))]. 4667 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(255,a,4554,a(flip),b,4666,a)]. 4669 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4563(a,2),4667(a,1,2))]. 4670 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(255,a,561,a,b,4669,a(flip)),flip(a)]. 4672 L(x,T(y,x),x) = L(x,y,x). [hyper(4600,a,4670,a),flip(a)]. 4673 (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(4469(a,1),176(a,1,1,2))]. 4674 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4451(a,1),4469(a,1,2)),flip(a)]. 4675 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4496(a,1),4469(a,1,2)),flip(a)]. 4676 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4525(a,1),4469(a,1,2)),flip(a)]. 4678 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4454(a,1),4527(a,1,2,2,1))]. 4679 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4678(a,1),19(a,1,2)),flip(a)]. 4680 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(4237,a,4679,a)]. 4681 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(255,a,4255,a,b,4680,a(flip)),flip(a)]. 4682 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(255,a,3702,a(flip),b,4681,a)]. 4683 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(255,a,3723,a,b,4682,a(flip)),flip(a)]. 4684 K((1 / x) * y,x) = K(x \ y,x). [para(18(a,1),4683(a,1,1,2)),flip(a)]. 4685 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(37(a,2),4684(a,2,1))]. 4686 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(70(a,1),4684(a,1,1,1)),flip(a)]. 4687 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(856(a,1),4685(a,1,1))]. 4688 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(255,a,3724,a(flip),b,4687,a(flip)),flip(a)]. 4689 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4688(a,1),4607(a,1,1))]. 4690 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4615,a,4689,a),flip(a)]. 4691 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [hyper(255,a,3550,a(flip),b,4690,a(flip))]. 4692 K(x,x \ ((x \ 1) \ y)) = K(x,y). [para(19(a,1),4690(a,1,2)),flip(a)]. 4693 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). [para(3435(a,2),4690(a,1,2,1)),flip(a)]. 4694 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(23,a,1676,a(flip),b,4572,a)]. 4695 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [para(4694(a,1),21(a,1,1))]. 4697 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1684(a,1),4573(a,1,2))]. 4698 T(x,y) * (y / T(x,y)) = x * (y / x). [para(4456(a,1),4697(a,1,2))]. 4699 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4698(a,1),24(a,1)),flip(a)]. 4700 (T(x,y \ 1) / (y \ x)) \ x = (x \ (y \ x)) * x. [para(4598(a,2),73(a,1,1))]. 4701 (x * (y / x)) * (y / (y / x)) = y * x. [para(73(a,1),4617(a,2,2))]. 4702 (x * y) * ((y * x) / ((y * x) / x)) = (y * x) * x. [para(20(a,1),4701(a,1,1,2))]. 4703 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [para(3371(a,1),4700(a,1,1,1))]. 4704 (x * y) * ((y * x) / y) = (y * x) * x. [para(20(a,1),4702(a,1,2,2))]. 4705 x * (((y \ x) * y) / (y \ x)) = ((y \ x) * y) * y. [hyper(519,a,4704,a)]. 4706 ((x \ y) * x) * x = y * (y / (y / x)). [para(4524(a,1),4705(a,1,2)),flip(a)]. 4707 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(4458(a,1),4706(a,1,1,1))]. 4708 (x * R(x * K(y,x),z,u)) / R(x * K(y,x),z,u) = T(x,R(x * K(y,x),z,u)). [para(976(a,1),4515(a,1,2,1))]. 4709 T(x,y) \ T(x * y,y) = R(y,x,y). [para(4589(a,1),4528(a,1,1))]. 4710 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(37(a,1),4709(a,1,1))]. 4711 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(255,a,4622,a(flip),b,4674,a)]. 4712 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4711(a,1),4625(a,1,2))]. 4714 R(x,y / x,x) = R(x,x \ y,x). [hyper(23,a,4675,a,b,4676,a),flip(a)]. 4715 R(x,x \ (y \ x),x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [hyper(255,a,4189,a(flip),b,4714,a(flip))]. 4716 R(x,(x * y) / x,x) = R(x,y,x). [para(18(a,1),4714(a,2,2))]. 4717 R(x,T(y,x),x) = R(x,y,x). [para(167(a,1),4716(a,1,2)),flip(a)]. 4718 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(255,a,4623,a,b,4717,a(flip)),flip(a)]. 4719 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4718(a,1),51(a,1,1)),flip(a)]. 4720 (x \ T(y,x \ 1)) * y = (x \ y) * T(y,x \ 1). [para(4409(a,1),4587(a,1,2)),flip(a)]. 4721 L(x,K(y,z),L(y,u,w)) = x. [hyper(422,a,4612,a)]. 4722 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3324(a,1),4612(a,1,1))]. 4723 L(x,K(y,z),y) = x. [para(319(a,1),4721(a,1,3))]. 4729 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(255,a,1574,a(flip),b,4643,a(flip))]. 4730 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4719(a,1),4486(a,1,1)),flip(a)]. 4731 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(255,a,627,a(flip),b,4541,a)]. 4732 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(4540(a,2),4731(a,1,2))]. 4733 ((x \ y) * x) * T((x \ y) \ y,z) = (T(x,z) * (x \ y)) * x. [para(4654(a,1),573(a,1,2))]. 4734 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(20(a,1),4665(a,1,1,2,2))]. 4735 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(255,a,3170,a(flip),b,4734,a(flip))]. 4736 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4735(a,1),4093(a,1,1))]. 4737 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(4113,a,4736,a)]. 4739 T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). [para(167(a,1),4737(a,1,3)),flip(a)]. 4740 L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). [hyper(537,a,4739,a)]. 4741 L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). [hyper(255,a,3212,a(flip),b,4740,a(flip)),flip(a)]. 4742 R(x,x \ (y \ x),x) = ((y \ x) * T(x,y \ 1)) / (y \ x). [para(4720(a,1),4715(a,2,1))]. 4743 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(4341(a,1),4363(a,2,2))]. 4744 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(3072(a,1),4364(a,1,2))]. 4745 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(255,a,3552,a(flip),b,4744,a(flip))]. 4746 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(4516(a,2),4470(a,1))]. 4747 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(255,a,4342,a(flip),b,4533,a)]. 4748 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [para(4695(a,1),4707(a,1,1))]. 4749 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [hyper(4571,a,4748,a),flip(a)]. 4750 x / (x / T(y,x)) = T(x / (x / y),x). [hyper(22,a,4596,a,b,4749,a)]. 4751 T(x / (x / y),x) \ x = x / T(y,x). [para(4750(a,1),73(a,1,1))]. 4752 x / T(y \ x,x) = T(x / y,x) \ x. [para(70(a,1),4751(a,1,1,1,2)),flip(a)]. 4753 ((x \ y) * x) * T(T(x,x \ y),z) = (T(x,z) * (x \ y)) * x. [para(128(a,2),4733(a,1,2,1))]. 4754 (x * y) * T(T(y,y \ (y * x)),z) = (T(y,z) * (y \ (y * x))) * y. [para(18(a,1),4753(a,1,1,1))]. 4755 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4735(a,1),4393(a,1,1))]. 4756 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(4394,a,4755,a),flip(a)]. 4758 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(4368,a,4755,a),flip(a)]. 4759 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [hyper(255,a,4444,a,b,4755,a)]. 4761 x \ (y * (T(y,z) \ x)) = T(T(y,z) \ y,x). [hyper(172,a,4756,a,b,19,a),flip(a)]. 4762 T(x,y) * (x \ z) = y * (T(y,x) \ z). [hyper(255,a,4444,a,b,4756,a(flip)),flip(a)]. 4763 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(255,a,4729,a(flip),b,4756,a(flip))]. 4764 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(255,a,4581,a(flip),b,4756,a(flip)),flip(a)]. 4768 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(80,a,19,a(flip),b,4758,a)]. 4769 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(255,a,4444,a,b,4758,a(flip)),flip(a)]. 4770 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(80,a,4758,a(flip),b,4389,a),flip(a)]. 4771 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4758(a,1),4443(a,1,2)),flip(a)]. 4772 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(80,a,4736,a(flip),b,4759,a(flip)),flip(a)]. 4773 K(x \ (x / (y \ (z \ y))),x) = y \ (x * (T(x,z) \ y)). [para(4762(a,1),1561(a,2,2))]. 4774 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(255,a,112,a,b,4771,a)]. 4775 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(4764(a,1),958(a,1))]. 4776 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(4126,a,4770,a),flip(a)]. 4777 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(255,a,1081,a(flip),b,4772,a)]. 4778 ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). [hyper(255,a,1603,a(flip),b,4777,a(flip)),flip(a)]. 4779 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(367,a,4774,a),flip(a)]. 4780 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(22,a,4485,a,b,4774,a(flip)),flip(a)]. 4781 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(129(a,1),4780(a,1,2))]. 4782 L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). [para(4463(a,1),4781(a,1,3))]. 4783 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(674,a,4776,a),flip(a)]. 4784 K(x \ (x / (y \ (z \ y))),x) = T(T(x,z) \ x,y). [hyper(255,a,4761,a(flip),b,4773,a)]. 4785 T(x,(y \ (z \ y)) \ 1) \ x = T(T(x,z) \ x,y). [hyper(255,a,4431,a(flip),b,4784,a(flip)),flip(a)]. 4786 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4771(a,1),4482(a,1,1))]. 4787 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(636,a,4786,a),flip(a)]. 4788 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4786(a,1),636(a,1))]. 4789 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(255,a,461,a(flip),b,4730,a)]. 4790 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1318(a,1),4789(a,1,1))]. 4791 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(255,a,4622,a(flip),b,4790,a(flip))]. 4792 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(4791(a,1),222(a,1,2))]. 4793 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4640(a,1),4635(a,1,1))]. 4794 T(x,T(y,T(x,z))) = T(x,y). [hyper(255,a,4491,a(flip),b,4793,a(flip))]. 4797 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(188(a,1),4794(a,1,2,2))]. 4800 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(4797(a,1),4594(a,1,1))]. 4801 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4747(a,1),4653(a,1,2)),flip(a)]. 4802 ((x \ y) * x) / y = y / (x * (y / x)). [para(4649(a,1),4801(a,1,1))]. 4803 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(255,a,4580,a(flip),b,4802,a)]. 4804 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(255,a,4319,a,b,4803,a(flip)),flip(a)]. 4805 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4804(a,1),4293(a,2,2))]. 4806 L(x,T(y,y \ z) \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). [hyper(255,a,3214,a,b,4741,a(flip))]. 4807 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3359(a,1),4745(a,1,1)),flip(a)]. 4808 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4807(a,1),3537(a,1,2))]. 4809 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4808(a,1),260(a,1,1)),flip(a)]. 4810 (T(x,y) * (x \ (x * z))) * x = (z * x) * T(T(x,z),y). [para(18(a,1),4754(a,1,2,1,2)),flip(a)]. 4811 (x * y) * T(T(y,x),z) = (T(y,z) * x) * y. [para(18(a,1),4810(a,1,1,2)),flip(a)]. 4812 (x * y) * T(T(y,z),x) = (T(y,z) * x) * y. [para(43(a,1),4811(a,1,2))]. 4813 L(K(x,y) \ T(T(x,y),z),K(x,y),y * x) = (x * y) \ ((T(x,z) * y) * x). [para(4811(a,1),444(a,2,2))]. 4814 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(868,a,4812,a)]. 4815 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(255,a,4768,a(flip),b,4434,a(flip)),flip(a)]. 4816 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(4792,a,4712,a)]. 4817 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(255,a,4743,a(flip),b,4815,a(flip)),flip(a)]. 4818 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4769(a,1),4817(a,1,2)),flip(a)]. 4819 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(255,a,190,a(flip),b,4818,a)]. 4821 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(255,a,3975,a(flip),b,4819,a(flip))]. 4823 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4821(a,1),3730(a,2,2))]. 4824 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(73(a,1),4732(a,2,1,2))]. 4825 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(1188,a,4627,a),flip(a)]. 4826 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2270(a,1),4825(a,1,1)),flip(a)]. 4827 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(81,a,4826,a(flip),b,1182,a)]. 4829 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(2694(a,1),4827(a,1,1))]. 4830 T(x,R(x * K(y,x),z,u)) = x. [hyper(304,a,4708,a)]. 4832 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(255,a,4809,a(flip),b,4823,a)]. 4833 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(4281,a,4832,a)]. 4835 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(255,a,97,a(flip),b,4833,a)]. 4837 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4835(a,1),3209(a,1,2))]. 4838 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4837(a,1),4295(a,1,2)),flip(a)]. 4840 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(255,a,2913,a(flip),b,4838,a)]. 4844 R(x,K(y \ 1,y),z) = x. [para(19(a,1),4840(a,1,3))]. 4847 R(x,y,K(z \ 1,z)) = x. [hyper(255,a,4046,a(flip),b,4844,a(flip)),flip(a)]. 4848 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4844(a,1),122(a,1,1)),flip(a)]. 4849 R(x,K(y,y \ 1),z) = x. [para(1449(a,1),4844(a,1,2))]. 4854 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [hyper(255,a,4028,a(flip),b,4847,a(flip))]. 4855 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(255,a,3999,a(flip),b,4847,a(flip)),flip(a)]. 4856 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(255,a,3949,a(flip),b,4847,a(flip))]. 4857 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(255,a,3013,a(flip),b,4847,a(flip))]. 4858 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(255,a,2933,a(flip),b,4847,a(flip))]. 4859 R(x,y,K(z,1 / z)) = x. [para(73(a,1),4847(a,1,3,1))]. 4860 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4847(a,1),122(a,1,1)),flip(a)]. 4861 (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). [para(4847(a,1),379(a,1,1)),flip(a)]. 4862 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4847(a,1),451(a,1,1))]. 4864 R(x,y,K(z,z \ 1)) = x. [para(1449(a,1),4847(a,1,3))]. 4865 R(x,y,K(1 / z,z)) = x. [para(1533(a,2),4847(a,1,3))]. 4866 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4847(a,1),2284(a,1,1))]. 4867 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [para(4849(a,1),122(a,1,1)),flip(a)]. 4868 (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). [para(4859(a,1),122(a,1,1)),flip(a)]. 4869 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(3010,a,4864,a)]. 4874 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(255,a,3932,a(flip),b,4864,a(flip))]. 4875 K(x,x \ 1) / (K(x,x \ 1) * y) = 1 / y. [hyper(255,a,2274,a(flip),b,4864,a(flip)),flip(a)]. 4876 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4864(a,1),122(a,1,1)),flip(a)]. 4877 (x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1). [para(4864(a,1),379(a,1,1)),flip(a)]. 4878 x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1). [para(4864(a,1),451(a,1,1))]. 4879 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4864(a,1),2275(a,1,1))]. 4882 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(2511(a,1),4856(a,1,2))]. 4883 T(x,y * (1 / z)) = T(x,y * (z \ 1)). [para(2809(a,1),4856(a,1,2)),flip(a)]. 4884 T(x,y * (1 / (1 / z))) = T(x,y * z). [para(2923(a,1),4856(a,1,2))]. 4886 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(3077(a,1),4856(a,1,2))]. 4887 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(3092(a,1),4856(a,1,2))]. 4888 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(3098(a,1),4856(a,1,2)),flip(a)]. 4889 T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). [para(3205(a,1),4856(a,1,2)),flip(a)]. 4891 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4857(a,1),122(a,1,1))]. 4894 T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). [hyper(255,a,3863,a(flip),b,4874,a)]. 4896 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2272(a,1),4874(a,1,2))]. 4897 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(3028(a,1),4874(a,1,2))]. 4899 T(x,y * (z * K(u,u \ 1))) = T(x,y * z). [para(3888(a,1),4874(a,1,2))]. 4901 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4854(a,1),4763(a,1,2,1))]. 4902 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(255,a,629,a(flip),b,4886,a(flip))]. 4903 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(3435(a,2),4886(a,1,2,1))]. 4905 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(3174(a,1),4888(a,2,2))]. 4906 K((x \ 1) * y,x \ y) = 1. [hyper(41,a,4902,a)]. 4907 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(2271,a,4861,a)]. 4910 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. [para(2924(a,1),4875(a,1,2)),flip(a)]. 4911 (x \ K(y,y \ 1)) * y = (x \ 1) * ((y \ 1) \ 1). [para(4877(a,1),2900(a,1,1))]. 4912 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(2910(a,1),4899(a,1,2,2))]. 4913 T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). [para(4910(a,1),3863(a,1,2,1)),flip(a)]. 4914 L(x,K(y \ 1,y),z) = x. [hyper(422,a,4848,a)]. 4915 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(255,a,3958,a(flip),b,4848,a(flip)),flip(a)]. 4920 L(x,K(y,y \ 1),z) = x. [para(1449(a,1),4914(a,1,2))]. 4927 L(x,y * (1 / y),z) = x. [para(1448(a,1),4920(a,1,2))]. 4930 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2263(a,2),4855(a,1,2))]. 4932 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(2871(a,1),4858(a,2,2))]. 4933 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(2697,a,4860,a)]. 4934 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2271,a,4860,a)]. 4935 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(422,a,4860,a)]. 4938 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4860(a,1),3958(a,1,1))]. 4939 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4860(a,1),3992(a,1,1))]. 4940 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(255,a,1430,a,b,4933,a(flip)),flip(a)]. 4944 a(x,y,K(z \ 1,z)) = 1. [hyper(39,a,4935,a)]. 4945 L(K(x \ y,y \ x),z,u) = K((y \ x) \ 1,y \ x). [para(2789(a,1),4935(a,1,1))]. 4948 a(x,y,K(1 / z,z)) = 1. [para(1533(a,2),4944(a,1,3))]. 4949 L(K(1 / x,x),y,z) = K(1 / x,x). [hyper(38,a,4948,a)]. 4950 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(255,a,3933,a,b,4862,a(flip)),flip(a)]. 4951 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(691(a,1),4862(a,1,2)),flip(a)]. 4952 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(4016(a,1),4951(a,1,2))]. 4953 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4951(a,1),4856(a,1,2)),flip(a)]. 4954 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(255,a,2263,a,b,4866,a)]. 4955 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [hyper(255,a,3925,a(flip),b,4867,a(flip)),flip(a)]. 4956 (K(x,1 / x) * y) * z = y * (z * K(x,1 / x)). [hyper(23,a,4002,a(flip),b,4868,a)]. 4957 K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). [hyper(255,a,2259,a,b,4868,a(flip)),flip(a)]. 4958 K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). [hyper(3889,a,4876,a)]. 4960 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(422,a,4876,a)]. 4964 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(80,a,4958,a(flip),b,1448,a(flip))]. 4966 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(80,a,4964,a(flip),b,1463,a(flip)),flip(a)]. 4967 (K(x \ 1,x) * y) \ z = (y \ z) * K(x,x \ 1). [hyper(255,a,4006,a,b,4878,a(flip)),flip(a)]. 4969 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(255,a,2247,a,b,4879,a)]. 4970 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2938,a,4915,a)]. 4973 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(K(z \ 1,z) * u,y,x). [para(4915(a,2),33(a,2,2,2)),flip(a)]. 4978 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4915(a,1),4866(a,1,2))]. 4979 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u * K(z \ 1,z),y,x). [para(4934(a,2),33(a,2,2,2)),flip(a)]. 4981 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(255,a,2263,a,b,4950,a)]. 4982 T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). [para(4950(a,2),4856(a,1,2))]. 4983 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(2936(a,1),4982(a,1,2,1))]. 4984 T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). [para(3036(a,1),4982(a,1,2,1)),flip(a)]. 4985 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [hyper(255,a,4004,a(flip),b,4954,a(flip))]. 4987 (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(4955(a,2),29(a,2,2,1)),flip(a)]. 4990 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2936(a,1),4955(a,2,2))]. 4991 K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). [para(2937(a,1),4955(a,2,2))]. 4992 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(3090(a,1),4955(a,2,2))]. 4993 x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). [para(4955(a,1),4879(a,1,2))]. 4994 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(4955(a,1),4950(a,1,1))]. 4995 (K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z). [hyper(255,a,2247,a,b,4967,a)]. 4997 x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. [para(4969(a,2),2253(a,1))]. 5000 K(x \ 1,x) * ((y * x) \ z) = (y * ((x \ 1) \ 1)) \ z. [para(2898(a,1),4981(a,1,1)),flip(a)]. 5001 K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. [para(4052(a,1),4981(a,1,1)),flip(a)]. 5002 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [para(3050(a,1),4995(a,1,1)),flip(a)]. 5003 K((x \ y) \ 1,x \ y) != z | K(y \ x,x \ y) = z. [para(4945(a,1),323(a,1)),flip(b)]. 5004 L(K(x \ y,y \ x),z,u) != w | K(x \ y,y \ x) = w. [para(4945(a,2),5003(a,1))]. 5005 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(4775,a,4901,a)]. 5006 T(x * (y / x),z) = x * (T(y,z) / x). [para(5005(a,1),19(a,1,2)),flip(a)]. 5007 T(x * y,z) / y = y \ T(y * x,z). [para(20(a,1),5005(a,1,2,1,2)),flip(a)]. 5008 (x \ T(x * (y / x),z)) * x = T(y,z). [para(5005(a,2),21(a,1,1))]. 5009 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(70(a,1),5005(a,1,2,1,2))]. 5011 T((x \ y) * x,z) / x = x \ T(y,z). [para(69(a,1),5005(a,1,2,1)),flip(a)]. 5012 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [para(5005(a,1),170(a,1,2,2))]. 5016 x * (T(y * x,z) / x) = T(x * y,z). [para(20(a,1),5006(a,1,1,2)),flip(a)]. 5020 T(x * (y / x),K(z,y)) = x * (y / x). [para(3140(a,1),5006(a,2,2,1))]. 5021 T(x * (y / x),K(y,z)) = x * (y / x). [para(3316(a,1),5006(a,2,2,1))]. 5022 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(4463(a,1),5006(a,2,2,1))]. 5023 x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). [hyper(964,a,5007,a),flip(a)]. 5024 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(255,a,848,a,b,5007,a),flip(a)]. 5025 (x \ T(x * y,z)) * x = T(y * x,z). [para(5007(a,1),21(a,1,1))]. 5026 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(5007(a,1),129(a,1,1))]. 5027 T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,z). [para(104(a,1),5007(a,2,2,1))]. 5028 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(5007(a,1),4249(a,1,2))]. 5029 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). [hyper(255,a,2945,a,b,5008,a(flip)),flip(a)]. 5030 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(69(a,1),5008(a,1,1,2,1)),flip(a)]. 5031 x \ T((x \ y) * x,z) = T(x \ T(y,z),x). [para(5011(a,1),129(a,1,1)),flip(a)]. 5037 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(5016(a,1),4567(a,1,2)),flip(a)]. 5038 T(x * (y / x),K(z,y)) != x * u | y / x = u. [para(5020(a,2),24(a,1))]. 5039 T(K(x,y),z * (x / z)) = K(x,y). [hyper(40,a,5021,a)]. 5040 T(K(x * y,z),y * x) = K(x * y,z). [para(20(a,1),5039(a,1,2,2))]. 5046 T(x,y) \ T((z \ x) * z,y) = K(z \ T(x,y),z). [hyper(80,a,5030,a,b,263,a)]. 5047 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(5030(a,2),25(a,1))]. 5048 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(5030(a,1),127(a,1,2))]. 5050 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(129(a,1),5030(a,2,1,2))]. 5051 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(5030(a,2),106(a,1,1))]. 5052 ((x * T((y \ z) * y,x)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(5030(a,2),4329(a,1,1,1,2))]. 5053 K(x * y,z) * (y * x) = (y * x) * K(x * y,z). [para(5040(a,1),127(a,1,2)),flip(a)]. 5055 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(129(a,1),5012(a,1,2,2,1)),flip(a)]. 5057 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(129(a,1),5048(a,1,2,1,2)),flip(a)]. 5059 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(5050(a,1),167(a,1,1,2))]. 5060 (x \ y) \ T((x \ y) * x,x) = (y * x) / y. [hyper(255,a,1116,a(flip),b,5009,a)]. 5061 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(255,a,5006,a,b,5022,a)]. 5062 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1780(a,1),5024(a,2,1,1))]. 5063 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(2938,a,5029,a),flip(a)]. 5064 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [hyper(2931,a,5029,a),flip(a)]. 5067 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(255,a,4330,a(flip),b,5055,a(flip))]. 5068 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(162(a,2),5055(a,2,2,2,1))]. 5069 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(255,a,4065,a,b,5057,a(flip)),flip(a)]. 5070 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(163(a,2),5057(a,1,1,1,2))]. 5071 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(18(a,1),5059(a,1,1,2,1,2))]. 5072 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(5059(a,1),226(a,1,1)),flip(b)]. 5073 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(255,a,4661,a,b,5061,a(flip)),flip(a)]. 5075 T(x * K(y,y \ 1),z) = K(y,y \ 1) * T(x,z). [para(2247(a,1),5063(a,1,1))]. 5078 T(((x \ 1) \ 1) \ y,z) * K(x,x \ 1) = T(x \ y,z). [para(3036(a,1),5064(a,1,1)),flip(a)]. 5079 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(4551,a,5071,a),flip(a)]. 5080 (x \ ((y * (x * z)) / y)) * x = (y * (z * x)) / y. [para(18(a,1),5071(a,1,1,2,1)),flip(a)]. 5081 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * ((z * (((x * z) / x) \ y)) / z). [hyper(255,a,2736,a,b,5080,a)]. 5082 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(3347(a,1),4905(a,1,2))]. 5083 (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). [para(1454(a,1),4932(a,1,1)),flip(a)]. 5085 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4940(a,1),19(a,1,2))]. 5086 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(255,a,1400,a,b,5028,a(flip)),flip(a)]. 5087 T(x,T(((y \ 1) \ 1) \ z,u)) = T(x,T(y \ z,u)). [para(5078(a,1),4874(a,1,2)),flip(a)]. 5088 T(x,T((1 / y) \ z,u)) = T(x,T((y \ 1) \ z,u)). [para(73(a,1),5087(a,1,2,1,1,1)),flip(a)]. 5089 (L(x,y,z) \ 1) * T(x,x \ 1) = L(x,y,z) \ x. [hyper(2880,a,5085,a)]. 5090 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(5085(a,1),2831(a,1,1))]. 5091 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4891(a,1),25(a,1))]. 5094 T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). [para(4054(a,2),4894(a,1,2))]. 5095 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(81,a,4938,a(flip),b,122,a)]. 5096 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(4014,a,4939,a),flip(a)]. 5097 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(23,a,3092,a,b,4952,a)]. 5098 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(255,a,3811,a(flip),b,5097,a)]. 5099 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(33(a,2),4978(a,2,1))]. 5100 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). [hyper(636,a,4993,a),flip(a)]. 5101 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(5072,a,5086,a)]. 5103 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). [para(3937(a,1),5094(a,1,2,1))]. 5104 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(255,a,4979,a(flip),b,5099,a(flip)),flip(a)]. 5105 L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). [hyper(255,a,4973,a(flip),b,5099,a(flip)),flip(a)]. 5108 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [hyper(255,a,2263,a,b,5105,a)]. 5110 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(2913(a,1),5108(a,1,1)),flip(a)]. 5111 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(2938,a,5110,a),flip(a)]. 5112 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(2931,a,5110,a),flip(a)]. 5113 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(255,a,2992,a(flip),b,5110,a(flip)),flip(a)]. 5115 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(20(a,1),5113(a,1,1,2,1,2))]. 5116 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(5113(a,1),69(a,1,2,1)),flip(a)]. 5117 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(69(a,1),5113(a,1,1,2,1)),flip(a)]. 5118 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(5117(a,1),112(a,1,2))]. 5119 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(437(a,1),5117(a,2,1,2))]. 5120 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(439(a,1),5117(a,2,1,2))]. 5122 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(1522(a,1),5111(a,1,1)),flip(a)]. 5123 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [para(5111(a,2),4879(a,1,2))]. 5124 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(255,a,1543,a(flip),b,5122,a(flip)),flip(a)]. 5125 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(128(a,1),5124(a,2,1))]. 5126 L(x,y,z) * K(x,x \ 1) = L((x \ 1) \ 1,y,z). [hyper(2304,a,5125,a)]. 5127 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(87,a,5125,a)]. 5128 L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). [para(1445(a,2),5126(a,1,2))]. 5129 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(255,a,1279,a,b,5127,a(flip)),flip(a)]. 5130 K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). [para(5128(a,1),4957(a,2,2))]. 5131 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2476,a,5129,a)]. 5132 L(x,y,z) / x = x \ L(x,y,z). [hyper(96,a,5131,a)]. 5133 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(87,a,5131,a)]. 5134 (1 / x) * L(x,y,z) = x \ L(x,y,z). [hyper(255,a,1040,a,b,5132,a(flip)),flip(a)]. 5137 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(5133(a,1),398(a,1,2,1)),flip(a)]. 5138 T(1 / x,L(x,y,z)) = x \ 1. [hyper(172,a,5134,a,b,1153,a)]. 5139 K(x,T(y \ 1,L(y,z,u))) = K(x,y \ 1). [para(5138(a,1),3710(a,1,2)),flip(a)]. 5140 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1457(a,1),5112(a,1,1)),flip(a)]. 5141 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(5140(a,1),3973(a,1,1)),flip(a)]. 5142 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(5140(a,1),3980(a,1,1))]. 5143 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [hyper(80,a,5137,a(flip),b,1078,a)]. 5144 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(255,a,1438,a(flip),b,5141,a(flip)),flip(a)]. 5145 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(241(a,1),5118(a,1,2,1,2))]. 5146 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(80,a,5119,a(flip),b,190,a),flip(a)]. 5147 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(255,a,5101,a(flip),b,5146,a(flip)),flip(a)]. 5148 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [para(5147(a,1),21(a,1,1))]. 5149 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(5147(a,1),226(a,1,1)),flip(b)]. 5151 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(255,a,4805,a(flip),b,5120,a(flip))]. 5152 x * (y \ (x / (x / y))) = (y \ (1 \ x)) * y. [para(17(a,1),5151(a,1,1,2,2)),flip(a)]. 5153 x * (y \ (x / (x / y))) = (y \ x) * y. [para(59(a,1),5152(a,2,1,2))]. 5154 x \ (y / (y / x)) = K(x \ y,x). [hyper(22,a,263,a,b,5153,a)]. 5155 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(255,a,4804,a,b,5154,a(flip)),flip(a)]. 5156 x / (y * (x / y)) = K(y \ x,y). [hyper(255,a,4580,a,b,5154,a(flip)),flip(a)]. 5158 x / (x / y) = y * K(y \ x,y). [para(5154(a,1),19(a,1,2)),flip(a)]. 5161 T(K(x \ y,x),y) = K(x \ y,x). [para(5154(a,1),4386(a,1,1))]. 5162 K(x \ y,x) * (x * (y / x)) = y. [para(5156(a,1),21(a,1,1))]. 5164 x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). [hyper(255,a,3174,a(flip),b,5158,a),flip(a)]. 5165 (x * y) / ((x * y) / x) = x * K(y,x). [para(18(a,1),5158(a,2,2,1))]. 5166 (x * K(x \ y,x)) * (y / x) = y. [para(5158(a,1),21(a,1,1))]. 5168 (x / y) * (y * K(y \ x,y)) = (y \ x) * y. [para(5158(a,1),4210(a,1,2))]. 5169 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(5158(a,1),4593(a,1,1))]. 5170 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(4630(a,1),5158(a,2,2))]. 5171 T(x,K(y \ x,y)) = x. [hyper(40,a,5161,a)]. 5172 T(x * y,K(y,x)) = x * y. [para(18(a,1),5171(a,1,2,1))]. 5173 K(x,y) \ (x * y) = y * x. [hyper(255,a,270,a,b,5172,a(flip)),flip(a)]. 5174 K(x,y) = (x * y) / (y * x). [para(5172(a,1),271(a,1,2)),flip(a)]. 5175 K(x,y) * (y * x) = x * y. [para(5173(a,1),19(a,1,2))]. 5176 x * (y * z) != z * y | K(z,y) = x. [para(5173(a,1),94(a,1,2)),flip(b)]. 5177 K(x,y) = T(y,x) \ y. [hyper(255,a,4379,a(flip),b,5174,a)]. 5178 K(x \ y,x) * y = (x \ y) * x. [para(5174(a,2),260(a,1,1))]. 5179 K(x \ (x / y),x) = K(y \ 1,x). [hyper(255,a,4431,a,b,5177,a),flip(a)]. 5180 K(x,y) = ((y * x) / y) \ x. [hyper(255,a,4085,a,b,5177,a)]. 5181 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(255,a,3290,a,b,5177,a),flip(a)]. 5182 K(x,y) = y / T(y,x). [hyper(255,a,3128,a,b,5177,a)]. 5183 K(x,y) = (1 / T(y,x)) * y. [hyper(255,a,3127,a,b,5177,a)]. 5184 K(x,y) = y * (T(y,x) \ 1). [hyper(255,a,1083,a,b,5177,a)]. 5185 T(T(x,y) \ x,z) = K((z \ (y \ z)) \ 1,x). [hyper(255,a,4785,a(flip),b,5177,a),flip(a)]. 5186 K(x,y) = x \ T(x,y). [hyper(255,a,4439,a(flip),b,5177,a)]. 5187 x * T(x \ 1,y) = K(x \ 1,y). [hyper(255,a,4430,a(flip),b,5177,a),flip(a)]. 5188 K(T(x,y),y) = x \ T(x,y). [hyper(255,a,4087,a(flip),b,5177,a)]. 5189 x \ (T(1 / x,y) \ 1) = K(y,x \ 1). [hyper(255,a,3390,a(flip),b,5177,a),flip(a)]. 5190 K(x,y) / y = 1 / T(y,x). [hyper(81,a,5177,a,b,3127,a)]. 5191 K(x,y) / ((y \ 1) \ 1) = T(y,x) \ 1. [hyper(81,a,5177,a,b,2297,a)]. 5192 T(x,y) \ 1 = x \ K(y,x). [hyper(80,a,5177,a,b,1083,a),flip(a)]. 5194 T(x,y) * K(y,x) = x. [para(5177(a,2),19(a,1,2))]. 5195 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(45(a,2),5177(a,2,1)),flip(a)]. 5196 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(47(a,2),5177(a,2,1)),flip(a)]. 5197 T(x,y) = x / K(y,x). [para(5177(a,2),70(a,1,2)),flip(a)]. 5199 x * K(y,z) != z | T(z,y) = x. [para(5177(a,2),94(a,1,2)),flip(b)]. 5201 x / K(y,x) != z | T(x,y) = z. [para(5177(a,2),303(a,1,2)),flip(b)]. 5202 L(K(x,y),T(y,x),z) = (z * T(y,x)) \ (z * y). [para(5177(a,2),114(a,1,1))]. 5203 ((x \ y) \ y) * K(x \ y,x) = x. [para(5177(a,2),312(a,1,2))]. 5204 T(x,y) = (x * K(y,x)) \ (x * x). [para(5177(a,2),1587(a,1,1,2)),flip(a)]. 5205 K((1 / x) \ y,y) = T(y,y * x) \ y. [para(1991(a,1),5177(a,2,1))]. 5206 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(5177(a,2),2704(a,1,2))]. 5207 K(x,y) * T(y,x) = y. [para(5177(a,2),3133(a,1,1))]. 5208 T(x,y) = K(y,x) \ x. [para(5177(a,2),3134(a,1,1)),flip(a)]. 5209 K(x,y) * (y \ 1) = T(y,x) \ 1. [para(5177(a,2),3394(a,1,1))]. 5210 K(x \ K(x,y),x) = K(x \ 1,x). [para(5177(a,2),3669(a,1,1,2))]. 5211 K(x,y) * ((y * x) / y) = x. [para(5177(a,2),4086(a,1,1))]. 5212 x * K(T(x,y),y) = T(x,y). [para(5177(a,2),4088(a,1,2))]. 5213 ((x * y) / x) \ x = y \ (x * K(y,x)). [para(5177(a,2),4239(a,1,2,2)),flip(a)]. 5214 x * (((y * x) / y) \ z) = K(x,y) * z. [para(5177(a,2),4389(a,2,1))]. 5215 K(x,y) = T(y,T(x,y)) \ y. [para(4446(a,2),5177(a,2,1))]. 5216 T(x * K(y,x),y) = x. [para(5177(a,2),4473(a,1,1,2))]. 5217 (x * y) / x = y * K(x,y). [para(5177(a,2),4442(a,2,2))]. 5218 K(x,y) != z | x \ T(x,y) = z. [para(5177(a,2),4447(a,1))]. 5219 K(x * (1 / y),x) = T(x,y \ x) \ x. [para(4566(a,1),5177(a,2,1))]. 5220 x * (K(x,y) * z) = T(x,y) * z. [para(5177(a,2),4443(a,1,2,1))]. 5221 T(x,y) * (x \ z) = K(x,y) * z. [para(5177(a,2),4444(a,2,1))]. 5222 K(x / y,z) * x = y * T(y \ x,z). [para(5177(a,2),4581(a,1,1))]. 5223 K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z). [para(5177(a,2),4436(a,1,1)),flip(a)]. 5224 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(5177(a,2),4437(a,1,2)),flip(a)]. 5225 x * (T(x,y) \ z) = K(y,x) * z. [para(5177(a,2),4756(a,1,1)),flip(a)]. 5226 K(x,y) * (T(y,x) * z) = y * z. [para(5177(a,2),4758(a,1,1))]. 5227 K(x,y) \ y != z | T(y,x) = z. [para(5182(a,2),219(a,1,1)),flip(b)]. 5230 (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). [para(5182(a,2),2316(a,1,2))]. 5231 L(T(x,y),T(z,x),z / T(z,x)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(5182(a,2),4652(a,2,1))]. 5232 K(x * K(y,y \ 1),z) = z / T(z,x). [para(4874(a,1),5182(a,2,2))]. 5233 (x * T(x \ y,z)) / y = K(y / x,z). [hyper(255,a,4375,a,b,5186,a),flip(a)]. 5234 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(255,a,4251,a,b,5186,a),flip(a)]. 5236 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(255,a,4083,a,b,5186,a)]. 5237 K(x,y) = ((x * y) / x) / y. [hyper(255,a,4079,a,b,5186,a)]. 5238 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(255,a,4078,a,b,5186,a),flip(a)]. 5239 K(x,y) = y \ ((x * y) / x). [hyper(255,a,4074,a,b,5186,a)]. 5240 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(255,a,3239,a,b,5186,a)]. 5241 K(x,y) = (1 / x) * T(x,y). [hyper(255,a,3238,a,b,5186,a)]. 5242 K(x,y) = T(x,y) / x. [hyper(255,a,3234,a,b,5186,a)]. 5243 K(x,y) = T(x,y) * (x \ 1). [hyper(255,a,927,a,b,5186,a)]. 5244 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [hyper(255,a,4236,a(flip),b,5186,a),flip(a)]. 5245 x * T(x \ 1,y) = K(1 / x,y). [hyper(255,a,663,a(flip),b,5186,a),flip(a)]. 5247 ((x * y) / x) \ K(x,y) = y \ 1. [hyper(80,a,5186,a,b,4083,a)]. 5248 x \ K(y,x \ 1) = (y * (x \ 1)) / y. [hyper(80,a,5186,a,b,4078,a)]. 5249 T(x,y) \ K(x,y) = x \ 1. [hyper(80,a,5186,a,b,927,a)]. 5250 x \ T(x,y \ 1) = K(x,1 / y). [hyper(255,a,3707,a,b,5186,a(flip))]. 5252 T(x,y) = x * K(x,y). [para(5186(a,2),19(a,1,2)),flip(a)]. 5253 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(45(a,2),5186(a,2,2)),flip(a)]. 5254 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(47(a,2),5186(a,2,2)),flip(a)]. 5255 x * K(x,y) != z | T(x,y) = z. [para(5186(a,2),220(a,1,2)),flip(b)]. 5256 (x * y) \ (x * T(y,z)) = L(K(y,z),y,x). [para(5186(a,2),114(a,1,1)),flip(a)]. 5258 x * K(x,y) != z * u | z \ T(x,y) = u. [para(5186(a,2),368(a,1,2))]. 5260 L(K(x,y),x,z / x) = z \ ((z / x) * T(x,y)). [para(5186(a,2),440(a,1,1))]. 5261 (x * y) * T(K(y,x),z) = x * (y * T(K(y,x),z)). [para(5186(a,2),833(a,1,2,2,1)),flip(a)]. 5262 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1990(a,1),5186(a,2,2))]. 5263 T(x,y) = K(x,y) * x. [para(5186(a,2),3236(a,1,1)),flip(a)]. 5264 K(x,y) * x != z | T(x,y) = z. [para(5186(a,2),3241(a,1,1))]. 5265 (x * K(y,x)) * y = y * x. [para(5186(a,2),4069(a,1,1,2))]. 5266 T(x,y) * K(y,T(x,y)) = x. [para(5186(a,2),4072(a,1,2))]. 5267 (x * y) / x = K(x,y) * y. [para(5186(a,2),4080(a,1,1)),flip(a)]. 5268 (x \ y) * K(x,x \ y) = y / x. [para(5186(a,2),4071(a,1,2))]. 5269 x \ T(x,y \ x) = K(x,x / y). [para(4132(a,1),5186(a,2,2)),flip(a)]. 5271 K(x,x \ y) * y = x * (y / x). [para(5186(a,2),4342(a,1,1))]. 5272 K(x,y) * (x * z) = T(x,y) * z. [para(5186(a,2),4343(a,1,1))]. 5273 x * (T(x,y) \ z) = K(x,y) \ z. [para(5186(a,2),4351(a,1,1)),flip(a)]. 5274 K(x,y) \ (T(x,y) * z) = x * z. [para(5186(a,2),4367(a,1,1))]. 5275 K(x,y) \ z != u | x * (T(x,y) \ z) = u. [para(5186(a,2),4394(a,1,1))]. 5277 (x / (x / y)) \ L(y,y \ x,y) = K(x / (x / y),x). [para(4593(a,1),5186(a,2,2)),flip(a)]. 5278 x \ T(x,y / (z * y)) = K(x,z \ 1). [para(4660(a,2),5186(a,2,2)),flip(a)]. 5279 K(x,y * K(z,z \ 1)) = x \ T(x,y). [para(4874(a,1),5186(a,2,2))]. 5281 T(x,y) \ x != z | K(y,x) = z. [para(5194(a,1),222(a,1,2)),flip(b)]. 5284 x * (y * K(x,y)) = T(x,y) * y. [para(5194(a,1),4771(a,1,2)),flip(a)]. 5286 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(3708(a,1),5197(a,2,2)),flip(a)]. 5288 K(x,y / x) * (x \ y) = y / x. [para(129(a,1),5207(a,1,2))]. 5289 x / T(x,y) != z | K(y,x) = z. [para(5207(a,1),304(a,1,1)),flip(b)]. 5290 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(255,a,4579,a,b,5208,a),flip(a)]. 5291 T(x,y) = 1 / (x \ K(y,x)). [hyper(255,a,3729,a,b,5208,a)]. 5292 T(x,y) = (K(y,x) / x) \ 1. [hyper(255,a,3700,a,b,5208,a)]. 5294 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(5208(a,2),2699(a,1,2,1))]. 5295 T(T(x * K(y,x),z),y) = T(x,z). [para(5216(a,1),43(a,1,1)),flip(a)]. 5296 (x * K(y,x)) \ (y * x) = y. [para(5216(a,1),168(a,1,2,2))]. 5298 T(x * K(y,x),z) * y = y * T(x,z). [para(5216(a,1),182(a,1,2,1)),flip(a)]. 5299 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(5216(a,1),205(a,1,1,2,1)),flip(a)]. 5300 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(5216(a,1),183(a,1,2,1)),flip(a)]. 5301 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(5216(a,1),184(a,1,2,1)),flip(a)]. 5302 T((x * (y * K(z,y))) / x,z) = (x * y) / x. [para(5216(a,1),404(a,1,1,2)),flip(a)]. 5303 ((x * K(y * z,x)) * y) * z = (y * z) * R(x,y,z). [para(5216(a,1),573(a,1,2,1)),flip(a)]. 5304 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(5216(a,1),2210(a,1,2,1)),flip(a)]. 5305 T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). [para(5216(a,1),2230(a,1,2,2)),flip(a)]. 5306 T(K(x,y) * y,x) = y. [para(3141(a,2),5216(a,1,1))]. 5307 T(x \ K(y,x \ 1),y) = x \ 1. [para(3174(a,1),5216(a,1,1))]. 5308 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(5216(a,1),3376(a,1,2)),flip(a)]. 5309 T(K(x,y \ 1) / y,x) = 1 / y. [para(3718(a,1),5216(a,1,1))]. 5310 T(x,y * K(x,y)) = T(x,y). [para(5216(a,1),4446(a,1,2)),flip(a)]. 5311 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(5216(a,1),4462(a,1,2,1)),flip(a)]. 5312 T(1 / x,y) * x = K(x \ 1,y). [hyper(255,a,665,a(flip),b,5242,a),flip(a)]. 5316 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(5242(a,2),874(a,1))]. 5318 T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). [hyper(81,a,5252,a,b,100,a)]. 5319 x * K(x,y * (z \ 1)) = T(x,y * (1 / z)). [hyper(255,a,4883,a,b,5252,a(flip))]. 5320 T(x,T(y,T(x,z))) = x * K(x,y). [hyper(255,a,4794,a,b,5252,a(flip)),flip(a)]. 5323 T(x,y) != x * z | K(x,y) = z. [para(5252(a,2),24(a,1))]. 5324 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [para(5252(a,2),35(a,2,2)),flip(a)]. 5325 x \ T(x,y) != z | K(x,y) = z. [para(5252(a,2),222(a,1,2)),flip(b)]. 5328 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(5252(a,2),123(a,2,1))]. 5331 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(5252(a,2),454(a,2,2))]. 5333 (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). [para(5252(a,2),1929(a,1,1)),flip(a)]. 5334 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(3309(a,1),5252(a,2,2)),flip(a)]. 5335 (K(x,y) / R(x,z,u)) * x = T(x,y) / R(x,z,u). [hyper(81,a,5263,a,b,1953,a),flip(a)]. 5336 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(255,a,45,a,b,5263,a(flip))]. 5337 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(255,a,43,a,b,5263,a(flip))]. 5340 x * (K(y,x) * y) = y * x. [para(5263(a,1),127(a,1,2))]. 5345 L(x \ y,x,K(y,z)) = (K(y,z) * x) \ T(y,z). [para(5263(a,2),114(a,2,2))]. 5347 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(5263(a,2),179(a,1,1))]. 5349 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(5263(a,2),431(a,1,2,2))]. 5350 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(5263(a,2),635(a,1,1))]. 5351 ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). [para(5263(a,2),877(a,1,2,1))]. 5353 T(x,y) != z | x * K(x,y) = z. [para(5263(a,2),3322(a,1))]. 5354 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(112(a,1),5175(a,1,2))]. 5355 (x * y) \ (K(x,y) * ((y * x) * z)) != u | L(z,y * x,K(x,y)) = u. [para(5175(a,1),431(a,1,1))]. 5356 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5175(a,1),424(a,1,1))]. 5357 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(5175(a,1),5027(a,1,1,1))]. 5358 K(x,y) = x / ((y * x) / y). [hyper(255,a,3276,a,b,5180,a)]. 5359 K(x,y) = x * (((y * x) / y) \ 1). [hyper(255,a,1146,a,b,5180,a)]. 5360 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(80,a,5180,a,b,1146,a),flip(a)]. 5362 K(x,y) / x = 1 / ((y * x) / y). [para(5180(a,2),3279(a,1,1))]. 5363 K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). [hyper(81,a,2500,a(flip),b,5183,a(flip))]. 5365 K(x \ R(x,y,z),x) = (1 / x) * x. [para(4039(a,1),5183(a,2,1,2))]. 5366 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(5184(a,2),33(a,2,2,2)),flip(a)]. 5367 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(5184(a,2),113(a,1,2,2)),flip(a)]. 5368 K(T(x,y),y) = K(x,y). [hyper(255,a,5186,a,b,5188,a)]. 5373 K(x,T(y,x)) = K(x,y). [hyper(255,a,4195,a(flip),b,5368,a(flip))]. 5374 K(x,y / x) = K(x,x \ y). [hyper(255,a,4194,a(flip),b,5368,a(flip)),flip(a)]. 5375 K(x \ (y * x),x) = K(y,x). [para(37(a,1),5368(a,1,1))]. 5376 K(x / y,y) = K(y \ x,y). [para(129(a,1),5368(a,1,1)),flip(a)]. 5377 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(128(a,1),5368(a,1,1))]. 5378 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(716(a,1),5368(a,1,1)),flip(a)]. 5379 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(707(a,1),5368(a,1,1)),flip(a)]. 5380 K(x / (x / y),y \ x) = K(y,y \ x). [para(4506(a,1),5368(a,1,1)),flip(a)]. 5381 K(x,y) \ 1 = K(y,x). [para(5368(a,1),4607(a,1,1))]. 5382 K(x,y) * K(y,x) = 1. [para(5368(a,1),4609(a,1,1))]. 5383 K(x,y) * z != 1 | K(y,x) = z. [para(5368(a,1),4614(a,1,1))]. 5384 K(x,y) \ 1 != z | K(y,x) = z. [para(5368(a,1),4615(a,1,1))]. 5385 K(x * K(y,x),y) = K(x,y). [para(5216(a,1),5368(a,1,1)),flip(a)]. 5387 K(x,x \ (y * x)) = K(x,y). [para(37(a,1),5373(a,1,2))]. 5388 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(45(a,2),5373(a,1,2))]. 5389 K(x \ y,(x \ y) \ y) = K(x \ y,x). [para(128(a,1),5373(a,1,2))]. 5390 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(187(a,1),5373(a,1,2)),flip(a)]. 5391 K(x,(x * y) * (x \ 1)) = K(x,R(y,x,x \ 1)). [para(707(a,1),5373(a,1,2)),flip(a)]. 5392 K(x,y * K(x,y)) = K(x,y). [para(5216(a,1),5373(a,1,2)),flip(a)]. 5394 1 / K(x,y) = K(y,x). [para(5381(a,1),70(a,1,2))]. 5395 1 / K(x,y) != z | K(y,x) = z. [para(5381(a,1),303(a,1,2)),flip(b)]. 5396 L(x \ K(y,z),x,K(z,y)) = (K(z,y) * x) \ 1. [para(5381(a,1),241(a,1,1,2))]. 5397 T((x * K(y,z)) \ x,u) = L(T(K(z,y),u),K(y,z),x). [para(5381(a,1),344(a,2,1,1))]. 5398 L(L(K(x,y),z,u),K(y,x),w) = L((w * K(y,x)) \ w,z,u). [para(5381(a,1),346(a,1,1,1))]. 5399 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(5381(a,1),2018(a,2,2,1))]. 5400 T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(5381(a,1),2168(a,2,1,2,1))]. 5402 (x * K(y,x)) \ 1 = x \ K(x,y). [para(5381(a,1),3675(a,2,2))]. 5403 K(x,T(y,x)) != z | K(x,y) = z. [para(5381(a,1),4615(a,1))]. 5404 T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. [para(5394(a,1),3869(a,1,2,2))]. 5406 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(5192(a,1),303(a,1,2)),flip(b)]. 5407 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(5192(a,1),2185(a,1,2,1))]. 5408 K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. [para(5192(a,2),3529(a,2,1))]. 5409 K(x \ y,x) * (y / x) = x \ y. [para(19(a,1),5211(a,1,2,1))]. 5411 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(100(a,1),5211(a,1,2,1))]. 5413 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [para(5215(a,2),4358(a,1,1))]. 5414 (T(x,y) * y) / T(x,y) = y * K(x,y). [para(5215(a,2),4442(a,2,2))]. 5415 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(4746,a,5217,a),flip(a)]. 5416 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(4257,a,5217,a)]. 5417 x \ K(y,1 / x) = (y * (x \ 1)) / y. [hyper(255,a,3719,a(flip),b,5217,a),flip(a)]. 5418 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(255,a,3712,a(flip),b,5217,a),flip(a)]. 5419 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [hyper(80,a,5217,a,b,1611,a)]. 5420 T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). [hyper(80,a,5217,a,b,1079,a)]. 5421 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(26,a,5217,a)]. 5422 T(x * y,y) / T(x,y) = y * K(x * y,y). [hyper(255,a,1122,a,b,5217,a(flip)),flip(a)]. 5423 T(x,y) / (y \ x) = y * K(x,y). [hyper(255,a,1116,a,b,5217,a(flip)),flip(a)]. 5424 x \ T(x * y,y) = y * K(x * y,y). [hyper(255,a,4148,a(flip),b,5217,a(flip)),flip(a)]. 5425 x / (x / y) = y * K(x / y,y). [hyper(255,a,251,a(flip),b,5217,a(flip)),flip(a)]. 5426 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(122(a,1),5217(a,1,1))]. 5427 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(5217(a,1),123(a,1,1))]. 5428 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(5217(a,2),452(a,1,2))]. 5429 R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). [para(5217(a,1),472(a,1,1))]. 5430 T(x * K(y * x,x),y) = R(x,y,x). [para(5217(a,1),703(a,2,1)),flip(a)]. 5431 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(5217(a,1),767(a,1,1))]. 5432 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(5217(a,1),775(a,1,1))]. 5433 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(5217(a,2),103(a,1,2))]. 5434 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(5217(a,1),871(a,1,1,1))]. 5435 (x * K(x * y,x)) * y = T(x * y,x). [para(5217(a,1),980(a,1,1))]. 5436 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(5217(a,1),769(a,1,1))]. 5437 L(x * K(y,x),x \ 1,x) = (y * (1 / (1 / x))) / y. [para(5217(a,1),1498(a,1,1))]. 5438 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(5217(a,1),1627(a,2,1,2))]. 5439 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1835(a,1),5217(a,1,1))]. 5440 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(5217(a,1),1847(a,2,1)),flip(a)]. 5441 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1951(a,1),5217(a,1,1))]. 5442 K(x,y) = (1 / y) * ((x * y) / x). [para(5217(a,2),3171(a,1,2)),flip(a)]. 5444 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(5217(a,1),5079(a,1,1,2))]. 5445 K(x,y) / (1 / y) = (x * (1 / (1 / y))) / x. [hyper(81,a,5237,a,b,1619,a)]. 5446 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [para(915(a,1),5237(a,2,1)),flip(a)]. 5447 (x \ y) \ (y / x) = K(x,x \ y). [para(19(a,1),5239(a,2,2,1)),flip(a)]. 5448 x * K(y,x) != z | (y * x) / y = z. [para(5239(a,2),220(a,1,2)),flip(b)]. 5451 K(x,y) * K(x \ 1,x) = (x \ 1) * T(x,y). [para(5241(a,2),3098(a,1,1))]. 5452 K(1 / x,y) / x = T(1 / x,y). [hyper(313,a,5243,a(flip))]. 5453 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(5243(a,2),431(a,1,2,2))]. 5454 T(x,y * x) * (x \ 1) = K(x,x * y). [para(4563(a,2),5243(a,2,1)),flip(a)]. 5455 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5381(a,1),5243(a,2,2)),flip(a)]. 5456 T(x,y) * (x \ 1) != z | K(x,y) = z. [para(5249(a,1),220(a,1,2)),flip(b)]. 5457 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(23,a,1957,a,b,5265,a)]. 5458 (x * y) / x != z | y * K(x,y) = z. [para(5265(a,1),304(a,1,1)),flip(b)]. 5459 ((x * y) * z) * a(z * K(x * y,z),x,y) = ((z * K(x * y,z)) * x) * y. [para(5265(a,1),100(a,1,1))]. 5460 x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). [para(5265(a,1),5083(a,1,2)),flip(a)]. 5463 L(((x * y) \ x) \ 1,(x * y) \ x,y * x) = y. [hyper(1612,a,5296,a)]. 5466 x / (y / (y / x)) = K(x,x \ y). [para(4524(a,1),5358(a,2,2)),flip(a)]. 5470 x \ (y * (x / y)) = K(y,y \ x). [hyper(255,a,107,a,b,5374,a(flip)),flip(a)]. 5471 K(x,x \ (y \ x)) = K(x,y \ 1). [hyper(255,a,4680,a(flip),b,5374,a(flip))]. 5472 x * K(y,y \ x) = y * (x / y). [para(5374(a,1),264(a,1,2))]. 5473 K(x,x \ y) \ 1 = K(y / x,x). [para(5374(a,1),5381(a,1,1))]. 5475 (x * (y / x)) \ y = K(x \ y,x). [hyper(255,a,108,a,b,5376,a(flip)),flip(a)]. 5484 (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. [para(3309(a,1),5255(a,1,2))]. 5485 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(45(a,2),5281(a,1,1))]. 5486 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(47(a,2),5281(a,1,1))]. 5488 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(4430(a,1),5281(a,1))]. 5489 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(4431(a,2),5281(a,1))]. 5490 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(45(a,2),5325(a,1,2))]. 5491 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(542(a,2),5325(a,1,2))]. 5493 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(4375(a,2),5325(a,1))]. 5502 K(x,x \ (y * x)) != z | K(x,y) = z. [para(37(a,1),5403(a,1,2))]. 5504 K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w. [para(47(a,2),5403(a,1,2))]. 5505 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(1061(a,1),5403(a,1,2))]. 5507 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(5368(a,2),5403(a,1))]. 5509 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(5178(a,1),2046(a,2,2))]. 5510 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2669,a,5179,a)]. 5512 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(255,a,1582,a(flip),b,5179,a(flip)),flip(a)]. 5513 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(255,a,1559,a(flip),b,5179,a(flip)),flip(a)]. 5514 K((x * y) \ x,x * y) = K(y \ 1,x * y). [para(20(a,1),5179(a,1,1,2))]. 5515 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(5179(a,1),1557(a,2,2))]. 5516 (x * y) * K(((x * y) \ x) \ 1,z) = x * T(y,z). [para(5179(a,1),1562(a,1,2))]. 5517 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(5179(a,1),1581(a,1,1))]. 5518 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [para(5179(a,1),1560(a,1,2))]. 5519 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(849,a,5187,a)]. 5521 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(5187(a,1),656(a,2,2))]. 5523 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(5187(a,1),866(a,2,2))]. 5524 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(5187(a,1),1190(a,2,1))]. 5525 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(5187(a,1),1218(a,1,1))]. 5526 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(5187(a,1),1411(a,2,1))]. 5528 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(5187(a,1),1895(a,2,2))]. 5529 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(5187(a,1),2453(a,2,1,2))]. 5530 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * K(y \ 1,z)) * z. [para(5187(a,1),2454(a,2,1,2))]. 5532 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u. [para(5206(a,1),431(a,1,2,2))]. 5533 K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. [para(5210(a,1),263(a,1,2))]. 5534 x \ (T(x,y) * z) = K(x,y) * z. [hyper(87,a,5220,a)]. 5535 K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)). [hyper(80,a,127,a(flip),b,5220,a),flip(a)]. 5536 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(80,a,19,a(flip),b,5220,a),flip(a)]. 5537 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(22,a,4582,a,b,5220,a),flip(a)]. 5538 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(22,a,1086,a,b,5220,a)]. 5539 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(22,a,4669,a(flip),b,5220,a)]. 5540 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(22,a,4667,a(flip),b,5220,a)]. 5541 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(22,a,4622,a(flip),b,5220,a)]. 5542 T(x,y) * z != x * u | K(x,y) * z = u. [para(5220(a,1),24(a,1))]. 5543 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(5220(a,1),29(a,2,2,1)),flip(a)]. 5544 T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). [para(127(a,1),5220(a,1,2)),flip(a)]. 5545 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(2075(a,1),5220(a,1,2))]. 5546 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(1107,a,5221,a)]. 5547 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(873,a,5221,a)]. 5548 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(255,a,3325,a,b,5221,a)]. 5550 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(255,a,5220,a,b,5221,a(flip)),flip(a)]. 5551 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(255,a,4644,a,b,5221,a(flip)),flip(a)]. 5552 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [hyper(255,a,5137,a(flip),b,5221,a(flip)),flip(a)]. 5553 (x * y) / (T(x,z) * y) = K(z,x). [hyper(81,a,4769,a(flip),b,5221,a(flip))]. 5554 K(x,y) \ (y * z) = T(y,x) * z. [hyper(80,a,4769,a(flip),b,5221,a(flip))]. 5555 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(80,a,5221,a(flip),b,5220,a)]. 5556 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(80,a,5221,a(flip),b,4762,a(flip))]. 5557 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(33(a,2),5221(a,1,2)),flip(a)]. 5558 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(5186(a,2),5221(a,1,2)),flip(a)]. 5559 T(x,y) \ (x * z) = K(y,x) * z. [hyper(1127,a,5225,a)]. 5560 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(1106,a,5225,a),flip(a)]. 5561 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(255,a,4778,a,b,5225,a(flip)),flip(a)]. 5562 x \ (((y * x) / y) * z) = K(y,x) * z. [hyper(255,a,4777,a,b,5225,a(flip)),flip(a)]. 5563 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(81,a,4901,a(flip),b,5225,a(flip)),flip(a)]. 5564 T(x,y) * (K(y,x) * z) = x * z. [para(5225(a,1),1079(a,1,2))]. 5565 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(5225(a,1),1106(a,1))]. 5567 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(5186(a,2),5225(a,1,2)),flip(a)]. 5571 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))). [para(5226(a,1),424(a,1,1)),flip(a)]. 5572 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(895(a,1),5236(a,2,1)),flip(a)]. 5574 (x * T(x \ y,z)) / y = K(1 / (x / y),z). [hyper(255,a,1580,a(flip),b,5245,a(flip)),flip(a)]. 5576 K(x,(x / y) / x) = K(x,1 / y). [hyper(4180,a,5250,a)]. 5578 x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). [hyper(255,a,4206,a,b,5250,a(flip)),flip(a)]. 5580 K(x,1 / y) != z | K(x,y \ 1) = z. [para(5250(a,1),5325(a,1))]. 5582 T(x \ y,R(y / x,z,u)) = x \ y. [para(5268(a,1),4830(a,1,2,1))]. 5583 K(x,x / y) = K(x,y \ x). [hyper(5325,a,5269,a),flip(a)]. 5584 K(x,(y \ x) \ x) = K(x,y). [para(70(a,1),5583(a,1,2)),flip(a)]. 5585 K(x,x / (x / y)) = K(x,y). [para(73(a,1),5583(a,2,2))]. 5586 K(x,T(y,y \ x)) = K(x,y). [para(128(a,2),5584(a,1,2))]. 5587 K(x * y,T(x,y)) = K(x * y,x). [para(18(a,1),5586(a,1,2,2))]. 5588 T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). [hyper(81,a,5006,a,b,5271,a)]. 5589 K(x,(x \ 1) * y) * y = x * (y / x). [para(4690(a,2),5271(a,1,1))]. 5590 K(x,y) * ((x \ 1) \ y) = x * (((x \ 1) \ y) / x). [para(4692(a,1),5271(a,1,1))]. 5592 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(47(a,2),5272(a,2,1))]. 5593 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(5272(a,1),310(a,1))]. 5594 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(183(a,1),5272(a,1,2))]. 5595 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(184(a,1),5272(a,1,2))]. 5597 (K(x * y,z) * (x * (y * u))) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5272(a,1),441(a,1,2))]. 5600 K(x,y) \ z = K(y,x) * z. [hyper(255,a,5225,a(flip),b,5273,a(flip))]. 5602 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(3609,a,5600,a)]. 5603 K(x,y) * (y \ K(y,x)) = y \ 1. [hyper(3608,a,5600,a),flip(a)]. 5604 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(646,a,5600,a),flip(a)]. 5605 x / (K(y,z) * x) = K(z,y). [hyper(416,a,5600,a)]. 5606 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(255,a,3148,a,b,5600,a)]. 5607 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(223,a,5600,a),flip(a)]. 5608 K(x,y) * (K(y,x) * z) = z. [hyper(222,a,5600,a)]. 5609 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(80,a,5600,a,b,127,a)]. 5610 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(255,a,3952,a(flip),b,5600,a(flip))]. 5611 x * (K(y,z) * u) != u | K(z,y) = x. [para(5600(a,1),94(a,1,2)),flip(b)]. 5612 K(x,y) * (K(y,x) * z) != u | u = z. [para(5600(a,1),220(a,1,2))]. 5613 x / (K(y,z) * x) != u | K(z,y) = u. [para(5600(a,1),303(a,1,2)),flip(b)]. 5614 (K(x,y) \ z) * L(u,z,K(y,x)) = K(y,x) * (z * u). [para(5600(a,2),112(a,1,1))]. 5615 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5600(a,1),241(a,1,1,2))]. 5616 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5600(a,1),241(a,1,1))]. 5618 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5600(a,1),524(a,1,2))]. 5619 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5600(a,1),311(a,1,1,3))]. 5620 R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). [para(5600(a,1),4038(a,1,1))]. 5622 K(x,y) * z != u | K(y,x) * u = z. [para(5605(a,1),89(a,1,1)),flip(b)]. 5623 K(x,y) \ z != u | K(y,x) * z = u. [para(5605(a,1),219(a,1,1)),flip(b)]. 5624 K(x,y) != z | K(y,x) \ 1 = z. [para(5605(a,1),217(a,1)),flip(b)]. 5626 K(x,y) * (K(z,y) * K(y,x)) = K(z,y). [hyper(22,a,2075,a,b,5608,a)]. 5627 K(x,y) * (R(x,z,u) * K(y,x)) = R(x,z,u). [hyper(22,a,3146,a(flip),b,5608,a)]. 5628 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(22,a,2075,a(flip),b,5608,a)]. 5629 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). [para(5608(a,1),114(a,2,1))]. 5630 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(5608(a,1),122(a,1,2))]. 5634 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(5274(a,1),220(a,1,2)),flip(b)]. 5636 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(5284(a,1),35(a,2,2)),flip(a)]. 5637 T(x,y * K(x,y)) / (T(x,y) * y) = x / ((y * K(x,y)) * x). [para(5284(a,1),4538(a,1,2))]. 5638 T(x,x \ y) / (y \ x) = x * (y / x). [para(5290(a,1),4181(a,1,1))]. 5639 T(x,x \ y) / ((y \ x) \ x) = x / ((x \ ((y \ x) \ x)) * x). [para(5290(a,1),4598(a,1,1))]. 5640 T(K(x,y) / (1 / y),x) = 1 / (1 / y). [para(73(a,1),5309(a,1,1,1,2))]. 5641 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(81,a,526,a(flip),b,5312,a),flip(a)]. 5642 K(x,T(y,T(x,z))) = K(x,y). [hyper(5323,a,5320,a)]. 5643 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(5320(a,2),5255(a,1))]. 5644 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(5359(a,2),1302(a,2,2))]. 5645 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(5360(a,1),2308(a,1,2))]. 5646 (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. [para(4511(a,1),5360(a,1,1)),flip(a)]. 5647 T(x,y \ K(y,z)) = T(x,z / (z * y)). [para(5360(a,1),4661(a,1,2))]. 5648 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(729(a,1),5362(a,2,2))]. 5649 1 / (x * K(y,x)) = K(x,y) / x. [para(5217(a,1),5362(a,2,2)),flip(a)]. 5650 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). [para(5402(a,1),3489(a,2,2,2))]. 5654 (x * (y / x)) \ x = y \ (y / (y / x)). [para(5425(a,2),1610(a,1,2)),flip(a)]. 5655 T(1 / x,(y * x) / y) = x \ 1. [hyper(172,a,5442,a(flip),b,5236,a(flip))]. 5657 (x \ y) * K(x,x \ y) != z | y / x = z. [para(5447(a,1),220(a,1,2)),flip(b)]. 5658 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(4238,a,5470,a)]. 5659 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [para(5006(a,2),5470(a,1,2))]. 5660 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(5471(a,1),5271(a,1,1))]. 5661 T(x,K(y,y \ x)) = x. [hyper(172,a,5472,a,b,5271,a)]. 5663 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(5472(a,1),33(a,2,1)),flip(a)]. 5665 K(x / y,y) != z | K(y \ x,y) = z. [para(5473(a,1),5384(a,1))]. 5666 K(x \ (x / y),x) = (T(x,y \ 1) / y) \ (x / y). [para(4174(a,2),5475(a,1,1)),flip(a)]. 5667 T(x / y,z) \ x = K(x / y,z) \ y. [hyper(523,a,5534,a),flip(a)]. 5668 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(5534(a,1),220(a,1,2)),flip(b)]. 5671 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5536(a,1),24(a,1))]. 5673 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(45(a,2),5546(a,1,2,1))]. 5674 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(47(a,2),5553(a,1,2,1))]. 5677 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(45(a,2),5559(a,1,1))]. 5678 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(5559(a,1),220(a,1,2)),flip(b)]. 5680 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(5559(a,1),1103(a,1))]. 5681 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(5194(a,1),5559(a,1,2)),flip(a)]. 5682 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(5252(a,2),5559(a,1,2))]. 5683 K(x,y) * (y * z) = y * (K(x,y) * z). [para(5559(a,1),5225(a,1,2)),flip(a)]. 5686 x * (K(y,x) * (x \ z)) = K(y,x) * z. [para(5560(a,2),5225(a,1,2))]. 5687 K(x,y) * (x / y) = x / T(y,x). [hyper(4699,a,5564,a),flip(a)]. 5688 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(1137,a,5564,a)]. 5691 K(x * y,x / (x * y)) = K(x * y,1 / y). [para(20(a,1),5576(a,1,2,1))]. 5692 K(x,1 / (y \ x)) = K(x,y / x). [para(70(a,1),5576(a,1,2,1)),flip(a)]. 5693 (x / y) * K(x,1 / y) = x * ((x / y) / x). [para(5576(a,1),264(a,1,2))]. 5694 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5603(a,1),304(a,1,1)),flip(b)]. 5695 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5609(a,1),1814(a,1,2,2,1))]. 5696 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5609(a,1),1816(a,1,2,2,1))]. 5697 (x \ K(x,y)) * ((x \ 1) \ 1) = K(x,y). [para(5645(a,1),169(a,1,2))]. 5698 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(5645(a,1),182(a,1,2,1))]. 5699 (K(x,y) / x) \ 1 = x * K(y,x). [para(5649(a,1),73(a,1,1))]. 5700 1 / ((x \ 1) * K(y,x \ 1)) = K(1 / x,y) / (x \ 1). [para(3309(a,2),5649(a,2,1))]. 5701 K(1 / x,y) / (1 / x) = 1 / (K(y,x \ 1) / x). [para(3718(a,1),5649(a,1,2)),flip(a)]. 5702 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5687(a,1),112(a,1,1))]. 5703 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5687(a,1),149(a,1,2,1))]. 5704 K(x \ R(x,y,z),x) = (x \ K(x,x \ 1)) * x. [para(1450(a,2),5365(a,2,1))]. 5705 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(3718(a,1),5430(a,1,1))]. 5707 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(3147,a,5540,a)]. 5708 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(3147,a,5541,a)]. 5709 T(x,x * y) \ T(x,y) = x \ R(x,y,x). [hyper(80,a,5541,a(flip),b,5225,a),flip(a)]. 5712 K(x,y) * z != u | K(y,x) \ z = u. [para(19(a,1),5612(a,1,2)),flip(b)]. 5713 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(2247(a,1),5612(a,1,2))]. 5714 K(x \ 1,x) * (x \ y) != z | ((x \ 1) \ 1) \ y = z. [para(3036(a,1),5612(a,1,2)),flip(b)]. 5716 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. [para(4049(a,2),5612(a,1,2)),flip(b)]. 5717 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(37(a,2),5623(a,1))]. 5718 T(x,T(y,x)) != z | T(x,y) = z. [para(126(a,1),5643(a,1,2,2))]. 5719 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(187(a,1),5643(a,1,2))]. 5724 K(x,x * y) * K(y,x) = x \ L(x,y,x). [hyper(80,a,5707,a(flip),b,5220,a),flip(a)]. 5725 T(x,y \ x) * K(y \ 1,x) = L(x,y \ 1,x). [para(1990(a,1),5707(a,1,1))]. 5726 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(80,a,5708,a(flip),b,5220,a),flip(a)]. 5727 (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). [para(5708(a,1),33(a,2,2,2)),flip(a)]. 5729 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(255,a,4301,a,b,5155,a(flip)),flip(a)]. 5730 R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). [para(5181(a,1),3802(a,2,1,2,1))]. 5731 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(5189(a,1),19(a,1,2)),flip(a)]. 5732 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [para(5191(a,1),2870(a,1,1)),flip(a)]. 5733 K((1 / x) \ y,y) = K(y * x,y). [hyper(255,a,5177,a,b,5205,a)]. 5734 K(x * (y \ 1),x) = K(y \ x,x). [para(70(a,1),5733(a,1,1,1)),flip(a)]. 5735 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(5360(a,1),5734(a,1,1,2)),flip(a)]. 5736 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(5217(a,1),5213(a,1,1))]. 5737 K(x,y) * (((y * x) / y) * z) = x * z. [para(18(a,1),5214(a,1,2)),flip(a)]. 5739 x * ((x * K(y,x)) \ z) = K(x,y) * z. [para(5217(a,1),5214(a,1,2,1))]. 5740 K(x * (1 / y),x) = K(y \ x,x). [hyper(255,a,5177,a,b,5219,a)]. 5742 K((x \ 1) \ y,y) = K(y * x,y). [para(70(a,1),5740(a,1,1,2)),flip(a)]. 5743 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(81,a,831,a(flip),b,5222,a)]. 5744 x / (y * T(y \ x,z)) = K(z,x / y). [para(5222(a,1),5605(a,1,2))]. 5745 K(x,y) / (1 / T(y,x)) = 1 / (1 / y). [para(5230(a,1),70(a,1,2))]. 5746 K(x * K(y,y \ 1),z) = K(x,z). [hyper(255,a,5182,a,b,5232,a)]. 5747 K(x * K(y \ 1,y),z) = K(x,z). [para(1451(a,1),5746(a,1,1,2))]. 5749 K(x * (1 / (1 / y)),z) = K(x * y,z). [para(2825(a,1),5746(a,1,1)),flip(a)]. 5750 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(2895(a,1),5746(a,1,1))]. 5751 K(K(x \ 1,x) * y,z) = K(y,z). [para(2911(a,1),5746(a,1,1)),flip(a)]. 5752 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2910(a,1),5746(a,1,1))]. 5753 K(x / (1 / y),z) = K(x / (y \ 1),z). [para(2922(a,1),5746(a,1,1)),flip(a)]. 5754 K(((x \ 1) \ 1) * y,z) = K(x * y,z). [para(3069(a,1),5746(a,1,1))]. 5755 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(3091(a,1),5746(a,1,1)),flip(a)]. 5756 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(3097(a,1),5746(a,1,1))]. 5758 K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). [para(4878(a,2),5746(a,1,1))]. 5759 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4879(a,2),5746(a,1,1))]. 5762 K(x \ K(y \ 1,y),z) = K(x \ 1,z). [para(4861(a,1),5747(a,1,1))]. 5763 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4951(a,1),5747(a,1,1)),flip(a)]. 5764 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4950(a,2),5747(a,1,1))]. 5766 K((1 / (1 / x)) * (x \ y),z) = K(y,z). [para(3218(a,2),5751(a,1,1))]. 5767 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(4985(a,1),5751(a,1,1))]. 5768 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(5000(a,1),5751(a,1,1))]. 5769 R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). [hyper(255,a,3792,a(flip),b,5238,a(flip)),flip(a)]. 5770 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(255,a,2583,a(flip),b,5238,a(flip)),flip(a)]. 5772 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). [hyper(255,a,1332,a(flip),b,5238,a(flip)),flip(a)]. 5774 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(5238(a,1),1053(a,2,2))]. 5775 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(5238(a,1),2052(a,1,2))]. 5776 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [para(5238(a,1),2420(a,2,2))]. 5777 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(5240(a,2),1190(a,2,1))]. 5779 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [para(1424(a,1),5248(a,2,1))]. 5780 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(255,a,5186,a,b,5262,a)]. 5782 K(x,y / (z * y)) = K(x,z \ 1). [hyper(5325,a,5278,a)]. 5784 K(x,y / (z * y)) = K(x,1 / z). [hyper(255,a,3707,a,b,5782,a)]. 5785 K(x,(y \ z) / z) = K(x,y \ 1). [para(19(a,1),5782(a,1,2,2))]. 5786 K(x,(y / z) \ 1) = K(x,z / y). [para(21(a,1),5782(a,1,2,2)),flip(a)]. 5787 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5782(a,1),5288(a,1,1))]. 5788 K(x,1 / (y / z)) = K(x,z / y). [para(21(a,1),5784(a,1,2,2)),flip(a)]. 5789 K(x,y / (z * y)) != u | K(x,z \ 1) = u. [para(5784(a,2),5580(a,1))]. 5791 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(452(a,1),5785(a,1,2,1)),flip(a)]. 5794 K(x,y * K(z,z \ 1)) = K(x,y). [hyper(255,a,5186,a,b,5279,a)]. 5795 K(x,y * K(z,1 / z)) = K(x,y). [para(1445(a,2),5794(a,1,2,2))]. 5796 K(x,y * K(z \ 1,z)) = K(x,y). [para(1451(a,1),5794(a,1,2,2))]. 5797 K(x,K(y,y \ 1) * z) = K(x,z). [para(2247(a,2),5794(a,1,2))]. 5798 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(2895(a,1),5794(a,1,2))]. 5799 K(x,y * T(z,z \ 1)) = K(x,y * z). [para(2896(a,1),5794(a,1,2))]. 5800 K(x,K(y \ 1,y) * z) = K(x,z). [para(2911(a,1),5794(a,1,2)),flip(a)]. 5801 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(2910(a,1),5794(a,1,2))]. 5804 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(2920(a,1),5794(a,1,2)),flip(a)]. 5805 K(x,T(y,y \ 1) * z) = K(x,y * z). [para(3028(a,1),5794(a,1,2))]. 5807 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(3097(a,1),5794(a,1,2))]. 5808 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(3194(a,1),5794(a,1,2))]. 5809 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(4967(a,2),5794(a,1,2))]. 5810 K(x,K(y,1 / y) * z) = K(x,z). [para(2259(a,2),5795(a,1,2))]. 5811 K(x,y * (z * K(u,1 / u))) = K(x,y * z). [para(4868(a,1),5795(a,1,2))]. 5812 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4950(a,2),5796(a,1,2))]. 5813 K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). [para(4955(a,1),5797(a,1,2))]. 5814 K(x,T(y * K(z,z \ 1),u)) = K(x,T(y,u)). [para(5075(a,2),5797(a,1,2))]. 5815 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(4992(a,1),5797(a,1,2)),flip(a)]. 5816 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(4985(a,1),5800(a,1,2))]. 5817 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(5001(a,1),5800(a,1,2))]. 5818 K(x,K(y,1 / y) / z) = K(x,1 / z). [para(3946(a,1),5810(a,1,2))]. 5819 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(23,a,5265,a,b,5298,a),flip(a)]. 5820 T(x * K(x * y,x),y) = R(x,y,x). [hyper(23,a,4475,a,b,5298,a)]. 5821 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(23,a,1957,a,b,5298,a)]. 5822 T((x * y) / x,z) = T(y * K(x,y),z). [hyper(23,a,397,a,b,5298,a),flip(a)]. 5823 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(5820(a,1),43(a,1,1)),flip(a)]. 5824 T(x * K(y \ x,x),y \ 1) = R(x,y \ 1,x). [para(5734(a,1),5820(a,1,1,2))]. 5825 T(x * K(y \ x,x),y \ 1) = R(x,x \ (y \ x),x). [hyper(255,a,4742,a,b,5299,a)]. 5826 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(80,a,5299,a,b,5217,a(flip))]. 5827 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(5299(a,2),5180(a,2,1)),flip(a)]. 5828 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(5299(a,2),5458(a,1))]. 5829 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(5337(a,1),5264(a,1))]. 5830 T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. [para(4569(a,1),5829(a,1))]. 5831 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(4602(a,2),5829(a,1))]. 5832 L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. [para(4585(a,2),5829(a,1))]. 5836 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(3053(a,1),5388(a,1,2))]. 5837 x * ((y * (x \ 1)) / y) != z | K(y,1 / x) = z. [para(5417(a,1),220(a,1,2)),flip(b)]. 5838 x * (y * K(z,y)) != u | u / ((z * y) / z) = x. [para(5421(a,1),96(a,1))]. 5839 x \ (y * T(y \ x,x)) = K((1 / y) * x,x). [hyper(930,a,5424,a)]. 5841 x \ T(x * y,y) = y * K(y * x,y). [hyper(23,a,5025,a,b,5435,a),flip(a)]. 5842 K(x,y * x) = K(x,x * y). [hyper(5456,a,5454,a)]. 5844 K(x,x * (y / x)) = K(x,y). [para(21(a,1),5842(a,1,2)),flip(a)]. 5845 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(100(a,1),5842(a,2,2))]. 5846 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(19(a,1),5537(a,1,1,1)),flip(a)]. 5847 (x / (x / y)) \ z = K(y,x / y) * (y \ z). [para(21(a,1),5537(a,1,1,1))]. 5849 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(5217(a,1),5537(a,1,1))]. 5850 x * (K(x,y) * T(z,x)) = K(x,y) * (z * x). [hyper(255,a,5220,a,b,5538,a),flip(a)]. 5853 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(255,a,3323,a(flip),b,5558,a)]. 5854 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5558(a,2),3335(a,1))]. 5855 K(x,y) * (y * z) = ((x * y) / x) * z. [para(18(a,1),5561(a,1,2)),flip(a)]. 5858 ((x * y) / x) * z = y * (K(x,y) * z). [para(5562(a,1),19(a,1,2)),flip(a)]. 5859 x \ ((y / (y / x)) * z) = K(x \ y,x) * z. [para(4524(a,1),5562(a,1,2,1))]. 5860 T(x,x \ (y * x)) / ((y * x) \ x) = x * y. [para(20(a,1),5638(a,2,2))]. 5861 T(x,y / x) / (y \ x) = x * (y / x). [para(4463(a,2),5638(a,1,1))]. 5862 (K(x,y) / (1 / y)) * x = x * (1 / (1 / y)). [para(5640(a,1),127(a,1,2)),flip(a)]. 5864 x * ((y * (x / y)) \ y) = x / (x / y). [para(5654(a,2),19(a,1,2))]. 5865 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(255,a,2075,a,b,5682,a)]. 5868 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5683(a,1),122(a,2,1))]. 5869 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(5683(a,1),310(a,1))]. 5871 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5683(a,1),424(a,1,1))]. 5874 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(925(a,1),5688(a,1,2))]. 5875 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [hyper(605,a,5697,a)]. 5876 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(18(a,1),5729(a,1,1,1)),flip(a)]. 5877 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(19(a,1),5737(a,1,2,1,1))]. 5879 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(4040,a,5739,a),flip(a)]. 5881 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(255,a,3911,a,b,5879,a(flip)),flip(a)]. 5882 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). [hyper(80,a,5879,a(flip),b,3911,a)]. 5883 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(1138(a,1),5744(a,1,2))]. 5884 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1743(a,1),5744(a,1,2))]. 5885 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(5190(a,2),5745(a,1,2))]. 5886 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3861(a,1),5749(a,1,1,2))]. 5887 K(x * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). [para(2395(a,2),5750(a,1,1,2))]. 5888 K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). [para(5699(a,1),5754(a,1,1,1,1))]. 5889 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(189(a,1),5762(a,1,1,2))]. 5890 K(x,(y \ 1) \ x) = K(x,x * y). [hyper(255,a,5780,a(flip),b,5798,a(flip)),flip(a)]. 5891 K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u). [hyper(255,a,5763,a,b,5799,a)]. 5892 K(x,(1 / x) * y) * y = x * (y / x). [para(5807(a,2),5589(a,1,1))]. 5893 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(3435(a,2),5808(a,1,2,1))]. 5894 K(x * y,y) = K(y * x,y). [hyper(22,a,5424,a(flip),b,5841,a(flip)),flip(a)]. 5895 K((x \ 1) \ y,y) = K(x * y,y). [hyper(255,a,5742,a,b,5894,a),flip(a)]. 5896 K((1 / x) * y,y) = K(x \ y,y). [hyper(255,a,5740,a(flip),b,5894,a)]. 5897 ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). [para(5895(a,1),5252(a,2,2)),flip(a)]. 5898 (x / (K(y,z) * T(y,u))) \ x = K(y,u) * T(y,z). [hyper(255,a,73,a,b,5853,a),flip(a)]. 5899 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5853(a,1),24(a,1))]. 5900 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(19(a,1),5855(a,2,1,1))]. 5901 (x * K(y,x)) * z = K(y,x) * (x * z). [para(5217(a,1),5855(a,2,1)),flip(a)]. 5902 (K(x,y) * y) * z = K(x,y) * (y * z). [para(5267(a,1),5855(a,2,1)),flip(a)]. 5903 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(19(a,1),5858(a,1,1,1)),flip(a)]. 5904 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(5858(a,1),774(a,1,1))]. 5905 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(4524(a,1),5858(a,1,1))]. 5906 (x * K(y,x)) * z = x * (K(y,x) * z). [para(5217(a,1),5858(a,1,1))]. 5908 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(4506(a,1),5865(a,1,2)),flip(a)]. 5909 L(x,y,K(z,y)) = x. [hyper(22,a,3156,a,b,5901,a),flip(a)]. 5910 L(x,T(y,z),K(z,y)) = x. [para(4195(a,1),5909(a,1,3))]. 5911 R(K(x,y),y,z) = K(x,y). [hyper(5091,a,5902,a)]. 5912 R(x,K(y,x),z) = x. [hyper(5091,a,5906,a)]. 5913 L(x,K(y,z),z) = x. [hyper(422,a,5906,a)]. 5914 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(5906(a,1),33(a,2,1)),flip(a)]. 5915 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(5912(a,1),459(a,1,1,1)),flip(a)]. 5916 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(5912(a,1),461(a,1,1,1)),flip(a)]. 5918 (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. [para(5913(a,1),224(a,1,2))]. 5927 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(255,a,4082,a(flip),b,5419,a(flip)),flip(a)]. 5928 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(5927(a,1),1721(a,1,1,2))]. 5929 L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2654(a,1),5488(a,1))]. 5931 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(4192(a,2),5507(a,1))]. 5933 T(x,y) * K(x,z) != u | K(x,y) * T(x,z) = u. [para(5186(a,2),5593(a,1,2))]. 5934 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5556(a,1),5593(a,1,2))]. 5935 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(19(a,1),5634(a,1,2))]. 5936 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(127(a,1),5634(a,1,2))]. 5937 K(x,y) * (((z * x) / z) * u) != w | T(x,y) * (K(z,x) * u) = w. [para(5858(a,2),5634(a,1,2))]. 5939 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(2346(a,1),5678(a,1,2))]. 5940 T(x,y) * z != u | x * (K(x,y) * z) = u. [para(5608(a,1),5678(a,1,2))]. 5942 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(255,a,5682,a(flip),b,5709,a(flip)),flip(a)]. 5944 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(2076,a,5724,a)]. 5945 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(5726(a,1),2076(a,1))]. 5946 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5894(a,2),5726(a,1,2))]. 5956 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(19(a,1),5942(a,1,1,1)),flip(a)]. 5957 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5942(a,1),2081(a,1))]. 5958 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(5894(a,2),5942(a,1,1))]. 5959 ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). [para(5168(a,2),4604(a,1,1))]. 5960 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(5170(a,1),4800(a,1,1,1))]. 5961 K((x \ (y \ x)) \ 1,z) = T(K(y,z),x). [para(5177(a,2),5185(a,1,1)),flip(a)]. 5962 T(K(x / y,z),x) = K((x \ y) \ 1,z). [para(73(a,1),5961(a,1,1,1,2)),flip(a)]. 5963 T(K(x / y,z),x) \ 1 = K(z,(x \ y) \ 1). [para(5962(a,2),5381(a,1,1))]. 5965 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(5489,a,5223,a)]. 5966 T(K(x \ 1,y),z) != u | K(T(x,z) \ 1,y) = u. [para(5223(a,1),5489(a,1))]. 5967 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(73(a,1),5965(a,2,1,1))]. 5968 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3312(a,1),5965(a,2,1))]. 5969 K(1 / T(x,y),z) = T(K(1 / x,z),y). [para(2227(a,1),5967(a,1,1))]. 5970 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). [para(5968(a,1),5394(a,1,2)),flip(a)]. 5971 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(5186(a,2),5244(a,1,1)),flip(a)]. 5973 K(x,T(y,z) \ 1) = T(K(x,1 / y),z). [para(5250(a,1),5244(a,1,1)),flip(a)]. 5974 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(73(a,1),5971(a,2,1,2))]. 5975 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(5971(a,2),127(a,1,2))]. 5976 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(3702(a,1),5971(a,2,1))]. 5978 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(5971(a,1),5255(a,1,2))]. 5979 K(x,1 / T(y,z)) = T(K(x,1 / y),z). [hyper(255,a,3707,a,b,5973,a(flip)),flip(a)]. 5980 K(x,1 / T(1 / y,z)) = T(K(x,y),z). [hyper(255,a,3707,a,b,5974,a(flip)),flip(a)]. 5981 K(x,R(T(K(x,y),z),u,w)) = 1. [para(5974(a,1),3339(a,1,2,1))]. 5982 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(5731(a,1),5974(a,1,2))]. 5984 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(23,a,5265,a,b,5300,a),flip(a)]. 5986 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(23,a,5265,a,b,5301,a),flip(a)]. 5987 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(5649(a,1),5305(a,1,1,2))]. 5988 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(5987(a,1),127(a,1,2)),flip(a)]. 5989 K(x,T(y,z)) * K(y \ 1,y) = (T(T(y,z),x) \ 1) * T(y,z). [para(3181(a,1),5408(a,1,2))]. 5990 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(255,a,2310,a(flip),b,5418,a),flip(a)]. 5991 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(81,a,5431,a,b,5267,a(flip))]. 5992 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(5431(a,2),5180(a,2,1)),flip(a)]. 5993 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(5431(a,2),5358(a,2,2)),flip(a)]. 5994 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(80,a,5432,a,b,5217,a(flip))]. 5995 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(5432(a,2),4526(a,1,1))]. 5996 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(5432(a,2),5180(a,2,1)),flip(a)]. 5998 K((x / y) \ 1,z) = K(y / x,z). [hyper(255,a,5233,a(flip),b,5512,a(flip))]. 6001 R(K(x / y,z),x / y,u) = K((y / x) \ 1,z). [hyper(255,a,4395,a,b,5998,a),flip(a)]. 6002 K((x / y) \ 1,x) = K(x \ y,x). [hyper(255,a,5376,a(flip),b,5998,a)]. 6003 K(1 / (x / y),z) = K(y / x,z). [hyper(255,a,3309,a,b,5998,a(flip)),flip(a)]. 6004 K(x / (y * x),z) = K(y \ 1,z). [para(20(a,1),5998(a,1,1,1)),flip(a)]. 6005 K((x / (y * x)) \ 1,z) = K(y,z). [para(20(a,1),5998(a,2,1))]. 6006 K((x \ y) / y,z) = K(x \ 1,z). [para(70(a,1),5998(a,1,1,1)),flip(a)]. 6007 K((x / y) \ 1,x) != z | K(x \ y,x) = z. [para(5998(a,2),5665(a,1))]. 6008 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(255,a,4683,a(flip),b,6002,a)]. 6009 K(x \ (y \ x),x) = K(y \ 1,x). [para(70(a,1),6002(a,1,1,1)),flip(a)]. 6014 x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y). [para(1138(a,1),5513(a,1,2))]. 6015 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1743(a,1),5513(a,1,2))]. 6016 T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). [para(2323(a,1),5513(a,1,2))]. 6017 (((x * y) \ x) \ x) * K(y \ 1,x * y) = x * y. [para(5514(a,1),5203(a,1,2))]. 6018 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(958,a,5515,a)]. 6019 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(849,a,5515,a),flip(a)]. 6020 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(661,a,5515,a),flip(a)]. 6021 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(255,a,1138,a(flip),b,5515,a(flip)),flip(a)]. 6022 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [hyper(81,a,5515,a(flip),b,396,a)]. 6023 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [para(5515(a,1),2010(a,2,1)),flip(a)]. 6024 T(x * y,z) / y = K(((1 / y) / x) \ 1,z) * x. [hyper(255,a,935,a(flip),b,5517,a),flip(a)]. 6025 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(255,a,925,a(flip),b,5517,a)]. 6026 x \ (y * T(y \ x,x)) = K((y / x) \ 1,x). [hyper(80,a,5517,a(flip),b,3141,a(flip))]. 6027 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(18(a,1),5517(a,2,2,1))]. 6028 (x \ K(x,y)) * x = (x \ 1) * T(x,y). [hyper(255,a,5451,a(flip),b,5533,a(flip))]. 6029 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(3165,a,5567,a)]. 6030 K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. [para(935(a,1),5574(a,1,1)),flip(a)]. 6031 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [para(5641(a,1),43(a,1,1)),flip(a)]. 6032 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(81,a,4178,a,b,5660,a)]. 6033 (x * y) * (x / (x * y)) = x * K(x * y,1 / y). [para(5691(a,1),264(a,1,2)),flip(a)]. 6034 T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). [hyper(255,a,5861,a,b,5693,a),flip(a)]. 6036 (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. [hyper(255,a,3175,a(flip),b,5732,a(flip)),flip(a)]. 6038 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(3344(a,1),5758(a,1,1,2))]. 6039 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(3993(a,1),5759(a,1,1))]. 6040 K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). [para(4052(a,1),5759(a,1,1,2))]. 6041 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(5002(a,1),5764(a,1,1,1))]. 6042 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2821(a,1),5809(a,1,2,1)),flip(a)]. 6043 K(x,(y * (z / (1 / u))) \ w) = K(x,(y * (z / (u \ 1))) \ w). [para(4991(a,1),5812(a,1,2,1)),flip(a)]. 6044 K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). [para(3986(a,1),5813(a,1,2,2))]. 6045 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(3097(a,1),5814(a,1,2,1))]. 6046 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5819(a,1),222(a,1,2)),flip(b)]. 6048 T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). [para(5158(a,2),5826(a,1,2,1))]. 6049 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5894(a,1),5826(a,1,2,1,2))]. 6050 T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). [para(5515(a,2),5826(a,1,2,1))]. 6052 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5819(a,1),5827(a,1,1,1))]. 6053 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(5622,a,5846,a)]. 6055 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(37(a,2),5846(a,1,2))]. 6056 (x \ y) * K(x,1 / x) = (1 / (1 / x)) \ y. [hyper(255,a,2259,a(flip),b,5847,a),flip(a)]. 6059 T(x,T(y,x)) / ((y * x) \ x) = x * y. [para(37(a,2),5860(a,1,1,2))]. 6060 T(x,y) / ((y * x) \ x) = x * y. [para(4446(a,1),6059(a,1,1))]. 6061 T(x,y) = (x * y) * ((y * x) \ x). [para(6060(a,1),21(a,1,1)),flip(a)]. 6062 (x * y) \ T(x,y) = (y * x) \ x. [para(6060(a,1),73(a,1,1))]. 6064 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(80,a,6061,a,b,99,a(flip)),flip(a)]. 6065 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(255,a,4779,a,b,6062,a(flip)),flip(a)]. 6066 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((x * y) \ T(x,y)) \ 1,z,u). [para(6062(a,1),1907(a,1,1)),flip(a)]. 6068 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(255,a,615,a(flip),b,5876,a(flip)),flip(a)]. 6075 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(22,a,3996,a,b,5881,a),flip(a)]. 6076 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * x. [para(5882(a,1),4911(a,1,1)),flip(a)]. 6080 K(x / y,(x / y) \ x) * z = y \ ((x / (x / y)) * z). [hyper(284,a,5903,a),flip(a)]. 6082 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(5272(a,1),5903(a,1,2))]. 6085 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(255,a,5976,a(flip),b,5970,a(flip))]. 6086 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(6085(a,1),73(a,1,1))]. 6087 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [para(6085(a,1),5183(a,2,1)),flip(a)]. 6088 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(255,a,5963,a(flip),b,6086,a(flip))]. 6089 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [para(6086(a,1),193(a,1,2)),flip(a)]. 6090 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(6086(a,1),5184(a,2,2)),flip(a)]. 6091 L(T(K(x,y),z),K(y,x),z) = (K(y,x) * z) \ z. [para(6086(a,1),6065(a,1,1))]. 6092 K(K(x,y),z) = K(z,K(y,x)). [hyper(255,a,5455,a(flip),b,6087,a(flip)),flip(a)]. 6093 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(5624,a,6092,a)]. 6094 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(6092(a,1),5252(a,2,2)),flip(a)]. 6095 x * K(K(y,z),x) = T(x,K(z,y)). [para(6092(a,2),5252(a,2,2)),flip(a)]. 6096 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(6092(a,1),5263(a,2,1)),flip(a)]. 6097 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(6092(a,1),5384(a,1,1))]. 6098 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(6092(a,1),5272(a,1,1))]. 6099 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(6093(a,1),5384(a,1))]. 6100 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(5657,a,6095,a),flip(a)]. 6101 T(T(x,K(y,z)),K(z,y)) = x. [hyper(255,a,5266,a(flip),b,6095,a(flip))]. 6102 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(6095(a,1),5265(a,1,1))]. 6105 T(K(x,y),K(z,y)) = K(x,y). [para(2072(a,1),6101(a,1,1))]. 6106 T(K(x,y),K(x,z)) = K(x,y). [para(2074(a,1),6101(a,1,1))]. 6107 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(80,a,6105,a(flip),b,5607,a)]. 6108 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(6105(a,1),127(a,1,2))]. 6110 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(6106(a,1),127(a,1,2))]. 6111 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(6106(a,1),225(a,1,2))]. 6112 T(K(x,y),y * z) = K(x,((y * z) \ z) \ 1). [para(20(a,1),6088(a,1,1,2))]. 6113 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(6088(a,1),127(a,1,2))]. 6116 K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. [para(6094(a,1),5612(a,1,2)),flip(b)]. 6117 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(5275,a,6107,a)]. 6118 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(5935,a,6110,a)]. 6119 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(5381(a,1),6097(a,1))]. 6120 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(5455(a,2),6119(a,1))]. 6121 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(129(a,1),5975(a,1,2,2,1)),flip(a)]. 6123 K(x,y) / (1 / y) = 1 / (K(y,x) / y). [hyper(23,a,5862,a,b,5988,a),flip(a)]. 6124 ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). [para(5217(a,1),5990(a,1,1,1))]. 6125 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(5360(a,1),5990(a,1,1))]. 6126 K((x / y) \ 1,y) = K((1 / x) * y,y). [hyper(255,a,5839,a(flip),b,6026,a(flip))]. 6127 K((x / y) \ 1,y) = K(x \ y,y). [hyper(255,a,5896,a(flip),b,6126,a)]. 6128 K(x / y,x) = K(y \ x,x). [hyper(255,a,5998,a(flip),b,6127,a(flip)),flip(a)]. 6129 K((x \ y) \ y,y) = K(x,y). [para(70(a,1),6128(a,1,1)),flip(a)]. 6130 (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. [hyper(255,a,5421,a,b,6036,a(flip)),flip(a)]. 6131 L(x * K(y,x),x \ 1,x) = x * ((T(x,y) \ 1) * x). [para(6036(a,1),190(a,1,2)),flip(a)]. 6132 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(87,a,6075,a)]. 6133 K(x,y) * K(y,((x * z) \ z) \ 1) = K(x * z,K(x,y)). [para(6112(a,1),6090(a,1,2))]. 6134 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(6117(a,1),4307(a,2,3))]. 6135 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(255,a,5098,a(flip),b,6132,a(flip)),flip(a)]. 6136 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(255,a,5097,a(flip),b,6132,a(flip)),flip(a)]. 6137 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(6135(a,1),5890(a,1,2,1))]. 6140 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(4039(a,1),5196(a,1,1,1)),flip(a)]. 6142 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(4039(a,1),5254(a,1,2,1)),flip(a)]. 6144 L(K(x,y) * K(z,y),K(y,z),K(y,x)) = (K(y,x) * K(y,z)) \ 1. [para(6107(a,1),5396(a,1,1))]. 6145 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(5440(a,2),4550(a,1,1))]. 6146 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(5512(a,1),5493(a,1))]. 6147 K(x \ 1,y) != z | K(1 / x,y) = z. [para(68(a,1),6146(a,1,1,1))]. 6149 K(x / (y * x),z) != u | K(1 / y,z) = u. [para(6004(a,2),6147(a,1))]. 6152 K(x \ R(x,y,z),x) = (x \ K(x,R(x \ 1,u,w))) * x. [para(3922(a,2),5704(a,2,1,2))]. 6155 T(x,K(y,y \ 1)) != z | z = x. [para(5607(a,1),5713(a,1))]. 6157 T(x / y,y) != z | y \ x = z. [para(1386(a,1),6155(a,1)),flip(b)]. 6159 T(x,x \ y) != z | (x \ y) \ y = z. [para(70(a,1),6157(a,1,1))]. 6165 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(47(a,2),6159(a,1))]. 6170 T(x,T(1 / y,z) \ x) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(3314(a,1),5725(a,1,2))]. 6171 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(255,a,47,a,b,5823,a)]. 6172 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5836(a,1),5892(a,1,1))]. 6175 K(x,y \ 1) != z | K(x,1 / y) = z. [para(5238(a,1),5837(a,1))]. 6178 T(K(x,1 / y),z) != u | K(x,1 / T(y,z)) = u. [para(5973(a,1),6175(a,1))]. 6179 ((x * y) / x) * z != u | y * (K(x,y) * z) = u. [para(5217(a,2),5918(a,1,1))]. 6183 x \ K(x * y,x \ 1) = y / (y / (x \ 1)). [para(4686(a,1),5164(a,1,2))]. 6184 (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). [para(6183(a,2),73(a,1,1))]. 6185 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(5186(a,2),5234(a,1,1))]. 6187 K(x,L(x,y,z) \ 1) = K(x,x \ 1). [hyper(255,a,4960,a(flip),b,6185,a(flip))]. 6188 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (1 / x) * (L(x,y,z) \ x). [hyper(80,a,6185,a(flip),b,3824,a)]. 6189 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(73(a,1),6185(a,1,1,2)),flip(a)]. 6190 (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). [para(6185(a,1),112(a,1,2))]. 6191 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3702(a,1),6185(a,1,1)),flip(a)]. 6192 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(6187(a,2),4964(a,1,2))]. 6193 T(x,L(x,y,z) \ 1) = K(x,x \ 1) * x. [para(6187(a,1),5263(a,2,1))]. 6194 K(x,T(y,L(y,z,u) \ 1)) = K(x,y). [para(6193(a,2),5797(a,1,2))]. 6195 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(342(a,1),6191(a,1,2,1)),flip(a)]. 6197 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [para(5357(a,1),21(a,1,1))]. 6198 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(255,a,6117,a(flip),b,5420,a)]. 6199 ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(6198(a,1),113(a,1,2,2,1))]. 6200 (x * y) / (y * K(z,y)) = (x / (y * K(z,y))) * y. [para(5217(a,1),5438(a,1,2))]. 6201 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(5438(a,1),6157(a,1,1))]. 6202 a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). [hyper(255,a,3807,a,b,5510,a(flip)),flip(a)]. 6204 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(5187(a,1),5510(a,1,1))]. 6205 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(5240(a,2),5510(a,1,1)),flip(a)]. 6206 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [hyper(255,a,5911,a(flip),b,6204,a(flip))]. 6207 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(6204(a,1),122(a,1,1))]. 6208 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(123(a,1),6204(a,2,1,1))]. 6209 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3312(a,1),6204(a,1,1)),flip(a)]. 6210 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(684(a,1),6206(a,1,1,1))]. 6211 K(x,R(1 / y,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(6205(a,1),5381(a,1,1)),flip(a)]. 6212 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(6205(a,1),6204(a,1,1)),flip(a)]. 6213 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(6209(a,1),5600(a,1,1)),flip(a)]. 6214 (x * y) * z != x * T(y,u) | K(((x * y) \ x) \ 1,u) = z. [para(5516(a,1),24(a,1)),flip(a)]. 6215 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(255,a,1749,a(flip),b,5519,a(flip)),flip(a)]. 6216 (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). [para(73(a,1),5519(a,1,2,2,1,2))]. 6217 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(127(a,1),5519(a,1,2))]. 6218 x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). [para(848(a,1),5519(a,1,2))]. 6219 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [hyper(87,a,5524,a)]. 6221 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). [para(3293(a,1),5525(a,1,1))]. 6222 K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y). [para(3606(a,1),5525(a,2,2,1))]. 6223 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(848(a,1),5526(a,1,2))]. 6224 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5525(a,2),5526(a,1,2))]. 6225 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(255,a,5998,a,b,5563,a(flip)),flip(a)]. 6226 x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). [para(354(a,1),5578(a,1,2,2,1,2))]. 6227 (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). [hyper(5489,a,5666,a),flip(a)]. 6228 K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). [hyper(255,a,3479,a,b,6227,a(flip)),flip(a)]. 6229 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(20(a,1),6228(a,1,2,2))]. 6230 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(6147,a,6229,a)]. 6231 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [para(6230(a,1),5472(a,1,2)),flip(a)]. 6232 K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). [para(3043(a,1),5767(a,1,1,1)),flip(a)]. 6233 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1332(a,1),5770(a,1,1))]. 6234 T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). [para(2425(a,1),5770(a,1,1))]. 6235 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). [para(5360(a,2),5815(a,2,2,2)),flip(a)]. 6236 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(5057(a,1),5883(a,1,2))]. 6237 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(5069(a,1),5884(a,1,2))]. 6238 R(K(x,y),x,z) != u | K(x,y) = u. [para(4373(a,2),5931(a,1))]. 6239 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(5199,a,6017,a)]. 6240 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [para(162(a,2),6239(a,2,1)),flip(a)]. 6241 x / T(x * y,y \ 1) = L(y \ 1,y,x). [para(6240(a,1),70(a,1,2))]. 6242 T(x,x \ T(x * y,y \ 1)) = T(x,L(y \ 1,y,x) \ 1). [para(6240(a,1),4409(a,1,2,2))]. 6243 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(5073(a,1),6241(a,1,2))]. 6244 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(6018(a,1),19(a,1,2))]. 6245 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [para(21(a,1),6024(a,1,1,1)),flip(a)]. 6246 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(3707(a,1),6033(a,2,2))]. 6247 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(5155(a,1),6045(a,1,2,1)),flip(a)]. 6250 K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). [para(5360(a,1),6121(a,1,1,2))]. 6252 ((x * K(y,z)) / (z * K(y,z))) * z = R(x,K(y,z),z). [hyper(3160,a,6200,a),flip(a)]. 6253 T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). [para(3293(a,1),6219(a,1,2,1)),flip(a)]. 6256 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(73(a,1),6224(a,1,2,1,1))]. 6257 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3312(a,1),6224(a,1,2,1))]. 6258 x * K((1 / y) \ 1,x * (1 / y)) = y * (x / y). [hyper(255,a,3220,a(flip),b,6231,a(flip))]. 6259 (1 / x) * (y / (1 / x)) = y * K(1 / x,y * x). [para(3309(a,2),6231(a,2,2))]. 6260 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5381(a,1),6244(a,1,2,2,1,1,2))]. 6261 x * K(y,x * (1 / y)) = y * (x / y). [para(73(a,1),6258(a,1,2,1))]. 6262 K(x,y * (1 / x)) = K(x,x \ y). [hyper(22,a,5472,a,b,6261,a)]. 6264 K(x,y * (x \ 1)) = K(x,x \ y). [hyper(255,a,5801,a(flip),b,6262,a(flip)),flip(a)]. 6265 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [para(70(a,1),6262(a,1,2,2)),flip(a)]. 6266 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(6262(a,1),5394(a,1,2)),flip(a)]. 6267 K(x,R(y,x,x \ 1)) = K(x,x \ (x * y)). [hyper(255,a,5391,a(flip),b,6264,a(flip)),flip(a)]. 6268 K(x * (1 / y),y) = K(y \ x,y). [hyper(255,a,5394,a(flip),b,6266,a)]. 6269 K((1 / x) * y,x) = K(y * (1 / x),x). [hyper(255,a,4684,a,b,6268,a),flip(a)]. 6270 K(((1 / x) \ y) * (1 / x),x) = K(y,x). [hyper(255,a,4683,a(flip),b,6268,a)]. 6271 K(x * (y \ 1),y) = K(y \ x,y). [hyper(255,a,5752,a(flip),b,6268,a(flip)),flip(a)]. 6272 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(70(a,1),6268(a,1,1,2)),flip(a)]. 6273 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [hyper(255,a,5379,a(flip),b,6271,a(flip)),flip(a)]. 6274 x * K(x * (y \ 1),y) = (y \ x) * y. [para(6271(a,2),263(a,1,2))]. 6275 K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). [hyper(255,a,5749,a(flip),b,6269,a)]. 6276 K(T(x,1 / y) / y,y) = K(x / y,y). [para(967(a,1),6270(a,1,1))]. 6277 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(73(a,1),6274(a,1,2,1,2)),flip(a)]. 6278 K(T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y),1 / y) = K((x / y) / (y \ 1),1 / y). [para(2952(a,1),6276(a,2,1))]. 6279 K(x,R(y,x,x \ 1)) = K(x,y). [para(18(a,1),6267(a,2,2))]. 6280 K(x,y) = x \ T(x,R(y,x,x \ 1)). [hyper(5218,a,6279,a),flip(a)]. 6281 K(x,y) = R(y,x,x \ 1) \ ((x * y) * (x \ 1)). [hyper(255,a,4075,a,b,6280,a)]. 6282 K(R(x,y,y \ 1),y) = K(x,y). [hyper(255,a,615,a(flip),b,6273,a)]. 6284 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(255,a,4691,a(flip),b,6265,a(flip))]. 6285 x * T(x \ 1,y * x) = K(x \ 1,x * y). [hyper(5316,a,6284,a)]. 6286 K((1 / x) \ y,x \ 1) = K(y * x,x \ 1). [hyper(255,a,5755,a,b,6272,a(flip)),flip(a)]. 6287 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(255,a,4686,a(flip),b,6272,a(flip))]. 6288 K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). [para(6287(a,1),5982(a,1,2,2))]. 6289 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(22,a,5187,a,b,6285,a)]. 6290 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(255,a,4599,a(flip),b,6289,a)]. 6291 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). [para(6289(a,1),2185(a,1,2,1,1))]. 6292 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). [para(6289(a,2),2185(a,1,1))]. 6293 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(19(a,1),6290(a,1,2))]. 6294 R(x,y,y \ 1) * K(y,x) = (y * x) * (y \ 1). [para(6281(a,2),19(a,1,2))]. 6295 K(x,y) * ((y * x) * (y \ 1)) = R(x,y,y \ 1). [para(6294(a,1),5627(a,1,2))]. 6296 K(1 / x,y / (1 / x)) = K(1 / x,y * x). [hyper(411,a,6259,a)]. 6297 K((x \ y) * x,1 / x) = K(y,1 / x). [hyper(255,a,5766,a(flip),b,6275,a(flip))]. 6298 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(255,a,5982,a(flip),b,6288,a(flip))]. 6299 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6298(a,2),5455(a,1,1))]. 6300 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(6120,a,6299,a),flip(a)]. 6301 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(6119,a,6300,a),flip(a)]. 6302 (x / (x / y)) \ L(y,y \ x,y) = K((x / y) \ x,x). [hyper(255,a,6128,a(flip),b,5277,a)]. 6303 T((x * K(y,z)) \ x,x) = (K(y,z) * x) \ x. [hyper(255,a,6091,a(flip),b,5397,a)]. 6304 L(x * K(y,x),x \ 1,x) = K(y,x) / (1 / x). [hyper(255,a,5445,a,b,5437,a)]. 6305 (K(x,y) \ z) \ (K(x,y) \ (z * u)) = L(u,z,K(y,x)). [hyper(80,a,5600,a,b,5614,a)]. 6306 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5600(a,1),5615(a,1,1))]. 6307 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(255,a,4721,a(flip),b,5616,a(flip))]. 6309 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(163(a,1),5821(a,2,3))]. 6310 R(x,x \ (y \ x),x) = R(x,y \ 1,x). [hyper(255,a,5824,a(flip),b,5825,a(flip))]. 6311 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(22,a,5104,a(flip),b,5984,a)]. 6313 K(L(x,y,z) \ 1,x) = K(x \ 1,L(x,u,w)). [hyper(255,a,4933,a,b,6311,a),flip(a)]. 6314 L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x). [para(6311(a,2),2694(a,1,1))]. 6322 x * ((T(x,y) \ 1) * x) = K(y,x) / (1 / x). [hyper(255,a,6304,a(flip),b,6131,a(flip))]. 6323 x \ (1 / (K(x,y) / x)) = (T(x,y) \ 1) * x. [hyper(80,a,6123,a(flip),b,6322,a)]. 6324 x \ (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [para(5362(a,1),6323(a,1,2,2))]. 6325 T(x,y) \ (1 / (1 / T((z * x) / z,y))) = (T(T(x,y),z) \ 1) * T(x,y). [para(404(a,1),6324(a,1,2,2,2))]. 6326 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(20(a,1),6172(a,2,2))]. 6327 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(5176,a,6326,a),flip(a)]. 6328 T(1 / L(x,y,z),x) = L(x,y,z) \ 1. [para(6192(a,1),5307(a,1,1))]. 6330 (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(6202(a,1),634(a,1,2))]. 6331 R(x * y,K(z,y),y) = R(x,y,K(z,y)) * y. [para(35(a,2),6252(a,1,1)),flip(a)]. 6332 R(x * y,K(z,y),y) != u * y | R(x,y,K(z,y)) = u. [para(6331(a,2),25(a,1))]. 6333 K(x,y) = (y / (y / x)) \ L(x,x \ y,x). [hyper(255,a,616,a(flip),b,6302,a),flip(a)]. 6335 (K(x,y) \ (z * u)) \ (K(x,y) \ (z * (u * w))) = L(L(w,u,z),z * u,K(y,x)). [para(112(a,1),6305(a,1,2,2))]. 6336 K(L(x,y,z) \ 1,L(x,y,z)) = K(L(x,y,z) \ 1,x). [hyper(3630,a,6314,a)]. 6337 K(L(x,y,z) \ 1,L(x,y,z)) = K(x \ 1,L(x,u,w)). [hyper(255,a,6313,a(flip),b,6336,a)]. 6339 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(6337(a,1),2306(a,1,1))]. 6340 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(6337(a,1),2862(a,1,1))]. 6341 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(255,a,2515,a(flip),b,5363,a)]. 6342 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3968,a,6341,a)]. 6343 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [hyper(255,a,6124,a(flip),b,5404,a)]. 6344 T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(6110(a,1),5404(a,2,1,1))]. 6345 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(47(a,2),5518(a,2,2))]. 6346 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(5187(a,1),5528(a,1,1,2))]. 6349 (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. [hyper(87,a,6346,a)]. 6350 ((x * y) * K(y \ 1,z)) / (K(y \ 1,z) * y) = R(x,K(y \ 1,z),y). [hyper(81,a,6346,a(flip),b,122,a)]. 6353 R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). [para(6349(a,1),1061(a,1,1)),flip(a)]. 6354 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(255,a,4556,a(flip),b,5594,a)]. 6355 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(255,a,4557,a(flip),b,5595,a)]. 6356 K(1 / x,y) / (x \ 1) = 1 / (x \ K(y,1 / x)). [para(3719(a,1),5700(a,1,2)),flip(a)]. 6358 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(5238(a,1),5769(a,1,1))]. 6359 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(6238,a,6358,a),flip(a)]. 6360 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(255,a,3994,a(flip),b,6358,a(flip))]. 6361 K(x,R(1 / y,z,u) \ 1) = R(K(x,y),z,u). [para(73(a,1),6358(a,1,1,2)),flip(a)]. 6362 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3702(a,1),6358(a,1,1)),flip(a)]. 6363 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5786(a,1),6358(a,1,1)),flip(a)]. 6364 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(51(a,1),6359(a,1,2,1))]. 6365 K(x \ R(x,y,z),x) = (x \ K(x,R(x,u,w) \ 1)) * x. [para(6360(a,2),5704(a,2,1,2))]. 6366 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(255,a,6211,a(flip),b,6361,a(flip)),flip(a)]. 6367 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(817,a,6366,a),flip(a)]. 6368 (R(K(x,y),z,u) \ K(R(K(x,y),z,u) * w,R(K(y,x),z,u))) \ w = w / (R(K(x,y),z,u) \ 1). [para(6366(a,1),6184(a,1,1,2,2))]. 6369 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(6362(a,1),5252(a,2,2))]. 6370 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(255,a,5791,a(flip),b,6363,a(flip))]. 6371 R(K(x,y / z),y,y \ 1) = K(x,(z * (y \ 1)) \ 1). [para(472(a,1),6363(a,1,2,1)),flip(a)]. 6372 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(450(a,1),6363(a,1,2)),flip(a)]. 6373 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(21(a,1),6370(a,2,2,1))]. 6374 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(21(a,1),6370(a,2,2,2))]. 6375 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(70(a,1),6370(a,1,1,2)),flip(a)]. 6376 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(5583(a,1),6374(a,1,1))]. 6377 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(120(a,2),6375(a,1,2))]. 6378 R(K(x,y),T(y,z),u) = K(x,y). [para(4340(a,1),6375(a,1,2)),flip(a)]. 6379 (K(x,y) * T(y,z)) \ K(x,y) = T(y,z) \ 1. [hyper(80,a,6378,a(flip),b,193,a)]. 6380 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(6378(a,1),122(a,1,1)),flip(a)]. 6381 K(x,R(y,T(y,x) \ z,u)) = R(K(x,T(y,x)),z,u). [hyper(5504,a,6377,a)]. 6382 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(18(a,1),6377(a,1,2,2)),flip(a)]. 6383 R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). [para(37(a,2),6377(a,1,2,2)),flip(a)]. 6384 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(149(a,1),6377(a,1,2,2)),flip(a)]. 6385 R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). [para(5556(a,1),6377(a,1,2,2)),flip(a)]. 6386 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(6238,a,6382,a),flip(a)]. 6387 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(255,a,6204,a(flip),b,6382,a(flip)),flip(a)]. 6388 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6382(a,1),47(a,2,1))]. 6389 R(x,y,x) \ K(x * y,x) = T(x,y) \ 1. [para(5541(a,1),6379(a,1,1))]. 6390 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(6238,a,6376,a),flip(a)]. 6391 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(255,a,5786,a,b,6376,a)]. 6392 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(6376(a,1),6238(a,1))]. 6394 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1836(a,1),6390(a,1,2)),flip(a)]. 6395 L(x,T(y,z),K(u,y)) = x. [hyper(422,a,6380,a)]. 6396 K(x,R(y,T(y,x) \ z,u)) = R(K(x,y),z,u). [para(5373(a,1),6381(a,2,1))]. 6397 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(482(a,1),6364(a,1,2,1)),flip(a)]. 6398 K(x,((y \ z) * (z \ 1)) \ 1) = R(K(x,y),z,z \ 1). [para(70(a,1),6371(a,1,1,2)),flip(a)]. 6399 R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1). [para(20(a,1),6391(a,1,1,2,1))]. 6400 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(6391(a,1),47(a,2,1))]. 6401 R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1). [para(21(a,1),6399(a,2,2,1,2))]. 6402 x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). [para(19(a,1),5772(a,1,2,2,1))]. 6403 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(5402(a,1),5888(a,1,1,1)),flip(a)]. 6404 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(3146(a,1),5916(a,1,1))]. 6405 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(4065(a,1),6015(a,1,2)),flip(a)]. 6406 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(5072,a,6021,a),flip(a)]. 6408 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(6046,a,6049,a),flip(a)]. 6409 K(x / y,(x / y) \ x) = K(y \ x,y). [hyper(23,a,5859,a(flip),b,6080,a)]. 6412 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(6140(a,2),157(a,1))]. 6413 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(255,a,60,a(flip),b,6142,a)]. 6415 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x \ 1,u,w)). [hyper(255,a,6028,a(flip),b,6152,a)]. 6416 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6362(a,1),6213(a,1,1)),flip(a)]. 6417 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(541,a,6416,a)]. 6418 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(510,a,6416,a)]. 6419 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(6416(a,2),91(a,1)),flip(b)]. 6420 ((x \ 1) * y) / ((x \ K(x,z)) * y) = R(K(z,x),x \ 1,y). [para(3605(a,1),6417(a,1,2,1))]. 6421 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(255,a,5572,a(flip),b,6215,a(flip))]. 6422 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5515(a,1),6215(a,1,1))]. 6423 (1 / x) * (y * T(y \ x,z)) = K(((x \ 1) * y) \ 1,z). [hyper(255,a,5767,a(flip),b,6216,a)]. 6424 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(848(a,1),6216(a,1,2)),flip(a)]. 6425 K(x \ y,y) / (y \ T(y * (x \ 1),y)) = x. [hyper(81,a,6421,a(flip),b,6218,a)]. 6426 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6425(a,1),148(a,1,2,1))]. 6427 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6426(a,1),1980(a,2,2,1))]. 6428 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [hyper(5714,a,6221,a),flip(a)]. 6429 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(255,a,6236,a(flip),b,6237,a(flip))]. 6430 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(96,a,6245,a),flip(a)]. 6431 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(18(a,1),6250(a,2,2,2,1))]. 6433 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [hyper(255,a,6219,a(flip),b,6253,a)]. 6434 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(81,a,6342,a(flip),b,2899,a)]. 6435 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x,u,w) \ 1). [hyper(255,a,6028,a(flip),b,6365,a)]. 6436 R(K(x,y),K(x,y) * z,u) = R(K(x,y),z,u). [hyper(255,a,6396,a(flip),b,6385,a)]. 6437 R(K(x,y),y \ K(y,x),z) = R(K(x,y),y \ 1,z). [para(5603(a,1),6436(a,1,2)),flip(a)]. 6438 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = ((((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z)) * (x \ 1)) * z. [para(6437(a,2),1882(a,2,2,1)),flip(a)]. 6439 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(5132(a,1),6394(a,1,2,1))]. 6440 R(x,y,z) * (K(u,x) * w) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5. [para(6404(a,1),454(a,1))]. 6442 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). [para(925(a,1),6423(a,1,2)),flip(a)]. 6443 T(x,R(x \ 1,y,z)) = T(x,R(x,u,w) \ 1). [hyper(22,a,6415,a(flip),b,6435,a(flip)),flip(a)]. 6444 T(x,R(x,y,z) \ 1) = T(x,x \ 1). [hyper(255,a,4165,a(flip),b,6443,a(flip))]. 6445 (R(x,y,z) \ 1) * T(x,x \ 1) = R(x,y,z) \ x. [para(6444(a,1),1312(a,1,2))]. 6446 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = R(x,y,z) \ x. [hyper(255,a,274,a(flip),b,6445,a(flip)),flip(a)]. 6448 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(255,a,6076,a(flip),b,6446,a(flip)),flip(a)]. 6449 T(1 / R(x,y,z),x) = R(x,y,z) \ 1. [hyper(172,a,6448,a,b,1308,a)]. 6450 x / R(x,y,z) = R(x,y,z) \ x. [hyper(255,a,1952,a(flip),b,6448,a(flip)),flip(a)]. 6452 (x / R(x,y,z)) * u = (R(x,y,z) \ x) * u. [hyper(27,a,6450,a)]. 6453 (R(x,y,z) \ x) * R(x,y,z) = x. [para(6450(a,1),21(a,1,1))]. 6454 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(6450(a,1),6370(a,1,1,2))]. 6455 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(6450(a,2),6137(a,1,2,1))]. 6456 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(6453(a,1),5011(a,1,1,1))]. 6457 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(255,a,5335,a,b,6456,a(flip)),flip(a)]. 6458 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(255,a,2189,a,b,5367,a(flip)),flip(a)]. 6459 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(5592(a,1),5613(a,1,2))]. 6460 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(255,a,6416,a(flip),b,5703,a(flip)),flip(a)]. 6461 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5752(a,1),5705(a,1,1,1))]. 6462 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(255,a,6192,a(flip),b,5779,a(flip))]. 6464 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(6462(a,1),21(a,1,1))]. 6465 x / L(x,y,z) = L(x,y,z) \ x. [hyper(255,a,1837,a(flip),b,6464,a(flip)),flip(a)]. 6466 (L(x,y,z) \ x) \ x = L(x,y,z). [para(6465(a,1),73(a,1,1))]. 6468 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(5187(a,1),5929(a,1,1))]. 6470 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(6468,a,xx),flip(a)]. 6473 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1723(a,1),6470(a,1,1)),flip(a)]. 6474 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(3309(a,2),6470(a,1,1))]. 6475 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3312(a,1),6470(a,1,1)),flip(a)]. 6476 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(5381(a,1),6470(a,1,1,1)),flip(a)]. 6477 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5967(a,1),6470(a,1,1)),flip(a)]. 6478 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(255,a,3309,a,b,6474,a)]. 6479 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(6475(a,1),5381(a,1,1)),flip(a)]. 6480 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(6475(a,1),5600(a,1,1)),flip(a)]. 6481 K(1 / L(1 / x,y,z),u) = L(K(x,u),y,z). [para(3310(a,1),6478(a,1,1)),flip(a)]. 6482 K(x,1 / L(1 / y,z,u)) = 1 / L(K(y,x),z,u). [para(6481(a,1),5394(a,1,2)),flip(a)]. 6483 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(255,a,6191,a(flip),b,6479,a(flip))]. 6484 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [para(6483(a,1),70(a,1,2))]. 6485 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(6483(a,1),303(a,1,2)),flip(b)]. 6486 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6484(a,1),219(a,1,1)),flip(b)]. 6488 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(6191(a,1),6480(a,1,1)),flip(a)]. 6489 x / (L(K(y,z),u,w) * x) = L(K(z,y),u,w). [hyper(416,a,6488,a)]. 6490 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(255,a,2077,a(flip),b,6488,a)]. 6491 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(222,a,6488,a)]. 6492 x / (L(K(y,z),u,w) * x) != v5 | L(K(z,y),u,w) = v5. [para(6488(a,1),303(a,1,2)),flip(b)]. 6493 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(6489(a,1),89(a,1,1)),flip(b)]. 6494 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(6489(a,1),219(a,1,1)),flip(b)]. 6496 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(5169(a,1),5960(a,1,1)),flip(a)]. 6497 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(255,a,45,a,b,6496,a)]. 6498 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(6497(a,1),49(a,1,1)),flip(a)]. 6501 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(6002(a,1),6208(a,1,1))]. 6502 R(K(x \ (y / z),x),y / z,z) = K(((x * z) / y) \ 1,x). [para(21(a,1),6501(a,2,1,1,2))]. 6503 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(73(a,1),6243(a,1,2,2)),flip(a)]. 6505 (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). [hyper(80,a,6378,a(flip),b,6367,a(flip)),flip(a)]. 6506 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(5853(a,1),6505(a,1,1))]. 6507 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(255,a,4869,a(flip),b,6461,a)]. 6509 R(K(x \ (y / z),x),y / z,z) != u | K(y / (x * z),x) = u. [para(6502(a,2),6146(a,1))]. 6510 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(5261(a,1),5399(a,1,2))]. 6511 T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. [para(5407(a,1),5940(a,1))]. 6512 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1955,a,5426,a),flip(a)]. 6513 (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). [para(5308(a,1),5460(a,1,2)),flip(a)]. 6514 (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). [para(1891(a,1),6513(a,2,2))]. 6515 T(x,y) / (T(x,y) * y) = x / ((y * K(x,y)) * x). [para(5310(a,1),5637(a,1,1))]. 6516 T(x,y) / (T(x,y) * y) = x / (x * y). [para(5265(a,1),6515(a,2,2))]. 6517 (x / (x * y)) \ T(x,y) = T(x,y) * y. [para(6516(a,1),73(a,1,1))]. 6518 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(255,a,6118,a(flip),b,5698,a)]. 6519 K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). [para(6518(a,1),3543(a,1,2))]. 6520 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(5547(a,1),5743(a,1,1,2)),flip(a)]. 6521 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [para(127(a,1),6019(a,2,2))]. 6522 K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5988(a,1),6044(a,1,2,2,1)),flip(a)]. 6523 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(529(a,1),6212(a,1,1,1)),flip(a)]. 6524 T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). [para(790(a,1),6234(a,1,1,1))]. 6525 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(73(a,1),6256(a,2,1,1))]. 6526 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(18(a,1),6525(a,1,2,2)),flip(a)]. 6528 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(80,a,6526,a,b,127,a)]. 6529 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3312(a,1),6257(a,2,1))]. 6531 K(x,y) * ((x \ 1) \ T(y,x)) = (x \ 1) \ y. [hyper(80,a,5207,a(flip),b,6529,a),flip(a)]. 6532 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(18(a,1),6529(a,1,2,2)),flip(a)]. 6533 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(37(a,2),6529(a,1,2,2))]. 6535 K(T(x,y),y) * ((T(x,y) \ 1) \ T(y,x)) = (T(x,y) \ 1) \ y. [para(4446(a,1),6531(a,1,2,2))]. 6536 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [para(127(a,1),6532(a,2,2))]. 6537 x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). [para(6532(a,2),190(a,1,2))]. 6539 ((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x). [para(6532(a,1),5605(a,1,2))]. 6540 ((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z) = K(y,x). [para(5608(a,1),6539(a,1,2,2))]. 6542 L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). [hyper(5668,a,6537,a),flip(a)]. 6543 T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). [para(5608(a,1),6542(a,1,1)),flip(a)]. 6544 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5515(a,2),6260(a,1,2))]. 6545 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(6020(a,1),6260(a,1,2)),flip(a)]. 6546 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(4621(a,1),6354(a,1,2))]. 6547 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(4621(a,1),6355(a,1,2))]. 6548 K((x \ (y / (z \ 1))) \ 1,y) = K((x \ (y * z)) \ 1,y). [hyper(255,a,6014,a(flip),b,6405,a)]. 6549 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(313,a,6422,a)]. 6550 ((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)). [hyper(255,a,6215,a,b,6424,a(flip)),flip(a)]. 6551 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(255,a,6090,a(flip),b,6510,a)]. 6552 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(5378(a,1),6512(a,1,2)),flip(a)]. 6553 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(255,a,5415,a(flip),b,6552,a)]. 6554 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(19(a,1),6553(a,1,1,1)),flip(a)]. 6555 (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(6519(a,1),3988(a,1,1)),flip(a)]. 6556 K(x,y) * ((T(x,y) \ 1) \ T(y,x)) = (T(x,y) \ 1) \ y. [para(5368(a,1),6535(a,1,1))]. 6557 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(87,a,6544,a)]. 6558 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6544(a,1),24(a,1))]. 6559 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6545(a,2),24(a,1))]. 6560 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6557(a,1),5025(a,1,1))]. 6561 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(18(a,1),6560(a,1,1,2,1)),flip(a)]. 6562 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6561(a,2),25(a,1))]. 6563 x * (y * ((z \ (y \ z)) * z)) = (x * K(y \ 1,z)) * z. [hyper(255,a,5118,a(flip),b,5530,a(flip)),flip(a)]. 6564 (x * K(y \ 1,z)) * z = x * (z * K(y \ 1,z)). [para(5224(a,1),6563(a,1,2)),flip(a)]. 6565 R(x,K(y \ 1,z),z) = x. [hyper(3159,a,6564,a)]. 6566 R(x,K(y,z),z) = x. [para(73(a,1),6565(a,1,2,1))]. 6567 R(x,y,K(z,y)) = x. [hyper(6332,a,6566,a)]. 6568 (x * K(y,z)) * z = x * (z * K(y,z)). [para(6566(a,1),3157(a,1,1)),flip(a)]. 6569 (x * y) * K(z,y) = x * (y * K(z,y)). [para(6567(a,1),122(a,1,1)),flip(a)]. 6570 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(87,a,6568,a)]. 6572 L(K(x,y),y,z) = K(x,y). [hyper(422,a,6569,a)]. 6573 (x * K(y,z)) * z = (x * z) * K(y,z). [hyper(255,a,6568,a,b,6569,a),flip(a)]. 6574 (x * y) * K(z,y) = x * ((z * y) / z). [hyper(255,a,5421,a,b,6569,a)]. 6576 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(5268(a,1),6569(a,2,2))]. 6577 L(K(x,y),y,z) = K(x,y * K(x,y)). [hyper(255,a,5392,a,b,6572,a)]. 6579 a(x,y,K(z,y)) = 1. [hyper(39,a,6572,a)]. 6580 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(255,a,6195,a(flip),b,6572,a(flip)),flip(a)]. 6581 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(6572(a,1),50(a,1,1)),flip(a)]. 6583 L(K(x,y),x,z) = K(y,x) \ 1. [para(6572(a,1),6483(a,1,1)),flip(a)]. 6584 a(x,T(y,z),K(z,y)) = 1. [para(4195(a,1),6579(a,1,3))]. 6585 L(K(x,y),T(y,x),z) = K(x,y). [hyper(38,a,6584,a)]. 6586 L(K(x,y),x,z) = K(x,y). [hyper(255,a,5381,a(flip),b,6583,a)]. 6587 L(K(x,y),x,z) != u | K(x,y) = u. [para(6583(a,2),5384(a,1))]. 6588 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(255,a,5256,a,b,6586,a(flip)),flip(a)]. 6589 x \ ((x / y) * T(y,z)) = K(y,z). [hyper(255,a,5260,a(flip),b,6586,a(flip)),flip(a)]. 6591 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(6586(a,1),495(a,1,2,1))]. 6594 (x * T(y,z)) \ (x * y) = K(z,y). [hyper(255,a,5202,a(flip),b,6585,a(flip)),flip(a)]. 6595 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(6175,a,6580,a)]. 6597 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [hyper(255,a,5381,a,b,6580,a)]. 6598 K((x \ y) \ 1,(y \ x) \ 1) = K(y \ x,x \ y). [hyper(255,a,2789,a(flip),b,6580,a)]. 6599 T(K(x,y / z),y) = K(x,z \ y). [hyper(255,a,6088,a,b,6580,a(flip)),flip(a)]. 6601 K(x,((y * z) \ y) \ 1) = K(x,z). [para(18(a,1),6580(a,2,2))]. 6602 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(29(a,2),6580(a,1,2,1)),flip(a)]. 6604 K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). [para(114(a,2),6580(a,1,2,1))]. 6605 K(x,L(y,z \ 1,z) \ z) = K(x,((z \ 1) * y) \ 1). [para(383(a,1),6580(a,1,2,1)),flip(a)]. 6606 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(643(a,1),6580(a,1,2,1)),flip(a)]. 6609 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5600(a,1),6580(a,1,2,1))]. 6610 K(x,(y \ K(z,u)) \ 1) = K(x,K(u,z) * y). [para(5600(a,1),6580(a,2,2))]. 6611 K(x,y \ z) * K(x * ((z \ y) \ 1),x) = x \ R(x,(z \ y) \ 1,x). [para(6580(a,1),5726(a,1,1))]. 6612 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(6580(a,1),6185(a,1,1)),flip(a)]. 6613 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6580(a,1),5775(a,1,2))]. 6614 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6580(a,1),6358(a,1,1)),flip(a)]. 6615 K(x,y) * K(y,z \ (x * z)) = K(x * z,K(x,y)). [para(6580(a,1),6133(a,1,2))]. 6618 (x * y) * K(y,z) = x * T(y,z). [para(6588(a,1),19(a,1,2))]. 6619 x \ (y * T(y \ x,z)) = K(y \ x,z). [para(19(a,1),6588(a,1,1))]. 6620 ((x / T(y,z)) * y) \ x = K(y,z). [para(21(a,1),6588(a,1,2))]. 6621 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6588(a,1),220(a,1,2)),flip(b)]. 6627 (x * (y / x)) \ (K(x,x \ y) * T(y,z)) = K(y,z). [para(5271(a,1),6588(a,1,1))]. 6629 (x / y) * T(y,z) = x * K(y,z). [para(6589(a,1),19(a,1,2)),flip(a)]. 6631 (x / y) \ (x * K(y,z)) = T(y,z). [para(6589(a,1),65(a,1,2,2))]. 6633 (x * T(y,z)) * K(z,y) = x * y. [para(6594(a,1),19(a,1,2))]. 6634 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(19(a,1),6594(a,1,2))]. 6635 ((x / y) * T(y,z)) \ x = K(z,y). [para(21(a,1),6594(a,1,2))]. 6637 K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). [para(33(a,2),6595(a,1,2,2)),flip(a)]. 6638 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(6595(a,1),6277(a,2,2))]. 6640 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(255,a,6272,a,b,6601,a(flip)),flip(a)]. 6641 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(6214,a,6618,a)]. 6642 R(x,y,K(y,z)) = x. [hyper(5331,a,6618,a)]. 6643 x * T(x \ y,z) = y * K(x \ y,z). [hyper(519,a,6618,a),flip(a)]. 6645 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(172,a,6618,a,b,19,a),flip(a)]. 6647 x * T(x \ y,z) != u | y * K(x \ y,z) = u. [para(6618(a,1),519(a,1))]. 6649 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(6618(a,1),487(a,1,2))]. 6650 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(6618(a,1),457(a,1,1))]. 6652 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(5175(a,1),6618(a,1,1)),flip(a)]. 6653 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(6618(a,1),6568(a,1,1)),flip(a)]. 6658 T(x,(x / y) / x) = T(x,1 / y). [hyper(172,a,5693,a(flip),b,6629,a)]. 6659 (x * T(y,z)) / y = x * K(y,z). [hyper(255,a,1345,a,b,6629,a(flip)),flip(a)]. 6660 (x / T(y,z)) * K(y,z) = x / y. [hyper(255,a,1346,a(flip),b,6629,a(flip))]. 6662 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6629(a,1),860(a,1,2,1))]. 6663 (x * K(y,z)) * y = x * T(y,z). [para(6629(a,1),1343(a,1,1))]. 6664 (x * K(y,z)) \ (x * T(y,z)) = y. [para(6629(a,1),1347(a,1,1))]. 6665 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(6631(a,1),6032(a,1,2))]. 6666 (x * K(y,z)) / z = x / T(z,y). [hyper(535,a,6633,a)]. 6667 (x / T(y,z)) * y = x * K(z,y). [hyper(308,a,6633,a),flip(a)]. 6669 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). [para(6633(a,1),457(a,1,2)),flip(a)]. 6670 (x * K(y,z)) \ x = K(z,y). [para(6629(a,1),6635(a,1,1))]. 6671 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(255,a,6191,a(flip),b,6670,a)]. 6672 (x * K(y,z)) * K(z,y) = x. [para(6670(a,1),19(a,1,2))]. 6673 x / K(y,z) = x * K(z,y). [para(6670(a,1),70(a,1,2))]. 6674 x * K(y,z) != u | u * K(z,y) = x. [para(6670(a,1),94(a,1,2)),flip(b)]. 6675 (x * K(y,z)) * K(z,y) != u | u = x. [para(6670(a,1),220(a,1,2))]. 6677 x / K(y,z) != u | x * K(z,y) = u. [para(6670(a,1),303(a,1,2)),flip(b)]. 6678 L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). [para(6670(a,1),114(a,1,1))]. 6680 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(6670(a,2),5600(a,1,1))]. 6681 (x \ R(x,y,x)) \ K(x * y,x) = K(y,x). [para(5942(a,1),6670(a,1,1))]. 6682 (K(x,y) * z) \ z = T(K(y,x),z). [para(6670(a,1),6303(a,1,1)),flip(a)]. 6683 L(L(K(x,y),z,u),K(y,x),w) = L(K(x,y),z,u). [para(6670(a,1),5398(a,2,1))]. 6684 (x * (y * K(z,u \ 1))) \ (x * y) = K(L(u,y,x) \ 1,z). [para(6190(a,1),6670(a,1,1))]. 6685 (x * (y * K(z,y))) \ (x * y) = K(y,z). [para(6569(a,1),6670(a,1,1))]. 6686 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(172,a,6672,a,b,5608,a)]. 6687 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [hyper(23,a,6102,a,b,6672,a)]. 6688 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(23,a,3604,a,b,6672,a)]. 6689 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(23,a,2075,a,b,6672,a)]. 6692 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y * K(z,u),K(u,z)). [para(6672(a,1),29(a,2,1,2)),flip(a)]. 6693 (x * K(y,z)) \ x != u | K(z,y) = u. [para(6672(a,1),222(a,1,2)),flip(b)]. 6695 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(6672(a,1),112(a,1,1))]. 6697 R(x * K(y,z),K(z,y),u) \ (x * u) = K(z,y) * u. [para(6672(a,1),149(a,1,2,1))]. 6699 (x * K(y,z)) * (y * K(z,y)) = x * y. [para(6672(a,1),6568(a,1,1)),flip(a)]. 6700 x / K(y,z) != x * u | K(z,y) = u. [para(6673(a,2),24(a,1))]. 6701 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(6673(a,1),253(a,1,1))]. 6702 R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [para(6673(a,1),4025(a,1,1,2))]. 6704 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(6673(a,1),5788(a,2,2))]. 6706 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [hyper(80,a,6641,a(flip),b,5187,a),flip(a)]. 6707 K((x \ y) \ 1,z) = K(y \ x,z). [para(19(a,1),6641(a,1,1,1,1))]. 6709 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(6641(a,1),5334(a,1,2))]. 6711 T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). [para(6658(a,1),6034(a,1,1))]. 6712 x \ (y * T(x,z)) = T(y * K(x,z),x). [para(6659(a,1),129(a,1,1)),flip(a)]. 6713 x * T(y * K(x,z),x) = y * T(x,z). [para(6659(a,1),171(a,1,2,1))]. 6714 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(6659(a,1),226(a,1,1)),flip(b)]. 6715 (1 / x) * K(x,y) = K(x,y) / x. [para(5241(a,2),6659(a,1,1)),flip(a)]. 6716 T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. [para(6659(a,1),6157(a,1,1))]. 6718 (x / y) * K(z,y) = x / T(y,z). [hyper(23,a,6672,a,b,6660,a),flip(a)]. 6719 (x * K(y,z)) * y = (x * y) * K(y,z). [hyper(255,a,6618,a,b,6663,a)]. 6722 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(80,a,6629,a(flip),b,6663,a)]. 6723 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(23,a,4695,a(flip),b,6663,a)]. 6724 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6663(a,1),29(a,2,1,2)),flip(a)]. 6725 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(6663(a,1),162(a,2,1))]. 6728 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(5206(a,1),6663(a,1,1))]. 6729 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6663(a,1),5946(a,1,2,1))]. 6730 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(6569(a,1),6663(a,1,1))]. 6731 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(6633(a,1),6663(a,1,1)),flip(a)]. 6732 (x * K(y,z)) * T(z,y) = x * z. [para(6672(a,1),6663(a,1,1)),flip(a)]. 6733 L(x,K(x,y),z) = x. [hyper(5349,a,6664,a)]. 6734 L(T(x,y),K(x,z),u) = T(x,y). [para(6733(a,1),45(a,2,1))]. 6735 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6733(a,1),429(a,1,2,1))]. 6737 L(x * y,K(y * x,z),u) = (y \ (y * x)) * y. [para(6733(a,1),5115(a,1,1,2)),flip(a)]. 6740 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(6734(a,1),50(a,1,1)),flip(a)]. 6741 x \ (y * K(z,x)) = T(y / T(x,z),x). [para(6666(a,1),129(a,1,1)),flip(a)]. 6742 (x * K(y,z / y)) / (z / y) = x / (y \ z). [para(129(a,1),6666(a,2,2))]. 6743 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(6666(a,1),4593(a,1,1,2))]. 6744 T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). [para(6666(a,1),4594(a,1,1,1,2))]. 6745 (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). [para(6666(a,1),6629(a,1,1))]. 6746 x * K(y,z) != u * z | x / T(z,y) = u. [para(6667(a,1),25(a,1))]. 6749 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(4423(a,1),6667(a,1,1))]. 6750 (K(x,y) * z) * T(K(y,x),z) = z. [para(6682(a,1),19(a,1,2))]. 6752 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(6688(a,1),123(a,2,2))]. 6754 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(255,a,6015,a,b,6707,a(flip)),flip(a)]. 6755 T(K(x / y,z),x) = K(y \ x,z). [hyper(255,a,5962,a,b,6707,a(flip)),flip(a)]. 6756 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(255,a,6548,a(flip),b,6707,a(flip)),flip(a)]. 6757 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(255,a,5961,a(flip),b,6707,a(flip))]. 6759 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(37(a,2),6707(a,1,1,1))]. 6761 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(114(a,2),6707(a,1,1,1))]. 6764 T(x,(y \ z) \ 1) = K(z \ y,x) \ x. [para(6707(a,1),5208(a,2,1))]. 6765 K(x \ y,z) \ z != u | T(z,(y \ x) \ 1) = u. [para(6707(a,1),5227(a,1,1))]. 6766 K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). [para(5600(a,1),6707(a,1,1,1))]. 6768 T(x,(y \ z) \ x) * K(z \ y,x) = L(x,(y \ z) \ 1,x). [para(6707(a,1),5725(a,1,2))]. 6769 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [para(6707(a,1),6018(a,2,2))]. 6770 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [para(6707(a,1),6231(a,2,2))]. 6771 x * (y * K((x \ 1) \ y,z)) = T(x * y,z). [para(6707(a,1),6244(a,1,2,2))]. 6772 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(6707(a,1),5518(a,1,2))]. 6773 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(6707(a,1),6406(a,1,2))]. 6774 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(6707(a,1),6470(a,1,1)),flip(a)]. 6775 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(6707(a,1),6521(a,1,2))]. 6776 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(6707(a,1),6023(a,1,1,2)),flip(a)]. 6777 x / T(y \ x,z) = y * K(z,y \ x). [hyper(302,a,6718,a),flip(a)]. 6778 (x / y) * K(x,y) = T(x,y) / y. [hyper(255,a,4456,a,b,6718,a)]. 6780 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(80,a,6718,a(flip),b,5905,a(flip)),flip(a)]. 6782 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(87,a,6723,a),flip(a)]. 6783 (x \ y) * K(y,x) = x \ T(y,x). [hyper(23,a,6672,a,b,6723,a),flip(a)]. 6784 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(87,a,6732,a)]. 6788 K(x / y,z) * x = x * K(y \ x,z). [para(6755(a,1),127(a,1,2)),flip(a)]. 6790 K(T(x,x \ y),z) = T(K(x,z),y). [para(128(a,2),6757(a,1,1))]. 6791 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(6179,a,6778,a)]. 6792 x \ T(x * y,x) = y * K(x * y,x). [para(18(a,1),6783(a,1,1)),flip(a)]. 6794 T(x,y) * K(y,T(x,y)) != z | z = x. [para(5212(a,1),6675(a,1,1))]. 6795 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(6660(a,1),6675(a,1,1)),flip(b)]. 6796 ((x \ 1) \ K(y,x)) \ ((x \ 1) \ 1) != z | K(x,y) = z. [para(3409(a,1),6693(a,1,1))]. 6797 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5984(a,1),6693(a,1,1))]. 6798 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5986(a,1),6693(a,1,1))]. 6799 (x * (y * K(z,y))) \ (x * y) != u | K(y,z) = u. [para(6569(a,1),6693(a,1,1))]. 6800 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(6095(a,1),6794(a,1))]. 6804 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(686,a,6570,a)]. 6805 L(x,K(y,x),z) = x. [para(3140(a,1),6804(a,1,1))]. 6806 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(6805(a,1),427(a,1,2,1))]. 6807 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(6805(a,1),428(a,1,2,1))]. 6808 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(6805(a,1),429(a,1,2,1))]. 6814 (x * ((y * z) / y)) * K(z,y) = x * z. [hyper(6674,a,6574,a)]. 6816 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(6574(a,1),6663(a,1,1))]. 6817 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(6597(a,2),5384(a,1))]. 6821 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(6619(a,1),439(a,1,1))]. 6823 x \ (y \ ((z \ (y * x)) * z)) = K((y \ z) \ x,z). [para(881(a,1),6619(a,1,2))]. 6826 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(1138(a,1),6634(a,1,1))]. 6827 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(832(a,1),6634(a,1,1))]. 6828 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1638(a,1),6634(a,1,1))]. 6829 T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). [para(2323(a,1),6634(a,1,1))]. 6832 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(6643(a,2),222(a,1,2)),flip(b)]. 6834 (x * K(y \ x,z)) * (y \ 1) = T(x * (y \ 1),z). [para(6643(a,1),973(a,1,1))]. 6837 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(6686(a,1),6101(a,1,1))]. 6838 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(6686(a,1),6800(a,1,1)),flip(b)]. 6839 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(5600(a,2),6687(a,1,1))]. 6840 (x * y) / ((z * y) / z) = x * K(y,z). [hyper(5838,a,6699,a)]. 6841 x / (y * K(z,y)) = (x / y) * K(y,z). [hyper(81,a,21,a(flip),b,6699,a)]. 6847 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(80,a,112,a(flip),b,6731,a)]. 6848 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(6731(a,1),4481(a,1,2))]. 6849 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(255,a,5968,a(flip),b,6759,a(flip))]. 6850 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(255,a,5208,a,b,6764,a)]. 6852 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(6764(a,2),5227(a,1))]. 6854 T(x,(y * z) \ y) = T(x,z \ 1). [para(18(a,1),6850(a,1,2,1)),flip(a)]. 6857 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(37(a,2),6850(a,1,2,1))]. 6858 T(x,L(y \ 1,y,z) \ 1) = T(x,z \ (z * y)). [para(162(a,2),6850(a,1,2,1))]. 6859 (1 / (x \ y)) * T(z,y \ x) = z * (1 \ (1 / (x \ y))). [para(6850(a,1),3387(a,1,2))]. 6861 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(6850(a,1),6159(a,1))]. 6864 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(23,a,3145,a(flip),b,6788,a)]. 6866 (x \ T(x * y,x)) \ (y * K(z,K(x * y,x))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(6792(a,2),5366(a,1,1))]. 6867 (x / ((y * z) / y)) * z = x * K(z,y). [hyper(308,a,6814,a),flip(a)]. 6870 T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u). [para(6837(a,1),43(a,1,1)),flip(a)]. 6871 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(6837(a,1),6800(a,1,1)),flip(b)]. 6872 x / T(K(y,z),x) = K(y,z) \ x. [hyper(23,a,4452,a,b,6839,a),flip(a)]. 6873 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(255,a,5438,a(flip),b,6840,a(flip)),flip(a)]. 6874 x / ((y * z) / y) = (x / z) * K(z,y). [hyper(255,a,251,a(flip),b,6840,a(flip)),flip(a)]. 6878 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(5268(a,1),6841(a,1,2)),flip(a)]. 6879 x / (y / (y / z)) = (x / z) * K(z,y / z). [para(5425(a,2),6841(a,1,2))]. 6880 x / T(y * x,T(y,x) \ 1) = (y * x) \ x. [para(6857(a,2),199(a,1,2))]. 6882 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(4524(a,1),6867(a,1,1,2))]. 6884 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(6674,a,6874,a(flip))]. 6886 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [para(19(a,1),6884(a,1,1,2,1))]. 6887 x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(6884(a,1),883(a,2,1,2))]. 6889 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = ((1 / (x / ((y * z) / y))) \ K(y,z)) * (1 / (x / ((y * z) / y))). [para(6884(a,1),5023(a,1,2,1))]. 6890 ((x * y) * z) * K(y * z,u) != w | R(x,y,z) * T(y * z,u) = w. [para(122(a,1),6621(a,1,1))]. 6891 x \ (R(x,y,x) * T(R(x,y,x) \ (x * K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(6681(a,1),1553(a,2,2,1))]. 6893 (x * ((y * z) / y)) * y != u | (x * z) * T(y,z) = u. [para(6574(a,1),6714(a,1,1))]. 6895 x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. [para(144(a,1),6795(a,1,1))]. 6896 K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u. [para(37(a,2),6817(a,1,2,1))]. 6897 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(114(a,2),6817(a,1,2,1))]. 6898 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(3707(a,2),6817(a,1))]. 6899 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(5600(a,1),6817(a,1,2,1))]. 6900 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(6088(a,2),6817(a,1))]. 6901 T(x,T(y,z) \ 1) != u | T(x,(y * z) \ z) = u. [para(37(a,2),6852(a,1,2,1))]. 6902 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(3341(a,1),6900(a,1))]. 6903 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [hyper(308,a,6576,a),flip(a)]. 6906 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(255,a,2410,a(flip),b,6613,a),flip(a)]. 6907 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(255,a,5413,a(flip),b,6645,a(flip))]. 6908 x * T(y / x,T(x,z)) = T(y,K(x,z)). [para(21(a,1),6907(a,1,1)),flip(a)]. 6909 x \ T(y,K(x,z)) = T(y / x,T(x,z)). [hyper(87,a,6908,a)]. 6911 ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). [hyper(81,a,6730,a(flip),b,122,a)]. 6912 ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). [para(6056(a,1),6742(a,1,1))]. 6913 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(6766(a,1),5965(a,2,1))]. 6914 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(255,a,5009,a(flip),b,6769,a(flip)),flip(a)]. 6915 K((x \ 1) \ y,x) = K(x * y,x). [hyper(22,a,6792,a(flip),b,6769,a(flip))]. 6916 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6769(a,1),5026(a,1,1))]. 6917 K((1 / x) \ y,x) = K(x * y,x). [hyper(255,a,5755,a,b,6915,a(flip)),flip(a)]. 6918 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(255,a,3337,a,b,6816,a)]. 6919 K(x,1 / x) * (y / x) = y / (1 / (1 / x)). [hyper(255,a,2259,a,b,6879,a),flip(a)]. 6922 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(6666(a,1),6882(a,1,1)),flip(a)]. 6925 (x / y) * (z * K(y,1 / y)) = (x / (1 / (1 / y))) * z. [para(6919(a,1),4956(a,1,1)),flip(a)]. 6927 L(x * y,K(y * x,z),u) = x * y. [para(18(a,1),6737(a,2,1))]. 6928 (x * K(y * z,u)) * (z * y) = x * (K(y * z,u) * (z * y)). [para(6927(a,1),112(a,1,2))]. 6929 (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. [para(6740(a,1),224(a,1,2))]. 6930 T(x,y \ z) != u | T(x,(z \ y) \ 1) = u. [para(5208(a,2),6765(a,1))]. 6931 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(881(a,1),6832(a,1,2))]. 6933 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(832(a,1),6832(a,1,2))]. 6934 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(5513(a,1),6832(a,1))]. 6936 T(K(x / y,z),x) != u | K(y \ x,z) = u. [para(5962(a,2),6934(a,1))]. 6939 K(x / y,x) != z | K(y \ x,x) = z. [para(3139(a,1),6936(a,1))]. 6941 T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. [para(5608(a,1),6838(a,1,1))]. 6942 T(x,L(y \ 1,y,z) \ 1) = T(x,y). [para(18(a,1),6858(a,2,2))]. 6943 T(x,x \ T(x * y,y \ 1)) = T(x,y). [hyper(255,a,6242,a,b,6942,a(flip)),flip(a)]. 6945 T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,y). [para(21(a,1),6943(a,1,2,2,1))]. 6947 T(x * T(y,z),K(z,y)) != u | K(y,z) * (x * y) = u. [para(6618(a,1),6871(a,1,1))]. 6949 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(3052(a,1),6612(a,1,2,1)),flip(a)]. 6950 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(37(a,2),6615(a,1,2,2))]. 6951 T(K(x,y),y * z) = K(x,T(y,z)). [hyper(22,a,6090,a,b,6950,a),flip(a)]. 6952 T(K(x,y),z * y) = K(x,T(y,z)). [hyper(255,a,6298,a,b,6951,a(flip)),flip(a)]. 6953 K(x,T(y,y \ z)) = T(K(x,y),z). [para(19(a,1),6951(a,1,2)),flip(a)]. 6954 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(6951(a,1),127(a,1,2))]. 6955 K(x,y) * K(y,T(x,z)) != u | K(x * z,K(x,y)) = u. [para(6951(a,1),6116(a,1,2))]. 6956 K(x,T(y,z / y)) = T(K(x,y),z). [para(21(a,1),6952(a,1,2)),flip(a)]. 6957 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(255,a,5900,a(flip),b,6954,a)]. 6958 K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). [hyper(255,a,5053,a,b,6652,a),flip(a)]. 6960 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(162(a,2),6706(a,1,1,1))]. 6964 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(6284(a,2),6749(a,2,2))]. 6965 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(5147(a,1),6754(a,1,2))]. 6966 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(6934,a,6756,a),flip(a)]. 6967 (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. [hyper(6674,a,6772,a)]. 6968 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))). [para(6772(a,1),4154(a,1,2,2)),flip(a)]. 6970 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(22,a,6773,a,b,6775,a)]. 6971 (x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z). [para(6775(a,1),6670(a,1,1))]. 6972 1 / K((x * y) \ z,x) = K(x,(y * x) \ z). [para(6970(a,1),5394(a,1,2))]. 6973 K(x,(y * x) \ z) = K(x,(x * y) \ z). [hyper(5395,a,6972,a),flip(a)]. 6974 K(x,(y * x) \ z) != u | K(x,(x * y) \ z) = u. [para(6972(a,1),5395(a,1))]. 6975 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5726(a,1),6791(a,1,2))]. 6976 R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). [para(6975(a,1),160(a,2,2))]. 6977 R(x,K(y,z),T(z,u)) = x. [hyper(454,a,6806,a)]. 6978 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [hyper(5918,a,6834,a)]. 6979 T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). [para(129(a,2),6912(a,1,1))]. 6980 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5763(a,1),6914(a,2,2))]. 6981 T(x / y,(x / y) \ T(x,y \ 1)) = y \ x. [hyper(255,a,129,a(flip),b,6945,a)]. 6982 T(x,y \ 1) / (y \ x) = (x / y) \ T(x,y \ 1). [para(6981(a,1),199(a,1,2))]. 6983 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(255,a,6823,a(flip),b,6965,a(flip))]. 6984 (x \ y) * K((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(6967(a,1),6675(a,1,1)),flip(b)]. 6985 T(x,(y \ 1) \ 1) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(3371(a,1),6982(a,2,2))]. 6986 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [hyper(255,a,6612,a(flip),b,6604,a(flip)),flip(a)]. 6987 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(6587,a,6986,a),flip(a)]. 6988 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(19(a,1),6986(a,2,2,1))]. 6989 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(19(a,1),6986(a,2,2,2))]. 6990 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(73(a,1),6986(a,1,1,2)),flip(a)]. 6991 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(114(a,2),6986(a,2,2))]. 6992 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(19(a,1),6987(a,1,2,1)),flip(a)]. 6993 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [para(19(a,1),6987(a,1,2,2))]. 6994 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [para(6987(a,1),5252(a,2,2))]. 6995 K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). [para(5608(a,1),6987(a,1,2,1)),flip(a)]. 6996 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(255,a,6439,a(flip),b,6992,a(flip))]. 6997 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(6293(a,2),6992(a,1,2,1))]. 6998 K(x,L(y \ z,y,K(z,u))) = K(x,y \ z). [hyper(255,a,4398,a(flip),b,6991,a(flip))]. 6999 L(K(x,y \ z),z,y \ 1) = K(x,(1 / y) * z). [para(3052(a,1),6991(a,2,2))]. 7000 K(x,(K(y,z) * u) \ T(y,z)) = K(x,u \ y). [para(5345(a,1),6998(a,1,2))]. 7001 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(255,a,5252,a,b,6994,a)]. 7002 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(19(a,1),7001(a,1,2,1)),flip(a)]. 7003 K(x,(y \ z) \ K(u,y)) = K(x,z \ (y * K(u,y))). [hyper(255,a,5913,a(flip),b,6988,a(flip)),flip(a)]. 7004 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(6988(a,1),45(a,2,1))]. 7005 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(6988(a,1),112(a,1,2))]. 7006 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(19(a,1),6990(a,1,2,2))]. 7007 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(116(a,2),6990(a,1,2))]. 7008 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [hyper(255,a,6483,a,b,7007,a)]. 7009 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(20(a,1),7007(a,1,2,2)),flip(a)]. 7010 L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)). [para(6659(a,1),7007(a,1,2,2)),flip(a)]. 7011 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(5004,a,7009,a),flip(a)]. 7012 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(255,a,6581,a,b,7009,a(flip)),flip(a)]. 7013 K(1 / x,L(x,y,z)) = K(1 / x,x). [hyper(255,a,4949,a(flip),b,7009,a(flip))]. 7014 K(x,L(1 / y,y,z)) = K(x,1 / y). [hyper(255,a,4927,a(flip),b,7009,a(flip))]. 7015 T(x,K(y,L(x,z,u))) = x. [para(7009(a,1),3223(a,1,2))]. 7016 K(1 / L(x,y,z),L(x,u,w)) = L(K(1 / x,x),y,z). [para(7013(a,1),6478(a,1,1)),flip(a)]. 7017 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(7008(a,2),6486(a,1))]. 7018 L(K(x,y \ z),z,y \ 1) = K(x,(y \ 1) * z). [hyper(255,a,5807,a(flip),b,6999,a)]. 7019 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). [para(437(a,1),7011(a,1,2)),flip(a)]. 7020 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(7009(a,1),7012(a,1,1))]. 7021 K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. [para(70(a,1),7017(a,1,2,2))]. 7022 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(116(a,1),7017(a,1,2))]. 7023 K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(373(a,2),6637(a,1,2))]. 7024 (x * K(y,z)) \ (x * T(y,u)) = K(z,y) * T(y,u). [para(6977(a,1),6697(a,1,1))]. 7025 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [para(7024(a,1),298(a,1,2))]. 7026 (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). [para(3360(a,1),7025(a,1,2)),flip(a)]. 7027 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(5540(a,1),7025(a,1,2)),flip(a)]. 7028 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(5541(a,1),7025(a,1,2)),flip(a)]. 7029 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(7028(a,1),6663(a,1,1)),flip(a)]. 7030 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(255,a,6774,a(flip),b,6761,a(flip)),flip(a)]. 7031 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(255,a,5889,a(flip),b,7030,a)]. 7032 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(19(a,1),7030(a,2,1,1))]. 7033 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(19(a,1),7030(a,2,1,2))]. 7034 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(73(a,1),7030(a,1,1,1)),flip(a)]. 7035 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(127(a,1),7030(a,2,1,2))]. 7036 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(114(a,2),7030(a,2,1))]. 7037 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(5608(a,1),7030(a,2,1,1))]. 7038 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(6915(a,1),7030(a,1,1))]. 7039 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(1977(a,2),7036(a,2,1))]. 7040 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(3052(a,1),7036(a,2,1))]. 7041 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(255,a,7020,a(flip),b,7032,a(flip)),flip(a)]. 7042 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(255,a,6988,a(flip),b,7032,a(flip)),flip(a)]. 7043 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(255,a,6572,a(flip),b,7032,a(flip)),flip(a)]. 7044 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(116(a,2),7034(a,1,1))]. 7045 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(255,a,33,a(flip),b,7044,a)]. 7046 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(20(a,1),7044(a,1,1,2)),flip(a)]. 7047 K(L(x,y,z),y * x) = K(x,y * x). [hyper(255,a,6572,a(flip),b,7046,a(flip))]. 7048 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(7046(a,1),485(a,1,2))]. 7049 K(L(x,y,z),y * x) = K(x,x * y). [hyper(255,a,5842,a(flip),b,7047,a)]. 7050 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [hyper(5004,a,7040,a),flip(a)]. 7051 L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z). [hyper(255,a,5756,a(flip),b,7040,a)]. 7052 K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). [para(70(a,1),7050(a,1,1,1)),flip(a)]. 7053 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(6677,a,7048,a)]. 7054 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(7048(a,1),6700(a,1)),flip(a)]. 7056 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(6848(a,1),636(a,1))]. 7057 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [hyper(255,a,5816,a(flip),b,6949,a)]. 7058 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1723(a,1),6960(a,2,2))]. 7059 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(5600(a,1),6989(a,1,1,2))]. 7060 K(1 / L(x,y,z),L(x,u,w)) = K(1 / x,x). [hyper(255,a,4949,a(flip),b,7016,a)]. 7062 L(x,y,z) * K(1 / x,x) = 1 / (1 / L(x,y,z)). [para(7060(a,1),1537(a,1,2))]. 7063 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(114(a,1),7021(a,1,2))]. 7064 K(x,(y * z) \ u) != w | L(K(x,z \ (y \ u)),y \ u,y) = w. [para(241(a,1),7021(a,1,2))]. 7065 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(255,a,6745,a(flip),b,7029,a(flip)),flip(a)]. 7066 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(255,a,3764,a(flip),b,7033,a(flip))]. 7067 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(7033(a,1),418(a,1,2)),flip(a)]. 7068 L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). [para(6915(a,1),7033(a,1,1))]. 7069 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6983(a,1),7033(a,1,1))]. 7070 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(255,a,5416,a,b,7066,a(flip)),flip(a)]. 7071 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(7045(a,2),431(a,1))]. 7072 K(L(x \ y,x,z),u) != w | L(K(x \ y,u),y,z) = w. [para(70(a,1),7071(a,1,1,2))]. 7073 K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1). [para(73(a,1),7057(a,1,1,2)),flip(a)]. 7074 K((x * y) \ (x * z),u) != w | L(K(y \ z,u),z,x) = w. [para(114(a,1),7072(a,1,1))]. 7075 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2545(a,2),6606(a,1,2))]. 7076 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(6475(a,1),6671(a,1,1,2))]. 7077 (x * L(K(y,z),u,w)) * L(K(z,y),u,w) = x. [para(7076(a,1),19(a,1,2))]. 7078 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(7076(a,1),70(a,1,2))]. 7079 x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. [para(7076(a,1),94(a,1,2)),flip(b)]. 7081 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(112(a,1),7076(a,1,1))]. 7082 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(418(a,1),7076(a,1,1))]. 7083 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(209,a,7077,a),flip(a)]. 7084 x / L(L(K(y,z),u,w),K(z,y),v5) = x * L(K(z,y),u,w). [para(6683(a,2),7078(a,1,2))]. 7085 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(7083(a,1),24(a,1)),flip(a)]. 7086 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(7083(a,1),222(a,1,2)),flip(b)]. 7087 (x / y) * K(x,1 / y) = T(x,1 / y) / y. [para(73(a,1),6711(a,1,2)),flip(a)]. 7088 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(80,a,6776,a(flip),b,6643,a(flip))]. 7089 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(73(a,1),7088(a,1,2,1,2,1)),flip(a)]. 7090 R(x,K(y,z),R(z,u,w)) = x. [hyper(454,a,6807,a)]. 7091 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(255,a,6701,a(flip),b,7090,a(flip)),flip(a)]. 7092 R(x,K(y,z),L(z,u,w)) = x. [hyper(454,a,6808,a)]. 7093 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (y \ z)) \ u). [para(881(a,1),6827(a,1,1,2))]. 7094 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(832(a,1),6827(a,1,1,2))]. 7095 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1743(a,1),6827(a,1,1,2))]. 7096 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(255,a,45,a,b,6847,a)]. 7097 (1 / ((x * y) \ x)) * T(z,y) = z * (1 \ (1 / ((x * y) \ x))). [para(18(a,1),6859(a,1,2,2))]. 7098 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(5306(a,1),6913(a,1,1,1)),flip(a)]. 7099 K(x \ K(x,y),z) * y = y * K(x \ 1,z). [para(7098(a,1),127(a,1,2)),flip(a)]. 7100 K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). [para(6925(a,1),5811(a,1,2))]. 7101 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1423(a,1),6996(a,1,2)),flip(a)]. 7102 (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. [para(7026(a,1),3989(a,1,1)),flip(a)]. 7103 ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). [hyper(80,a,7052,a(flip),b,2516,a)]. 7104 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(5216(a,1),7096(a,2,1))]. 7105 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(449(a,2),6602(a,1,2))]. 7106 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(255,a,7081,a(flip),b,6678,a)]. 7107 K(L(x,y,z) \ 1,u) != w | L(K(x \ 1,u),y,z) = w. [para(6684(a,1),7086(a,1))]. 7108 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(6725(a,2),5453(a,1))]. 7109 T(x,y \ (z * x)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(7002(a,1),6768(a,1,1))]. 7110 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(6965(a,1),6931(a,1))]. 7112 K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [hyper(255,a,3841,a,b,7023,a(flip)),flip(a)]. 7113 (x / (K(y,z) * L(K(z,y),u,w))) * K(y,z) = x * L(K(y,z),u,w). [hyper(255,a,316,a(flip),b,7084,a(flip)),flip(a)]. 7114 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(73(a,1),6828(a,1,1,1,2,1))]. 7115 K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). [para(5547(a,1),6829(a,1,1,1)),flip(a)]. 7116 (x * K(y * z,u)) * (z * y) = x * (K(z,y) * T(y * z,u)). [para(6958(a,1),6928(a,2,2))]. 7117 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(3371(a,1),6985(a,1,1))]. 7118 ((x / (y \ 1)) \ T(x,y)) \ T(x,y) = (y \ 1) \ x. [para(7117(a,1),73(a,1,1))]. 7119 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(7005(a,1),24(a,1)),flip(a)]. 7120 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(59(a,1),7042(a,2,1))]. 7121 K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). [para(1309(a,1),7042(a,2,1))]. 7122 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(7067(a,2),6693(a,1,1))]. 7123 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(59(a,1),7097(a,2,2))]. 7124 T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). [para(7115(a,2),19(a,1,2))]. 7125 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [hyper(255,a,5608,a(flip),b,7116,a)]. 7126 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(23,a,6197,a,b,7125,a),flip(a)]. 7127 (x * y) * (K(y,x) * K(y * x,z)) = T(y * x,z). [para(7126(a,1),19(a,1,2))]. 7129 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(6653(a,1),5636(a,1,1))]. 7130 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(466,a,7129,a),flip(a)]. 7131 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5608(a,1),5663(a,1,2,2)),flip(a)]. 7132 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6382(a,1),5868(a,1,1))]. 7133 (1 / x) * (L(x,y,z) \ x) = 1 / L(x,y,z). [hyper(255,a,6192,a(flip),b,6188,a(flip))]. 7136 (1 / x) * ((L(x,y,z) \ 1) * x) = T(1 / L(x,y,z),x). [para(7133(a,1),1432(a,1,1)),flip(a)]. 7137 (x \ 1) \ T(1 / L(x,y,z),x) = (L(x,y,z) \ 1) * T(x,x \ 1). [hyper(80,a,7136,a(flip),b,3087,a)]. 7139 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(255,a,325,a(flip),b,6473,a)]. 7141 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(1150(a,1),7139(a,1,2))]. 7142 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(42,a,7141,a)]. 7143 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(40,a,7142,a)]. 7144 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(1153(a,2),7143(a,1,1))]. 7145 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(7144(a,1),4423(a,1,2)),flip(a)]. 7146 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(255,a,3739,a(flip),b,7145,a)]. 7147 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(1153(a,1),7146(a,1,1))]. 7148 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4564(a,1),6554(a,1,1)),flip(a)]. 7149 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(255,a,4141,a(flip),b,7148,a)]. 7150 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(23,a,5444,a,b,7149,a)]. 7151 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(255,a,5736,a,b,7150,a)]. 7152 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4624(a,1),7151(a,1,2))]. 7153 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(7152(a,1),73(a,1,1))]. 7154 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5736(a,1),7153(a,1,1))]. 7155 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(5217(a,2),7154(a,1,1,2))]. 7156 ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). [para(6663(a,1),6911(a,1,2))]. 7157 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [hyper(466,a,7156,a),flip(a)]. 7158 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [para(5268(a,1),7157(a,1,2)),flip(a)]. 7161 L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(6431(a,2),7059(a,2,2,1))]. 7162 L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). [para(7099(a,2),7059(a,2,2,1))]. 7163 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(255,a,7033,a(flip),b,7069,a(flip))]. 7164 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(19(a,1),7163(a,2,1,1))]. 7165 K(((x \ y) * x) \ z,y) = K(y \ z,y). [para(70(a,1),7164(a,1,1,1,2))]. 7166 T(x,((y \ x) * y) \ z) = (u * K(x \ z,x)) \ (u * x). [para(7165(a,1),6784(a,1,1,2)),flip(a)]. 7167 T(x,((y \ x) * y) \ z) = T(x,x \ z). [hyper(255,a,5204,a,b,7166,a)]. 7168 T(x,x \ T(y,y \ x)) = T(x,x \ y). [para(6064(a,1),7167(a,1,2))]. 7169 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(7168(a,1),199(a,1,2))]. 7170 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [hyper(255,a,601,a(flip),b,7169,a(flip)),flip(a)]. 7171 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [hyper(255,a,5639,a(flip),b,7170,a(flip))]. 7172 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5683(a,1),5356(a,1,2))]. 7173 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(6282(a,1),5648(a,1,1))]. 7174 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(255,a,4829,a(flip),b,7173,a(flip))]. 7175 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1424(a,1),7174(a,1,2,1))]. 7176 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [para(7175(a,1),73(a,1,1)),flip(a)]. 7177 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(313,a,7176,a)]. 7178 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(87,a,7176,a)]. 7179 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(7176(a,1),3455(a,1,2)),flip(a)]. 7180 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5774(a,1),5776(a,1,1))]. 7183 (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). [para(3702(a,1),7180(a,1,1,2)),flip(a)]. 7184 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3702(a,1),7183(a,1,2)),flip(a)]. 7186 K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). [hyper(255,a,6050,a(flip),b,6016,a(flip))]. 7187 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(255,a,6707,a(flip),b,7186,a)]. 7188 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(6934,a,7187,a)]. 7189 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(7188(a,1),5394(a,1,2)),flip(a)]. 7190 x / K(y \ x,T(x,z)) != u | T(x,T(y,z) \ T(x,z)) = u. [para(7188(a,1),5201(a,1,2))]. 7191 K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). [hyper(255,a,5394,a(flip),b,7189,a)]. 7192 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(19(a,1),6233(a,1,1,2,2,1))]. 7193 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(255,a,5786,a(flip),b,7192,a)]. 7194 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(7193(a,1),474(a,1,1))]. 7195 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(6386(a,1),6384(a,1,1))]. 7196 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(6458(a,1),19(a,1,2))]. 7197 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(255,a,49,a(flip),b,6498,a)]. 7198 x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). [para(5184(a,2),6514(a,1,2)),flip(a)]. 7199 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(255,a,5286,a(flip),b,7198,a)]. 7200 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(3481(a,1),7199(a,1,2))]. 7201 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [para(7200(a,1),73(a,1,1))]. 7202 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(4395(a,1),6523(a,1,1)),flip(a)]. 7203 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(6146,a,7202,a)]. 7205 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(73(a,1),7203(a,1,1,2,1)),flip(a)]. 7206 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(120(a,2),7203(a,1,1))]. 7207 K(R(x,x \ 1,y),z) = K(x,z). [hyper(255,a,332,a(flip),b,7206,a)]. 7208 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(18(a,1),7206(a,1,1,2)),flip(a)]. 7209 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(7206(a,2),122(a,1,1))]. 7210 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5555(a,1),7206(a,1,1,2))]. 7211 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(7206(a,1),6670(a,1,1,2)),flip(a)]. 7212 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [hyper(255,a,6327,a(flip),b,7207,a)]. 7213 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(7208(a,1),51(a,1,1)),flip(a)]. 7214 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(21(a,1),7205(a,2,1,2))]. 7215 K((x * y) / z,x) = K(x / (z / y),x). [hyper(255,a,5911,a(flip),b,7214,a(flip))]. 7216 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(255,a,6128,a(flip),b,7215,a)]. 7217 K((x * y) / z,x) != u | K((z / y) \ x,x) = u. [para(7215(a,2),6939(a,1))]. 7218 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(255,a,6377,a(flip),b,7211,a(flip))]. 7219 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [para(7218(a,1),19(a,1,2))]. 7221 K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. [para(5561(a,1),6524(a,1,1,1)),flip(a)]. 7222 K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). [hyper(255,a,5007,a(flip),b,7221,a)]. 7223 K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). [hyper(255,a,5786,a(flip),b,7222,a(flip)),flip(a)]. 7224 K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). [para(4752(a,1),7223(a,1,2))]. 7225 K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). [hyper(255,a,7089,a,b,7224,a),flip(a)]. 7226 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(686,a,6528,a)]. 7227 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(7226(a,1),6477(a,1,1,1)),flip(a)]. 7228 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(255,a,5967,a(flip),b,7227,a)]. 7229 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(5147(a,1),7095(a,1,1,2))]. 7230 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(6629(a,1),7114(a,1,1,1)),flip(a)]. 7231 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(7230(a,2),19(a,1,2))]. 7232 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)). [para(6735(a,1),7230(a,2,1))]. 7233 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(7231(a,1),6670(a,1,1)),flip(a)]. 7234 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(6722(a,1),7231(a,1,2,2))]. 7235 R(x * K(y,z),K(y,u),K(z,y)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(80,a,7234,a(flip),b,122,a)]. 7236 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(6672(a,1),7234(a,1,1,1))]. 7237 ((x * K(y,z)) * K(z,u)) / (K(z,u) * K(y,z)) = R(x,K(z,u),K(y,z)). [hyper(81,a,7236,a(flip),b,122,a)]. 7238 (x * y) \ ((x * K(z \ x,u)) * y) = K((z * y) \ (x * y),u). [para(70(a,1),7233(a,1,1,1,1)),flip(a)]. 7239 (x * y) * K((z * y) \ (x * y),u) = (x * K(z \ x,u)) * y. [para(7238(a,1),19(a,1,2))]. 7240 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(22,a,6573,a(flip),b,7239,a)]. 7241 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [para(132(a,1),7240(a,1,1))]. 7242 (x * (y * K(z \ u,y))) \ (x * y) = K(y,(z * y) \ (u * y)). [para(7240(a,1),6685(a,1,1,2,2))]. 7243 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(7241(a,1),6507(a,1,1,1))]. 7244 K(x,(y * x) \ (z * x)) = K(x,y \ z). [hyper(6799,a,7242,a),flip(a)]. 7245 K(x,(x * y) \ (z * x)) = K(x,y \ z). [hyper(6974,a,7244,a)]. 7246 K(x,(y / x) \ z) = K(x,y \ (z * x)). [para(21(a,1),7244(a,1,2,1)),flip(a)]. 7247 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [para(19(a,1),7245(a,1,2,1)),flip(a)]. 7248 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [para(7246(a,1),6989(a,1,1))]. 7249 K(x,(y / x) \ z) = K(x,(x \ y) \ z). [hyper(255,a,7246,a,b,7247,a),flip(a)]. 7250 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(18(a,1),7247(a,1,2)),flip(a)]. 7251 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(7247(a,1),6989(a,1,1))]. 7252 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [hyper(255,a,3312,a,b,7248,a)]. 7253 L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(2374(a,2),7248(a,2,2,1,2))]. 7254 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(255,a,7248,a(flip),b,7251,a(flip)),flip(a)]. 7255 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(7254(a,1),5602(a,1,2,2))]. 7256 L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(7254(a,1),6989(a,1,1))]. 7257 (L(x,y,z) \ 1) * T(x,x \ 1) = (x \ 1) \ (L(x,y,z) \ 1). [para(6328(a,1),7137(a,1,2)),flip(a)]. 7258 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(255,a,5089,a(flip),b,7257,a(flip))]. 7259 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(3196,a,7258,a)]. 7260 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [para(7258(a,1),19(a,1,2))]. 7261 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(255,a,7147,a,b,7260,a),flip(a)]. 7262 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2564,a,7261,a)]. 7263 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(5272(a,1),7172(a,1,2,2)),flip(a)]. 7264 L(L(x,y,z),z * y,K(y,z)) = L(x,T(y,z),z). [hyper(255,a,178,a(flip),b,7263,a)]. 7265 L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. [para(7263(a,2),750(a,1))]. 7266 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(255,a,7093,a(flip),b,7229,a(flip))]. 7267 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(19(a,1),7266(a,2,2,1))]. 7268 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(70(a,1),7266(a,1,2,1,2)),flip(a)]. 7269 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(314(a,1),7268(a,1,2,1)),flip(a)]. 7270 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(6667(a,1),7269(a,1,2,1))]. 7271 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(5203(a,1),7270(a,1,2,1)),flip(a)]. 7272 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(7255(a,1),5694(a,1))]. 7273 L(T(x,y),T(z,x),K(x,z)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(5182(a,2),5231(a,1,1,3))]. 7274 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [para(5910(a,1),7273(a,1,1)),flip(a)]. 7275 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(5538(a,2),7274(a,1,2))]. 7278 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(5439(a,1),703(a,2,1)),flip(a)]. 7279 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5828,a,7278,a)]. 7280 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(5441(a,1),918(a,1,1,1))]. 7281 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(848(a,1),5529(a,1,2))]. 7282 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(775(a,2),5644(a,1,2,2,1))]. 7283 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(5906(a,1),5914(a,1,2))]. 7284 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. [hyper(255,a,127,a(flip),b,6339,a)]. 7287 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(3837(a,2),6340(a,2,2))]. 7288 ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). [para(1299(a,1),6350(a,1,2))]. 7289 K((x / y) \ 1,z \ (y / x)) = K(y / x,((z * x) / y) \ 1). [hyper(255,a,6001,a(flip),b,6401,a(flip)),flip(a)]. 7290 K((x / y) \ 1,z \ (y / x)) = K(y / x,y / (z * x)). [hyper(255,a,5786,a(flip),b,7289,a)]. 7292 K(x / y,x / (z * y)) != u | K(x / y,z \ (x / y)) = u. [para(7290(a,1),6146(a,1))]. 7293 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(4177(a,1),6503(a,2,2))]. 7294 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(255,a,4183,a(flip),b,7293,a(flip))]. 7295 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3371(a,1),7294(a,1,2,2)),flip(a)]. 7296 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(3371(a,1),7295(a,1,1,1)),flip(a)]. 7297 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [para(7296(a,1),73(a,1,1))]. 7298 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(129(a,1),7297(a,1,1,1,1))]. 7299 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(129(a,1),7298(a,2,2))]. 7300 K(x,y \ z) * K((z \ y) \ x,x) = x \ R(x,(z \ y) \ 1,x). [para(5734(a,1),6611(a,1,2))]. 7301 K(x,y \ z) * K(y \ (z * x),x) = x \ R(x,(z \ y) \ 1,x). [para(7043(a,1),7300(a,1,2))]. 7302 (x * (y * T(z,y))) \ ((x * y) * T(z,y)) = a(x,y * K(z,y),z). [para(6730(a,1),6724(a,1,2))]. 7303 a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. [para(7302(a,1),636(a,1))]. 7304 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6821(a,2),6933(a,1))]. 7305 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(7082(a,1),7122(a,1))]. 7306 L(K(x,y),z \ u,z) != w | K(x,(z * ((z \ u) / y)) \ u) = w. [para(73(a,1),7305(a,1,1,2))]. 7307 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(5600(a,1),7305(a,1,1,2))]. 7308 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (y / x)) \ u) = w. [para(7246(a,1),7305(a,1,1))]. 7309 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. [para(7247(a,1),7305(a,1,1))]. 7310 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(255,a,7208,a(flip),b,7195,a(flip))]. 7311 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(7310(a,1),5605(a,1,2,1)),flip(a)]. 7312 R(x,K(y,z),K(u,y)) = R(x,K(u,y),K(y,z)). [hyper(2087,a,7237,a),flip(a)]. 7313 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(2216(a,1),7282(a,1,2))]. 7314 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(255,a,7284,a(flip),b,7287,a(flip))]. 7315 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [para(7314(a,1),73(a,1,1))]. 7316 R(x,K(y \ 1,z),y) != u | R(x,y,K(y \ 1,z)) = u. [para(7288(a,1),466(a,1))]. 7317 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(7311(a,2),5613(a,1))]. 7318 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). [para(3989(a,1),4913(a,1,2,1)),flip(a)]. 7319 T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). [hyper(255,a,5103,a(flip),b,7318,a(flip))]. 7321 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(80,a,5294,a(flip),b,5225,a),flip(a)]. 7322 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(5380(a,1),5908(a,1,1))]. 7323 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3461(a,1),6134(a,1,3))]. 7324 T(x,y) \ (1 / (1 / T((T(z,x) * x) / T(z,x),y))) = (T(T(x,z),y) \ 1) * T(x,y). [para(4459(a,1),6325(a,2,1,1))]. 7325 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(6107(a,1),6344(a,1,2))]. 7326 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(73(a,1),6549(a,1,1,1,1,2)),flip(a)]. 7327 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6707(a,1),7326(a,1,2))]. 7328 K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). [hyper(22,a,3974,a,b,7327,a),flip(a)]. 7329 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5763(a,1),7327(a,1,2))]. 7330 K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). [para(70(a,1),7328(a,2,1,2))]. 7331 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). [hyper(255,a,3879,a,b,7330,a(flip)),flip(a)]. 7332 (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). [para(3187(a,1),7331(a,1,1,2))]. 7333 K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). [hyper(4043,a,7332,a),flip(a)]. 7334 K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). [para(128(a,2),7333(a,1,2,2))]. 7335 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). [hyper(255,a,5891,a(flip),b,7334,a(flip))]. 7336 K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). [hyper(255,a,7019,a(flip),b,7335,a(flip))]. 7337 K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). [hyper(255,a,7328,a,b,7336,a(flip)),flip(a)]. 7338 (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). [para(935(a,1),6550(a,1,1))]. 7339 (1 / x) * ((x \ y) \ T((x \ y) * x,x)) = (x \ T(y,x)) * ((x \ y) \ 1). [para(1677(a,1),7338(a,1,1)),flip(a)]. 7341 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(255,a,6601,a(flip),b,6640,a(flip)),flip(a)]. 7343 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6618(a,1),6650(a,1,2)),flip(a)]. 7344 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(255,a,35,a,b,7343,a)]. 7345 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(7343(a,2),466(a,1))]. 7346 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(255,a,51,a,b,7344,a(flip)),flip(a)]. 7347 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(6041(a,1),6980(a,2,2))]. 7348 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(127(a,1),7094(a,1,1,2,2))]. 7349 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(5145(a,2),7348(a,1,1))]. 7350 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(5311(a,1),7104(a,1,1,2))]. 7351 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(5284(a,1),7350(a,1,2,2))]. 7352 (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(7259(a,1),4020(a,2,1)),flip(a)]. 7353 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(7251(a,1),7308(a,1))]. 7354 K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. [para(7248(a,1),7309(a,1))]. 7355 (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). [para(5060(a,1),7339(a,1,2)),flip(a)]. 7356 K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). [hyper(255,a,5442,a,b,7355,a),flip(a)]. 7357 (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). [para(18(a,1),7356(a,2,2,1)),flip(a)]. 7358 (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). [para(5600(a,1),7357(a,1,2))]. 7359 K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). [para(7224(a,2),7358(a,1,1))]. 7360 K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). [para(17(a,1),7359(a,1,2))]. 7361 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(255,a,7329,a(flip),b,7347,a)]. 7362 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(255,a,5055,a(flip),b,5068,a(flip))]. 7363 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(4058(a,2),5070(a,1,1))]. 7364 ((x * y) * z) * a(z * K(x * y,z),x,y) = (x * y) * R(z,x,y). [hyper(255,a,5303,a(flip),b,5459,a)]. 7365 ((x * y) * z) \ ((x * y) * R(z,x,y)) != u | a(z * K(x * y,z),x,y) = u. [para(7364(a,1),222(a,1,2)),flip(b)]. 7366 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(6086(a,1),6089(a,1,3)),flip(a)]. 7367 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(7366(a,1),25(a,1))]. 7368 ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). [hyper(5484,a,6330,a),flip(a)]. 7369 (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). [para(1952(a,1),7368(a,1,1))]. 7370 (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. [hyper(255,a,6449,a(flip),b,7369,a)]. 7371 (R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1. [hyper(255,a,6452,a(flip),b,7370,a(flip)),flip(a)]. 7372 T(R(x,y,z) \ x,x \ 1) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(172,a,7371,a,b,19,a)]. 7374 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(255,a,6136,a(flip),b,7372,a)]. 7375 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(41,a,7374,a)]. 7376 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(7375(a,1),5309(a,1,1,1))]. 7377 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). [para(7376(a,1),2168(a,1,1)),flip(a)]. 7378 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(255,a,5786,a(flip),b,6397,a)]. 7379 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(255,a,6363,a(flip),b,7378,a(flip)),flip(a)]. 7380 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(5583(a,1),7379(a,1,1))]. 7381 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(255,a,7208,a(flip),b,7380,a(flip))]. 7382 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(19(a,1),7381(a,1,2,1,1)),flip(a)]. 7383 K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). [para(5904(a,1),7381(a,1,2,1))]. 7384 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(255,a,7206,a(flip),b,7382,a(flip))]. 7387 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(6741(a,1),6743(a,2,2))]. 7388 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(18(a,1),7280(a,2,1,1))]. 7389 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(5116(a,2),7362(a,1,2))]. 7390 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(230,a,7363,a),flip(a)]. 7391 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(7070(a,1),7390(a,2,1))]. 7392 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(7391(a,1),6237(a,1,2)),flip(a)]. 7393 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(255,a,5605,a(flip),b,7392,a)]. 7395 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(255,a,6429,a(flip),b,7393,a(flip)),flip(a)]. 7396 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(255,a,5585,a(flip),b,7393,a(flip)),flip(a)]. 7397 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(255,a,6402,a,b,7396,a(flip)),flip(a)]. 7398 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [hyper(255,a,4672,a(flip),b,7387,a)]. 7399 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(224,a,7389,a),flip(a)]. 7400 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(7397(a,1),7399(a,2,2))]. 7402 (x \ (y * (T(z,x) \ z))) * x = ((x \ y) * x) * (T(z,x) \ z). [para(167(a,1),5052(a,1,1)),flip(a)]. 7404 ((x \ y) * x) * (T(z,x) \ z) = (x \ (y * K(x,z))) * x. [para(5177(a,2),7402(a,1,1,2,2)),flip(a)]. 7405 (x \ (y * K(x,z))) * x = ((x \ y) * x) * K(x,z). [para(5177(a,2),7404(a,1,2)),flip(a)]. 7407 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(23,a,6719,a,b,7405,a)]. 7408 x * ((x \ y) * K(x,z)) = y * K(x,z). [para(7407(a,1),19(a,1,2))]. 7410 (x * y) * K(x,z) = x * (y * K(x,z)). [para(18(a,1),7408(a,1,2,1)),flip(a)]. 7411 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(7119,a,7410,a),flip(a)]. 7412 R(x,y,K(x,z)) = x. [hyper(454,a,7410,a)]. 7413 L(K(x,y),z,x) = K(x,y). [hyper(422,a,7410,a)]. 7414 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [hyper(255,a,5544,a,b,7410,a),flip(a)]. 7416 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(7410(a,1),6663(a,1,1))]. 7417 R(T(x,y),z,K(x,u)) = T(x,y). [para(7412(a,1),47(a,2,1))]. 7418 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(7412(a,1),51(a,1,1)),flip(a)]. 7419 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(7412(a,1),459(a,1,1,1)),flip(a)]. 7420 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(7412(a,1),460(a,1,1,1)),flip(a)]. 7421 R(K(x,y),z,K(y,u)) = K(x,y). [para(7412(a,1),6377(a,1,2)),flip(a)]. 7422 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(7412(a,1),7209(a,1,1,1)),flip(a)]. 7423 R(x,y,T(x,z)) = R(x,y,x). [para(7412(a,1),7346(a,1,1)),flip(a)]. 7424 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(7305,a,7413,a)]. 7426 a(x,y,K(x,z)) = 1. [hyper(39,a,7413,a)]. 7427 K(L(x,y,x),z) = K(x,z). [hyper(255,a,7046,a(flip),b,7413,a(flip)),flip(a)]. 7428 K(x,L(y,z,x)) = K(x,y). [hyper(255,a,7009,a(flip),b,7413,a(flip)),flip(a)]. 7429 (1 / x) \ K(x \ 1,y) = x * K(x \ 1,y). [hyper(80,a,7413,a(flip),b,3043,a)]. 7431 K(T(x / (x / y),x),z) = K(y,z). [para(4593(a,2),7427(a,1,1))]. 7432 K(R(x,y,x),z) = K(x,z). [para(4816(a,1),7427(a,1,1)),flip(a)]. 7433 T(x,L(y,z,y)) = x / K(y,x). [para(7427(a,1),5197(a,2,2))]. 7434 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(7427(a,1),5336(a,1,1))]. 7435 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(50(a,1),7428(a,1,2))]. 7436 K(x,(x \ 1) \ y) = K(x,x * y). [para(437(a,1),7428(a,1,2)),flip(a)]. 7437 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(677(a,1),7428(a,1,2)),flip(a)]. 7438 L(x * K(y,x),z,y) = L(x,z,y) * K(y,x). [para(7428(a,1),5984(a,1,2)),flip(a)]. 7439 K(x,K(y,L(z,u,x))) = K(x,K(y,z)). [para(7009(a,1),7428(a,1,2))]. 7440 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(7428(a,1),7046(a,1,1)),flip(a)]. 7441 K(x,(y * (x / y)) \ (x * z)) = K(x,K(y \ x,y) * z). [para(7131(a,1),7428(a,1,2))]. 7442 R(K(x,y),z,x) = K(x,y). [hyper(255,a,7206,a(flip),b,7432,a(flip)),flip(a)]. 7443 K(T(x,x \ y),z) = K(T(x,y),z). [para(4642(a,1),7432(a,1,1))]. 7444 R(x,y,x) * K(x,z) = T(R(x,y,x),z). [para(7432(a,1),5252(a,2,2)),flip(a)]. 7445 x * K(R(x,y,x),z) = T(x,z). [para(7432(a,2),5252(a,2,2)),flip(a)]. 7446 K(x,R(y,z,y)) = 1 / K(y,x). [para(7432(a,1),5394(a,1,2)),flip(a)]. 7449 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(7432(a,1),5592(a,1,1))]. 7450 (K(x,y) * z) * x = K(x,y) * (z * x). [para(7432(a,1),7209(a,1,1)),flip(a)]. 7451 K(x,R(y,z,x)) = K(x,y). [hyper(255,a,6382,a(flip),b,7442,a(flip)),flip(a)]. 7452 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(255,a,6374,a(flip),b,7442,a(flip)),flip(a)]. 7455 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(7442(a,1),5868(a,1,1)),flip(a)]. 7456 T(x,R(y,z,x)) = x * K(x,y). [para(7451(a,1),5252(a,2,2))]. 7457 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(6382(a,1),7451(a,1,2))]. 7460 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(129(a,1),7423(a,1,3)),flip(a)]. 7464 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(7417(a,1),7346(a,1,1)),flip(a)]. 7465 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(7421(a,1),122(a,1,1)),flip(a)]. 7466 T(x,L(y,z,y)) = T(x,y). [hyper(255,a,5197,a,b,7433,a)]. 7467 T(x,L(y,z,y)) = x * K(x,y). [hyper(255,a,6673,a(flip),b,7433,a)]. 7468 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(6157,a,7466,a),flip(a)]. 7471 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(7466(a,1),127(a,1,2))]. 7473 T(x,T(y / z,y)) = T(x,z \ y). [para(4595(a,1),7466(a,1,2))]. 7474 T(x,R(y,z,y)) = T(x,y). [para(4816(a,1),7466(a,1,2)),flip(a)]. 7475 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(6157,a,7474,a),flip(a)]. 7476 T(x / y,R(y,z,y)) = y \ x. [hyper(255,a,129,a(flip),b,7474,a)]. 7477 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(7474(a,1),127(a,1,2))]. 7479 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4642(a,1),7474(a,1,2))]. 7480 T(x,(y * z) / y) = T(x,y / (y / z)). [para(4824(a,1),7474(a,1,2))]. 7481 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(80,a,7445,a(flip),b,7313,a),flip(a)]. 7482 K(x,R(y,z,y)) = K(x,y). [hyper(255,a,5394,a(flip),b,7446,a)]. 7483 K(x,R(y,z,y)) != u | K(x,y) = u. [para(7446(a,2),5395(a,1))]. 7484 R(K(x,y),z,y) = K(x,y). [hyper(255,a,6396,a(flip),b,7482,a(flip)),flip(a)]. 7485 K(x,T(y,y * z)) = K(x,T(y,z)). [para(4578(a,1),7482(a,1,2)),flip(a)]. 7486 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4642(a,1),7482(a,1,2))]. 7487 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(7482(a,1),5986(a,1,2)),flip(a)]. 7488 (K(x,y) * z) * y = K(x,y) * (z * y). [para(7484(a,1),122(a,1,1)),flip(a)]. 7489 T(x,R(y,z,x)) = T(x,y). [hyper(255,a,5252,a,b,7456,a)]. 7496 T(x,(y * x) / z) = T(x,y / (z / x)). [para(474(a,1),7489(a,1,2))]. 7497 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(682(a,1),7489(a,1,2))]. 7502 K(x,L(y,z,y)) = K(x,y). [hyper(5323,a,7467,a)]. 7503 L(K(x,y),z,y) = K(x,y). [hyper(7017,a,7502,a)]. 7504 K(x,T(y / z,y)) = K(x,z \ y). [para(4595(a,1),7502(a,1,2))]. 7505 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(7304,a,7503,a)]. 7506 K(L(x,y,z),z) = K(x,z). [hyper(255,a,7046,a(flip),b,7503,a(flip)),flip(a)]. 7507 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(255,a,7032,a(flip),b,7503,a(flip))]. 7509 (x * y) * K(z,x) = x * (y * K(z,x)). [para(7503(a,1),112(a,1,2))]. 7513 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(50(a,1),7506(a,1,1))]. 7514 T(x * K(y,x),L(y,z,x)) = x. [para(7506(a,1),5216(a,1,1,2))]. 7515 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(7131(a,1),7506(a,1,1))]. 7516 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(7476(a,1),127(a,1,2))]. 7517 T(x,L(y,z,x)) = T(x,y). [para(7514(a,1),5295(a,1,1)),flip(a)]. 7518 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(241(a,1),7517(a,1,2))]. 7519 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(439(a,1),7517(a,1,2)),flip(a)]. 7520 K((x \ y) \ y,z) = K(T(x,y),z). [para(145(a,1),7431(a,1,1,1)),flip(a)]. 7521 L(K(x,x * (y \ z)),y \ z,y) != u | K(x,(y * (x \ 1)) \ z) = u. [para(7436(a,1),7305(a,1,1))]. 7522 K(T(x,y),z) = T(K(x,z),y). [hyper(255,a,6790,a(flip),b,7443,a(flip))]. 7523 K(T(x,y),y / z) = K(x,z \ y). [hyper(255,a,6599,a(flip),b,7522,a)]. 7524 K(T(x,K(y,z)),y) = K(x,y). [hyper(255,a,2072,a(flip),b,7522,a)]. 7525 x * K(T(y,x),z) = K(y,z) * x. [para(7522(a,2),127(a,1,2))]. 7526 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(7522(a,1),5263(a,2,1)),flip(a)]. 7527 (K(x,y) * z) * K(T(y,z),x) = z. [para(7522(a,2),6750(a,1,2))]. 7528 K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). [para(7524(a,1),5263(a,2,1)),flip(a)]. 7529 T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x). [para(7524(a,1),5707(a,1,2))]. 7530 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(70(a,1),7473(a,1,2,1)),flip(a)]. 7531 T(x,y \ T(x,z)) != u | T(x,T(x,z) / y) = u. [para(7473(a,1),5643(a,1))]. 7534 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(4642(a,1),7483(a,1,2))]. 7535 K(x,T(y,L(y,z,u) * (y \ w))) = K(x,T(y,L(y,z,u) * w)). [para(1421(a,1),7485(a,1,2,2)),flip(a)]. 7536 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(1990(a,1),7485(a,1,2)),flip(a)]. 7537 K(x,T(y,z * y)) = K(x,T(y,z)). [para(4563(a,2),7485(a,1,2))]. 7539 K(x,T(y,z)) = T(K(x,y),z). [hyper(255,a,6953,a(flip),b,7486,a(flip))]. 7540 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(128(a,1),7486(a,1,2))]. 7541 K(x,T(y * z,y \ 1)) = K(x,T(y * z,z)). [para(4410(a,1),7486(a,1,2))]. 7542 K(T(x,y),z) = K(x,T(z,y)). [hyper(255,a,7522,a,b,7539,a),flip(a)]. 7543 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(255,a,7004,a,b,7539,a),flip(a)]. 7544 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(255,a,6757,a,b,7539,a),flip(a)]. 7545 (K(x,y) * z) \ z = K(y,T(x,z)). [hyper(255,a,6682,a,b,7539,a),flip(a)]. 7546 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [hyper(255,a,6400,a,b,7539,a),flip(a)]. 7547 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(255,a,6388,a,b,7539,a),flip(a)]. 7548 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(255,a,6096,a,b,7539,a),flip(a)]. 7549 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(255,a,6094,a,b,7539,a),flip(a)]. 7550 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). [hyper(255,a,5971,a,b,7539,a),flip(a)]. 7551 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(255,a,5965,a,b,7539,a),flip(a)]. 7552 K(x / y,T(z,x)) = K(y \ x,z). [hyper(255,a,6755,a(flip),b,7539,a)]. 7553 K(x,T(y,K(x,z))) = K(x,y). [hyper(255,a,6106,a(flip),b,7539,a)]. 7554 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(255,a,3341,a(flip),b,7539,a)]. 7555 K(x,T(y,K(z,x))) = K(x,y). [hyper(255,a,2074,a(flip),b,7539,a)]. 7556 T(K(x * y,x),y) = K(x * y,x). [hyper(255,a,5587,a(flip),b,7539,a(flip))]. 7557 T(T(K(x,y),z),u) = T(K(x,T(y,u)),z). [para(7539(a,2),43(a,1,1)),flip(a)]. 7558 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(43(a,1),7539(a,1,2))]. 7559 x * K(y,T(z,x)) = K(y,z) * x. [para(7539(a,2),127(a,1,2))]. 7561 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7539(a,2),565(a,1,2,2))]. 7562 L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). [para(7539(a,2),638(a,1,1))]. 7563 T(x,K(y,T(z,x))) = T(x,K(y,z)). [para(7539(a,2),4446(a,1,2))]. 7564 x * T(K(x,y),z) = T(x,T(y,z)). [para(7539(a,1),5252(a,2,2)),flip(a)]. 7565 T(x,K(y,T(z,x))) != u | T(x,K(y,z)) = u. [para(7539(a,2),5718(a,1,2))]. 7566 K(x,y) * (K(z,u) * x) = T(x,y) * K(z,T(u,x)). [para(7539(a,2),5538(a,2,2))]. 7567 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7539(a,2),6090(a,1,2))]. 7568 K(x,T(y,K(z,u))) * K(u,z) = K(u,z) * K(x,y). [para(7539(a,2),6102(a,1,1))]. 7569 K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). [para(7539(a,2),6048(a,1,1))]. 7570 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7539(a,2),6098(a,2,1))]. 7571 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7539(a,2),6247(a,2,2))]. 7572 (K(x,y) * z) * K(y,T(x,z)) = z. [para(7539(a,2),6750(a,1,2))]. 7573 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(7539(a,2),6900(a,1))]. 7574 K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). [para(7007(a,1),7539(a,2,1))]. 7575 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(5624,a,7542,a)]. 7576 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(255,a,5139,a(flip),b,7542,a)]. 7577 K(x,T(y,z) \ T(x,z)) = K(x,T(y \ x,z)). [hyper(255,a,7191,a,b,7542,a(flip)),flip(a)]. 7578 (x * K(y,T(z,u))) \ x = K(z,T(y,u)). [hyper(255,a,6670,a,b,7542,a(flip)),flip(a)]. 7579 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(255,a,6052,a,b,7542,a(flip)),flip(a)]. 7580 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(255,a,6790,a(flip),b,7542,a(flip))]. 7581 T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). [hyper(80,a,7542,a(flip),b,5184,a(flip)),flip(a)]. 7582 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(43(a,1),7542(a,2,2))]. 7583 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(47(a,2),7542(a,1,1))]. 7584 K(x / y,T(z,y)) = K(y \ x,z). [para(129(a,1),7542(a,1,1)),flip(a)]. 7585 K(T(x,y),z / y) = K(x,y \ z). [para(129(a,1),7542(a,2,2))]. 7586 K((x * y) / x,T(z,x)) = K(y,z). [para(166(a,1),7542(a,1,1)),flip(a)]. 7587 K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). [para(138(a,1),7542(a,1,1)),flip(a)]. 7588 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(138(a,1),7542(a,2,2))]. 7589 K(T(x,L(y,z,u)),y) = K(x,y). [para(279(a,1),7542(a,2,2))]. 7590 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(402(a,1),7542(a,1,1)),flip(a)]. 7591 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(277(a,1),7542(a,1,1))]. 7592 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(773(a,1),7542(a,1,1)),flip(a)]. 7593 T(x,K(y,T(x,z))) = x. [para(7542(a,1),3140(a,1,2))]. 7594 x / K(y,T(x,z)) = T(x,T(y,z)). [para(7542(a,1),5197(a,2,2)),flip(a)]. 7595 T(x,y) * K(x,T(z,y)) = T(T(x,y),z). [para(7542(a,1),5252(a,2,2)),flip(a)]. 7597 K(x,T(y,z)) \ u = K(y,T(x,z)) * u. [para(7542(a,1),5600(a,1,1))]. 7598 K(x,T(y,K(z,z \ x))) = K(x,y). [para(5661(a,1),7542(a,1,1)),flip(a)]. 7599 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(7542(a,1),5560(a,1,1))]. 7600 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7542(a,1),5623(a,1,1))]. 7601 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(7542(a,1),5337(a,1,1))]. 7603 a(x,y,K(z,T(y,u))) = 1. [para(7542(a,1),6579(a,1,3))]. 7604 x / K(y,T(z,u)) = x * K(z,T(y,u)). [para(7542(a,1),6673(a,1,2))]. 7605 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(7542(a,1),6784(a,1,1,2))]. 7606 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7542(a,1),6674(a,1,2))]. 7607 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7542(a,1),6677(a,1,2))]. 7609 x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). [para(7542(a,1),6741(a,1,2,2))]. 7611 K(x,T(y,K(z,L(x,u,w)))) = K(x,y). [para(7015(a,1),7542(a,1,1)),flip(a)]. 7612 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [para(7542(a,1),7236(a,1,2)),flip(a)]. 7613 K(x,T(y,z)) * y = y * K(x,T(y,z)). [para(7593(a,1),127(a,1,2))]. 7614 T(x / y,K(z,y \ x)) = x / y. [para(129(a,1),7593(a,1,2,2))]. 7615 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(38,a,7603,a)]. 7616 K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). [para(47(a,2),7553(a,1,2))]. 7617 K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)). [para(7522(a,2),7553(a,1,2))]. 7618 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(129(a,1),7554(a,1,2)),flip(a)]. 7619 K(x,R(T(y / z,y * u),z,u)) = K(x,(z * u) \ (y * u)). [para(475(a,1),7504(a,1,2))]. 7620 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(641(a,1),7520(a,1,1,1)),flip(a)]. 7621 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(6680(a,1),7520(a,1,1)),flip(a)]. 7622 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7520(a,1),7030(a,1,1)),flip(a)]. 7623 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(773(a,1),7523(a,1,1))]. 7624 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [para(7523(a,1),5263(a,2,1)),flip(a)]. 7625 x * K(T(y,x),z) = K(z,y) \ x. [hyper(255,a,5600,a,b,7525,a)]. 7626 K(x / y,z) * y = y * K(y \ x,z). [para(129(a,1),7525(a,1,2,1)),flip(a)]. 7627 K((x * y) / x,z) * x = x * K(y,z). [para(166(a,1),7525(a,1,2,1)),flip(a)]. 7628 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(7525(a,1),7081(a,1,1,2))]. 7629 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. [para(7525(a,1),7083(a,1,1,2))]. 7631 T(x,(y \ (z \ y)) \ 1) = T(x,T(z,y)). [hyper(6930,a,7530,a)]. 7632 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(6157,a,7530,a),flip(a)]. 7633 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7540(a,1),6986(a,1,1)),flip(a)]. 7635 L(x,y / z,K(z \ y,u)) = x. [para(7552(a,1),4398(a,1,3))]. 7638 K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). [para(5582(a,1),7552(a,1,2))]. 7641 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7552(a,1),7205(a,1,1)),flip(a)]. 7643 L(x,(y * z) / y,K(z,u)) = x. [para(18(a,1),7635(a,1,3,1))]. 7645 K(x,y) * (((z * x) / z) * L(u,T(K(x,y),(z * x) / z),(z * x) / z)) = ((z * x) / z) * (T(K(x,y),(z * x) / z) * u). [para(7643(a,1),1006(a,1,2,2)),flip(a)]. 7646 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(6895,a,7559,a)]. 7647 (x \ y) * K(z,T(x,x \ y)) = T(x,z) \ y. [hyper(255,a,5560,a(flip),b,7559,a)]. 7648 x \ (y * K(z,T(x,y))) = T(x,z) \ y. [hyper(80,a,7559,a,b,5225,a)]. 7649 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(22,a,6121,a(flip),b,7559,a)]. 7650 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(5622,a,7559,a(flip))]. 7651 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7559(a,1),24(a,1))]. 7652 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(45(a,2),7559(a,1,2,2))]. 7653 K(x,y / z) * z = z * K(x,z \ y). [para(129(a,1),7559(a,1,2,2)),flip(a)]. 7654 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(7539(a,2),7559(a,1,2,2))]. 7655 T(x,K(y,z / x)) = T(x,K(y,x \ z)). [para(129(a,1),7563(a,1,2,2)),flip(a)]. 7656 T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). [hyper(5978,a,7564,a)]. 7657 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(7564(a,1),6551(a,1,2,2))]. 7658 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7575(a,1),5384(a,1))]. 7659 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(255,a,7539,a,b,7580,a)]. 7660 T(K(x,y),x * z) = K(x,T(y,z)). [para(18(a,1),7580(a,1,2,2)),flip(a)]. 7661 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(138(a,1),7584(a,1,2))]. 7662 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(7584(a,1),5263(a,2,1)),flip(a)]. 7663 K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. [para(7584(a,1),5264(a,1,1))]. 7665 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(773(a,1),7585(a,1,1))]. 7666 (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. [para(7585(a,1),6795(a,1,2))]. 7667 L(x,K(y,z),(u * y) / u) = x. [para(7586(a,1),4723(a,1,2))]. 7668 L(x,T(T(y,z),u),K(w,y)) = x. [para(7586(a,1),6395(a,1,3))]. 7669 a(x,T(y,z),K(u,y)) = 1. [para(7586(a,1),6579(a,1,3))]. 7670 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7586(a,1),7092(a,1,2))]. 7671 L(K(x,y),T(y,z),u) = K(x,y). [hyper(38,a,7669,a)]. 7674 (K(x,y) * T(T(y,z),u)) * w = K(x,y) * (T(T(y,z),u) * w). [para(7668(a,1),112(a,1,2))]. 7676 (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). [hyper(255,a,5727,a,b,7671,a(flip)),flip(a)]. 7677 (x * T(y,z)) * L(K(u,y),w,v5) = x * (T(y,z) * L(K(u,y),w,v5)). [para(7671(a,1),429(a,1,2,1))]. 7678 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(7590(a,1),5263(a,2,1))]. 7679 T(x,T(y,z) \ T(x,z)) = T(x,T(y \ x,z)). [hyper(7190,a,7594,a)]. 7680 K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). [para(6686(a,1),7598(a,1,2))]. 7681 K(x / y,z) \ y = y * K(z,y \ x). [para(7585(a,1),7625(a,1,2)),flip(a)]. 7683 K(x,T(y,x * z)) = K(x,T(y,z)). [para(18(a,1),7659(a,1,2,2)),flip(a)]. 7684 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(47(a,2),7659(a,1,2))]. 7685 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(7659(a,1),5252(a,2,2))]. 7686 K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)). [para(6854(a,1),7659(a,1,2))]. 7687 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(7659(a,1),7208(a,1,1))]. 7688 (x * y) * K(x,T(z,y)) = K(x,z) * (x * y). [para(7660(a,1),127(a,1,2))]. 7689 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(7670(a,1),488(a,1,1))]. 7690 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(129(a,1),7683(a,1,2)),flip(a)]. 7691 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [para(7418(a,1),379(a,1,1)),flip(a)]. 7693 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(685(a,1),7457(a,1,2,2))]. 7695 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(255,a,7032,a(flip),b,7615,a(flip))]. 7696 K(x \ 1,x) * K(y,T(x,z)) = (x \ 1) * (x * K(y,T(x,z))). [para(7615(a,1),433(a,1,2))]. 7697 K(x,T(y,z)) * K(y \ 1,y) = (y \ 1) * (y * K(x,T(y,z))). [para(7615(a,1),2278(a,1,1))]. 7698 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(7539(a,1),7658(a,1))]. 7699 K(T(x,x \ y),z) != u | K(T(x,y),z) = u. [para(6790(a,2),7698(a,1))]. 7700 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(255,a,7249,a,b,7411,a(flip)),flip(a)]. 7701 K(x,y \ (z * x)) = K(x,y \ (x * z)). [hyper(255,a,7247,a(flip),b,7411,a(flip)),flip(a)]. 7702 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(19(a,1),7411(a,2,2,2))]. 7703 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(255,a,6973,a,b,7424,a(flip)),flip(a)]. 7704 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(255,a,6826,a,b,7424,a(flip)),flip(a)]. 7705 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(190(a,1),7424(a,1,2,1)),flip(a)]. 7706 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(7424(a,1),6906(a,2,2))]. 7707 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). [para(7424(a,1),6989(a,1,1))]. 7708 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(3327,a,7434,a)]. 7709 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(80,a,7434,a(flip),b,5550,a),flip(a)]. 7710 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(255,a,47,a,b,7444,a)]. 7711 L(x,y,K(x,z)) = x. [hyper(422,a,7450,a)]. 7712 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(255,a,5538,a(flip),b,7450,a)]. 7714 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(172,a,7450,a,b,5850,a)]. 7715 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). [para(7450(a,1),162(a,2,1)),flip(a)]. 7716 (K(x,y) * z) / x = K(x,y) * (z / x). [para(7711(a,1),483(a,1,2))]. 7717 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(7711(a,1),428(a,1,2,1))]. 7718 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(7711(a,1),429(a,1,2,1))]. 7721 L(x,y,R(K(x,z),u,w)) = x. [para(6361(a,1),7711(a,1,3))]. 7722 L(K(x,y),z,K(y,u)) = K(x,y). [para(7711(a,1),7007(a,1,2)),flip(a)]. 7723 L(K(x,y),z,K(x,u)) = K(x,y). [para(7711(a,1),7044(a,1,1)),flip(a)]. 7725 L(x,y,K(R(x,z,u),w)) = x. [para(7208(a,1),7721(a,1,3))]. 7726 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = (K(R(x,y,z),u) * (w * x)) / (w * x). [para(7725(a,1),426(a,1,2,2)),flip(a)]. 7727 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [hyper(255,a,7037,a(flip),b,7722,a(flip))]. 7728 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(255,a,7009,a(flip),b,7723,a(flip)),flip(a)]. 7729 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(7723(a,1),45(a,2,1))]. 7730 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(5629(a,1),7728(a,1,2)),flip(a)]. 7731 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(255,a,4560,a(flip),b,7464,a)]. 7734 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(7464(a,1),1319(a,1,1))]. 7735 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [para(5216(a,1),7464(a,1,1)),flip(a)]. 7736 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(7464(a,1),7482(a,1,2))]. 7737 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(47(a,1),7736(a,1,2))]. 7738 K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)). [para(4578(a,1),7737(a,1,2,1)),flip(a)]. 7739 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(7468(a,1),127(a,1,2)),flip(a)]. 7741 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(129(a,1),7471(a,1,2))]. 7743 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(7475(a,1),127(a,1,2)),flip(a)]. 7745 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(6201,a,7480,a),flip(a)]. 7746 L(x,y,K(z,x)) = x. [hyper(422,a,7488,a)]. 7748 K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). [para(7488(a,1),5539(a,1,2,2))]. 7750 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(7746(a,1),50(a,1,1)),flip(a)]. 7751 L(K(x,y),z,K(u,y)) = K(x,y). [para(7746(a,1),7007(a,1,2)),flip(a)]. 7752 L(K(x,y),z,K(u,x)) = K(x,y). [para(7746(a,1),7044(a,1,1)),flip(a)]. 7753 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(255,a,7046,a(flip),b,7751,a(flip)),flip(a)]. 7754 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [para(7751(a,1),112(a,1,2))]. 7755 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(255,a,7009,a(flip),b,7752,a(flip)),flip(a)]. 7756 L(R(K(x,y),z,u),w,K(v5,x)) = R(K(x,y),z,u). [para(7752(a,1),49(a,1,1)),flip(a)]. 7757 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(7753(a,1),5292(a,2,1,1))]. 7758 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(50(a,1),7755(a,1,2))]. 7759 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(255,a,6970,a,b,7505,a(flip)),flip(a)]. 7760 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(255,a,6966,a,b,7505,a(flip)),flip(a)]. 7761 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(19(a,1),7505(a,1,1,1)),flip(a)]. 7762 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(7505(a,1),6773(a,1,2))]. 7763 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(7507(a,1),5991(a,1,1,1,2))]. 7764 R(x,y,K(z,x)) = x. [hyper(454,a,7509,a)]. 7768 R(R(x,y,z),u,K(w,x)) = R(x,y,z). [para(7764(a,1),51(a,1,1)),flip(a)]. 7770 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(7764(a,1),459(a,1,1,1)),flip(a)]. 7771 (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). [para(7764(a,1),460(a,1,1,1)),flip(a)]. 7772 R(x,y,K(z,T(x,u))) = x. [para(7542(a,1),7764(a,1,3))]. 7773 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(7772(a,1),460(a,1,1,1)),flip(a)]. 7774 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(7772(a,1),7209(a,1,1,1)),flip(a)]. 7775 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = ((x * K(y,z)) * R(z,u,w)) / K(y,z). [para(7768(a,1),778(a,1,1,2)),flip(a)]. 7776 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(127(a,1),7518(a,1,2,1)),flip(a)]. 7777 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(6850(a,1),7536(a,1,2)),flip(a)]. 7778 K(x,T(y \ 1,z)) = K(x,(y * z) \ z). [hyper(6896,a,7550,a),flip(a)]. 7780 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(279(a,1),7551(a,1,1,1)),flip(a)]. 7781 K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). [hyper(255,a,7539,a,b,7557,a),flip(a)]. 7782 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(6955,a,7567,a)]. 7783 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(255,a,6301,a,b,7782,a(flip)),flip(a)]. 7784 K(x \ y,K(x,z)) = K(y,K(x,z)). [para(19(a,1),7782(a,1,1)),flip(a)]. 7785 R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). [para(7581(a,1),2100(a,1,2))]. 7786 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(47(a,2),7588(a,1,1))]. 7787 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(5933,a,7595,a)]. 7788 K(x,y) \ T(T(x,y),z) = T(x,T(z,y)). [hyper(80,a,7595,a(flip),b,5558,a)]. 7790 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(7466(a,1),7646(a,1,2,1))]. 7791 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(5785(a,1),7653(a,1,1)),flip(a)]. 7792 T(x,T(y \ 1,z)) = T(x,(y * z) \ z). [hyper(6901,a,7656,a),flip(a)]. 7793 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(255,a,5263,a,b,7678,a)]. 7794 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(5216(a,1),7793(a,1,2,2,1))]. 7795 T(x / y,z) \ x = y * K(z,y \ x). [hyper(255,a,5667,a,b,7681,a(flip)),flip(a)]. 7797 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(255,a,5252,a,b,7685,a)]. 7799 T(x,T(y,x \ y)) = T(x,y). [para(126(a,1),7797(a,2,2))]. 7800 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(7797(a,1),5253(a,1,2,1))]. 7801 T(x,T(x * y,y)) = T(x,x * y). [para(18(a,1),7799(a,1,2,2))]. 7802 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(19(a,1),7701(a,2,2,2))]. 7803 L(K(x,x \ (y \ z)),y \ z,y) = K(x,y \ (x \ z)). [hyper(7064,a,7703,a)]. 7804 L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). [hyper(7063,a,7703,a)]. 7805 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [hyper(255,a,6971,a,b,7703,a(flip)),flip(a)]. 7806 K(x,y \ (x \ (y * (x * z)))) = K(x,L(z,x,y)). [para(33(a,2),7703(a,1,2)),flip(a)]. 7807 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(114(a,2),7703(a,1,2))]. 7808 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(179(a,1),7703(a,1,2)),flip(a)]. 7809 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(6369(a,1),7708(a,2,1))]. 7810 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(7708(a,1),6307(a,1,1)),flip(a)]. 7811 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(80,a,7710,a(flip),b,5548,a)]. 7812 (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). [para(5221(a,2),7712(a,1,1))]. 7813 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [para(5536(a,1),7712(a,1,1)),flip(a)]. 7814 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(6559,a,7714,a),flip(a)]. 7815 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6558,a,7714,a)]. 7816 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(255,a,6055,a(flip),b,7714,a)]. 7817 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(19(a,1),7714(a,1,1)),flip(a)]. 7818 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(45(a,2),7714(a,2,2))]. 7819 K(x \ (y \ (z * y)),y) = K(x \ z,y). [hyper(255,a,7240,a(flip),b,7759,a(flip))]. 7820 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(7759(a,1),5991(a,1,1,1,2))]. 7822 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(7539(a,2),7787(a,1,2,2))]. 7823 L(T(x,T(y,z)),K(x,z),z * x) = (x * z) \ ((T(x,y) * z) * x). [para(7788(a,1),4813(a,1,1))]. 7824 x / T(y \ x,z) = T(x / y,z) \ x. [hyper(255,a,6777,a,b,7795,a),flip(a)]. 7825 x / (y * K(z,y \ x)) = T(x / y,z). [para(7795(a,1),70(a,1,2))]. 7826 T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). [para(7802(a,1),5252(a,2,2))]. 7827 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(18(a,1),7815(a,1,2,1)),flip(a)]. 7828 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(7815(a,1),6560(a,1,1)),flip(a)]. 7829 K(x \ 1,y) * (x \ K(y,z)) = T(x \ K(y,z),y). [hyper(255,a,5525,a,b,7817,a(flip)),flip(a)]. 7831 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = T(u / z,x) * z. [para(7817(a,1),1719(a,1,1)),flip(a)]. 7832 K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. [para(7817(a,1),6827(a,1,1,2)),flip(a)]. 7833 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(255,a,7761,a(flip),b,7819,a(flip))]. 7837 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(7824(a,1),73(a,1,1))]. 7838 T(x / (x / y),z) \ x = x / T(y,z). [para(73(a,1),7824(a,1,2,1)),flip(a)]. 7839 (x * y) / (x * K(z,y)) = T((x * y) / x,z). [para(18(a,1),7825(a,1,2,2,2))]. 7841 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5726(a,1),7827(a,1,1)),flip(a)]. 7842 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(6716,a,7828,a)]. 7843 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(255,a,6629,a,b,7828,a),flip(a)]. 7844 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(80,a,7828,a,b,5220,a)]. 7846 K(x \ ((y \ z) * y),y) = K(x \ z,y). [hyper(255,a,7761,a(flip),b,7833,a(flip))]. 7847 K(x \ (y * z),z) = K(x \ (z * y),z). [hyper(255,a,7507,a(flip),b,7833,a(flip))]. 7849 K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). [para(7837(a,1),7540(a,1,2)),flip(a)]. 7851 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(5885(a,1),7838(a,1,1,1))]. 7852 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(172,a,7842,a(flip),b,5535,a)]. 7854 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [para(7842(a,2),6663(a,1,1))]. 7855 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(5829,a,7852,a)]. 7856 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(255,a,7564,a,b,7852,a)]. 7857 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [para(129(a,1),7852(a,1,1)),flip(a)]. 7858 T((x * y) / x,T(x,z)) = T(y,K(x,z)). [para(166(a,1),7852(a,1,1)),flip(a)]. 7859 T(x,K(y,z)) * y = y * T(x,T(y,z)). [para(7852(a,1),182(a,1,2)),flip(a)]. 7860 T(x,T(y,y \ 1)) != z | T(x,y) = z. [para(7852(a,1),6155(a,1)),flip(b)]. 7861 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(7852(a,1),7555(a,1,2))]. 7862 K(x,T(y,T(z,L(x,u,w)))) = K(x,T(y,z)). [para(7852(a,1),7611(a,1,2))]. 7863 T(1 / x,T(y,x)) = T(1 / x,y). [para(2337(a,1),7855(a,1,1)),flip(a)]. 7864 T(x \ 1,T(y,x)) = T(x \ 1,y). [para(2341(a,1),7855(a,1,1)),flip(a)]. 7865 L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x). [para(7855(a,1),4672(a,1,2)),flip(a)]. 7866 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(6105(a,1),7855(a,1,1)),flip(a)]. 7867 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(129(a,1),7861(a,1,2,2)),flip(a)]. 7868 T(1 / (x \ y),T(x,y)) = T(1 / (x \ y),x). [hyper(255,a,7479,a(flip),b,7863,a(flip)),flip(a)]. 7869 T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). [hyper(255,a,7479,a(flip),b,7864,a(flip)),flip(a)]. 7870 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(255,a,7479,a(flip),b,7866,a(flip)),flip(a)]. 7871 T(x,(y \ 1) \ 1) != z | T(x,y) = z. [para(128(a,1),7860(a,1,2))]. 7875 T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). [para(5979(a,2),7856(a,2,2))]. 7876 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(255,a,6909,a,b,7857,a(flip)),flip(a)]. 7877 T(x * y,K(x,z)) = x * T(y,K(x,z)). [para(7858(a,1),6908(a,1,2)),flip(a)]. 7878 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(255,a,6907,a,b,7859,a),flip(a)]. 7879 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(255,a,7659,a(flip),b,7867,a)]. 7880 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). [para(5423(a,1),7867(a,1,2,2)),flip(a)]. 7881 K(x,T(y,z * x)) = K(x,T(y,z)). [para(20(a,1),7879(a,1,2,2)),flip(a)]. 7882 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(141(a,1),7879(a,1,2,2)),flip(a)]. 7883 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4659(a,1),7879(a,1,2))]. 7884 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(4660(a,1),7879(a,1,2))]. 7885 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(255,a,7427,a,b,7881,a),flip(a)]. 7886 T(K(x,y),z * x) = K(x,T(y,z)). [hyper(255,a,7539,a(flip),b,7881,a(flip)),flip(a)]. 7887 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(7881(a,1),7559(a,1,2))]. 7888 T(K(x,y),z * x) = T(K(x,y),z). [hyper(255,a,7539,a(flip),b,7886,a)]. 7889 x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). [para(383(a,1),7876(a,2,1))]. 7890 T(x / y,K(y,x)) = x / y. [hyper(5038,a,7877,a),flip(a)]. 7891 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. [para(603(a,2),7534(a,1))]. 7895 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(6953(a,1),7534(a,1))]. 7899 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7522(a,2),7895(a,1))]. 7900 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(7580(a,2),7895(a,1))]. 7902 T(K(x,y),z * x) != u | K(x,T(y,z)) = u. [para(7888(a,2),7895(a,1))]. 7903 K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u. [para(7191(a,2),7899(a,1))]. 7906 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [hyper(255,a,7228,a(flip),b,7729,a(flip)),flip(a)]. 7908 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(5608(a,1),7906(a,1,2)),flip(a)]. 7910 T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5). [para(6205(a,1),7908(a,1,2,1))]. 7911 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(255,a,5292,a,b,7757,a)]. 7912 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(114(a,1),7911(a,1,2))]. 7913 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(129(a,1),7862(a,1,2,2)),flip(a)]. 7914 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(7539(a,2),7902(a,1))]. 7915 K(x * y,T(y,z * (y * x))) != u | K(y * x,T(y,z)) = u. [para(6408(a,2),7914(a,1))]. 7916 T(x / y,z) * T(y,K(x / y,z)) = x * K(x / y,z). [hyper(255,a,98,a(flip),b,7414,a)]. 7917 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(7416(a,1),6724(a,1,2))]. 7918 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). [para(7429(a,1),6235(a,2,2,2))]. 7919 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(7890(a,2),7460(a,1,1))]. 7920 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(255,a,6903,a,b,7487,a),flip(a)]. 7921 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(255,a,3146,a(flip),b,7487,a)]. 7922 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(6209(a,1),7487(a,2,2))]. 7923 K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). [hyper(255,a,7855,a(flip),b,7528,a)]. 7924 K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). [hyper(5854,a,7923,a)]. 7925 K(R((x * y) / x,z,u),T(w,y * x)) = K(R(L(y,x,y),z,u),w). [para(618(a,1),7583(a,1,1,1)),flip(a)]. 7926 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1956(a,1),7583(a,1,1)),flip(a)]. 7927 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(3140(a,1),7583(a,2,2))]. 7928 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(6686(a,1),7616(a,1,2,1))]. 7929 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(4137(a,1),7624(a,1,2))]. 7931 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6907(a,2),7657(a,1,2))]. 7932 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(6993(a,1),7662(a,1,1))]. 7933 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [hyper(255,a,6194,a(flip),b,7686,a(flip))]. 7934 (x * y) * K(x,K(z,T(u,y))) = K(x,K(z,u)) * (x * y). [para(7539(a,2),7688(a,1,2,2))]. 7935 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(255,a,7424,a(flip),b,7690,a)]. 7936 (x / R(y,z,y)) * y != y * u | R(y,z,y) \ x = u. [para(7743(a,2),24(a,1))]. 7937 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(7110,a,7760,a)]. 7938 K(x \ (y \ 1),y) = K(y \ (x \ 1),y). [hyper(6007,a,7760,a),flip(a)]. 7939 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [hyper(255,a,7761,a(flip),b,7938,a(flip))]. 7940 T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). [para(7939(a,1),5291(a,2,2,2))]. 7941 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(7002(a,1),7777(a,1,2))]. 7942 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(22,a,7559,a,b,7791,a),flip(a)]. 7943 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(255,a,7778,a(flip),b,7942,a(flip)),flip(a)]. 7944 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [para(73(a,1),7942(a,2,2,2))]. 7945 x * K(x,y \ (z \ y)) = T(x,(z * y) \ y). [para(7943(a,1),5252(a,2,2)),flip(a)]. 7946 T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). [hyper(172,a,7812,a,b,1078,a)]. 7948 x * K(T(y,z) \ x,y) = (y \ x) * y. [hyper(6647,a,7813,a)]. 7949 x / T(y,T(y,z) \ x) = y \ x. [hyper(6746,a,7948,a)]. 7950 T(x,T(x,y) \ z) = (x \ z) \ z. [para(7949(a,1),73(a,1,1)),flip(a)]. 7951 T(x,T(x,y) \ z) = T(x,x \ z). [hyper(255,a,128,a,b,7950,a)]. 7954 T(x,x \ (T(x,y) * z)) = T(x,z). [para(18(a,1),7951(a,1,2)),flip(a)]. 7955 T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ z) = T(T(x,y) / (x / y),(x / (x / y)) \ z). [para(4134(a,1),7951(a,1,2,1)),flip(a)]. 7957 T(x,K(x,y) * z) = T(x,z). [para(5534(a,1),7954(a,1,2))]. 7958 T(x,K(x,y) * L(K(z,x),u,w)) = x. [hyper(255,a,3223,a(flip),b,7957,a)]. 7959 T(x,K(y,x) * z) = T(x,z). [para(5608(a,1),7957(a,1,2)),flip(a)]. 7960 T(x,T(y,x) \ z) = T(x,y \ z). [para(5560(a,1),7957(a,1,2))]. 7961 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7957(a,1),5819(a,1,1))]. 7963 T(x,(y / x) \ z) = T(x,(x \ y) \ z). [para(6053(a,1),7957(a,1,2)),flip(a)]. 7965 K(x,T(y,K(x,z) * u)) = K(T(x,u),y). [para(7957(a,1),7542(a,1,1)),flip(a)]. 7966 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7959(a,1),4783(a,1,3))]. 7967 T(x,y * K(z,x)) = T(x,y). [para(7627(a,1),7959(a,1,2))]. 7968 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(7967(a,1),5253(a,1,2,1)),flip(a)]. 7970 T(x,y * K(x,z)) = T(x,y). [para(6672(a,1),7967(a,1,2)),flip(a)]. 7971 T(x,y / (z / x)) = T(x,y / (x \ z)). [para(6878(a,1),7967(a,1,2))]. 7974 K(x,y * K(x,z)) = x \ T(x,y). [hyper(80,a,7970,a(flip),b,5252,a(flip)),flip(a)]. 7975 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(7970(a,1),183(a,1,2,1))]. 7977 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(7970(a,1),4462(a,1,2,1))]. 7978 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(6189(a,1),7970(a,1,2,2))]. 7980 T(x,y * (z * x)) = T(x,y * (x * z)). [para(7053(a,1),7970(a,1,2)),flip(a)]. 7981 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(255,a,7776,a(flip),b,7960,a(flip)),flip(a)]. 7982 K(x,y * K(x,z)) = K(x,y). [hyper(255,a,5186,a,b,7974,a)]. 7983 T(x,K(y,x * K(y,z))) = x. [para(7974(a,2),3151(a,1,2))]. 7984 K(x,y * K(x,z)) != u | K(x,y) = u. [para(7974(a,2),5325(a,1))]. 7986 K(x,y * L(K(x,z),u,w)) = K(x,y). [para(6189(a,1),7982(a,1,2,2))]. 7987 K(x,y * R(K(x,z),u,w)) = K(x,y). [para(6361(a,1),7982(a,1,2,2))]. 7988 K(x,y * K(z,x)) = K(x,y). [para(6672(a,1),7982(a,1,2)),flip(a)]. 7990 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(6886(a,1),7982(a,1,2)),flip(a)]. 7991 K(x,y \ T(z,x)) = K(x,y \ z). [para(6967(a,1),7982(a,1,2)),flip(a)]. 7992 K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). [para(7124(a,1),7982(a,1,2)),flip(a)]. 7993 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7982(a,1),6729(a,1,1)),flip(a)]. 7994 K(x,K(x,y) * z) = K(x,z). [para(7559(a,1),7982(a,1,2))]. 7995 K(x,K(y,x) * z) = K(x,z). [para(7572(a,1),7982(a,1,2)),flip(a)]. 7996 K(x,K(y,x * K(y,z))) = 1. [hyper(41,a,7983,a)]. 7997 K(x * K(y,z),z) = 1 / K(z,x). [para(7988(a,1),5394(a,1,2)),flip(a)]. 7998 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(7988(a,1),5911(a,1,1))]. 7999 K(x,y \ T(y * z,x)) = K(x,z). [para(6018(a,2),7988(a,1,2))]. 8001 K(x,K(x,y) \ z) = K(x,z). [para(7625(a,1),7988(a,1,2))]. 8002 K(x,T(x,y) * z) = K(x,x * z). [para(5272(a,1),7994(a,1,2))]. 8003 K(x,K(y,x) \ z) = K(x,z). [para(5600(a,2),7994(a,1,2))]. 8005 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(6361(a,1),7994(a,1,2,1))]. 8006 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(6205(a,1),7995(a,1,2,1))]. 8007 K(x * K(y,z),z) = K(x,z). [hyper(255,a,5394,a(flip),b,7997,a)]. 8008 K(x * K(y,z),z) != u | K(x,z) = u. [para(7997(a,2),5395(a,1))]. 8009 K(x * T(y,z),z) = K(x * y,z). [para(1562(a,1),8007(a,1,1))]. 8010 R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). [para(8007(a,1),4395(a,1,1))]. 8012 K(x * L(K(y,z),u,w),z) = K(x,z). [para(6475(a,1),8007(a,1,1,2))]. 8013 K(x * T(y,z),y) = K(x * y,y). [para(6633(a,1),8007(a,1,1)),flip(a)]. 8014 K(x * K(y,z),y) = K(x,y). [para(6672(a,1),8007(a,1,1)),flip(a)]. 8015 K(x * K(y,T(z,u)),z) = K(x,z). [para(7542(a,1),8007(a,1,1,2))]. 8016 K(K(x,y) * z,y) = K(z,y). [para(7525(a,1),8007(a,1,1))]. 8017 K(K(x,y) * z,x) = K(z,x). [para(7527(a,1),8007(a,1,1)),flip(a)]. 8018 K(K(x,y) \ z,x) = K(z,x). [para(7625(a,1),8007(a,1,1))]. 8019 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(8014(a,1),5996(a,1,1,1,2)),flip(a)]. 8021 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(7586(a,1),8016(a,1,1,1))]. 8022 K(K(x,y) * z,x) = K(z * K(x,u),x). [hyper(255,a,8014,a,b,8017,a)]. 8025 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6361(a,1),8017(a,1,1,1))]. 8026 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(8017(a,1),6586(a,1,1))]. 8028 K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). [para(7828(a,2),8002(a,1,2))]. 8029 K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). [para(7475(a,1),8009(a,1,1,2)),flip(a)]. 8030 K(x * T(y,z),y) = K(y * x,y). [hyper(255,a,5894,a(flip),b,8013,a)]. 8031 K(T(x,y) * z,x) = K(z * T(x,y),x). [para(104(a,1),8015(a,1,1)),flip(a)]. 8032 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(6020(a,1),8015(a,1,1))]. 8033 K(x * (y / T(x,z)),x) = K(y,x). [para(21(a,1),8030(a,1,1)),flip(a)]. 8034 T(x,y * (z * K(x,u))) = T(x,y * z). [para(112(a,1),7978(a,1,2))]. 8035 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(7046(a,1),7978(a,1,2,2))]. 8037 L(K(x,y),y,z) != u | K(x,y) = u. [para(6577(a,2),7984(a,1))]. 8038 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(6886(a,1),7984(a,1,2))]. 8039 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(7032(a,1),8037(a,1))]. 8040 K(x,y * (z * K(u,x))) = K(x,y * z). [para(7083(a,1),7986(a,1,2)),flip(a)]. 8041 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(7208(a,1),8005(a,1,2,1))]. 8042 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(6382(a,1),8006(a,1,2,1))]. 8044 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1560(a,1),8008(a,1,1))]. 8047 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(7009(a,1),8012(a,1,1,2))]. 8048 K(x * (y * K(z,u)),z) = K(x * y,z). [para(7083(a,1),8012(a,1,1)),flip(a)]. 8049 K((K(x,y) * z) * u,x) = K(z * u,x). [para(122(a,1),8025(a,1,1))]. 8050 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(7208(a,1),8025(a,1,1,1))]. 8051 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(432(a,1),8035(a,1,2))]. 8052 K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6). [para(8035(a,1),5195(a,1,1,1)),flip(a)]. 8053 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(5175(a,1),8041(a,1,2))]. 8054 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5536(a,1),8041(a,1,2)),flip(a)]. 8055 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(5592(a,1),8041(a,1,2))]. 8056 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(7627(a,1),8042(a,1,2))]. 8057 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(263(a,1),8047(a,1,1))]. 8058 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7527(a,1),8047(a,1,1)),flip(a)]. 8059 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(5175(a,1),8050(a,1,1))]. 8060 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(5226(a,1),8050(a,1,1)),flip(a)]. 8061 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(6878(a,1),8056(a,1,2))]. 8062 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(255,a,7519,a(flip),b,7963,a)]. 8063 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [hyper(255,a,7542,a(flip),b,7965,a)]. 8064 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(255,a,7496,a,b,7971,a(flip)),flip(a)]. 8065 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(114(a,2),7981(a,1,2))]. 8066 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(255,a,7452,a,b,7990,a(flip)),flip(a)]. 8067 K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). [para(5608(a,1),7992(a,1,2,1)),flip(a)]. 8068 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(5226(a,1),8021(a,1,1)),flip(a)]. 8069 K(K(x,y) * z,x) != u | K(z,x) = u. [para(8022(a,2),8008(a,1))]. 8070 K(x * y,x) != z | K(y * x,x) = z. [para(5175(a,1),8069(a,1,1))]. 8071 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(8032(a,1),5821(a,1,1,2))]. 8072 K(x / y,z * (y * (x / y))) = K(x / y,z * x). [para(264(a,1),8040(a,1,2,2))]. 8073 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(6718(a,1),8048(a,1,1,2))]. 8074 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(6967(a,1),8048(a,1,1,2)),flip(a)]. 8075 K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). [para(7028(a,1),8048(a,1,1,2))]. 8076 K(x * (K(y,z) * u),y) = K(x * u,y). [para(7559(a,1),8048(a,1,1,2))]. 8077 K(K(x,T(y,z)) * u,z) = K(K(x,y) * u,z). [para(7548(a,1),8049(a,1,1,1))]. 8078 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(2807(a,1),8062(a,1,2,1)),flip(a)]. 8079 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(8076(a,1),5993(a,1,2,1,2)),flip(a)]. 8080 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(8076(a,1),5994(a,1,2,1,2)),flip(a)]. 8081 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(37(a,1),8044(a,1,1,2))]. 8082 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [hyper(255,a,5252,a,b,7826,a)]. 8085 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(18(a,1),8082(a,1,2,2,1))]. 8086 T(x,y \ ((x \ z) * x)) != u | x * K(x,y \ z) = u. [para(8082(a,2),5353(a,1))]. 8087 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(8082(a,1),5195(a,1,1,1)),flip(a)]. 8088 T(x,(y / x) \ z) = T(x,y \ (z * x)). [hyper(255,a,8062,a,b,8085,a),flip(a)]. 8089 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(255,a,7519,a,b,8085,a),flip(a)]. 8090 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(8085(a,1),5253(a,1,2,1))]. 8091 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(8088(a,1),5195(a,1,1,1))]. 8092 (x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x. [hyper(255,a,5302,a(flip),b,7839,a)]. 8093 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5641(a,1),7843(a,1,1,1)),flip(a)]. 8094 (x \ (y * T(x,z))) * x != u * T(x,z) | T(y,x) = u. [para(7854(a,2),25(a,1))]. 8095 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(6621,a,7887,a),flip(a)]. 8096 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(7921(a,2),7091(a,1,2))]. 8097 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(6837(a,1),7927(a,1,1,1)),flip(a)]. 8098 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(5325,a,7931,a)]. 8099 K(x,K(y,z)) = K(z,K(y,x)). [hyper(255,a,7783,a(flip),b,8098,a(flip))]. 8100 K(K(x,y),z) = K(x,K(y,z)). [hyper(6099,a,8099,a)]. 8101 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(255,a,8098,a(flip),b,8099,a)]. 8102 K(x,y) \ K(y,K(x,z)) = K(y,T(x,z)). [hyper(80,a,8099,a,b,7567,a)]. 8103 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [para(8099(a,1),104(a,1,2))]. 8104 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(8099(a,1),5208(a,2,1)),flip(a)]. 8105 x * K(y,K(z,x)) = T(x,K(z,y)). [para(8099(a,1),5252(a,2,2)),flip(a)]. 8106 K(x,K(y,z)) * z = T(z,K(y,x)). [para(8099(a,1),5263(a,2,1)),flip(a)]. 8107 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(8099(a,1),5227(a,1,1))]. 8110 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(8099(a,1),6093(a,1,1))]. 8112 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(8099(a,1),6094(a,1,2))]. 8113 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(8099(a,1),6096(a,1,1))]. 8114 K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. [para(8099(a,1),6098(a,1,1))]. 8115 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(8099(a,1),7549(a,1,2))]. 8116 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [para(8099(a,1),7924(a,1,1))]. 8117 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(255,a,6209,a(flip),b,8100,a)]. 8118 R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). [hyper(255,a,6358,a,b,8100,a(flip)),flip(a)]. 8119 T(x,K(y,z)) * K(y,K(z,x)) = x. [para(8100(a,1),5194(a,1,2))]. 8120 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(8100(a,1),5255(a,1,2))]. 8122 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(8100(a,1),6119(a,1))]. 8123 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(8100(a,1),6476(a,2,1))]. 8124 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(8100(a,1),6618(a,1,2))]. 8126 (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. [para(8100(a,1),7087(a,1,2))]. 8127 K(x,K(K(x,y) \ z,u)) = K(K(x,z),u). [para(8001(a,1),8100(a,1,1)),flip(a)]. 8128 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(8017(a,1),8100(a,1,1)),flip(a)]. 8129 K(x,K(y,z / y)) = K(x,K(y,z)). [para(21(a,1),8101(a,1,2,2)),flip(a)]. 8130 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(100(a,1),8101(a,1,2,2))]. 8131 K(x,K(y,y * z)) = K(x,K(y,z)). [para(5842(a,1),8101(a,1,2))]. 8132 T(x,K(y,y * z)) = K(z,K(y,x)) * x. [para(7782(a,1),8106(a,1,1)),flip(a)]. 8133 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(8106(a,1),8063(a,1,2,2))]. 8134 K(x,K(y,z)) = K(y,K(x,z)). [hyper(6097,a,8110,a)]. 8135 K(K(x,y),z) = K(y,K(z,x)). [hyper(5384,a,8110,a)]. 8136 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(8110(a,1),6097(a,1))]. 8137 K(K(x,y),z) = K(y,K(x,z)). [hyper(255,a,8100,a,b,8134,a),flip(a)]. 8138 K(x,K(y,z)) = K(z,K(x,y)). [hyper(255,a,8099,a,b,8134,a)]. 8139 K(x,K(x * y,z)) = K(y,K(x,z)). [hyper(255,a,7782,a(flip),b,8134,a)]. 8140 x * K(y,K(x,z)) = T(x,K(y,z)). [para(8134(a,1),5252(a,2,2)),flip(a)]. 8141 K(x,K(y,z)) * y = T(y,K(x,z)). [para(8134(a,1),5263(a,2,1)),flip(a)]. 8142 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(8134(a,1),5255(a,1,2))]. 8143 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(5842(a,2),8134(a,1,2))]. 8144 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(8134(a,1),6094(a,1,2))]. 8145 (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. [para(8134(a,1),5646(a,1,2))]. 8146 K(x,K(T(y,z),u)) = K(y,K(x,T(u,z))). [para(7542(a,2),8134(a,1,2))]. 8147 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(7728(a,1),8134(a,1,2)),flip(a)]. 8148 K(x,y) * K(y,K(z,x)) = K(x,T(y,z)). [para(8134(a,1),7549(a,1,2))]. 8149 K(x,K(y,K(x,z) * u)) = K(y,K(x,u)). [para(7994(a,1),8134(a,1,2)),flip(a)]. 8150 x * K(y,K(z,x)) = T(x,K(y,z)). [para(8134(a,1),8105(a,1,2))]. 8151 K(x,K(y,z)) * z = T(z,K(x,y)). [para(8134(a,1),8106(a,1,1))]. 8152 K(K(x,y),z) = K(x,K(z,y)). [hyper(255,a,8099,a,b,8135,a)]. 8153 K(K(x,y),z) = K(z,K(x,y)). [hyper(255,a,8099,a,b,8137,a)]. 8154 K(x,K(y,z)) = K(x,K(z,y)). [hyper(255,a,8135,a(flip),b,8137,a(flip))]. 8155 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(8137(a,1),5175(a,1,1))]. 8156 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(8137(a,1),6119(a,1))]. 8157 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(6209(a,1),8137(a,1,1)),flip(a)]. 8158 x * K(K(y,z),x) = T(x,K(y,z)). [para(8137(a,2),8105(a,1,2))]. 8159 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(255,a,7567,a,b,8138,a),flip(a)]. 8160 K(x,K(y,x \ z)) = K(z,K(x,y)). [hyper(255,a,7784,a(flip),b,8138,a)]. 8161 K(x,K(y,z)) * y = T(y,K(z,x)). [para(8138(a,1),5263(a,2,1)),flip(a)]. 8164 K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. [para(8138(a,2),5634(a,1,1))]. 8165 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(8138(a,2),6245(a,1,1))]. 8166 (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). [para(8138(a,2),6666(a,1,1,2))]. 8167 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [para(8138(a,2),6769(a,2,2))]. 8168 x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)). [para(8138(a,2),6771(a,1,2,2))]. 8169 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7542(a,1),8138(a,1,2))]. 8170 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(8138(a,2),7548(a,1,1))]. 8171 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(8138(a,1),7549(a,1,2))]. 8172 x * K(x,K(y,z)) = T(x,K(z,y)). [para(8138(a,1),8105(a,1,2))]. 8173 K(x,K(y,z)) * x = T(x,K(z,y)). [para(8138(a,1),8106(a,1,1))]. 8174 K(x,K(y,z)) / y = 1 / T(y,K(x,z)). [hyper(81,a,8152,a(flip),b,5183,a(flip))]. 8176 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(8152(a,1),6119(a,1))]. 8177 K(x,y) * K(z,K(x,y)) = T(K(x,y),z). [para(8153(a,1),5252(a,2,2)),flip(a)]. 8178 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(8153(a,1),5382(a,1,1))]. 8179 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(8153(a,1),5560(a,1,1))]. 8180 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(8153(a,1),5622(a,1,1))]. 8181 K(x,K(y,z)) * u != w | K(x,K(y,z)) \ u = w. [para(8153(a,1),5712(a,1,1))]. 8183 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(8153(a,1),6119(a,1))]. 8185 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(6430(a,1),8154(a,1,2)),flip(a)]. 8186 K(x,K(y,T(z,u))) = K(x,T(K(z,y),u)). [para(7522(a,1),8154(a,1,2)),flip(a)]. 8187 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(8154(a,1),7549(a,1,2))]. 8188 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(8119(a,1),8034(a,1,2,2)),flip(a)]. 8189 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(4680(a,1),8129(a,1,2))]. 8190 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(5374(a,1),8129(a,1,2))]. 8191 K(x * y,x) * K(z,K(x,y)) = K(x * y,T(x,z)). [para(8131(a,1),7549(a,1,2))]. 8192 K(x,K(x * y,z)) = K(x,K(y,z)). [hyper(255,a,8134,a,b,8139,a)]. 8193 T(x,K(y,z)) = T(x,K(z,y)). [hyper(255,a,8105,a(flip),b,8150,a(flip))]. 8194 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [hyper(6947,a,8193,a),flip(a)]. 8195 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(6941,a,8193,a)]. 8196 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(6871,a,8193,a),flip(a)]. 8197 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(6838,a,8193,a),flip(a)]. 8198 T(T(x,K(y,z)),K(y,z)) = x. [hyper(6800,a,8193,a)]. 8199 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(5717,a,8193,a)]. 8200 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(255,a,7852,a(flip),b,8193,a)]. 8201 T(x * y,K(z,y)) = y * T(x,T(y,z)). [hyper(255,a,6907,a(flip),b,8193,a)]. 8202 K(x,y) * T(z,K(y,x)) = z * K(x,y). [para(8193(a,1),127(a,1,2))]. 8203 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(8193(a,1),4519(a,1,2))]. 8204 T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. [para(8193(a,1),5829(a,1,1))]. 8205 T(T(x,y),K(z,u)) != w | T(T(x,K(u,z)),y) = w. [para(8193(a,1),5829(a,1))]. 8206 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(8193(a,1),6102(a,1,1))]. 8207 T(T(x,K(y,z)),K(y,z)) != u | u = x. [para(8193(a,1),6800(a,1,1))]. 8208 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(8193(a,1),7855(a,1,1))]. 8209 T(x,K(y,z)) * z = z * T(x,T(z,y)). [para(8193(a,1),7859(a,1,1))]. 8210 K(x,y) * z != u * K(x,y) | T(z,K(x,y)) = u. [para(8198(a,1),174(a,1,2)),flip(b)]. 8211 ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). [para(703(a,2),8198(a,1,1)),flip(a)]. 8212 T(K(x,y),z) * z = z * K(x,y). [para(8198(a,1),4584(a,1,2))]. 8213 (x * K(y,z)) / x = T(K(y,z),x). [para(8198(a,1),4586(a,1,2))]. 8214 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(8198(a,1),6800(a,1,1)),flip(b)]. 8216 K(x,K(y,z)) * (z * R(K(y,u),w,v5)) = T(z * R(K(y,u),w,v5),K(x,y)). [para(7987(a,1),8151(a,1,1,2))]. 8217 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(8158(a,1),7130(a,1,3)),flip(a)]. 8218 K(x,K(y,x \ z)) = K(x,K(y,z)). [hyper(255,a,8138,a,b,8160,a)]. 8219 K(x,K(y,x \ z)) = K(x,K(z,y)). [hyper(255,a,8134,a,b,8160,a)]. 8220 T(x,K(y,x \ z)) = K(z,K(x,y)) * x. [para(8160(a,1),5263(a,2,1))]. 8222 K(x,K(y \ z,y)) = K(x,K(z / y,z)). [para(6409(a,1),8190(a,1,2))]. 8223 K(x,K(x \ y,z)) = K(x,K(y,z)). [para(19(a,1),8192(a,1,2,1)),flip(a)]. 8224 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(8200(a,1),6102(a,1,1))]. 8225 K(T(x,T(y,z)),z) = K(T(x,y),z). [para(8200(a,1),7524(a,1,1))]. 8226 K(x,T(T(y,z),K(u,y * z))) = K(x,T(y,T(y * z,u))). [para(8200(a,1),7738(a,1,2)),flip(a)]. 8227 T(T(K(x,y),z),z) = K(x,y). [hyper(393,a,8212,a)]. 8228 (x * T(x \ y,z)) / y = T(K(x \ y,z),y). [hyper(81,a,6643,a,b,8212,a)]. 8229 T(K(x \ y,z),x) = K(y / x,z). [hyper(23,a,7626,a,b,8212,a)]. 8230 T(K(x \ y,z),y) = K(y / x,z). [hyper(23,a,6788,a,b,8212,a)]. 8231 T(K(x,T(y,z)),z) = K(x,y). [hyper(23,a,7559,a(flip),b,8212,a)]. 8232 K(x,y \ z) * z = z * K(x,z / y). [para(6599(a,1),8212(a,1,1))]. 8233 K(x \ y,z) * y = y * K(y / x,z). [para(6755(a,1),8212(a,1,1))]. 8234 K(T(x,y),z) * y = y * K(x,z). [para(7522(a,2),8212(a,1,1))]. 8235 K(x,T(y,z)) * z = z * K(x,y). [para(7539(a,2),8212(a,1,1))]. 8236 K(x,T(T(y,z),z)) = K(x,y). [hyper(255,a,7781,a,b,8227,a(flip)),flip(a)]. 8237 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(8227(a,1),183(a,1,2,1)),flip(a)]. 8238 R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). [para(8227(a,1),184(a,1,2,1)),flip(a)]. 8239 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(8227(a,1),206(a,1,2,2,1))]. 8240 T(K(1 / T(x,y),z),y) = K(1 / x,z). [para(5969(a,2),8227(a,1,1))]. 8241 T(K(x,1 / T(y,z)),z) = K(x,1 / y). [para(5979(a,2),8227(a,1,1))]. 8242 K(T(x,y),T(z,y)) = K(x,z). [hyper(7698,a,8231,a)]. 8243 K(x \ y,T(z,y)) = K(y / x,z). [hyper(6936,a,8231,a)]. 8244 K(T(x,y) \ 1,T(z,y)) = K(x \ 1,z). [hyper(5966,a,8231,a)]. 8246 (x * K(y,z)) / x = K(y,T(z,x)). [para(8231(a,1),167(a,1,1,2))]. 8247 x * K(y,z) != u * x | K(y,T(z,x)) = u. [para(8231(a,1),174(a,1,2)),flip(b)]. 8248 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(8231(a,1),184(a,1,2,1)),flip(a)]. 8249 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(8231(a,1),7526(a,1,1)),flip(a)]. 8250 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [hyper(255,a,7583,a,b,8236,a(flip)),flip(a)]. 8251 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(255,a,7885,a(flip),b,8236,a(flip))]. 8252 K(x,T(y \ z,z)) = K(x,z / y). [hyper(255,a,7849,a(flip),b,8236,a(flip)),flip(a)]. 8253 K((x * y) / x,z) = K(y,T(z,x)). [hyper(255,a,7586,a(flip),b,8236,a(flip))]. 8254 K(x \ y,T(z,x)) = K(y / x,z). [hyper(255,a,7584,a(flip),b,8236,a(flip)),flip(a)]. 8255 K(x,T(y \ z,y)) = K(x,z / y). [para(129(a,1),8236(a,1,2,1))]. 8256 K(x,(y * z) / y) = K(x,T(z,y)). [para(166(a,1),8236(a,1,2,1)),flip(a)]. 8257 K(T(x,y),z \ y) = K(x,y / z). [hyper(7573,a,8242,a)]. 8259 K(K(x,y) * z,T(u,z)) = K(z * K(x,y),u). [hyper(255,a,7621,a(flip),b,8242,a(flip)),flip(a)]. 8260 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(45(a,2),8242(a,1,1))]. 8261 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(45(a,2),8242(a,1,2))]. 8262 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(47(a,2),8242(a,1,2))]. 8263 K(T(x,y),y \ z) = K(x,z / y). [para(129(a,1),8242(a,1,2))]. 8264 K(x,(y * z) / y) = K(T(x,y),z). [para(166(a,1),8242(a,1,2)),flip(a)]. 8265 K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). [para(703(a,2),8242(a,1,2)),flip(a)]. 8266 K(T(x,x * y) * y,z) = K(x * y,T(z,T(x,y))). [para(920(a,1),8242(a,1,1)),flip(a)]. 8267 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(1061(a,1),8242(a,1,2))]. 8268 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(4506(a,1),8242(a,1,2))]. 8269 K(x * K(y,x),z) = K(x,T(z,y)). [para(5216(a,1),8242(a,1,1)),flip(a)]. 8270 x * K(T(x,y),T(z,y)) = T(x,z). [para(8242(a,2),5252(a,2,2)),flip(a)]. 8271 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(8242(a,1),5681(a,1,1)),flip(a)]. 8272 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(8242(a,1),6382(a,1,1))]. 8273 L(K(x,y),z * T(y,u),w) = K(T(x,u),L(T(y,u),z,w)). [para(8242(a,1),7009(a,1,1))]. 8274 L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)). [para(8242(a,1),7046(a,1,1))]. 8275 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(7514(a,1),8242(a,1,1))]. 8276 K(x,T(y,z)) * (z * K(y,x)) = z. [para(8242(a,1),7650(a,1,2,2))]. 8277 T(K(x,y),y \ 1) != z | K(x,y) = z. [para(8213(a,1),2342(a,1))]. 8278 K(x,K(y,x * z)) = K(x,K(y,z)). [para(18(a,1),8218(a,1,2,2)),flip(a)]. 8279 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(255,a,5998,a,b,8229,a)]. 8280 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [hyper(255,a,7558,a,b,8229,a(flip)),flip(a)]. 8281 K((x * y) \ z,T(x,y)) = K(z / (x * y),x). [hyper(255,a,6951,a(flip),b,8229,a(flip)),flip(a)]. 8282 K(x / y,x / z) = K(y \ x,z \ x). [hyper(6900,a,8230,a),flip(a)]. 8283 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(255,a,6951,a(flip),b,8230,a(flip)),flip(a)]. 8284 x / K(x / y,z) = K(y \ x,z) \ x. [para(8230(a,1),6872(a,1,2))]. 8285 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(7621(a,1),8234(a,1,1))]. 8286 K(x,T(y \ 1,z)) = K(x,y \ K(y,z)). [hyper(23,a,6431,a,b,8235,a)]. 8287 K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). [hyper(23,a,6121,a,b,8235,a)]. 8288 K(x,T((y \ z) \ 1,y)) = K(x,y / z). [hyper(23,a,6113,a(flip),b,8235,a)]. 8289 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(81,a,8235,a(flip),b,5221,a)]. 8290 K(x,T(y,z)) * z != z * u | K(x,y) = u. [para(8235(a,2),24(a,1))]. 8291 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(8235(a,1),574(a,1,2,1)),flip(a)]. 8292 (x * K(y,z)) * a(K(y,T(z,x)),u,u \ x) = (K(y,T(z,x)) * u) * (u \ x). [para(8235(a,1),633(a,1,1))]. 8293 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(8235(a,1),5220(a,1,2)),flip(a)]. 8294 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(6956(a,1),8235(a,1,1))]. 8295 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. [para(8235(a,1),5630(a,1,1,3)),flip(a)]. 8296 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(8235(a,1),8063(a,1,2,2))]. 8297 K(x,T(y * K(x,z),u)) = K(x,T(y,u)). [para(8235(a,1),8067(a,1,2,1))]. 8298 K(x \ (y \ z),T(y,z)) = K((y \ z) / x,y). [hyper(7534,a,8243,a)]. 8299 L(K(x \ y,T(z,u * y)),y,u) = K((u * y) / (u * x),z). [hyper(7074,a,8243,a)]. 8301 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(7957(a,1),8243(a,1,2))]. 8303 (K(x,T(y,z)) * u) * (u \ z) = z * R(K(x,y),u,u \ z). [para(8246(a,1),776(a,1,1,1))]. 8304 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(8246(a,1),769(a,1,1)),flip(a)]. 8305 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [hyper(7914,a,8252,a)]. 8307 K(x,T(y \ (x * z),z)) = K(x,(x * z) / y). [hyper(255,a,7683,a(flip),b,8252,a(flip)),flip(a)]. 8308 K(x,y / (y / z)) = K(x,T(z,y)). [para(73(a,1),8252(a,1,2,1)),flip(a)]. 8310 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(100(a,1),8253(a,1,1,1))]. 8311 K(R((x * y) / x,z,u),w) = K(R(y,z,u),T(w,x)). [para(775(a,2),8253(a,1,1))]. 8312 K(L((x \ y) / z,z,x),u) = K((x * z) \ y,T(u,z)). [para(782(a,2),8253(a,1,1))]. 8313 K(T(x,x * y) * y,z) = K(x * y,T(z,x)). [para(4124(a,1),8253(a,1,1))]. 8314 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(4148(a,1),8253(a,1,1))]. 8315 K((x \ y) \ 1,T(z,y)) = K(x / y,z). [hyper(255,a,6707,a,b,8254,a(flip)),flip(a)]. 8316 K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). [para(8254(a,1),6715(a,1,2)),flip(a)]. 8317 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(7970(a,1),8254(a,1,2))]. 8318 K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). [para(29(a,2),8255(a,1,2,1)),flip(a)]. 8319 K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). [para(33(a,2),8255(a,1,2,1)),flip(a)]. 8320 K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). [para(781(a,1),8256(a,1,2)),flip(a)]. 8321 K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). [para(779(a,1),8256(a,1,2)),flip(a)]. 8322 K(x,L(y / (z \ u),z \ u,z)) = K(x,T(u \ (z * y),z \ u)). [para(785(a,1),8256(a,1,2))]. 8325 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(4454(a,1),8263(a,1,1))]. 8327 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(7967(a,1),8263(a,1,1))]. 8328 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(255,a,5446,a,b,8264,a(flip)),flip(a)]. 8329 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(775(a,2),8264(a,1,2))]. 8330 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(8058(a,1),8269(a,1,1,2)),flip(a)]. 8331 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(5307(a,1),8270(a,1,2,2)),flip(a)]. 8332 K(x * T(y,z),T(y,u)) = K(x * y,T(y,u)). [para(8270(a,1),8048(a,1,1,2))]. 8333 K(x,T(y,z * K(u,x))) = K(x,T(y,z)). [para(8276(a,1),8063(a,1,2,2)),flip(a)]. 8336 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(8308(a,1),7322(a,1,2))]. 8337 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(8308(a,1),6922(a,1,1,2))]. 8338 K(x,y / (y / z)) != u | K(T(x,y),z) = u. [para(8308(a,2),7658(a,1))]. 8340 K(x * y,K(y,z)) != u | K(z,K(y,x)) = u. [para(7783(a,2),8122(a,1))]. 8342 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(8137(a,2),8122(a,1))]. 8345 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7542(a,1),8183(a,1,2))]. 8346 K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. [para(7584(a,2),8183(a,1,2))]. 8347 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(8101(a,2),8183(a,1))]. 8350 T(K(x,y),(z * y) \ z) != u | K(x,y) = u. [para(6854(a,2),8277(a,1))]. 8351 K(x,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = u. [para(8102(a,1),5623(a,1))]. 8352 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(7659(a,1),8104(a,1,1,2))]. 8353 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(8112(a,2),7895(a,1))]. 8354 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(8003(a,1),8112(a,1,2,2)),flip(a)]. 8355 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7553(a,1),8113(a,1,1,2)),flip(a)]. 8356 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(8115(a,1),24(a,1))]. 8357 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(7247(a,1),8115(a,1,2,2))]. 8358 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(8116(a,1),7957(a,1,2))]. 8359 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(8116(a,1),8041(a,1,2))]. 8360 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(129(a,1),8358(a,1,2,2)),flip(a)]. 8361 K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). [hyper(255,a,8100,a(flip),b,8127,a)]. 8362 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(255,a,8100,a(flip),b,8128,a)]. 8363 T(x,K(y,y * z)) = T(x,K(z,y)). [hyper(255,a,8151,a(flip),b,8132,a)]. 8364 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(255,a,8106,a(flip),b,8132,a)]. 8365 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(8363(a,1),8208(a,1,1))]. 8366 T(x,K(y,y * T(x,z))) = x. [hyper(255,a,7593,a(flip),b,8364,a)]. 8367 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(19(a,1),8364(a,1,2,2)),flip(a)]. 8368 T(x,K(y,z / y)) = T(x,K(y,z)). [para(5844(a,1),8364(a,1,2)),flip(a)]. 8369 T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). [hyper(40,a,8366,a)]. 8370 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(255,a,7539,a(flip),b,8133,a(flip)),flip(a)]. 8371 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7542(a,1),8144(a,1,2,2))]. 8372 K(x,y) * K(y,K(z,x)) != u | K(x,T(y,z)) = u. [para(8144(a,2),7895(a,1))]. 8373 K(x,K(T(y,z),u)) = K(y,K(u,T(x,z))). [hyper(8122,a,8146,a)]. 8374 K(x,y) * K(y,K(z,T(x,u))) = K(x,T(y,T(z,u))). [para(7542(a,1),8148(a,1,2,2))]. 8375 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(255,a,8134,a,b,8149,a)]. 8376 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(2081,a,8159,a)]. 8377 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(7879(a,1),8169(a,2,2))]. 8378 T(x,K(y,z)) * K(y,x) = x * K(y,T(x,z)). [para(8170(a,1),5220(a,1,2)),flip(a)]. 8379 K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). [para(7585(a,1),8171(a,1,2,2))]. 8380 R(K(x,y),z,u) \ R(T(K(x,y),w),z,u) = K(w,R(K(x,y),z,u)). [para(8177(a,1),5994(a,1,2,1))]. 8381 K(x,K(y,T(1 / L(1 / z,u,w),v5))) = K(x,T(L(K(z,y),u,w),v5)). [para(6481(a,1),8186(a,2,2,1))]. 8382 T(K(x,y) \ z,K(x,y)) = z * K(y,x). [hyper(519,a,8195,a),flip(a)]. 8384 T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). [para(8197(a,1),182(a,1,2,1)),flip(a)]. 8386 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(255,a,8201,a,b,8209,a),flip(a)]. 8387 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(255,a,8161,a(flip),b,8220,a)]. 8388 T(x,K(y,z / x)) = T(x,K(y,z)). [hyper(255,a,7655,a,b,8387,a(flip)),flip(a)]. 8389 T(x,K(y,x * z)) = T(x,K(y,z)). [para(18(a,1),8387(a,1,2,2)),flip(a)]. 8390 T(x,K(y,z / x)) = T(x,K(z,y)). [hyper(255,a,8193,a,b,8388,a)]. 8391 T(x,K(y,z * x)) = T(x,K(y,z)). [para(20(a,1),8388(a,1,2,2)),flip(a)]. 8392 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(255,a,8193,a,b,8389,a)]. 8393 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(255,a,8193,a,b,8391,a)]. 8394 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(8392(a,1),43(a,1,1)),flip(a)]. 8395 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(8392(a,1),8208(a,1,1))]. 8396 T(x,K(y * x,z)) = T(x,K(y,z)). [hyper(8214,a,8393,a)]. 8397 K(x,K(y / z,y)) = K(x,K(z,z \ y)). [hyper(8183,a,8222,a),flip(a)]. 8398 K(x \ (y \ z),y) * z = z * K(z / (y * x),y). [para(7505(a,1),8233(a,1,1))]. 8399 K(1 / T(T(x,y),y),z) = K(1 / x,z). [hyper(255,a,5969,a,b,8240,a(flip)),flip(a)]. 8400 K(x,1 / T(T(y,z),z)) = K(x,1 / y). [hyper(6178,a,8241,a)]. 8402 K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,y \ x)). [para(4506(a,1),8244(a,1,1,1)),flip(a)]. 8403 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(255,a,5853,a,b,8249,a)]. 8404 K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). [para(8249(a,1),5190(a,2,2))]. 8406 K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). [para(37(a,2),8279(a,1,1,1)),flip(a)]. 8407 T(K(x \ y,z),x) != u | K(y / x,z) = u. [para(8279(a,2),6146(a,1))]. 8409 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(7292,a,8282,a)]. 8410 K(x \ 1,y) * K(y,x \ K(x,z)) = K(x \ 1,K(y,z)). [para(8286(a,1),8159(a,1,2))]. 8411 K(x,T(1 / (y \ z),y)) = K(x,y / z). [hyper(255,a,3710,a,b,8288,a(flip)),flip(a)]. 8412 K(x,((y \ z) * y) \ y) = K(x,y / z). [hyper(255,a,7778,a(flip),b,8288,a(flip)),flip(a)]. 8413 K(x,T(y \ 1,z)) = K(x,z / (z * y)). [para(18(a,1),8288(a,1,2,1,1))]. 8414 (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). [para(7943(a,1),8289(a,1,1,2))]. 8415 (x * (K(y,z) * K(x,u))) * K(z,y) = T(x,T(u,K(y,z))). [hyper(6674,a,8293,a)]. 8416 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(8293(a,2),6382(a,1,2))]. 8417 (x * (K(y,z) * K(x,u))) * K(z,y) != w | T(x,T(u,K(y,z))) = w. [para(8293(a,1),6675(a,1,1)),flip(b)]. 8418 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(7053(a,1),8296(a,1,2,2)),flip(a)]. 8419 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(7231(a,1),8296(a,1,2,2)),flip(a)]. 8420 K(x,T(T(K(y,x) * z,u),w)) = K(x,T(T(z,u),w)). [para(7124(a,1),8297(a,1,2,1)),flip(a)]. 8421 K((x \ y) \ 1,T(z,y)) = K((y / x) \ 1,z). [hyper(255,a,5998,a,b,8315,a)]. 8422 K(x,T(y,z * L(K(u,x),w,v5))) = K(x,T(y,z)). [para(6475(a,1),8333(a,1,2,2,2))]. 8423 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(255,a,7797,a(flip),b,8360,a)]. 8424 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(70(a,1),8423(a,1,2,2)),flip(a)]. 8425 K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). [hyper(8136,a,8361,a)]. 8426 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5608(a,1),8362(a,1,1)),flip(a)]. 8427 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(8362(a,1),6642(a,1,3))]. 8428 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(8235(a,1),8362(a,1,1))]. 8429 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(7345,a,8427,a)]. 8430 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(255,a,8219,a(flip),b,8373,a(flip))]. 8431 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(6053(a,1),8375(a,1,2,2)),flip(a)]. 8432 K(x,K(y,z * K(u,x))) = K(x,K(y,z)). [para(8276(a,1),8375(a,1,2,2)),flip(a)]. 8433 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(8376(a,1),6675(a,1,1)),flip(b)]. 8434 x \ T(y,K(z,x)) = T(x \ y,K(z,x)). [hyper(5047,a,8386,a)]. 8435 K(x,K(y / z,y)) = K(x,K(z,y)). [hyper(255,a,8190,a(flip),b,8397,a)]. 8436 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(70(a,1),8435(a,1,2,1)),flip(a)]. 8437 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(8183,a,8436,a)]. 8438 K(x,K(y,z \ y)) = K(x,K(y,z)). [hyper(255,a,8154,a,b,8437,a)]. 8439 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(255,a,8189,a,b,8437,a(flip)),flip(a)]. 8440 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(255,a,8189,a,b,8438,a(flip)),flip(a)]. 8441 K(x,K(y,y / z)) = K(x,K(y,z)). [para(73(a,1),8438(a,1,2,2)),flip(a)]. 8442 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(8183,a,8439,a)]. 8443 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(8156,a,8439,a)]. 8444 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(255,a,8134,a,b,8439,a)]. 8445 K(x,K(y,z / (u * z))) = K(x,K(u,y)). [para(5782(a,2),8439(a,1,2))]. 8446 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6580(a,1),8439(a,1,2)),flip(a)]. 8447 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(8439(a,2),8183(a,1))]. 8448 K(x,K(y \ 1,z)) = K(z,K(x,y)). [hyper(8176,a,8440,a)]. 8449 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(8156,a,8440,a)]. 8450 K(x,K(y,1 / z)) = K(x,K(y,z)). [para(73(a,1),8440(a,1,2,2)),flip(a)]. 8451 T(x,K(y,z \ 1)) = x * K(x,K(y,z)). [para(8440(a,1),5252(a,2,2))]. 8452 K(x,K(y,z / (u * z))) = K(x,K(y,u)). [para(5782(a,2),8440(a,1,2))]. 8453 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5786(a,1),8440(a,1,2))]. 8454 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(8440(a,1),8112(a,1,2))]. 8455 K(x,K(y,y / z)) = K(y,K(x,z)). [hyper(255,a,8134,a,b,8441,a)]. 8456 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(255,a,8134,a,b,8442,a)]. 8457 (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. [hyper(80,a,8442,a(flip),b,6068,a(flip))]. 8458 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(6217(a,2),8442(a,1,2))]. 8459 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(255,a,8134,a,b,8443,a)]. 8460 T(1 / x,K(y,z)) = K(y,K(x,z)) / x. [hyper(81,a,8443,a(flip),b,5312,a),flip(a)]. 8461 K(1 / x,K(y,z)) = K(y,K(z,x)). [para(73(a,1),8444(a,1,2,2)),flip(a)]. 8462 K(x,K(y,1 / z)) = K(z,K(x,y)). [para(3707(a,2),8444(a,1,2))]. 8463 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(6225(a,1),8448(a,1,2)),flip(a)]. 8464 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(7107,a,8449,a)]. 8466 K(x,K(x / y,z)) = K(x,K(z,y)). [hyper(8176,a,8455,a)]. 8467 (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). [hyper(255,a,6030,a(flip),b,8461,a(flip)),flip(a)]. 8468 K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. [para(8461(a,2),8183(a,1))]. 8469 K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. [para(8462(a,2),8176(a,1))]. 8470 K(x,K(x / y,z)) = K(x,K(y,z)). [hyper(255,a,8154,a,b,8466,a)]. 8471 K(x,K(y,z \ x)) = K(x,K(z,y)). [para(70(a,1),8466(a,1,2,1)),flip(a)]. 8472 K(x,K(x / y,z)) != u | K(x,K(y,z)) = u. [para(8466(a,2),8183(a,1))]. 8473 K(x / y,K(x,z)) = K(x,K(y,z)). [hyper(8136,a,8470,a)]. 8474 T(x,K(y,z \ x)) = x * K(x,K(z,y)). [para(8471(a,1),5252(a,2,2))]. 8475 K(x,K(y,z)) != u | K(x,K(x / y,z)) = u. [para(8473(a,1),8136(a,1))]. 8476 T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). [para(8399(a,1),5197(a,2,2))]. 8477 K(x,1 / ((y * z) / y)) = K(x,1 / T(z,y)). [para(166(a,1),8400(a,1,2,2,1)),flip(a)]. 8478 K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). [para(188(a,1),8400(a,1,2,2,1))]. 8479 T(x,T(T(y,z),z)) = T(x,y). [hyper(22,a,7787,a,b,8403,a(flip)),flip(a)]. 8480 (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). [para(8403(a,2),180(a,1,1,1))]. 8481 T(x,T(y \ z,y)) = T(x,z / y). [para(129(a,1),8479(a,1,2,1))]. 8482 T(x,(y * z) / y) = T(x,T(z,y)). [para(166(a,1),8479(a,1,2,1)),flip(a)]. 8483 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(185(a,1),8479(a,1,2,1))]. 8484 T(x,y * K(z,y)) = T(x,T(y,z)). [para(5216(a,1),8479(a,1,2,1)),flip(a)]. 8486 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(8479(a,1),8095(a,2,2))]. 8488 T(x / y,(x * y) / x) = y \ x. [hyper(255,a,4117,a(flip),b,8482,a)]. 8489 T(x,(y * L(z,u,w)) / y) = T(x,L(T(z,y),u,w)). [para(45(a,2),8482(a,2,2))]. 8490 T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). [para(775(a,2),8482(a,1,2))]. 8491 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(6428(a,1),8482(a,1,2,1)),flip(a)]. 8492 T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). [hyper(255,a,4889,a,b,8484,a(flip)),flip(a)]. 8493 T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). [para(2573(a,1),8484(a,1,2))]. 8494 K(x \ y,T(z,(y * x) / y)) = K(y / x,z). [para(8488(a,1),8242(a,1,1))]. 8495 K(x,T(1 / y,z)) = K(x,z / (z * y)). [para(18(a,1),8411(a,1,2,1,2))]. 8496 K(x,y \ T(z,z \ y)) = K(x,z / y). [para(6064(a,1),8412(a,1,2))]. 8497 K(x,y / (y * z)) = K(x,y \ (z \ y)). [hyper(255,a,7942,a(flip),b,8413,a(flip))]. 8498 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(8424(a,1),7861(a,1,2))]. 8499 K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). [para(7539(a,1),8425(a,1,2))]. 8500 K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). [para(8432(a,1),8151(a,1,1))]. 8501 T(x \ K(x,y),K(z,x)) = x \ K(x,y). [para(2074(a,1),8434(a,1,2)),flip(a)]. 8502 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(8445(a,2),8183(a,1))]. 8503 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(7120(a,1),8446(a,1,2)),flip(a)]. 8504 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(8446(a,1),8183(a,1))]. 8505 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(255,a,5252,a,b,8451,a)]. 8506 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(255,a,8172,a(flip),b,8451,a)]. 8507 T(x,K(y \ 1,z)) = T(x,K(z,y)). [hyper(8214,a,8505,a)]. 8508 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(255,a,7852,a(flip),b,8505,a(flip))]. 8509 K(x,y \ 1) * T(z,K(x,y)) = z * K(x,y \ 1). [para(8505(a,1),127(a,1,2))]. 8510 T(T(x,K(y,z)),z \ 1) = T(x,T(z \ 1,y)). [para(8505(a,1),8208(a,1,1))]. 8511 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(6580(a,1),8506(a,1,2)),flip(a)]. 8512 K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. [para(8452(a,2),8183(a,1))]. 8513 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). [hyper(255,a,8174,a(flip),b,8460,a),flip(a)]. 8514 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(255,a,8172,a(flip),b,8474,a)]. 8515 T(x,K(y,x / z)) = T(x,K(y,z)). [para(73(a,1),8514(a,1,2,2)),flip(a)]. 8516 T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. [para(8514(a,1),8206(a,1,1))]. 8517 K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. [para(8515(a,1),6030(a,2,1,1))]. 8518 T(x,T(y,z)) * T(z,x) = z * T(x,y). [hyper(5936,a,8486,a)]. 8519 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(81,a,8486,a(flip),b,5538,a(flip))]. 8520 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(7537(a,1),8486(a,1,1))]. 8521 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(7580(a,1),8486(a,1,1))]. 8522 K(x,(y / z) / y) = K(x,y \ (z \ y)). [para(564(a,1),8496(a,1,2,2)),flip(a)]. 8523 T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). [para(8501(a,1),8208(a,1,1)),flip(a)]. 8524 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(255,a,7852,a(flip),b,8508,a(flip))]. 8525 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(255,a,5252,a(flip),b,8524,a)]. 8526 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(255,a,8367,a(flip),b,8511,a)]. 8527 T(x,K(y,y / z)) = T(x,K(z,y)). [para(73(a,1),8526(a,1,2,1)),flip(a)]. 8528 T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). [para(6686(a,1),8513(a,1,2)),flip(a)]. 8529 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [hyper(81,a,274,a(flip),b,8518,a)]. 8530 (x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u. [para(8518(a,1),304(a,1,1)),flip(b)]. 8532 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1990(a,1),8519(a,1,1,2))]. 8533 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(7970(a,1),8519(a,1,1,2)),flip(a)]. 8534 K(x,(y / z) / y) = K(x,y / (y * z)). [hyper(255,a,8497,a,b,8522,a)]. 8535 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(5323,a,8525,a)]. 8536 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(8525(a,2),5255(a,1))]. 8539 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(255,a,7884,a(flip),b,8535,a(flip)),flip(a)]. 8540 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(255,a,7883,a(flip),b,8535,a(flip)),flip(a)]. 8541 K(x,T(y * z,z)) = K(x,T(y * z,y)). [hyper(255,a,7541,a(flip),b,8535,a(flip)),flip(a)]. 8542 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(255,a,7536,a(flip),b,8535,a(flip)),flip(a)]. 8543 K(x,T(y,1 / z)) = K(x,T(y,z)). [para(73(a,1),8535(a,1,2,2)),flip(a)]. 8544 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6850(a,1),8535(a,1,2))]. 8545 (x \ 1) * K(y,T(z,x)) = K(y,z) * (x \ 1). [para(8535(a,1),7559(a,1,2))]. 8548 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(584(a,1),8539(a,1,2)),flip(a)]. 8549 K(x \ y,T(z,y \ x)) = K(x \ y,z). [hyper(5403,a,8544,a),flip(a)]. 8551 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(8544(a,1),7900(a,1))]. 8553 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(255,a,8269,a(flip),b,8275,a)]. 8554 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(439(a,1),8553(a,1,2,2)),flip(a)]. 8555 K(T(x,y \ z),y) != u | K(T(x,z),y) = u. [para(8268(a,2),8338(a,1))]. 8557 K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. [para(8229(a,1),8350(a,1))]. 8558 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(129(a,1),8359(a,1,2,2)),flip(a)]. 8559 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(7522(a,2),8407(a,1))]. 8560 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(7539(a,2),8407(a,1))]. 8561 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(5786(a,1),8447(a,1,2))]. 8562 K(x,K(y,z * K(u,w))) != v5 | K(x,K(y,K(w,u) / z)) = v5. [para(6704(a,1),8469(a,1,2))]. 8563 K(x / y,K(x,z)) != u | K(x,K(y,z)) = u. [para(8134(a,1),8472(a,1))]. 8564 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(8508(a,2),8536(a,1))]. 8565 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(7883(a,2),8551(a,1))]. 8566 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(4455(a,1),8559(a,1,1))]. 8567 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(7589(a,1),8559(a,1))]. 8569 T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. [para(8505(a,1),8564(a,1))]. 8570 K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. [para(4661(a,1),8565(a,1,2))]. 8571 K(x,T(y * z,z)) != u | K(x,T(y * z,y)) = u. [para(7541(a,1),8565(a,1))]. 8572 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(255,a,6039,a(flip),b,7937,a(flip))]. 8573 K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). [para(19(a,1),7941(a,1,2,2,2))]. 8574 K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). [para(8082(a,1),7941(a,1,2)),flip(a)]. 8575 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(8089(a,2),7941(a,1,2))]. 8576 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(5255,a,7945,a),flip(a)]. 8577 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(255,a,7792,a,b,8576,a(flip)),flip(a)]. 8578 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(255,a,6857,a,b,8576,a(flip)),flip(a)]. 8579 T(x,T((y / z) \ 1,y)) = T(x,y \ z). [para(73(a,1),8577(a,2,2,2))]. 8581 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(8578(a,1),8565(a,1,2))]. 8582 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [para(8579(a,1),8225(a,1,1)),flip(a)]. 8583 K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). [para(4419(a,1),8073(a,1,1,2)),flip(a)]. 8584 K(x * ((y * z) \ z),y) = K(x * ((z * y) \ z),y). [para(6062(a,1),8074(a,1,1,2))]. 8585 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(3513,a,8103,a),flip(a)]. 8586 K(x,K(y,R(x,z,u))) = 1. [para(126(a,1),8585(a,1,2,2,1))]. 8587 T(x,K(y,R(x,z,u))) = x. [hyper(42,a,8586,a)]. 8588 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(8587(a,1),43(a,1,1)),flip(a)]. 8589 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(6673(a,2),8155(a,1,2))]. 8590 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(8194(a,1),7542(a,1,1)),flip(a)]. 8591 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(8481(a,1),8224(a,1,1))]. 8592 T(K(x \ y,z),y) != u | K(y / x,z) = u. [para(8228(a,1),5493(a,1))]. 8593 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(7539(a,2),8592(a,1))]. 8594 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4506(a,1),8250(a,1,1,1)),flip(a)]. 8595 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(8250(a,1),8050(a,1,1,1))]. 8596 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(255,a,7944,a(flip),b,8259,a(flip))]. 8597 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1795(a,1),8260(a,1,1))]. 8598 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1795(a,1),8261(a,1,2))]. 8599 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(8403(a,1),8271(a,1,1))]. 8600 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [hyper(255,a,8549,a(flip),b,8280,a(flip))]. 8601 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(255,a,7216,a(flip),b,8283,a)]. 8602 K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. [para(8283(a,2),7217(a,1))]. 8603 T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). [para(8287(a,1),5252(a,2,2))]. 8604 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(255,a,6718,a(flip),b,8294,a)]. 8605 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(6105(a,1),8604(a,1,1))]. 8606 K(x,T(y,z)) * (z / y) = z / T(y,x). [para(7539(a,2),8604(a,1,1))]. 8607 K(x \ (y \ z),y) * z = z * K((y \ z) / x,y). [para(8298(a,1),7559(a,1,2)),flip(a)]. 8608 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(255,a,6390,a(flip),b,8307,a)]. 8610 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(8560,a,8314,a)]. 8611 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(8369(a,1),7781(a,2,1))]. 8612 K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w. [para(8377(a,2),8136(a,1))]. 8613 T(T(x,y),K(z,x * y)) = T(x,T(y,z)). [hyper(255,a,7855,a(flip),b,8394,a)]. 8614 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [hyper(80,a,8613,a(flip),b,6687,a)]. 8615 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(5830,a,8395,a)]. 8616 K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,x)). [para(73(a,1),8421(a,1,1,1)),flip(a)]. 8617 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8429(a,2),5619(a,1,1))]. 8618 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(255,a,8112,a(flip),b,8454,a(flip))]. 8621 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(8618(a,1),7871(a,1))]. 8625 T(x,1 / T(T(y,z),z)) = T(x,1 / y). [hyper(255,a,5197,a,b,8476,a)]. 8626 T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). [para(129(a,1),8625(a,1,2,2,1))]. 8627 K(x,K(y,z) / y) = K(x,1 / T(y,z)). [para(5362(a,2),8477(a,1,2))]. 8628 K(x,K(1 / y,z) / (1 / y)) = T(K(x,y),z). [hyper(255,a,5980,a(flip),b,8627,a)]. 8629 T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). [para(5692(a,1),8493(a,1,2,1))]. 8630 K(x \ y,T(z,x * K(y,x))) = K(y / x,z). [para(5217(a,1),8494(a,1,2,2))]. 8631 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(129(a,1),8498(a,1,2,2)),flip(a)]. 8632 T(T(x,K(y,z)),(y \ z) \ 1) = T(x,T((y \ z) \ 1,y)). [para(8367(a,1),8510(a,1,1))]. 8633 T(x,y) * T(x \ K(x,z),x) = (x \ K(x,z)) * T(x,y). [para(8523(a,1),127(a,1,2))]. 8635 K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). [hyper(255,a,7819,a(flip),b,8572,a(flip))]. 8636 K(x,T(y,(y * z) \ u)) = K(x,T(y,z \ u)). [para(7518(a,2),8574(a,1,2))]. 8637 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). [hyper(255,a,8115,a,b,8575,a),flip(a)]. 8638 K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). [para(6413(a,1),8589(a,1,1,2))]. 8639 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(8100(a,1),8599(a,2,1))]. 8640 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(255,a,8254,a(flip),b,8600,a)]. 8641 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(5680,a,8605,a)]. 8642 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(8608(a,2),7559(a,2,1)),flip(a)]. 8643 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(8615(a,1),182(a,1,2))]. 8644 T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). [para(4455(a,1),8626(a,1,2,2))]. 8645 K(x,1 / (K(y,z \ 1) / z)) = T(K(x,z),y). [para(5701(a,1),8628(a,1,2))]. 8646 T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). [para(8635(a,1),5291(a,2,2,2))]. 8647 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(7900,a,8636,a),flip(a)]. 8648 K(x,y * K(y \ 1,z)) = T(K(x,y),z). [hyper(255,a,6704,a(flip),b,8645,a(flip)),flip(a)]. 8649 K(x,y * K(1 / y,z)) = T(K(x,y),z). [para(3309(a,2),8648(a,1,2,2))]. 8651 K(x,y * K(1 / y,z * y)) = T(K(x,y),z / (1 / y)). [para(6296(a,1),8649(a,1,2,2))]. 8652 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [hyper(255,a,6408,a,b,8647,a)]. 8653 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(255,a,6408,a,b,8652,a(flip)),flip(a)]. 8654 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(18(a,1),8653(a,1,2,2)),flip(a)]. 8655 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(255,a,7046,a(flip),b,7440,a)]. 8656 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(439(a,1),8655(a,1,2)),flip(a)]. 8657 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(5600(a,1),7600(a,1))]. 8659 K(x,y) * (T(z,K(x,y)) * R(K(y,u),w,v5)) = (z * K(x,y)) * R(K(y,u),w,v5). [para(7756(a,1),430(a,1,2)),flip(a)]. 8660 L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)). [hyper(255,a,7702,a(flip),b,7804,a)]. 8661 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ (x \ ((y * L(y \ z,u,w)) * x))). [para(1934(a,1),7806(a,1,2,2,2)),flip(a)]. 8662 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(4418(a,1),7807(a,2,2,2,2))]. 8664 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(255,a,6382,a(flip),b,7998,a(flip)),flip(a)]. 8665 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(255,a,7988,a(flip),b,8664,a)]. 8666 K(x,y * K(z,x)) != u | K(x,y) = u. [para(8664(a,1),7483(a,1))]. 8668 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(51(a,1),8665(a,1,2))]. 8669 K(x,y * x) != z | K(x,x * y) = z. [para(104(a,1),8666(a,1,2))]. 8670 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(1560(a,1),8666(a,1,2))]. 8674 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(7047(a,2),8669(a,1))]. 8675 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(255,a,7208,a(flip),b,8010,a(flip)),flip(a)]. 8676 K(R(x,K(y,z),u),z) = K(x,z). [hyper(255,a,8007,a(flip),b,8675,a)]. 8678 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(51(a,1),8676(a,1,1))]. 8679 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(255,a,7046,a(flip),b,8026,a(flip)),flip(a)]. 8680 K(L(x,K(y,z),u),y) = K(x,y). [hyper(255,a,8017,a(flip),b,8679,a)]. 8681 K(L(x,K(y,z),u),y) != w | K(x,y) = w. [para(8679(a,2),8069(a,1))]. 8683 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(241(a,1),8680(a,1,1))]. 8684 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(7759(a,2),8081(a,1))]. 8685 K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. [para(7761(a,1),8081(a,1))]. 8686 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(8115(a,1),8120(a,1))]. 8687 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(8169(a,2),8120(a,1,2))]. 8689 K(x,y / z) != u | T(K(x,z \ y),z) = u. [para(8255(a,1),8686(a,1))]. 8690 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(8430(a,2),8345(a,1))]. 8691 K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. [para(7783(a,1),8353(a,1,2))]. 8693 K(x,T(y,z * (u * K(w,x)))) = K(x,T(y,z * u)). [para(112(a,1),8422(a,1,2,2))]. 8694 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(7522(a,1),8657(a,1,1))]. 8695 K(x \ (y * z),z) != u | K((x / z) \ y,z) = u. [para(21(a,1),8684(a,1,1,1))]. 8697 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(7846(a,1),8684(a,1))]. 8698 K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. [para(6098(a,2),8694(a,1))]. 8699 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(7030(a,2),8697(a,1))]. 8700 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(422,a,7419,a)]. 8701 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [hyper(7305,a,8700,a)]. 8702 K(x,L(y,z,T(x,u))) = K(x,y). [hyper(255,a,7009,a(flip),b,8700,a(flip)),flip(a)]. 8703 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [para(45(a,1),8702(a,1,2))]. 8704 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(255,a,8252,a(flip),b,7437,a(flip))]. 8705 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(255,a,8608,a(flip),b,8704,a(flip))]. 8706 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(255,a,8307,a(flip),b,8704,a(flip)),flip(a)]. 8707 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(8704(a,2),7651(a,1,1))]. 8708 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(27,a,8705,a)]. 8709 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(255,a,8066,a,b,8705,a(flip)),flip(a)]. 8710 K(x,((x * y) / z) \ x) = K(x,z / y). [para(18(a,1),8705(a,1,2,2)),flip(a)]. 8711 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(8705(a,1),6373(a,1,1))]. 8712 K(x,(y * x) / z) = K(x,(x * y) / z). [hyper(255,a,8066,a,b,8706,a),flip(a)]. 8713 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(19(a,1),8706(a,1,2,1)),flip(a)]. 8714 K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u. [para(8706(a,1),6392(a,1))]. 8715 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [hyper(8689,a,8709,a)]. 8716 K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). [hyper(255,a,8305,a,b,8709,a(flip)),flip(a)]. 8717 K(x,(y \ (x * z)) / z) = K(x,y \ x). [para(70(a,1),8710(a,1,2,1)),flip(a)]. 8718 x * K(x,(x * y) / z) = T(x,(y * x) / z). [para(8712(a,1),5252(a,2,2)),flip(a)]. 8719 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(8712(a,2),6392(a,1))]. 8720 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(8038,a,8713,a)]. 8721 K(x,(y \ R(x,z,z \ 1)) / a(x,z,z \ 1)) = K(x,y \ x). [para(644(a,1),8717(a,1,2,1,2))]. 8722 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(20(a,1),8720(a,1,2,2))]. 8723 K(x,y / ((x \ z) * x)) = K(x,y / z). [hyper(255,a,8713,a(flip),b,8722,a(flip))]. 8724 K(x,y / (z * x)) = K(x,y / (x * z)). [para(18(a,1),8723(a,1,2,2,1))]. 8725 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(255,a,7395,a(flip),b,8724,a)]. 8726 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(123(a,2),8724(a,2,2)),flip(a)]. 8728 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(21(a,1),8725(a,1,2,2,1)),flip(a)]. 8729 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(4656(a,1),8725(a,1,2,2,1))]. 8730 K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. [para(8305(a,2),8719(a,1))]. 8731 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(255,a,5390,a(flip),b,8726,a(flip)),flip(a)]. 8732 T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)). [para(7465(a,1),1061(a,1,1,2))]. 8733 T(K(x,y) * (z * K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * z). [para(7465(a,1),8196(a,1,1))]. 8734 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(47(a,2),7547(a,2,2))]. 8735 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(7614(a,1),7568(a,1,1,2)),flip(a)]. 8736 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(8099(a,1),7570(a,1,1))]. 8737 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(255,a,7648,a(flip),b,7609,a(flip))]. 8738 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(8479(a,1),8737(a,1,1,2))]. 8739 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(3053(a,1),7652(a,1,2,2))]. 8740 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(47(a,2),7684(a,2,2))]. 8741 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(87,a,7691,a)]. 8743 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(20(a,1),7704(a,1,1,1,1,2))]. 8744 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(255,a,5055,a(flip),b,7706,a(flip))]. 8745 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(7754(a,1),8199(a,1,2))]. 8746 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(27,a,7762,a)]. 8747 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(18(a,1),7762(a,2,2,1,2))]. 8748 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(422,a,7770,a)]. 8749 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(7304,a,8748,a)]. 8750 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(255,a,7349,a(flip),b,7805,a(flip)),flip(a)]. 8751 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(7810(a,1),5564(a,1,2))]. 8752 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4906(a,1),7822(a,1,1))]. 8753 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(23,a,5263,a(flip),b,7829,a),flip(a)]. 8757 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(6189(a,1),8753(a,1,1,2))]. 8758 K(x,y) * K(z \ 1,x) = z * T(z \ K(x,y),x). [para(8753(a,1),6643(a,2,2)),flip(a)]. 8759 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). [para(8757(a,1),5992(a,1,1,1,2)),flip(a)]. 8760 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [hyper(255,a,6634,a(flip),b,7832,a)]. 8761 T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). [para(8760(a,1),5252(a,2,2))]. 8763 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(6672(a,1),8760(a,1,2,1)),flip(a)]. 8764 K(x,((y * K(z,x)) * u) \ w) = K(x,(y * u) \ w). [para(7231(a,1),8760(a,1,2,1)),flip(a)]. 8765 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7559(a,1),8760(a,1,2,1))]. 8766 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7572(a,1),8760(a,1,2,1)),flip(a)]. 8768 K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). [para(6475(a,1),8763(a,1,2,1,2))]. 8769 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(7586(a,1),8763(a,1,2,1,2))]. 8770 K(x,y \ T(x,z)) = K(x,y \ x). [hyper(255,a,7000,a(flip),b,8765,a(flip))]. 8771 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(29(a,2),8765(a,1,2)),flip(a)]. 8772 K(x,T(y,z) \ x) = K(x,T(y \ x,z)). [hyper(255,a,7577,a(flip),b,8770,a(flip))]. 8773 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(129(a,1),8770(a,1,2,2)),flip(a)]. 8774 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(255,a,7730,a(flip),b,8766,a(flip)),flip(a)]. 8775 K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). [hyper(255,a,7598,a(flip),b,8772,a)]. 8777 K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(255,a,6997,a(flip),b,8772,a(flip))]. 8779 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(5536(a,1),8774(a,1,2,2)),flip(a)]. 8780 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ R(x,z,z \ 1)). [para(6295(a,1),8774(a,1,2,2)),flip(a)]. 8781 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(8774(a,1),7539(a,2,1))]. 8782 K(x,y \ (z * K(x,u))) = K(x,y \ z). [para(8235(a,1),8774(a,1,2,2))]. 8783 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(8276(a,1),8774(a,1,2,2)),flip(a)]. 8784 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(6576(a,1),8782(a,1,2,2))]. 8785 K(x,y \ (z * (u * x))) = K(x,y \ (z * (x * u))). [para(7053(a,1),8782(a,1,2,2)),flip(a)]. 8786 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [para(7231(a,1),8782(a,1,2,2)),flip(a)]. 8787 K(x,y \ (z * L(K(u,x),w,v5))) = K(x,y \ z). [para(6475(a,1),8783(a,1,2,2,2))]. 8788 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [hyper(255,a,5252,a,b,8761,a)]. 8789 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(7053(a,1),8788(a,1,2,1)),flip(a)]. 8790 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [para(7559(a,1),8788(a,1,2,1))]. 8791 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(7572(a,1),8788(a,1,2,1)),flip(a)]. 8792 T(x,y \ K(x,z)) = T(x,y \ 1). [hyper(255,a,6854,a(flip),b,8790,a(flip))]. 8793 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(8792(a,1),6082(a,1,2,1))]. 8795 K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). [para(6686(a,1),8775(a,1,2,1))]. 8796 K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). [para(112(a,1),8768(a,1,2,1))]. 8797 K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). [para(112(a,1),8787(a,1,2,2))]. 8798 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(7851(a,1),7323(a,1,3,2))]. 8800 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(255,a,8791,a(flip),b,7912,a(flip)),flip(a)]. 8802 T(x,y \ T(x,z)) = T(x,y \ x). [para(5207(a,1),8800(a,1,2,2)),flip(a)]. 8803 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5846(a,1),8800(a,1,2,2))]. 8804 T(x,T(x,y) / z) = T(x,z \ x). [hyper(7531,a,8802,a)]. 8805 T(x,T(y,z) \ x) = T(x,T(y \ x,z)). [hyper(255,a,7679,a(flip),b,8802,a(flip))]. 8806 T(x,(T(x,y) / z) \ x) = T(x,z). [para(73(a,1),8802(a,1,2)),flip(a)]. 8808 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(7933(a,1),7279(a,1,2))]. 8809 T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). [hyper(255,a,5291,a,b,7940,a)]. 8810 T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). [para(18(a,1),8809(a,1,2,2,1)),flip(a)]. 8811 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). [para(1151(a,1),8809(a,1,2,2,1)),flip(a)]. 8812 T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). [hyper(255,a,7518,a(flip),b,8810,a(flip)),flip(a)]. 8813 T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). [hyper(255,a,6854,a(flip),b,8812,a(flip))]. 8814 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(18(a,1),7946(a,1,1,2)),flip(a)]. 8815 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(47(a,2),8054(a,1,2,1))]. 8816 K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. [para(8114(a,2),8694(a,1))]. 8817 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(6483(a,1),8123(a,1,1)),flip(a)]. 8818 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(6672(a,1),8124(a,1,1)),flip(a)]. 8819 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(255,a,8429,a(flip),b,8217,a)]. 8821 T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). [para(47(a,1),8238(a,1,1))]. 8822 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(5832,a,8239,a)]. 8823 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [hyper(255,a,5295,a(flip),b,8822,a(flip))]. 8824 T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). [hyper(255,a,185,a(flip),b,8822,a(flip)),flip(a)]. 8825 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(7970(a,1),8248(a,1,1,1,2))]. 8826 K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). [hyper(255,a,8313,a(flip),b,8266,a(flip))]. 8827 T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). [para(8826(a,1),7559(a,1,2))]. 8828 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(8329(a,1),5252(a,2,2))]. 8830 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(255,a,5082,a,b,8331,a(flip)),flip(a)]. 8831 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(255,a,8112,a(flip),b,8354,a)]. 8834 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(255,a,8113,a(flip),b,8355,a)]. 8835 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(6100(a,1),8834(a,1,2))]. 8836 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4563(a,1),8371(a,1,2,2,2))]. 8837 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(y,K(u / (x * z),x)). [para(8281(a,1),8374(a,1,2,2)),flip(a)]. 8839 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [hyper(255,a,8616,a(flip),b,8402,a(flip))]. 8840 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(104(a,1),8419(a,1,2,2,1))]. 8841 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(x * z,u),w)). [para(5226(a,1),8420(a,1,2,1,1)),flip(a)]. 8842 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(5896(a,1),8458(a,2,2))]. 8843 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(8443(a,1),8464(a,1,1))]. 8844 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(8449(a,1),8464(a,1,1))]. 8845 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(8459(a,1),8464(a,1,1))]. 8846 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(w,u))). [para(8843(a,1),112(a,1,2))]. 8847 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(255,a,8843,a(flip),b,8844,a(flip))]. 8848 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). [para(8844(a,1),112(a,1,2))]. 8850 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(255,a,8844,a(flip),b,8845,a(flip))]. 8851 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(255,a,8843,a(flip),b,8845,a(flip))]. 8852 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(255,a,8817,a(flip),b,8845,a(flip)),flip(a)]. 8853 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(w,K(z,u))). [para(8845(a,1),112(a,1,2))]. 8854 K(x,K(x / y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(8475,a,8847,a)]. 8855 K(x,K(L(y,z,u),w)) = K(x,K(y,L(w,z,u))). [hyper(8183,a,8847,a)]. 8856 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(241(a,1),8850(a,2,2,2))]. 8857 K(x,K(y,L(z,u,w))) != v5 | K(z,K(y,L(x,u,w))) = v5. [para(8850(a,1),8136(a,1))]. 8858 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8850(a,2),8136(a,1))]. 8859 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(255,a,8134,a,b,8852,a)]. 8861 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(8859(a,2),8136(a,1))]. 8862 T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). [hyper(255,a,5980,a(flip),b,8478,a(flip)),flip(a)]. 8863 T(x,L((y * z) / y,u,w)) = T(x,L(T(z,y),u,w)). [para(767(a,2),8489(a,1,2))]. 8864 T(x,L(y * K(z,y),u,w)) = T(x,L(T(y,z),u,w)). [para(5431(a,2),8489(a,1,2))]. 8865 T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). [para(47(a,2),8490(a,2,2))]. 8866 T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). [hyper(255,a,8232,a(flip),b,8516,a)]. 8867 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(255,a,3526,a,b,8520,a)]. 8868 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(8529(a,1),6620(a,1,1,1))]. 8869 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(255,a,8519,a(flip),b,8533,a)]. 8870 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(6886(a,1),8869(a,1,2,1)),flip(a)]. 8871 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(8548(a,1),5457(a,1,2))]. 8872 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(8548(a,2),8144(a,2,1))]. 8873 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(255,a,8540,a(flip),b,8573,a)]. 8875 T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). [hyper(255,a,5252,a,b,8603,a)]. 8877 T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)). [para(18(a,1),8875(a,1,2,1,1)),flip(a)]. 8878 T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). [para(5360(a,1),8877(a,1,2)),flip(a)]. 8879 T(x,y \ K(y,z)) = T(x,z \ (y \ z)). [hyper(255,a,8577,a(flip),b,8878,a(flip))]. 8880 T(x,y / (y * z)) = T(x,y \ (z \ y)). [hyper(255,a,5647,a(flip),b,8879,a(flip)),flip(a)]. 8881 K((x \ y) / z,x) = K(y / (x * z),x). [hyper(22,a,8398,a(flip),b,8607,a(flip))]. 8882 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(255,a,8251,a,b,8610,a),flip(a)]. 8883 K(T(x * y,y) / x,z) = K(y,z). [hyper(8681,a,8882,a),flip(a)]. 8885 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(19(a,1),8883(a,1,1,1,1))]. 8886 K(x \ T(y,x \ y),x) = K(x \ y,x). [hyper(5665,a,8885,a)]. 8887 K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K((T(x,y) / z) \ x,T(x,y) / z). [para(8806(a,1),8886(a,1,1,2))]. 8888 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(8641(a,1),3534(a,1,2)),flip(a)]. 8889 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(255,a,8018,a(flip),b,8683,a)]. 8891 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(6672(a,1),8889(a,1,1,1)),flip(a)]. 8892 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(7053(a,1),8889(a,1,1,1)),flip(a)]. 8893 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7572(a,1),8889(a,1,1,1)),flip(a)]. 8894 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(8242(a,1),8889(a,1,1,1,2))]. 8896 K(T(x * K(y * K(z,u),w),y * K(z,u)),u) = K(y \ (x * T(y * K(z,u),w)),u). [para(6712(a,1),8891(a,1,1))]. 8897 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(255,a,7727,a(flip),b,8893,a(flip)),flip(a)]. 8899 K(x \ T(y,z),y) = K(x \ y,y). [para(5263(a,2),8897(a,1,1,2))]. 8900 K(x \ (K(y,z) * u),z) = K(x \ u,z). [para(5608(a,1),8897(a,1,1,2)),flip(a)]. 8901 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(5409(a,1),8897(a,1,1,2)),flip(a)]. 8902 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(5536(a,1),8897(a,1,1,2)),flip(a)]. 8904 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(8242(a,1),8897(a,1,1,2,1))]. 8905 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(8235(a,1),8897(a,1,1,2))]. 8906 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(255,a,7188,a(flip),b,8899,a(flip))]. 8907 K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). [para(5787(a,1),8900(a,1,1,2))]. 8908 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(6027(a,1),8900(a,1,1,2))]. 8909 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(7053(a,1),8905(a,1,1,2)),flip(a)]. 8911 K(((x * y) \ x) \ z,T(z,K(y,u))) = K(L(y \ 1,y,x) \ z,z). [para(1287(a,1),8906(a,1,1,1)),flip(a)]. 8912 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(175(a,1),8908(a,1,1)),flip(a)]. 8913 K(T(x,y * (z * K(u,w))),w) = (v5 * K(w,T(x,y * z))) \ v5. [para(8693(a,1),6670(a,1,1,2)),flip(a)]. 8914 K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). [para(7525(a,1),8693(a,1,2,2,2))]. 8915 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(255,a,8779,a(flip),b,8701,a)]. 8917 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5899,a,8708,a)]. 8918 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(255,a,8064,a,b,8917,a(flip)),flip(a)]. 8919 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7539(a,2),8734(a,1,1))]. 8920 K(x,T(y,z)) * u != K(x,K(y,z)) * w | K(x,y) * u = w. [para(8736(a,1),24(a,1))]. 8921 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(8223(a,1),8736(a,1,1))]. 8922 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(18(a,1),8740(a,1,2,1,2)),flip(a)]. 8923 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(22,a,7400,a(flip),b,8744,a)]. 8924 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [para(18(a,1),8744(a,2,2,2,1))]. 8925 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(8923(a,1),6670(a,1,1,2)),flip(a)]. 8926 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(255,a,8902,a(flip),b,8749,a)]. 8928 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(8926(a,1),8138(a,2,2))]. 8929 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(21(a,1),8750(a,1,2,1,2)),flip(a)]. 8930 K(x,((1 / y) * y) \ (x \ z)) = K(x,L(x,y,y \ 1) \ z). [para(3043(a,1),8750(a,1,2,1)),flip(a)]. 8931 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(8750(a,1),6670(a,1,1,2))]. 8932 K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). [para(263(a,1),8764(a,1,2,1,1))]. 8933 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(255,a,8409,a(flip),b,8773,a(flip))]. 8934 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(255,a,7539,a,b,8781,a)]. 8935 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(255,a,7943,a(flip),b,8784,a(flip))]. 8936 K(x,y \ ((z * K(x,u)) * w)) = K(x,y \ (z * w)). [para(6672(a,1),8786(a,1,2,2,1)),flip(a)]. 8937 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(7525(a,1),8796(a,1,2,1,2))]. 8938 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(7525(a,1),8797(a,1,2,2,2))]. 8939 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(8803(a,1),5195(a,1,1,1))]. 8940 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1939(a,1),8814(a,1,2)),flip(a)]. 8941 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1965(a,1),8814(a,1,2)),flip(a)]. 8942 (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). [para(5958(a,1),8818(a,1,1))]. 8943 T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). [hyper(172,a,8821,a(flip),b,4145,a(flip))]. 8945 K(L(K(x,y),z,u),w) = K(w,L(K(x,y),z,u)). [hyper(22,a,5252,a(flip),b,8823,a)]. 8946 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(255,a,8859,a(flip),b,8945,a(flip))]. 8947 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(255,a,8847,a,b,8946,a)]. 8948 K(x,1 / L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [para(6484(a,2),8946(a,1,2))]. 8949 K(x,K(y,L(z,z,u))) = K(x,K(z,y)). [para(6586(a,1),8946(a,1,2)),flip(a)]. 8950 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(7009(a,1),8947(a,1,2)),flip(a)]. 8951 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(5323,a,8830,a)]. 8952 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(6008(a,1),8951(a,1,2,1)),flip(a)]. 8953 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(255,a,8831,a(flip),b,8835,a)]. 8955 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(6673(a,1),8953(a,1,2))]. 8956 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(8955(a,1),8819(a,1,2))]. 8957 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,(z * y) \ u)). [para(241(a,1),8854(a,1,2,2)),flip(a)]. 8958 T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). [para(4524(a,1),8865(a,1,2,1)),flip(a)]. 8959 K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). [hyper(5542,a,8866,a)]. 8960 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [para(8138(a,2),8959(a,1,1))]. 8961 (K(x,y / z) * K(K(x,z \ y),u)) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(8960(a,1),5324(a,1,1,1))]. 8962 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(255,a,7497,a,b,8870,a(flip)),flip(a)]. 8963 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [hyper(255,a,6232,a(flip),b,8892,a)]. 8964 R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). [para(8901(a,1),5996(a,1,1,1,2))]. 8965 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(5175(a,1),8904(a,1,1,2)),flip(a)]. 8966 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(424(a,1),8909(a,2,1))]. 8967 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(19(a,1),8919(a,1,2)),flip(a)]. 8968 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(5505,a,8922,a)]. 8969 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(7354,a,8929,a)]. 8970 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(5263(a,2),8934(a,1,2,1,2))]. 8971 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(7601(a,1),8934(a,1,2,1,2))]. 8972 K(x,y \ (((z / x) * u) * w)) = K(x,y \ (((x \ z) * u) * w)). [para(6957(a,1),8936(a,1,2,2,1))]. 8973 K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). [para(424(a,1),8938(a,1,2))]. 8974 K(x,1 / L(K(y,z),u,w)) = K(x,L(K(y,z),u,w)). [hyper(255,a,8947,a,b,8948,a)]. 8975 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(255,a,8851,a,b,8950,a(flip)),flip(a)]. 8976 K((x \ y) \ z,T(z,u)) = K(y \ (z * x),T(z,u)). [hyper(255,a,7695,a,b,8965,a(flip)),flip(a)]. 8977 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(255,a,332,a(flip),b,8967,a)]. 8978 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(255,a,7539,a(flip),b,8977,a)]. 8979 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [para(17(a,1),8969(a,2,2,1))]. 8980 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(18(a,1),8969(a,1,2,1,2)),flip(a)]. 8981 K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). [para(21(a,1),8979(a,1,2,1)),flip(a)]. 8982 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (y / (x \ 1))) \ u). [para(8981(a,1),6989(a,1,1))]. 8983 K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). [hyper(255,a,8601,a(flip),b,8976,a)]. 8984 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [para(18(a,1),8983(a,1,1,1)),flip(a)]. 8985 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(255,a,5735,a(flip),b,8984,a(flip)),flip(a)]. 8986 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(8070,a,8985,a)]. 8988 L(T(K(x,T(y,z)),u * (K(y,x) * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [hyper(81,a,7629,a(flip),b,8237,a),flip(a)]. 8989 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). [para(1425(a,1),7633(a,1,2)),flip(a)]. 8990 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(255,a,5388,a(flip),b,7808,a)]. 8992 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(7556(a,1),7841(a,1,2))]. 8993 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(255,a,5726,a(flip),b,8992,a(flip))]. 8994 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [para(8993(a,1),167(a,1,1,2))]. 8995 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(6975(a,1),8994(a,1,1))]. 8996 K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u. [para(8770(a,1),7903(a,1))]. 8998 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(255,a,8269,a(flip),b,8330,a)]. 8999 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(5354(a,1),8998(a,1,2,2))]. 9000 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(80,a,8808,a(flip),b,5545,a),flip(a)]. 9001 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). [para(8808(a,1),33(a,2,2,2)),flip(a)]. 9002 L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. [para(8843(a,2),8857(a,1))]. 9003 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8845(a,2),8857(a,1))]. 9004 K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. [para(8154(a,1),8858(a,1))]. 9006 K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(8946(a,2),8858(a,1))]. 9007 K(x,L(K(y,z),u,w)) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8947(a,2),8858(a,1))]. 9008 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(80,a,8871,a(flip),b,5545,a),flip(a)]. 9009 K(x,y) * K(y * R(x,z,u),x) = x \ R(x,y,R(x,z,u)). [hyper(80,a,8871,a(flip),b,5220,a),flip(a)]. 9010 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(8871(a,1),5915(a,1,1)),flip(a)]. 9011 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(255,a,7424,a(flip),b,8968,a(flip)),flip(a)]. 9012 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(422,a,7420,a)]. 9013 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(7420(a,1),6693(a,1,1))]. 9014 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(255,a,7046,a(flip),b,9012,a(flip)),flip(a)]. 9015 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(255,a,7267,a(flip),b,7441,a(flip)),flip(a)]. 9017 K(x,K(y \ x,y) * z) = K(x,z). [para(18(a,1),9015(a,1,2)),flip(a)]. 9018 K(x,y * K(z \ x,z)) = K(x,y). [hyper(255,a,7680,a(flip),b,9017,a(flip)),flip(a)]. 9019 K(x * y,K(y,x) * z) = K(x * y,z). [para(18(a,1),9017(a,1,2,1,1))]. 9020 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5877(a,1),9017(a,1,2)),flip(a)]. 9022 K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)) = K(x,y \ z). [para(6967(a,1),9018(a,1,2)),flip(a)]. 9023 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(9019(a,1),5216(a,1,1,2))]. 9024 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(255,a,7164,a(flip),b,7515,a(flip)),flip(a)]. 9026 K(K(x \ y,x) * z,y) = K(z,y). [hyper(255,a,615,a(flip),b,9024,a(flip))]. 9028 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(9026(a,1),5252(a,2,2)),flip(a)]. 9029 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(255,a,8815,a(flip),b,7665,a)]. 9031 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(255,a,7208,a(flip),b,7687,a(flip))]. 9032 K(R(x,y,z),T(u,x * w)) = K(R(x,y,z),T(u,w)). [para(18(a,1),9031(a,1,2,2)),flip(a)]. 9033 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [para(9031(a,1),5382(a,1,1))]. 9034 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(454,a,7717,a)]. 9035 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(5175(a,1),7717(a,1,1)),flip(a)]. 9036 (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(7717(a,1),5543(a,1,1,2))]. 9037 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(255,a,7208,a(flip),b,9034,a(flip)),flip(a)]. 9038 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(255,a,6374,a(flip),b,9034,a(flip)),flip(a)]. 9039 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(9037(a,1),5263(a,2,1)),flip(a)]. 9040 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. [para(9037(a,1),5699(a,1,1,1)),flip(a)]. 9041 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(454,a,7718,a)]. 9042 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(255,a,7208,a(flip),b,9041,a(flip)),flip(a)]. 9043 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(255,a,8250,a(flip),b,9042,a(flip))]. 9044 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(255,a,8242,a(flip),b,9043,a(flip))]. 9046 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(9044(a,1),5292(a,2,1,1))]. 9047 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(255,a,5292,a,b,9046,a)]. 9048 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(422,a,7771,a)]. 9049 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(255,a,7046,a(flip),b,9048,a(flip)),flip(a)]. 9050 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(255,a,7009,a(flip),b,9048,a(flip)),flip(a)]. 9051 K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). [para(4534(a,1),9049(a,1,1))]. 9052 T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). [hyper(255,a,5252,a,b,7875,a)]. 9053 T(T(x,1 / y),K(z,1 / y)) = T(x,1 / T(y,z)). [hyper(8214,a,9052,a)]. 9054 T(x,1 / T(y,z)) != u | T(x,T(1 / y,z)) = u. [para(9052(a,1),8564(a,1))]. 9055 T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). [para(5788(a,1),9053(a,1,2))]. 9056 T(x / y,z) * T(y,K(z,x / y)) = x * K(x / y,z). [para(8193(a,1),7916(a,1,2))]. 9057 K(x,K(y,T(z,x * u))) = K(x,K(y,T(z,u))). [hyper(22,a,7654,a,b,7934,a),flip(a)]. 9058 K(x,K(y,T(z,x \ u))) = K(x,K(y,T(z,u))). [para(19(a,1),9057(a,1,2,2,2)),flip(a)]. 9059 K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). [hyper(255,a,8075,a(flip),b,8029,a(flip))]. 9060 K(x * (R(x,y,x) \ z),x) = K(z,x). [hyper(255,a,8033,a(flip),b,9059,a)]. 9061 K(R(x,y,x) * z,x) = K(x * z,x). [para(18(a,1),9060(a,1,1,2)),flip(a)]. 9062 K(x * R(y,z,y),y) = K(y * x,y). [hyper(255,a,8059,a(flip),b,9061,a(flip)),flip(a)]. 9063 T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). [para(9062(a,1),5291(a,2,2,2))]. 9064 T(x,y * R(x,z,x)) = T(x,x * y). [hyper(255,a,5291,a,b,9063,a)]. 9065 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(255,a,5252,a(flip),b,9064,a)]. 9066 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(5323,a,9065,a)]. 9067 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(255,a,8053,a,b,9066,a(flip)),flip(a)]. 9068 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(255,a,7432,a,b,9067,a(flip)),flip(a)]. 9069 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(6209(a,1),8117(a,1,1)),flip(a)]. 9070 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(8100(a,1),8118(a,1,1))]. 9071 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(6209(a,1),8157(a,1,2)),flip(a)]. 9072 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(255,a,9069,a,b,9071,a(flip)),flip(a)]. 9073 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(8134(a,1),9072(a,1,1))]. 9074 R(K(x,K(y,z)),y,u) = K(x,K(y,z)). [para(4395(a,1),9073(a,2,2))]. 9075 x * R(K(x,K(y,z)),u,w) = T(x,R(K(y,z),u,w)). [para(9073(a,2),5252(a,2,2)),flip(a)]. 9077 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [para(21(a,1),8167(a,1,2,1))]. 9078 K(x,T(y,T(y * z,u))) = K(x,T(y,T(z,u))). [para(8613(a,1),8226(a,1,2)),flip(a)]. 9079 K(x,T(y,T(y * x,z))) = K(x,y). [hyper(255,a,5642,a(flip),b,9078,a)]. 9080 K(x \ y,T(x,T(y,z))) = K(x \ y,x). [para(19(a,1),9079(a,1,2,2,1))]. 9081 K((1 / (T(x,y) \ z)) \ x,T(1 / (T(x,y) \ z),T(T(x,y),z))) = K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)). [para(7868(a,2),9080(a,1,2))]. 9082 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(255,a,8262,a(flip),b,8272,a)]. 9084 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(19(a,1),9082(a,1,2)),flip(a)]. 9085 R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). [hyper(255,a,6385,a,b,9084,a(flip)),flip(a)]. 9088 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(5608(a,1),9085(a,1,2)),flip(a)]. 9090 L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). [hyper(255,a,8261,a(flip),b,8273,a)]. 9092 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(255,a,7010,a(flip),b,9090,a(flip)),flip(a)]. 9093 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(127(a,1),9090(a,1,2))]. 9094 L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). [para(171(a,1),9090(a,1,2))]. 9095 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(169(a,1),9090(a,1,2)),flip(a)]. 9096 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(255,a,7046,a(flip),b,9093,a(flip)),flip(a)]. 9097 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [hyper(255,a,7032,a(flip),b,9093,a(flip))]. 9098 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(9093(a,1),112(a,1,2))]. 9099 L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). [para(5220(a,1),9093(a,1,2))]. 9101 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(7559(a,1),9092(a,1,2,2))]. 9102 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(9094(a,1),8946(a,1,2)),flip(a)]. 9103 L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). [hyper(255,a,8260,a(flip),b,8274,a)]. 9105 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(127(a,1),9103(a,1,2))]. 9106 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(169(a,1),9103(a,1,2)),flip(a)]. 9107 K(L(x,y,z),x * y) = K(x,x * y). [hyper(8037,a,9105,a),flip(a)]. 9108 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(255,a,6988,a(flip),b,9105,a(flip))]. 9109 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(5184(a,2),9105(a,1,2)),flip(a)]. 9110 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(8242(a,1),9105(a,1,1))]. 9111 K(L(x,x \ 1,y),z) = K(x,z). [hyper(255,a,322,a(flip),b,9106,a)]. 9112 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(255,a,8260,a(flip),b,9111,a(flip))]. 9113 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(255,a,8242,a(flip),b,9112,a(flip))]. 9115 L(K(x,y),K(z,x),u) = K(x,y). [hyper(255,a,9113,a(flip),b,9109,a(flip))]. 9117 L(R(K(x,y),z,u),K(w,x),v5) = R(K(x,y),z,u). [para(9115(a,1),49(a,1,1)),flip(a)]. 9118 L(L(K(x,y),z,u),K(w,x),v5) = L(K(x,y),z,u). [para(9115(a,1),50(a,1,1)),flip(a)]. 9119 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(9115(a,1),112(a,1,2))]. 9120 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(9115(a,1),428(a,1,2,1))]. 9122 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(9117(a,1),6695(a,1,2)),flip(a)]. 9125 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(9118(a,1),6695(a,1,2)),flip(a)]. 9126 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(6674,a,9119,a)]. 9127 R(x,K(y,z),K(z,u)) = x. [hyper(454,a,9119,a)]. 9128 (x * K(y,z)) * K(u,y) = x * (K(u,y) * K(y,z)). [hyper(255,a,7236,a,b,9119,a(flip)),flip(a)]. 9129 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(255,a,7065,a(flip),b,9119,a(flip))]. 9130 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(2075(a,2),9119(a,2,2))]. 9131 R(x,K(y,z),K(u,y)) = x. [hyper(255,a,7312,a,b,9127,a(flip)),flip(a)]. 9132 R(x,T(K(y,z),u),K(z,w)) = x. [para(1653(a,1),9127(a,1,2))]. 9133 (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). [para(9127(a,1),2733(a,1,1,1))]. 9134 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(6475(a,1),9127(a,1,2))]. 9135 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(9127(a,1),6649(a,1,1))]. 9137 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [para(9131(a,1),122(a,1,1)),flip(a)]. 9138 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u / K(x,y))). [para(9131(a,1),1389(a,1,2,2)),flip(a)]. 9139 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [para(9131(a,1),7235(a,1,1))]. 9140 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(5974(a,1),9132(a,1,3))]. 9141 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(9134(a,1),122(a,1,1)),flip(a)]. 9142 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(9134(a,1),489(a,1,1))]. 9143 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(9140(a,1),847(a,1,1)),flip(a)]. 9144 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(255,a,4502,a(flip),b,9135,a(flip))]. 9145 (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),w). [para(45(a,2),9135(a,1,2,2))]. 9146 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(9135(a,2),2081(a,1))]. 9148 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(255,a,5956,a,b,9144,a(flip)),flip(a)]. 9149 a(x,y / x,x) \ K(y,x) = K(x \ y,x). [para(9144(a,1),6670(a,1,1))]. 9150 a(x,y / x,x) * K(x,y) = K(x,x \ y). [para(9144(a,1),6689(a,1,1))]. 9151 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(18(a,1),9148(a,1,2,2)),flip(a)]. 9152 x \ R(x,T(y,x),x) = a(x,y,x). [para(167(a,1),9151(a,1,2)),flip(a)]. 9153 x \ R(x,y,x) = a(x,y,x). [para(4717(a,1),9152(a,1,2))]. 9154 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(5957,a,9153,a)]. 9155 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(5945,a,9153,a)]. 9156 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(255,a,7811,a,b,9153,a(flip)),flip(a)]. 9157 K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x). [hyper(255,a,7301,a,b,9153,a(flip)),flip(a)]. 9158 K(x,y) * K(y,y \ x) = a(y,y \ x,y). [hyper(255,a,5956,a(flip),b,9153,a(flip)),flip(a)]. 9159 x * a(x,y,x) = R(x,y,x). [para(9153(a,1),19(a,1,2))]. 9161 a(x,y,x) * x = R(x,y,x). [para(9153(a,1),4037(a,1,1))]. 9162 a(x,x \ (y \ x),x) = x \ R(x,y \ 1,x). [para(6310(a,1),9153(a,1,2)),flip(a)]. 9163 a(x,y,x) \ K(x * y,x) = K(y,x). [para(9153(a,1),6681(a,1,1))]. 9164 T(x * y,x) / x = y * a(x,y,x). [para(9153(a,1),6975(a,1,2)),flip(a)]. 9165 T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). [para(9153(a,1),7599(a,1,2)),flip(a)]. 9166 x \ R(x,y,x) != z | a(x,y,x) = z. [para(9159(a,1),222(a,1,2)),flip(b)]. 9167 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(5622,a,9154,a)]. 9168 K(x,x * y) * a(x,y,x) = K(x,y). [para(9154(a,1),5628(a,1,2))]. 9169 a(x,y,x) * (y * x) = T(x * y,x). [para(9154(a,1),7125(a,1,1))]. 9170 (x * y) * a(y,x,y) = T(y * x,y). [para(9154(a,1),7127(a,1,2))]. 9171 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(6674,a,9155,a)]. 9173 a(x,y \ 1,x) \ K(y \ x,x) = K(y \ 1,x). [para(5734(a,1),9163(a,1,2))]. 9174 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(255,a,1966,a,b,9164,a(flip)),flip(a)]. 9175 (x \ y) * a(x,x \ y,x) = T(y,x) / x. [para(19(a,1),9164(a,1,1,1)),flip(a)]. 9176 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(9164(a,1),129(a,1,1))]. 9177 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(9164(a,2),178(a,1,2,2))]. 9178 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(9164(a,2),423(a,1,2,2))]. 9179 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(9164(a,2),752(a,1,2,2,2))]. 9180 K(x,y) * K(x * y,x) != z | a(x,y,x) = z. [para(5726(a,2),9166(a,1))]. 9181 K(x,y) * a(y,x,y) = K(x * y,y). [hyper(255,a,5894,a,b,9167,a)]. 9182 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(19(a,1),9168(a,1,1,2))]. 9183 L(a(x,y,x),K(x,x * y),z) = (z * K(x,x * y)) \ (z * K(x,y)). [para(9168(a,1),33(a,2,2,2))]. 9184 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(9170(a,1),867(a,1,1,2))]. 9185 a(x,y,x) * K(y,x) = K(y * x,x). [hyper(255,a,5894,a,b,9171,a)]. 9186 (R(a(x,y,x),K(y,x),z * u) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). [para(9171(a,1),1388(a,1,2,1))]. 9187 a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(7123(a,1),9171(a,2,1))]. 9188 a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). [para(7881(a,1),9171(a,1,2))]. 9189 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(9156(a,1),4037(a,1,1))]. 9190 a(x,x \ y,x) = T(x,y) \ ((x \ y) \ y). [para(4560(a,1),9156(a,1,2)),flip(a)]. 9191 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(7890(a,1),9189(a,1,2)),flip(a)]. 9193 a(x,x \ (y \ x),x) = a(x,y \ 1,x). [hyper(255,a,9153,a(flip),b,9162,a)]. 9194 T(x,y \ x) \ ((x \ (y \ x)) \ (y \ x)) = a(x,y \ 1,x). [hyper(255,a,9190,a(flip),b,9193,a(flip)),flip(a)]. 9196 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(2075(a,2),9126(a,1,1,2))]. 9197 T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). [hyper(172,a,9130,a,b,565,a)]. 9199 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(6718(a,1),9130(a,1,1)),flip(a)]. 9200 L(K(x,y),K(y,z),u) = K(x,y). [hyper(422,a,9137,a)]. 9201 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(3217(a,1),9137(a,1,1))]. 9202 (x * K(y,z)) * (K(z,y) * K(u,z)) = x * K(u,z). [para(6672(a,1),9137(a,1,1)),flip(a)]. 9204 L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). [para(8242(a,1),9200(a,1,2))]. 9205 (x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))). [para(9204(a,1),112(a,1,2))]. 9208 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(23,a,9126,a,b,9196,a(flip)),flip(a)]. 9209 ((x * K(y,z)) / (x * K(u,z))) \ 1 = (K(z,u) * K(y,z)) \ K(K(z,u) * K(y,z),x * K(u,z)). [para(9202(a,1),5360(a,1,1,1))]. 9210 x / (K(y,z) * K(u,y)) = x * (K(z,y) * K(y,u)). [hyper(308,a,9208,a),flip(a)]. 9211 (x * (K(y,z) * K(u,y))) \ x = K(z,y) * K(y,u). [hyper(87,a,9208,a)]. 9212 (x * (K(y,z) * K(u,y))) * w != x | K(z,y) * K(y,u) = w. [para(9208(a,1),24(a,1)),flip(a)]. 9213 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(9208(a,1),304(a,1,1)),flip(b)]. 9214 x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)). [para(2075(a,1),9210(a,1,2))]. 9215 (x * (K(y,z) * K(u,y))) \ x = K(y,u) * K(z,y). [hyper(255,a,2075,a,b,9211,a)]. 9216 x / T((1 * (K(y,z) * K(u,y))) * x,K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. [para(9215(a,1),4423(a,1,2,2))]. 9217 (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). [para(5944(a,1),9129(a,1,2)),flip(a)]. 9218 R(x,y,x) \ x = x \ L(x,y,x). [hyper(7936,a,9217,a)]. 9219 x / R(x,y,x) = x \ L(x,y,x). [hyper(79,a,1952,a(flip),b,9217,a(flip)),flip(a)]. 9220 x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. [hyper(80,a,9218,a(flip),b,1308,a)]. 9221 (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9219(a,1),2886(a,1,1,2,1))]. 9222 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). [para(9220(a,1),5143(a,2,2))]. 9223 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(255,a,8904,a(flip),b,8301,a(flip)),flip(a)]. 9224 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(8593,a,9223,a),flip(a)]. 9226 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(9224(a,1),6670(a,1,1,2)),flip(a)]. 9227 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(255,a,6670,a(flip),b,9226,a)]. 9228 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(8486(a,1),9227(a,1,2,1))]. 9229 K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). [hyper(255,a,8066,a(flip),b,9228,a)]. 9230 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(255,a,8894,a(flip),b,8317,a(flip)),flip(a)]. 9231 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(8560,a,9230,a),flip(a)]. 9233 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(7231(a,1),9231(a,1,1,2)),flip(a)]. 9234 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(7525(a,1),9233(a,1,1,2,1))]. 9235 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [para(7527(a,1),9233(a,1,1,2,1)),flip(a)]. 9236 K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). [para(457(a,1),9234(a,1,1))]. 9237 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(255,a,8769,a(flip),b,8327,a(flip)),flip(a)]. 9239 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(255,a,8263,a(flip),b,9237,a(flip))]. 9240 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(1562(a,1),9239(a,1,2,2))]. 9241 K(x,y / (z * K(x,u))) = K(x,y / z). [para(6672(a,1),9239(a,1,2,2)),flip(a)]. 9242 K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). [para(7231(a,1),9241(a,1,2,2)),flip(a)]. 9243 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(104(a,1),9242(a,1,2,2,1))]. 9244 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(263(a,1),9242(a,1,2,2,1))]. 9245 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(7525(a,1),9242(a,1,2,2,1))]. 9246 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(7527(a,1),9242(a,1,2,2,1)),flip(a)]. 9247 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,(((y * K(z,x)) * u) * w) / (u * w)). [para(457(a,1),9245(a,1,2))]. 9248 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(5217(a,1),8328(a,1,1,1,2))]. 9249 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(8107,a,8352,a),flip(a)]. 9250 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(18(a,1),9249(a,1,2,2)),flip(a)]. 9252 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(8242(a,1),8404(a,1,1)),flip(a)]. 9253 (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). [para(9252(a,1),5898(a,1,1))]. 9255 K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)). [hyper(255,a,8138,a,b,8410,a)]. 9256 (K(x,y) * T(z,u)) / T(K(x,y),z) = (z * (K(x,y) * K(z,u))) * K(y,x). [hyper(255,a,8519,a,b,8415,a),flip(a)]. 9257 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(8164,a,8500,a),flip(a)]. 9258 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(6562,a,9257,a),flip(a)]. 9259 T(x * K(L(y \ 1,z,u) \ 1,w),K(w,v5)) = T(x,K(w,v5)) * L(K(y,w),z,u). [para(6475(a,1),9257(a,2,2))]. 9260 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(9257(a,2),6670(a,1,1))]. 9261 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(8141(a,1),9258(a,1,1)),flip(a)]. 9262 T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). [para(6672(a,1),9260(a,1,1,1))]. 9263 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [para(9262(a,1),19(a,1,2)),flip(a)]. 9264 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(6562,a,9263,a),flip(a)]. 9265 T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). [hyper(255,a,8378,a(flip),b,9263,a)]. 9266 T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. [para(9265(a,2),24(a,1))]. 9267 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(8530,a,8532,a),flip(a)]. 9268 K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). [hyper(255,a,8595,a(flip),b,8590,a)]. 9269 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(255,a,9031,a(flip),b,8594,a)]. 9270 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(123(a,1),9269(a,1,1)),flip(a)]. 9271 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(8611(a,2),7895(a,1))]. 9272 T(T(x,K(y,z)),(y \ z) \ 1) = T(x,(z / y) \ 1). [hyper(255,a,8875,a(flip),b,8632,a)]. 9273 T(T(x,K(y,z)),(y \ z) \ 1) = T(x,y / z). [hyper(255,a,4661,a(flip),b,9272,a)]. 9274 T(T(x,K(y,z)),z \ y) = T(x,y / z). [hyper(6852,a,9273,a)]. 9275 T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [para(5808(a,1),9274(a,1,1,2))]. 9276 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(8198(a,1),9274(a,1,1)),flip(a)]. 9277 T(T(x,y / z),K(z,y)) = T(x,z \ y). [hyper(8204,a,9276,a)]. 9278 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(8135(a,1),8639(a,2,2))]. 9279 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(5037(a,2),8643(a,1,2))]. 9280 T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). [hyper(255,a,5291,a,b,8646,a)]. 9281 T(x,(y \ 1) \ (x \ z)) = x * K(x,(y \ x) \ z). [hyper(8086,a,9280,a),flip(a)]. 9282 K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). [hyper(5323,a,9281,a)]. 9283 K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). [para(18(a,1),9282(a,1,2,2)),flip(a)]. 9284 K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). [hyper(255,a,7701,a,b,9283,a(flip)),flip(a)]. 9285 T(K(x,y),z / (1 / y)) = T(K(x,y),z * y). [hyper(255,a,8649,a(flip),b,8651,a(flip))]. 9286 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). [para(6591(a,2),8656(a,2,2,2)),flip(a)]. 9287 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(18(a,1),8743(a,1,1,1,1)),flip(a)]. 9288 K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). [hyper(255,a,7566,a,b,8827,a(flip)),flip(a)]. 9289 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(4524(a,1),8828(a,1,2,1))]. 9290 T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). [hyper(255,a,9285,a(flip),b,8862,a(flip)),flip(a)]. 9291 K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). [hyper(255,a,6952,a(flip),b,9290,a(flip))]. 9292 L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(8888(a,1),439(a,1,1,1))]. 9293 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(255,a,6670,a(flip),b,8925,a)]. 9294 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(19(a,1),9293(a,1,1,1)),flip(a)]. 9295 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(9294(a,1),5291(a,2,2,2)),flip(a)]. 9296 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(255,a,8138,a(flip),b,8928,a)]. 9297 K(x,T(y \ T(T(x,z),u),w)) = K(T(x,w),y \ T(x,u)). [hyper(255,a,7542,a,b,8971,a)]. 9298 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [hyper(255,a,8970,a(flip),b,8971,a)]. 9300 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(9023(a,1),6713(a,1,2)),flip(a)]. 9301 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(6621,a,9028,a),flip(a)]. 9302 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(5375(a,1),9301(a,2,1))]. 9303 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5383,a,9033,a),flip(a)]. 9304 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1951(a,2),9035(a,1,2))]. 9305 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(255,a,8061,a(flip),b,9038,a)]. 9306 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(255,a,47,a,b,9039,a)]. 9307 T(x / y,z) * T(y,K(x,z)) = x * K(x / y,z). [para(8390(a,1),9056(a,1,2))]. 9308 T(x / y,z) * T(y,K(x,z)) != x * u | K(x / y,z) = u. [para(9307(a,2),24(a,1))]. 9309 T(x / T(y,x),z) * T(T(y,x),K(x,z)) = x * K(T(x,y) / y,z). [para(4456(a,2),9307(a,2,2,1))]. 9310 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(255,a,8440,a(flip),b,9070,a)]. 9311 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(9070(a,2),8173(a,1,1))]. 9312 R(K(x,K(y,z)),u,w) = K(x,K(z,R(y,u,w))). [para(8439(a,1),9310(a,1,1))]. 9313 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(8440(a,1),9310(a,1,1))]. 9314 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(8444(a,1),9310(a,1,1))]. 9315 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(255,a,9073,a(flip),b,9312,a(flip)),flip(a)]. 9316 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [hyper(255,a,9074,a(flip),b,9313,a(flip))]. 9317 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(255,a,9073,a(flip),b,9313,a(flip)),flip(a)]. 9318 x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). [para(9313(a,2),5252(a,2,2)),flip(a)]. 9319 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(6454(a,1),9315(a,1,2)),flip(a)]. 9320 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [hyper(255,a,9075,a(flip),b,9318,a(flip)),flip(a)]. 9321 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(255,a,9101,a(flip),b,9099,a)]. 9323 L(K(x,L(y,x,z)),T(y,u) * w,v5) = K(L(x,y,z),L(y,w,v5)). [para(9096(a,1),9321(a,1,1))]. 9324 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). [para(445(a,1),9102(a,1,2,2)),flip(a)]. 9325 L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). [hyper(255,a,8260,a(flip),b,9110,a)]. 9327 K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). [para(19(a,1),9325(a,1,2)),flip(a)]. 9328 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(9327(a,2),323(a,1)),flip(b)]. 9329 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(9112(a,2),9328(a,1))]. 9330 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(43(a,1),9329(a,1,2))]. 9331 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(45(a,2),9329(a,1,1))]. 9334 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(47(a,2),9329(a,1,2))]. 9335 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(129(a,1),9329(a,1,2))]. 9337 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(773(a,1),9329(a,1,1))]. 9339 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7542(a,1),9329(a,1))]. 9340 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(129(a,1),9339(a,1,2,1))]. 9342 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(7849(a,1),9339(a,1))]. 9343 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(8253(a,2),9339(a,1))]. 9344 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(8254(a,1),9339(a,1))]. 9348 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(7592(a,1),9342(a,1))]. 9349 K(x \ (x * y),z) != u | K(y,z) = u. [para(7584(a,1),9343(a,1))]. 9352 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(5889(a,1),9349(a,1))]. 9354 K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. [para(138(a,1),9344(a,1,2))]. 9355 K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w. [para(5007(a,1),9344(a,1,1))]. 9356 L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. [para(9110(a,2),9331(a,1))]. 9357 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(8272(a,2),9334(a,1))]. 9359 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(126(a,1),9357(a,1,2,1))]. 9360 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(255,a,7027,a(flip),b,9199,a)]. 9361 (x / y) * a(y,z,y) = x / L(y,z,y). [para(9154(a,1),9360(a,1,2))]. 9362 L(x,y,x) \ x = a(x,y,x). [hyper(22,a,7133,a,b,9361,a),flip(a)]. 9363 (x * y) / L(y,z,y) = x * a(y,z,y). [para(20(a,1),9361(a,1,1)),flip(a)]. 9364 L(x,y,x) \ x = x \ R(x,y,x). [hyper(255,a,9153,a,b,9362,a)]. 9365 L(x,y,x) \ 1 = x \ a(x,y,x). [hyper(80,a,9362,a(flip),b,1424,a),flip(a)]. 9366 a(x,y,x) \ x = L(x,y,x). [para(9362(a,1),6466(a,1,1))]. 9367 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(255,a,7262,a,b,9364,a(flip)),flip(a)]. 9368 K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(9365(a,1),7207(a,1,1,2))]. 9369 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(255,a,1836,a(flip),b,9363,a(flip)),flip(a)]. 9370 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [para(9363(a,1),73(a,1,1))]. 9371 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(255,a,7739,a(flip),b,9369,a(flip)),flip(a)]. 9372 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(20(a,1),9369(a,1,1)),flip(a)]. 9373 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(730(a,1),9370(a,1,2))]. 9374 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(255,a,8751,a,b,9371,a(flip)),flip(a)]. 9375 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(255,a,1423,a,b,9371,a(flip)),flip(a)]. 9376 K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z). [para(9371(a,1),5272(a,1,2))]. 9377 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(9375(a,1),19(a,1,2))]. 9378 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(21(a,1),9377(a,1,2)),flip(a)]. 9379 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(22,a,1421,a,b,9378,a),flip(a)]. 9380 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(80,a,9379,a(flip),b,7741,a(flip))]. 9381 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(9374(a,2),24(a,1))]. 9382 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(9374(a,1),5226(a,1,2))]. 9383 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(9248(a,1),21(a,1,1))]. 9384 K(x,K(y,z \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x). [para(9255(a,1),6784(a,1,1))]. 9385 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(5406,a,9295,a),flip(a)]. 9386 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(255,a,7518,a,b,9385,a(flip)),flip(a)]. 9387 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(80,a,9306,a(flip),b,5550,a),flip(a)]. 9388 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(9306(a,1),7455(a,1,1,2)),flip(a)]. 9389 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(9383(a,1),5605(a,1,2))]. 9391 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(6006(a,1),9389(a,1,2,1,2,2)),flip(a)]. 9392 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(9235(a,1),9389(a,1,2,1,2,2)),flip(a)]. 9393 L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x). [para(8188(a,1),7529(a,1,1)),flip(a)]. 9394 L(x,T(y,K(x,z)),x) = L(x,y,x). [hyper(255,a,5707,a(flip),b,9393,a)]. 9396 L(x,T(y,T(x,z)),x) = L(x,y,x). [hyper(255,a,7865,a(flip),b,9394,a(flip)),flip(a)]. 9398 L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). [para(129(a,1),9396(a,1,2)),flip(a)]. 9399 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(7539(a,2),7543(a,1,1))]. 9400 K(x,R(T(y,z * u),y \ z,u)) = K(x,((y \ z) * u) \ (z * u)). [para(70(a,1),7619(a,1,2,1,1))]. 9401 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). [para(6102(a,1),7734(a,1,2,1))]. 9402 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(255,a,493,a(flip),b,7889,a(flip))]. 9403 K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). [para(9402(a,2),6536(a,1,2))]. 9404 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(255,a,7542,a(flip),b,7926,a)]. 9405 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(255,a,5253,a(flip),b,7968,a)]. 9406 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(7525(a,1),9405(a,1,2))]. 9407 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(6475(a,1),9406(a,1,2,1))]. 9409 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(8013(a,1),7993(a,2,2))]. 9410 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(255,a,5946,a(flip),b,9409,a)]. 9412 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(9166,a,9410,a)]. 9413 a(x,y * K(x,z),x) != u | a(x,y,x) = u. [para(9412(a,2),9166(a,1))]. 9414 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [hyper(255,a,4983,a(flip),b,8078,a)]. 9415 L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). [para(7544(a,1),8299(a,1,1))]. 9416 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7559(a,1),8304(a,1,1,2)),flip(a)]. 9417 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(9330,a,8597,a),flip(a)]. 9419 K(x,K(y,z)) * (K(z,x) * u) != w | K(z,T(x,y)) * u = w. [para(8134(a,1),8698(a,1,1))]. 9420 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(5807(a,1),8739(a,1,2))]. 9421 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(574(a,1),8771(a,1,2))]. 9422 K(x,a(K(x,y),z,u)) = 1. [hyper(255,a,5981,a(flip),b,9421,a(flip))]. 9424 T(x,a(K(x,y),z,u)) = x. [hyper(42,a,9422,a)]. 9425 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(40,a,9424,a)]. 9426 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(9424(a,1),43(a,1,1)),flip(a)]. 9427 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(9424(a,1),127(a,1,2))]. 9428 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(9424(a,1),7525(a,1,2,1)),flip(a)]. 9429 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(9425(a,1),7525(a,1,2,1)),flip(a)]. 9430 x * (y * K(z,K(u,x * y))) != w | T(x * y,K(z,L(u,y,x))) = w. [para(8846(a,1),8142(a,1))]. 9431 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(255,a,8975,a(flip),b,8856,a(flip)),flip(a)]. 9432 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(8912(a,1),8100(a,1,1)),flip(a)]. 9433 K(x,L(x,y,y \ 1) \ z) = K(x,x \ z). [para(133(a,1),8930(a,1,2)),flip(a)]. 9435 K((x \ 1) \ y,((x \ 1) \ y) \ z) = K((x \ 1) \ y,(x * y) \ z). [para(3064(a,1),9433(a,1,2,1)),flip(a)]. 9436 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(255,a,9135,a,b,9000,a(flip)),flip(a)]. 9437 K(x,y) * (y \ R(y,x,L(y,z,u))) = K(x * L(y,z,u),y). [para(9000(a,1),5626(a,1,2))]. 9438 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(255,a,9135,a,b,9008,a(flip)),flip(a)]. 9439 x \ R(x,y,R(x,z,u)) != w | K(y * R(x,z,u),x) * K(x,y) = w. [para(9009(a,1),2076(a,1))]. 9440 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(7509(a,1),9098(a,2,2))]. 9441 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(424(a,1),9108(a,2,2))]. 9442 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(9339,a,9270,a)]. 9443 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(6587,a,9399,a)]. 9444 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(255,a,8716,a(flip),b,9443,a)]. 9445 K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. [para(9443(a,2),8730(a,1))]. 9446 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(18(a,1),9444(a,1,2,1,1)),flip(a)]. 9447 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(4524(a,1),9446(a,1,2,1)),flip(a)]. 9448 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(4597(a,2),9446(a,1,2,1)),flip(a)]. 9449 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(255,a,9037,a(flip),b,9404,a(flip)),flip(a)]. 9451 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(21(a,1),9449(a,1,2,2)),flip(a)]. 9452 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(255,a,8558,a(flip),b,9451,a(flip)),flip(a)]. 9454 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(18(a,1),9452(a,1,2,2)),flip(a)]. 9455 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(149(a,1),9452(a,1,2,2)),flip(a)]. 9456 K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). [hyper(9342,a,9454,a),flip(a)]. 9457 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(255,a,8115,a,b,9454,a)]. 9459 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(255,a,8840,a,b,9455,a(flip)),flip(a)]. 9460 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(129(a,1),9459(a,1,2)),flip(a)]. 9461 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8356,a,9457,a)]. 9462 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(9457(a,2),8353(a,1))]. 9463 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(19(a,1),9461(a,1,2,2)),flip(a)]. 9464 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(122(a,1),9461(a,1,2,2))]. 9465 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(8504,a,9463,a)]. 9466 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(73(a,1),9465(a,1,2,2)),flip(a)]. 9467 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(8502,a,9466,a),flip(a)]. 9468 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(8136,a,9464,a)]. 9469 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(9464(a,1),8170(a,1,1))]. 9470 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(332(a,1),9462(a,1,2,2,1))]. 9471 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(8433,a,9469,a),flip(a)]. 9472 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(19(a,1),9471(a,1,2,2,1)),flip(a)]. 9473 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(9470,a,9472,a),flip(a)]. 9474 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(21(a,1),9473(a,1,2,2)),flip(a)]. 9475 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(19(a,1),9414(a,1,2,2)),flip(a)]. 9476 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(255,a,9014,a(flip),b,9417,a(flip)),flip(a)]. 9478 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(255,a,8999,a(flip),b,9476,a(flip)),flip(a)]. 9479 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(19(a,1),9476(a,1,2,2)),flip(a)]. 9480 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(255,a,7913,a,b,9479,a(flip)),flip(a)]. 9482 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(483(a,1),9480(a,1,2,2))]. 9484 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(255,a,8418,a(flip),b,9478,a(flip)),flip(a)]. 9485 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(19(a,1),9484(a,1,2,2,2)),flip(a)]. 9486 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(9485(a,1),9340(a,1))]. 9487 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(8247,a,9420,a)]. 9488 (x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(5057(a,2),9440(a,2,2))]. 9489 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(255,a,7641,a(flip),b,9442,a),flip(a)]. 9490 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(73(a,1),9489(a,1,1,1)),flip(a)]. 9491 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(20(a,1),9490(a,1,1,2)),flip(a)]. 9493 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(9359,a,9491,a),flip(a)]. 9494 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(8016(a,1),9491(a,1,1))]. 9495 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(9491(a,1),9359(a,1))]. 9496 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [para(9493(a,2),5252(a,2,2)),flip(a)]. 9497 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(7571(a,2),8690(a,1))]. 9498 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(255,a,7542,a(flip),b,7579,a)]. 9499 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. [para(7579(a,2),7899(a,1))]. 9500 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(7542(a,1),7612(a,1,1,2))]. 9501 R(K(x,y),T(T(y,z),u),w) = K(x,y). [hyper(5091,a,7674,a)]. 9502 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(z,x) \ u. [para(9501(a,1),679(a,1,1)),flip(a)]. 9503 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(8612,a,7693,a)]. 9504 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(8346,a,9503,a),flip(a)]. 9505 (T(T(x,y),z) \ 1) * T(x,y) = (x \ 1) * (x * K(z,T(x,y))). [hyper(255,a,5989,a(flip),b,7697,a(flip)),flip(a)]. 9507 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x). [hyper(255,a,396,a(flip),b,7831,a)]. 9508 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5556(a,1),7966(a,1,2))]. 9509 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5556(a,1),9508(a,2,2))]. 9510 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(9509(a,1),418(a,1,2)),flip(a)]. 9511 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(4458(a,1),9510(a,1,2,1))]. 9512 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(4458(a,1),9511(a,2,2,2))]. 9513 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(9512(a,1),4492(a,1,1))]. 9514 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(6929,a,7975,a)]. 9515 (x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x. [para(5392(a,1),8092(a,1,2,2))]. 9517 (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). [para(8254(a,1),8316(a,1,1)),flip(a)]. 9518 K(1 / x,y) / (x \ 1) = x * K(1 / x,y). [hyper(302,a,9517,a),flip(a)]. 9519 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). [hyper(255,a,6356,a(flip),b,9518,a(flip)),flip(a)]. 9520 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(5417(a,1),9519(a,1,2))]. 9521 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(6003(a,1),9520(a,2,2))]. 9522 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(7699,a,8325,a)]. 9523 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(6728(a,2),9522(a,1,2,1))]. 9524 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(22,a,8637,a,b,8357,a)]. 9525 K(x,K(y,z \ (u * x))) = K(y,K(x,z \ u)). [hyper(8136,a,9524,a)]. 9526 K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). [hyper(255,a,8134,a,b,9524,a)]. 9527 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1303(a,1),9524(a,1,2,2))]. 9528 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(7802(a,1),9524(a,1,2)),flip(a)]. 9529 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(255,a,8134,a,b,9525,a)]. 9530 K(x,K(T(y,z),u \ (y * z))) = K(T(y,z),K(x,u \ z)). [para(127(a,1),9526(a,1,2,2,2))]. 9531 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(255,a,9504,a,b,9529,a(flip)),flip(a)]. 9532 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(9529(a,1),8454(a,1,2)),flip(a)]. 9533 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(255,a,8431,a(flip),b,9531,a(flip)),flip(a)]. 9534 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(8504,a,9533,a)]. 9535 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [para(9533(a,1),8115(a,1,2))]. 9536 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(255,a,9296,a,b,9534,a(flip)),flip(a)]. 9537 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(8176,a,9536,a)]. 9538 K(x,K(y,T(z \ (y * u),u))) = K(T(y,u),K(x,z \ u)). [para(7542(a,1),9530(a,1,2))]. 9539 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [hyper(8353,a,9535,a),flip(a)]. 9540 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(255,a,8554,a(flip),b,9539,a(flip)),flip(a)]. 9541 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [para(18(a,1),9539(a,1,2,2,1)),flip(a)]. 9542 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(19(a,1),9540(a,1,2,2,2)),flip(a)]. 9543 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(29(a,2),9541(a,1,2,2)),flip(a)]. 9544 K(T(x,y),K(z,u \ y)) = K(z,K(x,(x * y) / u)). [para(8307(a,1),9538(a,1,2)),flip(a)]. 9545 K(T(x,y),K(z,u \ y)) = K(x,K(z,(x * y) / u)). [hyper(255,a,8134,a,b,9544,a)]. 9546 K(x,K(T(y,z),u \ z)) = K(y,K(x,(y * z) / u)). [hyper(8136,a,9545,a)]. 9547 K(x,K(y,(x * z) / u)) = K(y,K(x,z / u)). [para(8257(a,1),9546(a,1,2)),flip(a)]. 9548 K(x,K(y,(x * z) / u)) != w | K(x,K(y,z / u)) = w. [para(9547(a,2),8136(a,1))]. 9549 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(574(a,1),9543(a,1,2,2))]. 9550 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(9337,a,9549,a),flip(a)]. 9551 K(x,y / a(x,z,u)) = K(x,a(x,z,u) \ y). [hyper(9340,a,9550,a)]. 9553 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(9550(a,1),5252(a,2,2))]. 9554 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(255,a,5252,a,b,9553,a)]. 9555 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(9554(a,1),8868(a,1,1,1))]. 9556 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(K(y,x),w) * (K(y,x) * T(z * K(x,y),u)). [para(8384(a,1),8095(a,1,2)),flip(a)]. 9557 T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). [hyper(255,a,8289,a(flip),b,8414,a(flip))]. 9558 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(9357,a,8416,a),flip(a)]. 9560 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(5194(a,1),9558(a,1,2,2)),flip(a)]. 9561 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(7559(a,1),9558(a,1,2,2))]. 9562 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(255,a,6383,a,b,9560,a(flip)),flip(a)]. 9563 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(19(a,1),9562(a,1,2))]. 9564 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(9561(a,1),6670(a,1,1,2)),flip(a)]. 9565 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(4038(a,1),9563(a,2,2))]. 9566 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(255,a,6670,a(flip),b,9564,a)]. 9567 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(255,a,7210,a(flip),b,9566,a(flip)),flip(a)]. 9568 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(5608(a,1),9566(a,1,1,2)),flip(a)]. 9570 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(255,a,7206,a(flip),b,9567,a)]. 9571 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(5288(a,1),9570(a,1,2))]. 9573 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(9571(a,1),6460(a,1,1))]. 9574 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(9573(a,1),25(a,1)),flip(a)]. 9575 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * (z / (T(y,y \ 1) * z)),y \ 1). [para(596(a,1),8583(a,1,1,2,1)),flip(a)]. 9576 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(255,a,6055,a(flip),b,8591,a)]. 9577 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(80,a,9576,a(flip),b,5220,a)]. 9578 K(x,a(x,y,y \ 1) \ (z \ R(x,y,y \ 1))) = K(x,z \ x). [hyper(255,a,9551,a(flip),b,8721,a(flip)),flip(a)]. 9579 T(K(x,y) * T(z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). [para(6839(a,1),8733(a,1,1,2))]. 9580 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(255,a,6780,a(flip),b,8735,a(flip))]. 9581 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(5146(a,1),8746(a,2,1)),flip(a)]. 9582 (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(8793(a,1),5897(a,1,2,1))]. 9583 K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). [hyper(255,a,7270,a(flip),b,8795,a)]. 9585 K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). [hyper(255,a,6995,a(flip),b,9583,a(flip)),flip(a)]. 9586 K(x,y \ (z * (x / z))) = K(x,y \ x). [para(5271(a,1),9585(a,1,2,2))]. 9587 K(x,y \ ((z \ x) * z)) = K(x,y \ x). [para(70(a,1),9586(a,1,2,2,2))]. 9588 K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. [para(9587(a,1),7022(a,1))]. 9589 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(8687,a,8836,a),flip(a)]. 9590 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(255,a,7870,a(flip),b,9589,a(flip))]. 9591 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(255,a,8436,a(flip),b,8842,a)]. 9592 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(73(a,1),9591(a,1,2,2,1,2))]. 9593 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(255,a,5807,a(flip),b,9592,a(flip)),flip(a)]. 9594 K(T(x,y * (z * K(u,w))),w) = K(x,T(w,y * z)). [hyper(255,a,7578,a(flip),b,8913,a)]. 9596 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(255,a,7275,a(flip),b,8921,a(flip))]. 9597 K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). [hyper(6693,a,8931,a),flip(a)]. 9598 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(255,a,8892,a(flip),b,9597,a(flip)),flip(a)]. 9599 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(9598(a,1),5291(a,2,2,2)),flip(a)]. 9600 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7539(a,2),8956(a,1,2))]. 9601 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). [hyper(255,a,8368,a(flip),b,9055,a(flip)),flip(a)]. 9602 T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). [para(129(a,1),9055(a,2,2,2))]. 9603 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). [hyper(255,a,8527,a(flip),b,9602,a(flip)),flip(a)]. 9604 T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). [hyper(255,a,9601,a(flip),b,9603,a(flip)),flip(a)]. 9605 T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). [hyper(9054,a,9604,a)]. 9606 T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). [para(70(a,1),9605(a,1,2,1,2)),flip(a)]. 9607 T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). [hyper(255,a,8644,a(flip),b,9606,a(flip))]. 9608 T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). [hyper(255,a,8629,a,b,9607,a(flip)),flip(a)]. 9609 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(9164(a,1),9174(a,1,1)),flip(a)]. 9610 x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). [hyper(255,a,2212,a(flip),b,9222,a)]. 9611 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [para(5552(a,1),9610(a,1,2))]. 9612 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(7434(a,1),9611(a,1,2)),flip(a)]. 9613 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(255,a,7481,a,b,9612,a(flip)),flip(a)]. 9614 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(9613(a,1),7632(a,1,1,2,1))]. 9615 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(255,a,9011,a(flip),b,9287,a(flip))]. 9616 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(9303(a,1),9289(a,2,2))]. 9617 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(255,a,8828,a,b,9616,a),flip(a)]. 9618 T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). [hyper(255,a,8865,a(flip),b,9617,a(flip))]. 9619 T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). [hyper(255,a,8958,a,b,9618,a(flip)),flip(a)]. 9620 T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). [para(128(a,1),9619(a,1,2,1))]. 9621 T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). [para(7102(a,1),9620(a,1,2,1,1))]. 9622 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(5375(a,1),9302(a,1,1,1))]. 9623 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(6559,a,9622,a),flip(a)]. 9624 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(9623(a,2),178(a,1,2,2))]. 9625 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(9623(a,2),430(a,2,2))]. 9626 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(8439(a,1),9311(a,1,1,1)),flip(a)]. 9627 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(9073(a,1),9626(a,2,1))]. 9628 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(255,a,5263,a,b,9627,a)]. 9629 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(255,a,8507,a(flip),b,9628,a(flip))]. 9630 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(255,a,9320,a(flip),b,9629,a(flip))]. 9631 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(592(a,1),9630(a,1,2,2)),flip(a)]. 9632 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(9630(a,1),9258(a,2,2))]. 9633 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [hyper(225,a,9403,a)]. 9634 L(K(x,y),z,x \ 1) = K(x,y). [hyper(422,a,9633,a)]. 9636 ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). [para(9633(a,1),6670(a,1,1))]. 9637 L(K(x \ 1,y),z,x) = K(x \ 1,y). [hyper(255,a,3963,a(flip),b,9634,a(flip)),flip(a)]. 9638 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(6468,a,9637,a)]. 9640 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(9637(a,1),112(a,1,2))]. 9641 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(4816(a,1),9638(a,1,1,1)),flip(a)]. 9642 R(K(x,y),z,x \ 1) = K((x \ 1) \ 1,y). [hyper(255,a,6209,a(flip),b,9641,a(flip)),flip(a)]. 9643 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(9641(a,1),6207(a,1,1)),flip(a)]. 9644 R(K(x,y),z,x \ 1) = K(x,y). [hyper(255,a,3312,a(flip),b,9642,a)]. 9645 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(9359,a,9644,a)]. 9646 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [para(9644(a,1),122(a,1,1)),flip(a)]. 9648 T(x,R(y,z,x \ 1)) = x * K(x,y). [para(9645(a,1),5252(a,2,2))]. 9649 R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). [para(9645(a,1),5986(a,1,2)),flip(a)]. 9650 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(255,a,5252,a,b,9648,a)]. 9651 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(685(a,1),9650(a,1,2))]. 9652 L(K(x,y),z,y \ 1) = K(x,y). [hyper(7086,a,9636,a)]. 9653 K(L(x,y,z \ 1),z) = K(x,z). [hyper(9356,a,9652,a)]. 9656 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(255,a,7035,a(flip),b,9652,a(flip)),flip(a)]. 9657 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [hyper(255,a,8312,a(flip),b,9653,a(flip)),flip(a)]. 9658 R(x,y,K(x \ 1,z)) = x. [hyper(454,a,9640,a)]. 9660 R(T(x,y),z,K(x \ 1,u)) = T(x,y). [para(9658(a,1),47(a,2,1))]. 9662 T(x,y * K(x \ 1,z)) = T(x,y). [hyper(255,a,6353,a(flip),b,9660,a(flip))]. 9664 K(x,y * K(x \ 1,z)) = x \ T(x,y). [hyper(80,a,9662,a(flip),b,5252,a(flip)),flip(a)]. 9666 T(x,K(x \ 1,y) * z) = T(x,z). [para(7559(a,1),9662(a,1,2))]. 9667 T(x,K(y,x \ 1) * z) = T(x,z). [para(7572(a,1),9662(a,1,2)),flip(a)]. 9668 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(7647(a,1),9662(a,1,2))]. 9669 T(x \ 1,K(x,y) * z) = T(x \ 1,z). [para(3312(a,1),9666(a,1,2,1))]. 9670 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(6053(a,1),9666(a,1,2)),flip(a)]. 9671 T(x,K(y,1 / x) * z) = T(x,z). [para(3707(a,2),9667(a,1,2,1))]. 9672 K(K(x,1 / y) * z,y) = y / T(y,z). [para(9671(a,1),5182(a,2,2))]. 9673 K(x,y * K(x \ 1,z)) = K(x,y). [hyper(255,a,5186,a,b,9664,a)]. 9675 K(x,y * K(z,x \ 1)) = K(x,y). [para(6672(a,1),9673(a,1,2)),flip(a)]. 9676 K(x,K(x \ 1,y) * z) = K(x,z). [para(7559(a,1),9673(a,1,2))]. 9677 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(7647(a,1),9673(a,1,2))]. 9678 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(6580(a,1),9675(a,1,2,2))]. 9679 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (T(K(x,y),z) * T(x \ 1,z)). [para(9669(a,1),834(a,1,2,2)),flip(a)]. 9681 K(K(x,1 / y) * z,y) = K(z,y). [hyper(255,a,5182,a,b,9672,a)]. 9682 K(K(x,y \ 1) * z,y) = K(z,y). [para(3707(a,1),9681(a,1,1,1))]. 9685 K(T(x,y \ 1) \ z,y) = K(x \ z,y). [para(5536(a,1),9682(a,1,1)),flip(a)]. 9686 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5658(a,1),9682(a,1,1,1))]. 9687 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(6025(a,1),9682(a,1,1))]. 9688 K(x * K(y,z \ 1),z) = K(x,z). [para(7627(a,1),9682(a,1,1))]. 9690 K(x * K(y,z \ u),u \ z) = K(x,u \ z). [para(6580(a,1),9688(a,1,1,2))]. 9692 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). [para(9677(a,1),6989(a,1,1))]. 9693 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(6576(a,1),9678(a,1,2))]. 9694 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(6053(a,1),9686(a,1,1)),flip(a)]. 9695 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(6576(a,1),9690(a,1,1))]. 9696 L(x,y,K(x \ 1,z)) = x. [hyper(422,a,9643,a)]. 9699 L(x \ 1,y,K(x,z)) = x \ 1. [para(3312(a,1),9696(a,1,3))]. 9700 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(9699(a,1),822(a,1,1)),flip(a)]. 9704 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(229,a,9646,a)]. 9705 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(172,a,9646,a,b,6533,a)]. 9706 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(9693(a,2),6770(a,2,2))]. 9707 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(9695(a,2),6638(a,2,2))]. 9708 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(45(a,2),9705(a,2,2))]. 9709 R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). [hyper(255,a,3146,a(flip),b,9649,a)]. 9710 x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). [hyper(80,a,9709,a,b,5686,a)]. 9711 T(T(x * K(y * T(x,z),x),u),w) \ T(T(x,u),w) = K(x,T(T(T(x,z) * y,w),u)). [para(8031(a,1),9498(a,1,1,1,1,2))]. 9712 (x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))). [hyper(255,a,9205,a(flip),b,9500,a)]. 9713 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(x,z) * u. [hyper(255,a,5600,a(flip),b,9502,a)]. 9714 (T(T(x,y),z) \ 1) * T(x,z) = (x \ 1) * (x * K(y,T(x,z))). [para(43(a,1),9505(a,1,1,1))]. 9715 K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x). [para(18(a,1),9507(a,1,2,2,1,2))]. 9716 L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). [para(9514(a,1),421(a,1,2))]. 9717 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(9527(a,2),8504(a,1))]. 9718 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(255,a,8112,a(flip),b,9532,a)]. 9719 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(8621,a,9718,a)]. 9720 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(21(a,1),9719(a,1,2,2)),flip(a)]. 9721 L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). [para(9720(a,1),5253(a,1,2,1))]. 9722 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(255,a,9580,a(flip),b,9577,a)]. 9723 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(255,a,9250,a(flip),b,9590,a(flip)),flip(a)]. 9724 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [hyper(7895,a,9723,a)]. 9725 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(255,a,8715,a(flip),b,9724,a)]. 9726 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(255,a,6455,a(flip),b,9725,a)]. 9727 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(5406,a,9599,a),flip(a)]. 9728 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(255,a,8789,a,b,9727,a(flip)),flip(a)]. 9729 L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(9728(a,1),5195(a,1,1,1))]. 9730 T(T(x,K(y,x)),z * x) * ((T(x,x * z) * K(y,x)) \ u) = K(x,y) * u. [para(4568(a,1),9713(a,1,1))]. 9731 K(x \ 1,x) * K(y,T(x,z)) = (T(T(x,y),z) \ 1) * T(x,z). [hyper(255,a,7696,a,b,9714,a),flip(a)]. 9732 ((1 / x) * y) * T(((1 / x) * y) \ (K(z,u) * y),z) = K(z,u) * (K(x,z) * y). [para(5777(a,1),9715(a,1,2)),flip(a)]. 9733 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(7539(a,2),7546(a,1,1))]. 9734 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(47(a,2),7620(a,1,1))]. 9735 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). [hyper(255,a,8980,a(flip),b,7707,a)]. 9736 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(255,a,9700,a(flip),b,7715,a(flip))]. 9738 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(8235(a,1),9736(a,1,3))]. 9739 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(7108,a,9738,a)]. 9741 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(9739(a,1),2187(a,1,1,2))]. 9742 L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). [para(9739(a,1),3818(a,1,1))]. 9745 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(5490,a,7800,a),flip(a)]. 9746 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(255,a,7591,a,b,9745,a(flip)),flip(a)]. 9747 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(9746(a,1),6784(a,1,1,2)),flip(a)]. 9748 (x * y) \ ((T(x,z) * y) * x) = T(x,T(z,y)). [hyper(255,a,6734,a(flip),b,7823,a(flip))]. 9750 (x * y) \ ((T(x,z \ (u * x)) * y) * x) = T(x,T((u \ z) \ x,y)). [para(7002(a,1),9748(a,1,2,1,1))]. 9751 a(x,y * K(x,z),x) = a(x,y,T(x,z)). [hyper(636,a,7917,a),flip(a)]. 9752 a(x,y,T(x,z)) = a(x,y,x). [hyper(9413,a,9751,a),flip(a)]. 9753 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(9751(a,1),9413(a,1))]. 9754 a(x,T(y,x),x) != z | a(x,y,x) = z. [para(9752(a,1),7056(a,1))]. 9755 K(R((x * y) / x,z,u),T(w,y * x)) = K(L(R(y,z,u),x,y),w). [para(49(a,1),7925(a,2,1))]. 9756 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(255,a,5996,a(flip),b,8019,a)]. 9757 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(6672(a,1),9756(a,1,2)),flip(a)]. 9758 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(8267(a,1),8585(a,1,2))]. 9759 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7539(a,2),8291(a,1,1))]. 9760 K(x,K(y,T(z \ (x * u),x \ z))) = K(x,K(y,u / (x \ z))). [para(8322(a,1),7439(a,1,2))]. 9761 K(x,K(y,T(z \ (x * u),z))) = K(x,K(y,u / (x \ z))). [hyper(255,a,9058,a(flip),b,9760,a(flip)),flip(a)]. 9762 K(x,K(y,(x * z) / u)) = K(x,K(y,z / (x \ u))). [para(8255(a,1),9761(a,1,2))]. 9763 K(x,K(y,z / (x \ u))) = K(x,K(y,z / u)). [hyper(9548,a,9762,a),flip(a)]. 9764 K(x,K(y,z / (x * u))) = K(x,K(y,z / u)). [para(18(a,1),9763(a,1,2,2,2)),flip(a)]. 9765 R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u). [hyper(80,a,8380,a(flip),b,6416,a(flip))]. 9766 K(x \ (y * (x * z)),T(y,K(z,u))) = K(L(z \ 1,z,x) \ y,y). [hyper(255,a,8976,a(flip),b,8911,a(flip)),flip(a)]. 9767 x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. [para(8943(a,1),4518(a,1,2))]. 9768 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [hyper(255,a,7535,a(flip),b,8989,a)]. 9769 K(x,((y \ z) * u) \ (z * u)) = R(K(x,T(y,z * u)),z,u). [hyper(255,a,8967,a(flip),b,9400,a(flip))]. 9770 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [para(43(a,1),9415(a,1,1,2))]. 9771 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(7558(a,1),9416(a,1,1))]. 9772 K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). [hyper(7305,a,9692,a),flip(a)]. 9773 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(127(a,1),9772(a,1,2,1)),flip(a)]. 9774 K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). [para(166(a,1),9772(a,1,2,1,2)),flip(a)]. 9775 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [hyper(255,a,8979,a(flip),b,9773,a)]. 9776 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(255,a,7705,a(flip),b,9775,a(flip)),flip(a)]. 9777 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(9776(a,1),7252(a,1,1))]. 9778 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [hyper(6238,a,9733,a),flip(a)]. 9780 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(255,a,7944,a(flip),b,9778,a(flip))]. 9781 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(255,a,7701,a,b,9780,a)]. 9782 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [para(70(a,1),9780(a,1,2,1,1)),flip(a)]. 9783 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(70(a,1),9781(a,1,2,1,1)),flip(a)]. 9784 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(255,a,7700,a,b,9782,a(flip)),flip(a)]. 9785 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(255,a,7245,a(flip),b,9783,a(flip))]. 9786 K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). [para(70(a,1),9784(a,1,2,1)),flip(a)]. 9787 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(9470,a,9785,a),flip(a)]. 9788 K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). [para(6488(a,1),9787(a,1,2))]. 9789 K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). [hyper(8593,a,9786,a)]. 9790 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(255,a,8933,a(flip),b,9789,a(flip)),flip(a)]. 9791 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(73(a,1),9790(a,2,2))]. 9792 K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2858(a,1),9734(a,2,1,1))]. 9793 K(R(x,y,z),T(T(u,x * w),w)) = K(L(R(x,y,z),w,x),u). [hyper(255,a,8311,a(flip),b,9755,a(flip)),flip(a)]. 9794 K(R(x,y,z),T(T(u,w),x * w)) = K(L(R(x,y,z),w,x),u). [para(43(a,1),9793(a,1,2))]. 9795 K(R(x,y,z),T(T(u,w),w)) = K(L(R(x,y,z),w,x),u). [hyper(255,a,9032,a(flip),b,9794,a(flip)),flip(a)]. 9796 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(9339,a,9795,a),flip(a)]. 9798 K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). [para(49(a,2),9796(a,1,1))]. 9799 K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). [hyper(255,a,9368,a(flip),b,9798,a(flip))]. 9800 K(R(x,x \ a(x,y,x),z),u) = K(x,u). [hyper(255,a,7427,a(flip),b,9799,a)]. 9803 (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). [para(9800(a,1),7209(a,1,1)),flip(a)]. 9804 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [para(9168(a,1),9803(a,1,1)),flip(a)]. 9805 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [hyper(5622,a,9804,a)]. 9806 K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. [hyper(310,a,9804,a),flip(a)]. 9807 K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z. [para(9804(a,1),24(a,1)),flip(a)]. 9808 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(5894(a,2),9805(a,1,1))]. 9809 K(x,x * y) * z != K(x,y) * (a(x,y,x) \ u) | z = u. [para(9806(a,2),24(a,2))]. 9810 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(5683(a,1),9808(a,1,2))]. 9811 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(9759(a,1),6366(a,1,1)),flip(a)]. 9812 L(K(T(T(x,y),z * y),u),y,z) * w = K((z * y) / (z * (u \ y)),x) \ w. [para(9770(a,1),6488(a,1,1)),flip(a)]. 9813 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(9473(a,1),9771(a,1,1,1))]. 9814 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(5216(a,1),7735(a,1,1)),flip(a)]. 9815 R(x,y,x * K(z,x)) = R(x,y,x). [para(5216(a,1),9814(a,1,3)),flip(a)]. 9816 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(5268(a,1),9815(a,1,3))]. 9817 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6873(a,1),7745(a,1,1))]. 9818 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(422,a,7773,a)]. 9819 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(255,a,9768,a(flip),b,9818,a(flip)),flip(a)]. 9820 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [para(319(a,1),9818(a,1,3))]. 9821 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(255,a,7032,a(flip),b,9820,a(flip))]. 9823 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(19(a,1),9819(a,1,2,2)),flip(a)]. 9824 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(8051(a,1),9819(a,1,2))]. 9825 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(19(a,1),9824(a,1,2,2,2))]. 9826 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(7980(a,1),9824(a,1,2))]. 9827 K(x * y,T(y,z * x)) = K(y * x,T(y,z)). [hyper(7915,a,9826,a),flip(a)]. 9829 K(x * y,T(x,z * y)) != u | K(x * y,T(x,z)) = u. [para(9826(a,1),7914(a,1))]. 9830 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(7914,a,9825,a),flip(a)]. 9831 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(21(a,1),9830(a,1,2,2)),flip(a)]. 9832 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(255,a,8631,a(flip),b,9831,a(flip)),flip(a)]. 9833 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(255,a,9447,a(flip),b,9832,a(flip)),flip(a)]. 9834 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(255,a,8710,a(flip),b,9833,a(flip))]. 9835 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(9470,a,9834,a),flip(a)]. 9836 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(255,a,9029,a(flip),b,9835,a(flip)),flip(a)]. 9837 K(T(x,y) * z,T(x,u * z)) != w | K(x * z,T(x,u)) = w. [para(8068(a,2),9829(a,1))]. 9838 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). [hyper(255,a,8630,a(flip),b,7880,a)]. 9839 K(x \ y,T(z,T(y,x))) = K(y / x,z). [hyper(7900,a,9838,a)]. 9840 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). [para(5509(a,1),7882(a,1,2)),flip(a)]. 9841 T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. [para(7932(a,1),7663(a,1))]. 9842 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7957(a,1),7961(a,1,2,2)),flip(a)]. 9843 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(255,a,5819,a(flip),b,9842,a)]. 9845 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(255,a,5821,a(flip),b,9843,a(flip))]. 9846 K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)). [hyper(255,a,5195,a(flip),b,8052,a)]. 9847 K(K(L(x,y,z),u) * w,L(x,v5,v6)) = K(w,L(x,v5,v6)). [para(7559(a,1),9846(a,1,1))]. 9848 K(K(x,y) * z,L(x,u,w)) = K(z,L(x,u,w)). [para(319(a,1),9847(a,1,1,1,1))]. 9849 K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). [para(5874(a,1),9848(a,1,1)),flip(a)]. 9850 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [para(129(a,1),9849(a,1,1,2)),flip(a)]. 9851 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(8185(a,1),8165(a,1,1))]. 9852 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(9851(a,1),124(a,1,1,1)),flip(a)]. 9853 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(9851(a,1),5611(a,1,2))]. 9854 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(255,a,9712,a(flip),b,8337,a(flip)),flip(a)]. 9855 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [hyper(255,a,8483,a(flip),b,8491,a(flip)),flip(a)]. 9856 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [hyper(255,a,4659,a(flip),b,9855,a)]. 9858 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [hyper(255,a,4886,a(flip),b,9856,a)]. 9859 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(255,a,8728,a(flip),b,8729,a)]. 9860 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(255,a,8731,a,b,9859,a(flip)),flip(a)]. 9861 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(73(a,1),9860(a,2,2,2,1))]. 9862 K(x,T(1 \ ((y \ z) * x),z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(255,a,9443,a(flip),b,8777,a(flip)),flip(a)]. 9863 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / (x * z))). [para(8138(a,1),8837(a,2,2))]. 9864 K(x,T(y,T((x * z) \ u,z))) != w | K(x,T(y,u / (x * z))) = w. [para(8837(a,2),8372(a,1))]. 9865 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(255,a,4493,a(flip),b,8940,a)]. 9866 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(18(a,1),9865(a,1,1,2,1)),flip(a)]. 9867 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(255,a,4494,a(flip),b,8941,a)]. 9868 (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). [para(2082(a,2),9120(a,2,2))]. 9869 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(81,a,7219,a(flip),b,9122,a)]. 9870 (x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)). [para(2077(a,1),9141(a,2,2))]. 9871 L(a(x,y,x),K(x,x * y),z) = K(x,y) * K(x * y,x). [hyper(255,a,9139,a(flip),b,9183,a)]. 9873 L(a(x,y,x),K(x,x * y),z) = a(x,y,x). [hyper(255,a,9154,a(flip),b,9871,a)]. 9874 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = x / a(y,z,y). [para(9873(a,1),316(a,1,2)),flip(a)]. 9875 R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. [para(9191(a,2),25(a,1))]. 9876 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(8138(a,1),9278(a,1,1,1))]. 9877 K(T(x,y) / y,z) = K(x / T(y,x),z). [hyper(9308,a,9309,a),flip(a)]. 9878 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). [para(5822(a,1),9877(a,1,1,1))]. 9879 (x \ y) * K((x \ 1) \ (x \ y),(x * (x \ y)) \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(9435(a,1),6772(a,1,2))]. 9880 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(5149,a,9581,a),flip(a)]. 9881 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(8572(a,1),9880(a,1,1,2))]. 9882 x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). [para(643(a,1),9710(a,2,2))]. 9883 K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). [para(5429(a,1),9882(a,1,2)),flip(a)]. 9884 K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). [para(9883(a,1),8766(a,1,2,1))]. 9885 K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). [hyper(255,a,7411,a(flip),b,9884,a(flip)),flip(a)]. 9886 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(255,a,7605,a(flip),b,9747,a)]. 9887 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(45(a,2),9886(a,2,2))]. 9888 T(x,L(T(y,y \ z),u,w)) = T(x,L(T(y,z),u,w)). [para(128(a,2),9887(a,1,2,1))]. 9889 T(x,L(T(T(y * z,z) / y,(T(y * z,z) / y) \ (y * z)),u,w)) = T(x,L((y * z) / y,u,w)). [para(4150(a,1),9888(a,2,2,1))]. 9890 T(x,T((y \ z) \ x,u)) = T(x,T(z \ (y * x),u)). [hyper(255,a,9748,a(flip),b,9750,a(flip))]. 9891 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(8336(a,1),9854(a,1,2)),flip(a)]. 9892 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(7201(a,1),9891(a,2,2))]. 9893 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(59(a,1),9862(a,1,2,1))]. 9894 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(255,a,9783,a(flip),b,9893,a),flip(a)]. 9895 K(x,T(1 \ ((y \ z) * x),y)) = K(x,T((y \ z) * x,z)). [hyper(255,a,9443,a(flip),b,9894,a(flip)),flip(a)]. 9896 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [para(59(a,1),9895(a,1,2,1)),flip(a)]. 9897 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / z)). [para(9764(a,1),9863(a,2,2))]. 9898 K(x,T(y,T((x * z) \ u,z))) = K(x,T(y,u / z)). [hyper(255,a,8115,a(flip),b,9897,a)]. 9899 K(x,T(y,z / (x * u))) = K(x,T(y,z / u)). [hyper(9864,a,9898,a)]. 9900 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(19(a,1),9899(a,1,2,2,2)),flip(a)]. 9901 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [para(9900(a,1),5252(a,2,2))]. 9902 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(255,a,5252,a,b,9901,a)]. 9903 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(255,a,9651,a(flip),b,9902,a(flip))]. 9904 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(68(a,1),9903(a,1,2,2))]. 9905 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(129(a,1),9904(a,1,2)),flip(a)]. 9906 (x * (K(y,z) * L(K(u,y),w,v5))) * K(z,y) = x * L(K(u,y),w,v5). [hyper(6674,a,9870,a)]. 9907 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(9261(a,1),9876(a,1,1))]. 9908 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(8138(a,1),9907(a,2,1))]. 9909 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(8134(a,1),9908(a,2,2))]. 9910 K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). [para(8016(a,1),7748(a,1,1))]. 9911 L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). [para(7959(a,1),9910(a,1,2)),flip(a)]. 9913 L(x,K(y,x) * z,x) = L(x,z,x). [hyper(255,a,5539,a(flip),b,9911,a)]. 9915 L(x,T(x,y) \ z,x) = L(x,x \ z,x). [para(5560(a,1),9913(a,1,2))]. 9916 L(x,y / T(x,z),x) = L(x,x \ y,x). [hyper(255,a,9398,a,b,9915,a(flip)),flip(a)]. 9918 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [hyper(255,a,7398,a,b,9916,a(flip)),flip(a)]. 9921 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(255,a,5195,a(flip),b,8087,a)]. 9922 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(18(a,1),9921(a,1,1,2,1))]. 9923 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(8090(a,1),5490(a,1))]. 9924 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(5485,a,8091,a),flip(a)]. 9926 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(4038(a,2),8310(a,1,1))]. 9927 K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). [hyper(255,a,8115,a,b,8318,a),flip(a)]. 9928 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(8707,a,8642,a)]. 9929 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(9928(a,1),5252(a,2,2)),flip(a)]. 9930 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(9929(a,1),5255(a,1))]. 9931 K(x,(y * (z / (x \ 1))) \ u) = K(x,(y * z) \ (x \ u)). [hyper(255,a,9735,a(flip),b,8982,a(flip))]. 9932 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(255,a,9774,a(flip),b,9931,a(flip))]. 9933 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(37(a,2),9932(a,1,2,2))]. 9934 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(8670,a,9933,a)]. 9935 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(255,a,6692,a(flip),b,9142,a(flip)),flip(a)]. 9936 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(255,a,2077,a(flip),b,9935,a)]. 9937 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(6672(a,1),9936(a,1,2)),flip(a)]. 9938 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(7106(a,1),9937(a,1,2))]. 9939 T(x,a(y,z,K(x,u))) = x. [para(9937(a,1),7958(a,1,2))]. 9940 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(9939(a,1),7559(a,1,2,2)),flip(a)]. 9941 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [hyper(7079,a,9938,a)]. 9942 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5622,a,9938,a)]. 9943 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2079,a,9938,a)]. 9944 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(255,a,6490,a,b,9938,a(flip)),flip(a)]. 9946 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [para(9938(a,1),5220(a,1,2)),flip(a)]. 9947 ((x * y) / x) * L(K(y,x),z,u) = y * a(u,z,K(x,y)). [para(9938(a,1),5858(a,2,2))]. 9948 K(x,y) * K(y,L(x,z,u)) = a(u,z * x,K(x,y)). [para(7009(a,1),9938(a,1,2))]. 9949 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(7046(a,1),9938(a,1,2))]. 9950 (x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y). [para(9938(a,1),7113(a,1,1,2))]. 9951 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [para(9938(a,1),9125(a,1,2))]. 9952 (x * a(y,z,K(u,w))) * K(w,u) = x * L(K(w,u),z,y). [para(9938(a,1),9906(a,1,1,2))]. 9953 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(6493,a,9943,a)]. 9954 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [hyper(255,a,9142,a,b,9943,a(flip)),flip(a)]. 9955 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(7009(a,1),9943(a,1,1))]. 9956 K(L(x,y,z),u) * K(u,x) = a(z,y * x,K(u,x)). [para(7046(a,1),9943(a,1,1))]. 9957 x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. [para(9944(a,1),94(a,1,2)),flip(b)]. 9958 K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). [para(7039(a,1),9953(a,1,1))]. 9959 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(9949(a,1),5905(a,2,2))]. 9961 (x * K(y,z)) * u != x * L(K(y,z),w,v5) | a(v5,w,K(z,y)) = u. [para(9951(a,1),24(a,1)),flip(a)]. 9962 (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). [para(6633(a,1),9951(a,1,1)),flip(a)]. 9963 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [hyper(23,a,9950,a,b,9952,a),flip(a)]. 9964 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [hyper(255,a,5318,a(flip),b,9963,a(flip))]. 9965 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). [para(9963(a,1),384(a,1,1))]. 9966 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [hyper(255,a,5433,a,b,9954,a),flip(a)]. 9967 x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). [hyper(255,a,7677,a(flip),b,9962,a(flip)),flip(a)]. 9968 (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). [para(9946(a,1),9967(a,1,2)),flip(a)]. 9969 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [hyper(422,a,9968,a)]. 9970 a(x,y,a(z,u,K(y,w))) = 1. [hyper(39,a,9969,a)]. 9971 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(8242(a,1),9970(a,1,3,3))]. 9973 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(255,a,8135,a(flip),b,9432,a)]. 9975 R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. [para(7542(a,1),9811(a,1,1))]. 9976 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(8231(a,1),9813(a,1,1)),flip(a)]. 9977 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(9976(a,1),21(a,1,1))]. 9979 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(18(a,1),9977(a,1,1,1,1))]. 9980 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(9495,a,9926,a)]. 9981 K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). [para(5618(a,1),9926(a,2,2))]. 9982 K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(9926(a,1),8439(a,2,2))]. 9983 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(8176,a,9973,a)]. 9984 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(7582(a,1),9975(a,1,1))]. 9985 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(255,a,9759,a(flip),b,9984,a(flip))]. 9986 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(7233(a,2),9985(a,1,1))]. 9987 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(9986(a,1),5384(a,1))]. 9988 K(x / y,T(z,u)) \ T(x / (K(y \ x,z) \ x),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). [para(8284(a,1),7569(a,1,2,1,2))]. 9989 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(1327(a,1),7689(a,1,2)),flip(a)]. 9990 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(6362(a,1),7809(a,1,2)),flip(a)]. 9991 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(255,a,3340,a,b,9990,a)]. 9992 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(6209(a,1),7922(a,1,1,2))]. 9993 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(9992(a,2),7218(a,1,1))]. 9994 T(x * R(K(y,z),u,w),K(v5,y)) = T(x,K(v5,y)) * R(K(y,z),u,w). [hyper(8164,a,8216,a),flip(a)]. 9995 K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. [hyper(8468,a,8517,a)]. 9996 K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). [hyper(255,a,8467,a(flip),b,9995,a)]. 9997 K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(473(a,2),9996(a,1,2,2))]. 9998 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). [hyper(255,a,9868,a(flip),b,8825,a)]. 9999 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(255,a,7513,a(flip),b,8966,a)]. 10001 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(255,a,9598,a(flip),b,9999,a(flip)),flip(a)]. 10002 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(7908(a,1),9143(a,1,2)),flip(a)]. 10004 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1751(a,1),9177(a,1,2,2))]. 10005 (K(x,y) * T(z,u)) / K(x,T(y,z)) = (z * (K(x,y) * K(z,u))) * K(y,x). [para(7539(a,2),9256(a,1,2))]. 10006 K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y). [para(8134(a,1),9384(a,1,1))]. 10007 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [hyper(255,a,9389,a(flip),b,9391,a)]. 10008 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(73(a,1),10007(a,1,2,1,1)),flip(a)]. 10009 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(4446(a,1),9523(a,1,1))]. 10010 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(255,a,9240,a(flip),b,10009,a)]. 10011 T(T(K(x,y) * z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). [para(9264(a,2),9579(a,1,1))]. 10012 T(x,y * x) * ((T(x,x * y) * K(z,x)) \ u) = K(x,z) * u. [para(3140(a,1),9730(a,1,1,1))]. 10013 T(x,y * x) * (L(x,y,x) \ z) = K(x,y) * z. [para(5707(a,1),10012(a,1,2,1))]. 10014 T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. [para(4563(a,1),10013(a,1,1))]. 10015 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(255,a,9376,a,b,10014,a(flip)),flip(a)]. 10016 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(9809,a,10015,a)]. 10017 a(x,y,x) * z = z * a(x,y,x). [hyper(9807,a,10015,a)]. 10018 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(9372(a,1),10015(a,1,2)),flip(a)]. 10019 T(x,a(y,z,y)) = x. [hyper(8094,a,10016,a)]. 10020 T(a(x,y,x),z) = a(x,y,x). [hyper(4425,a,10016,a)]. 10021 x / a(y,z,y) = a(y,z,y) \ x. [hyper(96,a,10016,a)]. 10022 K(x,a(y,z,y)) = 1. [hyper(41,a,10019,a)]. 10023 a(x,y,x) * z != u | z * a(x,y,x) = u. [para(10019(a,1),225(a,1,2))]. 10024 T(x,y \ R(y,z,y)) = x. [para(9151(a,1),10019(a,1,2))]. 10025 x * K(y,a(z,u,z)) = x. [para(10022(a,2),17(a,1,2))]. 10026 x / (y \ R(y,z,y)) = (y \ R(y,z,y)) \ x. [hyper(6157,a,10024,a),flip(a)]. 10029 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(10025(a,1),208(a,1)),flip(a)]. 10030 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(10025(a,1),266(a,1)),flip(b)]. 10031 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(10025(a,1),5301(a,1,1,1))]. 10032 (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). [para(10025(a,1),5436(a,1,1)),flip(a)]. 10033 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(255,a,9153,a,b,10020,a)]. 10036 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(255,a,9609,a(flip),b,10017,a)]. 10037 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) = R(T(u,x * a(y,z,y)),x,a(y,z,y)). [hyper(80,a,10017,a,b,573,a)]. 10038 (a(x,y,x) * z) \ ((z * u) * a(x,y,x)) != w | L(u,z,a(x,y,x)) = w. [para(10017(a,1),431(a,1,2))]. 10039 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(10017(a,1),574(a,1,2,1))]. 10040 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w. [para(10017(a,1),686(a,1,1))]. 10041 (a(x,y,x) * z) \ (z * (u * a(x,y,x))) != w | L(T(u,a(x,y,x)),a(x,y,x),z) = w. [para(10017(a,2),686(a,1,1))]. 10042 x * (y \ R(y,z,y)) = a(y,z,y) * x. [para(9153(a,2),10017(a,2,2)),flip(a)]. 10043 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = a(y,z,y) \ x. [hyper(255,a,9874,a,b,10021,a(flip)),flip(a)]. 10044 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(10021(a,1),9380(a,1,2))]. 10045 T(a(x / y,z,x / y),u) = (x / y) \ R(x / y,z,y \ x). [para(7460(a,1),10033(a,2,2))]. 10047 T(x,R(a(y,z,y),u,w)) = x. [hyper(174,a,10031,a)]. 10048 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(10020(a,1),10039(a,2,1))]. 10049 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(9164(a,2),10048(a,1,2,1))]. 10051 (x / K(y,z)) * K(y,y * z) = a(y,z,y) \ x. [para(9168(a,1),10043(a,1,1,2))]. 10052 (x * K(y,z)) * K(z,z * y) = a(z,y,z) \ x. [para(6673(a,1),10051(a,1,1))]. 10053 (x / R(y,z,y)) * y = a(y,z,y) \ x. [hyper(255,a,7065,a(flip),b,10052,a(flip)),flip(a)]. 10054 (x / R(y,z,y)) * y = x / a(y,z,y). [hyper(255,a,10021,a,b,10053,a)]. 10055 (a(x,y,x) * (z * x)) / R(x,y,x) = z. [hyper(23,a,18,a(flip),b,10053,a)]. 10056 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(255,a,9217,a(flip),b,10053,a(flip)),flip(a)]. 10057 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(79,a,10053,a(flip),b,9217,a(flip)),flip(a)]. 10058 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(81,a,20,a(flip),b,10054,a),flip(a)]. 10059 x * (y \ L(y,z,y)) = x / a(y,z,y). [hyper(255,a,9217,a(flip),b,10054,a(flip)),flip(a)]. 10060 a(x,y,x) * (z * x) = z * R(x,y,x). [para(10055(a,1),21(a,1,1)),flip(a)]. 10061 (x * R(y,z,y)) / (x * y) = a(y,z,y). [para(10055(a,1),77(a,1,1,1))]. 10062 a(x,y,x) \ K(x,z) = x \ L(T(x,z),y,x). [hyper(255,a,7709,a(flip),b,10056,a(flip))]. 10064 (x / y) * R(y,z,y) = x * a(y,z,y). [para(10058(a,1),21(a,1,1))]. 10065 x / (y \ L(y,z,y)) = x * a(y,z,y). [hyper(81,a,20,a(flip),b,10059,a)]. 10066 (x * y) * a(y,z,y) = x * R(y,z,y). [hyper(10023,a,10060,a)]. 10067 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(81,a,10060,a(flip),b,97,a(flip))]. 10068 (x * R(y,z,y)) / (x * y) != u | a(y,z,y) = u. [para(10060(a,1),304(a,1,1)),flip(b)]. 10069 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(10061(a,1),226(a,1,1)),flip(b)]. 10070 ((x * y) * R(L(z,y,x),u,L(z,y,x))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(112(a,1),10061(a,1,2))]. 10072 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(255,a,7516,a,b,10064,a(flip)),flip(a)]. 10073 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4624(a,1),10064(a,1,2))]. 10074 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10064(a,2),9382(a,1,2))]. 10075 x / (a(y,z,y) \ 1) = x * a(y,z,y). [para(10057(a,2),10065(a,1,2))]. 10076 (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). [para(10066(a,1),10032(a,1,1,2))]. 10077 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(18(a,1),10072(a,1,2)),flip(a)]. 10078 R(x,y,x) * (T(x,z) \ u) = (K(z,x) * u) * a(x,y,x). [para(5556(a,1),10072(a,1,2))]. 10079 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [hyper(500,a,10075,a)]. 10080 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(10057(a,1),10079(a,1,3))]. 10081 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [para(9153(a,2),10080(a,1,2))]. 10082 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(10029,a,10077,a)]. 10083 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(10082(a,1),466(a,1,1,1))]. 10085 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(18(a,1),9866(a,1,1,2,1)),flip(a)]. 10086 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(18(a,1),9867(a,1,1,2,1))]. 10087 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). [para(8482(a,1),9878(a,2,1,2))]. 10088 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(7666,a,9959,a)]. 10089 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(138(a,1),10088(a,1,2,2))]. 10090 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(255,a,7818,a,b,9989,a(flip)),flip(a)]. 10091 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(127(a,1),10004(a,1,2)),flip(a)]. 10092 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(255,a,10049,a(flip),b,10091,a)]. 10093 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). [para(5216(a,1),10092(a,1,1,2)),flip(a)]. 10094 (x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) * K(z,T(y,x)). [hyper(7607,a,10005,a),flip(a)]. 10095 K(x,K(y,z \ 1)) \ (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(6222(a,1),10006(a,1,2))]. 10096 K(K(x,y \ 1),z) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [hyper(5623,a,10095,a)]. 10097 K(x,K(y \ 1,z)) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [para(8100(a,1),10096(a,1,1))]. 10098 K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(8448(a,1),10097(a,1,1))]. 10099 K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z). [hyper(9419,a,10098,a)]. 10100 K(x,y) * (K(z,x) * (K(x,y) \ u)) = K(z,x) * u. [hyper(8207,a,10011,a)]. 10102 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(18(a,1),10100(a,1,2,2))]. 10103 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(5600(a,1),10100(a,1,2,2))]. 10104 T(x,y) \ (x * (K(x,z) * u)) = K(x,z) * (K(y,x) * u). [hyper(255,a,5559,a,b,10102,a),flip(a)]. 10105 (K(x,y) * K(z,x)) \ (K(z,x) * (K(x,y) * u)) = L(u,K(z,x),K(x,y)). [hyper(80,a,10102,a(flip),b,112,a)]. 10106 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [para(5608(a,1),10102(a,1,2)),flip(a)]. 10107 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(7044(a,1),10102(a,1,2,1)),flip(a)]. 10108 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(5622,a,10103,a)]. 10109 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(5622,a,10106,a)]. 10110 (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). [para(10108(a,1),1882(a,1,1,1,1))]. 10111 K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. [hyper(8920,a,10109,a)]. 10112 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(8138(a,2),10109(a,1,1))]. 10113 K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,y) \ T(K(x,T(y,z)) * u,w),K(x,y)). [para(10111(a,1),5026(a,1,1,2,1)),flip(a)]. 10114 T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). [para(5220(a,1),10104(a,1,2))]. 10115 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(8138(a,2),10112(a,2,2,1))]. 10116 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(310,a,10115,a),flip(a)]. 10117 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(8138(a,2),10116(a,1,2,1))]. 10118 L(x,K(y,z),K(z,u)) != w | L(x,K(z,u),K(y,z)) = w. [para(10105(a,1),2086(a,1))]. 10119 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(255,a,7816,a(flip),b,10090,a(flip)),flip(a)]. 10120 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (T(x,u) * K(z,T(y,x))). [hyper(255,a,7774,a(flip),b,10094,a)]. 10121 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(7044(a,1),10107(a,1,1))]. 10122 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (K(x,u) * (K(z,y) * x)). [para(7566(a,2),10120(a,2,2))]. 10123 K(x,y) * (K(z,u) * (K(y,x) * z)) = T(z,T(u,K(x,y))). [hyper(8417,a,10122,a),flip(a)]. 10124 K(x,y) * (K(K(x,y) * z,u) * z) = T(K(x,y) * z,T(u,K(x,y))). [para(5608(a,1),10123(a,1,2,2))]. 10125 K(x,y) * (z * K(z * K(x,y),u)) = T(K(x,y) * z,T(u,K(x,y))). [para(8285(a,1),10124(a,1,2))]. 10126 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [hyper(255,a,5991,a(flip),b,7763,a(flip))]. 10127 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(255,a,5991,a(flip),b,7820,a(flip))]. 10128 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(114(a,2),10127(a,1,1))]. 10129 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(10127(a,1),9431(a,1,2))]. 10130 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(255,a,7794,a(flip),b,8071,a(flip)),flip(a)]. 10132 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(255,a,5821,a(flip),b,10130,a(flip))]. 10133 R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). [para(8479(a,1),10132(a,1,2))]. 10134 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(255,a,5993,a(flip),b,8079,a)]. 10135 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(255,a,5994,a(flip),b,8080,a)]. 10136 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(5340(a,1),10135(a,1,1)),flip(a)]. 10137 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8197(a,1),8617(a,1,1,3))]. 10138 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5600(a,1),10137(a,2,2))]. 10139 L(K(x,T(T(y,z),u * (K(y,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7539(a,2),8988(a,1,1))]. 10140 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(8183,a,9319,a)]. 10141 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(7891,a,9555,a)]. 10142 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1303(a,1),9726(a,1,2,1))]. 10143 L(K(T(T(x,y),z * y),u),y,z) * w = K(x,(z * y) / (z * (u \ y))) * w. [hyper(255,a,5600,a(flip),b,9812,a)]. 10144 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(8049(a,1),9845(a,1,1,2))]. 10145 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(255,a,5821,a(flip),b,10144,a(flip))]. 10147 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(255,a,251,a(flip),b,9852,a)]. 10148 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(255,a,5242,a,b,10147,a)]. 10150 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(255,a,8134,a,b,10148,a)]. 10151 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(18(a,1),9979(a,2,2,1,1))]. 10152 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(96,a,10151,a)]. 10153 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(10151(a,1),304(a,1,1)),flip(b)]. 10155 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(127(a,2),10152(a,1,2))]. 10156 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(9300(a,2),10155(a,1,1))]. 10157 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(8914(a,1),10139(a,1,1))]. 10158 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(255,a,9770,a(flip),b,10157,a(flip)),flip(a)]. 10160 K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. [para(10140(a,1),8183(a,1))]. 10161 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(584(a,1),10142(a,1,2,2))]. 10162 L(K(T(x,y),T(z,u * y)),y,u) * w = K(x,(u * y) / (u * (z \ y))) * w. [para(7542(a,1),10143(a,1,1,1))]. 10163 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(10156(a,1),466(a,1))]. 10164 L(K(x,T(T(y,z * u),u)),u,z) * w = K(x,(z * u) / (z * (y \ u))) * w. [para(7542(a,1),10162(a,1,1,1))]. 10165 K((x * y) / (x * (z \ y)),u) * w = K(z,(x * y) / (x * (u \ y))) * w. [para(9415(a,1),10164(a,1,1))]. 10166 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(25,a,10165,a)]. 10167 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(255,a,10158,a(flip),b,10166,a(flip))]. 10168 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(255,a,6520,a(flip),b,10166,a(flip))]. 10169 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(10167(a,2),21(a,1,1))]. 10170 K(x,(y * z) / (y * (u \ z))) * (y * z) = y * (K(x,u) * z). [para(10168(a,2),21(a,1,1))]. 10171 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(10168(a,2),10153(a,1))]. 10172 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1304(a,1),10169(a,1,1,2))]. 10173 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(10169(a,1),9088(a,1,2)),flip(a)]. 10174 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(10169(a,1),9246(a,1,2,2,1)),flip(a)]. 10175 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5622,a,10172,a),flip(a)]. 10176 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5608(a,1),10172(a,1,2,2)),flip(a)]. 10177 K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. [para(8242(a,1),10172(a,1,1))]. 10178 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(80,a,64,a(flip),b,10175,a),flip(a)]. 10179 (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [hyper(80,a,10178,a,b,1776,a)]. 10180 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(7516(a,1),10176(a,2,2))]. 10181 K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). [para(10170(a,1),9676(a,1,2))]. 10182 K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). [para(8606(a,1),10181(a,1,2,2))]. 10183 K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). [para(6880(a,1),10182(a,1,2,2)),flip(a)]. 10184 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5560(a,1),10180(a,1,2)),flip(a)]. 10185 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(255,a,10074,a(flip),b,10184,a(flip))]. 10186 (K(x,y) * z) * a(y,u,y) = y * (L(T(y,x),u,y) \ z). [hyper(255,a,10078,a(flip),b,10185,a(flip)),flip(a)]. 10187 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(10185(a,1),7449(a,1,2))]. 10188 a(x,y,x) * (K(z,x) * u) = x * (L(T(x,z),y,x) \ u). [hyper(10029,a,10186,a)]. 10189 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5634,a,10187,a),flip(a)]. 10190 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(5649(a,1),5304(a,2,1))]. 10191 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(5216(a,1),10190(a,1,1,1))]. 10192 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [para(10191(a,1),73(a,1,1))]. 10193 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(4505(a,1),10192(a,1,1,2))]. 10194 T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(6086(a,1),5400(a,1,2,1))]. 10195 K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [hyper(8694,a,10194,a)]. 10196 K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7539(a,2),10195(a,1,2,1))]. 10197 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(184(a,1),5695(a,1,2)),flip(a)]. 10198 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(5381(a,1),10197(a,1,1,2,1))]. 10199 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(183(a,1),5696(a,1,2)),flip(a)]. 10200 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(5381(a,1),10199(a,1,1,2,1))]. 10201 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(9938(a,1),10200(a,1,1)),flip(a)]. 10202 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(255,a,10121,a,b,10201,a(flip)),flip(a)]. 10203 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6491(a,1),10201(a,1,2)),flip(a)]. 10204 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(80,a,5608,a(flip),b,10203,a),flip(a)]. 10205 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(255,a,10202,a(flip),b,10204,a(flip))]. 10206 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(416,a,10205,a)]. 10207 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(255,a,9940,a,b,10205,a)]. 10209 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(10207(a,2),24(a,1))]. 10210 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5683(a,1),5871(a,1,2))]. 10211 K(1 / x,x) \ (R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)) * ((u * (1 / (1 / L(x,y,z)))) / u)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). [para(7062(a,1),6226(a,1,2,2,1,2))]. 10212 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(3718(a,1),6309(a,1,1))]. 10213 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(5886(a,1),10212(a,1,1,1))]. 10214 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6978(a,1),6427(a,1,1,1))]. 10215 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(81,a,8995,a(flip),b,10214,a(flip))]. 10216 K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5699(a,1),6522(a,1,2,2,1,1))]. 10217 K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). [para(5265(a,1),10216(a,1,2,2,1)),flip(a)]. 10218 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(255,a,1070,a(flip),b,7321,a(flip)),flip(a)]. 10219 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(9140(a,1),7367(a,1)),flip(a)]. 10220 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(8885(a,1),7929(a,1,1)),flip(a)]. 10221 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [hyper(255,a,7662,a(flip),b,10220,a)]. 10222 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(4137(a,1),10221(a,1,1)),flip(a)]. 10223 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [hyper(9841,a,10222,a)]. 10224 K(x,y) * T(z * R(K(y,u),w,v5),K(x,y)) = (z * K(x,y)) * R(K(y,u),w,v5). [para(9994(a,2),8659(a,1,2))]. 10225 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(83,a,8752,a),flip(a)]. 10226 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4902(a,1),10225(a,1,1)),flip(a)]. 10227 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(6511,a,10226,a)]. 10228 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(255,a,5992,a(flip),b,8759,a)]. 10230 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(255,a,8951,a(flip),b,8952,a)]. 10231 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(70(a,1),10230(a,1,1,2,1,2,1))]. 10232 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(255,a,8582,a(flip),b,10231,a(flip)),flip(a)]. 10233 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(8555,a,10232,a)]. 10234 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [hyper(255,a,7671,a(flip),b,9001,a)]. 10236 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(6475(a,1),9259(a,1,1,2))]. 10237 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). [hyper(5047,a,10236,a)]. 10238 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)). [para(6488(a,1),10237(a,2,1))]. 10239 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(6494,a,10238,a),flip(a)]. 10240 T(L(K(x,y),z,u) * T(w,L(K(x,y),z,u)),K(x,v5)) = T(w,K(x,v5)) * L(K(x,y),z,u). [hyper(255,a,182,a(flip),b,10239,a)]. 10241 T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [hyper(255,a,4984,a(flip),b,9275,a(flip)),flip(a)]. 10242 T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). [hyper(255,a,9274,a(flip),b,10241,a(flip))]. 10243 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(184(a,1),9388(a,2,1))]. 10244 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(255,a,9304,a(flip),b,10243,a(flip))]. 10245 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1849(a,1),9436(a,1,2))]. 10246 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(636,a,10245,a),flip(a)]. 10248 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)). [para(7157(a,1),10246(a,1,2)),flip(a)]. 10249 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [para(10246(a,1),9437(a,1,2))]. 10250 K(x * L(y,z,u),y) != K(x,y) * w | a(y,x,L(y,z,u)) = w. [para(10249(a,1),24(a,1))]. 10251 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1958(a,1),9438(a,1,2))]. 10252 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(636,a,10251,a),flip(a)]. 10253 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10251(a,1),636(a,1))]. 10254 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(9439,a,10252,a)]. 10255 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(10252(a,1),19(a,1,2))]. 10256 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(10252(a,1),6135(a,1,1)),flip(a)]. 10257 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(10252(a,1),9387(a,1,2)),flip(a)]. 10258 T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [para(10133(a,2),10252(a,1,2))]. 10259 R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(4787(a,1),10256(a,2,1))]. 10261 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(10254(a,1),6689(a,1,1))]. 10262 K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). [para(8060(a,1),10254(a,1,1))]. 10263 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(10254(a,1),8818(a,1,1)),flip(a)]. 10264 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(21(a,1),10261(a,1,2,2))]. 10265 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5671,a,10257,a)]. 10266 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(255,a,1070,a(flip),b,10265,a(flip)),flip(a)]. 10267 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(10265(a,1),19(a,1,2))]. 10268 ((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u). [hyper(255,a,1638,a(flip),b,9732,a(flip)),flip(a)]. 10269 (K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u). [para(8758(a,2),10268(a,1,1))]. 10270 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(73(a,1),10269(a,1,1,2,1))]. 10271 L(x,K(y,z),K(z,u)) = x. [hyper(422,a,10270,a)]. 10272 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(172,a,10270,a,b,19,a),flip(a)]. 10275 (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). [para(2075(a,1),10270(a,1,1))]. 10276 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(x,y) * (K(z,x) * u)) / (K(x,y) * K(z,x))). [para(10270(a,1),4127(a,2,2,1))]. 10277 (K(x,y) * z) / (K(y,u) * (K(x,y) * z)) = R(K(u,y),K(x,y),z). [para(10270(a,1),6417(a,1,2))]. 10278 L(x,K(y,z),K(u,y)) = x. [hyper(10118,a,10271,a)]. 10279 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(255,a,4506,a(flip),b,10271,a)]. 10280 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [hyper(255,a,6306,a(flip),b,10271,a(flip)),flip(a)]. 10281 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7542(a,1),10271(a,1,2))]. 10282 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(255,a,5436,a(flip),b,10278,a(flip)),flip(a)]. 10283 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(10278(a,1),112(a,1,2))]. 10284 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(10281(a,1),112(a,1,2))]. 10285 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(10279(a,1),9047(a,1,2,3))]. 10286 K(x,y) * (K(z,x) * K(K(z,x) * K(x,y),u)) = T(K(z,x) * K(x,y),u). [hyper(5255,a,10275,a),flip(a)]. 10287 (K(x,y) * z) / (K(u,y) * z) = K(x,y) * K(y,u). [hyper(81,a,10103,a(flip),b,10275,a)]. 10288 (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). [para(2075(a,1),10280(a,1,1))]. 10289 R(K(x,y),K(y,z),u) = K(x,y). [hyper(5091,a,10283,a)]. 10290 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(81,a,10106,a(flip),b,10283,a)]. 10291 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). [para(10289(a,1),3802(a,1,1)),flip(a)]. 10292 (x * K(y,z)) / (K(u,T(z,x)) * x) = K(y,T(z,x)) * K(T(z,x),u). [para(8235(a,1),10287(a,1,1))]. 10293 (K(x,T(y,z)) * K(y,u)) \ w = K(y,T(x,z)) * (K(u,y) * w). [para(7542(a,1),10288(a,1,1,1))]. 10294 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5162(a,1),10290(a,1,1))]. 10295 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(255,a,10002,a(flip),b,10272,a(flip)),flip(a)]. 10296 R(K(x,y),K(z,y),u) = K(x,y). [hyper(5613,a,10277,a),flip(a)]. 10298 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(T(z,x),u). [para(8235(a,1),10292(a,1,2))]. 10299 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(z,T(u,x)). [para(7542(a,1),10298(a,2,2))]. 10300 x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(160(a,2),10294(a,1,2,2,2))]. 10301 T(K(x,y) * K(z,x),T(u,K(x,y))) = T(K(z,x) * K(x,y),u). [hyper(255,a,10125,a(flip),b,10286,a(flip)),flip(a)]. 10302 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(5216(a,1),10093(a,2,2))]. 10303 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(8242(a,1),10177(a,1,2,2,1))]. 10305 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(255,a,7283,a(flip),b,10210,a(flip))]. 10306 ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). [para(10145(a,1),10218(a,2,2,2,1,1))]. 10307 (x * R(K(y,z),u,w)) * K(v5,y) = (x * K(v5,y)) * R(K(y,z),u,w). [hyper(225,a,10224,a)]. 10308 (x * R(K(y,z),u,w)) * K(v5,y) = x * (K(v5,y) * R(K(y,z),u,w)). [hyper(255,a,9120,a(flip),b,10307,a)]. 10309 x / (K(y,z) * R(K(z,y),u,w)) = x * (K(z,y) * R(K(y,z),u,w)). [hyper(255,a,9869,a,b,10308,a(flip)),flip(a)]. 10310 x * (K(y,z) * R(K(z,y),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(5604(a,1),10309(a,1,2)),flip(a)]. 10311 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [para(5604(a,1),10310(a,1,2)),flip(a)]. 10312 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(4320,a,10311,a)]. 10313 a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(10253,a,10258,a)]. 10314 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(10133(a,1),10259(a,1,1))]. 10315 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(9213,a,10282,a)]. 10316 T(x,T((1 / y) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(8805(a,1),6170(a,1,1))]. 10317 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3810(a,1),6345(a,1,2,1,1))]. 10318 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3312(a,1),10317(a,1,2))]. 10319 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(6440,a,10176,a)]. 10320 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(10319(a,1),7218(a,1,1,2)),flip(a)]. 10321 R(K(x,y),R(x,z,u),w) = K(x,y). [hyper(255,a,6670,a(flip),b,10320,a)]. 10322 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(255,a,6374,a(flip),b,10321,a(flip)),flip(a)]. 10323 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(255,a,6373,a(flip),b,7194,a(flip))]. 10324 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1940(a,2),7281(a,1,2))]. 10325 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. [para(7542(a,1),8295(a,2,1,2))]. 10326 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(8939(a,1),5485(a,1))]. 10327 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(4446(a,1),9184(a,1,1)),flip(a)]. 10328 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(10271(a,1),9197(a,1,1,1)),flip(a)]. 10329 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2075(a,1),10328(a,1,2,2))]. 10330 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(10329(a,1),6634(a,1,1))]. 10331 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(6839(a,1),10330(a,1,1,1)),flip(a)]. 10332 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(47(a,2),9268(a,1,1,2))]. 10333 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). [para(7539(a,2),9679(a,2,2,1))]. 10334 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(5490,a,9721,a),flip(a)]. 10335 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(255,a,8852,a(flip),b,10334,a)]. 10336 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(8861,a,10335,a)]. 10337 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9850(a,1),10336(a,1,2))]. 10338 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(255,a,10129,a(flip),b,10337,a(flip))]. 10339 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(255,a,8856,a(flip),b,10338,a(flip))]. 10340 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(8136,a,10339,a)]. 10341 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(255,a,9983,a(flip),b,10340,a(flip)),flip(a)]. 10342 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(255,a,9758,a(flip),b,10341,a)]. 10344 K(x,K(y,a(z,x,u))) = 1. [para(166(a,1),10342(a,1,2,2,3))]. 10346 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(10344(a,1),8105(a,1,2)),flip(a)]. 10347 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(255,a,17,a(flip),b,10346,a)]. 10348 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(255,a,8367,a(flip),b,10347,a(flip)),flip(a)]. 10349 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [para(10348(a,1),127(a,1,2)),flip(a)]. 10350 K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. [para(9729(a,1),5485(a,1))]. 10351 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(9836(a,2),9337(a,1))]. 10352 R(T(x,y * a(z,u,z)),y,a(z,u,z)) != w | L(T(x,y),y,a(z,u,z)) = w. [para(10037(a,1),10040(a,1))]. 10353 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(7554(a,1),10262(a,1,2)),flip(a)]. 10354 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(255,a,10254,a(flip),b,10353,a)]. 10356 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(129(a,1),10354(a,1,2)),flip(a)]. 10357 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(332(a,1),10354(a,1,2,2))]. 10358 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(10356(a,1),10264(a,1,1))]. 10359 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(255,a,7618,a(flip),b,10358,a)]. 10360 T(x,T((y \ 1) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(5088(a,1),10316(a,1,1))]. 10361 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(224,a,10324,a)]. 10362 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(6223(a,1),10361(a,1,2)),flip(a)]. 10363 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5209(a,1),10362(a,2,2))]. 10364 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(73(a,1),10363(a,1,1,2,1))]. 10365 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(73(a,1),10364(a,2,2,1,2))]. 10366 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(80,a,6834,a(flip),b,10365,a(flip))]. 10367 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(80,a,10365,a(flip),b,7184,a(flip))]. 10369 (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). [para(5192(a,1),10365(a,2,2))]. 10371 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(6672(a,1),10365(a,1,1)),flip(a)]. 10372 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [para(128(a,1),10366(a,2,1))]. 10373 L(K(x,y),y \ 1,z) = K(x,y). [hyper(5532,a,10367,a)]. 10374 L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). [hyper(255,a,9294,a(flip),b,10373,a)]. 10375 (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). [hyper(255,a,7184,a(flip),b,10369,a(flip)),flip(a)]. 10376 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5216(a,1),10371(a,1,2,1))]. 10377 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(10372(a,1),5025(a,1,1)),flip(a)]. 10378 (x * (y \ K(z,y))) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(10375(a,1),3766(a,1,1))]. 10379 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(255,a,4424,a(flip),b,10377,a(flip)),flip(a)]. 10380 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(6466(a,1),10379(a,2,1,1))]. 10381 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(7315(a,1),10380(a,1,1))]. 10382 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(10381(a,1),4290(a,2,1))]. 10383 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(255,a,7032,a(flip),b,10374,a(flip)),flip(a)]. 10384 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(255,a,9656,a(flip),b,10383,a(flip))]. 10385 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(255,a,9687,a(flip),b,10384,a)]. 10386 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(8081,a,10385,a)]. 10387 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [hyper(255,a,8963,a(flip),b,10386,a(flip)),flip(a)]. 10388 K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). [para(127(a,1),10386(a,1,1,1)),flip(a)]. 10389 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(255,a,7240,a(flip),b,10387,a)]. 10390 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(10389(a,1),5826(a,1,2,1,2))]. 10391 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [hyper(255,a,9685,a(flip),b,10388,a(flip))]. 10392 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(255,a,7068,a,b,10391,a(flip)),flip(a)]. 10393 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(255,a,7038,a,b,10391,a(flip)),flip(a)]. 10394 L(K(x * y,x),y,z) = K(z \ (x * (z * y)),x). [hyper(255,a,7847,a(flip),b,10393,a)]. 10395 L(K(x * y,y),x,z) = K(z \ ((z * x) * y),y). [para(5894(a,2),10393(a,1,1))]. 10396 K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). [para(10393(a,1),9938(a,1,2))]. 10397 K(x \ (y * (x * z)),T(y,K(u,x \ (y * (x * z))))) = L(K(y * z,y),z,x). [hyper(255,a,7555,a,b,10394,a),flip(a)]. 10398 L(K(x * y,y),x,z) = K(z \ (y * (z * x)),y). [para(5894(a,2),10394(a,1,1))]. 10399 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x * y,x)). [para(10394(a,1),7438(a,2,1))]. 10400 L(K(x * T(y,z * x),T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). [para(127(a,1),10395(a,2,1,2))]. 10401 R(x,y \ 1,K(z,y)) = x. [hyper(304,a,10378,a)]. 10403 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [hyper(255,a,5328,a(flip),b,10401,a(flip)),flip(a)]. 10404 R(x,y \ 1,K(z,T(y,u))) = x. [para(7542(a,1),10401(a,1,3))]. 10405 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(5216(a,1),10404(a,1,3,2))]. 10406 R(x,y \ K(y,z),K(u,y)) = x. [para(5402(a,1),10405(a,1,2))]. 10407 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(255,a,6752,a(flip),b,10406,a(flip)),flip(a)]. 10408 R(x,y,K(z,y \ 1)) = x. [para(290(a,1),10406(a,1,2))]. 10410 R(x,y \ z,K(u,z \ y)) = x. [para(6580(a,1),10408(a,1,3))]. 10411 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(10410(a,1),451(a,1,1))]. 10412 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(5206(a,1),10403(a,1,2))]. 10413 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [para(10412(a,1),73(a,1,1))]. 10414 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [hyper(255,a,7117,a,b,10413,a(flip)),flip(a)]. 10415 (T(x,y) \ 1) \ T(y,x) = (x \ 1) \ y. [para(10413(a,1),7118(a,1,1))]. 10416 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(10414(a,1),4703(a,1,1)),flip(a)]. 10417 K(x,y) * ((x \ 1) \ y) = (T(x,y) \ 1) \ y. [para(10415(a,1),6556(a,1,2))]. 10419 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(5252(a,2),10407(a,1,1))]. 10420 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [para(10419(a,2),73(a,1,1))]. 10421 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(5374(a,1),10420(a,2,2))]. 10422 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(73(a,1),10416(a,1,1,2,1)),flip(a)]. 10423 (T(x,y) \ 1) \ y = x * (((x \ 1) \ y) / x). [hyper(255,a,5590,a(flip),b,10417,a(flip))]. 10424 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [para(10422(a,1),70(a,1,2))]. 10425 (T(1 * (K(x,y) * K(z,x)),u) \ 1) \ u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(9215(a,1),10423(a,2,2,1,1))]. 10426 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [hyper(255,a,7171,a,b,10424,a(flip))]. 10427 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(10426(a,1),2229(a,1,1))]. 10428 (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). [para(6064(a,2),10427(a,1,1))]. 10429 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(18(a,1),10428(a,1,1,1,1)),flip(a)]. 10430 (((K(x,y) * K(z,x)) * u) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(9215(a,1),10429(a,1,1,1)),flip(a)]. 10431 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(10411(a,1),7196(a,1,2))]. 10432 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(129(a,1),10421(a,1,1,1))]. 10433 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(10432(a,1),7299(a,1,1))]. 10434 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4690(a,2),10433(a,1,1,2))]. 10435 (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(9756(a,1),10434(a,1,1,2))]. 10436 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5385(a,1),10376(a,1,1,2))]. 10437 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5849(a,1),10436(a,2,2))]. 10439 R(x,K(y \ 1,z),y) = x. [hyper(5091,a,10437,a)]. 10440 L(x \ 1,K(x,y),z) = x \ 1. [hyper(422,a,10437,a)]. 10441 R(x,y,K(y \ 1,z)) = x. [hyper(7316,a,10439,a)]. 10442 (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). [para(10441(a,1),122(a,1,1)),flip(a)]. 10443 R(x,y \ z,K(y / z,u)) = x. [para(8315(a,1),10441(a,1,3))]. 10444 x \ (y * K(x / y,z)) = (x \ y) * K(x / y,z). [para(10443(a,1),451(a,1,1))]. 10445 L(K(x \ 1,y),x,z) = K(x \ 1,y). [hyper(422,a,10442,a)]. 10446 a(x,y,K(y \ 1,z)) = 1. [hyper(39,a,10445,a)]. 10447 a(x,y \ 1,K(y,z)) = 1. [para(3312(a,1),10446(a,1,3))]. 10448 L(K(x,y),x \ 1,z) = K(x,y). [hyper(38,a,10447,a)]. 10450 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(255,a,6185,a(flip),b,10448,a(flip)),flip(a)]. 10451 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [para(10450(a,1),5252(a,2,2))]. 10452 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(255,a,5252,a,b,10451,a)]. 10453 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(255,a,9386,a(flip),b,10452,a)]. 10454 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [hyper(255,a,1610,a(flip),b,10444,a(flip))]. 10455 K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). [para(10396(a,1),5628(a,1,2))]. 10456 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(9957,a,10455,a)]. 10457 L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). [para(19(a,1),10456(a,2,2,2,1))]. 10458 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(5842(a,2),10456(a,1,1))]. 10459 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(233(a,1),10458(a,2,2))]. 10460 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [hyper(7521,a,10457,a)]. 10461 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(255,a,9773,a,b,10460,a(flip)),flip(a)]. 10462 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [hyper(255,a,10010,a(flip),b,10461,a(flip))]. 10463 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [hyper(9335,a,10462,a)]. 10464 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [hyper(255,a,9229,a(flip),b,10463,a(flip))]. 10466 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [hyper(255,a,8265,a(flip),b,10464,a(flip))]. 10467 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(255,a,7049,a(flip),b,10459,a)]. 10469 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(10270(a,1),10430(a,1,1,1))]. 10470 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(5939,a,10431,a),flip(a)]. 10471 K((x \ y) * (y \ x),z) = 1. [hyper(41,a,10470,a)]. 10472 T(x,(y \ z) * (z \ y)) = x. [hyper(40,a,10470,a)]. 10473 K(x * ((y * x) \ y),z) = 1. [para(18(a,1),10471(a,1,1,1))]. 10476 T(x,y * ((z * y) \ z)) = x. [para(18(a,1),10472(a,1,2,1))]. 10479 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(42,a,10473,a)]. 10480 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(6157,a,10476,a),flip(a)]. 10481 K(x,y * ((z * y) \ z)) = 1. [hyper(41,a,10476,a)]. 10485 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(162(a,2),10479(a,1,1,2))]. 10486 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(255,a,9741,a(flip),b,10485,a(flip)),flip(a)]. 10487 T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). [hyper(255,a,5928,a(flip),b,10485,a(flip)),flip(a)]. 10491 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(10486(a,1),2132(a,1,1))]. 10492 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * (K(z,x) * 1),u). [para(10280(a,1),10469(a,2,1))]. 10493 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * K(z,x),u). [para(17(a,1),10492(a,2,1,2))]. 10494 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(6046,a,10390,a),flip(a)]. 10495 K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(3052(a,1),10494(a,1,1,1))]. 10496 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [hyper(255,a,5767,a(flip),b,10495,a(flip)),flip(a)]. 10497 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(255,a,9821,a(flip),b,10496,a)]. 10498 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(255,a,9657,a(flip),b,10497,a(flip))]. 10499 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(8560,a,10498,a),flip(a)]. 10500 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(255,a,7216,a(flip),b,10499,a)]. 10501 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(18(a,1),10500(a,1,1,1)),flip(a)]. 10502 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(20(a,1),10501(a,1,1,1)),flip(a)]. 10503 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). [hyper(3704,a,10502,a)]. 10504 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [hyper(255,a,3317,a(flip),b,10466,a)]. 10505 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [hyper(8714,a,10504,a)]. 10506 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [hyper(255,a,9563,a,b,10505,a),flip(a)]. 10507 K(L(x \ 1,x,y) \ z,z) = L(K(z * x,z),x,y). [hyper(255,a,9766,a(flip),b,10397,a(flip)),flip(a)]. 10508 x / (L(K(y * z,y),z,u) * x) = K(y,L(z \ 1,z,u) \ y). [para(10507(a,1),5605(a,1,2,1))]. 10509 K(x,L(y \ 1,y,z) \ x) = L(K(x,x * y),y,z). [hyper(6492,a,10508,a),flip(a)]. 10510 L(K(x,x * ((y * z) \ y)),(y * z) \ y,z * y) = K(x,z \ x). [para(5463(a,1),10509(a,1,2,1)),flip(a)]. 10511 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(7436(a,1),10506(a,1,1))]. 10512 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(19(a,1),10511(a,2,2,1,2,1))]. 10513 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [hyper(255,a,5893,a,b,10512,a),flip(a)]. 10515 T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). [para(10513(a,1),5252(a,2,2))]. 10516 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(9600(a,1),10325(a,2,1))]. 10517 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(255,a,10138,a(flip),b,10516,a)]. 10518 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7542(a,1),10517(a,1,1,2))]. 10519 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(8235(a,1),10518(a,1,2))]. 10520 (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). [para(9428(a,2),10519(a,1,1))]. 10521 K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). [para(8193(a,1),10332(a,1,2))]. 10522 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * T(x \ K(x,y),z). [para(10099(a,1),10333(a,2,2))]. 10523 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [hyper(255,a,127,a(flip),b,10522,a)]. 10524 L(x \ 1,K(x,T(y,z)),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(7539(a,2),10523(a,1,1,2))]. 10525 (x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(10440(a,1),10524(a,1,1))]. 10526 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [hyper(255,a,6532,a,b,10525,a(flip)),flip(a)]. 10527 ((x \ 1) * y) / ((x \ K(x,z)) * y) = K(z,x). [para(10525(a,1),6539(a,1,2))]. 10529 L(x,y \ 1,K(y,z)) = x. [hyper(3610,a,10526,a)]. 10530 a(K(x,y),x \ 1,z) = 1. [hyper(39,a,10529,a)]. 10531 R(K(x,y),y \ 1,z) = K(x,y). [hyper(255,a,6420,a(flip),b,10527,a(flip)),flip(a)]. 10533 T(x,T(1 \ (y * x),z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(9890(a,1),10360(a,1,1))]. 10534 L(K(x * y,T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). [para(8332(a,1),10400(a,1,1))]. 10536 K(x \ (y * (x * z)),T(y,x * z)) = L(K(y * z,T(y,x)),z,x). [para(9827(a,1),10534(a,1,1)),flip(a)]. 10537 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(8602,a,10536,a),flip(a)]. 10539 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(8588(a,1),10521(a,1,2))]. 10540 T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). [para(10539(a,1),5821(a,1,1,2))]. 10542 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5819(a,1),10540(a,1,1))]. 10543 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(255,a,7388,a(flip),b,10542,a(flip))]. 10544 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10543(a,1),9010(a,2,1))]. 10545 T(x,T(y * x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(59(a,1),10533(a,1,1,2,1))]. 10546 T(x,T(y * x,z)) * K((y \ 1) \ 1,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(7551(a,1),10545(a,1,2))]. 10547 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(3312(a,1),10546(a,1,2))]. 10548 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(5055(a,1),5067(a,2,1))]. 10549 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(9426(a,1),5351(a,1,2))]. 10551 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(5226(a,1),5571(a,2,2))]. 10552 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = L(x,y,z). [hyper(255,a,33,a,b,10551,a)]. 10554 L(x,y,T(x,z)) = L(x,y,x). [hyper(255,a,7750,a(flip),b,10552,a(flip)),flip(a)]. 10556 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(10554(a,1),45(a,2,1))]. 10558 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(255,a,45,a,b,10556,a)]. 10559 L(T(x,y),T(z,x),x) = L(T(x,y),z,x). [hyper(255,a,4780,a(flip),b,10558,a(flip))]. 10561 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(10558(a,1),9371(a,1,2,1))]. 10562 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(9381,a,10561,a),flip(a)]. 10564 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10562(a,1),9373(a,1,1,2))]. 10565 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10066(a,1),10564(a,1,1))]. 10567 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(255,a,10558,a(flip),b,10565,a)]. 10569 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(255,a,5030,a,b,6662,a),flip(a)]. 10570 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(6633(a,1),6669(a,2,1))]. 10571 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). [hyper(255,a,35,a,b,10570,a)]. 10574 R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). [para(169(a,1),10571(a,1,2))]. 10575 R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). [para(7158(a,1),10574(a,1,1))]. 10577 T(x,y) \ (1 / (1 / T(x * K(z,x),y))) = (T(T(x,z),y) \ 1) * T(x,y). [para(5414(a,1),7324(a,1,2,2,2,1))]. 10578 T(x,y) \ T(1 / (1 / (x * K(z,x))),y) = (T(T(x,z),y) \ 1) * T(x,y). [para(2230(a,1),10577(a,1,2))]. 10579 T(x,y) \ T(1 / (K(x,z) / x),y) = (T(T(x,z),y) \ 1) * T(x,y). [para(5649(a,1),10578(a,1,2,1,2))]. 10580 T(x,y) \ T(1 / (K(x,z) / x),y) = K(x \ 1,x) * K(z,T(x,y)). [hyper(255,a,9731,a,b,10579,a)]. 10581 T(1 / (1 / x),y) \ T(1 / (K(x,z) / x),y) = K(z,T(x,y)). [hyper(3460,a,10580,a)]. 10582 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(4036(a,1),7920(a,1,1))]. 10583 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(155(a,1),8638(a,1,1))]. 10585 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(6673(a,1),10583(a,1,2))]. 10586 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(10318(a,1),10585(a,1,2)),flip(a)]. 10587 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(255,a,16,a(flip),b,10586,a)]. 10588 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5622,a,10587,a)]. 10589 K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(4814(a,1),10588(a,1,2,2))]. 10590 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(9315(a,1),10588(a,1,1))]. 10591 K(x * K(y * K(z,u),w),T(u,y * K(z,u))) = K(y \ (x * T(y * K(z,u),w)),u). [hyper(7899,a,8896,a)]. 10592 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(255,a,7758,a(flip),b,8973,a(flip))]. 10594 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(255,a,8937,a(flip),b,10592,a(flip))]. 10596 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(33(a,2),10594(a,2,2))]. 10597 K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). [para(5600(a,2),10596(a,1,2,2))]. 10598 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5608(a,1),10596(a,1,2,2)),flip(a)]. 10599 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10598(a,1),5602(a,1,2,2)),flip(a)]. 10600 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(255,a,5602,a(flip),b,10599,a)]. 10601 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(5207(a,1),10600(a,1,1,2)),flip(a)]. 10602 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(255,a,8678,a(flip),b,9236,a(flip))]. 10604 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(35(a,2),10602(a,1,1))]. 10605 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(255,a,8097,a,b,10604,a(flip)),flip(a)]. 10606 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(255,a,9494,a,b,10605,a(flip)),flip(a)]. 10607 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(255,a,10173,a(flip),b,10606,a(flip)),flip(a)]. 10609 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(255,a,9491,a(flip),b,10607,a(flip))]. 10610 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(10609(a,1),5291(a,2,2,2))]. 10611 T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. [para(10610(a,2),5406(a,1))]. 10612 K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). [hyper(255,a,8668,a(flip),b,9247,a(flip))]. 10614 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). [para(35(a,2),10612(a,1,2))]. 10615 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). [hyper(255,a,7928,a,b,10614,a(flip)),flip(a)]. 10616 x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). [para(10615(a,1),5252(a,2,2)),flip(a)]. 10617 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). [hyper(5255,a,10616,a),flip(a)]. 10618 T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(5560(a,1),10617(a,1,2,1)),flip(a)]. 10619 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(10611,a,10618,a),flip(a)]. 10621 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(5719,a,10619,a)]. 10622 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,y),u),w)). [hyper(9499,a,9711,a),flip(a)]. 10623 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [hyper(255,a,8841,a(flip),b,10622,a(flip))]. 10625 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(255,a,10141,a(flip),b,9980,a)]. 10626 K(a(x,y,z),x) = 1. [hyper(6412,a,10625,a),flip(a)]. 10628 T(a(x,y,z),x) = a(x,y,z). [hyper(42,a,10626,a)]. 10629 a(x,y,z) * x = x * a(x,y,z). [para(10628(a,1),127(a,1,2)),flip(a)]. 10630 T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). [para(4326(a,2),10628(a,1,1))]. 10631 (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(428(a,1),10070(a,1,1))]. 10632 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(23,a,5090,a(flip),b,10382,a)]. 10633 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(73(a,1),10548(a,1,1,2)),flip(a)]. 10634 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(4216(a,1),10569(a,1,1)),flip(a)]. 10635 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(10634(a,1),6665(a,1,1)),flip(a)]. 10636 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(255,a,5588,a(flip),b,10635,a)]. 10637 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(255,a,8596,a(flip),b,10636,a(flip)),flip(a)]. 10638 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(5268(a,1),10582(a,2,1))]. 10639 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(9153(a,1),10638(a,1,1))]. 10640 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(255,a,7919,a,b,10639,a),flip(a)]. 10641 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(9875,a,10640,a)]. 10642 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(7736(a,1),10589(a,1,1))]. 10643 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(5186(a,2),10642(a,1,2))]. 10645 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(6408(a,1),10643(a,1,1))]. 10646 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(255,a,7811,a(flip),b,10645,a)]. 10647 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(2081,a,10646,a)]. 10649 K(x \ (y * T(x * K(z,u),w)),u) = K(y * K(x * K(z,u),w),T(u,x)). [para(7967(a,1),10591(a,1,2)),flip(a)]. 10651 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3958(a,1),5095(a,1,2))]. 10652 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4970(a,1),5096(a,1,2)),flip(a)]. 10653 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(255,a,33,a,b,10652,a)]. 10657 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2263(a,2),10653(a,1,2))]. 10658 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(2809(a,1),10653(a,1,2)),flip(a)]. 10659 L(x,T((y \ 1) \ 1,z) \ u,w) = L(x,T(y,z) \ u,w). [para(3456(a,1),10653(a,1,2))]. 10660 L(x,T(1 / y,z) \ u,w) = L(x,T(y \ 1,z) \ u,w). [para(3514(a,1),10653(a,1,2))]. 10661 L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). [para(7026(a,1),10653(a,1,2))]. 10662 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(6519(a,1),10657(a,1,2))]. 10663 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(9252(a,1),10658(a,1,2,2)),flip(a)]. 10664 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(y \ 1,z) \ 1,x). [hyper(255,a,10547,a,b,10660,a(flip)),flip(a)]. 10665 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(6506(a,1),10663(a,1,2,2)),flip(a)]. 10666 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [hyper(5789,a,6210,a),flip(a)]. 10668 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [hyper(255,a,5998,a(flip),b,10666,a)]. 10669 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(5789,a,10668,a)]. 10670 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [hyper(6146,a,10669,a)]. 10672 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(255,a,7638,a(flip),b,10670,a(flip)),flip(a)]. 10673 K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(255,a,6040,a(flip),b,10672,a(flip)),flip(a)]. 10674 K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). [para(163(a,1),10672(a,1,1,2)),flip(a)]. 10675 K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). [hyper(255,a,8907,a(flip),b,10674,a)]. 10676 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ (x / ((z \ 1) * x)),z). [hyper(255,a,3702,a(flip),b,10674,a)]. 10677 K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). [hyper(255,a,10503,a(flip),b,10676,a(flip))]. 10679 K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(3436(a,2),10677(a,1,1,2))]. 10680 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [hyper(255,a,10673,a(flip),b,10679,a(flip)),flip(a)]. 10682 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [hyper(255,a,10675,a(flip),b,10680,a(flip)),flip(a)]. 10684 x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). [hyper(255,a,4859,a(flip),b,6702,a(flip)),flip(a)]. 10686 K(x,1 / x) * (y / L(x,z,u)) = y / (1 / (1 / L(x,z,u))). [para(7062(a,1),10684(a,1,2)),flip(a)]. 10687 L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). [para(9918(a,1),6744(a,1,1)),flip(a)]. 10688 L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). [para(7525(a,1),10687(a,1,2,2))]. 10690 L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). [hyper(255,a,45,a,b,10688,a)]. 10691 L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). [para(5556(a,1),10690(a,1,2))]. 10692 L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). [para(8738(a,2),10691(a,1,2))]. 10693 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(255,a,10559,a(flip),b,10692,a(flip)),flip(a)]. 10694 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(255,a,10215,a(flip),b,6976,a)]. 10696 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(9153(a,1),10694(a,1,3))]. 10697 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(10696(a,1),379(a,1,1)),flip(a)]. 10698 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(10697(a,1),9176(a,1,1))]. 10699 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). [para(10698(a,1),2168(a,1,1)),flip(a)]. 10700 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = K(R(x,y,z),u). [hyper(255,a,20,a(flip),b,7726,a)]. 10702 R(K(R(x,y,z),u),w,x) = K(R(x,y,z),u). [para(7725(a,1),10700(a,1,3))]. 10703 R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). [para(3332(a,1),8480(a,1,2,1)),flip(a)]. 10704 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3332(a,1),10703(a,1,2)),flip(a)]. 10706 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). [para(10704(a,1),578(a,1,1,1)),flip(a)]. 10708 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ T(y * L(y \ z,u,w),x)). [para(37(a,2),8661(a,2,2,2))]. 10709 K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,L(y \ z,u,w)). [hyper(255,a,7999,a(flip),b,10708,a)]. 10711 K(x,L((y * x) \ (z * x),u,w)) = K(x,L(y \ z,u,w)). [para(507(a,1),10709(a,1,2))]. 10712 K(x,L((y / x) \ z,u,w)) = K(x,L(y \ (z * x),u,w)). [para(21(a,1),10711(a,1,2,1,1)),flip(a)]. 10713 K(x,L(y \ (((y / x) * z) * x),u,w)) = K(x,L(z,u,w)). [para(18(a,1),10712(a,1,2,1)),flip(a)]. 10714 L(K(x,y \ (((y / x) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). [hyper(7021,a,10713,a)]. 10715 L(K(x,y \ (((x \ y) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). [para(8972(a,1),10714(a,1,1))]. 10716 L(K(x,y),((z / x) * y) * x,u) = K(x,L(y,z,u)). [para(7250(a,1),10715(a,1,1))]. 10717 K(L(x,(y / x) * z,u),z) = K(x,L(z,y,u)). [hyper(255,a,7046,a(flip),b,10716,a(flip)),flip(a)]. 10719 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(255,a,10481,a(flip),b,10717,a(flip))]. 10720 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(255,a,7075,a(flip),b,10719,a(flip)),flip(a)]. 10722 K(x,a(K(y,z),u,u \ 1)) = 1. [para(10312(a,1),10720(a,1,2))]. 10723 T(x,a(K(y,z),u,u \ 1)) = x. [hyper(42,a,10722,a)]. 10724 T(x,a(K(y,z),u \ 1,u)) = x. [para(3965(a,1),10723(a,1,2))]. 10725 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(40,a,10724,a)]. 10726 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(255,a,3952,a,b,10725,a)]. 10727 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5610(a,2),10726(a,1,1))]. 10728 K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u). [hyper(255,a,10196,a,b,10727,a(flip)),flip(a)]. 10729 K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u). [hyper(255,a,7570,a,b,10728,a(flip)),flip(a)]. 10730 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(255,a,8813,a(flip),b,8811,a)]. 10731 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [hyper(255,a,6850,a(flip),b,10730,a)]. 10732 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(255,a,10453,a(flip),b,10731,a(flip))]. 10734 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(255,a,9905,a,b,10732,a(flip)),flip(a)]. 10735 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(255,a,9670,a(flip),b,10734,a(flip)),flip(a)]. 10736 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(37(a,2),10735(a,1,2,1)),flip(a)]. 10737 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [hyper(255,a,9475,a(flip),b,10736,a(flip)),flip(a)]. 10738 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [hyper(255,a,9668,a(flip),b,10737,a)]. 10739 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [hyper(255,a,9414,a(flip),b,10738,a(flip)),flip(a)]. 10740 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(9467(a,1),8872(a,1,2))]. 10741 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(8138(a,1),10740(a,1,2))]. 10743 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(8548(a,1),10741(a,2,1))]. 10744 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(255,a,10263,a(flip),b,10743,a(flip)),flip(a)]. 10745 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(10219,a,10744,a)]. 10746 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(255,a,10295,a(flip),b,10745,a(flip)),flip(a)]. 10747 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). [hyper(7899,a,9051,a),flip(a)]. 10748 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(10562(a,1),9188(a,1,1)),flip(a)]. 10749 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(9837,a,10748,a),flip(a)]. 10751 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(7606,a,10749,a)]. 10752 K(((x \ y) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(7869(a,1),10751(a,1,1,2))]. 10753 K(((x / y) \ 1) * z,T(y / x,u)) * K((x / y) \ 1,T(z,u)) = a((x / y) \ 1,z,(x / y) \ 1). [para(10008(a,1),10751(a,1,1))]. 10754 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). [para(8203(a,1),9401(a,1,2))]. 10755 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(255,a,8370,a(flip),b,10754,a)]. 10757 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(18(a,1),9441(a,1,2,1))]. 10759 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(33(a,2),10757(a,1,2))]. 10760 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(255,a,8655,a(flip),b,10759,a(flip)),flip(a)]. 10761 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(255,a,7435,a(flip),b,10760,a)]. 10764 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(19(a,1),10761(a,2,2,2))]. 10765 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(4621(a,1),10764(a,1,1,2))]. 10766 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(7483,a,10765,a)]. 10768 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(255,a,10601,a(flip),b,10766,a(flip))]. 10769 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(127(a,1),9624(a,1,2))]. 10770 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(9987,a,10769,a)]. 10771 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(255,a,8750,a(flip),b,10770,a(flip)),flip(a)]. 10772 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(21(a,1),10771(a,1,2,1)),flip(a)]. 10773 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(255,a,8990,a(flip),b,10772,a)]. 10774 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(166(a,1),10773(a,1,2)),flip(a)]. 10775 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(10773(a,1),9625(a,1,2))]. 10776 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(255,a,7053,a(flip),b,10775,a(flip))]. 10777 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(81,a,10776,a(flip),b,127,a(flip))]. 10779 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(255,a,251,a(flip),b,10777,a(flip))]. 10781 (x / y) * K(z,z \ y) = x / ((z \ y) * z). [para(19(a,1),10779(a,1,1,2))]. 10782 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(21(a,1),10779(a,1,1,2))]. 10784 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(10779(a,1),7984(a,1,2))]. 10785 K(x \ y,z * (u / ((x \ y) * x))) = K(x \ y,z * (u / y)). [para(10781(a,1),8040(a,1,2,2))]. 10786 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [hyper(255,a,9521,a,b,10782,a(flip)),flip(a)]. 10787 (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. [para(10786(a,1),73(a,1,1)),flip(a)]. 10788 x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. [para(10787(a,2),3403(a,2,1))]. 10789 K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))). [hyper(255,a,9407,a(flip),b,9788,a(flip)),flip(a)]. 10790 K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(6614(a,1),9982(a,1,2))]. 10791 K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). [hyper(255,a,9315,a(flip),b,10790,a(flip)),flip(a)]. 10792 T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). [para(127(a,1),10240(a,1,1))]. 10793 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10539(a,1),10544(a,1,2,1))]. 10794 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(5560(a,1),10793(a,1,2))]. 10796 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(7539(a,2),10590(a,1,2,2,1))]. 10797 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(255,a,4930,a(flip),b,10651,a(flip)),flip(a)]. 10798 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(255,a,9823,a(flip),b,10747,a)]. 10800 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(255,a,8254,a(flip),b,10798,a)]. 10801 K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(5600(a,1),10796(a,1,2))]. 10802 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(4047(a,1),10797(a,1,2))]. 10803 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(5716,a,10802,a),flip(a)]. 10805 R(x,1 / y,z) = R(x,y \ 1,z). [para(691(a,1),10803(a,1,2)),flip(a)]. 10806 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(1250(a,1),10803(a,1,2)),flip(a)]. 10809 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(10805(a,1),3868(a,1,2))]. 10810 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(10806(a,1),122(a,1,1))]. 10811 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(10810(a,1),25(a,1))]. 10812 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(3065(a,1),10809(a,1,2,1))]. 10813 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4387(a,1),10812(a,1,2,1)),flip(a)]. 10815 (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(1310(a,1),4673(a,1,1))]. 10816 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1328(a,1),10815(a,1,2))]. 10817 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(636,a,10816,a),flip(a)]. 10818 a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(255,a,4787,a,b,10817,a(flip)),flip(a)]. 10819 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4446(a,1),10818(a,1,1))]. 10820 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(255,a,10313,a(flip),b,10819,a(flip)),flip(a)]. 10821 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4788,a,10820,a)]. 10822 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(10821(a,1),10314(a,2,1))]. 10823 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(255,a,10256,a(flip),b,10822,a(flip)),flip(a)]. 10824 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). [para(6979(a,1),6278(a,1,1)),flip(a)]. 10825 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(255,a,5753,a,b,10824,a)]. 10826 K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(3720,a,10825,a)]. 10827 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). [para(10826(a,1),5425(a,2,2))]. 10828 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) / K(y,z). [para(6807(a,1),7775(a,2,1))]. 10829 T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ x) = (x / y) \ T(x,y). [hyper(255,a,564,a(flip),b,7955,a)]. 10830 T(T(x,y) / (x / y),(T(x,y) / (x / y)) \ x) = (x * y) / x. [hyper(255,a,4131,a(flip),b,10829,a)]. 10831 (T(x,y) / (x / y)) \ x = x / ((x * y) / x). [para(10830(a,1),199(a,1,2)),flip(a)]. 10832 (x * y) / (((x * y) * y) / (x * y)) = (T(x * y,y) / x) \ (x * y). [para(20(a,1),10831(a,1,1,2)),flip(a)]. 10833 (T(x * y,y) / x) \ (x * y) = x * K(y,x * y). [hyper(255,a,6840,a(flip),b,10832,a(flip))]. 10834 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(255,a,10228,a(flip),b,9286,a)]. 10836 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(255,a,6580,a(flip),b,10834,a)]. 10837 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(6591(a,1),10836(a,1,2,2))]. 10838 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(255,a,9389,a(flip),b,9392,a)]. 10839 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(8486(a,1),10838(a,1,2,1,2,1))]. 10840 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(7309,a,9777,a),flip(a)]. 10841 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(9352,a,10840,a)]. 10842 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(7354,a,10841,a)]. 10843 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(383(a,1),10842(a,1,2,1,2))]. 10844 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(255,a,9934,a(flip),b,10843,a(flip))]. 10845 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(7353,a,10844,a)]. 10846 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(255,a,7251,a,b,10844,a(flip)),flip(a)]. 10847 K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5265(a,1),10844(a,1,2,1)),flip(a)]. 10848 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(10844(a,1),7255(a,1,2,2))]. 10849 K(x,(y * z) \ (u * x)) != w | K(x,(y * (z / x)) \ u) = w. [para(10844(a,1),7353(a,1))]. 10850 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(10844(a,1),7256(a,1,1))]. 10851 K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5699(a,2),10847(a,1,2,1,1))]. 10852 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(5694,a,10848,a),flip(a)]. 10853 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(7272,a,10852,a)]. 10854 K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. [para(10852(a,1),7272(a,1))]. 10855 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [hyper(255,a,5816,a,b,10851,a(flip)),flip(a)]. 10856 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(255,a,10846,a(flip),b,10850,a(flip))]. 10857 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(255,a,8935,a(flip),b,10856,a(flip)),flip(a)]. 10858 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(255,a,7942,a,b,10857,a(flip))]. 10859 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(255,a,9482,a(flip),b,10858,a)]. 10860 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(21(a,1),10859(a,1,2,1)),flip(a)]. 10861 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(255,a,7649,a(flip),b,10860,a(flip))]. 10862 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(255,a,6580,a(flip),b,10861,a)]. 10863 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(5502,a,10862,a),flip(a)]. 10864 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(255,a,7250,a(flip),b,10862,a(flip))]. 10865 K(x,x \ (y * (x * z))) = K(x,y * z). [para(18(a,1),10863(a,2,2,2))]. 10866 (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). [para(10863(a,1),6670(a,1,1,2))]. 10867 T(1 / (1 / x),y) \ T(1 / (K(x,z * (x \ u)) / x),y) = K(x \ (z * u),T(x,y)). [para(10863(a,1),10581(a,1,2,1,2,1))]. 10868 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(255,a,8660,a,b,10864,a(flip)),flip(a)]. 10869 K(x,x \ (y * (z * x))) = K(x,y * z). [hyper(255,a,8785,a,b,10865,a(flip)),flip(a)]. 10870 K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). [para(10869(a,1),8190(a,1,2)),flip(a)]. 10872 L(K(x,x \ y),y,z) = K(x,x \ y). [para(18(a,1),10868(a,1,3))]. 10874 a(x,y,K(z,z \ y)) = 1. [hyper(39,a,10872,a)]. 10875 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(255,a,7803,a(flip),b,10872,a(flip)),flip(a)]. 10876 a(x,y,K(z \ y,z)) = 1. [para(5389(a,1),10874(a,1,3))]. 10877 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(38,a,10876,a)]. 10878 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(8699,a,10877,a)]. 10879 K((x * y) \ z,y) = K(y \ (x \ z),y). [hyper(7304,a,10877,a)]. 10881 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(255,a,8969,a(flip),b,10875,a(flip))]. 10882 K(x,x \ (y \ (x * z))) = K(x,y \ z). [para(18(a,1),10875(a,1,2,2)),flip(a)]. 10883 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(19(a,1),10878(a,1,1,2,2))]. 10884 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(10878(a,1),8747(a,1,2))]. 10885 K((x * y) \ z,x) = K(x \ (y \ z),x). [hyper(255,a,6970,a(flip),b,10879,a(flip)),flip(a)]. 10886 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(255,a,7761,a(flip),b,10883,a(flip))]. 10887 K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [para(1420(a,1),10885(a,1,1,1)),flip(a)]. 10888 K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(4966(a,1),10886(a,1,1,2,1))]. 10890 K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). [para(8072(a,1),10870(a,1,2)),flip(a)]. 10891 R(x,y,K(z \ y,z)) = x. [hyper(757,a,10884,a)]. 10893 R(x,y / z,z) = R(x,z \ y,z). [hyper(255,a,10575,a(flip),b,10891,a(flip))]. 10894 R(x,y * z,K(z,y)) = x. [para(18(a,1),10891(a,1,3,1))]. 10895 R(x,y,T(z,y)) = R(x,y,z). [hyper(7345,a,10894,a)]. 10896 (x * (y * z)) * K(z,y) = x * (z * y). [para(10894(a,1),464(a,1,1)),flip(a)]. 10903 R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). [para(7539(a,2),10895(a,1,3))]. 10904 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(10895(a,1),10248(a,2,2))]. 10907 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [hyper(255,a,8711,a(flip),b,10893,a(flip))]. 10908 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(255,a,6373,a(flip),b,10893,a(flip))]. 10911 K(x,L(y,x,z)) = K(x,y). [hyper(7054,a,10896,a)]. 10912 K(L(x,y,z),y) = K(x,y). [hyper(255,a,9096,a,b,10911,a(flip)),flip(a)]. 10914 L(K(x,y),z,y * x) = K(x,y). [hyper(255,a,10774,a(flip),b,10911,a(flip)),flip(a)]. 10915 T(x,L(y,x,z)) = x * K(x,y). [para(10911(a,1),5252(a,2,2))]. 10917 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(10911(a,1),9323(a,1,1))]. 10921 K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [para(448(a,1),10912(a,1,1))]. 10923 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(10914(a,1),10151(a,1,1))]. 10924 T(x,L(y,x,z)) = T(x,y). [hyper(255,a,5252,a,b,10915,a)]. 10927 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(255,a,8065,a(flip),b,10924,a(flip)),flip(a)]. 10928 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(10924(a,1),127(a,1,2))]. 10930 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(448(a,1),10924(a,1,2))]. 10931 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(10924(a,1),7351(a,1,1,2)),flip(a)]. 10935 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(10928(a,1),1426(a,1,2,2))]. 10936 L(x,T(y,x),z) = L(x,y,z). [hyper(255,a,33,a,b,10931,a),flip(a)]. 10938 L(x,y / x,z) = L(x,x \ y,z). [para(129(a,1),10936(a,1,2)),flip(a)]. 10941 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [hyper(255,a,508,a(flip),b,10938,a(flip))]. 10942 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(10938(a,1),7071(a,1,1))]. 10943 K(x \ (y * z),x) = K(y * (x \ z),x). [hyper(6693,a,10866,a),flip(a)]. 10944 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(19(a,1),10943(a,1,1,2)),flip(a)]. 10945 K(K(x,y) * (z \ T(y,x)),z) = K(z \ y,z). [para(5207(a,1),10943(a,1,1,2)),flip(a)]. 10946 K((T(x,y) / z) \ x,T(x,y) / z) = K(K(y,x) * z,T(x,y) / z). [para(73(a,1),10945(a,1,1,2)),flip(a)]. 10947 K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(4966(a,1),10881(a,1,2,2,1,2))]. 10948 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(10881(a,1),7046(a,1,1)),flip(a)]. 10949 (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,K(x,y),y * x). [para(10923(a,2),267(a,1,2))]. 10951 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(255,a,9321,a(flip),b,10917,a(flip))]. 10953 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(255,a,10128,a(flip),b,10951,a(flip)),flip(a)]. 10954 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(905(a,1),10951(a,1,1)),flip(a)]. 10956 L(x,K(y,z),z * y) = L(x,z * y,K(y,z)). [hyper(5355,a,10949,a),flip(a)]. 10957 L(x,K(y,z),z * y) != u | L(x,z * y,K(y,z)) = u. [para(10949(a,1),5355(a,1))]. 10958 L(L(x,y,z),K(y,z),z * y) = L(x,T(y,z),z). [hyper(255,a,7264,a(flip),b,10956,a)]. 10959 L(L(x,y,z),K(y,z),z * y) != u | L(x,T(y,z),z) = u. [para(10956(a,2),7265(a,1))]. 10960 a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(255,a,10246,a(flip),b,10904,a)]. 10961 a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). [hyper(7303,a,10960,a)]. 10962 a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). [para(45(a,2),10961(a,1,3))]. 10963 (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). [hyper(255,a,2752,a(flip),b,10962,a(flip)),flip(a)]. 10964 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(255,a,7661,a(flip),b,10954,a)]. 10965 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(255,a,615,a(flip),b,10964,a)]. 10966 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(9354,a,10965,a)]. 10968 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(10326,a,10966,a)]. 10969 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = K(L(x,y,z),(u * w) \ v5). [hyper(255,a,7046,a(flip),b,10948,a)]. 10970 K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). [hyper(255,a,9145,a(flip),b,10963,a(flip)),flip(a)]. 10971 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [hyper(10350,a,10921,a)]. 10972 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(255,a,45,a,b,10930,a(flip)),flip(a)]. 10973 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(255,a,10953,a(flip),b,10971,a(flip))]. 10975 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(9728(a,1),10972(a,1,1))]. 10976 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(10927(a,1),10975(a,1,1)),flip(a)]. 10977 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10976(a,1),5546(a,1,2,1))]. 10979 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(255,a,5673,a(flip),b,10977,a(flip))]. 10980 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),x \ u). [para(10979(a,1),9158(a,1,2)),flip(a)]. 10981 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(127(a,1),10935(a,1,1,1))]. 10982 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1841,a,10981,a),flip(a)]. 10983 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(127(a,1),10982(a,1,2))]. 10984 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(8674,a,10983,a),flip(a)]. 10986 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(10984(a,1),7046(a,1,1))]. 10987 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(255,a,7046,a(flip),b,10986,a(flip))]. 10988 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(10987(a,1),10467(a,1,1))]. 10989 L(K(x,x * y),y,z) = K(x,x * y). [para(9107(a,1),10988(a,1,1))]. 10991 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(7521,a,10989,a)]. 10992 K(x,x * ((y * z) \ y)) = K(x,z \ x). [hyper(255,a,10510,a(flip),b,10989,a(flip))]. 10993 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(255,a,10457,a(flip),b,10989,a(flip)),flip(a)]. 10994 K(x,y \ ((y * z) * x)) = K(x,x * z). [hyper(255,a,10456,a(flip),b,10989,a(flip)),flip(a)]. 10995 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(10989(a,2),5394(a,1,2))]. 10999 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(10849,a,10993,a)]. 11001 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(255,a,7701,a(flip),b,10993,a(flip)),flip(a)]. 11002 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1423(a,1),10993(a,1,2))]. 11003 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(10993(a,1),7046(a,1,1))]. 11005 K(x,y \ ((y * z) * x)) = K(x,z * x). [hyper(255,a,5842,a,b,10994,a)]. 11006 L(K(x,y * x),y,z) = K(x,y * x). [hyper(255,a,10458,a,b,11005,a(flip)),flip(a)]. 11008 a(x,y,K(z,y * z)) = 1. [hyper(39,a,11006,a)]. 11009 L(K(x * y,x),y,z) = K(x * y,x). [hyper(6485,a,10995,a)]. 11010 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(255,a,10392,a(flip),b,11009,a(flip)),flip(a)]. 11011 L(K(x * y,y),x,z) = K(y * x,y). [para(5894(a,2),11009(a,1,1))]. 11012 L(K(x * y,y),x,z) = K(x * y,y). [hyper(255,a,5894,a,b,11011,a)]. 11013 a(x,y,K(y * z,z)) = 1. [hyper(39,a,11012,a)]. 11014 K(x \ (y * (x * z)),y) = K(z * y,y). [hyper(255,a,10398,a(flip),b,11012,a(flip)),flip(a)]. 11015 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(10854,a,11010,a)]. 11016 K((x / y) \ z,y) = K(y * (x \ z),y). [hyper(8695,a,11010,a)]. 11017 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(8685,a,11010,a)]. 11018 K(x * ((y * x) \ z),x) = K(y \ z,x). [hyper(8684,a,11010,a),flip(a)]. 11019 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(8039,a,11010,a)]. 11021 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(255,a,7846,a(flip),b,11010,a(flip))]. 11022 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(11010(a,1),5991(a,1,1,1,2))]. 11024 K(x,y \ z) * K(x * (y \ z),x) = a(x,(z \ y) \ 1,x). [para(11010(a,1),9157(a,1,2))]. 11026 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(10991(a,1),5252(a,2,2))]. 11027 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(11015(a,1),5992(a,1,1,1,2))]. 11028 T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). [hyper(255,a,5252,a,b,11026,a)]. 11029 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(255,a,10739,a(flip),b,11028,a(flip)),flip(a)]. 11030 T(x,y \ (z * x)) = T(x,x * (y \ z)). [hyper(255,a,8085,a,b,11029,a(flip)),flip(a)]. 11031 T(x,x * (y \ z)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(11030(a,1),7109(a,1,1))]. 11032 a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. [para(11024(a,1),9180(a,1))]. 11033 L(x,(y \ z) \ 1,x) = L(x,z \ y,x). [hyper(255,a,5707,a(flip),b,11031,a(flip))]. 11034 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(255,a,7046,a(flip),b,11003,a(flip))]. 11035 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(9923,a,11034,a)]. 11036 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(255,a,10837,a(flip),b,11035,a(flip))]. 11037 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(255,a,5991,a(flip),b,11022,a(flip))]. 11038 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(255,a,7041,a,b,11037,a(flip)),flip(a)]. 11039 K(x \ (y * z),T(x,u)) = K(y * (x \ z),T(x,u)). [hyper(255,a,10581,a(flip),b,10867,a(flip))]. 11040 K(x * (y \ 1),T(y,z)) = K(y \ x,T(y,z)). [para(17(a,1),11039(a,1,1,2)),flip(a)]. 11041 K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * ((1 / (x \ y)) \ 1),T(1 / (x \ y),x)). [para(7868(a,1),11040(a,1,2)),flip(a)]. 11042 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(255,a,10973,a(flip),b,10887,a(flip)),flip(a)]. 11043 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(255,a,10968,a(flip),b,11042,a(flip)),flip(a)]. 11044 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(255,a,11017,a(flip),b,11043,a(flip)),flip(a)]. 11045 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [hyper(255,a,10126,a(flip),b,11044,a)]. 11046 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [hyper(8070,a,11045,a)]. 11047 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(255,a,10973,a(flip),b,10888,a(flip)),flip(a)]. 11048 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(255,a,10968,a(flip),b,11047,a(flip)),flip(a)]. 11049 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(255,a,6917,a(flip),b,11048,a(flip)),flip(a)]. 11050 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(8070,a,11049,a)]. 11051 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(255,a,9924,a(flip),b,11050,a)]. 11052 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(59(a,1),11051(a,2,1))]. 11053 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(255,a,11046,a(flip),b,11052,a(flip)),flip(a)]. 11054 K(x * y,L(y,z,u)) * K(L(y,z,u),L(y,z,u) \ (x * L(y,z,u))) = a(L(y,z,u),L(y,z,u) \ (x * L(y,z,u)),L(y,z,u)). [para(11052(a,1),9158(a,1,1))]. 11055 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [hyper(255,a,10126,a,b,11053,a(flip)),flip(a)]. 11056 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [hyper(255,a,9922,a,b,11053,a(flip)),flip(a)]. 11057 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [hyper(255,a,9097,a(flip),b,11053,a(flip))]. 11058 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(255,a,9924,a,b,11056,a(flip)),flip(a)]. 11059 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = a(x,x \ u,L(x,y,z)). [hyper(255,a,10970,a(flip),b,10980,a)]. 11060 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),T(u,x)). [para(37(a,2),10980(a,2,2,2))]. 11061 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(6797,a,11027,a),flip(a)]. 11063 (x \ y) * K((x \ 1) \ (x \ y),y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(19(a,1),9879(a,1,2,2,1))]. 11064 x \ T(y,((x \ 1) \ (x \ y)) \ z) = x \ T(y,y \ z). [hyper(6984,a,11063,a),flip(a)]. 11065 K(x,y \ T(z,z \ x)) = K(x,y \ z). [para(11064(a,1),9022(a,1,2))]. 11066 K(x,y \ ((z \ x) \ x)) = K(x,y \ z). [para(128(a,1),11065(a,1,2,2))]. 11067 K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [hyper(255,a,6605,a(flip),b,11066,a(flip))]. 11068 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(4505(a,1),10193(a,1,2))]. 11069 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(255,a,5986,a(flip),b,11068,a)]. 11070 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(7432(a,1),11069(a,1,1,1,1))]. 11071 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(6457(a,1),11070(a,1,1))]. 11073 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(9612(a,1),11071(a,1,1))]. 11074 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(23,a,10801,a,b,10729,a),flip(a)]. 11075 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2815(a,1),11074(a,1,2,2))]. 11076 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(255,a,8154,a,b,11075,a)]. 11077 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(11075(a,1),8140(a,1,2)),flip(a)]. 11078 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(472(a,1),11076(a,1,2,2))]. 11079 K(x,K(y,z / (1 / u))) = K(x,K(y,z * u)). [para(73(a,1),11078(a,1,2,2,2)),flip(a)]. 11080 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(5798(a,1),11078(a,1,2)),flip(a)]. 11081 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(5801(a,2),11078(a,1,2))]. 11082 K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). [hyper(8561,a,11079,a)]. 11083 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(8561,a,11080,a)]. 11084 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(8183,a,11080,a)]. 11085 K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). [para(7523(a,1),11080(a,1,2)),flip(a)]. 11086 K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). [para(7995(a,1),11081(a,1,2)),flip(a)]. 11087 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(21(a,1),11083(a,2,2,2))]. 11088 (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). [para(11086(a,1),8150(a,1,2))]. 11089 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(8136,a,11087,a)]. 11090 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(255,a,8463,a(flip),b,11089,a(flip)),flip(a)]. 11092 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(11090(a,1),9851(a,1,1))]. 11093 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(11090(a,1),10150(a,1,1))]. 11094 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(8154(a,1),11093(a,1,1))]. 11096 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(255,a,9314,a(flip),b,11094,a(flip)),flip(a)]. 11097 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(70(a,1),11096(a,1,2,2,2))]. 11098 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(8180,a,11092,a)]. 11099 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(70(a,1),11092(a,1,2)),flip(a)]. 11101 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(8099(a,1),11098(a,1,1))]. 11102 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(8138(a,1),11099(a,2,1))]. 11103 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(9853,a,11101,a)]. 11104 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [para(11102(a,1),73(a,1,1))]. 11105 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(255,a,5345,a,b,11104,a(flip)),flip(a)]. 11106 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(39,a,11105,a)]. 11107 a(K(x * y,K(z,u)),x,y) = 1. [para(18(a,1),11106(a,1,3))]. 11108 a(K(K(x,y),z),u,u \ z) = 1. [para(6092(a,2),11106(a,1,1))]. 11109 a(K(x,K(y,z * u)),z,u) = 1. [para(8099(a,1),11107(a,1,1))]. 11110 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(255,a,8178,a,b,11108,a)]. 11111 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(255,a,8105,a(flip),b,11077,a)]. 11112 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(255,a,9631,a(flip),b,11111,a(flip)),flip(a)]. 11113 K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). [para(7542(a,1),11085(a,1,2))]. 11114 T(x,K(y,z * (x \ 1))) = T(x,K(y,x \ z)). [hyper(7565,a,11112,a)]. 11116 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(8242(a,1),11112(a,1,2)),flip(a)]. 11117 T(x,K(y,z * (x \ 1))) = T(x,K(y,z)). [hyper(255,a,8387,a(flip),b,11114,a)]. 11118 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [para(5798(a,1),11117(a,1,2))]. 11119 T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(11118(a,1),5407(a,1,1))]. 11120 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(8263(a,1),11116(a,1,2)),flip(a)]. 11121 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [hyper(8569,a,11120,a),flip(a)]. 11122 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [hyper(8564,a,11121,a),flip(a)]. 11123 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [hyper(8536,a,11122,a)]. 11124 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [hyper(255,a,5252,a(flip),b,11123,a)]. 11125 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(5323,a,11124,a)]. 11126 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(11097(a,1),11110(a,2,2))]. 11127 T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. [hyper(255,a,8126,a(flip),b,11088,a(flip))]. 11128 T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. [para(7539(a,2),11127(a,2,1))]. 11129 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [para(8543(a,1),11128(a,2,1))]. 11130 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(11129(a,2),6718(a,1,1))]. 11131 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(8138(a,2),11126(a,2,2))]. 11132 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(6092(a,1),11131(a,1,1))]. 11133 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [hyper(255,a,6673,a(flip),b,10828,a)]. 11134 ((x * (K(y,z) * R(z,u,w))) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(6807(a,1),11133(a,1,1,1))]. 11135 R((x * (K(y,z) * z)) / (x * K(y,z)),u,w) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(2143(a,2),11134(a,1,1))]. 11136 R((x * (y * K(z,y))) / (x * K(z,y)),u,w) * x = (x * (K(z,y) * R(y,u,w))) * K(y,z). [para(3141(a,1),11135(a,1,1,1,1,2))]. 11137 R((x * y) / x,z,u) * x = (x * (K(w,y) * R(y,z,u))) * K(y,w). [para(9515(a,1),11136(a,1,1,1))]. 11138 (x * (K(y,z) * R(z,u,w))) * K(z,y) = x * R(z,u,w). [hyper(807,a,11137,a),flip(a)]. 11140 (x * (R(y,z,u) * K(w,y))) * K(y,w) = x * R(y,z,u). [para(3146(a,2),11138(a,1,1,2))]. 11141 L(K(x,y),R(x,z,u),w) = K(x,y). [hyper(7085,a,11140,a)]. 11142 K(x,(y \ 1) * R(x,z,u)) = K(x,y \ R(x,z,u)). [hyper(255,a,7018,a(flip),b,11141,a(flip)),flip(a)]. 11143 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [hyper(255,a,8053,a,b,11142,a(flip)),flip(a)]. 11144 K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). [hyper(255,a,6265,a(flip),b,4693,a(flip))]. 11145 K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). [hyper(255,a,6005,a(flip),b,11144,a(flip))]. 11147 T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). [hyper(255,a,8406,a(flip),b,11145,a(flip)),flip(a)]. 11148 K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). [hyper(255,a,6005,a(flip),b,11145,a(flip))]. 11150 T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). [para(10183(a,1),11147(a,1,1))]. 11151 K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). [hyper(7895,a,11150,a)]. 11152 K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). [hyper(9329,a,11151,a),flip(a)]. 11154 (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(3936(a,1),4987(a,1,1,2))]. 11155 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,z,K(y,y \ 1) * u). [para(4955(a,2),5100(a,1,1,1,2))]. 11156 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(8138(a,1),6866(a,1,2,2))]. 11157 x \ (R(x,y,x) * T(x * (R(x,y,x) \ K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(1307(a,1),6891(a,1,2,2,1))]. 11158 L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(9284(a,1),7253(a,1,1))]. 11159 K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). [hyper(7305,a,11158,a),flip(a)]. 11160 K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2374(a,1),11159(a,1,2,1,2))]. 11161 K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). [hyper(255,a,10845,a(flip),b,11160,a(flip)),flip(a)]. 11162 K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). [hyper(255,a,7268,a(flip),b,11161,a(flip))]. 11163 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). [para(5988(a,1),11162(a,1,2,1)),flip(a)]. 11164 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,x * y)). [para(8154(a,1),10399(a,2,2))]. 11165 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [hyper(5934,a,10794,a)]. 11166 (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(3936(a,1),11154(a,1,2))]. 11167 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(4994(a,1),11155(a,1,1))]. 11168 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x * y,T(x,z)) \ 1,K(x * y,x),y). [para(7539(a,2),11156(a,2,1,1))]. 11169 x \ (R(x,y,x) * T(x * (T(x,y) \ 1),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(6389(a,1),11157(a,1,2,2,1,2))]. 11170 x \ (R(x,y,x) * T(K(y,x),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(5184(a,2),11169(a,1,2,2,1))]. 11171 x \ (R(x,y,x) * K(y,T(x,z))) = (x \ R(x,y,x)) * T(K(y,x),z). [para(7539(a,2),11170(a,1,2,2))]. 11172 (x \ R(x,y,x)) * T(K(y,x),z) = R(x,y,x) * (x \ K(y,T(x,z))). [hyper(1316,a,11171,a),flip(a)]. 11173 (x \ R(x,y,x)) * T(K(y,x),z) = T(x,T(y,z)) \ R(x,y,x). [hyper(255,a,7785,a(flip),b,11172,a)]. 11174 K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). [hyper(255,a,8942,a(flip),b,11173,a(flip)),flip(a)]. 11175 T(x,T(y,z)) \ R(x,y,x) = K(y * x,T(x,z)). [hyper(8691,a,11174,a),flip(a)]. 11176 K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). [hyper(255,a,9165,a(flip),b,11175,a(flip)),flip(a)]. 11177 K(x / y,z) * a(z,y \ x,z) = K((y \ x) * z,T(z,y)). [para(8254(a,1),11176(a,1,1))]. 11178 K(x * y,T(y,z)) \ (K(x,T(y,z)) * y) = L(y,x,y). [para(11176(a,1),9370(a,1,1))]. 11179 K(x * y,T(y,z)) \ (y * K(x,T(y,z))) = L(y,x,y). [para(7613(a,1),11178(a,1,2))]. 11180 K(x,T(y * x,z)) * (x * K(y,T(x,z))) = L(x,y,x). [hyper(7600,a,11179,a)]. 11181 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,y,x). [hyper(5634,a,11180,a)]. 11182 L(x,T(y \ 1,z) \ 1,x) = L(x,y,x). [hyper(255,a,10664,a(flip),b,11181,a(flip)),flip(a)]. 11184 L(x,T(y,z) \ 1,x) = L(x,y \ 1,x). [hyper(255,a,10659,a(flip),b,11182,a(flip)),flip(a)]. 11185 L(x,(y / z) \ 1,x) = L(x,(z \ y) \ 1,x). [para(129(a,1),11184(a,1,2,1)),flip(a)]. 11186 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [hyper(255,a,11033,a(flip),b,11185,a)]. 11187 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(19(a,2),11186(a,1,2))]. 11188 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,y)). [para(8131(a,1),11164(a,2,2))]. 11189 K(x \ (y * (x * z)),y) * K(x,K(y,z)) = L(K(y * z,T(y,x)),z,x). [para(8187(a,1),11188(a,1,1)),flip(a)]. 11190 K(x \ (y * (x * z)),y) * K(x,K(y,z)) = K((x / (x * z)) \ y,y). [hyper(255,a,10537,a(flip),b,11189,a)]. 11191 K((x / (x * y)) \ z,z) = K(y * z,z) * K(x,K(z,y)). [para(11014(a,1),11190(a,1,1)),flip(a)]. 11192 K((x / (x * y)) \ z,z) = K(z * y,z) * K(x,K(z,y)). [para(5894(a,1),11191(a,2,1))]. 11194 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(255,a,8191,a(flip),b,11192,a)]. 11195 K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). [para(19(a,1),11194(a,1,1,1,2)),flip(a)]. 11196 K((x \ y) * z,T(z,x)) = K((x / y) \ z,z). [hyper(255,a,6408,a,b,11195,a(flip)),flip(a)]. 11197 K(x / y,z) * a(z,y \ x,z) = K((y / x) \ z,z). [hyper(255,a,11177,a,b,11196,a(flip)),flip(a)]. 11198 K(x,y / z) * K((z / y) \ x,x) = a(x,z \ y,x). [hyper(5622,a,11197,a)]. 11199 T(x,(y / z) \ x) \ T(x,z / y) = a(x,y \ z,x). [hyper(255,a,5865,a,b,11198,a(flip)),flip(a)]. 11200 T(x,(y / z) \ x) \ T(x,(y / z) \ 1) = a(x,y \ z,x). [para(4661(a,2),11199(a,1,2))]. 11201 T(x,(y / z) \ x) \ T(x,x \ ((y / z) \ x)) = a(x,y \ z,x). [para(4409(a,2),11200(a,1,2))]. 11202 T(x,(y / z) \ x) \ ((x \ ((y / z) \ x)) \ ((y / z) \ x)) = a(x,y \ z,x). [hyper(255,a,381,a(flip),b,11201,a(flip)),flip(a)]. 11203 a(x,(y / z) \ 1,x) = a(x,y \ z,x). [hyper(255,a,9194,a(flip),b,11202,a(flip)),flip(a)]. 11204 a(x,(y * z) \ z,x) = a(x,y \ 1,x). [para(20(a,1),11203(a,1,2,1)),flip(a)]. 11206 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [hyper(8657,a,11165,a)]. 11207 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(4997,a,11166,a)]. 11208 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(29(a,2),11167(a,1,1,1))]. 11209 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [hyper(6675,a,11208,a)]. 11211 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(255,a,5100,a,b,11209,a(flip)),flip(a)]. 11212 a(x,y,1 / z) = a(x,y,z \ 1). [para(1455(a,1),11209(a,1,3))]. 11214 a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). [para(4990(a,1),11209(a,1,3))]. 11216 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(2247(a,1),11211(a,1,1,1,2,2))]. 11217 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x,T(x * y,z)),K(x * y,x),y). [para(7575(a,1),11168(a,2,1))]. 11218 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). [hyper(255,a,9204,a(flip),b,11217,a)]. 11221 K(x,T(y / z,y) \ y) \ (K(x,z) * K(y,K(u,y * K(x,z)))) = K(y,T(y * K(x,z),u)). [para(7224(a,2),11218(a,1,1))]. 11222 K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). [para(7996(a,1),11221(a,1,2,2))]. 11223 K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). [para(17(a,1),11222(a,1,2))]. 11224 K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). [hyper(5623,a,11223,a)]. 11225 K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). [para(7225(a,1),11224(a,1,1))]. 11226 K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). [hyper(255,a,8028,a(flip),b,11225,a)]. 11227 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(255,a,7360,a(flip),b,11226,a(flip)),flip(a)]. 11228 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(11227(a,1),6171(a,1,1,1,2))]. 11229 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(5252(a,2),11228(a,1,1,1))]. 11230 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(6800,a,11229,a)]. 11231 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(11230(a,1),10755(a,1,1))]. 11232 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10853(a,1),11231(a,1,1,2,2))]. 11233 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(4994(a,1),11207(a,1,1))]. 11234 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(29(a,2),11233(a,1,1,1))]. 11235 a(x,K(y,y \ 1) * z,u) = a(x,z,u). [hyper(6675,a,11234,a)]. 11238 a(x,(y \ 1) \ 1,z) = a(x,y,z). [para(1456(a,1),11235(a,1,2))]. 11239 a(x,y * K(z,z \ 1),u) = a(x,y,u). [para(2247(a,1),11235(a,1,2))]. 11240 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5557(a,1),5597(a,1,1))]. 11241 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(11240(a,1),9537(a,1,2,2))]. 11242 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1). [para(9765(a,1),6368(a,1,1))]. 11243 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u). [para(6366(a,1),11242(a,2,2))]. 11244 R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). [para(7910(a,1),11243(a,1,1,1))]. 11245 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [para(11244(a,1),70(a,1,2))]. 11247 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [hyper(255,a,9767,a(flip),b,11245,a(flip)),flip(a)]. 11248 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(6418(a,1),11247(a,1,1))]. 11249 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7539(a,2),11248(a,2,1))]. 11250 ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). [para(8598(a,1),11249(a,2,1))]. 11251 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(255,a,4907,a(flip),b,7179,a)]. 11252 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(255,a,1438,a(flip),b,11251,a)]. 11253 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(1439(a,1),11252(a,1,2))]. 11254 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(80,a,5144,a(flip),b,11253,a)]. 11255 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). [hyper(255,a,7628,a(flip),b,7232,a)]. 11256 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(279(a,1),11255(a,2,1,2))]. 11257 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1840(a,1),11256(a,1,2)),flip(a)]. 11258 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(255,a,7051,a(flip),b,11257,a(flip)),flip(a)]. 11259 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(255,a,7032,a(flip),b,11257,a(flip))]. 11260 (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(5220(a,1),9036(a,1,1))]. 11261 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(636,a,11260,a),flip(a)]. 11262 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(11260(a,1),636(a,1))]. 11263 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5536(a,1),11261(a,1,2)),flip(a)]. 11264 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(5600(a,1),9201(a,1,1,1))]. 11265 (K(x,T(y,z)) * K(y,T(u,z))) \ 1 = (K(y,u) * K(x,y)) \ K(K(y,u) * K(x,y),z * K(u,y)). [para(10299(a,1),9209(a,1,1))]. 11266 x / T((K(y,z) * K(u,y)) * x,K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. [para(16(a,1),9216(a,1,2,1,1))]. 11267 x / T(K(y,z) * (K(u,y) * x),K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. [para(10270(a,1),11266(a,1,2,1))]. 11268 T(x,L(T(T(y * z,z) / y,y * K(z,y * z)),u,w)) = T(x,L((y * z) / y,u,w)). [para(10833(a,1),9889(a,1,2,1,2))]. 11269 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(21(a,1),9966(a,2,1))]. 11270 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [hyper(255,a,6741,a(flip),b,11269,a),flip(a)]. 11271 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ T(K(y \ x,z),u). [para(70(a,1),9988(a,1,2,1)),flip(a)]. 11273 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ K(y \ x,T(z,u)). [para(7539(a,2),11271(a,2,2))]. 11274 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(z,T(x / y,u)) * K(y \ x,T(z,u)). [hyper(255,a,7597,a(flip),b,11273,a)]. 11275 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). [hyper(255,a,8499,a(flip),b,11274,a(flip))]. 11277 K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. [para(11275(a,2),8563(a,1))]. 11278 K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,T(y,z)) * u,w) * K(y,x). [hyper(255,a,8382,a(flip),b,10113,a)]. 11279 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). [para(10289(a,1),10291(a,2,2,1,1))]. 11280 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5381(a,1),11279(a,2,2,1))]. 11282 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5381(a,1),11280(a,1,1,2,1))]. 11283 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(255,a,5620,a(flip),b,11282,a(flip)),flip(a)]. 11284 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). [para(11282(a,1),453(a,1,1,1)),flip(a)]. 11285 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). [para(11282(a,2),10198(a,1,1))]. 11287 R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(8100(a,1),11285(a,1,1,1,2,1))]. 11288 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(73(a,1),10633(a,2,2,2,1,1,2))]. 11289 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(73(a,1),11288(a,1,2))]. 11290 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(11289(a,1),10323(a,1,1))]. 11291 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(255,a,7193,a(flip),b,11290,a(flip)),flip(a)]. 11292 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(10784,a,11291,a),flip(a)]. 11293 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(127(a,1),11291(a,1,2,2)),flip(a)]. 11294 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(10171,a,11292,a),flip(a)]. 11295 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(255,a,9243,a(flip),b,11292,a(flip)),flip(a)]. 11296 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(11295(a,1),5252(a,2,2)),flip(a)]. 11297 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(19(a,1),11294(a,1,2,2,2)),flip(a)]. 11298 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(35(a,2),11297(a,2,2))]. 11300 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(10163,a,11298,a)]. 11301 K(x,R(y,x,z)) = K(x,y). [hyper(255,a,10914,a(flip),b,11298,a(flip))]. 11303 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(255,a,9615,a,b,11301,a(flip)),flip(a)]. 11304 K(R(x,y,z),y) = K(x,y). [hyper(255,a,9493,a,b,11301,a(flip)),flip(a)]. 11305 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(255,a,9861,a(flip),b,11301,a(flip)),flip(a)]. 11306 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(255,a,6377,a(flip),b,11301,a(flip)),flip(a)]. 11307 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(51(a,1),11301(a,1,2))]. 11310 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(255,a,11304,a,b,11304,a)]. 11315 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(11310(a,1),9496(a,1,2)),flip(a)]. 11317 K(x / (y * z),y) = K(y \ (x / z),y). [hyper(6509,a,11306,a)]. 11318 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(10784,a,11305,a)]. 11320 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(255,a,8722,a,b,11305,a(flip)),flip(a)]. 11321 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [hyper(255,a,11291,a(flip),b,11305,a(flip)),flip(a)]. 11322 T(x,R(y,x,z)) = T(x,y). [hyper(255,a,7445,a(flip),b,11315,a)]. 11324 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(481(a,1),11322(a,1,2))]. 11325 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(255,a,8881,a,b,11317,a(flip)),flip(a)]. 11326 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(11318(a,1),11296(a,1,2))]. 11327 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(18(a,1),11320(a,1,2,1)),flip(a)]. 11328 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(11325(a,1),7626(a,1,1))]. 11329 K(x,x \ ((y \ 1) \ (x * z))) = K(x,z / T(y \ 1,y * (x * z))). [para(4545(a,1),11327(a,1,2,2))]. 11330 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(255,a,6384,a,b,11307,a(flip)),flip(a)]. 11331 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(11300(a,1),462(a,1,1))]. 11333 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(255,a,9244,a(flip),b,11321,a(flip))]. 11334 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7651,a,11328,a)]. 11335 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(255,a,9474,a(flip),b,11334,a(flip)),flip(a)]. 11336 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(11335(a,1),6670(a,1,1,2)),flip(a)]. 11337 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(255,a,11327,a(flip),b,11333,a(flip))]. 11338 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(11337(a,1),6392(a,1))]. 11339 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(5255,a,11326,a),flip(a)]. 11340 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(255,a,6670,a(flip),b,11336,a)]. 11341 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(7899,a,11340,a)]. 11342 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(70(a,1),11341(a,1,2,1,2)),flip(a)]. 11343 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(255,a,8662,a,b,11342,a(flip)),flip(a)]. 11344 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(11301(a,1),11330(a,1,1))]. 11346 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(255,a,7132,a(flip),b,11331,a(flip))]. 11347 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(5340(a,1),11346(a,2,1))]. 11348 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(255,a,9300,a(flip),b,11347,a(flip)),flip(a)]. 11350 L(x,K(y,z),z * y) = x. [hyper(749,a,11348,a)]. 11353 L(x,T(y,z),z) = L(x,y,z). [hyper(10959,a,11350,a)]. 11354 L(x,y * z,K(z,y)) = x. [hyper(10957,a,11350,a)]. 11357 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(255,a,10305,a(flip),b,11354,a(flip)),flip(a)]. 11358 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(255,a,7263,a(flip),b,11354,a(flip))]. 11361 L(x,y / z,z) = L(x,z \ y,z). [para(129(a,1),11353(a,1,2)),flip(a)]. 11366 L(x,y,T(z,y)) = L(x,y,z). [para(5266(a,1),11357(a,1,3)),flip(a)]. 11368 L(x,y \ z,(y \ z) \ z) = L(x,y \ z,y). [hyper(255,a,1978,a(flip),b,11366,a(flip)),flip(a)]. 11372 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [para(11358(a,2),70(a,1,2))]. 11373 K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). [hyper(255,a,10882,a(flip),b,11329,a(flip))]. 11374 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(255,a,47,a,b,11324,a(flip)),flip(a)]. 11375 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4887(a,1),11343(a,2,2))]. 11376 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(255,a,4463,a(flip),b,11374,a)]. 11377 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(255,a,8873,a(flip),b,11375,a)]. 11378 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(255,a,8535,a(flip),b,11377,a)]. 11379 K(x,x \ T(y,z)) = K(x,T(x \ y,z)). [hyper(255,a,10911,a(flip),b,11378,a(flip)),flip(a)]. 11381 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(255,a,10637,a,b,11379,a(flip)),flip(a)]. 11382 T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). [hyper(255,a,5051,a,b,11379,a(flip)),flip(a)]. 11383 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(11381(a,1),5263(a,2,1)),flip(a)]. 11384 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(255,a,9596,a(flip),b,11383,a(flip))]. 11385 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(11384(a,2),6082(a,1,2))]. 11386 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(225,a,11385,a)]. 11387 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(11386(a,1),10549(a,1,1))]. 11388 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(11387(a,1),11270(a,1,1)),flip(a)]. 11389 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [hyper(255,a,9425,a(flip),b,11388,a)]. 11390 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [hyper(255,a,5433,a(flip),b,11389,a(flip))]. 11391 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(20(a,1),11390(a,2,1))]. 11392 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(37(a,2),11391(a,1,3))]. 11393 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(11392(a,1),5350(a,1,2))]. 11394 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [hyper(255,a,9964,a(flip),b,11393,a(flip))]. 11395 (K(x * y,z) * y) * T(x,y) != x * u | y * K(x * y,z) = u. [para(11394(a,2),24(a,1))]. 11396 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(255,a,47,a,b,11376,a)]. 11397 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(11339(a,1),11396(a,1,1))]. 11398 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(20(a,1),11397(a,1,1,2,2)),flip(a)]. 11399 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(6165,a,11398,a),flip(a)]. 11400 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(11398(a,1),5674(a,1,2,1))]. 11401 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(255,a,1069,a(flip),b,11399,a(flip)),flip(a)]. 11402 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(18(a,1),11399(a,1,1,2)),flip(a)]. 11403 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(564(a,1),11399(a,1,1)),flip(a)]. 11407 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5995(a,1),11401(a,2,1))]. 11409 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(11403(a,1),7271(a,1,2,1)),flip(a)]. 11410 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1306(a,1),11402(a,1,1)),flip(a)]. 11411 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(255,a,179,a(flip),b,11410,a)]. 11412 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(47(a,2),11411(a,2,1))]. 11413 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(255,a,545,a(flip),b,11412,a)]. 11414 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(11413(a,1),5196(a,1,1))]. 11415 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(5486,a,11414,a),flip(a)]. 11416 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(8070,a,11415,a)]. 11417 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(255,a,10136,a,b,11416,a)]. 11418 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(6459,a,11400,a),flip(a)]. 11421 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(11418(a,1),5169(a,1,1,2))]. 11422 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(255,a,7542,a(flip),b,11293,a)]. 11423 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(255,a,7155,a(flip),b,11407,a)]. 11424 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(7153(a,1),11423(a,1,1)),flip(a)]. 11425 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(11424(a,1),10073(a,1,2))]. 11426 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5986(a,1),11421(a,1,1))]. 11427 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(255,a,47,a,b,11426,a(flip)),flip(a)]. 11428 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(5169(a,1),11427(a,1,1)),flip(a)]. 11429 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(255,a,49,a(flip),b,11428,a)]. 11430 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(11429(a,1),1373(a,1,1,1)),flip(a)]. 11431 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(255,a,7935,a(flip),b,11422,a)]. 11432 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(7899,a,11431,a)]. 11433 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(255,a,10839,a(flip),b,11432,a(flip)),flip(a)]. 11435 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(255,a,9460,a(flip),b,11433,a(flip)),flip(a)]. 11436 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(255,a,8932,a(flip),b,11435,a(flip))]. 11437 K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). [para(132(a,1),11435(a,2,2))]. 11438 K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). [hyper(255,a,9885,a(flip),b,11437,a(flip)),flip(a)]. 11440 K(x,a(x,y,y \ 1) \ z) = K(x,z). [para(18(a,1),11438(a,2,2))]. 11441 K(x,y \ R(x,z,z \ 1)) = K(x,y \ x). [hyper(255,a,9578,a(flip),b,11440,a(flip))]. 11443 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ x). [hyper(255,a,8780,a,b,11441,a(flip)),flip(a)]. 11445 R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [hyper(255,a,9769,a(flip),b,11443,a(flip)),flip(a)]. 11446 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(60(a,1),11436(a,1,2,2))]. 11447 R(K(x,T(y,(z * x) / z)),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(11125(a,1),11445(a,1,1))]. 11448 R(K(x,T(y,T(x,z))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(8482(a,1),11447(a,1,1,2))]. 11449 K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,y),z * x,z \ 1). [para(5642(a,1),11448(a,1,1)),flip(a)]. 11450 K(x,((y \ (z * x)) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(255,a,9491,a(flip),b,11449,a)]. 11452 K(R(x,y,y \ 1),R(z,z \ y,x)) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [para(451(a,1),11450(a,1,2,1,1)),flip(a)]. 11453 R(K(R(x,y,y \ 1),z),y,x) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [hyper(255,a,6377,a(flip),b,11452,a(flip)),flip(a)]. 11454 K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(255,a,10702,a(flip),b,11453,a(flip))]. 11456 K(x,((y \ z) * (z \ 1)) \ (x \ x)) = K(R(x,z,z \ 1),y). [hyper(255,a,11435,a(flip),b,11454,a(flip)),flip(a)]. 11457 K(x,((y \ z) * (z \ 1)) \ 1) = K(R(x,z,z \ 1),y). [para(60(a,1),11456(a,1,2,2))]. 11458 R(K(x,y),z,z \ 1) = K(R(x,z,z \ 1),y). [hyper(255,a,6398,a(flip),b,11457,a(flip)),flip(a)]. 11460 R(K(x,y),z,z \ 1) \ 1 = K(y,R(x,z,z \ 1)). [para(11458(a,2),5381(a,1,1))]. 11461 R(K(x,y),z,z \ 1) = K(x,R(y,z,z \ 1)). [hyper(6419,a,11460,a)]. 11462 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(193(a,2),11461(a,2,2)),flip(a)]. 11463 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(255,a,10979,a(flip),b,10947,a(flip)),flip(a)]. 11464 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(255,a,10969,a(flip),b,11463,a(flip)),flip(a)]. 11465 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(255,a,10999,a(flip),b,11464,a(flip)),flip(a)]. 11466 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(17(a,1),11465(a,1,2,2,1))]. 11467 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(255,a,6042,a(flip),b,11466,a)]. 11468 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(255,a,11061,a(flip),b,11467,a)]. 11469 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(17(a,1),11468(a,2,2,2,1))]. 11470 K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * (x \ y),T(1 / (x \ y),x)). [para(73(a,1),11041(a,2,1,2))]. 11471 K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * (x \ y),x / y). [hyper(255,a,8411,a(flip),b,11470,a)]. 11473 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(7587(a,1),11060(a,2,2))]. 11474 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (y \ 1))) \ u). [hyper(255,a,6043,a(flip),b,11163,a)]. 11475 (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). [para(4722(a,1),11250(a,1,1))]. 11476 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2532(a,1),11264(a,1,1,2)),flip(a)]. 11477 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(6687(a,1),11476(a,2,1))]. 11478 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(255,a,9257,a,b,11477,a)]. 11479 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2535(a,1),11478(a,1,1,1))]. 11480 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5600(a,1),11479(a,1,1))]. 11481 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(255,a,10315,a(flip),b,11480,a(flip))]. 11482 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(8195(a,1),11481(a,1,1)),flip(a)]. 11483 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(T(y,u),x) * 1). [hyper(255,a,10293,a(flip),b,11265,a(flip))]. 11484 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(4710(a,1),11425(a,1,2,1)),flip(a)]. 11485 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(70(a,1),11474(a,2,2,1,2))]. 11486 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(6580(a,1),11485(a,1,2,1,1,2,1))]. 11487 K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). [hyper(255,a,10855,a(flip),b,11486,a(flip))]. 11488 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). [para(8235(a,1),11475(a,1,1,2))]. 11489 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(9013,a,11488,a),flip(a)]. 11490 R(K(x,y),L(y,z,u),w) = K(x,y). [para(9050(a,1),11489(a,1,1))]. 11491 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(255,a,7214,a(flip),b,11490,a(flip)),flip(a)]. 11493 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(255,a,6864,a(flip),b,11491,a)]. 11494 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(255,a,10800,a,b,11493,a(flip)),flip(a)]. 11495 K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. [para(11494(a,1),8566(a,1))]. 11496 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(y,T(x,u)) * 1). [para(7542(a,1),11483(a,2,2,1))]. 11497 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * K(y,T(x,u)). [para(17(a,1),11496(a,2,2))]. 11498 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (K(x,x \ y) * T(y,z)). [para(5221(a,1),6968(a,2,2))]. 11499 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = K(y,z). [hyper(255,a,6627,a(flip),b,11498,a)]. 11501 L(K((x \ 1) \ (x \ y),z),y / x,x) = K(y,z). [hyper(255,a,4782,a(flip),b,11499,a(flip)),flip(a)]. 11502 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(6798,a,8964,a),flip(a)]. 11503 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). [para(5428(a,1),11502(a,1,2)),flip(a)]. 11504 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(1943(a,2),9178(a,1,2,2))]. 11505 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(20(a,1),10110(a,1,1,1)),flip(a)]. 11507 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(10296(a,1),11505(a,1,2,1)),flip(a)]. 11509 ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(11507(a,1),6199(a,1,2,2))]. 11510 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(5564(a,1),11509(a,1,2)),flip(a)]. 11511 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(255,a,5551,a(flip),b,11510,a)]. 11513 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(255,a,5608,a(flip),b,11511,a)]. 11515 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(6198(a,1),11513(a,1,2))]. 11516 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(3711(a,1),10753(a,1,1))]. 11517 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). [hyper(255,a,1373,a(flip),b,11430,a)]. 11518 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(47(a,2),11517(a,2,3))]. 11519 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(112(a,1),11504(a,1,2)),flip(a)]. 11520 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3862(a,2),4042(a,1,1))]. 11521 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((y * x) \ x) \ 1,z,u). [para(6062(a,1),6066(a,2,2,1,1))]. 11522 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(x \ (y * x),z,u)). [hyper(255,a,1907,a(flip),b,11521,a)]. 11523 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(T(y,x),z,u)). [para(37(a,2),11522(a,2,2,2,1))]. 11524 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (R(y,z,u) * x). [para(184(a,1),11523(a,2,2))]. 11525 (x * y) \ (T(x,y) * R(T(y,x),z,u)) = (y * x) \ (R(y,z,u) * x). [para(4449(a,1),11524(a,1,2,2,1))]. 11526 (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). [para(4469(a,1),11525(a,1,2))]. 11527 ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). [para(122(a,1),11526(a,2,2))]. 11528 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1150(a,1),6291(a,2,1))]. 11529 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(255,a,11528,a(flip),b,6292,a(flip))]. 11530 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1150(a,1),11529(a,1,1)),flip(a)]. 11531 K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). [para(11530(a,1),11103(a,1,1,1,1))]. 11532 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5563(a,2),11531(a,1,1))]. 11533 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(8342,a,11532,a)]. 11534 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(255,a,11084,a(flip),b,11533,a(flip)),flip(a)]. 11535 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(21(a,1),11534(a,1,2,2)),flip(a)]. 11536 K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. [para(11535(a,1),8122(a,1))]. 11537 x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(5247(a,1),6887(a,1,2,2,1))]. 11539 x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). [para(6130(a,1),11537(a,1,2,2))]. 11540 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). [hyper(245,a,11539,a)]. 11541 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). [para(59(a,1),11540(a,2,1))]. 11542 (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. [hyper(80,a,5655,a(flip),b,11541,a)]. 11543 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(255,a,10174,a(flip),b,7383,a(flip))]. 11545 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(x,y) * (K(z,x) * u)) / (1 * (K(x,y) * K(z,x)))). [para(16(a,2),10276(a,2,2,2))]. 11546 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). [hyper(255,a,11001,a(flip),b,10789,a(flip))]. 11547 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). [hyper(255,a,11469,a(flip),b,11546,a)]. 11548 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(255,a,11036,a(flip),b,11547,a)]. 11550 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2663(a,1),11548(a,1,2))]. 11551 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(11550(a,1),6670(a,1,1,2)),flip(a)]. 11552 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(255,a,6670,a(flip),b,11551,a)]. 11553 T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11552(a,1),6916(a,1,1,2))]. 11554 T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11038(a,1),11553(a,1,1,2))]. 11555 T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(59(a,1),11554(a,1,1,2,1,2))]. 11556 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5984(a,1),11555(a,1,1))]. 11557 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(255,a,45,a,b,11556,a(flip)),flip(a)]. 11558 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5820(a,1),11557(a,1,1)),flip(a)]. 11559 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4626,a,11558,a)]. 11560 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(11559(a,1),428(a,1,2))]. 11561 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(11559(a,1),7483(a,1,2))]. 11562 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10768(a,1),11561(a,1))]. 11563 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(415,a,11560,a),flip(a)]. 11564 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(317,a,11563,a),flip(a)]. 11566 (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(11563(a,1),10631(a,1,1,2))]. 11567 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(255,a,5430,a,b,11564,a),flip(a)]. 11570 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). [para(11564(a,1),10234(a,1,2,2)),flip(a)]. 11571 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). [para(11417(a,1),11567(a,1,1,2))]. 11572 K(x * L(y,z,u),y) = K(y * x,y). [hyper(255,a,7676,a(flip),b,11570,a)]. 11574 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [hyper(255,a,9167,a,b,11572,a)]. 11575 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(255,a,11258,a(flip),b,11572,a(flip)),flip(a)]. 11576 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(255,a,8057,a(flip),b,11572,a(flip))]. 11578 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(255,a,11021,a(flip),b,11576,a(flip)),flip(a)]. 11579 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(8567,a,11578,a)]. 11581 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(255,a,5734,a(flip),b,11575,a)]. 11582 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(11495,a,11581,a)]. 11583 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(255,a,11259,a(flip),b,11581,a(flip)),flip(a)]. 11584 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(11581(a,1),9881(a,1,1,2))]. 11585 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(10250,a,11574,a)]. 11586 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(11585(a,2),10064(a,2,2))]. 11589 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(255,a,11019,a(flip),b,11583,a)]. 11590 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,v5,v6)). [para(11564(a,2),11586(a,1,2))]. 11591 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(112(a,1),11589(a,1,1,2))]. 11592 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(8697,a,11591,a)]. 11593 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [hyper(255,a,8909,a(flip),b,11591,a(flip)),flip(a)]. 11594 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [hyper(255,a,11057,a,b,11593,a(flip)),flip(a)]. 11596 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(255,a,11018,a(flip),b,11592,a)]. 11597 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(255,a,10001,a(flip),b,11596,a(flip)),flip(a)]. 11598 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(33(a,2),11597(a,2,1))]. 11599 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(11562,a,11598,a),flip(a)]. 11600 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(10942,a,11599,a)]. 11602 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(11599(a,1),10942(a,1))]. 11603 K(x,(y * ((y \ z) / u)) \ z) = K(x,L(u,y \ z,y)). [hyper(7306,a,11600,a)]. 11604 K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). [hyper(255,a,5381,a,b,11600,a),flip(a)]. 11605 K((x \ 1) \ (x \ y),L(z,y / x,x)) = K(y,z). [hyper(255,a,11501,a(flip),b,11600,a(flip))]. 11606 K(x,L(y,K(z,u),u * z)) = K(x,y). [hyper(255,a,11350,a(flip),b,11600,a(flip))]. 11607 K(x \ y,L(z,y,y \ 1)) = K(((y \ 1) * x) \ 1,z). [hyper(255,a,7031,a(flip),b,11600,a(flip))]. 11609 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(11600(a,1),112(a,1,2))]. 11610 (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). [para(11600(a,1),420(a,1,2,2))]. 11611 K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11600(a,1),1434(a,1,2,1))]. 11613 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [para(11600(a,1),8824(a,1,2))]. 11614 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). [para(11600(a,1),9938(a,1,2))]. 11615 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(11600(a,1),9941(a,1,2))]. 11616 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(11600(a,1),9943(a,1,1))]. 11617 K(x,L(y,z,u)) * a(u,z,K(x,y)) = K(x,y). [para(11600(a,1),9953(a,1,1))]. 11618 ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). [para(11600(a,1),9947(a,1,2))]. 11621 K(x,L(y,T(z,u),u)) = K(x,L(y,z,u)). [para(10958(a,1),11606(a,1,2))]. 11622 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(11604(a,1),5384(a,1))]. 11624 K(x,L(y,z / u,u)) = K(x,L(y,u \ z,u)). [para(129(a,1),11621(a,1,2,2)),flip(a)]. 11626 K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. [para(7006(a,2),11622(a,1))]. 11628 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [hyper(255,a,9948,a(flip),b,11614,a(flip)),flip(a)]. 11630 K(L(x,y,z),u) * a(z,y,K(x,u)) = K(x,u). [para(11614(a,1),5626(a,1,2))]. 11631 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(11614(a,1),5545(a,1,2)),flip(a)]. 11632 a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). [para(8138(a,2),11628(a,1,3))]. 11633 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [hyper(6674,a,11615,a)]. 11634 K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. [para(11615(a,1),6675(a,1,1)),flip(b)]. 11636 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(9957,a,11630,a)]. 11637 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(23,a,11617,a,b,11630,a)]. 11640 (x * (y * K(z,u))) \ (x * y) = K(L(u,y,x),z). [hyper(255,a,7081,a,b,11636,a(flip)),flip(a)]. 11641 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(437(a,1),11637(a,1,1)),flip(a)]. 11642 (x / y) * K(z,L(y,u,w)) = x / T(y,L(z,u,w)). [para(11637(a,1),6718(a,1,2))]. 11644 K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). [para(11637(a,1),9956(a,1,1))]. 11645 K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. [para(11637(a,2),11602(a,1))]. 11646 K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. [para(8138(a,2),11645(a,1))]. 11647 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(255,a,9949,a(flip),b,11633,a(flip)),flip(a)]. 11648 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). [para(8859(a,1),11633(a,1,2))]. 11649 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(11647(a,1),10089(a,2,2))]. 11650 x * (y * K(x * y,z)) != u | T(x * y,L(z,y,x)) = u. [para(11609(a,1),5255(a,1))]. 11654 K(L(x,y,L(z,u,w)),z) != v5 | K(x,z) = v5. [para(11640(a,1),9013(a,1))]. 11656 K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). [para(437(a,1),11641(a,1,2))]. 11657 a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). [para(11082(a,1),11632(a,1,3))]. 11658 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(23,a,11616,a,b,11644,a),flip(a)]. 11659 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(19(a,1),11658(a,1,2,2))]. 11660 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(10941(a,1),11659(a,2,2))]. 11661 K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). [para(19(a,1),11656(a,1,2)),flip(a)]. 11662 K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). [para(19(a,1),11661(a,1,1)),flip(a)]. 11663 K(x,(y \ 1) \ (y \ L(z,x / y,y))) = K(x,z). [hyper(255,a,11605,a(flip),b,11662,a(flip))]. 11664 K(x,L((y \ 1) \ (y \ z),x / y,y)) = K(x,z). [para(1871(a,2),11663(a,1,2))]. 11665 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K(x,z). [hyper(255,a,11624,a(flip),b,11664,a(flip)),flip(a)]. 11666 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(255,a,9791,a(flip),b,11603,a(flip))]. 11667 K(x,(y \ 1) \ (y \ L(z,y \ x,(y \ x) \ 1))) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(255,a,11662,a(flip),b,11607,a(flip)),flip(a)]. 11669 a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. [para(9949(a,1),11634(a,1))]. 11672 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [hyper(255,a,11642,a(flip),b,11618,a(flip)),flip(a)]. 11673 (x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(4669(a,1),11672(a,1,1))]. 11674 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(11649(a,1),9722(a,2,2))]. 11675 a(x,y,K(z,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. [para(11648(a,1),6111(a,1))]. 11676 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(6488(a,1),11613(a,1,1))]. 11677 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(255,a,11058,a(flip),b,11666,a(flip)),flip(a)]. 11678 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(255,a,7078,a(flip),b,11676,a)]. 11679 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [para(11678(a,1),8198(a,1,1))]. 11680 L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). [hyper(255,a,10076,a(flip),b,11566,a(flip)),flip(a)]. 11683 a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). [para(21(a,1),11680(a,1,2)),flip(a)]. 11684 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(6129(a,1),11584(a,1,1,2)),flip(a)]. 11685 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(255,a,6663,a(flip),b,11684,a)]. 11686 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1419(a,1),11685(a,1,1))]. 11687 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(11686(a,1),10119(a,2,2))]. 11688 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(255,a,6712,a(flip),b,11687,a)]. 11689 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5986(a,1),11571(a,1,1))]. 11690 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5894(a,1),11689(a,1,1,1,2))]. 11691 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(255,a,47,a,b,11690,a(flip)),flip(a)]. 11692 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5820(a,1),11691(a,1,1)),flip(a)]. 11693 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(255,a,11564,a(flip),b,11692,a(flip)),flip(a)]. 11694 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(11692(a,1),11590(a,1,2))]. 11695 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(11693(a,1),461(a,1,1)),flip(a)]. 11696 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(255,a,122,a(flip),b,11695,a)]. 11697 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10543(a,1),11696(a,1,1,1)),flip(a)]. 11698 K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(5600(a,1),11611(a,1,2))]. 11699 K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11637(a,1),11698(a,1,2,1))]. 11700 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(5272(a,1),11699(a,1,2))]. 11701 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(11631(a,1),11700(a,1,2)),flip(a)]. 11702 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [hyper(255,a,11055,a(flip),b,11660,a(flip))]. 11703 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(11688(a,1),11674(a,1,2))]. 11704 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(255,a,7844,a(flip),b,11703,a(flip))]. 11705 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [para(11637(a,1),11704(a,2,1))]. 11706 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(255,a,11616,a(flip),b,11705,a)]. 11707 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(222,a,11706,a),flip(a)]. 11709 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(18(a,1),11707(a,1,3,1)),flip(a)]. 11710 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(5375(a,1),11707(a,1,3)),flip(a)]. 11711 a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). [para(5377(a,1),11707(a,1,3)),flip(a)]. 11712 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). [para(6009(a,1),11707(a,1,3))]. 11713 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(11709(a,2),10207(a,1,1))]. 11714 a(x,y,K(x * z,z)) = 1. [hyper(255,a,7426,a(flip),b,11710,a)]. 11715 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). [para(11710(a,1),11701(a,2,2,2))]. 11716 L(K(x * y,y),z,x) = K(x * y,y). [hyper(38,a,11714,a)]. 11717 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(11716(a,1),7561(a,2,1))]. 11718 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(10209,a,11713,a)]. 11719 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(19(a,1),11718(a,1,3,2)),flip(a)]. 11720 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [hyper(255,a,11711,a,b,11719,a(flip)),flip(a)]. 11721 a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). [para(5584(a,1),11720(a,1,3)),flip(a)]. 11722 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(255,a,11712,a,b,11721,a(flip)),flip(a)]. 11723 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(6707(a,1),11722(a,1,3))]. 11724 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(8654(a,1),11717(a,1,2,2))]. 11725 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [para(7559(a,1),11724(a,1,2)),flip(a)]. 11726 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(255,a,9810,a(flip),b,11725,a(flip))]. 11727 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(9808(a,1),11726(a,1,2)),flip(a)]. 11728 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(310,a,11727,a),flip(a)]. 11729 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [hyper(255,a,11594,a(flip),b,11702,a)]. 11730 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [hyper(11626,a,11729,a)]. 11731 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [hyper(255,a,11055,a(flip),b,11730,a(flip)),flip(a)]. 11732 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [hyper(255,a,11677,a(flip),b,11731,a(flip)),flip(a)]. 11733 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(37(a,2),11732(a,2,1,2))]. 11734 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(255,a,11016,a(flip),b,11733,a(flip)),flip(a)]. 11735 K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). [para(11734(a,1),5605(a,1,2,1)),flip(a)]. 11736 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11734(a,1),11231(a,1,1,2,2))]. 11737 K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). [hyper(255,a,5605,a(flip),b,11735,a)]. 11738 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(255,a,5554,a(flip),b,11715,a)]. 11739 K(x,L((y \ 1) \ (y \ z),y \ x,(y \ x) \ 1)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [para(1871(a,2),11667(a,1,2))]. 11740 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11737(a,1),11736(a,1,2,1,1))]. 11741 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(255,a,11231,a(flip),b,11740,a(flip))]. 11742 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R(R(1 / y,y,x) \ 1,z,u). [para(4543(a,1),4562(a,2,2,1,1))]. 11743 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R((1 / y) * R((1 / y) \ 1,z,u),y,x). [hyper(255,a,3802,a(flip),b,11742,a)]. 11744 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(1172(a,1),11743(a,2,1))]. 11745 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(4449(a,1),11744(a,1,1,2,1))]. 11746 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(4469(a,1),11745(a,1,1))]. 11747 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(7477(a,1),11746(a,1,1)),flip(a)]. 11748 R(x \ R(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). [para(4036(a,1),11747(a,1,1))]. 11749 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(9153(a,1),11748(a,1,1)),flip(a)]. 11750 R(a(x,y,x),x,z) = a(x,y,x). [hyper(10068,a,11749,a),flip(a)]. 11752 ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(255,a,458,a,b,11750,a(flip)),flip(a)]. 11753 (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(9161(a,1),11752(a,1,1,1))]. 11754 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(461(a,1),11753(a,1,1))]. 11755 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(11696(a,1),11754(a,1,1))]. 11756 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(11755(a,1),10083(a,1))]. 11757 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). [para(5911(a,1),5650(a,1,1,2,1)),flip(a)]. 11758 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). [para(5381(a,1),11757(a,2,1,2))]. 11760 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). [para(6672(a,1),11758(a,2,1))]. 11761 T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). [hyper(96,a,11760,a)]. 11762 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). [para(11761(a,1),3407(a,1,1,1)),flip(a)]. 11763 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(6343(a,1),11762(a,2,1))]. 11764 T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(6125(a,1),11763(a,1,2,2))]. 11765 T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(8492(a,1),11764(a,1,2))]. 11766 ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). [para(8523(a,1),11765(a,1,2)),flip(a)]. 11767 ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). [hyper(255,a,8633,a(flip),b,11766,a)]. 11769 K((T(x,y) \ ((x \ 1) \ K(z,x))) \ 1,((x \ K(x,z)) * T(x,y)) \ 1) = K(((x \ 1) \ K(z,x)) \ T(x,y),T(x,y) \ ((x \ 1) \ K(z,x))). [para(11767(a,1),6598(a,1,2,1))]. 11770 (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11767(a,2),7103(a,1,2,1))]. 11771 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (K(y,x) * (x \ 1)) * z. [para(6540(a,1),6438(a,2,1,1))]. 11772 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (T(x,y) \ 1) * z. [para(5209(a,1),11771(a,2,1))]. 11774 (x \ 1) * (R(K(y,x),x \ 1,z) * z) = (T(x,y) \ 1) * z. [para(6437(a,1),11772(a,1,2,1))]. 11775 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(10531(a,1),11774(a,1,2,1))]. 11776 T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). [para(11775(a,1),6543(a,1,2))]. 11778 L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). [hyper(255,a,4739,a(flip),b,11776,a(flip)),flip(a)]. 11780 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). [hyper(255,a,4806,a(flip),b,11778,a(flip)),flip(a)]. 11784 K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [para(11780(a,1),11067(a,1,2,1))]. 11785 K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(255,a,6605,a(flip),b,11784,a(flip))]. 11787 K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(255,a,11487,a(flip),b,11785,a(flip)),flip(a)]. 11788 K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). [hyper(255,a,11446,a(flip),b,11787,a(flip))]. 11789 K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). [hyper(255,a,7073,a(flip),b,11788,a(flip))]. 11790 L(K(x,y),z,z \ 1) = L(K(x,y),z,z \ x). [hyper(9588,a,11789,a),flip(a)]. 11791 L(K(x,y),z,z \ x) = K(x,L(y,z,z \ 1)). [hyper(11622,a,11790,a),flip(a)]. 11792 K(x,L(y,z,z \ 1)) = K(x,L(y,z,z \ x)). [hyper(11622,a,11791,a),flip(a)]. 11793 K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)). [para(11368(a,1),11792(a,2,2))]. 11794 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(255,a,11739,a(flip),b,11793,a(flip))]. 11795 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [hyper(255,a,11665,a(flip),b,11794,a(flip))]. 11797 (1 / (x \ y)) * (x \ T(y,z)) = K(y,z). [hyper(255,a,6442,a(flip),b,11795,a(flip)),flip(a)]. 11798 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [hyper(255,a,5768,a(flip),b,11795,a(flip)),flip(a)]. 11801 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(11798(a,1),7361(a,2,1))]. 11802 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(255,a,5190,a(flip),b,11801,a)]. 11804 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(10485(a,1),11802(a,2,2))]. 11805 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(7058(a,1),11804(a,1,1))]. 11806 (L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4861(a,1),7352(a,1,2))]. 11807 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(5141(a,1),11806(a,1,2))]. 11808 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(255,a,11254,a(flip),b,11807,a(flip))]. 11810 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(162(a,1),11808(a,1,2,2,1))]. 11811 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(11810(a,1),4311(a,1,2))]. 11812 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(11811(a,1),8093(a,2,1))]. 11813 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(L(T(x,K(z,u)),K(z,u),K(y,z)),K(y,z)). [para(179(a,1),8732(a,1,1)),flip(a)]. 11814 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)). [para(10278(a,1),11813(a,2,1))]. 11815 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)). [hyper(255,a,8193,a,b,11814,a)]. 11817 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [hyper(255,a,9127,a(flip),b,11815,a(flip))]. 11818 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [hyper(8205,a,11817,a)]. 11820 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [para(2075(a,2),11817(a,2,2))]. 11821 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(11817(a,1),9909(a,1,1))]. 11822 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(2075(a,2),11818(a,2,2))]. 11823 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(5829,a,11820,a)]. 11824 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(255,a,11482,a,b,11820,a(flip)),flip(a)]. 11825 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(255,a,9630,a,b,11820,a(flip)),flip(a)]. 11826 T(K(x,y) * z,K(x,u) * K(y,x)) = T(z * K(x,y),K(x,u)). [hyper(255,a,6870,a(flip),b,11820,a(flip))]. 11827 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). [para(9490(a,1),11822(a,1,1,2)),flip(a)]. 11828 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(11822(a,1),10331(a,2,1))]. 11829 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(255,a,11820,a(flip),b,11823,a(flip))]. 11830 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(5353,a,11829,a)]. 11832 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2075(a,2),11824(a,1,2,1))]. 11833 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(22,a,11824,a,b,11830,a),flip(a)]. 11834 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(11830(a,1),5255(a,1))]. 11835 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(2075(a,2),11833(a,1,1))]. 11836 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(2075(a,1),11835(a,2,2))]. 11837 K(K(x,y) * K(z,x),u) / (K(y,x) * K(x,z)) = 1 / T(K(y,x) * K(x,z),u). [hyper(81,a,11836,a,b,5183,a(flip))]. 11838 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(22,a,5252,a(flip),b,11832,a)]. 11839 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(255,a,11836,a(flip),b,11838,a(flip))]. 11840 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(11838(a,1),5252(a,2,2)),flip(a)]. 11841 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(11820(a,2),11834(a,1))]. 11843 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(5281,a,11821,a),flip(a)]. 11845 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(255,a,11833,a(flip),b,11843,a)]. 11846 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). [para(6375(a,1),11843(a,1,2,2)),flip(a)]. 11847 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(255,a,11838,a,b,11845,a)]. 11848 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(255,a,11132,a,b,11845,a(flip))]. 11849 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [hyper(255,a,10117,a,b,11845,a(flip)),flip(a)]. 11850 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)). [para(8154(a,1),11845(a,1,1))]. 11851 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(8428(a,1),11845(a,1,1))]. 11852 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)). [hyper(255,a,11839,a(flip),b,11850,a)]. 11853 x / T((K(y,z) * x) * K(z,u),K(z,y)) = ((1 * (K(z,u) * K(y,z))) * x) \ x. [para(11826(a,1),11267(a,1,2))]. 11854 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(255,a,11818,a(flip),b,11825,a(flip))]. 11855 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(255,a,5177,a,b,11828,a)]. 11856 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5600(a,1),11855(a,1,2))]. 11857 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(255,a,11109,a(flip),b,11848,a)]. 11858 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [para(2075(a,1),11857(a,1,2))]. 11859 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(18(a,1),11858(a,1,2,2,2,3))]. 11860 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(11834,a,11854,a)]. 11861 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(255,a,5252,a(flip),b,11860,a),flip(a)]. 11862 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). [para(9629(a,1),11827(a,2,1))]. 11863 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(5448,a,11840,a)]. 11864 (x * (K(y,z) * K(z,u))) / x = T(K(z,u) * K(y,z),x). [para(2075(a,1),11863(a,1,1,2))]. 11865 T(K(x,y) * K(z,x),u) * u = u * (K(z,x) * K(x,y)). [para(11864(a,1),21(a,1,1))]. 11867 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(22,a,5252,a(flip),b,11861,a),flip(a)]. 11868 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(255,a,11823,a(flip),b,11862,a)]. 11869 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(9490(a,1),11868(a,1,2,2))]. 11870 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(255,a,11829,a,b,11869,a),flip(a)]. 11871 K(K(x,y) * K(z,x),u) * (K(z,x) * K(x,y)) = 1 / T(K(y,x) * K(x,z),u). [hyper(255,a,9214,a(flip),b,11837,a(flip)),flip(a)]. 11872 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). [para(8134(a,1),11849(a,1,2,2,2))]. 11873 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8428(a,1),11851(a,1,2)),flip(a)]. 11874 K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. [para(11873(a,1),8008(a,1))]. 11876 K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. [para(11843(a,1),11874(a,1))]. 11877 K(K(x,y) * K(z,x),u) != w | K(u,K(x,y) * K(z,x)) = w. [para(11847(a,1),11874(a,1))]. 11878 K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w. [para(11856(a,2),11877(a,1))]. 11879 x / T(K(y,z) * (x * K(z,u)),K(z,y)) = ((1 * (K(z,u) * K(y,z))) * x) \ x. [para(7465(a,1),11853(a,1,2,1))]. 11880 K(K(x,y),K(y,z)) * T(K(y,z) * K(x,y),u) = 1 / T(K(z,y) * K(y,x),u). [hyper(255,a,6958,a(flip),b,11871,a(flip)),flip(a)]. 11881 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(5869,a,11872,a)]. 11882 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(8134(a,1),11881(a,1,1))]. 11883 ((1 * (K(x,y) * K(z,x))) * u) \ u = u / ((u * K(x,y)) * K(z,x)). [para(8197(a,1),11879(a,1,2)),flip(a)]. 11884 ((1 * (K(x,y) * K(z,x))) * u) \ u = u / (u * (K(z,x) * K(x,y))). [para(9128(a,1),11883(a,2,2))]. 11885 x / (x * (K(y,z) * K(z,u))) = ((K(z,u) * K(y,z)) * x) \ x. [para(16(a,1),11884(a,1,1,1)),flip(a)]. 11886 x / (x * (K(y,z) * K(z,u))) = (K(z,u) * (K(y,z) * x)) \ x. [para(10270(a,1),11885(a,2,1))]. 11887 1 / T(K(x,y) * K(y,z),u) = 1 * T(K(y,x) * K(z,y),u). [para(2073(a,1),11880(a,1,1)),flip(a)]. 11888 1 / T(K(x,y) * K(y,z),u) = T(K(y,x) * K(z,y),u). [hyper(255,a,16,a(flip),b,11887,a)]. 11890 T(K(x,y) * K(z,x),u) \ 1 = T(K(y,x) * K(x,z),u). [para(11888(a,1),73(a,1,1))]. 11891 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))). [para(9317(a,1),11846(a,2,2))]. 11892 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(255,a,11843,a(flip),b,11891,a)]. 11893 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(6375(a,1),11892(a,1,1,2))]. 11894 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(11073(a,1),9614(a,1,1,2))]. 11895 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(8096(a,1),11894(a,1,1))]. 11896 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(47(a,2),11895(a,1,2))]. 11897 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(204(a,1),11896(a,1,2,1))]. 11898 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(255,a,9617,a(flip),b,11897,a(flip)),flip(a)]. 11899 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(255,a,10285,a(flip),b,11898,a(flip)),flip(a)]. 11901 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(255,a,9817,a(flip),b,11899,a(flip))]. 11902 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(7743(a,1),11901(a,2,2))]. 11903 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(255,a,4644,a(flip),b,11902,a)]. 11904 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(9613(a,1),11903(a,1,1,1))]. 11905 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(11073(a,1),11904(a,1,1)),flip(a)]. 11906 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(11905(a,1),5593(a,1))]. 11907 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). [para(9739(a,1),9742(a,1,2,1,1)),flip(a)]. 11908 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w). [hyper(255,a,3818,a(flip),b,11907,a)]. 11910 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1150(a,1),11908(a,2,1))]. 11911 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1150(a,1),11910(a,1,1))]. 11912 a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)). [para(11911(a,1),11615(a,1,2,2))]. 11913 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(18(a,1),11503(a,2,1,1))]. 11914 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(255,a,9757,a(flip),b,11913,a)]. 11916 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(18(a,1),11914(a,1,1,1))]. 11917 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(18(a,1),11916(a,1,2,2))]. 11918 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(6475(a,1),11917(a,1,2,1,3))]. 11919 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(7376(a,1),7377(a,2,2,1,1))]. 11920 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(73(a,1),11919(a,2,2,1))]. 11922 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(255,a,4034,a(flip),b,11920,a)]. 11923 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(73(a,1),11922(a,1,1,2,1))]. 11924 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(4034(a,1),11923(a,1,1))]. 11925 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(6861,a,11924,a)]. 11926 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(11925(a,1),11520(a,1,1,1))]. 11927 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(255,a,704,a(flip),b,11926,a(flip)),flip(a)]. 11928 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(122(a,1),11927(a,1,1,2))]. 11929 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(29(a,2),11928(a,1,1)),flip(a)]. 11930 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(255,a,10628,a(flip),b,11929,a),flip(a)]. 11931 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(29(a,2),11930(a,2,1,1)),flip(a)]. 11932 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,K(x,w)) * (K(y,x) * T(z * K(x,y),u)). [para(8100(a,1),9556(a,2,1))]. 11933 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). [hyper(255,a,7319,a(flip),b,9621,a(flip))]. 11935 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). [hyper(255,a,3867,a(flip),b,11933,a)]. 11936 T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). [para(2245(a,1),11935(a,1,2,1)),flip(a)]. 11938 (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). [para(5600(a,1),10179(a,1,1,2))]. 11939 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(255,a,10266,a(flip),b,10306,a(flip)),flip(a)]. 11940 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(11262,a,11939,a)]. 11943 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(10244(a,1),11940(a,2,2,2))]. 11944 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(19(a,1),11943(a,2,2,2,1))]. 11945 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(18(a,1),11944(a,2,2))]. 11947 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(255,a,10252,a(flip),b,11945,a)]. 11948 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(255,a,11263,a(flip),b,11947,a(flip))]. 11949 a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(11947(a,1),4788(a,1))]. 11951 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10844(a,1),11232(a,1,2,1,1))]. 11952 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(10280(a,2),11545(a,2,2,1))]. 11953 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,T(x,w)) * T(z * K(x,y),u). [hyper(255,a,8736,a(flip),b,11932,a)]. 11954 ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). [para(7091(a,1),11938(a,1,1))]. 11955 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(255,a,11231,a(flip),b,11951,a(flip))]. 11956 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(9486,a,11955,a),flip(a)]. 11957 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(9340,a,11956,a)]. 11958 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(8719,a,11957,a),flip(a)]. 11959 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(11958(a,1),10908(a,1,1))]. 11960 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(255,a,10907,a(flip),b,11959,a(flip)),flip(a)]. 11961 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(11338,a,11960,a),flip(a)]. 11962 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(255,a,7384,a(flip),b,11961,a(flip))]. 11963 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(35(a,2),11962(a,1,2,1)),flip(a)]. 11964 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(478(a,1),11963(a,2,2,1))]. 11965 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(5584(a,1),11963(a,1,1)),flip(a)]. 11966 K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). [para(5890(a,1),11963(a,1,1)),flip(a)]. 11967 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(11409(a,1),11963(a,1,1))]. 11968 K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). [hyper(255,a,5817,a,b,11966,a(flip)),flip(a)]. 11970 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(11965(a,1),11967(a,1,1)),flip(a)]. 11971 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(5817(a,1),11964(a,1,1))]. 11972 T(K(x,y) * K(z,x),u) * u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(16(a,2),11952(a,2,1))]. 11973 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(4497(a,1),4421(a,1,1,2)),flip(a)]. 11974 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(255,a,1803,a(flip),b,11973,a)]. 11975 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(4417(a,1),11974(a,1,3))]. 11976 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(11975(a,1),6453(a,1,1,1))]. 11977 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(11975(a,1),11976(a,1,2))]. 11978 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(286,a,11977,a)]. 11979 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(255,a,4953,a(flip),b,11978,a(flip)),flip(a)]. 11980 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(11979(a,1),169(a,1,2))]. 11981 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(73(a,1),4427(a,1,1,2))]. 11982 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(45(a,2),11981(a,1,1))]. 11983 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(3053(a,1),11982(a,1,1))]. 11984 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(73(a,1),11983(a,1,2,2,2))]. 11985 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(45(a,2),11984(a,1,2,2))]. 11986 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(3053(a,1),11985(a,1,2,2))]. 11987 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(18(a,1),11986(a,1,2))]. 11989 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(11987(a,1),10813(a,1,1)),flip(a)]. 11990 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [para(11989(a,1),73(a,1,1))]. 11991 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(255,a,3062,a(flip),b,11990,a(flip)),flip(a)]. 11992 (K(x,y / z) * K(x,K(u,z \ y))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(8152(a,1),8961(a,1,1,2))]. 11993 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u * K(y,x))). [para(6673(a,1),9138(a,2,2,2))]. 11994 (x * (y * (K(y,z) * (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(5600(a,1),9488(a,1,1,2,2))]. 11995 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))). [para(6740(a,1),9716(a,1,1)),flip(a)]. 11996 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = K(x,L(y,u,w)) * (x * K(y,z)). [hyper(255,a,5677,a(flip),b,11995,a)]. 11998 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = T(x,L(y,u,w)) * K(y,z). [hyper(255,a,5272,a(flip),b,11996,a)]. 11999 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(6740(a,1),11998(a,1,2))]. 12000 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(255,a,7977,a(flip),b,11999,a(flip)),flip(a)]. 12002 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(255,a,11631,a(flip),b,12000,a)]. 12003 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(12002(a,1),5295(a,1,1))]. 12004 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(12002(a,1),5434(a,1,1))]. 12005 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8288(a,1),10752(a,1,1))]. 12006 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(255,a,8147,a(flip),b,11241,a(flip))]. 12007 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(8136,a,12006,a)]. 12009 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(8915(a,1),12007(a,1,2))]. 12010 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,9528,a(flip),b,12009,a(flip)),flip(a)]. 12011 R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(9313(a,1),11287(a,1,1,1,2))]. 12012 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / T(K(x,y \ z),u). [para(8379(a,1),11992(a,1,1)),flip(a)]. 12013 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / K(x,T(y \ z,u)). [para(7539(a,2),12012(a,2,2))]. 12014 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) * K(y \ z,T(x,u)). [hyper(255,a,7604,a(flip),b,12013,a)]. 12015 R(K(x,K(y,z)),K(x,z \ y),K(K(x,z \ y),u)) = K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)). [para(8154(a,1),12014(a,1,1))]. 12016 K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). [hyper(255,a,6642,a(flip),b,12015,a(flip))]. 12018 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ (K(x,y) * (K(z,x) * (u * K(y,x)))). [para(10270(a,1),11993(a,2,2))]. 12019 (x * (K(y,z) * u)) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(5550(a,1),11994(a,1,1,2))]. 12020 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(10597(a,1),12019(a,1,2))]. 12021 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(9095(a,1),12020(a,1,2))]. 12023 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(5600(a,1),12021(a,2,2,1,1))]. 12024 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(8195(a,1),12023(a,2,2,1))]. 12025 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(7878(a,2),12024(a,2,2))]. 12026 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(21(a,1),12025(a,2,2,1))]. 12027 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),L(K(z,y),u,x)) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(12026(a,1),6517(a,1,1,2))]. 12028 R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). [para(11882(a,1),12011(a,1,1,1))]. 12029 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ T(K(z,x) * u,K(x,y)). [para(8745(a,1),12018(a,2,2))]. 12030 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(K(z,x),u) * K(K(z,x) * u,K(x,y)). [hyper(255,a,7126,a(flip),b,12029,a)]. 12031 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(K(z,x) * u,K(x,y)). [para(8153(a,1),12030(a,2,1))]. 12032 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(u,K(x,y)). [para(8426(a,1),12031(a,2,2))]. 12033 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [hyper(255,a,11852,a(flip),b,12032,a)]. 12035 K(K(x,y) * K(z,x),R(u * K(y,x),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [para(6673(a,1),12033(a,1,2,1))]. 12036 K(K(x,y) * K(z,x),u * K(y,x)) = K(u,K(z,x) * K(x,y)). [para(9131(a,1),12035(a,1,2))]. 12038 (K(x,y) * K(z,x)) \ K(u,K(z,x) * K(x,y)) = K(x,T(z,u)) * K(y,T(x,u)). [para(12036(a,1),11497(a,1,2))]. 12039 K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)) = K(x * (T(x,y) \ z),T(x,y) / z). [hyper(255,a,11471,a(flip),b,9081,a(flip))]. 12040 K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)) = K(K(y,x) * z,T(x,y) / z). [para(5225(a,1),12039(a,2,1))]. 12041 K((1 / (T(x,y) \ z)) \ x,(T(x,y) \ z) \ 1) = K(K(y,x) * z,T(x,y) / z). [hyper(5580,a,12040,a)]. 12042 K(x * (T(x,y) \ z),(T(x,y) \ z) \ 1) = K(K(y,x) * z,T(x,y) / z). [hyper(255,a,6286,a(flip),b,12041,a(flip)),flip(a)]. 12043 K(K(x,y) * z,(T(y,x) \ z) \ 1) = K(K(x,y) * z,T(y,x) / z). [para(5225(a,1),12042(a,1,1))]. 12044 K(K(x,y) * z,T(y,x) / z) = K(K(x,y) * z,z \ T(y,x)). [hyper(6817,a,12043,a),flip(a)]. 12045 K((T(x,y) / z) \ x,T(x,y) / z) = K(K(y,x) * z,z \ T(x,y)). [hyper(255,a,10946,a,b,12044,a(flip)),flip(a)]. 12046 K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K(K(y,x) * z,z \ T(x,y)). [hyper(255,a,8887,a,b,12045,a(flip)),flip(a)]. 12047 (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9367(a,1),9221(a,1,1,2))]. 12048 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(9219(a,1),12047(a,1,2,1))]. 12049 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(4036(a,1),12048(a,1,2,2))]. 12050 R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(3653(a,1),12049(a,1,2)),flip(a)]. 12052 R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(9219(a,1),12050(a,1,2,1))]. 12054 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(9367(a,1),12052(a,1,2)),flip(a)]. 12055 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(9219(a,1),12054(a,2,3))]. 12056 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [hyper(255,a,10081,a(flip),b,12055,a)]. 12058 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(10647(a,2),12056(a,1,1,2))]. 12059 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(9212,a,12058,a)]. 12060 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [para(7542(a,1),12059(a,1,2))]. 12061 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(12060(a,1),6663(a,1,1)),flip(a)]. 12062 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(255,a,5131,a(flip),b,12061,a)]. 12063 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(1450(a,1),10435(a,1,1))]. 12064 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(255,a,8741,a(flip),b,12063,a)]. 12066 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [para(12064(a,1),19(a,1,2))]. 12067 (K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(12066(a,1),11954(a,1,1))]. 12068 (K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(10178(a,1),12067(a,1,2))]. 12069 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(962,a,12068,a)]. 12070 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(255,a,5600,a(flip),b,12069,a)]. 12071 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). [hyper(255,a,9040,a,b,12070,a(flip)),flip(a)]. 12072 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3225,a,12071,a),flip(a)]. 12073 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(9334,a,12072,a),flip(a)]. 12075 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(9329,a,12073,a),flip(a)]. 12077 K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). [para(12075(a,1),10588(a,1,1))]. 12078 T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). [hyper(5565,a,12077,a)]. 12079 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10543(a,1),12077(a,1,2,2))]. 12080 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(12078(a,1),10253(a,1))]. 12081 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10257(a,1),12079(a,1,2))]. 12082 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5612,a,12081,a)]. 12083 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(12080,a,12082,a)]. 12085 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(12083(a,1),10823(a,1,1)),flip(a)]. 12086 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(12085(a,1),11931(a,1,1))]. 12088 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(255,a,11931,a(flip),b,12086,a(flip))]. 12089 (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [hyper(255,a,9513,a,b,12088,a),flip(a)]. 12090 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(7197(a,1),12089(a,1,1,2))]. 12091 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(569(a,1),12090(a,1,1))]. 12092 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(184(a,1),12091(a,1,2)),flip(a)]. 12093 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). [hyper(255,a,1373,a(flip),b,12092,a)]. 12094 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(47(a,2),12093(a,2,3))]. 12095 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(255,a,12088,a(flip),b,12094,a(flip)),flip(a)]. 12096 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(255,a,12083,a(flip),b,12095,a(flip)),flip(a)]. 12098 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(255,a,11948,a(flip),b,12096,a(flip))]. 12100 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [hyper(255,a,11518,a,b,12098,a(flip)),flip(a)]. 12101 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(9753,a,12100,a)]. 12103 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(12101(a,1),11484(a,1,2)),flip(a)]. 12104 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(37(a,2),12103(a,2,2,2))]. 12105 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(10357(a,1),12104(a,2,2))]. 12106 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(255,a,11694,a(flip),b,12105,a(flip)),flip(a)]. 12107 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(319(a,1),12106(a,1,2,3))]. 12108 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(10030,a,12107,a)]. 12109 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(11756,a,12108,a)]. 12110 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(255,a,12101,a(flip),b,12108,a(flip))]. 12111 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(19(a,1),12109(a,1,2)),flip(a)]. 12112 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(12111(a,1),10255(a,1,2)),flip(a)]. 12113 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12111(a,1),10267(a,1,2)),flip(a)]. 12114 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [hyper(255,a,10543,a(flip),b,12112,a(flip))]. 12115 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(12110(a,1),10359(a,1,1))]. 12116 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(255,a,10349,a(flip),b,12115,a(flip)),flip(a)]. 12117 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(10562(a,1),12114(a,1,2,1)),flip(a)]. 12118 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(255,a,12113,a,b,12117,a)]. 12120 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(12118(a,1),11697(a,2,1,1))]. 12121 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. [hyper(255,a,461,a(flip),b,10706,a)]. 12122 (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [hyper(255,a,1902,a(flip),b,12121,a(flip)),flip(a)]. 12123 (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5606(a,1),12122(a,1,1,2,1))]. 12124 (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(6029(a,1),12123(a,1,1,2,1))]. 12125 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(8270(a,1),12124(a,1,1,2,1)),flip(a)]. 12126 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(255,a,4616,a(flip),b,12125,a(flip))]. 12128 (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). [para(12126(a,1),1320(a,2,1,2)),flip(a)]. 12129 (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). [para(5600(a,1),12128(a,1,1))]. 12130 (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). [para(10303(a,1),12129(a,1,1))]. 12131 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(303,a,12130,a)]. 12134 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(255,a,6372,a(flip),b,12131,a(flip)),flip(a)]. 12135 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(255,a,7623,a(flip),b,12134,a)]. 12136 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(255,a,8055,a(flip),b,12135,a(flip))]. 12138 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(255,a,11143,a(flip),b,12136,a)]. 12139 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(9348,a,12138,a)]. 12141 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). [para(9127(a,1),9133(a,1,1,2,1,1)),flip(a)]. 12142 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(18(a,1),12141(a,2,1,2,1))]. 12144 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(9127(a,1),12142(a,1,1)),flip(a)]. 12145 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2078(a,1),12144(a,2,2))]. 12146 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(255,a,9869,a,b,12145,a(flip)),flip(a)]. 12148 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(304,a,12146,a)]. 12149 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3442(a,1),9575(a,2,1,2))]. 12150 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(596(a,1),12149(a,1,1,2,2))]. 12151 K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3497(a,1),12150(a,1,1,2))]. 12152 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(255,a,5887,a(flip),b,12151,a(flip))]. 12153 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8100(a,1),11119(a,1,2,1,2))]. 12154 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8439(a,1),12153(a,1,2,1,2))]. 12155 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8143(a,1),12154(a,1,2,1,2))]. 12156 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(8278(a,1),12155(a,1,2,1,2))]. 12157 T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(5333(a,1),12156(a,1,2,1))]. 12158 K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [hyper(255,a,5594,a,b,12157,a(flip)),flip(a)]. 12159 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). [para(8459(a,1),12158(a,1,1)),flip(a)]. 12160 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(1601(a,1),12159(a,2,2))]. 12161 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(255,a,8179,a(flip),b,12160,a)]. 12162 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). [para(18(a,1),7121(a,1,1,1)),flip(a)]. 12163 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)). [hyper(255,a,7544,a(flip),b,12162,a)]. 12165 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(255,a,9456,a(flip),b,12163,a)]. 12166 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [hyper(7899,a,12165,a)]. 12167 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(255,a,9485,a(flip),b,12166,a(flip)),flip(a)]. 12168 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(9462,a,12167,a)]. 12169 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(9342,a,12168,a),flip(a)]. 12171 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(255,a,10322,a(flip),b,12169,a(flip)),flip(a)]. 12172 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(6902,a,12171,a),flip(a)]. 12173 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(255,a,9305,a,b,12172,a(flip)),flip(a)]. 12174 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(255,a,11543,a,b,12173,a(flip)),flip(a)]. 12175 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). [para(35(a,2),12174(a,2,2,1))]. 12176 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(255,a,9568,a(flip),b,12175,a(flip))]. 12178 K(x,y) * (((z * x) / z) * L(u,T(K(x,y),(z * x) / z),(z * x) / z)) = ((z * x) / z) * (K(x,y) * u). [para(3336(a,1),7645(a,2,2,1))]. 12179 K(x,y) * (((z * x) / z) * L(u,K(x,y),(z * x) / z)) = ((z * x) / z) * (K(x,y) * u). [para(3336(a,1),12178(a,1,2,2,2))]. 12182 K(x,y) * (((z * x) / z) * u) = ((z * x) / z) * (K(x,y) * u). [para(7667(a,1),12179(a,1,2,2))]. 12183 ((x * y) / x) * (K(y,z) * u) = T(y,z) * (K(x,y) * u). [hyper(5937,a,12182,a),flip(a)]. 12185 K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5600(a,1),9981(a,1,1,1))]. 12186 K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(11282(a,1),12185(a,1,1))]. 12187 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(255,a,6610,a(flip),b,12186,a(flip)),flip(a)]. 12189 K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(255,a,11893,a(flip),b,12187,a(flip)),flip(a)]. 12190 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). [hyper(11878,a,12189,a),flip(a)]. 12191 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). [hyper(255,a,11867,a(flip),b,12190,a)]. 12192 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(255,a,11859,a(flip),b,12191,a)]. 12194 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(255,a,6610,a(flip),b,12192,a(flip)),flip(a)]. 12195 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(12194(a,1),5411(a,1,1))]. 12196 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(11283(a,1),12195(a,1,2))]. 12197 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(83,a,12196,a)]. 12198 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(8153(a,1),12196(a,1,2,1))]. 12199 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5622,a,12197,a)]. 12200 R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). [hyper(2083,a,12197,a)]. 12201 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6358(a,1),12197(a,1,2))]. 12202 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(9562(a,1),12197(a,1,2))]. 12203 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(12197(a,1),10198(a,1,1)),flip(a)]. 12205 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(12197(a,1),11870(a,2,2))]. 12206 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(12197(a,1),11893(a,1,1)),flip(a)]. 12207 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(12197(a,1),12148(a,1,1,2))]. 12208 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). [para(12199(a,1),10520(a,1,1)),flip(a)]. 12209 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [para(12200(a,1),9998(a,2,2))]. 12210 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(5622,a,12203,a)]. 12211 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(11876,a,12206,a)]. 12214 K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. [para(12206(a,1),11876(a,1))]. 12215 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(12197(a,1),12207(a,1,2))]. 12217 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(80,a,128,a(flip),b,12215,a)]. 12218 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(255,a,10018,a(flip),b,12210,a(flip)),flip(a)]. 12219 R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). [para(12211(a,1),12028(a,1,1,1))]. 12220 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(9314(a,1),12198(a,1,2,2))]. 12221 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(11882(a,1),12220(a,1,2))]. 12222 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(9427(a,1),12218(a,1,2))]. 12223 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(5634,a,12222,a)]. 12224 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(255,a,9991,a,b,12223,a)]. 12225 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(255,a,12209,a(flip),b,12208,a)]. 12226 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(336(a,1),12219(a,1,1)),flip(a)]. 12227 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(255,a,9429,a(flip),b,12226,a)]. 12228 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(8100(a,1),12227(a,1,2,1,1))]. 12229 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(9313(a,1),12228(a,1,2,1))]. 12230 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(5263(a,2),12229(a,1,2))]. 12231 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(255,a,9632,a,b,12230,a(flip)),flip(a)]. 12232 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(8141(a,1),12231(a,1,1))]. 12233 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(11841,a,12232,a)]. 12234 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(255,a,12205,a(flip),b,12233,a(flip))]. 12235 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(22,a,5252,a(flip),b,12234,a)]. 12236 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(12214,a,12235,a)]. 12237 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(12236(a,1),12221(a,1,2))]. 12238 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(83,a,12237,a),flip(a)]. 12239 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(255,a,12235,a,b,12238,a)]. 12240 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(8134(a,1),12238(a,1,1))]. 12241 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(8134(a,1),12239(a,1,1))]. 12242 (T(K(x,y) * K(z,x),u) \ 1) \ u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(16(a,1),10425(a,1,1,1,1))]. 12243 (T(K(x,y) * K(z,x),u) \ 1) \ u = T(K(x,y) * K(z,x),u) * u. [hyper(255,a,11972,a,b,12242,a)]. 12244 (T(K(x,y) * K(z,x),u) \ 1) \ u = u * (K(z,x) * K(x,y)). [hyper(255,a,11865,a(flip),b,12243,a)]. 12245 T(K(x,y) * K(y,z),u) \ u = u * (K(z,y) * K(y,x)). [para(11890(a,1),12244(a,1,1))]. 12246 x / (x * (K(y,z) * K(z,u))) = T(K(u,z) * K(z,y),x). [para(12245(a,1),70(a,1,2))]. 12247 (K(x,y) * (K(z,x) * u)) \ u = T(K(y,x) * K(x,z),u). [hyper(255,a,11886,a(flip),b,12246,a(flip)),flip(a)]. 12248 T(K(x,y) * K(y,z),u) \ 1 = T(K(y,x) * K(z,y),u). [para(12247(a,1),10493(a,1,1))]. 12249 K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). [para(5510(a,1),5730(a,1,1))]. 12250 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). [para(5510(a,1),12249(a,1,2,1,1)),flip(a)]. 12251 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). [para(5381(a,1),12250(a,2,2,1))]. 12252 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). [para(6358(a,1),12251(a,2,2))]. 12253 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). [para(5187(a,1),12252(a,1,1,1)),flip(a)]. 12254 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). [para(6358(a,1),12253(a,2,1,2))]. 12255 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). [hyper(255,a,12201,a(flip),b,12254,a(flip))]. 12256 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(5387(a,1),11054(a,1,2)),flip(a)]. 12257 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(21(a,1),3402(a,1,2,1))]. 12258 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(67(a,1),12257(a,1,2))]. 12260 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(219,a,12258,a)]. 12263 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(3741(a,1),12260(a,1,1))]. 12264 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(255,a,7177,a(flip),b,12263,a(flip))]. 12265 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(255,a,5142,a(flip),b,12264,a)]. 12266 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(255,a,10632,a(flip),b,12265,a)]. 12267 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(12265(a,2),7178(a,1,1))]. 12268 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1150(a,1),12266(a,1,2))]. 12269 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(12268(a,1),5241(a,2,1)),flip(a)]. 12270 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(255,a,8154,a,b,12269,a)]. 12271 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. [para(12269(a,2),8183(a,1))]. 12272 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(12267(a,1),11805(a,1,2))]. 12273 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(255,a,6434,a(flip),b,12272,a(flip)),flip(a)]. 12274 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(255,a,10480,a(flip),b,12273,a)]. 12275 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(255,a,11811,a(flip),b,12274,a(flip))]. 12276 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(12274(a,1),73(a,1,1))]. 12277 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(12276(a,1),5062(a,1,2,1))]. 12278 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(255,a,10480,a(flip),b,12277,a)]. 12279 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(12275(a,1),12278(a,1,1))]. 12280 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(255,a,11812,a,b,12279,a(flip)),flip(a)]. 12281 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(6709(a,1),12280(a,1,1))]. 12282 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(255,a,6031,a(flip),b,12281,a(flip))]. 12283 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(255,a,10491,a(flip),b,12282,a(flip)),flip(a)]. 12284 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(12283(a,1),73(a,1,1))]. 12285 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(12284(a,1),2229(a,1,1))]. 12286 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(12285(a,1),6992(a,1,2,1))]. 12287 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T((((y * z) \ y) \ 1) \ x,u)). [hyper(8996,a,12286,a),flip(a)]. 12288 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * ((K(z,x) * y) / z). [para(5214(a,1),5081(a,2,2,1))]. 12289 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * (K(z,x) * (y / z)). [para(7716(a,1),12288(a,2,2))]. 12290 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = T(z,x) * (K(x,z) * (y / z)). [hyper(255,a,12183,a(flip),b,12289,a)]. 12291 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = z * (y / z). [hyper(255,a,5564,a(flip),b,12290,a)]. 12293 ((T(x,y) / z) \ ((y * (((y \ (x * y)) / z) * z)) / y)) * ((y \ (x * y)) / z) = z * (x / z). [para(37(a,2),12291(a,1,1,1,1))]. 12294 ((T(x,y) / z) \ ((y * ((T(x,y) / z) * z)) / y)) * ((y \ (x * y)) / z) = z * (x / z). [para(37(a,2),12293(a,1,1,2,1,2,1,1))]. 12295 ((T(x,y) / z) \ ((y * T(x,y)) / y)) * ((y \ (x * y)) / z) = z * (x / z). [para(21(a,1),12294(a,1,1,2,1,2))]. 12297 ((T(x,y) / z) \ x) * ((y \ (x * y)) / z) = z * (x / z). [para(167(a,1),12295(a,1,1,2))]. 12298 ((T(x,y) / z) \ x) * (T(x,y) / z) = z * (x / z). [para(37(a,2),12297(a,1,2,1))]. 12299 K((T(x,y) / z) \ T(x,u),T(x,y) / z) = T(x,u) \ T(z * (x / z),u). [para(12298(a,1),5046(a,1,2,1)),flip(a)]. 12300 K((T(x,y) / z) \ T(x,u),T(x,y) / z) = K(z,z \ T(x,u)). [hyper(255,a,5659,a(flip),b,12299,a)]. 12301 K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K(z,z \ x). [hyper(255,a,7991,a(flip),b,12300,a)]. 12302 K(K(x,y) * z,z \ T(y,x)) = K(z,z \ y). [hyper(255,a,12046,a(flip),b,12301,a(flip)),flip(a)]. 12304 K(K(x,T(y,z \ T(y,x))) * z,z \ T(y,x)) = K(z,z \ y). [hyper(255,a,8077,a,b,12302,a(flip)),flip(a)]. 12305 K(K(x,T(y,z \ y)) * z,z \ T(y,x)) = K(z,z \ y). [para(8802(a,1),12304(a,1,1,1,2))]. 12306 K(K(x,T(y,z)) * z,z \ T(y,x)) = K(z,z \ y). [para(8542(a,1),12305(a,1,1,1))]. 12308 K(x * K(y,z),x \ T(z,y)) = K(x,x \ z). [para(8235(a,1),12306(a,1,1))]. 12309 T(T(x,y) / z,z * K(y,x)) = T(x,y) / (z * K(z,z \ x)). [para(12308(a,1),7825(a,1,2,2)),flip(a)]. 12310 T(T(x,y) / z,z * K(y,x)) = T(x,y) / T(z,z \ x). [para(5252(a,2),12309(a,2,2))]. 12311 T(x,L(T(y * z,z) / T(y,y \ (y * z)),u,w)) = T(x,L((y * z) / y,u,w)). [para(12310(a,1),11268(a,1,2,1))]. 12312 T(x,L(T(y * z,z) / T(y,z),u,w)) = T(x,L((y * z) / y,u,w)). [para(18(a,1),12311(a,1,2,1,2,2))]. 12313 T(x,L((y * z) / y,u,w)) = T(x,L(z * K(y * z,z),u,w)). [para(5422(a,1),12312(a,1,2,1)),flip(a)]. 12314 T(x,L(T(y,z * y),u,w)) = T(x,L((z * y) / z,u,w)). [hyper(255,a,8864,a(flip),b,12313,a),flip(a)]. 12315 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [hyper(255,a,8863,a(flip),b,12314,a)]. 12316 (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(12315(a,1),11673(a,1,2))]. 12317 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). [para(4536(a,1),12316(a,1,2)),flip(a)]. 12318 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). [para(43(a,1),12317(a,2,2))]. 12319 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x). [hyper(255,a,7790,a(flip),b,12318,a)]. 12320 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x). [para(11637(a,1),12319(a,2,1))]. 12321 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x). [hyper(255,a,7434,a(flip),b,12320,a)]. 12322 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(7537(a,1),12321(a,1,2,3))]. 12323 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(4474(a,1),12322(a,1,2,3))]. 12324 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [hyper(255,a,11738,a,b,12323,a(flip)),flip(a)]. 12325 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(11600(a,1),12324(a,1,1))]. 12326 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(3140(a,1),12325(a,1,2)),flip(a)]. 12327 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(255,a,5600,a(flip),b,12326,a)]. 12328 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(11637(a,1),12327(a,2,1))]. 12329 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(255,a,5263,a,b,12328,a)]. 12330 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(255,a,12004,a,b,12329,a(flip)),flip(a)]. 12331 x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(6849(a,1),10300(a,1,2,1))]. 12332 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(4245(a,1),12331(a,1,2,2)),flip(a)]. 12333 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(8521(a,1),12332(a,2,2))]. 12334 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(18(a,1),12333(a,2,2,1))]. 12335 K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(11991(a,1),12334(a,1,1,2))]. 12336 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8978(a,1),12335(a,1,1))]. 12338 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(11991(a,1),12336(a,1,2,1))]. 12339 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(5804(a,1),12338(a,1,2))]. 12340 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7786(a,1),12339(a,1,2))]. 12341 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(7212(a,1),12340(a,1,2)),flip(a)]. 12342 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(255,a,7814,a,b,12341,a)]. 12344 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(9068(a,1),6546(a,1,1)),flip(a)]. 12345 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(255,a,7714,a,b,12344,a)]. 12347 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(5272(a,1),12345(a,2,1))]. 12348 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(9068(a,1),6547(a,1,1)),flip(a)]. 12349 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(255,a,7714,a,b,12348,a)]. 12351 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(5272(a,1),12349(a,2,1))]. 12352 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). [hyper(255,a,10086,a(flip),b,12351,a)]. 12353 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4565(a,2),12352(a,1,2))]. 12354 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(9064(a,1),12353(a,1,2,1))]. 12355 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4563(a,2),12354(a,1,2,1))]. 12357 K((x * (K(y,x) / T(x,z))) \ 1,((x \ K(x,y)) * T(x,z)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). [para(8888(a,1),11769(a,1,1,1))]. 12358 (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(6125(a,1),11770(a,1,1,1))]. 12359 ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11767(a,1),12358(a,1,1))]. 12360 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11767(a,1),12359(a,1,2,1))]. 12361 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(6125(a,1),12360(a,1,2,2,2))]. 12362 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). [para(10698(a,1),10699(a,2,2,1,1))]. 12363 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). [hyper(255,a,1907,a(flip),b,12362,a)]. 12364 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). [para(2114(a,1),12363(a,2,2))]. 12365 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). [para(821(a,1),12364(a,2,2,1))]. 12366 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1158(a,1),12365(a,2,2,1,2))]. 12367 T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1907(a,1),12366(a,1,1))]. 12368 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). [hyper(255,a,9593,a(flip),b,9840,a)]. 12369 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). [hyper(255,a,8138,a(flip),b,12368,a)]. 12370 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2889(a,1),9792(a,1,1,1,2))]. 12371 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(255,a,18,a(flip),b,11284,a)]. 12373 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(11282(a,1),12371(a,1,3))]. 12375 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(12197(a,1),12373(a,1,3))]. 12376 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [para(12375(a,1),112(a,1,2))]. 12377 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(255,a,12225,a(flip),b,12376,a(flip))]. 12378 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5608(a,1),12377(a,1,2))]. 12379 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(8236(a,1),12378(a,1,1,1)),flip(a)]. 12380 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(173,a,12379,a),flip(a)]. 12381 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),K(z,L(y,u,x))) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(11600(a,1),12027(a,1,2,2))]. 12382 K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(4882(a,1),12370(a,1,1,1))]. 12383 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). [para(126(a,1),12382(a,1,1,1)),flip(a)]. 12385 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). [para(2889(a,1),12383(a,2,1,3,2))]. 12386 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). [para(18(a,1),12385(a,2,1,3))]. 12388 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4857(a,1),12386(a,2,1))]. 12389 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(70(a,1),12388(a,1,1,1,1,2))]. 12390 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(2889(a,1),12389(a,1,1,2))]. 12391 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(255,a,6038,a(flip),b,12390,a(flip)),flip(a)]. 12393 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). [para(37(a,2),12391(a,1,1,1,1)),flip(a)]. 12394 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(10487(a,1),12393(a,2,1,1))]. 12395 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(255,a,7622,a(flip),b,12394,a)]. 12396 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(37(a,2),12395(a,1,1,3))]. 12397 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7542(a,1),12396(a,2,1))]. 12398 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(255,a,7206,a(flip),b,12397,a(flip)),flip(a)]. 12399 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [para(12398(a,1),6918(a,2,2))]. 12400 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * L(K(y * x,T(z,y)),y,x). [para(12398(a,1),8867(a,2,2))]. 12401 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [hyper(255,a,112,a(flip),b,12399,a)]. 12402 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [para(7559(a,1),12401(a,2,2))]. 12403 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [hyper(6893,a,12402,a)]. 12404 K(x * y,z) * x = x * K(y * x,z). [hyper(11395,a,12403,a),flip(a)]. 12405 K(x * y,T(z,y)) = K(y * x,z). [hyper(8290,a,12404,a),flip(a)]. 12406 K(x * y,T(z,x)) = K(y * x,z). [hyper(7651,a,12404,a)]. 12407 K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). [hyper(23,a,8545,a(flip),b,12404,a)]. 12410 K(x * (y / x),z) = K(y,T(z,x)). [para(21(a,1),12405(a,1,1)),flip(a)]. 12411 K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u). [para(396(a,1),12405(a,1,1))]. 12412 K(T(x,y),z * y) = 1 / K(y * z,x). [para(12405(a,1),5394(a,1,2)),flip(a)]. 12413 K(x * y,z) * y = y * K(y * x,z). [para(12405(a,1),7559(a,1,2)),flip(a)]. 12414 K((x \ y) * x,z) = K(y,T(z,x)). [para(19(a,1),12406(a,1,1)),flip(a)]. 12415 K(((x * (y \ z)) / x) * y,u) = K(z * K(x,(z \ y) \ 1),T(u,y)). [para(5775(a,2),12406(a,1,1)),flip(a)]. 12416 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(12406(a,1),12062(a,1,1))]. 12417 K(T(x,y) * y,z) = K(x * y,T(z,x)). [para(4127(a,2),12410(a,1,1))]. 12418 K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). [para(6022(a,1),12410(a,1,1,2)),flip(a)]. 12419 K((x \ y) * x,T(y,z)) = 1. [hyper(255,a,403,a(flip),b,12414,a)]. 12420 T(x,(y \ z) * y) = x / K(z,T(x,y)). [para(12414(a,1),5197(a,2,2))]. 12421 K(T(x,y),z * y) = K(x,y * z). [hyper(255,a,5394,a(flip),b,12412,a)]. 12422 K(x,T(y * z,z)) = K(x,z * y). [hyper(7899,a,12421,a)]. 12423 K(x,T(y * z,y)) = K(x,z * y). [hyper(8571,a,12422,a)]. 12424 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [hyper(8551,a,12422,a)]. 12426 K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). [hyper(8565,a,12423,a)]. 12427 K(x,(y \ z) * y) = K(x,T(z,y)). [para(19(a,1),12423(a,1,2,1)),flip(a)]. 12428 T(x,T(y * z,y)) = x * K(x,z * y). [para(12423(a,1),5252(a,2,2))]. 12429 T(x * y,T(z,x)) \ 1 = (x * y) \ K(z,y * x). [para(12423(a,1),7581(a,2,2))]. 12430 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(12423(a,1),11113(a,1,2)),flip(a)]. 12431 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(5025(a,1),12427(a,1,2)),flip(a)]. 12432 K(T(x \ y,x) * x,y) = 1. [hyper(255,a,12419,a(flip),b,12417,a)]. 12433 x * K(T(y \ z,y) * y,z) = x. [para(12432(a,2),17(a,1,2))]. 12434 T(x,(y \ z) * y) = T(x,T(z,y)). [hyper(255,a,7594,a(flip),b,12420,a)]. 12435 T(x,T(y * z,y)) = T(x,z * y). [para(18(a,1),12434(a,1,2,1)),flip(a)]. 12437 T(T(x,K(y,z)),z * y) = T(x,y * z). [hyper(255,a,8365,a,b,12435,a(flip)),flip(a)]. 12439 T(x,T(y * z,y)) != u | T(x,z * y) = u. [para(12428(a,2),5255(a,1))]. 12440 T(T(x,y * z),K(y,z)) = T(x,z * y). [hyper(8204,a,12437,a)]. 12441 T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. [para(12440(a,1),6800(a,1,1)),flip(b)]. 12442 T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. [para(8365(a,2),12439(a,1))]. 12443 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). [para(2142(a,1),12407(a,1,1)),flip(a)]. 12444 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(255,a,10161,a(flip),b,12424,a(flip))]. 12445 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [hyper(255,a,11462,a(flip),b,12426,a)]. 12446 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(8504,a,12430,a)]. 12447 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(y,z)). [para(21(a,1),12430(a,2,2,2))]. 12448 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). [para(12430(a,1),8168(a,1,2,2))]. 12449 K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. [para(12431(a,1),5403(a,1))]. 12450 K(x,T(y * z,z)) != u | K(x,z * y) = u. [para(12431(a,1),9339(a,1))]. 12452 K(x,T(y * z,y)) != u | K(x,z * y) = u. [para(8541(a,1),12450(a,1))]. 12453 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(255,a,8503,a(flip),b,12446,a(flip))]. 12454 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). [para(12447(a,1),9077(a,2,2))]. 12456 T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. [para(8154(a,1),12442(a,1,1,2))]. 12457 T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. [para(8131(a,1),12442(a,1,1,2))]. 12458 T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. [para(8236(a,1),12442(a,1,1,2))]. 12459 T(K(x,y) * K(z,x),T(u,K(x,y))) \ 1 = K(x,T(z,u)) * K(y,T(x,u)). [hyper(255,a,12038,a(flip),b,12429,a)]. 12460 T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)). [hyper(9430,a,12448,a)]. 12461 (x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x). [para(12460(a,1),11610(a,1,2))]. 12462 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(255,a,9487,a(flip),b,12445,a(flip))]. 12463 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(255,a,11461,a(flip),b,12462,a(flip)),flip(a)]. 12464 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(472(a,1),12463(a,1,2)),flip(a)]. 12465 K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [hyper(8565,a,12411,a)]. 12466 K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). [para(11980(a,1),12416(a,1,1,1))]. 12467 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = T(L(K(z,u),y,x),T(x * y,K(z,u))). [para(12461(a,1),129(a,1,1)),flip(a)]. 12468 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / ((x * (y * K(z,u))) / L(K(z,u),y,x)). [para(12461(a,1),5466(a,1,2,2)),flip(a)]. 12469 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(255,a,8436,a(flip),b,12453,a(flip))]. 12470 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(8504,a,12469,a)]. 12471 K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). [para(5845(a,2),12470(a,2,2))]. 12472 T(K(x,y) * K(y,z),u) \ 1 = K(y,T(x,u)) * K(z,T(y,u)). [para(10301(a,1),12459(a,1,1))]. 12473 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(255,a,12248,a(flip),b,12472,a(flip))]. 12474 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(12473(a,1),10284(a,1,1)),flip(a)]. 12475 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [hyper(255,a,11206,a(flip),b,12474,a(flip))]. 12476 K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(848(a,1),12465(a,1,1))]. 12477 K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). [hyper(9355,a,12476,a),flip(a)]. 12479 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). [hyper(255,a,4461,a(flip),b,12467,a)]. 12480 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). [para(7539(a,2),12479(a,2,1))]. 12481 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(10746(a,1),12475(a,1,1)),flip(a)]. 12483 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(12481(a,1),12120(a,2,1))]. 12484 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(12111(a,1),12483(a,2,1,1))]. 12486 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(7464(a,1),12484(a,1,1,1))]. 12488 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(10189(a,1),12486(a,1,1))]. 12489 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(9374(a,1),12488(a,1,1)),flip(a)]. 12490 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(80,a,12489,a(flip),b,637,a)]. 12491 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(255,a,11303,a(flip),b,12490,a(flip))]. 12492 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(10020(a,1),12491(a,2,2))]. 12493 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(255,a,10022,a(flip),b,12492,a)]. 12496 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(38,a,12493,a)]. 12497 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(12496(a,1),11372(a,1,2))]. 12498 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(10047(a,1),12497(a,1,1,2,1))]. 12499 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(467,a,12498,a),flip(a)]. 12501 R(a(x,y,x),z,u) = a(x,y,x). [hyper(22,a,10017,a(flip),b,12499,a)]. 12503 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(255,a,458,a,b,12501,a(flip)),flip(a)]. 12504 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(255,a,12109,a(flip),b,12501,a(flip)),flip(a)]. 12505 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(255,a,10302,a(flip),b,12501,a(flip))]. 12506 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(12501(a,1),122(a,1,1)),flip(a)]. 12508 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (a(u,z,u) * (K(z,u) * y)) \ (K(u * z,u) * (y * x)). [para(12501(a,1),9186(a,1,1,1)),flip(a)]. 12509 L(x,y,a(z,u,z)) = x. [para(12501(a,1),12496(a,1,3))]. 12510 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(12509(a,1),483(a,1,2))]. 12511 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(12509(a,1),425(a,1,2,1)),flip(a)]. 12514 a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). [hyper(255,a,11585,a,b,12504,a)]. 12515 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(12504(a,1),12116(a,1,2)),flip(a)]. 12516 a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). [hyper(11949,a,12514,a),flip(a)]. 12518 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5984(a,1),12505(a,1,2)),flip(a)]. 12519 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(12506(a,1),29(a,2,1)),flip(a)]. 12520 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(10017(a,1),12506(a,1,1))]. 12522 a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). [para(37(a,1),12516(a,1,2))]. 12523 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z * a(x,y,x),u). [hyper(5258,a,12520,a)]. 12524 (x * a(y,x,y)) * z = x * (a(y,x,y) * z). [hyper(255,a,11727,a(flip),b,12520,a)]. 12525 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(255,a,9182,a(flip),b,12515,a)]. 12527 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(10351,a,12525,a),flip(a)]. 12528 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(255,a,11059,a,b,12522,a(flip)),flip(a)]. 12529 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(255,a,11327,a(flip),b,12527,a(flip)),flip(a)]. 12530 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(255,a,12139,a(flip),b,12529,a(flip)),flip(a)]. 12534 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(255,a,12176,a(flip),b,12530,a(flip)),flip(a)]. 12536 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(255,a,11918,a(flip),b,12534,a(flip))]. 12537 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(10036(a,1),12503(a,1,1,1))]. 12538 a(x,y,x) \ T(z * a(x,y,x),u) != z * w | K(z * a(x,y,x),u) = w. [para(12523(a,2),24(a,1))]. 12539 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(255,a,11519,a(flip),b,12518,a(flip)),flip(a)]. 12540 a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). [hyper(255,a,11473,a(flip),b,12528,a(flip))]. 12541 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(255,a,12256,a,b,12540,a),flip(a)]. 12543 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(255,a,11970,a(flip),b,12536,a(flip)),flip(a)]. 12544 R(K(x,y),z,u) = K(R(x,z,u),y). [para(5911(a,1),12543(a,1,1))]. 12545 R(K(x,y),K(x,z),u) = K(x,y). [para(4610(a,1),12544(a,2,1))]. 12550 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(12544(a,1),9993(a,1,1,1,2))]. 12552 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [para(12545(a,1),122(a,1,1)),flip(a)]. 12553 L(x,K(y,z),K(y,u)) = x. [hyper(422,a,12552,a)]. 12554 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(255,a,6306,a(flip),b,12553,a(flip)),flip(a)]. 12555 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(255,a,6144,a(flip),b,12553,a(flip)),flip(a)]. 12557 (K(x,y) * K(x,z)) \ 1 = K(z,x) * K(y,x). [hyper(255,a,6108,a,b,12555,a)]. 12558 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. [para(12555(a,1),7325(a,2,1))]. 12559 K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. [hyper(255,a,6555,a(flip),b,12554,a(flip))]. 12560 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(11906,a,12550,a)]. 12561 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [para(60(a,1),12560(a,1,2))]. 12562 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(92,a,12561,a),flip(a)]. 12564 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(12561(a,1),91(a,1)),flip(b)]. 12565 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(255,a,12544,a(flip),b,12562,a(flip)),flip(a)]. 12571 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(12562(a,1),12197(a,1,2))]. 12572 T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). [para(12562(a,1),12224(a,2,1,2))]. 12573 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(7317,a,12565,a),flip(a)]. 12576 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(12544(a,1),12564(a,1))]. 12577 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(255,a,12202,a(flip),b,12571,a(flip)),flip(a)]. 12578 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(12577(a,2),12239(a,2,1)),flip(a)]. 12579 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(255,a,12241,a,b,12578,a(flip)),flip(a)]. 12581 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(12576,a,12573,a)]. 12582 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(5252(a,2),12572(a,2,1))]. 12583 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(3531(a,1),12559(a,1,2)),flip(a)]. 12584 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(255,a,5683,a(flip),b,12583,a)]. 12585 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(8605(a,1),12584(a,2,2))]. 12586 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))). [para(12585(a,1),12357(a,1,2)),flip(a)]. 12587 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(122(a,1),12537(a,1,1))]. 12588 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12524(a,1),12587(a,1,1,1))]. 12589 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(19(a,1),12588(a,1,2,1))]. 12590 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(11728(a,1),12589(a,1,1,1)),flip(a)]. 12591 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(255,a,35,a,b,12590,a)]. 12592 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(18(a,1),12591(a,1,2,2)),flip(a)]. 12593 a(x,R(y,z,u),x) = a(x,y,x). [hyper(255,a,12501,a(flip),b,12592,a(flip))]. 12595 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(12593(a,1),9169(a,1,1))]. 12596 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(12593(a,1),9189(a,1,1)),flip(a)]. 12597 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(255,a,9189,a(flip),b,12596,a)]. 12598 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(12597(a,1),12355(a,1,2))]. 12599 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [hyper(10069,a,12595,a)]. 12600 (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). [para(12599(a,2),4449(a,1,1))]. 12601 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(718(a,1),12598(a,1,2)),flip(a)]. 12603 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(12601(a,1),5182(a,2,2)),flip(a)]. 12604 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(255,a,12342,a(flip),b,12603,a(flip)),flip(a)]. 12605 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(12202(a,1),12604(a,1,1))]. 12606 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(255,a,12380,a,b,12605,a(flip))]. 12607 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(584(a,1),12606(a,2,1,2))]. 12608 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(255,a,5911,a,b,12607,a(flip)),flip(a)]. 12609 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(21(a,1),12607(a,1,1))]. 12610 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(255,a,9020,a(flip),b,12609,a(flip)),flip(a)]. 12611 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(255,a,12444,a(flip),b,12610,a(flip)),flip(a)]. 12612 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(5376(a,1),12611(a,2,1))]. 12613 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). [hyper(255,a,10565,a(flip),b,12600,a(flip)),flip(a)]. 12614 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(12607(a,1),12608(a,1,1))]. 12616 a(L(x,y,z),T(u,L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [para(37(a,2),12541(a,1,2))]. 12617 a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(9754,a,12616,a)]. 12618 a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). [hyper(255,a,12504,a(flip),b,12617,a)]. 12619 L(a(x,y,x),z,u) = a(x,y,x). [hyper(255,a,11683,a(flip),b,12618,a(flip)),flip(a)]. 12622 a(x,y * K(z,y),x) = a(x,y,x). [hyper(255,a,12505,a,b,12619,a(flip)),flip(a)]. 12624 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(12619(a,1),112(a,1,2))]. 12627 a(x,T(y,z),x) = a(x,y,x). [para(5266(a,1),12622(a,1,2)),flip(a)]. 12628 a(x,y / z,x) = a(x,z \ y,x). [para(5268(a,1),12622(a,1,2))]. 12631 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(187(a,1),12627(a,1,2)),flip(a)]. 12632 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(476(a,1),12627(a,1,2)),flip(a)]. 12633 a(1 / ((x * y) \ x),z,1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(12627(a,1),9187(a,1,1))]. 12635 a(x,y / (z * y),x) = a(x,z \ 1,x). [hyper(255,a,11204,a(flip),b,12628,a)]. 12636 a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). [para(11216(a,1),12635(a,1,2,2)),flip(a)]. 12637 R(x,y,a(z,u,z)) = x. [hyper(10811,a,12624,a)]. 12638 x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). [hyper(850,a,12624,a)]. 12639 L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)). [hyper(10352,a,12637,a)]. 12641 ((a(x,y,x) * z) \ (z * u)) * a(x,y,x) != w | L(u,z,a(x,y,x)) = w. [para(12638(a,1),10038(a,1))]. 12642 x \ (y * (z * a(u,w,u))) = (x \ (y * z)) * a(u,w,u). [para(12624(a,1),12638(a,1,2))]. 12643 T(x,y * a(z,u,z)) = T(x,y). [hyper(255,a,12509,a(flip),b,12639,a(flip))]. 12645 T(x,(y * z) * y) = T(x,y * (z * y)). [para(100(a,1),12643(a,1,2))]. 12646 T(x,T(y,z) / z) = T(x,z \ y). [para(9175(a,1),12643(a,1,2))]. 12647 T(x,a(y,z,y) \ u) = T(x,u). [para(10016(a,1),12643(a,1,2)),flip(a)]. 12648 T(x,a(y,z,y) \ u) = x * K(x,u). [hyper(255,a,5252,a(flip),b,12647,a)]. 12649 K(x,a(y,z,y) \ u) = K(x,u). [hyper(5323,a,12648,a)]. 12650 K(x,(y \ R(y,z,y)) \ u) = K(x,u). [para(9151(a,1),12649(a,1,2,1))]. 12651 L(K(x,y \ z),y \ z,y) = K(x,(y * (u \ R(u,w,u))) \ z). [para(12650(a,1),6989(a,1,1))]. 12652 K(x,y / (z \ R(z,u,z))) = K(x,y). [para(10026(a,2),12650(a,1,2))]. 12653 K(x,y * (z \ R(z,u,z))) = K(x,y). [para(20(a,1),12652(a,1,2)),flip(a)]. 12654 K(x,y * a(z,u,z)) = K(x,y). [para(9152(a,1),12653(a,1,2,2))]. 12655 K(x,y * R(z,u,z)) = K(x,y * z). [para(10066(a,1),12654(a,1,2))]. 12657 K(x,y * T(z,z * u)) = K(x,y * T(z,u)). [para(4578(a,1),12655(a,1,2,2)),flip(a)]. 12659 T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). [para(5959(a,1),12645(a,1,2)),flip(a)]. 12660 K(x,y * T(z,z * u)) = x \ T(x,y * T(z,u)). [hyper(255,a,5186,a(flip),b,12657,a)]. 12661 K(x,y * T(z,z * u)) != w | K(x,y * T(z,u)) = w. [para(12660(a,2),5325(a,1))]. 12662 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(255,a,12631,a(flip),b,12632,a(flip)),flip(a)]. 12663 a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). [hyper(255,a,12593,a(flip),b,12662,a(flip))]. 12665 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(12663(a,1),10044(a,1,2,1)),flip(a)]. 12666 ((a(x,y,x) * z) \ (z * u)) * a(x,y,x) = L(T(u,a(x,y,x)),a(x,y,x),z). [hyper(10041,a,12642,a),flip(a)]. 12667 K(x,(y * (z \ R(z,u,z))) \ w) = K(x,y \ w). [hyper(8037,a,12651,a),flip(a)]. 12669 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(19(a,1),12667(a,1,2,1))]. 12670 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(10042(a,1),12667(a,1,2,1))]. 12671 K(x,T(y,y \ z) \ u) = K(x,T(y,z) \ u). [para(4642(a,1),12669(a,1,2,1))]. 12672 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(7731(a,1),12669(a,1,2,1))]. 12673 L(K(x,y \ z),z,a(u,w,u)) = K(x,y \ (a(u,w,u) * z)). [hyper(7063,a,12670,a)]. 12674 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(9169(a,1),12670(a,1,2,1))]. 12675 K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). [hyper(255,a,12671,a,b,12672,a),flip(a)]. 12676 K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. [hyper(255,a,6670,a,b,12672,a)]. 12677 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(19(a,1),12674(a,1,2,1,1)),flip(a)]. 12678 K(x,T(y,z) \ z) = K(x,z / y). [hyper(255,a,8412,a(flip),b,12677,a(flip))]. 12679 K(x,y \ T(z,y)) = K(x,z / y). [para(4458(a,1),12678(a,1,2))]. 12680 K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. [para(12676(a,2),6693(a,1))]. 12681 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [hyper(255,a,12509,a(flip),b,12673,a(flip))]. 12683 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(9169(a,1),12681(a,1,2,2))]. 12686 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [hyper(255,a,10044,a(flip),b,12665,a)]. 12687 T(x,(y / z) * y) = T(x,y * (z \ y)). [para(5166(a,1),12659(a,1,2,2))]. 12688 L(T(x,a(y,z,y)),a(y,z,y),u) = L(x,u,a(y,z,y)). [hyper(12641,a,12666,a),flip(a)]. 12689 L(x,a(y,z,y),u) = L(x,u,a(y,z,y)). [para(10019(a,1),12688(a,1,1))]. 12690 L(x,a(y,z,y),u) = x. [hyper(255,a,12509,a(flip),b,12689,a)]. 12692 (x * a(y,z,y)) \ u = a(y,z,y) \ (x \ u). [hyper(255,a,241,a(flip),b,12690,a(flip)),flip(a)]. 12693 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [para(12690(a,1),112(a,1,2))]. 12694 (a(x,y,x) * z) \ u = a(x,y,x) \ (z \ u). [para(10017(a,2),12692(a,1,1))]. 12695 R(x,a(y,z,y),u) = x. [hyper(5091,a,12693,a)]. 12698 T((a(x,y,x) * z) \ (u * z),a(x,y,x)) = T(a(x,y,x) \ u,a(x,y,x) * z). [hyper(255,a,919,a(flip),b,12695,a(flip)),flip(a)]. 12700 T(a(x,y,x) \ z,a(x,y,x) * u) = (a(x,y,x) * u) \ (z * u). [hyper(255,a,10019,a(flip),b,12698,a(flip))]. 12702 T(a(x,y,x) \ z,u * a(x,y,x)) = (a(x,y,x) * u) \ (z * u). [para(10017(a,1),12700(a,1,2))]. 12703 T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ (u \ (z * u)). [hyper(255,a,12694,a(flip),b,12702,a)]. 12704 T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ T(z,u). [para(37(a,2),12703(a,2,2))]. 12705 a(x,y,x) \ T(z,u) = T(a(x,y,x) \ z,u). [hyper(255,a,12643,a(flip),b,12704,a(flip))]. 12707 K(x,y) * T(a(x,y,x) \ z,u) = K(x,x * y) * T(z,u). [para(12705(a,1),9806(a,1,2))]. 12708 K(x,x * y) * T(a(x,y,x) * z,u) = K(x,y) * T(z,u). [para(18(a,1),12707(a,1,2,1)),flip(a)]. 12709 T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). [hyper(9807,a,12708,a),flip(a)]. 12710 (x * (y * T(a(z,u,z) * (a(z,u,z) \ (y \ (x \ w))),v5))) \ w = K(v5,(x * (y * a(z,u,z))) \ w). [para(12709(a,2),7094(a,1,1,2,2))]. 12711 T(x * a(y,z,y),u) = a(y,z,y) * T(x,u). [para(10017(a,1),12709(a,1,1))]. 12712 a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u). [hyper(80,a,12711,a,b,xx)]. 12713 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z,u). [hyper(255,a,5252,a(flip),b,12712,a)]. 12715 K(x * a(y,z,y),u) = K(x,u). [hyper(12538,a,12713,a)]. 12716 K(a(x,y,x) * z,u) = K(z,u). [para(10017(a,2),12715(a,1,1))]. 12719 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(12506(a,1),12511(a,2,1))]. 12720 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(255,a,12510,a(flip),b,12719,a)]. 12721 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(35(a,2),12720(a,2,2))]. 12722 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(12509(a,1),12721(a,1,2))]. 12723 T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(12722(a,2),12367(a,1,1,2))]. 12724 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(12506(a,1),12519(a,1,2,1))]. 12725 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(5436(a,1),12539(a,2,2))]. 12726 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(9179,a,12725,a)]. 12727 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(12619(a,1),12726(a,1,1))]. 12728 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(255,a,12628,a(flip),b,12727,a)]. 12730 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(33(a,2),12728(a,2,2))]. 12731 a(x,L(y,z,u),x) = a(x,y,x). [hyper(255,a,12619,a(flip),b,12730,a(flip))]. 12733 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(241(a,1),12731(a,1,2))]. 12734 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [para(1977(a,2),12731(a,1,2)),flip(a)]. 12735 R(x,L(y,z,u),x) = x * a(x,y,x). [para(12731(a,1),9159(a,1,2)),flip(a)]. 12736 R(x,L(y,z,u),x) = R(x,y,x). [hyper(255,a,9159,a(flip),b,12735,a)]. 12737 L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(12736(a,1),12347(a,1,2,1))]. 12738 L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. [para(12734(a,1),9366(a,1,1)),flip(a)]. 12739 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [hyper(255,a,9366,a(flip),b,12738,a)]. 12740 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(12506(a,1),12724(a,1,2))]. 12741 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(754,a,12740,a)]. 12742 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(255,a,12509,a(flip),b,12741,a(flip))]. 12744 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(19(a,1),12742(a,1,1)),flip(a)]. 12745 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(9185(a,1),12742(a,1,1))]. 12746 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(9150(a,1),12742(a,1,1))]. 12747 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(9149(a,1),12744(a,1,1))]. 12748 a(K(x \ 1,y),z,u) = a(K(x \ y,y),z,u). [para(9173(a,1),12744(a,1,1))]. 12749 a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u). [para(19(a,1),12745(a,1,1,1))]. 12750 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(255,a,12612,a,b,12747,a(flip)),flip(a)]. 12751 a(K(x,y \ x),z,u) = a(K(y,x),z,u). [hyper(255,a,12746,a(flip),b,12749,a)]. 12752 a(K(x \ y,y),z,u) = a(K(y,x),z,u). [para(5584(a,1),12751(a,1,1)),flip(a)]. 12753 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [hyper(255,a,12748,a,b,12752,a(flip)),flip(a)]. 12754 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(3312(a,1),12753(a,1,1)),flip(a)]. 12755 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(11344(a,2),12753(a,2,1)),flip(a)]. 12756 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(255,a,12201,a,b,12754,a(flip)),flip(a)]. 12757 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(12565(a,1),12754(a,2,1))]. 12758 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(255,a,6782,a(flip),b,12750,a(flip)),flip(a)]. 12759 ((x * (y \ R(y,z,u))) / ((x * (y \ R(y,z,u))) / x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [hyper(255,a,6333,a(flip),b,12750,a(flip)),flip(a)]. 12760 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(255,a,12255,a,b,12757,a(flip)),flip(a)]. 12761 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(255,a,12754,a(flip),b,12757,a(flip)),flip(a)]. 12762 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6387(a,1),12755(a,2,1))]. 12763 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(255,a,12753,a(flip),b,12762,a)]. 12764 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(11344(a,1),12763(a,1,1))]. 12765 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(255,a,12761,a(flip),b,12764,a)]. 12766 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(12756(a,1),12760(a,1,1)),flip(a)]. 12767 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(255,a,12614,a(flip),b,12766,a)]. 12768 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(255,a,12765,a(flip),b,12767,a(flip)),flip(a)]. 12769 L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(12736(a,1),12737(a,1,2,2,1))]. 12771 L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4563(a,2),12769(a,1,2))]. 12773 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4621(a,1),12771(a,1,2,2))]. 12774 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(12435(a,1),12773(a,1,2))]. 12775 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(716(a,1),12774(a,1,2)),flip(a)]. 12776 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(255,a,10085,a(flip),b,12775,a(flip)),flip(a)]. 12777 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(80,a,12776,a(flip),b,5252,a(flip))]. 12778 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(9146,a,12777,a),flip(a)]. 12779 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(255,a,11633,a(flip),b,12778,a)]. 12780 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(21(a,1),12779(a,1,1))]. 12781 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(255,a,7101,a(flip),b,12780,a(flip)),flip(a)]. 12782 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(11579(a,1),12781(a,2,3))]. 12783 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(255,a,11707,a(flip),b,12782,a)]. 12785 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(255,a,11002,a(flip),b,12783,a(flip)),flip(a)]. 12786 ((x * (L(y,z,u) \ y)) / ((x * (L(y,z,u) \ y)) / x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [hyper(255,a,6333,a(flip),b,12785,a(flip)),flip(a)]. 12787 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(21(a,1),12785(a,1,2))]. 12788 K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w). [para(12785(a,1),5605(a,1,2,1)),flip(a)]. 12789 K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). [hyper(255,a,10206,a(flip),b,12788,a)]. 12790 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [para(12789(a,1),11709(a,1,3)),flip(a)]. 12791 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [hyper(255,a,11723,a(flip),b,12790,a(flip)),flip(a)]. 12792 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(12790(a,1),9958(a,1,2))]. 12793 a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). [para(12791(a,1),11912(a,1,1))]. 12794 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(6939,a,12787,a)]. 12795 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(255,a,11019,a(flip),b,12794,a(flip)),flip(a)]. 12796 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(11582(a,1),12795(a,2,3))]. 12797 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(73(a,1),12796(a,2,3,1))]. 12800 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(12797(a,1),5605(a,1,2,1)),flip(a)]. 12801 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(255,a,10206,a(flip),b,12800,a)]. 12802 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(12801(a,1),5252(a,2,2))]. 12803 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(9970(a,1),12792(a,1,2)),flip(a)]. 12804 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(255,a,17,a(flip),b,12803,a)]. 12806 K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). [para(12804(a,1),5605(a,1,2,1)),flip(a)]. 12807 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(255,a,5605,a(flip),b,12806,a)]. 12808 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(12807(a,1),5252(a,2,2))]. 12809 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(255,a,5252,a,b,12808,a)]. 12810 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(9971(a,1),12793(a,1,1))]. 12811 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(83,a,12810,a)]. 12813 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(255,a,7105,a(flip),b,12811,a(flip)),flip(a)]. 12815 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(12813(a,1),5252(a,2,2)),flip(a)]. 12818 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(5255,a,12815,a),flip(a)]. 12819 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(12818(a,2),542(a,1,1))]. 12821 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(255,a,12802,a(flip),b,12819,a)]. 12822 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). [para(59(a,1),12443(a,2,1,2,2,1,2))]. 12823 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). [para(16(a,1),12822(a,2,1,2))]. 12824 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. [para(12823(a,2),8560(a,1))]. 12825 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(19(a,1),12723(a,1,1,2,1)),flip(a)]. 12826 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(12825(a,1),12758(a,1,1))]. 12827 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(18(a,1),12826(a,1,2))]. 12828 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(5281,a,12827,a),flip(a)]. 12830 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(12828(a,1),12240(a,2,2))]. 12831 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(255,a,12579,a(flip),b,12830,a(flip))]. 12832 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(255,a,9527,a,b,12831,a(flip)),flip(a)]. 12833 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(8138(a,2),12832(a,2,1))]. 12834 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(9717,a,12833,a)]. 12835 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(255,a,10140,a(flip),b,12834,a(flip)),flip(a)]. 12836 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(8154(a,1),12835(a,2,1))]. 12838 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(9316(a,1),12836(a,2,1))]. 12839 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(10160,a,12838,a)]. 12842 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(255,a,10791,a(flip),b,12839,a(flip)),flip(a)]. 12844 a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). [hyper(11032,a,12636,a)]. 12845 a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). [hyper(255,a,12733,a(flip),b,12844,a(flip)),flip(a)]. 12846 a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). [para(33(a,2),12845(a,1,2,2))]. 12847 a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(5123(a,1),12846(a,1,2))]. 12848 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(255,a,11239,a(flip),b,12847,a(flip)),flip(a)]. 12849 a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). [hyper(255,a,12628,a(flip),b,12848,a),flip(a)]. 12851 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(152(a,1),12849(a,1,2,2))]. 12852 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(12851(a,1),10327(a,1,1,2))]. 12853 K(x,(y * (z * a(u,w,u))) \ v5) = (y * (z * T(z \ (y \ v5),x))) \ v5. [para(19(a,1),12710(a,1,1,2,2,1)),flip(a)]. 12854 K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). [hyper(255,a,6827,a(flip),b,12853,a)]. 12856 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(9181(a,1),12854(a,1,2,1,2))]. 12857 K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w). [para(9377(a,1),12854(a,1,2,1)),flip(a)]. 12858 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (y * K(y * x,T(z,y))). [hyper(255,a,112,a(flip),b,12400,a)]. 12859 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7559(a,1),12858(a,2,2))]. 12860 K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(127(a,1),12859(a,1,1,2,2,1))]. 12861 K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(8396(a,1),12860(a,1,1,2))]. 12862 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7553(a,1),12861(a,1,1))]. 12863 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(127(a,1),12862(a,1,2,1,1,1))]. 12865 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(12863(a,1),5347(a,1,2)),flip(a)]. 12866 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [hyper(255,a,5559,a(flip),b,12865,a)]. 12867 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(255,a,4398,a(flip),b,12866,a(flip))]. 12869 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(255,a,9288,a(flip),b,12867,a(flip))]. 12870 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(12869(a,2),8614(a,1,1))]. 12871 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(12413(a,1),12870(a,1,1,1))]. 12872 T(x * K(x * ((y * z) \ z),y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(6433(a,2),12871(a,1,2,2))]. 12873 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(33(a,2),12471(a,1,2,2,2)),flip(a)]. 12874 (x * K(L(y,z,u) \ y,x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [para(5165(a,1),12786(a,1,1))]. 12875 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [para(18(a,1),12874(a,1,2,2))]. 12877 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(12739(a,1),12875(a,1,2))]. 12878 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(255,a,5849,a(flip),b,12877,a(flip)),flip(a)]. 12879 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(255,a,7709,a(flip),b,12878,a(flip)),flip(a)]. 12880 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(12809(a,1),12879(a,1,2,1))]. 12881 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(5491,a,12880,a)]. 12882 (x * K(y \ R(y,z,u),x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [para(5165(a,1),12759(a,1,1))]. 12883 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [para(18(a,1),12882(a,1,2,2))]. 12885 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (L(T(u,z),z,u) \ y)) \ (K(u * z,u) * (y * x)). [para(10188(a,1),12508(a,2,1))]. 12887 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (T(u,u * z) \ y)) \ (K(u * z,u) * (y * x)). [para(542(a,1),12885(a,2,1,2,1))]. 12888 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (K(u * z,u) * y) \ (K(u * z,u) * (y * x)). [para(5225(a,1),12887(a,2,1))]. 12889 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = L(x,y,K(u * z,u)). [hyper(255,a,33,a,b,12888,a)]. 12890 L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). [para(12501(a,1),12889(a,1,3))]. 12891 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [hyper(255,a,12509,a(flip),b,12890,a(flip))]. 12894 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(19(a,1),12891(a,1,3,1)),flip(a)]. 12895 L(x,y / z,K(y,z)) = x. [hyper(255,a,7635,a(flip),b,12894,a(flip))]. 12896 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(12895(a,1),5702(a,1,2)),flip(a)]. 12897 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5622,a,12896,a)]. 12898 R(K(x,y),x \ y,z) = K(x,y). [hyper(9574,a,12897,a)]. 12899 R(K(x,x * y),y,z) = K(x,x * y). [para(18(a,1),12898(a,1,2))]. 12901 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(255,a,11966,a,b,12899,a(flip)),flip(a)]. 12902 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(12899(a,1),10515(a,2,2))]. 12904 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(12901(a,1),11971(a,1,1))]. 12905 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(255,a,5252,a,b,12902,a)]. 12907 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(255,a,4903,a(flip),b,12905,a(flip)),flip(a)]. 12908 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(21(a,1),12907(a,1,2,1,2))]. 12909 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(255,a,8918,a,b,12908,a(flip)),flip(a)]. 12910 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(255,a,5252,a(flip),b,12909,a),flip(a)]. 12911 K(x,(x * y) / z) = K(x,x * (y / z)). [hyper(22,a,8718,a,b,12910,a),flip(a)]. 12912 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(22,a,5252,a(flip),b,12910,a),flip(a)]. 12913 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(6392,a,12911,a)]. 12914 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(12912(a,1),8289(a,1,1,2))]. 12915 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(12913(a,1),7208(a,1,1))]. 12916 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(255,a,8289,a(flip),b,12914,a(flip))]. 12917 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(255,a,8962,a(flip),b,12916,a(flip)),flip(a)]. 12918 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(9930,a,12917,a)]. 12919 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(255,a,7208,a(flip),b,12915,a(flip))]. 12920 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(255,a,12913,a(flip),b,12904,a)]. 12922 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(35(a,2),12920(a,2,2,2))]. 12923 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(12564,a,12922,a)]. 12924 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). [hyper(255,a,7337,a(flip),b,12586,a)]. 12925 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). [para(9253(a,1),12924(a,2,1,2))]. 12926 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). [para(7842(a,1),12925(a,2,1))]. 12927 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). [para(3315(a,1),12926(a,2,1,1))]. 12928 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). [para(6667(a,1),12927(a,2,2))]. 12929 K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(5998(a,1),12466(a,1,1))]. 12930 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(19(a,1),12929(a,1,2,2,1,2))]. 12932 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(9267(a,1),12930(a,1,2))]. 12933 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(12918(a,1),12932(a,1,2))]. 12934 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(7801(a,1),12933(a,1,2)),flip(a)]. 12935 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(255,a,5540,a(flip),b,12934,a)]. 12936 L(x,y / z,x) = L(x,z \ y,x). [hyper(255,a,11187,a(flip),b,12935,a(flip))]. 12938 L(x,(y \ z) \ z,x) = L(x,y,x). [para(70(a,1),12936(a,1,2)),flip(a)]. 12939 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(4038(a,2),12936(a,1,2))]. 12940 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(5427(a,2),12936(a,1,2))]. 12941 L(x,y * K(z,y),x) = L(x,y,x). [para(6145(a,1),12938(a,1,2)),flip(a)]. 12943 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5986(a,1),12941(a,1,2))]. 12944 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(255,a,12943,a(flip),b,12940,a(flip))]. 12946 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(255,a,12686,a(flip),b,12944,a(flip))]. 12948 L(x,R(y,z,u),x) = L(x,y,x). [para(18(a,1),12946(a,2,2))]. 12949 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(29(a,2),12939(a,2,2))]. 12950 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(255,a,12948,a(flip),b,12949,a(flip)),flip(a)]. 12952 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(12950(a,1),12883(a,1,2))]. 12953 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(255,a,5849,a(flip),b,12952,a(flip)),flip(a)]. 12954 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(12828(a,2),12953(a,1,1))]. 12955 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(255,a,10056,a(flip),b,12954,a(flip)),flip(a)]. 12956 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / (x * y). [para(143(a,1),12468(a,2,2))]. 12957 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(x * y,K(z,u)). [hyper(255,a,5242,a,b,12956,a)]. 12959 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(z,K(u,x * y)). [hyper(255,a,8138,a,b,12957,a)]. 12960 K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). [para(12480(a,1),12959(a,1,2))]. 12961 K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). [hyper(9006,a,12960,a)]. 12962 K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(8136,a,12961,a)]. 12963 K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(255,a,7617,a(flip),b,12962,a(flip)),flip(a)]. 12965 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(5388(a,1),12963(a,1,2))]. 12966 a(((x * y) \ x) \ 1,z,((x * y) \ x) \ 1) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(10641(a,1),12633(a,1,1))]. 12968 (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * (K(z,u) * y))) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). [hyper(255,a,12454,a(flip),b,12381,a(flip)),flip(a)]. 12969 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * u)). [para(10134(a,1),12968(a,1,2,2)),flip(a)]. 12970 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(x * u,L(y,u,x))). [para(8154(a,1),12969(a,2,2))]. 12972 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(y,x * u)). [para(12965(a,1),12970(a,2,2))]. 12973 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(8134(a,1),12972(a,2,2))]. 12974 T(x * (K(y,z) * u),K(z,L(y,u,x))) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(11600(a,1),12973(a,1,1,2))]. 12975 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(z,L(y,u,x))) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [hyper(255,a,10792,a,b,12974,a(flip)),flip(a)]. 12976 (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T(x * T(y,K(z,u)),K(u,L(z,y,x))). [para(12026(a,1),12975(a,1,1)),flip(a)]. 12977 (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(6125(a,1),9582(a,1,1,1))]. 12978 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(1990(a,1),12852(a,2,1))]. 12979 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [hyper(255,a,12637,a(flip),b,12978,a)]. 12981 ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [para(10066(a,1),12979(a,1,1))]. 12982 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(255,a,10567,a(flip),b,12981,a(flip)),flip(a)]. 12983 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(255,a,12821,a(flip),b,12982,a(flip))]. 12984 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(12983(a,2),12003(a,1,1))]. 12985 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(12983(a,2),12330(a,1,1))]. 12986 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(5829,a,12984,a)]. 12987 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (1 / u))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(4912(a,1),12986(a,1,1))]. 12988 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(5829,a,12985,a)]. 12989 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(11214(a,1),12987(a,1,2,1))]. 12990 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(255,a,12986,a(flip),b,12989,a(flip))]. 12991 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * ((x * (1 / (1 / L(y,z,u)))) / x)). [para(4865(a,1),10211(a,1,2,1)),flip(a)]. 12992 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * (1 / (1 / ((x * L(y,z,u)) / x)))). [para(2312(a,1),12991(a,2,2,2))]. 12994 (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5127(a,1),10227(a,1,2,1,2,2,2))]. 12995 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4896(a,1),12994(a,1,2,1,2,2))]. 12996 (x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8134(a,1),12995(a,1,2,1))]. 12997 (x \ 1) * (K(y,K(x \ 1,T(z,L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8839(a,1),12996(a,1,2,1,2))]. 12998 (x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7780(a,1),12997(a,1,2,1,2))]. 13000 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8456(a,1),12998(a,1,2,1))]. 13001 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5127(a,1),13000(a,1,2,2,1,2,1,2,2))]. 13002 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4896(a,1),13001(a,1,2,2,1,2,1,2))]. 13003 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8100(a,1),13002(a,1,2,2,1,2))]. 13004 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10233(a,1),13003(a,1,2,2,1,2,2))]. 13005 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7576(a,1),13004(a,1,2,2,1,2,2))]. 13007 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8444(a,1),13005(a,1,2,2,1,2))]. 13008 (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5333(a,1),13007(a,1,2,2,1))]. 13009 (x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(9708(a,2),13008(a,1,2))]. 13010 K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(255,a,9704,a(flip),b,13009,a(flip)),flip(a)]. 13011 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(1601(a,1),13010(a,1,2)),flip(a)]. 13012 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(255,a,8179,a(flip),b,13011,a)]. 13013 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1150(a,1),13012(a,1,1)),flip(a)]. 13014 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(255,a,12161,a,b,13013,a(flip)),flip(a)]. 13015 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1150(a,1),13014(a,1,1))]. 13016 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). [para(13015(a,1),12270(a,1,2))]. 13017 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(12271,a,13016,a),flip(a)]. 13018 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(255,a,8138,a,b,13017,a)]. 13019 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(255,a,11535,a(flip),b,13018,a(flip)),flip(a)]. 13020 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(255,a,8134,a,b,13019,a)]. 13021 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(11536,a,13020,a)]. 13022 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(255,a,12873,a,b,13021,a(flip)),flip(a)]. 13023 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,12010,a(flip),b,13022,a)]. 13024 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(8347,a,13023,a)]. 13025 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(13023(a,1),8347(a,1))]. 13026 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,8130,a,b,13024,a(flip)),flip(a)]. 13027 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). [hyper(255,a,12369,a,b,13026,a(flip)),flip(a)]. 13028 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(9497,a,13027,a)]. 13029 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(255,a,12842,a(flip),b,13028,a(flip)),flip(a)]. 13030 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(9468(a,1),13029(a,1,1)),flip(a)]. 13031 K(x,K(y * z,a(y,z,u))) = 1. [hyper(255,a,11109,a(flip),b,13030,a)]. 13032 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(13025,a,13031,a)]. 13035 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. [para(13032(a,1),9927(a,1,2)),flip(a)]. 13036 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(255,a,17,a(flip),b,13035,a)]. 13038 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(255,a,9565,a,b,13036,a(flip)),flip(a)]. 13039 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(12828(a,2),13038(a,1,1))]. 13040 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(255,a,12766,a,b,13039,a(flip)),flip(a)]. 13041 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(255,a,12768,a(flip),b,13040,a(flip)),flip(a)]. 13043 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(13041(a,1),12955(a,1,2))]. 13044 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(K(x,y),z * y,u). [hyper(255,a,10062,a(flip),b,13043,a(flip)),flip(a)]. 13045 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(5491,a,13044,a)]. 13046 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(255,a,13041,a(flip),b,13045,a)]. 13047 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(255,a,12577,a(flip),b,13045,a)]. 13048 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(255,a,12881,a(flip),b,13046,a(flip)),flip(a)]. 13049 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(255,a,12881,a(flip),b,13047,a(flip))]. 13050 a(K(x * y,z),x,y) = 1. [hyper(255,a,11013,a(flip),b,13049,a)]. 13051 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(13049(a,1),12217(a,1,1,2))]. 13052 a(K(x,y),z,z \ x) = 1. [para(19(a,1),13050(a,1,1,1))]. 13054 L(x \ y,x,K(y,z)) = x \ y. [hyper(38,a,13052,a)]. 13056 (K(x,y) * z) \ T(x,y) = z \ x. [hyper(255,a,5345,a(flip),b,13054,a(flip)),flip(a)]. 13059 T(x,y) / (z \ x) = K(x,y) * z. [para(13056(a,1),70(a,1,2))]. 13062 K(x,y) * (1 / z) = K(x,y) / z. [hyper(255,a,11801,a(flip),b,13059,a(flip))]. 13065 K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). [para(5190(a,2),13062(a,1,2))]. 13066 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(13062(a,1),6837(a,1,1))]. 13068 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(13066(a,1),11130(a,1,1))]. 13069 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(255,a,9965,a(flip),b,13051,a(flip))]. 13070 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(255,a,13049,a(flip),b,13069,a(flip))]. 13071 a(x,x \ 1,K(y,z)) = 1. [hyper(255,a,10530,a(flip),b,13069,a(flip))]. 13072 ((K(x,y) * z) * u) / a(x,z,K(u,y)) = K(x,y) * (z * u). [para(13069(a,1),141(a,1,2))]. 13073 (x * K(y,z)) * a(y,u,K(u \ x,T(z,x))) = (K(y,T(z,x)) * u) * (u \ x). [para(13069(a,1),8292(a,1,2))]. 13075 a(x \ 1,x,K(y,z)) = 1. [hyper(255,a,11238,a(flip),b,13071,a(flip)),flip(a)]. 13076 L(K(x,y),z,z \ 1) = K(x,y). [hyper(38,a,13075,a)]. 13077 K(x,L(y,z,z \ 1)) = K(x,y). [hyper(11622,a,13076,a)]. 13078 (1 / x) * (x * K(y,z)) = K(y,z). [hyper(3048,a,13076,a)]. 13080 K(L(x,y,y \ 1),z) = K(x,z). [hyper(255,a,11636,a(flip),b,13076,a(flip)),flip(a)]. 13081 (1 / x) \ K(y,z) = x * K(y,z). [hyper(80,a,13076,a(flip),b,3043,a)]. 13082 L(K(x,y),1 / z,z) = K(x,y). [para(73(a,1),13076(a,1,3))]. 13088 K(x,y * (z \ 1)) = K(x,y / z). [hyper(255,a,12464,a(flip),b,13077,a(flip)),flip(a)]. 13089 K(x,(1 / y) * z) = K(x,y \ z). [para(3052(a,1),13077(a,1,2))]. 13090 K(x,(y \ 1) \ z) = K(x,y * z). [para(3064(a,1),13077(a,1,2)),flip(a)]. 13092 K((1 / x) * y,z) = K(x \ y,z). [para(3052(a,1),13080(a,1,1))]. 13094 K((x \ 1) \ y,z) = K(x * y,z). [para(3064(a,1),13080(a,1,1)),flip(a)]. 13095 (x \ 1) * K(y,z) = x \ K(y,z). [para(13082(a,1),3208(a,1,2)),flip(a)]. 13096 L(K(x,y),z,u) * K(y,x) = a(y,z,K(x,u)). [hyper(255,a,9943,a,b,13070,a),flip(a)]. 13097 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(255,a,13048,a(flip),b,13070,a)]. 13098 a(x,y,K(y * x,z)) = 1. [hyper(255,a,11008,a(flip),b,13070,a)]. 13099 a(x,y,K(z,K(u,w))) = a(w,y,K(x,K(z,u))). [para(8100(a,1),13070(a,1,3))]. 13100 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). [para(8135(a,1),13070(a,1,3))]. 13101 a(x,y,K(z,K(u,w))) = a(z,y,K(x,K(u,w))). [para(8153(a,1),13070(a,1,3))]. 13102 K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u). [para(13070(a,2),9942(a,1,2))]. 13103 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [para(13070(a,1),12983(a,2,2))]. 13104 L(K(x * y,z),x,y) = K(x * y,z). [hyper(38,a,13098,a)]. 13105 (x \ y) * K(y,z) = x \ T(y,z). [hyper(22,a,11797,a,b,13078,a)]. 13107 (1 / x) \ K(y,z) != x * u | K(y,z) = u. [para(13078(a,1),86(a,1,2)),flip(b)]. 13108 (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. [hyper(255,a,6884,a(flip),b,13081,a)]. 13115 T(x,y * (1 / z)) = x * K(x,y / z). [para(13088(a,1),5319(a,1,2)),flip(a)]. 13118 K(x,T(y * z,y)) = K(x,(z \ 1) \ y). [hyper(255,a,12423,a,b,13090,a),flip(a)]. 13119 (1 / x) \ K(y,z * u) = x * K(y,(z \ 1) \ u). [hyper(80,a,13090,a(flip),b,13078,a)]. 13122 K(x \ (y \ ((1 / x) \ z)),y) = K(y \ z,y). [hyper(255,a,10944,a(flip),b,13092,a(flip))]. 13123 K((x \ 1) * y,z) = K(x \ y,z). [hyper(255,a,5756,a(flip),b,13092,a(flip)),flip(a)]. 13127 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(255,a,10682,a(flip),b,13094,a(flip)),flip(a)]. 13130 x * (y * K(x * y,z)) = T(x * y,z). [para(13094(a,1),6771(a,1,2,2))]. 13131 T(x * K(y * x,z),y) = y \ T(x * y,z). [para(13094(a,1),6916(a,1,1,2))]. 13134 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(13094(a,1),9880(a,1,1,2))]. 13135 (x \ K(y,z)) * K(z,y) = x \ 1. [hyper(6674,a,13095,a)]. 13145 (x \ K(y,z)) \ (x \ 1) = K(z,y). [para(13095(a,1),6670(a,1,1))]. 13150 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(13097(a,1),13048(a,2,2))]. 13152 (x / y) \ T(x,z) = y * K(x,z). [hyper(558,a,13105,a),flip(a)]. 13157 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(255,a,9694,a(flip),b,13123,a)]. 13159 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(13123(a,1),12005(a,1,1))]. 13160 (K(x,y) / z) \ 1 = z * K(y,x). [hyper(558,a,13135,a),flip(a)]. 13163 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [para(6670(a,1),13135(a,1,1)),flip(a)]. 13165 T(x,y) / (z * K(x,y)) = x / z. [para(13152(a,1),70(a,1,2))]. 13167 1 / (x * K(y,z)) = K(z,y) / x. [para(13160(a,1),70(a,1,2))]. 13171 T(x,y) / (z / T(y,x)) = x / (z / y). [para(6718(a,1),13165(a,1,2))]. 13175 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(13167(a,1),7100(a,1,2,1,2,2))]. 13176 T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). [para(13167(a,2),13066(a,1,1))]. 13178 K(x * y,L(z,x,y)) = K(x * y,z). [hyper(11622,a,13104,a)]. 13179 T(x,y * (1 / z)) = T(x,y / z). [hyper(255,a,5252,a,b,13115,a)]. 13180 T(x,y / (1 / z)) = T(x,y * z). [hyper(255,a,4884,a(flip),b,13179,a(flip))]. 13182 K(x * (1 / y),z) = z / T(z,x / y). [para(13179(a,1),5182(a,2,2))]. 13185 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(13118(a,1),12452(a,1))]. 13186 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(11650,a,13130,a)]. 13189 L(x,y,z) = (z * (y * x)) / T(z * y,x). [para(13186(a,1),420(a,1,2)),flip(a)]. 13190 T(x,y / x) / (z / (x \ y)) = x / (z / (y / x)). [para(129(a,1),13171(a,1,2,2))]. 13191 K(x * (1 / y),z) = K(x / y,z). [hyper(255,a,5182,a,b,13182,a)]. 13192 K(x * (y \ 1),z) = K(x / y,z). [hyper(255,a,5752,a(flip),b,13191,a(flip)),flip(a)]. 13193 K(x / (1 / y),z) = K(x * y,z). [hyper(255,a,5749,a(flip),b,13191,a(flip))]. 13194 K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. [para(13192(a,2),8557(a,1))]. 13195 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). [para(13193(a,1),10827(a,2,2))]. 13198 K(x,y / T(z \ 1,z * (x * y))) != u | K(x,z * y) = u. [para(11373(a,2),13185(a,1))]. 13201 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). [para(8235(a,1),13189(a,2,1,2)),flip(a)]. 13202 a(x,y,K(z,u)) * K(z,x) = L(K(z,x),y,u). [hyper(6674,a,13096,a)]. 13203 a(x,y,K(z,K(u,w))) = a(w,y,K(z,K(x,u))). [para(8134(a,1),13099(a,2,3))]. 13204 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(8138(a,1),13100(a,2,3))]. 13205 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),z,K(u,w)). [para(13101(a,1),13102(a,1,2))]. 13206 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). [para(13108(a,1),6889(a,2,1))]. 13207 a(x,y,K(z,K(u,w))) = K(u,K(x,a(w,y,z))). [para(8134(a,1),13150(a,1,3))]. 13208 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). [hyper(255,a,12558,a,b,13163,a(flip)),flip(a)]. 13209 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [para(13070(a,2),13202(a,1,1))]. 13210 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [hyper(11675,a,13204,a)]. 13211 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [hyper(255,a,13100,a(flip),b,13207,a(flip)),flip(a)]. 13212 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [hyper(255,a,8845,a(flip),b,13209,a)]. 13213 L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. [para(13209(a,1),25(a,1))]. 13214 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. [para(13209(a,2),9002(a,1))]. 13215 x * K(y,(z \ 1) \ (z \ u)) = (1 / x) \ K(y,u). [para(19(a,1),13119(a,1,2,2)),flip(a)]. 13216 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(23,a,5148,a(flip),b,13134,a)]. 13217 1 / (K(x,y) * z) = (1 / z) * K(y,x). [hyper(255,a,8528,a(flip),b,13176,a(flip)),flip(a)]. 13218 K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). [para(13217(a,1),13062(a,1,2))]. 13219 (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). [para(13190(a,1),4504(a,1,2)),flip(a)]. 13220 (1 / x) \ K(y,T(z * u,w)) = x * K(y,T((z \ 1) \ u,w)). [para(923(a,1),13215(a,1,2,2)),flip(a)]. 13221 T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). [para(13219(a,2),2860(a,1,1))]. 13222 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(13157(a,1),11516(a,1,1))]. 13223 K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))). [hyper(255,a,11600,a(flip),b,13205,a)]. 13225 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),y * z,K(u,w)). [hyper(255,a,9093,a,b,13223,a)]. 13226 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = K(x,y) * (z * u). [hyper(255,a,9963,a(flip),b,13072,a(flip)),flip(a)]. 13227 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [hyper(255,a,13094,a(flip),b,13127,a(flip))]. 13228 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [hyper(255,a,7241,a(flip),b,13227,a)]. 13229 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [hyper(255,a,12152,a,b,13228,a(flip)),flip(a)]. 13231 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(13229(a,1),10213(a,1,1,1))]. 13232 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(255,a,7243,a(flip),b,13231,a(flip))]. 13234 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(21(a,1),13232(a,1,3,2)),flip(a)]. 13235 K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. [hyper(41,a,13208,a)]. 13236 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [hyper(255,a,12928,a,b,13235,a(flip)),flip(a)]. 13237 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. [para(12557(a,2),13235(a,1,2))]. 13238 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1 \ 1. [para(13237(a,1),1535(a,1,1)),flip(a)]. 13239 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. [hyper(255,a,60,a(flip),b,13238,a)]. 13241 L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). [para(13239(a,1),3308(a,1,1,2))]. 13242 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(8154(a,1),13210(a,1,2))]. 13243 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). [para(113(a,2),13212(a,2,2,2)),flip(a)]. 13244 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u))). [para(8134(a,1),13212(a,1,1,3))]. 13245 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). [para(8443(a,1),13212(a,1,1,3))]. 13247 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(10944(a,1),13216(a,1,2))]. 13250 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(18(a,1),13247(a,1,2,1))]. 13252 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(149(a,1),13250(a,1,1)),flip(a)]. 13256 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(255,a,6618,a(flip),b,13252,a)]. 13257 R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). [para(13256(a,1),70(a,1,2)),flip(a)]. 13258 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [hyper(13107,a,13220,a),flip(a)]. 13259 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(255,a,12287,a,b,13258,a(flip)),flip(a)]. 13260 a(x,y * z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [hyper(22,a,13205,a,b,13225,a),flip(a)]. 13261 a(x,y \ z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [para(19(a,1),13260(a,1,2)),flip(a)]. 13262 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(8138(a,2),13260(a,1,3))]. 13263 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(8138(a,2),13262(a,2,3))]. 13264 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(13234(a,1),10045(a,2,2))]. 13265 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [hyper(255,a,11847,a(flip),b,13242,a(flip)),flip(a)]. 13266 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(9955(a,1),13265(a,1,1))]. 13267 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(8154(a,1),13266(a,2,3))]. 13268 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). [para(6297(a,1),13195(a,2,2))]. 13269 (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. [hyper(255,a,2573,a(flip),b,13268,a)]. 13270 x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). [para(70(a,1),13269(a,1,1))]. 13272 K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(11767(a,1),13236(a,1,1))]. 13273 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(13272(a,1),12361(a,1,2)),flip(a)]. 13274 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [hyper(255,a,13244,a(flip),b,13245,a(flip))]. 13275 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(73(a,1),13274(a,1,2,2,3)),flip(a)]. 13276 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(59(a,1),13259(a,1,2)),flip(a)]. 13277 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(255,a,5842,a(flip),b,13276,a)]. 13278 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(255,a,10992,a(flip),b,13277,a)]. 13280 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(255,a,8772,a(flip),b,13278,a)]. 13281 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(19(a,1),13280(a,1,2,1,1,1)),flip(a)]. 13282 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(9445,a,13281,a),flip(a)]. 13283 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(12449,a,13282,a)]. 13284 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(255,a,9896,a(flip),b,13282,a(flip)),flip(a)]. 13285 K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). [hyper(255,a,11741,a(flip),b,13283,a(flip))]. 13286 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(18(a,1),13284(a,1,2,1,1)),flip(a)]. 13287 K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). [hyper(255,a,9297,a,b,13286,a(flip)),flip(a)]. 13288 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(13285(a,1),7208(a,1,1))]. 13289 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(70(a,1),13270(a,1,2,1)),flip(a)]. 13290 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(5692(a,1),13289(a,1,1))]. 13291 T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [para(13290(a,2),2385(a,1,2))]. 13292 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(13290(a,2),10788(a,2,1,1,2,1)),flip(a)]. 13293 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). [hyper(255,a,12585,a(flip),b,13273,a)]. 13295 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(6125(a,1),13293(a,1,2,1))]. 13296 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). [para(11767(a,1),13295(a,1,2))]. 13297 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [para(13296(a,1),73(a,1,1))]. 13298 (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(13297(a,1),3567(a,1,1,1))]. 13299 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. [para(8134(a,1),13214(a,1,1,3))]. 13300 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(255,a,9298,a(flip),b,13287,a(flip))]. 13301 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(7899,a,13300,a)]. 13303 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(255,a,10623,a(flip),b,13301,a(flip))]. 13305 K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). [para(127(a,1),13303(a,1,2,1,1,2))]. 13306 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(255,a,9448,a(flip),b,13305,a(flip))]. 13307 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(9271,a,13306,a)]. 13308 K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). [hyper(255,a,5817,a(flip),b,13307,a)]. 13309 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(73(a,1),13308(a,2,2,1,1))]. 13310 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(255,a,11968,a(flip),b,13309,a),flip(a)]. 13312 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(13310(a,2),7208(a,1,1))]. 13313 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(255,a,7213,a(flip),b,13312,a(flip)),flip(a)]. 13314 K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(255,a,7208,a(flip),b,13288,a(flip))]. 13315 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(255,a,12919,a(flip),b,13314,a(flip))]. 13316 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(70(a,1),13315(a,2,2,2))]. 13317 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(255,a,13313,a,b,13316,a(flip)),flip(a)]. 13319 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(12565(a,1),13317(a,1,1))]. 13320 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(12564,a,13319,a)]. 13321 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(255,a,12565,a(flip),b,13320,a)]. 13322 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(255,a,12581,a(flip),b,13321,a(flip))]. 13324 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(255,a,12923,a(flip),b,13322,a(flip))]. 13325 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(13324(a,2),5263(a,2,1)),flip(a)]. 13326 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(5264,a,13325,a)]. 13327 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [hyper(255,a,12613,a,b,13326,a),flip(a)]. 13328 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(255,a,10558,a(flip),b,13327,a(flip)),flip(a)]. 13329 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(255,a,12582,a,b,13328,a(flip)),flip(a)]. 13331 L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(3506(a,2),13328(a,2,2,1))]. 13332 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(13069(a,1),13329(a,1,2))]. 13333 (x * K(y,z)) * a(y,u,K(x / u,z)) = (K(y,T(z,x)) * u) * (u \ x). [para(8243(a,1),13073(a,1,2,3))]. 13334 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). [para(13261(a,1),13243(a,2,1))]. 13335 K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). [hyper(255,a,13212,a(flip),b,13334,a)]. 13336 K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). [para(113(a,1),13335(a,1,2,2))]. 13337 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(11361(a,2),13336(a,1,2,2))]. 13338 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(255,a,1180,a(flip),b,13264,a)]. 13339 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(255,a,1878,a(flip),b,13338,a)]. 13340 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(9816(a,1),13339(a,2,1,2))]. 13341 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(255,a,10067,a(flip),b,13340,a)]. 13342 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(11212(a,1),13341(a,1,1))]. 13343 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(255,a,10630,a(flip),b,13342,a(flip)),flip(a)]. 13344 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [hyper(255,a,9608,a(flip),b,13291,a(flip)),flip(a)]. 13345 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. [para(2854(a,2),13344(a,2,1))]. 13346 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (x / ((x \ y) \ 1)) / x. [hyper(255,a,73,a(flip),b,13345,a)]. 13348 (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). [hyper(255,a,13221,a(flip),b,13346,a(flip))]. 13349 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [para(13348(a,2),19(a,1,2))]. 13350 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(6707(a,1),13159(a,1,2))]. 13351 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9839(a,1),13350(a,1,2))]. 13352 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5998(a,1),13222(a,1,2))]. 13353 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(8640(a,1),13352(a,1,2))]. 13354 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(255,a,13343,a(flip),b,13353,a)]. 13355 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(255,a,13351,a(flip),b,13354,a(flip)),flip(a)]. 13356 a(x \ (x * y),z,x \ (x * y)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(13355(a,1),12966(a,1,1))]. 13357 (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(3368(a,1),13206(a,1,2))]. 13359 (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). [para(5655(a,1),13357(a,1,2)),flip(a)]. 13360 (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [hyper(255,a,11542,a(flip),b,13359,a)]. 13362 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [para(13360(a,1),12992(a,2,2))]. 13363 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(13160(a,1),13292(a,1,1,1,2))]. 13364 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(10454(a,1),13363(a,1,1,1,2))]. 13365 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(5864(a,1),13364(a,1,1,1)),flip(a)]. 13366 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(2854(a,2),13365(a,1,2,2,1))]. 13367 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(73(a,1),13366(a,1,2,2))]. 13369 x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. [para(13349(a,1),13367(a,1,2))]. 13370 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [para(13369(a,2),70(a,1,2))]. 13371 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). [para(17(a,1),13241(a,1,1)),flip(a)]. 13372 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). [para(12555(a,1),13371(a,2,3))]. 13373 (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(12555(a,1),13372(a,1,1))]. 13374 (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(12552(a,1),13373(a,1,2))]. 13375 K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)). [hyper(255,a,11507,a(flip),b,13374,a(flip)),flip(a)]. 13376 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(5608(a,1),13375(a,1,2)),flip(a)]. 13377 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(255,a,5608,a(flip),b,13376,a)]. 13380 L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(11936(a,1),13331(a,1,1))]. 13381 a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). [para(18(a,1),13356(a,1,1,1))]. 13382 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). [para(18(a,1),13381(a,1,1,3)),flip(a)]. 13383 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(6595(a,1),13382(a,2,2))]. 13384 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(18(a,1),13383(a,2,2,2))]. 13385 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(5368(a,1),13384(a,2,2))]. 13386 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(255,a,9171,a(flip),b,13385,a)]. 13387 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(6898,a,13386,a)]. 13388 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(18(a,1),13387(a,1,2))]. 13389 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(255,a,5752,a(flip),b,13388,a(flip)),flip(a)]. 13390 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(13194,a,13389,a)]. 13391 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(19(a,1),13390(a,2,1))]. 13392 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(255,a,13122,a(flip),b,13391,a(flip))]. 13393 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(255,a,5755,a(flip),b,13392,a(flip)),flip(a)]. 13394 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(255,a,7341,a(flip),b,13393,a(flip)),flip(a)]. 13396 K(x * ((y * z) \ z),y) = K(y \ x,y). [hyper(255,a,8584,a,b,13394,a(flip)),flip(a)]. 13397 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(19(a,1),13394(a,1,1,2,1)),flip(a)]. 13399 T(x * K(y \ x,y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(13396(a,1),12872(a,1,1,1,2))]. 13400 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(255,a,9695,a,b,13397,a)]. 13401 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(13400(a,1),263(a,1,2))]. 13402 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(255,a,9707,a,b,13401,a(flip)),flip(a)]. 13403 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(263(a,1),13399(a,1,1,1))]. 13405 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(8576(a,1),13403(a,1,1))]. 13406 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(126(a,1),13405(a,1,2,2,2))]. 13407 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(9557(a,1),13406(a,1,2))]. 13408 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(3380(a,1),13407(a,1,2))]. 13409 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [hyper(255,a,11382,a(flip),b,13408,a(flip)),flip(a)]. 13410 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [hyper(255,a,9542,a(flip),b,13409,a(flip)),flip(a)]. 13411 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(156(a,1),13410(a,1,2)),flip(a)]. 13412 K(x,R(x \ 1,x,y) * z) = K(x,x \ z). [hyper(255,a,11152,a,b,13411,a(flip)),flip(a)]. 13415 K(x,y * (z / (x * z))) = K(x,x \ y). [hyper(255,a,11148,a(flip),b,13412,a(flip)),flip(a)]. 13417 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(255,a,10785,a(flip),b,13415,a(flip))]. 13418 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [para(13417(a,1),5472(a,1,2))]. 13419 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(255,a,9706,a,b,13418,a(flip)),flip(a)]. 13420 L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(73(a,1),13380(a,1,1,2,1,2,1))]. 13421 L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [para(10621(a,1),13420(a,1,1))]. 13422 L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [hyper(255,a,10661,a(flip),b,13421,a(flip)),flip(a)]. 13424 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x). [para(73(a,1),13422(a,1,2,2,1)),flip(a)]. 13425 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(255,a,10693,a(flip),b,13424,a)]. 13427 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(255,a,13328,a(flip),b,13425,a)]. 13428 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(19(a,1),13427(a,2,2,1))]. 13429 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(3506(a,1),13428(a,1,2,1))]. 13430 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(y,1 / y) * ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [hyper(255,a,5600,a(flip),b,13362,a)]. 13431 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [hyper(255,a,5130,a(flip),b,13430,a)]. 13432 K(x,1 / (K(1 / y,y) \ (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [para(4865(a,1),13431(a,1,2,2,2))]. 13434 K(x,1 / (K(y,1 / y) * (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [para(5600(a,1),13432(a,1,2,2))]. 13435 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). [para(10686(a,1),13434(a,1,2,2)),flip(a)]. 13436 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). [hyper(255,a,9291,a(flip),b,13435,a)]. 13437 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [para(153(a,1),13436(a,2,2))]. 13438 (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(12585(a,1),13298(a,1,1))]. 13439 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(13297(a,1),13438(a,1,2,2))]. 13440 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(8798(a,1),13439(a,1,2))]. 13441 (x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(10662(a,1),13440(a,1,2))]. 13442 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(13377(a,1),13441(a,1,2)),flip(a)]. 13443 ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(13297(a,1),13442(a,1,1,1,1))]. 13444 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12585(a,1),13443(a,1,1,1))]. 13445 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(13297(a,1),13444(a,1,1)),flip(a)]. 13446 L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(13445(a,1),9292(a,1,1))]. 13447 L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(8888(a,1),13446(a,1,2))]. 13448 L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [hyper(255,a,10665,a(flip),b,13447,a(flip)),flip(a)]. 13449 L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(5225(a,1),13448(a,1,2))]. 13450 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(255,a,11515,a(flip),b,13449,a(flip))]. 13452 (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(13450(a,1),12977(a,1,1))]. 13453 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z). [para(5875(a,1),13452(a,1,1,1)),flip(a)]. 13454 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),x * z). [para(5805(a,1),13453(a,2,2))]. 13455 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),x * z). [para(6403(a,1),13454(a,2,2))]. 13456 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(x \ (x * z),T(x * z,y)). [para(8986(a,1),13455(a,2,2))]. 13457 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). [para(18(a,1),13456(a,2,2,1))]. 13458 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)). [hyper(255,a,6618,a(flip),b,13457,a)]. 13460 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(255,a,9279,a(flip),b,13458,a)]. 13461 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(6125(a,1),13460(a,1,1,1))]. 13462 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(13450(a,1),13461(a,1,1))]. 13463 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5875(a,1),13462(a,1,1,1))]. 13464 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(255,a,4897,a(flip),b,13463,a(flip)),flip(a)]. 13465 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(4563(a,1),13464(a,2,1))]. 13466 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(12801(a,1),13465(a,2,2))]. 13467 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(12801(a,1),13466(a,1,1,1))]. 13468 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(255,a,13332,a(flip),b,13467,a)]. 13469 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(10629(a,1),13468(a,1,1))]. 13470 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(13103(a,2),13469(a,1,1))]. 13471 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(5831,a,13470,a)]. 13472 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(255,a,12988,a(flip),b,13471,a(flip))]. 13473 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(255,a,13429,a(flip),b,13472,a(flip))]. 13474 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(9892(a,1),13473(a,1,2,1))]. 13475 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(255,a,12990,a(flip),b,13474,a(flip)),flip(a)]. 13476 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(5184(a,2),13475(a,1,2,1,2))]. 13477 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(12433(a,1),13476(a,1,2,1)),flip(a)]. 13479 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(80,a,13477,a(flip),b,5252,a(flip))]. 13480 x / T(x,L(y,z,u)) = K(R(y,z,u),x). [para(13477(a,1),5182(a,2,2)),flip(a)]. 13481 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(5325,a,13479,a),flip(a)]. 13483 L(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(255,a,11600,a,b,13481,a),flip(a)]. 13485 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(253(a,1),13481(a,1,2)),flip(a)]. 13486 K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). [para(589(a,1),13481(a,1,2)),flip(a)]. 13487 ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). [para(13481(a,1),463(a,1,2))]. 13488 K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(13481(a,1),9997(a,1,2))]. 13489 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(255,a,12562,a,b,13483,a),flip(a)]. 13492 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [hyper(255,a,7214,a(flip),b,13489,a(flip))]. 13493 L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(255,a,6204,a(flip),b,13489,a(flip))]. 13496 (K(x,T(y,z)) * u) * (u \ z) = z * L(K(x,y),u,u \ z). [para(13489(a,1),8303(a,2,2))]. 13497 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(13489(a,1),13256(a,1,1))]. 13500 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(5289,a,13480,a),flip(a)]. 13501 K(R(x,y,z),u) != w | K(L(x,y,z),u) = w. [para(13480(a,1),5289(a,1))]. 13504 K(x,y) != z | K(L(x,a(u,w,u),v5),y) = z. [para(12695(a,1),13501(a,1,1))]. 13505 K(L(x,a(y,z,y),u),w) = K(a(v5,v6,v5) * x,w). [hyper(13504,a,12716,a(flip))]. 13506 K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u). [hyper(6468,a,13493,a),flip(a)]. 13507 (x \ K(L(y,z,u) \ 1,w)) \ (x \ 1) = K(w,R(y,z,u) \ 1). [para(13506(a,1),13145(a,1,1,2))]. 13508 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(13485(a,1),9102(a,2,2))]. 13509 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). [hyper(255,a,7562,a(flip),b,13492,a(flip)),flip(a)]. 13510 K(a(x,y,x) * z,u) != w | K(z,u) = w. [para(13505(a,1),11654(a,1))]. 13512 K(x * a(y,z,y),u) != w | K(x,u) = w. [para(10017(a,1),13510(a,1,1))]. 13513 K(T(x,y) / y,z) != u | K(y \ x,z) = u. [para(9175(a,1),13512(a,1,1))]. 13514 K(x / T(y,x),z) != u | K(y \ x,z) = u. [para(4456(a,1),13513(a,1,1))]. 13515 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). [para(445(a,1),13486(a,1,2)),flip(a)]. 13516 (x * K(y,z)) * a(y,u,K(x / u,z)) = x * L(K(y,z),u,u \ x). [hyper(255,a,13333,a,b,13496,a(flip)),flip(a)]. 13517 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [para(13178(a,1),13487(a,1,2))]. 13518 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [hyper(6890,a,13517,a)]. 13519 ((x * y) * z) \ ((x * y) * R(z,x,y)) = (z * (x * y)) \ ((z * x) * y). [para(13518(a,1),11527(a,1,2))]. 13520 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [hyper(6796,a,13507,a),flip(a)]. 13521 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(685(a,1),13520(a,1,2,1)),flip(a)]. 13522 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(6494,a,13497,a)]. 13523 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(13193(a,1),13508(a,1,2))]. 13524 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(y,L(z,u,x))) = u * T(x,K(y,z) * u). [hyper(255,a,11679,a,b,13522,a(flip)),flip(a)]. 13525 a(x \ y,x,K(z,u)) = a(u,x,K(y / x,z)). [hyper(9961,a,13516,a)]. 13526 a(x,y,K((y * z) / y,u)) = a(z,y,K(u,x)). [para(18(a,1),13525(a,1,1)),flip(a)]. 13528 a(x,y,K(z,T(u,y))) = a(z,y,K(u,x)). [para(8253(a,1),13526(a,1,3))]. 13529 (x * (y * z)) \ ((x * y) * z) = a(x * K(y * z,x),y,z). [hyper(7365,a,13519,a),flip(a)]. 13530 a(x * K(y * z,x),y,z) = a(x,y,z). [hyper(636,a,13529,a),flip(a)]. 13531 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [para(13530(a,1),7364(a,1,2))]. 13532 ((K(x,y) * z) * u) * a(u,z,K(x,T(y,z))) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(7559(a,1),13531(a,1,1,1))]. 13533 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [hyper(255,a,7550,a(flip),b,13521,a)]. 13534 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [hyper(255,a,10008,a(flip),b,13533,a)]. 13535 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [hyper(6897,a,13534,a),flip(a)]. 13536 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [hyper(255,a,12677,a(flip),b,13535,a)]. 13537 K(x,T(y / ((z / (z * u)) * (z * u)),y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(6246(a,1),13535(a,2,2,1))]. 13538 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(12026(a,1),13524(a,1,1))]. 13539 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(8193(a,1),13538(a,1,1,2))]. 13540 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(80,a,12976,a,b,13539,a(flip))]. 13541 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(8376(a,2),13540(a,1,2,2))]. 13542 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(9130(a,2),13541(a,1,2))]. 13543 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(8188(a,2),13542(a,1,2,2,2))]. 13544 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(19(a,1),13536(a,1,2,1,2))]. 13545 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(13528(a,1),13532(a,1,2))]. 13546 (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). [hyper(255,a,13226,a(flip),b,13545,a(flip))]. 13547 (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). [para(7559(a,1),13546(a,1,1))]. 13549 (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). [para(10903(a,1),13547(a,1,2))]. 13550 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(422,a,13549,a),flip(a)]. 13553 L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). [para(13550(a,1),122(a,1,1))]. 13554 (x * y) * K(z,u) != w * (y * K(z,u)) | L(x,y,K(z,u)) = w. [para(13553(a,1),25(a,1))]. 13555 x \ (((y * T(x,K(z,u))) * K(z,u)) * ((K(z,u) * (y * T(x,K(z,w)))) \ (y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(7545(a,2),13543(a,1,2,2))]. 13556 K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(21(a,1),13537(a,1,2,1,2))]. 13557 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(6061(a,2),13555(a,1,2))]. 13558 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(8193(a,1),13557(a,1,2,1,2))]. 13559 x \ T(y * T(x,K(z,u)),K(z,z * u)) = T(y,K(z * u,z) * x). [para(8364(a,1),13557(a,1,2,1,2))]. 13560 x \ T(y * T(x,K(z,u)),K(z,u \ 1)) = T(y,K(u \ 1,z) * x). [para(8505(a,1),13557(a,1,2,1,2))]. 13561 K(x \ T(y * T(x * K(z,u),K(w,v5)),K(w,v5)),u) = K(T(y,K(v5,w) * (x * K(z,u))),u). [para(13557(a,1),8891(a,1,1)),flip(a)]. 13562 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [para(8193(a,1),13558(a,1,2))]. 13563 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(255,a,13557,a(flip),b,13562,a(flip))]. 13564 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). [para(13562(a,1),19(a,1,2)),flip(a)]. 13565 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(80,a,13563,a,b,5252,a(flip))]. 13566 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [para(5272(a,1),13563(a,1,2)),flip(a)]. 13567 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(5325,a,13565,a)]. 13568 K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. [para(13565(a,1),5325(a,1))]. 13569 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(5560(a,1),13567(a,1,2)),flip(a)]. 13570 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(7662(a,1),13567(a,1,2)),flip(a)]. 13571 T(x,((y * z) / y) * u) = T(x,T(z,y) * u). [para(5855(a,1),13566(a,1,2))]. 13572 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(5537(a,2),13569(a,1,2))]. 13573 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(167(a,1),13571(a,1,2,1)),flip(a)]. 13574 T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). [hyper(12458,a,13573,a),flip(a)]. 13575 K(x,T(y,z) \ T(u,(z * y) / z)) = K(x,u / ((z * y) / z)). [hyper(255,a,12679,a(flip),b,13572,a(flip))]. 13576 K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). [para(4511(a,1),13572(a,1,2,1))]. 13577 T(x,y * T(T(z,u),u)) = T(x,y * z). [hyper(12442,a,13574,a),flip(a)]. 13578 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(166(a,1),13577(a,1,2,2,1)),flip(a)]. 13579 K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). [para(13578(a,1),5182(a,2,2))]. 13580 K(x * ((y * z) / y),u) = K(x * T(z,y),u). [hyper(255,a,5182,a,b,13579,a)]. 13581 K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). [para(1644(a,1),13580(a,2,1))]. 13582 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [hyper(255,a,12857,a(flip),b,13576,a(flip))]. 13584 K(x,T(y,z) \ T(u,T(y,z))) = K(x,u / ((z * y) / z)). [para(8482(a,1),13575(a,1,2,2))]. 13585 K(x,y / ((z * u) / z)) = K(x,y / T(u,z)). [hyper(255,a,12679,a(flip),b,13584,a(flip))]. 13588 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z * u,z) * x). [para(8364(a,1),13559(a,1,2))]. 13589 T(x,K(y * z,y) * u) = T(x,K(z,y) * u). [hyper(255,a,13557,a(flip),b,13588,a(flip))]. 13590 T(x,K(y,y * z) * u) = T(x,K(z,y) * u). [hyper(255,a,13563,a,b,13589,a(flip)),flip(a)]. 13591 K(x,K(y * z,y) * u) = x \ T(x,K(z,y) * u). [hyper(80,a,13589,a(flip),b,5252,a(flip)),flip(a)]. 13592 T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). [hyper(12457,a,13590,a),flip(a)]. 13593 K(x,K(y * z,y) * u) = K(x,K(z,y) * u). [hyper(255,a,5186,a,b,13591,a)]. 13594 K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). [para(19(a,1),13593(a,1,2,1,1)),flip(a)]. 13595 T(x,y * K(z,z * u)) = T(x,y * K(u,z)). [hyper(12456,a,13592,a),flip(a)]. 13596 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u \ 1,z) * x). [para(8505(a,1),13560(a,1,2))]. 13597 T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). [hyper(255,a,13557,a(flip),b,13596,a(flip))]. 13598 K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). [hyper(80,a,13597,a(flip),b,5252,a(flip)),flip(a)]. 13599 T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). [para(8202(a,1),13597(a,1,2)),flip(a)]. 13600 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [hyper(255,a,5186,a,b,13598,a)]. 13601 K(x,K(y \ 1,z) * u) != w | K(x,K(y,z) * u) = w. [para(13598(a,2),5325(a,1))]. 13602 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [hyper(13568,a,13600,a)]. 13603 K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). [para(5525(a,1),13600(a,1,2)),flip(a)]. 13604 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(13600(a,1),7161(a,1,1))]. 13605 K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). [para(6580(a,1),13602(a,1,2,1)),flip(a)]. 13606 K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,y \ 1)). [para(8509(a,1),13602(a,1,2)),flip(a)]. 13607 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). [para(13602(a,1),7162(a,1,1))]. 13608 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [hyper(255,a,13594,a(flip),b,13605,a(flip))]. 13609 K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). [hyper(255,a,13569,a(flip),b,13608,a(flip)),flip(a)]. 13610 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(7662(a,1),13608(a,1,2))]. 13611 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [para(5560(a,1),13609(a,2,2))]. 13612 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). [para(5296(a,1),13603(a,1,2,2)),flip(a)]. 13613 K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). [para(8202(a,1),13606(a,1,2)),flip(a)]. 13614 K(x * K(y,z \ 1),u) = 1 / K(u,x * K(z,y)). [para(13613(a,1),5394(a,1,2)),flip(a)]. 13615 K(x * K(y,z \ 1),u) = K(x * K(z,y),u). [hyper(255,a,5394,a(flip),b,13614,a)]. 13616 K(((x * (y \ z)) / x) * y,u) = K(z * K(z \ y,x),T(u,y)). [hyper(255,a,12415,a,b,13615,a(flip)),flip(a)]. 13617 T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)). [para(8506(a,1),13599(a,1,2,2))]. 13618 T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). [para(127(a,1),13617(a,1,2)),flip(a)]. 13619 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [hyper(255,a,13570,a(flip),b,13610,a)]. 13620 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(10223(a,1),13619(a,1,2))]. 13621 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(255,a,13556,a(flip),b,13620,a(flip)),flip(a)]. 13622 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (((u \ 1) \ 1) \ z))). [para(6428(a,1),13620(a,1,2,2,2)),flip(a)]. 13623 K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). [hyper(7307,a,13604,a),flip(a)]. 13624 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(6431(a,1),13623(a,1,2,1))]. 13625 K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). [hyper(7307,a,13607,a),flip(a)]. 13626 K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). [para(7099(a,1),13625(a,1,2,1))]. 13627 K(x,(y * K(z \ 1,u)) \ K(u,K(y * K(u,z),z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(8145(a,1),13626(a,2,2))]. 13628 K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). [para(2142(a,1),13581(a,1,1))]. 13629 K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). [para(5238(a,1),13628(a,1,1,2)),flip(a)]. 13630 K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). [para(5187(a,1),13629(a,1,1,2))]. 13631 (x \ K(y \ K(z,u \ 1),w)) \ (x \ 1) = K(w,y \ K(u \ 1,z)). [para(13630(a,1),13145(a,1,1,2))]. 13632 K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). [hyper(6796,a,13631,a),flip(a)]. 13633 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(255,a,13624,a(flip),b,13621,a(flip)),flip(a)]. 13634 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(255,a,12856,a(flip),b,13633,a(flip)),flip(a)]. 13635 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(5252(a,2),13634(a,1,2,1))]. 13636 K(x,T(y,z) \ ((y * T(z,y)) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(4446(a,1),13635(a,1,2,1))]. 13637 K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(127(a,1),13636(a,1,2,2,1))]. 13638 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(127(a,1),13637(a,1,2,2,2,2))]. 13639 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(8479(a,1),13638(a,2,2))]. 13641 K(x \ T(y * T(x * K(z,u),K(w,v5)),K(w,v5)),u) = K(y,T(u,K(v5,w) * x)). [hyper(255,a,9594,a(flip),b,13561,a)]. 13643 K(x \ T(y * T(x * K(z,u),K(w,v5)),K(w,v5)),u) = K(y,T(u,K(w,v5) * x)). [para(13563(a,1),13641(a,2,2))]. 13644 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). [para(8269(a,1),13612(a,2,2,1))]. 13645 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). [para(8235(a,1),13644(a,2,2))]. 13646 K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). [para(5296(a,1),13645(a,1,2,2,1,2))]. 13647 K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). [para(5521(a,1),13646(a,1,2))]. 13648 K(x * K(y \ 1,z),u) = 1 / K(u,x * K(y,z)). [para(13647(a,1),5394(a,1,2)),flip(a)]. 13649 K(x * K(y \ 1,z),u) = K(x * K(y,z),u). [hyper(255,a,5394,a(flip),b,13648,a)]. 13650 K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). [hyper(255,a,12418,a(flip),b,13649,a(flip))]. 13651 K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). [hyper(255,a,13616,a,b,13650,a(flip)),flip(a)]. 13652 K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). [hyper(12824,a,13651,a)]. 13653 K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). [hyper(255,a,12477,a(flip),b,13652,a),flip(a)]. 13654 K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). [para(5031(a,1),13653(a,1,1))]. 13655 K(((x * y) / x) / z,u) = K(T(y,x) / z,u). [hyper(8559,a,13654,a),flip(a)]. 13656 K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). [hyper(255,a,10087,a,b,13655,a(flip)),flip(a)]. 13657 K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). [hyper(13513,a,13656,a),flip(a)]. 13658 K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). [hyper(13514,a,13657,a),flip(a)]. 13659 K(x \ T(T(y,z),z),u) = K(x \ y,u). [para(5266(a,1),13658(a,1,1,2)),flip(a)]. 13660 K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). [para(13659(a,1),5394(a,1,2)),flip(a)]. 13661 K(x,y \ T(T(z,u),u)) = K(x,y \ z). [hyper(255,a,5394,a(flip),b,13660,a)]. 13662 K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). [para(4490(a,1),13661(a,1,2,2,1))]. 13663 K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). [para(5216(a,1),13661(a,1,2,2,1)),flip(a)]. 13664 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). [hyper(255,a,7003,a,b,13663,a(flip)),flip(a)]. 13665 K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). [para(3309(a,1),13664(a,1,2,2))]. 13666 K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). [hyper(255,a,12683,a(flip),b,13662,a(flip)),flip(a)]. 13667 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(4452(a,1),13666(a,1,2,2)),flip(a)]. 13668 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [hyper(255,a,13639,a(flip),b,13667,a(flip))]. 13669 K(x,T(y * z,(y * z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(6964(a,1),13668(a,1,2,2,2))]. 13670 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(10242(a,1),13622(a,2,2))]. 13671 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(8483(a,1),13670(a,1,2))]. 13672 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(9858(a,1),13671(a,1,2)),flip(a)]. 13673 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). [hyper(255,a,8535,a(flip),b,13672,a)]. 13675 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [hyper(255,a,13544,a(flip),b,13673,a(flip)),flip(a)]. 13676 K(x,T(y,T(y,z) / z) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(4489(a,1),13675(a,1,2,2,1))]. 13677 K(x,(y * K(z \ 1,u)) \ K(u,K(y,z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(8007(a,1),13627(a,1,2,2,2))]. 13679 K(x,(y * K(z \ 1,u)) \ K(y,K(z,u))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(8138(a,2),13677(a,1,2,2))]. 13680 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). [para(8457(a,1),13679(a,1,2)),flip(a)]. 13681 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(255,a,6609,a(flip),b,13680,a)]. 13682 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(255,a,12857,a(flip),b,13681,a(flip)),flip(a)]. 13683 K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). [hyper(6899,a,13682,a),flip(a)]. 13687 K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). [hyper(255,a,13632,a,b,13683,a(flip)),flip(a)]. 13688 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). [hyper(255,a,13665,a(flip),b,13687,a(flip))]. 13689 K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). [hyper(255,a,13664,a(flip),b,13688,a(flip))]. 13690 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(70(a,1),13689(a,1,2,2,2)),flip(a)]. 13691 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(7631(a,1),13690(a,1,2,2)),flip(a)]. 13692 K(x,T(y,z \ y) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(8804(a,1),13676(a,1,2,1))]. 13693 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(4489(a,1),13692(a,1,2,2,2,2))]. 13695 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [hyper(255,a,13611,a(flip),b,13693,a(flip)),flip(a)]. 13696 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(12646(a,1),13695(a,2,2))]. 13697 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(255,a,13667,a(flip),b,13696,a(flip)),flip(a)]. 13698 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(255,a,12675,a(flip),b,13669,a(flip)),flip(a)]. 13699 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(13618(a,1),13698(a,1,2,2))]. 13700 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). [para(5842(a,1),13699(a,1,2,2,2,2))]. 13701 K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(13595(a,1),13700(a,1,2,2))]. 13702 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(5252(a,2),13701(a,1,2,2,2))]. 13703 K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(12680,a,13702,a)]. 13704 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [hyper(255,a,13582,a(flip),b,13703,a(flip))]. 13705 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(8576(a,1),13704(a,1,2))]. 13706 K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))). [hyper(8581,a,13705,a),flip(a)]. 13707 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T((z * u) \ z,z * u))). [para(5523(a,1),13706(a,1,2,1)),flip(a)]. 13708 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z / (z * u))). [para(8481(a,1),13707(a,2,2,2))]. 13709 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z \ (u \ z))). [para(8880(a,1),13708(a,2,2,2))]. 13710 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T(u,z))). [hyper(255,a,13691,a(flip),b,13709,a)]. 13711 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z * u,u)) \ T(y,T(u,z))). [hyper(255,a,13626,a(flip),b,13710,a)]. 13712 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z,u)) \ T(y,T(u,z))). [hyper(255,a,12856,a(flip),b,13711,a)]. 13713 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(z,u) \ T(y,T(u,z))). [para(5252(a,2),13712(a,2,2,1))]. 13714 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [hyper(255,a,13697,a(flip),b,13713,a)]. 13715 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(19(a,1),13714(a,1,2,1,2))]. 13716 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(7479(a,1),13715(a,1,2))]. 13717 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(12435(a,1),13716(a,1,2)),flip(a)]. 13718 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(20(a,1),13717(a,1,2,1)),flip(a)]. 13719 K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). [para(73(a,1),13717(a,1,2,2)),flip(a)]. 13720 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(20(a,1),13718(a,1,2,1)),flip(a)]. 13721 K(x,T(y,z * (u \ z))) = K(x,T(y,T(u,z))). [hyper(8581,a,13720,a),flip(a)]. 13725 K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). [para(12687(a,1),13719(a,1,2))]. 13726 K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). [hyper(255,a,13721,a(flip),b,13725,a(flip)),flip(a)]. 13727 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). [para(13726(a,1),12016(a,1,1))]. 13728 K(x,K(y,T(z,u))) = K(z,K(x,y)). [hyper(11277,a,13727,a)]. 13729 K(T(x,y),K(z,u)) = K(x,K(z,u)). [hyper(8156,a,13728,a)]. 13731 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(255,a,8138,a,b,13728,a)]. 13732 K(x,K(y,T(z,u))) = K(x,K(z,y)). [hyper(255,a,8134,a,b,13728,a)]. 13734 K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. [para(13728(a,2),8176(a,1))]. 13737 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(13729(a,1),7525(a,1,2)),flip(a)]. 13741 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,1 / L(1 / y,u,w))). [hyper(255,a,8381,a(flip),b,13731,a(flip)),flip(a)]. 13742 K(x,K(y,z / u)) = K(x,K(y,u \ z)). [para(129(a,1),13731(a,1,2,2)),flip(a)]. 13744 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). [para(8320(a,1),13731(a,1,2))]. 13745 K(x,K(y,z * u)) = K(x,K(y,u * z)). [para(12422(a,1),13731(a,1,2))]. 13747 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [para(7552(a,1),13732(a,1,2))]. 13748 K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). [para(12427(a,2),13732(a,1,2))]. 13749 (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. [hyper(8816,a,13737,a),flip(a)]. 13750 T(x,K(y,K(z,u))) = x. [hyper(8210,a,13737,a)]. 13751 K(x,K(y,L(z,u,w))) * (w * u) = w * (u * K(x,K(y,z))). [hyper(255,a,8848,a(flip),b,13737,a)]. 13752 K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). [hyper(255,a,8124,a(flip),b,13737,a)]. 13756 T(x,K(y,z) * u) = T(x,u * K(y,z)). [hyper(12441,a,13750,a)]. 13757 K(x,T(y,K(z,u))) = K(x,y). [hyper(9266,a,13750,a)]. 13758 K(x,K(y,K(z,u))) = 1. [hyper(41,a,13750,a)]. 13761 x \ T(y * x,K(z,K(u,w))) = T(y,K(K(u,w),z) * x). [para(13750(a,1),13557(a,1,2,1,2))]. 13762 K(K(x,y),K(z,u)) = 1. [hyper(8340,a,13758,a)]. 13764 T(K(x,y),K(z,u)) = K(x,y). [hyper(42,a,13762,a)]. 13766 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(12452,a,13757,a),flip(a)]. 13768 K(x,K(y,z) / u) = K(x,u \ K(y,z)). [hyper(9342,a,13757,a)]. 13784 K(x,T(y,z / u)) = K(x,T(y,u \ z)). [para(9277(a,1),13757(a,1,2)),flip(a)]. 13785 K(x,T(y,K(z,u))) != w | K(x,y) = w. [para(13757(a,1),9339(a,1))]. 13787 K(x,T(y,z * u)) = K(x,T(y,u * z)). [para(12440(a,1),13757(a,1,2))]. 13799 T(K(x,y),T(z,u)) = T(K(x,y),z). [para(13764(a,1),7855(a,1,1)),flip(a)]. 13808 T(K(x,y),T(z,u)) = T(K(x,y),T(z,w)). [hyper(255,a,13799,a,b,13799,a)]. 13816 K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. [para(12440(a,1),13785(a,1,2))]. 13817 K(x,K(y,z / u)) = K(x,K(y,z \ u)). [hyper(8561,a,13742,a)]. 13818 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). [hyper(255,a,9324,a,b,13742,a),flip(a)]. 13819 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,u / (z * y))). [hyper(255,a,8957,a,b,13742,a),flip(a)]. 13820 K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). [para(13089(a,2),13742(a,2,2)),flip(a)]. 13821 K(x,K(y,z * u)) = K(y,K(x,u * z)). [hyper(8136,a,13745,a)]. 13822 K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. [para(13745(a,1),8136(a,1))]. 13823 K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. [para(13747(a,2),8183(a,1))]. 13824 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). [hyper(255,a,10890,a(flip),b,13748,a(flip)),flip(a)]. 13825 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,y * K(z,u)). [para(13756(a,1),13564(a,2,2))]. 13826 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y,z))). [para(11609(a,1),13766(a,2,2))]. 13827 K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). [hyper(255,a,13515,a,b,13768,a),flip(a)]. 13828 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). [hyper(255,a,13509,a,b,13784,a),flip(a)]. 13831 (x * y) * K(z,T(u,y * x)) = K(z,u) * (x * y). [para(13787(a,1),7559(a,1,2))]. 13844 T(K(x,y) * z,u) * T(K(y,x),T(w,v5)) = K(y,T(x,w)) * T(z * K(x,y),u). [para(13808(a,1),11953(a,1,2))]. 13845 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(33(a,2),13817(a,2,2,2))]. 13846 K(x,K(y,z \ u)) != w | K(x,K(y,u / z)) = w. [para(13817(a,1),8561(a,1))]. 13847 K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. [para(13821(a,1),8136(a,1))]. 13848 K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. [para(7542(a,2),13734(a,1,2))]. 13849 K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. [para(12405(a,1),13734(a,1,2))]. 13853 K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. [para(13180(a,2),13816(a,1,2))]. 13855 K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. [para(13089(a,2),13846(a,1,2))]. 13856 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. [para(122(a,1),13847(a,1,2,2))]. 13860 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [para(7539(a,2),13752(a,2,2))]. 13861 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(13860(a,2),24(a,1))]. 13862 K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. [para(13745(a,1),13855(a,1))]. 13863 T(x,K(K(y,z),u) * w) = w \ (x * w). [para(13750(a,1),13761(a,1,2)),flip(a)]. 13864 T(x,K(K(y,z),u) * w) = T(x,w). [hyper(255,a,37,a,b,13863,a)]. 13866 T(x,y * K(z,K(u,w))) = T(x,y). [para(8276(a,1),13864(a,1,2)),flip(a)]. 13868 K(x * K(y,K(z,u)),w) = w / T(w,x). [para(13866(a,1),5182(a,2,2))]. 13870 K(x * K(y,K(z,u)),w) = K(x,w). [hyper(255,a,5182,a,b,13868,a)]. 13871 K(x * K(y,K(z,u)),w) != v5 | K(x,w) = v5. [para(13868(a,2),5289(a,1))]. 13872 K(x \ T(y,K(z,u)),w) = K(x \ y,w). [para(1560(a,1),13870(a,1,1))]. 13873 K(x,y) * (x * K(z,K(u,w))) = T(x * K(z,K(u,w)),y). [para(13870(a,1),5263(a,2,1)),flip(a)]. 13875 K(x \ (y * T(x * K(z,u),K(w,v5))),u) = K(y,T(u,K(w,v5) * x)). [hyper(255,a,13643,a(flip),b,13872,a(flip))]. 13876 T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). [para(13825(a,1),8198(a,1,1))]. 13878 K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). [hyper(255,a,5818,a(flip),b,13827,a)]. 13880 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [hyper(255,a,8495,a(flip),b,13878,a(flip)),flip(a)]. 13881 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [hyper(5634,a,13873,a),flip(a)]. 13882 T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). [para(13881(a,2),8166(a,1,1))]. 13883 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [hyper(255,a,13742,a,b,13744,a)]. 13884 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y \ 1,z))). [hyper(13601,a,13826,a)]. 13885 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [para(20(a,1),13883(a,1,2,2,1)),flip(a)]. 13886 K(x,K(y,T(L(z,u / z,w),u / z))) = K(x,K(y,(w * u) / (w * (u / z)))). [para(8321(a,2),13883(a,1,2))]. 13888 K(x,T(L(K(y,z),u,w),v5)) = K(x,1 / L(K(y,z),u,w)). [para(6482(a,1),13741(a,2,2))]. 13889 K(x,T(L(K(y,z),u,w),v5)) = K(x,L(K(y,z),u,w)). [hyper(255,a,8974,a(flip),b,13888,a)]. 13890 K(x,T(L(K(y,z),u,w),v5)) != v6 | K(x,K(z,L(y,u,w))) = v6. [para(13889(a,2),9007(a,1))]. 13891 T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). [para(13749(a,1),13882(a,1,1,1))]. 13892 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [hyper(255,a,8470,a(flip),b,13819,a)]. 13893 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [hyper(13823,a,13892,a)]. 13894 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(37(a,2),13893(a,1,2,1,1))]. 13895 K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). [hyper(255,a,13826,a(flip),b,13884,a(flip))]. 13896 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). [hyper(255,a,7918,a,b,13895,a(flip)),flip(a)]. 13897 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). [para(5252(a,2),13896(a,2,2,2))]. 13898 K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). [hyper(255,a,13088,a(flip),b,13897,a(flip)),flip(a)]. 13899 K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). [hyper(255,a,13585,a(flip),b,13898,a(flip)),flip(a)]. 13900 K(x,y * T(z,z * (x * y))) = K(x,z * y). [hyper(13198,a,13899,a),flip(a)]. 13901 K(x,y * T(z,x * y)) = K(x,z * y). [hyper(12661,a,13900,a)]. 13902 T(x,y * T(z,x * y)) = K(x,z * y) * x. [para(13901(a,1),5263(a,2,1))]. 13903 T(x,y * T(z,x * y)) = T(x,z * y). [hyper(255,a,5263,a,b,13902,a)]. 13904 T(x,y * K(z,u)) \ T(y * T(T(x,y * K(z,u)),K(z,u)),K(u,z)) = T(y,x * K(z,u)). [hyper(255,a,13558,a,b,13903,a(flip)),flip(a)]. 13906 K(x * K(y * K(z,u),K(w,v5)),T(u,y)) = K(x,T(u,K(w,v5) * y)). [hyper(255,a,10649,a(flip),b,13875,a(flip)),flip(a)]. 13907 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(13871,a,13906,a),flip(a)]. 13909 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [hyper(13816,a,13907,a)]. 13915 (x * K(y,z)) * K(u,T(w,x)) = K(u,w) * (x * K(y,z)). [para(13907(a,1),13831(a,1,2))]. 13919 K(x,T(y,z / K(u,w))) = K(x,T(y,z)). [para(21(a,1),13909(a,1,2,2)),flip(a)]. 13921 K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [para(6878(a,1),13909(a,1,2,2))]. 13924 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(13909(a,1),8235(a,1,1))]. 13928 K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). [hyper(8570,a,13919,a)]. 13929 K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). [para(13928(a,1),8235(a,1,1))]. 13930 K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [hyper(8351,a,13921,a)]. 13932 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(3709(a,1),13915(a,1,2)),flip(a)]. 13933 K(x,K(y,z)) * (z * K(u,w)) = T(z * K(u,w),K(x,y)). [hyper(172,a,13924,a(flip),b,10111,a),flip(a)]. 13935 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [hyper(255,a,13065,a(flip),b,13929,a(flip)),flip(a)]. 13936 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [hyper(255,a,13068,a,b,13935,a(flip)),flip(a)]. 13937 T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z). [hyper(8164,a,13933,a),flip(a)]. 13938 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [hyper(23,a,8151,a,b,13933,a),flip(a)]. 13940 K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). [hyper(13847,a,13938,a)]. 13942 K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). [hyper(8562,a,13938,a)]. 13943 K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). [para(6660(a,1),13938(a,1,2,2)),flip(a)]. 13944 K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). [para(6874(a,2),13938(a,1,2,2))]. 13945 K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). [para(6878(a,1),13938(a,1,2,2))]. 13946 K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). [para(6879(a,2),13938(a,1,2,2))]. 13947 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). [para(7231(a,1),13938(a,1,2,2)),flip(a)]. 13948 K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). [para(10779(a,1),13938(a,1,2,2))]. 13949 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(5737(a,1),13940(a,1,2,2)),flip(a)]. 13951 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [para(10169(a,1),13940(a,1,2,2)),flip(a)]. 13952 K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). [hyper(255,a,8154,a,b,13942,a)]. 13954 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(9004,a,13952,a)]. 13955 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [hyper(8512,a,13952,a),flip(a)]. 13956 K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). [hyper(8183,a,13952,a)]. 13957 K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. [para(13952(a,1),8512(a,1))]. 13958 K(x,K(y,L(z * K(u,w),v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(8858,a,13955,a)]. 13959 K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). [para(1574(a,1),13955(a,1,2,1))]. 13962 K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). [hyper(255,a,13955,a,b,13956,a)]. 13963 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [hyper(255,a,13894,a(flip),b,13959,a(flip))]. 13965 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). [hyper(6562,a,13937,a),flip(a)]. 13969 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(13945(a,2),8845(a,1,1))]. 13970 K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). [para(1574(a,1),13947(a,1,2,2,1))]. 13971 K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). [para(6957(a,1),13947(a,1,2,2,1))]. 13972 K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. [para(13947(a,2),13847(a,1))]. 13973 K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). [hyper(8561,a,13948,a)]. 13974 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). [hyper(13855,a,13951,a)]. 13975 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,v5 * z)). [hyper(255,a,13745,a,b,13951,a)]. 13977 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(K(v5,v6) / y,y,v7))). [hyper(255,a,9102,a(flip),b,13962,a(flip))]. 13981 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [hyper(255,a,8453,a,b,13973,a)]. 13982 K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. [para(13973(a,1),8561(a,1))]. 13983 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. [para(13973(a,2),8561(a,1))]. 13984 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [para(5272(a,1),13975(a,1,2,2,2))]. 13985 K(x,K(y,z * (K(u,w) * v5))) != v6 | K(x,K(y,z * v5)) = v6. [para(13975(a,2),13847(a,1))]. 13986 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [hyper(255,a,13885,a(flip),b,13981,a)]. 13987 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = K(x,K(y,a(w,z,z \ u))). [para(877(a,1),13981(a,1,2,2)),flip(a)]. 13988 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. [para(13981(a,1),8561(a,1))]. 13989 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). [hyper(255,a,8847,a,b,13954,a)]. 13991 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [para(7525(a,1),13958(a,1,2,2,1))]. 13992 K(x,K(y,((z / u) / w) * v5)) = K(x,K(y,((u \ z) / w) * v5)). [para(129(a,1),13970(a,1,2,2,1,1)),flip(a)]. 13993 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(188(a,1),13970(a,1,2,2,1,1)),flip(a)]. 13994 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). [hyper(255,a,13820,a(flip),b,13974,a)]. 13995 K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). [hyper(8561,a,13994,a)]. 13996 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(6027(a,1),13994(a,1,2,2,1))]. 13997 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). [para(7209(a,1),13995(a,1,2,2,2))]. 13998 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [para(8276(a,1),13995(a,1,2,2,2)),flip(a)]. 13999 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(13998(a,1),13860(a,1,1))]. 14000 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [hyper(255,a,13973,a(flip),b,13996,a(flip)),flip(a)]. 14001 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(129(a,1),14000(a,1,2,2,2,1)),flip(a)]. 14003 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [hyper(255,a,13336,a(flip),b,13963,a(flip)),flip(a)]. 14004 K(x,K(T(R(y,K(z,u),w),K(z,u)),L(v5,K(z,u) * w,v6))) = K(x,K(v5,(((K(z,u) * y) * w) * v6) / (v6 * (K(z,u) * w)))). [para(8211(a,1),13963(a,1,2,1))]. 14005 K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. [para(6663(a,1),13972(a,1,2,2))]. 14006 K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. [para(6718(a,1),13972(a,1,2,2,1))]. 14007 K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. [para(13745(a,1),13972(a,1))]. 14008 K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. [para(5175(a,1),13985(a,1,2,2,2))]. 14010 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * z) * w)) = v5. [para(11348(a,1),13985(a,1,2,2))]. 14011 K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. [para(8924(a,1),14007(a,1,2,2,2))]. 14013 ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). [hyper(255,a,13218,a(flip),b,13932,a(flip))]. 14014 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [hyper(255,a,13936,a(flip),b,14013,a(flip))]. 14015 K(x,L(K(y,z),K(u,w) / w,v5)) * K(K(y,z),x) = a(v5,K(u,w) / (K(z,y) * w),K(K(y,z),x)). [para(14014(a,2),9955(a,2,2))]. 14016 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(783(a,1),13971(a,1,2,2,1,1)),flip(a)]. 14017 K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). [hyper(13847,a,13992,a),flip(a)]. 14018 K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). [hyper(13847,a,13993,a)]. 14019 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). [hyper(255,a,8453,a,b,13997,a)]. 14020 K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. [para(14018(a,1),13847(a,1))]. 14021 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). [hyper(13982,a,14019,a)]. 14022 K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. [para(14021(a,2),13982(a,1))]. 14023 K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. [para(5409(a,1),14022(a,1,2,2,2,2))]. 14024 T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). [hyper(6677,a,13891,a),flip(a)]. 14025 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). [hyper(255,a,13989,a(flip),b,13977,a)]. 14027 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). [hyper(255,a,8949,a(flip),b,14025,a)]. 14028 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [hyper(13957,a,14027,a)]. 14030 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(13861,a,13999,a),flip(a)]. 14031 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(6718(a,1),14030(a,1,2,2,1))]. 14032 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [hyper(8570,a,14031,a)]. 14033 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [hyper(255,a,8703,a(flip),b,14032,a)]. 14034 K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). [para(129(a,1),14032(a,1,2,2,2,2)),flip(a)]. 14035 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(14032(a,1),5452(a,1,1)),flip(a)]. 14036 T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). [para(7539(a,2),14024(a,1,2))]. 14037 T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(7607,a,14036,a),flip(a)]. 14038 K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(255,a,11278,a,b,14037,a(flip)),flip(a)]. 14039 K(x,T(L(K(y,z),u,w),u / z)) = K(x,K(y,(w * u) / (w * (u / z)))). [para(7574(a,1),13886(a,1,2))]. 14040 K(x,K(y,(z * u) / (z * (u / w)))) != v5 | K(x,K(w,L(y,u,z))) = v5. [para(14039(a,1),13890(a,1))]. 14041 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). [para(8370(a,1),13844(a,1,2))]. 14042 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). [hyper(255,a,13952,a(flip),b,13818,a)]. 14043 K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). [hyper(13823,a,14042,a)]. 14045 K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). [hyper(255,a,13488,a(flip),b,14043,a(flip))]. 14046 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). [hyper(8183,a,14045,a)]. 14047 K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). [hyper(255,a,13824,a(flip),b,14046,a(flip))]. 14048 K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). [para(73(a,1),14047(a,1,2,2,1,2))]. 14049 K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). [hyper(255,a,11082,a(flip),b,14048,a(flip))]. 14050 K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). [hyper(255,a,13946,a(flip),b,14049,a(flip))]. 14051 K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). [hyper(8136,a,14050,a)]. 14052 K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). [hyper(255,a,8134,a,b,14051,a)]. 14053 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [para(6788(a,1),13828(a,1,2,2))]. 14054 K(x,y) \ T(K(x,K(y,z)) * (u * K(x,y)),w) = T(K(x,y) * u,w) * K(y,T(x,z)). [para(7422(a,1),14038(a,1,2,1))]. 14055 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(7067(a,1),14053(a,1,2)),flip(a)]. 14056 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [hyper(255,a,18,a(flip),b,14055,a)]. 14057 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [hyper(6149,a,14056,a),flip(a)]. 14059 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. [para(14056(a,1),6149(a,1))]. 14060 K(((1 / (x \ y)) * ((z * (((y \ x) \ u) * (y \ x))) / (1 / (x \ y)))) \ u,w) = K(1 / z,T(w,u / (1 / (x \ y)))). [para(13402(a,1),14057(a,1,1,1,2,1,2))]. 14061 K(x,y) \ T(z * K(x,T(y,u)),w) = T(K(x,y) * z,w) * K(y,T(x,u)). [para(13860(a,1),14054(a,1,2,1))]. 14062 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). [hyper(5623,a,14061,a),flip(a)]. 14063 K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). [hyper(255,a,14041,a(flip),b,14062,a(flip)),flip(a)]. 14064 T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(u,z)) = T(y,x * K(z,u)). [para(43(a,1),13904(a,1,2,1,2))]. 14065 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(z \ u,w))). [hyper(255,a,13150,a,b,13987,a)]. 14066 T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(z,u)) = T(y,x * K(z,u)). [para(8193(a,1),14064(a,1,2))]. 14067 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(w,u / z))). [para(13747(a,1),14065(a,2,3))]. 14068 T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). [para(13876(a,1),14066(a,1,2))]. 14069 K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). [hyper(255,a,10114,a(flip),b,14068,a(flip)),flip(a)]. 14070 K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). [para(13965(a,2),14069(a,1,2))]. 14071 K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). [para(12404(a,1),14070(a,1,2,1))]. 14072 K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(13131(a,1),14071(a,1,2))]. 14073 K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(5600(a,1),14072(a,1,2))]. 14074 K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). [hyper(8698,a,14073,a)]. 14075 K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). [hyper(255,a,14063,a(flip),b,14074,a(flip)),flip(a)]. 14076 T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). [hyper(5622,a,14075,a),flip(a)]. 14077 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). [para(14076(a,2),13257(a,2,2)),flip(a)]. 14078 L(x,K(y,T(z,x)),u) = R(x,K(y,z),u). [hyper(255,a,13201,a(flip),b,14077,a(flip)),flip(a)]. 14079 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(255,a,13943,a(flip),b,14067,a(flip)),flip(a)]. 14081 K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). [para(18(a,1),14016(a,1,2,2,1,1)),flip(a)]. 14082 K(x,K(y,(z * u) * R(L(w / v5,v5,1 / v5),z,u))) = K(x,K(y,(((1 / v5) * w) * z) * u)). [hyper(13856,a,14081,a)]. 14084 K(x,K(y,(z * u) * L(R(w / v5,z,u),v5,1 / v5))) = K(x,K(y,(((1 / v5) * w) * z) * u)). [para(49(a,1),14082(a,1,2,2,2))]. 14085 K(x,K(y,L(z,K(u,w) / w,v5))) * K(K(z,y),x) = a(v5,K(u,w) / (K(y,z) * w),K(K(z,y),x)). [para(8946(a,1),14015(a,1,1))]. 14086 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(13419(a,1),14060(a,1,1,1))]. 14087 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [hyper(14059,a,14086,a),flip(a)]. 14088 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [hyper(255,a,13921,a,b,14087,a)]. 14089 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [hyper(255,a,14034,a,b,14088,a(flip)),flip(a)]. 14090 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [hyper(13853,a,14089,a),flip(a)]. 14091 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(14090(a,1),14035(a,2,1))]. 14092 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [hyper(255,a,5452,a(flip),b,14091,a)]. 14093 T(T(1 / (1 / L(x,y,z)),T(u,(w / v5) * v6)),1 / x) = T(L(x,y,z),T(u,v6 / (v5 / T(w,v7)))). [para(14092(a,1),3839(a,1,1))]. 14094 T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). [hyper(255,a,3839,a(flip),b,14093,a(flip))]. 14095 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = (T(L(v5,v6,v7),T(x,(u / z) * y)) \ 1) * L((v5 \ 1) \ 1,v6,v7). [para(14094(a,1),13437(a,1,1,1)),flip(a)]. 14096 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [hyper(255,a,13437,a(flip),b,14095,a)]. 14097 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [hyper(255,a,7542,a(flip),b,14096,a)]. 14098 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(7899,a,14097,a)]. 14099 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(255,a,14032,a(flip),b,14098,a(flip)),flip(a)]. 14100 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [hyper(255,a,14033,a(flip),b,14099,a(flip))]. 14101 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [hyper(255,a,8703,a(flip),b,14100,a(flip)),flip(a)]. 14102 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(126(a,1),14101(a,1,2,2,1,1)),flip(a)]. 14104 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [hyper(255,a,13921,a(flip),b,14102,a(flip)),flip(a)]. 14105 K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). [hyper(255,a,8115,a,b,14104,a),flip(a)]. 14106 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(22,a,13930,a,b,14105,a),flip(a)]. 14107 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [hyper(8561,a,14106,a)]. 14108 K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). [hyper(255,a,13946,a(flip),b,14106,a(flip))]. 14109 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [hyper(255,a,13944,a(flip),b,14106,a(flip))]. 14110 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(14106(a,1),13969(a,1,1))]. 14111 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [hyper(13847,a,14109,a)]. 14112 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(19(a,1),14111(a,1,2,2,2,2)),flip(a)]. 14113 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [hyper(9002,a,14110,a),flip(a)]. 14114 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). [hyper(255,a,14003,a(flip),b,14113,a(flip))]. 14115 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(73(a,1),14113(a,1,2,1,2)),flip(a)]. 14116 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [hyper(13849,a,14115,a)]. 14117 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [para(19(a,1),14114(a,2,2,2,2))]. 14118 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [hyper(255,a,13981,a,b,14117,a)]. 14119 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(y * u) / z)) = v5. [para(14117(a,2),13983(a,1))]. 14120 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [hyper(255,a,14116,a(flip),b,14118,a(flip)),flip(a)]. 14121 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). [para(13191(a,1),14118(a,1,2))]. 14122 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. [para(14118(a,2),13983(a,1))]. 14124 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [hyper(255,a,14121,a(flip),b,14120,a(flip))]. 14125 K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(4182(a,2),14120(a,2,2,2,1))]. 14126 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(13193(a,1),14125(a,1,2))]. 14127 K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). [hyper(14119,a,14126,a),flip(a)]. 14128 K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). [hyper(255,a,14107,a(flip),b,14127,a(flip)),flip(a)]. 14129 K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). [hyper(14006,a,14128,a)]. 14130 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [hyper(255,a,14017,a,b,14129,a(flip)),flip(a)]. 14131 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [hyper(255,a,14018,a(flip),b,14129,a(flip))]. 14132 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [hyper(14020,a,14130,a)]. 14133 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [hyper(13988,a,14131,a)]. 14134 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [hyper(255,a,14124,a,b,14131,a(flip)),flip(a)]. 14135 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [hyper(255,a,13845,a(flip),b,14131,a(flip))]. 14136 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [hyper(255,a,13523,a,b,14133,a(flip)),flip(a)]. 14137 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(8534(a,1),14133(a,1,2))]. 14138 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(13370(a,1),14133(a,1,2,2,2,1)),flip(a)]. 14139 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [hyper(13988,a,14134,a)]. 14140 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [hyper(255,a,13337,a(flip),b,14136,a(flip)),flip(a)]. 14141 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(13880(a,1),14137(a,1,2)),flip(a)]. 14142 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(255,a,14139,a(flip),b,14138,a)]. 14144 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [hyper(255,a,14132,a(flip),b,14142,a(flip)),flip(a)]. 14145 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [hyper(13983,a,14144,a)]. 14147 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [hyper(255,a,14001,a(flip),b,14144,a(flip)),flip(a)]. 14148 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(8561,a,14147,a)]. 14149 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(127(a,1),14147(a,1,2,2,2)),flip(a)]. 14150 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(255,a,14079,a(flip),b,14148,a(flip))]. 14151 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [hyper(13822,a,14150,a)]. 14152 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [hyper(255,a,13263,a,b,14150,a)]. 14153 a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. [para(14150(a,1),8136(a,1))]. 14154 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(21(a,1),14151(a,1,2,2,2,2))]. 14155 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [hyper(14006,a,14149,a),flip(a)]. 14156 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [hyper(14023,a,14155,a)]. 14157 K(x,K(y,(z * u) * ((w / u) / z))) != v5 | K(x,K(w,L(y,u,z))) = v5. [para(14156(a,1),14040(a,1))]. 14158 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(21(a,1),14152(a,2,2))]. 14159 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). [hyper(255,a,8450,a(flip),b,14141,a)]. 14160 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [hyper(255,a,14111,a(flip),b,14159,a(flip))]. 14162 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [hyper(255,a,14107,a(flip),b,14160,a)]. 14163 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [hyper(14008,a,14162,a)]. 14164 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(192(a,1),14162(a,1,2,2,2))]. 14165 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [hyper(255,a,13949,a(flip),b,14164,a)]. 14167 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [hyper(255,a,14084,a(flip),b,14165,a(flip))]. 14169 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(122(a,1),14167(a,1,2,2)),flip(a)]. 14170 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [hyper(14010,a,14169,a)]. 14171 K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [hyper(14005,a,14170,a),flip(a)]. 14172 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [hyper(13862,a,14170,a)]. 14173 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [hyper(14005,a,14171,a),flip(a)]. 14174 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [hyper(14011,a,14173,a),flip(a)]. 14175 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [hyper(14008,a,14173,a)]. 14176 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [hyper(255,a,14135,a(flip),b,14173,a(flip))]. 14177 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [hyper(255,a,14163,a(flip),b,14176,a(flip)),flip(a)]. 14178 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [hyper(255,a,13984,a(flip),b,14174,a)]. 14179 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [hyper(255,a,11081,a(flip),b,14172,a)]. 14180 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [hyper(255,a,14145,a(flip),b,14179,a)]. 14181 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [hyper(8561,a,14180,a)]. 14182 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(13036(a,1),14181(a,1,2)),flip(a)]. 14183 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(6629(a,1),14178(a,1,2,2,2))]. 14184 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [hyper(14007,a,14183,a)]. 14185 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [hyper(255,a,14184,a(flip),b,14177,a(flip)),flip(a)]. 14186 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [hyper(14157,a,14185,a),flip(a)]. 14187 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [hyper(255,a,13275,a(flip),b,14186,a(flip)),flip(a)]. 14188 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [hyper(255,a,13211,a,b,14182,a)]. 14189 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(R(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). [hyper(13848,a,14004,a),flip(a)]. 14190 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(L(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). [para(13500(a,1),14189(a,2,2))]. 14191 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(L(y,K(z,u) * v5,v6),K(z,u),v5))). [hyper(255,a,8855,a(flip),b,14190,a)]. 14192 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(255,a,14028,a(flip),b,14191,a)]. 14193 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(14022,a,14192,a)]. 14195 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(255,a,13986,a(flip),b,14193,a(flip)),flip(a)]. 14196 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [hyper(255,a,13991,a(flip),b,14195,a(flip))]. 14197 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [hyper(11646,a,14196,a)]. 14199 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(13062(a,1),14196(a,1,2,2,2))]. 14200 L(K(x,K(y,z)),K(u,w) * v5,v6) = a(x,v5,K(v6,K(y,z))) * K(x,K(y,z)). [hyper(255,a,13212,a,b,14197,a)]. 14201 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(255,a,14187,a(flip),b,14199,a)]. 14202 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(K(w,u),v5). [para(14201(a,1),14085(a,1,1)),flip(a)]. 14203 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(13213,a,14200,a)]. 14204 a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). [para(5162(a,1),14203(a,1,2)),flip(a)]. 14205 a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). [para(5288(a,1),14203(a,1,2))]. 14206 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). [hyper(255,a,11657,a(flip),b,14204,a(flip))]. 14207 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). [para(8138(a,2),14206(a,2,3))]. 14208 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). [para(11082(a,1),14207(a,2,3))]. 14209 a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(19(a,1),14208(a,1,3,2,2))]. 14210 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(8138(a,1),14209(a,1,3))]. 14211 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). [para(19(a,1),14210(a,2,3,2,2))]. 14212 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). [para(8138(a,1),14211(a,2,3))]. 14213 a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). [para(73(a,1),14212(a,1,2,2))]. 14214 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(8138(a,2),14213(a,1,3))]. 14215 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(8138(a,2),14214(a,2,3))]. 14216 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [hyper(255,a,13203,a,b,14215,a(flip)),flip(a)]. 14217 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(8154(a,1),14216(a,2,3))]. 14218 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(v5,K(w,u)). [para(8153(a,1),14202(a,2,2))]. 14220 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(K(w,L(u,z,x)) * K(u,w),v5). [hyper(255,a,11847,a(flip),b,14218,a)]. 14221 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(9955(a,1),14220(a,2,1))]. 14222 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [hyper(255,a,13267,a(flip),b,14221,a)]. 14223 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(14014(a,1),14222(a,1,2))]. 14224 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(8153(a,1),14223(a,1,3))]. 14225 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [hyper(11669,a,14224,a)]. 14226 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(152(a,1),14225(a,1,2,1))]. 14227 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [hyper(255,a,14188,a,b,14226,a(flip)),flip(a)]. 14228 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [hyper(255,a,14217,a(flip),b,14226,a(flip)),flip(a)]. 14229 a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). [hyper(255,a,13204,a,b,14228,a)]. 14230 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(8138(a,1),14227(a,2,3))]. 14231 K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * (1 / (1 / w))) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(5988(a,1),14230(a,1,2,2,2,1))]. 14232 K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(10217(a,1),14231(a,1,2))]. 14233 K(x,K(y,((z / u) / (w * K(1 / z,w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(13175(a,1),14232(a,1,2))]. 14234 K(x,K(y,(((z / u) / w) * K(w,1 / z)) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(6841(a,1),14233(a,1,2,2,1))]. 14235 K(x,K(y,(((z / u) / w) * K(w,1 / z)) * ((w / z) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [hyper(255,a,14175,a(flip),b,14234,a(flip)),flip(a)]. 14236 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [hyper(13972,a,14235,a)]. 14237 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(6704(a,1),14236(a,2,3,2))]. 14238 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(13938(a,1),14237(a,2,3))]. 14239 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [hyper(255,a,14154,a(flip),b,14238,a(flip)),flip(a)]. 14241 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(70(a,1),14239(a,1,3,2,1))]. 14242 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(14112(a,1),14241(a,1,3))]. 14243 a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(8134(a,1),14242(a,1,3))]. 14244 a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). [para(14052(a,1),14243(a,1,3))]. 14245 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). [hyper(255,a,13261,a(flip),b,14244,a(flip))]. 14246 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). [para(8154(a,1),14245(a,1,3))]. 14247 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). [hyper(255,a,14205,a,b,14246,a(flip)),flip(a)]. 14248 a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). [hyper(255,a,14229,a(flip),b,14247,a(flip))]. 14249 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(8134(a,1),14248(a,2,3))]. 14250 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [hyper(14153,a,14249,a)]. 14251 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(8138(a,2),14250(a,2,3))]. 14252 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [hyper(255,a,14158,a(flip),b,14251,a(flip)),flip(a)]. 14253 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(8453(a,1),14252(a,1,3))]. 14254 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(8154(a,1),14253(a,2,3))]. 14255 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [hyper(255,a,14249,a(flip),b,14254,a(flip))]. 14256 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(14255(a,1),13209(a,1,1))]. 14257 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). [para(8134(a,1),14256(a,1,2))]. 14258 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [hyper(13299,a,14257,a),flip(a)]. 14259 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [hyper(9003,a,14258,a)]. 14260 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [hyper(255,a,14140,a(flip),b,14259,a)]. 14261 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,v5 \ ((v5 / (w * u)) * (w * (u * z))))). [para(640(a,1),14259(a,1,2,2)),flip(a)]. 14262 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). [para(7112(a,1),14259(a,1,2)),flip(a)]. 14263 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [hyper(14122,a,14260,a)]. 14264 K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(14262(a,2),8469(a,1))]. 14265 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) * (w * (u * z))) / v5)). [hyper(255,a,13742,a,b,14261,a)]. 14266 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) / v5) * (w * (u * z)))). [hyper(255,a,14263,a(flip),b,14265,a)]. 14267 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). [hyper(255,a,14108,a(flip),b,14266,a)]. 14270 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,T(L(z,u,w),w * u))). [para(8319(a,1),14267(a,2,2))]. 14271 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). [hyper(255,a,13731,a(flip),b,14270,a)]. 14274 K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). [hyper(255,a,13337,a(flip),b,14271,a(flip)),flip(a)]. 14275 K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). [hyper(14264,a,14274,a),flip(a)]. 14278 K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). [para(7014(a,1),14275(a,1,2)),flip(a)]. 14280 K(x,K(y,L(z,u,w))) = K(z,K(x,y)). [hyper(255,a,8462,a(flip),b,14278,a)]. 14281 K(x,K(y,L(z,u,w))) = K(x,K(y,z)). [hyper(255,a,8450,a(flip),b,14278,a)]. 14289 (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). [para(14280(a,1),8853(a,1,2))]. 14299 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [para(14281(a,1),13751(a,1,1))]. 14301 L(x,y,K(z,K(u,w))) = x. [hyper(13554,a,14289,a)]. 14306 (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,K(y,K(z,u)) * w,x). [para(14301(a,1),424(a,2,1))]. 14307 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [para(13737(a,2),14299(a,2,2))]. 14309 K(x,K(y,z)) \ (u * w) = u * (K(x,K(y,z)) * w). [hyper(8181,a,14307,a)]. 14312 (K(x,K(y,z)) \ (u * w)) \ (u * (K(x,K(y,z)) * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). [para(14309(a,2),14306(a,1,1))]. 14313 (K(x,K(y,z)) \ (u * w)) \ (K(x,K(y,z)) \ (u * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). [para(14309(a,2),14312(a,1,2))]. 14314 L(L(x,y,z),z * y,K(K(u,w),v5)) = L(x,K(v5,K(u,w)) * y,z). [hyper(255,a,6335,a(flip),b,14313,a(flip)),flip(a)]. 14315 L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,K(v5,K(u,w)) * y,z). [para(8100(a,1),14314(a,1,3))]. 14316 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). [hyper(255,a,14301,a(flip),b,14315,a(flip))]. 14319 L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). [para(7548(a,1),14316(a,1,2))]. 14320 R(x,K(y,z),u) = L(x,K(y,z),u). [hyper(255,a,14078,a(flip),b,14319,a(flip)),flip(a)]. 14321 $F # answer("RKLK 2"). [resolve(14320,a,55,a)]. ============================== end of proof ========================== ============================== STATISTICS ============================ Given=12694. Generated=260126687. Kept=14292. proofs=6. Usable=12693. Sos=1591. Demods=0. Limbo=0, Disabled=41. Hints=18604. Kept_by_rule=0, Deleted_by_rule=259600519. Forward_subsumed=511876. Back_subsumed=2. Sos_limit_deleted=0. Sos_displaced=0. Sos_removed=0. New_demodulators=0 (0 lex), Back_demodulated=0. Back_unit_deleted=0. Demod_attempts=0. Demod_rewrites=0. Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0. Nonunit_fsub_feature_tests=155824. Nonunit_bsub_feature_tests=373. Megabytes=62.30. User_CPU=1340.97, System_CPU=52.29, Wall_clock=1393. ============================== end of statistics ===================== ============================== end of search ========================= THEOREM PROVED THEOREM PROVED Exiting with 6 proofs. ------ process 13980 exit (max_proofs) ------  Process 13980 exit (max_proofs) Fri Apr 17 17:35:50 2020